--- /dev/null
+/**************************************************************************
+ * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
+ * *
+ * Author: The ALICE Off-line Project. *
+ * Contributors are mentioned in the code where appropriate. *
+ * *
+ * Permission to use, copy, modify and distribute this software and its *
+ * documentation strictly for non-commercial purposes is hereby granted *
+ * without fee, provided that the above copyright notice appears in all *
+ * copies and that both the copyright notice and this permission notice *
+ * appear in the supporting documentation. The authors make no claims *
+ * about the suitability of this software for any purpose. It is *
+ * provided "as is" without express or implied warranty. *
+ **************************************************************************/
+///////////////////////////////////////////////////////////////////////////
+// Implementation of AliDecayer using EvtGen package. //
+// //
+// Giuseppe E. Bruno & Fiorella Fionda //
+// (Giuseppe.Bruno@ba.infn.it) (Fiorella.Fionda@ba.infn.it) //
+///////////////////////////////////////////////////////////////////////////
+
+#include <TSystem.h>
+#include <TDatabasePDG.h>
+#include <TParticle.h>
+#include <TClonesArray.h>
+#include <TLorentzVector.h>
+
+#include "EvtGenBase/EvtStdHep.hh"
+#include "EvtGenBase/EvtRandomEngine.hh"
+#include "EvtGen/EvtGen.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtParticleFactory.hh"
+#include "AliDecayerEvtGen.h"
+#include "AliLog.h"
+
+ClassImp(AliDecayerEvtGen)
+//____________________________________________________________
+AliDecayerEvtGen::AliDecayerEvtGen():
+ fRandomEngine(0x0),
+ fGenerator(0x0),
+ fEvtstdhep(0x0),
+ fDecayTablePath(0x0),
+ fParticleTablePath(0x0),
+ fDecay(kAll)
+ {
+ // Default constructor
+ fEvtstdhep = new EvtStdHep();
+ fDecayTablePath = gSystem->ExpandPathName("$ALICE_ROOT/TEvtGen/EvtGen/DECAY.DEC"); //default decay table
+ fParticleTablePath = gSystem->ExpandPathName("$ALICE_ROOT/TEvtGen/EvtGen/evt.pdl"); //particle table
+ }
+//_________________________________________________________________
+AliDecayerEvtGen::AliDecayerEvtGen(const AliDecayerEvtGen &decayer):
+ AliDecayer(decayer),
+ fRandomEngine(decayer.fRandomEngine),
+ fGenerator(decayer.fGenerator),
+ fEvtstdhep(decayer.fEvtstdhep),
+ fDecayTablePath(decayer.fDecayTablePath),
+ fParticleTablePath(decayer.fParticleTablePath),
+ fDecay(decayer.fDecay)
+ {
+ // Copy Constructor
+ decayer.Copy(*this);
+ }
+//____________________________________________________________
+AliDecayerEvtGen::~AliDecayerEvtGen()
+ {
+ // Destructor
+ if(fRandomEngine) {delete fRandomEngine;}
+ fRandomEngine = 0;
+ if(fGenerator) {delete fGenerator;}
+ fGenerator = 0;
+ if(fEvtstdhep) {delete fEvtstdhep;}
+ fEvtstdhep = 0;
+ if(fDecayTablePath) {delete fDecayTablePath;}
+ fDecayTablePath = 0;
+ if(fParticleTablePath) {delete fParticleTablePath;}
+ fParticleTablePath = 0;
+ }
+
+//___________________________________________________________
+void AliDecayerEvtGen::Init()
+ {
+ //Standard AliDecayerEvtGen initializer:
+ //initialize EvtGen with default decay table (DECAY.DEC), particle table (evt.pdl)
+ //and fRandomEngine for generation of random numbers
+ //
+ if(fGenerator){
+ AliWarning(" AliDecayerEvtGen already initialized!!!!\n");
+ return;
+ }
+ fRandomEngine=new EvtNUMRandomEngine();
+ fGenerator=new EvtGen(fDecayTablePath,fParticleTablePath,fRandomEngine);
+ }
+//____________________________________________________________
+void AliDecayerEvtGen::Decay(Int_t ipart, TLorentzVector *p)
+ {
+ //
+ //Decay a particle
+ //input: pdg code and momentum of the particle to be decayed
+ //all informations about decay products are stored in fEvtstdhep
+ //
+ EvtId IPART=EvtPDL::evtIdFromStdHep(ipart);
+ EvtVector4R p_init=EvtVector4R::EvtVector4R(p->E(),p->Px(),p->Py(),p->Pz());
+ EvtParticle *froot_part=EvtParticleFactory::particleFactory(IPART,p_init);
+ fGenerator->generateDecay(froot_part);
+ fEvtstdhep->init();
+ froot_part->makeStdHep(*fEvtstdhep);
+ //froot_part->printTree(); //to print the decay chain
+ froot_part->deleteTree();
+ }
+
+//____________________________________________________________
+Int_t AliDecayerEvtGen::ImportParticles(TClonesArray *particles)
+ {
+ //
+ //Input: pointer to a TClonesArray - Output(Int_t): number of decay products
+ //Put all the informations about the decay products in the
+ //TClonesArray particles
+ //
+ if (particles == 0) return 0;
+ TClonesArray &clonesParticles = *particles;
+ clonesParticles.Clear();
+
+ int j;
+ int istat;
+ int partnum;
+ double px,py,pz,e;
+ double x,y,z,t;
+ EvtVector4R p4,x4;
+
+ Int_t npart=fEvtstdhep->getNPart();
+ for(int i=0;i<fEvtstdhep->getNPart();i++){
+ j=i+1;
+ int jmotherfirst=fEvtstdhep->getFirstMother(i)+1;
+ int jmotherlast=fEvtstdhep->getLastMother(i)+1;
+ int jdaugfirst=fEvtstdhep->getFirstDaughter(i)+1;
+ int jdauglast=fEvtstdhep->getLastDaughter(i)+1;
+
+ partnum=fEvtstdhep->getStdHepID(i);
+
+ //verify if all particles of decay chain are in the TDatabasePDG
+ TParticlePDG *partPDG = TDatabasePDG::Instance()->GetParticle(partnum);
+ if(!partPDG)
+ {
+ AliWarning("Particle code non known in TDatabasePDG - set pdg = 89");
+ partnum=89; //internal use for unspecified resonance data
+ }
+
+ istat=fEvtstdhep->getIStat(i);
+
+ if(istat!=1 && istat!=2) Info("ImportParticles","Attention: unknown status code!");
+ if(istat == 2) istat = 11; //status decayed
+
+ p4=fEvtstdhep->getP4(i);
+ x4=fEvtstdhep->getX4(i);
+ px=p4.get(1);
+ py=p4.get(2);
+ pz=p4.get(3);
+ e=p4.get(0);
+
+ x=x4.get(1);//[mm]
+ y=x4.get(2);//[mm]
+ z=x4.get(3);//[mm]
+ t=x4.get(0);//[mm]
+
+ AliDebug(1,Form("partnum = %d istat = %d primaMadre = %d ultimaMadre = %d primaF = %d ultimaF=%d x=%f y=%f z=%f t=%f e=%f px=%f \n",partnum,istat,jmotherfirst,jmotherlast,jdaugfirst,jdauglast,x,y,z,t,e,px));
+
+ new(clonesParticles[i]) TParticle(partnum,istat,jmotherfirst,-1,jdaugfirst,jdauglast,px,py,pz,e,x,y,z,t);
+
+ //set polarization!!!
+ }
+
+ return npart;
+
+ }
+
+void AliDecayerEvtGen::Copy(TObject &) const
+ {
+ //
+ // Copy *this onto AliDecayerEvtGen -- not implemented
+ //
+ Fatal("Copy","Not implemented!\n");
+ }
+
+void AliDecayerEvtGen::ForceDecay()
+ {
+ //
+ // Intupt: none - Output: none
+ // Set the decay mode to decay particles: for each case is read a
+ // different decay table. case kAll read the default decay table only
+ //
+ Decay_t decay = fDecay;
+ switch(decay)
+ {
+ case kAll:
+ break;
+ case kBJpsiDiElectron:
+ SetDecayTablePath(gSystem->ExpandPathName("$ALICE_ROOT/TEvtGen/EvtGen/DecayTable/BTOJPSITOELE.DEC"));
+ break;
+ case kBJpsi:
+ SetDecayTablePath(gSystem->ExpandPathName("$ALICE_ROOT/TEvtGen/EvtGen/DecayTable/BTOJPSI.DEC"));
+ break;
+ case kBJpsiDiMuon:
+ SetDecayTablePath(gSystem->ExpandPathName("$ALICE_ROOT/TEvtGen/EvtGen/DecayTable/BTOJPSITOMU.DEC"));
+ break;
+ case kBSemiElectronic:
+ SetDecayTablePath(gSystem->ExpandPathName("$ALICE_ROOT/TEvtGen/EvtGen/DecayTable/BTOELE.DEC"));
+ break;
+ case kHardMuons:
+ case kChiToJpsiGammaToMuonMuon:
+ case kChiToJpsiGammaToElectronElectron:
+ case kBSemiMuonic:
+ case kSemiMuonic:
+ case kDiMuon:
+ case kSemiElectronic:
+ case kDiElectron:
+ case kBPsiPrimeDiMuon:
+ case kPiToMu:
+ case kKaToMu:
+ case kAllMuonic:
+ case kWToMuon:
+ case kWToCharm:
+ case kWToCharmToMuon:
+ case kZDiMuon:
+ case kZDiElectron:
+ case kHadronicD:
+ case kHadronicDWithout4Bodies:
+ case kPhiKK:
+ case kOmega:
+ case kLambda:
+ case kNoDecay:
+ case kNoDecayHeavy:
+ case kNeutralPion:
+ case kBPsiPrimeDiElectron:
+ AliWarning(Form("Warning: case %s not implemented for this class!",(Char_t)decay));
+ break;
+ }
+ ReadDecayTable();
+ }
+
+Float_t AliDecayerEvtGen::GetPartialBranchingRatio(Int_t)
+ {
+ // This method is dummy
+ return 1.;
+ }
+
+Float_t AliDecayerEvtGen::GetLifetime(Int_t kf)
+ {
+ //
+ //Input: pdg code of a particle
+ //return lifetime in sec for a particle with particle code kf
+ //
+ EvtId IdPart=EvtPDL::evtIdFromStdHep(kf);
+ Double_t lifetime = EvtPDL::getctau(IdPart); //c*tau (mm)
+ AliDebug(1,Form("lifetime is %f (mum) , particle id= %d",lifetime*1000,kf));
+ return lifetime*kconv; //tau (sec)
+ }
+
+void AliDecayerEvtGen::ReadDecayTable()
+ {
+ //Input none - Output none
+ //Read the decay table that correspond to the path
+ //fDecayTablePath
+ //
+ TString temp = fDecayTablePath;
+ if(!temp.EndsWith("DECAY.DEC"))
+ fGenerator->readUDecay(fDecayTablePath);
+ }
+////////////////////////////////////////////////////////////
+Bool_t AliDecayerEvtGen::SetDecayTablePath(Char_t *path)
+ {
+ //
+ //Set the path of the decay table read to force particle decays
+ //
+ if(gSystem->AccessPathName(path))
+ {
+ AliWarning("Attention: This path not exist!\n");
+ return kFALSE;
+ }
+ fDecayTablePath = path;
+ return kTRUE;
+ }
+
+
+
--- /dev/null
+#ifndef ALIDECAYEREVTGEN_H
+#define ALIDECAYEREVTGEN_H
+/* Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
+ * See cxx source for full Copyright notice */
+///////////////////////////////////////////////////////////////////////////
+// Implementation of AliDecayer using EvtGen package. It inherits //
+// from AliDecayer. //
+// //
+// Contact: Giuseppe.Bruno@ba.infn.it & Fiorella.Fionda@ba.infn.it //
+///////////////////////////////////////////////////////////////////////////
+
+
+#include "AliDecayer.h"
+
+class EvtGen;
+class EvtRandomEngine;
+class EvtStdHep;
+class TLorentzVector;
+class TClonesArray;
+
+class AliDecayerEvtGen : public AliDecayer
+{
+ public:
+ AliDecayerEvtGen();
+ AliDecayerEvtGen(const AliDecayerEvtGen &decayer);
+ virtual ~AliDecayerEvtGen();
+ virtual void Init();
+ virtual void Decay(Int_t ipart, TLorentzVector *p);
+ virtual Int_t ImportParticles(TClonesArray *particles);
+ virtual void SetForceDecay(Decay_t decay) {fDecay=decay;}
+ virtual void SetForceDecay(Int_t decay){SetForceDecay((Decay_t) decay);}
+ virtual void ForceDecay();
+ virtual Float_t GetPartialBranchingRatio(Int_t ipart);
+ virtual Float_t GetLifetime(Int_t kf);
+ Char_t* GetDecayTablePath() {return fDecayTablePath;}
+ virtual void ReadDecayTable();
+ Bool_t SetDecayTablePath(Char_t *path);
+
+ private:
+ void Copy(TObject &decayer) const;
+ AliDecayerEvtGen &operator=(const AliDecayerEvtGen &decayer)
+ {decayer.Copy(*this);return(*this);}
+
+ protected:
+ EvtRandomEngine *fRandomEngine; //!pointer to EvtRandomEngine to generate random number
+ EvtGen *fGenerator; //!pointer to EvtGen class interface
+ EvtStdHep *fEvtstdhep; //!pointer to EvtGen common block
+ Char_t *fDecayTablePath; //!pointer to decay table path
+ Char_t *fParticleTablePath; //!pointer to particle table path
+ Decay_t fDecay; // Forced decay case
+
+ ClassDef(AliDecayerEvtGen,0) //AliDecayer implementation using EvtGen
+};
+
+//converts from mm/c to s
+const Double_t kconv=0.001/2.999792458e8;
+
+#endif
+
+
--- /dev/null
+/**************************************************************************
+ * Copyright(c) 1998-1999, ALICE Experiment at CERN, All rights reserved. *
+ * *
+ * Author: The ALICE Off-line Project. *
+ * Contributors are mentioned in the code where appropriate. *
+ * *
+ * Permission to use, copy, modify and distribute this software and its *
+ * documentation strictly for non-commercial purposes is hereby granted *
+ * without fee, provided that the above copyright notice appears in all *
+ * copies and that both the copyright notice and this permission notice *
+ * appear in the supporting documentation. The authors make no claims *
+ * about the suitability of this software for any purpose. It is *
+ * provided "as is" without express or implied warranty. *
+***************************************************************************/
+///////////////////////////////////////////////////////////////////////////
+// Class to generate decays of particles generated by a //
+// previous generator. It works as a generator, but pratically it //
+// performs only decays. It works with this scheme: first loops over //
+// particles on the stack, selects those to be decayed, decays them //
+// and then pushes the decay products on the stack. //
+// //
+// Giuseppe E. Bruno & Fiorella Fionda //
+// (Giuseppe.Bruno@ba.infn.it) (Fiorella.Fionda@ba.infn.it) //
+///////////////////////////////////////////////////////////////////////////
+
+#include "AliStack.h"
+#include "AliGenEvtGen.h"
+#include "AliRun.h"
+#include <TParticle.h>
+
+ClassImp(AliGenEvtGen)
+///////////////////////////////////////////////////////////////////////////
+AliGenEvtGen::AliGenEvtGen():
+ fStack(0x0),
+ fDecayer(0x0),
+ fForceDecay(kAll),
+ fSwitchOff(kBeautyPart),
+ fUserDecay(kFALSE),
+ fUserDecayTablePath(0x0)
+ {
+ //
+ // Default Construction
+ //
+ }
+///////////////////////////////////////////////////////////////////////////////////////////
+AliGenEvtGen::~AliGenEvtGen()
+ {
+ //
+ // Standard Destructor
+ //
+ if(fStack) {delete fStack;}
+ fStack = 0;
+ if(fDecayer) {delete fDecayer;}
+ fDecayer = 0;
+ if(fUserDecayTablePath) {delete fUserDecayTablePath;}
+ fUserDecayTablePath = 0;
+ }
+///////////////////////////////////////////////////////////////////////////////////////////
+
+void AliGenEvtGen::Init()
+ {
+ //
+ // Standard AliGenerator Initializer - no input
+ // 1) initialize EvtGen with default decay and particle table
+ // 2) set the decay mode to force particle
+ // 3) set a user decay table if defined
+ //
+ if(fDecayer)
+ {
+ AliWarning("AliGenEvtGen already initialized!!!");
+ return;
+ }
+ fDecayer = new AliDecayerEvtGen();
+ fDecayer->Init(); //read the default decay table DECAY.DEC and particle table
+
+ //if is set a decay mode: default decay mode is kAll
+ fDecayer->SetForceDecay(fForceDecay);
+ fDecayer->ForceDecay();
+
+ //if is defined a user decay table
+ if(fUserDecay)
+ {
+ fDecayer->SetDecayTablePath(fUserDecayTablePath);
+ fDecayer->ReadDecayTable();
+ }
+ }
+
+/////////////////////////////////////////////////////////////////////////////////////////////
+void AliGenEvtGen::Generate()
+ {
+ //
+ //Generate method - Input none - Output none
+ //For each event:
+ //1)return the stack of the previous generator and select particles to be decayed by EvtGen
+ //2)decay particles selected and put the decay products on the stack
+ //
+ //
+ Float_t polar[3]= {0,0,0}; // Polarisation of daughter particles
+ Float_t origin0[3]; // Origin of the parent particle
+ Float_t pc[3], och[3]; // Momentum and origin of the children particles from EvtGen
+ Int_t nt;
+ Float_t tof;
+ Int_t nPrimsPythia;
+ TLorentzVector *mom=new TLorentzVector();
+ static TClonesArray *particles;
+ if(!particles) particles = new TClonesArray("TParticle",1000);
+ fStack = AliRunLoader::Instance()->Stack();
+ if(!fStack) {Info("Generate","Error: No stack found!"); return;}
+ nPrimsPythia = fStack->GetNprimary();
+ AliDebug(1,Form("nPrimsPythia = %d \n",nPrimsPythia));
+ for (Int_t iTrack = 0; iTrack < nPrimsPythia; ++iTrack) {
+ TParticle *part = fStack->Particle(iTrack);
+ Int_t pdg=part->GetPdgCode();
+
+ AliDebug(1,Form("GetFlavour = %d e pdg = %d \n",GetFlavour(pdg),pdg));
+
+ switch(fSwitchOff)
+ {
+ case kAllPart:
+ break;
+ case kBeautyPart:
+ if(GetFlavour(pdg)!=5) continue;
+ break;
+ case kCharmPart:
+ if(GetFlavour(pdg)!=4) continue;
+ break;
+ }
+
+ //check if particle is already decayed by Pythia
+ if(part->GetStatusCode() != 1 || part->GetNDaughters()>0)
+ {
+ Info("AliGenEvtGen","Attention: particle %d is already decayed by Pythia!",pdg);
+ continue;
+ }
+
+ part->SetStatusCode(11); //Set particle as decayed : change the status code
+
+ mom->SetPxPyPzE(part->Px(),part->Py(),part->Pz(),part->Energy());
+ Int_t np;
+
+ do{
+ fDecayer->Decay(part->GetPdgCode(),mom);
+ np = fDecayer->ImportParticles(particles);
+ }while(np<0);
+
+ Int_t* trackIt = new Int_t[np];
+ Int_t* pParent = new Int_t[np];
+ AliDebug(1,Form("np = %d \n",np));
+
+ for (int i = 0; i < np; i++) {
+ pParent[i] = -1;
+ trackIt[i] = 0;
+ }
+ //select trackable particle
+ if (np >1) {
+ TParticle* iparticle = (TParticle *) particles->At(0);//parent particle
+ for (int i = 1; i<np ; i++) {
+ iparticle = (TParticle*) particles->At(i);
+ Int_t ks = iparticle->GetStatusCode();
+
+ //track last decay products
+ if(ks==1) trackIt[i]=1;
+
+ }//decay particles loop
+
+ }// if decay products
+
+ origin0[0]=part->Vx(); //[cm]
+ origin0[1]=part->Vy(); //[cm]
+ origin0[2]=part->Vz(); //[cm]
+ //
+ // Put decay products on the stack
+ //
+ for (int i = 1; i < np; i++) {
+ TParticle* iparticle = (TParticle *) particles->At(i);
+ Int_t kf = iparticle->GetPdgCode();
+ Int_t ksc = iparticle->GetStatusCode();
+ Int_t jpa = iparticle->GetFirstMother()-1; //jpa = 0 for daughters of beauty particles
+ Int_t iparent = (jpa > 0) ? pParent[jpa] : iTrack;
+
+ och[0] = origin0[0]+iparticle->Vx()/10; //[cm]
+ och[1] = origin0[1]+iparticle->Vy()/10; //[cm]
+ och[2] = origin0[2]+iparticle->Vz()/10; //[cm]
+ pc[0] = iparticle->Px(); //[GeV/c]
+ pc[1] = iparticle->Py(); //[GeV/c]
+ pc[2] = iparticle->Pz(); //[GeV/c]
+ tof = part->T()+kconv*iparticle->T();
+
+ AliDebug(1,Form("FirstMother = %d e indicePart = %d e pdg = %d \n",jpa,i,kf));
+
+ PushTrack(trackIt[i], iparent, kf, pc, och, polar,tof, kPDecay, nt, 1., ksc);
+ if(trackIt[i]==1) AliDebug(1,Form("Trackable particles: %d e pdg %d \n",i,kf));
+ pParent[i] = nt;
+ KeepTrack(nt);
+ SetHighWaterMark(nt);
+ }// Particle loop
+ particles->Clear();
+ if (trackIt) delete[] trackIt;
+ if (pParent) delete[] pParent;
+ }
+ Info("Generate","AliGenEvtGen DONE");
+ }
+
+//////////////////////////////////////////////////////////////////////////////////////////
+Int_t AliGenEvtGen::GetFlavour(Int_t pdgCode)
+ {
+ //
+ // return the flavour of a particle
+ // input: pdg code of the particle
+ // output: Int_t
+ // 3 in case of strange (open and hidden)
+ // 4 in case of charm (")
+ // 5 in case of beauty (")
+ //
+ Int_t pdg = TMath::Abs(pdgCode);
+ //Resonance
+ if (pdg > 100000) pdg %= 100000;
+ if(pdg > 10000) pdg %= 10000;
+ // meson ?
+ if(pdg > 10) pdg/=100;
+ // baryon ?
+ if(pdg > 10) pdg/=10;
+ return pdg;
+ }
+
+/////////////////////////////////////////////////////////////////////////////////////////
+Bool_t AliGenEvtGen::SetUserDecayTable(Char_t *path)
+ {
+ //
+ //Set the path of user decay table if it is defined
+ //
+ //put a comment to control if path exists
+ if(gSystem->AccessPathName(path))
+ {
+ AliWarning("Attention: This path not exist!\n");
+ return kFALSE;
+ }
+ fUserDecayTablePath = path;
+ fUserDecay = kTRUE;
+ return kTRUE;
+ }
--- /dev/null
+#ifndef ALIGENEVTGEN_H
+#define ALIGENEVTGEN_H
+
+/* Copyright(c) 2007-2009, ALICE Experiment at CERN, All rights reserved. *
+ * See cxx source for full Copyright notice */
+///////////////////////////////////////////////////////////////////////////
+// //
+// AliGenEvtGen class to performs decays of particles generated by a //
+// previous generator. It inherits from AliGenerator. //
+// //
+// Origin: Giuseppe.Bruno@ba.infn.it & Fiorella.Fionda@ba.infn.it //
+///////////////////////////////////////////////////////////////////////////
+
+#include "AliGenerator.h"
+#include "AliDecayerEvtGen.h"
+
+class TParticle;
+
+class AliGenEvtGen : public AliGenerator {
+
+ public:
+
+ typedef enum {kAllPart, kBeautyPart, kCharmPart} DecayOff_t;
+
+ AliGenEvtGen();
+
+ ~AliGenEvtGen();
+
+ virtual void Init();
+ virtual void Generate();
+ AliDecayer* GetDecayer() {return fDecayer;}
+ void SetForceDecay(Decay_t decay = kAll) {fForceDecay = decay;} //set a decay mode
+ Bool_t SetUserDecayTable(Char_t *path);
+ void SetParticleSwitchedOff(DecayOff_t decay) {fSwitchOff = decay;} //set particles to be decayed by EvtGen
+
+ protected:
+ Int_t GetFlavour(Int_t pdgCode);
+
+
+ private:
+ AliStack *fStack; //!pointer to AliStack
+ AliDecayerEvtGen *fDecayer; //!pointer to AliDecayerEvtGen
+ Decay_t fForceDecay; //!decay case
+ DecayOff_t fSwitchOff; //!particle decay
+ Bool_t fUserDecay; //!TRUE if a user decay table is set
+ Char_t *fUserDecayTablePath; //!pointer to path of user decay table
+
+ AliGenEvtGen(const AliGenEvtGen &EvtGen);
+ AliGenEvtGen & operator=(const AliGenEvtGen & rhs);
+
+
+
+ ClassDef(AliGenEvtGen,0) //AliGenerator interface to EvtGen
+};
+
+////////////////////////////////////////////////////////////////////////////////////////////////
+
+#endif
--- /dev/null
+# $Id: DECAY.DEC,v 1.271 2009/02/15 18:43:38 ryd Exp $
+#
+#Define the B0B0bar mass difference
+Define dm 0.489e12
+Define dgamma 0
+Define qoverp 1
+Define phaseqoverp 0
+# define the values of the CKM angles (alpha=70, beta=40)
+Define alpha 1.365
+Define beta 0.39
+Define gamma 1.387
+Define twoBetaPlusGamma 2.167
+Define betaPlusHalfGamma 1.0835
+Define minusGamma -1.387
+Define minusTwoBeta -0.78
+
+# New definitions for psiKstar modes (Lange, July 26, 2000)
+Define PKHplus 0.159
+Define PKHzero 0.775
+Define PKHminus 0.612
+Define PKphHplus 1.563
+Define PKphHzero 0.0
+Define PKphHminus 2.712
+
+Define Aplus 0.490
+Define Azero 1.10
+Define Aminus 0.4
+#
+Define phAplus 2.5
+Define phAzero 0.0
+Define phAminus -0.17
+
+### These are for incoherent B_s and B_d mixing
+Define qoverp_incohMix_B_s0 1.0
+Define dm_incohMix_B_s0 17.1e12
+Define qoverp_incohMix_B0 1.0
+Define dm_incohMix_B0 0.489e12
+Define qoverp_incohMix_D0 1.0
+Define dm_incohMix_D0 0.0
+
+#
+# These particle aliases are used in for CP violating decays
+# in which the decay distributions depends on how the K* decayed.
+#
+#
+Alias K*L K*0
+Alias K*S K*0
+Alias K*BL anti-K*0
+Alias K*BS anti-K*0
+Alias K*0T K*0
+Alias anti-K*0T anti-K*0
+Alias K*BR anti-K*0
+Alias K*0R K*0
+Alias anti-K_0*0N anti-K_0*0
+Alias K_0*0N K_0*0
+#
+ChargeConj K*L K*BL
+ChargeConj K*S K*BS
+ChargeConj K*0T anti-K*0T
+ChargeConj K_0*0N anti-K_0*0N
+ChargeConj K*0R K*BR
+#
+#JetSet parameter modifications
+#
+# O.Long : March 30, 2000
+# Change from using Peterson fragmentation to Lund fragmentation
+# with the default parameters (A=0.30, B=0.58)
+#
+#(Very important that there are no blank spaces in the parameter string!)
+# Number of flavor produced. 5 = udscb production
+JetSetPar MSTJ(104)=5
+# turn on initial state radiation (was off before)
+ #JetSetPar MSTJ(107)=1
+#use Lund fragmentation with default parameters
+JetSetPar MSTJ(11)=4
+# Lund symmetric fragmentation function parameter a
+JetSetPar PARJ(41)=.30
+# Lund symmetric fragmentation function parameter b
+JetSetPar PARJ(42)=.58
+# Lund symmetric fragmentation function parameter a
+JetSetPar PARJ(43)=.50
+# Lund symmetric fragmentation function parameter b
+JetSetPar PARJ(44)=.90
+#eps_c from CLEO 8/97
+ #JetSetPar PARJ(54)=-.040
+# eps_b
+ #JetSetPar PARJ(55)=-.004
+#Turn of B0-B0B mixing in JetSet:
+ #JetSetPar MSTJ(26)=0
+# D* production - Lange July 19, 2002
+#050214 JetSetPar PARJ(13)=0.45
+ #JetSetPar PARJ(13)=0.4
+# eta'
+# lange - change eta' production to agree better with udsc results
+# from charmless group
+#050214 JetSetPar PARJ(26)=0.15
+ #JetSetPar PARJ(26)=0.1
+# lange - change eta production to agree better with udsc results
+# from charmless group
+#050214 JetSetPar PARJ(25)=1.0
+ #JetSetPar PARJ(25)=0.6
+# P(ssbar)/P(uubar) - has a big effect on phis. Turn down to
+# reduce phi production in continuum.
+#050214 was no change
+ #JetSetPar PARJ(2)=0.26
+#050214JetSetPar PARJ(12)=0.2
+ #JetSetPar PARJ(12)=0.55
+ #JetSetPar PARJ(11)=0.4
+#lange/Petersen Nov 14, 2004 baryon production turned down for sp8
+ #JetSetPar PARJ(1)=0.065
+# control of L=1 mesons (in order: J1S0 J0S1 J1S1 J2S1
+ #JetSetPar PARJ(14)=0.05
+ #JetSetPar PARJ(15)=0.05
+ #JetSetPar PARJ(16)=0.05
+ #JetSetPar PARJ(17)=0.05
+#cut-off parameter used to stop fragmentation process (was .4, CLEO uses.3)
+ #JetSetPar PARJ(33)=0.3
+#
+### Parameters below are a new tuning of the continuum
+### fragmentation that softens the pion spectrum
+### but commented out untill verified to be physically
+### sound. ryd 00-02-10
+### Lund symmetric fragmentation function parameter a
+##JetSetPar PARJ(41)=.40
+### Lund symmetric fragmentation function parameter b
+##JetSetPar PARJ(42)=.29
+### Lund symmetric fragmentation function parameter a
+##JetSetPar PARJ(43)=.60
+### Lund symmetric fragmentation function parameter b
+##JetSetPar PARJ(44)=.45
+###eps_c from CLEO 8/97
+##JetSetPar PARJ(54)=-.040
+##JetSetPar PARJ(46)=0.0
+##JetSetPar PARJ(33)=0.2
+###End of new continuum tuning
+#
+#pythia stuff for standalone generation
+# no isr
+ #JetSetPar MSTP(11)=0
+# take the qqbar energy from EvtGen
+ #JetSetPar MSTP(171)=1
+ #JetSetPar MSTP(172)=1
+
+
+# Turn on PHOTOS for all decays
+# Lange Aug19,2002
+yesPhotos
+#
+
+ModelAlias VubHybridB0 VUBHYBRID 4.62 2.27 0.22 8 8 8
+ 0.28 1.40 1.60 1.80 2.00 2.50 3.00 3.50
+ 0.00 2.50 5.00 7.50 10.00 12.50 15.00 20.00
+ 0.00 0.50 1.00 1.25 1.50 1.75 2.00 2.25
+ 0.00000 1.2059 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.09098 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.47335 1.21021 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.52695 1.21011 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.6304 1.21096 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.33327 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.54178 1.20886 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.59143 1.20802 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.69332 1.20698 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.66811 1.20755 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.34624 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.23645 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.53769 1.21089 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.63768 1.20843 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.71713 1.20869 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.75566 1.20778 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.74831 1.20916 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.21312 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.62594 1.20926 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.5902 1.20516 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.68809 1.20016 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.78229 1.20459 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.82156 1.20561 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.72422 1.20485 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.00423 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.55708 1.20977 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.61225 1.20629 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.66904 1.20049 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.72567 1.20029 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.78501 1.19808 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.83037 1.19609 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.59537 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.00000 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.45962 1.20645 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.53276 1.20083 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.57906 1.19669 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.68263 1.19458 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.74222 1.19771 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.78307 1.19479 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.58714 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.19489 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.24451 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.14704 1.20472 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.42163 1.19849 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.37319 1.18877 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.38655 1.1995 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.34297 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.31299 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.57067 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.57067 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995;
+
+# Hybrid weights for charged B -> Xu l nu decays
+ModelAlias VubHybridBp VUBHYBRID 4.62 2.27 0.22 8 8 8
+ 0.28 1.40 1.60 1.80 2.00 2.50 3.00 3.50
+ 0.00 2.50 5.00 7.50 10.00 12.50 15.00 20.00
+ 0.00 0.50 1.00 1.25 1.50 1.75 2.00 2.25
+ 0.00000 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.00000 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.11287 1.26974 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.10819 1.26929 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.27133 1.26671 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.17256 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.18216 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.32091 1.26953 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.52924 1.26988 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.51586 1.26755 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.26794 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.21166 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.29627 1.26757 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.52168 1.26788 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.5675 1.26647 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.62174 1.26467 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.00536 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.38235 1.2678 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.44511 1.26686 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.54476 1.26672 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.66852 1.26707 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.64859 1.26542 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.53664 1.2536 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.00000 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.22558 1.26822 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.38409 1.26531 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.52891 1.26284 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.65141 1.26648 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.70896 1.26227 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.79827 1.26101 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.4274 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.08636 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.28546 1.26121 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.40621 1.26584 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.58209 1.26637 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.61119 1.26424 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.70714 1.26297 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.73926 1.25781 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.53898 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.52061 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.00000 1.26726 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.16996 1.2649 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.23334 1.2534 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.25078 1.26036 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.27805 1.25917 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.27337 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.18235 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.84654 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.84654 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986;
+
+#
+
+
+# Define model alias for the D -> K*lnu decays
+# This should correspond to MV=2.1 GeV, MA1=MA2=2.5 GeV,
+# R2=0.85 and RV=1.5
+#
+ModelAlias SLPOLE_DtoKstarlnu SLPOLE 1.00 -0.558 0.0 1.0
+ 0.85 -0.558 0.0 1.0
+ 1.50 -0.790 0.0 1.0
+ 0.00 -0.558 0.0 1.0;
+#
+# Model alias for the D -> rho l nu
+# MV=2.0 GeV and MA1=MA2=2.4 GeV, R2=0.6, RV=1.5
+#
+ModelAlias SLPOLE_Dtorholnu SLPOLE 1.00 -0.605 0.0 1.0
+ 0.60 -0.605 0.0 1.0
+ 1.50 -0.871 0.0 1.0
+ 0.00 -0.605 0.0 1.0;
+#
+# Model alias for the D -> omega l nu
+# MV=2.0 GeV and MA1=MA2=2.4 GeV, R2=0.6, RV=1.5
+#
+ModelAlias SLPOLE_Dtoomegalnu SLPOLE 1.00 -0.605 0.0 1.0
+ 0.60 -0.605 0.0 1.0
+ 1.50 -0.871 0.0 1.0
+ 0.00 -0.605 0.0 1.0;
+#
+# Model aliases for D -> Klnu, pilenu, etalnu, eta'lnu
+#
+ModelAlias SLBKPOLE_DtoKlnu SLBKPOLE 1.0 0.25 1.0 2.112;
+ModelAlias SLBKPOLE_Dtopilnu SLBKPOLE 1.0 0.25 1.0 2.010;
+ModelAlias SLBKPOLE_Dtoetalnu SLBKPOLE 1.0 0.25 1.0 2.010;
+ModelAlias SLBKPOLE_Dtoetaplnu SLBKPOLE 1.0 0.25 1.0 2.010;
+
+
+#Decay vpho
+#1.000 PYCONT;
+#Enddecay
+#
+# use new VSS_BMIX mixing decay model (DK,28-Oct-1999)
+Decay Upsilon(4S)
+0.508200 B+ B- VSS;
+0.490000 B0 anti-B0 VSS_BMIX dm;
+0.000016 e+ e- PHOTOS VLL;
+0.000016 mu+ mu- PHOTOS VLL;
+0.000016 tau+ tau- PHOTOS VLL;
+0.000090 Upsilon(2S) pi+ pi- VVPIPI;
+0.000045 Upsilon(2S) pi0 pi0 VVPIPI;
+0.000090 Upsilon pi+ pi- VVPIPI;
+0.000045 Upsilon pi0 pi0 VVPIPI;
+0.000200 Upsilon eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+
+# BF ~ (2J+1)E^3_gamma; see PRL 94, 032001
+# V-> gamma S Partial wave (L,S)=(0,0)
+0.000094 gamma chi_b0(3P) HELAMP 1. 0. 1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.000141 gamma chi_b1(3P) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.000131 gamma chi_b2(3P) HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+# V-> gamma S Partial wave (L,S)=(0,0)
+0.000003 gamma chi_b0(2P) HELAMP 1. 0. 1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.000008 gamma chi_b1(2P) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.000012 gamma chi_b2(2P) HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+0.000850 g g g PYTHIA 4;
+0.000040 gamma g g PYTHIA 4;
+Enddecay
+#
+#
+#
+Decay anti-B0
+# b -> c semileptonic
+#
+0.0529 D*+ e- anti-nu_e PHOTOS HQET 0.77 1.33 0.92;
+0.0208 D+ e- anti-nu_e PHOTOS ISGW2;
+0.0052 D_1+ e- anti-nu_e PHOTOS ISGW2;
+0.0045 D_0*+ e- anti-nu_e PHOTOS ISGW2;
+0.0083 D'_1+ e- anti-nu_e PHOTOS ISGW2;
+0.0023 D_2*+ e- anti-nu_e PHOTOS ISGW2;
+0.0003 D*+ pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0065 D*0 pi+ e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0010 D+ pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0032 D0 pi+ e- anti-nu_e PHOTOS GOITY_ROBERTS;
+
+0.0529 D*+ mu- anti-nu_mu PHOTOS HQET 0.77 1.33 0.92;
+0.0208 D+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0052 D_1+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0045 D_0*+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0083 D'_1+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0023 D_2*+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0003 D*+ pi0 mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+0.0065 D*0 pi+ mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+0.0010 D+ pi0 mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+0.0032 D0 pi+ mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+#
+# b -> c tau nu
+#
+0.0202 D*+ tau- anti-nu_tau ISGW2;
+0.0088 D+ tau- anti-nu_tau ISGW2;
+0.0013 D_1+ tau- anti-nu_tau ISGW2;
+0.0013 D_0*+ tau- anti-nu_tau ISGW2;
+0.0020 D'_1+ tau- anti-nu_tau ISGW2;
+0.0020 D_2*+ tau- anti-nu_tau ISGW2;
+#
+# b -> u l nu
+#
+# 03/28/01 S.Menke included inclusive B -> X_u l nu decays for m(X_u) > 1.26 GeV.
+# with some thresholds to gradually switch from excl. to incl.
+# modeling without big jumps keeping the better known excl.
+# Brs at their actual values and constrain the incl. Br and
+# weights in a way that ~40% of the total BR belongs to
+# the mass region > 1.5 GeV
+# October 20, 2004 - Lange - update using sl awg input
+# March 30, 2005 J. Dingfelder: Updated B -> X_u l nu hybrid model
+# (supersedes older version by S. Menke). Inclusive
+# decays are reweighted in three kinematic
+# variables mX, q2, and El (=> 512 weights total).
+# The list of weights is included as ModelAlias
+# once per B charge state.
+# NOTE: - The specified parameters for model VUBHYBRID are:
+# mb, a, alpha_s, nbins_mX, nbins_q2, nbins_El,
+# list of threshold values for mX, q2, El in ascending order.
+#
+# *** DO NOT CHANGE ANY OF THESE PARAMETERS! ***
+# Otherwise a new set of weights would be needed, since they were
+# generated for a certain set of values for mb, a, excl. BFs, non-res BF.
+#
+# - If no binning (nbins or thresholds) are specified after the first
+# three parameters (mb,a,alpha_s) no hybrid weighting is performed.
+
+# --- Hybrid weights for neutral B -> Xu l nu decays
+# NOTE: Do NOT CHANGE any BFs without using the corresponding set of
+# hybrid weights (and vice versa).
+
+0.000136 pi+ e- anti-nu_e PHOTOS ISGW2;
+0.000220 rho+ e- anti-nu_e PHOTOS ISGW2;
+0.000000 D(2S)+ e- anti-nu_e PHOTOS ISGW2;
+0.000000 D*(2S)+ e- anti-nu_e PHOTOS ISGW2;
+0.001892 Xu+ e- anti-nu_e PHOTOS VubHybridB0;
+#
+0.000136 pi+ mu- anti-nu_mu PHOTOS ISGW2;
+0.000220 rho+ mu- anti-nu_mu PHOTOS ISGW2;
+0.000000 D(2S)+ mu- anti-nu_mu PHOTOS ISGW2;
+0.000000 D*(2S)+ mu- anti-nu_mu PHOTOS ISGW2;
+0.001892 Xu+ mu- anti-nu_mu PHOTOS VubHybridB0;
+#
+0.000060 pi+ tau- anti-nu_tau ISGW2;
+0.000083 rho+ tau- anti-nu_tau ISGW2;
+0.000090 a_1+ tau- anti-nu_tau ISGW2;
+0.000008 b_1+ tau- anti-nu_tau ISGW2;
+0.000008 a_0+ tau- anti-nu_tau ISGW2;
+0.000008 a_2+ tau- anti-nu_tau ISGW2;
+0.000000 rho(2S)+ tau- anti-nu_tau ISGW2;
+0.000000 D(2S)+ tau- anti-nu_tau ISGW2;
+0.000000 D*(2S)+ tau- anti-nu_tau ISGW2;
+#
+
+#
+# b->u hadronic
+# Ref. [B1]:
+# Lange Nov 14, 2004 (flip D_s K -- is opposite of D_s pi)
+0.000015 D_s- pi+ PHSP;
+0.000028 D_s+ K- PHSP;
+0.000029 D_s*- pi+ SVS;
+0.000022 D_s*+ K- SVS;
+#
+0.000016 rho+ D_s- SVS;
+0.000016 K*- D_s+ SVS;
+0.000016 D_s*- rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000016 D_s*+ K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+
+
+#
+# b -> s gamma
+#
+0.0000401 anti-K*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000135 anti-K_10 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000065 anti-K'_10 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000128 anti-K'*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000166 anti-K_2*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000017 anti-K''*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+0.0003139 anti-Xsd gamma BTOXSGAMMA 2;
+#
+0.000000134 anti-K0 e+ e- PHOTOS BTOSLLBALL;
+0.000001045 anti-K*0 e+ e- PHOTOS BTOSLLBALL;
+0.000004994 anti-Xsd e+ e- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.000000574 anti-K0 mu+ mu- PHOTOS BTOSLLBALL;
+0.000001100 anti-K*0 mu+ mu- PHOTOS BTOSLLBALL;
+0.000002506 anti-Xsd mu+ mu- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.000000130 anti-K0 tau+ tau- PHOTOS BTOSLLBALL;
+0.000000190 anti-K*0 tau+ tau- PHOTOS BTOSLLBALL;
+0.000000200 anti-Xsd tau+ tau- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+#
+#------------------------------------------------------------------------------
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
+# B0 -> CP eigenstates (some exclusive b -> u) sum=0.00036
+#
+0.0000049 pi+ pi- SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.0000015 pi0 pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 eta SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.0000015 pi0 eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 pi0 f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+# pi0 rho0 is with the 3-body modes
+0.000001 pi0 omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta eta SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta' eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta' f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta' rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 a_00 f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 a_00 rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.0000003 f_0 f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 f_0 rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 f_0 omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 f_0 a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 f_0 b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+
+# Penguin dominated modes are sin2beta, not sin2alpha
+0.0000043 phi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0000043 phi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000001 eta K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000001 eta K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000032 eta' K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000032 eta' K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0000023 omega K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0000023 omega K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+#don't allow jetset to simulate the same decay but to a K0 or anti-K0
+#Lange 1/30/2003
+
+0.0 phi anti-K0 PHSP;
+0.0 phi K0 PHSP;
+
+0.0 eta anti-K0 PHSP;
+0.0 eta K0 PHSP;
+
+0.0 eta' anti-K0 PHSP;
+0.0 eta' K0 PHSP;
+
+0.0 omega anti-K0 PHSP;
+0.0 omega K0 PHSP;
+# phipi0 has no simple Pengun or tree so who knows - ditto phieta/eta'?
+0.00000005 phi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00000003 phi eta SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00000003 phi eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+#
+0.0000163 anti-K*0 eta SVS;
+0.0000038 anti-K*0 eta' SVS;
+0.000001 anti-K*0 omega SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 phi omega SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 omega omega SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 omega rho0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+#
+#
+#2-body modes from Jim Olsen
+0.0000188 K- pi+ PHSP;
+0.0000001 K+ K- PHSP;
+# K_S0 K_L0 is 0
+# see http://babar-hn.slac.stanford.edu:5090/HyperNews/get/pubboard14/156.html
+0.0000006 K_S0 K_S0 PHSP;
+0.0000000 K_S0 K_L0 PHSP;
+0.0000006 K_L0 K_L0 PHSP;
+0.0000115 anti-K0 pi0 PHSP;
+# Put in with 0 BR to keep PYTHIA from generating it
+0.0000000 K0 anti-K0 PHSP;
+#
+# 3-body by John Back (jback@slac.stanford.edu) - Oct 15, 2002
+# JGS intersperses modes with pi0->eta,eta'
+# anti-B0 modes
+# Model generates rho(770), rho(1450) and rho(1700) resonances
+# with interference (uses CKM angle alpha)
+0.000024 pi- pi+ pi0 BTO3PI_CP dm alpha;
+# Put in with 0 BR to keep PYTHIA from generating these (see BTO3PI_CP above)
+0.000000 pi0 rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000000 rho- pi+ SVS;
+0.000000 rho+ pi- SVS;
+0.000000 rho(2S)- pi+ SVS;
+0.000000 rho(2S)+ pi- SVS;
+0.000000 rho(3S)- pi+ SVS;
+0.000000 rho(3S)+ pi- SVS;
+#
+# rho0 3-body modes
+0.0000022 rho0 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.0000022 rho0 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+#
+# rho+ 3-body modes
+0.0000085 rho+ K- SVS;
+#
+# rho(1450) 3-body modes
+0.0000005 rho(2S)0 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.0000005 rho(2S)0 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+#
+#
+# f0,a0(980) 3-body modes
+0.0000055 f_0 anti-K0 PHSP;
+0.000001 a_00 anti-K0 PHSP;
+0.000001 a_0+ K- PHSP;
+
+0.000001 a_0- pi+ PHSP;
+0.000003 a_0+ pi- PHSP;
+#
+# K*0(892) 3-body modes
+0.0000017 anti-K*0 pi0 SVS;
+0.000003 anti-K*0 K0 SVS;
+#
+# K*0(1430) 3-body modes
+0.000001 anti-K_0*0 pi0 PHSP;
+0.000003 anti-K_0*0 K0 PHSP;
+#
+# K*0(1680) 3-body modes
+0.000001 anti-K''*0 pi0 SVS;
+0.000001 anti-K''*0 K0 SVS;
+
+#
+# K*-(892) 3-body modes
+0.0000085 K*- pi+ SVS;
+0.0000002 K*- K+ SVS;
+#
+# K*-1(430) 3-body modes
+0.000033 K_0*- pi+ PHSP;
+0.0000002 K_0*- K+ PHSP;
+#
+# K*0(1680) 3-body modes
+0.000001 K''*- pi+ SVS;
+0.0000001 K''*- K+ SVS;
+#
+#
+# Non-resonant 3-body left-overs
+# Most modes are set at 1e-6
+#
+# pi-pi+pi0: high mass + f0(400-1200) = (1+1)e-6
+####0402270.000002 pi- pi+ pi0 PHSP;
+0.000017 pi- pi+ eta PHSP;
+0.000001 pi- pi+ eta' PHSP;
+#
+# pi- pi+ anti-K0:
+0.000013 pi- pi+ anti-K0 PHSP;
+#
+# K- pi+ pi0
+0.000002 K- pi+ pi0 PHSP;
+0.000020 K- pi+ eta PHSP;
+0.000001 K- pi+ eta' PHSP;
+#
+# pi- K+ K0.
+# Both B0 and B0bar can decay to these => 0.5e-6 each
+0.0000005 pi- K+ anti-K0 PHSP;
+0.0000005 pi+ K- K0 PHSP;
+#
+# K- K+ anti-K0: total - phiKs = 25 -
+0.0000205 K- K+ anti-K0 PHSP;
+#
+# K- K+ pi0
+0.000001 K- K+ pi0 PHSP;
+0.000001 K- K+ eta PHSP;
+0.000001 K- K+ eta' PHSP;
+#
+# pi0 anti-K0 K0
+0.000002 anti-K0 K0 pi0 PHSP;
+0.000001 anti-K0 K0 eta PHSP;
+0.000001 anti-K0 K0 eta' PHSP;
+#
+# pi0 pi0 anti-K0
+0.000002 anti-K0 pi0 pi0 PHSP;
+0.000001 anti-K0 pi0 eta PHSP;
+0.000001 anti-K0 pi0 eta' PHSP;
+0.000001 anti-K0 eta eta PHSP;
+0.000001 anti-K0 eta eta' PHSP;
+0.000001 anti-K0 eta' eta' PHSP;
+#
+# anti-K0 K0 anti-K0: 8*BF(KsKsKs)~=48 (8 is a guess)
+0.000048 anti-K0 K0 anti-K0 PHSP;
+#
+# pi0 pi0 pi0
+0.000001 pi0 pi0 pi0 PHSP;
+0.000001 pi0 pi0 eta PHSP;
+0.000001 pi0 pi0 eta' PHSP;
+0.000001 pi0 eta eta PHSP;
+0.000001 pi0 eta eta' PHSP;
+#
+#^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#---------------------------------------------------------------------------
+#
+#4-body modes from Andrei Gritsan
+#--- 4-body rho-rho, rho-pi-pi, pi-pi-pi-pi --------------------------
+0.0000011 rho0 rho0 SVV_CP alpha dm 1 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000025 rho+ rho- SVV_CP alpha dm 1 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000005 rho0 pi+ pi- PHSP;
+0.000003 omega pi+ pi- PHSP;
+0.000001 rho0 pi0 pi0 PHSP;
+0.000001 omega pi0 pi0 PHSP;
+0.0000005 rho0 pi0 eta PHSP;
+0.0000002 rho0 eta eta PHSP;
+0.0000002 rho0 pi0 eta' PHSP;
+0.0000001 rho0 eta eta' PHSP;
+0.0000005 omega pi0 eta PHSP;
+0.0000002 omega eta eta PHSP;
+0.0000002 omega pi0 eta' PHSP;
+0.0000001 omega eta eta' PHSP;
+
+0.000010 rho- pi+ pi0 PHSP;
+0.000005 rho- pi+ eta PHSP;
+0.000010 rho+ pi- pi0 PHSP;
+0.000005 rho+ pi- eta PHSP;
+0.000010 pi+ pi- pi+ pi- PHSP;
+0.000010 pi+ pi- pi0 pi0 PHSP;
+0.000005 pi+ pi- eta pi0 PHSP;
+0.000002 pi+ pi- eta eta PHSP;
+0.000002 pi+ pi- eta' pi0 PHSP;
+0.000001 pi+ pi- eta' eta PHSP;
+0.0000165 a_1- pi+ SVS;
+0.0000165 a_1+ pi- SVS;
+0.000000 b_1- pi+ SVS;
+0.000010 b_1+ pi- SVS;
+0.000002 rho+ a_0- SVS;
+0.000010 rho- a_0+ SVS;
+
+0.000001 f_0 pi+ pi- PHSP;
+0.000001 f_0 pi0 pi0 PHSP;
+0.000001 a_0- pi+ pi0 PHSP;
+0.000001 a_00 pi0 pi0 PHSP;
+0.000001 a_0+ pi- pi0 PHSP;
+#--- 4-body rho-K*, rho-pi-K, K*-pi-pi, pi-pi-pi-K -------------------
+0.0000056 rho0 anti-K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 rho+ K*- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 pi- pi+ anti-K*0 PHSP;
+0.000010 pi+ pi0 K*- PHSP;
+0.000005 pi+ eta K*- PHSP;
+0.000002 pi+ eta' K*- PHSP;
+0.000010 rho+ K- pi0 PHSP;
+0.000005 rho+ K- eta PHSP;
+0.000002 rho+ K- eta' PHSP;
+0.000010 rho+ anti-K0 pi- PHSP;
+0.000010 rho- anti-K0 pi+ PHSP;
+0.000005 rho0 anti-K0 pi0 PHSP;
+0.000002 rho0 anti-K0 eta PHSP;
+0.000001 rho0 anti-K0 eta' PHSP;
+0.000010 rho0 K- pi+ PHSP;
+0.000005 omega anti-K0 pi0 PHSP;
+0.000002 omega anti-K0 eta PHSP;
+0.000001 omega anti-K0 eta' PHSP;
+0.000005 omega K- pi+ PHSP;
+0.000010 pi+ pi0 pi- anti-K0 PHSP;
+0.000005 pi+ eta pi- anti-K0 PHSP;
+0.000010 pi0 pi0 pi0 anti-K0 PHSP;
+0.000005 pi0 pi0 eta anti-K0 PHSP;
+0.000002 pi0 eta eta anti-K0 PHSP;
+0.000002 pi0 pi0 eta' anti-K0 PHSP;
+0.000001 pi0 eta eta' anti-K0 PHSP;
+0.000010 pi+ pi- pi+ K- PHSP;
+0.000010 pi0 pi0 pi+ K- PHSP;
+0.000005 pi0 eta pi+ K- PHSP;
+0.000002 eta eta pi+ K- PHSP;
+0.000002 pi0 eta' pi+ K- PHSP;
+0.000001 eta eta' pi+ K- PHSP;
+0.000010 rho0 anti-K_0*0 PHSP;
+0.000020 rho+ K_0*- PHSP;
+0.000010 pi- pi+ anti-K_0*0 PHSP;
+0.000010 pi0 pi0 anti-K_0*0 PHSP;
+0.000010 pi+ pi0 K_0*- PHSP;
+0.000002 anti-K*0 f_0 SVS;
+0.000010 a_10 anti-K0 SVS;
+0.000010 a_1+ K- SVS;
+0.0000066 b_10 anti-K0 SVS;
+0.000010 b_1+ K- SVS;
+0.000005 anti-K*0 a_00 SVS;
+0.000005 K*- a_0+ SVS;
+#--- 4-body K*-K*, rho-K-K, K*-K-pi, phi-pi-pi, pi-pi-K-K ------------
+0.00000105 K*0 anti-K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 K*+ K*- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi rho0 SVV_CP alpha dm 1 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi pi- pi+ PHSP;
+0.000001 K+ K- rho0 PHSP;
+0.000001 K0 anti-K0 rho0 PHSP;
+0.000001 K+ K- omega PHSP;
+0.000001 K0 anti-K0 omega PHSP;
+0.000001 K+ anti-K0 rho- PHSP;
+0.000001 K- K0 rho+ PHSP;
+0.000001 K+ K- pi- pi+ PHSP;
+0.000001 K+ K- pi0 pi0 PHSP;
+0.0000005 K+ K- pi0 eta PHSP;
+0.0000002 K+ K- eta eta PHSP;
+0.0000002 K+ K- pi0 eta' PHSP;
+0.0000001 K+ K- eta eta' PHSP;
+0.000001 K0 anti-K0 pi- pi+ PHSP;
+0.000001 K0 anti-K0 pi0 pi0 PHSP;
+0.0000005 K0 anti-K0 pi0 eta PHSP;
+0.0000002 K0 anti-K0 eta eta PHSP;
+0.0000002 K0 anti-K0 pi0 eta' PHSP;
+0.0000001 K0 anti-K0 eta eta' PHSP;
+0.000001 K*- K+ pi0 PHSP;
+0.000001 K*+ K- pi0 PHSP;
+0.000001 K0 anti-K*0 pi0 PHSP;
+0.000001 K*0 anti-K0 pi0 PHSP;
+0.000001 K- K*0 pi+ PHSP;
+0.000001 K*- K0 pi+ PHSP;
+0.000001 K+ anti-K*0 pi- PHSP;
+0.000001 K*+ anti-K0 pi- PHSP;
+
+#--- 4-body phi-K*, phi-K-pi, K-K-K*, pi-K-K-K -----------------------
+0.0000095 phi anti-K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 phi K- pi+ PHSP;
+0.000010 phi anti-K0 pi0 PHSP;
+0.000007 phi anti-K0 eta PHSP;
+0.000010 K- K+ anti-K*0 PHSP;
+0.000010 K- K*+ anti-K0 PHSP;
+0.000010 K*- K+ anti-K0 PHSP;
+0.000010 K+ K- K- pi+ PHSP;
+0.000010 K+ K- anti-K0 pi0 PHSP;
+0.000005 K+ K- anti-K0 eta PHSP;
+0.000010 K0 anti-K0 anti-K0 pi0 PHSP;
+0.000005 K0 anti-K0 anti-K0 eta PHSP;
+0.0000046 phi anti-K_0*0 PHSP;
+0.000010 K- K+ anti-K_0*0 PHSP;
+0.000010 K- K_0*+ anti-K0 PHSP;
+0.000010 K_0*- K+ anti-K0 PHSP;
+0.000002 phi anti-K'_10 PHSP;
+0.000002 K- K+ anti-K'_10 PHSP;
+#--- 4-body phi-phi, phi-K-K, K-K-K-K --------------------------------
+0.0000001 phi phi SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi K+ K- PHSP;
+0.0000001 phi K0 anti-K0 PHSP;
+0.0000001 K+ K- K+ K- PHSP;
+0.0000001 K0 anti-K0 K+ K- PHSP;
+0.0000001 K0 anti-K0 K0 anti-K0 PHSP;
+#5-body modes from Jim Smith - 1/30/05
+#--- 5-body rho-rho-pi, rho-pi-pi-pi, pi-pi-pi-pi-pi -------------------
+0.000010 rho0 rho0 pi0 PHSP;
+0.000005 rho0 rho0 eta PHSP;
+0.000002 rho0 rho0 eta' PHSP;
+0.000010 omega rho0 pi0 PHSP;
+0.000005 omega rho0 eta PHSP;
+0.000002 omega rho0 eta' PHSP;
+0.000010 rho+ rho- pi0 PHSP;
+0.000005 rho+ rho- eta PHSP;
+0.000002 rho+ rho- eta' PHSP;
+0.000010 rho0 rho- pi+ PHSP;
+0.0000066 rho0 rho+ pi- PHSP;
+0.000010 omega rho- pi+ PHSP;
+0.0000066 omega rho+ pi- PHSP;
+0.000002 rho0 pi+ pi- pi0 PHSP;
+0.000001 rho0 pi+ pi- eta PHSP;
+0.000001 rho0 pi+ pi- eta' PHSP;
+0.000002 rho0 pi0 pi0 pi0 PHSP;
+0.000001 rho0 pi0 eta pi0 PHSP;
+0.000001 rho0 pi0 eta' pi0 PHSP;
+0.000002 omega pi+ pi- pi0 PHSP;
+0.000001 omega pi+ pi- eta PHSP;
+0.000001 omega pi+ pi- eta' PHSP;
+0.000002 omega pi0 pi0 pi0 PHSP;
+0.000001 omega pi0 eta pi0 PHSP;
+0.000001 omega pi0 eta' pi0 PHSP;
+
+0.000002 rho- pi+ pi+ pi- PHSP;
+0.000002 rho- pi+ pi0 pi0 PHSP;
+0.000001 rho- pi+ pi0 eta PHSP;
+0.000001 rho- pi+ pi0 eta' PHSP;
+0.000002 rho+ pi- pi+ pi- PHSP;
+0.000002 rho+ pi- pi0 pi0 PHSP;
+0.000001 rho+ pi- pi0 eta PHSP;
+0.000001 rho+ pi- pi0 eta' PHSP;
+0.000001 pi+ pi- pi+ pi- pi0 PHSP;
+0.0000005 pi+ pi- pi+ pi- eta PHSP;
+0.0000002 pi+ pi- pi+ pi- eta' PHSP;
+0.000001 pi+ pi- pi0 pi0 pi0 PHSP;
+0.0000005 pi+ pi- pi0 pi0 eta PHSP;
+0.0000002 pi+ pi- pi0 pi0 eta' PHSP;
+0.0000005 pi0 pi0 pi0 pi0 pi0 PHSP;
+0.0000002 pi0 pi0 pi0 pi0 eta PHSP;
+0.0000001 pi0 pi0 pi0 pi0 eta' PHSP;
+
+0.000010 a_1- rho+ PHSP;
+0.000010 a_1+ rho- PHSP;
+0.000010 a_10 rho0 PHSP;
+0.000010 a_10 omega PHSP;
+0.000010 a_1- pi+ pi0 PHSP;
+0.000005 a_1- pi+ eta PHSP;
+0.000002 a_1- pi+ eta' PHSP;
+0.000010 a_10 pi+ pi- PHSP;
+0.000010 a_10 pi0 pi0 PHSP;
+0.000005 a_10 pi0 eta PHSP;
+0.000002 a_10 pi0 eta' PHSP;
+0.000010 a_1+ pi- pi0 PHSP;
+0.000005 a_1+ pi- eta PHSP;
+0.000002 a_1+ pi- eta' PHSP;
+
+0.000010 rho- f_0 pi+ PHSP;
+0.000010 rho+ f_0 pi- PHSP;
+0.000010 rho0 f_0 pi0 PHSP;
+0.000005 rho0 f_0 eta PHSP;
+0.000002 rho0 f_0 eta' PHSP;
+0.000010 omega f_0 pi0 PHSP;
+
+0.000010 rho- a_00 pi+ PHSP;
+0.000010 rho- a_0+ pi0 PHSP;
+0.000005 rho- a_0+ eta PHSP;
+0.000002 rho- a_0+ eta' PHSP;
+
+0.000010 rho0 a_0- pi+ PHSP;
+0.000010 rho0 a_0+ pi- PHSP;
+0.000010 rho0 a_00 pi0 PHSP;
+0.000005 rho0 a_00 eta PHSP;
+0.000002 rho0 a_00 eta' PHSP;
+0.000010 rho+ a_00 pi- PHSP;
+0.000010 rho+ a_0- pi0 PHSP;
+0.000005 rho+ a_0- eta PHSP;
+0.000002 rho+ a_0- eta' PHSP;
+0.000002 f_0 pi+ pi- pi0 PHSP;
+0.000001 f_0 pi+ pi- eta PHSP;
+0.000001 f_0 pi+ pi- eta' PHSP;
+0.000002 f_0 pi0 pi0 pi0 PHSP;
+0.000001 f_0 pi0 pi0 eta PHSP;
+0.000001 f_0 pi0 pi0 eta' PHSP;
+0.000001 a_00 pi+ pi- pi0 PHSP;
+0.000001 a_00 pi0 pi0 pi0 PHSP;
+
+0.000001 a_0- pi+ pi+ pi- PHSP;
+0.000001 a_0- pi+ pi0 pi0 PHSP;
+0.000001 a_0+ pi- pi+ pi- PHSP;
+0.000001 a_0+ pi- pi0 pi0 PHSP;
+#--- 5-body rho-K*pi, rho-2pi-K, K*-3pi, 4pi-K -------------------
+0.000010 rho0 K*- pi+ PHSP;
+0.000010 rho+ K*- pi0 PHSP;
+0.000005 rho+ K*- eta PHSP;
+0.000002 rho+ K*- eta' PHSP;
+0.000010 rho0 anti-K*0 pi0 PHSP;
+0.000005 rho0 anti-K*0 eta PHSP;
+0.000002 rho0 anti-K*0 eta' PHSP;
+
+0.000010 rho+ anti-K*0 pi- PHSP;
+0.000010 rho- anti-K*0 pi+ PHSP;
+0.000010 omega K*- pi+ PHSP;
+0.000010 omega anti-K*0 pi0 PHSP;
+0.000005 omega anti-K*0 eta PHSP;
+0.000002 omega anti-K*0 eta' PHSP;
+0.000010 pi+ pi- K*- pi+ PHSP;
+0.000010 pi+ pi0 K*- pi0 PHSP;
+0.000005 pi+ pi0 K*- eta PHSP;
+0.000002 pi+ pi0 K*- eta' PHSP;
+0.000010 pi+ pi- anti-K*0 pi0 PHSP;
+0.000005 pi+ pi- anti-K*0 eta PHSP;
+0.000002 pi+ pi- anti-K*0 eta' PHSP;
+0.000010 pi0 pi0 anti-K*0 pi0 PHSP;
+0.000005 pi0 pi0 anti-K*0 eta PHSP;
+0.000002 pi0 pi0 anti-K*0 eta' PHSP;
+0.000010 rho- K- pi+ pi+ PHSP;
+0.000010 rho0 K- pi+ pi0 PHSP;
+0.000005 rho0 K- pi+ eta PHSP;
+0.000002 rho0 K- pi+ eta' PHSP;
+0.000010 rho+ K- pi+ pi- PHSP;
+0.000010 rho+ K- pi0 pi0 PHSP;
+0.000005 rho+ K- pi0 eta PHSP;
+0.000002 rho+ K- pi0 eta' PHSP;
+
+0.000010 rho0 anti-K0 pi+ pi- PHSP;
+0.000010 rho0 anti-K0 pi0 pi0 PHSP;
+0.000005 rho0 anti-K0 pi0 eta PHSP;
+0.000002 rho0 anti-K0 pi0 eta' PHSP;
+0.000010 rho- anti-K0 pi+ pi0 PHSP;
+0.000005 rho- anti-K0 pi+ eta PHSP;
+0.000002 rho- anti-K0 pi+ eta' PHSP;
+0.000010 rho+ anti-K0 pi- pi0 PHSP;
+0.000005 rho+ anti-K0 pi- eta PHSP;
+0.000002 rho+ anti-K0 pi- eta' PHSP;
+0.000010 omega K- pi+ pi0 PHSP;
+0.000005 omega K- pi+ eta PHSP;
+0.000002 omega K- pi+ eta' PHSP;
+0.000010 omega anti-K0 pi+ pi- PHSP;
+0.000010 omega anti-K0 pi0 pi0 PHSP;
+0.000005 omega anti-K0 pi0 eta PHSP;
+0.000002 omega anti-K0 pi0 eta' PHSP;
+0.000002 pi+ pi- pi+ K- pi0 PHSP;
+0.000001 pi+ pi- pi+ K- eta PHSP;
+0.000001 pi+ pi- pi+ K- eta' PHSP;
+0.000002 pi0 pi0 pi+ K- pi0 PHSP;
+0.000001 pi0 pi0 pi+ K- eta PHSP;
+0.000001 pi0 pi0 pi+ K- eta' PHSP;
+0.000002 pi+ pi- pi+ anti-K0 pi- PHSP;
+0.000002 pi+ pi- pi0 anti-K0 pi0 PHSP;
+0.000001 pi+ pi- pi0 anti-K0 eta PHSP;
+0.000001 pi+ pi- pi0 anti-K0 eta' PHSP;
+0.000002 pi0 pi0 pi0 anti-K0 pi0 PHSP;
+0.000001 pi0 pi0 pi0 anti-K0 eta PHSP;
+0.000001 pi0 pi0 pi0 anti-K0 eta' PHSP;
+
+0.000010 rho- anti-K_0*0 pi+ PHSP;
+0.000010 rho0 anti-K_0*0 pi0 PHSP;
+0.000005 rho0 anti-K_0*0 eta PHSP;
+0.000002 rho0 anti-K_0*0 eta' PHSP;
+0.000010 rho+ anti-K_0*0 pi- PHSP;
+0.000010 rho+ K_0*- pi0 PHSP;
+0.000005 rho+ K_0*- eta PHSP;
+0.000002 rho+ K_0*- eta' PHSP;
+0.000010 rho0 K_0*- pi+ PHSP;
+0.000010 pi+ pi- K_0*- pi+ PHSP;
+0.000010 pi+ pi0 K_0*- pi0 PHSP;
+0.000005 pi+ pi0 K_0*- eta PHSP;
+0.000002 pi+ pi0 K_0*- eta' PHSP;
+0.000010 pi+ pi- anti-K_0*0 pi0 PHSP;
+0.000005 pi+ pi- anti-K_0*0 eta PHSP;
+0.000002 pi+ pi- anti-K_0*0 eta' PHSP;
+0.000010 pi0 pi0 anti-K_0*0 pi0 PHSP;
+0.000005 pi0 pi0 anti-K_0*0 eta PHSP;
+0.000005 pi0 pi0 anti-K_0*0 eta' PHSP;
+0.000010 K*- f_0 pi+ PHSP;
+0.000010 anti-K*0 f_0 pi0 PHSP;
+0.000005 anti-K*0 f_0 eta PHSP;
+0.000002 anti-K*0 f_0 eta' PHSP;
+0.000010 a_1- anti-K0 pi+ PHSP;
+0.000020 a_10 anti-K*0 PHSP;
+0.000010 a_10 K- pi+ PHSP;
+0.000010 a_10 anti-K0 pi0 PHSP;
+0.000020 a_1+ K*- PHSP;
+0.000010 a_1+ K- pi0 PHSP;
+0.000010 a_1+ anti-K0 pi- PHSP;
+0.000005 K*- a_00 pi+ PHSP;
+0.000005 K*- a_0+ pi0 PHSP;
+0.000002 K*- a_0+ eta PHSP;
+0.000001 K*- a_0+ eta' PHSP;
+0.000005 anti-K*0 a_0+ pi- PHSP;
+0.000005 anti-K*0 a_0- pi+ PHSP;
+0.000005 anti-K*0 a_00 pi0 PHSP;
+0.000002 anti-K*0 a_00 eta PHSP;
+0.000001 anti-K*0 a_00 eta' PHSP;
+#--- 5-body K*-K*pi,rho-K-Kpi, K*-K-2pi, phi-3pi, 3pi-K-K ------------
+0.000001 K*+ anti-K*0 pi- PHSP;
+0.000001 K*- K*0 pi+ PHSP;
+
+0.000001 K*- K*+ pi0 PHSP;
+0.0000005 K*- K*+ eta PHSP;
+0.0000002 K*- K*+ eta' PHSP;
+0.000001 K*0 anti-K*0 pi0 PHSP;
+0.0000005 K*0 anti-K*0 eta PHSP;
+0.0000002 K*0 anti-K*0 eta' PHSP;
+
+0.000001 phi rho- pi+ PHSP;
+0.000001 phi rho+ pi- PHSP;
+0.000001 phi rho0 pi0 PHSP;
+0.0000005 phi rho0 eta PHSP;
+0.0000002 phi rho0 eta' PHSP;
+0.000001 phi omega pi0 PHSP;
+0.000001 phi f_0 pi0 PHSP;
+0.000001 phi pi+ pi- pi0 PHSP;
+0.0000005 phi pi+ pi- eta PHSP;
+0.0000002 phi pi+ pi- eta' PHSP;
+0.000001 phi pi0 pi0 pi0 PHSP;
+0.0000005 phi pi0 pi0 eta PHSP;
+0.0000002 phi pi0 pi0 eta' PHSP;
+0.000001 K0 K- rho0 pi+ PHSP;
+0.000001 K0 K- rho+ pi0 PHSP;
+0.0000005 K0 K- rho+ eta PHSP;
+0.0000002 K0 K- rho+ eta' PHSP;
+0.000001 K0 K- omega pi+ PHSP;
+0.000001 K0 K- f_0 pi+ PHSP;
+0.000001 K+ K- rho+ pi- PHSP;
+0.000001 K+ K- rho- pi+ PHSP;
+0.000001 K+ K- rho0 pi0 PHSP;
+0.0000005 K+ K- rho0 eta PHSP;
+0.0000002 K+ K- rho0 eta' PHSP;
+0.000001 K+ K- omega pi0 PHSP;
+0.0000005 K+ K- omega eta PHSP;
+0.0000002 K+ K- omega eta' PHSP;
+0.000001 K+ K- f_0 pi0 PHSP;
+0.000001 K0 anti-K0 rho+ pi- PHSP;
+0.000001 K0 anti-K0 rho- pi+ PHSP;
+0.000001 K0 anti-K0 rho0 pi0 PHSP;
+0.0000005 K0 anti-K0 rho0 eta PHSP;
+0.0000002 K0 anti-K0 rho0 eta' PHSP;
+0.000001 K0 anti-K0 omega pi0 PHSP;
+0.000001 K0 anti-K0 f_0 pi0 PHSP;
+0.000001 anti-K0 K+ rho0 pi- PHSP;
+0.000001 anti-K0 K+ rho- pi0 PHSP;
+0.0000005 anti-K0 K+ rho- eta PHSP;
+0.0000002 anti-K0 K+ rho- eta' PHSP;
+0.000001 anti-K0 K+ omega pi- PHSP;
+0.000001 anti-K0 K+ f_0 pi- PHSP;
+0.0000002 anti-K0 K+ pi- pi+ pi- PHSP;
+0.0000002 anti-K0 K+ pi- pi0 pi0 PHSP;
+0.0000001 anti-K0 K+ pi- pi0 eta PHSP;
+0.0000001 anti-K0 K+ pi- pi0 eta' PHSP;
+
+0.0000002 K+ K- pi+ pi- pi0 PHSP;
+0.0000001 K+ K- pi+ pi- eta PHSP;
+0.0000001 K+ K- pi+ pi- eta' PHSP;
+0.0000002 K+ K- pi0 pi0 pi0 PHSP;
+0.0000001 K+ K- pi0 pi0 eta PHSP;
+0.0000001 K+ K- pi0 pi0 eta' PHSP;
+0.0000002 K0 anti-K0 pi+ pi- pi0 PHSP;
+0.0000001 K0 anti-K0 pi+ pi- eta PHSP;
+0.0000001 K0 anti-K0 pi+ pi- eta' PHSP;
+0.0000002 K0 anti-K0 pi0 pi0 pi0 PHSP;
+0.0000001 K0 anti-K0 pi0 pi0 eta PHSP;
+0.0000001 K0 anti-K0 pi0 pi0 eta' PHSP;
+0.0000002 K0 K- pi+ pi+ pi- PHSP;
+0.0000002 K0 K- pi+ pi0 pi0 PHSP;
+0.0000001 K0 K- pi+ pi0 eta PHSP;
+0.0000001 K0 K- pi+ pi0 eta' PHSP;
+
+0.000001 K+ anti-K*0 pi- pi0 PHSP;
+0.0000005 K+ anti-K*0 pi- eta PHSP;
+0.0000002 K+ anti-K*0 pi- eta' PHSP;
+0.000001 K*+ anti-K0 pi- pi0 PHSP;
+0.0000005 K*+ anti-K0 pi- eta PHSP;
+0.0000002 K*+ anti-K0 pi- eta' PHSP;
+0.000001 K*- K+ pi+ pi- PHSP;
+0.000001 K*- K+ pi0 pi0 PHSP;
+0.0000005 K*- K+ pi0 eta PHSP;
+0.0000002 K*- K+ pi0 eta' PHSP;
+0.000001 K*+ K- pi+ pi- PHSP;
+0.000001 K*+ K- pi0 pi0 PHSP;
+0.0000005 K*+ K- pi0 eta PHSP;
+0.0000002 K*+ K- pi0 eta' PHSP;
+
+0.000001 K0 anti-K*0 pi+ pi- PHSP;
+0.000001 K0 anti-K*0 pi0 pi0 PHSP;
+0.0000005 K0 anti-K*0 pi0 eta PHSP;
+0.0000002 K0 anti-K*0 pi0 eta' PHSP;
+0.000001 K*0 anti-K0 pi+ pi- PHSP;
+0.000001 K*0 anti-K0 pi0 pi0 PHSP;
+0.0000005 K*0 anti-K0 pi0 eta PHSP;
+0.0000002 K*0 anti-K0 pi0 eta' PHSP;
+0.000001 K*0 K- pi+ pi0 PHSP;
+0.0000005 K*0 K- pi+ eta PHSP;
+0.0000002 K*0 K- pi+ eta' PHSP;
+0.000001 K*- K0 pi+ pi0 PHSP;
+0.0000005 K*- K0 pi+ eta PHSP;
+0.0000002 K*- K0 pi+ eta' PHSP;
+
+#--- 5-body phi-K*-pi, phi-K-2pi, K-K-K*-pi, 2pi-K-K-K --------------------
+0.000010 phi K*- pi+ PHSP;
+0.000010 phi anti-K*0 pi0 PHSP;
+0.000005 phi anti-K*0 eta PHSP;
+0.000002 phi anti-K*0 eta' PHSP;
+0.000010 phi K- rho+ PHSP;
+0.000010 phi anti-K0 rho0 PHSP;
+0.000010 phi anti-K0 omega PHSP;
+0.000010 phi anti-K0 f_0 PHSP;
+0.000010 phi anti-K0 pi+ pi- PHSP;
+0.000010 phi anti-K0 pi0 pi0 PHSP;
+0.000005 phi anti-K0 pi0 eta PHSP;
+0.000002 phi anti-K0 pi0 eta' PHSP;
+0.000010 phi K- pi+ pi0 PHSP;
+0.000005 phi K- pi+ eta PHSP;
+0.000002 phi K- pi+ eta' PHSP;
+0.000010 K+ K- K*- pi+ PHSP;
+0.000010 K- K*+ K- pi+ PHSP;
+
+0.000010 K- K0 anti-K*0 pi+ PHSP;
+0.000010 K- K*0 anti-K0 pi+ PHSP;
+0.000010 K0 K*- anti-K0 pi+ PHSP;
+0.000010 K- K+ K- rho+ PHSP;
+0.000010 K- K+ anti-K0 rho0 PHSP;
+0.000010 K- K+ anti-K0 omega PHSP;
+0.000010 K- K+ anti-K0 f_0 PHSP;
+0.000010 K+ K- K- pi+ pi0 PHSP;
+0.000005 K+ K- K- pi+ eta PHSP;
+0.000002 K+ K- K- pi+ eta' PHSP;
+0.000010 K+ K- anti-K0 pi+ pi- PHSP;
+0.000010 K+ K- anti-K0 pi0 pi0 PHSP;
+0.000005 K+ K- anti-K0 pi0 eta PHSP;
+0.000005 K+ K- anti-K0 pi0 eta' PHSP;
+0.000010 K0 anti-K0 K- pi+ pi0 PHSP;
+0.000005 K0 anti-K0 K- pi+ eta PHSP;
+0.000002 K0 anti-K0 K- pi+ eta' PHSP;
+0.000010 K0 anti-K0 anti-K0 pi+ pi- PHSP;
+0.000010 K0 anti-K0 anti-K0 pi0 pi0 PHSP;
+0.000005 K0 anti-K0 anti-K0 pi0 eta PHSP;
+0.000002 K0 anti-K0 anti-K0 pi0 eta' PHSP;
+0.000010 phi K_0*- pi+ PHSP;
+0.000010 phi anti-K_0*0 pi0 PHSP;
+0.000010 K+ K- K_0*- pi+ PHSP;
+0.000010 K+ K- anti-K_0*0 pi0 PHSP;
+0.000005 K+ K- anti-K_0*0 eta PHSP;
+0.000002 K+ K- anti-K_0*0 eta' PHSP;
+0.000010 K- K- K_0*+ pi+ PHSP;
+0.000010 K- anti-K_0*0 K0 pi+ PHSP;
+0.000010 K- K_0*0 anti-K0 pi+ PHSP;
+0.000010 K0 anti-K0 K_0*- pi+ PHSP;
+0.000010 K0 anti-K0 anti-K_0*0 pi0 PHSP;
+0.000005 K0 anti-K0 anti-K_0*0 eta PHSP;
+0.000002 K0 anti-K0 anti-K_0*0 eta' PHSP;
+0.000010 anti-K0 anti-K0 K_0*0 pi0 PHSP;
+0.000005 anti-K0 anti-K0 K_0*0 eta PHSP;
+0.000002 anti-K0 anti-K0 K_0*0 eta' PHSP;
+0.000002 phi K'_1- pi+ PHSP;
+0.000002 phi anti-K'_10 pi0 PHSP;
+0.000001 phi anti-K'_10 eta PHSP;
+0.000001 phi anti-K'_10 eta' PHSP;
+0.000002 K- K+ K'_1- pi+ PHSP;
+0.000002 K- K+ anti-K'_10 pi0 PHSP;
+0.000001 K- K+ anti-K'_10 eta PHSP;
+0.000001 K- K+ anti-K'_10 eta' PHSP;
+0.000002 K- K- K'_1+ pi+ PHSP;
+0.000002 K0 anti-K0 anti-K'_10 pi0 PHSP;
+0.000001 K0 anti-K0 anti-K'_10 eta PHSP;
+0.000001 K0 anti-K0 anti-K'_10 eta' PHSP;
+0.000002 anti-K0 anti-K0 K'_10 pi0 PHSP;
+0.000001 anti-K0 anti-K0 K'_10 eta PHSP;
+0.000001 anti-K0 anti-K0 K'_10 eta' PHSP;
+#--- 5-body phi-phi-K, phi-phi-pi, phi-3K, phi-K-K-pi, 5K, 4K-pi ------------
+0.0000041 phi phi anti-K0 PHSP;
+0.0000001 phi phi pi0 PHSP;
+0.000001 phi K+ K- anti-K0 PHSP;
+0.000001 phi K0 anti-K0 anti-K0 PHSP;
+0.0000001 phi K+ K- pi0 PHSP;
+0.0000001 phi K0 anti-K0 pi0 PHSP;
+0.0000001 phi anti-K0 K+ pi- PHSP;
+0.0000001 phi K0 K- pi+ PHSP;
+0.0000001 K+ K- K+ K- anti-K0 PHSP;
+0.0000001 K0 anti-K0 K+ K- anti-K0 PHSP;
+0.0000001 K+ K- K+ K- pi0 PHSP;
+0.0000001 K+ K- K0 anti-K0 pi0 PHSP;
+0.0000001 K+ K- K+ anti-K0 pi- PHSP;
+0.0000001 K+ K- K0 K- pi+ PHSP;
+0.0000001 K0 anti-K0 K0 anti-K0 pi0 PHSP;
+0.0000001 K0 anti-K0 anti-K0 K+ pi- PHSP;
+0.0000001 K0 anti-K0 K0 K- pi+ PHSP;
+#--- 6-body phi-phi-K*, phi-3Kpi, phi-K-K-2pi ------------
+0.000003 phi phi anti-K*0 PHSP;
+0.000001 phi K+ K- anti-K*0 PHSP;
+0.000001 phi K0 anti-K0 anti-K*0 PHSP;
+0.000001 phi anti-K0 K- K*+ PHSP;
+0.000001 phi anti-K0 anti-K0 K*0 PHSP;
+0.0000001 phi K+ K- K- pi+ PHSP;
+0.0000001 phi K+ K- anti-K0 pi0 PHSP;
+0.0000001 phi K0 anti-K0 K- pi+ PHSP;
+0.0000001 phi K0 anti-K0 anti-K0 pi0 PHSP;
+#--- 6-body a1a1 ------------
+0.000050 a_10 a_10 PHSP;
+0.000050 a_1+ a_1- PHSP;
+#
+# B -> cc= s
+#
+# Charmonium states - updated from Lange's recommendations (august 23,2000)
+# Based on new BABAR results I'm making the following changes (Lange, March 13, 2001
+# J/psi K0 was 10, now 9 x 10^-4
+# J/psi pi0 was 2.5, now 2.0 x 10^-4
+# J/psi Kstar was 15, now 13
+# Fix chic1 KS CP eigenstate
+# adding J/psi rho and omega - for lack of better thing will use the Kstar helicity amplitudes.
+# Psi2sKs 30 ->31
+# chic1 Kstar: 12 ->6
+
+
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi anti-K*0T SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000030 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+
+0.0012 J/psi K- pi+ PHSP;
+0.0001 J/psi anti-K0 pi0 PHSP;
+#rl0.0007 J/psi anti-K0 pi+ pi- PHSP;
+#rl0.00035 J/psi anti-K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K- pi+ pi0 PHSP;
+0.0013 J/psi anti-K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi anti-K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi anti-K_2*0 PHSP;
+0.000094 J/psi phi anti-K0 PHSP;
+#
+0.00031 psi(2S) K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00031 psi(2S) K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00012 psi(2S) K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00012 psi(2S) K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00048 psi(2S) anti-K*0T SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+
+0.0004 psi(2S) K- pi+ PHSP;
+0.0002 psi(2S) anti-K0 pi0 PHSP;
+0.0002 psi(2S) anti-K0 pi+ pi- PHSP;
+0.0001 psi(2S) anti-K0 pi0 pi0 PHSP;
+0.0001 psi(2S) K- pi+ pi0 PHSP;
+0.0004 psi(2S) anti-K_10 PHSP;
+
+#
+0.0005 eta_c K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0005 eta_c K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00027 K*S eta_c SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00027 K*L eta_c SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00108 anti-K*0T eta_c SVS;
+0.0002 eta_c K- pi+ PHSP;
+0.0001 eta_c anti-K0 pi0 PHSP;
+0.0002 eta_c anti-K0 pi+ pi- PHSP;
+0.0001 eta_c anti-K0 pi0 pi0 PHSP;
+0.0001 eta_c K- pi+ pi0 PHSP;
+#
+0.00024 eta_c(2S) K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00024 eta_c(2S) K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00011 K*S eta_c(2S) SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00011 K*L eta_c(2S) SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00044 anti-K*0T eta_c(2S) SVS;
+0.00008 eta_c(2S) K- pi+ PHSP;
+0.00005 eta_c(2S) anti-K0 pi0 PHSP;
+0.00008 eta_c(2S) anti-K0 pi+ pi- PHSP;
+0.00005 eta_c(2S) anti-K0 pi0 pi0 PHSP;
+0.00005 eta_c(2S) K- pi+ pi0 PHSP;
+#
+0.00005 chi_c0 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00005 chi_c0 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00005 K*S chi_c0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00005 K*L chi_c0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0002 anti-K*0T chi_c0 SVS;
+0.0002 chi_c0 K- pi+ PHSP;
+0.0001 chi_c0 anti-K0 pi0 PHSP;
+0.0002 chi_c0 anti-K0 pi+ pi- PHSP;
+0.0001 chi_c0 anti-K0 pi0 pi0 PHSP;
+0.0001 chi_c0 K- pi+ pi0 PHSP;
+#
+0.00020 chi_c1 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00020 chi_c1 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000053 K*S chi_c1 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000053 K*L chi_c1 SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000213 chi_c1 anti-K*0T SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0004 chi_c1 K- pi+ PHSP;
+0.0002 chi_c1 anti-K0 pi0 PHSP;
+0.0004 chi_c1 anti-K0 pi+ pi- PHSP;
+0.0002 chi_c1 anti-K0 pi0 pi0 PHSP;
+0.0002 chi_c1 K- pi+ pi0 PHSP;
+#
+0.00001 chi_c2 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00001 chi_c2 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000005 K*S chi_c2 PHSP;
+0.000005 K*L chi_c2 PHSP;
+0.00002 chi_c2 anti-K*0T PHSP;
+0.0002 chi_c2 K- pi+ PHSP;
+0.0001 chi_c2 anti-K0 pi0 PHSP;
+0.0002 chi_c2 anti-K0 pi+ pi- PHSP;
+0.0001 chi_c2 anti-K0 pi0 pi0 PHSP;
+0.0001 chi_c2 K- pi+ pi0 PHSP;
+#
+0.00024 psi(3770) K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00024 psi(3770) K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00008 psi(3770) K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00008 psi(3770) K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00032 psi(3770) anti-K*0T SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.00014 psi(3770) K- pi+ PHSP;
+0.00014 psi(3770) anti-K0 pi0 PHSP;
+0.00014 psi(3770) anti-K0 pi+ pi- PHSP;
+0.00007 psi(3770) anti-K0 pi0 pi0 PHSP;
+0.00007 psi(3770) K- pi+ pi0 PHSP;
+0.00029 psi(3770) anti-K_10 PHSP;
+#
+
+
+
+# b-> c (dc=)
+#
+0.00023 D- D+ SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+# See Ref [B1] for the next 3:
+0.000610 D*+ D- SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000610 D*- D+ SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00082 D*+ D*- SVV_CP beta dm 1 0.56 0.0 0.96 0.0 0.47 0.0;
+
+#
+# b -> c (sc=) --> D Ds X Sum = 10%
+#
+0.0065 D+ D_s- PHSP;
+0.0080 D*+ D_s- SVS;
+0.0074 D_s*- D+ SVS;
+0.0177 D*+ D_s*- SVV_HELAMP 0.4904 0.0 0.7204 0.0 0.4904 0.0;
+0.0006 D'_1+ D_s- SVS;
+0.0012 D'_1+ D_s*- SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0012 D_1+ D_s- SVS;
+0.0024 D_1+ D_s*- SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0042 D_2*+ D_s- STS;
+0.0040 D_2*+ D_s*- PHSP;
+#
+0.0018 D_s- D+ pi0 PHSP;
+0.0037 D_s- D0 pi+ PHSP;
+0.0018 D_s*- D+ pi0 PHSP;
+0.0037 D_s*- D0 pi+ PHSP;
+0.0030 D_s- D+ pi+ pi- PHSP;
+0.0022 D_s- D+ pi0 pi0 PHSP;
+0.0022 D_s- D0 pi+ pi0 PHSP;
+0.0030 D_s*- D+ pi+ pi- PHSP;
+0.0022 D_s*- D+ pi0 pi0 PHSP;
+0.0022 D_s*- D0 pi+ pi0 PHSP;
+#
+# b -> c (sc=) --> D D= K X Sum = 8%
+# Update: Ref. [B1]
+#
+# External W-emission amplitude
+0.0017 D+ anti-D0 K- PHSP;
+0.0046 D+ anti-D*0 K- PHSP;
+0.0031 D*+ anti-D0 K- PHSP;
+0.0118 D*+ anti-D*0 K- PHSP;
+# External+internal W-emission amplitude
+0.0015 D+ D- anti-K0 PHSP;
+0.0018 D*+ D- anti-K0 PHSP;
+0.0047 D+ D*- anti-K0 PHSP;
+0.0088 D*+ D*- anti-K0 PHSP;
+# Internal W-emission amplitude (color suppressed modes)
+0.0005 D0 anti-D0 anti-K0 PHSP;
+
+0.0005 D0 anti-D*0 anti-K0 PHSP;
+0.0005 D*0 anti-D0 anti-K0 PHSP;
+0.0005 D*0 anti-D*0 anti-K0 PHSP;
+
+0.0025 D+ anti-D0 K*- PHSP;
+0.0025 D*+ anti-D0 K*- PHSP;
+0.0025 D+ anti-D*0 K*- PHSP;
+0.0050 D*+ anti-D*0 K*- PHSP;
+#
+0.0025 D+ D- anti-K*0 PHSP;
+0.0025 D*+ D- anti-K*0 PHSP;
+0.0025 D+ D*- anti-K*0 PHSP;
+0.0050 D*+ D*- anti-K*0 PHSP;
+#
+0.0005 anti-D0 D0 anti-K*0 PHSP;
+0.0005 anti-D0 D*0 anti-K*0 PHSP;
+0.0005 anti-D*0 D0 anti-K*0 PHSP;
+0.0010 anti-D*0 D*0 anti-K*0 PHSP;
+#
+#
+# B -> D(*) X Exclusive modes
+#
+0.00276 D*+ pi- SVS;
+0.00268 D+ pi- PHSP;
+0.0075 rho- D+ SVS;
+#
+# D* rho HELAMP parameters taken from ICHEP 98-852.
+0.0068 rho- D*+ SVV_HELAMP 0.152 1.47 0.936 0 0.317 0.19;
+0.0005 D+ pi- pi0 PHSP;
+0.0082 D*+ pi- pi0 PHSP;
+0.0005 D0 pi+ pi- PHSP;
+0.00062 D*0 pi+ pi- PHSP;
+0.0005 D*0 pi0 pi0 PHSP;
+#
+# D a1 updated Ref. [B1]
+0.00834 a_1- D+ SVS;
+0.0011 D+ rho0 pi- PHSP;
+0.0011 D+ rho- pi0 PHSP;
+0.0039 D+ pi+ pi- pi- PHSP;
+0.0010 D+ pi0 pi- pi0 PHSP;
+0.0010 D0 pi+ pi- pi0 PHSP;
+0.0001 D0 pi0 pi0 pi0 PHSP;
+#
+# SVV_HELAMP for D* a1 taken from factorization. Recommandation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/168.html:
+# updated Ref. [B1]
+# October 26, 2004 Lange update
+0.0120 D*+ a_1- SVV_HELAMP 0.200 0.0 0.866 0.0 0.458 0.0;
+#
+0.0025 D*+ rho0 pi- PHSP;
+0.0010 D*+ rho- pi0 PHSP;
+0.0000 D*+ pi+ pi- pi- PHSP;
+0.0010 D*+ pi0 pi- pi0 PHSP;
+0.0010 D*0 pi+ pi- pi0 PHSP;
+0.0001 D*0 pi0 pi0 pi0 PHSP;
+#
+# B->D** pi and D** rho, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html
+#further updates October 26, 2004 - Lange
+# October 26, 2004 Lange update
+#
+0.0006 D_1+ pi- SVS;
+0.0001 D'_1+ pi- SVS;
+0.0002 D_0*+ pi- PHSP;
+0.0009 D_2*+ pi- STS;
+0.0004 D_1+ rho- PHSP;
+0.0013 D'_1+ rho- PHSP;
+0.0022 D_2*+ rho- PHSP;
+#
+#
+# B->DK, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html:
+# update: Ref. [B1]:
+#
+0.00021 D*+ K- SVS;
+0.00020 D+ K- PHSP;
+0.00033 D*+ K*- SVV_HELAMP 0.228 0.0 0.932 0.0 0.283 0.0;
+0.00045 K*- D+ SVS;
+#more DK modes - October 26, 2004 -Lange
+0.00004 D*0 K0 SVS;
+0.00004 D0 K0 PHSP;
+0.000042 anti-K*0 D0 SVS;
+0.00001 anti-K*0 anti-D0 SVS;
+0.00004 D*0 anti-K*0 SVV_HELAMP 1. 0. 1. 0. 1. 0.;
+0.00001 anti-D*0 anti-K*0 SVV_HELAMP 1. 0. 1. 0. 1. 0.;
+#
+#
+# Color-suppressed modes. Br's are expectations from
+# Phys. Rev. D57 (1998), 5363-5369, except for the eta' modes, which are set
+# equal to the eta modes. SVV_HELAMP parameters are the same as in D*0 rho-,
+# with phases set to 0. Recommendation http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/169.html:
+# update: See Ref [B1]:
+# further update October 26, 2004 Lange
+#
+0.000261 D0 pi0 PHSP;
+0.00017 D*0 pi0 SVS;
+#
+0.00029 rho0 D0 SVS;
+0.00029 D*0 rho0 SVV_HELAMP 0.228 0.0 0.932 0.0 0.283 0.0;
+#
+0.000202 D0 eta PHSP;
+0.00018 D*0 eta SVS;
+#
+0.000125 D0 eta' PHSP;
+0.000123 D*0 eta' SVS;
+#
+0.000259 omega D0 SVS;
+0.00027 D*0 omega SVV_HELAMP 0.228 0.0 0.932 0.0 0.283 0.0;
+#
+#
+#October 26, 2004 - Lange
+0.00097 D_s0*- D+ PHSP;
+0.00097 D*+ D_s0*- SVS;
+0.0015 D_s1- D+ SVS;
+0.0093 D*+ D_s1- SVV_HELAMP 0.4904 0. 0.7204 0. 0.4904 0.;
+#
+ 0.0066 cd_0 anti-ud_0 PYTHIA 22;
+ 0.0134 cd_1 anti-ud_1 PYTHIA 22;
+ 0.004 cd_0 anti-ud_0 PYTHIA 23;
+ 0.008 cd_1 anti-ud_1 PYTHIA 23;
+ 0.001 cs_0 anti-ud_0 PYTHIA 23;
+ 0.002 cs_1 anti-ud_1 PYTHIA 23;
+ 0.005 cs_0 anti-cd_0 PYTHIA 22;
+ 0.010 cs_1 anti-cd_1 PYTHIA 22;
+ 0.001 cs_0 anti-cd_0 PYTHIA 23;
+ 0.002 cs_1 anti-cd_1 PYTHIA 23;
+
+0.25885 anti-u d c anti-d PYTHIA 48;
+0.04600 anti-u d c anti-d PYTHIA 13;
+0.02100 anti-u s c anti-d PYTHIA 13;
+0.01800 anti-u c d anti-d PYTHIA 48;
+0.00090 anti-u c s anti-d PYTHIA 48;
+#lange - try to crank up the psi production....
+0.07400 anti-c s c anti-d PYTHIA 13;
+0.00600 anti-c d c anti-d PYTHIA 13;
+0.00300 anti-u d u anti-d PYTHIA 48;
+0.00400 anti-c s u anti-d PYTHIA 48;
+# JGS 11/5/02 This and similar a few lines above have been divided by two
+# to solve a double-counting problem for this channel
+0.00205 anti-u u d anti-d PYTHIA 48;
+0.00007 anti-d d d anti-d PYTHIA 48;
+0.00009 anti-s s d anti-d PYTHIA 48;
+0.00220 anti-u u s anti-d PYTHIA 48;
+0.00180 anti-d d s anti-d PYTHIA 48;
+0.00150 anti-s s s anti-d PYTHIA 48;
+0.00500 s g anti-d PYTHIA 33;
+Enddecay
+#
+#
+
+Decay B0
+# b -> c semileptonic
+# =10.4% total non-D and D* = 3.4% (changing to 2.7)
+0.0529 D*- e+ nu_e PHOTOS HQET 0.77 1.33 0.92;
+0.0208 D- e+ nu_e PHOTOS ISGW2;
+0.0052 D_1- e+ nu_e PHOTOS ISGW2;
+0.0045 D_0*- e+ nu_e PHOTOS ISGW2;
+0.0083 D'_1- e+ nu_e PHOTOS ISGW2;
+0.0023 D_2*- e+ nu_e PHOTOS ISGW2;
+0.0003 D*- pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0065 anti-D*0 pi- e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0010 D- pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0032 anti-D0 pi- e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0529 D*- mu+ nu_mu PHOTOS HQET 0.77 1.33 0.92;
+0.0208 D- mu+ nu_mu PHOTOS ISGW2;
+0.0052 D_1- mu+ nu_mu PHOTOS ISGW2;
+0.0045 D_0*- mu+ nu_mu PHOTOS ISGW2;
+0.0083 D'_1- mu+ nu_mu PHOTOS ISGW2;
+0.0023 D_2*- mu+ nu_mu PHOTOS ISGW2;
+0.0003 D*- pi0 mu+ nu_mu PHOTOS GOITY_ROBERTS;
+0.0065 anti-D*0 pi- mu+ nu_mu PHOTOS GOITY_ROBERTS;
+0.0010 D- pi0 mu+ nu_mu PHOTOS GOITY_ROBERTS;
+0.0032 anti-D0 pi- mu+ nu_mu PHOTOS GOITY_ROBERTS;
+#
+# b -> c tau nu
+#
+0.0202 D*- tau+ nu_tau ISGW2; # taken from Belle- Phys. Rev. Lett. 99, 191807 (2007)
+0.0088 D- tau+ nu_tau ISGW2;
+0.0013 D_1- tau+ nu_tau ISGW2;
+0.0013 D_0*- tau+ nu_tau ISGW2;
+0.0020 D'_1- tau+ nu_tau ISGW2;
+0.0020 D_2*- tau+ nu_tau ISGW2;
+#
+# b -> u l nu
+#
+0.000136 pi- e+ nu_e PHOTOS ISGW2;
+0.000220 rho- e+ nu_e PHOTOS ISGW2;
+0.000000 D(2S)- e+ nu_e PHOTOS ISGW2;
+0.000000 D*(2S)- e+ nu_e PHOTOS ISGW2;
+0.001892 Xu- e+ nu_e PHOTOS VubHybridB0;
+#
+0.000136 pi- mu+ nu_mu PHOTOS ISGW2;
+0.000220 rho- mu+ nu_mu PHOTOS ISGW2;
+0.000000 D(2S)- mu+ nu_mu PHOTOS ISGW2;
+0.000000 D*(2S)- mu+ nu_mu PHOTOS ISGW2;
+0.001892 Xu- mu+ nu_mu PHOTOS VubHybridB0;
+#
+0.000060 pi- tau+ nu_tau ISGW2;
+0.000083 rho- tau+ nu_tau ISGW2;
+0.000090 a_1- tau+ nu_tau ISGW2;
+0.000008 b_1- tau+ nu_tau ISGW2;
+0.000008 a_0- tau+ nu_tau ISGW2;
+0.000008 a_2- tau+ nu_tau ISGW2;
+0.000000 rho(2S)- tau+ nu_tau ISGW2;
+0.000000 D(2S)- tau+ nu_tau ISGW2;
+0.000000 D*(2S)- tau+ nu_tau ISGW2;
+#
+
+#
+# b->u hadronic
+# Ref. [B1]:
+# Lange Nov14,2004 (flip D_s K --opposite of D_s pi)
+0.000015 D_s+ pi- PHSP;
+0.000028 D_s- K+ PHSP;
+0.000029 D_s*+ pi- SVS;
+0.000022 D_s*- K+ SVS;
+#
+0.000016 rho- D_s+ SVS;
+0.000016 K*+ D_s- SVS;
+0.000016 D_s*+ rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000016 D_s*- K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+
+
+#
+# b -> s gamma
+#
+0.0000401 K*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000135 K_10 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000065 K'_10 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000128 K'*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000166 K_2*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000017 K''*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+0.0003139 Xsd gamma BTOXSGAMMA 2;
+#
+0.000000134 K0 e+ e- PHOTOS BTOSLLBALL;
+0.000001045 K*0 e+ e- PHOTOS BTOSLLBALL;
+0.000004994 Xsd e+ e- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.000000574 K0 mu+ mu- PHOTOS BTOSLLBALL;
+0.000001100 K*0 mu+ mu- PHOTOS BTOSLLBALL;
+0.000002506 Xsd mu+ mu- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.000000130 K0 tau+ tau- PHOTOS BTOSLLBALL;
+0.000000190 K*0 tau+ tau- PHOTOS BTOSLLBALL;
+0.000000200 Xsd tau+ tau- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+#
+#------------------------------------------------------------------------------
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
+#
+# B0 -> CP eigenstates (some exclusive b -> u) sum=0.00036
+#
+0.0000049 pi+ pi- SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.0000015 pi0 pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 eta SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.0000015 pi0 eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 pi0 f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+# pi0 rho0 is with the 3-body modes
+0.000001 pi0 omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 pi0 b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta eta SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta' eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta' f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 eta' rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 eta' b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 a_00 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 a_00 f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 a_00 rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 a_00 b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.0000003 f_0 f_0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+0.000001 f_0 rho0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 f_0 omega SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 f_0 a_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000001 f_0 b_10 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+
+# Penguin dominated modes are sin2beta, not sin2alpha
+
+0.0000043 phi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0000043 phi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000001 eta K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000001 eta K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000032 eta' K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000032 eta' K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0000023 omega K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0000023 omega K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+#don't allow jetset to simulate the same decay but to a K0 or anti-K0
+#Lange 1/30/2003
+0.0 phi K0 PHSP;
+0.0 phi anti-K0 PHSP;
+0.0 eta K0 PHSP;
+0.0 eta anti-K0 PHSP;
+0.0 eta' K0 PHSP;
+0.0 eta' anti-K0 PHSP;
+0.0 omega K0 PHSP;
+0.0 omega anti-K0 PHSP;
+# phipi0 has no simple Pengiun or tree so who knows - ditto phieta/eta'?
+
+0.00000005 phi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00000003 phi eta SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0; #upper bound in PDG 6*10^-7
+0.00000003 phi eta' SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0; #bound 10^-6
+#
+0.0000163 K*0 eta SVS;
+0.0000038 K*0 eta' SVS;
+
+0.000001 K*0 omega SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 phi omega SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 omega omega SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 omega rho0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+#
+#2-body modes from Jim Olsen
+0.0000188 K+ pi- PHSP;
+0.0000001 K+ K- PHSP;# upper bound 3.7 10^-7
+0.0000006 K_S0 K_S0 PHSP;
+0.0000000 K_S0 K_L0 PHSP;
+0.0000006 K_L0 K_L0 PHSP;
+0.0000115 K0 pi0 PHSP;
+# Put in with 0 BR to keep PYTHIA from generating it
+0.0000000 K0 anti-K0 PHSP;
+#
+# 3-body John Back (jback@slac.stanford.edu) - Oct 15, 2002
+# JGS intersperses modes with pi0->eta,eta'
+# B0 modes
+# Model generates rho(770), rho(1450) and rho(1700) resonances
+# with interference (uses CKM angle alpha)
+
+0.000024 pi- pi+ pi0 BTO3PI_CP dm alpha;
+# Put in with 0 BR to keep PYTHIA from generating these (see BTO3PI_CP above)
+0.000000 rho0 pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.000000 rho+ pi- SVS;
+0.000000 rho- pi+ SVS;
+0.000000 rho(2S)+ pi- SVS;
+0.000000 rho(2S)- pi+ SVS;
+0.000000 rho(3S)+ pi- SVS;
+0.000000 rho(3S)- pi+ SVS;
+#
+# rho0 3-body modes
+0.0000022 rho0 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.0000022 rho0 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+#
+# rho- 3-body modes
+0.0000085 rho- K+ SVS;
+#
+# rho(1450) 3-body modes
+0.0000005 rho(2S)0 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma -1.0 minusGamma;
+0.0000005 rho(2S)0 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 gamma 1.0 minusGamma;
+#
+#
+# f0,a0(980) 3-body modes
+0.0000055 f_0 K0 PHSP;
+0.000001 a_00 K0 PHSP;
+0.000001 a_0- K+ PHSP;
+0.000001 a_0+ pi- PHSP;
+0.000003 a_0- pi+ PHSP;
+#
+# K*0(892) 3-body modes
+0.0000017 K*0 pi0 SVS;
+0.000003 K*0 anti-K0 SVS;
+#
+# K*0(1430) 3-body modes
+0.000001 K_0*0 pi0 PHSP;
+0.000003 K_0*0 anti-K0 PHSP;
+#
+# K*0(1680) 3-body modes
+0.000001 K''*0 pi0 SVS;
+0.000001 K''*0 anti-K0 SVS;
+
+#
+# K*+(892) 3-body modes
+0.0000085 K*+ pi- SVS;
+0.0000002 K*+ K- SVS;
+#
+# K*+(1430) 3-body modes
+0.000033 K_0*+ pi- PHSP; #rescalled by 2/3 the Belle result PhysRevD 75 012006
+0.0000002 K_0*+ K- PHSP;
+#
+# K*0(1680) 3-body modes
+0.000001 K''*+ pi- SVS;
+0.0000001 K''*+ K- SVS;
+#
+#
+# Non-resonant 3-body left-overs
+# Most modes are set at 1e-6
+#
+# pi+pi-pi0: high mass + f0(400-1200) = (1+1)e-6
+#0402270.000002 pi+ pi- pi0 PHSP;
+0.000017 pi+ pi- eta PHSP;
+0.000001 pi+ pi- eta' PHSP;
+#
+# pi+ pi- K0:
+0.000013 pi+ pi- K0 PHSP;
+
+#
+# K+ pi- pi0
+0.000002 K+ pi- pi0 PHSP;
+0.000020 K+ pi- eta PHSP;
+0.000001 K+ pi- eta' PHSP;
+#
+# pi+ K- K0.
+# Both B0 and B0bar can decay to these => 0.5e-6 each
+0.0000005 pi+ K- K0 PHSP;
+0.0000005 pi- K+ anti-K0 PHSP;
+
+# K+ K- K0: total-phiK = 24.7-4.2
+0.0000205 K+ K- K0 PHSP;
+#
+# K+ K- pi0
+0.000001 K+ K- pi0 PHSP;
+0.000001 K+ K- eta PHSP;
+0.000001 K+ K- eta' PHSP;
+#
+# pi0 K0 anti-K0
+0.000002 K0 anti-K0 pi0 PHSP;
+0.000001 K0 anti-K0 eta PHSP;
+0.000001 K0 anti-K0 eta' PHSP;
+#
+# pi0 pi0 K0
+0.000002 K0 pi0 pi0 PHSP;
+0.000001 K0 pi0 eta PHSP;
+0.000001 K0 pi0 eta' PHSP;
+0.000001 K0 eta eta PHSP;
+0.000001 K0 eta eta' PHSP;
+0.000001 K0 eta' eta' PHSP;
+#
+# K0 anti-K0 K0: 8*BF(KsKsKs)~=48 (8 is a guess)
+0.000048 K0 anti-K0 K0 PHSP;
+#
+# pi0 pi0 pi0
+0.000001 pi0 pi0 pi0 PHSP;
+0.000001 pi0 pi0 eta PHSP;
+0.000001 pi0 pi0 eta' PHSP;
+0.000001 pi0 eta eta PHSP;
+0.000001 pi0 eta eta' PHSP;
+#
+#^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#---------------------------------------------------------------------------
+#
+#4-body modes from Andrei Gritsan
+#--- 4-body rho-rho, rho-pi-pi, pi-pi-pi-pi --------------------------
+0.0000011 rho0 rho0 SVV_CP alpha dm 1 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000025 rho+ rho- SVV_CP alpha dm 1 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000005 rho0 pi+ pi- PHSP;
+0.000003 omega pi+ pi- PHSP;
+0.000001 rho0 pi0 pi0 PHSP;
+0.000001 omega pi0 pi0 PHSP;
+0.0000005 rho0 pi0 eta PHSP;
+0.0000002 rho0 eta eta PHSP;
+0.0000002 rho0 pi0 eta' PHSP;
+0.0000001 rho0 eta eta' PHSP;
+0.0000005 omega pi0 eta PHSP;
+0.0000002 omega eta eta PHSP;
+0.0000002 omega pi0 eta' PHSP;
+0.0000001 omega eta eta' PHSP;
+0.000010 rho+ pi- pi0 PHSP;
+0.000005 rho+ pi- eta PHSP;
+0.000010 rho- pi+ pi0 PHSP;
+0.000005 rho- pi+ eta PHSP;
+0.000010 pi+ pi- pi+ pi- PHSP;
+0.000010 pi+ pi- pi0 pi0 PHSP;
+0.000005 pi+ pi- eta pi0 PHSP;
+0.000002 pi+ pi- eta eta PHSP;
+0.000002 pi+ pi- eta' pi0 PHSP;
+0.000001 pi+ pi- eta' eta PHSP;
+0.0000165 a_1+ pi- SVS;
+0.0000165 a_1- pi+ SVS;
+0.000000 b_1+ pi- SVS;
+0.000010 b_1- pi+ SVS;
+0.000002 rho- a_0+ SVS;
+0.000010 rho+ a_0- SVS;
+0.000001 f_0 pi+ pi- PHSP;
+0.000001 f_0 pi0 pi0 PHSP;
+0.000001 a_0+ pi- pi0 PHSP;
+0.000001 a_00 pi0 pi0 PHSP;
+0.000001 a_0- pi+ pi0 PHSP;
+#--- 4-body rho-K*, rho-pi-K, K*-pi-pi, pi-pi-pi-K -------------------
+0.0000056 rho0 K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 rho- K*+ SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 pi- pi+ K*0 PHSP;
+0.000010 pi- pi0 K*+ PHSP;
+0.000005 pi- eta K*+ PHSP;
+0.000002 pi- eta' K*+ PHSP;
+0.000010 rho- K+ pi0 PHSP;
+0.000005 rho- K+ eta PHSP;
+0.000002 rho- K+ eta' PHSP;
+0.000010 rho- K0 pi+ PHSP;
+0.000010 rho+ K0 pi- PHSP;
+0.000005 rho0 K0 pi0 PHSP;
+0.000002 rho0 K0 eta PHSP;
+0.000001 rho0 K0 eta' PHSP;
+0.000010 rho0 K+ pi- PHSP;
+0.000005 omega K0 pi0 PHSP;
+0.000002 omega K0 eta PHSP;
+0.000001 omega K0 eta' PHSP;
+0.000005 omega K+ pi- PHSP;
+0.000010 pi+ pi0 pi- K0 PHSP;
+0.000005 pi+ eta pi- K0 PHSP;
+0.000010 pi0 pi0 pi0 K0 PHSP;
+0.000005 pi0 pi0 eta K0 PHSP;
+0.000002 pi0 eta eta K0 PHSP;
+0.000002 pi0 pi0 eta' K0 PHSP;
+0.000001 pi0 eta eta' K0 PHSP;
+0.000010 pi+ pi- pi- K+ PHSP;
+0.000010 pi0 pi0 pi- K+ PHSP;
+0.000005 pi0 eta pi- K+ PHSP;
+0.000002 eta eta pi- K+ PHSP;
+0.000002 pi0 eta' pi- K+ PHSP;
+0.000001 eta eta' pi- K+ PHSP;
+0.000010 rho0 K_0*0 PHSP;
+0.000020 rho- K_0*+ PHSP;
+0.000010 pi- pi+ K_0*0 PHSP;
+0.000010 pi0 pi0 K_0*0 PHSP;
+0.000010 pi- pi0 K_0*+ PHSP;
+0.000002 K*0 f_0 SVS;
+0.000010 a_10 K0 SVS;
+0.000010 a_1- K+ SVS;
+0.0000066 b_10 K0 SVS;
+0.000010 b_1- K+ SVS;
+0.000005 K*0 a_00 SVS;
+0.000005 K*+ a_0- SVS;
+#--- 4-body K*-K*, rho-K-K, K*-K-pi, phi-pi-pi, pi-pi-K-K ------------
+0.00000105 K*0 anti-K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 K*+ K*- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi rho0 SVV_CP alpha dm 1 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi pi- pi+ PHSP;
+0.000001 K+ K- rho0 PHSP;
+0.000001 K0 anti-K0 rho0 PHSP;
+0.000001 K+ K- omega PHSP;
+0.000001 K0 anti-K0 omega PHSP;
+
+0.000001 K- K0 rho+ PHSP;
+0.000001 K+ anti-K0 rho- PHSP;
+0.000001 K+ K- pi- pi+ PHSP;
+0.000001 K+ K- pi0 pi0 PHSP;
+0.0000005 K+ K- pi0 eta PHSP;
+0.0000002 K+ K- eta eta PHSP;
+0.0000002 K+ K- pi0 eta' PHSP;
+0.0000001 K+ K- eta eta' PHSP;
+0.000001 K0 anti-K0 pi- pi+ PHSP;
+0.000001 K0 anti-K0 pi0 pi0 PHSP;
+0.0000005 K0 anti-K0 pi0 eta PHSP;
+0.0000002 K0 anti-K0 eta eta PHSP;
+0.0000002 K0 anti-K0 pi0 eta' PHSP;
+0.0000001 K0 anti-K0 eta eta' PHSP;
+0.000001 K*+ K- pi0 PHSP;
+0.000001 K*- K+ pi0 PHSP;
+0.000001 K*0 anti-K0 pi0 PHSP;
+0.000001 K0 anti-K*0 pi0 PHSP;
+0.000001 K+ anti-K*0 pi- PHSP;
+0.000001 K*+ anti-K0 pi- PHSP;
+0.000001 K- K*0 pi+ PHSP;
+0.000001 K*- K0 pi+ PHSP;
+#--- 4-body phi-K*, phi-K-pi, K-K-K*, pi-K-K-K -----------------------
+0.0000095 phi K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 phi K+ pi- PHSP;
+0.000010 phi K0 pi0 PHSP;
+0.000007 phi K0 eta PHSP;
+0.000010 K- K+ K*0 PHSP;
+0.000010 K*- K+ K0 PHSP;
+0.000010 K- K*+ K0 PHSP;
+
+0.000010 K+ K- K+ pi- PHSP;
+0.000010 K+ K- K0 pi0 PHSP;
+0.000005 K+ K- K0 eta PHSP;
+0.000010 K0 anti-K0 K0 pi0 PHSP;
+0.000005 K0 anti-K0 K0 eta PHSP;
+0.0000046 phi K_0*0 PHSP;
+0.000010 K- K+ K_0*0 PHSP;
+0.000010 K_0*- K+ K0 PHSP;
+0.000010 K- K_0*+ K0 PHSP;
+
+0.000002 phi K'_10 PHSP;
+0.000002 K- K+ K'_10 PHSP;
+#--- 4-body phi-phi, phi-K-K, K-K-K-K --------------------------------
+0.0000001 phi phi SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi K+ K- PHSP;
+0.0000001 phi K0 anti-K0 PHSP;
+0.0000001 K+ K- K+ K- PHSP;
+0.0000001 K0 anti-K0 K+ K- PHSP;
+0.0000001 K0 anti-K0 K0 anti-K0 PHSP;
+#5-body modes from Jim Smith - 1/30/05
+#--- 5-body rho-rho-pi, rho-pi-pi-pi, pi-pi-pi-pi-pi -------------------
+0.000010 rho0 rho0 pi0 PHSP;
+0.000005 rho0 rho0 eta PHSP;
+0.000002 rho0 rho0 eta' PHSP;
+0.000010 omega rho0 pi0 PHSP;
+0.000005 omega rho0 eta PHSP;
+0.000002 omega rho0 eta' PHSP;
+0.000010 rho+ rho- pi0 PHSP;
+0.000005 rho+ rho- eta PHSP;
+0.000002 rho+ rho- eta' PHSP;
+0.000010 rho0 rho+ pi- PHSP;
+0.0000066 rho0 rho- pi+ PHSP;
+0.000010 omega rho+ pi- PHSP;
+0.0000066 omega rho- pi+ PHSP;
+0.000002 rho0 pi+ pi- pi0 PHSP;
+0.000001 rho0 pi+ pi- eta PHSP;
+0.000001 rho0 pi+ pi- eta' PHSP;
+0.000002 rho0 pi0 pi0 pi0 PHSP;
+0.000001 rho0 pi0 eta pi0 PHSP;
+0.000001 rho0 pi0 eta' pi0 PHSP;
+0.000002 omega pi+ pi- pi0 PHSP;
+0.000001 omega pi+ pi- eta PHSP;
+0.000001 omega pi+ pi- eta' PHSP;
+0.000002 omega pi0 pi0 pi0 PHSP;
+0.000001 omega pi0 eta pi0 PHSP;
+0.000001 omega pi0 eta' pi0 PHSP;
+0.000002 rho+ pi- pi+ pi- PHSP;
+0.000002 rho+ pi- pi0 pi0 PHSP;
+0.000001 rho+ pi- pi0 eta PHSP;
+0.000001 rho+ pi- pi0 eta' PHSP;
+0.000002 rho- pi+ pi+ pi- PHSP;
+0.000002 rho- pi+ pi0 pi0 PHSP;
+0.000001 rho- pi+ pi0 eta PHSP;
+0.000001 rho- pi+ pi0 eta' PHSP;
+0.000001 pi+ pi- pi+ pi- pi0 PHSP;
+0.0000005 pi+ pi- pi+ pi- eta PHSP;
+0.0000002 pi+ pi- pi+ pi- eta' PHSP;
+0.000001 pi+ pi- pi0 pi0 pi0 PHSP;
+0.0000005 pi+ pi- pi0 pi0 eta PHSP;
+0.0000002 pi+ pi- pi0 pi0 eta' PHSP;
+0.0000005 pi0 pi0 pi0 pi0 pi0 PHSP;
+0.0000002 pi0 pi0 pi0 pi0 eta PHSP;
+0.0000001 pi0 pi0 pi0 pi0 eta' PHSP;
+0.000010 a_1+ rho- PHSP;
+0.000010 a_1- rho+ PHSP;
+0.000010 a_10 rho0 PHSP;
+0.000010 a_10 omega PHSP;
+0.000010 a_1+ pi- pi0 PHSP;
+0.000005 a_1+ pi- eta PHSP;
+0.000002 a_1+ pi- eta' PHSP;
+0.000010 a_10 pi+ pi- PHSP;
+0.000010 a_10 pi0 pi0 PHSP;
+0.000005 a_10 pi0 eta PHSP;
+0.000002 a_10 pi0 eta' PHSP;
+0.000010 a_1- pi+ pi0 PHSP;
+0.000005 a_1- pi+ eta PHSP;
+0.000002 a_1- pi+ eta' PHSP;
+0.000010 rho+ f_0 pi- PHSP;
+0.000010 rho- f_0 pi+ PHSP;
+0.000010 rho0 f_0 pi0 PHSP;
+0.000005 rho0 f_0 eta PHSP;
+0.000002 rho0 f_0 eta' PHSP;
+0.000010 omega f_0 pi0 PHSP;
+0.000010 rho+ a_00 pi- PHSP;
+0.000010 rho+ a_0- pi0 PHSP;
+0.000005 rho+ a_0- eta PHSP;
+0.000002 rho+ a_0- eta' PHSP;
+0.000010 rho0 a_0+ pi- PHSP;
+0.000010 rho0 a_0- pi+ PHSP;
+0.000010 rho0 a_00 pi0 PHSP;
+0.000005 rho0 a_00 eta PHSP;
+0.000002 rho0 a_00 eta' PHSP;
+0.000010 rho- a_00 pi+ PHSP;
+0.000010 rho- a_0+ pi0 PHSP;
+0.000005 rho- a_0+ eta PHSP;
+0.000002 rho- a_0+ eta' PHSP;
+0.000002 f_0 pi+ pi- pi0 PHSP;
+0.000001 f_0 pi+ pi- eta PHSP;
+0.000001 f_0 pi+ pi- eta' PHSP;
+0.000002 f_0 pi0 pi0 pi0 PHSP;
+0.000001 f_0 pi0 pi0 eta PHSP;
+0.000001 f_0 pi0 pi0 eta' PHSP;
+0.000001 a_00 pi+ pi- pi0 PHSP;
+0.000001 a_00 pi0 pi0 pi0 PHSP;
+0.000001 a_0+ pi- pi+ pi- PHSP;
+0.000001 a_0+ pi- pi0 pi0 PHSP;
+0.000001 a_0- pi+ pi+ pi- PHSP;
+0.000001 a_0- pi+ pi0 pi0 PHSP;
+#--- 5-body rho-K*pi, rho-2pi-K, K*-3pi, 4pi-K -------------------
+0.000010 rho0 K*+ pi- PHSP;
+0.000010 rho- K*+ pi0 PHSP;
+0.000005 rho- K*+ eta PHSP;
+0.000002 rho- K*+ eta' PHSP;
+0.000010 rho0 K*0 pi0 PHSP;
+0.000005 rho0 K*0 eta PHSP;
+0.000002 rho0 K*0 eta' PHSP;
+0.000010 rho- K*0 pi+ PHSP;
+0.000010 rho+ K*0 pi- PHSP;
+0.000010 omega K*+ pi- PHSP;
+0.000010 omega K*0 pi0 PHSP;
+0.000005 omega K*0 eta PHSP;
+0.000002 omega K*0 eta' PHSP;
+0.000010 pi+ pi- K*+ pi- PHSP;
+0.000010 pi- pi0 K*+ pi0 PHSP;
+0.000005 pi- pi0 K*+ eta PHSP;
+0.000002 pi- pi0 K*+ eta' PHSP;
+0.000010 pi+ pi- K*0 pi0 PHSP;
+0.000005 pi+ pi- K*0 eta PHSP;
+0.000002 pi+ pi- K*0 eta' PHSP;
+0.000010 pi0 pi0 K*0 pi0 PHSP;
+0.000005 pi0 pi0 K*0 eta PHSP;
+0.000002 pi0 pi0 K*0 eta' PHSP;
+0.000010 rho+ K+ pi- pi- PHSP;
+0.000010 rho0 K+ pi- pi0 PHSP;
+0.000005 rho0 K+ pi- eta PHSP;
+0.000002 rho0 K+ pi- eta' PHSP;
+0.000010 rho- K+ pi+ pi- PHSP;
+0.000010 rho- K+ pi0 pi0 PHSP;
+0.000005 rho- K+ pi0 eta PHSP;
+0.000002 rho- K+ pi0 eta' PHSP;
+0.000010 rho0 K0 pi+ pi- PHSP;
+0.000010 rho0 K0 pi0 pi0 PHSP;
+0.000005 rho0 K0 pi0 eta PHSP;
+0.000002 rho0 K0 pi0 eta' PHSP;
+0.000010 rho+ K0 pi- pi0 PHSP;
+0.000005 rho+ K0 pi- eta PHSP;
+0.000002 rho+ K0 pi- eta' PHSP;
+0.000010 rho- K0 pi+ pi0 PHSP;
+0.000005 rho- K0 pi+ eta PHSP;
+0.000002 rho- K0 pi+ eta' PHSP;
+0.000010 omega K+ pi- pi0 PHSP;
+0.000005 omega K+ pi- eta PHSP;
+0.000002 omega K+ pi- eta' PHSP;
+0.000010 omega K0 pi+ pi- PHSP;
+0.000010 omega K0 pi0 pi0 PHSP;
+0.000005 omega K0 pi0 eta PHSP;
+0.000002 omega K0 pi0 eta' PHSP;
+0.000002 pi+ pi- pi- K+ pi0 PHSP;
+0.000001 pi+ pi- pi- K+ eta PHSP;
+0.000001 pi+ pi- pi- K+ eta' PHSP;
+0.000002 pi0 pi0 pi- K+ pi0 PHSP;
+0.000001 pi0 pi0 pi- K+ eta PHSP;
+0.000001 pi0 pi0 pi- K+ eta' PHSP;
+0.000002 pi+ pi- pi+ K0 pi- PHSP;
+0.000002 pi+ pi- pi0 K0 pi0 PHSP;
+0.000001 pi+ pi- pi0 K0 eta PHSP;
+0.000001 pi+ pi- pi0 K0 eta' PHSP;
+0.000002 pi0 pi0 pi0 K0 pi0 PHSP;
+0.000001 pi0 pi0 pi0 K0 eta PHSP;
+0.000001 pi0 pi0 pi0 K0 eta' PHSP;
+0.000010 rho+ K_0*0 pi- PHSP;
+0.000010 rho0 K_0*0 pi0 PHSP;
+0.000005 rho0 K_0*0 eta PHSP;
+0.000002 rho0 K_0*0 eta' PHSP;
+0.000010 rho- K_0*0 pi+ PHSP;
+0.000010 rho- K_0*+ pi0 PHSP;
+0.000005 rho- K_0*+ eta PHSP;
+0.000002 rho- K_0*+ eta' PHSP;
+0.000010 rho0 K_0*+ pi- PHSP;
+0.000010 pi+ pi- K_0*+ pi- PHSP;
+0.000010 pi- pi0 K_0*+ pi0 PHSP;
+0.000005 pi- pi0 K_0*+ eta PHSP;
+0.000002 pi- pi0 K_0*+ eta' PHSP;
+0.000010 pi+ pi- K_0*0 pi0 PHSP;
+0.000005 pi+ pi- K_0*0 eta PHSP;
+0.000002 pi+ pi- K_0*0 eta' PHSP;
+0.000010 pi0 pi0 K_0*0 pi0 PHSP;
+0.000005 pi0 pi0 K_0*0 eta PHSP;
+0.000005 pi0 pi0 K_0*0 eta' PHSP;
+0.000010 K*+ f_0 pi- PHSP;
+0.000010 K*0 f_0 pi0 PHSP;
+0.000005 K*0 f_0 eta PHSP;
+0.000002 K*0 f_0 eta' PHSP;
+0.000010 a_1+ K0 pi- PHSP;
+0.000020 a_10 K*0 PHSP;
+0.000010 a_10 K+ pi- PHSP;
+0.000010 a_10 K0 pi0 PHSP;
+0.000020 a_1- K*+ PHSP;
+0.000010 a_1- K+ pi0 PHSP;
+0.000010 a_1- K0 pi+ PHSP;
+0.000005 K*+ a_00 pi- PHSP;
+0.000005 K*+ a_0- pi0 PHSP;
+0.000002 K*+ a_0- eta PHSP;
+0.000001 K*+ a_0- eta' PHSP;
+0.000005 K*0 a_0- pi+ PHSP;
+0.000005 K*0 a_0+ pi- PHSP;
+0.000005 K*0 a_00 pi0 PHSP;
+0.000002 K*0 a_00 eta PHSP;
+0.000001 K*0 a_00 eta' PHSP;
+#--- 5-body K*-K*pi,rho-K-Kpi, K*-K-2pi, phi-3pi, 3pi-K-K ------------
+0.000001 K*- K*0 pi+ PHSP;
+0.000001 K*+ anti-K*0 pi- PHSP;
+0.000001 K*- K*+ pi0 PHSP;
+0.0000005 K*- K*+ eta PHSP;
+0.0000002 K*- K*+ eta' PHSP;
+0.000001 K*0 anti-K*0 pi0 PHSP;
+0.0000005 K*0 anti-K*0 eta PHSP;
+0.0000002 K*0 anti-K*0 eta' PHSP;
+0.000001 phi rho+ pi- PHSP;
+0.000001 phi rho- pi+ PHSP;
+0.000001 phi rho0 pi0 PHSP;
+0.0000005 phi rho0 eta PHSP;
+0.0000002 phi rho0 eta' PHSP;
+0.000001 phi omega pi0 PHSP;
+0.000001 phi f_0 pi0 PHSP;
+0.000001 phi pi+ pi- pi0 PHSP;
+0.0000005 phi pi+ pi- eta PHSP;
+0.0000002 phi pi+ pi- eta' PHSP;
+0.000001 phi pi0 pi0 pi0 PHSP;
+0.0000005 phi pi0 pi0 eta PHSP;
+0.0000002 phi pi0 pi0 eta' PHSP;
+0.000001 anti-K0 K+ rho0 pi- PHSP;
+0.000001 anti-K0 K+ rho- pi0 PHSP;
+0.0000005 anti-K0 K+ rho- eta PHSP;
+0.0000002 anti-K0 K+ rho- eta' PHSP;
+0.000001 anti-K0 K+ omega pi- PHSP;
+0.000001 anti-K0 K+ f_0 pi- PHSP;
+
+
+0.000001 K+ K- rho- pi+ PHSP;
+0.000001 K+ K- rho+ pi- PHSP;
+0.000001 K+ K- rho0 pi0 PHSP;
+0.0000005 K+ K- rho0 eta PHSP;
+0.0000002 K+ K- rho0 eta' PHSP;
+0.000001 K+ K- omega pi0 PHSP;
+0.0000005 K+ K- omega eta PHSP;
+0.0000002 K+ K- omega eta' PHSP;
+0.000001 K+ K- f_0 pi0 PHSP;
+0.000001 K0 anti-K0 rho- pi+ PHSP;
+0.000001 K0 anti-K0 rho+ pi- PHSP;
+0.000001 K0 anti-K0 rho0 pi0 PHSP;
+0.0000005 K0 anti-K0 rho0 eta PHSP;
+0.0000002 K0 anti-K0 rho0 eta' PHSP;
+0.000001 K0 anti-K0 omega pi0 PHSP;
+0.000001 K0 anti-K0 f_0 pi0 PHSP;
+0.000001 K0 K- rho0 pi+ PHSP;
+0.000001 K0 K- rho+ pi0 PHSP;
+0.0000005 K0 K- rho+ eta PHSP;
+0.0000002 K0 K- rho+ eta' PHSP;
+0.000001 K0 K- omega pi+ PHSP;
+0.000001 K0 K- f_0 pi+ PHSP;
+0.0000002 K0 K- pi+ pi+ pi- PHSP;
+0.0000002 K0 K- pi+ pi0 pi0 PHSP;
+0.0000001 K0 K- pi+ pi0 eta PHSP;
+0.0000001 K0 K- pi+ pi0 eta' PHSP;
+0.0000002 K+ K- pi+ pi- pi0 PHSP;
+0.0000001 K+ K- pi+ pi- eta PHSP;
+0.0000001 K+ K- pi+ pi- eta' PHSP;
+0.0000002 K+ K- pi0 pi0 pi0 PHSP;
+0.0000001 K+ K- pi0 pi0 eta PHSP;
+0.0000001 K+ K- pi0 pi0 eta' PHSP;
+0.0000002 K0 anti-K0 pi+ pi- pi0 PHSP;
+0.0000001 K0 anti-K0 pi+ pi- eta PHSP;
+0.0000001 K0 anti-K0 pi+ pi- eta' PHSP;
+0.0000002 K0 anti-K0 pi0 pi0 pi0 PHSP;
+0.0000001 K0 anti-K0 pi0 pi0 eta PHSP;
+0.0000001 K0 anti-K0 pi0 pi0 eta' PHSP;
+0.0000002 anti-K0 K+ pi- pi+ pi- PHSP;
+0.0000002 anti-K0 K+ pi- pi0 pi0 PHSP;
+0.0000001 anti-K0 K+ pi- pi0 eta PHSP;
+0.0000001 anti-K0 K+ pi- pi0 eta' PHSP;
+0.000001 K*0 K- pi+ pi0 PHSP;
+0.0000005 K*0 K- pi+ eta PHSP;
+0.0000002 K*0 K- pi+ eta' PHSP;
+0.000001 K*- K0 pi+ pi0 PHSP;
+0.0000005 K*- K0 pi+ eta PHSP;
+0.0000002 K*- K0 pi+ eta' PHSP;
+0.000001 K*+ K- pi+ pi- PHSP;
+0.000001 K*+ K- pi0 pi0 PHSP;
+0.0000005 K*+ K- pi0 eta PHSP;
+0.0000002 K*+ K- pi0 eta' PHSP;
+0.000001 K*- K+ pi+ pi- PHSP;
+0.000001 K*- K+ pi0 pi0 PHSP;
+0.0000005 K*- K+ pi0 eta PHSP;
+0.0000002 K*- K+ pi0 eta' PHSP;
+0.000001 K*0 anti-K0 pi+ pi- PHSP;
+0.000001 K*0 anti-K0 pi0 pi0 PHSP;
+0.0000005 K*0 anti-K0 pi0 eta PHSP;
+0.0000002 K*0 anti-K0 pi0 eta' PHSP;
+0.000001 K0 anti-K*0 pi+ pi- PHSP;
+0.000001 K0 anti-K*0 pi0 pi0 PHSP;
+0.0000005 K0 anti-K*0 pi0 eta PHSP;
+0.0000002 K0 anti-K*0 pi0 eta' PHSP;
+0.000001 K+ anti-K*0 pi- pi0 PHSP;
+0.0000005 K+ anti-K*0 pi- eta PHSP;
+0.0000002 K+ anti-K*0 pi- eta' PHSP;
+0.000001 K*+ anti-K0 pi- pi0 PHSP;
+0.0000005 K*+ anti-K0 pi- eta PHSP;
+0.0000002 K*+ anti-K0 pi- eta' PHSP;
+#--- 5-body phi-K*-pi, phi-K-2pi, K-K-K*-pi, 2pi-K-K-K --------------------
+0.000010 phi K*+ pi- PHSP;
+0.000010 phi K*0 pi0 PHSP;
+0.000005 phi K*0 eta PHSP;
+0.000002 phi K*0 eta' PHSP;
+0.000010 phi K+ rho- PHSP;
+0.000010 phi K0 rho0 PHSP;
+0.000010 phi K0 omega PHSP;
+0.000010 phi K0 f_0 PHSP;
+0.000010 phi K0 pi+ pi- PHSP;
+0.000010 phi K0 pi0 pi0 PHSP;
+0.000005 phi K0 pi0 eta PHSP;
+0.000002 phi K0 pi0 eta' PHSP;
+0.000010 phi K+ pi- pi0 PHSP;
+0.000005 phi K+ pi- eta PHSP;
+0.000002 phi K+ pi- eta' PHSP;
+0.000010 K- K+ K*+ pi- PHSP;
+0.000010 K+ K*- K+ pi- PHSP;
+0.000010 K+ K*0 anti-K0 pi- PHSP;
+0.000010 K+ K0 anti-K*0 pi- PHSP;
+0.000010 K0 K*+ anti-K0 pi- PHSP;
+0.000010 K- K+ K+ rho- PHSP;
+0.000010 K- K+ K0 rho0 PHSP;
+0.000010 K- K+ K0 omega PHSP;
+0.000010 K- K+ K0 f_0 PHSP;
+0.000010 K+ K- K+ pi- pi0 PHSP;
+0.000005 K+ K- K+ pi- eta PHSP;
+0.000002 K+ K- K+ pi- eta' PHSP;
+0.000010 K+ K- K0 pi+ pi- PHSP;
+0.000010 K+ K- K0 pi0 pi0 PHSP;
+0.000005 K+ K- K0 pi0 eta PHSP;
+0.000005 K+ K- K0 pi0 eta' PHSP;
+0.000010 K0 anti-K0 K+ pi- pi0 PHSP;
+0.000005 K0 anti-K0 K+ pi- eta PHSP;
+0.000002 K0 anti-K0 K+ pi- eta' PHSP;
+0.000010 K0 anti-K0 K0 pi+ pi- PHSP;
+0.000010 K0 anti-K0 K0 pi0 pi0 PHSP;
+0.000005 K0 anti-K0 K0 pi0 eta PHSP;
+0.000002 K0 anti-K0 K0 pi0 eta' PHSP;
+0.000010 phi K_0*+ pi- PHSP;
+0.000010 phi K_0*0 pi0 PHSP;
+0.000010 K+ K- K_0*+ pi- PHSP;
+0.000010 K+ K- K_0*0 pi0 PHSP;
+0.000005 K+ K- K_0*0 eta PHSP;
+0.000002 K+ K- K_0*0 eta' PHSP;
+0.000010 K+ K+ K_0*- pi- PHSP;
+
+0.000010 K+ K_0*0 anti-K0 pi- PHSP;
+0.000010 K+ anti-K_0*0 K0 pi- PHSP;
+0.000010 K0 anti-K0 K_0*+ pi- PHSP;
+0.000010 K0 anti-K0 K_0*0 pi0 PHSP;
+0.000005 K0 anti-K0 K_0*0 eta PHSP;
+0.000002 K0 anti-K0 K_0*0 eta' PHSP;
+0.000010 K0 K0 anti-K_0*0 pi0 PHSP;
+0.000005 K0 K0 anti-K_0*0 eta PHSP;
+0.000002 K0 K0 anti-K_0*0 eta' PHSP;
+0.000002 phi K'_1+ pi- PHSP;
+0.000002 phi K'_10 pi0 PHSP;
+0.000001 phi K'_10 eta PHSP;
+0.000001 phi K'_10 eta' PHSP;
+0.000002 K- K+ K'_1+ pi- PHSP;
+0.000002 K- K+ K'_10 pi0 PHSP;
+0.000001 K- K+ K'_10 eta PHSP;
+0.000001 K- K+ K'_10 eta' PHSP;
+0.000002 K+ K+ K'_1- pi- PHSP;
+0.000002 K0 anti-K0 K'_10 pi0 PHSP;
+0.000001 K0 anti-K0 K'_10 eta PHSP;
+0.000001 K0 anti-K0 K'_10 eta' PHSP;
+0.000002 K0 K0 anti-K'_10 pi0 PHSP;
+0.000001 K0 K0 anti-K'_10 eta PHSP;
+0.000001 K0 K0 anti-K'_10 eta' PHSP;
+#--- 5-body phi-phi-K, phi-phi-pi, phi-3K, phi-K-K-pi, 5K, 4K-pi ------------
+0.0000041 phi phi K0 PHSP;
+0.0000001 phi phi pi0 PHSP;
+0.000001 phi K+ K- K0 PHSP;
+0.000001 phi K0 anti-K0 K0 PHSP;
+0.0000001 phi K+ K- pi0 PHSP;
+0.0000001 phi K0 anti-K0 pi0 PHSP;
+0.0000001 phi K0 K- pi+ PHSP;
+0.0000001 phi anti-K0 K+ pi- PHSP;
+
+0.0000001 K+ K- K+ K- K0 PHSP;
+0.0000001 K0 anti-K0 K+ K- K0 PHSP;
+0.0000001 K+ K- K+ K- pi0 PHSP;
+0.0000001 K+ K- K0 anti-K0 pi0 PHSP;
+0.0000001 K+ K- K0 K- pi+ PHSP;
+0.0000001 K+ K- K+ anti-K0 pi- PHSP;
+
+0.0000001 K0 anti-K0 K0 anti-K0 pi0 PHSP;
+0.0000001 K0 anti-K0 K0 K- pi+ PHSP;
+0.0000001 K0 anti-K0 anti-K0 K+ pi- PHSP;
+
+#--- 6-body phi-phi-K*, phi-3Kpi, phi-K-K-2pi ------------ not in PDG
+0.000003 phi phi K*0 PHSP;
+0.000001 phi K+ K- K*0 PHSP;
+0.000001 phi K0 anti-K0 K*0 PHSP;
+0.000001 phi K0 K+ K*- PHSP;
+0.000001 phi K0 K0 anti-K*0 PHSP;
+0.0000001 phi K+ K- K+ pi- PHSP;
+0.0000001 phi K+ K- K0 pi0 PHSP;
+0.0000001 phi K0 anti-K0 K+ pi- PHSP;
+0.0000001 phi K0 anti-K0 K0 pi0 PHSP;
+#--- 6-body a1a1 ------------
+0.000050 a_10 a_10 PHSP;
+0.000050 a_1+ a_1- PHSP;
+#
+# B -> cc= s
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi K*0T SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00003 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0012 J/psi K+ pi- PHSP;
+0.0001 J/psi K0 pi0 PHSP;
+#rl0.0007 J/psi K0 pi- pi+ PHSP;
+#rl0.00035 J/psi K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K+ pi- pi0 PHSP;
+0.0013 J/psi K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*0 PHSP;
+0.000094 J/psi phi K0 PHSP;
+#
+0.00031 psi(2S) K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00031 psi(2S) K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00012 psi(2S) K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00012 psi(2S) K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00048 psi(2S) K*0T SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+
+0.0004 psi(2S) K+ pi- PHSP;
+0.0002 psi(2S) K0 pi0 PHSP;
+0.0002 psi(2S) K0 pi- pi+ PHSP;
+0.0001 psi(2S) K0 pi0 pi0 PHSP;
+0.0001 psi(2S) K+ pi- pi0 PHSP;
+0.0004 psi(2S) K_10 PHSP;
+#
+0.0005 eta_c K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0005 eta_c K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00027 K*S eta_c SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00027 K*L eta_c SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00108 K*0T eta_c SVS;
+0.0002 eta_c K+ pi- PHSP;
+0.0001 eta_c K0 pi0 PHSP;
+0.0002 eta_c K0 pi- pi+ PHSP;
+0.0001 eta_c K0 pi0 pi0 PHSP;
+0.0001 eta_c K+ pi- pi0 PHSP;
+#
+0.00024 eta_c(2S) K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00024 eta_c(2S) K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00011 K*S eta_c(2S) SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00011 K*L eta_c(2S) SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00044 K*0T eta_c(2S) SVS;
+0.00008 eta_c(2S) K+ pi- PHSP;
+0.00005 eta_c(2S) K0 pi0 PHSP;
+0.00008 eta_c(2S) K0 pi- pi+ PHSP;
+0.00005 eta_c(2S) K0 pi0 pi0 PHSP;
+0.00005 eta_c(2S) K+ pi- pi0 PHSP;
+#
+0.00005 chi_c0 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00005 chi_c0 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00005 K*S chi_c0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00005 K*L chi_c0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.0002 K*0T chi_c0 SVS;
+0.0002 chi_c0 K+ pi- PHSP;
+0.0001 chi_c0 K0 pi0 PHSP;
+0.0002 chi_c0 K0 pi- pi+ PHSP;
+0.0001 chi_c0 K0 pi0 pi0 PHSP;
+0.0001 chi_c0 K+ pi- pi0 PHSP;
+#
+0.00020 chi_c1 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00020 chi_c1 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000053 K*S chi_c1 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000053 K*L chi_c1 SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000213 chi_c1 K*0T SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0004 chi_c1 K+ pi- PHSP;
+0.0002 chi_c1 K0 pi0 PHSP;
+0.0004 chi_c1 K0 pi- pi+ PHSP;
+0.0002 chi_c1 K0 pi0 pi0 PHSP;
+0.0002 chi_c1 K+ pi- pi0 PHSP;
+#
+0.00001 chi_c2 K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00001 chi_c2 K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000005 K*S chi_c2 PHSP;
+0.000005 K*L chi_c2 PHSP;
+0.00002 chi_c2 K*0T PHSP;
+0.0002 chi_c2 K+ pi- PHSP;
+0.0001 chi_c2 K0 pi0 PHSP;
+0.0002 chi_c2 K0 pi- pi+ PHSP;
+0.0001 chi_c2 K0 pi0 pi0 PHSP;
+0.0001 chi_c2 K+ pi- pi0 PHSP;
+
+0.00024 psi(3770) K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.00024 psi(3770) K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00008 psi(3770) K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00008 psi(3770) K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00032 psi(3770) K*0T SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.00014 psi(3770) K+ pi- PHSP;
+0.00014 psi(3770) K0 pi0 PHSP;
+0.00014 psi(3770) K0 pi- pi+ PHSP;
+0.00007 psi(3770) K0 pi0 pi0 PHSP;
+0.00007 psi(3770) K+ pi- pi0 PHSP;
+0.00029 psi(3770) K_10 PHSP;
+#
+
+
+
+#
+# b-> c (dc=)
+#
+0.00023 D- D+ SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+# See Ref [B1] for the next 3:
+0.000610 D*- D+ SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00061 D*+ D- SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.00082 D*- D*+ SVV_CP beta dm 1 0.56 0.0 0.96 0.0 0.47 0.0;
+#
+# b -> c (sc=) --> D Ds X Sum = 10%
+#
+0.0065 D- D_s+ PHSP;
+0.0080 D*- D_s+ SVS;
+0.0074 D_s*+ D- SVS;
+0.0177 D_s*+ D*- SVV_HELAMP 0.4904 0.0 0.7204 0.0 0.4904 0.0;
+0.0006 D'_1- D_s+ SVS;
+0.0012 D'_1- D_s*+ SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0012 D_1- D_s+ SVS;
+0.0024 D_1- D_s*+ SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0042 D_2*- D_s+ STS;
+0.0040 D_2*- D_s*+ PHSP;
+#
+0.0018 D_s+ D- pi0 PHSP;
+0.0037 D_s+ anti-D0 pi- PHSP;
+0.0018 D_s*+ D- pi0 PHSP;
+0.0037 D_s*+ anti-D0 pi- PHSP;
+0.0030 D_s+ D- pi- pi+ PHSP;
+0.0022 D_s+ D- pi0 pi0 PHSP;
+0.0022 D_s+ anti-D0 pi- pi0 PHSP;
+0.0030 D_s*+ D- pi- pi+ PHSP;
+0.0022 D_s*+ D- pi0 pi0 PHSP;
+0.0022 D_s*+ anti-D0 pi- pi0 PHSP;
+#
+# b -> c (sc=) --> D D= K X Sum = 8%
+# Update: Ref. [B1]
+# October 26, 2004 Lange -per breco awg
+# External W-emission amplitude
+0.0017 D- D0 K+ PHSP;
+0.0046 D- D*0 K+ PHSP;
+0.0031 D*- D0 K+ PHSP;
+0.0118 D*- D*0 K+ PHSP;
+# External+internal W-emission amplitude
+0.0015 D- D+ K0 PHSP;
+0.0018 D*- D+ K0 PHSP;
+0.0047 D- D*+ K0 PHSP;
+0.0088 D*- D*+ K0 PHSP;
+# Internal W-emission amplitude (color suppressed modes)
+0.0005 D0 anti-D0 K0 PHSP;
+0.0005 D*0 anti-D0 K0 PHSP;
+0.0005 D0 anti-D*0 K0 PHSP;
+0.0005 D*0 anti-D*0 K0 PHSP;
+##########
+# K* modes
+###########
+0.0025 D- D0 K*+ PHSP;
+0.0025 D*- D0 K*+ PHSP;
+0.0025 D- D*0 K*+ PHSP;
+0.0050 D*- D*0 K*+ PHSP;
+#
+0.0025 D- D+ K*0 PHSP;
+0.0025 D*- D+ K*0 PHSP;
+0.0025 D- D*+ K*0 PHSP;
+0.0050 D*- D*+ K*0 PHSP;
+#
+0.0005 D0 anti-D0 K*0 PHSP;
+0.0005 D0 anti-D*0 K*0 PHSP;
+0.0005 D*0 anti-D0 K*0 PHSP;
+0.0010 D*0 anti-D*0 K*0 PHSP;
+#
+# B -> D(*) X Exclusive modes
+#
+0.00276 D*- pi+ SVS;
+0.00268 D- pi+ PHSP;
+0.0075 rho+ D- SVS;
+#
+# D* rho HELAMP parameters taken from ICHEP 98-852.
+0.0068 rho+ D*- SVV_HELAMP 0.317 0.19 0.936 0.0 0.152 1.47;
+0.0005 D- pi+ pi0 PHSP;
+0.0082 D*- pi+ pi0 PHSP;
+0.0005 anti-D0 pi- pi+ PHSP;
+0.00062 anti-D*0 pi- pi+ PHSP;
+0.0005 anti-D*0 pi0 pi0 PHSP;
+#
+# D a1 updated Ref. [B1]
+0.00834 a_1+ D- SVS;
+0.0011 D- rho0 pi+ PHSP;
+0.0011 D- rho+ pi0 PHSP;
+0.0039 D- pi- pi+ pi+ PHSP;
+0.0010 D- pi0 pi+ pi0 PHSP;
+0.0010 anti-D0 pi- pi+ pi0 PHSP;
+0.0001 anti-D0 pi0 pi0 pi0 PHSP;
+#
+# SVV_HELAMP for D* a1 taken from factorization. Recommandation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/168.html:
+# updated Ref. [B1]
+# October 26, 2004 Lange update
+#
+0.0120 D*- a_1+ SVV_HELAMP 0.458 0.0 0.866 0.0 0.458 0.0;
+#
+0.0025 D*- rho0 pi+ PHSP;
+0.0010 D*- rho+ pi0 PHSP;
+0.0000 D*- pi- pi+ pi+ PHSP;
+0.0010 D*- pi0 pi+ pi0 PHSP;
+0.0010 anti-D*0 pi- pi+ pi0 PHSP;
+0.0001 anti-D*0 pi0 pi0 pi0 PHSP;
+#
+# B->D** pi and D** rho, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html
+#
+0.0006 D_1- pi+ SVS;
+0.0001 D'_1- pi+ SVS;
+0.0002 D_0*- pi+ PHSP;
+0.0009 D_2*- pi+ STS;
+0.0004 D_1- rho+ PHSP;
+0.0013 D'_1- rho+ PHSP;
+0.0022 D_2*- rho+ PHSP;
+#
+#
+# B->DK, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html:
+# update: Ref. [B1]:
+#
+0.00021 D*- K+ SVS;
+0.00020 D- K+ PHSP;
+0.00033 D*- K*+ SVV_HELAMP 0.283 0.0 0.932 0.0 0.228 0.0;
+0.00045 K*+ D- SVS;
+#more DK modes - October 26, 2004 -Lange
+0.00004 anti-D*0 anti-K0 SVS;
+0.00004 anti-D0 anti-K0 PHSP;
+0.000042 K*0 anti-D0 SVS;
+0.00001 K*0 D0 SVS;
+0.00004 anti-D*0 K*0 SVV_HELAMP 1. 0. 1. 0. 1. 0.;
+0.00001 D*0 K*0 SVV_HELAMP 1. 0. 1. 0. 1. 0.;
+#
+#
+# Color-suppressed modes. Br's are expectations from
+# Phys. Rev. D57 (1998), 5363-5369, except for the eta' modes, which are set
+# equal to the eta modes. SVV_HELAMP parameters are the same as in D*0 rho-,
+# with phases set to 0. Recommendation http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/169.html:
+# update: See Ref [B1]:
+# further update October 26, 2004 Lange
+#
+0.000261 anti-D0 pi0 PHSP;
+0.00017 anti-D*0 pi0 SVS;
+#
+0.00029 rho0 anti-D0 SVS;
+0.00029 anti-D*0 rho0 SVV_HELAMP 0.283 0.0 0.932 0.0 0.228 0.0;
+#
+0.000202 anti-D0 eta PHSP;
+0.00018 anti-D*0 eta SVS;
+#
+0.000125 anti-D0 eta' PHSP;
+0.000123 anti-D*0 eta' SVS;
+#
+0.000259 omega anti-D0 SVS;
+0.00027 anti-D*0 omega SVV_HELAMP 0.283 0.0 0.932 0.0 0.228 0.0;
+#
+ #October 26, 2004 - Lange
+0.00097 D_s0*+ D- PHSP;
+0.00097 D*- D_s0*+ SVS;
+0.0015 D_s1+ D- SVS;
+0.0093 D*- D_s1+ SVV_HELAMP 0.4904 0. 0.7204 0. 0.4904 0.;
+#
+0.0066 anti-cd_0 ud_0 PYTHIA 22;
+0.0134 anti-cd_1 ud_1 PYTHIA 22;
+0.004 anti-cd_0 ud_0 PYTHIA 23;
+0.008 anti-cd_1 ud_1 PYTHIA 23;
+0.001 anti-cs_0 ud_0 PYTHIA 23;
+0.002 anti-cs_1 ud_1 PYTHIA 23;
+0.005 anti-cs_0 cd_0 PYTHIA 22;
+0.010 anti-cs_1 cd_1 PYTHIA 22;
+0.001 anti-cs_0 cd_0 PYTHIA 23;
+0.002 anti-cs_1 cd_1 PYTHIA 23;
+#
+#
+0.25885 u anti-d anti-c d PYTHIA 48;
+0.04600 u anti-d anti-c d PYTHIA 13;
+0.02100 u anti-s anti-c d PYTHIA 13;
+0.01800 u anti-c anti-d d PYTHIA 48;
+0.00090 u anti-c anti-s d PYTHIA 48;
+#lange - try to crank up the psi production....
+0.07400 c anti-s anti-c d PYTHIA 13;
+0.00600 c anti-d anti-c d PYTHIA 13;
+0.00300 u anti-d anti-u d PYTHIA 48;
+0.00400 c anti-s anti-u d PYTHIA 48;
+# JGS 11/5/02 This and similar a few lines above have been divided by two
+# to solve a double-counting problem for this channel
+0.00205 u anti-u anti-d d PYTHIA 48;
+0.00007 d anti-d anti-d d PYTHIA 48;
+0.00009 s anti-s anti-d d PYTHIA 48;
+0.00220 u anti-u anti-s d PYTHIA 48;
+0.00180 d anti-d anti-s d PYTHIA 48;
+0.00150 s anti-s anti-s d PYTHIA 48;
+0.00500 anti-s g d PYTHIA 33;
+Enddecay
+#
+#
+#
+Decay B-
+#
+# b -> c semileptonic
+#
+0.0650 D*0 e- anti-nu_e PHOTOS HQET 0.77 1.33 0.92;
+0.0215 D0 e- anti-nu_e PHOTOS ISGW2;
+0.0056 D_10 e- anti-nu_e PHOTOS ISGW2;
+0.0049 D_0*0 e- anti-nu_e PHOTOS ISGW2;
+0.009 D'_10 e- anti-nu_e PHOTOS ISGW2;
+0.003 D_2*0 e- anti-nu_e PHOTOS ISGW2;
+0.0063 D*+ pi- e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0003 D*0 pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0052 D+ pi- e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0010 D0 pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+#
+0.0650 D*0 mu- anti-nu_mu PHOTOS HQET 0.77 1.33 0.92;
+0.0215 D0 mu- anti-nu_mu PHOTOS ISGW2;
+0.0056 D_10 mu- anti-nu_mu PHOTOS ISGW2;
+0.0049 D_0*0 mu- anti-nu_mu PHOTOS ISGW2;
+0.009 D'_10 mu- anti-nu_mu PHOTOS ISGW2;
+0.003 D_2*0 mu- anti-nu_mu PHOTOS ISGW2;
+0.0063 D*+ pi- mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+0.0003 D*0 pi0 mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+0.0052 D+ pi- mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+0.0010 D0 pi0 mu- anti-nu_mu PHOTOS GOITY_ROBERTS;
+#
+# b -> c tau nu
+#
+0.0208 D*0 tau- anti-nu_tau ISGW2;# equel to B0-> D*- tau+ nu
+0.0088 D0 tau- anti-nu_tau ISGW2;
+0.0013 D_10 tau- anti-nu_tau ISGW2;
+0.0013 D_0*0 tau- anti-nu_tau ISGW2;
+0.0020 D'_10 tau- anti-nu_tau ISGW2;
+0.0020 D_2*0 tau- anti-nu_tau ISGW2;
+#
+# b -> u l nu
+#
+# NOTE: Do NOT CHANGE any BFs without using the corresponding set of
+# hybrid weights (and vice versa).
+
+0.000077 pi0 e- anti-nu_e PHOTOS ISGW2;
+0.000080 eta e- anti-nu_e PHOTOS ISGW2;
+0.000128 rho0 e- anti-nu_e PHOTOS ISGW2;
+0.000130 omega e- anti-nu_e PHOTOS ISGW2;
+0.000084 eta' e- anti-nu_e PHOTOS ISGW2;
+0.000000 D(2S)0 e- anti-nu_e PHOTOS ISGW2;
+0.000000 D*(2S)0 e- anti-nu_e PHOTOS ISGW2;
+0.001948 Xu0 e- anti-nu_e PHOTOS VubHybridBp;
+#
+0.000077 pi0 mu- anti-nu_mu PHOTOS ISGW2;
+0.000080 eta mu- anti-nu_mu PHOTOS ISGW2;
+0.000128 rho0 mu- anti-nu_mu PHOTOS ISGW2;
+0.000130 omega mu- anti-nu_mu PHOTOS ISGW2;
+0.000084 eta' mu- anti-nu_mu PHOTOS ISGW2;
+0.000000 D(2S)0 mu- anti-nu_mu PHOTOS ISGW2;
+0.000000 D*(2S)0 mu- anti-nu_mu PHOTOS ISGW2;
+0.001948 Xu0 mu- anti-nu_mu PHOTOS VubHybridBp;
+#
+0.000030 pi0 tau- anti-nu_tau ISGW2;
+0.000012 eta tau- anti-nu_tau ISGW2;
+0.000042 rho0 tau- anti-nu_tau ISGW2;
+0.000042 omega tau- anti-nu_tau ISGW2;
+0.000018 eta' tau- anti-nu_tau ISGW2;
+0.000046 a_10 tau- anti-nu_tau ISGW2;
+0.000027 b_10 tau- anti-nu_tau ISGW2;
+0.000004 a_00 tau- anti-nu_tau ISGW2;
+0.000002 f_0 tau- anti-nu_tau ISGW2;
+0.000002 f'_0 tau- anti-nu_tau ISGW2;
+0.000023 f_1 tau- anti-nu_tau ISGW2;
+0.000023 f'_1 tau- anti-nu_tau ISGW2;
+0.000013 h_1 tau- anti-nu_tau ISGW2;
+0.000013 h'_1 tau- anti-nu_tau ISGW2;
+0.000020 f_2 tau- anti-nu_tau ISGW2;
+0.000020 f'_2 tau- anti-nu_tau ISGW2;
+0.000000 D(2S)0 tau- anti-nu_tau ISGW2;
+0.000000 D*(2S)0 tau- anti-nu_tau ISGW2;
+#
+# b -> l nu
+#
+0.000180 tau- anti-nu_tau SLN;
+0.000000 mu- anti-nu_mu PHOTOS SLN;
+0.000000 e- anti-nu_e PHOTOS SLN;
+#
+#
+#
+# b->u hadronic
+# Ref. [B1]:
+#
+0.000016 D_s- pi0 PHSP;
+0.000020 D_s*- pi0 SVS;
+#
+0.000028 rho0 D_s- SVS;
+0.000028 D_s*- rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+
+#
+# b-> s gamma
+#
+0.0000403 K*- gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000135 K_1- gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000065 K'_1- gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000128 K'*- gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000166 K_2*- gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000017 K''*- gamma HELAMP 1.0 0.0 1.0 0.0;
+0.0003137 anti-Xsu gamma BTOXSGAMMA 2;
+#
+0.00000049 K- e+ e- PHOTOS BTOSLLBALL;
+0.000000700 K*- e+ e- PHOTOS BTOSLLBALL;
+0.000004994 anti-Xsu e+ e- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.00000039 K- mu+ mu- PHOTOS BTOSLLBALL;
+0.000000700 K*- mu+ mu- PHOTOS BTOSLLBALL;
+0.000002506 anti-Xsu mu+ mu- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.000000130 K- tau+ tau- PHOTOS BTOSLLBALL;
+0.000000190 K*- tau+ tau- PHOTOS BTOSLLBALL;
+0.000000200 anti-Xsu tau+ tau- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+#
+#
+#------------------------------------------------------------------------------
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
+# Exclusive hadronic b->u
+#
+0.000026 pi- pi0 pi0 CB3PI-P00 alpha;
+0.0000121 pi- pi- pi+ CB3PI-MPP alpha;
+####
+0.0000049 eta pi- PHSP;
+0.0000026 eta K- PHSP;
+0.0000193 K*- eta SVS;
+0.0000084 rho- eta SVS;
+0.0000026 eta' pi- PHSP;
+0.0000697 eta' K- PHSP;
+0.0000049 K*- eta' SVS;
+0.0000087 rho- eta' SVS;
+0.0000067 omega pi- SVS;
+0.0000068 omega K- SVS;
+0.000001 omega K*- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000106 omega rho- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi pi- SVS;
+0.0000083 phi K- SVS;
+0.000023 anti-K0 pi- PHSP;
+0.00000128 K0 K- PHSP;
+0.0000055 pi- pi0 PHSP;
+0.0000121 K- pi0 PHSP;
+#
+# 3-body John Back (jback@slac.stanford.edu) - Oct 15, 2002
+# JGS intersperses modes with pi0->eta,eta'
+# B- modes
+#
+# rho0 3-body modes
+### AJR zeroed rho0pi- in favor of the CB3PI-P00 decay above
+0.0000000 rho0 pi- SVS;
+0.0000042 rho0 K- SVS;
+#
+# rho- 3-body modes
+### AJR zeroed rho-pi0 in favor of the CB3PI-MPP decay above
+0.000000 rho- pi0 SVS;
+0.000001 rho- anti-K0 SVS;
+
+
+#
+# rho(1450) 3-body modes
+0.0000022 rho(2S)0 pi- SVS;
+0.000001 rho(2S)0 K- SVS;
+#
+# f0,a0(980) 3-body modes
+0.000001 f_0 pi- PHSP;
+0.0000177 f_0 K- PHSP;
+0.000001 a_0- anti-K0 PHSP;
+0.000001 a_00 K- PHSP;
+0.000001 a_00 pi- PHSP;
+0.000001 a_0- pi0 PHSP;
+
+0.0000082 f_2 pi- PHSP;
+
+#
+# K*(1430) 3-body modes
+0.000047 anti-K_0*0 pi- PHSP;
+0.000002 K_0*0 K- PHSP;
+0.000047 K_0*- pi0 PHSP;
+0.000002 K_0*- K0 PHSP;
+#
+# K* (892) 3-body modes
+0.0000109 anti-K*0 pi- SVS;
+0.0000069 K*- pi0 SVS;
+0.000003 K*- K0 SVS;
+#
+#
+#
+# Non-resonant 3-body left-overs
+# Most modes are set at 1e-6
+#
+# pi-pi+pi-: high mass + f0(400-1200) = (1+1)e-6
+#0402270.000002 pi- pi+ pi- PHSP;
+#
+# K- pi+ pi-: high mass + f0(400-1200) = (5+5)e-6
+0.0000100 K- pi+ pi- PHSP;
+#
+# K- K+ pi-: just non-resonant
+0.000001 K- K+ pi- PHSP;
+#
+# K- K+ K-: high mass structure near 1500 + non-res: total - phiK
+0.0000296 K- K+ K- PHSP;
+#
+#
+# K-K-pi+: suppressed mode (1e-7)
+0.0000001 K- K- pi+ PHSP;
+# K+pi-pi-: suppressed mode (1e-7)
+0.0000001 K+ pi- pi- PHSP;
+#
+#
+# K- K0 pi0
+0.000001 K- K0 pi0 PHSP;
+0.000001 K- K0 eta PHSP;
+0.000001 K- K0 eta' PHSP;
+#
+# pi- anti-K0 pi0
+0.000001 pi- anti-K0 pi0 PHSP;
+0.000001 pi- anti-K0 eta PHSP;
+0.000001 pi- anti-K0 eta' PHSP;
+#
+# pi- pi0 pi0
+#0402270.000001 pi- pi0 pi0 PHSP;
+0.000001 pi- pi0 eta PHSP;
+0.000001 pi- pi0 eta' PHSP;
+0.000001 pi- eta eta PHSP;
+0.000001 pi- eta eta' PHSP;
+#
+# K- pi0 pi0
+0.000001 K- pi0 pi0 PHSP;
+0.000001 K- pi0 eta PHSP;
+0.000001 K- pi0 eta' PHSP;
+0.000001 K- eta eta PHSP;
+0.000001 K- eta eta' PHSP;
+0.000001 K- eta' eta' PHSP;
+#
+# K- anti-K0 K0: 4*BF(K+KsKs) (4 is a guess)
+0.000046 K- anti-K0 K0 PHSP;
+#
+# pi- anti-K0 K0
+0.000001 pi- anti-K0 K0 PHSP;
+#
+#^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#---------------------------------------------------------------------------
+#
+#4-body modes from Andrei Gritsan
+#--- 4-body rho-rho, rho-pi-pi, pi-pi-pi-pi --------------------------
+0.000018 rho- rho0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 rho0 pi- pi0 PHSP;
+0.000005 rho0 pi- eta PHSP;
+0.000002 rho0 pi- eta' PHSP;
+0.000010 omega pi- pi0 PHSP;
+0.000005 omega pi- eta PHSP;
+0.000002 omega pi- eta' PHSP;
+0.000010 rho- pi- pi+ PHSP;
+0.000010 rho- pi0 pi0 PHSP;
+0.000005 rho- pi0 eta PHSP;
+0.000002 rho- eta eta PHSP;
+0.000002 rho- pi0 eta' PHSP;
+0.000010 pi+ pi- pi- pi0 PHSP;
+0.000005 pi+ pi- pi- eta PHSP;
+0.000002 pi+ pi- pi- eta' PHSP;
+0.000010 pi- pi0 pi0 pi0 PHSP;
+0.000005 pi- eta pi0 pi0 PHSP;
+0.000002 pi- eta eta pi0 PHSP;
+0.000002 pi- eta' pi0 pi0 PHSP;
+0.000001 pi- eta' eta pi0 PHSP;
+0.0000204 a_10 pi- SVS;
+0.0000264 a_1- pi0 SVS;
+0.0000067 b_10 pi- SVS;
+0.000001 b_1- pi0 SVS;
+0.000002 rho- f_0 SVS;
+0.000010 rho- a_00 SVS;
+0.000002 rho0 a_0- SVS;
+0.000010 f_0 pi- pi0 PHSP;
+0.000001 a_00 pi- pi0 PHSP;
+0.000001 a_0- pi0 pi0 PHSP;
+0.000001 a_0+ pi- pi- PHSP;
+#--- 4-body rho-K*, rho-pi-K, K*-pi-pi, pi-pi-pi-K -------------------
+0.0000092 rho- anti-K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000005 rho0 K*- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 pi- pi0 anti-K*0 PHSP;
+0.000005 pi- eta anti-K*0 PHSP;
+0.000067 pi+ pi- K*- PHSP;
+0.000010 pi0 pi0 K*- PHSP;
+0.000005 pi0 eta K*- PHSP;
+0.000002 eta eta K*- PHSP;
+0.000002 pi0 eta' K*- PHSP;
+0.000001 eta eta' K*- PHSP;
+0.000010 rho- anti-K0 pi0 PHSP;
+0.000005 rho- anti-K0 eta PHSP;
+0.000002 rho- anti-K0 eta' PHSP;
+0.000010 rho- K- pi+ PHSP;
+0.000010 rho+ K- pi- PHSP;
+0.000005 rho0 anti-K0 pi- PHSP;
+0.000005 rho0 K- pi0 PHSP;
+0.000002 rho0 K- eta PHSP;
+0.000001 rho0 K- eta' PHSP;
+0.000005 omega anti-K0 pi- PHSP;
+0.000005 omega K- pi0 PHSP;
+0.000002 omega K- eta PHSP;
+0.000001 omega K- eta' PHSP;
+0.000010 pi+ pi- pi- anti-K0 PHSP;
+0.000010 pi- pi0 pi0 anti-K0 PHSP;
+0.000005 pi- eta pi0 anti-K0 PHSP;
+0.000002 pi- eta eta anti-K0 PHSP;
+0.000010 pi+ pi- pi0 K- PHSP;
+0.000005 pi+ pi- eta K- PHSP;
+0.000010 pi0 pi0 pi0 K- PHSP;
+0.000005 pi0 pi0 eta K- PHSP;
+0.000002 pi0 eta eta K- PHSP;
+0.000002 pi0 pi0 eta' K- PHSP;
+0.000001 pi0 eta eta' K- PHSP;
+0.000010 rho- anti-K_0*0 PHSP;
+0.000010 rho0 K_0*- PHSP;
+0.000010 pi- pi0 anti-K_0*0 PHSP;
+0.000010 pi0 pi0 K_0*- PHSP;
+0.0000052 K*- f_0 SVS;
+0.000010 a_10 K- SVS;
+0.0000349 a_1- anti-K0 SVS;
+0.0000091 b_10 K- SVS;
+0.000013 b_1- anti-K0 SVS;
+0.000005 K*- a_00 SVS;
+0.000005 anti-K*0 a_0- SVS;
+#--- 4-body K*-K*, rho-K-K, K*-K-pi, phi-pi-pi, pi-pi-K-K ------------
+0.000001 K*0 K*- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 phi rho- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 phi pi- pi0 PHSP;
+0.0000005 phi pi- eta PHSP;
+0.0000002 phi pi- eta' PHSP;
+0.000001 K+ K- rho- PHSP;
+0.000001 K0 anti-K0 rho- PHSP;
+0.000001 K0 K- rho0 PHSP;
+0.000001 K0 K- omega PHSP;
+0.000001 K+ K- pi- pi0 PHSP;
+0.0000005 K+ K- pi- eta PHSP;
+0.0000002 K+ K- pi- eta' PHSP;
+0.000001 K0 anti-K0 pi- pi0 PHSP;
+0.0000005 K0 anti-K0 pi- eta PHSP;
+0.0000002 K0 anti-K0 pi- eta' PHSP;
+0.000001 anti-K0 K+ pi- pi- PHSP;#2007 added
+0.000001 K0 K- pi+ pi- PHSP;
+0.00000025 K0 K- pi0 pi0 PHSP;
+0.0000005 K0 K- pi0 eta PHSP;
+0.00000025 K0 K- eta eta PHSP;#missing from B+
+0.0000002 K0 K- pi0 eta' PHSP;
+0.0000001 K0 K- eta eta' PHSP;
+0.000001 K*- K+ pi- PHSP;
+0.000001 K*+ K- pi- PHSP;
+
+0.000001 K0 anti-K*0 pi- PHSP;
+0.000001 K*0 anti-K0 pi- PHSP;
+0.000001 K- K*0 pi0 PHSP;
+0.0000005 K- K*0 eta PHSP;
+0.0000002 K- K*0 eta' PHSP;
+0.000001 K*- K0 pi0 PHSP;
+0.0000005 K*- K0 eta PHSP;
+0.0000002 K*- K0 eta' PHSP;
+#--- 4-body phi-K*, phi-K-pi, K-K-K*, pi-K-K-K -----------------------
+0.0000096 phi K*- SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 phi anti-K0 pi- PHSP;
+0.000010 phi K- pi0 PHSP;
+0.000005 phi K- eta PHSP;
+0.000002 phi K- eta' PHSP;
+0.000031 K- K+ K*- PHSP;#total -phiK*
+0.000010 K- K*+ K- PHSP;
+
+0.000010 K- K0 anti-K*0 PHSP;
+0.000010 K- K*0 anti-K0 PHSP;
+0.000010 K0 K*- anti-K0 PHSP;
+0.000010 K+ K- K- pi0 PHSP;
+0.000005 K+ K- K- eta PHSP;
+0.000002 K+ K- K- eta' PHSP;
+0.000010 K+ K- anti-K0 pi- PHSP;
+0.000010 K0 anti-K0 K- pi0 PHSP;
+0.000005 K0 anti-K0 K- eta PHSP;
+0.000002 K0 anti-K0 K- eta' PHSP;
+0.000010 K0 anti-K0 anti-K0 pi- PHSP;
+0.000010 phi K_0*- PHSP;
+0.000010 K- K+ K_0*- PHSP;
+0.000010 K- K- K_0*+ PHSP;
+0.000010 K- anti-K_0*0 K0 PHSP;
+0.000010 K- K_0*0 anti-K0 PHSP;
+0.000002 phi K'_1- PHSP;
+0.000002 K- K+ K'_1- PHSP;
+#--- 4-body phi-phi, phi-K-K, K-K-K-K --------------------------------
+0.000001 phi K0 K- PHSP;
+0.000001 K+ K- K- K0 PHSP;
+0.000001 K0 anti-K0 K0 K- PHSP;
+#5-body modes from Jim Smith - 1/30/05
+#--- 5-body rho-rho-pi, rho-pi-pi-pi, pi-pi-pi-pi-pi -------------------
+0.000010 rho0 rho0 pi- PHSP;
+0.000010 rho- rho0 pi0 PHSP;
+0.000005 rho- rho0 eta PHSP;
+0.000002 rho- rho0 eta' PHSP;
+0.000010 rho+ rho- pi- PHSP;
+0.000010 omega rho0 pi- PHSP;
+0.000010 omega rho- pi0 PHSP;
+0.000005 omega rho- eta PHSP;
+0.000002 omega rho- eta' PHSP;
+0.000002 rho0 pi+ pi- pi- PHSP;
+0.000002 rho0 pi- pi0 pi0 PHSP;
+0.000001 rho0 pi- eta pi0 PHSP;
+0.000001 rho0 pi- eta' pi0 PHSP;
+0.000002 omega pi- pi0 pi0 PHSP;
+0.000001 omega pi- eta pi0 PHSP;
+0.000001 omega pi- eta' pi0 PHSP;
+0.000002 rho+ pi- pi- pi0 PHSP;
+0.000001 rho+ pi- pi- eta PHSP;
+0.000001 rho+ pi- pi- eta' PHSP;
+0.000002 rho- pi+ pi- pi0 PHSP;
+0.000001 rho- pi+ pi- eta PHSP;
+0.000001 rho- pi+ pi- eta' PHSP;
+0.000002 rho- pi0 pi0 pi0 PHSP;
+0.000001 rho- pi0 eta pi0 PHSP;
+0.000001 rho- eta eta pi0 PHSP;
+0.000001 rho- pi0 eta' pi0 PHSP;
+0.000001 pi+ pi- pi- pi0 pi0 PHSP;
+0.000001 pi+ pi- pi- eta pi0 PHSP;
+0.000001 pi+ pi- pi- eta' pi0 PHSP;
+0.000001 pi- pi0 pi0 pi0 pi0 PHSP;
+0.000001 pi- eta pi0 pi0 pi0 PHSP;
+0.000001 pi- eta' pi0 pi0 pi0 PHSP;
+0.000010 a_1- rho0 PHSP;
+0.000010 a_1- omega PHSP;
+0.000010 a_1- f_0 PHSP;
+0.000010 a_10 pi- pi0 PHSP;
+0.000005 a_10 pi- eta PHSP;
+0.000002 a_10 pi- eta' PHSP;
+0.000010 a_1+ pi- pi- PHSP;
+0.000010 a_1- pi+ pi- PHSP;
+0.000010 a_1- pi0 pi0 PHSP;
+0.000005 a_1- pi0 eta PHSP;
+0.000002 a_1- pi0 eta' PHSP;
+0.000010 rho- f_0 pi0 PHSP;
+0.000005 rho- f_0 eta PHSP;
+0.000002 rho- f_0 eta' PHSP;
+0.000010 rho0 f_0 pi- PHSP;
+0.000010 omega f_0 pi- PHSP;
+0.000010 rho- a_00 pi0 PHSP;
+0.000005 rho- a_00 eta PHSP;
+0.000002 rho- a_00 eta' PHSP;
+0.000010 rho+ a_0- pi- PHSP;
+0.000010 rho0 a_0- pi0 PHSP;
+0.000005 rho0 a_0- eta PHSP;
+0.000002 rho0 a_0- eta' PHSP;
+0.000002 f_0 pi+ pi- pi- PHSP;
+0.000002 f_0 pi- pi0 pi0 PHSP;
+0.000001 f_0 pi- pi0 eta PHSP;
+0.000001 f_0 pi- pi0 eta' PHSP;
+0.000001 a_00 pi- pi0 pi0 PHSP;
+0.000001 a_0- pi0 pi0 pi0 PHSP;
+0.000001 a_0+ pi- pi- pi0 PHSP;
+#--- 5-body rho-K*pi, rho-2pi-K, K*-3pi, 4pi-K -------------------
+0.000010 rho- K*- pi+ PHSP;
+0.000010 rho+ K*- pi- PHSP;
+0.000010 rho- anti-K*0 pi0 PHSP;
+0.000005 rho- anti-K*0 eta PHSP;
+0.000002 rho- anti-K*0 eta' PHSP;
+0.000010 rho0 anti-K*0 pi- PHSP;
+0.000010 rho0 K*- pi0 PHSP;
+0.000005 rho0 K*- eta PHSP;
+0.000002 rho0 K*- eta' PHSP;
+0.000010 omega anti-K*0 pi- PHSP;
+0.000010 omega K*- pi0 PHSP;
+0.000005 omega K*- eta PHSP;
+0.000002 omega K*- eta' PHSP;
+0.000010 pi+ pi- anti-K*0 pi- PHSP;
+0.000010 pi- pi0 anti-K*0 pi0 PHSP;
+0.000005 pi- eta anti-K*0 pi0 PHSP;
+0.000002 pi- eta' anti-K*0 pi0 PHSP;
+0.000010 pi- pi+ K*- pi0 PHSP;
+0.000005 pi- pi+ K*- eta PHSP;
+0.000002 pi- pi+ K*- eta' PHSP;
+0.000010 pi0 pi0 K*- pi0 PHSP;
+0.000005 pi0 eta K*- pi0 PHSP;
+0.000002 eta eta K*- pi0 PHSP;
+0.000002 pi0 eta' K*- pi0 PHSP;
+0.000001 eta eta' K*- pi0 PHSP;
+0.000010 rho- anti-K0 pi+ pi- PHSP;
+0.000010 rho- anti-K0 pi0 pi0 PHSP;
+0.000005 rho- anti-K0 eta pi0 PHSP;
+0.000002 rho- anti-K0 eta' pi0 PHSP;
+0.000010 rho- K- pi+ pi0 PHSP;
+0.000010 rho+ K- pi- pi0 PHSP;
+0.000010 rho+ anti-K0 pi- pi- PHSP;
+0.000010 rho0 anti-K0 pi- pi0 PHSP;
+0.000010 rho0 K- pi0 pi0 PHSP;
+0.000005 rho0 K- eta pi0 PHSP;
+0.000002 rho0 K- eta' pi0 PHSP;
+0.000010 omega anti-K0 pi- pi0 PHSP;
+0.000010 omega K- pi0 pi0 PHSP;
+0.000005 omega K- eta pi0 PHSP;
+0.000002 omega K- eta' pi0 PHSP;
+0.000002 pi- pi- pi+ anti-K0 pi0 PHSP;
+0.000001 pi- pi- pi+ anti-K0 eta PHSP;
+0.000001 pi- pi- pi+ anti-K0 eta' PHSP;
+0.000002 pi- pi0 pi0 anti-K0 pi0 PHSP;
+0.000001 pi- eta pi0 anti-K0 pi0 PHSP;
+0.000001 pi- eta eta anti-K0 pi0 PHSP;
+0.000002 pi+ pi- pi+ K- pi- PHSP;
+0.000002 pi+ pi- pi0 K- pi0 PHSP;
+0.000001 pi+ pi- eta K- pi0 PHSP;
+0.000001 pi+ pi- eta' K- pi0 PHSP;
+0.000002 pi0 pi0 pi0 K- pi0 PHSP;
+0.000001 pi0 pi0 eta K- pi0 PHSP;
+0.000001 pi0 eta eta K- pi0 PHSP;
+0.000001 pi0 pi0 eta' K- pi0 PHSP;
+0.000001 pi0 eta eta' K- pi0 PHSP;
+0.000010 rho0 anti-K_0*0 pi- PHSP;
+0.000010 rho- anti-K_0*0 pi0 PHSP;
+0.000005 rho- anti-K_0*0 eta PHSP;
+0.000002 rho- anti-K_0*0 eta' PHSP;
+0.000010 rho- K_0*- pi+ PHSP;
+0.000010 rho0 K_0*- pi0 PHSP;
+0.000005 rho0 K_0*- eta PHSP;
+0.000002 rho0 K_0*- eta' PHSP;
+0.000010 rho+ K_0*- pi- PHSP;#added 2007 not in PDG exist in B+
+0.000010 pi- pi- anti-K_0*0 pi+ PHSP;
+0.000010 pi- pi0 anti-K_0*0 pi0 PHSP;
+0.000005 pi- pi0 anti-K_0*0 eta PHSP;
+0.000002 pi- pi0 anti-K_0*0 eta' PHSP;
+0.000010 pi0 pi0 K_0*- pi0 PHSP;
+0.000005 pi0 pi0 K_0*- eta PHSP;
+0.000002 pi0 pi0 K_0*- eta' PHSP;
+0.000010 anti-K*0 f_0 pi- PHSP;
+0.000010 K*- f_0 pi0 PHSP;
+0.000005 K*- f_0 eta PHSP;
+0.000002 K*- f_0 eta' PHSP;
+0.000020 a_10 K*- PHSP;
+0.000010 a_10 K- pi0 PHSP;
+0.000010 a_10 anti-K0 pi- PHSP;
+0.000020 a_1- anti-K*0 PHSP;
+0.000010 a_1- K- pi+ PHSP;
+0.000010 a_1- anti-K0 pi0 PHSP;
+0.000005 K*- a_00 pi0 PHSP;
+0.000005 anti-K*0 a_0- pi0 PHSP;
+#--- 5-body K*-K*pi,rho-K-Kpi, K*-K-2pi, phi-3pi, 3pi-K-K ------------
+0.000001 K*0 anti-K*0 pi- PHSP;
+0.000001 K*0 K*- pi0 PHSP;
+0.0000005 K*0 K*- eta PHSP;
+0.0000002 K*0 K*- eta' PHSP;
+0.000001 phi rho0 pi- PHSP;
+0.000001 phi omega pi- PHSP;
+0.000001 phi f_0 pi- PHSP;
+0.000001 phi rho- pi0 PHSP;
+0.0000005 phi rho- eta PHSP;
+0.0000002 phi rho- eta' PHSP;
+0.000001 phi pi+ pi- pi- PHSP;
+0.000001 phi pi- pi0 pi0 PHSP;
+0.0000005 phi pi- eta pi0 PHSP;
+0.0000002 phi pi- eta' pi0 PHSP;
+0.000001 K0 K- rho+ pi- PHSP;
+0.000001 K0 K- rho- pi+ PHSP;
+0.000001 K0 K- rho0 pi0 PHSP;
+0.0000005 K0 K- rho0 eta PHSP;
+0.0000002 K0 K- rho0 eta' PHSP;
+0.000001 K0 K- omega pi0 PHSP;
+0.000001 K0 K- f_0 pi0 PHSP;
+0.000001 K+ K- rho0 pi- PHSP;
+0.000001 K+ K- rho- pi0 PHSP;
+0.0000005 K+ K- rho- eta PHSP;
+0.0000002 K+ K- rho- eta' PHSP;
+0.000001 K+ K- omega pi- PHSP;
+0.000001 K0 anti-K0 rho0 pi- PHSP;
+0.000001 K0 anti-K0 omega pi- PHSP;
+0.000001 K0 anti-K0 f_0 pi- PHSP;
+0.000001 K0 anti-K0 rho- pi0 PHSP;
+0.0000005 K0 anti-K0 rho- eta PHSP;
+0.0000002 K0 anti-K0 rho- eta' PHSP;
+0.000001 anti-K0 K+ rho- pi- PHSP;
+0.0000002 anti-K0 K+ pi- pi- pi0 PHSP;
+0.0000001 anti-K0 K+ pi- pi- eta PHSP;
+0.0000001 anti-K0 K+ pi- pi- eta' PHSP;
+0.0000002 K+ K- pi+ pi- pi- PHSP;
+0.0000002 K+ K- pi- pi0 pi0 PHSP;
+0.0000001 K+ K- pi- eta pi0 PHSP;
+0.0000001 K+ K- pi- eta' pi0 PHSP;
+0.0000002 K0 anti-K0 pi+ pi- pi- PHSP;
+0.0000002 K0 anti-K0 pi- pi0 pi0 PHSP;
+0.0000001 K0 anti-K0 pi- eta pi0 PHSP;
+0.0000001 K0 anti-K0 pi- eta' pi0 PHSP;
+0.0000002 K0 K- pi+ pi- pi0 PHSP;
+0.0000001 K0 K- pi+ pi- eta PHSP;
+0.0000001 K0 K- pi+ pi- eta' PHSP;
+0.0000002 K0 K- pi0 pi0 pi0 PHSP;
+0.0000001 K0 K- pi0 eta pi0 PHSP;
+0.0000001 K0 K- pi0 eta' pi0 PHSP;
+0.000001 anti-K*0 K+ pi- pi- PHSP;
+0.000001 K*+ anti-K0 pi- pi- PHSP;
+0.000001 K*- K+ pi- pi0 PHSP;
+0.000001 K*+ K- pi- pi0 PHSP;
+0.000001 K*0 anti-K0 pi- pi0 PHSP;
+0.000001 K0 anti-K*0 pi- pi0 PHSP;
+0.000001 K- K*0 pi0 pi0 PHSP;
+0.0000005 K- K*0 eta pi0 PHSP;
+0.0000002 K- K*0 eta' pi0 PHSP;
+0.000001 K*- K0 pi0 pi0 PHSP;
+0.0000005 K*- K0 eta pi0 PHSP;
+0.0000002 K*- K0 eta' pi0 PHSP;
+#--- 5-body phi-K*-pi, phi-K-2pi, K-K-K*-pi, 2pi-K-K-K --------------------
+0.000010 phi K*- pi0 PHSP;
+0.000010 phi K- rho0 PHSP;
+0.000010 phi K- omega PHSP;
+0.000010 phi K- f_0 PHSP;
+0.000010 phi anti-K0 rho- PHSP;
+0.000010 phi anti-K0 pi- pi0 PHSP;
+0.000010 phi K- pi+ pi- PHSP;
+0.000010 phi K- pi0 pi0 PHSP;
+0.000005 phi K- eta pi0 PHSP;
+0.000002 phi K- eta' pi0 PHSP;
+0.000010 K+ K- K*- pi0 PHSP;
+0.000010 K- K*+ K- pi0 PHSP;
+0.000010 K- K0 anti-K*0 pi0 PHSP;
+0.000010 K- K*0 anti-K0 pi0 PHSP;
+
+0.000010 K0 K*- anti-K0 pi0 PHSP;
+0.000010 K+ K- K- rho0 PHSP;
+0.000010 K+ K- K- omega PHSP;
+0.000010 K+ K- K- f_0 PHSP;
+0.000010 K- K+ anti-K0 rho- PHSP;
+0.000010 K- K- K+ pi0 pi0 PHSP;
+0.000005 K- K- K+ eta pi0 PHSP;
+0.000002 K- K- K+ eta' pi0 PHSP;
+0.000010 K+ K- anti-K0 pi- pi0 PHSP;
+0.000010 K0 anti-K0 K- pi0 pi0 PHSP;
+0.000005 K0 anti-K0 K- eta pi0 PHSP;
+0.000002 K0 anti-K0 K- eta' pi0 PHSP;
+0.000010 K0 anti-K0 anti-K0 pi- pi0 PHSP;
+0.000010 phi anti-K_0*0 pi- PHSP;
+0.000010 phi K_0*- pi0 PHSP;
+0.000005 phi K_0*- eta PHSP;
+0.000002 phi K_0*- eta' PHSP;
+0.000010 K- K+ K_0*- pi0 PHSP;
+0.000005 K- K+ K_0*- eta PHSP;
+0.000002 K- K+ K_0*- eta' PHSP;
+0.000010 K- K- K_0*+ pi0 PHSP;
+0.000005 K- K- K_0*+ eta PHSP;
+0.000002 K- K- K_0*+ eta' PHSP;
+0.000010 K- K+ anti-K_0*0 pi- PHSP;
+0.000010 K- K- K_0*0 pi+ PHSP;
+0.000010 anti-K0 anti-K0 K_0*0 pi- PHSP;
+0.000010 K- anti-K_0*0 K0 pi0 PHSP;
+0.000005 K- anti-K_0*0 K0 eta PHSP;
+0.000002 K- anti-K_0*0 K0 eta' PHSP;
+0.000010 K- K_0*0 anti-K0 pi0 PHSP;
+0.000005 K- K_0*0 anti-K0 eta PHSP;
+0.000002 K- K_0*0 anti-K0 eta' PHSP;
+0.000002 phi anti-K'_10 pi- PHSP;
+0.000002 phi K'_1- pi0 PHSP;
+0.000001 phi K'_1- eta PHSP;
+0.000001 phi K'_1- eta' PHSP;
+0.000002 K- K+ anti-K'_10 pi- PHSP;
+0.000002 K- K+ K'_1- pi0 PHSP;
+0.000001 K- K+ K'_1- eta PHSP;
+0.000001 K- K+ K'_1- eta' PHSP;
+0.000002 K- K- K'_1+ pi0 PHSP;
+0.000002 K- K- K'_10 pi+ PHSP; #2007 changed anti-K'_10 to K'_10
+0.000002 K0 anti-K0 anti-K'_10 pi- PHSP;
+0.000002 K0 anti-K0 K'_1- pi0 PHSP;
+0.000001 K0 anti-K0 K'_1- eta PHSP;
+0.000001 K0 anti-K0 K'_1- eta' PHSP;
+0.000002 anti-K0 anti-K0 K'_10 pi- PHSP;
+0.000002 K0 K0 K'_1- pi0 PHSP;
+0.000001 K0 K0 K'_1- eta PHSP;
+0.000001 K0 K0 K'_1- eta' PHSP;
+
+0.000010 K- K'_10 anti-K0 pi0 PHSP;
+0.000005 K- K'_10 anti-K0 eta PHSP;
+0.000002 K- K'_10 anti-K0 eta' PHSP;
+0.000010 K- K0 anti-K'_10 pi0 PHSP;
+0.000005 K- K0 anti-K'_10 eta PHSP;
+0.000002 K- K0 anti-K'_10 eta' PHSP;
+#--- 5-body phi-phi-K, phi-phi-pi, phi-3K, phi-K-K-pi, 5K, 4K-pi ------------
+0.0000049 phi phi K- PHSP;
+0.000001 phi phi pi- PHSP;
+0.000001 phi K+ K- K- PHSP;
+0.000001 phi K0 anti-K0 K- PHSP;
+0.000001 phi K0 anti-K0 pi- PHSP;
+0.000001 phi K0 K- pi0 PHSP;
+0.000001 K+ K- K+ K- pi- PHSP;
+0.000001 K+ K- K0 anti-K0 pi- PHSP;
+0.000001 K+ K- K- K0 pi0 PHSP;
+0.000001 K0 anti-K0 K0 K- pi0 PHSP;
+#--- 6-body phi-phi-K*, phi-3Kpi, phi-K-K-2pi ------------
+0.000003 phi phi K*- PHSP;
+0.000001 phi K+ K- K*- PHSP;
+0.000001 phi K0 anti-K0 K*- PHSP;
+0.000001 phi K0 K- anti-K*0 PHSP; ## 2007 changed K*0 to anti-K*0
+0.000001 phi K+ K- K- pi0 PHSP;
+0.000001 phi K+ K- anti-K0 pi- PHSP;
+0.000001 phi K0 anti-K0 K- pi0 PHSP;
+0.000001 phi K0 anti-K0 anti-K0 pi- PHSP;
+0.000001 phi K0 K- K- pi+ PHSP;
+#--- 6-body a1a1 ------------
+0.000050 a_1- a_10 PHSP;
+#
+# B -> cc= s sum = 1.92%
+#
+0.001007 J/psi K- SVS;
+0.00141 J/psi K*- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.000049 J/psi pi- SVS;
+0.00006 J/psi rho- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0002 J/psi anti-K0 pi- PHSP;
+0.0001 J/psi K- pi0 PHSP;
+#rl0.0007 J/psi K- pi+ pi- PHSP;
+#rl0.00035 J/psi K- pi0 pi0 PHSP;
+#rl0.00035 J/psi anti-K0 pi- pi0 PHSP;
+0.0018 J/psi K_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*- PHSP;
+
+0.000052 J/psi phi K- PHSP;
+#
+0.000648 psi(2S) K- SVS;
+0.00067 psi(2S) K*- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0004 psi(2S) anti-K0 pi- PHSP;
+0.0002 psi(2S) K- pi0 PHSP;
+0.0019 psi(2S) K- pi+ pi- PHSP;
+0.0001 psi(2S) K- pi0 pi0 PHSP;
+0.0001 psi(2S) anti-K0 pi- pi0 PHSP;
+0.0004 psi(2S) K_1- PHSP;
+#
+0.00091 eta_c K- PHSP;
+0.0012 K*- eta_c SVS;
+0.0002 eta_c anti-K0 pi- PHSP;
+0.0001 eta_c K- pi0 PHSP;
+0.0002 eta_c K- pi+ pi- PHSP;
+0.0001 eta_c K- pi0 pi0 PHSP;
+0.0001 eta_c anti-K0 pi- pi0 PHSP;
+#
+0.00034 eta_c(2S) K- PHSP;
+0.00048 K*- eta_c(2S) SVS;
+0.00008 eta_c(2S) anti-K0 pi- PHSP;
+0.00005 eta_c(2S) K- pi0 PHSP;
+0.00008 eta_c(2S) K- pi+ pi- PHSP;
+0.00005 eta_c(2S) K- pi0 pi0 PHSP;
+0.00005 eta_c(2S) anti-K0 pi- pi0 PHSP;
+#
+0.00014 chi_c0 K- PHSP;
+0.0004 K*- chi_c0 SVS;
+0.0002 chi_c0 anti-K0 pi- PHSP;
+0.0001 chi_c0 K- pi0 PHSP;
+0.0002 chi_c0 K- pi+ pi- PHSP;
+0.0001 chi_c0 K- pi0 pi0 PHSP;
+0.0001 chi_c0 anti-K0 pi- pi0 PHSP;
+#
+0.00049 chi_c1 K- SVS;
+0.00036 chi_c1 K*- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0004 chi_c1 anti-K0 pi- PHSP;
+0.0002 chi_c1 K- pi0 PHSP;
+0.0004 chi_c1 K- pi+ pi- PHSP;
+0.0002 chi_c1 K- pi0 pi0 PHSP;
+0.0002 chi_c1 anti-K0 pi- pi0 PHSP;
+#
+0.00002 chi_c2 K- STS;
+0.00001 chi_c2 K*- PHSP;
+0.0002 chi_c2 anti-K0 pi- PHSP;
+0.0001 chi_c2 K- pi0 PHSP;
+0.0002 chi_c2 K- pi+ pi- PHSP;
+0.0001 chi_c2 K- pi0 pi0 PHSP;
+0.0001 chi_c2 anti-K0 pi- pi0 PHSP;
+#
+0.00049 psi(3770) K- SVS;
+0.0005 psi(3770) K*- PHSP;
+0.0003 psi(3770) anti-K0 pi- PHSP;
+0.0002 psi(3770) K- pi0 PHSP;
+0.0002 psi(3770) K- pi+ pi- PHSP;
+0.0001 psi(3770) K- pi0 pi0 PHSP;
+0.0001 psi(3770) anti-K0 pi- pi0 PHSP;
+0.0003 psi(3770) K_1- PHSP;
+#
+# b -> c (sc=) -> D Ds X Sum = 10%
+#
+0.0100 D0 D_s- PHSP;
+0.0082 D*0 D_s- SVS;
+0.0076 D_s*- D0 SVS;
+0.0171 D_s*- D*0 SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0006 D'_10 D_s- SVS;
+0.0012 D'_10 D_s*- SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0012 D_10 D_s- SVS;
+0.0024 D_10 D_s*- SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0042 D_2*0 D_s- STS;
+0.0040 D_2*0 D_s*- PHSP;
+#
+#
+# SVV_HELAMP from factorization, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/168.html:
+#
+0.0036 D_s- D+ pi- PHSP;
+0.0018 D_s- D0 pi0 PHSP;
+0.0037 D_s*- D+ pi- PHSP;
+0.0018 D_s*- D0 pi0 PHSP;
+0.0033 D_s- D+ pi- pi0 PHSP;
+0.0033 D_s- D0 pi- pi+ PHSP;
+0.0008 D_s- D0 pi0 pi0 PHSP;
+0.0033 D_s*- D+ pi- pi0 PHSP;
+0.0033 D_s*- D0 pi- pi+ PHSP;
+0.0008 D_s*- D0 pi0 pi0 PHSP;
+#
+# b -> c (sc=) -> D D= K X Sum = 8%
+# update: Ref. [B1]:
+#
+0.0017 D0 D- anti-K0 PHSP;
+0.0052 D0 D*- anti-K0 PHSP;
+0.0031 D*0 D- anti-K0 PHSP;
+0.0078 D*0 D*- anti-K0 PHSP;
+# External+internal W-emission amplitude
+0.00137 D0 anti-D0 K- PHSP;
+0.0018 D*0 anti-D0 K- PHSP;
+0.0047 D0 anti-D*0 K- PHSP;
+0.0053 D*0 anti-D*0 K- PHSP;
+# Internal W-emission amplitude (color suppressed modes)
+0.0003 D- D+ K- PHSP;
+0.0005 D*- D+ K- PHSP;
+0.0015 D- D*+ K- PHSP;
+0.0015 D*- D*+ K- PHSP;
+#
+0.0025 D0 D- anti-K*0 PHSP;
+0.0025 D*0 D- anti-K*0 PHSP;
+0.0025 D0 D*- anti-K*0 PHSP;
+0.0050 D*0 D*- anti-K*0 PHSP;
+#
+0.0025 D0 anti-D0 K*- PHSP;
+0.0025 D*0 anti-D0 K*- PHSP;
+0.0025 D0 anti-D*0 K*- PHSP;
+0.0050 D*0 anti-D*0 K*- PHSP;
+#
+0.0005 D- D+ K*- PHSP;
+0.0005 D*- D+ K*- PHSP;
+0.0005 D- D*+ K*- PHSP;
+0.0010 D*- D*+ K*- PHSP;
+#
+# B->D(*)D(*). See Ref [B1]:
+#
+0.00042 D- D0 PHSP;
+0.00039 D*- D0 SVS;
+0.00063 D*0 D- SVS;
+0.00081 D*0 D*- SVV_HELAMP 0.47 0.0 0.96 0.0 0.56 0.0;
+
+#
+# B -> D(*) X Exclusive Modes
+#
+0.00519 D*0 pi- SVS;
+0.00484 D0 pi- PHSP;
+0.0134 rho- D0 SVS;
+# D* rho HELAMP parameters taken from ICHEP 98-852.
+0.0098 D*0 rho- SVV_HELAMP 0.228 0.95 0.932 0.0 0.283 1.13;
+#
+0.0005 D0 pi0 pi- PHSP;
+0.0005 D*0 pi0 pi- PHSP;
+0.00102 D+ pi- pi- PHSP;
+0.00125 D*+ pi- pi- PHSP;
+#
+# D a1 updated Ref. [B1]:
+0.00887 a_1- D0 SVS;
+0.0021 D0 rho0 pi- PHSP;
+0.0050 D0 pi+ pi- pi- PHSP;
+#
+# SVV_HELAMP from factorization, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/168.html:
+# updated Ref. [B1]:
+#
+0.01900 D*0 a_1- SVV_HELAMP 0.200 0.0 0.866 0.0 0.458 0.0;
+#
+0.0005 D*0 rho0 pi- PHSP;
+0.00045 D*0 pi+ pi- pi- PHSP;
+#
+0.0020 D+ rho- pi- PHSP;
+0.0020 D+ pi0 pi- pi- PHSP;
+0.0020 D*+ rho- pi- PHSP;
+0.0150 D*+ pi0 pi- pi- PHSP;
+0.0005 D*0 rho- pi0 PHSP;
+0.0005 D*0 pi- pi0 pi0 PHSP;
+#
+# B->D** pi and D** rho, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html
+# further update October 26, 2004 Lange
+#
+0.0013 D_10 pi- SVS;
+0.00075 D'_10 pi- SVS;
+0.00086 D_2*0 pi- STS;
+0.00091 D_0*0 pi- PHSP;
+0.0007 D_10 rho- PHSP;
+0.0022 D'_10 rho- PHSP;
+0.0038 D_2*0 rho- PHSP;
+
+#
+#
+# B->DK, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html:
+# update: Ref [B1]:
+#
+0.000402 D0 K- PHSP;
+0.000416 D*0 K- SVS;
+0.00053 K*- D0 SVS;
+0.00081 D*0 K*- SVV_HELAMP 0.228 0.0 0.932 0.0 0.283 0.0;
+#October 26, 2004 Lange
+0.00000054 D- pi0 PHSP;
+0.00000054 D*- pi0 SVS;
+0.0000004 D- anti-K0 PHSP;#2007 changed BR
+0.0000006 D*- anti-K0 SVS;#2007 changed BR
+#
+#October 26, 2004 - Lange
+0.00073 D0 D_s0*- PHSP;
+0.0009 D*0 D_s0*- SVS;
+0.0031 D_s1- D0 SVS;
+0.012 D*0 D_s1- SVV_HELAMP 0.4904 0.0 0.7204 0.0 0.4904 0.0;
+#
+0.020 cd_1 anti-uu_1 PYTHIA 22;
+0.012 cd_1 anti-uu_1 PYTHIA 23;
+0.003 cs_1 anti-uu_1 PYTHIA 23;
+0.005 cs_0 anti-cu_0 PYTHIA 22;
+0.010 cs_1 anti-cu_1 PYTHIA 22;
+0.001 cs_0 anti-cu_0 PYTHIA 23;
+0.002 cs_1 anti-cu_1 PYTHIA 23;
+#
+0.214266 anti-u d c anti-u PYTHIA 48;
+0.04300 anti-u d c anti-u PYTHIA 13;
+0.02250 anti-u s c anti-u PYTHIA 13;
+#lange - try to crank up the psi production....
+0.07400 anti-c s c anti-u PYTHIA 13;
+0.00400 anti-c d c anti-u PYTHIA 13;
+0.00300 anti-u d u anti-u PYTHIA 48;
+0.00400 anti-c s u anti-u PYTHIA 48;
+# JGS 11/5/02 This and similar a few lines above have been divided by two
+# to solve a double-counting problem for this channel
+0.00205 anti-u u d anti-u PYTHIA 48;
+0.00007 anti-d d d anti-u PYTHIA 48;
+0.00009 anti-s s d anti-u PYTHIA 48;
+0.00220 anti-u u s anti-u PYTHIA 48;
+0.00180 anti-d d s anti-u PYTHIA 48;
+0.00150 anti-s s s anti-u PYTHIA 48;
+0.00500 s g anti-u PYTHIA 33;
+#
+####
+
+Enddecay
+#
+
+Decay B+
+#
+# b -> c semileptonic
+0.0650 anti-D*0 e+ nu_e PHOTOS HQET 0.77 1.33 0.92;
+0.0215 anti-D0 e+ nu_e PHOTOS ISGW2;
+0.0056 anti-D_10 e+ nu_e PHOTOS ISGW2;
+0.0049 anti-D_0*0 e+ nu_e PHOTOS ISGW2;
+0.009 anti-D'_10 e+ nu_e PHOTOS ISGW2;
+0.003 anti-D_2*0 e+ nu_e PHOTOS ISGW2;
+0.0063 D*- pi+ e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0003 anti-D*0 pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0052 D- pi+ e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0010 anti-D0 pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+
+0.0650 anti-D*0 mu+ nu_mu PHOTOS HQET 0.77 1.33 0.92;
+0.0215 anti-D0 mu+ nu_mu PHOTOS ISGW2;
+0.0056 anti-D_10 mu+ nu_mu PHOTOS ISGW2;
+0.0049 anti-D_0*0 mu+ nu_mu PHOTOS ISGW2;
+0.009 anti-D'_10 mu+ nu_mu PHOTOS ISGW2;
+0.003 anti-D_2*0 mu+ nu_mu PHOTOS ISGW2;
+0.0063 D*- pi+ mu+ nu_mu PHOTOS GOITY_ROBERTS;
+0.0003 anti-D*0 pi0 mu+ nu_mu PHOTOS GOITY_ROBERTS;
+0.0052 D- pi+ mu+ nu_mu PHOTOS GOITY_ROBERTS;
+0.0010 anti-D0 pi0 mu+ nu_mu PHOTOS GOITY_ROBERTS;
+#
+# b -> c tau nu
+#
+0.0208 anti-D*0 tau+ nu_tau ISGW2;
+0.0088 anti-D0 tau+ nu_tau ISGW2;
+0.0013 anti-D_10 tau+ nu_tau ISGW2;
+0.0013 anti-D_0*0 tau+ nu_tau ISGW2;
+0.0020 anti-D'_10 tau+ nu_tau ISGW2;
+0.0020 anti-D_2*0 tau+ nu_tau ISGW2;
+#
+# b -> u l nu
+#
+0.000077 pi0 e+ nu_e PHOTOS ISGW2;
+0.000080 eta e+ nu_e PHOTOS ISGW2;
+0.000128 rho0 e+ nu_e PHOTOS ISGW2;
+0.000130 omega e+ nu_e PHOTOS ISGW2;
+0.000084 eta' e+ nu_e PHOTOS ISGW2;
+0.000000 anti-D(2S)0 e+ nu_e PHOTOS ISGW2;
+0.000000 anti-D*(2S)0 e+ nu_e PHOTOS ISGW2;
+0.001948 Xu0 e+ nu_e PHOTOS VubHybridBp;
+#
+0.000077 pi0 mu+ nu_mu PHOTOS ISGW2;
+0.000080 eta mu+ nu_mu PHOTOS ISGW2;
+0.000128 rho0 mu+ nu_mu PHOTOS ISGW2;
+0.000130 omega mu+ nu_mu PHOTOS ISGW2;
+0.000084 eta' mu+ nu_mu PHOTOS ISGW2;
+0.000000 anti-D(2S)0 mu+ nu_mu PHOTOS ISGW2;
+0.000000 anti-D*(2S)0 mu+ nu_mu PHOTOS ISGW2;
+0.001948 Xu0 mu+ nu_mu PHOTOS VubHybridBp;
+#
+0.000030 pi0 tau+ nu_tau ISGW2;
+0.000012 eta tau+ nu_tau ISGW2;
+0.000042 rho0 tau+ nu_tau ISGW2;
+0.000042 omega tau+ nu_tau ISGW2;
+0.000018 eta' tau+ nu_tau ISGW2;
+0.000046 a_10 tau+ nu_tau ISGW2;
+0.000027 b_10 tau+ nu_tau ISGW2;
+0.000004 a_00 tau+ nu_tau ISGW2;
+0.000002 f_0 tau+ nu_tau ISGW2;
+0.000002 f'_0 tau+ nu_tau ISGW2;
+0.000023 f_1 tau+ nu_tau ISGW2;
+0.000023 f'_1 tau+ nu_tau ISGW2;
+0.000013 h_1 tau+ nu_tau ISGW2;
+0.000013 h'_1 tau+ nu_tau ISGW2;
+0.000020 f_2 tau+ nu_tau ISGW2;
+0.000020 f'_2 tau+ nu_tau ISGW2;
+0.000000 anti-D(2S)0 tau+ nu_tau ISGW2;
+0.000000 anti-D*(2S)0 tau+ nu_tau ISGW2;
+#
+#
+# b -> l nu
+#
+0.000180 tau+ nu_tau SLN;
+0.000000 mu+ nu_mu PHOTOS SLN;
+0.000000 e+ nu_e PHOTOS SLN;
+
+#
+# b->u hadronic
+# Ref. [B1]:
+#
+0.000016 D_s+ pi0 PHSP;
+0.000020 D_s*+ pi0 SVS;
+#
+0.000028 rho0 D_s+ SVS;
+0.000028 D_s*+ rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+
+#
+# b-> s gamma
+#
+0.0000403 K*+ gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000135 K_1+ gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000065 K'_1+ gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000128 K'*+ gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000166 K_2*+ gamma HELAMP 1.0 0.0 1.0 0.0;
+#0.0000017 K''*+ gamma HELAMP 1.0 0.0 1.0 0.0;
+0.0003137 Xsu gamma BTOXSGAMMA 2;
+#
+0.00000049 K+ e+ e- PHOTOS BTOSLLBALL;
+0.000000700 K*+ e+ e- PHOTOS BTOSLLBALL;
+0.000004994 Xsu e+ e- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.00000039 K+ mu+ mu- PHOTOS BTOSLLBALL;
+0.000000700 K*+ mu+ mu- PHOTOS BTOSLLBALL;
+0.000002506 Xsu mu+ mu- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+0.000000130 K+ tau+ tau- PHOTOS BTOSLLBALL;
+0.000000190 K*+ tau+ tau- PHOTOS BTOSLLBALL;
+0.000000200 Xsu tau+ tau- PHOTOS BTOXSLL 4.8 0.2 0.0 0.41;
+#
+#------------------------------------------------------------------------------
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
+#
+# Exclusive hadronic b->u
+#
+0.000026 pi+ pi0 pi0 CB3PI-P00 alpha;
+0.0000121 pi+ pi+ pi- CB3PI-MPP alpha;
+####
+0.0000049 eta pi+ PHSP;
+0.0000026 eta K+ PHSP;
+0.0000193 K*+ eta SVS;
+0.0000084 rho+ eta SVS;
+0.0000026 eta' pi+ PHSP;
+0.0000697 eta' K+ PHSP;
+0.0000049 K*+ eta' SVS;
+0.0000087 rho+ eta' SVS;
+0.0000067 omega pi+ SVS;
+0.0000068 omega K+ SVS;
+0.000001 omega K*+ SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000106 omega rho+ SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.0000001 phi pi+ SVS;
+0.0000083 phi K+ SVS;
+0.000023 K0 pi+ PHSP;
+0.00000128 anti-K0 K+ PHSP;
+0.0000055 pi+ pi0 PHSP;
+0.0000121 K+ pi0 PHSP;
+#
+# 3-body John Back (jback@slac.stanford.edu) - Oct 15, 2002
+# JGS intersperses modes with pi0->eta,eta'
+# B+ modes
+#
+# rho0 3-body modes
+### AJR zeroed rho0pi- in favor of the CB3PI-P00 decay above
+0.0000000 rho0 pi+ SVS;
+0.0000042 rho0 K+ SVS;
+#
+# rho+ 3-body modes
+### AJR zeroed rho-pi0 in favor of the CB3PI-MPP decay above
+0.0000000 rho+ pi0 SVS;
+0.000001 rho+ K0 SVS;
+#
+# rho(1450) 3-body modes
+0.0000022 rho(2S)0 pi+ SVS;
+0.000001 rho(2S)0 K+ SVS;
+#
+# f0(980) 3-body modes
+0.000001 f_0 pi+ PHSP;
+0.0000177 f_0 K+ PHSP;
+0.000001 a_0+ K0 PHSP;
+0.000001 a_00 K+ PHSP;
+0.000001 a_00 pi+ PHSP;
+0.000001 a_0+ pi0 PHSP;
+
+0.0000082 f_2 pi+ PHSP;
+
+#
+# K*0(1430) 3-body modes
+0.000047 K_0*0 pi+ PHSP;
+0.000002 anti-K_0*0 K+ PHSP;
+0.000047 K_0*+ pi0 PHSP;
+0.000002 K_0*+ anti-K0 PHSP;
+#
+# K*(892) 3-body modes
+0.0000109 K*0 pi+ SVS;
+0.0000069 K*+ pi0 SVS;
+0.000003 K*+ anti-K0 SVS;
+
+#
+#
+# Non-resonant 3-body left-overs
+# Most modes are set at 1e-6
+#
+# pi+pi-pi+: high mass + f0(400-1200) = (1+1)e-6
+#0402270.000002 pi+ pi- pi+ PHSP;
+#
+# K+ pi- pi+:total-K*pi
+0.0000100 K+ pi- pi+ PHSP;
+#
+# K+ K- pi+: just non resonant
+0.000001 K+ K- pi+ PHSP;
+#
+# K+K-K+: high mass structure near 1500 + non-res: total - phiK =
+0.0000296 K+ K- K+ PHSP;
+#
+#
+# K+K+pi-: suppressed mode (1e-7)
+0.0000001 K+ K+ pi- PHSP;
+# K-pi+pi+: suppressed mode (1e-7)
+0.0000001 K- pi+ pi+ PHSP;
+#
+#
+# K+ anti-K0 pi0
+0.000001 K+ anti-K0 pi0 PHSP;
+0.000001 K+ anti-K0 eta PHSP;
+0.000001 K+ anti-K0 eta' PHSP;
+#
+# pi+ K0 pi0
+0.000001 pi+ K0 pi0 PHSP;
+0.000001 pi+ K0 eta PHSP;
+0.000001 pi+ K0 eta' PHSP;
+#
+# pi+ pi0 pi0
+#0402270.000001 pi+ pi0 pi0 PHSP;
+0.000001 pi+ pi0 eta PHSP;
+0.000001 pi+ pi0 eta' PHSP;
+0.000001 pi+ eta eta PHSP;
+0.000001 pi+ eta eta' PHSP;
+#
+# K+ pi0 pi0
+0.000001 K+ pi0 pi0 PHSP;
+0.000001 K+ pi0 eta PHSP;
+0.000001 K+ pi0 eta' PHSP;
+0.000001 K+ eta eta PHSP;
+0.000001 K+ eta eta' PHSP;
+0.000001 K+ eta' eta' PHSP;
+#
+#
+# K+ K0 anti-K0: 4*BF(K+KsKs) (4 is a guess)
+0.000046 K+ K0 anti-K0 PHSP;
+#
+# pi+ K0 anti-K0
+0.000001 pi+ K0 anti-K0 PHSP;
+#
+#^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+# 2- and 3-body modes revised Feb.2005 Markus Cristinziani, SLAC
+#---------------------------------------------------------------------------
+#
+#4-body modes from Andrei Gritsan
+#--- 4-body rho-rho, a1-pi, rho-pi-pi, pi-pi-pi-pi --------------------------
+0.000018 rho+ rho0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 rho0 pi+ pi0 PHSP;
+0.000005 rho0 pi+ eta PHSP;
+0.000002 rho0 pi+ eta' PHSP;
+0.000010 omega pi+ pi0 PHSP;
+0.000005 omega pi+ eta PHSP;
+0.000002 omega pi+ eta' PHSP;
+0.000010 rho+ pi+ pi- PHSP;
+0.000010 rho+ pi0 pi0 PHSP;
+0.000005 rho+ pi0 eta PHSP;
+0.000002 rho+ eta eta PHSP;
+0.000002 rho+ pi0 eta' PHSP;
+0.000010 pi- pi+ pi+ pi0 PHSP;
+0.000005 pi- pi+ pi+ eta PHSP;
+0.000002 pi- pi+ pi+ eta' PHSP;
+0.000010 pi+ pi0 pi0 pi0 PHSP;
+0.000005 pi+ eta pi0 pi0 PHSP;
+0.000002 pi+ eta eta pi0 PHSP;
+0.000002 pi+ eta' pi0 pi0 PHSP;
+0.000001 pi+ eta' eta pi0 PHSP;
+0.0000204 a_10 pi+ SVS;
+0.0000264 a_1+ pi0 SVS;
+0.0000067 b_10 pi+ SVS;
+0.000001 b_1+ pi0 SVS;
+0.0000020 rho+ f_0 SVS;
+0.000010 rho+ a_00 SVS;
+0.000002 rho0 a_0+ SVS;
+0.000010 f_0 pi+ pi0 PHSP;
+0.000001 a_00 pi+ pi0 PHSP;
+0.000001 a_0+ pi0 pi0 PHSP;
+0.000001 a_0- pi+ pi+ PHSP;
+#--- 4-body rho-K*, a1-K, rho-pi-K, K*-pi-pi, pi-pi-pi-K -------------------
+0.0000092 rho+ K*0 SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000005 rho0 K*+ SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 pi+ pi0 K*0 PHSP;
+0.000005 pi+ eta K*0 PHSP;
+0.000067 pi- pi+ K*+ PHSP;
+0.000010 pi0 pi0 K*+ PHSP;
+0.000005 pi0 eta K*+ PHSP;
+0.000002 eta eta K*+ PHSP;
+0.000002 pi0 eta' K*+ PHSP;
+0.000001 eta eta' K*+ PHSP;
+0.000010 rho+ K0 pi0 PHSP;
+0.000005 rho+ K0 eta PHSP;
+0.000002 rho+ K0 eta' PHSP;
+0.000010 rho+ K+ pi- PHSP;
+0.000010 rho- K+ pi+ PHSP;
+0.000005 rho0 K0 pi+ PHSP;
+0.000005 rho0 K+ pi0 PHSP;
+0.000002 rho0 K+ eta PHSP;
+0.000001 rho0 K+ eta' PHSP;
+0.000005 omega K0 pi+ PHSP;
+0.000005 omega K+ pi0 PHSP;
+0.000002 omega K+ eta PHSP;
+0.000001 omega K+ eta' PHSP;
+0.000010 pi+ pi+ pi- K0 PHSP;
+0.000010 pi+ pi0 pi0 K0 PHSP;
+0.000005 pi+ eta pi0 K0 PHSP;
+0.000002 pi+ eta eta K0 PHSP;
+0.000010 pi+ pi- pi0 K+ PHSP;
+0.000005 pi+ pi- eta K+ PHSP;
+0.000010 pi0 pi0 pi0 K+ PHSP;
+0.000005 pi0 pi0 eta K+ PHSP;
+0.000002 pi0 eta eta K+ PHSP;
+0.000002 pi0 pi0 eta' K+ PHSP;
+0.000001 pi0 eta eta' K+ PHSP;
+0.000010 rho+ K_0*0 PHSP;
+0.000010 rho0 K_0*+ PHSP;
+0.000010 pi+ pi0 K_0*0 PHSP;
+0.000010 pi0 pi0 K_0*+ PHSP;
+0.0000052 K*+ f_0 SVS;
+0.000010 a_10 K+ SVS;
+0.0000349 a_1+ K0 SVS;
+0.0000091 b_10 K+ SVS;
+0.000013 b_1+ K0 SVS;
+0.000005 K*+ a_00 SVS;
+0.000005 K*0 a_0+ SVS;
+#--- 4-body K*-K*, rho-K-K, K*-K-pi, phi-pi-pi, pi-pi-K-K ------------
+0.000001 anti-K*0 K*+ SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 phi rho+ SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000001 phi pi+ pi0 PHSP;
+0.0000005 phi pi+ eta PHSP;
+0.0000002 phi pi+ eta' PHSP;
+0.000001 K+ K- rho+ PHSP;
+0.000001 K0 anti-K0 rho+ PHSP;
+0.000001 anti-K0 K+ rho0 PHSP;
+0.000001 anti-K0 K+ omega PHSP;
+0.000001 K+ K- pi+ pi0 PHSP;
+0.0000005 K+ K- pi+ eta PHSP;
+0.0000002 K+ K- pi+ eta' PHSP;
+0.000001 K0 anti-K0 pi+ pi0 PHSP;
+0.0000005 K0 anti-K0 pi+ eta PHSP;
+0.0000002 K0 anti-K0 pi+ eta' PHSP;
+0.000001 K0 K- pi+ pi+ PHSP;# 2007 added the CC to B-
+0.000001 anti-K0 K+ pi+ pi- PHSP;
+0.00000025 anti-K0 K+ pi0 pi0 PHSP;
+0.0000005 anti-K0 K+ pi0 eta PHSP;
+0.00000025 anti-K0 K+ eta eta PHSP;#added 2007
+0.0000002 anti-K0 K+ pi0 eta' PHSP;
+0.0000001 anti-K0 K+ eta eta' PHSP;
+0.000001 K*+ K- pi+ PHSP;
+0.000001 K*- K+ pi+ PHSP;
+0.000001 K*0 anti-K0 pi+ PHSP;
+0.000001 K0 anti-K*0 pi+ PHSP;
+0.000001 K+ anti-K*0 pi0 PHSP;
+0.0000005 K+ anti-K*0 eta PHSP;
+0.0000002 K+ anti-K*0 eta' PHSP;
+0.000001 K*+ anti-K0 pi0 PHSP;
+0.0000005 K*+ anti-K0 eta PHSP;
+0.0000002 K*+ anti-K0 eta' PHSP;
+#--- 4-body phi-K*, phi-K-pi, K-K-K*, pi-K-K-K -----------------------
+0.0000096 phi K*+ SVV_HELAMP 1.0 0.0 1.7 0.0 1.0 0.0;
+0.000010 phi K0 pi+ PHSP;
+0.000010 phi K+ pi0 PHSP;
+0.000005 phi K+ eta PHSP;
+0.000002 phi K+ eta' PHSP;
+0.000031 K- K+ K*+ PHSP; #total -phiK*
+0.000010 K+ K*- K+ PHSP;
+0.000010 K+ K*0 anti-K0 PHSP;
+0.000010 K+ K0 anti-K*0 PHSP;
+0.000010 K0 K*+ anti-K0 PHSP;
+0.000010 K+ K- K+ pi0 PHSP;
+0.000005 K+ K- K+ eta PHSP;
+0.000002 K+ K- K+ eta' PHSP;
+0.000010 K+ K- K0 pi+ PHSP;
+0.000010 K0 anti-K0 K+ pi0 PHSP;
+0.000005 K0 anti-K0 K+ eta PHSP;
+0.000002 K0 anti-K0 K+ eta' PHSP;
+0.000010 K0 anti-K0 K0 pi+ PHSP;
+0.000010 phi K_0*+ PHSP;
+0.000010 K- K+ K_0*+ PHSP;
+0.000010 K+ K+ K_0*- PHSP;
+
+0.000010 K+ K_0*0 anti-K0 PHSP;
+0.000010 K+ anti-K_0*0 K0 PHSP;
+0.000002 phi K'_1+ PHSP;
+0.000002 K- K+ K'_1+ PHSP;
+#--- 4-body phi-phi, phi-K-K, K-K-K-K --------------------------------
+0.000001 phi anti-K0 K+ PHSP;
+0.000001 K+ K- K+ anti-K0 PHSP;
+0.000001 K0 anti-K0 anti-K0 K+ PHSP;
+#
+#5-body modes from Jim Smith - 1/30/05
+#--- 5-body rho-rho-pi, rho-pi-pi-pi, pi-pi-pi-pi-pi -------------------
+0.000010 rho0 rho0 pi+ PHSP;
+0.000010 rho+ rho0 pi0 PHSP;
+0.000005 rho+ rho0 eta PHSP;
+0.000002 rho+ rho0 eta' PHSP;
+0.000010 rho+ rho- pi+ PHSP;
+0.000010 omega rho0 pi+ PHSP;
+0.000010 omega rho+ pi0 PHSP;
+0.000005 omega rho+ eta PHSP;
+0.000002 omega rho+ eta' PHSP;
+0.000002 rho0 pi+ pi- pi+ PHSP;
+0.000002 rho0 pi+ pi0 pi0 PHSP;
+0.000001 rho0 pi+ eta pi0 PHSP;
+0.000001 rho0 pi+ eta' pi0 PHSP;
+0.000002 omega pi+ pi0 pi0 PHSP;
+0.000001 omega pi+ eta pi0 PHSP;
+0.000001 omega pi+ eta' pi0 PHSP;
+0.000002 rho- pi+ pi+ pi0 PHSP;
+0.000001 rho- pi+ pi+ eta PHSP;
+0.000001 rho- pi+ pi+ eta' PHSP;
+0.000002 rho+ pi+ pi- pi0 PHSP;
+0.000001 rho+ pi+ pi- eta PHSP;
+0.000001 rho+ pi+ pi- eta' PHSP;
+0.000002 rho+ pi0 pi0 pi0 PHSP;
+0.000001 rho+ pi0 eta pi0 PHSP;
+0.000001 rho+ eta eta pi0 PHSP;
+0.000001 rho+ pi0 eta' pi0 PHSP;
+0.000001 pi- pi+ pi+ pi0 pi0 PHSP;
+0.000001 pi- pi+ pi+ eta pi0 PHSP;
+0.000001 pi- pi+ pi+ eta' pi0 PHSP;
+0.000001 pi+ pi0 pi0 pi0 pi0 PHSP;
+0.000001 pi+ eta pi0 pi0 pi0 PHSP;
+0.000001 pi+ eta' pi0 pi0 pi0 PHSP;
+0.000010 a_1+ rho0 PHSP;
+0.000010 a_1+ omega PHSP;
+0.000010 a_1+ f_0 PHSP;
+0.000010 a_10 pi+ pi0 PHSP;
+0.000005 a_10 pi+ eta PHSP;
+0.000002 a_10 pi+ eta' PHSP;
+0.000010 a_1- pi+ pi+ PHSP;
+0.000010 a_1+ pi+ pi- PHSP;
+0.000010 a_1+ pi0 pi0 PHSP;
+0.000005 a_1+ pi0 eta PHSP;
+0.000002 a_1+ pi0 eta' PHSP;
+0.000010 rho+ f_0 pi0 PHSP;
+0.000005 rho+ f_0 eta PHSP;
+0.000002 rho+ f_0 eta' PHSP;
+0.000010 rho0 f_0 pi+ PHSP;
+0.000010 omega f_0 pi+ PHSP;
+0.000010 rho+ a_00 pi0 PHSP;
+0.000005 rho+ a_00 eta PHSP;
+0.000002 rho+ a_00 eta' PHSP;
+0.000010 rho- a_0+ pi+ PHSP;
+0.000010 rho0 a_0+ pi0 PHSP;
+0.000005 rho0 a_0+ eta PHSP;
+0.000002 rho0 a_0+ eta' PHSP;
+0.000002 f_0 pi+ pi- pi+ PHSP;
+0.000002 f_0 pi+ pi0 pi0 PHSP;
+0.000001 f_0 pi+ pi0 eta PHSP;
+0.000001 f_0 pi+ pi0 eta' PHSP;
+0.000001 a_00 pi+ pi0 pi0 PHSP;
+0.000001 a_0+ pi0 pi0 pi0 PHSP;
+0.000001 a_0- pi+ pi+ pi0 PHSP;
+#--- 5-body rho-K*pi, rho-2pi-K, K*-3pi, 4pi-K -------------------
+0.000010 rho+ K*+ pi- PHSP;
+0.000010 rho- K*+ pi+ PHSP;
+0.000010 rho+ K*0 pi0 PHSP;
+0.000005 rho+ K*0 eta PHSP;
+0.000002 rho+ K*0 eta' PHSP;
+0.000010 rho0 K*0 pi+ PHSP;
+0.000010 rho0 K*+ pi0 PHSP;
+0.000005 rho0 K*+ eta PHSP;
+0.000002 rho0 K*+ eta' PHSP;
+0.000010 omega K*0 pi+ PHSP;
+0.000010 omega K*+ pi0 PHSP;
+0.000005 omega K*+ eta PHSP;
+0.000002 omega K*+ eta' PHSP;
+0.000010 pi+ pi- K*0 pi+ PHSP;
+0.000010 pi+ pi0 K*0 pi0 PHSP;
+0.000005 pi+ eta K*0 pi0 PHSP;
+0.000002 pi+ eta' K*0 pi0 PHSP;
+0.000010 pi- pi+ K*+ pi0 PHSP;
+0.000005 pi- pi+ K*+ eta PHSP;
+0.000002 pi- pi+ K*+ eta' PHSP;
+0.000010 pi0 pi0 K*+ pi0 PHSP;
+0.000005 pi0 eta K*+ pi0 PHSP;
+0.000002 eta eta K*+ pi0 PHSP;
+0.000002 pi0 eta' K*+ pi0 PHSP;
+0.000001 eta eta' K*+ pi0 PHSP;
+0.000010 rho+ K0 pi+ pi- PHSP;
+0.000010 rho+ K0 pi0 pi0 PHSP;
+0.000005 rho+ K0 eta pi0 PHSP;
+0.000002 rho+ K0 eta' pi0 PHSP;
+0.000010 rho+ K+ pi- pi0 PHSP;
+0.000010 rho- K+ pi+ pi0 PHSP;
+0.000010 rho- K0 pi+ pi+ PHSP;
+0.000010 rho0 K0 pi+ pi0 PHSP;
+0.000010 rho0 K+ pi0 pi0 PHSP;
+0.000005 rho0 K+ eta pi0 PHSP;
+0.000002 rho0 K+ eta' pi0 PHSP;
+0.000010 omega K0 pi+ pi0 PHSP;
+0.000010 omega K+ pi0 pi0 PHSP;
+0.000005 omega K+ eta pi0 PHSP;
+0.000002 omega K+ eta' pi0 PHSP;
+0.000002 pi+ pi+ pi- K0 pi0 PHSP;
+0.000001 pi+ pi+ pi- K0 eta PHSP;
+0.000001 pi+ pi+ pi- K0 eta' PHSP;
+0.000002 pi+ pi0 pi0 K0 pi0 PHSP;
+0.000001 pi+ eta pi0 K0 pi0 PHSP;
+0.000001 pi+ eta eta K0 pi0 PHSP;
+0.000002 pi+ pi- pi+ K+ pi- PHSP;
+0.000002 pi+ pi- pi0 K+ pi0 PHSP;
+0.000001 pi+ pi- eta K+ pi0 PHSP;
+0.000001 pi+ pi- eta' K+ pi0 PHSP;
+0.000002 pi0 pi0 pi0 K+ pi0 PHSP;
+0.000001 pi0 pi0 eta K+ pi0 PHSP;
+0.000001 pi0 eta eta K+ pi0 PHSP;
+0.000001 pi0 pi0 eta' K+ pi0 PHSP;
+0.000001 pi0 eta eta' K+ pi0 PHSP;
+0.000010 rho0 K_0*0 pi+ PHSP;
+0.000010 rho+ K_0*0 pi0 PHSP;
+0.000005 rho+ K_0*0 eta PHSP;
+0.000002 rho+ K_0*0 eta' PHSP;
+0.000010 rho+ K_0*+ pi- PHSP;
+0.000010 rho0 K_0*+ pi0 PHSP;
+0.000005 rho0 K_0*+ eta PHSP;
+0.000002 rho0 K_0*+ eta' PHSP;
+0.000010 rho- K_0*+ pi+ PHSP; #2007 added the CC to B-
+0.000010 pi+ pi+ K_0*0 pi- PHSP;
+0.000010 pi+ pi0 K_0*0 pi0 PHSP;
+0.000005 pi+ pi0 K_0*0 eta PHSP;
+0.000002 pi+ pi0 K_0*0 eta' PHSP;
+0.000010 pi0 pi0 K_0*+ pi0 PHSP;
+0.000005 pi0 pi0 K_0*+ eta PHSP;
+0.000002 pi0 pi0 K_0*+ eta' PHSP;
+0.000010 K*0 f_0 pi+ PHSP;
+0.000010 K*+ f_0 pi0 PHSP;
+0.000005 K*+ f_0 eta PHSP;
+0.000002 K*+ f_0 eta' PHSP;
+0.000020 a_10 K*+ PHSP;
+0.000010 a_10 K+ pi0 PHSP;
+0.000010 a_10 K0 pi+ PHSP;
+0.000020 a_1+ K*0 PHSP;
+0.000010 a_1+ K+ pi- PHSP;
+0.000010 a_1+ K0 pi0 PHSP;
+0.000005 K*+ a_00 pi0 PHSP;
+0.000005 K*0 a_0+ pi0 PHSP;
+#--- 5-body K*-K*pi,rho-K-Kpi, K*-K-2pi, phi-3pi, 3pi-K-K ------------
+0.000001 K*0 anti-K*0 pi+ PHSP;
+0.000001 anti-K*0 K*+ pi0 PHSP;
+0.0000005 anti-K*0 K*+ eta PHSP;
+0.0000002 anti-K*0 K*+ eta' PHSP;
+0.000001 phi rho0 pi+ PHSP;
+0.000001 phi omega pi+ PHSP;
+0.000001 phi f_0 pi+ PHSP;
+0.000001 phi rho+ pi0 PHSP;
+0.0000005 phi rho+ eta PHSP;
+0.0000002 phi rho+ eta' PHSP;
+0.000001 phi pi+ pi- pi+ PHSP;
+0.000001 phi pi+ pi0 pi0 PHSP;
+0.0000005 phi pi+ eta pi0 PHSP;
+0.0000002 phi pi+ eta' pi0 PHSP;
+
+0.000001 anti-K0 K+ rho- pi+ PHSP;
+0.000001 anti-K0 K+ rho+ pi- PHSP;
+0.000001 anti-K0 K+ rho0 pi0 PHSP;
+0.0000005 anti-K0 K+ rho0 eta PHSP;
+0.0000002 anti-K0 K+ rho0 eta' PHSP;
+0.000001 anti-K0 K+ omega pi0 PHSP;
+0.000001 anti-K0 K+ f_0 pi0 PHSP;
+0.000001 K+ K- rho0 pi+ PHSP;
+0.000001 K+ K- rho+ pi0 PHSP;
+0.0000005 K+ K- rho+ eta PHSP;
+0.0000002 K+ K- rho+ eta' PHSP;
+0.000001 K+ K- omega pi+ PHSP;
+0.000001 K0 anti-K0 rho0 pi+ PHSP;
+0.000001 K0 anti-K0 omega pi+ PHSP;
+0.000001 K0 anti-K0 f_0 pi+ PHSP;
+0.000001 K0 anti-K0 rho+ pi0 PHSP;
+0.0000005 K0 anti-K0 rho+ eta PHSP;
+0.0000002 K0 anti-K0 rho+ eta' PHSP;
+0.000001 K0 K- rho+ pi+ PHSP;
+
+0.0000002 K0 K- pi+ pi+ pi0 PHSP;
+0.0000001 K0 K- pi+ pi+ eta PHSP;
+0.0000001 K0 K- pi+ pi+ eta' PHSP;
+0.0000002 K+ K- pi+ pi- pi+ PHSP;
+0.0000002 K+ K- pi+ pi0 pi0 PHSP;
+0.0000001 K+ K- pi+ eta pi0 PHSP;
+0.0000001 K+ K- pi+ eta' pi0 PHSP;
+0.0000002 K0 anti-K0 pi+ pi- pi+ PHSP;
+0.0000002 K0 anti-K0 pi+ pi0 pi0 PHSP;
+0.0000001 K0 anti-K0 pi+ eta pi0 PHSP;
+0.0000001 K0 anti-K0 pi+ eta' pi0 PHSP;
+0.0000002 anti-K0 K+ pi+ pi- pi0 PHSP;
+0.0000001 anti-K0 K+ pi+ pi- eta PHSP;
+0.0000001 anti-K0 K+ pi+ pi- eta' PHSP;
+0.0000002 anti-K0 K+ pi0 pi0 pi0 PHSP;
+0.0000001 anti-K0 K+ pi0 eta pi0 PHSP;
+0.0000001 anti-K0 K+ pi0 eta' pi0 PHSP;
+0.000001 K*0 K- pi+ pi+ PHSP;
+0.000001 K*- K0 pi+ pi+ PHSP;
+0.000001 K*+ K- pi+ pi0 PHSP;
+0.000001 K*- K+ pi+ pi0 PHSP;
+0.000001 K0 anti-K*0 pi+ pi0 PHSP;
+0.000001 K*0 anti-K0 pi+ pi0 PHSP;
+
+0.000001 K+ anti-K*0 pi0 pi0 PHSP;
+0.0000005 K+ anti-K*0 eta pi0 PHSP;
+0.0000002 K+ anti-K*0 eta' pi0 PHSP;
+0.000001 K*+ anti-K0 pi0 pi0 PHSP;
+0.0000005 K*+ anti-K0 eta pi0 PHSP;
+0.0000002 K*+ anti-K0 eta' pi0 PHSP;
+#--- 5-body phi-K*-pi, phi-K-2pi, K-K-K*-pi, 2pi-K-K-K --------------------
+0.000010 phi K*+ pi0 PHSP;
+0.000010 phi K+ rho0 PHSP;
+0.000010 phi K+ omega PHSP;
+0.000010 phi K+ f_0 PHSP;
+0.000010 phi K0 rho+ PHSP;
+0.000010 phi K0 pi+ pi0 PHSP;
+0.000010 phi K+ pi+ pi- PHSP;
+0.000010 phi K+ pi0 pi0 PHSP;
+0.000005 phi K+ eta pi0 PHSP;
+0.000002 phi K+ eta' pi0 PHSP;
+0.000010 K- K+ K*+ pi0 PHSP;
+0.000010 K+ K*- K+ pi0 PHSP;
+0.000010 K+ K*0 anti-K0 pi0 PHSP;
+0.000010 K+ K0 anti-K*0 pi0 PHSP;
+0.000010 K0 K*+ anti-K0 pi0 PHSP;
+0.000010 K- K+ K+ rho0 PHSP;
+0.000010 K- K+ K+ omega PHSP;
+0.000010 K- K+ K+ f_0 PHSP;
+0.000010 K- K+ K0 rho+ PHSP;
+0.000010 K+ K- K+ pi0 pi0 PHSP;
+0.000005 K+ K- K+ eta pi0 PHSP;
+0.000002 K+ K- K+ eta' pi0 PHSP;
+0.000010 K+ K- K0 pi+ pi0 PHSP;
+0.000010 K0 anti-K0 K+ pi0 pi0 PHSP;
+0.000005 K0 anti-K0 K+ eta pi0 PHSP;
+0.000002 K0 anti-K0 K+ eta' pi0 PHSP;
+0.000010 K0 anti-K0 K0 pi+ pi0 PHSP;
+0.000010 phi K_0*0 pi+ PHSP;
+0.000010 phi K_0*+ pi0 PHSP;
+0.000005 phi K_0*+ eta PHSP;
+0.000002 phi K_0*+ eta' PHSP;
+0.000010 K- K+ K_0*+ pi0 PHSP;
+0.000005 K- K+ K_0*+ eta PHSP;
+0.000002 K- K+ K_0*+ eta' PHSP;
+0.000010 K+ K+ K_0*- pi0 PHSP;
+0.000005 K+ K+ K_0*- eta PHSP;
+0.000002 K+ K+ K_0*- eta' PHSP;
+0.000010 K- K+ K_0*0 pi+ PHSP;
+0.000010 K+ K+ anti-K_0*0 pi- PHSP;
+0.000010 K0 K0 anti-K_0*0 pi+ PHSP;
+
+0.000010 K+ K_0*0 anti-K0 pi0 PHSP;
+0.000005 K+ K_0*0 anti-K0 eta PHSP;
+0.000002 K+ K_0*0 anti-K0 eta' PHSP;
+0.000010 K+ anti-K_0*0 K0 pi0 PHSP;
+0.000005 K+ anti-K_0*0 K0 eta PHSP;
+0.000002 K+ anti-K_0*0 K0 eta' PHSP;
+0.000002 phi K'_10 pi+ PHSP;
+0.000002 phi K'_1+ pi0 PHSP;
+0.000001 phi K'_1+ eta PHSP;
+0.000001 phi K'_1+ eta' PHSP;
+0.000002 K- K+ K'_10 pi+ PHSP;
+0.000002 K- K+ K'_1+ pi0 PHSP;
+0.000001 K- K+ K'_1+ eta PHSP;
+0.000001 K- K+ K'_1+ eta' PHSP;
+0.000002 K+ K+ K'_1- pi0 PHSP;
+0.000002 K+ K+ anti-K'_10 pi- PHSP;# check CC
+0.000002 K0 anti-K0 K'_10 pi+ PHSP;
+0.000002 K0 anti-K0 K'_1+ pi0 PHSP;
+0.000001 K0 anti-K0 K'_1+ eta PHSP;
+0.000001 K0 anti-K0 K'_1+ eta' PHSP;
+0.000002 K0 K0 anti-K'_10 pi+ PHSP;
+0.000002 anti-K0 anti-K0 K'_1+ pi0 PHSP;
+0.000001 anti-K0 anti-K0 K'_1+ eta PHSP;
+0.000001 anti-K0 anti-K0 K'_1+ eta' PHSP;
+0.000010 K+ K0 anti-K'_10 pi0 PHSP;
+0.000005 K+ K0 anti-K'_10 eta PHSP;
+0.000002 K+ K0 anti-K'_10 eta' PHSP;
+0.000010 K+ K'_10 anti-K0 pi0 PHSP;
+0.000005 K+ K'_10 anti-K0 eta PHSP;
+0.000002 K+ K'_10 anti-K0 eta' PHSP;
+#--- 5-body phi-phi-K, phi-phi-pi, phi-3K, phi-K-K-pi, 5K, 4K-pi ------------
+0.0000049 phi phi K+ PHSP;
+0.000001 phi phi pi+ PHSP;
+0.000001 phi K+ K- K+ PHSP;
+0.000001 phi K0 anti-K0 K+ PHSP;
+0.000001 phi K0 anti-K0 pi+ PHSP;
+0.000001 phi anti-K0 K+ pi0 PHSP;
+0.000001 K+ K- K+ K- pi+ PHSP;
+0.000001 K+ K- K0 anti-K0 pi+ PHSP;
+0.000001 K+ K- K+ anti-K0 pi0 PHSP;
+0.000001 K0 anti-K0 anti-K0 K+ pi0 PHSP;
+#--- 6-body phi-phi-K*, phi-3Kpi, phi-K-K-2pi ------------
+0.000003 phi phi K*+ PHSP;
+0.000001 phi K+ K- K*+ PHSP;
+0.000001 phi K0 anti-K0 K*+ PHSP;
+0.000001 phi anti-K0 K+ K*0 PHSP;
+0.000001 phi K+ K- K+ pi0 PHSP;
+0.000001 phi K+ K- K0 pi+ PHSP;
+0.000001 phi K0 anti-K0 K+ pi0 PHSP;
+0.000001 phi K0 anti-K0 K0 pi+ PHSP;
+0.000001 phi anti-K0 K+ K+ pi- PHSP;
+#--- 6-body a1a1 ------------
+0.000050 a_1+ a_10 PHSP;
+#
+# B -> cc= s sum = 1.92% done
+#
+0.001007 J/psi K+ SVS;
+0.00141 J/psi K*+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.000049 J/psi pi+ SVS;
+0.00006 J/psi rho+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0002 J/psi K0 pi+ PHSP;
+0.0001 J/psi K+ pi0 PHSP;
+#rl0.0007 J/psi K+ pi- pi+ PHSP;
+#rl0.00035 J/psi K+ pi0 pi0 PHSP;
+#rl0.00035 J/psi K0 pi+ pi0 PHSP;
+0.0018 J/psi K_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*+ PHSP;
+0.000052 J/psi phi K+ PHSP;
+#
+0.000648 psi(2S) K+ SVS;
+0.00067 psi(2S) K*+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0004 psi(2S) K0 pi+ PHSP;
+0.0002 psi(2S) K+ pi0 PHSP;
+0.0019 psi(2S) K+ pi- pi+ PHSP;
+0.0001 psi(2S) K+ pi0 pi0 PHSP;
+0.0001 psi(2S) K0 pi+ pi0 PHSP;
+0.0004 psi(2S) K_1+ PHSP;
+#
+0.00091 eta_c K+ PHSP;
+0.0012 K*+ eta_c SVS;
+0.0002 eta_c K0 pi+ PHSP;
+0.0001 eta_c K+ pi0 PHSP;
+0.0002 eta_c K+ pi- pi+ PHSP;
+0.0001 eta_c K+ pi0 pi0 PHSP;
+0.0001 eta_c K0 pi+ pi0 PHSP;
+#
+0.00034 eta_c(2S) K+ PHSP;
+0.00048 K*+ eta_c(2S) SVS;
+0.00008 eta_c(2S) K0 pi+ PHSP;
+0.00005 eta_c(2S) K+ pi0 PHSP;
+0.00008 eta_c(2S) K+ pi- pi+ PHSP;
+0.00005 eta_c(2S) K+ pi0 pi0 PHSP;
+0.00005 eta_c(2S) K0 pi+ pi0 PHSP;
+#
+0.00014 chi_c0 K+ PHSP;
+0.0004 K*+ chi_c0 SVS;
+0.0002 chi_c0 K0 pi+ PHSP;
+0.0001 chi_c0 K+ pi0 PHSP;
+0.0002 chi_c0 K+ pi- pi+ PHSP;
+0.0001 chi_c0 K+ pi0 pi0 PHSP;
+0.0001 chi_c0 K0 pi+ pi0 PHSP;
+#
+0.00049 chi_c1 K+ SVS;
+0.00036 chi_c1 K*+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0004 chi_c1 K0 pi+ PHSP;
+0.0002 chi_c1 K+ pi0 PHSP;
+0.0004 chi_c1 K+ pi- pi+ PHSP;
+0.0002 chi_c1 K+ pi0 pi0 PHSP;
+0.0002 chi_c1 K0 pi+ pi0 PHSP;
+#
+0.00002 chi_c2 K+ STS;
+0.00001 chi_c2 K*+ PHSP;
+0.0002 chi_c2 K0 pi+ PHSP;
+0.0001 chi_c2 K+ pi0 PHSP;
+0.0002 chi_c2 K+ pi- pi+ PHSP;
+0.0001 chi_c2 K+ pi0 pi0 PHSP;
+0.0001 chi_c2 K0 pi+ pi0 PHSP;
+#
+0.00049 psi(3770) K+ SVS;
+0.0005 psi(3770) K*+ PHSP;
+0.0003 psi(3770) K0 pi+ PHSP;
+0.0002 psi(3770) K+ pi0 PHSP;
+0.0002 psi(3770) K+ pi- pi+ PHSP;
+0.0001 psi(3770) K+ pi0 pi0 PHSP;
+0.0001 psi(3770) K0 pi+ pi0 PHSP;
+0.0003 psi(3770) K_1+ PHSP;
+#
+# b -> c (sc=) -> D Ds X
+#
+0.0100 anti-D0 D_s+ PHSP;
+0.0082 anti-D*0 D_s+ SVS;
+0.0076 D_s*+ anti-D0 SVS;
+0.0171 D_s*+ anti-D*0 SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0006 anti-D'_10 D_s+ SVS;
+0.0012 anti-D'_10 D_s*+ SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0012 anti-D_10 D_s+ SVS;
+0.0024 anti-D_10 D_s*+ SVV_HELAMP 0.48 0.0 0.734 0.0 0.48 0.0;
+0.0042 anti-D_2*0 D_s+ STS;
+0.0040 anti-D_2*0 D_s*+ PHSP;
+#
+#
+0.0036 D_s+ D- pi+ PHSP;
+0.0018 D_s+ anti-D0 pi0 PHSP;
+0.0037 D_s*+ D- pi+ PHSP;
+0.0018 D_s*+ anti-D0 pi0 PHSP;
+0.0033 D_s+ D- pi+ pi0 PHSP;
+0.0033 D_s+ anti-D0 pi+ pi- PHSP;
+0.0008 D_s+ anti-D0 pi0 pi0 PHSP;
+0.0033 D_s*+ D- pi+ pi0 PHSP;
+0.0033 D_s*+ anti-D0 pi+ pi- PHSP;
+0.0008 D_s*+ anti-D0 pi0 pi0 PHSP;
+#
+# b -> c (sc=) -> D D= K X Sum = 8%
+# update: Ref. [B1]:
+# update October 26, 2004
+# External W-emission amplitude
+0.0017 anti-D0 D+ K0 PHSP;
+0.0052 anti-D0 D*+ K0 PHSP;
+0.0031 anti-D*0 D+ K0 PHSP;
+0.0078 anti-D*0 D*+ K0 PHSP;
+# External+internal W-emission amplitude
+0.00137 anti-D0 D0 K+ PHSP;
+0.0018 anti-D*0 D0 K+ PHSP;
+0.0047 anti-D0 D*0 K+ PHSP;
+0.0053 anti-D*0 D*0 K+ PHSP;
+# Internal W-emission amplitude (color suppressed modes)
+0.0003 D+ D- K+ PHSP;
+0.0005 D*+ D- K+ PHSP;
+0.0015 D+ D*- K+ PHSP;
+0.0015 D*+ D*- K+ PHSP;
+0.0025 anti-D0 D+ K*0 PHSP;
+0.0025 anti-D*0 D+ K*0 PHSP;
+0.0025 anti-D0 D*+ K*0 PHSP;
+0.0050 anti-D*0 D*+ K*0 PHSP;
+#
+0.0025 anti-D0 D0 K*+ PHSP;
+0.0025 anti-D*0 D0 K*+ PHSP;
+0.0025 anti-D0 D*0 K*+ PHSP;
+0.0050 anti-D*0 D*0 K*+ PHSP;
+#
+0.0005 D+ D- K*+ PHSP;
+0.0005 D*+ D- K*+ PHSP;
+0.0005 D+ D*- K*+ PHSP;
+0.0010 D*+ D*- K*+ PHSP;
+
+#
+# B->D(*)D(*). See Ref [B1]:
+#
+0.00042 D+ anti-D0 PHSP;
+0.00039 D*+ anti-D0 SVS;
+0.00063 anti-D*0 D+ SVS;
+0.00081 anti-D*0 D*+ SVV_HELAMP 0.56 0.0 0.96 0.0 0.47 0.0;
+
+#
+# B -> D(*) X Exclusive Modes
+# October 26, 2004 Lange update
+0.00519 anti-D*0 pi+ SVS;
+0.00484 anti-D0 pi+ PHSP;
+0.0134 rho+ anti-D0 SVS;
+# D* rho HELAMP parameters taken from ICHEP 98-852.
+0.0098 anti-D*0 rho+ SVV_HELAMP 0.283 1.13 0.932 0.0 0.228 0.95;
+#
+0.0005 anti-D0 pi0 pi+ PHSP;
+0.0005 anti-D*0 pi0 pi+ PHSP;
+0.00102 D- pi+ pi+ PHSP;
+0.00125 D*- pi+ pi+ PHSP;
+#
+# D a1 updated Ref. [B1]:
+0.00887 a_1+ anti-D0 SVS;#old result in PDG (4+4)*10^-3
+0.0021 anti-D0 rho0 pi+ PHSP;#old result in PDG (4.2+3)*10^-3
+0.0050 anti-D0 pi- pi+ pi+ PHSP;
+#
+# SVV_HELAMP from factorization, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/168.html:
+# updated Ref. [B1]:
+# October 26, 2004 Lange update
+#
+0.01900 anti-D*0 a_1+ SVV_HELAMP 0.458 0.0 0.866 0.0 0.200 0.0;
+#
+0.0005 anti-D*0 rho0 pi+ PHSP; #unmeasured in PDG stil used to calculate next decay
+0.00045 anti-D*0 pi- pi+ pi+ PHSP;#total- antiD*0a_1- antiD* rho pi
+#
+0.0020 D- rho+ pi+ PHSP;
+0.0020 D- pi0 pi+ pi+ PHSP;
+0.0020 D*- rho+ pi+ PHSP;
+0.0150 D*- pi0 pi+ pi+ PHSP;
+0.0005 anti-D*0 rho+ pi0 PHSP;
+0.0005 anti-D*0 pi+ pi0 pi0 PHSP;
+#
+# B->D** pi and D** rho, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html
+#
+0.0013 anti-D_10 pi+ SVS;
+0.00075 anti-D'_10 pi+ SVS;
+0.00086 anti-D_2*0 pi+ STS;
+0.00091 anti-D_0*0 pi+ PHSP;
+0.0007 anti-D_10 rho+ PHSP;
+0.0022 anti-D'_10 rho+ PHSP;
+0.0038 anti-D_2*0 rho+ PHSP;
+#
+#
+# B->DK, recommendation
+# http://babar-hn.slac.stanford.edu:5090/HyperNews/get/event_gen/151.html:
+# update: Ref [B1]:
+#
+0.000402 anti-D0 K+ PHSP;
+0.000416 anti-D*0 K+ SVS;
+0.00053 K*+ anti-D0 SVS;
+0.00081 anti-D*0 K*+ SVV_HELAMP 0.283 0.0 0.932 0.0 0.228 0.0;
+#October 26, 2004 Lange
+0.00000054 D+ pi0 PHSP;
+0.00000054 D*+ pi0 SVS;
+0.0000004 D+ K0 PHSP; #2007 changed anti- KO to K0
+0.0000006 D*+ K0 SVS;#2007 changed anti- KO to K0
+#
+#October 26, 2004 - Lange
+#changed 2007
+0.00073 anti-D0 D_s0*+ PHSP;
+0.0009 anti-D*0 D_s0*+ SVS;
+0.0031 D_s1+ anti-D0 SVS;
+0.012 anti-D*0 D_s1+ SVV_HELAMP 0.4904 0.0 0.7204 0.0 0.4904 0.0;
+#
+0.020 anti-cd_1 uu_1 PYTHIA 22;
+0.012 anti-cd_1 uu_1 PYTHIA 23;
+0.003 anti-cs_1 uu_1 PYTHIA 23;
+0.005 anti-cs_0 cu_0 PYTHIA 22;
+0.010 anti-cs_1 cu_1 PYTHIA 22;
+0.001 anti-cs_0 cu_0 PYTHIA 23;
+0.002 anti-cs_1 cu_1 PYTHIA 23;
+#
+0.214266 u anti-d anti-c u PYTHIA 48;
+0.04300 u anti-d anti-c u PYTHIA 13;
+0.02250 u anti-s anti-c u PYTHIA 13;
+#lange - try to crank up the psi production....
+0.07400 c anti-s anti-c u PYTHIA 13;
+0.00400 c anti-d anti-c u PYTHIA 13;
+0.00300 u anti-d anti-u u PYTHIA 48;
+0.00400 c anti-s anti-u u PYTHIA 48;
+# JGS 11/5/02 This and similar a few lines above have been divided by two
+# to solve a double-counting problem for this channel
+0.00205 u anti-u anti-d u PYTHIA 48;
+0.00007 d anti-d anti-d u PYTHIA 48;
+0.00009 s anti-s anti-d u PYTHIA 48;
+0.00220 u anti-u anti-s u PYTHIA 48;
+0.00180 d anti-d anti-s u PYTHIA 48;
+0.00150 s anti-s anti-s u PYTHIA 48;
+0.00500 anti-s g u PYTHIA 33;
+####
+Enddecay
+
+#-----------------------------------------------------------------
+# B references:
+#
+# [B1]: http://www.slac.stanford.edu/BFROOT/www/Physics/Tools/generators/dec-update/2002/Breco-recommendations.html
+#
+#-----------------------------------------------------------------
+
+
+#
+#
+# B* mesons
+#
+Decay B*+
+1.0000 B+ gamma VSP_PWAVE;
+Enddecay
+Decay B*-
+1.0000 B- gamma VSP_PWAVE;
+Enddecay
+Decay B*0
+1.0000 B0 gamma VSP_PWAVE;
+Enddecay
+Decay anti-B*0
+1.0000 anti-B0 gamma VSP_PWAVE;
+Enddecay
+
+# 12-May-2004 RJT
+# ----------------------------------------------------------------
+# Add B** decays assuming isospin invariance for B** with masses
+# > 1 pion mass above B*.
+# ----------------------------------------------------------------
+Decay B_0*0
+0.3333 B*0 pi0 PHSP;
+0.6667 B*+ pi- PHSP;
+Enddecay
+
+Decay anti-B_0*0
+0.3333 anti-B*0 pi0 PHSP;
+0.6667 B*- pi+ PHSP;
+Enddecay
+
+Decay B_0*+
+0.3333 B*+ pi0 PHSP;
+0.6667 B*0 pi+ PHSP;
+Enddecay
+
+Decay B_0*-
+0.3333 B*- pi0 PHSP;
+0.6667 anti-B*0 pi- PHSP;
+Enddecay
+
+Decay B_10
+0.3333 B*0 pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.6667 B*+ pi- VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+Enddecay
+
+Decay anti-B_10
+0.3333 anti-B*0 pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.6667 B*- pi+ VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+Enddecay
+
+Decay B_1+
+0.3333 B*+ pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.6667 B*0 pi+ VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+Enddecay
+
+Decay B_1-
+0.3333 B*- pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.6667 anti-B*0 pi- VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+Enddecay
+
+Decay B'_10
+0.3333 B*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.6667 B*+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+
+Decay anti-B'_10
+0.3333 anti-B*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.6667 B*- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+
+Decay B'_1+
+0.3333 B*+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.6667 B*0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+
+Decay B'_1-
+0.3333 B*- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.6667 anti-B*0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+
+Decay B_2*0
+0.3333 B*0 pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.6667 B*+ pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+
+Decay anti-B_2*0
+0.3333 anti-B*0 pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.6667 B*- pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+
+Decay B_2*+
+0.3333 B*+ pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.6667 B*0 pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+
+Decay B_2*-
+0.3333 B*- pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.6667 anti-B*0 pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+
+#
+# B_s decays.
+#
+#
+# To count up the BR for this decay:
+# awk ' /^0./{ sum = sum + 1 ;print sum } ' junk.dec
+#
+# anti-B_s decays.
+# -------------------------------------------------------
+# whb&fkw 3/28/01 Taken from fkw's QQ tables.
+# most dubious part are the B to baryons.
+# fkw 4/28/00 made the Bs parallel to the Bd as best as I could
+# -------------------------------------------------------
+#
+# Lange - Nov14 - NOT adjusted for D_s->phipi change
+#
+Decay anti-B_s0
+# b --> c (l nu)
+# Sum = 24.5%
+0.0210 D_s+ e- anti-nu_e PHOTOS ISGW2;
+0.0490 D_s*+ e- anti-nu_e PHOTOS ISGW2;
+0.0040 D_s1+ e- anti-nu_e PHOTOS ISGW2;
+0.0040 D_s0*+ e- anti-nu_e PHOTOS ISGW2;
+0.0070 D'_s1+ e- anti-nu_e PHOTOS ISGW2;
+0.0070 D_s2*+ e- anti-nu_e PHOTOS ISGW2;
+#
+0.0210 D_s+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0490 D_s*+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0040 D_s1+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0040 D_s0*+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0070 D'_s1+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0070 D_s2*+ mu- anti-nu_mu PHOTOS ISGW2;
+#
+#0.0070 D_s+ tau- anti-nu_tau ISGW2;
+#0.0150 D_s*+ tau- anti-nu_tau ISGW2;
+#0.0013 D_s1+ tau- anti-nu_tau ISGW2;
+#0.0013 D_s0*+ tau- anti-nu_tau ISGW2;
+#0.0023 D'_s1+ tau- anti-nu_tau ISGW2;
+#0.0023 D_s2*+ tau- anti-nu_tau ISGW2;
+# fkw 5/04/01 changed the above to account for the non-res part that I
+# had to take out.
+0.0080 D_s+ tau- anti-nu_tau ISGW2;
+0.0160 D_s*+ tau- anti-nu_tau ISGW2;
+0.0018 D_s1+ tau- anti-nu_tau ISGW2;
+0.0018 D_s0*+ tau- anti-nu_tau ISGW2;
+0.0028 D'_s1+ tau- anti-nu_tau ISGW2;
+0.0028 D_s2*+ tau- anti-nu_tau ISGW2;
+#
+# fkw 4/28/00 the next few are decays where a u\bar u or d\bar d is popped
+# between the charm quark and the spectator. I can thus not
+# just replace a D by a Ds as above when going from Bd to Bs.
+# fkw 5/04/01 Had to take these out because they crash EvtGen.
+# Will have to fix this eventually !!!
+#0.0010 D*0 K+ tau- anti-nu_tau GOITY_ROBERTS;
+#0.0010 D*+ K0 tau- anti-nu_tau GOITY_ROBERTS;
+#0.0010 D0 K+ tau- anti-nu_tau GOITY_ROBERTS;
+#0.0010 D+ K0 tau- anti-nu_tau GOITY_ROBERTS;
+# fkw 4/28/00 B0B -> TAU D PI0 = 1/2 of TAU D PI+ because of pi0 wave function
+# However, the same factor of 1/2 doesn't apply to BSB !!!
+#
+# fkw 3/28/01 There seem to be no semi-leptonic B to baryon decays in nature.
+# I don't pretend to understand why. PDG 2000 has a limit of
+# < 3.2e-3 where one might naively expect
+# 10% * BR(B->/\c) = 0.1 * (6.4+-1.1)%
+#0.0050 anti-nu_e e- ??? Baryon
+#0.0050 anti-nu_mu mu- ??? Baryon
+#
+# b --> c (s c=)
+# Sum = 11.44%
+# 2-body = 4.72%
+# more-body = 6.72%
+0.0086 D_s- D_s+ PHSP;
+0.0090 D_s*- D_s+ SVS;#2007 changed BR
+0.0090 D_s*+ D_s- SVS;
+
+0.0197 D_s*- D_s*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# fkw 4/28/00 more states with popped q\bar q.
+# The one's here involve only popped and spectator.
+# Popping stuff in the cs from the W comes further below.
+# The same isospin comment applies here as above in the
+# semi-leptonic decays with tau and popped q\bar q.
+0.0096 D_s- D+ K0 PHSP;
+0.0096 D_s- anti-D0 K+ PHSP;
+0.0096 D_s*- D+ K0 PHSP;
+0.0096 D_s*- D0 K+ PHSP;
+#
+0.0024 D_s- D+ pi0 K0 PHSP;
+0.0048 D_s- D0 pi+ K0 PHSP;
+0.0048 D_s- D+ pi- K+ PHSP;
+0.0024 D_s- D0 pi0 K+ PHSP;
+#
+0.0024 D_s*- D+ pi0 K0 PHSP;
+0.0048 D_s*- D0 pi+ K0 PHSP;
+0.0048 D_s*- D+ pi- K+ PHSP;
+0.0024 D_s*- D0 pi0 K+ PHSP;
+#
+#
+# b --> (c ) (c ) (s )
+# Sum = 8.0%
+# DDK amplitudes R.A.Briere 10/97
+# fkw 4/28/00 these are q\bar q popping that don't involve the spectator
+# Bd->Bs just involves switching the c\bar d to c\bar s.
+#
+0.0150 D_s*+ anti-D*0 K- PHSP;
+0.0150 D_s*+ D*- anti-K0 PHSP;
+#
+0.0050 D_s*+ anti-D0 K- PHSP;
+0.0050 D_s*+ D- anti-K0 PHSP;
+#
+0.0050 D_s+ anti-D*0 K- PHSP;
+0.0050 D_s+ D*- anti-K0 PHSP;
+#
+0.0020 D_s+ anti-D0 K- PHSP;
+0.0020 D_s+ D- anti-K0 PHSP;
+#
+0.0030 D_s*+ anti-D*0 K*- PHSP;
+0.0030 D_s*+ D*- anti-K*0 PHSP;
+#
+0.0050 D_s*+ anti-D0 K*- PHSP;
+0.0050 D_s*+ D- anti-K*0 PHSP;
+#
+0.0025 D_s+ anti-D*0 K*- PHSP;
+0.0025 D_s+ D*- anti-K*0 PHSP;
+#
+0.0025 D_s+ anti-D0 K*- PHSP;
+0.0025 D_s+ D- anti-K*0 PHSP;
+#
+#
+# b --> c (d c=)
+# Sum = 1.0%
+0.0017 D_s- D+ PHSP;
+0.0017 D*+ D_s- SVS;
+0.0017 D_s*- D+ SVS;
+0.0017 D_s*- D*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# fkw 4/38/00 more popping at the lower vertex
+# but with upper vertex cabbibo suppressed.
+0.0007 D- D+ K0 PHSP;
+0.0007 D- anti-D0 K+ PHSP;
+0.0007 D*- D+ K0 PHSP;
+0.0007 D*- D0 K+ PHSP;
+#
+0.0003 D- D+ pi0 K0 PHSP;
+0.0007 D- D0 pi+ K0 PHSP;
+0.0003 D- D+ pi- K+ PHSP;
+0.0007 D- D0 pi0 K+ PHSP;
+#
+0.0003 D*- D+ pi0 K0 PHSP;
+0.0007 D*- D0 pi+ K0 PHSP;
+0.0003 D*- D+ pi- K+ PHSP;
+0.0007 D*- D0 pi0 K+ PHSP;
+#
+# b --> c (s u=)
+# exclusive
+# Sum = 0.09%
+0.00015 D_s*+ K- SVS;
+0.00015 D_s+ K- PHSP;
+0.00030 D_s*+ K*- SVV_HELAMP 0.228 0.0 0.932 0.0 0.0283 0.0;
+0.00030 K*- D_s+ SVS;
+#
+# fkw 4/28/00 Strategy for charmonium modes:
+# Take Bd BR's, replace spectator,
+# assume etaprime = 2/3 ss
+# and eta = 1/3 ss
+#
+# Note: Just for kicks I gave the c\bar c decays a small piece that is
+# self tagging. See if you can find it. This is already in
+# the B0 decays in cleo's version of decay.dec .
+#
+# B --> (c c=) (s s=)
+# 2.65%
+# should be: psi = 0.80% CLNS 94/1315 but isn't quite right.
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi anti-K0 K+ pi- PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+#
+# psi' = 0.34% CLNS 94/1315
+#
+0.000465 psi(2S) eta' SVS;
+0.000235 psi(2S) eta SVS;
+0.0012 psi(2S) phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0003 psi(2S) K- K+ PHSP;
+0.0003 psi(2S) anti-K0 K0 PHSP;
+0.0003 psi(2S) anti-K0 K+ pi- PHSP;
+0.0003 psi(2S) anti-K0 K0 pi0 PHSP;
+0.0003 psi(2S) K- K+ pi0 PHSP;
+#
+# chic0 = 0.05% (20% of chic2)
+# Bodwin et.al. Phys Rev D46 1992
+0.00010 chi_c0 eta' PHSP;
+0.00005 chi_c0 eta PHSP;
+0.00020 phi chi_c0 SVS;
+0.00003 chi_c0 K- K+ PHSP;
+0.00003 chi_c0 anti-K0 K0 PHSP;
+0.00003 chi_c0 anti-K0 K+ pi- PHSP;
+0.00003 chi_c0 anti-K0 K0 pi0 PHSP;
+0.00003 chi_c0 K- K+ pi0 PHSP;
+#
+#
+# chic1 = 0.37% CLNS 94/1315
+0.0007 chi_c1 eta' SVS;
+0.0003 chi_c1 eta SVS;
+0.0014 chi_c1 phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00026 chi_c1 K- K+ PHSP;
+0.00026 chi_c1 anti-K0 K0 PHSP;
+0.00026 chi_c1 anti-K0 K+ pi- PHSP;
+0.00026 chi_c1 anti-K0 K0 pi0 PHSP;
+0.00026 chi_c1 K- K+ pi0 PHSP;
+#
+#
+# chic2 = 0.25% CLNS 94/1315
+0.000465 chi_c2 eta' STS;
+0.000235 chi_c2 eta STS;
+#0.0010 chi_c2 phi STV; whb: model doesn't exist!
+0.00016 chi_c2 K- K+ PHSP;
+0.00016 chi_c2 anti-K0 K0 PHSP;
+0.00016 chi_c2 anti-K0 K+ pi- PHSP;
+0.00016 chi_c2 anti-K0 K0 pi0 PHSP;
+0.00016 chi_c2 K- K+ pi0 PHSP;
+#
+#
+# etac(1s) = 0.41% Guess: CBX 97-65
+#
+0.0008 eta_c eta' PHSP;
+0.0004 eta_c eta PHSP;
+0.0015 phi eta_c SVS;
+0.00028 eta_c K- K+ PHSP;
+0.00028 eta_c anti-K0 K0 PHSP;
+0.00028 eta_c anti-K0 K+ pi- PHSP;
+0.00028 eta_c anti-K0 K0 pi0 PHSP;
+0.00028 eta_c K- K+ pi0 PHSP;
+#
+#
+# etac(2s) = 0.18% Guess: CBX 97-65
+0.0004 eta_c(2S) eta' PHSP;
+0.0002 eta_c(2S) eta PHSP;
+0.0006 phi eta_c(2S) SVS;
+0.00012 eta_c(2S) K- K+ PHSP;
+0.00012 eta_c(2S) anti-K0 K0 PHSP;
+0.00012 eta_c(2S) anti-K0 K+ pi- PHSP;
+0.00012 eta_c(2S) anti-K0 K0 pi0 PHSP;
+0.00012 eta_c(2S) K- K+ pi0 PHSP;
+#
+#
+# hc = 0.25% (100% of chic2)
+# Bodwin et.al. Phys Rev D46 1992
+#
+0.000465 h_c eta' SVS;
+0.000235 h_c eta SVS;
+0.0010 h_c phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00016 h_c K- K+ PHSP;
+0.00016 h_c anti-K0 K0 PHSP;
+0.00016 h_c anti-K0 K+ pi- PHSP;
+0.00016 h_c anti-K0 K0 pi0 PHSP;
+0.00016 h_c K- K+ pi0 PHSP;
+#
+#
+# b --> c (d u=)
+# Exclusive Channels = 6.33%
+# fkw 4/28/00 I rearanged this a bit after copying it from
+# B0B decay list.
+#
+# first come the external W-emission decays:
+#
+0.0008 D_s1+ pi- SVS;
+0.0021 D_s1+ rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0013 D_s2*+ pi- STS;
+#0.0037 D_s2*+ rho- STV; # whb: model doesn't exist
+#
+0.0027 D_s*+ pi- SVS;
+0.0026 D_s+ pi- PHSP;
+0.0073 rho- D_s+ SVS;
+0.0070 D_s*+ rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.0085 a_1- D_s+ SVS;
+0.0009 D_s+ rho0 pi- PHSP;
+0.0009 D_s+ rho- pi0 PHSP;
+0.0009 D_s+ pi+ pi- pi- PHSP;
+0.0009 D_s+ pi0 pi- pi0 PHSP;
+#
+0.0122 D_s*+ a_1- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0010 D_s*+ rho0 pi- PHSP;
+0.0010 D_s*+ rho- pi0 PHSP;
+0.0077 D_s*+ pi+ pi- pi- PHSP;
+0.0010 D_s*+ pi0 pi- pi0 PHSP;
+#
+# then the color suppressed decays:
+#
+# fkw 4/28/00 color suppressed modes bumped up by factor 2 from isospin
+# i.e. Bs doesn't have the factor 2 suppression Bd has.
+0.0002 D*0 K0 SVS;
+0.0002 D0 K0 PHSP;
+0.0002 K*0 D0 SVS;
+0.0002 D*0 K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# fkw 4/28/00 ignore the internal W emission decays with additional
+# q\bar q popping.
+#
+# Here come the various types of "inclusive unknown" decays:
+#
+# Start with B to baryons:
+# fkw 3/28/01 I don't know what I'm doing here!!! This needs to be checked!!!
+0.0200 cs_0 anti-ud_0 PYTHIA 23;
+0.0400 cs_1 anti-ud_1 PYTHIA 23;
+#
+# Next come external W-emission:
+0.3138 anti-u d c anti-s PYTHIA 48;
+0.05000 anti-u d c anti-s PYTHIA 25;
+# Now the internal W-emission:
+0.02000 anti-u c d anti-s PYTHIA 48;
+# Then some b->u external W-emission with upper vertex charm
+0.00400 anti-c s u anti-s PYTHIA 48;
+# and finally some cabibbo suppressed external and internal W-emission
+0.0150 anti-u s c anti-s PYTHIA 48;
+0.00220 anti-u s c anti-s PYTHIA 25;
+0.00090 anti-u c s anti-s PYTHIA 48;
+# and some c cbar d stuff as well as c cbar s
+0.00600 anti-c d c anti-s PYTHIA 13;
+0.00200 anti-c d c anti-s PYTHIA 13;
+# and some miscellaneous charmless stuff
+0.00410 anti-u u d anti-s PYTHIA 48;
+0.00007 anti-d d d anti-s PYTHIA 48;
+0.00009 anti-s s d anti-s PYTHIA 48;
+0.00220 anti-u u s anti-s PYTHIA 48;
+0.00180 anti-d d s anti-s PYTHIA 48;
+0.00150 anti-s s s anti-s PYTHIA 48;
+0.00500 s g anti-s PYTHIA 33;
+
+# fkw 5/10/00 the b->ulnu decays are loosely modelled according to B0 in EvtGen
+0.000200 K+ e- anti-nu_e PHOTOS ISGW2;
+0.000300 K*+ e- anti-nu_e PHOTOS ISGW2;
+0.000300 K_1+ e- anti-nu_e PHOTOS ISGW2;
+0.000200 K'_1+ e- anti-nu_e PHOTOS ISGW2;
+#
+#
+0.000200 K+ mu- anti-nu_mu PHOTOS ISGW2;
+0.000300 K*+ mu- anti-nu_mu PHOTOS ISGW2;
+0.000300 K_1+ mu- anti-nu_mu PHOTOS ISGW2;
+0.000200 K'_1+ mu- anti-nu_mu PHOTOS ISGW2;
+# -------------
+# 2e-3 for charmless semi-leptonic
+
+#***********************************************************
+#
+# fkw 5/10/00
+#
+# ideas behind these (largely) made up Br's for charmless
+# hadronic B decays:
+# (1) any PP and PV modes that are used or calculated
+# in globfit code by Hou,Smith,Wuerthwein are taken from
+# the latest fit i.e. May2000
+# (2) anything else is from Ali,Kramer,Lue
+#
+# None of this should be taken too serious!
+#
+#***********************************************************
+0.0000193 K- K+ PHSP;
+0.0000079 anti-K0 K0 PHSP;
+0.0000043 pi- K+ PHSP;
+0.0000002 pi0 K0 PHSP;
+#
+0.0000012 omega eta SVS;
+0.0000025 omega eta' SVS;
+0.00000008 omega anti-K0 SVS;
+0.000000002 phi anti-K0 SVS;
+#
+#next is just twice PI- RHO0
+0.0000250 K*+ pi- SVS;
+0.0000120 rho- K+ SVS;
+0.00000002 rho0 K0 SVS;
+0.00000002 K*0 pi0 SVS;
+#
+0.0000046 K*- K+ SVS;
+0.0000005 anti-K*0 K0 SVS;
+0.0000082 K*+ K- SVS;
+0.0000066 K*0 anti-K0 SVS;
+#
+0.0000580 eta' eta' PHSP;
+0.0000250 eta' eta PHSP;
+0.0000040 eta eta PHSP;
+0.0000200 phi eta SVS;
+0.0000100 phi eta' SVS;
+#
+#next comes stuff from Ali,Kramer,Lue PRD58, 094009 FOR NC=3
+0.00000007 K0 eta' PHSP;
+0.00000023 K0 eta PHSP;
+0.000000021 K*0 eta' SVS;
+0.00000007 K*0 eta SVS;
+#
+#next comes stuff from Ali,Kramer,Lue PRD58, 094009 FOR NC=3
+# for vector-vector final states
+0.000020 rho- K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0000008 rho0 K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000000005 omega K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.000006 K*- K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000005 anti-K*0 K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000008 phi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# decays that go via b->d penguins
+0.0000004 phi K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#--------------
+# 257.122e-6 for all the charmless hadronic
+#
+Enddecay
+#
+# B_s decays.
+# -------------------------------------------------------
+# whb&fkw 3/28/01 Taken from fkw's QQ tables.
+# most dubious part are the B to baryons.
+# fkw 4/28/00 made the Bs parallel to the Bd as best as I could
+# -------------------------------------------------------
+Decay B_s0
+0.0210 D_s- e+ nu_e PHOTOS ISGW2;
+0.0490 D_s*- e+ nu_e PHOTOS ISGW2;
+0.0040 D_s1- e+ nu_e PHOTOS ISGW2;
+0.0040 D_s0*- e+ nu_e PHOTOS ISGW2;
+0.0070 D'_s1- e+ nu_e PHOTOS ISGW2;
+0.0070 D_s2*- e+ nu_e PHOTOS ISGW2;
+0.0210 D_s- mu+ nu_mu PHOTOS ISGW2;
+0.0490 D_s*- mu+ nu_mu PHOTOS ISGW2;
+0.0040 D_s1- mu+ nu_mu PHOTOS ISGW2;
+0.0040 D_s0*- mu+ nu_mu PHOTOS ISGW2;
+0.0070 D'_s1- mu+ nu_mu PHOTOS ISGW2;
+0.0070 D_s2*- mu+ nu_mu PHOTOS ISGW2;
+#fkw 5/04/01 changed these to account for taking out non-res
+#0.0070 D_s- tau+ nu_tau ISGW2;
+#0.0150 D_s*- tau+ nu_tau ISGW2;
+#0.0013 D_s1- tau+ nu_tau ISGW2;
+#0.0013 D_s0*- tau+ nu_tau ISGW2;
+#0.0023 D'_s1- tau+ nu_tau ISGW2;
+#0.0023 D_s2*- tau+ nu_tau ISGW2;
+0.0080 D_s- tau+ nu_tau ISGW2;
+0.0160 D_s*- tau+ nu_tau ISGW2;
+0.0018 D_s1- tau+ nu_tau ISGW2;
+0.0018 D_s0*- tau+ nu_tau ISGW2;
+0.0028 D'_s1- tau+ nu_tau ISGW2;
+0.0028 D_s2*- tau+ nu_tau ISGW2;
+#
+# fkw 4/28/00 the next few are decays where a u\bar u or d\bar d is popped
+# between the charm quark and the spectator. I can thus not
+# just replace a D by a Ds as above when going from Bd to Bs.
+#
+# fkw 5/04/01 Had to take non-res out because it crashed EvtGen.
+#0.0010 anti-D*0 K- tau+ nu_tau GOITY_ROBERTS;
+#0.0010 D*- anti-K0 tau+ nu_tau GOITY_ROBERTS;
+#0.0010 anti-D0 K- tau+ nu_tau GOITY_ROBERTS;
+#0.0010 D- anti-K0 tau+ nu_tau GOITY_ROBERTS;
+# fkw 4/28/00 B0 -> TAU D PI0 = 1/2 of TAU D PI- because of pi0 wave function
+# However, the same factor of 1/2 doesn't apply to BS0 !!!
+# fkw 3/28/01 There seem to be no semi-leptonic B to baryon decays in nature.
+# I don't pretend to understand why. PDG 2000 has a limit of
+# < 3.2e-3 where one might naively expect
+# 10% * BR(B->/\c) = 0.1 * (6.4+-1.1)%
+#0.0050 nu_e e+ B-Baryon
+#0.0050 nu_mu mu+ B-Baryon
+#
+# b --> c (s c=)
+# Sum = 11.44%
+# 2-body = 4.72%
+# more-body = 6.72%
+0.0086 D_s- D_s+ PHSP;
+0.0090 D_s*+ D_s- SVS;
+0.0090 D_s*- D_s+ SVS;#2007 changed BR
+0.0197 D_s*- D_s*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# fkw 4/28/00 more states with popped q\bar q.
+# The one's here involve only popped and spectator.
+# Popping stuff in the cs from the W comes further below.
+# The same isospin comment applies here as above in the
+# semi-leptonic decays with tau and popped q\bar q.
+0.0096 D_s+ D- anti-K0 PHSP;
+0.0096 D_s+ D0 K- PHSP;
+0.0096 D_s*+ D- anti-K0 PHSP;
+0.0096 D_s*+ anti-D0 K- PHSP;
+#
+0.0024 D_s+ D- pi0 anti-K0 PHSP;
+0.0048 D_s+ anti-D0 pi- anti-K0 PHSP;
+0.0048 D_s+ D- pi+ K- PHSP;
+0.0024 D_s+ anti-D0 pi0 K- PHSP;
+#
+0.0024 D_s*+ D- pi0 anti-K0 PHSP;
+0.0048 D_s*+ anti-D0 pi- anti-K0 PHSP;
+0.0048 D_s*+ D- pi+ K- PHSP;
+0.0024 D_s*+ anti-D0 pi0 K- PHSP;
+#
+#
+# b --> (c ) (c ) (s )
+# Sum = 8.0%
+# DDK amplitudes R.A.Briere 10/97
+# fkw 4/28/00 these are q\bar q popping that don't involve the spectator
+# Bd->Bs just involves switching the c\bar d to c\bar s.
+#
+0.0150 D_s*- D*0 K+ PHSP;
+0.0150 D_s*- D*+ K0 PHSP;
+0.0050 D_s*- D0 K+ PHSP;
+0.0050 D_s*- D+ K0 PHSP;
+0.0050 D_s- D*0 K+ PHSP;
+0.0050 D_s- D*+ K0 PHSP;
+0.0020 D_s- D0 K+ PHSP;
+0.0020 D_s- D+ K0 PHSP;
+0.0030 D_s*- D*0 K*+ PHSP;
+0.0030 D_s*- D*+ K*0 PHSP;
+0.0050 D_s*- D0 K*+ PHSP;
+0.0050 D_s*- D+ K*0 PHSP;
+0.0025 D_s- D*0 K*+ PHSP;
+0.0025 D_s- D*+ K*0 PHSP;
+0.0025 D_s- D0 K*+ PHSP;
+0.0025 D_s- D+ K*0 PHSP;
+#
+#
+# b --> c (d c=)
+# Sum = 1.36%
+0.0017 D_s+ D- PHSP;
+0.0017 D*- D_s+ SVS;
+0.0017 D_s*+ D- SVS;
+0.0017 D_s*+ D*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# fkw 4/38/00 more popping at the lower vertex
+# but with upper vertex cabbibo suppressed.
+0.0007 D+ D- anti-K0 PHSP;
+0.0007 D+ D0 K- PHSP;
+0.0007 D*+ D- anti-K0 PHSP;
+0.0007 D*+ anti-D0 K- PHSP;
+#
+0.0003 D+ D- pi0 anti-K0 PHSP;
+0.0007 D+ anti-D0 pi- anti-K0 PHSP;
+0.0003 D+ D- pi+ K- PHSP;
+0.0007 D+ anti-D0 pi0 K- PHSP;
+#
+0.0003 D*+ D- pi0 anti-K0 PHSP;
+0.0007 D*+ anti-D0 pi- anti-K0 PHSP;
+0.0003 D*+ D- pi+ K- PHSP;
+0.0007 D*+ anti-D0 pi0 K- PHSP;
+#
+# b --> c (u s=)
+# exclusive
+# Sum = 0.9%
+0.00015 D_s*- K+ SVS;
+0.00015 D_s- K+ PHSP;
+0.00030 D_s*- K*+ SVV_HELAMP 0.0283 0.0 0.932 0.0 0.228 0.0;
+0.00030 K*+ D_s- SVS;
+#
+# fkw 4/28/00 Strategy for charmonium modes:
+# Take Bd BR's, replace spectator,
+# assume etaprime = 2/3 ss
+# and eta = 1/3 ss
+#
+# Note: Just for kicks I gave the c\bar c decays a small piece that is
+# self tagging. See if you can find it. This is already in
+# the B0 decays in cleo's version of decay.dec .
+#
+# B --> (c c=) (s s=)
+# 2.65%
+# should be: psi = 0.80% CLNS 94/1315 but isn't quite right.
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi anti-K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi K0 K- pi+ PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+# psi' = 0.34% CLNS 94/1315
+0.000465 psi(2S) eta' SVS;
+0.000235 psi(2S) eta SVS;
+0.0012 psi(2S) phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0003 psi(2S) K- K+ PHSP;
+0.0003 psi(2S) anti-K0 K0 PHSP;
+0.0003 psi(2S) K0 K- pi+ PHSP;
+0.0003 psi(2S) anti-K0 K0 pi0 PHSP;
+0.0003 psi(2S) K- K+ pi0 PHSP;
+#
+# chic0 = 0.05% (20% of chic2)
+# Bodwin et.al. Phys Rev D46 1992
+0.00010 chi_c0 eta' PHSP;
+0.00005 chi_c0 eta PHSP;
+0.00020 phi chi_c0 SVS;
+0.00003 chi_c0 K- K+ PHSP;
+0.00003 chi_c0 anti-K0 K0 PHSP;
+0.00003 chi_c0 K0 K- pi+ PHSP;
+0.00003 chi_c0 anti-K0 K0 pi0 PHSP;
+0.00003 chi_c0 K- K+ pi0 PHSP;
+#
+#
+# chic1 = 0.37% CLNS 94/1315
+0.0007 chi_c1 eta' SVS;
+0.0003 chi_c1 eta SVS;
+0.0014 chi_c1 phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00026 chi_c1 K- K+ PHSP;
+0.00026 chi_c1 anti-K0 K0 PHSP;
+0.00026 chi_c1 K0 K- pi+ PHSP;
+0.00026 chi_c1 anti-K0 K0 pi0 PHSP;
+0.00026 chi_c1 K- K+ pi0 PHSP;
+#
+#
+# chic2 = 0.25% CLNS 94/1315
+0.000465 chi_c2 eta' STS;
+0.000235 chi_c2 eta STS;
+#0.0010 chi_c2 phi STV; whb: doesn't exist
+0.00016 chi_c2 K- K+ PHSP;
+0.00016 chi_c2 anti-K0 K0 PHSP;
+0.00016 chi_c2 K0 K- pi+ PHSP;
+0.00016 chi_c2 anti-K0 K0 pi0 PHSP;
+0.00016 chi_c2 K- K+ pi0 PHSP;
+#
+#
+# etac(1s) = 0.41% Guess: CBX 97-65
+0.0008 eta_c eta' PHSP;
+0.0004 eta_c eta PHSP;
+0.0015 phi eta_c SVS;
+0.00028 eta_c K- K+ PHSP;
+0.00028 eta_c K0 anti-K0 PHSP;
+0.00028 eta_c K0 K- pi+ PHSP;
+0.00028 eta_c K0 anti-K0 pi0 PHSP;
+0.00028 eta_c K- K+ pi0 PHSP;
+#
+#
+# etac(2s) = 0.18% Guess: CBX 97-65
+0.0004 eta_c(2S) eta' PHSP;
+0.0002 eta_c(2S) eta PHSP;
+0.0006 phi eta_c(2S) SVS;
+0.00012 eta_c(2S) K- K+ PHSP;
+0.00012 eta_c(2S) anti-K0 K0 PHSP;
+0.00012 eta_c(2S) K0 K- pi+ PHSP;
+0.00012 eta_c(2S) anti-K0 K0 pi0 PHSP;
+0.00012 eta_c(2S) K- K+ pi0 PHSP;
+#
+#
+# hc = 0.25% (100% of chic2)
+# Bodwin et.al. Phys Rev D46 1992
+0.000465 h_c eta' SVS;
+0.000235 h_c eta SVS;
+0.0010 h_c phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00016 h_c K- K+ PHSP;
+0.00016 h_c anti-K0 K0 PHSP;
+0.00016 h_c K0 K- pi+ PHSP;
+0.00016 h_c anti-K0 K0 pi0 PHSP;
+0.00016 h_c K- K+ pi0 PHSP;
+#
+#
+# b --> c (d u=)
+# Exclusive Channels = 6.33%
+# fkw 4/28/00 I rearanged this a bit after copying it from
+# B0B decay list.
+#
+# first come the external W-emission decays:
+#
+0.0008 D_s1- pi+ SVS;
+0.0021 D_s1- rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0013 D_s2*- pi+ STS;
+#0.0037 D_s2*- rho+ STV; #whb: STV does not exist yet
+#
+0.0027 D_s*- pi+ SVS;
+0.0026 D_s- pi+ PHSP;
+0.0073 rho+ D_s- SVS;
+0.0070 D_s*- rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.0085 a_1+ D_s- SVS;
+0.0009 D_s- rho0 pi+ PHSP;
+0.0009 D_s- rho+ pi0 PHSP;
+0.0009 D_s- pi- pi+ pi+ PHSP;
+0.0009 D_s- pi0 pi+ pi0 PHSP;
+#
+0.0122 D_s*- a_1+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0010 D_s*- rho0 pi+ PHSP;
+0.0010 D_s*- rho+ pi0 PHSP;
+0.0077 D_s*- pi- pi+ pi+ PHSP;
+0.0010 D_s*- pi0 pi+ pi0 PHSP;
+#
+# then the color suppressed decays:
+#
+# fkw 4/28/00 color suppressed modes bumped up by factor 2 from isospin
+# i.e. Bs doesn't have the factor 2 suppression Bd has.
+0.0002 anti-D*0 anti-K0 SVS;
+0.0002 anti-D0 anti-K0 PHSP;
+0.0002 anti-K*0 anti-D0 SVS;
+0.0002 anti-D*0 anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# fkw 4/28/00 ignore the internal W emission decays with additional
+# q\bar q popping.
+#
+# Here come the various types of "inclusive unknown" decays:
+#
+# Start with B to baryons:
+# fkw 3/28/01 I don't know what I'm doing here!!! This needs to be checked!!!
+0.0200 anti-cs_0 ud_0 PYTHIA 23;
+0.0400 anti-cs_1 ud_1 PYTHIA 23;
+#
+# Next come external W-emission:
+0.3138 u anti-d anti-c s PYTHIA 48;
+0.05000 u anti-d anti-c s PYTHIA 25;
+# Now the internal W-emission:
+0.02000 u anti-c anti-d s PYTHIA 48;
+# Then some b->u external W-emission with upper vertex charm
+0.00400 c anti-s anti-u s PYTHIA 48;
+# and finally some cabibbo suppressed external and internal W-emission
+0.0150 u anti-s anti-c s PYTHIA 48;
+0.00220 u anti-s anti-c s PYTHIA 25;
+0.00090 u anti-c anti-s s PYTHIA 48;
+# and some c cbar d stuff as well as c cbar s
+0.00600 c anti-d anti-c s PYTHIA 13;
+0.00200 c anti-d anti-c s PYTHIA 13;
+# and some miscellaneous charmless stuff
+0.00410 u anti-u anti-d s PYTHIA 48;
+0.00007 d anti-d anti-d s PYTHIA 48;
+0.00009 s anti-s anti-d s PYTHIA 48;
+0.00220 u anti-u anti-s s PYTHIA 48;
+0.00180 d anti-d anti-s s PYTHIA 48;
+0.00150 s anti-s anti-s s PYTHIA 48;
+0.00500 anti-s g s PYTHIA 33;
+
+# fkw 5/10/00 the b->ulnu decays are loosely modelled according to B0 in EvtGen
+0.000200 K- e+ nu_e PHOTOS ISGW2;
+0.000300 K*- e+ nu_e PHOTOS ISGW2;
+0.000300 K_1- e+ nu_e PHOTOS ISGW2;
+0.000200 K'_1- e+ nu_e PHOTOS ISGW2;
+#
+#
+0.000200 K- mu+ nu_mu PHOTOS ISGW2;
+0.000300 K*- mu+ nu_mu PHOTOS ISGW2;
+0.000300 K_1- mu+ nu_mu PHOTOS ISGW2;
+0.000200 K'_1- mu+ nu_mu PHOTOS ISGW2;
+# -------------
+# 2e-3 for charmless semi-leptonic
+
+#***********************************************************
+#
+# fkw 5/10/00
+#
+# ideas behind these (largely) made up Br's for charmless
+# hadronic B decays:
+# (1) any PP and PV modes that are used or calculated
+# in globfit code by Hou,Smith,Wuerthwein are taken from
+# the latest fit i.e. May2000
+# (2) anything else is from Ali,Kramer,Lue
+#
+# None of this should be taken too serious!
+#
+#***********************************************************
+0.0000193 K- K+ PHSP;
+0.0000079 anti-K0 K0 PHSP;
+0.0000043 pi+ K- PHSP;
+0.0000002 pi0 anti-K0 PHSP;
+#
+0.0000012 omega eta SVS;
+0.0000025 omega eta' SVS;
+0.00000008 omega K0 SVS;
+0.000000002 phi K0 SVS;
+#
+0.0000250 K*- pi+ SVS;
+0.0000120 rho+ K- SVS;
+0.00000002 rho0 anti-K0 SVS;
+0.00000002 anti-K*0 pi0 SVS;
+#
+0.0000046 K*+ K- SVS;
+0.0000005 K*0 anti-K0 SVS;
+0.0000082 K*- K+ SVS;
+0.0000066 anti-K*0 K0 SVS;
+#
+0.0000580 eta' eta' PHSP;
+0.0000250 eta' eta PHSP;
+0.0000040 eta eta PHSP;
+0.0000200 phi eta SVS;
+0.0000100 phi eta' SVS;
+#
+#next comes stuff from Ali,Kramer,Lue PRD58, 094009 FOR NC=3
+0.00000007 anti-K0 eta' PHSP;
+0.00000023 anti-K0 eta PHSP;
+0.000000021 anti-K*0 eta' SVS;
+0.00000007 anti-K*0 eta SVS;
+#
+#next comes stuff from Ali,Kramer,Lue PRD58, 094009 FOR NC=3
+# for vector-vector final states
+0.000020 rho+ K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0000008 rho0 anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000000005 omega anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.000006 K*- K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000005 anti-K*0 K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.000008 phi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# decays that go via b->d penguins
+0.0000004 phi anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#--------------
+# 257.122e-6 for all the charmless hadronic
+#
+Enddecay
+
+Decay B_s*0
+1.0000 B_s0 gamma VSP_PWAVE;
+Enddecay
+
+Decay anti-B_s*0
+1.0000 anti-B_s0 gamma VSP_PWAVE;
+Enddecay
+
+
+# whb: QQ B_c included. Needs more work!
+#Decay B_c-
+#CHANNEL 0 0.0700 TAU- NUTB
+#CHANNEL 1 0.1100 NUEB E- *CC*
+#CHANNEL 1 0.1100 NUMB MU- *CC*
+#CHANNEL 1 0.0300 NUTB TAU- *CC*
+#CHANNEL 0 0.3400 *DU* *CC*
+#CHANNEL 0 0.0700 *SC* *CC*
+#CHANNEL 0 0.2700 *SC*
+#0.0700 tau- anti-nu_tau PHSP;
+#0.1100 anti-nu_e e- *CC* Simpleleptonic;
+#0.1100 anti-nu_mu mu- *CC* Simple leptonic;
+#0.0300 anti-nu_tau tau- *CC* Simple leptonic;
+#0.3400 *DU* *CC* PHSP;
+#0.0700 *SC* *CC* PHSP;
+#0.2700 *SC* PHSP;
+#Enddecay
+#
+#Decay B_c+
+#CHANNEL 0 0.0700 TAU+ NUT
+#CHANNEL 1 0.1100 NUE E+ *CC*
+#CHANNEL 1 0.1100 NUM MU+ *CC*
+#CHANNEL 1 0.0300 NUT TAU+ *CC*
+#CHANNEL 0 0.3400 *UD* *CC*
+#CHANNEL 0 0.0700 *CS* *CC*
+#CHANNEL 0 0.2700 *CS*
+#0.0700 tau+ nu_tau PHSP;
+#0.1100 nu_e E+ *CC* Simple leptonic;
+#0.1100 nu_mu mu+ *CC* Simple leptonic;
+#0.0300 nu_tau tau+ *CC* Simple leptonic;
+#0.3400 *UD* *CC* PHSP;
+#0.0700 *CS* *CC* PHSP;
+#0.2700 *CS* PHSP;
+#Enddecay
+
+#
+# The tau branching fractions needs to be looked over!
+#
+Decay tau-
+0.1778 e- anti-nu_e nu_tau PHOTOS TAULNUNU;
+0.1731 mu- anti-nu_mu nu_tau PHOTOS TAULNUNU;
+0.1095 pi- nu_tau TAUSCALARNU;
+0.2531 pi- pi0 nu_tau TAUHADNU -0.108 0.775 0.149 1.364 0.400;
+0.09234 pi- pi- pi+ nu_tau TAUHADNU -0.108 0.775 0.149 1.364 0.400 1.23 0.4;
+0.0910 pi0 pi0 pi- nu_tau TAUHADNU -0.108 0.775 0.149 1.364 0.400 1.23 0.4;
+#0.2515 rho- nu_tau TAUVECTORNU;
+#0.1790 a_1- nu_tau TAUVECTORNU;
+0.00686 K- nu_tau TAUSCALARNU;
+0.0134 K*- nu_tau TAUVECTORNU;
+0.0450 nu_tau pi- pi+ pi- pi0 PYTHIA 41;
+0.0100 nu_tau pi- pi0 pi0 pi0 PYTHIA 41;
+0.0015 nu_tau K- pi- K+ PYTHIA 41;
+0.0015 nu_tau K0 pi- anti-K0 PYTHIA 41;
+0.0015 nu_tau K- pi0 K0 PYTHIA 41;
+0.0005 nu_tau K- pi0 pi0 PYTHIA 41;
+0.0050 nu_tau K- pi+ pi- PYTHIA 41;
+0.0055 nu_tau pi- anti-K0 pi0 PYTHIA 41;
+0.0017 nu_tau eta pi- pi0 PYTHIA 41;
+0.0013 nu_tau gamma pi- pi0 PYTHIA 41;
+0.0009 nu_tau pi- pi- pi+ pi0 pi0 PHSP;
+0.0008 nu_tau pi- pi- pi- pi+ pi+ PHSP;
+0.0003 nu_tau pi- pi- pi- pi+ pi+ pi0 PHSP;
+0.0005 nu_tau pi- pi- pi+ pi0 pi0 pi0 PHSP;
+0.0010 nu_tau pi- pi0 pi0 pi0 pi0 PHSP;
+0.0039 nu_tau pi- omega pi0 PYTHIA 41;
+0.0010 nu_tau K- K0 PYTHIA 41;
+0.0010 nu_tau K- omega PYTHIA 41;
+Enddecay
+#
+CDecay tau+
+#
+# Vector Mesons
+#
+Decay D*+
+0.6830 D0 pi+ VSS;
+0.3060 D+ pi0 VSS;
+0.0110 D+ gamma VSP_PWAVE;
+Enddecay
+Decay D*-
+0.6830 anti-D0 pi- VSS;
+0.3060 D- pi0 VSS;
+0.0110 D- gamma VSP_PWAVE;
+Enddecay
+Decay D*0
+0.6190 D0 pi0 VSS;
+0.3810 D0 gamma VSP_PWAVE;
+Enddecay
+Decay anti-D*0
+0.6190 anti-D0 pi0 VSS;
+0.3810 anti-D0 gamma VSP_PWAVE;
+Enddecay
+#
+Decay D_s*+
+0.942 D_s+ gamma VSP_PWAVE;
+0.058 D_s+ pi0 VSS;
+Enddecay
+Decay D_s*-
+0.942 D_s- gamma VSP_PWAVE;
+0.058 D_s- pi0 VSS;
+Enddecay
+#
+#
+# D+ Meson
+#
+# Define model alias for the D -> K*lnu decays
+# This should correspond to MV=2.1 GeV, MA1=MA2=2.5 GeV,
+# R2=0.85 and RV=1.5
+#
+ModelAlias SLPOLE_DtoKstarlnu SLPOLE 1.00 -0.558 0.0 1.0
+ 0.85 -0.558 0.0 1.0
+ 1.50 -0.790 0.0 1.0
+ 0.00 -0.558 0.0 1.0;
+#
+# Model alias for the D -> rho l nu
+# MV=2.0 GeV and MA1=MA2=2.4 GeV, R2=0.6, RV=1.5
+#
+ModelAlias SLPOLE_Dtorholnu SLPOLE 1.00 -0.605 0.0 1.0
+ 0.60 -0.605 0.0 1.0
+ 1.50 -0.871 0.0 1.0
+ 0.00 -0.605 0.0 1.0;
+#
+# Model alias for the D -> omega l nu
+# MV=2.0 GeV and MA1=MA2=2.4 GeV, R2=0.6, RV=1.5
+#
+ModelAlias SLPOLE_Dtoomegalnu SLPOLE 1.00 -0.605 0.0 1.0
+ 0.60 -0.605 0.0 1.0
+ 1.50 -0.871 0.0 1.0
+ 0.00 -0.605 0.0 1.0;
+#
+# Model aliases for D -> Klnu, pilenu, etalnu, eta'lnu
+#
+ModelAlias SLBKPOLE_DtoKlnu SLBKPOLE 1.0 0.25 1.0 2.112;
+ModelAlias SLBKPOLE_Dtopilnu SLBKPOLE 1.0 0.25 1.0 2.010;
+ModelAlias SLBKPOLE_Dtoetalnu SLBKPOLE 1.0 0.25 1.0 2.010;
+ModelAlias SLBKPOLE_Dtoetaplnu SLBKPOLE 1.0 0.25 1.0 2.010;
+#
+Decay D+
+#
+#===================Semileptonic Decays=========================
+#
+0.0556 anti-K*0 e+ nu_e PHOTOS SLPOLE_DtoKstarlnu;
+0.0876 anti-K0 e+ nu_e PHOTOS SLBKPOLE_DtoKlnu;
+0.0033 anti-K_10 e+ nu_e PHOTOS ISGW2;
+0.0033 anti-K_2*0 e+ nu_e PHOTOS ISGW2;
+0.0018 K- pi+ e+ nu_e PHOTOS PHSP;
+0.0039 pi0 e+ nu_e PHOTOS SLBKPOLE_Dtopilnu;
+0.0013 eta e+ nu_e PHOTOS SLBKPOLE_Dtoetalnu;
+0.0002 eta' e+ nu_e PHOTOS SLBKPOLE_Dtoetaplnu;
+0.0023 rho0 e+ nu_e PHOTOS SLPOLE_Dtorholnu;
+0.0015 omega e+ nu_e PHOTOS SLPOLE_Dtoomegalnu;
+#
+# Sum of exclusive semi-electronic BFs = 16.08%
+#
+0.0545 anti-K*0 mu+ nu_mu PHOTOS SLPOLE_DtoKstarlnu;
+0.0858 anti-K0 mu+ nu_mu PHOTOS SLBKPOLE_DtoKlnu;
+0.0032 anti-K_10 mu+ nu_mu PHOTOS ISGW2;
+0.0032 anti-K_2*0 mu+ nu_mu PHOTOS ISGW2;
+0.0018 K- pi+ mu+ nu_mu PHOTOS PHSP;
+0.0038 pi0 mu+ nu_mu PHOTOS SLBKPOLE_Dtopilnu;
+0.0013 eta mu+ nu_mu PHOTOS SLBKPOLE_Dtoetalnu;
+0.0002 eta' mu+ nu_mu PHOTOS SLBKPOLE_Dtoetaplnu;
+0.0023 rho0 mu+ nu_mu PHOTOS SLPOLE_Dtorholnu;
+0.0015 omega mu+ nu_mu PHOTOS SLPOLE_Dtoomegalnu;
+#
+# Sum of exclusive semi-muonic BFs = 15.76%
+#
+0.00044 mu+ nu_mu PHOTOS SLN;
+0.00116 tau+ nu_tau SLN;
+#
+0.0147 K_S0 pi+ PHSP;
+0.0146 K_L0 pi+ PHSP;
+0.0720 a_1+ anti-K0 SVS;
+0.0540 anti-K'_10 pi+ SVS;
+0.0094 a_1+ anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0200 anti-K*0 rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+# the Dalitz mode below includes K*bar(892)0 pi+,
+# K*bar(1430)0 pi+, and K*bar(1680)0 pi+ resonances.
+0.0951 K- pi+ pi+ D_DALITZ;
+# the Dalitz mode below includes K0bar rho+,
+# and K*bar(892)0 pi+ resonances
+0.1400 anti-K0 pi+ pi0 D_DALITZ;
+0.0238 anti-K0 eta pi+ PHSP;
+0.0050 anti-K0 eta' pi+ PHSP;
+0.0012 anti-K0 rho0 pi+ PHSP;
+0.0040 anti-K0 omega pi+ PHSP;
+0.0101 K- rho+ pi+ PHSP;
+0.0195 anti-K*0 pi0 pi+ PHSP;
+0.0091 anti-K*0 eta pi+ PHSP;
+0.0035 anti-K*0 rho0 pi+ PHSP;
+0.0021 anti-K*0 omega pi+ PHSP;
+0.0003 K- rho0 pi+ pi+ PHSP;
+0.0042 K*- rho+ pi+ PHSP;
+0.0014 anti-K0 pi+ pi+ pi- PHSP;
+0.0134 anti-K0 pi+ pi0 pi0 PHSP;
+0.0004 K- pi+ pi+ pi+ pi- PHSP;
+0.0038 K- pi+ pi+ pi0 pi0 PHSP;
+0.0089 anti-K0 pi+ pi+ pi- pi0 PHSP;
+0.0006 anti-K0 pi+ pi0 pi0 pi0 PHSP;
+#
+0.01013 anti-K0 anti-K0 K+ PHSP;
+0.0005 K+ K- anti-K0 pi+ PHSP;
+0.00008 K+ K+ K- PHSP;
+#
+0.0065 phi pi+ SVS;
+0.0038 phi rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0059 anti-K0 K+ PHSP;
+0.0045 anti-K*0 K+ SVS;
+0.0055 anti-K_0*0 K+ PHSP;
+0.0320 K*+ anti-K0 SVS;
+0.0107 anti-K*0 K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0001 K+ K- pi+ PHSP;
+0.0034 anti-K0 K0 pi+ PHSP;
+0.0044 anti-K0 K0 pi+ pi0 PHSP;
+0.0035 K+ anti-K0 pi+ pi- PHSP;
+0.0002 K+ K- pi+ pi+ pi- PHSP;
+#
+0.0013 pi0 pi+ PHSP;
+0.0011 rho0 pi+ SVS;
+0.0008 f_2 pi+ STS;
+0.0004 f_0 pi+ PHSP;
+0.00155 pi+ pi+ pi- PHSP;
+0.0038 rho+ pi0 SVS;
+0.00067 pi+ pi0 pi0 PHSP;
+0.00295 rho0 rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00295 rho0 pi+ pi0 PHSP;
+0.00295 rho+ pi+ pi- PHSP;
+0.00116 pi+ pi+ pi- pi0 PHSP;
+0.0041 pi+ pi0 pi0 pi0 PHSP;
+0.0121 pi+ pi+ pi- pi0 pi0 PHSP;
+0.0013 pi+ pi+ pi+ pi- pi- pi0 PHSP;
+0.0035 eta pi+ PHSP;
+0.0014 eta pi+ pi0 PHSP;
+0.0032 eta pi+ pi+ pi- PHSP;
+0.0037 eta pi+ pi0 pi0 PHSP;
+0.0044 eta' pi+ PHSP;
+0.0016 eta' pi+ pi0 PHSP;
+0.0011 rho0 rho0 pi+ PHSP;
+0.0006 rho0 pi+ pi+ pi- PHSP;
+#
+0.00024 K+ pi0 PHSP;
+0.00025 rho0 K+ SVS;
+0.00030 K*0T pi+ SVS;
+0.00011 K+ f_0 PHSP;
+0.00016 K_2*0 pi+ STS;
+Enddecay
+#
+#
+#
+Decay D-
+#
+#===================Semileptonic Decays=========================
+#
+0.0556 K*0 e- anti-nu_e PHOTOS SLPOLE_DtoKstarlnu;
+0.0876 K0 e- anti-nu_e PHOTOS SLBKPOLE_DtoKlnu;
+0.0033 K_10 e- anti-nu_e PHOTOS ISGW2;
+0.0033 K_2*0 e- anti-nu_e PHOTOS ISGW2;
+0.0018 K+ pi- e- anti-nu_e PHOTOS PHSP;
+0.0039 pi0 e- anti-nu_e PHOTOS SLBKPOLE_Dtopilnu;
+0.0013 eta e- anti-nu_e PHOTOS SLBKPOLE_Dtoetalnu;
+0.0002 eta' e- anti-nu_e PHOTOS SLBKPOLE_Dtoetaplnu;
+0.0023 rho0 e- anti-nu_e PHOTOS SLPOLE_Dtorholnu;
+0.0015 omega e- anti-nu_e PHOTOS SLPOLE_Dtoomegalnu;
+#
+# Sum of exclusive semi-electronic BFs = 16.08%
+#
+0.0545 K*0 mu- anti-nu_mu PHOTOS SLPOLE_DtoKstarlnu;
+0.0858 K0 mu- anti-nu_mu PHOTOS SLBKPOLE_DtoKlnu;
+0.0032 K_10 mu- anti-nu_mu PHOTOS ISGW2;
+0.0032 K_2*0 mu- anti-nu_mu PHOTOS ISGW2;
+0.0018 K+ pi- mu- anti-nu_mu PHOTOS PHSP;
+0.0038 pi0 mu- anti-nu_mu PHOTOS SLBKPOLE_Dtopilnu;
+0.0013 eta mu- anti-nu_mu PHOTOS SLBKPOLE_Dtoetalnu;
+0.0002 eta' mu- anti-nu_mu PHOTOS SLBKPOLE_Dtoetaplnu;
+0.0023 rho0 mu- anti-nu_mu PHOTOS SLPOLE_Dtorholnu;
+0.0015 omega mu- anti-nu_mu PHOTOS SLPOLE_Dtoomegalnu;
+#
+# Sum of exclusive semi-muonic BFs = 15.76%
+#
+#
+0.00044 mu- anti-nu_mu PHOTOS SLN;
+0.00116 tau- anti-nu_tau SLN;
+#
+0.0147 K_S0 pi- PHSP;
+0.0146 K_L0 pi- PHSP;
+0.0720 a_1- K0 SVS;
+0.0540 K'_10 pi- SVS;
+0.0094 a_1- K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0200 K*0 rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# the Dalitz mode below includes K*(892)0 pi-, K*(1430)0 pi-, and K*(1680)0 pi- resonances.
+0.0951 K+ pi- pi- D_DALITZ;
+# the Dalitz mode below includes K0 rho-, and K*(892)0 pi- resonances.
+0.1400 K0 pi- pi0 D_DALITZ;
+0.0238 K0 eta pi- PHSP;
+0.0050 K0 eta' pi- PHSP;
+0.0012 K0 rho0 pi- PHSP;
+0.0040 K0 omega pi- PHSP;
+0.0101 K+ rho- pi- PHSP;
+0.0195 K*0 pi0 pi- PHSP;
+0.0091 K*0 eta pi- PHSP;
+0.0035 K*0 rho0 pi- PHSP;
+0.0021 K*0 omega pi- PHSP;
+0.0003 K+ rho0 pi- pi- PHSP;
+0.0042 K*+ rho- pi- PHSP;
+0.0014 K0 pi- pi- pi+ PHSP;
+0.0134 K0 pi- pi0 pi0 PHSP;
+0.0004 K+ pi- pi- pi- pi+ PHSP;
+0.0038 K+ pi- pi- pi0 pi0 PHSP;
+0.0089 K0 pi- pi- pi+ pi0 PHSP;
+0.0006 K0 pi- pi0 pi0 pi0 PHSP;
+#
+0.01013 K0 K0 K- PHSP;
+0.0005 K- K+ K0 pi- PHSP;
+0.00008 K- K- K+ PHSP;
+#
+0.0065 phi pi- SVS;
+0.0038 phi rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0059 K0 K- PHSP;
+0.0045 K*0 K- SVS;
+0.0055 K_0*0 K- PHSP;
+0.0320 K*- K0 SVS;
+0.0107 K*0 K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0001 K- K+ pi- PHSP;
+0.0034 K0 anti-K0 pi- PHSP;
+0.0044 K0 anti-K0 pi- pi0 PHSP;
+0.0035 K- K0 pi- pi+ PHSP;
+0.0002 K- K+ pi- pi- pi+ PHSP;
+#
+0.0013 pi0 pi- PHSP;
+0.0011 rho0 pi- SVS;
+0.0008 f_2 pi- STS;
+0.0004 f_0 pi- PHSP;
+0.00155 pi- pi- pi+ PHSP;
+0.0038 rho- pi0 SVS;
+0.00067 pi- pi0 pi0 PHSP;
+0.00295 rho0 rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00295 rho0 pi- pi0 PHSP;
+0.00295 rho- pi- pi+ PHSP;
+0.00116 pi- pi- pi+ pi0 PHSP;
+0.0041 pi- pi0 pi0 pi0 PHSP;
+0.0121 pi- pi- pi+ pi0 pi0 PHSP;
+0.0013 pi- pi- pi- pi+ pi+ pi0 PHSP;
+0.0035 eta pi- PHSP;
+0.0014 eta pi- pi0 PHSP;
+0.0032 eta pi- pi- pi+ PHSP;
+0.0037 eta pi- pi0 pi0 PHSP;
+0.0044 eta' pi- PHSP;
+0.0016 eta' pi- pi0 PHSP;
+0.0011 rho0 rho0 pi- PHSP;
+0.0006 rho0 pi- pi- pi+ PHSP;
+#
+0.00024 K- pi0 PHSP;
+0.00025 rho0 K- SVS;
+0.00030 anti-K*0T pi- SVS;
+0.00011 K- f_0 PHSP;
+0.00016 anti-K_2*0 pi- STS;
+Enddecay
+#
+Decay K*BR
+1.0000 anti-K0 pi0 VSS;
+Enddecay
+#
+#
+#
+#Special omega that does not decay to pi+ pi-; needed for Dalitz compensation
+#in D decays
+Alias omega_A omega
+#
+Decay omega_A
+0.9081 pi- pi+ pi0 OMEGA_DALITZ;
+0.0869 pi0 gamma VSP_PWAVE;
+0.0008 eta gamma VSP_PWAVE;
+0.0006 pi0 e+ e- PHOTOS PHSP;
+0.0001 pi0 mu+ mu- PHOTOS PHSP;
+0.0021 pi+ pi- gamma PHSP;
+0.0004 pi0 pi0 gamma PHSP;
+0.0010 pi+ pi- pi+ pi- PHSP;
+Enddecay
+#
+Decay D0
+#
+#=================Semileptonic decays========================
+#
+0.0216 K*- e+ nu_e PHOTOS SLPOLE_DtoKstarlnu;
+0.0356 K- e+ nu_e PHOTOS SLBKPOLE_DtoKlnu;
+0.0010 K_1- e+ nu_e PHOTOS ISGW2;
+0.0010 K_2*- e+ nu_e PHOTOS ISGW2;
+0.0004 K- pi0 e+ nu_e PHSP;
+0.0007 anti-K0 pi- e+ nu_e PHSP;
+0.0031 pi- e+ nu_e PHOTOS SLBKPOLE_Dtopilnu;
+0.0016 rho- e+ nu_e PHOTOS SLPOLE_Dtorholnu;
+#
+# Sum of exclusive semi-electronic BFs = 6.50%
+#
+0.0212 K*- mu+ nu_mu PHOTOS SLPOLE_DtoKstarlnu;
+0.0349 K- mu+ nu_mu PHOTOS SLBKPOLE_DtoKlnu;
+0.0010 K_1- mu+ nu_mu PHOTOS ISGW2;
+0.0010 K_2*- mu+ nu_mu PHOTOS ISGW2;
+0.0004 K- pi0 mu+ nu_mu PHSP;
+0.0007 anti-K0 pi- mu+ nu_mu PHSP;
+0.0030 pi- mu+ nu_mu PHOTOS SLBKPOLE_Dtopilnu;
+0.0016 rho- mu+ nu_mu PHOTOS SLPOLE_Dtorholnu;
+#
+# Sum of exclusive semi-muonic BFs = 6.38%
+#
+#
+0.0382 K- pi+ PHSP;
+0.0122 K_S0 pi0 PHSP;
+0.0100 K_L0 pi0 PHSP;
+0.0076 anti-K0 eta PHSP;
+0.0182 anti-K0 eta' PHSP;
+# Excludes contribution to anti-K0 pi+ pi-
+0.0213 omega_A anti-K0 SVS;
+0.0053 anti-K*0 eta SVS;
+0.0007 anti-K*0 eta' SVS;
+0.0750 a_1+ K- SVS;
+0.0640 K*- rho+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0150 anti-K*0 rho0 SVV_HELAMP 1.0 0.0 0.0 0.0 1.0 0.0;
+0.0110 anti-K*0 omega SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+# the Dalitz mode below includes K*bar(892)0 pi0,
+# K*(892)- pi+, and K- rho(770)+ resonances
+0.1350 K- pi+ pi0 D_DALITZ;
+0.0124 K*BR pi0 SVS;
+0.0111 K_1- pi+ SVS;
+0.0056 anti-K_10 pi0 SVS;
+#
+# the Dalitz mode below includes a number of resonances including K*(892)- pi+ and Kbar0 rho(770)0
+0.0576 anti-K0 pi+ pi- D_DALITZ;
+0.0158 anti-K0 pi0 pi0 PHSP;
+0.0062 anti-K*0 pi+ pi- PHSP;
+0.0091 anti-K*0 pi0 pi0 PHSP;
+0.0062 K*- pi+ pi0 PHSP;
+0.0008 K- rho+ pi0 PHSP;
+0.0159 K- pi+ rho0 PHSP;
+0.0227 K- pi+ omega PHSP;
+0.0031 K- pi+ eta PHSP;
+0.0072 K- pi+ eta' PHSP;
+0.0015 anti-K0 pi0 eta PHSP;
+0.0027 anti-K0 pi+ pi- eta PHSP;
+0.02469 anti-K0 pi0 pi0 eta PHSP;
+0.0055 K- pi+ pi+ pi- PHSP;
+0.0225 anti-K0 pi+ pi- pi0 PHSP;
+0.0036 K- pi+ pi0 pi0 PHSP;
+0.0102 anti-K0 pi0 pi0 pi0 PHSP;
+0.00154 K- pi+ pi+ pi- pi0 PHSP;
+0.0015 K- pi+ pi0 pi0 pi0 PHSP;
+0.0298 anti-K0 pi+ pi- pi0 pi0 PHSP;
+0.0118 anti-K0 pi+ pi- pi0 pi0 pi0 PHSP;
+0.0080 anti-K0 a_00 PHSP;
+0.0122 K- a_0+ PHSP;
+0.0022 anti-K0 rho0 pi+ pi- PHSP;
+0.0048 K*- rho0 pi+ PHSP;
+0.0001 K*- pi+ pi+ pi- PHSP;
+0.0002 K- pi+ pi+ pi+ pi- pi- PHSP;
+#
+0.00008 K- pi+ phi PHSP;
+0.0085 phi anti-K0 SVS;
+0.00031 phi anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0033 anti-K0 K+ K- PHSP;
+0.0008 K_S0 K_S0 K_S0 PHSP;
+0.0008 K_L0 K_L0 K_L0 PHSP;
+0.0003 K_L0 K_L0 K+ pi- PHSP;
+0.0003 K_L0 K_L0 K- pi+ PHSP;
+0.0003 K_S0 K_S0 K- pi+ PHSP;
+0.0003 K_S0 K_S0 K+ pi- PHSP;
+0.00006 K+ K- anti-K*0 PHSP;
+0.00003 K+ K- K- pi+ PHSP;
+0.00030 phi K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.0039 K+ K- PHSP;
+0.00015 K_S0 K_S0 PHSP;
+0.00015 K_L0 K_L0 PHSP;
+0.0004 K*0 anti-K0 SVS;
+0.0008 anti-K*0 K0 SVS;
+0.0012 K*- K+ SVS;
+0.0044 K*+ K- SVS;
+0.0010 K+ K- pi0 PHSP;
+0.00075 phi pi0 SVS;
+0.00005 phi pi+ pi- PHSP;
+0.0014 phi rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0025 K+ K- pi0 pi0 PHSP;
+0.0043 anti-K0 K0 pi+ pi- PHSP;
+0.0022 anti-K0 K0 pi0 pi0 PHSP;
+0.0034 K0 K- pi+ PHSP;
+0.0042 anti-K0 K+ pi- PHSP;
+0.0042 anti-K0 K+ pi- pi0 PHSP;
+0.0042 K0 K- pi+ pi0 PHSP;
+0.0001 K*0 K- pi+ PHSP;
+0.0001 anti-K*0 K+ pi- PHSP;
+0.0010 K_1+ K- SVS;
+0.0010 K_1- K+ SVS;
+0.0006 K'_1+ K- SVS;
+0.0006 K'_1- K+ SVS;
+0.0029 K+ K- pi+ pi- pi0 PHSP;
+0.00014 phi eta SVS;
+#
+0.0014 pi+ pi- PHSP;
+0.0008 pi0 pi0 PHSP;
+0.00061 eta pi0 PHSP;
+0.00081 eta' pi0 PHSP;
+0.0040 eta pi+ pi- pi0 PHSP;
+0.0017 eta eta PHSP;
+0.0013 eta eta' PHSP;
+0.0080 rho+ pi- SVS;
+0.0036 rho- pi+ SVS;
+0.0025 rho0 pi0 SVS;
+0.0032 f_0 pi+ pi- PHSP;
+0.0016 f_0 pi0 pi0 PHSP;
+0.0002 pi0 pi0 pi0 PHSP;
+0.0037 rho0 rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00193 pi+ pi+ pi- pi- PHSP;
+0.0259 pi+ pi+ pi- pi- pi0 pi0 PHSP;
+0.0076 rho+ rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00034 pi+ pi- pi0 pi0 PHSP;
+0.0016 omega pi+ pi- PHSP;
+0.0017 rho0 pi+ pi- pi0 PHSP;
+0.0005 rho0 rho0 pi0 PHSP;
+0.0042 pi+ pi- pi0 pi0 pi0 PHSP;
+0.0004 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.0011 pi+ pi- eta PHSP;
+0.00045 pi+ pi- eta' PHSP;
+#
+# Doubly Cabibbo suppressed decays:
+0.00014 pi- K+ PHSP;
+0.00030 pi- K+ pi0 PHSP;
+0.00025 pi- K+ pi- pi+ PHSP;
+# Radiative decays
+0.00002 phi gamma HELAMP 1.0 0.0 1.0 0.0;
+0.0003 anti-K*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+Enddecay
+#
+#
+Decay K*0R
+1.0000 K0 pi0 VSS;
+Enddecay
+#
+#
+Decay anti-D0
+#
+#=================Semileptonic decays========================
+#
+0.0216 K*+ e- anti-nu_e PHOTOS SLPOLE_DtoKstarlnu;
+0.0356 K+ e- anti-nu_e PHOTOS SLBKPOLE_DtoKlnu;
+0.0010 K_1+ e- anti-nu_e PHOTOS ISGW2;
+0.0010 K_2*+ e- anti-nu_e PHOTOS ISGW2;
+0.0004 K+ pi0 e- anti-nu_e PHSP;
+0.0007 K0 pi+ e- anti-nu_e PHSP;
+0.0031 pi+ e- anti-nu_e PHOTOS SLBKPOLE_Dtopilnu;
+0.0016 rho+ e- anti-nu_e PHOTOS SLPOLE_Dtorholnu;
+#
+# Sum of exclusive semi-electronic BFs = 6.50%
+#
+0.0212 K*+ mu- anti-nu_mu PHOTOS SLPOLE_DtoKstarlnu;
+0.0349 K+ mu- anti-nu_mu PHOTOS SLBKPOLE_DtoKlnu;
+0.0010 K_1+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0010 K_2*+ mu- anti-nu_mu PHOTOS ISGW2;
+0.0004 K+ pi0 mu- anti-nu_mu PHSP;
+0.0007 K0 pi+ mu- anti-nu_mu PHSP;
+0.0030 pi+ mu- anti-nu_mu PHOTOS SLBKPOLE_Dtopilnu;
+0.0016 rho+ mu- anti-nu_mu PHOTOS SLPOLE_Dtorholnu;
+#
+# Sum of exclusive semi-muonic BFs = 6.38%
+#
+#
+0.0382 K+ pi- PHSP;
+0.0122 K_S0 pi0 PHSP;
+0.0100 K_L0 pi0 PHSP;
+0.0076 K0 eta PHSP;
+0.0182 K0 eta' PHSP;
+# Excludes contribution to K0 pi- pi+
+0.0213 omega_A K0 SVS;
+0.0053 K*0 eta SVS;
+0.0007 K*0 eta' SVS;
+0.0750 a_1- K+ SVS;
+0.0640 K*+ rho- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0150 K*0 rho0 SVV_HELAMP 1.0 0.0 0.0 0.0 1.0 0.0;
+0.0110 K*0 omega SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+# the Dalitz mode below includes K*(892)0 pi0, K*(892)+ pi-, and K+ rho(770)- resonances
+0.1350 K+ pi- pi0 D_DALITZ;
+0.0124 K*0R pi0 SVS;
+0.0111 K_1+ pi- SVS;
+0.0056 K_10 pi0 SVS;
+# the Dalitz mode below includes K*(892)+ pi- and K0 rho(770)0 resonances
+0.0576 K0 pi+ pi- D_DALITZ;
+0.0158 K0 pi0 pi0 PHSP;
+0.0062 K*0 pi- pi+ PHSP;
+0.0091 K*0 pi0 pi0 PHSP;
+0.0062 K*+ pi- pi0 PHSP;
+0.0008 K+ rho- pi0 PHSP;
+0.0159 K+ pi- rho0 PHSP;
+0.0227 K+ pi- omega PHSP;
+0.0031 K+ pi- eta PHSP;
+0.0072 K+ pi- eta' PHSP;
+0.0015 K0 pi0 eta PHSP;
+0.0027 K0 pi- pi+ eta PHSP;
+0.02469 K0 pi0 pi0 eta PHSP;
+0.0055 K+ pi- pi- pi+ PHSP;
+0.0225 K0 pi- pi+ pi0 PHSP;
+0.0036 K+ pi- pi0 pi0 PHSP;
+0.0102 K0 pi0 pi0 pi0 PHSP;
+0.00154 K+ pi- pi- pi+ pi0 PHSP;
+0.0015 K+ pi- pi0 pi0 pi0 PHSP;
+0.0298 K0 pi- pi+ pi0 pi0 PHSP;
+0.0118 K0 pi- pi+ pi0 pi0 pi0 PHSP;
+0.0080 K0 a_00 PHSP;
+0.0122 K+ a_0- PHSP;
+0.0022 K0 rho0 pi- pi+ PHSP;
+0.0048 K*+ rho0 pi- PHSP;
+0.0001 K*+ pi- pi- pi+ PHSP;
+0.0002 K+ pi- pi- pi- pi+ pi+ PHSP;
+#
+0.00008 K+ pi- phi PHSP;
+0.0085 phi K0 SVS;
+0.00031 phi K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0033 K0 K- K+ PHSP;
+0.0008 K_S0 K_S0 K_S0 PHSP;
+0.0008 K_L0 K_L0 K_L0 PHSP;
+0.0003 K_L0 K_L0 K- pi+ PHSP;
+0.0003 K_L0 K_L0 K+ pi- PHSP;
+0.0003 K_S0 K_S0 K+ pi- PHSP;
+0.0003 K_S0 K_S0 K- pi+ PHSP;
+0.00006 K- K+ K*0 PHSP;
+0.00003 K- K+ K+ pi- PHSP;
+0.00030 phi anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.0039 K- K+ PHSP;
+0.00015 K_S0 K_S0 PHSP;
+0.00015 K_L0 K_L0 PHSP;
+0.0004 anti-K*0 K0 SVS;
+0.0008 K*0 anti-K0 SVS;
+0.0012 K*+ K- SVS;
+0.0044 K*- K+ SVS;
+0.0010 K- K+ pi0 PHSP;
+0.00075 phi pi0 SVS;
+0.00005 phi pi- pi+ PHSP;
+0.0014 phi rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0025 K- K+ pi0 pi0 PHSP;
+0.0043 K0 anti-K0 pi- pi+ PHSP;
+0.0022 K0 anti-K0 pi0 pi0 PHSP;
+0.0034 anti-K0 K+ pi- PHSP;
+0.0042 K0 K- pi+ PHSP;
+0.0042 K0 K- pi+ pi0 PHSP;
+0.0042 anti-K0 K+ pi- pi0 PHSP;
+0.0001 anti-K*0 K- pi+ PHSP;
+0.0001 K*0 K- pi+ PHSP;
+0.0010 K_1- K+ SVS;
+0.0010 K_1+ K- SVS;
+0.0006 K'_1- K+ SVS;
+0.0006 K'_1+ K- SVS;
+0.0029 K- K+ pi- pi+ pi0 PHSP;
+0.00014 phi eta SVS;
+#
+0.0014 pi+ pi- PHSP;
+0.0008 pi0 pi0 PHSP;
+0.00061 eta pi0 PHSP;
+0.00081 eta' pi0 PHSP;
+0.0040 eta pi- pi+ pi0 PHSP;
+0.0017 eta eta PHSP;
+0.0013 eta eta' PHSP;
+0.0080 rho- pi+ SVS;
+0.0036 rho+ pi- SVS;
+0.0025 rho0 pi0 SVS;
+0.0032 f_0 pi- pi+ PHSP;
+0.0016 f_0 pi0 pi0 PHSP;
+0.0002 pi0 pi0 pi0 PHSP;
+0.0037 rho0 rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00193 pi- pi- pi+ pi+ PHSP;
+0.0259 pi- pi- pi+ pi+ pi0 pi0 PHSP;
+0.0076 rho- rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00034 pi- pi+ pi0 pi0 PHSP;
+0.0016 omega pi- pi+ PHSP;
+0.0017 rho0 pi- pi+ pi0 PHSP;
+0.0005 rho0 rho0 pi0 PHSP;
+0.0042 pi- pi+ pi0 pi0 pi0 PHSP;
+0.0004 pi- pi- pi- pi+ pi+ pi+ PHSP;
+0.0011 pi- pi+ eta PHSP;
+0.00045 pi- pi+ eta' PHSP;
+#
+# Doubly Cabibbo suppressed decays:
+0.00014 pi+ K- PHSP;
+0.00030 pi+ K- pi0 PHSP;
+0.00025 pi+ K- pi+ pi- PHSP;
+# Radiative decays
+0.00002 phi gamma HELAMP 1.0 0.0 1.0 0.0;
+0.0003 K*0 gamma HELAMP 1.0 0.0 1.0 0.0;
+Enddecay
+#
+# These will all be redefined at the end after Decay definitions
+Alias phi_A phi
+Alias f_0_A f_0
+Alias f'_0_A f'_0
+Alias f_2_A f_2
+#
+Decay D_s+
+0.0217 phi e+ nu_e PHOTOS ISGW2;
+0.0248 eta e+ nu_e PHOTOS ISGW2;
+0.0086 eta' e+ nu_e PHOTOS ISGW2;
+0.0018 K0 e+ nu_e PHOTOS ISGW2;
+0.0019 K*0 e+ nu_e PHOTOS ISGW2;
+0.0031 f_0 e+ nu_e PHOTOS ISGW2;
+0.0206 phi mu+ nu_mu PHOTOS ISGW2;
+0.0235 eta mu+ nu_mu PHOTOS ISGW2;
+0.0082 eta' mu+ nu_mu PHOTOS ISGW2;
+0.0017 K0 mu+ nu_mu PHOTOS ISGW2;
+0.0018 K*0 mu+ nu_mu PHOTOS ISGW2;
+0.0029 f_0 mu+ nu_mu PHOTOS ISGW2;
+0.0061 mu+ nu_mu PHOTOS SLN;
+0.0599 tau+ nu_tau SLN;
+0.0537 K- K+ pi+ D_DALITZ;
+0.0206 phi_A pi+ SVS;
+0.0154 eta pi+ PHSP;
+0.0367 eta' pi+ PHSP;
+0.0025 omega pi+ SVS;
+0.0103 f_0_A pi+ PHSP;
+0.0062 f'_0_A pi+ PHSP;
+0.0018 f_2_A pi+ STS;
+0.0735 phi rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0020 K+ anti-K_0*0N PHSP;
+0.0017 K_L0 K_L0 pi+ pi+ pi- PHSP;
+0.0017 K_S0 K_S0 pi+ pi+ pi- PHSP;
+0.0005 K_L0 K_L0 pi+ pi0 pi0 PHSP;
+0.0005 K_S0 K_S0 pi+ pi0 pi0 PHSP;
+0.0236 phi a_1+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0758 rho+ eta SVS;
+0.0387 rho+ eta' SVS;
+0.0056 pi+ pi0 pi0 PHSP;
+0.0237 eta pi+ pi- pi+ PHSP;
+0.0325 eta pi+ pi0 pi0 PHSP;
+0.0293 anti-K0 K+ PHSP;
+0.0124 K*BR K+ SVS;
+0.0377 K*+ anti-K0 SVS;
+0.0741 anti-K*0 K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0048 anti-K*0 K*+ pi0 PHSP;
+0.0048 anti-K*0 K*0 pi+ PHSP;
+0.0199 anti-K0 K+ pi+ pi- PHSP;
+0.0085 anti-K0 K+ pi0 pi0 PHSP;
+0.0019 K+ K- pi+ pi0 pi0 PHSP;
+0.0070 K+ anti-K0 pi0 pi0 pi0 PHSP;
+0.0014 eta K+ PHSP;
+0.0015 eta' K+ PHSP;
+0.0005 K+ K- K+ PHSP;
+0.0005 K0 anti-K0 K+ PHSP;
+0.0016 rho(2S)0 pi+ SVS;
+0.0015 rho(2S)+ pi0 SVS;
+0.0067 pi+ pi+ pi+ pi- pi- PHSP;
+0.0107 pi+ pi+ pi- pi0 PHSP;
+0.0288 pi+ pi+ pi- pi0 pi0 PHSP;
+0.0455 pi+ pi+ pi- pi0 pi0 pi0 PHSP;
+0.0177 pi+ pi+ pi+ pi- pi- pi0 PHSP;
+0.0085 pi+ pi0 pi0 pi0 pi0 PHSP;
+0.0007 K+ pi0 PHSP;
+0.0024 K0 pi+ PHSP;
+0.0026 rho0 K+ SVS;
+0.0050 rho+ K0 SVS;
+0.0022 K*0 pi+ SVS;
+0.0010 K*+ pi0 SVS;
+0.0046 K*0 rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0023 K*+ rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0018 rho(2S)0 K+ SVS;
+0.0251 K'*0 pi+ SVS;
+0.0008 K_0*0 pi+ PHSP;
+0.0003 K+ pi+ pi- PHSP;
+0.0035 rho(2S)+ K0 SVS;
+0.0067 K'*+ pi0 SVS;
+0.0004 K_0*+ pi0 PHSP;
+0.0003 K+ K+ pi- PHSP;
+0.0014 p+ anti-n0 PHSP;
+Enddecay
+#
+Decay D_s-
+0.0217 phi e- anti-nu_e PHOTOS ISGW2;
+0.0248 eta e- anti-nu_e PHOTOS ISGW2;
+0.0086 eta' e- anti-nu_e PHOTOS ISGW2;
+0.0018 anti-K0 e- anti-nu_e PHOTOS ISGW2;
+0.0019 anti-K*0 e- anti-nu_e PHOTOS ISGW2;
+0.0031 f_0 e- anti-nu_e PHOTOS ISGW2;
+0.0206 phi mu- anti-nu_mu PHOTOS ISGW2;
+0.0235 eta mu- anti-nu_mu PHOTOS ISGW2;
+0.0082 eta' mu- anti-nu_mu PHOTOS ISGW2;
+0.0017 anti-K0 mu- anti-nu_mu PHOTOS ISGW2;
+0.0018 anti-K*0 mu- anti-nu_mu PHOTOS ISGW2;
+0.0029 f_0 mu- anti-nu_mu PHOTOS ISGW2;
+0.0061 mu- anti-nu_mu PHOTOS SLN;
+0.0599 tau- anti-nu_tau SLN;
+0.0537 K+ K- pi- D_DALITZ;
+0.0206 phi_A pi- SVS;
+0.0154 eta pi- PHSP;
+0.0367 eta' pi- PHSP;
+0.0025 omega pi- SVS;
+0.0103 f_0_A pi- PHSP;
+0.0062 f'_0_A pi- PHSP;
+0.0018 f_2_A pi- STS;
+0.0735 phi rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0020 K- K_0*0N PHSP;
+0.0017 K_L0 K_L0 pi- pi- pi+ PHSP;
+0.0017 K_S0 K_S0 pi- pi- pi+ PHSP;
+0.0005 K_L0 K_L0 pi- pi0 pi0 PHSP;
+0.0005 K_S0 K_S0 pi- pi0 pi0 PHSP;
+0.0236 phi a_1- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0758 rho- eta SVS;
+0.0387 rho- eta' SVS;
+0.0056 pi- pi0 pi0 PHSP;
+0.0237 eta pi- pi+ pi- PHSP;
+0.0325 eta pi- pi0 pi0 PHSP;
+0.0293 K0 K- PHSP;
+0.0124 K*0R K- SVS;
+0.0377 K*- K0 SVS;
+0.0741 K*0 K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0048 K*0 K*- pi0 PHSP;
+0.0048 K*0 anti-K*0 pi- PHSP;
+0.0199 K0 K- pi- pi+ PHSP;
+0.0085 K0 K- pi0 pi0 PHSP;
+0.0019 K- K+ pi- pi0 pi0 PHSP;
+0.0070 K- K0 pi0 pi0 pi0 PHSP;
+0.0014 eta K- PHSP;
+0.0015 eta' K- PHSP;
+0.0005 K- K- K+ PHSP;
+0.0005 anti-K0 K0 K- PHSP;
+0.0016 rho(2S)0 pi- SVS;
+0.0015 rho(2S)- pi0 SVS;
+0.0067 pi- pi- pi- pi+ pi+ PHSP;
+0.0107 pi- pi- pi+ pi0 PHSP;
+0.0288 pi- pi- pi+ pi0 pi0 PHSP;
+0.0455 pi- pi- pi+ pi0 pi0 pi0 PHSP;
+0.0177 pi- pi- pi- pi+ pi+ pi0 PHSP;
+0.0085 pi- pi0 pi0 pi0 pi0 PHSP;
+0.0007 K- pi0 PHSP;
+0.0024 anti-K0 pi- PHSP;
+0.0026 rho0 K- SVS;
+0.0050 rho- anti-K0 SVS;
+0.0022 anti-K*0 pi- SVS;
+0.0010 K*- pi0 SVS;
+0.0046 anti-K*0 rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0023 K*- rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0018 rho(2S)0 K- SVS;
+0.0251 anti-K'*0 pi- SVS;
+0.0008 anti-K_0*0 pi- PHSP;
+0.0003 K- pi- pi+ PHSP;
+0.0035 rho(2S)- anti-K0 SVS;
+0.0067 K'*- pi0 SVS;
+0.0004 K_0*- pi0 PHSP;
+0.0003 K- K- pi+ PHSP;
+0.0014 anti-p- n0 PHSP;
+Enddecay
+#
+# D**
+#
+Decay D_0*+
+0.3333 D+ pi0 PHSP;
+0.6667 D0 pi+ PHSP;
+Enddecay
+Decay D_0*-
+0.3333 D- pi0 PHSP;
+0.6667 anti-D0 pi- PHSP;
+Enddecay
+Decay D_0*0
+0.3333 D0 pi0 PHSP;
+0.6667 D+ pi- PHSP;
+Enddecay
+Decay anti-D_0*0
+0.3333 anti-D0 pi0 PHSP;
+0.6667 D- pi+ PHSP;
+Enddecay
+#
+
+SetLineshapePW D_1+ D*+ pi0 2
+SetLineshapePW D_1+ D*0 pi+ 2
+SetLineshapePW D_1- D*- pi0 2
+SetLineshapePW D_1- anti-D*0 pi- 2
+SetLineshapePW D_10 D*0 pi0 2
+SetLineshapePW D_10 D*+ pi- 2
+SetLineshapePW anti-D_10 anti-D*0 pi0 2
+SetLineshapePW anti-D_10 D*- pi+ 2
+
+Decay D_1+
+0.26 D*+ pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.53 D*0 pi+ VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.14 D+ pi+ pi- PHSP;
+0.07 D+ pi0 pi0 PHSP;
+Enddecay
+Decay D_1-
+0.26 D*- pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.53 anti-D*0 pi- VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.14 D- pi+ pi- PHSP;
+0.07 D- pi0 pi0 PHSP;
+Enddecay
+Decay D_10
+0.26 D*0 pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.53 D*+ pi- VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.14 D0 pi+ pi- PHSP;
+0.07 D0 pi0 pi0 PHSP;
+Enddecay
+Decay anti-D_10
+0.26 anti-D*0 pi0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.53 D*- pi+ VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.14 anti-D0 pi+ pi- PHSP;
+0.07 anti-D0 pi0 pi0 PHSP;
+Enddecay
+#
+Decay D'_1+
+0.3333 D*+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.6667 D*0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+Decay D'_1-
+0.3333 D*- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.6667 anti-D*0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+Decay D'_10
+0.6667 D*+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3333 D*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+Decay anti-D'_10
+0.6667 D*- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3333 anti-D*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+
+Enddecay
+#
+
+SetLineshapePW D_2*+ D*+ pi0 2
+SetLineshapePW D_2*+ D*0 pi+ 2
+SetLineshapePW D_2*- D*- pi0 2
+SetLineshapePW D_2*- anti-D*0 pi- 2
+SetLineshapePW D_2*0 D*0 pi0 2
+SetLineshapePW D_2*0 D*+ pi- 2
+SetLineshapePW anti-D_2*0 anti-D*0 pi0 2
+SetLineshapePW anti-D_2*0 D*- pi+ 2
+
+Decay D_2*+
+0.1030 D*+ pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.2090 D*0 pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.2290 D+ pi0 TSS;
+0.4590 D0 pi+ TSS;
+Enddecay
+Decay D_2*-
+0.1030 D*- pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.2090 anti-D*0 pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.2290 D- pi0 TSS;
+0.4590 anti-D0 pi- TSS;
+Enddecay
+Decay D_2*0
+0.2090 D*+ pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.1030 D*0 pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.2290 D0 pi0 TSS;
+0.4590 D+ pi- TSS;
+Enddecay
+Decay anti-D_2*0
+0.2090 D*- pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.1030 anti-D*0 pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+
+0.2290 anti-D0 pi0 TSS;
+0.4590 D- pi+ TSS;
+Enddecay
+#
+# D_s **
+#
+Decay D_s0*+
+# 0.5000 D+ K0 PHSP;
+# 0.5000 D0 K+ PHSP;
+1.000 D_s+ pi0 PHSP;
+Enddecay
+Decay D_s0*-
+# 0.5000 D- anti-K0 PHSP;
+# 0.5000 anti-D0 K- PHSP;
+1.000 D_s- pi0 PHSP;
+Enddecay
+Decay D'_s1+
+0.5000 D*+ K0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.5000 D*0 K+ VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.0000 gamma D_s*+ PHSP;
+0.0000 gamma D_s+ PHSP;
+Enddecay
+Decay D'_s1-
+0.5000 D*- anti-K0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.5000 anti-D*0 K- VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0;
+0.0000 gamma D_s*- PHSP;
+0.0000 gamma D_s- PHSP;
+Enddecay
+Decay D_s1+
+0.80000 D_s*+ pi0 PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.20000 D_s+ gamma VSP_PWAVE;
+Enddecay
+Decay D_s1-
+0.80000 D_s*- pi0 PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.20000 D_s- gamma VSP_PWAVE;
+Enddecay
+Decay D_s2*+
+0.0500 D*+ K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0500 D*0 K+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.4300 D+ K0 TSS;
+0.4700 D0 K+ TSS;
+Enddecay
+Decay D_s2*-
+0.0500 D*- anti-K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0500 anti-D*0 K- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.4300 D- anti-K0 TSS;
+0.4700 anti-D0 K- TSS;
+Enddecay
+#
+#
+# Charm Mesons: Radially Excited States
+#
+Decay D(2S)0
+0.6667 D*+ pi- SVS;
+0.3333 D*0 pi0 SVS;
+Enddecay
+Decay anti-D(2S)0
+0.6667 D*- pi+ SVS;
+0.3333 anti-D*0 pi0 SVS;
+
+Enddecay
+Decay D(2S)+
+0.3333 D*+ pi0 SVS;
+0.6667 D*0 pi+ SVS;
+Enddecay
+Decay D(2S)-
+0.3333 D*- pi0 SVS;
+0.6667 anti-D*0 pi- SVS;
+Enddecay
+Decay D*(2S)0
+0.3333 D*+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1667 D*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1667 D0 pi0 VSS;
+0.3333 D+ pi- VSS;
+Enddecay
+Decay anti-D*(2S)0
+0.3333 D*- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1667 anti-D*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+
+0.1667 anti-D0 pi0 VSS;
+0.3333 D- pi+ VSS;
+Enddecay
+Decay D*(2S)+
+0.1667 D*+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3333 D*0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1667 D+ pi0 VSS;
+0.3333 D0 pi+ VSS;
+Enddecay
+Decay D*(2S)-
+0.1667 D*- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3333 anti-D*0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1667 D- pi0 VSS;
+0.3333 anti-D0 pi- VSS;
+Enddecay
+#
+#
+# Strange Mesons
+#
+#
+Decay K_S0
+0.6861 pi+ pi- PHSP;
+0.3139 pi0 pi0 PHSP;
+Enddecay
+#
+# K_L0 is decayed in GEANT
+#
+Decay K0
+0.500 K_L0 PHSP;
+0.500 K_S0 PHSP;
+Enddecay
+Decay anti-K0
+0.500 K_L0 PHSP;
+0.500 K_S0 PHSP;
+Enddecay
+#
+Decay K*0
+0.6657 K+ pi- VSS;
+0.3323 K0 pi0 VSS;
+0.0020 K0 gamma VSP_PWAVE;
+Enddecay
+Decay anti-K*0
+0.6657 K- pi+ VSS;
+0.3323 anti-K0 pi0 VSS;
+0.0020 anti-K0 gamma VSP_PWAVE;
+Enddecay
+Decay K*+
+0.6660 K0 pi+ VSS;
+0.3330 K+ pi0 VSS;
+0.0010 K+ gamma VSP_PWAVE;
+Enddecay
+Decay K*-
+0.6660 anti-K0 pi- VSS;
+0.3330 K- pi0 VSS;
+0.0010 K- gamma VSP_PWAVE;
+Enddecay
+#
+# The decays below are for particle aliases and used when
+# generating CP violating decays that depends on the decay
+# of the neutral K*
+#
+Decay K*L
+1.0000 pi0 K_L0 VSS;
+Enddecay
+Decay K*S
+1.0000 pi0 K_S0 VSS;
+Enddecay
+Decay K*BL
+1.0000 pi0 K_L0 VSS;
+Enddecay
+Decay K*BS
+1.0000 pi0 K_S0 VSS;
+Enddecay
+Decay K*0T
+1.0000 pi- K+ VSS;
+Enddecay
+Decay anti-K*0T
+1.0000 pi+ K- VSS;
+Enddecay
+#
+#
+Decay K_0*+
+0.6667 K0 pi+ PHSP;
+0.3333 K+ pi0 PHSP;
+Enddecay
+#
+Decay K_0*-
+0.6667 anti-K0 pi- PHSP;
+0.3333 K- pi0 PHSP;
+Enddecay
+#
+Decay K_0*0
+0.6667 K+ pi- PHSP;
+0.3333 K0 pi0 PHSP;
+Enddecay
+#
+Decay K_0*0N
+1.0000 K0 pi0 PHSP;
+Enddecay
+#
+Decay anti-K_0*0
+0.6667 K- pi+ PHSP;
+0.3333 anti-K0 pi0 PHSP;
+Enddecay
+#
+Decay anti-K_0*0N
+1.0000 anti-K0 pi0 PHSP;
+Enddecay
+#
+Decay K_10
+0.2800 rho- K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1400 rho0 K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1067 K*+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0533 K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+#To large masses can cause infinit loops
+0.1100 omega K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1444 K0 pi+ pi- PHSP;
+0.1244 K+ pi- pi0 PHSP;
+0.0412 K0 pi0 pi0 PHSP;
+Enddecay
+Decay anti-K_10
+0.2800 rho+ K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1400 rho0 anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1067 K*- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0533 anti-K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+#To large masses can cause infinit loops
+0.1100 omega anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1444 anti-K0 pi+ pi- PHSP;
+0.1244 K- pi+ pi0 PHSP;
+0.0412 anti-K0 pi0 pi0 PHSP;
+Enddecay
+#
+Decay K_1+
+0.2800 rho+ K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1400 rho0 K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1067 K*0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0533 K*+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+#To large masses can cause infinit loops
+0.1100 omega K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1444 K+ pi+ pi- PHSP;
+0.1244 K0 pi+ pi0 PHSP;
+0.0412 K+ pi0 pi0 PHSP;
+Enddecay
+Decay K_1-
+0.2800 rho- anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1400 rho0 K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1067 anti-K*0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0533 K*- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+#To large masses can cause infinit loops
+0.1100 omega K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1444 K- pi+ pi- PHSP;
+0.1244 anti-K0 pi- pi0 PHSP;
+0.0412 K- pi0 pi0 PHSP;
+Enddecay
+#
+Decay K'_1+
+0.6300 K*0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3100 K*+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0200 rho+ K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 rho0 K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 omega K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0133 K+ pi+ pi- PHSP;
+0.0067 K+ pi0 pi0 PHSP;
+Enddecay
+Decay K'_1-
+0.6300 anti-K*0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3100 K*- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0200 rho- anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 rho0 K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 omega K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0133 K- pi+ pi- PHSP;
+0.0067 K- pi0 pi0 PHSP;
+Enddecay
+Decay K'_10
+0.6300 K*+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3100 K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0200 rho- K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 rho0 K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 omega K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0133 K0 pi+ pi- PHSP;
+0.0067 K0 pi0 pi0 PHSP;
+Enddecay
+Decay anti-K'_10
+0.6300 K*- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3100 anti-K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0200 rho+ K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 rho0 anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0100 omega anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0133 anti-K0 pi+ pi- PHSP;
+0.0067 anti-K0 pi0 pi0 PHSP;
+Enddecay
+#
+Decay K_2*+
+0.3310 K0 pi+ TSS;
+0.1660 K+ pi0 TSS;
+0.1680 K*0 pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0840 K*+ pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0540 K*0 pi+ pi0 PHSP;
+0.0540 K*+ pi+ pi- PHSP;
+0.0540 K*+ pi0 pi0 PHSP;
+0.0590 rho+ K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0300 rho0 K+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+Decay K_2*-
+0.3310 anti-K0 pi- TSS;
+0.1660 K- pi0 TSS;
+0.1680 anti-K*0 pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0840 K*- pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0540 anti-K*0 pi- pi0 PHSP;
+0.0540 K*- pi+ pi- PHSP;
+0.0540 K*- pi0 pi0 PHSP;
+0.0590 rho- anti-K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0300 rho0 K- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+Decay K_2*0
+0.3310 K+ pi- TSS;
+0.1660 K0 pi0 TSS;
+0.1680 K*+ pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0840 K*0 pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0540 K*0 pi+ pi- PHSP;
+0.0540 K*0 pi0 pi0 PHSP;
+0.0540 K*+ pi- pi0 PHSP;
+0.0590 rho- K+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0300 rho0 K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+Decay anti-K_2*0
+0.3310 K- pi+ TSS;
+0.1660 anti-K0 pi0 TSS;
+0.1680 K*- pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0840 anti-K*0 pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0540 anti-K*0 pi+ pi- PHSP;
+0.0540 anti-K*0 pi0 pi0 PHSP;
+0.0540 K*- pi+ pi0 PHSP;
+0.0590 rho+ K- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0300 rho0 anti-K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+Enddecay
+
+
+
+
+# Decay K*(1410)
+Decay K'*0
+0.0467 K+ pi- VSS;
+0.0233 K0 pi0 VSS;
+0.5760 K*+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.2880 K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0440 rho- K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0220 rho0 K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay anti-K'*0
+0.0467 K- pi+ VSS;
+0.0233 anti-K0 pi0 VSS;
+0.5760 K*- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.2880 anti-K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0440 rho+ K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0220 rho0 anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay K'*+
+0.0467 K0 pi+ VSS;
+0.0233 K+ pi0 VSS;
+0.5760 K*0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.2880 K*+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0440 rho+ K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0220 rho0 K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay K'*-
+0.0467 anti-K0 pi- VSS;
+0.0233 K- pi0 VSS;
+0.5760 anti-K*0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.2880 K*- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0440 rho- anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0220 rho0 K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+
+
+# Decay K*(1680)
+Decay K''*0
+0.2580 K+ pi- VSS;
+0.1290 K0 pi0 VSS;
+0.2093 K*+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1047 K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1993 rho- K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0997 rho0 K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay anti-K''*0
+0.2580 K- pi+ VSS;
+0.1290 anti-K0 pi0 VSS;
+0.2093 K*- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1047 anti-K*0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1993 rho+ K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0997 rho0 anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay K''*+
+0.2580 K0 pi+ VSS;
+0.1290 K+ pi0 VSS;
+0.2093 K*0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1047 K*+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1993 rho+ K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0997 rho0 K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay K''*-
+0.2580 anti-K0 pi- VSS;
+0.1290 K- pi0 VSS;
+0.2093 anti-K*0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1047 K*- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1993 rho- anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0997 rho0 K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+
+Decay Xsd
+1.00000 d anti-s PYTHIA 11;
+Enddecay
+
+Decay anti-Xsd
+1.00000 anti-d s PYTHIA 11;
+Enddecay
+
+Decay Xsu
+1.00000 u anti-s PYTHIA 11;
+Enddecay
+
+Decay anti-Xsu
+1.00000 anti-u s PYTHIA 11;
+Enddecay
+
+Decay Xdd
+1.00000 d anti-d PYTHIA 11;
+Enddecay
+
+Decay anti-Xdd
+1.00000 anti-d d PYTHIA 11;
+Enddecay
+
+Decay Xdu
+1.00000 u anti-d PYTHIA 11;
+Enddecay
+
+Decay anti-Xdu
+1.00000 anti-u d PYTHIA 11;
+Enddecay
+# Xss decays can be uncommented when Jst74/lucomp.F recognizes Xss
+Decay Xss
+1.00000 s anti-s PYTHIA 11;
+Enddecay
+
+Decay anti-Xss
+1.00000 anti-s s PYTHIA 11;
+Enddecay
+
+#
+# Light Mesons
+#
+Decay pi0
+0.9880 gamma gamma PHSP;
+0.0120 e+ e- gamma PI0_DALITZ;
+Enddecay
+#
+Decay eta
+0.39466 gamma gamma PHSP;
+0.3251 pi0 pi0 pi0 PHSP;
+0.2260 pi- pi+ pi0 ETA_DALITZ;
+0.0468 gamma pi- pi+ PHSP;
+0.0060 gamma e+ e- PHSP;
+0.00031 gamma mu+ mu- PHSP;
+0.00072 gamma gamma pi0 PHSP;
+0.00040 pi+ pi- e+ e- PHSP;
+Enddecay
+#
+Decay eta(1405)
+0.3283 rho+ rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.1642 rho0 rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.1000 K- K+ pi0 PHSP;
+0.1000 K0 anti-K0 pi0 PHSP;
+0.1000 K- K0 pi+ PHSP;
+0.1000 K+ anti-K0 pi- PHSP;
+0.0337 eta pi+ pi- PHSP;
+0.0168 eta pi0 pi0 PHSP;
+0.0150 a_00 pi0 PHSP;
+0.0150 a_0+ pi- PHSP;
+0.0150 a_0- pi+ PHSP;
+0.0120 rho0 gamma SVP_HELAMP 1.0 0.0 1.0 0.0;
+Enddecay
+#
+Decay eta(1475)
+0.2500 K*0 anti-K0 PHSP;
+0.2500 anti-K*0 K0 PHSP;
+0.2500 K*+ K- PHSP;
+0.2500 K*- K+ PHSP;
+Enddecay
+#
+Decay f_0(1710)
+0.2130 K+ K- PHSP;
+0.1070 K_S0 K_S0 PHSP;
+0.1070 K_L0 K_L0 PHSP;
+0.2160 eta eta PHSP;
+0.1340 pi+ pi- PHSP;
+0.0670 pi0 pi0 PHSP;
+0.1560 omega omega PHSP;
+Enddecay
+#
+Decay f_2(1950)
+0.3750 K*0 anti-K*0 PHSP;
+0.3750 K*+ K*- PHSP;
+0.0970 K+ K- PHSP;
+0.0480 K_S0 K_S0 PHSP;
+0.0480 K_L0 K_L0 PHSP;
+0.0500 pi+ pi- PHSP;
+0.0070 eta eta PHSP;
+Enddecay
+#
+Decay f_4(2050)
+0.5810 omega omega PHSP;
+0.2580 pi+ pi- PHSP;
+0.1290 pi0 pi0 PHSP;
+0.0078 K+ K- PHSP;
+0.0039 K_S0 K_S0 PHSP;
+0.0039 K_L0 K_L0 PHSP;
+0.0047 eta eta PHSP;
+0.0039 a_2+ pi- PHSP;
+0.0039 a_2- pi+ PHSP;
+0.0039 a_20 pi0 PHSP;
+Enddecay
+#
+Decay rho0
+1.000 pi+ pi- VSS;
+Enddecay
+Decay rho+
+1.000 pi+ pi0 VSS;
+Enddecay
+Decay rho-
+1.000 pi- pi0 VSS;
+Enddecay
+#
+Decay omega
+0.8880 pi- pi+ pi0 OMEGA_DALITZ;
+0.0850 pi0 gamma VSP_PWAVE;
+0.0221 pi- pi+ VSS;
+0.0008 eta gamma VSP_PWAVE;
+0.0006 pi0 e+ e- PHOTOS PHSP;
+0.0001 pi0 mu+ mu- PHOTOS PHSP;
+0.0020 pi+ pi- gamma PHSP;
+0.0004 pi0 pi0 gamma PHSP;
+0.0010 pi+ pi- pi+ pi- PHSP;
+Enddecay
+#
+Decay eta'
+0.4370 pi+ pi- eta PHSP;
+0.2080 pi0 pi0 eta PHSP;
+0.3020 rho0 gamma SVP_HELAMP 1.0 0.0 1.0 0.0;
+0.0302 omega gamma SVP_HELAMP 1.0 0.0 1.0 0.0;
+0.0212 gamma gamma PHSP;
+0.0015 pi0 pi0 pi0 PHSP;
+0.0001 gamma mu- mu+ PHOTOS PHSP;
+Enddecay
+#
+Decay phi
+0.4910 K+ K- VSS;
+0.3410 K_L0 K_S0 VSS;
+0.0430 rho+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0430 rho0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0430 rho- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0250 pi+ pi- pi0 PHSP;
+0.0121 eta gamma VSP_PWAVE;
+0.0013 pi0 gamma VSP_PWAVE;
+0.0003 e+ e- PHOTOS VLL;
+0.0003 mu+ mu- PHOTOS VLL;
+Enddecay
+#
+Decay a_1+
+0.4920 rho0 pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.5080 rho+ pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+Decay a_10
+0.5000 rho- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.5000 rho+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+Decay a_1-
+0.4920 rho0 pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.5080 rho- pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay a_2+
+0.3500 rho0 pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.3500 rho+ pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.1440 eta pi+ TSS;
+0.1050 omega pi+ pi0 PHSP;
+0.0480 anti-K0 K+ TSS;
+0.0030 pi+ gamma PHSP;
+Enddecay
+Decay a_2-
+0.3500 rho0 pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.3500 rho- pi0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.1440 eta pi- TSS;
+0.1050 omega pi- pi0 PHSP;
+0.0480 K0 K- TSS;
+0.0030 pi- gamma PHSP;
+Enddecay
+Decay a_20
+0.3500 rho+ pi- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.3500 rho- pi+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.1440 eta pi0 TSS;
+0.1050 omega pi+ pi- PHSP;
+0.0240 K+ K- TSS;
+0.0120 K_L0 K_L0 TSS;
+0.0120 K_S0 K_S0 TSS;
+0.0030 pi0 gamma PHSP;
+Enddecay
+#
+Decay b_1+
+0.9984 omega pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0016 pi+ gamma VSP_PWAVE;
+Enddecay
+Decay b_1-
+0.9984 omega pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0016 pi- gamma VSP_PWAVE;
+Enddecay
+Decay b_10
+0.9984 omega pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0016 pi0 gamma VSP_PWAVE;
+Enddecay
+#
+Decay a_00
+0.9000 eta pi0 PHSP;
+0.0500 K+ K- PHSP;
+0.0250 K_S0 K_S0 PHSP;
+0.0250 K_L0 K_L0 PHSP;
+Enddecay
+Decay a_0+
+0.9000 eta pi+ PHSP;
+0.1000 anti-K0 K+ PHSP;
+Enddecay
+Decay a_0-
+0.9000 eta pi- PHSP;
+0.1000 K0 K- PHSP;
+Enddecay
+#
+Decay f_0
+0.5200 pi+ pi- PHSP;
+0.2600 pi0 pi0 PHSP;
+0.1100 K+ K- PHSP;
+0.0550 K_S0 K_S0 PHSP;
+0.0550 K_L0 K_L0 PHSP;
+Enddecay
+#
+Decay f'_0
+0.5200 pi+ pi- PHSP;
+0.2600 pi0 pi0 PHSP;
+0.0750 pi+ pi+ pi- pi- PHSP;
+0.0750 pi+ pi- pi0 pi0 PHSP;
+0.0350 K+ K- PHSP;
+0.0175 K_S0 K_S0 PHSP;
+0.0175 K_L0 K_L0 PHSP;
+Enddecay
+#
+Decay f_1
+0.1500 rho0 pi+ pi- PHSP;
+0.0500 rho0 pi0 pi0 PHSP;
+0.0500 rho+ pi- pi0 PHSP;
+0.0500 rho- pi+ pi0 PHSP;
+0.1400 a_00 pi0 VSS;
+0.1400 a_0+ pi- VSS;
+0.1400 a_0- pi+ VSS;
+0.0700 eta pi+ pi- PHSP;
+0.0300 eta pi0 pi0 PHSP;
+0.0300 K+ K- pi0 PHSP;
+0.0200 K0 anti-K0 pi0 PHSP;
+0.0300 anti-K0 K+ pi- PHSP;
+0.0300 K0 K- pi+ PHSP;
+0.0700 gamma rho0 PHSP;
+Enddecay
+#
+Decay f'_1
+0.2500 K+ K- pi0 PHSP;
+0.2500 K0 anti-K0 pi0 PHSP;
+0.2500 anti-K0 K+ pi- PHSP;
+0.2500 K0 K- pi+ PHSP;
+Enddecay
+#
+Decay f_2
+0.5650 pi+ pi- TSS;
+0.2820 pi0 pi0 TSS;
+0.0280 pi+ pi- pi+ pi- PHSP;
+0.0720 pi+ pi- pi0 pi0 PHSP;
+0.0030 pi0 pi0 pi0 pi0 PHSP;
+0.0230 K+ K- TSS;
+0.0115 K_S0 K_S0 TSS;
+0.0115 K_L0 K_L0 TSS;
+0.0040 eta eta TSS;
+Enddecay
+#
+Decay f_0(1500)
+0.0500 eta eta' PHSP;
+0.1500 eta eta PHSP;
+0.1000 pi0 pi0 pi0 pi0 PHSP;
+0.2500 pi+ pi- pi+ pi- PHSP;
+0.1000 pi+ pi- PHSP;
+0.0500 pi0 pi0 PHSP;
+0.1000 K+ K- PHSP;
+0.1000 K_S0 K_S0 PHSP;
+0.1000 K_L0 K_L0 PHSP;
+Enddecay
+#
+Decay f'_2
+0.4444 K+ K- TSS;
+0.2222 K_S0 K_S0 TSS;
+0.2222 K_L0 K_L0 TSS;
+0.1030 eta eta TSS;
+0.0055 pi+ pi- TSS;
+0.0027 pi0 pi0 TSS;
+Enddecay
+#
+Decay h_1
+0.3333 rho+ pi- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3333 rho- pi+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3334 rho0 pi0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay h'_1
+0.2500 K*+ K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.2500 K*- K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.2500 anti-K*0 K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.2500 K*0 anti-K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+Enddecay
+#
+Decay rho(2S)+
+0.4000 pi+ pi0 PHSP;
+0.4000 pi+ pi+ pi- pi0 PHSP;
+0.2000 pi+ pi0 pi0 pi0 PHSP;
+Enddecay
+Decay rho(2S)-
+0.4000 pi- pi0 PHSP;
+0.4000 pi- pi+ pi- pi0 PHSP;
+0.2000 pi- pi0 pi0 pi0 PHSP;
+Enddecay
+Decay rho(2S)0
+0.4000 pi+ pi- PHSP;
+0.3500 pi+ pi- pi+ pi- PHSP;
+0.1500 pi+ pi- pi0 pi0 PHSP;
+0.1000 pi0 pi0 pi0 pi0 PHSP;
+Enddecay
+Decay rho(3S)0
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay omega(1650)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay rho(1900)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay omega(2S)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay rho(2150)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay omega(1960)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay rho(1965)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay rho(2000)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay omega(2145)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay omega(2205)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay rho(2265)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay rho(2280)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+Decay omega(2330)
+0.08 pi+ pi- PHSP;
+0.05 pi+ pi+ pi- pi- PHSP;
+0.10 pi0 pi+ pi- PHSP;
+0.10 pi0 pi+ pi+ pi- pi- PHSP;
+0.12 pi0 pi0 pi+ pi- PHSP;
+0.04 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.14 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.05 pi0 pi0 pi0 pi+ pi- PHSP;
+0.06 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi+ pi+ pi+ pi- pi- pi- PHSP;
+0.03 pi0 pi0 pi0 pi0 pi+ pi+ pi- pi- PHSP;
+0.04 K+ K- pi+ pi- PHSP;
+0.02 K0 K- pi+ PHSP;
+0.02 anti-K0 K+ pi- PHSP;
+0.02 K0 K- pi+ pi+ pi- PHSP;
+0.02 anti-K0 K+ pi- pi- pi+ PHSP;
+0.02 K0 K- pi0 pi+ PHSP;
+0.02 anti-K0 K+ pi0 pi- PHSP;
+0.02 eta pi0 pi+ pi- PHSP;
+0.01 eta rho- pi0 pi+ PHSP;
+0.01 eta rho+ pi0 pi- PHSP;
+Enddecay
+#
+#
+# cc= mesons
+#
+Decay eta_c
+# mainly based on PDG2005 ---------------------------------------------------
+# updated by Zaza Metreveli April, 2006
+# PDG2006 update, by Ryan Mitchell, November 2006 ---------------------------
+# Then updated by Daowen Hu June 2008 based on some preliminary results
+# (see below).
+#
+0.0273 eta' pi+ pi- PHSP;
+0.0137 eta' pi0 pi0 PHSP;
+#
+0.0067 rho0 rho0 SVV_HELAMP 1.0 0.0 0.0 0.0 -1.0 0.0;
+0.0133 rho+ rho- SVV_HELAMP 1.0 0.0 0.0 0.0 -1.0 0.0;
+#
+0.0046 K*+ K*- SVV_HELAMP 1.0 0.0 0.0 0.0 -1.0 0.0;
+0.0046 K*0 anti-K*0 SVV_HELAMP 1.0 0.0 0.0 0.0 -1.0 0.0 ;
+#
+0.0150 K*0 anti-K*0 pi+ pi- PHSP;
+#
+0.00025 phi K+ K- PHSP;
+0.0027 phi phi SVV_HELAMP 1.0 0.0 0.0 0.0 -1.0 0.0;
+0.0100 f_2 f_2 PHSP;
+# Used 18 modes from Tomaradze Feb 08 PTA talk
+0.009957 K+ K- pi0 PHSP;
+0.0029 K_S0 K_S0 pi0 PHSP;
+0.0029 K_L0 K_L0 pi0 PHSP;
+0.0058 K_S0 K_L0 pi0 PHSP;
+0.0089335 K+ K_S0 pi- PHSP;
+0.0089335 K+ K_L0 pi- PHSP;
+0.0089335 K- K_S0 pi+ PHSP;
+0.0089335 K- K_L0 pi+ PHSP;
+0.015984 eta pi+ pi- PHSP;
+0.007992 eta pi0 pi0 PHSP;
+0.005211 K+ K- eta PHSP;
+0.001396 p+ anti-p- pi0 PHSP;
+0.021496 pi+ pi- pi0 pi0 PHSP;
+0.004560 p+ anti-p- pi+ pi- PHSP;
+0.028475 pi+ pi- pi+ pi- eta PHSP;
+0.026800 K+ K- pi+ pi- pi0 PHSP;
+0.005304 K+ K- pi+ pi- eta PHSP;
+0.007072 K_S0 K+ pi+ pi- pi- PHSP;
+0.007072 K_S0 K- pi- pi+ pi+ PHSP;
+0.007072 K_L0 K+ pi+ pi- pi- PHSP;
+0.007072 K_L0 K- pi- pi+ pi+ PHSP;
+0.104222 pi+ pi- pi+ pi- pi0 pi0 PHSP;
+0.000623 p+ anti-p- PHSP;
+#
+#Inclusive modes updated by Daowen Hu June 2008 based on PDG2008 ---------
+# Inclusive rates after subtracting exclusive ones by Daowen Hu 2008
+# No Subtracted: ///K*0 anti-K*0 from 0.01
+0.01 anti-K*0 K+ pi- PHSP;
+# No Subtracted: ///K*0 anti-K*0 from 0.01
+0.01 K*0 K- pi+ PHSP;
+# subtracted: rho0 rho0, f_2 f_2 from 0.010701
+0.00080875 pi+ pi- pi+ pi- PHSP;
+# subtracted: f_2 f_2 from 0.014796
+0.0144796 pi+ pi- pi+ pi- pi+ pi- PHSP;
+# subtracted: phi K+ K-, phi phi, f_2 f_2 from 0.001396
+0.000617041 K+ K- K+ K- PHSP;
+# subtracted K*0 K- pi+, anti-K*0 K+ pi-, f_2 f_2 from 0.005583
+# set it zero since it is -0.00595534
+0.0000 K+ K- pi+ pi- PHSP;
+# subtracted: K*0 anti-K*0 pi+ pi-, f_2 f_2 from 0.007072
+0.000411772 K+ K- pi+ pi- pi+ pi- PHSP;
+
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 pi0 PHSP;
+0.0000 omega pi0 PHSP;
+0.0000 phi pi0 PHSP;
+0.0000 gamma pi0 PHSP;
+0.0000 rho0 eta PHSP;
+0.0000 omega eta PHSP;
+0.0000 phi eta PHSP;
+0.0000 gamma eta PHSP;
+0.0000 rho0 eta' PHSP;
+0.0000 omega eta' PHSP;
+0.0000 phi eta' PHSP;
+0.0000 gamma eta' PHSP;
+#
+0.0003 gamma gamma PHSP;
+.557590837 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+#
+Decay eta_c(2S)
+#PDG2006 update, by Ryan Mitchell, November 2006 ----------------------------
+# numbers are copied from eta_c
+#0.0117 K+ K- pi0 PHSP;
+#0.0117 K0 anti-K0 pi0 PHSP;
+#0.0233 K+ anti-K0 pi- PHSP;
+#0.0233 K- K0 pi+ PHSP;
+0.0117 K+ K- pi0 PHSP;
+0.0029 K_S0 K_S0 pi0 PHSP;
+0.0029 K_L0 K_L0 pi0 PHSP;
+0.0058 K_S0 K_L0 pi0 PHSP;
+0.0117 K+ K_S0 pi- PHSP;
+0.0117 K+ K_L0 pi- PHSP;
+0.0117 K- K_S0 pi+ PHSP;
+0.0117 K- K_L0 pi+ PHSP;
+#
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 pi0 PHSP;
+0.0000 omega pi0 PHSP;
+0.0000 phi pi0 PHSP;
+0.0000 gamma pi0 PHSP;
+0.0000 rho0 eta PHSP;
+0.0000 omega eta PHSP;
+0.0000 phi eta PHSP;
+0.0000 gamma eta PHSP;
+0.0000 rho0 eta' PHSP;
+0.0000 omega eta' PHSP;
+0.0000 phi eta' PHSP;
+0.0000 gamma eta' PHSP;
+#
+0.9299 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+#
+#
+# J/psi decays were updated by Istvan Danko June, 2006
+#
+#PDG2006 update, by Ryan Mitchell, November 2006
+#
+Decay J/psi
+#CLNS 08/2027----------------------------------------------------------------
+0.000012 gamma gamma gamma PHSP;
+#CLNS 08/2021----------------------------------------------------------------
+0.0198 gamma eta_c HELAMP 1. 0. -1. 0. ;
+#PDG2008---------------------------------------------------------------------
+0.0594 e+ e- PHOTOS VLL;
+0.0593 mu+ mu- PHOTOS VLL;
+0.00563 rho0 pi0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00563 rho+ pi- PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00563 rho- pi+ PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00363 a_20 rho0 PHSP;
+0.00363 a_2+ rho- PHSP;
+0.00363 a_2- rho+ PHSP;
+0.0043 omega f_2 PHSP;
+0.0030 K*0 anti-K_2*0 PHSP;
+0.0030 anti-K*0 K_2*0 PHSP;
+0.000146 K_S0 K_L0 VSS;
+0.0004 omega K_S0 K_L0 PHSP;
+0.000237 K+ K- VSS;
+0.000147 pi+ pi- VSS;
+0.00076 omega K*0 K_S0 PHSP;
+0.00076 omega K*0 K_L0 PHSP;
+0.00076 omega anti-K*0 K_S0 PHSP;
+0.00076 omega anti-K*0 K_L0 PHSP;
+0.00153 omega K*+ K- PHSP;
+0.00153 omega K*- K+ PHSP;
+0.00256 K*+ K- PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00256 K*- K+ PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0010975 K*0 K_S0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0010975 K*0 K_L0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0010975 anti-K*0 K_S0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0010975 anti-K*0 K_L0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+#We just changed the names from K_1+(and K_1-) to K'_1+ (and K'_1-).
+0.0019 K'_1+ K- PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0019 K'_1- K+ PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+#
+0.0015 b_1+ pi- PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0015 b_1- pi+ PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.00170 omega pi- K+ K_S0 PHSP;
+0.00170 omega pi+ K- K_S0 PHSP;
+0.0023 b_10 pi0 PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0011 eta K+ K_S0 pi- PHSP;
+0.0011 eta K- K_S0 pi+ PHSP;
+0.00027 phi K*0 K_S0 PHSP;
+0.00027 phi K*0 K_L0 PHSP;
+0.00027 phi anti-K*0 K_S0 PHSP;
+0.00027 phi anti-K*0 K_L0 PHSP;
+0.00055 phi K*+ K- PHSP;
+0.00055 phi K*- K+ PHSP;
+0.0008 Delta++ anti-p- pi- PHSP;
+0.0008 anti-Delta-- p+ pi+ PHSP;
+0.0011 omega p+ anti-p- PHSP;
+0.0011 Delta++ anti-Delta-- PHSP;
+0.00052 Sigma- anti-Sigma+ PHSP;
+0.00052 Sigma+ anti-Sigma- PHSP;
+0.0009 p+ anti-p- eta' PHSP;
+0.0008 phi f'_2 PHSP;
+0.00094 phi pi+ pi- PHSP;
+0.00056 phi pi0 pi0 PHSP;
+0.00036 phi K+ K_S0 pi- PHSP;
+0.00036 phi K- K_S0 pi+ PHSP;
+0.00068 omega f_1 PHSP;
+0.00174 omega eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00074 phi eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00045 omega pi0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00040 phi eta' PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000193 rho0 eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000105 rho0 eta' PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00075 Xi*- anti-Xi*+ PHSP;
+0.00051 p+ K- anti-Sigma*0 PHSP;
+0.00032 phi f_0 PHSP;
+0.000155 Sigma*- anti-Sigma*+ PHSP;
+0.000155 Sigma*+ anti-Sigma*- PHSP;
+0.00026 phi f_1 PHSP;
+0.000182 omega eta' PHSP;
+0.00014 omega f_0 PHSP;
+0.000045 p+ anti-p- phi PHSP;
+0.00023 K*0 anti-K*0 PHSP;
+0.00072 phi f_2 PHSP;
+0.004 n0 anti-n0 pi+ pi- PHSP;
+0.00129 Sigma0 anti-Sigma0 PHSP;
+0.00217 p+ anti-p- PHSP;
+0.00209 p+ anti-p- eta PHSP;
+0.00212 p+ anti-n0 pi- PHSP;
+0.0022 n0 anti-n0 PHSP;
+0.0009 Xi0 anti-Xi0 PHSP;
+0.0009 Xi- anti-Xi+ PHSP;
+0.00161 Lambda0 anti-Lambda0 PHSP;
+0.00109 p+ anti-p- pi0 PHSP;
+0.000415 Lambda0 anti-Sigma- pi+ PHSP;
+0.000415 anti-Lambda0 Sigma+ pi- PHSP;
+0.00089 p+ K- anti-Lambda0 PHSP;
+0.00026 Lambda0 anti-Lambda0 eta PHSP;
+0.000325 anti-Lambda0 n0 K_S0 PHSP;
+0.000325 Lambda0 anti-n0 K_S0 PHSP;
+0.00029 p+ K- anti-Sigma0 PHSP;
+0.000064 Lambda0 anti-Lambda0 pi0 PHSP;
+0.000615 eta phi f_0 PHSP;
+#
+0.00203 gamma eta pi0 pi0 PHSP;
+0.0030 gamma rho+ rho- PHSP;
+0.0015 gamma rho0 rho0 PHSP;
+0.00471 gamma eta' HELAMP 1. 0. -1. 0. ;
+0.0055 gamma eta(1405) HELAMP 1. 0. -1. 0. ;
+0.00145 gamma eta(1475) HELAMP 1. 0. -1. 0. ;
+0.00098 gamma eta HELAMP 1. 0. -1. 0. ;
+0.00177 gamma f_2 f_2 PHSP;
+0.0027 gamma f_4(2050) PHSP;
+0.00161 gamma omega omega PHSP;
+0.00143 gamma f_2 PHSP;
+0.00199 gamma f_0(1710) PHSP;
+0.00194 gamma K*0 anti-K*0 PHSP;
+0.00079 gamma f'_1 PHSP;
+0.00061 gamma f_1 PHSP;
+0.00045 gamma f'_2 PHSP;
+0.00093 gamma f_2(1950) PHSP;
+0.0004 gamma K*+ K*- PHSP;
+0.0004 gamma phi phi PHSP;
+0.00038 gamma p+ anti-p- PHSP;
+0.00018 gamma K- K+ pi0 PHSP;
+0.00018 gamma K0 anti-K0 pi0 PHSP;
+0.00018 gamma K- K0 pi+ PHSP;
+0.00018 gamma K+ anti-K0 pi- PHSP;
+0.000033 gamma pi0 PHSP;
+0.0088 gamma e+ e- PHSP;
+#Inclusive modes updated by Daowen Hu June 2008 based on PDG2008 ---------
+# subtracted: a_20 rho0, omega f_2, omega f_1 from 0.0085
+0.00789645 omega pi+ pi- pi+ pi- PHSP;
+# subtracted: omega eta from 0.004
+0.00360676 omega pi+ pi- pi0 PHSP;
+# subtracted: omega eta from 0.0086
+0.00820676 omega pi+ pi- PHSP;
+# subtracted: omega f_2, b_10 pi0, omega f_0 from 0.0034
+# set it zero since it is -0.00014532
+0.0000 omega pi0 pi0 PHSP;
+# subtracted: omega f_2, omega f_0 from 0.0002
+0.00014285 omega K_S0 K_S0 PHSP;
+# subtracted: omega f_2, omega f_0 from 0.0002
+0.00014285 omega K_L0 K_L0 PHSP;
+# subtracted: K'_1+ K-, K'_1- K+, omega f_0 omega phi from 0.0008
+0.0006477 omega K+ K- PHSP;
+# subtracted: omega phi from 0.00166
+0.0016 phi pi+ pi- pi+ pi- PHSP;
+# subtracted: phi f_2, phi f'_2, phi f_0 from 0.00023
+0.000026 phi K_S0 K_S0 PHSP;
+# subtracted: phi f_2, phi f'_2, phi f_0 from 0.00023
+0.000026 phi K_L0 K_L0 PHSP;
+# subtracted: No subtraction
+0.00046 phi K_S0 K_L0 PHSP;
+# subtracted: phi f_2, phi f'_2, phi f_0 from 0.00091
+0.00005 phi K+ K- PHSP;
+# subtracted: omega eta, rho0 eta from 0.0004
+0.000168546 eta pi+ pi- PHSP;
+# subtracted: a_20 rho0, a_2+ rho-, a_2- rho+, omega f_2, b_1+ pi-
+# b_1- pi+, phi f_2, omega eta, phi f'_2, phi pi+ pi-, omega pi0
+# phi f_0, omega f_0, rho0 eta, omega pi+ pi- pi0, omega pi+ pi- pi0
+# eta pi+ pi- from 0.041
+0.0303809 pi+ pi- pi+ pi- pi0 PHSP;
+# subtracted: a_20 rho0, omega f_2, phi f_2, omega eta, omega f_1
+# phi f_1, omega eta', rho0 eta', eta pi+ pi- pi+ pi-, omega pi+ pi- pi+ pi-
+# omega pi+ pi- pi0, phi pi+ pi- pi+ pi- from 0.029
+0.0201089 pi+ pi- pi+ pi- pi+ pi- pi0 PHSP;
+# subtracted: omega f_1, omega eta', eta pi+ pi- pi+ pi- pi+ pi- from 0.009
+0.00883721 pi+ pi- pi+ pi- pi+ pi- pi+ pi- pi0 PHSP;
+# subtracted: from rho0 pi0, rho+ pi-, rho- pi+, omega pi0 from 0.0207
+0.0038 pi+ pi- pi0 PHSP;
+# subtracted: omega f_2, K*0 anti-K_2*0, K*0 anti-K_2*0, anti-K*0 K_2*0
+# omega K*+ K-, omega K*- K+, K'_1+ K-, K'_1- K+, phi f_2, phi f'_2
+# omega f_1, phi eta, phi f_0, omega f_0, omega K+ K-, phi K+ K-
+# from 0.0179
+0.015975 pi+ pi- pi0 K+ K- PHSP;
+# subtracted: a_20 rho0, omega f_2, K*0 anti-K_2*0, anti-K*0 K_2*0, K'_1+ K-
+# K'_1- K+, K*0 anti-K*0, phi f_2, phi f'_2, phi pi+ pi-, phi f_0, omega f_0
+# omega K+ K- from 0.0066
+0.00263825 pi+ pi- K+ K- PHSP;
+# subtracted: phi eta', phi f_1, eta phi f_0 from 0.00184
+0.00155604 pi+ pi- K+ K- eta PHSP;
+# subtracted: K'_1+ K-, K'_1- K+, phi f_2, phi f'_2, phi pi0 pi0, phi f_0
+# from 0.00245
+0.0016157 pi0 pi0 K+ K- PHSP;
+# subtracted: omega f_2, b_1+ pi-, b_1- pi+, omega f_0 from 0.00355
+0.00342851 pi+ pi- pi+ pi- PHSP;
+# subtracted: a_20 rho0, omega f_2, b_1+ pi-, b_1- pi+, omega f_1
+# omega f_0, omega pi+ pi- pi+ pi- from 0.0043
+0.00410665 pi+ pi- pi+ pi- pi+ pi- PHSP;
+# subtracted: a_20 rho0, a_2+ rho-, a_2- rho+, omega f_2, b_10 pi0,
+# omega eta, omega f_1, phi eta, omega f_0, omega pi+ pi- pi0 from 0.0162
+0.00495075 pi+ pi- pi0 pi+ pi- pi0 PHSP;
+# subtracted: omega eta, omega f_1, rho0 eta', omega eta' from 0.00229
+0.00223578 eta pi+ pi- pi+ pi- PHSP;
+# subtracted: omega f_1, omega eta' from 0.00072
+0.000719702 eta pi+ pi- pi+ pi- pi+ pi- PHSP;
+# subtracted: Delta++ anti-p- pi-, anti-Delta-- p+ pi+,
+# omega p+ anti-p-, Delta++ anti-Delta--, Lambda0 anti-Lambda0 from 0.006
+0.00261829 p+ anti-p- pi+ pi- PHSP;
+# subtracted: omega f_2, K*0 anti-K_2*0, K'_1+ K-, K'_1- K+, phi f_2,
+# phi f_1, omega f_0, omega K+ K-, phi pi+ pi- pi+ pi- from 0.0047
+0.00374086 pi+ pi- pi+ pi- K+ K- PHSP;
+# subtracted: p+ anti-p- phi, omega p+ anti-p-, p+ anti-p- eta
+# Lambda0 anti-Sigma- pi+, anti-Lambda0 Sigma+ pi-, Lambda0 anti-Lambda0 pi0
+# from 0.0023
+0.000544286 p+ anti-p- pi+ pi- pi0 PHSP;
+# subtracted: phi f_2, phi f'_2, phi f_0, phi K+ K- from 0.00076
+0.000535476 K+ K- K+ K- PHSP;
+# subtracted: omega f_2, b_1+ pi-, b_1- pi+, phi f_2, omega eta, phi f'_2
+# phi pi+ pi-, phi f_0, omega f_0, gamma eta(1405), gamma f_4(2050)
+# gamma f_1 from 0.00407
+0.0011357 gamma eta pi+ pi- PHSP;
+# subtracted: omega f_2, b_1+ pi-, b_1- pi+, omega eta, omega f_1
+# rho0 eta, omega eta', omega f_0, rho0 eta', gamma eta_c, gamma rho0 rho0
+# gamma eta(1405), gamma f_2 f_2, gamma f_4(2050), gamma omega omega,
+# gamma f_2, gamma f_0(1710), gamma f_1, eta pi+ pi- from 0.0028
+# set it zero since it is -0.000584387
+0.0000 gamma pi+ pi- pi+ pi- PHSP;
+# subtracted: omega f_2, K*0 anti-K_2*0, anti-K*0 K_2*0, omega K*+ K-,
+# omega K*- K+, K'_1+ K-, K'_1- K+, phi eta, phi eta', phi f_1,
+# omega f_0, gamma eta_c, gamma f_2 f_2, gamma K*0 anti-K*0, gamma f_2(1950)
+# omega K+ K- from 0.0021
+0.000723321 gamma K+ K- pi+ pi- PHSP;
+# subtracted: phi eta, omega pi0, omega f_0, gamma eta_c, gamma rho+ rho-,
+# gamma eta(1405), gamma f_2 f_2, gamma f_4(2050), gamma f_1,
+# omega pi+ pi- pi0, omega f_2, b_1+ pi-, b_1- pi+, b_10 pi0,
+# omega eta from 0.0083
+0.0009219 gamma pi+ pi- pi0 pi0 PHSP;
+#
+# the PDG inclusive KKpi values are eaten up by the K*K BF's defined above
+0.0000 K+ K- pi0 PHSP;
+0.0000 K_S0 K_S0 pi0 PHSP;
+0.0000 K_L0 K_L0 pi0 PHSP;
+0.0000 K_S0 K_L0 pi0 PHSP;
+0.0000 K- K_S0 pi+ PHSP;
+0.0000 K- K_L0 pi+ PHSP;
+0.0000 K+ K_S0 pi- PHSP;
+0.0000 K+ K_L0 pi- PHSP;
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 rho0 PHSP;
+0.0000 rho0 omega PHSP;
+0.0000 rho0 phi PHSP;
+0.0000 rho0 gamma PHSP;
+0.0000 omega omega PHSP;
+0.0000 omega phi PHSP;
+0.0000 omega gamma PHSP;
+0.0000 phi phi PHSP;
+0.0000 phi gamma PHSP;
+0.0000 gamma gamma PHSP;
+0.0000 pi0 pi0 PHSP;
+0.0000 pi0 eta PHSP;
+0.0000 pi0 eta' PHSP;
+0.0000 eta eta PHSP;
+0.0000 eta eta' PHSP;
+0.0000 eta' eta' PHSP;
+#
+0.0000 gamma rho0 pi0 PHSP;
+0.0000 gamma omega pi0 PHSP;
+0.0000 gamma phi pi0 PHSP;
+0.0000 gamma rho0 eta PHSP;
+0.0000 gamma omega eta PHSP;
+0.0000 gamma phi eta PHSP;
+0.0000 gamma rho0 eta' PHSP;
+0.0000 gamma omega eta' PHSP;
+0.0000 gamma phi eta' PHSP;
+#
+# Based on R = 2.28, taken from 9 data points in 2GeV<=sqrt(s)<=3GeV of
+# (BESII) PRL88, 101802 (2002), combined with the above B(J/psi->mu+mu-).
+0.135204 rndmflav anti-rndmflav PYTHIA 12;
+#
+# sum of non-ggg/gg gamma = 56.13%
+# CLNS 08/2026------------------------------------------------------------
+# B(gamma gg)/B(ggg) = 13.7%%
+0.385753 g g g PYTHIA 4;
+0.052848 gamma g g PYTHIA 4;
+0.0 K0 anti-K0 PHSP;
+0.0 K_S0 K_S0 PHSP;
+0.0 K_L0 K_L0 PHSP;
+#
+Enddecay
+#
+#
+# psi(2S) updates, by Ryan Mitchell, November 2006
+# fixed double-counting in inclusive modes
+#
+# Further updates were made by Daowen Hu, June 2008
+# based on newly available measurements (CLEO's, PDG2008).
+#
+Decay psi(2S)
+# CLNS 08/2025------------------------------------------------------------
+# New VVPIPI mode, implemented by James Hunt
+0.3504 J/psi pi+ pi- VVPIPI_WEIGHTED;
+0.1769 J/psi pi0 pi0 VVPIPI_WEIGHTED;
+0.0343 J/psi eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00133 J/psi pi0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+#CLNS 08/2021-------------------------------------------------------------
+0.00432 gamma eta_c HELAMP 1. 0. -1. 0. ;
+# CLNS 08/2023------------------------------------------------------------
+# Assuming B(hc -> gamma etac) = 0.377 : Phys.Rev. D66 (2002) 014012
+0.001111 h_c pi0 PHSP;
+#PDG2008------------------------------------------------------------------
+0.00752 e+ e- PHOTOS VLL;
+0.0075 mu+ mu- PHOTOS VLL;
+0.0030 tau+ tau- PHOTOS VLL;
+#
+0.0000867 a_20 rho0 PHSP;
+0.0000867 a_2+ rho- PHSP;
+0.0000867 a_2- rho+ PHSP;
+0.000124 p+ anti-n0 pi- PHSP;
+0.000124 anti-p- n0 pi+ PHSP;
+0.0012 pi+ pi- pi+ pi- eta PHSP;
+0.00022 omega f_2 PHSP;
+0.0013 K+ K- pi+ pi- eta PHSP;
+0.00013 phi f_0 PHSP;
+0.000044 phi f'_2 PHSP;
+0.000027 p+ anti-p- K+ K- PHSP;
+0.0000425 anti-Lambda0 n0 K_S0 PHSP;
+0.0000425 Lambda0 anti-n0 K_S0 PHSP;
+0.000059 omega f_0(1710) PHSP;
+0.000305 K*0 K- rho+ PHSP;
+0.000305 anti-K*0 K+ rho- PHSP;
+0.000365 K*+ K- rho0 PHSP;
+0.000365 K*- K+ rho0 PHSP;
+0.00048 K*+ K- pi+ pi- PHSP;
+0.00048 K*- K+ pi+ pi- PHSP;
+0.00043 anti-K*0 K+ pi- pi0 PHSP;
+0.00043 K*0 K- pi+ pi0 PHSP;
+0.00007 phi K- K+ PHSP;
+0.000008 rho+ pi- PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000008 rho- pi+ PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000008 rho0 pi0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000021 omega pi0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000001 phi pi0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000028 phi eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000022 rho0 eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000001 omega eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0000545 K*0 anti-K0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0000545 anti-K*0 K0 PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0000085 K*+ K- PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.0000085 K*- K+ PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00040 b_1+ pi- PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.00040 b_1- pi+ PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.00024 b_10 pi0 PARTWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.000031 phi eta' PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000032 omega eta' PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.000019 rho0 eta' PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+0.00022 rho0 pi+ pi- PHSP;
+0.00045 eta' pi+ pi- pi0 PHSP;
+0.00011 K+ K- K+ K- pi0 PHSP;
+0.00005 rho0 p+ anti-p- PHSP;
+0.00006 eta p+ anti-p- PHSP;
+0.000069 omega p+ anti-p- PHSP;
+0.00010 Lambda0 anti-p- K+ PHSP;
+0.00018 Lambda0 anti-p- K+ pi+ pi- PHSP;
+#
+0.00008 pi+ pi- VSS;
+0.000054 K_S0 K_L0 VSS;
+0.000063 K+ K- VSS;
+0.000133 p+ anti-p- pi0 PHSP;
+0.0010 K_1+ K- PHSP;
+0.0010 K_1- K+ PHSP;
+0.000128 Delta++ anti-Delta-- PHSP;
+#
+0.000274 p+ anti-p- PHSP;
+0.000280 Lambda0 anti-Lambda0 PHSP;
+0.000110 Sigma*+ anti-Sigma*- PHSP;
+0.000220 Sigma0 anti-Sigma0 PHSP;
+0.000180 Xi- anti-Xi+ PHSP;
+0.000280 Xi0 anti-Xi0 PHSP;
+#
+# Phys. Rev. D 70, 112002 (2004) -----------------------------------------
+# V-> gamma S Partial wave (L,S)=(0,1)
+0.0922 gamma chi_c0 HELAMP 1. 0. 1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.0907 gamma chi_c1 HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.0933 gamma chi_c2 HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+0.00087 gamma eta pi+ pi- PHSP;
+0.000185 gamma K*0 K+ pi- PHSP;
+0.000185 gamma anti-K*0 K- pi+ PHSP;
+0.00024 gamma K*0 anti-K*0 PHSP;
+0.00013 gamma K_S0 K+ pi- PHSP;
+0.00013 gamma K_S0 K- pi+ PHSP;
+0.000029 gamma p+ anti-p- PHSP;
+0.000028 gamma pi+ pi- p+ anti-p- PHSP;
+0.000136 gamma eta' HELAMP 1. 0. -1. 0.;
+0.00021 gamma f_2 PHSP;
+0.00014 gamma f_0(1710) PHSP;
+#Inclusive modes updated by Daowen Hu June 2008 based on PDG2008 ---------
+# subtracted: rho0 p+ anti-p-, omega p+ anti-p-, Delta++ anti-Delta-,
+# Lambda0 anti-Lambda0 from 0.0006
+0.000306145 p+ anti-p- pi+ pi- PHSP;
+# subtracted: Lambda0 anti-Lambda0 from 0.00032
+0.000255947 p+ anti-n0 pi- pi0 PHSP;
+# subtracted: b_1+ pi-, b_1- pi+, omega f_2, omega f_0(1710) from 0.00073
+# set it zero since it is -0.000200926
+0.00000 omega pi+ pi- PHSP;
+# subtracted: omega pi0, rho0 eta, omega eta, b_1+ pi-, b_1- pi+,
+# phi pi- pi+, omega f_2, phi f'_2, omega f_0(1710),
+# phi f_0, omega pi+ pi-, a_20 rho0, a_2+ rho-, a_2- rho+ from 0.0029
+0.00192894 pi+ pi- pi+ pi- pi0 PHSP;
+# subtracted: Sigma*+ anti-Sigma*-, Xi- anti-Xi+ from 0.00028
+0.000014816 Lambda0 anti-Lambda0 pi+ pi- PHSP;
+# subtracted: phi eta, omega eta, pi0 eta', a_20 rho0, a_2+ rho-
+# a_2- rho+ from 0.00095
+0.000907346 eta pi+ pi- pi0 PHSP;
+# subtracted: b_1+ pi-, b_1- pi+, rho0 pi+ pi-, omega f_0(1710)
+# omega f_2, omega pi+ pi- from 0.00024
+# set it zero since it is -5.73462e-07
+0.00000 pi+ pi- pi+ pi- PHSP;
+# subtracted: rho+ pi-, rho- pi+, rho0 pi0, omega pi0 from 0.000168
+0.000143536 pi+ pi- pi0 PHSP;
+# subtracted: phi f_0, phi f'_2 from 0.000117
+0.000049158 phi pi- pi+ PHSP;
+# subtracted: phi f_0, phi f'_2 from 0.00006
+0.000009 K+ K- K+ K- PHSP;
+# subtracted: K_1+ K-, K_1- K+, omega f_2, omega f_0(1710) from 0.000185
+# set it zero since it is -0.000053
+0.0000 omega K+ K- PHSP;
+# subtracted: phi eta, K_1+ K-, K_1- K+, omega f_2, phi f_0, phi f'_2
+# omega f_0(1710), K*0 K- rho+, anti-K*0 K+ rho-, K*+ K- rho0, K*- K+ rho0
+# phi K- K+, K*0 K- pi+ pi0, anti-K*0 K+ pi- pi0, K*- K+ pi+ pi-,
+# K*+ K- pi+ pi- from 0.00126
+# set it zero since it is -0.000511462
+0.00000 K+ K- pi+ pi- pi0 PHSP;
+# subtracted: eta p+ anti-p-, omega p+ anti-p- from 0.00073
+0.000655 p+ anti-p- pi+ pi- pi0 PHSP;
+# subtracted: omega eta, omega eta', rho0 eta', a_20 rho0,
+# pi+ pi- pi+ pi- eta, omega f_2, omega f_0(1710) from 0.0035
+0.00321329 pi+ pi- pi+ pi- pi+ pi- pi0 PHSP;
+# subtracted: b_1+ pi-, b_1- pi+, a_20 rho0, omega f_2, omega f_0(1710),
+# omega pi+ pi- from 0.00015
+0.000148732 pi+ pi- pi+ pi- pi+ pi- PHSP;
+# subtracted: phi eta', K+ K- pi+ pi- eta from 0.001
+0.0007 K+ K- pi+ pi- pi+ pi- pi0 PHSP;
+# subtracted: K_1+ K-, K_1- K+, a_20 rho0, omega f_2, phi f_0, phi f'_2
+# omega f_0(1710), phi pi- pi+, omega K+ K- from 0.00075
+# set it zero since it is -2.56397e-05
+0.0000 K+ K- pi+ pi- PHSP;
+# subtracted: K_1+ K-, K_1- K+, omega f_2, omega f_0(1710), omega K+ K-
+# from 0.0018
+0.00179976 K+ K- pi+ pi- pi+ pi- PHSP;
+# subtracted: a_20 rho0, omega f_2, omega f_0(1710) from 0.00022
+0.000218764 pi+ pi- K_S0 K_S0 PHSP;
+# subtracted: gamma chi_c0, gamma chi_c1, gamma chi_c2, gamma eta_c,
+# gamma K*0 anti-K*0, phi eta, phi eta', K_1+ K-, K_1- K+, omega phi
+# omega f_2, omega f_0(1710), K*+ K- rho0, K*- K+ rho0
+# K*+ K- pi+ pi-, K*- K+ pi+ pi-, omega K+ K- etc from 0.00019
+# -0.00283242
+0.00000 gamma K+ K- pi+ pi- PHSP;
+# subtracted: gamma chi_c0, gamma chi_c1, gamma chi_c2, gamma eta_c
+# omega eta, rho0 eta, b_1+ pi-, b_1- pi+, omega eta', rho0 eta'
+# gamma f_2, gamma f_0(1710), omega f_2, omega f_0(1710), omega pi+ pi-
+# from 0.0004
+# set it zero since it is -0.00338959
+0.00000 gamma pi+ pi- pi+ pi- PHSP;
+# subtracted: K_1+ K-, K_1- K+, rho0 phi, a_20 rho0 from 0.00022
+0.00000 rho0 K+ K- PHSP;
+#
+# PRD72, 051108 (2005) --------------------------------------------------
+0.000072 Xi*0 anti-Xi*0 PHSP;
+0.000070 Omega- anti-Omega+ PHSP;
+#
+0.0 K0 anti-K0 PHSP;
+0.0 K_S0 K_S0 PHSP;
+0.0 K_L0 K_L0 PHSP;
+#
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 rho0 PHSP;
+0.0000 rho0 omega PHSP;
+0.0000 rho0 phi PHSP;
+0.0000 rho0 gamma PHSP;
+0.0000 omega omega PHSP;
+0.0000 omega phi PHSP;
+0.0000 omega gamma PHSP;
+0.0000 phi phi PHSP;
+0.0000 phi gamma PHSP;
+0.0000 gamma gamma PHSP;
+0.0000 pi0 pi0 PHSP;
+0.0000 pi0 eta PHSP;
+0.0000 pi0 eta' PHSP;
+0.0000 eta eta PHSP;
+0.0000 eta eta' PHSP;
+0.0000 eta' eta' PHSP;
+#
+0.0000 gamma rho0 pi0 PHSP;
+0.0000 gamma omega pi0 PHSP;
+0.0000 gamma phi pi0 PHSP;
+0.0000 gamma rho0 eta PHSP;
+0.0000 gamma omega eta PHSP;
+0.0000 gamma phi eta PHSP;
+0.0000 gamma rho0 eta' PHSP;
+0.0000 gamma omega eta' PHSP;
+0.0000 gamma phi eta' PHSP;
+#
+# Based on R = 2.28, taken from 9 data points in 2GeV<=sqrt(s)<=3GeV of
+# (BESII) PRL88, 101802 (2002), combined with the above B(psi(2S)->mu+mu-).
+0.01710 rndmflav anti-rndmflav PYTHIA 12;
+#
+# g g g / g g gammg ratio (preliminary/private communication)
+# messured by David Besson: 4% which is MUCH smaller than
+# the previously used value, 7.1%. We use "4%" now.
+#
+0.090726 g g g PYTHIA 4;
+0.003628 gamma g g PYTHIA 4;
+Enddecay
+#
+Decay psi(4040)
+0.000014 e+ e- PHOTOS VLL;
+0.000014 mu+ mu- PHOTOS VLL;
+0.000005 tau+ tau- VLL;
+0.0021 D0 anti-D0 VSS;
+0.0009 D+ D- VSS;
+0.1679 D*0 anti-D0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1679 anti-D*0 D0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1815 D*+ D- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1815 D*- D+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.1597 D*0 anti-D*0 PHSP;
+0.0982 D*+ D*- PHSP;
+0.0000 D0 anti-D0 pi0 PHSP;
+0.0000 D+ D- pi0 PHSP;
+0.0000 D0 D- pi+ PHSP;
+0.0000 anti-D0 D+ pi- PHSP;
+0.0000 D*+ D- pi0 PHSP;
+0.0000 D*- D+ pi0 PHSP;
+0.0000 D*+ anti-D0 pi- PHSP;
+0.0000 D*- D0 pi+ PHSP;
+0.0000 D+ anti-D*0 pi- PHSP;
+0.0000 D- D*0 pi+ PHSP;
+0.0403 D_s+ D_s- VSS;
+Enddecay
+#
+Decay psi(4160)
+0.00001 e+ e- PHOTOS VLL;
+0.00001 mu+ mu- PHOTOS VLL;
+0.000006 tau+ tau- VLL;
+0.0397 D0 anti-D0 VSS;
+0.0387 D+ D- VSS;
+0.0520 D*0 anti-D0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0520 anti-D*0 D0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0515 D*+ D- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0515 D*- D+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.29863 D*0 anti-D*0 PHSP;
+0.3082 D*+ D*- PHSP;
+0.0000 D0 anti-D0 pi0 PHSP;
+0.0000 D+ D- pi0 PHSP;
+0.0000 D0 D- pi+ PHSP;
+0.0000 anti-D0 D+ pi- PHSP;
+0.0000 D*+ D- pi0 PHSP;
+0.0000 D*- D+ pi0 PHSP;
+0.0000 D*+ anti-D0 pi- PHSP;
+0.0000 D*- D0 pi+ PHSP;
+0.0000 D+ anti-D*0 pi- PHSP;
+0.0000 D- D*0 pi+ PHSP;
+0.0100 D_s+ D_s- VSS;
+0.0489 D_s*+ D_s- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0489 D_s*- D_s+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0000 D_s+ D_s- pi0 PHSP;
+Enddecay
+#
+Decay psi(4415)
+0.000011 e+ e- PHOTOS VLL;
+0.000011 mu+ mu- PHOTOS VLL;
+0.000007 tau+ tau- VLL;
+0.0244 D0 anti-D0 VSS;
+0.0219 D+ D- VSS;
+0.0320 D*0 anti-D0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0320 anti-D*0 D0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0343 D*+ D- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0343 D*- D+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.3451 D*0 anti-D*0 PHSP;
+0.3539 D*+ D*- PHSP;
+0.0000 D0 anti-D0 pi0 PHSP;
+0.0000 D+ D- pi0 PHSP;
+0.0000 D0 D- pi+ PHSP;
+0.0000 anti-D0 D+ pi- PHSP;
+0.0000 D*+ D- pi0 PHSP;
+0.0000 D*- D+ pi0 PHSP;
+0.0000 D*+ anti-D0 pi- PHSP;
+0.0000 D*- D0 pi+ PHSP;
+0.0000 D+ anti-D*0 pi- PHSP;
+0.0000 D- D*0 pi+ PHSP;
+0.0118 D_s+ D_s- VSS;
+0.0420 D_s*+ D_s- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0420 D_s*- D_s+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0;
+0.0263 D_s*+ D_s*- PHSP;
+0.0000 D_s+ D_s- pi0 PHSP;
+0.0000 D_s*+ D_s- pi0 PHSP;
+0.0000 D_s+ D_s*- pi0 PHSP;
+0.0000 D_s+ D- anti-K0 PHSP;
+0.0000 D_s- D+ anti-K0 PHSP;
+0.0000 D0 D_s- K+ PHSP;
+0.0000 anti-D0 D_s+ K- PHSP;
+Enddecay
+#
+#
+# chi_cJ (J=0,1,2) decays were updated by Rukshana Patel June, 2006
+#
+Decay chi_c0
+#CLNS 08/2025-------------------------------------------------------------
+# S-> gamma V Partial wave (L,S)=(0,0)
+0.0136 gamma J/psi HELAMP 1. 0. 1. 0.;
+#CLNS 08/2019-------------------------------------------------------------
+0.000241 gamma gamma PHSP;
+#CPDRAFT2008 -------------------------------------------------------------
+0.000257 p+ anti-p- PHSP;
+0.000338 Lambda0 anti-Lambda0 PHSP;
+0.000441 Sigma0 anti-Sigma0 PHSP;
+0.000325 Sigma+ anti-Sigma- PHSP;
+0.000514 Xi- anti-Xi+ PHSP;
+0.000334 Xi0 anti-Xi0 PHSP;
+#CLNS 07/2007-------------------------------------------------------------
+0.0152 rho0 pi+ pi- PHSP;
+0.0152 rho+ pi- pi0 PHSP;
+0.0152 rho- pi+ pi0 PHSP;
+0.0059 K+ K- pi0 pi0 PHSP;
+0.0011 pi0 pi0 p+ anti-p- PHSP;
+0.0032 K+ K- eta pi0 PHSP;
+0.0028 K*0 anti-K0 pi0 PHSP;
+0.0028 anti-K*0 K0 pi0 PHSP;
+0.0037 K*+ K- pi0 PHSP;
+0.0037 K*- K+ pi0 PHSP;
+0.0048 K*+ pi- anti-K0 PHSP;
+0.0048 K*- pi+ anti-K0 PHSP;
+0.0132 K+ pi- anti-K0 pi0 PHSP;
+0.0132 K- pi+ K0 pi0 PHSP;
+0.0354 pi+ pi- pi0 pi0 PHSP;
+#CBX07-28 ----------------------------------------------------------------
+0.00637 pi+ pi- PHSP;
+0.00294 pi0 pi0 PHSP;
+0.00647 K+ K- PHSP;
+0.00349 K_S0 K_S0 PHSP;
+0.00349 K_L0 K_L0 PHSP;
+#CBX07-29 ----------------------------------------------------------------
+0.00318 eta eta PHSP;
+0.00212 eta' eta' PHSP;
+#PDG2008 updates ---------------------------------------------------------
+0.00029 f_0 f_0 PHSP;
+0.0063 f'_0 f_0(1710) PHSP;
+0.0036 anti-K*0 K+ pi- PHSP;
+0.0036 K*0 K- pi+ PHSP;
+0.0083 K_1+ K- PHSP;
+0.0083 K_1- K+ PHSP;
+0.0023 omega omega PHSP;
+0.00101 K+ K- phi PHSP;
+0.00093 phi phi PHSP;
+0.00058 p+ anti-p- pi0 PHSP;
+0.00038 p+ anti-p- eta PHSP;
+0.0018 anti-K*0 K*0 PHSP;
+0.00117 p+ anti-n0 pi- PHSP;
+0.000525 K+ anti-p- Lambda0 PHSP;
+0.000525 K- p+ anti-Lambda0 PHSP;
+0.00230 K_0*0 anti-K_0*0 PHSP;
+0.00187 K_0*0 anti-K_2*0 PHSP;
+0.00187 anti-K_0*0 K_2*0 PHSP;
+#Inclusive modes updated by Daowen Hu June 2008 based on PDG2008 ---------
+# subtracted: rho0 pi+ pi-, f_0 f_0, omega omega from 0.0223
+0.00702992 pi+ pi- pi+ pi- PHSP;
+# subtracted: anti-K*0 K*0, anti-K*0 K+ pi-, K*0 K- pi+, f_0 f_0, K_1+ K-
+# K_1- K+, K_0*0 anti-K_0*0, anti-K_0*0 K_2*0 from 0.0179
+0.00449195 pi+ pi- K+ K- PHSP;
+# subtracted: omega omega from 0.0120
+0.0119999 pi+ pi- pi+ pi- pi+ pi- PHSP;
+# subtracted: f_0 f_0 from 0.0015
+0.00149691 K+ K- K_S0 K_S0 PHSP;
+# subtracted: K+ K- phi, f_0 f_0, phi phi from 0.00281
+0.0020868 K+ K- K+ K- PHSP;
+# subtracted: f_0 f_0, K*+ K_S0 pi-, K*- K_S0 pi+, K*+ pi- anti-K0
+# K*- pi+ anti-K0 from 0.0059
+0.00228901 pi+ pi- K_S0 K_S0 PHSP;
+# subtracted: Lambda0 anti-Lambda0 from 0.0021
+0.00196199 pi+ pi- p+ anti-p- PHSP;
+#
+#assume to be the same as K*0 K- pi+
+0.0036 K*+ K_S0 pi- PHSP;
+0.0036 K*+ K_L0 pi- PHSP;
+0.0036 K*- K_S0 pi+ PHSP;
+0.0036 K*- K_L0 pi+ PHSP;
+#BES,PLB630(2005),21-30 --------------------------------------------------
+0.0 K_S0 K_L0 PHSP;
+0.0 K0 anti-K0 PHSP;
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 pi0 PHSP;
+0.0000 omega pi0 PHSP;
+0.0000 phi pi0 PHSP;
+0.0000 gamma pi0 PHSP;
+0.0000 rho0 eta PHSP;
+0.0000 omega eta PHSP;
+0.0000 phi eta PHSP;
+0.0000 gamma eta PHSP;
+0.0000 rho0 eta' PHSP;
+0.0000 omega eta' PHSP;
+0.0000 phi eta' PHSP;
+0.0000 gamma eta' PHSP;
+#
+0.72428 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+#
+Decay chi_c1
+#CLNS 08/2025-------------------------------------------------------------
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.393 gamma J/psi HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+#CPDRAFT2008-011----------------------------------------------------------
+0.000090 p+ anti-p- PHSP;
+0.00024 Lambda0 anti-Lambda0 PHSP;
+0.000086 Xi- anti-Xi+ PHSP;
+#CLNS 07/2007-------------------------------------------------------------
+0.0078 rho0 pi+ pi- PHSP;
+0.0078 rho+ pi- pi0 PHSP;
+0.0078 rho- pi+ pi0 PHSP;
+0.0012 K+ K- pi0 pi0 PHSP;
+0.0012 K+ K- eta pi0 PHSP;
+0.0019 K*0 anti-K0 pi0 PHSP;
+0.0019 anti-K*0 K0 pi0 PHSP;
+0.0046 K+ pi- anti-K0 pi0 PHSP;
+0.0046 K- pi+ K0 pi0 PHSP;
+#PDG2008------------------------------------------------------------------
+0.0058 pi+ pi- pi+ pi- pi+ pi- PHSP;
+0.0025 pi+ pi- eta' PHSP;
+0.00035 K+ K- eta PHSP;
+0.00385 K0 K+ pi- PHSP;
+0.00385 anti-K0 K- pi+ PHSP;
+0.0011 a_0+ pi- PHSP;
+0.0011 a_0- pi+ PHSP;
+0.003 f_2 eta PHSP;
+0.0016 anti-K*0 K+ pi- PHSP;
+0.0016 K*0 K- pi+ PHSP;
+0.0016 anti-K*0 K*0 PHSP;
+0.00055 K*0 anti-K0 PHSP;
+0.00055 anti-K*0 K0 PHSP;
+0.00385 pi+ K- K0 PHSP;
+0.00385 pi- K+ anti-K0 PHSP;
+0.0008 K*+ K- PHSP;
+0.0008 K*- K+ PHSP;
+0.00058 K+ K- K+ K- PHSP;
+0.00045 K+ K- phi PHSP;
+0.00012 p+ anti-p- pi0 PHSP;
+0.00034 K+ anti-p- Lambda0 PHSP;
+0.00034 K- p+ anti-Lambda0 PHSP;
+#Inclusive modes updated by Daowen Hu June 2008 based on PDG2008 ---------
+# subtracted: rho0 pi+ pi- from 0.0076, set it zero since it is -0.0002
+0.0000 pi+ pi- pi+ pi- PHSP;
+# subtracted: anti-K*0 K*0, K_2*+ K-, K_2*- K+, anti-K*0 K+ pi-, K*0 K- pi+
+# from 0.0045
+0.00146781 pi+ pi- K+ K- PHSP;
+# subtracted: a_0+ pi-, a_0- pi+, f_2 eta from 0.0058
+0.002125 pi+ pi- eta PHSP;
+# subtracted: K*+ K-, K*- K+, K_0*+ K-, K_0*- K+, K_2*+ K-, K_2*- K+
+# phi pi0 from 0.00201
+0.000658166 K+ K- pi0 PHSP;
+# subtracted: K*+ K_S0 pi-, K*- K_S0 pi+, anti-K_2*0 K0, K_2*0 anti-K0
+# from 0.00076
+0.000178958 pi+ pi- K_S0 K_S0 PHSP;
+## inclusive = 0.00049
+# subtracted: Lambda0 anti-Lambda0 from 0.0005
+0.000402003 pi+ pi- p+ anti-p- PHSP;
+#
+#assume to be the same as K*0 K- pi+
+0.0008 K*+ K_S0 pi- PHSP;
+0.0008 K*+ K_L0 pi- PHSP;
+0.0008 K*- K_S0 pi+ PHSP;
+0.0008 K*- K_L0 pi+ PHSP;
+#
+0.0012 K+ K_S0 pi- PHSP;
+0.0012 K- K_S0 pi+ PHSP;
+#
+0.0 K0 anti-K0 PHSP;
+0.0 K_S0 K_L0 PHSP;
+# force it so that PYTHIA won't generate this
+0.00000 pi+ pi- PHSP;
+#
+# 0.00195 * 30.4% / 2 / 0.3333
+0.00089 K_0*+ K- PHSP;
+0.00089 K_0*- K+ PHSP;
+0.00089 anti-K_0*0 K0 PHSP;
+0.00089 K_0*0 anti-K0 PHSP;
+# 0.00195 * 23.1% / 2 / 0.331
+0.00068 K_2*+ K- PHSP;
+0.00068 K_2*- K+ PHSP;
+0.00068 anti-K_2*0 K0 PHSP;
+0.00068 K_2*0 anti-K0 PHSP;
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 pi0 PHSP;
+0.0000 omega pi0 PHSP;
+0.0000 phi pi0 PHSP;
+0.0000 gamma pi0 PHSP;
+0.0000 rho0 eta PHSP;
+0.0000 omega eta PHSP;
+0.0000 phi eta PHSP;
+0.0000 gamma eta PHSP;
+0.0000 rho0 eta' PHSP;
+0.0000 omega eta' PHSP;
+0.0000 phi eta' PHSP;
+0.0000 gamma eta' PHSP;
+#
+0.512492 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+#
+Decay chi_c2
+#CLNS 08/2025-------------------------------------------------------------
+# T-> gamma V Partial wave (L,S)=(0,2)
+0.209 gamma J/psi HELAMP 1. 0. 1.7320508 0. 2.4494897
+ 0. 2.4494897 0. 1.7320508 0. 1. 0.;
+#CLNS 08.2019-------------------------------------------------------------
+0.000289 gamma gamma PHSP;
+#CPDRAFT2008-011----------------------------------------------------------
+0.000077 p+ anti-p- PHSP;
+0.00017 Lambda0 anti-Lambda0 PHSP;
+0.000145 Xi- anti-Xi+ PHSP;
+#CLNS 07/2007-------------------------------------------------------------
+0.01115 rho0 pi+ pi- PHSP;
+0.01115 rho+ pi- pi0 PHSP;
+0.01115 rho- pi+ pi0 PHSP;
+0.0021 K+ K- pi0 pi0 PHSP;
+0.008 pi0 pi0 p+ anti-p- PHSP;
+0.0013 K+ K- eta pi0 PHSP;
+0.00295 K*0 anti-K0 pi0 PHSP;
+0.00295 anti-K*0 K0 pi0 PHSP;
+0.0045 K*0 K- pi+ PHSP;
+0.0045 anti-K*0 K+ pi- PHSP;
+0.00285 K*+ K- pi0 PHSP;
+0.00285 K*- K+ pi0 PHSP;
+0.0045 K*+ anti-K0 pi- PHSP;
+0.0045 K*- K0 pi+ PHSP;
+0.00705 K+ pi- anti-K0 pi0 PHSP;
+0.00705 K- pi+ K0 pi0 PHSP;
+#CBX07-28-----------------------------------------------------------------
+0.00159 pi+ pi- TSS;
+0.00068 pi0 pi0 TSS;
+0.00113 K+ K- TSS;
+0.00053 K_S0 K_S0 TSS;
+0.00051 eta eta TSS;
+0.00006 eta' eta' TSS;
+#PDG2008------------------------------------------------------------------
+0.0026 anti-K*0 K*0 PHSP;
+0.00154 phi phi PHSP;
+0.002 omega omega PHSP;
+0.00055 pi+ pi- eta PHSP;
+0.00057 pi+ pi- eta' PHSP;
+0.00070 K0 K- pi+ PHSP;
+0.00070 anti-K0 K+ pi- PHSP;
+0.00035 K+ K- pi0 PHSP;
+0.00163 K+ K- phi PHSP;
+0.00049 p+ anti-p- pi0 PHSP;
+0.00021 p+ anti-p- eta PHSP;
+0.00120 p+ anti-n0 pi- PHSP;
+0.00048 K+ anti-p- Lambda0 PHSP;
+0.00048 K- p+ anti-Lambda0 PHSP;
+#Inclusive modes updated by Daowen Hu June 2008 based on PDG2008 ---------
+# subtracted: rho0 pi+ pi-, omega omega from 0.0114
+0.000249024 pi+ pi- pi+ pi- PHSP;
+# subtracted: anti-K*0 K+ pi-, K*0 K- pi+, anti-K*0 K*0 from 0.0094
+0.00225649 pi+ pi- K+ K- PHSP;
+# subtracted: omega omega from 0.0086
+0.00859991 pi+ pi- pi+ pi- pi+ pi- PHSP;
+# subtracted: K*+ K_S0 pi-, K*- K_S0 pi+, K*+ anti-K0 pi-, K*- K0 pi+
+# from 0.0025
+0.0002023 pi+ pi- K_S0 K_S0 PHSP;
+# subtracted: phi phi, K+ K- phi from 0.00184
+0.000668405 K+ K- K+ K- PHSP;
+# subtracted: Lambda0 anti-Lambda0 from 0.00132
+0.00120975 pi+ pi- p+ anti-p- PHSP;
+#
+#BES,PLB630(2005),21-30 --------------------------------------------------
+0.00089 K_L0 K_L0 TSS;
+#PDG2006 ----------------------------------------------------------------
+0.0012 K*+ K_S0 pi- PHSP;
+0.0012 K*+ K_L0 pi- PHSP;
+0.0012 K*- K_S0 pi+ PHSP;
+0.0012 K*- K_L0 pi+ PHSP;
+0.0 K0 anti-K0 PHSP;
+0.0 K_S0 K_L0 PHSP;
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 pi0 PHSP;
+0.0000 omega pi0 PHSP;
+0.0000 phi pi0 PHSP;
+0.0000 gamma pi0 PHSP;
+0.0000 rho0 eta PHSP;
+0.0000 omega eta PHSP;
+0.0000 phi eta PHSP;
+0.0000 gamma eta PHSP;
+0.0000 rho0 eta' PHSP;
+0.0000 omega eta' PHSP;
+0.0000 phi eta' PHSP;
+0.0000 gamma eta' PHSP;
+# sum of other = 0.352158
+#
+0.664893 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+#
+#
+Decay psi(3770)
+0.4243 D+ D- VSS;
+0.5723 D0 anti-D0 VSS;
+0.0034 J/psi pi+ pi- PHSP;
+Enddecay
+#
+#
+# bb= Mesons
+#
+##################### ETA_b #########################
+# no changes to original DECAY.DEC
+Decay eta_b
+1.000 g g PYTHIA 32;
+Enddecay
+
+##################### ETA_b(3S) #########################
+# not in original DECAY.DEC. No information
+Decay eta_b(2S)
+1.000 g g PYTHIA 32;
+Enddecay
+
+##################### H_b #########################
+Decay h_b
+# radiative decay Godfrey J.Phys.Conf.Ser.9:123-126,2005
+0.414 gamma eta_b PHSP;
+0.586 g g PYTHIA 32;
+Enddecay
+
+##################### H_b(2P) #########################
+Decay h_b(2P)
+# no information
+0.4 gamma eta_b(2S) PHSP;
+0.6 g g PYTHIA 32;
+Enddecay
+
+##################### H_b(3P) #########################
+Decay h_b(3P)
+# no information
+0.4 gamma eta_b(3S) PHSP;
+0.6 g g PYTHIA 32;
+Enddecay
+
+##################### UPSILON_1(1D) #########################
+Decay Upsilon_1(1D)
+#see Kwong and Rosner, PRD 38,279 (1988)
+# added leptonic decays
+0.00004 e+ e- PHOTOS VLL;
+0.00004 mu+ mu- PHOTOS VLL;
+0.00004 tau+ tau- VLL;
+
+0.00140 Upsilon pi+ pi- PHSP;
+0.00070 Upsilon pi0 pi0 PHSP;
+# V-> gamma S Partial wave (L,S)=(0,1)
+0.60200 gamma chi_b0 HELAMP 1. 0. +1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.31800 gamma chi_b1 HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.02600 gamma chi_b2 HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+0.05178 g g g PYTHIA 4;
+Enddecay
+
+##################### UPSILON_2(1D) #########################
+Decay Upsilon_2(1D)
+#see Kwong and Rosner, PRD 38,279 (1988)
+0.00140 Upsilon pi+ pi- PHSP;
+0.00070 Upsilon pi0 pi0 PHSP;
+# T-> gamma T Partial wave (L,S)=(0,2)
+0.20300 gamma chi_b2 PHSP;
+#0.20300 gamma chi_b2 HELAMP -1. 0. -1.2247449 0.
+# -1.2247449 0. -1. 0.
+# 1. 0. 1.2247449 0.
+# 1.2247449 0. 1. 0.;
+# T-> gamma V Partial wave (L,S)=(0,2) Use PHSP.
+0.78500 gamma chi_b1 PHSP;
+#0.78500 gamma chi_b1 HELAMP 1. 0. 1.7320508 0. 2.4494897 0.
+# 2.4494897 0. 1.7320508 0. 1. 0.;
+0.00990 g g g PYTHIA 4;
+Enddecay
+
+##################### UPSILON_3(1D) #########################
+Decay Upsilon_3(1D)
+#see Kwong and Rosner, PRD 38,279 (1988)
+0.00200 Upsilon pi+ pi- PHSP;
+0.00100 Upsilon pi0 pi0 PHSP;
+0.95400 chi_b2 gamma PHSP;
+0.04300 g g g PYTHIA 4;
+Enddecay
+
+##################### UPSILON_1(2D) #########################
+Decay Upsilon_1(2D)
+#see Kwong and Rosner, PRD 38,279 (1988)
+# added leptonic decays
+0.0001 e+ e- PHOTOS VLL;
+0.0001 mu+ mu- PHOTOS VLL;
+0.0001 tau+ tau- VLL;
+
+0.00000 Upsilon pi+ pi- PHSP;
+0.00000 Upsilon pi0 pi0 PHSP;
+0.00000 Upsilon(2S) pi+ pi- PHSP;
+0.00000 Upsilon(2S) pi0 pi0 PHSP;
+# V-> gamma S Partial wave (L,S)=(0,1)
+0.51000 gamma chi_b0(2P) HELAMP 1. 0. +1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.26000 gamma chi_b1(2P) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.01400 gamma chi_b2(2P) HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+0.21570 g g g PYTHIA 4;
+Enddecay
+
+##################### UPSILON_2(2D) #########################
+Decay Upsilon_2(2D)
+#see Kwong and Rosner, PRD 38,279 (1988)
+0.00000 Upsilon pi+ pi- PHSP;
+0.00000 Upsilon pi0 pi0 PHSP;
+0.00000 Upsilon(2S) pi+ pi- PHSP;
+0.00000 Upsilon(2S) pi0 pi0 PHSP;
+# T-> gamma T Partial wave (L,S)=(0,2)
+0.04000 gamma chi_b2(2P) PHSP;
+#0.04000 gamma chi_b2(2P) HELAMP -1. 0. -1.2247449 0.
+# -1.2247449 0. -1. 0.
+# 1. 0. 1.2247449 0.
+# 1.2247449 0. 1. 0.;
+# T-> gamma V Partial wave (L,S)=(0,2) Use PHSP.
+0.13000 gamma chi_b1(2P) PHSP;
+#0.13000 gamma chi_b1(2P) HELAMP 1. 0. 1.7320508 0. 2.4494897 0.
+# 2.4494897 0. 1.7320508 0. 1. 0.;
+0.83000 g g g PYTHIA 4;
+Enddecay
+
+##################### UPSILON_3(2D) #########################
+Decay Upsilon_3(2D)
+#see Kwong and Rosner, PRD 38,279 (1988)
+0.00000 Upsilon pi+ pi- PHSP;
+0.00000 Upsilon pi0 pi0 PHSP;
+0.00000 Upsilon(2S) pi+ pi- PHSP;
+0.00000 Upsilon(2S) pi0 pi0 PHSP;
+0.72000 chi_b2(2P) gamma PHSP;
+0.28000 g g g PYTHIA 4;
+Enddecay
+
+##################### ETA_b2(1D) #########################
+# no information
+Decay eta_b2(1D)
+1.000 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+
+##################### ETA_b2(2D) #########################
+# No information
+Decay eta_b2(2D)
+1.000 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+
+##################### UPSILON(1S) #########################
+Decay Upsilon
+
+# slight adjustment of ll BF assuming lepton universality
+0.0249 e+ e- PHOTOS VLL;
+0.0249 mu+ mu- PHOTOS VLL;
+0.0249 tau+ tau- VLL;
+
+# eta_b gamma Godfrey/Rosner PRD64 074011 table 1 LNR99
+0.00036 gamma eta_b PHSP;
+
+# original values; g g g adjust to give total BF = 1
+0.01500 d anti-d PYTHIA 32;
+0.04500 u anti-u PYTHIA 32;
+0.01500 s anti-s PYTHIA 32;
+0.04500 c anti-c PYTHIA 32;
+0.77594 g g g PYTHIA 4;
+0.02900 gamma g g PYTHIA 4;
+Enddecay
+
+##################### UPSILON(2S) #########################
+Decay Upsilon(2S)
+
+# assume lepton universality
+0.0194 e+ e- PHOTOS VLL;
+0.0194 mu+ mu- PHOTOS VLL;
+0.0194 tau+ tau- VLL;
+0.1870 Upsilon pi+ pi- YMSTOYNSPIPICLEO -0.753 0.000;
+0.0935 Upsilon pi0 pi0 YMSTOYNSPIPICLEO -0.753 0.000;
+# Upsilon eta from Godfrey hep-ph/0701208
+0.0008 Upsilon eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+# eta_b gamma and eta_b(2S) PRD64 074011 table 1 & 3 LNR99
+0.000005 gamma eta_b PHSP;
+0.000063 gamma eta_b(2S) PHSP;
+# update to PDG2007
+# V-> gamma S Partial wave (L,S)=(0,1)
+0.0380 gamma chi_b0 HELAMP 1. 0. +1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.0690 gamma chi_b1 HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.0660 gamma chi_b2 HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+# original DECAY.DEC; adjust ggg
+0.00500 d anti-d PYTHIA 32;
+0.02000 u anti-u PYTHIA 32;
+0.00500 s anti-s PYTHIA 32;
+0.02000 c anti-c PYTHIA 32;
+0.4215 g g g PYTHIA 4;
+0.01600 gamma g g PYTHIA 4;
+Enddecay
+
+##################### UPSILON(3S) #########################
+Decay Upsilon(3S)
+# remove Ups(2S)gamma gamma (double counted with rad decays to chi_b)
+
+# assume lepton universality
+0.022 e+ e- PHOTOS VLL;
+0.022 mu+ mu- PHOTOS VLL;
+0.022 tau+ tau- VLL;
+
+# rationalize experimental results;
+# phase space factor = 1.36 to Upsilon(2S), 1.02 to 1S
++0.0442 Upsilon pi+ pi- YMSTOYNSPIPICLEO -2.523 1.189;
++0.0226 Upsilon pi0 pi0 YMSTOYNSPIPICLEO -2.523 1.189;
++0.0290 Upsilon(2S) pi+ pi- YMSTOYNSPIPICLEO -0.395 0.001;
++0.0200 Upsilon(2S) pi0 pi0 YMSTOYNSPIPICLEO -0.395 0.001;
+# Upsilon eta Eichten et al hep-ph/0701208
+0.00067 Upsilon eta PARTWAVE 0.0 0.0 1.0 0.0 0.0 0.0;
+# decays to h_b Godfrey J.Phys.Conf.Ser.9:123-126,2005; pi pi is a guess
+0.001 h_b pi0 PHSP;
+0.001 h_b pi+ pi- PHSP;
+0.0006 h_b pi0 pi0 PHSP;
+# eta_b gamma Godfrey/Rosner PRD64 074011 table 1&3 LNR99
+0.000005 gamma eta_b PHSP;
+0.000040 gamma eta_b(2S) PHSP;
+0.000050 gamma eta_b(3S) PHSP;
+# adjust to PDG2007
+# V-> gamma S Partial wave (L,S)=(0,1)
+0.0590 gamma chi_b0(2P) HELAMP 1. 0. 1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.1260 gamma chi_b1(2P) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.1310 gamma chi_b2(2P) HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+
+# chi_b1 and chi_b2 scaled from chi_b0; B ~ (2J+1)E_gamma^3
+# V-> gamma S Partial wave (L,S)=(0,1)
+0.0030 gamma chi_b0 HELAMP 1. 0. 1. 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.0073 gamma chi_b1 HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.0108 gamma chi_b2 HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+
+# original DECAY.DEC; adjust g g g
+0.00700 d anti-d PYTHIA 32;
+0.02800 u anti-u PYTHIA 32;
+0.00700 s anti-s PYTHIA 32;
+0.02800 c anti-c PYTHIA 32;
+0.39274 g g g PYTHIA 4;
+0.01500 gamma g g PYTHIA 4;
+Enddecay
+
+
+##################### CHI_B0 #########################
+Decay chi_b0
+# No measurements; no changes to original DECAY.DEC
+# S-> gamma V Partial wave (L,S)=(0,0)
+0.0500 gamma Upsilon HELAMP 1. 0. 1. 0.;
+0.9500 g g PYTHIA 12;
+Enddecay
+#
+
+##################### CHI_B1 #########################
+Decay chi_b1
+# gamma Ups is measured. No changes
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.3500 gamma Upsilon HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+0.1625 d anti-d PYTHIA 32;
+0.1625 u anti-u PYTHIA 32;
+0.1625 s anti-s PYTHIA 32;
+0.1625 c anti-c PYTHIA 32;
+Enddecay
+#
+
+##################### CHI_B2 #########################
+Decay chi_b2
+# T-> gamma V Partial wave (L,S)=(0,2) Use PHSP.
+0.2200 gamma Upsilon PHSP;
+#0.2200 gamma Upsilon HELAMP 1. 0. 1.7320508 0. 2.4494897 0.
+# 2.4494897 0. 1.7320508 0. 1. 0.;
+0.7800 g g PYTHIA 32;
+Enddecay
+
+##################### CHI_B0(2P) #########################
+Decay chi_b0(2P)
+
+# S-> gamma V Partial wave (L,S)=(0,0)
+# experimental values
+0.0090 gamma Upsilon HELAMP 1. 0. 1. 0.;
+0.0460 gamma Upsilon(2S) HELAMP 1. 0. 1. 0.;
+
+# S-> gamma V Partial wave (L,S)=(0,0)
+# Kwong & Rosner PRD 38 279
+0.00150 gamma Upsilon_1(1D) HELAMP 1. 0. 1. 0.;
+
+# pi pi chi_b0 estimated from Kuang & Yan PRD 24 2874
+0.0005 chi_b0 pi+ pi- PHSP;
+0.00025 chi_b0 pi0 pi0 PHSP;
+
+# Voloshin Mod Phy Lett A 19, 2895
+0.0015 eta eta_b PHSP;
+
+0.94125 g g PYTHIA 32;
+Enddecay
+
+##################### CHI_B1(2P) #########################
+Decay chi_b1(2P)
+
+# V-> gamma V Partial wave (L,S)=(0,1)
+# experimental
+0.0850 gamma Upsilon HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+0.2100 gamma Upsilon(2S) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+
+# V-> gamma V Partial wave (L,S)=(0,1)
+# Kwong & Rosner PRD 38 279 for gamma Ups(1D)
+0.0097 gamma Upsilon_1(1D) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.0236 gamma Upsilon_2(1D) HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+
+# Hadronic decays omega and pi pi PDG2007. Note that pi pi is
+# defined to be 1.5x pi+pi- & 3x pi0 pi0; see CLEO PRD 73 012003
+0.0163 Upsilon omega PHSP;
+0.0057 chi_b1 pi+ pi- PHSP;
+0.0029 chi_b1 pi0 pi0 PHSP;
+0.1617 d anti-d PYTHIA 32;
+0.1617 u anti-u PYTHIA 32;
+0.1617 s anti-s PYTHIA 32;
+0.1617 c anti-c PYTHIA 32;
+Enddecay
+
+##################### CHI_B2(2P) #########################
+Decay chi_b2(2P)
+
+# T-> gamma V Partial wave (L,S)=(0,2) Use PHSP.
+0.0710 gamma Upsilon PHSP;
+#0.0710 gamma Upsilon HELAMP 1. 0. 1.7320508 0. 2.4494897 0.
+# 2.4494897 0. 1.7320508 0. 1. 0.;
+0.1620 gamma Upsilon(2S) PHSP;
+#0.1620 gamma Upsilon(2S) HELAMP 1. 0. 1.7320508 0. 2.4494897 0.
+# 2.4494897 0. 1.7320508 0. 1. 0.;
+# T-> gamma V Partial wave (L,S)=(0,2) Use PHSP.
+0.00023 gamma Upsilon_1(1D) PHSP;
+#0.00023 gamma Upsilon_1(1D) HELAMP 1. 0. 1.7320508 0. 2.4494897 0.
+# 2.4494897 0. 1.7320508 0. 1. 0.;
+# T -> gamma T Partial wave (L,S)=(0,2)
+0.00290 gamma Upsilon_2(1D) PHSP;
+#0.00290 gamma Upsilon_2(1D) HELAMP -1. 0. -1.2247449 0.
+# -1.2247449 0. -1. 0.
+# 1. 0. 1.2247449 0.
+# 1.2247449 0. 1. 0.;
+# spin 3 not yet in HELAMP.
+0.01420 gamma Upsilon_3(1D) PYTHIA 0;
+# T-> gamma 3 Partial wave (L,S)=(0,2)
+#0.01420 gamma Upsilon_3(1D) HELAMP 3.8729833 0. 3.1622777 0.
+# 2.4494897 0. 1.7320508. 0. 1. 0.
+# 1. 0. 1.7320508 0. 2.4494897 0.
+# 3.1622777 0. 3.8729833 0.;
+
+# Upsilon omega and pi pi chi_b2 PDG2007. Note that pi pi is
+# defined to be 1.5x pi+pi- & 3x pi0 pi0; see CLEO PRD 73 012003.
+# pi pi chi_b1 estimated from Kuang & Yan PRD 24 2874
+0.011 Upsilon omega PHSP;
+0.0040 chi_b2 pi+ pi- PHSP;
+0.0020 chi_b2 pi0 pi0 PHSP;
+0.0002 chi_b1 pi+ pi- PHSP;
+0.0001 chi_b1 pi0 pi0 PHSP;
+
+0.73237 g g PYTHIA 32;
+Enddecay
+
+##################### CHI_B0(3P) #########################
+Decay chi_b0(3P)
+# Kwong & Rosner PRD 38 279 calculate E1 partial widths
+# but not total width. Assume 10% greater than (2P).
+# No estimate for hadronic transitions; ignore
+
+# S-> gamma V Partial wave (L,S)=(0,0)
+0.0036 gamma Upsilon HELAMP 1. 0. 1. 0.;
+0.0033 gamma Upsilon(2S) HELAMP 1. 0. 1. 0.;
+0.0076 gamma Upsilon(3S) HELAMP 1. 0. 1. 0.;
+
+# S-> gamma V Partial wave (L,S)=(0,0)
+# decays to (1D) are negligible
+0.0019 gamma Upsilon_1(2D) HELAMP 1. 0. 1. 0.;
+
+0.9835 g g PYTHIA 32;
+Enddecay
+
+##################### CHI_B1(3P) #########################
+Decay chi_b1(3P)
+#see Kwong and Rosner, PRD 38,279 (1988)
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.15000 gamma Upsilon(3S) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+# V-> gamma T Partial wave (L,S)=(0,1)
+0.03100 gamma Upsilon_2(2D) HELAMP 2.4494897 0. 1.7320508 0. 1. 0.
+ 1. 0. 1.7320508 0. 2.4494897 0.;
+# V-> gamma V Partial wave (L,S)=(0,1)
+0.01300 gamma Upsilon_1(2D) HELAMP 1. 0. 1. 0. -1. 0. -1. 0.;
+
+0.20150 d anti-d PYTHIA 32;
+0.20150 u anti-u PYTHIA 32;
+0.20150 s anti-s PYTHIA 32;
+0.20150 c anti-c PYTHIA 32;
+Enddecay
+
+##################### CHI_B2(3P) #########################
+Decay chi_b2(3P)
+# Kwong & Rosner PRD 38 279 calculate E1 partial widths
+# but not total width. Assume 10% greater than (2P).
+# No estimate for hadronic transitions; ignore
+
+# T-> gamma V Partial wave (L,S)=(0,2) Use PHSP.
+0.019 gamma Upsilon PHSP;
+0.019 gamma Upsilon(2S) PHSP;
+0.060 gamma Upsilon(3S) PHSP;
+
+# decays to (1D) are negligible
+# T-> gamma V Partial wave (L,S)=(0,2) Use PHSP.
+0.00025 gamma Upsilon_1(2D) PHSP;
+
+# T -> gamma T Partial wave (L,S)=(0,2)
+0.0030 gamma Upsilon_2(2D) PHSP;
+
+# spin 3 not yet in HELAMP.
+0.015 gamma Upsilon_3(1D) PYTHIA 0;
+
+0.88375 g g PYTHIA 32;
+Enddecay
+#
+# Charm Baryons
+#
+Decay Lambda_c+
+0.01800 e+ nu_e Lambda0 PYTHIA 42;
+0.00500 e+ nu_e Sigma0 PYTHIA 42;
+0.00500 e+ nu_e Sigma*0 PYTHIA 42;
+0.00300 e+ nu_e n0 PYTHIA 42;
+0.00200 e+ nu_e Delta0 PYTHIA 42;
+0.00600 e+ nu_e p+ pi- PYTHIA 42;
+0.00600 e+ nu_e n0 pi0 PYTHIA 42;
+0.01800 mu+ nu_mu Lambda0 PYTHIA 42;
+0.00500 mu+ nu_mu Sigma0 PYTHIA 42;
+0.00500 mu+ nu_mu Sigma*0 PYTHIA 42;
+0.00300 mu+ nu_mu n0 PYTHIA 42;
+0.00200 mu+ nu_mu Delta0 PYTHIA 42;
+0.00600 mu+ nu_mu p+ pi- PYTHIA 42;
+0.00600 mu+ nu_mu n0 pi0 PYTHIA 42;
+0.00660 Delta++ K- PYTHIA 0;
+0.02500 Delta++ K*- PYTHIA 0;
+0.02300 p+ anti-K0 PYTHIA 0;
+0.04000 p+ anti-K*0 PYTHIA 0;
+0.00500 Delta+ anti-K0 PYTHIA 0;
+0.00500 Delta+ anti-K*0 PYTHIA 0;
+0.00580 Lambda0 pi+ PYTHIA 0;
+0.00500 Lambda0 rho+ PYTHIA 0;
+0.00550 Sigma0 pi+ PYTHIA 0;
+0.00400 Sigma0 rho+ PYTHIA 0;
+0.00400 Sigma*0 pi+ PYTHIA 0;
+0.00400 Sigma*0 rho+ PYTHIA 0;
+0.00400 Sigma+ pi0 PYTHIA 0;
+0.00200 Sigma+ eta PYTHIA 0;
+0.00200 Sigma+ eta' PYTHIA 0;
+0.00400 Sigma+ rho0 PYTHIA 0;
+0.00400 Sigma+ omega PYTHIA 0;
+0.00300 Sigma*+ pi0 PYTHIA 0;
+0.00200 Sigma*+ eta PYTHIA 0;
+0.00300 Sigma*+ rho0 PYTHIA 0;
+0.00300 Sigma*+ omega PYTHIA 0;
+0.00200 Xi0 K+ PYTHIA 0;
+0.00200 Xi0 K*+ PYTHIA 0;
+0.00200 Xi*0 K+ PYTHIA 0;
+0.00100 Delta++ pi- PYTHIA 0;
+0.00100 Delta++ rho- PYTHIA 0;
+0.00200 p+ pi0 PYTHIA 0;
+0.00100 p+ eta PYTHIA 0;
+0.00100 p+ eta' PYTHIA 0;
+0.00200 p+ rho0 PYTHIA 0;
+0.00200 p+ omega PYTHIA 0;
+0.00130 p+ phi PYTHIA 0;
+0.00180 p+ f_0 PYTHIA 0;
+0.00100 Delta+ pi0 PYTHIA 0;
+0.00100 Delta+ eta PYTHIA 0;
+0.00100 Delta+ eta' PYTHIA 0;
+0.00100 Delta+ rho0 PYTHIA 0;
+0.00100 Delta+ omega PYTHIA 0;
+0.00300 n0 pi+ PYTHIA 0;
+0.00300 n0 rho+ PYTHIA 0;
+0.00300 Delta0 pi+ PYTHIA 0;
+0.00300 Delta0 rho+ PYTHIA 0;
+0.00500 Lambda0 K+ PYTHIA 0;
+0.00500 Lambda0 K*+ PYTHIA 0;
+0.00200 Sigma0 K+ PYTHIA 0;
+0.00200 Sigma0 K*+ PYTHIA 0;
+0.00100 Sigma*0 K+ PYTHIA 0;
+0.00100 Sigma*0 K*+ PYTHIA 0;
+0.00200 Sigma+ K0 PYTHIA 0;
+0.00200 Sigma+ K*0 PYTHIA 0;
+0.00100 Sigma*+ K0 PYTHIA 0;
+0.00100 Sigma*+ K*0 PYTHIA 0;
+0.13000 u anti-d d su_0 PYTHIA 13;
+0.05700 u anti-d d su_1 PYTHIA 13;
+0.03500 u anti-s d su_0 PYTHIA 13;
+0.03500 u anti-d d ud_0 PYTHIA 13;
+0.09500 s uu_1 PYTHIA 13;
+0.14000 u su_0 PYTHIA 13;
+0.14000 u su_1 PYTHIA 13;
+0.03000 d uu_1 PYTHIA 13;
+0.01500 u ud_0 PYTHIA 13;
+0.01500 u ud_1 PYTHIA 13;
+Enddecay
+CDecay anti-Lambda_c-
+#
+Decay Xi_c0
+1.000 PYTHIA 84;
+Enddecay
+Decay anti-Xi_c0
+1.000 PYTHIA 84;
+Enddecay
+#
+Decay c-hadron
+0.08000 e+ nu_e s specflav PYTHIA 42;
+0.08000 mu+ nu_mu s specflav PYTHIA 42;
+0.76000 u anti-d s specflav PYTHIA 11;
+0.08000 u anti-s s specflav PYTHIA 11;
+Enddecay
+CDecay anti-c-hadron
+#
+Decay Sigma_c0
+1.0000 Lambda_c+ pi- PHSP;
+Enddecay
+Decay anti-Sigma_c0
+1.0000 anti-Lambda_c- pi+ PHSP;
+Enddecay
+#
+Decay Sigma_c+
+1.0000 Lambda_c+ pi0 PHSP;
+Enddecay
+Decay anti-Sigma_c-
+1.0000 anti-Lambda_c- pi0 PHSP;
+Enddecay
+#
+Decay Xi_c+
+0.98 PYTHIA 84;
+0.02 Xi- pi+ pi+ PHSP;
+Enddecay
+
+Decay anti-Xi_c-
+0.98 PYTHIA 84;
+0.02 anti-Xi+ pi- pi- PHSP;
+Enddecay
+#
+Decay Sigma_c++
+1.0000 Lambda_c+ pi+ PHSP;
+Enddecay
+Decay anti-Sigma_c--
+1.0000 anti-Lambda_c- pi- PHSP;
+Enddecay
+#
+Decay Xi'_c+
+1.0 gamma Xi_c+ PHSP;
+Enddecay
+Decay anti-Xi'_c-
+1.0 gamma anti-Xi_c- PHSP;
+Enddecay
+#
+Decay Xi'_c0
+1.0000 gamma Xi_c0 PHSP;
+Enddecay
+Decay anti-Xi'_c0
+1.0000 gamma anti-Xi_c0 PHSP;
+Enddecay
+#
+# Light Baryons
+#
+Decay Lambda0
+0.6390 p+ pi- PHSP;
+0.3580 n0 pi0 PHSP;
+0.0018 n0 gamma PHSP;
+0.0005 p+ pi- gamma PHSP;
+0.0006 p+ e- anti-nu_e PHOTOS PHSP;
+0.0001 p+ mu- anti-nu_mu PHOTOS PHSP;
+Enddecay
+Decay anti-Lambda0
+0.6390 anti-p- pi+ PHSP;
+0.3580 anti-n0 pi0 PHSP;
+0.0018 anti-n0 gamma PHSP;
+0.0005 anti-p- pi+ gamma PHSP;
+0.0006 anti-p- e+ nu_e PHOTOS PHSP;
+0.0001 anti-p- mu+ nu_mu PHOTOS PHSP;
+Enddecay
+#
+Decay Lambda(1405)0
+
+0.3333 Sigma- pi+ PHSP;
+0.3333 Sigma+ pi- PHSP;
+0.3333 Sigma0 pi0 PHSP;
+Enddecay
+#
+Decay anti-Lambda(1405)0
+
+
+0.3333 anti-Sigma+ pi- PHSP;
+0.3333 anti-Sigma- pi+ PHSP;
+0.3333 anti-Sigma0 pi0 PHSP;
+Enddecay
+#
+Decay Lambda(1520)0
+0.23 p+ K- PHSP;
+0.23 n0 anti-K0 PHSP;
+
+0.14 Sigma- pi+ PHSP;
+0.14 Sigma+ pi- PHSP;
+0.14 Sigma0 pi0 PHSP;
+0.0333 Lambda0 pi0 pi0 PHSP;
+0.0667 Lambda0 pi+ pi- PHSP;
+0.003 Sigma+ pi- pi0 PHSP;
+0.003 Sigma- pi+ pi0 PHSP;
+0.001 Sigma0 pi0 pi0 PHSP;
+0.002 Sigma0 pi+ pi- PHSP;
+0.011 Lambda0 gamma PHSP;
+Enddecay
+#
+Decay anti-Lambda(1520)0
+0.23 anti-p- K+ PHSP;
+0.23 anti-n0 K0 PHSP;
+
+0.14 anti-Sigma+ pi- PHSP;
+0.14 anti-Sigma- pi+ PHSP;
+0.14 anti-Sigma0 pi0 PHSP;
+0.0333 anti-Lambda0 pi0 pi0 PHSP;
+0.0667 anti-Lambda0 pi+ pi- PHSP;
+
+0.003 anti-Sigma- pi+ pi0 PHSP;
+0.003 anti-Sigma+ pi- pi0 PHSP;
+0.001 anti-Sigma0 pi0 pi0 PHSP;
+0.002 anti-Sigma0 pi+ pi- PHSP;
+0.011 anti-Lambda0 gamma PHSP;
+Enddecay
+#
+Decay Lambda(1600)0
+0.176 p+ K- PHSP;
+0.176 n0 anti-K0 PHSP;
+
+0.216 Sigma- pi+ PHSP;
+0.216 Sigma+ pi- PHSP;
+0.216 Sigma0 pi0 PHSP;
+Enddecay
+#
+Decay anti-Lambda(1600)0
+0.176 anti-p- K+ PHSP;
+0.176 anti-n0 K0 PHSP;
+0.216 anti-Sigma+ pi- PHSP;
+0.216 anti-Sigma- pi+ PHSP;
+0.216 anti-Sigma0 pi0 PHSP;
+Enddecay
+#
+Decay Lambda(1670)0
+0.10 p+ K- PHSP;
+0.10 n0 anti-K0 PHSP;
+
+0.16 Sigma- pi+ PHSP;
+0.16 Sigma+ pi- PHSP;
+0.16 Sigma0 pi0 PHSP;
+0.32 Lambda0 eta PHSP;
+Enddecay
+#
+Decay anti-Lambda(1670)0
+0.10 anti-p- K+ PHSP;
+0.10 anti-n0 K0 PHSP;
+0.16 anti-Sigma+ pi- PHSP;
+0.16 anti-Sigma- pi+ PHSP;
+0.16 anti-Sigma0 pi0 PHSP;
+0.32 anti-Lambda0 eta PHSP;
+Enddecay
+#
+Decay Lambda(1690)0
+0.125 p+ K- PHSP;
+0.125 n0 anti-K0 PHSP;
+0.10 Sigma+ pi- PHSP;
+0.10 Sigma- pi+ PHSP;
+0.10 Sigma0 pi0 PHSP;
+0.0833 Lambda0 pi0 pi0 PHSP;
+0.1667 Lambda0 pi+ pi- PHSP;
+0.067 Sigma+ pi- pi0 PHSP;
+0.067 Sigma- pi+ pi0 PHSP;
+0.022 Sigma0 pi0 pi0 PHSP;
+0.044 Sigma0 pi+ pi- PHSP;
+Enddecay
+#
+Decay anti-Lambda(1690)0
+0.125 anti-p- K+ PHSP;
+0.125 anti-n0 K0 PHSP;
+0.10 anti-Sigma- pi+ PHSP;
+0.10 anti-Sigma+ pi- PHSP;
+
+0.10 anti-Sigma0 pi0 PHSP;
+0.0833 anti-Lambda0 pi0 pi0 PHSP;
+0.1667 anti-Lambda0 pi+ pi- PHSP;
+
+0.067 anti-Sigma- pi+ pi0 PHSP;
+0.067 anti-Sigma+ pi- pi0 PHSP;
+0.022 anti-Sigma0 pi0 pi0 PHSP;
+0.044 anti-Sigma0 pi+ pi- PHSP;
+Enddecay
+#
+Decay Lambda(1800)0
+0.165 p+ K- PHSP;
+0.165 n0 anti-K0 PHSP;
+
+0.08 Sigma- pi+ PHSP;
+0.08 Sigma+ pi- PHSP;
+0.08 Sigma0 pi0 PHSP;
+
+0.003 Sigma*- pi+ PHSP;
+0.003 Sigma*+ pi- PHSP;
+0.004 Sigma*0 pi0 PHSP;
+0.21 p+ K*- PHSP;
+0.21 n0 anti-K*0 PHSP;
+Enddecay
+#
+Decay anti-Lambda(1800)0
+0.165 anti-p- K+ PHSP;
+0.165 anti-n0 K0 PHSP;
+0.08 anti-Sigma+ pi- PHSP;
+0.08 anti-Sigma- pi+ PHSP;
+0.08 anti-Sigma0 pi0 PHSP;
+0.003 anti-Sigma*+ pi- PHSP;
+0.003 anti-Sigma*- pi+ PHSP;
+0.004 anti-Sigma*0 pi0 PHSP;
+0.21 anti-p- K*+ PHSP;
+0.21 anti-n0 K*0 PHSP;
+Enddecay
+#
+Decay Lambda(1810)0
+0.165 p+ K- PHSP;
+0.165 n0 anti-K0 PHSP;
+0.08 Sigma- pi+ PHSP;
+0.08 Sigma+ pi- PHSP;
+
+0.08 Sigma0 pi0 PHSP;
+0.003 Sigma*- pi+ PHSP;
+0.003 Sigma*+ pi- PHSP;
+
+0.004 Sigma*0 pi0 PHSP;
+0.21 p+ K*- PHSP;
+0.21 n0 anti-K*0 PHSP;
+Enddecay
+#
+Decay anti-Lambda(1810)0
+0.165 anti-p- K+ PHSP;
+0.165 anti-n0 K0 PHSP;
+0.08 anti-Sigma+ pi- PHSP;
+0.08 anti-Sigma- pi+ PHSP;
+0.08 anti-Sigma0 pi0 PHSP;
+0.003 anti-Sigma*+ pi- PHSP;
+0.003 anti-Sigma*- pi+ PHSP;
+0.004 anti-Sigma*0 pi0 PHSP;
+0.21 anti-p- K*+ PHSP;
+0.21 anti-n0 K*0 PHSP;
+Enddecay
+#
+Decay Lambda(1820)0
+0.34 p+ K- PHSP;
+0.34 n0 anti-K0 PHSP;
+
+0.06 Sigma- pi+ PHSP;
+0.06 Sigma+ pi- PHSP;
+0.06 Sigma0 pi0 PHSP;
+0.04 Sigma*- pi+ PHSP;
+0.04 Sigma*+ pi- PHSP;
+
+0.04 Sigma*0 pi0 PHSP;
+0.01 Lambda0 eta PHSP;
+0.003 Sigma+ pi- pi0 PHSP;
+0.004 Sigma- pi+ pi0 PHSP;
+0.001 Sigma0 pi0 pi0 PHSP;
+0.002 Sigma0 pi+ pi- PHSP;
+Enddecay
+#
+Decay anti-Lambda(1820)0
+0.34 anti-p- K+ PHSP;
+0.34 anti-n0 K0 PHSP;
+0.06 anti-Sigma+ pi- PHSP;
+0.06 anti-Sigma- pi+ PHSP;
+0.06 anti-Sigma0 pi0 PHSP;
+0.04 anti-Sigma*+ pi- PHSP;
+0.04 anti-Sigma*- pi+ PHSP;
+0.04 anti-Sigma*0 pi0 PHSP;
+0.01 anti-Lambda0 eta PHSP;
+0.003 anti-Sigma- pi+ pi0 PHSP;
+0.004 anti-Sigma+ pi- pi0 PHSP;
+
+0.001 anti-Sigma0 pi0 pi0 PHSP;
+0.002 anti-Sigma0 pi+ pi- PHSP;
+Enddecay
+#
+Decay Lambda(1830)0
+0.05 p+ K- PHSP;
+0.05 n0 anti-K0 PHSP;
+
+0.24 Sigma- pi+ PHSP;
+0.24 Sigma+ pi- PHSP;
+0.24 Sigma0 pi0 PHSP;
+
+0.06 Sigma*- pi+ PHSP;
+0.06 Sigma*+ pi- PHSP;
+0.06 Sigma*0 pi0 PHSP;
+Enddecay
+#
+Decay anti-Lambda(1830)0
+0.05 anti-p- K+ PHSP;
+0.05 anti-n0 K0 PHSP;
+0.24 anti-Sigma+ pi- PHSP;
+0.24 anti-Sigma- pi+ PHSP;
+0.24 anti-Sigma0 pi0 PHSP;
+0.06 anti-Sigma*+ pi- PHSP;
+0.06 anti-Sigma*- pi+ PHSP;
+0.06 anti-Sigma*0 pi0 PHSP;
+Enddecay
+#
+#
+Decay Sigma(1660)0
+0.07 p+ K- PHSP;
+0.07 n0 anti-K0 PHSP;
+0.16 Lambda0 pi0 PHSP;
+
+0.35 Sigma- pi+ PHSP;
+0.35 Sigma+ pi- PHSP;
+Enddecay
+#
+Decay anti-Sigma(1660)0
+0.07 anti-p- K+ PHSP;
+0.07 anti-n0 K0 PHSP;
+0.16 anti-Lambda0 pi0 PHSP;
+0.35 anti-Sigma+ pi- PHSP;
+0.35 anti-Sigma- pi+ PHSP;
+Enddecay
+#
+Decay Sigma(1670)0
+0.07 p+ K- PHSP;
+0.07 n0 anti-K0 PHSP;
+0.16 Lambda0 pi0 PHSP;
+
+0.35 Sigma- pi+ PHSP;
+0.35 Sigma+ pi- PHSP;
+Enddecay
+#
+Decay anti-Sigma(1670)0
+0.07 anti-p- K+ PHSP;
+0.07 anti-n0 K0 PHSP;
+0.16 anti-Lambda0 pi0 PHSP;
+0.35 anti-Sigma+ pi- PHSP;
+0.35 anti-Sigma- pi+ PHSP;
+Enddecay
+#
+Decay Sigma(1775)0
+0.215 p+ K- PHSP;
+0.215 n0 anti-K0 PHSP;
+0.20 Lambda0 pi0 PHSP;
+
+0.02 Sigma- pi+ PHSP;
+0.02 Sigma+ pi- PHSP;
+
+0.055 Sigma*- pi+ PHSP;
+0.055 Sigma*+ pi- PHSP;
+0.22 Lambda(1520)0 pi0 PHSP;
+Enddecay
+#
+Decay anti-Sigma(1775)0
+0.215 anti-p- K+ PHSP;
+0.215 anti-n0 K0 PHSP;
+0.20 anti-Lambda0 pi0 PHSP;
+0.02 anti-Sigma+ pi- PHSP;
+0.02 anti-Sigma- pi+ PHSP;
+0.055 anti-Sigma*+ pi- PHSP;
+0.055 anti-Sigma*- pi+ PHSP;
+0.22 anti-Lambda(1520)0 pi0 PHSP;
+Enddecay
+Decay Sigma+
+0.5157 p+ pi0 PHSP;
+0.4831 n0 pi+ PHSP;
+0.0012 p+ gamma PHSP;
+Enddecay
+Decay anti-Sigma-
+0.5157 anti-p- pi0 PHSP;
+0.4831 anti-n0 pi- PHSP;
+0.0012 anti-p- gamma PHSP;
+Enddecay
+#
+Decay Delta+
+0.6630 p+ pi0 PHSP;
+0.3310 n0 pi+ PHSP;
+0.0060 p+ gamma PHSP;
+Enddecay
+Decay anti-Delta-
+0.6630 anti-p- pi0 PHSP;
+0.3310 anti-n0 pi- PHSP;
+0.0060 anti-p- gamma PHSP;
+Enddecay
+#
+Decay Delta++
+1.0000 p+ pi+ PHSP;
+Enddecay
+Decay anti-Delta--
+1.0000 anti-p- pi- PHSP;
+Enddecay
+#
+Decay Xi*0
+0.3330 Xi0 pi0 PHSP;
+0.6670 Xi- pi+ PHSP;
+Enddecay
+Decay anti-Xi*0
+0.3330 anti-Xi0 pi0 PHSP;
+0.6670 anti-Xi+ pi- PHSP;
+Enddecay
+#
+Decay Delta0
+0.3310 p+ pi- PHSP;
+0.6630 n0 pi0 PHSP;
+0.0060 n0 gamma PHSP;
+Enddecay
+Decay anti-Delta0
+0.3310 anti-p- pi+ PHSP;
+0.6630 anti-n0 pi0 PHSP;
+0.0060 anti-n0 gamma PHSP;
+Enddecay
+#
+Decay Delta-
+1.0000 n0 pi- PHSP;
+Enddecay
+Decay anti-Delta+
+1.0000 anti-n0 pi+ PHSP;
+Enddecay
+#
+Decay Sigma-
+1.0000 n0 pi- PHSP;
+Enddecay
+Decay anti-Sigma+
+1.0000 anti-n0 pi+ PHSP;
+Enddecay
+#
+Decay Sigma0
+1.0000 gamma Lambda0 PHSP;
+Enddecay
+Decay anti-Sigma0
+1.0000 gamma anti-Lambda0 PHSP;
+Enddecay
+#
+Decay Sigma*-
+0.8800 Lambda0 pi- PHSP;
+0.0600 Sigma0 pi- PHSP;
+0.0600 Sigma- pi0 PHSP;
+Enddecay
+Decay anti-Sigma*+
+0.8800 anti-Lambda0 pi+ PHSP;
+0.0600 anti-Sigma0 pi+ PHSP;
+0.0600 anti-Sigma+ pi0 PHSP;
+Enddecay
+#
+Decay Sigma*+
+0.8800 Lambda0 pi+ PHSP;
+0.0600 Sigma+ pi0 PHSP;
+0.0600 Sigma0 pi+ PHSP;
+Enddecay
+Decay anti-Sigma*-
+0.8800 anti-Lambda0 pi- PHSP;
+0.0600 anti-Sigma- pi0 PHSP;
+0.0600 anti-Sigma0 pi- PHSP;
+Enddecay
+#
+Decay Sigma*0
+0.8800 Lambda0 pi0 PHSP;
+0.0600 Sigma+ pi- PHSP;
+0.0600 Sigma- pi+ PHSP;
+Enddecay
+Decay anti-Sigma*0
+0.8800 anti-Lambda0 pi0 PHSP;
+0.0600 anti-Sigma- pi+ PHSP;
+0.0600 anti-Sigma+ pi- PHSP;
+Enddecay
+#
+Decay Xi0
+1.0000 Lambda0 pi0 PHSP;
+Enddecay
+Decay anti-Xi0
+1.0000 anti-Lambda0 pi0 PHSP;
+Enddecay
+#
+Decay Xi-
+1.0000 Lambda0 pi- PHSP;
+Enddecay
+Decay anti-Xi+
+1.0000 anti-Lambda0 pi+ PHSP;
+Enddecay
+#
+Decay Xi*-
+0.6670 Xi0 pi- PHSP;
+0.3330 Xi- pi0 PHSP;
+Enddecay
+Decay anti-Xi*+
+0.6670 anti-Xi0 pi+ PHSP;
+0.3330 anti-Xi+ pi0 PHSP;
+Enddecay
+#
+Decay Omega-
+0.6780 Lambda0 K- PHSP;
+0.2360 Xi0 pi- PHSP;
+0.0860 Xi- pi0 PHSP;
+Enddecay
+Decay anti-Omega+
+0.6780 anti-Lambda0 K+ PHSP;
+0.2360 anti-Xi0 pi+ PHSP;
+0.0860 anti-Xi+ pi0 PHSP;
+Enddecay
+#
+#
+Decay Sigma_c*0
+1.0000 Lambda_c+ pi- PHSP;
+Enddecay
+CDecay anti-Sigma_c*0
+#
+Decay Sigma_c*+
+1.0000 Lambda_c+ pi0 PHSP;
+Enddecay
+CDecay anti-Sigma_c*-
+#
+Decay Sigma_c*++
+1.0000 Lambda_c+ pi+ PHSP;
+Enddecay
+CDecay anti-Sigma_c*--
+#
+Decay Xi_c*0
+0.33 Xi_c0 pi0 PHSP;
+0.67 Xi_c+ pi- PHSP;
+Enddecay
+CDecay anti-Xi_c*0
+#
+Decay Xi_c*+
+0.33 Xi_c+ pi0 PHSP;
+0.67 Xi_c0 pi+ PHSP;
+Enddecay
+CDecay anti-Xi_c*-
+#
+Decay Omega_c0
+1.00000 PYTHIA 84;
+Enddecay
+#
+CDecay anti-Omega_c0
+#
+Decay Omega_c*0
+1.0000 Omega_c0 gamma PHSP;
+Enddecay
+#
+CDecay anti-Omega_c*0
+#
+Decay Xu0
+# X_u^0 -> u anti-u
+#
+1.0 u anti-u PYTHIA 11;
+Enddecay
+Decay Xu+
+# X_u^+ -> u anti-d
+#
+1.0 u anti-d PYTHIA 11;
+Enddecay
+CDecay Xu-
+
+#lange - PYTHIA is making h_c mesons - better add a decay
+# channel for them.
+Decay h_c
+# PRD37, 1210 (1988)------------------------------------------------------
+# Gamma(h_c->J/psi+pi0)/Gamma(psi'->J/psi+pi0)=9.3.
+# And assuming Gamma(h_c)_total = 1MeV.
+0.00335 J/psi pi0 PHSP;
+#
+# ccbar modes to suppress added on 06042008
+0.0000 rho0 rho0 PHSP;
+0.0000 rho0 omega PHSP;
+0.0000 rho0 phi PHSP;
+0.0000 rho0 gamma PHSP;
+0.0000 omega omega PHSP;
+0.0000 omega phi PHSP;
+0.0000 omega gamma PHSP;
+0.0000 phi phi PHSP;
+0.0000 phi gamma PHSP;
+0.0000 gamma gamma PHSP;
+0.0000 pi0 pi0 PHSP;
+0.0000 pi0 eta PHSP;
+0.0000 pi0 eta' PHSP;
+0.0000 eta eta PHSP;
+0.0000 eta eta' PHSP;
+0.0000 eta' eta' PHSP;
+#
+#hep-ph/0205255 ----------------------------------------------------------
+0.377 eta_c gamma HELAMP 1. 0. 1. 0. ;
+0.61965 rndmflav anti-rndmflav PYTHIA 12;
+Enddecay
+
+# 12/08/03 RJT Update b-baryon decays...
+Decay Lambda_b0
+# SemiLeptonic Decays (inclusive BR = 7.7 +/- 1.8%)
+ 0.05460 Lambda_c+ e- anti-nu_e PHSP;
+ 0.01280 Lambda_c(2593)+ e- anti-nu_e PHSP;
+ 0.00960 Lambda_c(2625)+ e- anti-nu_e PHSP;
+ 0.00000 Sigma_c0 pi+ e- anti-nu_e PHSP;
+ 0.00000 Sigma_c+ pi0 e- anti-nu_e PHSP;
+ 0.00000 Sigma_c++ pi- e- anti-nu_e PHSP;
+ 0.00000 Sigma_c*0 pi+ e- anti-nu_e PHSP;
+ 0.00000 Sigma_c*+ pi0 e- anti-nu_e PHSP;
+ 0.00000 Sigma_c*++ pi- e- anti-nu_e PHSP;
+#
+ 0.05460 Lambda_c+ mu- anti-nu_mu PHSP;
+ 0.01280 Lambda_c(2593)+ mu- anti-nu_mu PHSP;
+ 0.00960 Lambda_c(2625)+ mu- anti-nu_mu PHSP;
+ 0.00000 Sigma_c0 pi+ mu- anti-nu_mu PHSP;
+ 0.00000 Sigma_c+ pi0 mu- anti-nu_mu PHSP;
+ 0.00000 Sigma_c++ pi- mu- anti-nu_mu PHSP;
+ 0.00000 Sigma_c*0 pi+ mu- anti-nu_mu PHSP;
+ 0.00000 Sigma_c*+ pi0 mu- anti-nu_mu PHSP;
+ 0.00000 Sigma_c*++ pi- mu- anti-nu_mu PHSP;
+#
+ 0.01720 Lambda_c+ tau- anti-nu_tau PHSP;
+ 0.00430 Lambda_c(2593)+ tau- anti-nu_tau PHSP;
+ 0.00320 Lambda_c(2625)+ tau- anti-nu_tau PHSP;
+ 0.00000 Sigma_c0 pi+ tau- anti-nu_tau PHSP;
+ 0.00000 Sigma_c+ pi0 tau- anti-nu_tau PHSP;
+ 0.00000 Sigma_c++ pi- tau- anti-nu_tau PHSP;
+ 0.00000 Sigma_c*0 pi+ tau- anti-nu_tau PHSP;
+ 0.00000 Sigma_c*+ pi0 tau- anti-nu_tau PHSP;
+ 0.00000 Sigma_c*++ pi- tau- anti-nu_tau PHSP;
+# Hadronic Decays with Lambda_c+
+ 0.00600 Lambda_c+ pi- PHSP;
+ 0.02200 Lambda_c+ pi- pi+ pi- PHSP;
+ 0.00055 Lambda_c+ K- PHSP;
+ 0.02200 Lambda_c+ D_s- PHSP;
+#
+ 0.00047 Lambda0 J/psi PHSP;
+ 0.00038 Lambda0 psi(2S) PHSP;
+ 0.00080 n0 D0 PHSP;
+#
+# Additional decays from hep-ph/9709372 scaled to the Lambda_c0 pi rate
+ 0.00060 Sigma_c+ pi- PHSP;
+ 0.00060 Sigma_c0 pi0 PHSP;
+ 0.00040 Sigma_c0 eta PHSP;
+ 0.00050 Sigma_c0 eta' PHSP;
+ 0.00030 Xi_c0 K0 PHSP;
+ 0.00050 Xi'_c0 K0 PHSP;
+# aaa 10/19/05 Do not if this is correct but filling out with inclusives
+0.12584 d anti-u d cu_0 PYTHIA 13;
+0.05518 d anti-u d cu_1 PYTHIA 13;
+0.02057 s anti-u d cu_0 PYTHIA 13;
+0.01532 d anti-u s cu_0 PYTHIA 13;
+0.01092 d anti-u s cu_1 PYTHIA 13;
+0.01996 s anti-c d cu_0 PYTHIA 13;
+0.01042 s anti-u d cc_1 PYTHIA 13;
+0.00639 d anti-u s cc_1 PYTHIA 13;
+0.00838 d anti-u d uu_1 PYTHIA 13;
+0.00500 s anti-c d uu_1 PYTHIA 13;
+0.09196 c dd_1 PYTHIA 13;
+0.13552 d cd_0 PYTHIA 13;
+0.13552 d cd_1 PYTHIA 13;
+0.02104 s cd_1 PYTHIA 13;
+0.02104 s cd_0 PYTHIA 13;
+0.02104 d cs_1 PYTHIA 13;
+0.01839 s ud_1 PYTHIA 13;
+0.01839 d su_0 PYTHIA 13;
+0.01839 s ud_1 PYTHIA 13;
+0.00357 u dd_1 PYTHIA 13;
+0.00168 d ud_0 PYTHIA 13;
+0.00168 d ud_1 PYTHIA 13;
+Enddecay
+
+Decay anti-Lambda_b0
+# SemiLeptonic Decays (inclusive BR = 7.7 +/- 1.8%)
+ 0.05460 anti-Lambda_c- e+ nu_e PHSP;
+ 0.01280 anti-Lambda_c(2593)- e+ nu_e PHSP;
+ 0.00960 anti-Lambda_c(2625)- e+ nu_e PHSP;
+ 0.00000 anti-Sigma_c0 pi- e+ nu_e PHSP;
+ 0.00000 anti-Sigma_c- pi0 e+ nu_e PHSP;
+ 0.00000 anti-Sigma_c-- pi+ e+ nu_e PHSP;
+ 0.00000 anti-Sigma_c*0 pi- e+ nu_e PHSP;
+ 0.00000 anti-Sigma_c*- pi0 e+ nu_e PHSP;
+ 0.00000 anti-Sigma_c*-- pi+ e+ nu_e PHSP;
+#
+ 0.05460 anti-Lambda_c- mu+ nu_mu PHSP;
+ 0.01280 anti-Lambda_c(2593)- mu+ nu_mu PHSP;
+ 0.00960 anti-Lambda_c(2625)- mu+ nu_mu PHSP;
+ 0.00000 anti-Sigma_c0 pi- mu+ nu_mu PHSP;
+ 0.00000 anti-Sigma_c- pi0 mu+ nu_mu PHSP;
+ 0.00000 anti-Sigma_c-- pi+ mu+ nu_mu PHSP;
+ 0.00000 anti-Sigma_c*0 pi- mu+ nu_mu PHSP;
+ 0.00000 anti-Sigma_c*- pi0 mu+ nu_mu PHSP;
+ 0.00000 anti-Sigma_c*-- pi+ mu+ nu_mu PHSP;
+#
+ 0.01720 anti-Lambda_c- tau+ nu_tau PHSP;
+ 0.00430 anti-Lambda_c(2593)- tau+ nu_tau PHSP;
+ 0.00320 anti-Lambda_c(2625)- tau+ nu_tau PHSP;
+ 0.00000 anti-Sigma_c0 pi- tau+ nu_tau PHSP;
+ 0.00000 anti-Sigma_c- pi0 tau+ nu_tau PHSP;
+ 0.00000 anti-Sigma_c-- pi+ tau+ nu_tau PHSP;
+ 0.00000 anti-Sigma_c*0 pi- tau+ nu_tau PHSP;
+ 0.00000 anti-Sigma_c*- pi0 tau+ nu_tau PHSP;
+ 0.00000 anti-Sigma_c*-- pi+ tau+ nu_tau PHSP;
+# Hadronic Decays with anti-Lambda_c-
+ 0.00600 anti-Lambda_c- pi+ PHSP;
+ 0.02200 anti-Lambda_c- pi+ pi+ pi- PHSP;
+ 0.00055 anti-Lambda_c- K+ PHSP;
+ 0.02200 anti-Lambda_c- D_s+ PHSP;
+#
+ 0.00047 anti-Lambda0 J/psi PHSP;
+ 0.00038 anti-Lambda0 psi(2S) PHSP;
+ 0.00080 anti-n0 anti-D0 PHSP;
+#
+# Additional decays from hep-ph/9709372 scaled to the Lambda_c0 pi rate
+ 0.00060 anti-Sigma_c- pi+ PHSP;
+ 0.00060 anti-Sigma_c0 pi0 PHSP;
+ 0.00040 anti-Sigma_c0 eta PHSP;
+ 0.00050 anti-Sigma_c0 eta' PHSP;
+ 0.00030 anti-Xi_c0 anti-K0 PHSP;
+ 0.00050 anti-Xi'_c0 anti-K0 PHSP;
+0.12584 u anti-d anti-d anti-cu_0 PYTHIA 13;
+0.05518 u anti-d anti-d anti-cu_1 PYTHIA 13;
+0.02057 u anti-s anti-d anti-cu_0 PYTHIA 13;
+0.01532 u anti-d anti-s anti-cu_0 PYTHIA 13;#2007 changed to fit Lambda_b decy
+0.01092 u anti-d anti-s anti-cu_1 PYTHIA 13;
+0.01996 c anti-s anti-d anti-cu_0 PYTHIA 13;
+0.01042 u anti-s anti-d anti-cc_1 PYTHIA 13;
+0.00639 u anti-d anti-s anti-cc_1 PYTHIA 13;
+0.00838 u anti-d anti-d anti-uu_1 PYTHIA 13;
+0.00500 c anti-s anti-d anti-uu_1 PYTHIA 13;
+0.09196 anti-c anti-dd_1 PYTHIA 13;
+0.13552 anti-d anti-cd_0 PYTHIA 13;
+0.13552 anti-d anti-cd_1 PYTHIA 13;
+0.02104 anti-s anti-cd_1 PYTHIA 13;
+0.02104 anti-s anti-cd_0 PYTHIA 13;
+0.02104 anti-d anti-cs_1 PYTHIA 13;
+0.01839 anti-s anti-ud_1 PYTHIA 13;
+0.01839 anti-d anti-su_0 PYTHIA 13;
+0.01839 anti-s anti-ud_1 PYTHIA 13;
+0.00357 anti-u anti-dd_1 PYTHIA 13;
+0.00168 anti-d anti-ud_0 PYTHIA 13;
+0.00168 anti-d anti-ud_1 PYTHIA 13;
+Enddecay
+
+Decay Xi_b-
+# SemiLeptonic Decays
+ 0.05460 Xi_c0 e- anti-nu_e PHSP;
+ 0.05460 Xi_c0 mu- anti-nu_mu PHSP;
+ 0.02000 Xi_c0 tau- anti-nu_tau PHSP;
+# Hadronic Decays with Xi_c0
+ 0.00600 Xi_c0 pi- PHSP;
+ 0.02200 Xi_c0 pi- pi+ pi- PHSP;
+ 0.00055 Xi_c0 K- PHSP;
+ 0.02200 Xi_c0 D_s- PHSP;
+ 0.00047 Xi- J/psi PHSP;
+# added by D.Litvintsev 12/8/03:
+ 0.00038 Xi- psi(2S) PHSP;
+ 0.00018 D0 Lambda0 pi- PHSP;
+ 0.00020 Sigma_c0 K- PHSP;
+ 0.00020 Omega_c0 K- PHSP;
+#
+# aaa 10/19/05 Do not if this is correct but filling out with inclusives
+0.38757 d anti-u d cs_0 PYTHIA 13;
+0.16995 d anti-u d cs_1 PYTHIA 13;
+0.06335 s anti-u d cs_0 PYTHIA 13;
+0.00568 d anti-u s cs_1 PYTHIA 13;
+0.00797 d anti-u s cs_0 PYTHIA 13;
+0.06148 s anti-c d cs_0 PYTHIA 13;
+0.06918 d anti-u d cd_0 PYTHIA 13;
+0.03999 s anti-c d cd_0 PYTHIA 13;
+0.00865 d anti-u d su_0 PYTHIA 13;
+0.00500 s anti-c d su_0 PYTHIA 13;
+Enddecay
+
+Decay anti-Xi_b+
+# SemiLeptonic Decays
+ 0.05460 anti-Xi_c0 e+ nu_e PHSP;
+ 0.05460 anti-Xi_c0 mu+ nu_mu PHSP;
+ 0.02000 anti-Xi_c0 tau+ nu_tau PHSP;
+# Hadronic Decays with anti-Xi_c0
+ 0.00600 anti-Xi_c0 pi+ PHSP;
+ 0.02200 anti-Xi_c0 pi+ pi+ pi- PHSP;
+ 0.00055 anti-Xi_c0 K+ PHSP;
+ 0.02200 anti-Xi_c0 D_s+ PHSP;
+ 0.00047 anti-Xi+ J/psi PHSP;
+# added by D.Litvintsev 12/8/03:
+ 0.00038 anti-Xi+ psi(2S) PHSP;
+ 0.00018 anti-D0 anti-Lambda0 pi+ PHSP;
+ 0.00020 anti-Sigma_c0 K+ PHSP;
+ 0.00020 anti-Omega_c0 K+ PHSP;
+# aaa 10/19/05 Do not if this is correct but filling out with inclusives
+0.38757 u anti-d anti-d anti-cs_0 PYTHIA 13;
+0.16995 u anti-d anti-d anti-cs_1 PYTHIA 13;
+0.06335 u anti-s anti-d anti-cs_0 PYTHIA 13;
+0.00568 u anti-d anti-s anti-cs_1 PYTHIA 13;
+0.00797 u anti-d anti-s anti-cs_0 PYTHIA 13;
+0.06148 c anti-s anti-d anti-cs_0 PYTHIA 13;
+0.06918 u anti-d anti-d anti-cd_0 PYTHIA 13;
+0.03999 c anti-s anti-d anti-cd_0 PYTHIA 13;
+0.00865 u anti-d anti-d anti-su_0 PYTHIA 13;
+0.00500 c anti-s anti-d anti-su_0 PYTHIA 13;
+Enddecay
+
+Decay Xi_b0
+# SemiLeptonic Decays
+ 0.05460 Xi_c+ e- anti-nu_e PHSP;
+ 0.05460 Xi_c+ mu- anti-nu_mu PHSP;
+ 0.02000 Xi_c+ tau- anti-nu_tau PHSP;
+# Hadronic Decays with Xi_c+
+ 0.00600 Xi_c+ pi- PHSP;
+ 0.02200 Xi_c+ pi- pi+ pi- PHSP;
+ 0.00055 Xi_c+ K- PHSP;
+ 0.02200 Xi_c+ D_s- PHSP;
+ 0.00047 Xi0 J/psi PHSP;
+# added by D.Litvintsev 12/8/03:
+ 0.00020 D0 Lambda0 PHSP;
+ 0.00010 Lambda_c+ K- PHSP;
+ 0.00020 Sigma_c0 anti-K0 PHSP;
+ 0.00020 Omega_c0 K0 PHSP;
+#
+# Additional decays from hep-ph/9709372 scaled to the Lambda_c0 pi rate
+ 0.00020 Xi'_c+ pi- PHSP;
+ 0.00003 Xi_c0 pi0 PHSP;
+ 0.00015 Xi_c0 eta PHSP;
+ 0.00004 Xi_c0 eta' PHSP;
+ 0.00020 Xi'_c0 pi0 PHSP;
+ 0.00020 Xi'_c0 eta PHSP;
+ 0.00030 Xi'_c0 eta' PHSP;
+ 0.00040 Sigma_c+ K- PHSP;
+# aaa 10/19/05 Do not if this is correct but filling out with inclusives
+0.58591 d anti-u s cu_0 PYTHIA 13;
+0.01363 s anti-u s cu_1 PYTHIA 13;
+0.09539 s anti-u s cc_1 PYTHIA 13;
+0.10900 s anti-u d cu_1 PYTHIA 13;
+0.01363 d anti-u d uu_1 PYTHIA 13;
+Enddecay
+
+Decay anti-Xi_b0
+ 0.05460 anti-Xi_c- e+ nu_e PHSP;
+ 0.05460 anti-Xi_c- mu+ nu_mu PHSP;
+ 0.02000 anti-Xi_c- tau+ nu_tau PHSP;
+# Hadronic Decays with anti-Xi_c-
+ 0.00600 anti-Xi_c- pi+ PHSP;
+ 0.02200 anti-Xi_c- pi+ pi+ pi- PHSP;
+ 0.00055 anti-Xi_c- K+ PHSP;
+ 0.02200 anti-Xi_c- D_s+ PHSP;
+ 0.00047 anti-Xi0 J/psi PHSP;
+# added by D.Litvintsev 12/8/03:
+ 0.00020 anti-D0 anti-Lambda0 PHSP;
+ 0.00010 anti-Lambda_c- K+ PHSP;
+ 0.00020 anti-Sigma_c0 K0 PHSP;
+ 0.00020 anti-Omega_c0 anti-K0 PHSP;
+#
+# Additional decays from hep-ph/9709372 scaled to the Lambda_c0 pi rate
+ 0.00020 anti-Xi'_c- pi+ PHSP;
+ 0.00003 anti-Xi_c0 pi0 PHSP;
+ 0.00015 anti-Xi_c0 eta PHSP;
+ 0.00004 anti-Xi_c0 eta' PHSP;
+ 0.00020 anti-Xi'_c0 pi0 PHSP;
+ 0.00020 anti-Xi'_c0 eta PHSP;
+ 0.00030 anti-Xi'_c0 eta' PHSP;
+ 0.00040 anti-Sigma_c- K+ PHSP;
+# aaa 10/19/05 Do not if this is correct but filling out with inclusives
+0.58591 u anti-d anti-s anti-cu_0 PYTHIA 13;
+0.01363 u anti-s anti-s anti-cu_1 PYTHIA 13;
+0.09539 u anti-s anti-s anti-cc_1 PYTHIA 13;
+0.10900 u anti-s anti-d anti-cu_1 PYTHIA 13;
+0.01363 u anti-d anti-d anti-uu_1 PYTHIA 13;
+Enddecay
+
+# added by D.Litvintsev 12/8/03:
+Decay Omega_b-
+# SemiLeptonic Decays
+ 0.05460 Omega_c0 e- anti-nu_e PHSP;
+ 0.05460 Omega_c0 mu- anti-nu_mu PHSP;
+ 0.02000 Omega_c0 tau- anti-nu_tau PHSP;
+# Hadronic Decays with Xi_c+
+ 0.00600 Omega_c0 pi- PHSP;
+ 0.02200 Omega_c0 pi- pi+ pi- PHSP;
+ 0.00055 Omega_c0 K- PHSP;
+ 0.02200 Omega_c0 D_s- PHSP;
+ 0.0011 D0 Xi- PHSP;
+#
+ 0.00047 Omega- J/psi PHSP;
+ 0.00038 Omega- psi(2S) PHSP;
+# aaa 10/19/05 Do not if this is correct but filling out with inclusives
+0.68192 d anti-u s cs_0 PYTHIA 13;
+0.10910 d anti-u d cs_0 PYTHIA 13;
+0.02728 d anti-u s su_0 PYTHIA 13;
+Enddecay
+
+Decay anti-Omega_b+
+# SemiLeptonic Decays
+ 0.05460 anti-Omega_c0 e+ nu_e PHSP;
+ 0.05460 anti-Omega_c0 mu+ nu_mu PHSP;
+ 0.02000 anti-Omega_c0 tau+ nu_tau PHSP;
+# Hadronic Decays with Xi_c+
+ 0.00600 anti-Omega_c0 pi+ PHSP;
+ 0.02200 anti-Omega_c0 pi+ pi+ pi- PHSP;
+ 0.00055 anti-Omega_c0 K+ PHSP;
+ 0.02200 anti-Omega_c0 D_s+ PHSP;
+ 0.0011 anti-D0 anti-Xi+ PHSP;
+#
+ 0.00047 anti-Omega+ J/psi PHSP;
+ 0.00038 anti-Omega+ psi(2S) PHSP;
+# aaa 10/19/05 Do not if this is correct but filling out with inclusives
+0.68192 u anti-d anti-s anti-cs_0 PYTHIA 13;
+0.10910 u anti-d anti-d anti-cs_0 PYTHIA 13;
+0.02728 u anti-d anti-s anti-su_0 PYTHIA 13;
+Enddecay
+
+
+Decay Sigma_b+
+ 1.00000 Lambda_b0 pi+ PHSP;
+Enddecay
+Decay anti-Sigma_b-
+ 1.00000 anti-Lambda_b0 pi- PHSP;
+Enddecay
+
+Decay Sigma_b-
+ 1.00000 Lambda_b0 pi- PHSP;
+Enddecay
+Decay anti-Sigma_b+
+ 1.00000 anti-Lambda_b0 pi+ PHSP;
+Enddecay
+
+Decay Sigma_b0
+ 1.00000 Lambda_b0 gamma PHOTOS PHSP;
+Enddecay
+Decay anti-Sigma_b0
+ 1.00000 anti-Lambda_b0 gamma PHOTOS PHSP;
+Enddecay
+
+Decay Sigma_b*0
+1.00000 Lambda_b0 pi0 PHSP;
+Enddecay
+
+Decay anti-Sigma_b*0
+1.00000 anti-Lambda_b0 pi0 PHSP;
+Enddecay
+
+Decay Sigma_b*+
+1.00000 Lambda_b0 pi+ PHSP;
+Enddecay
+
+Decay anti-Sigma_b*-
+1.00000 anti-Lambda_b0 pi- PHSP;
+Enddecay
+
+Decay Sigma_b*-
+1.00000 Lambda_b0 pi- PHSP;
+Enddecay
+
+Decay anti-Sigma_b*+
+1.00000 anti-Lambda_b0 pi+ PHSP;
+Enddecay
+
+Decay Xi_b*-
+1.00000 Xi_b- gamma PHOTOS PHSP;
+Enddecay
+
+Decay anti-Xi_b*+
+1.00000 anti-Xi_b+ gamma PHOTOS PHSP;
+Enddecay
+
+Decay Xi_b*0
+1.00000 Xi_b0 gamma PHOTOS PHSP;
+Enddecay
+
+Decay anti-Xi_b*0
+1.00000 anti-Xi_b0 gamma PHOTOS PHSP;
+Enddecay
+
+Decay Xi'_b0
+1.00000 Xi_b0 gamma PHOTOS PHSP;
+Enddecay
+
+Decay anti-Xi'_b0
+1.00000 anti-Xi_b0 gamma PHOTOS PHSP;
+Enddecay
+
+Decay Xi'_b-
+1.00000 Xi_b- gamma PHOTOS PHSP;
+Enddecay
+
+Decay anti-Xi'_b+
+1.00000 anti-Xi_b+ gamma PHOTOS PHSP;
+Enddecay
+
+Decay anti-Omega_b*+
+1.00000 anti-Omega_b+ gamma PHOTOS PHSP;
+Enddecay
+
+Decay Omega_b*-
+1.00000 Omega_b- gamma PHOTOS PHSP;
+Enddecay
+
+
+#
+# B_c Mesons
+#
+
+Decay B_c-
+0.01600 tau- anti-nu_tau SLN;
+#
+# SemiLeptonic Decays
+0.01900 J/psi e- anti-nu_e PHOTOS PHSP;
+0.00094 psi(2S) e- anti-nu_e PHOTOS PHSP;
+0.00750 eta_c e- anti-nu_e PHOTOS PHSP;
+0.00020 eta_c(2S) e- anti-nu_e PHOTOS PHSP;
+0.00004 anti-D0 e- anti-nu_e PHOTOS PHSP;
+0.00018 anti-D*0 e- anti-nu_e PHOTOS PHSP;
+0.04030 anti-B_s0 e- anti-nu_e PHOTOS PHSP;
+0.05060 anti-B_s*0 e- anti-nu_e PHOTOS PHSP;
+0.00340 anti-B0 e- anti-nu_e PHOTOS PHSP;
+0.00580 anti-B*0 e- anti-nu_e PHOTOS PHSP;
+#
+0.01900 J/psi mu- anti-nu_mu PHOTOS PHSP;
+0.00094 psi(2S) mu- anti-nu_mu PHOTOS PHSP;
+0.00750 eta_c mu- anti-nu_mu PHOTOS PHSP;
+0.00020 eta_c(2S) mu- anti-nu_mu PHOTOS PHSP;
+0.00004 anti-D0 mu- anti-nu_mu PHOTOS PHSP;
+0.00018 anti-D*0 mu- anti-nu_mu PHOTOS PHSP;
+0.04030 anti-B_s0 mu- anti-nu_mu PHOTOS PHSP;
+0.05060 anti-B_s*0 mu- anti-nu_mu PHOTOS PHSP;
+0.00340 anti-B0 mu- anti-nu_mu PHOTOS PHSP;
+0.00580 anti-B*0 mu- anti-nu_mu PHOTOS PHSP;
+#
+0.00480 J/psi tau- anti-nu_tau PHSP;
+0.00008 psi(2S) tau- anti-nu_tau PHSP;
+0.00230 eta_c tau- anti-nu_tau PHSP;
+0.000016 eta_c(2S) tau- anti-nu_tau PHSP;
+0.00002 anti-D0 tau- anti-nu_tau PHSP;
+0.00008 anti-D*0 tau- anti-nu_tau PHSP;
+#
+#
+# Hadronic Decays
+0.00200 eta_c pi- PHSP;
+0.00420 rho- eta_c SVS;
+0.00013 eta_c K- PHSP;
+0.00020 K*- eta_c SVS;
+0.00130 J/psi pi- SVS;
+0.00400 J/psi rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K- SVS;
+0.00022 J/psi K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.000053 D- D0 PHSP;
+0.000075 D*0 D- SVS;
+0.000049 D*- D0 SVS;
+0.00033 D*- D*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0000048 D_s- D0 PHSP;
+0.0000071 D*0 D_s- SVS;
+0.0000045 D_s*- D0 SVS;
+0.000026 D_s*- D*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.0000003 D- anti-D0 PHSP;
+0.0000003 anti-D*0 D- SVS;
+0.0000004 D*- anti-D0 SVS;
+0.0000016 anti-D*0 D*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0000066 D_s- anti-D0 PHSP;
+0.0000063 anti-D*0 D_s- SVS;
+0.0000085 D_s*- anti-D0 SVS;
+0.0000404 D_s*- anti-D*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.00280 eta_c D_s- PHSP;
+0.00270 D_s*- eta_c SVS;
+0.00015 eta_c D- PHSP;
+0.00010 D*- eta_c SVS;
+0.00170 J/psi D_s- SVS;
+0.00670 J/psi D_s*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D- SVS;
+0.00028 J/psi D*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.16400 anti-B_s0 pi- PHSP;
+0.07200 rho- anti-B_s0 SVS;
+0.01060 anti-B_s0 K- PHSP;
+0.00000 K*- anti-B_s0 SVS;
+0.06500 anti-B_s*0 pi- SVS;
+0.20200 anti-B_s*0 rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00370 anti-B_s*0 K- SVS;
+0.00000 anti-B_s*0 K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.01060 anti-B0 pi- PHSP;
+0.00960 rho- anti-B0 SVS;
+0.00070 anti-B0 K- PHSP;
+0.00015 K*- anti-B0 SVS;
+0.00950 anti-B*0 pi- SVS;
+0.02570 anti-B*0 rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00055 anti-B*0 K- SVS;
+0.00058 anti-B*0 K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00037 B- pi0 PHSP;
+0.00034 rho0 B- SVS;
+0.01980 B- K0 PHSP;
+0.00430 K*0 B- SVS;
+0.00033 B*- pi0 SVS;
+0.00090 B*- rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.01600 B*- K0 SVS;
+0.01670 B*- K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# ash 10/27/03 Do not if this is correct but filling out with unknown cs
+0.0200230 cs_0 anti-uu_1 PYTHIA 23;
+0.0400470 cs_1 anti-uu_1 PYTHIA 23;
+#
+Enddecay
+
+# 09/15/03 A. Sanchez: Using BR's from hep-ph/0308214
+#
+# Total Br = 0.939865 + .06135 cs
+Decay B_c+
+0.01600 tau+ nu_tau SLN;
+#
+# SemiLeptonic Decays
+0.01900 J/psi e+ nu_e PHOTOS PHSP;
+0.00094 psi(2S) e+ nu_e PHOTOS PHSP;
+0.00750 eta_c e+ nu_e PHOTOS PHSP;
+0.00020 eta_c(2S) e+ nu_e PHOTOS PHSP;
+0.00004 D0 e+ nu_e PHOTOS PHSP;
+0.00018 D*0 e+ nu_e PHOTOS PHSP;
+0.04030 B_s0 e+ nu_e PHOTOS PHSP;
+0.05060 B_s*0 e+ nu_e PHOTOS PHSP;
+0.00340 B0 e+ nu_e PHOTOS PHSP;
+0.00580 B*0 e+ nu_e PHOTOS PHSP;
+#
+0.01900 J/psi mu+ nu_mu PHOTOS PHSP;
+0.00094 psi(2S) mu+ nu_mu PHOTOS PHSP;
+0.00750 eta_c mu+ nu_mu PHOTOS PHSP;
+0.00020 eta_c(2S) mu+ nu_mu PHOTOS PHSP;
+0.00004 D0 mu+ nu_mu PHOTOS PHSP;
+0.00018 D*0 mu+ nu_mu PHOTOS PHSP;
+0.04030 B_s0 mu+ nu_mu PHOTOS PHSP;
+0.05060 B_s*0 mu+ nu_mu PHOTOS PHSP;
+0.00340 B0 mu+ nu_mu PHOTOS PHSP;
+0.00580 B*0 mu+ nu_mu PHOTOS PHSP;
+#
+0.00480 J/psi tau+ nu_tau PHSP;
+0.00008 psi(2S) tau+ nu_tau PHSP;
+0.00230 eta_c tau+ nu_tau PHSP;
+0.000016 eta_c(2S) tau+ nu_tau PHSP;
+0.00002 D0 tau+ nu_tau PHSP;
+0.00008 D*0 tau+ nu_tau PHSP;
+#
+# Hadronic Decays
+0.00200 eta_c pi+ PHSP;
+0.00420 rho+ eta_c SVS;
+0.00013 eta_c K+ PHSP;
+0.00020 K*+ eta_c SVS;
+0.00130 J/psi pi+ SVS;
+0.00400 J/psi rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K+ SVS;
+0.00022 J/psi K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.000053 D+ anti-D0 PHSP;
+0.000075 anti-D*0 D+ SVS;
+0.000049 D*+ anti-D0 SVS;
+0.00033 D*+ anti-D*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0000048 D_s+ anti-D0 PHSP;
+0.0000071 anti-D*0 D_s+ SVS;
+0.0000045 D_s*+ anti-D0 SVS;
+0.000026 D_s*+ anti-D*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.0000003 D+ D0 PHSP;
+0.0000003 D*0 D+ SVS;
+0.0000004 D*+ D0 SVS;
+0.0000016 D*0 D*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.0000066 D_s+ D0 PHSP;
+0.0000063 D*0 D_s+ SVS;
+0.0000085 D_s*+ D0 SVS;
+0.0000404 D_s*+ D*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.00280 eta_c D_s+ PHSP;
+0.00270 D_s*+ eta_c SVS;
+0.00015 eta_c D+ PHSP;
+0.00010 D*+ eta_c SVS;
+0.00170 J/psi D_s+ SVS;
+0.00670 J/psi D_s*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D+ SVS;
+0.00028 J/psi D*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+0.16400 B_s0 pi+ PHSP;
+0.07200 rho+ B_s0 SVS;
+0.01060 B_s0 K+ PHSP;
+0.00000 K*+ B_s0 SVS;
+0.06500 B_s*0 pi+ SVS;
+0.20200 B_s*0 rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00370 B_s*0 K+ SVS;
+0.00000 B_s*0 K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.01060 B0 pi+ PHSP;
+0.00960 rho+ B0 SVS;
+0.00070 B0 K+ PHSP;
+0.00015 K*+ B0 SVS;
+0.00950 B*0 pi+ SVS;
+0.02570 B*0 rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00055 B*0 K+ SVS;
+0.00058 B*0 K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00037 B+ pi0 PHSP;
+0.00034 rho0 B+ SVS;
+0.01980 B+ anti-K0 PHSP;
+0.00430 anti-K*0 B+ SVS;
+0.00033 B*+ pi0 SVS;
+0.00090 B*+ rho0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.01600 B*+ anti-K0 SVS;
+0.01670 B*+ anti-K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+#
+# ash 10/27/03 Do not if this is correct but filling out with unknown cs
+0.020023 anti-cs_0 uu_1 PYTHIA 23;
+0.0400470 anti-cs_1 uu_1 PYTHIA 23;
+#
+Enddecay
+
+
+# Add excited Lambda_c decays (R.J. Tesarek 12/09/03)
+# Just a guess for the last three BR [Lambda_c(2593)+].
+Decay Lambda_c(2593)+
+ 0.24000 Sigma_c++ pi- PHSP;
+ 0.24000 Sigma_c0 pi+ PHSP;
+ 0.18000 Lambda_c+ pi+ pi- PHSP;
+ 0.24000 Sigma_c+ pi0 PHSP;
+ 0.09000 Lambda_c+ pi0 pi0 PHSP;
+ 0.01000 Lambda_c+ gamma PHSP;
+Enddecay
+Decay anti-Lambda_c(2593)-
+ 0.24000 anti-Sigma_c-- pi+ PHSP;
+ 0.24000 anti-Sigma_c0 pi- PHSP;
+ 0.18000 anti-Lambda_c- pi- pi+ PHSP;
+ 0.24000 anti-Sigma_c- pi0 PHSP;
+ 0.09000 anti-Lambda_c- pi0 pi0 PHSP;
+ 0.01000 anti-Lambda_c- gamma PHSP;
+Enddecay
+#
+Decay Lambda_c(2625)+
+ 0.66000 Lambda_c+ pi+ pi- PHSP;
+ 0.33000 Lambda_c+ pi0 pi0 PHSP;
+ 0.01000 Lambda_c+ gamma PHSP;
+Enddecay
+Decay anti-Lambda_c(2625)-
+ 0.66000 anti-Lambda_c- pi- pi+ PHSP;
+ 0.33000 anti-Lambda_c- pi0 pi0 PHSP;
+ 0.01000 anti-Lambda_c- gamma PHSP;
+Enddecay
+
+Decay gammaFSR
+1.0000 gamma PHSP;
+Enddecay
+
+CopyDecay phi_A phi
+CopyDecay f_0_A f_0
+CopyDecay f'_0_A f'_0
+CopyDecay f_2_A f_2
+
+RemoveDecay phi_A
+K+ K-;
+Enddecay
+RemoveDecay f_0_A
+K+ K-;
+Enddecay
+RemoveDecay f'_0_A
+K+ K-;
+Enddecay
+RemoveDecay f_2_A
+K+ K-;
+Enddecay
+
+
+End
+
+
+
+
--- /dev/null
+##
+Define dm_incohMix_B_s0 0.0
+Define dm_incohMix_B0 0.0
+Define dm_incohMix_Lambda_b0 0.0
+Define dm_incohMix_B- 0.0
+Define dm_incohMix_B_c- 0.0
+Define dm_incohMix_Xi_b0 0.0
+Define dm_incohMix_Xi_b- 0.0
+Define dm_incohMix_Omega_b- 0.0
+
+#
+ModelAlias VubHybridB0 VUBHYBRID 4.62 2.27 0.22 8 8 8
+ 0.28 1.40 1.60 1.80 2.00 2.50 3.00 3.50
+ 0.00 2.50 5.00 7.50 10.00 12.50 15.00 20.00
+ 0.00 0.50 1.00 1.25 1.50 1.75 2.00 2.25
+ 0.00000 1.2059 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.09098 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.47335 1.21021 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.52695 1.21011 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.6304 1.21096 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.33327 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.54178 1.20886 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.59143 1.20802 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.69332 1.20698 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.66811 1.20755 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.34624 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.23645 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.53769 1.21089 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.63768 1.20843 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.71713 1.20869 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.75566 1.20778 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.74831 1.20916 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.21312 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.62594 1.20926 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.5902 1.20516 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.68809 1.20016 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.78229 1.20459 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.82156 1.20561 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.72422 1.20485 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.00423 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.55708 1.20977 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.61225 1.20629 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.66904 1.20049 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.72567 1.20029 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.78501 1.19808 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.83037 1.19609 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.59537 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.00000 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.45962 1.20645 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.53276 1.20083 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.57906 1.19669 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.68263 1.19458 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.74222 1.19771 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.78307 1.19479 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.58714 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.19489 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.24451 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.14704 1.20472 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.42163 1.19849 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.37319 1.18877 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.38655 1.1995 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.34297 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.31299 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.57067 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.57067 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995;
+
+# Hybrid weights for charged B -> Xu l nu decays
+ModelAlias VubHybridBp VUBHYBRID 4.62 2.27 0.22 8 8 8
+ 0.28 1.40 1.60 1.80 2.00 2.50 3.00 3.50
+ 0.00 2.50 5.00 7.50 10.00 12.50 15.00 20.00
+ 0.00 0.50 1.00 1.25 1.50 1.75 2.00 2.25
+ 0.00000 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.00000 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.11287 1.26974 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.10819 1.26929 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.27133 1.26671 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.17256 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.18216 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.32091 1.26953 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.52924 1.26988 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.51586 1.26755 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.26794 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.21166 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.29627 1.26757 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.52168 1.26788 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.5675 1.26647 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.62174 1.26467 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.00536 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.38235 1.2678 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.44511 1.26686 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.54476 1.26672 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.66852 1.26707 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.64859 1.26542 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.53664 1.2536 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.00000 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.22558 1.26822 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.38409 1.26531 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.52891 1.26284 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.65141 1.26648 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.70896 1.26227 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.79827 1.26101 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.4274 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.08636 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.28546 1.26121 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.40621 1.26584 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.58209 1.26637 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.61119 1.26424 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.70714 1.26297 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.73926 1.25781 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.53898 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.52061 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.00000 1.26726 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.16996 1.2649 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.23334 1.2534 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.25078 1.26036 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.27805 1.25917 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.27337 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.18235 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.84654 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.84654 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986;
+
+#
+Decay B0
+0.0560 D*- e+ nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 D- e+ nu_e PHOTOS ISGW2;
+0.0056 D_1- e+ nu_e PHOTOS ISGW2;
+0.0020 D_0*- e+ nu_e PHOTOS ISGW2;
+0.0037 D'_1- e+ nu_e PHOTOS ISGW2;
+0.0037 D_2*- e+ nu_e PHOTOS ISGW2;
+0.0010 D*- pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0020 anti-D*0 pi- e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0030 D- pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0060 anti-D0 pi- e+ nu_e PHOTOS GOITY_ROBERTS;
+
+0.000180 pi- e+ nu_e PHOTOS ISGW2;
+0.000260 rho- e+ nu_e PHOTOS ISGW2;
+0.000165 a_1- e+ nu_e PHOTOS ISGW2;
+0.000102 b_1- e+ nu_e PHOTOS ISGW2;
+0.000014 a_0- e+ nu_e PHOTOS ISGW2;
+0.000014 a_2- e+ nu_e PHOTOS ISGW2;
+
+
+#0.001892 Xu- e+ nu_e PHOTOS VubHybridB0;
+Enddecay
+
+Decay anti-B0
+0.0560 D*+ e- anti-nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 D+ e- anti-nu_e PHOTOS ISGW2;
+0.0056 D_1+ e- anti-nu_e PHOTOS ISGW2;
+0.0020 D_0*+ e- anti-nu_e PHOTOS ISGW2;
+0.0037 D'_1+ e- anti-nu_e PHOTOS ISGW2;
+0.0037 D_2*+ e- anti-nu_e PHOTOS ISGW2;
+0.0010 D*+ pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0020 D*0 pi+ e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0030 D+ pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0060 D0 pi+ e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.000180 pi+ e- anti-nu_e PHOTOS ISGW2;
+0.000260 rho+ e- anti-nu_e PHOTOS ISGW2;
+0.000165 a_1+ e- anti-nu_e PHOTOS ISGW2;
+0.000102 b_1+ e- anti-nu_e PHOTOS ISGW2;
+0.000014 a_0+ e- anti-nu_e PHOTOS ISGW2;
+0.000014 a_2+ e- anti-nu_e PHOTOS ISGW2;
+
+#0.001892 Xu+ e- anti-nu_e PHOTOS VubHybridB0;
+Enddecay
+
+Decay B+
+0.0560 anti-D*0 e+ nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 anti-D0 e+ nu_e PHOTOS ISGW2;
+0.0056 anti-D_10 e+ nu_e PHOTOS ISGW2;
+0.0020 anti-D_0*0 e+ nu_e PHOTOS ISGW2;
+0.0037 anti-D'_10 e+ nu_e PHOTOS ISGW2;
+0.0037 anti-D_2*0 e+ nu_e PHOTOS ISGW2;
+0.0020 D*- pi+ e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0010 anti-D*0 pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0060 D- pi+ e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0030 anti-D0 pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+
+0.000090 pi0 e+ nu_e PHOTOS ISGW2;
+0.000030 eta e+ nu_e PHOTOS ISGW2;
+0.000130 rho0 e+ nu_e PHOTOS ISGW2;
+0.000130 omega e+ nu_e PHOTOS ISGW2;
+0.000060 eta' e+ nu_e PHOTOS ISGW2;
+0.000082 a_10 e+ nu_e PHOTOS ISGW2;
+0.000007 a_20 e+ nu_e PHOTOS ISGW2;
+0.000048 b_10 e+ nu_e PHOTOS ISGW2;
+0.000007 a_00 e+ nu_e PHOTOS ISGW2;
+0.000004 f_0 e+ nu_e PHOTOS ISGW2;
+0.000004 f'_0 e+ nu_e PHOTOS ISGW2;
+0.000041 f_1 e+ nu_e PHOTOS ISGW2;
+0.000041 f'_1 e+ nu_e PHOTOS ISGW2;
+0.000024 h_1 e+ nu_e PHOTOS ISGW2;
+0.000024 h'_1 e+ nu_e PHOTOS ISGW2;
+0.000004 f_2 e+ nu_e PHOTOS ISGW2;
+0.000004 f'_2 e+ nu_e PHOTOS ISGW2;
+#0.001948 Xu0 e+ nu_e PHOTOS VubHybridBp;
+Enddecay
+
+Decay B-
+#
+# b -> c semileptonic
+#
+0.0560 D*0 e- anti-nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 D0 e- anti-nu_e PHOTOS ISGW2;
+0.0056 D_10 e- anti-nu_e PHOTOS ISGW2;
+0.0020 D_0*0 e- anti-nu_e PHOTOS ISGW2;
+0.0037 D'_10 e- anti-nu_e PHOTOS ISGW2;
+0.0037 D_2*0 e- anti-nu_e PHOTOS ISGW2;
+0.0020 D*+ pi- e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0010 D*0 pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0060 D+ pi- e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0030 D0 pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+
+0.000090 pi0 e- anti-nu_e PHOTOS ISGW2;
+0.000030 eta e- anti-nu_e PHOTOS ISGW2;
+0.000130 rho0 e- anti-nu_e PHOTOS ISGW2;
+0.000130 omega e- anti-nu_e PHOTOS ISGW2;
+0.000060 eta' e- anti-nu_e PHOTOS ISGW2;
+0.000082 a_10 e- anti-nu_e PHOTOS ISGW2;
+0.000007 a_20 e- anti-nu_e PHOTOS ISGW2;
+0.000048 b_10 e- anti-nu_e PHOTOS ISGW2;
+0.000007 a_00 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f_0 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f'_0 e- anti-nu_e PHOTOS ISGW2;
+0.000041 f_1 e- anti-nu_e PHOTOS ISGW2;
+0.000041 f'_1 e- anti-nu_e PHOTOS ISGW2;
+0.000024 h_1 e- anti-nu_e PHOTOS ISGW2;
+0.000024 h'_1 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f_2 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f'_2 e- anti-nu_e PHOTOS ISGW2;
+
+#0.001948 Xu0 e- anti-nu_e PHOTOS VubHybridBp;
+Enddecay
+
+Decay B_s0
+0.0210 D_s- e+ nu_e PHOTOS ISGW2;
+0.0490 D_s*- e+ nu_e PHOTOS ISGW2;
+0.0040 D_s1- e+ nu_e PHOTOS ISGW2;
+0.0040 D_s0*- e+ nu_e PHOTOS ISGW2;
+0.0070 D'_s1- e+ nu_e PHOTOS ISGW2;
+0.0070 D_s2*- e+ nu_e PHOTOS ISGW2;
+Enddecay
+
+Decay anti-B_s0
+# b --> c (l nu)
+# Sum = 24.5%
+0.0210 D_s+ e- anti-nu_e PHOTOS ISGW2;
+0.0490 D_s*+ e- anti-nu_e PHOTOS ISGW2;
+0.0040 D_s1+ e- anti-nu_e PHOTOS ISGW2;
+0.0040 D_s0*+ e- anti-nu_e PHOTOS ISGW2;
+0.0070 D'_s1+ e- anti-nu_e PHOTOS ISGW2;
+0.0070 D_s2*+ e- anti-nu_e PHOTOS ISGW2;
+Enddecay
+
+Decay Lambda_b0
+0.05460 Lambda_c+ e- anti-nu_e PHSP;
+Enddecay
+
+Decay anti-Lambda_b0
+# SemiLeptonic Decays (inclusive BR = 7.7 +/- 1.8%)
+ 0.05460 anti-Lambda_c- e+ nu_e PHSP;
+Enddecay
+
+Decay Xi_b-
+# SemiLeptonic Decays
+ 0.05460 Xi_c0 e- anti-nu_e PHSP;
+Enddecay
+
+
+Decay anti-Xi_b+
+# SemiLeptonic Decays
+ 0.05460 anti-Xi_c0 e+ nu_e PHSP;
+Enddecay
+
+Decay Xi_b0
+# SemiLeptonic Decays
+ 0.05460 Xi_c+ e- anti-nu_e PHSP;
+Enddecay
+
+Decay anti-Xi_b0
+ 0.05460 anti-Xi_c- e+ nu_e PHSP;
+Enddecay
+
+Decay Omega_b-
+# SemiLeptonic Decays
+ 0.05460 Omega_c0 e- anti-nu_e PHSP;
+Enddecay
+
+Decay anti-Omega_b+
+# SemiLeptonic Decays
+ 0.05460 anti-Omega_c0 e+ nu_e PHSP;
+Enddecay
+
+End
+
--- /dev/null
+##
+Define dm_incohMix_B_s0 0.0
+Define dm_incohMix_B0 0.0
+Define dm_incohMix_Lambda_b0 0.0
+Define dm_incohMix_B- 0.0
+Define dm_incohMix_B_c- 0.0
+Define dm_incohMix_Xi_b0 0.0
+Define dm_incohMix_Xi_b- 0.0
+Define dm_incohMix_Omega_b- 0.0
+
+#
+ModelAlias VubHybridB0 VUBHYBRID 4.62 2.27 0.22 8 8 8
+ 0.28 1.40 1.60 1.80 2.00 2.50 3.00 3.50
+ 0.00 2.50 5.00 7.50 10.00 12.50 15.00 20.00
+ 0.00 0.50 1.00 1.25 1.50 1.75 2.00 2.25
+ 0.00000 1.2059 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.09098 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.47335 1.21021 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.52695 1.21011 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.6304 1.21096 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.33327 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.54178 1.20886 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.59143 1.20802 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.69332 1.20698 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.66811 1.20755 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.34624 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.23645 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.53769 1.21089 1.21241 1.21241 1.21241 1.21241 1.21241 1.21241
+ 0.63768 1.20843 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.71713 1.20869 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.75566 1.20778 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.74831 1.20916 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.21312 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.62594 1.20926 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.5902 1.20516 1.21241 1.21241 1.21241 1.21241 1.21241 0.99995
+ 0.68809 1.20016 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.78229 1.20459 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.82156 1.20561 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.72422 1.20485 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.00423 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.55708 1.20977 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.61225 1.20629 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.66904 1.20049 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.72567 1.20029 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.78501 1.19808 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.83037 1.19609 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.59537 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.00000 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.45962 1.20645 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.53276 1.20083 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995
+ 0.57906 1.19669 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.68263 1.19458 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.74222 1.19771 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.78307 1.19479 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.58714 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.19489 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.24451 1.21241 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.14704 1.20472 1.21241 1.21241 1.21241 0.99995 0.99995 0.99995
+ 0.42163 1.19849 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.37319 1.18877 1.21241 1.21241 0.99995 0.99995 0.99995 0.99995
+ 0.38655 1.1995 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.34297 1.21241 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.31299 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.57067 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995
+ 0.57067 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995 0.99995;
+
+# Hybrid weights for charged B -> Xu l nu decays
+ModelAlias VubHybridBp VUBHYBRID 4.62 2.27 0.22 8 8 8
+ 0.28 1.40 1.60 1.80 2.00 2.50 3.00 3.50
+ 0.00 2.50 5.00 7.50 10.00 12.50 15.00 20.00
+ 0.00 0.50 1.00 1.25 1.50 1.75 2.00 2.25
+ 0.00000 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.00000 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.11287 1.26974 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.10819 1.26929 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.27133 1.26671 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.17256 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.18216 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.32091 1.26953 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.52924 1.26988 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.51586 1.26755 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.26794 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.21166 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029 1.27029
+ 0.29627 1.26757 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.52168 1.26788 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.5675 1.26647 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.62174 1.26467 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.00536 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.38235 1.2678 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.44511 1.26686 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.54476 1.26672 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.66852 1.26707 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.64859 1.26542 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.53664 1.2536 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.00000 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.22558 1.26822 1.27029 1.27029 1.27029 1.27029 1.27029 0.9986
+ 0.38409 1.26531 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.52891 1.26284 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.65141 1.26648 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.70896 1.26227 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.79827 1.26101 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.4274 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.08636 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.28546 1.26121 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.40621 1.26584 1.27029 1.27029 1.27029 1.27029 0.9986 0.9986
+ 0.58209 1.26637 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.61119 1.26424 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.70714 1.26297 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.73926 1.25781 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.53898 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.52061 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.00000 1.26726 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.16996 1.2649 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.23334 1.2534 1.27029 1.27029 1.27029 0.9986 0.9986 0.9986
+ 0.25078 1.26036 1.27029 1.27029 0.9986 0.9986 0.9986 0.9986
+ 0.27805 1.25917 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.27337 1.27029 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.18235 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.84654 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986
+ 0.84654 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986 0.9986;
+
+#
+Decay B0
+0.0560 D*- e+ nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 D- e+ nu_e PHOTOS ISGW2;
+0.0056 D_1- e+ nu_e PHOTOS ISGW2;
+0.0020 D_0*- e+ nu_e PHOTOS ISGW2;
+0.0037 D'_1- e+ nu_e PHOTOS ISGW2;
+0.0037 D_2*- e+ nu_e PHOTOS ISGW2;
+0.0010 D*- pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0020 anti-D*0 pi- e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0030 D- pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0060 anti-D0 pi- e+ nu_e PHOTOS GOITY_ROBERTS;
+
+0.000180 pi- e+ nu_e PHOTOS ISGW2;
+0.000260 rho- e+ nu_e PHOTOS ISGW2;
+0.000165 a_1- e+ nu_e PHOTOS ISGW2;
+0.000102 b_1- e+ nu_e PHOTOS ISGW2;
+0.000014 a_0- e+ nu_e PHOTOS ISGW2;
+0.000014 a_2- e+ nu_e PHOTOS ISGW2;
+
+
+#0.001892 Xu- e+ nu_e PHOTOS VubHybridB0;
+Enddecay
+
+Decay anti-B0
+0.0560 D*+ e- anti-nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 D+ e- anti-nu_e PHOTOS ISGW2;
+0.0056 D_1+ e- anti-nu_e PHOTOS ISGW2;
+0.0020 D_0*+ e- anti-nu_e PHOTOS ISGW2;
+0.0037 D'_1+ e- anti-nu_e PHOTOS ISGW2;
+0.0037 D_2*+ e- anti-nu_e PHOTOS ISGW2;
+0.0010 D*+ pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0020 D*0 pi+ e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0030 D+ pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0060 D0 pi+ e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.000180 pi+ e- anti-nu_e PHOTOS ISGW2;
+0.000260 rho+ e- anti-nu_e PHOTOS ISGW2;
+0.000165 a_1+ e- anti-nu_e PHOTOS ISGW2;
+0.000102 b_1+ e- anti-nu_e PHOTOS ISGW2;
+0.000014 a_0+ e- anti-nu_e PHOTOS ISGW2;
+0.000014 a_2+ e- anti-nu_e PHOTOS ISGW2;
+
+#0.001892 Xu+ e- anti-nu_e PHOTOS VubHybridB0;
+Enddecay
+
+Decay B+
+0.0560 anti-D*0 e+ nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 anti-D0 e+ nu_e PHOTOS ISGW2;
+0.0056 anti-D_10 e+ nu_e PHOTOS ISGW2;
+0.0020 anti-D_0*0 e+ nu_e PHOTOS ISGW2;
+0.0037 anti-D'_10 e+ nu_e PHOTOS ISGW2;
+0.0037 anti-D_2*0 e+ nu_e PHOTOS ISGW2;
+0.0020 D*- pi+ e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0010 anti-D*0 pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0060 D- pi+ e+ nu_e PHOTOS GOITY_ROBERTS;
+0.0030 anti-D0 pi0 e+ nu_e PHOTOS GOITY_ROBERTS;
+
+0.000090 pi0 e+ nu_e PHOTOS ISGW2;
+0.000030 eta e+ nu_e PHOTOS ISGW2;
+0.000130 rho0 e+ nu_e PHOTOS ISGW2;
+0.000130 omega e+ nu_e PHOTOS ISGW2;
+0.000060 eta' e+ nu_e PHOTOS ISGW2;
+0.000082 a_10 e+ nu_e PHOTOS ISGW2;
+0.000007 a_20 e+ nu_e PHOTOS ISGW2;
+0.000048 b_10 e+ nu_e PHOTOS ISGW2;
+0.000007 a_00 e+ nu_e PHOTOS ISGW2;
+0.000004 f_0 e+ nu_e PHOTOS ISGW2;
+0.000004 f'_0 e+ nu_e PHOTOS ISGW2;
+0.000041 f_1 e+ nu_e PHOTOS ISGW2;
+0.000041 f'_1 e+ nu_e PHOTOS ISGW2;
+0.000024 h_1 e+ nu_e PHOTOS ISGW2;
+0.000024 h'_1 e+ nu_e PHOTOS ISGW2;
+0.000004 f_2 e+ nu_e PHOTOS ISGW2;
+0.000004 f'_2 e+ nu_e PHOTOS ISGW2;
+#0.001948 Xu0 e+ nu_e PHOTOS VubHybridBp;
+Enddecay
+
+Decay B-
+#
+# b -> c semileptonic
+#
+0.0560 D*0 e- anti-nu_e PHOTOS HQET 0.92 1.18 0.72;
+0.0210 D0 e- anti-nu_e PHOTOS ISGW2;
+0.0056 D_10 e- anti-nu_e PHOTOS ISGW2;
+0.0020 D_0*0 e- anti-nu_e PHOTOS ISGW2;
+0.0037 D'_10 e- anti-nu_e PHOTOS ISGW2;
+0.0037 D_2*0 e- anti-nu_e PHOTOS ISGW2;
+0.0020 D*+ pi- e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0010 D*0 pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0060 D+ pi- e- anti-nu_e PHOTOS GOITY_ROBERTS;
+0.0030 D0 pi0 e- anti-nu_e PHOTOS GOITY_ROBERTS;
+
+0.000090 pi0 e- anti-nu_e PHOTOS ISGW2;
+0.000030 eta e- anti-nu_e PHOTOS ISGW2;
+0.000130 rho0 e- anti-nu_e PHOTOS ISGW2;
+0.000130 omega e- anti-nu_e PHOTOS ISGW2;
+0.000060 eta' e- anti-nu_e PHOTOS ISGW2;
+0.000082 a_10 e- anti-nu_e PHOTOS ISGW2;
+0.000007 a_20 e- anti-nu_e PHOTOS ISGW2;
+0.000048 b_10 e- anti-nu_e PHOTOS ISGW2;
+0.000007 a_00 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f_0 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f'_0 e- anti-nu_e PHOTOS ISGW2;
+0.000041 f_1 e- anti-nu_e PHOTOS ISGW2;
+0.000041 f'_1 e- anti-nu_e PHOTOS ISGW2;
+0.000024 h_1 e- anti-nu_e PHOTOS ISGW2;
+0.000024 h'_1 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f_2 e- anti-nu_e PHOTOS ISGW2;
+0.000004 f'_2 e- anti-nu_e PHOTOS ISGW2;
+
+#0.001948 Xu0 e- anti-nu_e PHOTOS VubHybridBp;
+Enddecay
+
+Decay B_s0
+0.0210 D_s- e+ nu_e PHOTOS ISGW2;
+0.0490 D_s*- e+ nu_e PHOTOS ISGW2;
+0.0040 D_s1- e+ nu_e PHOTOS ISGW2;
+0.0040 D_s0*- e+ nu_e PHOTOS ISGW2;
+0.0070 D'_s1- e+ nu_e PHOTOS ISGW2;
+0.0070 D_s2*- e+ nu_e PHOTOS ISGW2;
+Enddecay
+
+Decay anti-B_s0
+# b --> c (l nu)
+# Sum = 24.5%
+0.0210 D_s+ e- anti-nu_e PHOTOS ISGW2;
+0.0490 D_s*+ e- anti-nu_e PHOTOS ISGW2;
+0.0040 D_s1+ e- anti-nu_e PHOTOS ISGW2;
+0.0040 D_s0*+ e- anti-nu_e PHOTOS ISGW2;
+0.0070 D'_s1+ e- anti-nu_e PHOTOS ISGW2;
+0.0070 D_s2*+ e- anti-nu_e PHOTOS ISGW2;
+Enddecay
+
+Decay Lambda_b0
+0.05460 Lambda_c+ e- anti-nu_e PHSP;
+Enddecay
+
+Decay anti-Lambda_b0
+# SemiLeptonic Decays (inclusive BR = 7.7 +/- 1.8%)
+ 0.05460 anti-Lambda_c- e+ nu_e PHSP;
+Enddecay
+
+Decay Xi_b-
+# SemiLeptonic Decays
+ 0.05460 Xi_c0 e- anti-nu_e PHSP;
+Enddecay
+
+
+Decay anti-Xi_b+
+# SemiLeptonic Decays
+ 0.05460 anti-Xi_c0 e+ nu_e PHSP;
+Enddecay
+
+Decay Xi_b0
+# SemiLeptonic Decays
+ 0.05460 Xi_c+ e- anti-nu_e PHSP;
+Enddecay
+
+Decay anti-Xi_b0
+ 0.05460 anti-Xi_c- e+ nu_e PHSP;
+Enddecay
+
+Decay Omega_b-
+# SemiLeptonic Decays
+ 0.05460 Omega_c0 e- anti-nu_e PHSP;
+Enddecay
+
+Decay anti-Omega_b+
+# SemiLeptonic Decays
+ 0.05460 anti-Omega_c0 e+ nu_e PHSP;
+Enddecay
+
+Decay pi0
+Enddecay
+
+End
+
--- /dev/null
+##
+Define dm_incohMix_B_s0 0.0
+Define dm_incohMix_B0 0.0
+Define dm_incohMix_Lambda_b0 0.0
+Define dm_incohMix_B- 0.0
+Define dm_incohMix_B_c- 0.0
+Define dm_incohMix_Xi_b0 0.0
+Define dm_incohMix_Xi_b- 0.0
+Define dm_incohMix_Omega_b- 0.0
+
+#Alias MyJPSI J/psi
+ #Define the B0B0bar mass difference
+#Define dm 0.489e12
+ # define the values of the CKM angles (alpha=70, beta=40)
+#Define beta 0.39
+ # New definitions for psiKstar modes (Lange, July 26, 2000)
+#Define PKHplus 0.159
+#Define PKHzero 0.775
+#Define PKHminus 0.612
+#Define PKphHplus 1.563
+#Define PKphHzero 0.0
+#Define PKphHminus 2.712
+
+#Define Aplus 0.490
+#Define Azero 1.10
+#Define Aminus 0.4
+#
+#Define phAplus 2.5
+#Define phAzero 0.0
+#Define phAminus -0.17
+#Define minusTwoBeta -0.78
+ # These particle aliases are used in for CP violating decays
+ # in which the decay distributions depends on how the K* decayed.
+ #
+ #
+#Alias K*L K*0
+#Alias K*S K*0
+#Alias K*0T K*0
+#Alias anti-K*0T anti-K*0
+ #
+#ChargeConj K*0T anti-K*0T
+#
+Decay B0
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi K*0T SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00003 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0012 J/psi K+ pi- PHSP;
+0.0001 J/psi K0 pi0 PHSP;
+#rl0.0007 J/psi K0 pi- pi+ PHSP;
+#rl0.00035 J/psi K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K+ pi- pi0 PHSP;
+0.0013 J/psi K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*0 PHSP;
+0.000094 J/psi phi K0 PHSP;
+Enddecay
+Decay anti-B0
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi anti-K*0T SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000030 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+
+0.0012 J/psi K- pi+ PHSP;
+0.0001 J/psi anti-K0 pi0 PHSP;
+#rl0.0007 J/psi anti-K0 pi+ pi- PHSP;
+#rl0.00035 J/psi anti-K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K- pi+ pi0 PHSP;
+0.0013 J/psi anti-K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi anti-K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi anti-K_2*0 PHSP;
+0.000094 J/psi phi anti-K0 PHSP;
+Enddecay
+
+Decay B+
+0.001007 J/psi K+ SVS;
+0.00141 J/psi K*+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.000049 J/psi pi+ SVS;
+0.00006 J/psi rho+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0002 J/psi K0 pi+ PHSP;
+0.0001 J/psi K+ pi0 PHSP;
+#rl0.0007 J/psi K+ pi- pi+ PHSP;
+#rl0.00035 J/psi K+ pi0 pi0 PHSP;
+#rl0.00035 J/psi K0 pi+ pi0 PHSP;
+0.0018 J/psi K_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*+ PHSP;
+0.000052 J/psi phi K+ PHSP;
+Enddecay
+Decay B-
+0.001007 J/psi K- SVS;
+0.00141 J/psi K*- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.000049 J/psi pi- SVS;
+0.00006 J/psi rho- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0002 J/psi anti-K0 pi- PHSP;
+0.0001 J/psi K- pi0 PHSP;
+#rl0.0007 J/psi K- pi+ pi- PHSP;
+#rl0.00035 J/psi K- pi0 pi0 PHSP;
+#rl0.00035 J/psi anti-K0 pi- pi0 PHSP;
+0.0018 J/psi K_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*- PHSP;
+
+0.000052 J/psi phi K- PHSP;
+Enddecay
+
+Decay B_s0
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi anti-K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi K0 K- pi+ PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+Enddecay
+
+Decay anti-B_s0
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi anti-K0 K+ pi- PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+Enddecay
+
+Decay Lambda_b0
+0.00047 Lambda0 J/psi PHSP;
+Enddecay
+
+Decay anti-Lambda_b0
+0.00047 anti-Lambda0 J/psi PHSP;
+Enddecay
+
+Decay B_c+
+0.01900 J/psi e+ nu_e PHOTOS PHSP;
+0.01900 J/psi mu+ nu_mu PHOTOS PHSP;
+0.00480 J/psi tau+ nu_tau PHSP;
+0.00130 J/psi pi+ SVS;
+0.00400 J/psi rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K+ SVS;
+0.00022 J/psi K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00170 J/psi D_s+ SVS;
+0.00670 J/psi D_s*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D+ SVS;
+0.00028 J/psi D*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+Enddecay
+
+Decay B_c-
+0.01900 J/psi e- anti-nu_e PHOTOS PHSP;
+0.01900 J/psi mu- anti-nu_mu PHOTOS PHSP;
+0.00480 J/psi tau- anti-nu_tau PHSP;
+0.00130 J/psi pi- SVS;
+0.00400 J/psi rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K- SVS;
+0.00022 J/psi K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00170 J/psi D_s- SVS;
+0.00670 J/psi D_s*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D- SVS;
+0.00028 J/psi D*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+Enddecay
+
+Decay Xi_b0
+0.00047 Xi0 J/psi PHSP;
+Enddecay
+
+Decay anti-Xi_b0
+0.00047 anti-Xi0 J/psi PHSP;
+Enddecay
+
+Decay Xi_b-
+0.00047 Xi- J/psi PHSP;
+Enddecay
+
+Decay anti-Xi_b+
+0.00047 anti-Xi+ J/psi PHSP;
+Enddecay
+
+Decay Omega_b-
+0.00047 Omega- J/psi PHSP;
+Enddecay
+
+Decay anti-Omega_b+
+0.00047 anti-Omega+ J/psi PHSP;
+Enddecay
+
+End
--- /dev/null
+##
+Define dm_incohMix_B_s0 0.0
+Define dm_incohMix_B0 0.0
+Define dm_incohMix_Lambda_b0 0.0
+Define dm_incohMix_B- 0.0
+Define dm_incohMix_B_c- 0.0
+Define dm_incohMix_Xi_b0 0.0
+Define dm_incohMix_Xi_b- 0.0
+Define dm_incohMix_Omega_b- 0.0
+
+#Alias MyJPSI J/psi
+ #Define the B0B0bar mass difference
+#Define dm 0.489e12
+ # define the values of the CKM angles (alpha=70, beta=40)
+#Define beta 0.39
+ # New definitions for psiKstar modes (Lange, July 26, 2000)
+#Define PKHplus 0.159
+#Define PKHzero 0.775
+#Define PKHminus 0.612
+#Define PKphHplus 1.563
+#Define PKphHzero 0.0
+#Define PKphHminus 2.712
+
+#Define Aplus 0.490
+#Define Azero 1.10
+#Define Aminus 0.4
+#
+#Define phAplus 2.5
+#Define phAzero 0.0
+#Define phAminus -0.17
+#Define minusTwoBeta -0.78
+ # These particle aliases are used in for CP violating decays
+ # in which the decay distributions depends on how the K* decayed.
+ #
+ #
+#Alias K*L K*0
+#Alias K*S K*0
+#Alias K*0T K*0
+#Alias anti-K*0T anti-K*0
+ #
+#ChargeConj K*0T anti-K*0T
+#
+Decay B0
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi K*0T SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00003 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0012 J/psi K+ pi- PHSP;
+0.0001 J/psi K0 pi0 PHSP;
+#rl0.0007 J/psi K0 pi- pi+ PHSP;
+#rl0.00035 J/psi K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K+ pi- pi0 PHSP;
+0.0013 J/psi K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*0 PHSP;
+0.000094 J/psi phi K0 PHSP;
+Enddecay
+Decay anti-B0
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi anti-K*0T SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000030 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+
+0.0012 J/psi K- pi+ PHSP;
+0.0001 J/psi anti-K0 pi0 PHSP;
+#rl0.0007 J/psi anti-K0 pi+ pi- PHSP;
+#rl0.00035 J/psi anti-K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K- pi+ pi0 PHSP;
+0.0013 J/psi anti-K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi anti-K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi anti-K_2*0 PHSP;
+0.000094 J/psi phi anti-K0 PHSP;
+Enddecay
+
+Decay B+
+0.001007 J/psi K+ SVS;
+0.00141 J/psi K*+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.000049 J/psi pi+ SVS;
+0.00006 J/psi rho+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0002 J/psi K0 pi+ PHSP;
+0.0001 J/psi K+ pi0 PHSP;
+#rl0.0007 J/psi K+ pi- pi+ PHSP;
+#rl0.00035 J/psi K+ pi0 pi0 PHSP;
+#rl0.00035 J/psi K0 pi+ pi0 PHSP;
+0.0018 J/psi K_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*+ PHSP;
+0.000052 J/psi phi K+ PHSP;
+Enddecay
+Decay B-
+0.001007 J/psi K- SVS;
+0.00141 J/psi K*- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.000049 J/psi pi- SVS;
+0.00006 J/psi rho- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0002 J/psi anti-K0 pi- PHSP;
+0.0001 J/psi K- pi0 PHSP;
+#rl0.0007 J/psi K- pi+ pi- PHSP;
+#rl0.00035 J/psi K- pi0 pi0 PHSP;
+#rl0.00035 J/psi anti-K0 pi- pi0 PHSP;
+0.0018 J/psi K_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*- PHSP;
+
+0.000052 J/psi phi K- PHSP;
+Enddecay
+
+Decay B_s0
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi anti-K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi K0 K- pi+ PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+Enddecay
+
+Decay anti-B_s0
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi anti-K0 K+ pi- PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+Enddecay
+
+Decay Lambda_b0
+0.00047 Lambda0 J/psi PHSP;
+Enddecay
+
+Decay anti-Lambda_b0
+0.00047 anti-Lambda0 J/psi PHSP;
+Enddecay
+
+Decay B_c+
+0.01900 J/psi e+ nu_e PHOTOS PHSP;
+0.01900 J/psi mu+ nu_mu PHOTOS PHSP;
+0.00480 J/psi tau+ nu_tau PHSP;
+0.00130 J/psi pi+ SVS;
+0.00400 J/psi rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K+ SVS;
+0.00022 J/psi K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00170 J/psi D_s+ SVS;
+0.00670 J/psi D_s*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D+ SVS;
+0.00028 J/psi D*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+Enddecay
+
+Decay B_c-
+0.01900 J/psi e- anti-nu_e PHOTOS PHSP;
+0.01900 J/psi mu- anti-nu_mu PHOTOS PHSP;
+0.00480 J/psi tau- anti-nu_tau PHSP;
+0.00130 J/psi pi- SVS;
+0.00400 J/psi rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K- SVS;
+0.00022 J/psi K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00170 J/psi D_s- SVS;
+0.00670 J/psi D_s*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D- SVS;
+0.00028 J/psi D*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+Enddecay
+
+Decay Xi_b0
+0.00047 Xi0 J/psi PHSP;
+Enddecay
+
+Decay anti-Xi_b0
+0.00047 anti-Xi0 J/psi PHSP;
+Enddecay
+
+Decay Xi_b-
+0.00047 Xi- J/psi PHSP;
+Enddecay
+
+Decay anti-Xi_b+
+0.00047 anti-Xi+ J/psi PHSP;
+Enddecay
+
+Decay Omega_b-
+0.00047 Omega- J/psi PHSP;
+Enddecay
+
+Decay anti-Omega_b+
+0.00047 anti-Omega+ J/psi PHSP;
+Enddecay
+
+Decay J/psi
+1.000 e+ e- PHOTOS VLL;
+Enddecay
+
+End
--- /dev/null
+##
+Define dm_incohMix_B_s0 0.0
+Define dm_incohMix_B0 0.0
+Define dm_incohMix_Lambda_b0 0.0
+Define dm_incohMix_B- 0.0
+Define dm_incohMix_B_c- 0.0
+Define dm_incohMix_Xi_b0 0.0
+Define dm_incohMix_Xi_b- 0.0
+Define dm_incohMix_Omega_b- 0.0
+
+#Alias MyJPSI J/psi
+ #Define the B0B0bar mass difference
+#Define dm 0.489e12
+ # define the values of the CKM angles (alpha=70, beta=40)
+#Define beta 0.39
+ # New definitions for psiKstar modes (Lange, July 26, 2000)
+#Define PKHplus 0.159
+#Define PKHzero 0.775
+#Define PKHminus 0.612
+#Define PKphHplus 1.563
+#Define PKphHzero 0.0
+#Define PKphHminus 2.712
+
+#Define Aplus 0.490
+#Define Azero 1.10
+#Define Aminus 0.4
+#
+#Define phAplus 2.5
+#Define phAzero 0.0
+#Define phAminus -0.17
+#Define minusTwoBeta -0.78
+ # These particle aliases are used in for CP violating decays
+ # in which the decay distributions depends on how the K* decayed.
+ #
+ #
+#Alias K*L K*0
+#Alias K*S K*0
+#Alias K*0T K*0
+#Alias anti-K*0T anti-K*0
+ #
+#ChargeConj K*0T anti-K*0T
+#
+Decay B0
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi K*0T SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.00003 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0012 J/psi K+ pi- PHSP;
+0.0001 J/psi K0 pi0 PHSP;
+#rl0.0007 J/psi K0 pi- pi+ PHSP;
+#rl0.00035 J/psi K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K+ pi- pi0 PHSP;
+0.0013 J/psi K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*0 PHSP;
+0.000094 J/psi phi K0 PHSP;
+Enddecay
+Decay anti-B0
+0.000436 J/psi K_S0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 -1.0 0.0;
+0.000436 J/psi K_L0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.0002215 J/psi K*S SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.0002215 J/psi K*L SVV_CP beta dm -1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000886 J/psi anti-K*0T SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0000205 J/psi pi0 SSD_CP dm 0.0 1.0 minusTwoBeta 1.0 0.0 1.0 0.0;
+0.000016 J/psi rho0 SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+0.000030 J/psi omega SVV_CP beta dm 1 Aplus phAplus Azero phAzero Aminus phAminus;
+
+0.0012 J/psi K- pi+ PHSP;
+0.0001 J/psi anti-K0 pi0 PHSP;
+#rl0.0007 J/psi anti-K0 pi+ pi- PHSP;
+#rl0.00035 J/psi anti-K0 pi0 pi0 PHSP;
+#rl0.00035 J/psi K- pi+ pi0 PHSP;
+0.0013 J/psi anti-K_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi anti-K'_10 SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi anti-K_2*0 PHSP;
+0.000094 J/psi phi anti-K0 PHSP;
+Enddecay
+
+Decay B+
+0.001007 J/psi K+ SVS;
+0.00141 J/psi K*+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.000049 J/psi pi+ SVS;
+0.00006 J/psi rho+ SVV_HELAMP PKHminus PKphHminus PKHzero PKphHzero PKHplus PKphHplus;
+0.0002 J/psi K0 pi+ PHSP;
+0.0001 J/psi K+ pi0 PHSP;
+#rl0.0007 J/psi K+ pi- pi+ PHSP;
+#rl0.00035 J/psi K+ pi0 pi0 PHSP;
+#rl0.00035 J/psi K0 pi+ pi0 PHSP;
+0.0018 J/psi K_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1+ SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*+ PHSP;
+0.000052 J/psi phi K+ PHSP;
+Enddecay
+Decay B-
+0.001007 J/psi K- SVS;
+0.00141 J/psi K*- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.000049 J/psi pi- SVS;
+0.00006 J/psi rho- SVV_HELAMP PKHplus PKphHplus PKHzero PKphHzero PKHminus PKphHminus;
+0.0002 J/psi anti-K0 pi- PHSP;
+0.0001 J/psi K- pi0 PHSP;
+#rl0.0007 J/psi K- pi+ pi- PHSP;
+#rl0.00035 J/psi K- pi0 pi0 PHSP;
+#rl0.00035 J/psi anti-K0 pi- pi0 PHSP;
+0.0018 J/psi K_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0001 J/psi K'_1- SVV_HELAMP 0.5 0.0 1.0 0.0 0.5 0.0;
+0.0005 J/psi K_2*- PHSP;
+
+0.000052 J/psi phi K- PHSP;
+Enddecay
+
+Decay B_s0
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi anti-K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi K0 K- pi+ PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+Enddecay
+
+Decay anti-B_s0
+0.00064 J/psi eta' SVS;
+0.00032 J/psi eta SVS;
+0.00135 J/psi phi SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00008 J/psi K0 SVS;
+0.00070 J/psi K- K+ PHSP;
+0.00070 J/psi anti-K0 K0 PHSP;
+0.00070 J/psi anti-K0 K+ pi- PHSP;
+0.00070 J/psi anti-K0 K0 pi0 PHSP;
+0.00070 J/psi K- K+ pi0 PHSP;
+Enddecay
+
+Decay Lambda_b0
+0.00047 Lambda0 J/psi PHSP;
+Enddecay
+
+Decay anti-Lambda_b0
+0.00047 anti-Lambda0 J/psi PHSP;
+Enddecay
+
+Decay B_c+
+0.01900 J/psi e+ nu_e PHOTOS PHSP;
+0.01900 J/psi mu+ nu_mu PHOTOS PHSP;
+0.00480 J/psi tau+ nu_tau PHSP;
+0.00130 J/psi pi+ SVS;
+0.00400 J/psi rho+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K+ SVS;
+0.00022 J/psi K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00170 J/psi D_s+ SVS;
+0.00670 J/psi D_s*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D+ SVS;
+0.00028 J/psi D*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+Enddecay
+
+Decay B_c-
+0.01900 J/psi e- anti-nu_e PHOTOS PHSP;
+0.01900 J/psi mu- anti-nu_mu PHOTOS PHSP;
+0.00480 J/psi tau- anti-nu_tau PHSP;
+0.00130 J/psi pi- SVS;
+0.00400 J/psi rho- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00011 J/psi K- SVS;
+0.00022 J/psi K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00170 J/psi D_s- SVS;
+0.00670 J/psi D_s*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+0.00009 J/psi D- SVS;
+0.00028 J/psi D*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0;
+Enddecay
+
+Decay Xi_b0
+0.00047 Xi0 J/psi PHSP;
+Enddecay
+
+Decay anti-Xi_b0
+0.00047 anti-Xi0 J/psi PHSP;
+Enddecay
+
+Decay Xi_b-
+0.00047 Xi- J/psi PHSP;
+Enddecay
+
+Decay anti-Xi_b+
+0.00047 anti-Xi+ J/psi PHSP;
+Enddecay
+
+Decay Omega_b-
+0.00047 Omega- J/psi PHSP;
+Enddecay
+
+Decay anti-Omega_b+
+0.00047 anti-Omega+ J/psi PHSP;
+Enddecay
+
+Decay J/psi
+1.000 mu+ mu- PHOTOS VLL;
+Enddecay
+
+End
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed
+// for the BaBar collaboration. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtCheckDecays
+//
+// Description: Holds code to conduct various checks on the
+// EvtDecayTable::decaytable()
+//
+// Modification history:
+// Abi Soffer Nov 29, 2007, created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGen/EvtCheckDecays.hh"
+
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <vector>
+#include <string.h>
+#include <iostream>
+using namespace std;
+
+
+
+void EvtCheckDecays::checkConj(bool compareArguments) {
+ std::ostream & str = report(INFO, "EvtGen: checkConj")
+ << "Checking CP-conjugation of all decays:" << endl;
+
+ const std::vector<EvtParticleDecayList> & decaytable
+ = EvtDecayTable::decaytable();
+
+ vector<unsigned int> skipEntries;
+
+ // Loop over the entris (=particles) in the decay table:
+ for(size_t e = 0; e < decaytable.size(); ++e){
+ bool diffFound = false;
+
+ // Skip entries that were already found to be conjugates of other
+ // particles:
+ bool skipThis = false;
+ for (size_t s = 0; s < skipEntries.size(); ++s) {
+ if (skipEntries[s] == e) {
+ skipThis = true;
+ break;
+ }
+ }
+ if (skipThis) {
+ continue;
+ }
+
+ // Start working with this particle's decays list:
+ const EvtParticleDecayList & decList = decaytable[e];
+
+ if (decList.getNMode() == 0) { // an undecaying entry in the table. ignore:
+ continue;
+ }
+
+ // Get the decaying particle's ID (somewhat non-intuitively, this
+ // is available from the individual decays, but not the decay list):
+ const EvtId parentId = decList.getDecayModel(0)->getParentId();
+
+ if (selfConj(parentId)) { // ignore self-conjugate particles:
+ continue;
+ }
+
+ // Find the charge conjugate particle by looping over decaytable again:
+ const EvtParticleDecayList * decList2 = 0;
+ bool conjFound = false;
+
+ // Need to create parentId2 out of the loop in which it gets filled witn
+ // meaningful information. Since EVtId has no argumentless constructor,
+ // initialize it to parentId. This won't cause logic problems, since
+ // the variable conjFound is used to determine if parentId2 is meaningful:
+ EvtId parentId2 = parentId;
+
+ // the loop starts at e + 1, so as not to double count:
+ for(size_t e2 = e + 1; e2 < EvtPDL::entries(); ++e2){
+ decList2 = &(decaytable[e2]);
+
+ if (decList2->getNMode() == 0) { // an undecaying entry. ignore:
+ continue;
+ }
+
+ parentId2 = decList2->getDecayModel(0)->getParentId();
+ if (parentId2.isConjugate(parentId)) {
+ conjFound = true;
+ skipEntries.push_back(e2);
+ break; // found the conjugate. decList2 is the conj of decList
+ }
+ }
+
+ // Check if conjugate was found:
+ if (false == conjFound) {
+ report(INFO, "EvtGen: checkConj")
+ << "No conjugate particle decays found for " << EvtPDL::name(parentId)
+ << endl;
+ }
+ else { // conjugate found.
+ const std::string name = EvtPDL::name(parentId);
+ const std::string name2 = EvtPDL::name(parentId2);
+
+ // Analyze the two decays and compare them:
+ // First, compare the number of decay modes:
+ if (decList.getNMode() != decList2->getNMode()) {
+ report(INFO, "EvtGen: checkConj")
+ << "*** Unequal numbers of decays: "
+ << decList.getNMode() << " for " << name
+ << " and " << decList2->getNMode() << " for " << name2
+ << "." << endl;
+
+ // Find the particle with the more decays:
+ const EvtParticleDecayList * decListLonger = &decList;
+ string nameLonger = name;
+ string nameShorter = name2;
+ if (decList.getNMode() < decList2->getNMode()) {
+ decListLonger = decList2;
+ nameLonger = name2;
+ nameShorter = name;
+ }
+
+ const int ndiff = abs(decList.getNMode() - decList2->getNMode());
+ str << " The last " << ndiff << " " << nameLonger
+ << " decays (the ones missing from " << nameShorter
+ << ", assuming" << endl
+ << " there are no other problems) are " << endl;
+
+ for (int m = decListLonger->getNMode() - ndiff;
+ m < decListLonger->getNMode();
+ ++m) {
+ const EvtDecayBase * dec = decListLonger->getDecayModel(m);
+ str << " ";
+ dec->printInfo();
+ }
+
+ diffFound = true;
+ }
+
+ // Compare each decay mode. Expect them to be entered in the same order:
+ for (int m=0; m < decList.getNMode() && m < decList2->getNMode(); ++m) {
+ const EvtDecayBase * dec = decList.getDecayModel(m);
+ const EvtDecayBase * dec2 = decList2->getDecayModel(m);
+
+ // Compare BRs:
+ if (dec->getBranchingFraction() != dec2->getBranchingFraction()) {
+ report(INFO, "EvtGen: checkConj")
+ << "*** Unequal BRs: " << endl << " "
+ << dec->getBranchingFraction() << " for decay ";
+ dec->printInfo();
+ str << "O and " << endl << " "
+ << dec2->getBranchingFraction() << " for decay ";
+ dec2->printInfo();
+ str << endl;
+ diffFound = true;
+ }
+
+ // Compare number of daughters:
+ if (dec->getNDaug() != dec2->getNDaug()) {
+ report(INFO, "EvtGen: checkConj")
+ << "*** Unequal #'s of daughters: " << endl << " "
+ << dec->getNDaug() << " for decay ";
+ dec->printInfo();
+ str << " and " << endl << " "
+ << dec2->getNDaug() << " for decay ";
+ dec2->printInfo();
+ str << endl;
+ diffFound = true;
+ }
+
+
+ // Compare daughter ID's. Here we allow for the daughter order
+ // not to match, since it's a common practice to write DECAY.DEC
+ // without much regard to carefully conjugating the daughter order:
+
+ vector<int> usedDtrIndices; // to avoid double-considering a dtr2
+ for (int d = 0; d < dec->getNDaug(); ++d) { // loop on dtrs of dec
+ const EvtId dtr = dec->getDaug(d);
+ const bool sConj = selfConj(dtr);
+
+ bool dtrMatchFound = false;
+
+ for (int d2 = 0; d2 < dec2->getNDaug(); ++d2) { // on dtrs of dec2
+ // Skip if this index has been already found for this decay:
+ bool skipDtr = false;
+ for (size_t s = 0; s < usedDtrIndices.size(); ++s) {
+ if (usedDtrIndices[s] == d2) {
+ skipDtr = true;
+ break;
+ }
+ if (skipDtr) {
+ continue; // to next value of d2
+ }
+ } // end loop on s
+
+ const EvtId dtr2 = dec2->getDaug(d2);
+ // See if there is a matching daughter: Either dtr is
+ // self-conjugate and we find an identical particle among
+ // dec2's daughters, or it is no self-conjugate and we
+ // find its conjugate:
+ if (dtr.isConjugate(dtr2) && !sConj ||
+ dec->getDaug(d) == dec2->getDaug(d2) && sConj) {
+ dtrMatchFound = true;
+ usedDtrIndices.push_back(d2); // don't consider this d2 again
+ break; // out of d2 loop
+ }
+ } // end d2 loop
+
+ if (false == dtrMatchFound) {
+ // Couldn't find a match for dtr among the daughters of dec2, so:
+ report(INFO, "EvtGen: checkConj")
+ << "*** Daughter #" << d << " in decay"
+ << endl << " ";
+ dec->printInfo();
+ str << " has no conjugate in decay " << endl << " ";
+ dec2->printInfo();
+ str << endl;
+ diffFound = true;
+ }
+ }
+
+ // Compare models:
+ if (dec->getModelName() != dec2->getModelName()) {
+ report(INFO, "EvtGen: checkConj")
+ << "*** Unequal model names in decays: " << endl << " ";
+ dec->printInfo();
+ str << " and " << endl << " ";
+ dec2->printInfo();
+ str << endl;
+ diffFound = true;
+ }
+
+ // Compare numbers of arguments:
+ if (dec->getNArg() != dec2->getNArg()) {
+ report(INFO, "EvtGen: checkConj")
+ << "*** Unequal numbers of arguments: " << endl << " "
+ << dec->getNArg() << " in decay ";
+ dec->printInfo();
+ str << " and " << endl << " "
+ << dec2->getNArg() << " in decay ";
+ dec2->printInfo();
+ str << endl;
+ diffFound = true;
+ }
+
+ // Argument value comparison may not always be desired, since
+ // the argument values aren't always stored by EvtDecayBase, causing
+ // many printouts:
+ if (compareArguments) {
+ // Compare argument values. First, check if we can tell
+ // the numbers of arguments correctly:
+ if ( dec->getNArg() != dec->getNStoredArg() ||
+ dec2->getNArg() != dec2->getNStoredArg()) {
+ report(INFO, "EvtGen: checkConj")
+ << "=== Not sure about number of arguments in decay"
+ << endl << " ";
+ dec->printInfo();
+ str << " and " << endl << " ";
+ dec2->printInfo();
+ str << " Argument value comparison may not be complete." << endl;
+ }
+
+ // Now do the actual argument values comparison:
+ for (int a = 0; a < dec->getNArg() && a < dec2->getNArg()
+ && a < dec->getNStoredArg() && a < dec2->getNStoredArg();
+ ++a) {
+ if (dec->getStoredArg(a) != dec2->getStoredArg(a)) {
+ report(INFO, "EvtGen: checkConj")
+ << "*** Unequal arguments #: " << a << ":"
+ << endl << " "
+ << dec->getStoredArg(a) << " for decay ";
+ dec->printInfo();
+ str << " and " << endl << " "
+ << dec2->getStoredArg(a) << " for decay ";
+ dec2->printInfo();
+ str << endl;
+ diffFound = true;
+ } // end if arguments unequal
+ } // end loop on arguments
+ } // end if to compare arguments
+ } // end loop on decays
+ } // end if conjugate found
+
+ if (diffFound) { // mark diff between particle decays
+ report(INFO, "EvtGen: checkConj")
+ << "-------------------------------------------------------" << endl;
+ }
+
+ } // end loop on particle entries
+}
+
+
+
+bool EvtCheckDecays::selfConj(const EvtId & id) {
+ string name = EvtPDL::name(id);
+ if (name == "vpho" ||
+ name == "gamma" ||
+ name == "g" ||
+ name == "specflav" ||
+ name == "phasespa" ||
+ name == "pi0" ||
+ name == "pi(2S)0" ||
+ name == "eta" ||
+ name == "eta(2S)" ||
+ name == "eta(1405)" ||
+ name == "eta(1475)" ||
+ name == "phi(1680)" ||
+ name == "eta'" ||
+ name == "rho0" ||
+ name == "rho(2S)0" ||
+ name == "rho(3S)0" ||
+ name == "omega" ||
+ name == "phi" ||
+ name == "a_00" ||
+ name == "f_0" ||
+ name == "f'_0" ||
+ name == "b_10" ||
+ name == "h_1" ||
+ name == "h'_1" ||
+ name == "a_10" ||
+ name == "f_1" ||
+ name == "f'_1" ||
+ name == "a_10" ||
+ name == "a_20" ||
+ name == "f_2" ||
+ name == "f_0(1500)" ||
+ name == "f'_2" ||
+ name == "K_S0" ||
+ name == "K_L0" ||
+ name == "eta_c" ||
+ name == "eta_c(2S)" ||
+ name == "J/psi" ||
+ name == "psi(2S)" ||
+ name == "psi(3770)" ||
+ name == "psi(4040)" ||
+ name == "psi(4160)" ||
+ name == "psi(4415)" ||
+ name == "h_c" ||
+ name == "chi_c0" ||
+ name == "chi_c1" ||
+ name == "chi_c2" ||
+ name == "eta_b" ||
+ name == "eta_b(2S)" ||
+ name == "eta_b(3S)" ||
+ name == "Upsilon" ||
+ name == "Upsilon(2S)" ||
+ name == "Upsilon(3S)" ||
+ name == "Upsilon(4S)" ||
+ name == "Upsilon(5S)" ||
+ name == "h_b" ||
+ name == "h_b(2P)" ||
+ name == "h_b(3P)" ||
+ name == "chi_b0" ||
+ name == "chi_b1" ||
+ name == "chi_b2" ||
+ name == "chi_b0(2P)" ||
+ name == "chi_b1(2P)" ||
+ name == "chi_b2(2P)" ||
+ name == "chi_b0(3P)" ||
+ name == "chi_b1(3P)" ||
+ name == "chi_b2(3P)" ||
+ name == "eta_b2(1D)" ||
+ name == "eta_b2(2D)" ||
+ name == "Upsilon_1(1D)" ||
+ name == "Upsilon_2(1D)" ||
+ name == "Upsilon_3(1D)" ||
+ name == "Upsilon_1(2D)" ||
+ name == "Upsilon_2(2D)" ||
+ name == "Upsilon_3(2D)" ||
+ name == "Xu0" ||
+ name == "sigma_0") {
+ return true;
+ }
+
+ return false;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed
+// for the BaBar collaboration. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtCheckDecays
+//
+// Description: Holds code to conduct various checks on the
+// EvtDecayTable::decaytable()
+//
+// Modification history:
+// Abi Soffer Nov 29, 2007, created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTCHECKDECAYS
+#define EVTCHECKDECAYS
+
+class EvtId;
+
+class EvtCheckDecays {
+public:
+// check CP conservation in the decay BRs, daughters, and models:
+ static void checkConj(bool compareArguments = false);
+
+ // Used by checkConj() to identify self-conjugate particles:
+ static bool selfConj(const EvtId & id);
+
+private:
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen.cc
+//
+// Description: Main class to provide user interface to EvtGen.
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdio.h>
+#include <fstream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include <stdlib.h>
+#include "EvtGen/EvtGen.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtStdHep.hh"
+#include "EvtGenBase/EvtSecondary.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtRandomEngine.hh"
+#include "EvtGenBase/EvtSimpleRandomEngine.hh"
+#include "EvtGenBase/EvtParticleFactory.hh"
+//#include "CLHEP/Vector/LorentzVector.h"
+#include "TLorentzVector.h"
+#include "EvtGenModels/EvtModelReg.hh"
+#include "EvtGenBase/EvtStatus.hh"
+#include "EvtGenBase/EvtAbsRadCorr.hh"
+#include "EvtGenBase/EvtRadCorr.hh"
+#include "EvtGenModels/EvtPHOTOS.hh"
+using std::endl;
+using std::fstream;
+using std::ifstream;
+
+
+extern "C" void begevtgenstore_(int *,int *,int *,int *,
+ int *,int *,int *,int *,int *,
+ double *,double *,double *,
+ double *,double *,double *,
+ double *,double *,double *);
+
+extern "C" {
+extern void evtgen_(float svertex[3],float *e_cms,float *beta_zs,
+ int *mode);
+}
+
+EvtGen::~EvtGen(){
+
+ //This is a bit uggly, should not do anything
+ //in a destructor. This will fail if EvtGen is made a static
+ //because then this destructor might be called _after_
+ //the destructoin of objects that it depends on, e.g., EvtPDL.
+
+ if (getenv("EVTINFO")){
+ EvtDecayTable::printSummary();
+ }
+
+}
+
+EvtGen::EvtGen(const char* const decayName,
+ const char* const pdtTableName,
+ EvtRandomEngine* randomEngine,
+ EvtAbsRadCorr* isrEngine,
+ const std::list<EvtDecayBase*>* extraModels){
+
+
+ report(INFO,"EvtGen") << "Initializing EvtGen"<<endl;
+
+ report(INFO,"EvtGen") << "Storing known decay models"<<endl;
+ EvtModelReg dummy(extraModels);
+
+ report(INFO,"EvtGen") << "Main decay file name :"<<decayName<<endl;
+ report(INFO,"EvtGen") << "PDT table file name :"<<pdtTableName<<endl;
+
+ report(INFO,"EvtGen") << "Initializing RadCorr=PHOTOS"<<endl;
+ if (isrEngine==0){
+ static EvtPHOTOS defaultRadCorrEngine;
+ EvtRadCorr::setRadCorrEngine(&defaultRadCorrEngine);
+ }
+ else{
+ EvtRadCorr::setRadCorrEngine(isrEngine);
+ }
+
+ _pdl.readPDT(pdtTableName);
+
+ EvtDecayTable::readDecayFile(decayName,false);
+
+ if (randomEngine==0){
+ static EvtSimpleRandomEngine defaultRandomEngine;
+ EvtRandom::setRandomEngine((EvtRandomEngine*)&defaultRandomEngine);
+ report(INFO,"EvtGen") <<"No random engine given in "
+ <<"EvtGen::EvtGen constructor, "
+ <<"will use default EvtSimpleRandomEngine."<<endl;
+ }
+ else{
+ EvtRandom::setRandomEngine(randomEngine);
+ }
+
+ report(INFO,"EvtGen") << "Done initializing EvtGen"<<endl;
+
+}
+
+
+void EvtGen::readUDecay(const char* const uDecayName){
+
+ ifstream indec;
+
+ if ( uDecayName[0] == 0) {
+ report(INFO,"EvtGen") << "Is not reading a user decay file!"<<endl;
+ }
+ else{
+ indec.open(uDecayName);
+ if (indec) {
+ EvtDecayTable::readDecayFile(uDecayName,true);
+ }
+ else{
+
+ report(INFO,"EvtGen") << "Can not find UDECAY file '"
+ <<uDecayName<<"'. Stopping"<<endl;
+ ::abort();
+ }
+ }
+
+}
+
+
+void EvtGen::generateDecay(int stdhepid,
+ EvtVector4R P,
+ EvtVector4R D,
+ EvtStdHep *evtStdHep,
+ EvtSpinDensity *spinDensity ){
+
+
+ EvtParticle *p;
+
+ if(spinDensity==0){
+ p=EvtParticleFactory::particleFactory(EvtPDL::evtIdFromStdHep(stdhepid),P);
+ }
+ else{
+ p=EvtParticleFactory::particleFactory(EvtPDL::evtIdFromStdHep(stdhepid),
+ P,*spinDensity);
+ }
+
+ generateDecay(p);
+ // p->Decay();
+
+ evtStdHep->init();
+
+ p->makeStdHep(*evtStdHep);
+
+ evtStdHep->translate(D);
+
+ p->deleteTree();
+
+
+}
+
+void EvtGen::generateDecay(EvtParticle *p){
+
+ int times=0;
+ do{
+ times+=1;
+ EvtStatus::initRejectFlag();
+
+ p->decay();
+ //ok then finish.
+ if ( EvtStatus::getRejectFlag()==0 ) {
+ times=0;
+ }
+ else{
+ for (size_t ii=0;ii<p->getNDaug();ii++){
+ EvtParticle *temp=p->getDaug(ii);
+ temp->deleteTree();
+ }
+ p->resetFirstOrNot();
+ p->resetNDaug();
+
+ }
+
+ if ( times==10000) {
+ report(ERROR,"EvtGen") << "Your event has been rejected 10000 times!"<<endl;
+ report(ERROR,"EvtGen") << "Will now abort."<<endl;
+ ::abort();
+ times=0;
+ }
+ } while (times);
+
+}
+
+
+
+//void EvtGen::generateEvent(int stdhepid,CLHEP::HepLorentzVector P,CLHEP::HepLorentzVector D){
+void EvtGen::generateEvent(int stdhepid,TLorentzVector P,TLorentzVector D){
+ EvtParticle *root_part;
+ EvtVectorParticle *vector_part;
+
+ vector_part=new EvtVectorParticle;
+ EvtVector4R p_init;
+
+ //p_init.set(P.t(),P.x(),P.y(),P.z());
+ p_init.set(P.E(),P.Px(),P.Py(),P.Pz());
+ vector_part->init(EvtPDL::evtIdFromStdHep(stdhepid),p_init);
+
+ root_part=(EvtParticle *)vector_part;
+
+ root_part->setVectorSpinDensity();
+
+ generateEvent(root_part,D);
+
+ root_part->deleteTree();
+
+}
+
+//void EvtGen::generateEvent(EvtParticle *root_part,CLHEP::HepLorentzVector D){
+void EvtGen::generateEvent(EvtParticle *root_part,TLorentzVector D){
+ int i;
+
+ static int nevent=0;
+
+ nevent++;
+
+ static EvtStdHep evtstdhep;
+ // static EvtSecondary evtsecondary;
+
+ int j;
+ int istat;
+ int partnum;
+ double px,py,pz,e,m;
+ double x,y,z,t;
+
+ EvtVector4R p4,x4;
+
+ generateDecay(root_part);
+ // root_part->Decay();
+
+ int npart=0;
+
+ EvtId list_of_stable[10];
+ EvtParticle* stable_parent[10];
+
+
+ list_of_stable[0]=EvtId(-1,-1);
+ stable_parent[0]=0;
+
+ evtstdhep.init();
+ // evtsecondary.init();
+ // root_part->makeStdHep(evtstdhep,evtsecondary,list_of_stable);
+ root_part->makeStdHep(evtstdhep);
+
+ //report(INFO,"EvtGen") << evtstdhep;
+ //report(INFO,"EvtGen") << evtsecondary;
+
+ npart=evtstdhep.getNPart();
+
+ for(i=0;i<evtstdhep.getNPart();i++){
+
+ j=i+1;
+
+ int jmotherfirst=evtstdhep.getFirstMother(i)+1;
+ int jmotherlast=evtstdhep.getLastMother(i)+1;
+ int jdaugfirst=evtstdhep.getFirstDaughter(i)+1;
+ int jdauglast=evtstdhep.getLastDaughter(i)+1;
+
+ partnum=evtstdhep.getStdHepID(i);
+
+ istat=evtstdhep.getIStat(i);
+
+ p4=evtstdhep.getP4(i);
+ x4=evtstdhep.getX4(i);
+
+ px=p4.get(1);
+ py=p4.get(2);
+ pz=p4.get(3);
+ e=p4.get(0);
+
+ x=x4.get(1)+D.X();
+ y=x4.get(2)+D.Y();
+ z=x4.get(3)+D.Z();
+ t=x4.get(0)+D.T();
+
+ m=p4.mass();
+
+ begevtgenstore_(&j,&nevent,&npart,&istat,
+ &partnum,&jmotherfirst,&jmotherlast,
+ &jdaugfirst,&jdauglast,
+ &px,&py,&pz,&e,
+ &m,&x,&y,&z,&t);
+ }
+
+}
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtGen.hh
+//
+// Description:Main class to provide user interface to EvtGen.
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+//
+// DJL August 10, 1998 Additional Event member function added
+//
+// RYD December 25, 1999 Any application using EvtGen will need
+// to instantiate an instance of this class
+// and hold on to it untill done generating
+// events. This class will now hold data used
+// for the lifetime of the generator.
+//------------------------------------------------------------------------
+
+#ifndef EVTGEN_HH
+#define EVTGEN_HH
+
+#include "EvtGenBase/EvtPDL.hh"
+#include "TLorentzVector.h"
+#include "EvtGenBase/EvtVector4R.hh"
+//#include "CLHEP/Vector/LorentzVector.h"
+
+#include <list>
+
+class EvtParticle;
+class EvtRandomEngine;
+//class EvtVector4R;
+class EvtStdHep;
+class EvtSpinDensity;
+class EvtAbsRadCorr;
+class EvtDecayBase;
+
+//#ifdef NOCLHEPNAMESPACE
+//namespace CLHEP {
+//typedef HepLorentzVector HepLorentzVector ;
+//}
+//#endif
+
+class EvtGen{
+
+public:
+
+ EvtGen(const char* const decayName,const char* const pdtTableName,
+ EvtRandomEngine* randomEngine=0, EvtAbsRadCorr *isrEngine=0,
+ const std::list<EvtDecayBase*>* extraModels=0);
+
+ ~EvtGen();
+
+ void readUDecay(const char* const udecay_name);
+
+ void generateDecay(int stdhepid, EvtVector4R P, EvtVector4R D,
+ EvtStdHep *evtStdHep,EvtSpinDensity *spinDensity=0);
+
+ void generateDecay(EvtParticle *p);
+
+ //These two methods are obsolete
+ //void generateEvent(int stdhepid, CLHEP::HepLorentzVector P, CLHEP::HepLorentzVector D);
+ void generateEvent(int stdhepid, TLorentzVector P, TLorentzVector D);
+ //void generateEvent(EvtParticle *p, CLHEP::HepLorentzVector D);
+ void generateEvent(EvtParticle *p, TLorentzVector D);
+
+private:
+
+ EvtPDL _pdl;
+
+};
+
+
+
+#endif
+
--- /dev/null
+#ifdef __CINT__
+
+#pragma link off all globals;
+#pragma link off all classes;
+#pragma link off all functions;
+
+//#pragma link C++ class EvtCheckDecays+;
+//#pragma link C++ class EvtGen+;
+
+#endif
--- /dev/null
+#New EvtGen makefile October 5, 1998
+#Authors David Lange and Anders Ryd
+
+
+include $(ROOTSYS)/test/Makefile.arch
+
+SRCSC= $(wildcard *.cc)
+SRCSF= $(wildcard *.F)
+
+OBJSC = $(SRCSC:%.cc=%.o)
+OBJSF = $(SRCSF:%.F=%.o)
+
+OBJS = $(OBJSC)
+OBJS += $(OBJSF)
+
+LIBOBJS=$(filter-out top.o testEvtGen.o ,$(OBJS))
+
+include config.mk
+
+lib: depend comp ar baselib modelslib shar
+#lib: comp ar baselib modelslib
+
+comp:$(OBJS)
+
+clean:
+ rm -f *.o libEvtGen.a libEvtGenBase.a libEvtGenModels.a ../Evt*/*.o testEvtGen libEvtGen.so ../EvtGenBase/libEvtGenBase.so ../EvtGenModels/libEvtGenModels.so
+
+
+depend:
+ @echo "Checking makedepend in EvtGen"
+ @makedepend -- $(EVTDEPINC) -- -Y $(SRCSC) $(SRCSF)
+
+
+#.cc.o:
+# $(EVTCXX) $(EVTCXXFLAGS) -c $<
+
+.cc.o:
+ $(CXX) $(CXXFLAGS) $(EVTCXXFLAGS) -c $<
+
+
+.F.o:
+ $(EVTF77) $(EVTF77FLAGS) -c $<
+
+ar:
+ @if (test -f libEvtGen.a ) then (rm libEvtGen.a) fi
+ @ar rv libEvtGen.a $(LIBOBJS) >& /dev/null
+ @echo "Done making libEvtGen.a"
+
+shar:
+ @$(CXX) $(CXXFLAGS) $(SOFLAGS) -o libEvtGen.so $(LIBOBJS)
+ @echo "Done making libEvtGen.so"
+baselib:
+ @cd ../EvtGenBase; gmake lib; cd ../EvtGen
+
+modelslib:
+ @cd ../EvtGenModels; gmake lib; cd ../EvtGen
+
+# DO NOT DELETE THIS LINE -- make depend depends on it.
+
+EvtCheckDecays.o: ../EvtGenBase/EvtPatches.hh ../EvtGen/EvtCheckDecays.hh
+EvtCheckDecays.o: ../EvtGenBase/EvtDecayTable.hh
+EvtCheckDecays.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtId.hh
+EvtCheckDecays.o: /usr/include/c++/3.4.6/iostream
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtCheckDecays.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtCheckDecays.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtCheckDecays.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/cstring
+EvtCheckDecays.o: /usr/include/c++/3.4.6/cstddef
+EvtCheckDecays.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtCheckDecays.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtCheckDecays.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtCheckDecays.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtCheckDecays.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtCheckDecays.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtCheckDecays.o: /usr/include/gconv.h
+EvtCheckDecays.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtCheckDecays.o: /usr/include/bits/stdio_lim.h
+EvtCheckDecays.o: /usr/include/bits/sys_errlist.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtCheckDecays.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtCheckDecays.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtCheckDecays.o: /usr/include/libintl.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtCheckDecays.o: /usr/include/pthread.h /usr/include/sched.h
+EvtCheckDecays.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtCheckDecays.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtCheckDecays.o: /usr/include/bits/pthreadtypes.h
+EvtCheckDecays.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtCheckDecays.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtCheckDecays.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtCheckDecays.o: /usr/include/ctype.h /usr/include/endian.h
+EvtCheckDecays.o: /usr/include/bits/endian.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtCheckDecays.o: /usr/include/stdint.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/exception
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/climits
+EvtCheckDecays.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtCheckDecays.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtCheckDecays.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtCheckDecays.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/limits
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/algorithm
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtCheckDecays.o: /usr/include/c++/3.4.6/streambuf
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtCheckDecays.o: /usr/include/c++/3.4.6/locale
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtCheckDecays.o: /usr/include/c++/3.4.6/typeinfo
+EvtCheckDecays.o: /usr/include/c++/3.4.6/istream
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtCheckDecays.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtCheckDecays.o: /usr/include/c++/3.4.6/vector
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtCheckDecays.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtCheckDecays.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtCheckDecays.o: ../EvtGenBase/EvtPartProp.hh
+EvtCheckDecays.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtCheckDecays.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtCheckDecays.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtGen.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdio.h
+EvtGen.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtGen.o: /usr/include/gnu/stubs.h
+EvtGen.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtGen.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtGen.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtGen.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtGen.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtGen.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtGen.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtGen.o: /usr/include/c++/3.4.6/fstream /usr/include/c++/3.4.6/istream
+EvtGen.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtGen.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtGen.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtGen.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtGen.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtGen.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtGen.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtGen.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtGen.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtGen.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtGen.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtGen.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtGen.o: /usr/include/ctype.h /usr/include/endian.h
+EvtGen.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtGen.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtGen.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtGen.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtGen.o: /usr/include/c++/3.4.6/exception
+EvtGen.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtGen.o: /usr/include/c++/3.4.6/climits
+EvtGen.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtGen.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtGen.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtGen.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtGen.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtGen.o: /usr/include/assert.h /usr/include/c++/3.4.6/bits/localefwd.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtGen.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtGen.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtGen.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtGen.o: /usr/include/c++/3.4.6/limits
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtGen.o: /usr/include/c++/3.4.6/algorithm
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtGen.o: /usr/include/c++/3.4.6/streambuf
+EvtGen.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtGen.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtGen.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtGen.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtGen.o: /usr/include/c++/3.4.6/locale
+EvtGen.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtGen.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/ostream
+EvtGen.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtGen.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/fstream.tcc /usr/include/math.h
+EvtGen.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtGen.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtComplex.hh
+EvtGen.o: /usr/include/c++/3.4.6/iostream ../EvtGenBase/EvtConst.hh
+EvtGen.o: ../EvtGen/EvtGen.hh ../EvtGenBase/EvtPDL.hh
+EvtGen.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtSpinType.hh
+EvtGen.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtId.hh
+EvtGen.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtGen.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TLorentzVector.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMath.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/Rtypes.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/RConfig.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/RVersion.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/DllImport.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/Rtypeinfo.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TGenericClassInfo.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TSchemaHelper.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMathBase.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TError.h
+EvtGen.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/float.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TVector3.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TVector2.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TObject.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TStorage.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TVersionCheck.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/Riosfwd.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TBuffer.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrix.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixF.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixT.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixTBase.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TNamed.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TString.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TRefCnt.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixFBasefwd.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixDBasefwd.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TVectorFfwd.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TVectorDfwd.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixTUtils.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixFfwd.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixFUtils.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TMatrixFUtilsfwd.h
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TRotation.h
+EvtGen.o: /usr/include/c++/3.4.6/list /usr/include/c++/3.4.6/bits/stl_list.h
+EvtGen.o: /usr/include/c++/3.4.6/bits/list.tcc ../EvtGenBase/EvtVector4R.hh
+EvtGen.o: ../EvtGenBase/EvtVectorParticle.hh ../EvtGenBase/EvtVector4C.hh
+EvtGen.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtVector3R.hh
+EvtGen.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtSpinDensity.hh
+EvtGen.o: ../EvtGenBase/EvtScalarParticle.hh ../EvtGenBase/EvtDecayTable.hh
+EvtGen.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtParticleDecayList.hh
+EvtGen.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtStdHep.hh
+EvtGen.o: ../EvtGenBase/EvtSecondary.hh ../EvtGenBase/EvtRandom.hh
+EvtGen.o: ../EvtGenBase/EvtRandomEngine.hh
+EvtGen.o: /home/fionda/cern/root/v5-23-04/include/TRandom.h
+EvtGen.o: ../EvtGenBase/EvtSimpleRandomEngine.hh
+EvtGen.o: ../EvtGenBase/EvtParticleFactory.hh ../EvtGenModels/EvtModelReg.hh
+EvtGen.o: ../EvtGenBase/EvtStatus.hh ../EvtGenBase/EvtAbsRadCorr.hh
+EvtGen.o: ../EvtGenBase/EvtRadCorr.hh ../EvtGenModels/EvtPHOTOS.hh
--- /dev/null
+EVTCXX=gcc
+EVTF77=g77
+EVTCXXFLAGS=-I. -DEVTSTANDALONE -I/home/fionda/cern/root/v5-23-04/include -I/home/fionda/cern/alice/v4-16-Rev-13_G3v1-10_Rv5-23-04/include -I../
+EVTDEPINC=-I. -DEVTSTANDALONE -I/home/fionda/cern/root/v5-23-04/include -I/home/fionda/cern/alice/v4-16-Rev-13_G3v1-10_Rv5-23-04/include -I../ -Iignoring -Inonexistent -Idirectory -I"/usr/lib/gcc/i386-redhat-linux/3.4.6/../../../../i386-redhat-linux/include" -I/usr/lib/gcc/i386-redhat-linux/3.4.6/../../../../include/c++/3.4.6 -I/usr/lib/gcc/i386-redhat-linux/3.4.6/../../../../include/c++/3.4.6/i386-redhat-linux -I/usr/lib/gcc/i386-redhat-linux/3.4.6/../../../../include/c++/3.4.6/backward -I/usr/local/include -I/usr/lib/gcc/i386-redhat-linux/3.4.6/include -I/usr/include
+EVTF77FLAGS= -I/home/fionda/cern/root/v5-23-04/include -I../ -I/cern/pro/lib
+EVTLINK=-L. -L/cern/pro/lib -L/cern/pro/lib -z muldefs
+EVTLINKOPT=
+EVTSYSLIB=-lg2c -lnsl
+EVTPYLIB=pythia6205
+EVTPHLIB=photos202
+EVTROOTLIBS=-L/home/fionda/cern/root/v5-23-04/lib -lCore -lCint -lRIO -lNet -lHist -lGraf -lGraf3d -lGpad -lTree -lRint -lPostscript -lMatrix -lPhysics -lMathCore -lThread -pthread -lm -ldl -rdynamic
--- /dev/null
+Define dm 0.51e12
+Define alpha 1.3416
+Define beta 0.4
+Define gamma 1.4
+Decay UPS4
+0.500 2 B+ B- VSS
+0.420 2 B0 B0B VSS_MIX
+Enddecay
+Decay B0B
+0.0490 3 D*+ E- NUEB HQET3S1 1.0 1.53 0.57
+0.0180 3 D+ E- NUEB ISGW2
+0.0020 3 1P1P E- NUEB ISGW2
+0.0020 3 3P0P E- NUEB ISGW2
+0.0070 3 3P1P E- NUEB ISGW2
+0.0070 3 3P2P E- NUEB ISGW2
+0.0010 4 D*+ PI0 E- NUEB GOITY_ROBERTS
+0.0020 4 D*0 PI+ E- NUEB GOITY_ROBERTS
+0.0030 4 D+ PI0 E- NUEB GOITY_ROBERTS
+0.0060 4 D0 PI+ E- NUEB GOITY_ROBERTS
+0.0490 3 D*+ MU- NUMB HQET3S1 1.0 1.53 0.57
+0.0180 3 D+ MU- NUMB ISGW2
+0.0020 3 1P1P MU- NUMB ISGW2
+0.0020 3 3P0P MU- NUMB ISGW2
+0.0070 3 3P1P MU- NUMB ISGW2
+0.0070 3 3P2P MU- NUMB ISGW2
+0.0010 4 D*+ PI0 MU- NUMB GOITY_ROBERTS
+0.0020 4 D*0 PI+ MU- NUMB GOITY_ROBERTS
+0.0030 4 D+ PI0 MU- NUMB GOITY_ROBERTS
+0.0060 4 D0 PI+ MU- NUMB GOITY_ROBERTS
+0.0160 3 D*+ TAU- NUTB ISGW2
+0.0090 3 D+ TAU- NUTB ISGW2
+0.0007 3 1P1P TAU- NUTB ISGW2
+0.0007 3 3P0P TAU- NUTB ISGW2
+0.0020 3 3P1P TAU- NUTB ISGW2
+0.0020 3 3P2P TAU- NUTB ISGW2
+0.000064 3 PI+ E- NUEB ISGW2
+0.000250 3 RHO+ E- NUEB ISGW2
+0.000274 3 A1+ E- NUEB ISGW2
+0.000170 3 B1+ E- NUEB ISGW2
+0.000024 3 A0+ E- NUEB ISGW2
+0.000024 3 A2+ E- NUEB ISGW2
+0.000000 3 D21S0P E- NUEB ISGW2
+0.000000 3 D23S1P E- NUEB ISGW2
+0.000064 3 PI+ MU- NUMB ISGW2
+0.000250 3 RHO+ MU- NUMB ISGW2
+0.000274 3 A1+ MU- NUMB ISGW2
+0.000170 3 B1+ MU- NUMB ISGW2
+0.000024 3 A0+ MU- NUMB ISGW2
+0.000024 3 A2+ MU- NUMB ISGW2
+0.000000 3 D21S0P MU- NUMB ISGW2
+0.000000 3 D23S1P MU- NUMB ISGW2
+0.000021 3 PI+ TAU- NUTB ISGW2
+0.000083 3 RHO+ TAU- NUTB ISGW2
+0.000090 3 A1+ TAU- NUTB ISGW2
+0.000008 3 B1+ TAU- NUTB ISGW2
+0.000008 3 A0+ TAU- NUTB ISGW2
+0.000008 3 A2+ TAU- NUTB ISGW2
+0.000000 3 D21S0P TAU- NUTB ISGW2
+0.000000 3 D23S1P TAU- NUTB ISGW2
+0.77375 0 JETSET
+Enddecay
+Decay B0
+0.0490 3 D*- E+ NUE HQET3S1 1.0 1.53 0.57
+0.0180 3 D- E+ NUE ISGW2
+0.0020 3 1P1N E+ NUE ISGW2
+0.0020 3 3P0N E+ NUE ISGW2
+0.0070 3 3P1N E+ NUE ISGW2
+0.0070 3 3P2N E+ NUE ISGW2
+0.0010 4 D*- PI0 E+ NUE GOITY_ROBERTS
+0.0020 4 D*B PI- E+ NUE GOITY_ROBERTS
+0.0030 4 D- PI0 E+ NUE GOITY_ROBERTS
+0.0060 4 D0B PI- E+ NUE GOITY_ROBERTS
+0.0490 3 D*- MU+ NUM HQET3S1 1.0 1.53 0.57
+0.0180 3 D- MU+ NUM ISGW2
+0.0020 3 1P1N MU+ NUM ISGW2
+0.0020 3 3P0N MU+ NUM ISGW2
+0.0070 3 3P1N MU+ NUM ISGW2
+0.0070 3 3P2N MU+ NUM ISGW2
+0.0010 4 D*- PI0 MU+ NUM GOITY_ROBERTS
+0.0020 4 D*B PI- MU+ NUM GOITY_ROBERTS
+0.0030 4 D- PI0 MU+ NUM GOITY_ROBERTS
+0.0060 4 D0B PI- MU+ NUM GOITY_ROBERTS
+0.0160 3 D*- TAU+ NUT ISGW2
+0.0090 3 D- TAU+ NUT ISGW2
+0.0007 3 1P1N TAU+ NUT ISGW2
+0.0007 3 3P0N TAU+ NUT ISGW2
+0.0020 3 3P1N TAU+ NUT ISGW2
+0.0020 3 3P2N TAU+ NUT ISGW2
+0.000064 3 PI- E+ NUE ISGW2
+0.000250 3 RHO- E+ NUE ISGW2
+0.000274 3 A1- E+ NUE ISGW2
+0.000170 3 B1- E+ NUE ISGW2
+0.000024 3 A0- E+ NUE ISGW2
+0.000024 3 A2- E+ NUE ISGW2
+0.000000 3 D21S0N E+ NUE ISGW2
+0.000000 3 D23S1N E+ NUE ISGW2
+0.000064 3 PI- MU+ NUM ISGW2
+0.000250 3 RHO- MU+ NUM ISGW2
+0.000274 3 A1- MU+ NUM ISGW2
+0.000170 3 B1- MU+ NUM ISGW2
+0.000024 3 A0- MU+ NUM ISGW2
+0.000024 3 A2- MU+ NUM ISGW2
+0.000000 3 D21S0N MU+ NUM ISGW2
+0.000000 3 D23S1N MU+ NUM ISGW2
+0.000021 3 PI- TAU+ NUT ISGW2
+0.000083 3 RHO- TAU+ NUT ISGW2
+0.000090 3 A1- TAU+ NUT ISGW2
+0.000008 3 B1- TAU+ NUT ISGW2
+0.000008 3 A0- TAU+ NUT ISGW2
+0.000008 3 A2- TAU+ NUT ISGW2
+0.000000 3 D21S0N TAU+ NUT ISGW2
+0.000000 3 D23S1N TAU+ NUT ISGW2
+0.77377 0 JETSET
+Enddecay
+Decay B-
+0.0490 3 D*0 E- NUEB HQET3S1 1.0 1.53 0.57
+0.0180 3 D0 E- NUEB ISGW2
+0.0020 3 1P10 E- NUEB ISGW2
+0.0020 3 3P00 E- NUEB ISGW2
+0.0070 3 3P10 E- NUEB ISGW2
+0.0070 3 3P20 E- NUEB ISGW2
+0.0020 4 D*+ PI- E- NUEB GOITY_ROBERTS
+0.0010 4 D*0 PI0 E- NUEB GOITY_ROBERTS
+0.0060 4 D+ PI- E- NUEB GOITY_ROBERTS
+0.0030 4 D0 PI0 E- NUEB GOITY_ROBERTS
+0.0490 3 D*0 MU- NUMB HQET3S1 1.0 1.53 0.57
+0.0180 3 D0 MU- NUMB ISGW2
+0.0020 3 1P10 MU- NUMB ISGW2
+0.0020 3 3P00 MU- NUMB ISGW2
+0.0070 3 3P10 MU- NUMB ISGW2
+0.0070 3 3P20 MU- NUMB ISGW2
+0.0020 4 D*+ PI- MU- NUMB GOITY_ROBERTS
+0.0010 4 D*0 PI0 MU- NUMB GOITY_ROBERTS
+0.0060 4 D+ PI- MU- NUMB GOITY_ROBERTS
+0.0030 4 D0 PI0 MU- NUMB GOITY_ROBERTS
+0.0160 3 D*0 TAU- NUTB ISGW2
+0.0090 3 D0 TAU- NUTB ISGW2
+0.0007 3 1P10 TAU- NUTB ISGW2
+0.0007 3 3P00 TAU- NUTB ISGW2
+0.0020 3 3P10 TAU- NUTB ISGW2
+0.0020 3 3P20 TAU- NUTB ISGW2
+0.000032 3 PI0 E- NUEB ISGW2
+0.000012 3 ETA E- NUEB ISGW2
+0.000125 3 RHO0 E- NUEB ISGW2
+0.000125 3 OMEG E- NUEB ISGW2
+0.000020 3 ETA' E- NUEB ISGW2
+0.000137 3 A10 E- NUEB ISGW2
+0.000060 3 A20 E- NUEB ISGW2
+0.000080 3 B10 E- NUEB ISGW2
+0.000012 3 A00 E- NUEB ISGW2
+0.000006 3 F0 E- NUEB ISGW2
+0.000006 3 F0' E- NUEB ISGW2
+0.000068 3 F1 E- NUEB ISGW2
+0.000068 3 F1' E- NUEB ISGW2
+0.000040 3 H1 E- NUEB ISGW2
+0.000040 3 H1' E- NUEB ISGW2
+0.000060 3 F2 E- NUEB ISGW2
+0.000060 3 F2' E- NUEB ISGW2
+0.000000 3 D21S00 E- NUEB ISGW2
+0.000000 3 D23S10 E- NUEB ISGW2
+0.000032 3 PI0 MU- NUMB ISGW2
+0.000012 3 ETA MU- NUMB ISGW2
+0.000125 3 RHO0 MU- NUMB ISGW2
+0.000125 3 OMEG MU- NUMB ISGW2
+0.000020 3 ETA' MU- NUMB ISGW2
+0.000137 3 A10 MU- NUMB ISGW2
+0.000060 3 A20 MU- NUMB ISGW2
+0.000080 3 B10 MU- NUMB ISGW2
+0.000012 3 A00 MU- NUMB ISGW2
+0.000006 3 F0 MU- NUMB ISGW2
+0.000006 3 F0' MU- NUMB ISGW2
+0.000068 3 F1 MU- NUMB ISGW2
+0.000068 3 F1' MU- NUMB ISGW2
+0.000040 3 H1 MU- NUMB ISGW2
+0.000040 3 H1' MU- NUMB ISGW2
+0.000060 3 F2 MU- NUMB ISGW2
+0.000060 3 F2' MU- NUMB ISGW2
+0.000000 3 D21S00 MU- NUMB ISGW2
+0.000000 3 D23S10 MU- NUMB ISGW2
+0.000010 3 PI0 TAU- NUTB ISGW2
+0.000004 3 ETA TAU- NUTB ISGW2
+0.000042 3 RHO0 TAU- NUTB ISGW2
+0.000060 3 A20 TAU- NUTB ISGW2
+0.000042 3 OMEG TAU- NUTB ISGW2
+0.000007 3 ETA' TAU- NUTB ISGW2
+0.000046 3 A10 TAU- NUTB ISGW2
+0.000027 3 B10 TAU- NUTB ISGW2
+0.000004 3 A00 TAU- NUTB ISGW2
+0.000002 3 F0 TAU- NUTB ISGW2
+0.000002 3 F0' TAU- NUTB ISGW2
+0.000023 3 F1 TAU- NUTB ISGW2
+0.000023 3 F1' TAU- NUTB ISGW2
+0.000013 3 H1 TAU- NUTB ISGW2
+0.000013 3 H1' TAU- NUTB ISGW2
+0.000020 3 F2 TAU- NUTB ISGW2
+0.000020 3 F2' TAU- NUTB ISGW2
+0.000000 3 D21S00 TAU- NUTB ISGW2
+0.000000 3 D23S10 TAU- NUTB ISGW2
+0.000020 2 TAU- NUTB SLN
+0.000020 2 E- NUEB SLN
+0.000020 2 MU- NUMB SLN
+0.77352 0 JETSET
+Enddecay
+Decay B+
+0.0490 3 D*B E+ NUE HQET3S1 1.0 1.53 0.57
+0.0180 3 D0B E+ NUE ISGW2
+0.0020 3 1P1B E+ NUE ISGW2
+0.0020 3 3P0B E+ NUE ISGW2
+0.0070 3 3P1B E+ NUE ISGW2
+0.0070 3 3P2B E+ NUE ISGW2
+0.0020 4 D*- PI+ E+ NUE GOITY_ROBERTS
+0.0010 4 D*B PI0 E+ NUE GOITY_ROBERTS
+0.0060 4 D- PI+ E+ NUE GOITY_ROBERTS
+0.0030 4 D0B PI0 E+ NUE GOITY_ROBERTS
+0.0490 3 D*B MU+ NUM HQET3S1 1.0 1.53 0.57
+0.0180 3 D0B MU+ NUM ISGW2
+0.0020 3 1P1B MU+ NUM ISGW2
+0.0020 3 3P0B MU+ NUM ISGW2
+0.0070 3 3P1B MU+ NUM ISGW2
+0.0070 3 3P2B MU+ NUM ISGW2
+0.0020 4 D*- PI+ MU+ NUM GOITY_ROBERTS
+0.0010 4 D*B PI0 MU+ NUM GOITY_ROBERTS
+0.0060 4 D- PI+ MU+ NUM GOITY_ROBERTS
+0.0030 4 D0B PI0 MU+ NUM GOITY_ROBERTS
+0.0160 3 D*B TAU+ NUT ISGW2
+0.0090 3 D0B TAU+ NUT ISGW2
+0.0007 3 1P1B TAU+ NUT ISGW2
+0.0007 3 3P0B TAU+ NUT ISGW2
+0.0020 3 3P1B TAU+ NUT ISGW2
+0.0020 3 3P2B TAU+ NUT ISGW2
+0.000032 3 PI0 E+ NUE ISGW2
+0.000012 3 ETA E+ NUE ISGW2
+0.000125 3 RHO0 E+ NUE ISGW2
+0.000125 3 OMEG E+ NUE ISGW2
+0.000020 3 ETA' E+ NUE ISGW2
+0.000137 3 A10 E+ NUE ISGW2
+0.000060 3 A20 E+ NUE ISGW2
+0.000080 3 B10 E+ NUE ISGW2
+0.000012 3 A00 E+ NUE ISGW2
+0.000006 3 F0 E+ NUE ISGW2
+0.000006 3 F0' E+ NUE ISGW2
+0.000068 3 F1 E+ NUE ISGW2
+0.000068 3 F1' E+ NUE ISGW2
+0.000040 3 H1 E+ NUE ISGW2
+0.000040 3 H1' E+ NUE ISGW2
+0.000060 3 F2 E+ NUE ISGW2
+0.000060 3 F2' E+ NUE ISGW2
+0.000000 3 D21S0B E+ NUE ISGW2
+0.000000 3 D23S1B E+ NUE ISGW2
+0.000032 3 PI0 MU+ NUM ISGW2
+0.000012 3 ETA MU+ NUM ISGW2
+0.000125 3 RHO0 MU+ NUM ISGW2
+0.000125 3 OMEG MU+ NUM ISGW2
+0.000020 3 ETA' MU+ NUM ISGW2
+0.000137 3 A10 MU+ NUM ISGW2
+0.000080 3 B10 MU+ NUM ISGW2
+0.000012 3 A00 MU+ NUM ISGW2
+0.000006 3 A20 MU+ NUM ISGW2
+0.000006 3 F0 MU+ NUM ISGW2
+0.000006 3 F0' MU+ NUM ISGW2
+0.000068 3 F1 MU+ NUM ISGW2
+0.000068 3 F1' MU+ NUM ISGW2
+0.000040 3 H1 MU+ NUM ISGW2
+0.000040 3 H1' MU+ NUM ISGW2
+0.000060 3 F2 MU+ NUM ISGW2
+0.000060 3 F2' MU+ NUM ISGW2
+0.000000 3 D21S0B MU+ NUM ISGW2
+0.000000 3 D23S1B MU+ NUM ISGW2
+0.000010 3 PI0 TAU+ NUT ISGW2
+0.000004 3 ETA TAU+ NUT ISGW2
+0.000042 3 RHO0 TAU+ NUT ISGW2
+0.000042 3 OMEG TAU+ NUT ISGW2
+0.000007 3 ETA' TAU+ NUT ISGW2
+0.000046 3 A10 TAU+ NUT ISGW2
+0.000027 3 B10 TAU+ NUT ISGW2
+0.000006 3 A20 TAU+ NUT ISGW2
+0.000004 3 A00 TAU+ NUT ISGW2
+0.000002 3 F0 TAU+ NUT ISGW2
+0.000002 3 F0' TAU+ NUT ISGW2
+0.000023 3 F1 TAU+ NUT ISGW2
+0.000023 3 F1' TAU+ NUT ISGW2
+0.000013 3 H1 TAU+ NUT ISGW2
+0.000013 3 H1' TAU+ NUT ISGW2
+0.000020 3 F2 TAU+ NUT ISGW2
+0.000020 3 F2' TAU+ NUT ISGW2
+0.000000 3 D21S0B TAU+ NUT ISGW2
+0.000000 3 D23S1B TAU+ NUT ISGW2
+0.000020 2 TAU+ NUT SLN
+0.000020 2 E+ NUE SLN
+0.000020 2 MU+ NUM SLN
+0.77352 0 JETSET
+Enddecay
+Decay TAU-
+1.000 0 JETSET
+Enddecay
+Decay TAU+
+1.000 0 JETSET
+Enddecay
+Decay DS+
+0.0200 3 PHI E+ NUE ISGW2
+0.0388 3 ETA E+ NUE ISGW2
+0.0168 3 ETA' E+ NUE ISGW2
+0.0027 3 KB E+ NUE ISGW2
+0.0010 3 K*B E+ NUE ISGW2
+0.0200 3 PHI MU+ NUM ISGW2
+0.0388 3 ETA MU+ NUM ISGW2
+0.0168 3 ETA' MU+ NUM ISGW2
+0.0027 3 KB MU+ NUM ISGW2
+0.0010 3 K*B MU+ NUM ISGW2
+0.0091 2 NUM MU+ PHSP
+0.0910 2 NUT TAU+ PHSP
+0.0370 2 PHI PI+ SVS
+0.0200 2 ETA PI+ PHSP2
+0.0518 2 ETA' PI+ PHSP2
+0.0010 2 OMEG PI+ SVS
+0.0010 2 RHO0 PI+ SVS
+0.0020 2 RHO+ PI0 SVS
+0.0010 2 PI+ PI0 PHSP2
+0.0104 2 F0 PI+ PHSP2
+0.0688 2 PHI RHO+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.1058 2 RHO+ ETA SVS
+0.1273 2 RHO+ ETA SVS
+0.0109 3 PI+ PI- PI+ PHSP
+0.0050 3 PI+ PI0 PI0 PHSP
+0.0200 3 PHI PI+ PI0 PHSP
+0.0100 3 ETA PI+ PI0 PHSP
+0.0100 3 ETA' PI+ PI0 PHSP
+0.0155 4 PHI PI+ PI- PI+ PHSP
+0.0050 4 PHI PI+ PI0 PI0 PHSP
+0.0050 4 ETA PI+ PI- PI+ PHSP
+0.0050 4 ETA PI+ PI0 PI0 PHSP
+0.0374 2 KB K+ PHSP2
+0.0352 2 K*B K+ SVS
+0.0444 2 K*+ KB SVS
+0.0592 2 K*B K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0093 3 K+ K- PI+ PHSP
+0.0050 3 KB K+ PI0 PHSP
+0.0020 4 KB K+ PI+ PI- PHSP
+0.0020 4 KB K+ PI0 PI0 PHSP
+0.0030 2 PHI K+ SVS
+0.0015 2 ETA K+ PHSP2
+0.0035 2 ETA' K+ PHSP2
+0.0030 3 ETA K+ PI0 PHSP
+0.0020 4 ETA K+ PI+ PI- PHSP
+0.0020 3 ETA' K+ PI0 PHSP
+0.0010 4 ETA' K+ PI+ PI- PHSP
+0.0030 3 K+ K- K+ PHSP
+0.0025 2 K0 PI+ PHSP2
+0.0025 2 RHO+ K0 SVS
+0.0010 3 K0 PI+ PI0 PHSP
+0.0020 2 A1+ K0 SVS
+0.0025 2 K*0 PI+ SVS
+0.0025 2 K*0 RHO+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0023 3 K*0 PI+ PI0 PHSP
+Enddecay
+Decay DS-
+0.0200 3 PHI E- NUEB ISGW2
+0.0388 3 ETA E- NUEB ISGW2
+0.0168 3 ETA' E- NUEB ISGW2
+0.0027 3 K0 E- NUEB ISGW2
+0.0010 3 K*0 E- NUEB ISGW2
+0.0200 3 PHI MU- NUMB ISGW2
+0.0388 3 ETA MU- NUMB ISGW2
+0.0168 3 ETA' MU- NUMB ISGW2
+0.0027 3 K0 MU- NUMB ISGW2
+0.0010 3 K*0 MU- NUMB ISGW2
+0.0091 2 NUMB MU- PHSP
+0.0910 2 NUTB TAU- PHSP
+0.0370 2 PHI PI- SVS
+0.0200 2 ETA PI- PHSP2
+0.0518 2 ETA' PI- PHSP2
+0.0010 2 OMEG PI- SVS
+0.0010 2 RHO0 PI- SVS
+0.0020 2 RHO- PI0 SVS
+0.0010 2 PI- PI0 PHSP2
+0.0104 2 F0 PI- PHSP2
+0.0688 2 PHI RHO- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.1058 2 RHO- ETA SVS
+0.1273 2 RHO- ETA SVS
+0.0109 3 PI- PI- PI+ PHSP
+0.0050 3 PI- PI0 PI0 PHSP
+0.0200 3 PHI PI- PI0 PHSP
+0.0100 3 ETA PI- PI0 PHSP
+0.0100 3 ETA' PI- PI0 PHSP
+0.0155 4 PHI PI- PI- PI+ PHSP
+0.0050 4 PHI PI- PI0 PI0 PHSP
+0.0050 4 ETA PI- PI- PI+ PHSP
+0.0050 4 ETA PI- PI0 PI0 PHSP
+0.0374 2 K0 K- PHSP2
+0.0352 2 K*0 K- SVS
+0.0444 2 K*- K0 SVS
+0.0592 2 K*0 K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0093 3 K+ K- PI- PHSP
+0.0050 3 K0 K- PI0 PHSP
+0.0020 4 K0 K- PI+ PI- PHSP
+0.0020 4 K0 K- PI0 PI0 PHSP
+0.0030 2 PHI K- SVS
+0.0015 2 ETA K- PHSP2
+0.0035 2 ETA' K- PHSP2
+0.0030 3 ETA K- PI0 PHSP
+0.0020 4 ETA K- PI+ PI- PHSP
+0.0020 3 ETA' K- PI0 PHSP
+0.0010 4 ETA' K- PI+ PI- PHSP
+0.0030 3 K- K- K+ PHSP
+0.0025 2 KB PI- PHSP2
+0.0025 2 RHO- KB SVS
+0.0010 3 KB PI- PI0 PHSP
+0.0020 2 A1- KB SVS
+0.0025 2 K*B PI- SVS
+0.0025 2 K*B RHO- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0023 3 K*B PI- PI0 PHSP
+Enddecay
+Decay PI0
+0.9880 2 GAMM GAMM PHSP
+0.0120 3 GAMM E+ E- PHSP
+Enddecay
+Decay ETA
+0.3880 2 GAMM GAMM PHSP
+0.3190 3 PI0 PI0 PI0 PHSP
+0.2360 3 PI- PI+ PI0 PHSP
+0.0488 3 GAMM PI- PI+ PHSP
+0.0050 3 GAMM E+ E- PHSP
+0.0003 3 GAMM MU+ MU- PHSP
+0.0007 3 GAMM GAMM PI0 PHSP
+0.0012 4 PI+ PI- E+ E- PHSP
+0.0010 4 GAMM GAMM E+ E- PHSP
+Enddecay
+Decay K0S
+0.6861 2 PI+ PI- PHSP
+0.3139 2 PI0 PI0 PHSP
+Enddecay
+Decay K0
+0.500 1 K0L PHSP
+0.500 1 K0S PHSP
+Enddecay
+Decay KB
+0.500 1 K0L PHSP
+0.500 1 K0S PHSP
+Enddecay
+Decay K1*0
+1.000 0 JETSET
+Enddecay
+Decay K1*B
+1.000 0 JETSET
+Enddecay
+Decay K10
+0.2800 2 RHO- K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1400 2 RHO0 K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1067 2 K*+ PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0533 2 K*0 PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1100 2 OMEG K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1444 3 K0 PI+ PI- PHSP
+0.1244 3 K+ PI- PI0 PHSP
+0.0412 3 K0 PI0 PI0 PHSP
+Enddecay
+Decay K1B
+0.2800 2 RHO+ K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1400 2 RHO0 KB VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1067 2 K*- PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0533 2 K*B PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1100 2 OMEG KB VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1444 3 KB PI+ PI- PHSP
+0.1244 3 K- PI+ PI0 PHSP
+0.0412 3 KB PI0 PI0 PHSP
+Enddecay
+Decay K1+
+0.2800 2 RHO+ K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1400 2 RHO0 K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1067 2 K*0 PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0533 2 K*+ PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1100 2 OMEG K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1444 3 K+ PI+ PI- PHSP
+0.1244 3 K0 PI+ PI0 PHSP
+0.0412 3 K+ PI0 PI0 PHSP
+Enddecay
+Decay K1-
+0.2800 2 RHO- KB VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1400 2 RHO0 K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1067 2 K*B PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0533 2 K*- PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1100 2 OMEG K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1444 3 K- PI+ PI- PHSP
+0.1244 3 KB PI- PI0 PHSP
+0.0412 3 K- PI0 PI0 PHSP
+Enddecay
+Decay K*0
+0.6657 2 K+ PI- VSS
+0.3323 2 K0 PI0 VSS
+0.0020 2 K0 GAMM VSP_PWAVE
+Enddecay
+Decay K*B
+0.6657 2 K- PI+ VSS
+0.3323 2 KB PI0 VSS
+0.0020 2 KB GAMM VSP_PWAVE
+Enddecay
+Decay K*+
+0.6660 2 K0 PI+ VSS
+0.3330 2 K+ PI0 VSS
+0.0010 2 K+ GAMM VSP_PWAVE
+Enddecay
+Decay K*-
+0.6660 2 KB PI- VSS
+0.3330 2 K- PI0 VSS
+0.0010 2 K- GAMM VSP_PWAVE
+Enddecay
+Decay ETA'
+0.4370 3 PI+ PI- ETA PHSP
+0.2080 3 PI0 PI0 ETA PHSP
+0.3020 2 GAMM RHO0 PHSP
+0.0302 2 GAMM OMEG PHSP
+0.0212 2 GAMM GAMM PHSP
+0.0015 3 PI0 PI0 PI0 PHSP
+0.0001 3 GAMM MU- MU+ PHSP
+Enddecay
+Decay DEL+
+1.000 0 JETSET
+Enddecay
+Decay ADEL+
+1.000 0 JETSET
+Enddecay
+Decay DEL++
+1.000 0 JETSET
+Enddecay
+Decay ADL++
+1.000 0 JETSET
+Enddecay
+Decay CUD3
+1.000 0 JETSET
+Enddecay
+Decay ACUD3
+1.000 0 JETSET
+Enddecay
+Decay CSD0
+1.000 0 JETSET
+Enddecay
+Decay ACSD0
+1.000 0 JETSET
+Enddecay
+Decay CSD3
+1.000 0 JETSET
+Enddecay
+Decay ACSD3
+1.000 0 JETSET
+Enddecay
+Decay XI*0
+1.000 0 JETSET
+Enddecay
+Decay AXI*0
+1.000 0 JETSET
+Enddecay
+Decay SIGC0
+1.000 0 JETSET
+Enddecay
+Decay ASIC0
+1.000 0 JETSET
+Enddecay
+Decay LAMC
+1.000 0 JETSET
+Enddecay
+Decay ALAMC
+1.000 0 JETSET
+Enddecay
+Decay K2*+
+0.3310 2 K0 PI+ TSS
+0.1660 2 K+ PI0 TSS
+0.1680 2 K*0 PI+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0840 2 K*+ PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0540 3 K*0 PI+ PI0 PHSP
+0.0540 3 K*+ PI+ PI- PHSP
+0.0540 3 K*+ PI0 PI0 PHSP
+0.0590 2 RHO+ K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0300 2 RHO0 K+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+Enddecay
+Decay K2*-
+0.3310 2 KB PI- TSS
+0.1660 2 K- PI0 TSS
+0.1680 2 K*B PI- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0840 2 K*- PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0540 3 K*B PI- PI0 PHSP
+0.0540 3 K*- PI+ PI- PHSP
+0.0540 3 K*- PI0 PI0 PHSP
+0.0590 2 RHO- K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0300 2 RHO0 K- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+Enddecay
+Decay K2*0
+0.3310 2 K+ PI- TSS
+0.1660 2 K0 PI0 TSS
+0.1680 2 K*+ PI- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0840 2 K*0 PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0540 3 K*0 PI+ PI- PHSP
+0.0540 3 K*0 PI0 PI0 PHSP
+0.0540 3 K*+ PI- PI0 PHSP
+0.0590 2 RHO- K+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0300 2 RHO0 K0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+Enddecay
+Decay K2*B
+0.3310 2 K- PI+ TSS
+0.1660 2 KB PI0 TSS
+0.1680 2 K*- PI+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0840 2 K*B PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0540 3 K*B PI+ PI- PHSP
+0.0540 3 K*B PI0 PI0 PHSP
+0.0540 3 K*- PI+ PI0 PHSP
+0.0590 2 RHO+ K- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.0300 2 RHO0 KB TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+Enddecay
+Decay DS*+
+1.000 0 JETSET
+Enddecay
+Decay DS*-
+1.000 0 JETSET
+Enddecay
+Decay 3P1SP
+1.000 0 JETSET
+Enddecay
+Decay 3P1SN
+1.000 0 JETSET
+Enddecay
+Decay SIG+
+1.000 0 JETSET
+Enddecay
+Decay ASIG+
+1.000 0 JETSET
+Enddecay
+Decay SIGC+
+1.000 0 JETSET
+Enddecay
+Decay ASIC+
+1.000 0 JETSET
+Enddecay
+Decay LAM
+1.000 0 JETSET
+Enddecay
+Decay ALAM
+1.000 0 JETSET
+Enddecay
+Decay 3P00
+0.3333 2 D0 PI0 PHSP2
+0.6667 2 D+ PI- PHSP2
+Enddecay
+Decay 3P0B
+0.3333 2 D0B PI0 PHSP2
+0.6667 2 D- PI+ PHSP2
+Enddecay
+Decay 3P0P
+0.3333 2 D+ PI0 PHSP2
+0.6667 2 D0 PI+ PHSP2
+Enddecay
+Decay 3P0N
+0.3333 2 D- PI0 PHSP2
+0.6667 2 D0B PI- PHSP2
+Enddecay
+Decay ETAC
+1.000 0 JETSET
+Enddecay
+Decay PSI
+0.0599 2 E+ E- VLL
+0.0597 2 MU+ MU- VLL
+0.8804 0 JETSET
+Enddecay
+Decay PHI
+0.4910 2 K+ K- VSS
+0.3430 2 K0L K0S VSS
+0.0430 2 RHO+ PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0430 2 RHO0 PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0430 2 RHO- PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0240 3 PI+ PI- PI0 PHSP
+0.0120 2 ETA GAMM VSP_PWAVE
+0.0010 2 PI0 GAMM VSP_PWAVE
+Enddecay
+Decay CHI2
+1.000 0 JETSET
+Enddecay
+Decay DEL0
+1.000 0 JETSET
+Enddecay
+Decay ADEL0
+1.000 0 JETSET
+Enddecay
+Decay DEL-
+1.000 0 JETSET
+Enddecay
+Decay ADEL-
+1.000 0 JETSET
+Enddecay
+Decay SIG-
+1.000 0 JETSET
+Enddecay
+Decay ASIG-
+1.000 0 JETSET
+Enddecay
+Decay CDD3
+1.000 0 JETSET
+Enddecay
+Decay ACDD3
+1.000 0 JETSET
+Enddecay
+Decay SIG0
+1.000 0 JETSET
+Enddecay
+Decay ASIG0
+1.000 0 JETSET
+Enddecay
+Decay CSU0
+1.000 0 JETSET
+Enddecay
+Decay ACSU0
+1.000 0 JETSET
+Enddecay
+Decay CUU3
+1.000 0 JETSET
+Enddecay
+Decay ACUU3
+1.000 0 JETSET
+Enddecay
+Decay F0
+0.5200 2 PI+ PI- PHSP2
+0.2600 2 PI0 PI0 PHSP2
+0.1100 2 K+ K- PHSP2
+0.0550 2 K0S K0S PHSP2
+0.0550 2 K0L K0L PHSP2
+Enddecay
+Decay F0'
+0.6200 2 PI+ PI- PHSP2
+0.3100 2 PI0 PI0 PHSP2
+0.0350 2 K+ K- PHSP2
+0.0175 2 K0S K0S PHSP2
+0.0175 2 K0L K0L PHSP2
+Enddecay
+Decay CHI1
+1.000 0 JETSET
+Enddecay
+Decay SIG*-
+1.000 0 JETSET
+Enddecay
+Decay ASI*-
+1.000 0 JETSET
+Enddecay
+Decay SIC++
+1.000 0 JETSET
+Enddecay
+Decay ASC++
+1.000 0 JETSET
+Enddecay
+Decay SIG*+
+1.000 0 JETSET
+Enddecay
+Decay ASI*+
+1.000 0 JETSET
+Enddecay
+Decay SIG*0
+1.000 0 JETSET
+Enddecay
+Decay ASI*0
+1.000 0 JETSET
+Enddecay
+Decay XI0
+1.000 0 JETSET
+Enddecay
+Decay AXI0
+1.000 0 JETSET
+Enddecay
+Decay XI-
+1.000 0 JETSET
+Enddecay
+Decay AXI-
+1.000 0 JETSET
+Enddecay
+Decay A00
+0.9000 2 ETA PI0 PHSP2
+0.0500 2 K+ K- PHSP2
+0.0250 2 K0S K0S PHSP2
+0.0250 2 K0L K0L PHSP2
+Enddecay
+Decay A0+
+0.9000 2 ETA PI+ PHSP2
+0.1000 2 KB K+ PHSP2
+Enddecay
+Decay A0-
+0.9000 2 ETA PI- PHSP2
+0.1000 2 K0 K- PHSP2
+Enddecay
+Decay D*+
+0.6790 2 D0 PI+ VSS
+0.3100 2 D+ PI0 VSS
+0.0110 2 D+ GAMM VSP_PWAVE
+Enddecay
+Decay D*-
+0.6790 2 D0B PI- VSS
+0.3100 2 D- PI0 VSS
+0.0110 2 D- GAMM VSP_PWAVE
+Enddecay
+Decay D*0
+0.6350 2 D0 PI0 VSS
+0.3650 2 D0 GAMM VSS
+Enddecay
+Decay D*B
+0.6350 2 D0B PI0 VSS
+0.3650 2 D0B GAMM VSS
+Enddecay
+Decay D+
+0.0504 3 K*B E+ NUE ISGW2
+0.0929 3 KB E+ NUE ISGW2
+0.0036 3 K1B E+ NUE ISGW2
+0.0038 3 K2*B E+ NUE ISGW2
+0.0064 3 PI0 E+ NUE ISGW2
+0.0028 3 ETA E+ NUE ISGW2
+0.0011 3 ETA' E+ NUE ISGW2
+0.0030 3 RHO0 E+ NUE ISGW2
+0.0029 3 OMEG E+ NUE ISGW2
+0.0504 3 K*B MU+ NUM ISGW2
+0.0929 3 KB MU+ NUM ISGW2
+0.0036 3 K1B MU+ NUM ISGW2
+0.0038 3 K2*B MU+ NUM ISGW2
+0.0064 3 PI0 MU+ NUM ISGW2
+0.0028 3 ETA MU+ NUM ISGW2
+0.0011 3 ETA' MU+ NUM ISGW2
+0.0030 3 RHO0 MU+ NUM ISGW2
+0.0029 3 OMEG MU+ NUM ISGW2
+0.0009 2 MU+ NUM PHSP
+0.0024 2 TAU+ NUT PHSP
+0.0292 2 KB PI+ PHSP2
+0.0722 2 RHO+ KB SVS
+0.0807 2 A1+ KB SVS
+0.0213 2 K*B PI+ SVS
+0.0508 2 K1*B PI+ SVS
+0.0345 2 K2*B PI+ PHSP
+0.0503 2 K*B RHO+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0548 3 K- PI+ PI+ PHSP
+0.0155 3 KB PI0 PI+ PHSP
+0.0100 3 KB ETA PI+ PHSP
+0.0050 3 KB RHO0 PI+ PHSP
+0.0050 3 KB OMEG PI+ PHSP
+0.0096 3 K- RHO+ PI+ PHSP
+0.0200 3 K*- PI+ PI+ PHSP
+0.0100 3 K*B PI0 PI+ PHSP
+0.0100 3 K*B ETA PI+ PHSP
+0.0078 3 K*B RHO0 PI+ PHSP
+0.0050 3 K*B OMEG PI+ PHSP
+0.0100 3 K*- RHO+ PI+ PHSP
+0.0060 4 K- PI+ PI+ PI0 PHSP
+0.0100 4 KB PI+ PI+ PI- PHSP
+0.0200 4 KB PI+ PI0 PI0 PHSP
+0.0035 5 K- PI+ PI+ PI+ PI- PHSP
+0.0035 5 K- PI+ PI+ PI0 PI0 PHSP
+0.0035 5 KB PI+ PI+ PI- PI0 PHSP
+0.0035 5 KB PI+ PI0 PI0 PI0 PHSP
+0.0200 3 KB KB K+ PHSP
+0.0070 2 PHI PI+ SVS
+0.0100 3 PHI PI+ PI0 PHSP
+0.0082 2 KB K+ PHSP2
+0.0052 2 K*B K+ SVS
+0.0052 2 K*+ KB SVS
+0.0140 2 K*B K*+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0040 3 K+ K- PI+ PHSP
+0.0010 3 K+ KB PI0 PHSP
+0.0010 3 KB K0 PI+ PHSP
+0.0010 3 K*+ K- PI+ PHSP
+0.0010 3 K+ K*- PI+ PHSP
+0.0010 3 K*+ KB PI0 PHSP
+0.0010 3 K+ K*B PI0 PHSP
+0.0010 3 K*B K0 PI+ PHSP
+0.0010 3 KB K*0 PI+ PHSP
+0.0026 2 PI0 PI+ PHSP2
+0.0002 2 RHO0 PI+ SVS
+0.0032 3 PI+ PI+ PI- PHSP
+0.0030 3 PI+ PI0 PI0 PHSP
+0.0030 4 PI+ PI+ PI- PI0 PHSP
+0.0020 4 PI+ PI0 PI0 PI0 PHSP
+0.0076 2 ETA PI+ PHSP2
+0.0030 3 ETA PI+ PI0 PHSP
+0.0030 4 ETA PI+ PI+ PI- PHSP
+0.0020 4 ETA PI+ PI0 PI0 PHSP
+Enddecay
+Decay D-
+0.0504 3 K*0 E- NUEB ISGW2
+0.0929 3 K0 E- NUEB ISGW2
+0.0036 3 K10 E- NUEB ISGW2
+0.0038 3 K2*0 E- NUEB ISGW2
+0.0064 3 PI0 E- NUEB ISGW2
+0.0028 3 ETA E- NUEB ISGW2
+0.0011 3 ETA' E- NUEB ISGW2
+0.0030 3 RHO0 E- NUEB ISGW2
+0.0029 3 OMEG E- NUEB ISGW2
+0.0504 3 K*0 MU- NUMB ISGW2
+0.0929 3 K0 MU- NUMB ISGW2
+0.0036 3 K10 MU- NUMB ISGW2
+0.0038 3 K2*0 MU- NUMB ISGW2
+0.0064 3 PI0 MU- NUMB ISGW2
+0.0028 3 ETA MU- NUMB ISGW2
+0.0011 3 ETA' MU- NUMB ISGW2
+0.0030 3 RHO0 MU- NUMB ISGW2
+0.0029 3 OMEG MU- NUMB ISGW2
+0.0009 2 MU- NUMB PHSP
+0.0024 2 TAU- NUTB PHSP
+0.0292 2 K0 PI- PHSP2
+0.0722 2 RHO- K0 SVS
+0.0807 2 A1- K0 SVS
+0.0213 2 K*0 PI- SVS
+0.0508 2 K1*0 PI- SVS
+0.0345 2 K2*0 PI- PHSP
+0.0503 2 K*0 RHO- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0548 3 K+ PI- PI- PHSP
+0.0155 3 K0 PI0 PI- PHSP
+0.0100 3 K0 ETA PI- PHSP
+0.0050 3 K0 RHO0 PI- PHSP
+0.0050 3 K0 OMEG PI- PHSP
+0.0096 3 K+ RHO- PI- PHSP
+0.0200 3 K*+ PI- PI- PHSP
+0.0100 3 K*0 PI0 PI- PHSP
+0.0100 3 K*0 ETA PI- PHSP
+0.0078 3 K*0 RHO0 PI- PHSP
+0.0050 3 K*0 OMEG PI- PHSP
+0.0100 3 K*+ RHO- PI- PHSP
+0.0060 4 K+ PI- PI- PI0 PHSP
+0.0100 4 K0 PI- PI- PI+ PHSP
+0.0200 4 K0 PI- PI0 PI0 PHSP
+0.0035 5 K+ PI- PI- PI- PI+ PHSP
+0.0035 5 K+ PI- PI- PI0 PI0 PHSP
+0.0035 5 K0 PI- PI- PI+ PI0 PHSP
+0.0035 5 K0 PI- PI0 PI0 PI0 PHSP
+0.0200 3 K0 K0 K- PHSP
+0.0070 2 PHI PI- SVS
+0.0100 3 PHI PI- PI0 PHSP
+0.0082 2 K0 K- PHSP2
+0.0052 2 K*0 K- SVS
+0.0052 2 K*- K0 SVS
+0.0140 2 K*0 K*- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0040 3 K- K+ PI- PHSP
+0.0010 3 K- K0 PI0 PHSP
+0.0010 3 KB K0 PI- PHSP
+0.0010 3 K*- K+ PI- PHSP
+0.0010 3 K- K*+ PI- PHSP
+0.0010 3 K*- K0 PI0 PHSP
+0.0010 3 K- K*0 PI0 PHSP
+0.0010 3 K*0 KB PI- PHSP
+0.0010 3 K0 K*B PI- PHSP
+0.0026 2 PI0 PI- PHSP2
+0.0002 2 RHO0 PI- SVS
+0.0032 3 PI- PI+ PI- PHSP
+0.0030 3 PI- PI0 PI0 PHSP
+0.0030 4 PI- PI+ PI- PI0 PHSP
+0.0020 4 PI- PI0 PI0 PI0 PHSP
+0.0076 2 ETA PI- PHSP2
+0.0030 3 ETA PI- PI0 PHSP
+0.0030 4 ETA PI- PI+ PI- PHSP
+0.0020 4 ETA PI- PI0 PI0 PHSP
+Enddecay
+Alias K*-R K*-
+Alias K*BR K*B
+Decay K*-R
+1.0000 2 KB PI- VSS
+Enddecay
+Decay K*BR
+1.0000 2 KB PI0 VSS
+Enddecay
+Decay D0
+0.0198 3 K*- E+ NUE ISGW2
+0.0364 3 K- E+ NUE ISGW2
+0.0014 3 K1- E+ NUE ISGW2
+0.0015 3 K2*- E+ NUE ISGW2
+0.0050 3 PI- E+ NUE ISGW2
+0.0029 3 RHO- E+ NUE ISGW2
+0.0198 3 K*- MU+ NUM ISGW2
+0.0364 3 K- MU+ NUM ISGW2
+0.0014 3 K1- MU+ NUM ISGW2
+0.0015 3 K2*- MU+ NUM ISGW2
+0.0050 3 PI- MU+ NUM ISGW2
+0.0029 3 RHO- MU+ NUM ISGW2
+0.0391 2 K- PI+ PHSP2
+0.0220 2 KB PI0 PHSP2
+0.0077 2 KB ETA PHSP2
+0.0174 2 KB ETA' PHSP2
+0.0207 2 OMEG KB SVS
+0.0159 2 K*B ETA SVS
+0.0020 2 K*B ETA' SVS
+0.0798 2 A1+ K- SVS
+0.0600 2 K*- RHO+ SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0161 2 K*B RHO0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0111 2 K*B OMEG SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.1307 3 K- PI+ PI0 D0_DALITZ
+0.0259 2 K*-R PI+ SVS
+0.0085 2 K*BR PI0 SVS
+0.0107 2 K1- PI+ SVS
+0.0071 2 K1B PI0 SVS
+0.0213 3 KB PI+ PI- PHSP
+0.0145 3 KB PI0 PI0 PHSP
+0.0174 3 K*B PI+ PI- PHSP
+0.0116 3 K*B PI0 PI0 PHSP
+0.0100 3 K*- PI+ PI0 PHSP
+0.0068 3 K- RHO+ PI0 PHSP
+0.0060 3 K- PI+ RHO0 PHSP
+0.0303 3 K- PI+ OMEG PHSP
+0.0100 3 K- PI+ ETA PHSP
+0.0075 3 K- PI+ ETA' PHSP
+0.0143 4 K- PI+ PI+ PI- PHSP
+0.0407 4 KB PI+ PI- PI0 PHSP
+0.0698 4 K- PI+ PI0 PI0 PHSP
+0.0200 4 KB PI0 PI0 PI0 PHSP
+0.0038 5 K- PI+ PI+ PI- PI0 PHSP
+0.0038 5 K- PI+ PI0 PI0 PI0 PHSP
+0.0038 5 KB PI+ PI- PI+ PI- PHSP
+0.0038 5 KB PI+ PI- PI0 PI0 PHSP
+0.0088 2 PHI KB SVS
+0.0051 3 KB K+ K- PHSP
+0.0010 3 K0S K0S K0S PHSP
+0.0044 2 K+ K- PHSP2
+0.0006 2 K0S K0S PHSP2
+0.0006 2 K0L K0L PHSP2
+0.0020 2 K*0 KB SVS
+0.0020 2 K*B K0 SVS
+0.0019 2 K*- K+ SVS
+0.0035 2 K*+ K- SVS
+0.0010 2 K*B K*0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0020 2 PHI PI0 SVS
+0.0025 3 PHI PI+ PI- PHSP
+0.0030 4 K+ K- PI+ PI- PHSP
+0.0030 4 K+ K- PI0 PI0 PHSP
+0.0015 4 KB K0 PI+ PI- PHSP
+0.0015 4 KB K0 PI0 PI0 PHSP
+0.0015 2 PI+ PI- PHSP2
+0.0009 2 PI0 PI0 PHSP2
+0.0010 2 ETA PI0 PHSP2
+0.0010 2 ETA' PI0 PHSP2
+0.0010 2 ETA ETA PHSP2
+0.0040 2 RHO+ PI- SVS
+0.0040 2 RHO- PI+ SVS
+0.0020 2 RHO0 PI0 SVS
+0.0020 3 PI+ PI- PI0 PHSP
+0.0010 3 PI0 PI0 PI0 PHSP
+0.0081 4 PI+ PI+ PI- PI- PHSP
+0.0050 4 PI+ PI+ PI0 PI0 PHSP
+0.0140 5 PI+ PI- PI+ PI- PI0 PHSP
+0.0060 5 PI+ PI- PI0 PI0 PI0 PHSP
+Enddecay
+Alias K*+R K*+
+Alias K*0R K*0
+Decay K*+R
+1.0000 2 K0 PI+ VSS
+Enddecay
+Decay K*0R
+1.0000 2 K0 PI0 VSS
+Enddecay
+Decay D0B
+0.0198 3 K*+ E- NUEB ISGW2
+0.0364 3 K+ E- NUEB ISGW2
+0.0014 3 K1+ E- NUEB ISGW2
+0.0015 3 K2*+ E- NUEB ISGW2
+0.0050 3 PI+ E- NUEB ISGW2
+0.0029 3 RHO+ E- NUEB ISGW2
+0.0198 3 K*+ MU- NUMB ISGW2
+0.0364 3 K+ MU- NUMB ISGW2
+0.0014 3 K1+ MU- NUMB ISGW2
+0.0015 3 K2*+ MU- NUMB ISGW2
+0.0050 3 PI+ MU- NUMB ISGW2
+0.0029 3 RHO+ MU- NUMB ISGW2
+0.0391 2 K+ PI- PHSP2
+0.0220 2 K0 PI0 PHSP2
+0.0077 2 K0 ETA PHSP2
+0.0174 2 K0 ETA' PHSP2
+0.0207 2 OMEG K0 SVS
+0.0159 2 K*0 ETA SVS
+0.0020 2 K*0 ETA' SVS
+0.0798 2 A1- K+ SVS
+0.0600 2 K*+ RHO- SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0161 2 K*0 RHO0 SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0111 2 K*0 OMEG SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.1307 3 K+ PI- PI0 D0_DALITZ
+0.0259 2 K*+R PI- SVS
+0.0085 2 K*0R PI0 SVS
+0.0107 2 K1+ PI- SVS
+0.0071 2 K10 PI0 SVS
+0.0213 3 K0 PI+ PI- PHSP
+0.0145 3 K0 PI0 PI0 PHSP
+0.0174 3 K*0 PI+ PI- PHSP
+0.0116 3 K*0 PI0 PI0 PHSP
+0.0100 3 K*+ PI- PI0 PHSP
+0.0068 3 K+ RHO- PI0 PHSP
+0.0060 3 K+ PI- RHO0 PHSP
+0.0303 3 K+ PI- OMEG PHSP
+0.0100 3 K+ PI- ETA PHSP
+0.0075 3 K+ PI- ETA' PHSP
+0.0143 4 K+ PI- PI+ PI- PHSP
+0.0407 4 K0 PI+ PI- PI0 PHSP
+0.0698 4 K+ PI- PI0 PI0 PHSP
+0.0200 4 K0 PI0 PI0 PI0 PHSP
+0.0038 5 K+ PI- PI+ PI- PI0 PHSP
+0.0038 5 K+ PI- PI0 PI0 PI0 PHSP
+0.0038 5 K0 PI+ PI- PI+ PI- PHSP
+0.0038 5 K0 PI+ PI- PI0 PI0 PHSP
+0.0088 2 PHI K0 SVS
+0.0051 3 K0 K+ K- PHSP
+0.0010 3 K0S K0S K0S PHSP
+0.0044 2 K+ K- PHSP2
+0.0006 2 K0S K0S PHSP2
+0.0006 2 K0L K0L PHSP2
+0.0020 2 K*B K0 SVS
+0.0020 2 K*0 KB SVS
+0.0019 2 K*+ K- SVS
+0.0035 2 K*- K+ SVS
+0.0010 2 K*0 K*B SVV_HELAMP 1.0 0.0 1.0 0.0 1.0 0.0
+0.0020 2 PHI PI0 SVS
+0.0025 3 PHI PI+ PI- PHSP
+0.0030 4 K+ K- PI+ PI- PHSP
+0.0030 4 K+ K- PI0 PI0 PHSP
+0.0015 4 KB K0 PI+ PI- PHSP
+0.0015 4 KB K0 PI0 PI0 PHSP
+0.0015 2 PI+ PI- PHSP2
+0.0009 2 PI0 PI0 PHSP2
+0.0010 2 ETA PI0 PHSP2
+0.0010 2 ETA' PI0 PHSP2
+0.0010 2 ETA ETA PHSP2
+0.0040 2 RHO+ PI- SVS
+0.0040 2 RHO- PI+ SVS
+0.0020 2 RHO0 PI0 SVS
+0.0020 3 PI+ PI- PI0 PHSP
+0.0010 3 PI0 PI0 PI0 PHSP
+0.0081 4 PI+ PI+ PI- PI- PHSP
+0.0050 4 PI+ PI+ PI0 PI0 PHSP
+0.0140 5 PI+ PI- PI+ PI- PI0 PHSP
+0.0060 5 PI+ PI- PI0 PI0 PI0 PHSP
+Enddecay
+Decay RHO0
+1.000 2 PI+ PI- VSS
+Enddecay
+Decay RHO+
+1.000 2 PI+ PI0 VSS
+Enddecay
+Decay RHO-
+1.000 2 PI- PI0 VSS
+Enddecay
+Decay F1
+0.1500 3 RHO0 PI+ PI- PHSP
+0.0500 3 RHO0 PI0 PI0 PHSP
+0.0500 3 RHO+ PI- PI0 PHSP
+0.0500 3 RHO- PI+ PI0 PHSP
+0.1400 2 A00 PI0 VSS
+0.1400 2 A0+ PI- VSS
+0.1400 2 A0- PI+ VSS
+0.0700 3 ETA PI+ PI- PHSP
+0.0300 3 ETA PI0 PI0 PHSP
+0.0300 3 K+ K- PI0 PHSP
+0.0200 3 K0 KB PI0 PHSP
+0.0300 3 KB K+ PI- PHSP
+0.0300 3 K0 K- PI+ PHSP
+0.0700 2 GAMM RHO0 PHSP
+Enddecay
+Decay F1'
+0.2500 3 K+ K- PI0 PHSP
+0.2500 3 K0 KB PI0 PHSP
+0.2500 3 KB K+ PI- PHSP
+0.2500 3 K0 K- PI+ PHSP
+Enddecay
+Decay F2
+0.5670 2 PI+ PI- TSS
+0.2840 2 PI0 PI0 TSS
+0.0280 4 PI+ PI- PI+ PI- PHSP
+0.0660 4 PI+ PI- PI0 PI0 PHSP
+0.0030 4 PI0 PI0 PI0 PI0 PHSP
+0.0240 2 K+ K- TSS
+0.0240 2 K0L K0S TSS
+0.0040 2 ETA ETA TSS
+Enddecay
+Decay F2'
+0.3560 2 K+ K- TSS
+0.3560 2 K0L K0S TSS
+0.2790 2 ETA ETA TSS
+0.0060 2 PI+ PI- TSS
+0.0030 2 PI0 PI0 TSS
+Enddecay
+Decay H1
+0.3333 2 RHO+ PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.3333 2 RHO- PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.3334 2 RHO0 PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay H1'
+0.2500 2 K*+ K- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.2500 2 K*- K+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.2500 2 K*B K0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.2500 2 K*0 KB VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay 1P1P
+0.3333 2 D*+ PI0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+0.6667 2 D*0 PI+ VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+Enddecay
+Decay 1P10
+0.6667 2 D*+ PI- VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+0.3333 2 D*0 PI0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+Enddecay
+Decay 1P1B
+0.3333 2 D*B PI0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+0.6667 2 D*- PI+ VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+Enddecay
+Decay 1P1N
+0.3333 2 D*- PI0 VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+0.6667 2 D*B PI- VVS_PWAVE 0.0 0.0 0.0 0.0 1.0 0.0
+Enddecay
+Decay 3P10
+0.6667 2 D*+ PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.3333 2 D*0 PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay 3P1B
+0.3333 2 D*B PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.6667 2 D*- PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay 3P1P
+0.3333 2 D*+ PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.6667 2 D*0 PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay 3P1N
+0.3333 2 D*- PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.6667 2 D*B PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay 3P20
+0.2090 2 D*+ PI- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.1030 2 D*0 PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.4590 2 D+ PI- TSS
+0.2290 2 D0 PI0 TSS
+Enddecay
+Decay 3P2B
+0.1030 2 D*B PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.2090 2 D*- PI+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.2290 2 D0B PI0 TSS
+0.4590 2 D- PI+ TSS
+Enddecay
+Decay 3P2P
+0.1030 2 D*+ PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.2090 2 D*0 PI+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.2290 2 D+ PI0 TSS
+0.4590 2 D0 PI+ TSS
+Enddecay
+Decay 3P2N
+0.1030 2 D*- PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.2090 2 D*B PI- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.2290 2 D- PI0 TSS
+0.4590 2 D0B PI- TSS
+Enddecay
+Decay D21S00
+0.6667 2 D*+ PI- SVS
+0.3333 2 D*0 PI0 SVS
+Enddecay
+Decay D21S0B
+0.3333 2 D*B PI0 SVS
+0.6667 2 D*- PI+ SVS
+Enddecay
+Decay D21S0P
+0.3333 2 D*+ PI0 SVS
+0.6667 2 D*0 PI+ SVS
+Enddecay
+Decay D21S0N
+0.3333 2 D*- PI0 SVS
+0.6667 2 D*B PI- SVS
+Enddecay
+Decay D23S10
+0.3333 2 D*+ PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1667 2 D*0 PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1667 2 D0 PI0 VSS
+0.3333 2 D+ PI- VSS
+Enddecay
+Decay D23S1B
+0.1667 2 D*B PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.3333 2 D*- PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1667 2 D0B PI0 VSS
+0.3333 2 D- PI+ VSS
+Enddecay
+Decay D23S1P
+0.1667 2 D*+ PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.3333 2 D*0 PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1667 2 D+ PI0 VSS
+0.3333 2 D0 PI+ VSS
+Enddecay
+Decay D23S1N
+0.1667 2 D*- PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.3333 2 D*B PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.1667 2 D- PI0 VSS
+0.3333 2 D0B PI- VSS
+Enddecay
+Decay OMEG
+0.8880 3 PI- PI+ PI0 OMEGA_DALITZ
+0.0850 2 PI0 GAMM VSP_PWAVE
+0.0221 2 PI- PI+ VSS
+0.0008 2 ETA GAMM VSP_PWAVE
+0.0006 3 PI0 E+ E- PHSP
+0.0001 3 PI0 MU+ MU- PHSP
+0.0020 3 PI+ PI- GAMM PHSP
+0.0004 3 PI0 PI0 GAMM PHSP
+0.0010 4 PI+ PI- PI+ PI- PHSP
+Enddecay
+Decay A1+
+0.4920 2 RHO0 PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.5080 2 RHO+ PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay A10
+0.5000 2 RHO- PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.5000 2 RHO+ PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay A1-
+0.4920 2 RHO0 PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.5080 2 RHO- PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+Enddecay
+Decay A2+
+0.3500 2 RHO0 PI+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.3500 2 RHO+ PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.1440 2 ETA PI+ TSS
+0.1050 3 OMEG PI+ PI0 PHSP
+0.0480 2 KB K+ TSS
+0.0030 2 PI+ GAMM PHSP
+Enddecay
+Decay A2-
+0.3500 2 RHO0 PI- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.3500 2 RHO- PI0 TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.1440 2 ETA PI- TSS
+0.1050 3 OMEG PI- PI0 PHSP
+0.0480 2 KB K- TSS
+0.0030 2 PI- GAMM PHSP
+Enddecay
+Decay A20
+0.3500 2 RHO+ PI- TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.3500 2 RHO- PI+ TVS_PWAVE 0.0 0.0 1.0 0.0 0.0 0.0
+0.1440 2 ETA PI0 TSS
+0.1050 3 OMEG PI+ PI- PHSP
+0.0240 2 K+ K- TSS
+0.0120 2 K0L K0L TSS
+0.0120 2 K0S K0S TSS
+0.0030 2 PI0 GAMM PHSP
+Enddecay
+Decay B1+
+0.9970 2 OMEG PI+ VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0030 2 PI+ GAMM VSP_PWAVE
+Enddecay
+Decay B1-
+0.9970 2 OMEG PI- VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0030 2 PI- GAMM VSP_PWAVE
+Enddecay
+Decay B10
+0.9970 2 OMEG PI0 VVS_PWAVE 1.0 0.0 0.0 0.0 0.0 0.0
+0.0030 2 PI0 GAMM VSP_PWAVE
+Enddecay
+End
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+* type name id mass/GeV width/GeV max_Dm/GeV 3*charge 2*spin lifetime*c/mm Lund-KC
+*
+add p Parton d 1 0.0099 0 0 -1 1 0 1
+add p Parton anti-d -1 0.0099 0 0 1 1 0 0
+add p Parton u 2 0.0056 0 0 2 1 0 2
+add p Parton anti-u -2 0.0056 0 0 -2 1 0 0
+add p Parton s 3 0.199 0 0 -1 1 0 3
+add p Parton anti-s -3 0.199 0 0 1 1 0 0
+add p Parton c 4 1.35 0 0 2 1 0 4
+add p Parton anti-c -4 1.35 0 0 -2 1 0 0
+add p Parton b 5 5. 0 0 -1 1 0 5
+add p Parton anti-b -5 5. 0 0 1 1 0 0
+add p Parton t 6 175. 0 0 2 1 0 6
+add p Parton anti-t -6 175. 0 0 -2 1 0 0
+add p Parton b' 7 400. 0 0 -1 1 0 7
+add p Parton anti-b' -7 400. 0 0 1 1 0 0
+add p Parton t' 8 500. 0 0 2 1 0 8
+add p Parton anti-t' -8 500. 0 0 -2 1 0 0
+add p InterBoson g 21 0 0 0 0 2 0 21
+add p Lepton e- 11 0.000510999 0 0 -3 1 0 11
+add p Lepton e+ -11 0.000510999 0 0 3 1 0 0
+add p Lepton nu_e 12 0 0 0 0 1 0 12
+add p Lepton anti-nu_e -12 0 0 0 0 1 0 0
+add p Lepton mu- 13 0.1056584 0 0 -3 1 658654. 13
+add p Lepton mu+ -13 0.1056584 0 0 3 1 658654. 0
+add p Lepton nu_mu 14 0 0 0 0 1 0 14
+add p Lepton anti-nu_mu -14 0 0 0 0 1 0 0
+add p Lepton tau- 15 1.77690 0 0 -3 1 0.08711 15
+add p Lepton tau+ -15 1.77690 0 0 3 1 0.08711 0
+add p Lepton nu_tau 16 0 0 0 0 1 0 16
+add p Lepton anti-nu_tau -16 0 0 0 0 1 0 0
+add p Lepton L- 17 400. 0 0 -3 1 0 17
+add p Lepton L+ -17 400. 0 0 3 1 0 0
+add p Lepton nu_L 18 0 0 0 0 1 0 18
+add p Lepton anti-nu_L -18 0 0 0 0 1 0 0
+add p InterBoson gamma 22 0 0 0 0 2 0 22
+add p Special vpho 10022 0 0 0 0 2 0 0
+add p InterBoson gammaFSR 100022 0.000000001 0 0 0 2 0 0
+add p Special gammafsr 100022 0 0 0 0 2 0 0
+add p Special Cerenkov 20022 0 0 0 0 2 0 0
+add p InterBoson Z0 23 91.1876 2.4952 10. 0 2 0 23
+add p InterBoson W+ 24 80.403 2.141 10. 3 2 0 24
+add p InterBoson W- -24 80.403 2.141 10. -3 2 0 0
+add p InterBoson Higgs0 25 200. 0 0 0 0 0 25
+add p InterBoson reggeon 28 0 0 0 0 0 0 28
+add p InterBoson pomeron 29 0 0 0 0 0 0 29
+add p InterBoson Z'0 32 500. 0 0 0 2 0 32
+add p InterBoson Z''0 33 900. 0 0 0 2 0 33
+add p InterBoson W'+ 34 500. 0 0 3 2 0 34
+add p InterBoson W'- -34 500. 0 0 -3 2 0 0
+add p InterBoson Higgs'0 35 300. 0 0 0 0 0 35
+add p InterBoson A0 36 300. 0 0 0 0 0 36
+add p InterBoson Higgs+ 37 300. 0 0 3 0 0 37
+add p InterBoson Higgs- -37 300. 0 0 -3 0 0 0
+add p InterBoson R0 40 5000. 0 0 0 2 0 40
+add p InterBoson anti-R0 -40 5000. 0 0 0 2 0 0
+add p Special Xu0 41 1. 0 0 0 0 0 41
+add p Special Xu+ 42 1. 0 0 +3 0 0 42
+add p Special Xu- -42 1. 0 0 -3 0 0 0
+add p Special specflav 81 0 0 0 0 0 0 81
+add p Special rndmflav 82 0 0 0 0 0 0 82
+add p Special anti-rndmflav -82 0 0 0 0 0 0 0
+add p Special phasespa 83 0 0 0 0 0 0 83
+add p Special c-hadron 84 2.0 0 0 2 0 0.1 84
+add p Special anti-c-hadron -84 2.0 0 0 -2 0 0.1 0
+add p Special b-hadron 85 5.0 0 0 -1 0 0.387 85
+add p Special anti-b-hadron -85 5.0 0 0 1 0 0.387 0
+add p Special t-hadron 86 175. 0 0 2 0 0 86
+add p Special anti-t-hadron -86 175. 0 0 -2 0 0 0
+add p Special b'-hadron 87 400. 0 0 -1 0 0 87
+add p Special anti-b'-hadron -87 400. 0 0 1 0 0 0
+add p Special t'-hadron 88 500. 0 0 2 0 0 88
+add p Special anti-t'-hadron -88 500. 0 0 -2 0 0 0
+add p Special Wvirt+ 89 0 0 0 3 0 0 89
+add p Special Wvirt- -89 0 0 0 -3 0 0 0
+add p Special diquark 90 0 0 0 0 0 0 90
+add p Special anti-diquark -90 0 0 0 0 0 0 0
+add p Special cluster 91 0 0 0 0 0 0 91
+add p Special string 92 0 0 0 0 0 0 92
+add p Special indep 93 0 0 0 0 0 0 93
+add p Special CMshower 94 0 0 0 0 0 0 94
+add p Special SPHEaxis 95 0 0 0 0 0 0 95
+add p Special THRUaxis 96 0 0 0 0 0 0 96
+add p Special CLUSjet 97 0 0 0 0 0 0 97
+add p Special CELLjet 98 0 0 0 0 0 0 98
+add p Special table 99 0 0 0 0 0 0 99
+add p Special bsbottom 500 9.2 0.01 0 0 0 0 500
+add p Meson pi0 111 0.134977 0 0 0 0 0 111
+add p Meson pi+ 211 0.139570 0 0 3 0 7804.5 101
+add p Meson pi- -211 0.139570 0 0 -3 0 7804.5 0
+add p Special pi_diff+ 210 0 0 0 3 0 0 281
+add p Special pi_diff- -210 0 0 0 -3 0 0 0
+add p Meson pi(2S)0 20111 1.30 0.40 0.5 0 0 0 0
+add p Meson pi(2S)+ 20211 1.30 0.40 0.5 3 0 0 0
+add p Meson pi(2S)- -20211 1.30 0.40 0.5 -3 0 0 0
+add p Meson eta 221 0.547785 0 0 0 0 0 112
+add p Meson eta(2S) 20221 1.294 0.055 0.2 0 0 0 0
+add p Meson eta' 331 0.95778 0.0002 0.002 0 0 0 113
+add p Meson eta(1405) 9020221 1.4098 0.0511 0.3 0 0 0 0
+add p Meson eta(1475) 100331 1.476 0.087 0.45 0 0 0 0
+add p Meson rho0 113 0.77549 0.1494 0.48 0 2 0 131
+add p Special rho_diff0 110 0 0 0 0 2 0 284
+add p Meson rho+ 213 0.77549 0.1494 0.48 3 2 0 121
+add p Meson rho- -213 0.77549 0.1494 0.48 -3 2 0 0
+add p Meson rho(2S)0 30113 1.465 0.40 0.5 0 2 0 0
+add p Meson rho(2S)+ 30213 1.465 0.40 0.5 3 2 0 0
+add p Meson rho(2S)- -30213 1.465 0.40 0.5 -3 2 0 0
+add p Meson rho(3S)0 40113 1.720 0.250 0.5 0 2 0 0
+add p Meson rho(3S)+ 40213 1.720 0.250 0.5 3 2 0 0
+add p Meson rho(3S)- -40213 1.720 0.250 0.5 -3 2 0 0
+add p Meson omega 223 0.78265 0.00849 0.18 0 2 0 132
+add p Special omega_diff 220 0 0 0 0 2 0 285
+add p Meson omega(2S) 30223 1.42 0.174 0.4 0 2 0 0
+add p Meson phi 333 1.019455 0.00426 0.032 0 2 0 133
+add p Special phi_diff 330 0 0 0 0 2 0 286
+add p Meson a_00 10111 0.9847 0.057 0.050 0 0 0 171
+add p Meson a_0+ 10211 0.9847 0.057 0.050 3 0 0 161
+add p Meson a_0- -10211 0.9847 0.057 0.050 -3 0 0 0
+add p Meson f_0 10221 0.980 0.05 0.0 0 0 0 172
+add p Meson f'_0 10331 1.4 0.3 0.35 0 0 0 173
+add p Meson b_10 10113 1.2295 0.142 0.25 0 2 0 151
+add p Meson b_1+ 10213 1.2295 0.142 0.25 3 2 0 141
+add p Meson b_1- -10213 1.2295 0.142 0.25 -3 2 0 0
+add p Meson h_1 10223 1.17 0.36 0.2 0 2 0 152
+add p Meson h'_1 10333 1.386 0.091 0.010 0 2 0 153
+add p Meson a_10 20113 1.23 0.4 0.6 0 2 0 191
+add p Meson a_1+ 20213 1.23 0.4 0.6 3 2 0 181
+add p Meson a_1- -20213 1.23 0.4 0.6 -3 2 0 0
+add p Meson f_1 20223 1.2818 0.0242 0.05 0 2 0 192
+add p Meson f'_1 20333 1.4263 0.0549 0.10 0 2 0 193
+add p Meson a_20 115 1.3183 0.107 0.5 0 4 0 211
+add p Meson a_2+ 215 1.3183 0.107 0.5 3 4 0 201
+add p Meson a_2- -215 1.3183 0.107 0.5 -3 4 0 0
+add p Meson f_2 225 1.2751 0.185 0.27 0 4 0 212
+add p Meson f_0(1500) 50221 1.505 0.109 0.3 0 0 0 0
+add p Meson f_0(1710) 110331 1.724 0.137 0.5 0 0 0 0
+add p Meson f'_2 335 1.525 0.073 0.2 0 4 0 213
+add p Meson f_2(1950) 9050225 1.944 0.472 1.0 0 4 0 0
+add p Meson f_4(2050) 229 2.018 0.237 0.7 0 8 0 0
+add p Meson K0 311 0.497648 0 0 0 0 0 102
+add p Meson anti-K0 -311 0.497648 0 0 0 0 0 0
+add p Meson K_S0 310 0.497648 0 0 0 0 26.842 222
+add p Meson K_L0 130 0.497648 0 0 0 0 15340. 221
+add p Meson K+ 321 0.493677 0 0 3 0 3713. 103
+add p Meson K- -321 0.493677 0 0 -3 0 3713. 0
+add p Meson K*0 313 0.89600 0.0503 0.23 0 2 0 122
+add p Meson anti-K*0 -313 0.89600 0.0503 0.23 0 2 0 0
+add p Meson K*+ 323 0.89166 0.0508 0.23 3 2 0 123
+add p Meson K*- -323 0.89166 0.0508 0.23 -3 2 0 0
+add p Meson K_0*0 10311 1.414 0.290 0.6 0 0 0 162
+add p Meson anti-K_0*0 -10311 1.414 0.290 0.6 0 0 0 0
+add p Meson K_0*+ 10321 1.414 0.232 0.6 3 0 0 163
+add p Meson K_0*- -10321 1.414 0.232 0.6 -3 0 0 0
+add p Meson K_10 10313 1.272 0.09 0.2 0 2 0 142
+add p Meson anti-K_10 -10313 1.272 0.09 0.2 0 2 0 0
+add p Meson K_1+ 10323 1.272 0.09 0.2 3 2 0 143
+add p Meson K_1- -10323 1.272 0.09 0.2 -3 2 0 0
+add p Meson K_2*0 315 1.4324 0.109 0.7 0 4 0 202
+add p Meson anti-K_2*0 -315 1.4324 0.109 0.7 0 4 0 0
+add p Meson K_2*+ 325 1.4256 0.0985 0.7 3 4 0 203
+add p Meson K_2*- -325 1.4256 0.0985 0.7 -3 4 0 0
+add p Meson K'_10 20313 1.403 0.174 0.4 0 2 0 182
+add p Meson anti-K'_10 -20313 1.403 0.174 0.4 0 2 0 0
+add p Meson K'_1+ 20323 1.403 0.174 0.4 3 2 0 183
+add p Meson K'_1- -20323 1.403 0.174 0.4 -3 2 0 0
+add p Meson K'*0 100313 1.414 0.232 0.6 0 2 0 425
+add p Meson anti-K'*0 -100313 1.414 0.232 0.6 0 2 0 0
+add p Meson K'*+ 100323 1.414 0.232 0.6 3 2 0 426
+add p Meson K'*- -100323 1.414 0.232 0.6 -3 2 0 0
+add p Meson K''*0 30313 1.717 0.322 0.7 0 2 0 427
+add p Meson anti-K''*0 -30313 1.717 0.322 0.7 0 2 0 0
+add p Meson K''*+ 30323 1.717 0.322 0.7 3 2 0 428
+add p Meson K''*- -30323 1.717 0.322 0.7 -3 2 0 0
+add p Meson K_3*0 317 1.776 0.159 0.7 0 6 0 429
+add p Meson anti-K_3*0 -317 1.776 0.159 0.7 0 6 0 0
+add p Meson K_3*+ 327 1.776 0.159 0.7 3 6 0 430
+add p Meson K_3*- -327 1.776 0.159 0.7 -3 6 0 0
+add p Meson K_4*0 319 2.045 0.198 0.2 0 8 0 431
+add p Meson anti-K_4*0 -319 2.045 0.198 0.2 0 8 0 0
+add p Meson K_4*+ 329 2.045 0.198 0.2 3 8 0 432
+add p Meson K_4*- -329 2.045 0.198 0.2 -3 8 0 0
+add p Meson D+ 411 1.86962 0 0 3 0 0.3118 104
+add p Meson D- -411 1.86962 0 0 -3 0 0.3118 0
+add p Meson D0 421 1.86484 0 0 0 0 0.1229 105
+add p Meson anti-D0 -421 1.86484 0 0 0 0 0.1229 0
+add p Meson D0H 422 1.86484 0 0 0 0 0.1234 105
+add p Meson D0L -422 1.86484 0 0 0 0 0.1234 0
+add p Meson D*+ 413 2.01027 0.000096 0.0004 3 2 0 124
+add p Meson D*- -413 2.01027 0.000096 0.0004 -3 2 0 0
+add p Meson D*0 423 2.00697 0 0 0 2 0 125
+add p Meson anti-D*0 -423 2.00697 0 0 0 2 0 0
+add p Meson D_0*+ 10411 2.403 0.283 0.303 3 0 0 164
+add p Meson D_0*- -10411 2.403 0.283 0.303 -3 0 0 0
+add p Meson D_0*0 10421 2.352 0.261 0.299 0 0 0 165
+add p Meson anti-D_0*0 -10421 2.352 0.261 0.299 0 0 0 0
+add p Meson D_1+ 10413 2.4234 0.025 0.28 3 2 0 144
+add p Meson D_1- -10413 2.4234 0.025 0.28 -3 2 0 0
+add p Meson D_10 10423 2.4223 0.0204 0.272 0 2 0 145
+add p Meson anti-D_10 -10423 2.4223 0.0204 0.272 0 2 0 0
+add p Meson D_2*+ 415 2.459 0.029 0.312 3 4 0 204
+add p Meson D_2*- -415 2.459 0.029 0.312 -3 4 0 0
+add p Meson D_2*0 425 2.4611 0.043 0.309 0 4 0 205
+add p Meson anti-D_2*0 -425 2.4611 0.043 0.309 0 4 0 0
+add p Meson D'_1+ 20413 2.461 0.29 0.314 3 2 0 184
+add p Meson D'_1- -20413 2.461 0.29 0.314 -3 2 0 0
+add p Meson D'_10 20423 2.461 0.29 0.311 0 2 0 185
+add p Meson anti-D'_10 -20423 2.461 0.29 0.311 0 2 0 0
+add p Meson D_s+ 431 1.96849 0 0 3 0 0.1499 106
+add p Meson D_s- -431 1.96849 0 0 -3 0 0.1499 0
+add p Meson D_s*+ 433 2.1123 0 0 3 2 0 126
+add p Meson D_s*- -433 2.1123 0 0 -3 2 0 0
+add p Meson D_s0*+ 10431 2.3178 0 0 3 0 0 166
+add p Meson D_s0*- -10431 2.3178 0 0 -3 0 0 0
+add p Meson D_s1+ 10433 2.4596 0 0 3 2 0 146
+add p Meson D_s1- -10433 2.4596 0 0 -3 2 0 0
+add p Meson D_s2*+ 435 2.5726 0.020 0.06 3 4 0 206
+add p Meson D_s2*- -435 2.5726 0.020 0.06 -3 4 0 0
+add p Meson D'_s1+ 20433 2.53535 0 0 3 2 0 186
+add p Meson D'_s1- -20433 2.53535 0 0 -3 2 0 0
+add p Meson D(2S)+ 30411 2.58 0 0 3 0 0 0
+add p Meson D(2S)- -30411 2.58 0 0 -3 0 0 0
+add p Meson D(2S)0 30421 2.58 0 0 0 0 0 0
+add p Meson anti-D(2S)0 -30421 2.58 0 0 0 0 0 0
+add p Meson D*(2S)+ 30413 2.64 0 0 3 2 0 0
+add p Meson D*(2S)- -30413 2.64 0 0 -3 2 0 0
+add p Meson D*(2S)0 30423 2.64 0 0 0 2 0 0
+add p Meson anti-D*(2S)0 -30423 2.64 0 0 0 2 0 0
+add p Meson B0 511 5.2794 0 0 0 0 0.462 107
+add p Meson anti-B0 -511 5.2794 0 0 0 0 0.462 0
+add p Meson B+ 521 5.2791 0 0 3 0 0.502 108
+add p Meson B- -521 5.2791 0 0 -3 0 0.502 0
+add p Meson B0L 150 5.2794 0 0 0 0 0.462 0
+add p Meson B0H 510 5.2794 0 0 0 0 0.462 0
+add p Meson B_s0L 350 5.36930 0 0 0 0 0.490 0
+add p Meson B_s0H 530 5.36930 0 0 0 0 0.430 0
+add p Meson B*0 513 5.3248 0 0 0 2 0 127
+add p Meson anti-B*0 -513 5.3248 0 0 0 2 0 0
+add p Meson B*+ 523 5.3246 0 0 3 2 0 128
+add p Meson B*- -523 5.3246 0 0 -3 2 0 0
+add p Meson B_0*0 10511 5.697 0.1 0.2 0 0 0 167
+add p Meson anti-B_0*0 -10511 5.697 0.1 0.2 0 0 0 0
+add p Meson B_0*+ 10521 5.697 0.1 0.2 3 0 0 168
+add p Meson B_0*- -10521 5.697 0.1 0.2 -3 0 0 0
+add p Meson B_10 10513 5.679 0.1 0.2 0 2 0 147
+add p Meson anti-B_10 -10513 5.679 0.1 0.2 0 2 0 0
+add p Meson B_1+ 10523 5.679 0.1 0.2 3 2 0 148
+add p Meson B_1- -10523 5.679 0.1 0.2 -3 2 0 0
+add p Meson B_2*0 515 5.692 0.1 0.2 0 4 0 207
+add p Meson anti-B_2*0 -515 5.692 0.1 0.2 0 4 0 0
+add p Meson B_2*+ 525 5.692 0.1 0.2 3 4 0 208
+add p Meson B_2*- -525 5.692 0.1 0.2 -3 4 0 0
+add p Meson B'_10 20513 5.740 0.1 0.2 0 2 0 187
+add p Meson anti-B'_10 -20513 5.740 0.1 0.2 0 2 0 0
+add p Meson B'_1+ 20523 5.740 0.1 0.2 3 2 0 188
+add p Meson B'_1- -20523 5.740 0.1 0.2 -3 2 0 0
+add p Meson B_s0 531 5.36930 0 0 0 0 0.460 109
+add p Meson anti-B_s0 -531 5.36930 0 0 0 0 0.460 0
+add p Meson B_s*0 533 5.4163 0 0 0 2 0 129
+add p Meson anti-B_s*0 -533 5.4163 0 0 0 2 0 0
+add p Meson B_s0*0 10531 5.766 0.1 0.12 0 0 0 169
+add p Meson anti-B_s0*0 -10531 5.766 0.1 0.12 0 0 0 0
+add p Meson B_s10 10533 5.810 0.1 0.12 0 2 0 149
+add p Meson anti-B_s10 -10533 5.810 0.1 0.12 0 2 0 0
+add p Meson B_s2*0 535 5.853 0.1 0.2 0 4 0 209
+add p Meson anti-B_s2*0 -535 5.853 0.1 0.2 0 4 0 0
+add p Meson B'_s10 20533 5.840 0.1 0.2 0 2 0 189
+add p Meson anti-B'_s10 -20533 5.840 0.1 0.2 0 2 0 0
+add p Meson B_c+ 541 6.400 0 0 3 0 0.140 110
+add p Meson B_c- -541 6.400 0 0 -3 0 0.140 0
+add p Meson B_c*+ 543 6.602 0 0 3 2 0 130
+add p Meson B_c*- -543 6.602 0 0 -3 2 0 0
+add p Meson B_c0*+ 10541 7.25 0.02 0.06 3 0 0 170
+add p Meson B_c0*- -10541 7.25 0.02 0.06 -3 0 0 0
+add p Meson B_c1+ 10543 7.30 0.02 0.06 3 2 0 150
+add p Meson B_c1- -10543 7.30 0.02 0.06 -3 2 0 0
+add p Meson B_c2*+ 545 7.350 0.02 0.06 3 4 0 210
+add p Meson B_c2*- -545 7.350 0.02 0.06 -3 4 0 0
+add p Meson B'_c1+ 20543 7.40 0.2 0.2 3 2 0 190
+add p Meson B'_c1- -20543 7.40 0.2 0.2 -3 2 0 0
+add p Meson eta_c 441 2.9798 0.0265 0.15 0 0 0 114
+add p Meson eta_c(2S) 20441 3.637 0.014 0.07 0 0 0 460
+add p Meson J/psi 443 3.096916 0.0000934 0.0002 0 2 0 134
+add p Special psi_diff 440 0 0 0 0 2 0 287
+add p Meson psi(2S) 30443 3.68609 0.000327 0.0008 0 2 0 231
+add p Meson psi(3770) 40443 3.7724 0.0252 0.030 0 2 0 0
+add p Meson psi(4040) 50443 4.039 0.080 0.100 0 2 0 0
+add p Meson psi(4160) 60443 4.153 0.103 0.150 0 2 0 0
+add p Meson psi(4415) 70443 4.421 0.062 0.050 0 2 0 0
+add p Meson h_c 10443 3.52528 0 0 0 2 0 154
+add p Meson chi_c0 10441 3.41475 0.0104 0.104 0 0 0 174
+add p Meson chi_c1 20443 3.51066 0.00089 0.01 0 2 0 194
+add p Meson chi_c2 445 3.55620 0.00205 0.021 0 4 0 214
+add p Meson eta_b 551 9.403 0 0 0 0 0 115
+add p Meson eta_b(2S) 20551 9.997 0 0 0 0 0 401
+add p Meson eta_b(3S) 40551 10.335 0 0 0 0 0 402
+add p Meson Upsilon 553 9.46030 0.00005402 0.0005 0 2 0 135
+add p Meson Upsilon(2S) 30553 10.02326 0.00003198 0.0004 0 2 0 235
+add p Meson Upsilon(3S) 60553 10.3552 0.00002032 0.00026 0 2 0 403
+add p Meson Upsilon(4S) 70553 10.5794 0.0205 0.039 0 2 0 404
+add p Meson Upsilon(5S) 80553 10.865 0.110 0 0 2 0 405
+add p Meson h_b 10553 9.875 0 0 0 2 0 155
+add p Meson h_b(2P) 40553 10.25500 0 0 0 2 0 422
+add p Meson h_b(3P) 100553 10.51600 0 0 0 2 0 423
+add p Meson chi_b0 10551 9.85944 0 0 0 0 0 175
+add p Meson chi_b1 20553 9.89278 0 0 0 2 0 195
+add p Meson chi_b2 555 9.91221 0 0 0 4 0 215
+add p Meson chi_b0(2P) 30551 10.2325 0 0 0 0 0 410
+add p Meson chi_b1(2P) 50553 10.25564 0 0 0 2 0 411
+add p Meson chi_b2(2P) 10555 10.26865 0 0 0 4 0 412
+add p Meson chi_b0(3P) 50551 10.50070 0 0 0 0 0 413
+add p Meson chi_b1(3P) 110553 10.51600 0 0 0 2 0 414
+add p Meson chi_b2(3P) 20555 10.52640 0 0 0 4 0 415
+add p Meson eta_b2(1D) 40555 10.157 0 0 0 2 0 424
+add p Meson eta_b2(2D) 60555 10.441 0 0 0 2 0 425
+add p Meson Upsilon_1(1D) 120553 10.15010 0 0 0 2 0 416
+add p Meson Upsilon_2(1D) 30555 10.15620 0 0 0 4 0 417
+add p Meson Upsilon_3(1D) 557 10.15990 0 0 0 6 0 418
+add p Meson Upsilon_1(2D) 130553 10.43490 0 0 0 2 0 419
+add p Meson Upsilon_2(2D) 50555 10.44060 0 0 0 4 0 420
+add p Meson Upsilon_3(2D) 10557 10.44430 0 0 0 6 0 421
+add p Meson sigma_0 10222 0.478 0.324 0 0 0 0 0
+add p Meson omega(1650) 60223 1.67 0.315 0 0 2 0 0
+add p Meson rho(1900) 9030113 1.89 0.151 0 0 2 0 0
+add p Meson rho(2150) 9040113 2.149 0.363 0 0 2 0 0
+add p Meson X(1750) 9180223 1.754 0.122 0 0 2 0 0
+add p Meson omega(1960) 9060223 1.96 0.195 0 0 2 0 0
+add p Meson rho(1965) 9050113 1.99 0.268 0 0 2 0 0
+add p Meson rho(2000) 9060113 2.00 0.295 0 0 2 0 0
+add p Meson omega(2145) 9070223 2.15 0.214 0 0 2 0 0
+add p Meson omega(2205) 9080223 2.21 0.350 0 0 2 0 0
+add p Meson rho(2265) 9070113 2.27 0.325 0 0 2 0 0
+add p Meson rho(2280) 9080113 2.28 0.440 0 0 2 0 0
+add p Meson X(2290) 9190223 2.29 0.275 0 0 2 0 0
+add p Meson omega(2330) 9090223 2.33 0.435 0 0 2 0 0
+add p Baryon Delta- 1114 1.234 0.115 0.14 -3 3 0 361
+add p Baryon anti-Delta+ -1114 1.234 0.115 0.14 3 3 0 0
+add p Special n_diffr 2110 0 0 0 0 1 0 282
+add p Special anti-n_diffr -2110 0 0 0 0 1 0 0
+add p Baryon n0 2112 0.9395656 0 0 0 1 2.66E14 332
+add p Baryon anti-n0 -2112 0.9395656 0 0 0 1 2.66E14 0
+add p Baryon Delta0 2114 1.233 0.115 0.14 0 3 0 362
+add p Baryon anti-Delta0 -2114 1.233 0.115 0.14 0 3 0 0
+add p Special p_diff+ 2210 0 0 0 3 1 0 283
+add p Special anti-p_diff- -2210 0 0 0 -3 1 0 0
+add p Baryon p+ 2212 0.9382723 0 0 3 1 0 333
+add p Baryon anti-p- -2212 0.9382723 0 0 -3 1 0 0
+add p Baryon Delta+ 2214 1.232 0.115 0.14 3 3 0 363
+add p Baryon anti-Delta- -2214 1.232 0.115 0.14 -3 3 0 0
+add p Baryon Delta++ 2224 1.231 0.115 0.14 6 3 0 364
+add p Baryon anti-Delta-- -2224 1.231 0.115 0.14 -6 3 0 0
+add p Baryon Sigma- 3112 1.197436 0 0 -3 1 44.34 335
+add p Baryon anti-Sigma+ -3112 1.197436 0 0 3 1 44.34 0
+add p Baryon Sigma*- 3114 1.3872 0.0394 0.04 -3 3 0 365
+add p Baryon anti-Sigma*+ -3114 1.3872 0.0394 0.04 3 3 0 0
+add p Baryon Lambda0 3122 1.115684 0 0 0 1 78.88 306
+add p Baryon anti-Lambda0 -3122 1.115684 0 0 0 1 78.88 0
+add p Baryon Lambda(1405)0 13122 1.407 0.050 0 0 1 0 0
+add p Baryon anti-Lambda(1405)0 -13122 1.407 0.050 0 0 1 0 0
+add p Baryon Lambda(1520)0 3124 1.5195 0.0156 0.18 0 3 0 0
+add p Baryon anti-Lambda(1520)0 -3124 1.5195 0.0156 0.18 0 3 0 0
+add p Baryon Lambda(1600)0 23122 1.6 0.15 0.25 0 1 0 0
+add p Baryon anti-Lambda(1600)0 -23122 1.6 0.15 0.25 0 1 0 0
+add p Baryon Lambda(1670)0 33122 1.67 0.035 0.18 0 1 0 0
+add p Baryon anti-Lambda(1670)0 -33122 1.67 0.035 0.18 0 1 0 0
+add p Baryon Lambda(1690)0 13124 1.69 0.06 0.3 0 3 0 0
+add p Baryon anti-Lambda(1690)0 -13124 1.69 0.06 0.3 0 3 0 0
+add p Baryon Lambda(1800)0 43122 1.8 0.3 0 0 1 0 0
+add p Baryon anti-Lambda(1800)0 -43122 1.8 0.3 0 0 1 0 0
+add p Baryon Lambda(1810)0 53122 1.81 0.15 0 0 1 0 0
+add p Baryon anti-Lambda(1810)0 -53122 1.81 0.15 0 0 1 0 0
+add p Baryon Lambda(1820)0 3126 1.82 0.08 0.4 0 5 0 0
+add p Baryon anti-Lambda(1820)0 -3126 1.82 0.08 0.4 0 5 0 0
+add p Baryon Lambda(1830)0 13126 1.83 0.095 0.48 0 5 0 0
+add p Baryon anti-Lambda(1830)0 -13126 1.83 0.095 0.48 0 5 0 0
+add p Baryon Sigma(1660)0 13212 1.66 0.1 0 0 1 0 0
+add p Baryon anti-Sigma(1660)0 -13212 1.66 0.1 0 0 1 0 0
+add p Baryon Sigma(1670)0 13214 1.67 0.06 0.3 0 3 0 0
+add p Baryon anti-Sigma(1670)0 -13214 1.67 0.06 0.3 0 3 0 0
+add p Baryon Sigma(1750)0 23212 1.75 0.09 0.45 0 1 0 0
+add p Baryon anti-Sigma(1750)0 -23212 1.75 0.09 0.45 0 1 0 0
+add p Baryon Sigma(1775)0 3216 1.775 0.12 0 0 5 0 0
+add p Baryon anti-Sigma(1775)0 -3216 1.775 0.12 0 0 5 0 0
+add p Baryon Sigma0 3212 1.19255 0 0 0 1 0 336
+add p Baryon anti-Sigma0 -3212 1.19255 0 0 0 1 0 0
+add p Baryon Sigma*0 3214 1.3837 0.036 0.035 0 3 0 366
+add p Baryon anti-Sigma*0 -3214 1.3837 0.036 0.035 0 3 0 0
+add p Baryon Sigma+ 3222 1.18937 0 0 3 1 23.96 337
+add p Baryon anti-Sigma- -3222 1.18937 0 0 -3 1 23.96 0
+add p Baryon Sigma*+ 3224 1.3828 0.036 0.035 3 3 0 367
+add p Baryon anti-Sigma*- -3224 1.3828 0.036 0.035 -3 3 0 0
+add p Baryon Xi- 3312 1.32132 0 0 -3 1 49.1 338
+add p Baryon anti-Xi+ -3312 1.32132 0 0 3 1 49.1 0
+add p Baryon Xi*- 3314 1.5350 0.0099 0.05 -3 3 0 368
+add p Baryon anti-Xi*+ -3314 1.5350 0.0099 0.05 3 3 0 0
+add p Baryon Xi0 3322 1.3149 0 0 0 1 87.1 339
+add p Baryon anti-Xi0 -3322 1.3149 0 0 0 1 87.1 0
+add p Baryon Xi*0 3324 1.5318 0.0091 0.05 0 3 0 369
+add p Baryon anti-Xi*0 -3324 1.5318 0.0091 0.05 0 3 0 0
+add p Baryon Omega- 3334 1.67245 0 0 -3 3 24.6 370
+add p Baryon anti-Omega+ -3334 1.67245 0 0 3 3 24.6 0
+add p Baryon Lambda_c(2593)+ 14122 2.5939 0.0036 0 3 1 0 462
+add p Baryon anti-Lambda_c(2593)- -14122 2.5939 0.0036 0 -3 1 0 0
+add p Baryon Lambda_c(2625)+ 14124 2.6266 0.0019 0 3 3 0 471
+add p Baryon anti-Lambda_c(2625)- -14124 2.6266 0.0019 0 -3 3 0 0
+add p Baryon Sigma_c0 4112 2.4522 0.0016 0 0 1 0 341
+add p Baryon anti-Sigma_c0 -4112 2.4522 0.0016 0 0 1 0 0
+add p Baryon Sigma_c*0 4114 2.5175 0.013 0 0 3 0 371
+add p Baryon anti-Sigma_c*0 -4114 2.5175 0.013 0 0 3 0 0
+add p Baryon Sigma_c+ 4212 2.4513 0 0 3 1 0 342
+add p Baryon anti-Sigma_c- -4212 2.4513 0 0 -3 1 0 0
+add p Baryon Sigma_c*+ 4214 2.5159 0 0 3 3 0 372
+add p Baryon anti-Sigma_c*- -4214 2.5159 0 0 -3 3 0 0
+add p Baryon Sigma_c++ 4222 2.4526 0.002 0 6 1 0 343
+add p Baryon anti-Sigma_c-- -4222 2.4526 0.002 0 -6 1 0 0
+add p Baryon Sigma_c*++ 4224 2.5194 0.018 0 6 3 0 373
+add p Baryon anti-Sigma_c*-- -4224 2.5194 0.018 0 -6 3 0 0
+add p Baryon Xi'_c0 4312 2.5788 0 0 0 1 0 344
+add p Baryon anti-Xi'_c0 -4312 2.5788 0 0 0 1 0 0
+add p Baryon Xi'_c+ 4322 2.5741 0 0 3 1 0 345
+add p Baryon anti-Xi'_c- -4322 2.5741 0 0 -3 1 0 0
+add p Baryon Xi_c*+ 4324 2.6474 0 0 3 3 0 375
+add p Baryon anti-Xi_c*- -4324 2.6474 0 0 -3 3 0 0
+add p Baryon Lambda_c+ 4122 2.2849 0 0 3 1 0.0618 312
+add p Baryon anti-Lambda_c- -4122 2.2849 0 0 -3 1 0.0618 0
+add p Baryon Xi_c0 4132 2.4703 0 0 0 1 0.029 314
+add p Baryon anti-Xi_c0 -4132 2.4703 0 0 0 1 0.029 0
+add p Baryon Xi_c+ 4232 2.4656 0 0 3 1 0.106 315
+add p Baryon anti-Xi_c- -4232 2.4656 0 0 -3 1 0.106 0
+add p Baryon Xi_c*0 4314 2.6438 0 0 0 3 0 374
+add p Baryon anti-Xi_c*0 -4314 2.6438 0 0 0 3 0 0
+add p Baryon Lambda_c(2765)+ 24122 2.765 0.050 0 3 1 0 480
+add p Baryon anti-Lambda_c(2765)- -24122 2.765 0.050 0 -3 1 0 0
+add p Baryon Lambda_c(2880)+ 24124 2.880 0.005 0 3 3 0 481
+add p Baryon anti-Lambda_c(2880)- -24124 2.880 0.005 0 -3 3 0 0
+add p Baryon Lambda_c(2925)+ 34122 2.925 0.03 0 3 1 0 482
+add p Baryon anti-Lambda_c(2925)- -34122 2.925 0.03 0 -3 1 0 0
+add p Baryon Lambda_c(2975)+ 34124 2.975 0.01 0 3 3 0 483
+add p Baryon anti-Lambda_c(2975)- -34124 2.975 0.01 0 -3 3 0 0
+add p Baryon Sigma_c(2795)0 14112 2.795 0.06 0 0 1 0 461
+add p Baryon anti-Sigma_c(2795)0 -14112 2.795 0.06 0 0 1 0 0
+add p Baryon Sigma_c(2850)0 14114 2.850 0.09 0 0 3 0 470
+add p Baryon anti-Sigma_c(2850)0 -14114 2.850 0.09 0 0 3 0 0
+add p Baryon Sigma_c(2795)+ 14212 2.795 0.06 0 3 1 0 464
+add p Baryon anti-Sigma_c(2795)- -14212 2.795 0.06 0 -3 1 0 0
+add p Baryon Sigma_c(2850)+ 14214 2.850 0.09 0 3 3 0 473
+add p Baryon anti-Sigma_c(2850)- -14214 2.850 0.09 0 -3 3 0 0
+add p Baryon Sigma_c(2795)++ 14222 2.795 0.06 0 6 1 0 465
+add p Baryon anti-Sigma_c(2795)-- -14222 2.795 0.06 0 -6 1 0 0
+add p Baryon Sigma_c(2850)++ 14224 2.850 0.09 0 6 3 0 474
+add p Baryon anti-Sigma_c(2850)-- -14224 2.850 0.09 0 -6 3 0 0
+add p Baryon Xi_c(2790)0 14132 2.790 0 0 0 1 0 463
+add p Baryon anti-Xi_c(2790)0 -14132 2.790 0 0 0 1 0 0
+add p Baryon Xi_c(2790)+ 14232 2.790 0 0 3 1 0 466
+add p Baryon anti-Xi_c(2790)- -14232 2.790 0 0 -3 1 0 0
+add p Baryon Xi_c(2815)0 14134 2.819 0 0 0 3 0 472
+add p Baryon anti-Xi_c(2815)0 -14134 2.819 0 0 0 3 0 0
+add p Baryon Xi_c(2815)+ 14234 2.8149 0 0 3 3 0 475
+add p Baryon anti-Xi_c(2815)- -14234 2.8149 0 0 -3 3 0 0
+add p Baryon Xi_c(2900)0 14312 2.900 0.02 0 0 1 0 467
+add p Baryon anti-Xi_c(2900)0 -14312 2.900 0.02 0 0 1 0 0
+add p Baryon Xi_c(2900)+ 14322 2.900 0.02 0 3 1 0 468
+add p Baryon anti-Xi_c(2900)- -14322 2.900 0.02 0 -3 1 0 0
+add p Baryon Xi_c(2950)0 14314 2.950 0.04 0 0 3 0 476
+add p Baryon anti-Xi_c(2950)0 -14314 2.950 0.04 0 0 3 0 0
+add p Baryon Xi_c(2950)+ 14324 2.950 0.04 0 3 3 0 477
+add p Baryon anti-Xi_c(2950)- -14324 2.950 0.04 0 -3 3 0 0
+add p Baryon Xi_cc+ 4412 3.460 0 0 3 1 0 491
+add p Baryon anti-Xi_cc- -4412 3.460 0 0 -3 1 0 0
+add p Baryon Xi_cc++ 4422 3.460 0 0 6 1 0 492
+add p Baryon anti-Xi_cc-- -4422 3.460 0 0 -6 1 0 0
+add p Baryon Omega_cc+ 4432 3.875 0 0 3 1 0 493
+add p Baryon anti-Omega_cc- -4432 3.875 0 0 -3 1 0 0
+add p Baryon Xi_cc*+ 4414 3.520 0 0 3 1 0 494
+add p Baryon anti-Xi_cc*- -4414 3.520 0 0 -3 1 0 0
+add p Baryon Xi_cc*++ 4424 3.520 0 0 6 1 0 495
+add p Baryon anti-Xi_cc*-- -4424 3.520 0 0 -6 1 0 0
+add p Baryon Omega_cc*+ 4434 3.975 0 0 3 1 0 496
+add p Baryon anti-Omega_cc*- -4434 3.975 0 0 -3 1 0 0
+add p Baryon Omega_c0 4332 2.6975 0 0 0 1 0.019 346
+add p Baryon anti-Omega_c0 -4332 2.6975 0 0 0 1 0.019 0
+add p Baryon Omega_c*0 4334 2.8 0 0 0 3 0 376
+add p Baryon anti-Omega_c*0 -4334 2.8 0 0 0 3 0 0
+add p Baryon Omega_c(2850)0 14332 2.850 0.02 0 0 1 0 469
+add p Baryon anti-Omega_c(2850)0 -14332 2.850 0.02 0 0 1 0 0
+add p Baryon Omega_c(2900)0 14334 2.9 0.04 0 0 3 0 478
+add p Baryon anti-Omega_c(2900)0 -14334 2.9 0.04 0 0 3 0 0
+add p Baryon Sigma_b- 5112 5.80 0 0 -3 1 0 351
+add p Baryon anti-Sigma_b+ -5112 5.80 0 0 3 1 0 0
+add p Baryon Sigma_b*- 5114 5.81 0 0 -3 3 0 381
+add p Baryon anti-Sigma_b*+ -5114 5.81 0 0 3 3 0 0
+add p Baryon Lambda_b0 5122 5.624 0 0 0 1 0.368 322
+add p Baryon anti-Lambda_b0 -5122 5.625 0 0 0 1 0.368 0
+add p Baryon Xi_b- 5132 5.84 0 0 -3 1 0.40 324
+add p Baryon anti-Xi_b+ -5132 5.84 0 0 3 1 0.40 0
+add p Baryon Sigma_b0 5212 5.80 0 0 0 1 0 352
+add p Baryon anti-Sigma_b0 -5212 5.80 0 0 0 1 0 0
+add p Baryon Sigma_b*0 5214 5.81 0 0 0 3 0 382
+add p Baryon anti-Sigma_b*0 -5214 5.81 0 0 0 3 0 0
+add p Baryon Sigma_b+ 5222 5.80 0 0 3 1 0 353
+add p Baryon anti-Sigma_b- -5222 5.80 0 0 -3 1 0 0
+add p Baryon Sigma_b*+ 5224 5.81 0 0 3 3 0 383
+add p Baryon anti-Sigma_b*- -5224 5.81 0 0 -3 3 0 0
+add p Baryon Xi_b0 5232 5.84 0 0 0 1 0.40 325
+add p Baryon anti-Xi_b0 -5232 5.84 0 0 0 1 0.40 0
+add p Baryon Xi'_b- 5312 5.96 0 0 -3 1 0 354
+add p Baryon anti-Xi'_b+ -5312 5.96 0 0 3 1 0 0
+add p Baryon Xi_b*- 5314 5.97 0 0 -3 3 0 384
+add p Baryon anti-Xi_b*+ -5314 5.97 0 0 3 3 0 0
+add p Baryon Xi'_b0 5322 5.96 0 0 0 1 0 355
+add p Baryon anti-Xi'_b0 -5322 5.96 0 0 0 1 0 0
+add p Baryon Xi_b*0 5324 5.97 0 0 0 3 0 385
+add p Baryon anti-Xi_b*0 -5324 5.97 0 0 0 3 0 0
+add p Baryon Omega_b- 5332 6.12 0 0 -3 1 0.40 356
+add p Baryon anti-Omega_b+ -5332 6.12 0 0 3 1 0.40 0
+add p Baryon Omega_b*- 5334 6.13 0 0 -3 3 0 386
+add p Baryon anti-Omega_b*+ -5334 6.13 0 0 3 3 0 0
+add p DiQuark dd_0 1101 0 0 0 -2 0 0 0
+add p DiQuark anti-dd_0 -1101 0 0 0 2 0 0 0
+add p DiQuark ud_0 2101 0 0 0 1 0 0 0
+add p DiQuark anti-ud_0 -2101 0 0 0 -1 0 0 0
+add p DiQuark uu_0 2201 0 0 0 4 0 0 0
+add p DiQuark anti-uu_0 -2201 0 0 0 -4 0 0 0
+add p DiQuark sd_0 3101 0 0 0 -2 0 0 0
+add p DiQuark anti-sd_0 -3101 0 0 0 2 0 0 0
+add p DiQuark su_0 3201 0 0 0 1 0 0 0
+add p DiQuark anti-su_0 -3201 0 0 0 -1 0 0 0
+add p DiQuark ss_0 3301 0 0 0 -2 0 0 0
+add p DiQuark anti-ss_0 -3301 0 0 0 2 0 0 0
+add p DiQuark cd_0 4101 0 0 0 1 0 0 0
+add p DiQuark anti-cd_0 -4101 0 0 0 -1 0 0 0
+add p DiQuark cu_0 4201 0 0 0 4 0 0 0
+add p DiQuark anti-cu_0 -4201 0 0 0 -4 0 0 0
+add p DiQuark cs_0 4301 0 0 0 1 0 0 0
+add p DiQuark anti-cs_0 -4301 0 0 0 -1 0 0 0
+add p DiQuark cc_0 4401 0 0 0 4 0 0 0
+add p DiQuark anti-cc_0 -4401 0 0 0 -4 0 0 0
+add p DiQuark bd_0 5101 0 0 0 -2 0 0 0
+add p DiQuark anti-bd_0 -5101 0 0 0 2 0 0 0
+add p DiQuark bu_0 5201 0 0 0 1 0 0 0
+add p DiQuark anti-bu_0 -5201 0 0 0 -1 0 0 0
+add p DiQuark bs_0 5301 0 0 0 -2 0 0 0
+add p DiQuark anti-bs_0 -5301 0 0 0 2 0 0 0
+add p DiQuark bc_0 5401 0 0 0 1 0 0 0
+add p DiQuark anti-bc_0 -5401 0 0 0 -1 0 0 0
+add p DiQuark bb_0 5501 0 0 0 -2 0 0 0
+add p DiQuark anti-bb_0 -5501 0 0 0 2 0 0 0
+add p DiQuark dd_1 1103 0 0 0 -2 2 0 0
+add p DiQuark anti-dd_1 -1103 0 0 0 2 2 0 0
+add p DiQuark ud_1 2103 0 0 0 1 2 0 0
+add p DiQuark anti-ud_1 -2103 0 0 0 -1 2 0 0
+add p DiQuark uu_1 2203 0 0 0 4 2 0 0
+add p DiQuark anti-uu_1 -2203 0 0 0 -4 2 0 0
+add p DiQuark sd_1 3103 0 0 0 -2 2 0 0
+add p DiQuark anti-sd_1 -3103 0 0 0 2 2 0 0
+add p DiQuark su_1 3203 0 0 0 1 2 0 0
+add p DiQuark anti-su_1 -3203 0 0 0 -1 2 0 0
+add p DiQuark ss_1 3303 0 0 0 -2 2 0 0
+add p DiQuark anti-ss_1 -3303 0 0 0 2 2 0 0
+add p DiQuark cd_1 4103 0 0 0 1 2 0 0
+add p DiQuark anti-cd_1 -4103 0 0 0 -1 2 0 0
+add p DiQuark cu_1 4203 0 0 0 4 2 0 0
+add p DiQuark anti-cu_1 -4203 0 0 0 -4 2 0 0
+add p DiQuark cs_1 4303 0 0 0 1 2 0 0
+add p DiQuark anti-cs_1 -4303 0 0 0 -1 2 0 0
+add p DiQuark cc_1 4403 0 0 0 4 2 0 0
+add p DiQuark anti-cc_1 -4403 0 0 0 -4 2 0 0
+add p DiQuark bd_1 5103 0 0 0 -2 2 0 0
+add p DiQuark anti-bd_1 -5103 0 0 0 2 2 0 0
+add p DiQuark bu_1 5203 0 0 0 1 2 0 0
+add p DiQuark anti-bu_1 -5203 0 0 0 -1 2 0 0
+add p DiQuark bs_1 5303 0 0 0 -2 2 0 0
+add p DiQuark anti-bs_1 -5303 0 0 0 2 2 0 0
+add p DiQuark bc_1 5403 0 0 0 1 2 0 0
+add p DiQuark anti-bc_1 -5403 0 0 0 -1 2 0 0
+add p DiQuark bb_1 5503 0 0 0 -2 2 0 0
+add p DiQuark anti-bb_1 -5503 0 0 0 2 2 0 0
+add p Nucleus deuteron 1011 1.8756134 0 0 3 0 0 0
+add p Nucleus anti-deuteron -1011 1.8756134 0 0 -3 0 0 0
+add p Nucleus tritium 1021 2.80925 0 0 3 1 0 0
+add p Nucleus anti-tritium -1021 2.80925 0 0 -3 1 0 0
+add p Nucleus He3 1012 2.80923 0 0 6 1 0 0
+add p Nucleus anti-He3 -1012 2.80923 0 0 -6 1 0 0
+add p Nucleus alpha 1022 3.727417 0 0 6 0 0 0
+add p Nucleus anti-alpha -1022 3.727417 0 0 -6 0 0 0
+add p Special geantino 100 0 0 0 0 0 0 0
+add p Special chargedgeantino 101 0 0 0 3 0 0 0
+add p Meson Xsd 30343 1.6000 0.50 1.0 0 0 0 455
+add p Meson anti-Xsd -30343 1.6000 0.50 1.0 0 0 0 0
+add p Meson Xsu 30353 1.6000 0.50 1.0 3 0 0 456
+add p Meson anti-Xsu -30353 1.6000 0.50 1.0 -3 0 0 0
+add p Meson Xdd 30373 1.6000 0.50 1.0 0 0 0 458
+add p Meson anti-Xdd -30373 1.6000 0.50 1.0 0 0 0 0
+add p Meson Xdu 30383 1.6000 0.50 1.0 3 0 0 459
+add p Meson anti-Xdu -30383 1.6000 0.50 1.0 -3 0 0 0
+add p Meson Xss 30363 1.8000 0.50 1.0 0 0 0 457
+add p Meson anti-Xss -30363 1.8000 0.50 1.0 0 0 0 0
+*
+* Dummy particles for users to change properties & simulate new particles.
+* Convention for the numbers after the "dummy": charge spin_serial
+*
+add p Meson dummy00_1 51 1 0.1 1.0 0 0 0 0
+add p Meson dummy10_1 52 1 0.1 1.0 3 0 0 0
+add p Meson dummy01_1 53 1 0.1 1.0 0 2 0 0
+add p Meson dummy11_1 54 1 0.1 1.0 3 2 0 0
+add p Meson anti-dummy00_1 -51 1 0.1 1.0 0 0 0 0
+add p Meson anti-dummy10_1 -52 1 0.1 1.0 -3 0 0 0
+add p Meson anti-dummy01_1 -53 1 0.1 1.0 0 2 0 0
+add p Meson anti-dummy11_1 -54 1 0.1 1.0 -3 2 0 0
+add p Meson dummy00_2 55 1 0.1 1.0 0 0 0 0
+add p Meson dummy10_2 56 1 0.1 1.0 3 0 0 0
+add p Meson dummy01_2 57 1 0.1 1.0 0 2 0 0
+add p Meson dummy11_2 58 1 0.1 1.0 3 2 0 0
+add p Meson anti-dummy00_2 -55 1 0.1 1.0 0 0 0 0
+add p Meson anti-dummy10_2 -56 1 0.1 1.0 -3 0 0 0
+add p Meson anti-dummy01_2 -57 1 0.1 1.0 0 2 0 0
+add p Meson anti-dummy11_2 -58 1 0.1 1.0 -3 2 0 0
+
+
+
+
+* | | | | | | | | | + KC=Lund internal code
+* | | | | | | | | + T=c*lifetime (mm, alternative to W)
+* | | | | | | | + S=2*spin
+* | | | | | | + Q=3*charge
+* | | | | | + WM=max deviation from mass
+* | | | | + W=width in GeV
+* | | | + M=mass in GeV
+* | | + ID=STDHEP-ID
+* | + NAME=name to be used in printout or as char string to identify particle
+* + TYPE
+sets p e- isStable 1
+sets p e+ isStable 1
+sets p nu_e isStable 1
+sets p anti-nu_e isStable 1
+sets p mu- isStable 1
+sets p mu+ isStable 1
+sets p nu_mu isStable 1
+sets p anti-nu_mu isStable 1
+sets p nu_tau isStable 1
+sets p anti-nu_tau isStable 1
+sets p nu_L isStable 1
+sets p anti-nu_L isStable 1
+sets p gamma isStable 1
+sets p Z''0 isStable 1
+sets p Higgs'0 isStable 1
+sets p A0 isStable 1
+sets p K_L0 isStable 1
+sets p pi_diff+ isStable 1
+sets p pi_diff- isStable 1
+sets p pi+ isStable 1
+sets p pi- isStable 1
+sets p K+ isStable 1
+sets p K- isStable 1
+sets p n_diff0 isStable 1
+sets p anti-n_diff0 isStable 1
+sets p n0 isStable 1
+sets p anti-n0 isStable 1
+sets p p_diff+ isStable 1
+sets p anti-p_diff- isStable 1
+sets p p+ isStable 1
+sets p anti-p- isStable 1
+sets p geantino isStable 1
+sets p chargedgeantino isStable 1
+sets p cerenkov isStable 1
+sets p deuteron isStable 1
+sets p anti-deuteron isStable 1
+sets p tritium isStable 1
+sets p anti-tritium isStable 1
+sets p alpha isStable 1
+sets p anti-alpha isStable 1
+sets p He3 isStable 1
+sets p anti-He3 isStable 1
+end
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: Evt3Rank3C.cc
+//
+// Description: Implementation of complex 3Rank 3D tensors.
+//
+// Modification history:
+//
+// RYD September 14, 1996 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/Evt3Rank3C.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector3C.hh"
+#include "EvtGenBase/EvtTensor3C.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+
+
+Evt3Rank3C::Evt3Rank3C( const Evt3Rank3C& t1 ) {
+
+ int i,j,k;
+
+ for(i=0;i<3;i++) {
+ for(j=0;j<3;j++) {
+ for(k=0;k<3;j++) {
+ t[i][j][k] = t1.t[i][j][k];
+ }
+ }
+ }
+}
+
+Evt3Rank3C::~Evt3Rank3C() { }
+
+
+Evt3Rank3C& Evt3Rank3C::operator=(const Evt3Rank3C& t1) {
+ int i,j,k;
+
+ for(i=0;i<3;i++) {
+ for(j=0;j<3;j++) {
+ for(k=0;k<3;k++) {
+ t[i][j][k] = t1.t[i][j][k];
+ }
+ }
+ }
+ return *this;
+}
+
+
+Evt3Rank3C Evt3Rank3C::conj() const {
+ Evt3Rank3C temp;
+
+ int i,j,k;
+
+ for(i=0;i<3;i++) {
+ for(j=0;j<3;j++) {
+ for(k=0;k<3;k++) {
+ temp.set(i,j,k,::conj(t[i][j][k]));
+ }
+ }
+ }
+ return temp;
+}
+
+void Evt3Rank3C::zero(){
+ int i,j,k;
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ for(k=0;k<3;k++){
+ t[i][j][k]=EvtComplex(0.0,0.0);
+ }
+ }
+ }
+}
+
+
+Evt3Rank3C::Evt3Rank3C(){
+
+ int i,j,k;
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ for(k=0;k<3;k++){
+ t[i][j][k]=EvtComplex(0.0,0.0);
+ }
+ }
+ }
+
+}
+
+std::ostream& operator<<(std::ostream& s, const Evt3Rank3C& t2){
+ int i,j,k;
+ for(k=0;k<3;k++){
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ report(INFO,"EvtGen") <<t2.t[k][i][j];
+ }
+ report(INFO,"EvtGen") << "\n";
+ }
+ }
+ return s;
+}
+
+Evt3Rank3C& Evt3Rank3C::operator+=(const Evt3Rank3C& t2){
+
+ int i,j,k;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ for (k=0;k<3;k++) {
+ t[i][j][k]+=t2.t[i][j][k];
+ }
+ }
+ }
+ return *this;
+}
+
+Evt3Rank3C& Evt3Rank3C::operator-=(const Evt3Rank3C& t2) {
+
+ int i,j,k;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ for (k=0;k<3;k++) {
+ t[i][j][k]-=t2.t[i][j][k];
+ }
+ }
+ }
+
+ return *this;
+
+}
+
+
+Evt3Rank3C& Evt3Rank3C::operator*=(const EvtComplex& c){
+
+ int i,j,k;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ for (k=0;k<3;k++) {
+ t[i][j][k]*=c;
+ }
+ }
+ }
+ return *this;
+}
+
+Evt3Rank3C& Evt3Rank3C::operator*=(const double c){
+ int i,j,k;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ for (k=0;k<3;k++) {
+ t[i][j][k]*=c;
+ }
+ }
+ }
+
+ return *this;
+
+}
+
+Evt3Rank3C conj(const Evt3Rank3C& t2) {
+ Evt3Rank3C temp;
+
+ int i,j,k;
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ for(k=0;k<3;k++){
+ temp.t[i][j][k]=::conj(t2.t[i][j][k]);
+ }
+ }
+ }
+ return temp;
+}
+
+EvtTensor3C Evt3Rank3C::cont1(const EvtVector3C& v) const {
+ EvtTensor3C temp;
+
+ int i,k;
+
+ for(i=0;i<3;i++){
+ for(k=0;k<3;k++){
+ temp.set(i,k,t[0][i][k]*v.get(0)+t[1][i][k]*v.get(1)
+ +t[2][i][k]*v.get(2));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor3C Evt3Rank3C::cont2(const EvtVector3C& v) const {
+ EvtTensor3C temp;
+
+ int i,k;
+
+ for(i=0;i<3;i++){
+ for(k=0;k<3;k++){
+ temp.set(i,k,t[i][0][k]*v.get(0)+t[i][1][k]*v.get(1)
+ +t[i][2][k]*v.get(2));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor3C Evt3Rank3C::cont3(const EvtVector3C& v) const {
+ EvtTensor3C temp;
+
+ int i,k;
+
+ for(i=0;i<3;i++){
+ for(k=0;k<3;k++){
+ temp.set(i,k,t[i][k][0]*v.get(0)+t[i][k][1]*v.get(1)
+ +t[i][k][2]*v.get(2));
+ }
+ }
+ return temp;
+}
+
+EvtTensor3C Evt3Rank3C::cont1(const EvtVector3R& v) const {
+ EvtTensor3C temp;
+
+ int i,k;
+
+ for(i=0;i<3;i++){
+ for(k=0;k<3;k++){
+ temp.set(i,k,t[0][i][k]*v.get(0)+t[1][i][k]*v.get(1)
+ +t[2][i][k]*v.get(2));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor3C Evt3Rank3C::cont2(const EvtVector3R& v) const {
+ EvtTensor3C temp;
+
+ int i,k;
+
+ for(i=0;i<3;i++){
+ for(k=0;k<3;k++){
+ temp.set(i,k,t[i][0][k]*v.get(0)+t[i][1][k]*v.get(1)
+ +t[i][2][k]*v.get(2));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor3C Evt3Rank3C::cont3(const EvtVector3R& v) const {
+ EvtTensor3C temp;
+
+ int i,k;
+
+ for(i=0;i<3;i++){
+ for(k=0;k<3;k++){
+ temp.set(i,k,t[i][k][0]*v.get(0)+t[i][k][1]*v.get(1)
+ +t[i][k][2]*v.get(2));
+ }
+ }
+ return temp;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/Evt3Rank3C.hh
+//
+// Description:Class to handle complex 3rd rank 3D tensors
+//
+// Modification history:
+//
+// RYD September 14, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVT3RANK3C_HH
+#define EVT3RANK3C_HH
+
+#include <iostream>
+#include "EvtGenBase/EvtComplex.hh"
+
+class EvtTensor3C;
+class EvtVector3C;
+class EvtVector3R;
+
+
+class Evt3Rank3C ;
+inline Evt3Rank3C operator*(const EvtComplex& c,const Evt3Rank3C& t2);
+inline Evt3Rank3C operator*(const double d,const Evt3Rank3C& t2);
+inline Evt3Rank3C operator*(const Evt3Rank3C& t2,const EvtComplex& c);
+inline Evt3Rank3C operator*(const Evt3Rank3C& t2,const double d);
+inline Evt3Rank3C operator+(const Evt3Rank3C& t1,const Evt3Rank3C& t2);
+inline Evt3Rank3C operator-(const Evt3Rank3C& t1,const Evt3Rank3C& t2);
+Evt3Rank3C directProd(const EvtVector3C& c1,const EvtVector3C& c2,
+ const EvtVector3C& c3);
+Evt3Rank3C conj(const Evt3Rank3C& t2);
+
+Evt3Rank3C directProd(const EvtVector3C& c1,const EvtVector3C& c2,
+ const EvtVector3C& c3);
+
+
+class Evt3Rank3C {
+
+ friend Evt3Rank3C operator*(const EvtComplex& c,const Evt3Rank3C& t2);
+ friend Evt3Rank3C operator*(const double d,const Evt3Rank3C& t2);
+ friend Evt3Rank3C operator*(const Evt3Rank3C& t2,const EvtComplex& c);
+ friend Evt3Rank3C operator*(const Evt3Rank3C& t2,const double d);
+ friend Evt3Rank3C operator+(const Evt3Rank3C& t1,const Evt3Rank3C& t2);
+ friend Evt3Rank3C operator-(const Evt3Rank3C& t1,const Evt3Rank3C& t2);
+ friend Evt3Rank3C directProd(const EvtVector3C& c1,const EvtVector3C& c2,
+ const EvtVector3C& c3);
+ friend Evt3Rank3C conj(const Evt3Rank3C& t2);
+
+ friend std::ostream& operator<<(std::ostream& s, const Evt3Rank3C& t2);
+
+public:
+ Evt3Rank3C();
+ Evt3Rank3C(const Evt3Rank3C& t1 );
+ virtual ~Evt3Rank3C();
+ Evt3Rank3C& operator=(const Evt3Rank3C& t1);
+ inline void set(int i,int j,int k,const EvtComplex& c);
+ inline const EvtComplex& get(int i, int j, int k) const;
+ void zero();
+
+
+ Evt3Rank3C& operator+=(const Evt3Rank3C& t2);
+ Evt3Rank3C& operator-=(const Evt3Rank3C& t2);
+ Evt3Rank3C& operator*=(const double d);
+ Evt3Rank3C& operator*=(const EvtComplex& c);
+ Evt3Rank3C conj() const;
+ EvtTensor3C cont1(const EvtVector3C& v) const;
+ EvtTensor3C cont2(const EvtVector3C& v) const;
+ EvtTensor3C cont3(const EvtVector3C& v) const;
+ EvtTensor3C cont1(const EvtVector3R& v) const;
+ EvtTensor3C cont2(const EvtVector3R& v) const;
+ EvtTensor3C cont3(const EvtVector3R& v) const;
+
+
+private:
+
+ EvtComplex t[3][3][3];
+
+};
+
+
+inline Evt3Rank3C operator*(const EvtComplex& c,const Evt3Rank3C& t2){
+ return Evt3Rank3C(t2)*=c;
+}
+
+inline Evt3Rank3C operator*(const double d,const Evt3Rank3C& t2){
+ return Evt3Rank3C(t2)*=d;
+}
+
+inline Evt3Rank3C operator*(const Evt3Rank3C& t2,const EvtComplex& c){
+ return Evt3Rank3C(t2)*=c;
+}
+
+inline Evt3Rank3C operator*(const Evt3Rank3C& t2,const double d){
+ return Evt3Rank3C(t2)*=d;
+}
+
+inline Evt3Rank3C operator+(const Evt3Rank3C& t1,const Evt3Rank3C& t2){
+ return Evt3Rank3C(t1)+=t2;
+}
+
+inline Evt3Rank3C operator-(const Evt3Rank3C& t1,const Evt3Rank3C& t2){
+ return Evt3Rank3C(t1)-=t2;
+}
+
+inline void Evt3Rank3C::set(int i,int j,int k,const EvtComplex& c){
+ t[i][j][k]=c;
+}
+
+inline const EvtComplex& Evt3Rank3C::get(int i,int j,int k) const{
+ return t[i][j][k];
+}
+
+
+#endif
+
+
--- /dev/null
+/*****************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtAbsBinning.hh,v 1.1 2003/05/02 21:41:08 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *****************************************************************************/
+
+/*
+ * Data point to bin value mapping
+ */
+
+#ifndef EVT_ABS_BINNING_HH
+#define EVT_ABS_BINNING_HH
+#define BIN_OUTSIDE -1
+
+#include <stdio.h>
+
+template <class T> class EvtAbsBinning {
+public:
+
+ EvtAbsBinning()
+ {}
+ EvtAbsBinning(const EvtAbsBinning<T>& other)
+ {}
+ virtual ~EvtAbsBinning()
+ {}
+
+ virtual EvtAbsBinning<T>* clone() const = 0;
+ virtual int getBin(const T& point) const = 0;
+ virtual T getBinPoint(int bin) const = 0;
+ virtual double size(int bin) const = 0;
+
+ virtual int nTypes() const = 0;
+
+ virtual char* typeLabel(int i) const
+ {
+ char* a = new char[128];
+ sprintf(a,"%d",i);
+ return a;
+ }
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtLineShape.cc
+//
+// Description: Store particle properties for one particle.
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <stdlib.h>
+#include <ctype.h>
+#include <math.h>
+#include "EvtGenBase/EvtAbsLineShape.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtPropBreitWigner.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+using namespace std;
+
+EvtAbsLineShape::EvtAbsLineShape() {
+}
+
+EvtAbsLineShape::~EvtAbsLineShape() {
+}
+
+EvtAbsLineShape::EvtAbsLineShape(double mass, double width, double maxRange, EvtSpinType::spintype sp) {
+
+ _includeDecayFact = false;
+ _includeBirthFact = false;
+ _applyFixForSP8 = false;
+ _mass=mass;
+ _width=width;
+ _spin=sp;
+ _maxRange=maxRange;
+ double maxdelta=15.0*width;
+ //if ( width>0.001 ) {
+ // if ( 5.0*width < 0.6 ) maxdelta = 0.6;
+ //}
+ if ( maxRange > 0.00001 ) {
+ _massMax=mass+maxdelta;
+ _massMin=mass-maxRange;
+ }
+ else{
+ _massMax=mass+maxdelta;
+ _massMin=mass-15.0*width;
+ }
+ if ( _massMin< 0. ) _massMin=0.;
+ _massMax=mass+maxdelta;
+}
+
+EvtAbsLineShape::EvtAbsLineShape(const EvtAbsLineShape& x){
+
+ _includeDecayFact = x._includeDecayFact;
+ _includeBirthFact = x._includeBirthFact;
+ _mass=x._mass;
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _width=x._width;
+ _spin=x._spin;
+ _maxRange=x._maxRange;
+ _applyFixForSP8 = x._applyFixForSP8;
+}
+
+EvtAbsLineShape& EvtAbsLineShape::operator=(const EvtAbsLineShape& x){
+
+ _includeDecayFact = x._includeDecayFact;
+ _includeBirthFact = x._includeBirthFact;
+ _mass=x._mass;
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _width=x._width;
+ _spin=x._spin;
+ _maxRange=x._maxRange;
+ _applyFixForSP8 = x._applyFixForSP8;
+ return *this;
+}
+
+EvtAbsLineShape* EvtAbsLineShape::clone() {
+
+ return new EvtAbsLineShape(*this);
+}
+
+
+double EvtAbsLineShape::rollMass() {
+
+ double ymin, ymax;
+ double temp;
+
+ if ( _width < 0.0001 ) {
+ return _mass;
+ }
+ else{
+ ymin = atan( 2.0*(_massMin-_mass)/_width);
+ ymax = atan( 2.0*(_massMax-_mass)/_width);
+
+ temp= ( _mass + ((_width/2.0)*tan(EvtRandom::Flat(ymin,ymax))));
+
+ return temp;
+ }
+}
+double EvtAbsLineShape::getRandMass(EvtId *parId, int nDaug, EvtId *dauId, EvtId *othDaugId, double maxMass, double *dauMasses) {
+
+ if ( _width< 0.0001) return _mass;
+ //its not flat - but generated according to a BW
+
+ if (maxMass>0&&maxMass<_massMin) {
+ report(ERROR,"EvtGen") << "In EvtAbsLineShape::getRandMass"<<endl;
+ report(ERROR,"EvtGen") << "Decaying particle "<<EvtPDL::name(*parId)
+ << " with mass "<<maxMass<<endl;
+ report(ERROR,"EvtGen") << " to particle"
+ << " with a minimal mass of "<< _massMin<<endl;
+ }
+
+ double mMin=_massMin;
+ double mMax=_massMax;
+ if ( maxMass>-0.5 && maxMass< mMax) mMax=maxMass;
+ double ymin = atan( 2.0*(mMin-_mass)/_width);
+ double ymax = atan( 2.0*(mMax-_mass)/_width);
+
+ return ( _mass + ((_width/2.0)*tan(EvtRandom::Flat(ymin,ymax))));
+ // return EvtRandom::Flat(_massMin,_massMax);
+}
+
+double EvtAbsLineShape::getMassProb(double mass, double massPar, int nDaug, double *massDau) {
+
+ double dTotMass=0.;
+ if ( nDaug>1) {
+ int i;
+ for (i=0; i<nDaug; i++) {
+ dTotMass+=massDau[i];
+ }
+ //report(INFO,"EvtGen") << mass << " " << massPar << " " << dTotMass << " "<< endl;
+ // if ( (mass-dTotMass)<0.0001 ) return 0.;
+ if ( (mass<dTotMass) ) return 0.;
+ }
+ if ( _width< 0.0001) return 1.;
+
+ // no parent - lets not panic
+ if ( massPar>0.0000000001 ) {
+ if ( mass > massPar) return 0.;
+ }
+ //Otherwise return the right value.
+ //Fortunately we have generated events according to a non-rel BW, so
+ //just return..
+ //EvtPropBreitWigner bw(_mass,_width);
+ //EvtPropFactor<EvtTwoBodyVertex> f(bw);
+ //EvtComplex fm=f.eval(mass);
+ //EvtComplex fm0=f.eval(_mass);
+ //return (abs(fm)*abs(fm))/(abs(fm0)*abs(fm0));
+ return 1.0;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtAbsLineShape.hh
+//
+// Description: Class to keep the particle properties for
+// one particle
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTABSLINESHAPE_HH
+#define EVTABSLINESHAPE_HH
+
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <vector>
+
+class EvtId;
+
+class EvtAbsLineShape {
+
+public:
+
+ EvtAbsLineShape();
+ EvtAbsLineShape(double mass, double width, double maxRange, EvtSpinType::spintype sp);
+ virtual ~EvtAbsLineShape();
+ EvtAbsLineShape& operator=(const EvtAbsLineShape& x);
+ EvtAbsLineShape(const EvtAbsLineShape& x);
+
+ double getMass() {return _mass;}
+ double getMassMin() {return _massMin;}
+ double getMassMax() {return _massMax;}
+ double getMaxRange() {return _maxRange;}
+ double getWidth() {return _width;}
+ EvtSpinType::spintype getSpinType() {return _spin;}
+ virtual double rollMass();
+ virtual EvtAbsLineShape* clone();
+
+ void reSetMass(double mass) { _mass=mass;}
+ void reSetWidth(double width) { _width=width;}
+ void reSetMassMin(double mass) { _massMin=mass;}
+ void reSetMassMax(double mass) { _massMax=mass;}
+ virtual void reSetBlatt(double blatt) {};
+ void includeBirthFactor(bool yesno) { _includeBirthFact = yesno; }
+ void includeDecayFactor(bool yesno) { _includeDecayFact = yesno; }
+ void setPWForDecay( int spin, EvtId d1, EvtId d2) {
+ _userSetPW.push_back(spin);
+ _userSetPWD1.push_back(d1);
+ _userSetPWD2.push_back(d2);
+ }
+ void setPWForBirthL( int spin, EvtId par, EvtId othD) {
+ _userSetBirthPW.push_back(spin);
+ _userSetBirthOthD.push_back(othD);
+ _userSetBirthPar.push_back(par);
+ }
+
+ virtual double getRandMass(EvtId *parId, int nDaug, EvtId *dauId, EvtId *othDaugId,double maxMass, double *dauMasses);
+ virtual double getMassProb(double mass, double massPar, int nDaug, double *massDau);
+
+ void fixForSP8() { _applyFixForSP8=true;}
+protected:
+
+ bool _includeDecayFact;
+ bool _includeBirthFact;
+ double _mass;
+ double _massMin;
+ double _massMax;
+ double _width;
+ double _maxRange;
+
+ // allow for special cases where the default method of picking the
+ //lowest allowed partial wave for a decay is not the right answer.
+ // string is "<spin> <daughter1> <daughter2>"
+ //new 9/12/2003 Lange
+ std::vector<EvtId> _userSetPWD1,_userSetPWD2;
+ std::vector<int> _userSetPW;
+
+ // also do it for birth factors
+ std::vector<EvtId> _userSetBirthPar,_userSetBirthOthD;
+ std::vector<int> _userSetBirthPW;
+
+ EvtSpinType::spintype _spin;
+
+ bool _applyFixForSP8;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenBase/EvtAbsRadCorr.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Lange April 25, 2002 - Created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTABSRADCORR_HH
+#define EVTABSRADCORR_HH
+
+#include <assert.h>
+#include <iostream>
+class EvtParticle;
+
+class EvtAbsRadCorr {
+
+public:
+
+ virtual ~EvtAbsRadCorr() {}
+ virtual void doRadCorr(EvtParticle *p)=0;
+
+
+private:
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtAmp.cc
+//
+// Description: Class to manipulate the amplitudes in the decays.
+//
+// Modification history:
+//
+// RYD May 29, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtSpinDensity.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtParticle.hh"
+using std::endl;
+
+
+
+EvtAmp::EvtAmp(){
+ _ndaug=0;
+ _pstates=0;
+ _nontrivial=0;
+}
+
+
+EvtAmp::EvtAmp(const EvtAmp& amp){
+
+ int i;
+
+ _ndaug=amp._ndaug;
+ _pstates=amp._pstates;
+ for(i=0;i<_ndaug;i++){
+ dstates[i]=amp.dstates[i];
+ _dnontrivial[i]=amp._dnontrivial[i];
+ }
+ _nontrivial=amp._nontrivial;
+
+ int namp=1;
+
+ for(i=0;i<_nontrivial;i++){
+ _nstate[i]=amp._nstate[i];
+ namp*=_nstate[i];
+ }
+
+ for(i=0;i<namp;i++){
+ assert(i<125);
+ _amp[i]=amp._amp[i];
+ }
+
+}
+
+
+
+void EvtAmp::init(EvtId p,int ndaugs,EvtId *daug){
+ setNDaug(ndaugs);
+ int ichild;
+ int daug_states[100],parstates;
+ for(ichild=0;ichild<ndaugs;ichild++){
+
+ daug_states[ichild]=
+ EvtSpinType::getSpinStates(EvtPDL::getSpinType(daug[ichild]));
+
+ }
+
+ parstates=EvtSpinType::getSpinStates(EvtPDL::getSpinType(p));
+
+ setNState(parstates,daug_states);
+
+}
+
+
+
+
+void EvtAmp::setNDaug(int n){
+ _ndaug=n;
+}
+
+void EvtAmp::setNState(int parent_states,int *daug_states){
+
+ _nontrivial=0;
+ _pstates=parent_states;
+
+ if(_pstates>1) {
+ _nstate[_nontrivial]=_pstates;
+ _nontrivial++;
+ }
+
+ int i;
+
+ for(i=0;i<_ndaug;i++){
+ dstates[i]=daug_states[i];
+ _dnontrivial[i]=-1;
+ if(daug_states[i]>1) {
+ _nstate[_nontrivial]=daug_states[i];
+ _dnontrivial[i]=_nontrivial;
+ _nontrivial++;
+ }
+ }
+
+ if (_nontrivial>5) {
+ report(ERROR,"EvtGen") << "Too many nontrivial states in EvtAmp!"<<endl;
+ }
+
+}
+
+void EvtAmp::setAmp(int *ind, const EvtComplex& a){
+
+ int nstatepad = 1;
+ int position = ind[0];
+
+ for ( int i=1; i<_nontrivial; i++ ) {
+ nstatepad *= _nstate[i-1];
+ position += nstatepad*ind[i];
+ }
+ assert(position<125);
+ _amp[position] = a;
+
+}
+
+const EvtComplex& EvtAmp::getAmp(int *ind)const{
+
+ int nstatepad = 1;
+ int position = ind[0];
+
+ for ( int i=1; i<_nontrivial; i++ ) {
+ nstatepad *= _nstate[i-1];
+ position += nstatepad*ind[i];
+ }
+
+ return _amp[position];
+}
+
+
+EvtSpinDensity EvtAmp::getSpinDensity(){
+
+ EvtSpinDensity rho;
+ rho.setDim(_pstates);
+
+ EvtComplex temp;
+
+ int i,j,n;
+
+ if (_pstates==1) {
+
+ if (_nontrivial==0) {
+
+ rho.set(0,0,_amp[0]*conj(_amp[0]));
+ return rho;
+
+ }
+
+ n=1;
+
+ temp = EvtComplex(0.0);
+
+ for(i=0;i<_nontrivial;i++){
+ n*=_nstate[i];
+ }
+
+ for(i=0;i<n;i++){
+ temp+=_amp[i]*conj(_amp[i]);
+ }
+
+ rho.set(0,0,temp);;
+
+ return rho;
+
+ }
+
+ else{
+
+ for(i=0;i<_pstates;i++){
+ for(j=0;j<_pstates;j++){
+
+ temp = EvtComplex(0.0);
+
+ int kk;
+
+ int allloop = 1;
+ for (kk=0;kk<(_nontrivial-1); kk++ ) {
+ allloop *= dstates[kk];
+ }
+
+ for (kk=0; kk<allloop; kk++) {
+ temp += _amp[_pstates*kk+i]*conj(_amp[_pstates*kk+j]);}
+
+ // if (_nontrivial>3){
+ //report(ERROR,"EvtGen") << "Can't handle so many states in EvtAmp!"<<endl;
+ //}
+
+ rho.set(i,j,temp);
+
+ }
+ }
+ return rho;
+ }
+
+}
+
+
+EvtSpinDensity EvtAmp::getBackwardSpinDensity(EvtSpinDensity *rho_list){
+
+ EvtSpinDensity rho;
+
+ rho.setDim(_pstates);
+
+ if (_pstates==1){
+ rho.set(0,0,EvtComplex(1.0,0.0));
+ return rho;
+ }
+
+ int k;
+
+ EvtAmp ampprime;
+
+ ampprime=(*this);
+
+ for(k=0;k<_ndaug;k++){
+
+ if (dstates[k]!=1){
+ ampprime=ampprime.contract(_dnontrivial[k],rho_list[k+1]);
+ }
+ }
+
+ return ampprime.contract(0,(*this));
+
+}
+
+
+EvtSpinDensity EvtAmp::getForwardSpinDensity(EvtSpinDensity *rho_list,int i){
+
+ EvtSpinDensity rho;
+
+ rho.setDim(dstates[i]);
+
+ int k;
+
+ if (dstates[i]==1) {
+
+ rho.set(0,0,EvtComplex(1.0,0.0));
+
+ return rho;
+
+ }
+
+ EvtAmp ampprime;
+
+ ampprime=(*this);
+
+ if (_pstates!=1){
+ ampprime=ampprime.contract(0,rho_list[0]);
+ }
+
+ for(k=0;k<i;k++){
+
+ if (dstates[k]!=1){
+ ampprime=ampprime.contract(_dnontrivial[k],rho_list[k+1]);
+ }
+
+ }
+
+ return ampprime.contract(_dnontrivial[i],(*this));
+
+}
+
+EvtAmp EvtAmp::contract(int k,const EvtSpinDensity& rho){
+
+ EvtAmp temp;
+
+ int i,j;
+ temp._ndaug=_ndaug;
+ temp._pstates=_pstates;
+ temp._nontrivial=_nontrivial;
+
+ for(i=0;i<_ndaug;i++){
+ temp.dstates[i]=dstates[i];
+ temp._dnontrivial[i]=_dnontrivial[i];
+ }
+
+ if (_nontrivial==0) {
+ report(ERROR,"EvtGen")<<"Should not be here EvtAmp!"<<endl;
+ }
+
+
+ for(i=0;i<_nontrivial;i++){
+ temp._nstate[i]=_nstate[i];
+ }
+
+
+ EvtComplex c;
+
+ int index[10];
+ for (i=0;i<10;i++) {
+ index[i] = 0;
+ }
+
+ int allloop = 1;
+ int indflag,ii;
+ for (i=0;i<_nontrivial;i++) {
+ allloop *= _nstate[i];
+ }
+
+ for ( i=0;i<allloop;i++) {
+
+ c = EvtComplex(0.0);
+ int tempint = index[k];
+ for (j=0;j<_nstate[k];j++) {
+ index[k] = j;
+ c+=rho.get(j,tempint)*getAmp(index);
+ }
+ index[k] = tempint;
+
+ temp.setAmp(index,c);
+
+ indflag = 0;
+ for ( ii=0;ii<_nontrivial;ii++) {
+ if ( indflag == 0 ) {
+ if ( index[ii] == (_nstate[ii]-1) ) {
+ index[ii] = 0;
+ }
+ else {
+ indflag = 1;
+ index[ii] += 1;
+ }
+ }
+ }
+
+ }
+ return temp;
+
+}
+
+
+EvtSpinDensity EvtAmp::contract(int k,const EvtAmp& amp2){
+
+ int i,j,l;
+
+ EvtComplex temp;
+ EvtSpinDensity rho;
+
+ rho.setDim(_nstate[k]);
+
+ int allloop = 1;
+ int indflag,ii;
+ for (i=0;i<_nontrivial;i++) {
+ allloop *= _nstate[i];
+ }
+
+ int index[10];
+ int index1[10];
+ // int l;
+ for(i=0;i<_nstate[k];i++){
+
+ for(j=0;j<_nstate[k];j++){
+ if (_nontrivial==0) {
+ report(ERROR,"EvtGen")<<"Should not be here1 EvtAmp!"<<endl;
+ rho.set(0,0,EvtComplex(1.0,0.0));
+ return rho;
+ }
+
+ for (ii=0;ii<10;ii++) {
+ index[ii] = 0;
+ index1[ii] = 0;
+ }
+ index[k] = i;
+ index1[k] = j;
+
+ temp = EvtComplex(0.0);
+
+ for ( l=0;l<int(allloop/_nstate[k]);l++) {
+
+ temp+=getAmp(index)*conj(amp2.getAmp(index1));
+ indflag = 0;
+ for ( ii=0;ii<_nontrivial;ii++) {
+ if ( ii!= k) {
+ if ( indflag == 0 ) {
+ if ( index[ii] == (_nstate[ii]-1) ) {
+ index[ii] = 0;
+ index1[ii] = 0;
+ }
+ else {
+ indflag = 1;
+ index[ii] += 1;
+ index1[ii] += 1;
+ }
+ }
+ }
+ }
+ }
+ rho.set(i,j,temp);
+
+ }
+ }
+
+ return rho;
+}
+
+
+EvtAmp EvtAmp::contract(int i, const EvtAmp& a1,const EvtAmp& a2){
+
+ //Do we need this method?
+
+ assert(a2._pstates>1&&a2._nontrivial==1);
+ assert(i<=a1._nontrivial);
+
+ EvtAmp tmp;
+ report(DEBUG,"EvtGen") << "EvtAmp::contract not written yet" << endl;
+ return tmp;
+
+}
+
+
+void EvtAmp::dump(){
+
+ int i,list[10];
+
+ report(DEBUG,"EvtGen") << "Number of daugthers:"<<_ndaug<<endl;
+ report(DEBUG,"EvtGen") << "Number of states of the parent:"<<_pstates<<endl;
+ report(DEBUG,"EvtGen") << "Number of states on daughters:";
+ for (i=0;i<_ndaug;i++){
+ report(DEBUG,"EvtGen") <<dstates[i]<<" ";
+ }
+ report(DEBUG,"EvtGen") << endl;
+ report(DEBUG,"EvtGen") << "Nontrivial index of daughters:";
+ for (i=0;i<_ndaug;i++){
+ report(DEBUG,"EvtGen") <<_dnontrivial[i]<<" ";
+ }
+ report(DEBUG,"EvtGen") <<endl;
+ report(DEBUG,"EvtGen") <<"number of nontrivial states:"<<_nontrivial<<endl;
+ report(DEBUG,"EvtGen") << "Nontrivial particles number of states:";
+ for (i=0;i<_nontrivial;i++){
+ report(DEBUG,"EvtGen") <<_nstate[i]<<" ";
+ }
+ report(DEBUG,"EvtGen") <<endl;
+ report(DEBUG,"EvtGen") <<"Amplitudes:"<<endl;
+ if (_nontrivial==0){
+ list[0] = 0;
+ report(DEBUG,"EvtGen") << getAmp(list) << endl;
+ }
+
+ int allloop[10];
+ allloop[0]=1;
+ for (i=0;i<_nontrivial;i++) {
+ if (i==0){
+ allloop[i] *= _nstate[i];
+ }
+ else{
+ allloop[i] = allloop[i-1]*_nstate[i];
+ }
+ }
+ int index = 0;
+ for (i=0;i<allloop[_nontrivial-1];i++) {
+ report(DEBUG,"EvtGen") << getAmp(list) << " ";
+ if ( i==allloop[index]-1 ) {
+ index ++;
+ report(DEBUG,"EvtGen") << endl;
+ }
+ }
+
+ report(DEBUG,"EvtGen") << "-----------------------------------"<<endl;
+
+}
+
+
+void EvtAmp::vertex(const EvtComplex& c){
+ int list[1];
+ list[0] = 0;
+ setAmp(list,c);
+}
+
+void EvtAmp::vertex(int i,const EvtComplex& c){
+ int list[1];
+ list[0] = i;
+ setAmp(list,c);
+}
+
+void EvtAmp::vertex(int i,int j,const EvtComplex& c){
+ int list[2];
+ list[0] = i;
+ list[1] = j;
+ setAmp(list,c);
+}
+
+void EvtAmp::vertex(int i,int j,int k,const EvtComplex& c){
+ int list[3];
+ list[0] = i;
+ list[1] = j;
+ list[2] = k;
+ setAmp(list,c);
+}
+
+void EvtAmp::vertex(int *i1,const EvtComplex& c){
+
+ setAmp(i1,c);
+}
+
+
+EvtAmp& EvtAmp::operator=(const EvtAmp& amp){
+
+ int i;
+
+ _ndaug=amp._ndaug;
+ _pstates=amp._pstates;
+ for(i=0;i<_ndaug;i++){
+ dstates[i]=amp.dstates[i];
+ _dnontrivial[i]=amp._dnontrivial[i];
+ }
+ _nontrivial=amp._nontrivial;
+
+ int namp=1;
+
+ for(i=0;i<_nontrivial;i++){
+ _nstate[i]=amp._nstate[i];
+ namp*=_nstate[i];
+ }
+
+ for(i=0;i<namp;i++){
+ assert(i<125);
+ _amp[i]=amp._amp[i];
+ }
+
+ return *this;
+}
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtAmp.hh
+//
+// Description:This is the (new) amplitude class.
+//
+// Modification history:
+//
+// DJL/RYD May 29, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTAMP_HH
+#define EVTAMP_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPatches.hh"
+
+class EvtSpinDensity;
+class EvtId;
+
+class EvtAmp {
+
+public:
+
+ EvtAmp();
+ EvtAmp(const EvtAmp& amp);
+
+ void init(EvtId p,int ndaug,EvtId *daug);
+
+ void setAmp(int *ind,const EvtComplex& amp);
+
+ const EvtComplex& getAmp(int *ind)const;
+
+ EvtSpinDensity getSpinDensity();
+
+ EvtSpinDensity contract(int i,const EvtAmp& a);
+ EvtAmp contract(int i, const EvtSpinDensity& rho);
+
+ //sum over the i:th daugther of a1 and contract with parent of a2
+ EvtAmp contract(int i, const EvtAmp& a1,const EvtAmp& a2);
+
+
+ EvtSpinDensity getForwardSpinDensity(EvtSpinDensity *rho_list,int k);
+ EvtSpinDensity getBackwardSpinDensity(EvtSpinDensity *rho_list);
+
+ EvtAmp& operator=(const EvtAmp& amp);
+
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(const EvtComplex& amp);
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int i1, const EvtComplex& amp);
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int i1, int i2, const EvtComplex& amp);
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int i1, int i2, int i3, const EvtComplex& amp);
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int *i1, const EvtComplex& amp);
+
+
+ void dump();
+
+private:
+
+ friend class EvtDecayAmp;
+ friend class EvtKstarstargamma;
+
+ void setNDaug(int n);
+ void setNState(int parent_states,int *daug_states);
+
+ // the amplitudes
+ EvtComplex _amp[125];
+
+ // the number of daughters
+ int _ndaug;
+
+ // the number of states of the parent
+ int _pstates;
+
+ // number of states of the daughter
+ int dstates[10];
+
+ // the nontrivial index of the daughter
+ int _dnontrivial[10];
+
+ // number of nontrivial daugts+parent
+ int _nontrivial;
+
+ // compact nstates
+ int _nstate[5];
+
+};
+
+
+#endif
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtAmpAmpPdf.hh,v 1.2 2003/06/20 17:19:59 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#ifndef EVT_AMP_AMP_PDF_HH
+#define EVT_AMP_AMP_PDF_HH
+
+// From the product A1A2* four PDF terms can be constructed, by taking the positive
+// and the negative parts or the real and imaginary part of the product.
+
+#include <assert.h>
+#include "EvtGenBase/EvtMacros.hh"
+#include "EvtGenBase/EvtAmplitude.hh"
+#include "EvtGenBase/EvtPdf.hh"
+
+enum {POSRE=0,NEGRE,POSIM,NEGIM};
+
+template <class T>
+class EvtAmpAmpPdf : public EvtPdf<T> {
+public:
+
+ EvtAmpAmpPdf() {}
+ EvtAmpAmpPdf(int type, const EvtAmplitude<T>& amp1, const EvtAmplitude<T>& amp2)
+ : EvtPdf<T>(), _type(type), _amp1(amp1.clone()), _amp2(amp2.clone())
+ {}
+ EvtAmpAmpPdf(const EvtAmpAmpPdf<T>& other)
+ : EvtPdf<T>(other), _type(other._type), COPY_PTR(_amp1), COPY_PTR(_amp2)
+ {}
+ virtual ~EvtAmpAmpPdf()
+ {
+ delete _amp1;
+ delete _amp2;
+ }
+
+ virtual EvtAmpAmpPdf<T>* clone() const { return new EvtAmpAmpPdf(*this); }
+
+ virtual double pdf(const T& p) const
+ {
+ EvtComplex amp1 = _amp1->evaluate(p);
+ EvtComplex amp2 = _amp2->evaluate(p);
+ EvtComplex pr = amp1 * conj(amp2);
+
+ if(_type == POSRE) return real(pr) > 0 ? real(pr) : 0.;
+ if(_type == NEGRE) return real(pr) < 0 ? -real(pr) : 0.;
+ if(_type == POSIM) return imag(pr) > 0 ? imag(pr) : 0.;
+ if(_type == NEGIM) return imag(pr) < 0 ? -imag(pr) : 0.;
+
+ assert(0);
+ }
+
+private:
+
+ int _type;
+ EvtAmplitude<T>* _amp1;
+ EvtAmplitude<T>* _amp2;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Alexei Dvoretskii 2001-2002
+//------------------------------------------------------------------------
+
+// Abstract amplitude factory parameterized by a vector of
+// strings. Derived classes construct the amplitude, and PDFs for sampling
+// points.
+
+#ifndef EVT_AMP_FACTORY_HH
+#define EVT_AMP_FACTORY_HH
+
+#include <vector>
+#include <string>
+#include <stdio.h>
+#include "EvtGenBase/EvtAmplitudeSum.hh"
+#include "EvtGenBase/EvtPdfSum.hh"
+#include "EvtGenBase/EvtMultiChannelParser.hh"
+#include "EvtGenBase/EvtAmpPdf.hh"
+#include "EvtGenBase/EvtPdfMax.hh"
+#include "EvtGenBase/EvtMacros.hh"
+
+template <class T>
+class EvtAmpFactory {
+public:
+
+ EvtAmpFactory()
+ : _amp(0), _ampConj(0), _pc(0), _dm(0.), _verbose(false)
+ {}
+
+ EvtAmpFactory(const EvtAmpFactory<T>& other)
+ :
+ _amp(other._amp ? (EvtAmplitudeSum<T>*) other._amp : 0),
+ _ampConj(other._ampConj ? (EvtAmplitudeSum<T>*) other._ampConj : 0),
+ _pc(other._pc ? (EvtPdfSum<T>*) other._pc : 0),
+ _dm(other._dm),
+ _verbose(other._verbose)
+ {}
+
+ virtual ~EvtAmpFactory()
+ {
+ if(_amp) delete _amp;
+ if(_ampConj) delete _ampConj;
+ if(_pc) delete _pc;
+ }
+
+ virtual EvtAmpFactory<T>* clone() const = 0;
+
+ virtual void build(const EvtMultiChannelParser& parser, int nItg)
+ {
+ _amp = new EvtAmplitudeSum<T>();
+ _ampConj = new EvtAmplitudeSum<T>();
+ _pc = new EvtPdfSum<T>();
+ _dm = parser.dm();
+ _mixAmpli = parser.mixAmpli();
+ _mixPhase = parser.mixPhase();
+
+ printf("Amplitude with %d terms\n",parser.getNAmp());
+ int i;
+ for(i=0;i<parser.getNAmp();i++) {
+
+ std::vector<std::string> v = parser.amp(i);
+ EvtComplex c = parser.ampCoef(i);
+ processAmp(c,v);
+ }
+
+ printf("Conj. amplitude with %d terms\n",parser.getNAmpConj());
+ for(i=0;i<parser.getNAmpConj();i++) {
+
+ std::vector<std::string> v = parser.ampConj(i);
+ EvtComplex c = parser.ampConjCoef(i);
+ processAmp(c,v,true);
+ }
+
+ printf("Calculating pole compensator integrals %d steps\n",nItg);
+ if(nItg > 0) _pc->getItg(nItg);
+
+ printf("End build\n");
+ }
+
+ virtual void processAmp(EvtComplex c, std::vector<std::string> v, bool conj = false) = 0;
+
+ inline bool isCPModel() const { return (_ampConj->nTerms() > 0 ? true : false); }
+ inline double dm() const { return _dm; }
+ inline double mixAmpli() const { return _mixAmpli; }
+ inline double mixPhase() const { return _mixPhase; }
+
+ void setVerbose() { _verbose = true; }
+
+
+ EvtAmplitudeSum<T>* getAmp() const { return _amp; }
+ EvtAmplitudeSum<T>* getAmpConj() const { return _ampConj; }
+ EvtPdfSum<T>* getPC() const { return _pc; }
+ EvtAmplitude<T>* getAmp(int i) const { return _amp->getTerm(i); }
+ EvtPdf<T>* getPC(int i) const { return _pc->getPdf(i); }
+ const char* compName(int i) const { return _names[i].c_str(); }
+
+ EvtComplex getCoeff(int i) const { return _amp->c(i); }
+
+ double getTermCoeff(int i) const { return abs2(_amp->c(i)); }
+ double getTermCoeff(int type, int i, int j) const
+ {
+ switch(type) {
+
+ case 0: return 2*real(_amp->c(i)*conj(_amp->c(j))); //posre
+ case 1: return -2*real(_amp->c(i)*conj(_amp->c(j))); //negre
+ case 2: return -2*imag(_amp->c(i)*conj(_amp->c(j))); //posim
+ case 3: return 2*imag(_amp->c(i)*conj(_amp->c(j))); //negim
+ default: assert(0);
+ }
+ }
+
+protected:
+
+ EvtAmplitudeSum<T> *_amp; // _owned_ amplitude
+ EvtAmplitudeSum<T> *_ampConj; // _owned_ conjugate amplitude
+ EvtPdfSum<T> *_pc; // _owned_ pole compensator
+ std::vector<std::string> _names; // names of partial amplitudes
+
+ double _dm; // Mass difference for conjugate amplitude
+ double _mixPhase;// mixing phase
+ double _mixAmpli;// cpv in mixing
+ bool _verbose;
+};
+
+
+#endif
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech
+//
+// Module: EvtAmp.cc
+//
+// Description: Class to manipulate the amplitudes in the decays.
+//
+// Modification history:
+//
+// RYD Nov 22, 2002 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtAmpIndex.hh"
+#include <vector>
+using std::vector;
+
+
+EvtAmpIndex::EvtAmpIndex(std::vector<int> ind):
+ _ind(ind),
+ _size(ind.size()),
+ _state(ind.size()),
+ _nstate(ind.size())
+{
+ int i;
+
+ for(i=0;i<_size;i++) {
+ _state[i]=0;
+ if (i==0){
+ _nstate[i]=1;
+ }
+ else{
+ _nstate[i]=_nstate[i-1]*_ind[i];
+ }
+ }
+}
+
+
+void EvtAmpIndex::reset(){
+ int i;
+ for(i=0;i<_size;i++) {
+ _state[i]=0;
+ }
+}
+
+bool EvtAmpIndex::next(){
+ int i;
+ for(i=0;i<_size;i++) {
+ _state[i]++;
+ if (_state[i]<_ind[i]){
+ return true;
+ }
+ else{
+ _state[i]=0;
+ }
+ }
+ return false;
+}
+
+int EvtAmpIndex::index(){
+
+ int i;
+ int ind=0;
+
+ for(i=0;i<_size;i++) {
+ ind+=_state[i]*_nstate[i];
+ }
+
+ return ind;
+
+}
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech, UCSB
+//
+// Module: EvtGen/EvtAmpIndex.hh
+//
+// Description:This class keeps track of indices on amplitude objects.
+//
+// Modification history:
+//
+// Ryd Nov 22, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTAMPINDEX_HH
+#define EVTAMPINDEX_HH
+
+#include <vector>
+
+class EvtAmpIndex {
+
+ friend class EvtAmpSubIndex;
+
+public:
+
+ EvtAmpIndex(std::vector<int> ind);
+ virtual ~EvtAmpIndex() {}
+
+ void reset();
+ bool next();
+
+ int index();
+
+private:
+
+ std::vector<int> _ind;
+ int _size;
+ std::vector<int> _state;
+ std::vector<int> _nstate;
+
+};
+
+
+#endif
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtAmpPdf.hh,v 1.5 2003/06/20 17:19:59 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#ifndef EVT_AMP_PDF_HH
+#define EVT_AMP_PDF_HH
+
+#include "EvtGenBase/EvtMacros.hh"
+#include "EvtGenBase/EvtAmplitude.hh"
+#include "EvtGenBase/EvtPdf.hh"
+
+template <class T>
+
+class EvtAmpPdf : public EvtPdf<T> {
+public:
+
+ EvtAmpPdf() {}
+ EvtAmpPdf(const EvtAmplitude<T>& amp) : EvtPdf<T>(), _amp(amp.clone()) {}
+ EvtAmpPdf(const EvtAmpPdf<T>& other) : EvtPdf<T>(other), COPY_PTR(_amp) {}
+ virtual ~EvtAmpPdf() { delete _amp; }
+
+ virtual EvtAmpPdf<T>* clone() const { return new EvtAmpPdf(*this); }
+
+ virtual double pdf(const T& p) const
+ {
+ EvtComplex amp = _amp->evaluate(p);
+ return real(amp)*real(amp) + imag(amp)*imag(amp);
+ }
+
+private:
+
+ EvtAmplitude<T>* _amp;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech
+//
+// Module: EvtAmpSubIndex.cc
+//
+// Description: Class to manipulate the amplitudes in the decays.
+//
+// Modification history:
+//
+// RYD Nov 22, 2002 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtAmpIndex.hh"
+#include "EvtGenBase/EvtAmpSubIndex.hh"
+#include <vector>
+using std::vector;
+
+
+EvtAmpSubIndex::EvtAmpSubIndex(EvtAmpIndex* ind,std::vector<int> sub):
+ _ind(ind),
+ _sub(sub),
+ _size(sub.size()),
+ _nstate(sub.size())
+{
+ int i;
+
+ for(i=0;i<_size;i++) {
+ if (i==0){
+ _nstate[i]=1;
+ }
+ else{
+ _nstate[i]=_nstate[i-1]*_ind->_ind[sub[i-1]];
+ }
+ }
+}
+
+
+int EvtAmpSubIndex::index(){
+
+ int i;
+ int ind=0;
+
+ for(i=0;i<_size;i++) {
+ ind+=_ind->_state[_ind->_ind[i]]*_nstate[i];
+ }
+
+ return ind;
+
+}
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech
+//
+// Module: EvtAmpSubIndex.hh
+//
+// Description:This class keeps track of indices on amplitude objects.
+// Used for a subset of indices in an EvtAmpIndex object.
+//
+// Modification history:
+//
+// Ryd Nov 22, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTAMPSUBINDEX_HH
+#define EVTAMPSUBINDEX_HH
+
+#include <vector>
+class EvtAmpIndex;
+
+class EvtAmpSubIndex {
+
+public:
+
+ EvtAmpSubIndex(EvtAmpIndex* ind,std::vector<int> sub);
+ virtual ~EvtAmpSubIndex() {}
+
+ int index();
+
+private:
+
+ EvtAmpIndex* _ind;
+ std::vector<int> _sub;
+ int _size;
+ std::vector<int> _nstate;
+
+};
+
+
+#endif
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtAmplitude.hh,v 1.5 2003/06/20 17:19:59 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Complex-valued amplitude
+
+#ifndef EVT_AMPLITUDE_HH
+#define EVT_AMPLITUDE_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+
+template <class T>
+class EvtAmplitude {
+public:
+
+ EvtAmplitude() {}
+ EvtAmplitude(const EvtAmplitude&) {}
+ virtual ~EvtAmplitude() {}
+ virtual EvtAmplitude<T>* clone() const = 0;
+
+ EvtComplex evaluate(const T& p) const
+ {
+ EvtComplex ret(0.,0.);
+ if(p.isValid()) ret = amplitude(p);
+ return ret;
+ }
+
+protected:
+
+ // Derive in subclasses to define amplitude computation
+ // for a fully constructed amplitude object.
+
+ virtual EvtComplex amplitude(const T&) const = 0;
+
+};
+
+#endif
+
+
+
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtAmplitudeSum.hh,v 1.10 2009/02/18 03:31:37 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#ifndef EVT_AMPLITUDE_SUM_HH
+#define EVT_AMPLITUDE_SUM_HH
+
+#include <stdio.h>
+#include <assert.h>
+#include <vector>
+#include "EvtGenBase/EvtAmplitude.hh"
+
+template <class T>
+class EvtAmplitudeSum : public EvtAmplitude<T> {
+
+public:
+
+ EvtAmplitudeSum() {}
+ EvtAmplitudeSum(const EvtAmplitudeSum<T>& other)
+ : EvtAmplitude<T>(other)
+ {
+ int i;
+ for(i=0;i<other.nTerms();i++) {
+
+ EvtComplex c = other.c(i);
+ _c.push_back(c);
+ EvtAmplitude<T>* amp = other.getTerm(i);
+ assert(amp);
+ EvtAmplitude<T>* amp1 = amp->clone();
+ assert(amp1);
+ _term.push_back(amp1);
+ }
+ }
+
+ virtual ~EvtAmplitudeSum()
+ {
+ for(size_t i=0;i<_term.size();i++) {
+
+ delete _term[i];
+ }
+ }
+
+ virtual EvtAmplitude<T>* clone() const
+ {
+ return new EvtAmplitudeSum<T>(*this);
+ }
+
+
+ void addTerm(EvtComplex c,const EvtAmplitude<T>& amp)
+ {
+ _c.push_back(c);
+ _term.push_back(amp.clone());
+ }
+
+ void addOwnedTerm(EvtComplex c, EvtAmplitude<T>* amp)
+ {
+ assert(amp);
+ _c.push_back(c);
+ _term.push_back(amp);
+ }
+
+ int nTerms() const { return _term.size(); } // number of terms
+
+ void print() const {
+
+ int N = nTerms();
+ printf("Amplitude has %d terms\n",N);
+ int i;
+ for(i=0;i<N;i++) {
+ printf("c%d = (%f,%f)\n",i,real(_c[i]),imag(_c[i]));
+ assert(_term[i]);
+ }
+ }
+
+
+ inline EvtComplex c(int i) const { return _c[i]; }
+ inline EvtAmplitude<T>* getTerm(int i) const { return _term[i]; }
+
+protected:
+
+ virtual EvtComplex amplitude(const T& p) const
+ {
+ if(_term.size() == 0)
+ printf("Warning: amplitude sum has zero terms\n");
+
+ EvtComplex value = 0.;
+
+ for(size_t i=0;i<_term.size();i++) {
+ value+=_c[i]*_term[i]->evaluate(p);
+ }
+ return value;
+ }
+
+private:
+
+ std::vector<EvtComplex> _c; // coefficients
+ std::vector<EvtAmplitude<T>*> _term; // pointers to amplitudes
+};
+
+
+#endif
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtBlattWeisskopf.cc,v 1.6 2004/12/21 19:58:41 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <iostream>
+#include <assert.h>
+#include <math.h>
+#include "EvtGenBase/EvtBlattWeisskopf.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+EvtBlattWeisskopf::EvtBlattWeisskopf(int LL, double R, double p0)
+ : _LL(LL), _radial(R), _p0(p0)
+{
+ if(R < 0) {
+
+ report(INFO,"EvtGen") << "Radius " << R << " negative" << endl;
+ assert(0);
+ }
+
+ _radial = R;
+
+ // compute formula for nominal momentum
+
+ _F0 = compute(_p0);
+ if(_F0 <= 0) {
+
+ report(INFO,"EvtGen") << "Invalid nominal form factor computed " << _F0 << endl;
+ assert(0);
+ }
+}
+
+EvtBlattWeisskopf::EvtBlattWeisskopf(const EvtBlattWeisskopf& other)
+ : _LL(other._LL), _radial(other._radial), _p0(other._p0), _F0(other._F0)
+{}
+
+EvtBlattWeisskopf::~EvtBlattWeisskopf()
+{}
+
+double EvtBlattWeisskopf::operator()(double p) const
+{
+ double ret = compute(p)/_F0;
+ // report(INFO,"EvtGen") << p << " " << _p0 << " " << _F0 << " " << _LL << " " << _radial << " " << ret << endl;
+ return ret;
+}
+
+// Blatt-Weisskopf form factors
+// see e.g. hep-ex/0011065
+// Dalitz Analysis of the Decay D0->K-pi+pi0 (CLEO)
+//
+// p - momentum of either daugher in the meson rest frame,
+// the mass of the meson is used
+// pAB - momentum of either daughter in the candidate rest frame
+// the mass of the candidate is used
+// R - meson radial parameter
+//
+// In the CLEO paper R=5 GeV-1 for D0, R=1.5 for intermediate resonances
+
+double EvtBlattWeisskopf::compute(double p) const
+{
+ if(p < 0) {
+
+ report(INFO,"EvtGen") << "Momentum " << p << " negative in form factor calculation" << endl;
+ assert(0);
+ }
+ else {
+
+ double x = p*p*_radial*_radial;
+
+ if(0 == _LL) return 1.;
+ else
+ if(1 == _LL) return sqrt(1.0/(1.0+x));
+ else
+ if(2 == _LL) return sqrt(1.0/(1.0+x/3.0+x*x/9.0));
+ else {
+ report(INFO,"EvtGen") << "Angular momentum " << _LL << " not implemented" << endl;
+ assert(0);
+ }
+ }
+}
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtBlattWeisskopf.hh,v 1.3 2004/09/14 03:24:11 gowdy Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Blatt-Weisskopf penetration form factor for a resonance R->AB.
+// Taken from CLEO preprint 00-23 (hep-ex/0011065)
+
+#ifndef EVT_BLATT_WEISSKOPF_HH
+#define EVT_BLATT_WEISSKOPF_HH
+
+class EvtBlattWeisskopf {
+
+
+public:
+
+ EvtBlattWeisskopf(int LL, double R, double p0);
+ EvtBlattWeisskopf(const EvtBlattWeisskopf&);
+ ~EvtBlattWeisskopf();
+
+ double operator()(double p) const;
+
+private:
+
+ int _LL; // angular momentum of daughters
+ double _radial; // resonance radial parameter
+ double _p0;
+
+ double _F0; // formula evaluated at _p0
+ double compute(double p) const;
+
+};
+
+#endif
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtBreitWignerPdf.cc,v 1.14 2004/12/21 19:58:41 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Breit-Wigner shape PDF. If the width is zero it degenerates into a delta
+// function. The integral and its inverse can be still evaluated.
+
+#include <assert.h>
+#include <stdio.h>
+#include <math.h>
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtBreitWignerPdf.hh"
+#include "EvtGenBase/EvtConst.hh"
+
+EvtBreitWignerPdf::EvtBreitWignerPdf(double min, double max, double m0, double g0)
+ : EvtIntegPdf1D(min,max), _m0(m0), _g0(g0)
+{}
+
+
+EvtBreitWignerPdf::EvtBreitWignerPdf(const EvtBreitWignerPdf& other)
+ : EvtIntegPdf1D(other), _m0(other._m0), _g0(other._g0)
+{}
+
+
+EvtBreitWignerPdf::~EvtBreitWignerPdf()
+{}
+
+
+double EvtBreitWignerPdf::pdf(const EvtPoint1D& x) const
+{
+ double m = x.value();
+ if((0 == (m - _m0)) && (0. == _g0)) {
+
+ printf("Delta function Breit-Wigner\n");
+ assert(0);
+ }
+
+ double ret = _g0/EvtConst::twoPi/((m-_m0)*(m-_m0)+_g0*_g0/4);
+
+ return ret;
+}
+
+
+double EvtBreitWignerPdf::pdfIntegral(double m) const
+{
+ double itg = 0;
+ if(_g0 == 0) {
+
+ if(m > _m0) itg = 1.;
+ else
+ if(m < _m0) itg = 0.;
+ else
+ itg = 0.5;
+ }
+ else itg = atan((m-_m0)/(_g0/2.))/EvtConst::pi + 0.5;
+
+ return itg;
+}
+
+
+double EvtBreitWignerPdf::pdfIntegralInverse(double x) const
+{
+ if(x < 0 || x > 1) {
+
+ printf("Invalid integral value %f\n",x);
+ assert(0);
+ }
+
+ double m = _m0;
+ if(_g0 != 0) m = _m0 + (_g0/2.)*tan(EvtConst::pi*(x-0.5));
+
+ return m;
+}
+
+
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtBreitWignerPdf.hh,v 1.5 2003/06/20 17:20:00 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Breit-Wigner PDF
+
+#ifndef EVT_BREIT_WIGNER_PDF_HH
+#define EVT_BREIT_WIGNER_PDF_HH
+
+#include "EvtGenBase/EvtIntegPdf1D.hh"
+
+class EvtBreitWignerPdf : public EvtIntegPdf1D {
+
+public:
+
+ EvtBreitWignerPdf(double min, double max, double m0, double g0);
+ EvtBreitWignerPdf(const EvtBreitWignerPdf& other);
+ virtual ~EvtBreitWignerPdf();
+
+ double pdf(const EvtPoint1D& x) const;
+ EvtPdf<EvtPoint1D>* clone() const
+ {
+ return new EvtBreitWignerPdf(*this);
+ }
+
+ double pdfIntegral(double m) const;
+ double pdfIntegralInverse(double x) const;
+
+ // accessors
+
+ inline double m0() const { return _m0; }
+ inline double g0() const { return _g0; }
+
+private:
+
+ double _m0;
+ double _g0;
+
+};
+
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtCGCoefSingle.cc
+//
+// Description: Evaluates Clebsch-Gordon coef for fixed j1 and j2.
+//
+// Modification history:
+//
+// fkw February 2, 2001 changes to satisfy KCC
+// RYD August 12, 2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <math.h>
+#include <iostream>
+#include <assert.h>
+#include "EvtGenBase/EvtCGCoefSingle.hh"
+#include "EvtGenBase/EvtOrthogVector.hh"
+
+
+
+EvtCGCoefSingle::~EvtCGCoefSingle(){
+}
+
+
+void EvtCGCoefSingle::init(int j1,int j2){
+
+ _j1=j1;
+ _j2=j2;
+
+ _Jmax=abs(j1+j2);
+ _Jmin=abs(j1-j2);
+
+ _table.resize((_Jmax-_Jmin)/2+1);
+
+ int J,M;
+
+ int lenmax=j1+1;
+ if (j2<j1) lenmax=j2+1;
+
+ //set vector sizes
+ for(J=_Jmax;J>=_Jmin;J-=2){
+ _table[(J-_Jmin)/2].resize(J+1);
+ for(M=J;J>=-M;M-=2){
+ int len=((_j1+_j2)-abs(M))/2+1;
+ if (len>lenmax) len=lenmax;
+ _table[(J-_Jmin)/2][(M+J)/2].resize(len);
+ }
+ }
+
+ //now fill the vectors
+ for(J=_Jmax;J>=_Jmin;J-=2){
+ //bootstrap with highest M(=J) as a special case
+ if (J==_Jmax) {
+ cg(J,J,_j1,_j2)=1.0;
+ }else{
+ int n=(_Jmax-J)/2+1;
+ std::vector<double>* vectors=new std::vector<double>[n-1];
+ int i,k;
+ for(i=0;i<n-1;i++){
+ // i corresponds to J=Jmax-2*i
+ vectors[i].resize(n);
+ for(k=0;k<n;k++){
+ double tmp=_table[(_Jmax-_Jmin)/2-i][(J+_Jmax-2*i)/2][k];
+ vectors[i][k]=tmp;
+ }
+ }
+ EvtOrthogVector getOrth(n,vectors);
+ std::vector<double> orth=getOrth.getOrthogVector();
+ int sign=1;
+ if (orth[n-1]<0.0) sign=-1;
+ for(k=0;k<n;k++){
+ _table[(J-_Jmin)/2][J][k]=sign*orth[k];
+ }
+ delete [] vectors ;
+ }
+ for(M=J-2;M>=-J;M-=2){
+ int len=((_j1+_j2)-abs(M))/2+1;
+ if (len>lenmax) len=lenmax;
+ int mmin=M-j2;
+ if (mmin<-j1) mmin=-j1;
+ int m1;
+ for(m1=mmin;m1<mmin+len*2;m1+=2){
+ int m2=M-m1;
+ double sum=0.0;
+ float fkwTmp = _j1*(_j1+2)-(m1+2)*m1;
+ //fkw 2/2/2001: changes needed to satisfy KCC
+ //fkw if (m1+2<=_j1) sum+=0.5*sqrt(_j1*(_j1+2)-(m1+2)*m1)*cg(J,M+2,m1+2,m2);
+ //fkw if (m2+2<=_j2) sum+=0.5*sqrt(_j2*(_j2+2)-(m2+2)*m2)*cg(J,M+2,m1,m2+2);
+ //fkw sum/=(0.5*sqrt(J*(J+2)-(M+2)*M));
+ if (m1+2<=_j1) sum+=0.5*sqrt(fkwTmp)*cg(J,M+2,m1+2,m2);
+ fkwTmp = _j2*(_j2+2)-(m2+2)*m2;
+ if (m2+2<=_j2) sum+=0.5*sqrt(fkwTmp)*cg(J,M+2,m1,m2+2);
+ fkwTmp = J*(J+2)-(M+2)*M;
+ sum/=(0.5*sqrt(fkwTmp));
+ cg(J,M,m1,m2)=sum;
+ }
+ }
+ }
+
+
+
+}
+
+
+double EvtCGCoefSingle::coef(int J,int M,int j1,int j2,int m1,int m2){
+
+ assert(j1==_j1);
+ assert(j2==_j2);
+
+ return cg(J,M,m1,m2);
+
+
+}
+
+
+double& EvtCGCoefSingle::cg(int J,int M, int m1, int m2){
+
+ assert(M==m1+m2);
+ assert(abs(M)<=J);
+ assert(J<=_Jmax);
+ assert(J>=_Jmin);
+ assert(abs(m1)<=_j1);
+ assert(abs(m2)<=_j2);
+
+ //find lowest m1 allowed for the given M
+
+ int mmin=M-_j2;
+
+ if (mmin<-_j1) mmin=-_j1;
+
+ int n=m1-mmin;
+
+ return _table[(J-_Jmin)/2][(M+J)/2][n/2];
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtGen/EvtCGCoefSingle.hh
+//
+// Description:Evaluation of Clebsch-Gordon coef for a fixed j1 and j2.
+//
+// Modification history:
+//
+// RYD August 12, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTCGCOEFSINGLE_HH
+#define EVTCGCOEFSINGLE_HH
+
+#include <vector>
+
+
+class EvtCGCoefSingle{
+
+public:
+
+ EvtCGCoefSingle(int j1, int j2) {init(j1,j2);}
+ ~EvtCGCoefSingle();
+
+
+ double coef(int J,int M,int j1,int j2,int m1,int m2);
+
+private:
+
+ void init(int j1,int j2);
+ double& cg(int J,int M, int m1, int m2);
+
+ int _j1;
+ int _j2;
+
+ int _Jmax;
+ int _Jmin;
+
+ std::vector<std::vector<std::vector<double> > > _table;
+
+};
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtCPUtil.cc
+//
+// Description: Utilities needed for generation of CP violating
+// decays.
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtSymTable.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include <stdio.h>
+#include <stdlib.h>
+
+#include <assert.h>
+using std::endl;
+
+
+//added two functions for finding the fraction of B0 tags for decays into
+//both CP eigenstates and non-CP eigenstates -- NK, Jan. 27th, 1998
+
+void EvtCPUtil::fractB0CP(EvtComplex Af, EvtComplex Abarf,
+ double deltam, double beta, double &fract) {
+//this function returns the number of B0 tags for decays into CP-eigenstates
+//(the "probB0" in the new EvtOtherB)
+
+ //double gamma_B = EvtPDL::getWidth(B0);
+ //double xd = deltam/gamma_B;
+ //double xd = 0.65;
+ double ratio = 1/(1 + 0.65*0.65);
+
+ EvtComplex rf, rbarf;
+
+ rf = EvtComplex(cos(2.0*beta),sin(2.0*beta))*Abarf/Af;
+ rbarf = EvtComplex(1.0)/rf;
+
+ double A2 = real(Af)*real(Af) + imag(Af)*imag(Af);
+ double Abar2 = real(Abarf)*real(Abarf) + imag(Abarf)*imag(Abarf);
+
+ double rf2 = real(rf)*real(rf) + imag(rf)*imag(rf);
+ double rbarf2 = real(rbarf)*real(rbarf) + imag(rbarf)*imag(rbarf);
+
+ fract = (Abar2*(1+ rbarf2 + (1 - rbarf2)*ratio))/(Abar2*(1+ rbarf2 + (1 - rbarf2)*ratio) + A2*(1+ rf2 + (1 - rf2)*ratio));
+ return;
+
+}
+void EvtCPUtil::fractB0nonCP(EvtComplex Af, EvtComplex Abarf,
+ EvtComplex Afbar, EvtComplex Abarfbar,
+ double deltam, double beta,
+ int flip, double &fract) {
+
+ //this function returns the number of B0 tags for decays into non-CP eigenstates
+ //(the "probB0" in the new EvtOtherB)
+ //this needs more thought...
+
+ //double gamma_B = EvtPDL::getWidth(B0);
+ //report(INFO,"EvtGen") << "gamma " << gamma_B<< endl;
+ //double xd = deltam/gamma_B;
+
+ //why is the width of B0 0 in PDL??
+
+ double xd = 0.65;
+ double gamma_B = deltam/xd;
+ double IAf, IAfbar, IAbarf, IAbarfbar;
+ EvtComplex rf, rfbar, rbarf, rbarfbar;
+ double rf2, rfbar2, rbarf2, rbarfbar2;
+ double Af2, Afbar2, Abarf2, Abarfbar2;
+
+ rf = EvtComplex(cos(2.0*beta),sin(2.0*beta))*Abarf/Af;
+ rfbar = EvtComplex(cos(2.0*beta),sin(2.0*beta))*Abarfbar/Afbar;
+ rbarf = EvtComplex(cos(-2.0*beta),sin(-2.0*beta))*Af/Abarf;
+ rbarfbar = EvtComplex(cos(-2.0*beta),sin(-2.0*beta))*Afbar/Abarfbar;
+
+
+ rf2 = real(rf)*real(rf) + imag(rf)*imag(rf);
+ rfbar2 = real(rfbar)*real(rfbar) + imag(rfbar)*imag(rfbar);
+ rbarf2 = real(rbarf)*real(rbarf) + imag(rbarf)*imag(rbarf);
+ rbarfbar2 = real(rbarfbar)*real(rbarfbar) + imag(rbarfbar)*imag(rbarfbar);
+
+ Af2 = real(Af)*real(Af) + imag(Af)*imag(Af);
+ Afbar2 = real(Afbar)*real(Afbar) + imag(Afbar)*imag(Afbar);
+ Abarf2 = real(Abarf)*real(Abarf) + imag(Abarf)*imag(Abarf);
+ Abarfbar2 = real(Abarfbar)*real(Abarfbar) + imag(Abarfbar)*imag(Abarfbar);
+
+
+ //
+ //IAf = integral(gamma(B0->f)), etc.
+ //
+
+ IAf = (Af2/(2*gamma_B))*(1+rf2+(1-rf2)/(1+xd*xd));
+ IAfbar = (Afbar2/(2*gamma_B))*(1+rfbar2+(1-rfbar2)/(1+xd*xd));
+ IAbarf = (Abarf2/(2*gamma_B))*(1+rbarf2+(1-rbarf2)/(1+xd*xd));
+ IAbarfbar = (Abarfbar2/(2*gamma_B))*(1+rbarfbar2+(1-rbarfbar2)/(1+xd*xd));
+
+ //flip specifies the relative fraction of fbar events
+
+ fract = IAbarf/(IAbarf+IAf) + flip*IAbarfbar/(IAfbar+IAbarfbar);
+
+
+ return;
+}
+
+void EvtCPUtil::OtherB( EvtParticle *p,double &t, EvtId &otherb, double probB0){
+
+ //Can not call this recursively!!!
+ static int entryCount=0;
+ entryCount++;
+
+ //added by Lange Jan4,2000
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS=EvtPDL::getId("B_s0");
+
+ static EvtId UPS4S=EvtPDL::getId("Upsilon(4S)");
+
+ int isB0=EvtRandom::Flat(0.0,1.0)<probB0;
+
+ int idaug;
+
+ p->setLifetime();
+
+ // now get the time between the decay of this B and the other B!
+
+ EvtParticle *parent=p->getParent();
+
+ EvtParticle *other;
+
+ bool incoherentmix=false;
+
+ if ((parent!=0)&&(parent->getId()==B0||
+ parent->getId()==B0B||
+ parent->getId()==BS||
+ parent->getId()==BSB)) {
+ incoherentmix=true;
+ }
+
+ if (incoherentmix) parent=parent->getParent();
+
+ if (parent==0||parent->getId()!=UPS4S) {
+ //Need to make this more general, but for now
+ //assume no parent. If we have parent of B we
+ //need to charge conj. full decay tree.
+
+
+ if (parent!=0) {
+ report(INFO,"EvtGen") << "p="<<EvtPDL::name(p->getId())
+ << " parent="<<EvtPDL::name(parent->getId())
+ << endl;
+ }
+ assert(parent==0);
+ p->setLifetime();
+ t=p->getLifetime();
+ bool needToChargeConj=false;
+ if (p->getId()==B0B&&isB0) needToChargeConj=true;
+ if (p->getId()==B0&&!isB0) needToChargeConj=true;
+ if (p->getId()==BSB&&isB0) needToChargeConj=true;
+ if (p->getId()==BS&&!isB0) needToChargeConj=true;
+
+ if (needToChargeConj) {
+ p->setId( EvtPDL::chargeConj(p->getId()));
+ if (incoherentmix) {
+ p->getDaug(0)->setId(EvtPDL::chargeConj(p->getDaug(0)->getId()));
+ }
+ }
+ otherb=EvtPDL::chargeConj(p->getId());
+
+ entryCount--;
+ return;
+ }
+ else{
+ if (parent->getDaug(0)!=p){
+ other=parent->getDaug(0);
+ idaug=0;
+ }
+ else{
+ other=parent->getDaug(1);
+ idaug=1;
+ }
+ }
+
+ if (parent != 0 ) {
+
+ //if (entryCount>1){
+ // report(INFO,"EvtGen") << "Double CP decay:"<<entryCount<<endl;
+ //}
+
+ //kludge!! Lange Mar21, 2003
+ // if the other B is an alias... don't change the flavor..
+ if ( other->getId().isAlias() ) {
+ OtherB(p,t,otherb);
+ entryCount--;
+ return;
+
+ }
+
+ if (entryCount==1){
+
+ EvtVector4R p_init=other->getP4();
+ //int decayed=other->getNDaug()>0;
+ bool decayed = other->isDecayed();
+
+ other->deleteTree();
+
+ EvtScalarParticle* scalar_part;
+
+ scalar_part=new EvtScalarParticle;
+ if (isB0) {
+ scalar_part->init(B0,p_init);
+ }
+ else{
+ scalar_part->init(B0B,p_init);
+ }
+ other=(EvtParticle *)scalar_part;
+ // other->set_type(EvtSpinType::SCALAR);
+ other->setDiagonalSpinDensity();
+
+ parent->insertDaugPtr(idaug,other);
+
+ if (decayed){
+ //report(INFO,"EvtGen") << "In CP Util calling decay \n";
+ other->decay();
+ }
+
+ }
+
+ otherb=other->getId();
+
+ other->setLifetime();
+ t=p->getLifetime()-other->getLifetime();
+
+ otherb = other->getId();
+
+ }
+ else {
+ report(INFO,"EvtGen") << "We have an error here!!!!"<<endl;
+ otherb = EvtId(-1,-1);
+ }
+
+ entryCount--;
+ return ;
+}
+
+
+
+void EvtCPUtil::OtherB( EvtParticle *p,double &t, EvtId &otherb){
+
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId UPS4=EvtPDL::getId("Upsilon(4S)");
+
+ if (p->getId()==BS0||p->getId()==BSB){
+ static double ctauL=EvtPDL::getctau(EvtPDL::getId("B_s0L"));
+ static double ctauH=EvtPDL::getctau(EvtPDL::getId("B_s0H"));
+ static double ctau=ctauL<ctauH?ctauH:ctauL;
+ t=-log(EvtRandom::Flat())*ctau;
+ EvtParticle* parent=p->getParent();
+ if (parent!=0&&(parent->getId()==BS0||parent->getId()==BSB)){
+ if (parent->getId()==BS0) otherb=BSB;
+ if (parent->getId()==BSB) otherb=BS0;
+ parent->setLifetime(t);
+ return;
+ }
+ if (p->getId()==BS0) otherb=BSB;
+ if (p->getId()==BSB) otherb=BS0;
+ p->setLifetime(t);
+ return;
+ }
+
+ if (p->getId()==D0||p->getId()==D0B){
+ static double ctauL=EvtPDL::getctau(EvtPDL::getId("D0L"));
+ static double ctauH=EvtPDL::getctau(EvtPDL::getId("D0H"));
+ static double ctau=ctauL<ctauH?ctauH:ctauL;
+ t=-log(EvtRandom::Flat())*ctau;
+ EvtParticle* parent=p->getParent();
+ if (parent!=0&&(parent->getId()==D0||parent->getId()==D0B)){
+ if (parent->getId()==D0) otherb=D0B;
+ if (parent->getId()==D0B) otherb=D0;
+ parent->setLifetime(t);
+ return;
+ }
+ if (p->getId()==D0) otherb=D0B;
+ if (p->getId()==D0B) otherb=D0;
+ p->setLifetime(t);
+ return;
+ }
+
+
+
+
+ p->setLifetime();
+
+
+ // now get the time between the decay of this B and the other B!
+
+ EvtParticle *parent=p->getParent();
+
+ if (parent==0||parent->getId()!=UPS4) {
+ //report(ERROR,"EvtGen") <<
+ // "Warning CP violation with B having no parent!"<<endl;
+ t=p->getLifetime();
+ if (p->getId()==B0) otherb=B0B;
+ if (p->getId()==B0B) otherb=B0;
+ if (p->getId()==BS0) otherb=BSB;
+ if (p->getId()==BSB) otherb=BS0;
+ return;
+ }
+ else{
+ if (parent->getDaug(0)!=p){
+ otherb=parent->getDaug(0)->getId();
+ parent->getDaug(0)->setLifetime();
+ t=p->getLifetime()-parent->getDaug(0)->getLifetime();
+ }
+ else{
+ otherb=parent->getDaug(1)->getId();
+ parent->getDaug(1)->setLifetime();
+ t=p->getLifetime()-parent->getDaug(1)->getLifetime();
+ }
+ }
+
+
+ return ;
+}
+
+
+void EvtCPUtil::incoherentMix(const EvtId id, double &t, int &mix){
+
+ int stdHepNum=EvtPDL::getStdHep(id);
+ stdHepNum=abs(stdHepNum);
+
+ EvtId partId=EvtPDL::evtIdFromStdHep(stdHepNum);
+
+ std::string partName=EvtPDL::name(partId);
+ std::string hname=partName+std::string("H");
+ std::string lname=partName+std::string("L");
+
+ EvtId lId=EvtPDL::getId(lname);
+ EvtId hId=EvtPDL::getId(hname);
+
+ double ctauL=EvtPDL::getctau(lId);
+ double ctauH=EvtPDL::getctau(hId);
+ double ctau=0.5*(ctauL+ctauH);
+ double y=(ctauH-ctauL)/ctau;
+
+ //need to figure out how to get these parameters into the code...
+
+ std::string qoverpParmName=std::string("qoverp_incohMix_")+partName;
+ std::string mdParmName=std::string("dm_incohMix_")+partName;
+ int ierr;
+ double qoverp=atof(EvtSymTable::get(qoverpParmName,ierr).c_str());
+ double x=atof(EvtSymTable::get(mdParmName,ierr).c_str())*ctau/EvtConst::c;
+ double fac;
+
+ if(id==partId){
+ fac=1.0/(qoverp*qoverp);
+ }
+ else{
+ fac=qoverp*qoverp;
+ }
+
+ double mixprob=(x*x+y*y)/(x*x+y*y+fac*(2+x*x-y*y));
+
+ int mixsign;
+
+ mixsign=(mixprob>EvtRandom::Flat(0.0,1.0))?-1:1;
+
+ double prob;
+
+ do{
+ t=-log(EvtRandom::Flat())*ctauL;
+ prob=1.0+exp(2.0*y*t/ctau)+mixsign*2.0*exp(y*t/ctau)*cos(x*t);
+ }while(prob<4*EvtRandom::Flat());
+
+ mix=0;
+
+ if (mixsign==-1) mix=1;
+
+ return;
+}
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtCPUtil.hh
+//
+// Description:Class to hold CP physics utilities.
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTCPUTIL_HH
+#define EVTCPUTIL_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPatches.hh"
+class EvtParticle;
+class EvtId;
+
+class EvtCPUtil{
+
+public:
+
+ static void fractB0CP(EvtComplex Af, EvtComplex Abarf,
+ double deltam, double beta, double &fract);
+
+ static void fractB0nonCP(EvtComplex Af, EvtComplex Abarf,
+ EvtComplex Afbar, EvtComplex Abarfbar,
+ double deltam, double beta, int flip,
+ double &fract);
+
+ static void OtherB(EvtParticle *p, double &t, EvtId &otherb);
+
+ static void OtherB(EvtParticle *p, double &t, EvtId &otherb, double probB0);
+
+ //id is the produced particle
+ //t returns the lifetime of the particle
+ //and mix will be 1 if it mixed otherwise 0
+ static void incoherentMix(const EvtId id, double &t, int &mix);
+
+
+
+};
+
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtComplex.cc
+//
+// Description: EvtComlex.cc
+//
+// Modification history:
+//
+// RYD December 5, 1998 Created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+using std::ostream;
+
+
+ostream& operator<<(ostream& s, const EvtComplex& c){
+
+ s<<"("<<c._rpart<<","<<c._ipart<<")";
+ return s;
+
+}
+
+EvtComplex& EvtComplex::operator*=(EvtComplex c){
+
+ double r=_rpart*c._rpart-_ipart*c._ipart;
+ double i=_rpart*c._ipart+_ipart*c._rpart;
+
+ _rpart=r;
+ _ipart=i;
+
+ return *this;
+
+}
+
+EvtComplex& EvtComplex::operator/=(EvtComplex c){
+
+ double inv=1.0/(c._rpart*c._rpart+c._ipart*c._ipart);
+
+ double r=inv*(_rpart*c._rpart+_ipart*c._ipart);
+ double i=inv*(_rpart*c._ipart-_ipart*c._rpart);
+
+ _rpart=r;
+ _ipart=i;
+
+ return *this;
+
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVector4R.hh
+//
+// Description: Class to describe complex numbers
+//
+// Modification history:
+//
+// RYD December 5, 1998 Created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTCOMPLEX_HH
+#define EVTCOMPLEX_HH
+
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtConst.hh"
+
+class EvtComplex {
+
+ inline friend EvtComplex operator*(double d,const EvtComplex& c);
+ inline friend EvtComplex operator*(const EvtComplex& c,double d);
+ inline friend EvtComplex operator/(const EvtComplex& c,double d);
+ inline friend EvtComplex operator/(double d,const EvtComplex& c);
+ inline friend EvtComplex operator*(const EvtComplex& c1,const EvtComplex& c2);
+ inline friend EvtComplex operator/(const EvtComplex& c1,const EvtComplex& c2);
+ inline friend EvtComplex operator+(const EvtComplex& c1,const EvtComplex& c2);
+ inline friend EvtComplex operator-(const EvtComplex& c1,const EvtComplex& c2);
+ inline friend EvtComplex operator-(const EvtComplex& c);
+ inline friend EvtComplex conj(const EvtComplex& c);
+ inline friend double abs(const EvtComplex& c);
+ inline friend double abs2(const EvtComplex& c);
+ inline friend double arg(const EvtComplex& c);
+ inline friend double real(const EvtComplex& c);
+ inline friend double imag(const EvtComplex& c);
+ inline friend EvtComplex exp(const EvtComplex& c);
+ friend std::ostream& operator<<(std::ostream& s, const EvtComplex& c);
+
+public:
+ EvtComplex():_rpart(0.0),_ipart(0.0){}
+ EvtComplex(double rpart,double ipart=0.0):_rpart(rpart),_ipart(ipart){}
+ EvtComplex(const EvtComplex& c):_rpart(c._rpart),_ipart(c._ipart){}
+ inline EvtComplex& operator*=(double d);
+ inline EvtComplex& operator/=(double d);
+ EvtComplex& operator*=(EvtComplex c);
+ EvtComplex& operator/=(EvtComplex c);
+ inline EvtComplex& operator=(const EvtComplex& c);
+ inline EvtComplex& operator+=(const EvtComplex& c);
+ inline EvtComplex& operator-=(const EvtComplex& c);
+ inline EvtComplex& operator+=(double d);
+ inline EvtComplex& operator-=(double d);
+ inline int operator==(const EvtComplex c);
+ inline int operator!=(const EvtComplex c);
+private:
+ double _rpart,_ipart;
+};
+
+
+typedef EvtComplex* EvtComplexPtr;
+typedef EvtComplexPtr* EvtComplexPtrPtr;
+typedef EvtComplexPtrPtr* EvtComplexPtrPtrPtr;
+
+
+EvtComplex& EvtComplex::operator=(const EvtComplex& c){
+
+ _rpart=c._rpart;
+ _ipart=c._ipart;
+
+ return *this;
+}
+
+EvtComplex& EvtComplex::operator+=(const EvtComplex& c){
+
+ _rpart+=c._rpart;
+ _ipart+=c._ipart;
+
+ return *this;
+}
+
+EvtComplex& EvtComplex::operator-=(const EvtComplex& c){
+
+ _rpart-=c._rpart;
+ _ipart-=c._ipart;
+
+ return *this;
+}
+
+EvtComplex& EvtComplex::operator+=(double d){
+
+ _rpart+=d;
+
+ return *this;
+}
+
+EvtComplex& EvtComplex::operator-=(double d){
+
+ _rpart-=d;
+
+ return *this;
+}
+
+EvtComplex operator*(double d,const EvtComplex& c){
+
+ return EvtComplex(c._rpart*d,c._ipart*d);
+
+}
+
+EvtComplex operator*(const EvtComplex& c, double d){
+
+ return EvtComplex(c._rpart*d,c._ipart*d);
+
+}
+
+
+
+EvtComplex operator/(const EvtComplex& c,double d){
+
+ return EvtComplex(c._rpart/d,c._ipart/d);
+
+}
+
+EvtComplex& EvtComplex::operator*=(double d){
+
+ _rpart*=d;
+ _ipart*=d;
+
+ return *this;
+
+}
+
+
+EvtComplex& EvtComplex::operator/=(double d){
+
+ _rpart/=d;
+ _ipart/=d;
+
+ return *this;
+}
+
+EvtComplex operator/(double d,const EvtComplex& c) {
+
+double Num=d/(c._rpart*c._rpart+c._ipart*c._ipart);
+
+return EvtComplex( Num*c._rpart, -Num*c._ipart );
+
+}
+
+
+
+EvtComplex operator/(const EvtComplex& c1,const EvtComplex& c2){
+
+ double inv=1.0/(c2._rpart*c2._rpart+c2._ipart*c2._ipart);
+
+ return EvtComplex(inv*(c1._rpart*c2._rpart+c1._ipart*c2._ipart),
+ inv*(c1._ipart*c2._rpart-c1._rpart*c2._ipart));
+
+}
+
+EvtComplex operator*(const EvtComplex& c1,const EvtComplex& c2){
+
+ return EvtComplex(c1._rpart*c2._rpart-c1._ipart*c2._ipart,
+ c1._rpart*c2._ipart+c1._ipart*c2._rpart);
+
+}
+
+EvtComplex operator-(const EvtComplex& c1,const EvtComplex& c2){
+
+ return EvtComplex(c1._rpart-c2._rpart,c1._ipart-c2._ipart);
+
+}
+
+EvtComplex operator+(const EvtComplex& c1,const EvtComplex& c2){
+
+ return EvtComplex(c1._rpart+c2._rpart,c1._ipart+c2._ipart);
+
+}
+
+int EvtComplex::operator==(const EvtComplex c){
+
+ return _rpart==c._rpart&&_ipart==c._ipart;
+
+}
+
+int EvtComplex::operator!=(const EvtComplex c){
+
+ return _rpart!=c._rpart||_ipart!=c._ipart;
+
+}
+
+
+EvtComplex operator-(const EvtComplex& c){
+
+ return EvtComplex(-c._rpart,-c._ipart);
+
+}
+
+EvtComplex conj(const EvtComplex& c){
+
+ return EvtComplex(c._rpart,-c._ipart);
+
+}
+
+double abs(const EvtComplex& c){
+
+ double c2=c._rpart*c._rpart+c._ipart*c._ipart;
+ if (c2<=0.0) return 0.0;
+ return sqrt(c2);
+
+}
+
+
+double abs2(const EvtComplex& c){
+
+ return c._rpart*c._rpart+c._ipart*c._ipart;
+}
+
+
+double arg(const EvtComplex& c){
+ if ((c._rpart==0)&&(c._ipart==0)) {return 0.0;}
+ if (c._rpart==0){
+ if (c._ipart>0){
+ return EvtConst::pi/2;
+ } else {
+ return -EvtConst::pi/2;
+ }
+ } else {
+ return atan2(c._ipart,c._rpart);
+ }
+}
+
+double real(const EvtComplex& c){
+
+ return c._rpart;
+
+}
+
+double imag(const EvtComplex& c){
+
+ return c._ipart;
+
+}
+
+EvtComplex exp(const EvtComplex& c){
+
+ return exp(c._rpart)*EvtComplex(cos(c._ipart),sin(c._ipart));
+
+}
+
+
+
+#endif
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtConst.cc
+//
+// Description: Routines to handle numerical constants in EvtGen
+//
+// Modification history:
+//
+// DJL/RYD August 8, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtConst.hh"
+
+const double EvtConst::pi = 3.14159265358979323846;
+const double EvtConst::twoPi = 2*pi;
+const double EvtConst::radToDegrees = 180./pi;
+
+const double EvtConst::c = 2.99792458E11; // mm/sec
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtConst.hh
+//
+// Description:Numerical constants used in EvtGen
+//
+// Modification history:
+//
+// DJL/RYD August 8, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTCONST_HH
+#define EVTCONST_HH
+
+class EvtConst {
+
+ public:
+
+ static const double pi;
+ static const double twoPi;
+ static const double radToDegrees;
+
+ static const double c;
+
+};
+
+#endif
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtCyclic3.cc,v 1.16 2009/02/18 03:31:37 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <assert.h>
+#include <string.h>
+#include <iostream>
+#include "EvtGenBase/EvtCyclic3.hh"
+using std::ostream;
+
+using namespace EvtCyclic3;
+
+
+Index EvtCyclic3::permute(Index i, Perm p)
+{
+ if(p == ABC) return i;
+ else if(p == BCA) {
+ if(i == A) return C;
+ else if(i == B) return A;
+ else if(i == C) return B;
+ }
+ else if(p == BCA) {
+ if(i == A) return C;
+ else if(i == B) return A;
+ else if(i == C) return B;
+ }
+ else if(p == CAB) {
+ if(i == A) return B;
+ else if(i == B) return C;
+ else if(i == C) return A;
+ }
+ else if(p == CBA) {
+ if(i == A) return C;
+ else if(i == B) return B;
+ else if(i == C) return A;
+ }
+ else if(p == BAC) {
+ if(i == A) return B;
+ else if(i == B) return A;
+ else if(i == C) return C;
+ }
+ else if(p == ACB) {
+ if(i == A) return A;
+ else if(i == B) return C;
+ else if(i == C) return B;
+ }
+ assert(0);
+ return A;
+}
+
+Perm EvtCyclic3::permutation(Index i1,Index i2,Index i3)
+{
+ assert(i1 != i2 && i2 != i3 && i3 != i1);
+ if(i1 == A) return (i2 == B) ? ABC : ACB;
+ if(i1 == B) return (i2 == C) ? BCA : BAC;
+ if(i1 == C) return (i2 == A) ? CAB : CBA;
+ assert(0);
+ return ABC;
+}
+
+
+Perm EvtCyclic3::permute(Perm i,Perm p)
+{
+ Index i1 = permute(permute(A,i),p);
+ Index i2 = permute(permute(B,i),p);
+ Index i3 = permute(permute(C,i),p);
+
+ return permutation(i1,i2,i3);
+}
+
+Pair EvtCyclic3::permute(Pair i, Perm p)
+{
+ Index i1 = permute(first(i),p);
+ Index i2 = permute(second(i),p);
+ return combine(i1,i2);
+}
+
+
+Pair EvtCyclic3::i2pair(int i)
+{
+ assert(0<=i && i<=2);
+ switch(i) {
+ case 0: return BC;
+ case 1: return CA;
+ case 2: return AB;
+ }
+ assert(0); return AB; // should never get here
+}
+
+
+
+Index EvtCyclic3::prev(Index i)
+{
+ switch(i) {
+ case A: return C;
+ case B: return A;
+ case C: return B;
+ }
+ assert(0); return A; // should never get here
+}
+
+
+Index EvtCyclic3::next(Index i)
+{
+ switch(i) {
+ case A: return B;
+ case B: return C;
+ case C: return A;
+ }
+ assert(0); return A; // should never get here
+}
+
+
+Index EvtCyclic3::other(Index i, Index j)
+{
+ assert(i != j);
+ switch(i) {
+ case A:
+ switch(j) {
+ case B: return C;
+ case C: return B;
+ default: assert(0);
+ }
+ case B:
+ switch(j) {
+ case C: return A;
+ case A: return C;
+ default: assert(0);
+ }
+ case C:
+ switch(j) {
+ case A: return B;
+ case B: return A;
+ default: assert(0);
+ }
+ }
+ assert(0); return A; // should never get here
+}
+
+
+// Index-to-pair conversions
+
+Pair EvtCyclic3::other(Index i)
+{
+ switch(i) {
+ case A: return BC;
+ case B: return CA;
+ case C: return AB;
+ }
+ assert(0); return AB; // should never get here
+}
+
+
+Pair EvtCyclic3::combine(Index i, Index j)
+{
+ return other(other(i,j));
+}
+
+
+// Pair-to-pair conversions
+
+Pair EvtCyclic3::prev(Pair i)
+{
+ Pair ret = CA;
+ if(i == BC) ret = AB;
+ else
+ if(i == CA) ret = BC;
+
+ return ret;
+}
+
+Pair EvtCyclic3::next(Pair i)
+{
+ Pair ret = BC;
+ if(i == BC) ret = CA;
+ else
+ if(i == CA) ret = AB;
+
+ return ret;
+}
+
+Pair EvtCyclic3::other(Pair i, Pair j)
+{
+ return combine(other(i),other(j));
+}
+
+
+// Pair-to-index conversions
+
+
+Index EvtCyclic3::first(Pair i)
+{
+ switch(i) {
+ case BC: return B;
+ case CA: return C;
+ case AB: return A;
+ }
+ assert(0); return A; // should never get here
+}
+
+
+Index EvtCyclic3::second(Pair i)
+{
+ switch(i) {
+ case BC: return C;
+ case CA: return A;
+ case AB: return B;
+ }
+ assert(0); return A; // should never get here
+}
+
+
+Index EvtCyclic3::other(Pair i)
+{
+ switch(i) {
+ case BC: return A;
+ case CA: return B;
+ case AB: return C;
+ }
+ assert(0); return A; // should never get here
+}
+
+
+Index EvtCyclic3::common(Pair i, Pair j)
+{
+ return other(other(i,j));
+}
+
+
+Index EvtCyclic3::strToIndex(const char* str)
+{
+ if(strcmp(str,"A")) return A;
+ else if(strcmp(str,"B")) return B;
+ else if(strcmp(str,"C")) return C;
+ else assert(0);
+}
+
+
+Pair EvtCyclic3::strToPair(const char* str)
+{
+ if(!strcmp(str,"AB") || !strcmp(str,"BA")) return AB;
+ else if(!strcmp(str,"BC") || !strcmp(str,"CB")) return BC;
+ else if(!strcmp(str,"CA") || !strcmp(str,"AC")) return CA;
+ else assert(0);
+}
+
+
+const char* EvtCyclic3::c_str(Index i)
+{
+ switch(i) {
+ case A: return "A";
+ case B: return "B";
+ case C: return "C";
+ }
+ assert(0); return 0; // sngh
+}
+
+
+const char* EvtCyclic3::c_str(Pair i)
+{
+ switch(i) {
+ case BC: return "BC";
+ case CA: return "CA";
+ case AB: return "AB";
+ }
+ assert(0); return 0; // sngh
+}
+
+const char* EvtCyclic3::c_str(Perm p)
+{
+ if(p == ABC) return "ABC";
+ if(p == BCA) return "BCA";
+ if(p == CAB) return "CAB";
+ if(p == CBA) return "CBA";
+ if(p == BAC) return "BAC";
+ if(p == ACB) return "ACB";
+ assert(0);
+ return "ABC";
+}
+
+char* EvtCyclic3::append(const char* str, EvtCyclic3::Index i)
+{
+ // str + null + 1 character
+ char* s = new char[strlen(str)+2];
+ strcpy(s,str);
+ strcat(s,c_str(i));
+
+ return s;
+}
+
+char* EvtCyclic3::append(const char* str, EvtCyclic3::Pair i)
+{
+ // str + null + 2 characters
+ char* s = new char[strlen(str)+3];
+ strcpy(s,str);
+ strcat(s,c_str(i));
+
+ return s;
+}
+
+
+ostream& operator<<(ostream& os, EvtCyclic3::Index i)
+{
+ switch(i) {
+ case A: { os << "A"; return os; }
+ case B: { os << "B"; return os; }
+ case C: { os << "C"; return os; }
+ }
+ assert(0); return os; // should never get here
+}
+
+
+ostream& operator<<(ostream& os, EvtCyclic3::Pair i)
+{
+ switch(i) {
+ case BC: { os << "BC"; return os; }
+ case CA: { os << "CA"; return os; }
+ case AB: { os << "AB"; return os; }
+ }
+ assert(0); return os; // should never get here
+}
+
+
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtCyclic3.hh,v 1.12 2009/02/15 18:09:01 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Cyclic permutations of three indices A,B,C and their parings
+
+#ifndef EVT_CYCLIC3_HH
+#define EVT_CYCLIC3_HH
+
+#include <iosfwd>
+
+namespace EvtCyclic3 {
+
+
+ enum Index {A=0,B=1,C=2};
+ enum Pair {BC=0,CB=BC,CA=1,AC=CA,AB=2,BA=AB};
+ enum Perm {ABC=0,BCA=1,CAB=2,CBA=3,BAC=4,ACB=5};
+
+ // Permutations (multiplication is not transitive)
+
+ Index permute(Index i, Perm p);
+ Perm permutation(Index i1,Index i2,Index i3);
+ Perm permute(Perm i, Perm p);
+ Pair permute(Pair i, Perm p);
+
+ Pair i2pair(int i);
+
+ // Index-to-index
+
+ Index prev(Index i);
+ Index next(Index i) ;
+ Index other(Index i, Index j);
+
+ // Index-to-pair
+
+ Pair other(Index i);
+ Pair combine(Index i, Index j);
+
+
+ // Pair-to-pair conversions
+
+ Pair prev(Pair i);
+ Pair next(Pair i);
+ Pair other(Pair i, Pair j);
+
+ // Pair-to-index conversions
+
+
+ Index first(Pair i);
+ Index second(Pair i);
+ Index other(Pair i) ;
+ Index common(Pair i, Pair j);
+
+ // String to Index, Pair
+
+ Index strToIndex(const char* str);
+ Pair strToPair(const char* str);
+
+ // To string conversions
+
+ const char* c_str(Index i);
+ const char* c_str(Pair i);
+ const char* c_str(Perm i);
+
+ // Useful name strings
+
+ char* append(const char* str, EvtCyclic3::Index i);
+ char* append(const char* str, EvtCyclic3::Pair i);
+
+}
+
+//where should these go?
+//ostream& operator<<(ostream&, EvtCyclic3::Index);
+//ostream& operator<<(ostream&, EvtCyclic3::Pair);
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzCoord.cc,v 1.3 2004/12/21 19:58:42 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <assert.h>
+#include <iostream>
+#include "EvtGenBase/EvtDalitzCoord.hh"
+using std::endl;
+using std::ostream;
+using EvtCyclic3::Pair;
+
+
+// For coordinates it's good to alway have a
+// default ctor. Initialize to something invalid.
+
+EvtDalitzCoord::EvtDalitzCoord()
+ : _i1(EvtCyclic3::AB), _i2(EvtCyclic3::BC), _q1(-1.), _q2(-1.)
+{}
+
+EvtDalitzCoord::EvtDalitzCoord(const EvtDalitzCoord& other)
+ : _i1(other._i1), _i2(other._i2), _q1(other._q1), _q2(other._q2)
+{}
+
+
+EvtDalitzCoord::EvtDalitzCoord(Pair i1, double q1, Pair i2, double q2)
+ : _i1(i1), _i2(i2),_q1(q1),_q2(q2)
+{}
+
+
+EvtDalitzCoord::~EvtDalitzCoord()
+{}
+
+
+bool EvtDalitzCoord::operator==(const EvtDalitzCoord& other) const
+{
+ return (_i1 == other._i1 && _i2 == other._i2 &&
+ _q1 == other._q1 && _q2 == other._q2);
+}
+
+void EvtDalitzCoord::print(ostream& os) const
+{
+ os << _i1 << " " << _q1 << endl;
+ os << _i2 << " " << _q2 << endl;
+}
+
+
+ostream& operator<<(ostream& os,const EvtDalitzCoord& p)
+{
+ p.print(os);
+ return os;
+}
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzCoord.hh,v 1.3 2004/08/06 06:08:24 bartoldu Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Two dimensional coordinate of a point in a Dalitz plot
+
+#ifndef EVT_DALITZ_COORD_HH
+#define EVT_DALITZ_COORD_HH
+
+#include "EvtGenBase/EvtCyclic3.hh"
+
+#include <iostream>
+
+class EvtDalitzCoord {
+
+
+public:
+
+ // ctor, dtor
+
+ EvtDalitzCoord();
+ EvtDalitzCoord(EvtCyclic3::Pair i1, double q1, EvtCyclic3::Pair i2, double q2);
+ EvtDalitzCoord(const EvtDalitzCoord& other);
+ ~EvtDalitzCoord();
+
+ inline EvtCyclic3::Pair pair1() const { return _i1; }
+ inline EvtCyclic3::Pair pair2() const { return _i2; }
+ inline double q1() const { return _q1; }
+ inline double q2() const { return _q2; }
+
+
+ // It's nice to have an equality operator for
+ // a coordinate. However, beware effects of numerical precision
+
+ bool operator==(const EvtDalitzCoord&) const;
+
+ void print(std::ostream&) const;
+
+private:
+
+ // Two coordinates define the point
+
+ EvtCyclic3::Pair _i1;
+ EvtCyclic3::Pair _i2;
+
+ double _q1;
+ double _q2;
+};
+
+std::ostream& operator<<(std::ostream&,const EvtDalitzCoord&);
+
+#endif
+
+
+
+
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzFlatPdf.cc,v 1.4 2004/12/21 19:58:42 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtDalitzFlatPdf.hh"
+
+EvtDalitzFlatPdf::EvtDalitzFlatPdf(const EvtDalitzPlot& dp)
+ : EvtPdf<EvtDalitzPoint>(), _dp(dp)
+{}
+
+EvtDalitzFlatPdf::EvtDalitzFlatPdf(const EvtDalitzFlatPdf& other)
+ : EvtPdf<EvtDalitzPoint>(other), _dp(other._dp)
+{}
+
+EvtDalitzFlatPdf::~EvtDalitzFlatPdf()
+{}
+
+EvtPdf<EvtDalitzPoint>* EvtDalitzFlatPdf::clone() const
+{
+ return new EvtDalitzFlatPdf(*this);
+}
+
+double EvtDalitzFlatPdf::pdf(const EvtDalitzPoint&) const
+{
+ return 1.;
+}
+
+EvtValError EvtDalitzFlatPdf::compute_integral(int N) const
+{
+ return EvtValError(_dp.getArea(N),0.);
+}
+
+EvtDalitzPoint EvtDalitzFlatPdf::randomPoint()
+{
+ // To obtain a uniform distribution generate
+ // in terms of q's. Generate in a box that circumscribes the
+ // Dalitz plot. Accept points inside. If there are two
+ // many unsuccessful attempts it's a hint that the Dalitz plot
+ // area is tiny compared to the box. It's a pathological
+ // case. Abort.
+
+ EvtCyclic3::Pair pair1 = EvtCyclic3::BC;
+ EvtCyclic3::Pair pair2 = EvtCyclic3::CA;
+
+ int n = 0;
+ int maxTries = 1000;
+ while(n++ < maxTries) {
+
+ double q1 = EvtRandom::Flat(_dp.qAbsMin(pair1),_dp.qAbsMax(pair2));
+ double q2 = EvtRandom::Flat(_dp.qAbsMin(pair2),_dp.qAbsMax(pair2));
+
+ EvtDalitzCoord point(pair1,q1,pair2,q2);
+ EvtDalitzPoint x(_dp,point);
+
+ if(x.isValid()) return x;
+ }
+
+ printf("No point generated for dalitz plot after %d tries\n",maxTries);
+ assert(0);
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzFlatPdf.hh,v 1.1 2003/06/20 17:20:03 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+/*
+ * Uniform PDF defined on a Dalitz plot.
+ */
+
+#ifndef EVT_DALITZ_FLAT_PDF_HH
+#define EVT_DALITZ_FLAT_PDF_HH
+
+#include <assert.h>
+#include "EvtGenBase/EvtPdf.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+
+class EvtDalitzFlatPdf : public EvtPdf<EvtDalitzPoint> {
+public:
+
+ EvtDalitzFlatPdf(const EvtDalitzPlot& dp);
+ EvtDalitzFlatPdf(const EvtDalitzFlatPdf& other);
+ virtual ~EvtDalitzFlatPdf();
+ virtual EvtPdf<EvtDalitzPoint>* clone() const;
+
+ virtual EvtValError compute_integral(int N) const;
+ virtual EvtDalitzPoint randomPoint();
+
+protected:
+
+ virtual double pdf(const EvtDalitzPoint&) const;
+
+ EvtDalitzPlot _dp;
+};
+
+#endif
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtDalitzPlot.cc,v 1.23 2004/12/21 19:58:42 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+// Global 3-body Dalitz decay kinematics as defined by the mass
+// of the mother and the daughters. Spins are not considered.
+
+#include <math.h>
+#include <assert.h>
+#include <stdio.h>
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtDecayMode.hh"
+
+using namespace EvtCyclic3;
+
+
+EvtDalitzPlot::EvtDalitzPlot()
+ : _mA(0.), _mB(0.), _mC(0.), _bigM(0.),
+ _ldel(0.), _rdel(0.)
+{}
+
+
+EvtDalitzPlot::EvtDalitzPlot(double mA, double mB, double mC, double bigM,
+ double ldel, double rdel)
+ : _mA(mA), _mB(mB), _mC(mC), _bigM(bigM),
+ _ldel(ldel), _rdel(rdel)
+{
+ sanityCheck();
+}
+
+EvtDalitzPlot::EvtDalitzPlot(const EvtDecayMode& mode, double ldel, double rdel )
+{
+ _mA = EvtPDL::getMeanMass(EvtPDL::getId(mode.dau(A)));
+ _mB = EvtPDL::getMeanMass(EvtPDL::getId(mode.dau(B)));
+ _mC = EvtPDL::getMeanMass(EvtPDL::getId(mode.dau(C)));
+ _bigM = EvtPDL::getMeanMass(EvtPDL::getId(mode.mother()));
+
+ _ldel = ldel;
+ _rdel = rdel;
+
+ sanityCheck();
+}
+
+
+EvtDalitzPlot::EvtDalitzPlot(const EvtDalitzPlot& other)
+ : _mA(other._mA), _mB(other._mB), _mC(other._mC), _bigM(other._bigM),
+ _ldel(other._ldel), _rdel(other._rdel)
+{}
+
+
+EvtDalitzPlot::~EvtDalitzPlot()
+{}
+
+
+bool EvtDalitzPlot::operator==(const EvtDalitzPlot& other) const
+{
+ bool ret = false;
+ if(_mA == other._mA &&
+ _mB == other._mB &&
+ _mC == other._mC &&
+ _bigM == other._bigM) ret = true;
+
+ return ret;
+}
+
+
+const EvtDalitzPlot* EvtDalitzPlot::clone() const
+{
+ return new EvtDalitzPlot(*this);
+}
+
+
+void EvtDalitzPlot::sanityCheck() const
+{
+ if(_mA < 0 || _mB < 0 || _mC < 0 || _bigM <= 0 || _bigM - _mA - _mB - _mC < 0.) {
+
+ printf("Invalid Dalitz plot %f %f %f %f\n",_mA,_mB,_mC,_bigM);
+ assert(0);
+ }
+ assert(_ldel <= 0.);
+ assert(_rdel >= 0.);
+}
+
+
+double EvtDalitzPlot::m(Index i) const {
+
+ double m = _mA;
+ if(i == B) m = _mB;
+ else
+ if(i == C) m = _mC;
+
+ return m;
+}
+
+
+double EvtDalitzPlot::sum() const
+{
+ return _mA*_mA + _mB*_mB + _mC*_mC + _bigM*_bigM;
+}
+
+
+double EvtDalitzPlot::qAbsMin(Pair i) const
+{
+ Index j = first(i);
+ Index k = second(i);
+
+ return (m(j) + m(k))*(m(j) + m(k));
+}
+
+
+double EvtDalitzPlot::qAbsMax(Pair i) const
+{
+ Index j = other(i);
+ return (_bigM-m(j))*(_bigM-m(j));
+}
+
+
+double EvtDalitzPlot::qResAbsMin(EvtCyclic3::Pair i) const
+{
+ return qAbsMin(i) - sum()/3.;
+}
+
+double EvtDalitzPlot::qResAbsMax(EvtCyclic3::Pair i) const
+{
+ return qAbsMax(i) - sum()/3.;
+}
+
+double EvtDalitzPlot::qHelAbsMin(EvtCyclic3::Pair i) const
+{
+ Pair j = next(i);
+ Pair k = prev(i);
+ return (qAbsMin(j) - qAbsMax(k))/2.;
+}
+
+double EvtDalitzPlot::qHelAbsMax(EvtCyclic3::Pair i) const
+{
+ Pair j = next(i);
+ Pair k = prev(i);
+ return (qAbsMax(j) - qAbsMin(k))/2.;
+}
+
+
+double EvtDalitzPlot::mAbsMin(Pair i) const
+{
+ return sqrt(qAbsMin(i));
+}
+
+
+double EvtDalitzPlot::mAbsMax(Pair i) const
+{
+ return sqrt(qAbsMax(i));
+}
+
+
+// parallel
+
+double EvtDalitzPlot::qMin(Pair i, Pair j, double q) const
+{
+ if(i == j) return q;
+
+ else {
+
+ // Particle pair j defines the rest-frame
+ // 0 - particle common to r.f. and angle calculations
+ // 1 - particle belonging to r.f. but not angle
+ // 2 - particle not belonging to r.f.
+
+ Index k0 = common(i,j);
+ Index k2 = other(j);
+ Index k1 = other(k0,k2);
+
+ // Energy, momentum of particle common to rest-frame and angle
+ EvtTwoBodyKine jpair(m(k0),m(k1),sqrt(q));
+ double pk = jpair.p();
+ double ek = jpair.e(EvtTwoBodyKine::A,EvtTwoBodyKine::AB);
+
+
+ // Energy and momentum of the other particle
+ EvtTwoBodyKine mother(sqrt(q),m(k2),bigM());
+ double ej = mother.e(EvtTwoBodyKine::B,EvtTwoBodyKine::A);
+ double pj = mother.p(EvtTwoBodyKine::A);
+
+
+ // See PDG 34.4.3.1
+ return (ek+ej)*(ek+ej) - (pk+pj)*(pk+pj);
+ }
+}
+
+
+// antiparallel
+
+double EvtDalitzPlot::qMax(Pair i, Pair j, double q) const
+{
+
+ if(i == j) return q;
+ else {
+
+ // Particle pair j defines the rest-frame
+ // 0 - particle common to r.f. and angle calculations
+ // 1 - particle belonging to r.f. but not angle
+ // 2 - particle not belonging to r.f.
+
+ Index k0 = common(i,j);
+ Index k2 = other(j);
+ Index k1 = other(k0,k2);
+
+ // Energy, momentum of particle common to rest-frame and angle
+ EvtTwoBodyKine jpair(m(k0),m(k1),sqrt(q));
+ double ek = jpair.e(EvtTwoBodyKine::A,EvtTwoBodyKine::AB);
+ double pk = jpair.p();
+
+ // Energy and momentum of the other particle
+ EvtTwoBodyKine mother(sqrt(q),m(k2),bigM());
+ double ej = mother.e(EvtTwoBodyKine::B,EvtTwoBodyKine::A);
+ double pj = mother.p(EvtTwoBodyKine::A);
+
+
+ // See PDG 34.4.3.1
+ return (ek+ej)*(ek+ej) - (pk-pj)*(pk-pj);
+ }
+}
+
+
+double EvtDalitzPlot::getArea(int N, Pair i, Pair j) const
+{
+ // Trapezoidal integral over qi. qj can be calculated.
+ // The first and the last point are zero, so they are not counted
+
+ double dh = (qAbsMax(i) - qAbsMin(i))/((double) N);
+ double sum = 0;
+
+ int ii;
+ for(ii=1;ii<N;ii++) {
+
+ double x = qAbsMin(i) + ii*dh;
+ double dy = qMax(j,i,x) - qMin(j,i,x);
+ sum += dy;
+ }
+
+ return sum * dh;
+}
+
+
+double EvtDalitzPlot::cosTh(EvtCyclic3::Pair i1, double q1, EvtCyclic3::Pair i2, double q2) const
+{
+ if(i1 == i2) return 1.;
+
+ double qmax = qMax(i1,i2,q2);
+ double qmin = qMin(i1,i2,q2);
+
+ double cos = (qmax + qmin - 2*q1)/(qmax - qmin);
+
+ return cos;
+}
+
+
+double EvtDalitzPlot::e(Index i, Pair j, double q) const
+{
+ if(i == other(j)) {
+
+ // i does not belong to pair j
+
+ return (bigM()*bigM()-q-m(i)*m(i))/2/sqrt(q);
+ }
+ else {
+
+ // i and k make pair j
+
+ Index k;
+ if(first(j) == i) k = second(j);
+ else k = first(j);
+
+ double e = (q + m(i)*m(i) - m(k)*m(k))/2/sqrt(q);
+ return e;
+ }
+}
+
+
+double EvtDalitzPlot::p(Index i, Pair j, double q) const
+{
+ double en = e(i,j,q);
+ double p2 = en*en - m(i)*m(i);
+
+ if(p2 < 0) {
+ printf("Bad value of p2 %f %d %d %f %f\n",p2,i,j,en,m(i));
+ assert(0);
+ }
+
+ return sqrt(p2);
+}
+
+
+double EvtDalitzPlot::q(EvtCyclic3::Pair i1, double cosTh, EvtCyclic3::Pair i2, double q2) const
+{
+ if(i1 == i2) return q2;
+
+ EvtCyclic3::Index f = first(i1);
+ EvtCyclic3::Index s = second(i1);
+ return m(f)*m(f) + m(s)*m(s) + 2*e(f,i2,q2)*e(s,i2,q2) - 2*p(f,i2,q2)*p(s,i2,q2)*cosTh;
+}
+
+
+double EvtDalitzPlot::jacobian(EvtCyclic3::Pair i, double q) const
+{
+ return 2*p(first(i),i,q)*p(other(i),i,q); // J(BC) = 2pA*pB = 2pA*pC
+}
+
+
+EvtTwoBodyVertex EvtDalitzPlot::vD(Pair iRes, double m0, int L) const
+{
+ return EvtTwoBodyVertex(m(first(iRes)),
+ m(second(iRes)),m0,L);
+}
+
+
+EvtTwoBodyVertex EvtDalitzPlot::vB(Pair iRes, double m0, int L) const
+{
+ return EvtTwoBodyVertex(m0,m(other(iRes)),bigM(),L);
+}
+
+
+void EvtDalitzPlot::print() const
+{
+ // masses
+ printf("Mass M %f\n",bigM());
+ printf("Mass mA %f\n",_mA);
+ printf("Mass mB %f\n",_mB);
+ printf("Mass mC %f\n",_mC);
+ // limits
+ printf("Limits qAB %f : %f\n",qAbsMin(AB),qAbsMax(AB));
+ printf("Limits qBC %f : %f\n",qAbsMin(BC),qAbsMax(BC));
+ printf("Limits qCA %f : %f\n",qAbsMin(CA),qAbsMax(CA));
+ printf("Sum q %f\n",sum());
+ printf("Limit qsum %f : %f\n",qSumMin(),qSumMax());
+}
+
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtDalitzPlot.hh,v 1.16 2003/06/20 17:20:03 dvoretsk Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+
+#ifndef EVT_DALITZ_PLOT_HH
+#define EVT_DALITZ_PLOT_HH
+
+#include <assert.h>
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtDecayMode.hh"
+
+class EvtDalitzPlot {
+public:
+
+ EvtDalitzPlot();
+ EvtDalitzPlot(double mA, double mB, double mC, double bigM, double ldel = 0., double rdel = 0.);
+ EvtDalitzPlot(const EvtDecayMode& mode, double ldel = 0., double rdel = 0.);
+ EvtDalitzPlot(const EvtDalitzPlot& other);
+ ~EvtDalitzPlot();
+ bool operator==(const EvtDalitzPlot& other) const;
+ const EvtDalitzPlot* clone() const;
+
+
+ // Absolute limits for masses squared in the Dalitz plot
+ // e.g. qAbsMin(0) is the lowest possible value
+ // for m2 of particles {12}
+
+ double qAbsMin(EvtCyclic3::Pair i) const;
+ double qAbsMax(EvtCyclic3::Pair i) const;
+ double mAbsMin(EvtCyclic3::Pair i) const;
+ double mAbsMax(EvtCyclic3::Pair i) const;
+
+ // Absolute limits for Zemach coordinate qres and qhel (approximate)
+ // qHelAbsMin(BC,CA) means absolute minimum for (qCA-qAB)/2.
+
+ double qResAbsMin(EvtCyclic3::Pair i) const;
+ double qResAbsMax(EvtCyclic3::Pair i) const;
+ double qHelAbsMin(EvtCyclic3::Pair i) const;
+ double qHelAbsMax(EvtCyclic3::Pair i) const;
+ inline double qSumMin() const { return sum() + _ldel; }
+ inline double qSumMax() const { return sum() + _rdel; }
+ inline bool fuzzy() const { return (_rdel - _ldel != 0.); }
+
+ // Find the area of the Dalitz plot by numeric integration. (N bins for variable q(i) are used).
+ // Very large numbers of N can result in a very long calculation. It should not
+ // matter which two pairs f variables are used. The integral should eventually
+ // converge to the same number
+
+ double getArea(int N = 1000, EvtCyclic3::Pair i = EvtCyclic3::AB, EvtCyclic3::Pair j = EvtCyclic3::BC) const;
+
+ // Limits for masses squared when one mass squared is known
+
+ double qMin(EvtCyclic3::Pair i, EvtCyclic3::Pair j, double q) const;
+ double qMax(EvtCyclic3::Pair i, EvtCyclic3::Pair j, double q) const;
+
+
+ // Coordinate transformations
+
+ double cosTh(EvtCyclic3::Pair i1, double q1, EvtCyclic3::Pair i2, double q2) const;
+ double e(EvtCyclic3::Index i, EvtCyclic3::Pair j, double q) const;
+ double p(EvtCyclic3::Index i, EvtCyclic3::Pair j, double q) const;
+
+ double q(EvtCyclic3::Pair i1, double cosTh, EvtCyclic3::Pair i2, double q2) const;
+
+ // |J| of transformation of qi to cosTh in the rest-frame of j
+
+ double jacobian(EvtCyclic3::Pair i, double q) const;
+
+
+ // Given resonance index and mass returns decay
+ // and birth vertices
+
+ EvtTwoBodyVertex vD(EvtCyclic3::Pair iRes, double m0, int L) const;
+ EvtTwoBodyVertex vB(EvtCyclic3::Pair iRes, double m0, int L) const;
+
+ // Accessors
+
+ double sum() const;
+ inline double bigM() const { return _bigM; }
+ inline double mA() const { return _mA; }
+ inline double mB() const { return _mB; }
+ inline double mC() const { return _mC; }
+ double m(EvtCyclic3::Index i) const;
+
+
+ void print() const;
+
+ void sanityCheck() const;
+
+protected:
+
+ // Defines two dimensional dalitz plot
+
+ double _mA;
+ double _mB;
+ double _mC;
+ double _bigM;
+
+ // Defines third dimension, or fuzziness. M^2 + ldel < M^2 < M^2 + rdel
+
+ double _ldel;
+ double _rdel;
+
+};
+
+#endif
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzPoint.cc,v 1.14 2004/12/21 19:58:42 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include "EvtGenBase/EvtDalitzPoint.hh"
+using namespace EvtCyclic3;
+
+EvtDalitzPoint::EvtDalitzPoint()
+ : _mA(-1.), _mB(-1.), _mC(-1.), _qAB(-1.), _qBC(-1.), _qCA(-1.)
+{}
+
+EvtDalitzPoint::EvtDalitzPoint(double mA, double mB, double mC, double qAB, double qBC, double qCA)
+ : _mA(mA), _mB(mB), _mC(mC), _qAB(qAB), _qBC(qBC), _qCA(qCA)
+{}
+
+// Constructor from Zemach coordinates
+
+EvtDalitzPoint::EvtDalitzPoint(double mA, double mB, double mC,
+ EvtCyclic3::Pair i,
+ double qres, double qhel, double qsum)
+ : _mA(mA), _mB(mB), _mC(mC)
+{
+ double qi = qres + qsum/3.;
+ double qj = -qres/2. + qhel + qsum/3.;
+ double qk = -qres/2. - qhel + qsum/3.;
+
+ if(i == AB) { _qAB = qi; _qBC = qj; _qCA = qk; }
+ else if(i == BC) { _qAB = qk; _qBC = qi; _qCA = qj; }
+ else if(i == CA) { _qAB = qj; _qBC = qk; _qCA = qi; }
+}
+
+EvtDalitzPoint::EvtDalitzPoint(const EvtDalitzPlot& dp, const EvtDalitzCoord& x)
+ : _mA(dp.m(A)), _mB(dp.m(B)), _mC(dp.m(C))
+{
+ if(x.pair1() == AB) _qAB = x.q1();
+ else
+ if(x.pair2() == AB) _qAB = x.q2();
+ else _qAB = dp.sum() - x.q1() - x.q2();
+
+ if(x.pair1() == BC) _qBC = x.q1();
+ else
+ if(x.pair2() == BC) _qBC = x.q2();
+ else _qBC = dp.sum() - x.q1() - x.q2();
+
+ if(x.pair1() == CA) _qCA = x.q1();
+ else
+ if(x.pair2() == CA) _qCA = x.q2();
+ else _qCA = dp.sum() - x.q1() - x.q2();
+
+}
+
+EvtDalitzPoint::EvtDalitzPoint(const EvtDalitzPoint& other)
+ : _mA(other._mA), _mB(other._mB), _mC(other._mC),
+ _qAB(other._qAB), _qBC(other._qBC), _qCA(other._qCA)
+{}
+
+EvtDalitzPoint::~EvtDalitzPoint()
+{}
+
+double EvtDalitzPoint::q(EvtCyclic3::Pair i) const
+{
+ double ret = _qAB;
+ if(BC == i) ret = _qBC;
+ else
+ if(CA == i) ret = _qCA;
+
+ return ret;
+}
+
+double EvtDalitzPoint::m(EvtCyclic3::Index i) const
+{
+ double ret = _mA;
+ if(B == i) ret = _mB;
+ else
+ if(C == i) ret = _mC;
+
+ return ret;
+}
+
+// Zemach variables
+
+double EvtDalitzPoint::qres(EvtCyclic3::Pair i) const
+{
+ return (2.*q(i) - q(EvtCyclic3::prev(i)) - q(EvtCyclic3::next(i)))/3.;
+}
+double EvtDalitzPoint::qhel(EvtCyclic3::Pair i) const
+{
+ Pair j = next(i);
+ Pair k = prev(i);
+ return (q(j) - q(k))/2.;
+}
+double EvtDalitzPoint::qsum() const
+{
+ return _qAB + _qBC + _qCA;
+}
+
+
+double EvtDalitzPoint::qMin(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const
+{
+ EvtDalitzPlot dp = getDalitzPlot();
+ return dp.qMin(i,j,q(j));
+}
+
+double EvtDalitzPoint::qMax(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const
+{
+ EvtDalitzPlot dp = getDalitzPlot();
+ return dp.qMax(i,j,q(j));
+}
+
+double EvtDalitzPoint::pp(EvtCyclic3::Index i, EvtCyclic3::Index j) const
+{
+ if(i == j) return m(i)*m(i);
+ else return (q(combine(i,j)) - m(i)*m(i) - m(j)*m(j))/2.;
+}
+
+double EvtDalitzPoint::e(EvtCyclic3::Index i, EvtCyclic3::Pair j) const
+{
+ EvtDalitzPlot dp = getDalitzPlot();
+ return dp.e(i,j,q(j));
+}
+
+double EvtDalitzPoint::p(EvtCyclic3::Index i, EvtCyclic3::Pair j) const
+{
+ EvtDalitzPlot dp = getDalitzPlot();
+ return dp.p(i,j,q(j));
+}
+
+double EvtDalitzPoint::cosTh(EvtCyclic3::Pair pairAng, EvtCyclic3::Pair pairRes) const
+{
+ EvtDalitzPlot dp = getDalitzPlot();
+ return dp.cosTh(pairAng,q(pairAng),pairRes,q(pairRes));
+}
+
+
+EvtDalitzCoord EvtDalitzPoint::getDalitzPoint(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const
+{
+ return EvtDalitzCoord(i,q(i),j,q(j));
+}
+
+
+EvtDalitzPlot EvtDalitzPoint::getDalitzPlot() const
+{
+ return EvtDalitzPlot(_mA,_mB,_mC,bigM());
+}
+
+bool EvtDalitzPoint::isValid() const
+{
+ // Check masses
+
+ double M = bigM();
+ if(_mA < 0 || _mB < 0 || _mC < 0 || M <= 0) return false;
+ if(M < _mA + _mB + _mC) return false;
+
+ // Check that first coordinate is within absolute limits
+
+ bool inside = false;
+ EvtDalitzPlot dp = getDalitzPlot();
+
+ if(dp.qAbsMin(AB) <= _qAB && _qAB <= dp.qAbsMax(AB))
+ if(qMin(BC,AB) <= _qBC && _qBC <= qMax(BC,AB))
+ inside = true;
+
+ return inside;
+}
+
+double EvtDalitzPoint::bigM() const
+{
+ return sqrt(_qAB+_qBC+_qCA - _mA*_mA - _mB*_mB - _mC*_mC);
+}
+
+
+void EvtDalitzPoint::print() const
+{
+ getDalitzPlot().print();
+ printf("%f %f %f\n",_qAB,_qBC,_qCA);
+}
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzPoint.hh,v 1.10 2003/06/19 02:17:11 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// This class describes the complete kinematics of the Dalitz decay.
+// It holds all the six invariant momentum products, three daughter
+// particle masses and three invariant masses of pairs of particles.
+// This description is completely symmetric with respect to particle
+// permutations.
+//
+// Another way to slice the six coordinate is to make a transformation
+// to the mass of the decaying particle. The four masses make up a
+// Dalitz plot. The other two are coordinates of a point in the plot.
+
+#ifndef EVT_DALITZ_POINT_HH
+#define EVT_DALITZ_POINT_HH
+
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtDalitzCoord.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+
+class EvtDalitzPoint {
+
+public:
+
+ EvtDalitzPoint();
+ EvtDalitzPoint(double mA, double mB, double mC,
+ double qAB, double qBC, double qCA);
+ EvtDalitzPoint(double mA, double mB, double mC,
+ EvtCyclic3::Pair i, double qres, double qhel, double qsum);
+ EvtDalitzPoint(const EvtDalitzPlot&, const EvtDalitzCoord&);
+ EvtDalitzPoint(const EvtDalitzPoint& other);
+ ~EvtDalitzPoint();
+
+ EvtDalitzCoord getDalitzPoint(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const;
+ EvtDalitzPlot getDalitzPlot() const;
+
+ double q(EvtCyclic3::Pair) const;
+ double bigM() const;
+ double m(EvtCyclic3::Index) const;
+
+ // Zemach variables
+
+ double qres(EvtCyclic3::Pair i) const;
+ double qhel(EvtCyclic3::Pair i) const;
+ double qsum() const;
+
+ // Kinematic quantities
+ //
+ // pp - 4 momentum product
+ // e,p,cosTh - energy/moementum in rest-frame of j
+
+
+ double qMin(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const;
+ double qMax(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const;
+ double pp(EvtCyclic3::Index i, EvtCyclic3::Index j) const;
+ double e(EvtCyclic3::Index i, EvtCyclic3::Pair j) const;
+ double p(EvtCyclic3::Index i, EvtCyclic3::Pair j) const;
+ double cosTh(EvtCyclic3::Pair pairAng, EvtCyclic3::Pair pairRes) const;
+
+ bool isValid() const;
+
+ void print() const;
+
+private:
+
+ double _mA, _mB, _mC; // masses
+ double _qAB, _qBC, _qCA; // masses squared
+};
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzResPdf.cc,v 1.5 2004/12/21 19:58:42 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <stdio.h>
+#include <math.h>
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtDalitzResPdf.hh"
+#include "EvtGenBase/EvtDalitzCoord.hh"
+#include "EvtGenBase/EvtRandom.hh"
+using namespace EvtCyclic3;
+
+EvtDalitzResPdf::EvtDalitzResPdf(const EvtDalitzPlot& dp,
+ double _m0, double _g0, EvtCyclic3::Pair pair)
+ : EvtPdf<EvtDalitzPoint>(),
+ _dp(dp), _m0(_m0), _g0(_g0), _pair(pair)
+{}
+
+
+EvtDalitzResPdf::EvtDalitzResPdf(const EvtDalitzResPdf& other)
+ : EvtPdf<EvtDalitzPoint>(other),
+ _dp(other._dp),_m0(other._m0), _g0(other._g0), _pair(other._pair)
+{}
+
+
+EvtDalitzResPdf::~EvtDalitzResPdf()
+{}
+
+EvtValError EvtDalitzResPdf::compute_integral(int N) const
+{
+ assert(N != 0);
+
+ EvtCyclic3::Pair i = _pair;
+ EvtCyclic3::Pair j = EvtCyclic3::next(i);
+
+ // Trapezoidal integral
+
+ double dh = (_dp.qAbsMax(j) - _dp.qAbsMin(j))/((double) N);
+ double sum = 0;
+
+ int ii;
+ for(ii=1;ii<N;ii++) {
+
+ double x = _dp.qAbsMin(j) + ii*dh;
+ double min = (_dp.qMin(i,j,x) - _m0*_m0)/_m0/_g0;
+ double max = (_dp.qMax(i,j,x) - _m0*_m0)/_m0/_g0;
+ double itg = 1/EvtConst::pi*(atan(max) - atan(min));
+ sum += itg;
+ }
+ EvtValError ret(sum*dh,0.);
+
+ return ret;
+}
+
+
+EvtDalitzPoint EvtDalitzResPdf::randomPoint()
+{
+ // Random point generation must be done in a box encompassing the
+ // Dalitz plot
+
+
+ EvtCyclic3::Pair i = _pair;
+ EvtCyclic3::Pair j = EvtCyclic3::next(i);
+ double min = 1/EvtConst::pi*atan((_dp.qAbsMin(i) - _m0*_m0)/_m0/_g0);
+ double max = 1/EvtConst::pi*atan((_dp.qAbsMax(i) - _m0*_m0)/_m0/_g0);
+
+ int n = 0;
+ while(n++ < 1000) {
+
+ double qj = EvtRandom::Flat(_dp.qAbsMin(j),_dp.qAbsMax(j));
+ double r = EvtRandom::Flat(min,max);
+ double qi = tan(EvtConst::pi*r)*_g0*_m0 + _m0*_m0;
+ EvtDalitzCoord x(i,qi,j,qj);
+ EvtDalitzPoint ret(_dp,x);
+ if(ret.isValid()) return ret;
+ }
+
+ // All generated points turned out to be outside of the Dalitz plot
+ // (in the outer box)
+
+ printf("No point generated for dalitz plot after 1000 tries\n");
+ assert(0);
+}
+
+
+double EvtDalitzResPdf::pdf(const EvtDalitzPoint& x) const
+{
+ EvtCyclic3::Pair i = _pair;
+ double dq = x.q(i) - _m0*_m0;
+ return 1/EvtConst::pi*_g0*_m0/(dq*dq + _g0*_g0*_m0*_m0);
+}
+
+
+double EvtDalitzResPdf::pdfMaxValue() const
+{
+ return 1/(EvtConst::pi*_g0*_m0);
+}
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzResPdf.hh,v 1.2 2003/06/20 17:20:04 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+/*
+ * Pole compensating function for terms that exibit a resonant structure
+ * in one dimension only.
+ *
+ * f = 1 g*m0
+ * -- ------------------
+ * pi (q-q0)^2 + g^2m0^2
+ *
+ * m is the mass of the resonance, g is its width. The approximation works well for a narrow
+ * resonance. It is also readily integrable over the Dalitz plot coordinate to produce
+ *
+ * Int = 1/pi atan((q-q0)/(g*m0))
+ */
+
+#ifndef EVT_DALITZ_RES_PDF_HH
+#define EVT_DALITZ_RES_PDF_HH
+
+#include "EvtGenBase/EvtPdf.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+
+class EvtDalitzResPdf : public EvtPdf<EvtDalitzPoint> {
+
+public:
+
+ EvtDalitzResPdf(const EvtDalitzPlot& dp,double m0, double g0, EvtCyclic3::Pair pairRes);
+ EvtDalitzResPdf(const EvtDalitzResPdf& other);
+ virtual ~EvtDalitzResPdf();
+
+
+ EvtPdf<EvtDalitzPoint>* clone() const { return new EvtDalitzResPdf(*this); }
+
+ virtual EvtValError compute_integral(int N) const;
+ virtual EvtDalitzPoint randomPoint();
+ double pdfMaxValue() const;
+
+protected:
+
+ virtual double pdf(const EvtDalitzPoint&) const;
+
+private:
+
+ EvtDalitzPlot _dp;
+ double _m0; // mass
+ double _g0; // width
+ EvtCyclic3::Pair _pair; // resonant pair
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*****************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzReso.cc,v 1.4 2008/11/27 16:29:30 jordix Exp $
+ *
+ * Description:
+ * Class to compute Dalitz amplitudes based on many models that cannot be
+ * handled with EvtResonance.
+ *
+ * Modification history:
+ * Jordi Garra Ticó 2008/07/03 File created
+ *****************************************************************************/
+
+
+#include <assert.h>
+#include <cmath>
+#include <iostream>
+
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtMatrix.hh"
+#include "EvtGenBase/EvtDalitzReso.hh"
+
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+
+#define PRECISION ( 1.e-3 )
+
+using EvtCyclic3::Index;
+using EvtCyclic3::Pair;
+
+
+// single Breit-Wigner
+EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairAng, Pair pairRes,
+ EvtSpinType::spintype spin, double m0, double g0, NumType typeN)
+ : _dp(dp),
+ _pairAng(pairAng),
+ _pairRes(pairRes),
+ _spin(spin),
+ _typeN(typeN),
+ _m0(m0),_g0(g0),
+ _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
+ _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
+ _g1(-1.),_g2(-1.),_coupling2(Undefined),
+ _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
+ _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.)
+{
+ _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),_dp.bigM(),_spin);
+ _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
+ _vb.set_f( 0.0 ); // Default values for Blatt-Weisskopf factors.
+ _vd.set_f( 1.5 );
+ assert(_typeN != K_MATRIX && _typeN != K_MATRIX_I && _typeN != K_MATRIX_II); // single BW cannot be K-matrix
+}
+
+
+// Breit-Wigner with electromagnetic mass mixing
+EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairAng, Pair pairRes,
+ EvtSpinType::spintype spin, double m0, double g0, NumType typeN,
+ double m0_mix, double g0_mix, double delta_mix, EvtComplex amp_mix)
+ : _dp(dp),
+ _pairAng(pairAng),
+ _pairRes(pairRes),
+ _spin(spin),
+ _typeN(typeN),
+ _m0(m0),_g0(g0),
+ _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
+ _m0_mix(m0_mix),_g0_mix(g0_mix),_delta_mix(delta_mix),_amp_mix(amp_mix),
+ _g1(-1.),_g2(-1.),_coupling2(Undefined),
+ _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
+ _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.)
+{
+ _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),_dp.bigM(),_spin);
+ _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
+ _vb.set_f( 0.0 ); // Default values for Blatt-Weisskopf factors.
+ _vd.set_f( 1.5 );
+ // single BW (with electromagnetic mixing) cannot be K-matrix
+ assert(_typeN != K_MATRIX && _typeN != K_MATRIX_I && _typeN != K_MATRIX_II);
+}
+
+// coupled Breit-Wigner
+EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairAng, Pair pairRes,
+ EvtSpinType::spintype spin, double m0, NumType typeN, double g1, double g2, CouplingType coupling2)
+ : _dp(dp),
+ _pairAng(pairAng),
+ _pairRes(pairRes),
+ _spin(spin),
+ _typeN(typeN),
+ _m0(m0),_g0(-1.),
+ _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
+ _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
+ _g1(g1),_g2(g2),_coupling2(coupling2),
+ _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
+ _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.)
+{
+ _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),_dp.bigM(),_spin);
+ _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
+ _vb.set_f( 0.0 ); // Default values for Blatt-Weisskopf factors.
+ _vd.set_f( 1.5 );
+ assert(_coupling2 != Undefined);
+ assert(_typeN != K_MATRIX && _typeN != K_MATRIX_I && _typeN != K_MATRIX_II); // coupled BW cannot be K-matrix
+ assert(_typeN != LASS); // coupled BW cannot be LASS
+ assert(_typeN != NBW); // for coupled BW, only relativistic BW
+}
+
+
+// K-Matrix (A&S)
+EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairRes, std::string nameIndex, NumType typeN,
+ EvtComplex fr12prod, EvtComplex fr13prod, EvtComplex fr14prod, EvtComplex fr15prod, double s0prod)
+ : _dp(dp),
+ _pairRes(pairRes),
+ _typeN(typeN),
+ _m0(0.),_g0(0.),
+ _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
+ _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
+ _g1(-1.),_g2(-1.),_coupling2(Undefined),
+ _kmatrix_index(-1),_fr12prod(fr12prod),_fr13prod(fr13prod),_fr14prod(fr14prod),_fr15prod(fr15prod),_s0prod(s0prod),
+ _a(0.),_r(0.),_Blass(0.),_phiB(0.),_R(0.),_phiR(0.)
+{
+ assert(_typeN==K_MATRIX || _typeN==K_MATRIX_I || _typeN==K_MATRIX_II);
+ _spin=EvtSpinType::SCALAR;
+ if (nameIndex=="Pole1") _kmatrix_index=1;
+ else if (nameIndex=="Pole2") _kmatrix_index=2;
+ else if (nameIndex=="Pole3") _kmatrix_index=3;
+ else if (nameIndex=="Pole4") _kmatrix_index=4;
+ else if (nameIndex=="Pole5") _kmatrix_index=5;
+ else if (nameIndex=="f11prod") _kmatrix_index=6;
+ else assert(0);
+}
+
+
+// LASS parameterization
+EvtDalitzReso::EvtDalitzReso(const EvtDalitzPlot& dp, Pair pairRes,
+ double m0, double g0, double a, double r, double B, double phiB, double R, double phiR)
+ : _dp(dp),
+ _pairRes(pairRes),
+ _typeN(LASS),
+ _m0(m0),_g0(g0),
+ _massFirst(dp.m(first(pairRes))),_massSecond(dp.m(second(pairRes))),
+ _m0_mix(-1.),_g0_mix(0.),_delta_mix(0.),_amp_mix(0.,0.),
+ _g1(-1.),_g2(-1.),_coupling2(Undefined),
+ _kmatrix_index(-1),_fr12prod(0.,0.),_fr13prod(0.,0.),_fr14prod(0.,0.),_fr15prod(0.,0.),_s0prod(0.),
+ _a(a),_r(r),_Blass(B),_phiB(phiB),_R(R),_phiR(phiR)
+{
+ _spin=EvtSpinType::SCALAR;
+ _vd = EvtTwoBodyVertex(_massFirst,_massSecond,_m0,_spin);
+ _vd.set_f( 1.5 ); // Default values for Blatt-Weisskopf factors.
+}
+
+
+
+EvtDalitzReso::EvtDalitzReso(const EvtDalitzReso& other)
+ : _dp(other._dp),
+ _pairAng(other._pairAng),
+ _pairRes(other._pairRes),
+ _spin(other._spin),
+ _typeN(other._typeN),
+ _m0(other._m0),_g0(other._g0),
+ _vb(other._vb),_vd(other._vd),
+ _massFirst(other._massFirst),_massSecond(other._massSecond),
+ _m0_mix(other._m0_mix),_g0_mix(other._g0_mix),_delta_mix(other._delta_mix),_amp_mix(other._amp_mix),
+ _g1(other._g1),_g2(other._g2),_coupling2(other._coupling2),
+ _kmatrix_index(other._kmatrix_index),
+ _fr12prod(other._fr12prod),_fr13prod(other._fr13prod),_fr14prod(other._fr14prod),_fr15prod(other._fr15prod),
+ _s0prod(other._s0prod),
+ _a(other._a),_r(other._r),_Blass(other._Blass),_phiB(other._phiB),_R(other._R),_phiR(other._phiR)
+{}
+
+
+EvtDalitzReso::~EvtDalitzReso()
+{}
+
+
+EvtComplex EvtDalitzReso::evaluate(const EvtDalitzPoint& x)
+{
+ double m = sqrt(x.q(_pairRes));
+
+ // do use always hash table (speed up fitting)
+ if (_typeN==K_MATRIX || _typeN==K_MATRIX_I || _typeN==K_MATRIX_II)
+ return Fvector( m*m, _kmatrix_index );
+
+ if (_typeN==LASS)
+ return lass(m*m);
+
+ EvtComplex amp(1.0,0.0);
+
+ if (_dp.bigM() != x.bigM()) _vb = EvtTwoBodyVertex(_m0,_dp.m(EvtCyclic3::other(_pairRes)),x.bigM(),_spin);
+ EvtTwoBodyKine vb(m,x.m(EvtCyclic3::other(_pairRes)),x.bigM());
+ EvtTwoBodyKine vd(_massFirst,_massSecond,m);
+
+ EvtComplex prop(0,0);
+ if (_typeN==NBW) {
+ prop = propBreitWigner(_m0,_g0,m);
+ } else if (_typeN==GAUSS_CLEO || _typeN==GAUSS_CLEO_ZEMACH) {
+ prop = propGauss(_m0,_g0,m);
+ } else {
+ if (_coupling2==Undefined) {
+ // single BW
+ double g = (_g0<=0. || _vd.pD()<=0.)? -_g0 : _g0*_vd.widthFactor(vd); // running width
+ if (_typeN==GS_CLEO || _typeN==GS_CLEO_ZEMACH) {
+ // Gounaris-Sakurai (GS)
+ assert(_massFirst==_massSecond);
+ prop = propGounarisSakurai(_m0,fabs(_g0),_vd.pD(),m,g,vd.p());
+ } else {
+ // standard relativistic BW
+ prop = propBreitWignerRel(_m0,g,m);
+ }
+ } else {
+ // coupled width BW
+ EvtComplex G1,G2;
+ switch (_coupling2) {
+ case PicPic: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
+ G2 = _g2*_g2*psFactor(mPic,mPic,m);
+ break;
+ }
+ case PizPiz: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mPiz = EvtPDL::getMass( EvtPDL::getId( "pi0" ) );
+ G2 = _g2*_g2*psFactor(mPiz,mPiz,m);
+ break;
+ }
+ case PiPi: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
+ static double mPiz = EvtPDL::getMass( EvtPDL::getId( "pi0" ) );
+ G2 = _g2*_g2*psFactor(mPic,mPic,mPiz,mPiz,m);
+ break;
+ }
+ case KcKc: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mKc = EvtPDL::getMass( EvtPDL::getId( "K+" ) );
+ G2 = _g2*_g2*psFactor(mKc,mKc,m);
+ break;
+ }
+ case KzKz: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mKz = EvtPDL::getMass( EvtPDL::getId( "K0" ) );
+ G2 = _g2*_g2*psFactor(mKz,mKz,m);
+ break;
+ }
+ case KK: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mKc = EvtPDL::getMass( EvtPDL::getId( "K+" ) );
+ static double mKz = EvtPDL::getMass( EvtPDL::getId( "K0" ) );
+ G2 = _g2*_g2*psFactor(mKc,mKc,mKz,mKz,m);
+ break;
+ }
+ case EtaPic: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mEta = EvtPDL::getMass( EvtPDL::getId( "eta" ) );
+ static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
+ G2 = _g2*_g2*psFactor(mEta,mPic,m);
+ break;
+ }
+ case EtaPiz: {
+ G1 = _g1*_g1*psFactor(_massFirst,_massSecond,m);
+ static double mEta = EvtPDL::getMass( EvtPDL::getId( "eta" ) );
+ static double mPiz = EvtPDL::getMass( EvtPDL::getId( "pi0" ) );
+ G2 = _g2*_g2*psFactor(mEta,mPiz,m);
+ break;
+ }
+ case PicPicKK: {
+ static double mPic = EvtPDL::getMass( EvtPDL::getId( "pi+" ) );
+ //G1 = _g1*_g1*psFactor(mPic,mPic,m);
+ G1 = _g1*psFactor(mPic,mPic,m);
+ static double mKc = EvtPDL::getMass( EvtPDL::getId( "K+" ) );
+ static double mKz = EvtPDL::getMass( EvtPDL::getId( "K0" ) );
+ //G2 = _g2*_g2*psFactor(mKc,mKc,mKz,mKz,m);
+ G2 = _g2*psFactor(mKc,mKc,mKz,mKz,m);
+ break;
+ }
+ default:
+ std::cout << "EvtDalitzReso:evaluate(): PANIC, wrong coupling2 state." << std::endl;
+ assert(0);
+ break;
+ }
+ // calculate standard couple BW propagator
+ if (_coupling2 != WA76)
+ prop = _g1*propBreitWignerRelCoupled(_m0,G1,G2,m);
+ }
+ }
+ amp *= prop;
+
+ // Compute form-factors (Blatt-Weisskopf penetration factor)
+ amp *= _vb.formFactor(vb);
+ amp *= _vd.formFactor(vd);
+
+ // Compute numerator (angular distribution)
+ amp *= numerator(x,vb,vd);
+
+ // Compute electromagnetic mass mixing factor
+ if (_m0_mix>0.) {
+ EvtComplex prop_mix;
+ if (_typeN==NBW) {
+ prop_mix = propBreitWigner(_m0_mix,_g0_mix,m);
+ } else {
+ assert(_g1<0.); // running width only
+ double g_mix = _g0_mix*_vd.widthFactor(vd);
+ prop_mix = propBreitWignerRel(_m0_mix,g_mix,m);
+ }
+ amp *= mixFactor(prop,prop_mix);
+ }
+
+ return amp;
+}
+
+
+EvtComplex EvtDalitzReso::psFactor(double & ma, double & mb, double& m)
+{
+ if (m>(ma+mb)) {
+ EvtTwoBodyKine vd(ma,mb,m);
+ return EvtComplex(0,2*vd.p()/m);
+ } else {
+ // analytical continuation
+ double s = m*m;
+ double phaseFactor_analyticalCont = -0.5*(sqrt(4*ma*ma/s-1)+sqrt(4*mb*mb/s-1));
+ return EvtComplex(phaseFactor_analyticalCont,0);
+ }
+}
+
+
+EvtComplex EvtDalitzReso::psFactor(double & ma1,double & mb1, double & ma2, double & mb2, double& m)
+{
+ return 0.5*(psFactor(ma1,mb1,m)+psFactor(ma2,mb2,m));
+}
+
+
+EvtComplex EvtDalitzReso::propGauss(const double& m0, const double& s0, const double& m)
+{
+ // Gaussian
+ double gauss = 1./sqrt(EvtConst::twoPi)/s0*exp(-(m-m0)*(m-m0)/2./(s0*s0));
+ return EvtComplex(gauss,0.);
+}
+
+
+EvtComplex EvtDalitzReso::propBreitWigner(const double& m0, const double& g0, const double& m)
+{
+ // non-relativistic BW
+ return sqrt(g0/EvtConst::twoPi)/(m-m0-EvtComplex(0.0,g0/2.));
+}
+
+
+EvtComplex EvtDalitzReso::propBreitWignerRel(const double& m0, const double& g0, const double& m)
+{
+ // relativistic BW with real width
+ return 1./(m0*m0-m*m-EvtComplex(0.,m0*g0));
+}
+
+
+
+EvtComplex EvtDalitzReso::propBreitWignerRel(const double& m0, const EvtComplex& g0, const double& m)
+{
+ // relativistic BW with complex width
+ return 1./(m0*m0-m*m-EvtComplex(0.,m0)*g0);
+}
+
+
+EvtComplex EvtDalitzReso::propBreitWignerRelCoupled(const double& m0, const EvtComplex& g1, const EvtComplex& g2, const double& m)
+{
+ // relativistic coupled BW
+ return 1./(m0*m0-m*m-(g1+g2));
+}
+
+EvtComplex EvtDalitzReso::propGounarisSakurai(const double& m0, const double& g0, const double& k0,
+ const double& m, const double& g, const double& k)
+{
+ // Gounaris-Sakurai parameterization of pi+pi- P wave. PRD, Vol61, 112002. PRL, Vol21, 244.
+ // Expressions taken from BAD637v4, after fixing the imaginary part of the BW denominator: i M_R Gamma_R(s) --> i sqrt(s) Gamma_R(s)
+ return (1.+GS_d(m0,k0)*g0/m0)/(m0*m0-m*m-EvtComplex(0.,m*g)+GS_f(m0,g0,k0,m,k));
+}
+
+
+inline double EvtDalitzReso::GS_f(const double& m0, const double& g0, const double& k0, const double& m, const double& k)
+{
+ // m: sqrt(s)
+ // m0: nominal resonance mass
+ // k: momentum of pion in resonance rest frame (at m)
+ // k0: momentum of pion in resonance rest frame (at nominal resonance mass)
+ return g0*m0*m0/(k0*k0*k0)*( k*k*(GS_h(m,k)-GS_h(m0,k0)) + (m0*m0-m*m)*k0*k0*GS_dhods(m0,k0) );
+}
+
+inline double EvtDalitzReso::GS_h(const double& m, const double& k)
+{return 2./EvtConst::pi*k/m*log((m+2.*k)/(2.*_massFirst)) ;}
+
+inline double EvtDalitzReso::GS_dhods(const double& m0, const double& k0)
+{return GS_h(m0,k0)*( 0.125/(k0*k0) - 0.5/(m0*m0) ) + 0.5/(EvtConst::pi*m0*m0) ;}
+
+inline double EvtDalitzReso::GS_d(const double& m0, const double& k0)
+{return 3./EvtConst::pi*_massFirst*_massFirst/(k0*k0)*log((m0+2.*k0)/(2.*_massFirst)) +
+ m0/(2.*EvtConst::pi*k0) - _massFirst*_massFirst*m0/(EvtConst::pi*k0*k0*k0) ;}
+
+
+EvtComplex EvtDalitzReso::numerator(const EvtDalitzPoint& x, const EvtTwoBodyKine& vb, const EvtTwoBodyKine& vd)
+{
+ EvtComplex ret(0.,0.);
+
+ // Non-relativistic Breit-Wigner
+ if(NBW == _typeN) {
+ ret = angDep(x);
+ }
+
+ // Standard relativistic Zemach propagator
+ else if(RBW_ZEMACH == _typeN) {
+ ret = _vd.phaseSpaceFactor(vd,EvtTwoBodyKine::AB)*angDep(x);
+ }
+
+ // Standard relativistic Zemach propagator
+ else if(RBW_ZEMACH2 == _typeN) {
+ ret = _vd.phaseSpaceFactor(vd,EvtTwoBodyKine::AB)*_vb.phaseSpaceFactor(vb,EvtTwoBodyKine::AB)*angDep(x);
+ if(_spin == EvtSpinType::VECTOR) {
+ ret *= -4.;
+ } else if(_spin == EvtSpinType::TENSOR) {
+ ret *= 16./3.;
+ } else if(_spin != EvtSpinType::SCALAR)
+ assert(0);
+ }
+
+ // Kuehn-Santamaria normalization:
+ else if(RBW_KUEHN == _typeN) {
+ ret = _m0*_m0 * angDep(x);
+ }
+
+ // CLEO amplitude
+ else if( ( RBW_CLEO == _typeN ) || ( GS_CLEO == _typeN ) ||
+ ( RBW_CLEO_ZEMACH == _typeN ) || ( GS_CLEO_ZEMACH == _typeN ) ||
+ ( GAUSS_CLEO == _typeN ) || ( GAUSS_CLEO_ZEMACH == _typeN)) {
+
+ Index iA = other(_pairAng); // A = other(BC)
+ Index iB = common(_pairRes,_pairAng); // B = common(AB,BC)
+ Index iC = other(_pairRes); // C = other(AB)
+
+ double M = x.bigM();
+ double mA = x.m(iA);
+ double mB = x.m(iB);
+ double mC = x.m(iC);
+ double qAB = x.q(combine(iA,iB));
+ double qBC = x.q(combine(iB,iC));
+ double qCA = x.q(combine(iC,iA));
+
+ double M2 = M*M;
+ double m02 = ((RBW_CLEO_ZEMACH == _typeN)||(GS_CLEO_ZEMACH == _typeN)||(GAUSS_CLEO_ZEMACH == _typeN))? qAB : _m0*_m0;
+ double mA2 = mA*mA;
+ double mB2 = mB*mB;
+ double mC2 = mC*mC;
+
+ if (_spin == EvtSpinType::SCALAR) ret = EvtComplex(1.,0.);
+ else if(_spin == EvtSpinType::VECTOR) {
+ ret = qCA - qBC + (M2 - mC2)*(mB2 - mA2)/m02;
+ } else if(_spin == EvtSpinType::TENSOR) {
+ double x1 = qBC - qCA + (M2 - mC2)*(mA2 - mB2)/m02;
+ double x2 = M2 - mC2;
+ double x3 = qAB - 2*M2 - 2*mC2 + x2*x2/m02;
+ double x4 = mA2 - mB2;
+ double x5 = qAB - 2*mB2 - 2*mA2 + x4*x4/m02;
+ ret = x1*x1 - x3*x5/3.;
+ } else assert(0);
+ }
+
+ return ret;
+}
+
+
+double EvtDalitzReso::angDep(const EvtDalitzPoint& x)
+{
+ // Angular dependece for factorizable amplitudes
+ // unphysical cosines indicate we are in big trouble
+ double cosTh = x.cosTh(_pairAng,_pairRes); // angle between common(reso,ang) and other(reso)
+ if(fabs(cosTh) > 1.) {
+ report(INFO,"EvtGen") << "cosTh " << cosTh << std::endl;
+ assert(0);
+ }
+
+ // in units of half-spin
+ return EvtdFunction::d(EvtSpinType::getSpin2(_spin),2*0,2*0,acos(cosTh));
+}
+
+
+EvtComplex EvtDalitzReso::mixFactor(EvtComplex prop, EvtComplex prop_mix)
+{
+ double Delta = _delta_mix*(_m0+_m0_mix);
+ return 1/(1-Delta*Delta*prop*prop_mix)*(1+_amp_mix*Delta*prop_mix);
+}
+
+
+
+EvtComplex EvtDalitzReso::Fvector( double s, int index )
+{
+ assert(index>=1 && index<=6);
+
+ //Define the complex coupling constant
+ //The convection is as follow
+ //i=0 --> pi+ pi-
+ //i=1 --> KK
+ //i=2 --> 4pi
+ //i=3 --> eta eta
+ //i=4 --> eta eta'
+ //The first index is the resonace-pole index
+
+ double g[5][5]; // Coupling constants. The first index is the pole index. The second index is the decay channel
+ double ma[5]; // Pole masses. The unit is in GeV
+
+ int solution = (_typeN==K_MATRIX)? 3 : ( (_typeN==K_MATRIX_I)? 1 : ( (_typeN==K_MATRIX_II)? 2 : 0 ) ) ;
+ if (solution==0) { std::cout << "EvtDalitzReso::Fvector() error. Kmatrix solution incorrectly chosen ! " << std::endl; abort(); }
+
+ if (solution == 3 ) {
+
+ // coupling constants
+ //pi+pi- channel
+ g[0][0]=0.22889;
+ g[1][0]=0.94128;
+ g[2][0]=0.36856;
+ g[3][0]=0.33650;
+ g[4][0]=0.18171;
+ //K+K- channel
+ g[0][1]=-0.55377;
+ g[1][1]=0.55095;
+ g[2][1]=0.23888;
+ g[3][1]=0.40907;
+ g[4][1]=-0.17558;
+ //4pi channel
+ g[0][2]=0;
+ g[1][2]=0;
+ g[2][2]=0.55639;
+ g[3][2]=0.85679;
+ g[4][2]=-0.79658;
+ //eta eta channel
+ g[0][3]=-0.39899;
+ g[1][3]=0.39065;
+ g[2][3]=0.18340;
+ g[3][3]=0.19906;
+ g[4][3]=-0.00355;
+ //eta eta' channel
+ g[0][4]=-0.34639;
+ g[1][4]=0.31503;
+ g[2][4]=0.18681;
+ g[3][4]=-0.00984;
+ g[4][4]=0.22358;
+
+ // Pole masses
+ ma[0]=0.651;
+ ma[1]=1.20360;
+ ma[2]=1.55817;
+ ma[3]=1.21000;
+ ma[4]=1.82206;
+
+ } else if (solution == 1) { // solnI.txt
+
+ // coupling constants
+ //pi+pi- channel
+ g[0][0]=0.31896;
+ g[1][0]=0.85963;
+ g[2][0]=0.47993;
+ g[3][0]=0.45121;
+ g[4][0]=0.39391;
+ //K+K- channel
+ g[0][1]=-0.49998;
+ g[1][1]=0.52402;
+ g[2][1]=0.40254;
+ g[3][1]=0.42769;
+ g[4][1]=-0.30860;
+ //4pi channel
+ g[0][2]=0;
+ g[1][2]=0;
+ g[2][2]=1.0;
+ g[3][2]=1.15088;
+ g[4][2]=0.33999;
+ //eta eta channel
+ g[0][3]=-0.21554;
+ g[1][3]=0.38093;
+ g[2][3]=0.21811;
+ g[3][3]=0.22925;
+ g[4][3]=0.06919;
+ //eta eta' channel
+ g[0][4]=-0.18294;
+ g[1][4]=0.23788;
+ g[2][4]=0.05454;
+ g[3][4]=0.06444;
+ g[4][4]=0.32620;
+
+ // Pole masses
+ ma[0]=0.7369;
+ ma[1]=1.24347;
+ ma[2]=1.62681;
+ ma[3]=1.21900;
+ ma[4]=1.74932;
+
+ } else if (solution == 2) { // solnIIa.txt
+
+ // coupling constants
+ //pi+pi- channel
+ g[0][0]=0.26014;
+ g[1][0]=0.95289;
+ g[2][0]=0.46244;
+ g[3][0]=0.41848;
+ g[4][0]=0.01804;
+ //K+K- channel
+ g[0][1]=-0.57849;
+ g[1][1]=0.55887;
+ g[2][1]=0.31712;
+ g[3][1]=0.49910;
+ g[4][1]=-0.28430;
+ //4pi channel
+ g[0][2]=0;
+ g[1][2]=0;
+ g[2][2]=0.70340;
+ g[3][2]=0.96819;
+ g[4][2]=-0.90100;
+ //eta eta channel
+ g[0][3]=-0.32936;
+ g[1][3]=0.39910;
+ g[2][3]=0.22963;
+ g[3][3]=0.24415;
+ g[4][3]=-0.07252;
+ //eta eta' channel
+ g[0][4]=-0.30906;
+ g[1][4]=0.31143;
+ g[2][4]=0.19802;
+ g[3][4]=-0.00522;
+ g[4][4]=0.17097;
+
+ // Pole masses
+ ma[0]=0.67460;
+ ma[1]=1.21094;
+ ma[2]=1.57896;
+ ma[3]=1.21900;
+ ma[4]=1.86602;
+ }
+
+ //Now define the K-matrix pole
+ double rho1sq,rho2sq,rho4sq,rho5sq;
+ EvtComplex rho[5];
+ double f[5][5];
+
+ //Initalize the mass of the resonance
+ double mpi=0.13957;
+ double mK=0.493677; //using charged K value
+ double meta=0.54775; //using PDG value
+ double metap=0.95778; //using PDG value
+
+ //Initialize the matrix to value zero
+ EvtComplex K[5][5];
+ for(int i=0;i<5;i++) {
+ for(int j=0;j<5;j++) {
+ K[i][j]=EvtComplex(0,0);
+ f[i][j]=0;
+ }
+ }
+
+ //Input the _f[i][j] scattering data
+ double s_scatt=0.0 ;
+ if (solution == 3)
+ s_scatt=-3.92637;
+ else if (solution == 1)
+ s_scatt= -5.0 ;
+ else if (solution == 2)
+ s_scatt= -5.0 ;
+ double sa=1.0;
+ double sa_0=-0.15;
+ if (solution == 3) {
+ f[0][0]=0.23399; // f^scatt
+ f[0][1]=0.15044;
+ f[0][2]=-0.20545;
+ f[0][3]=0.32825;
+ f[0][4]=0.35412;
+ }else if (solution == 1) {
+ f[0][0]=0.04214; // f^scatt
+ f[0][1]=0.19865;
+ f[0][2]=-0.63764;
+ f[0][3]=0.44063;
+ f[0][4]=0.36717;
+ }else if (solution == 2) {
+ f[0][0]=0.26447; // f^scatt
+ f[0][1]=0.10400;
+ f[0][2]=-0.35445;
+ f[0][3]=0.31596;
+ f[0][4]=0.42483;
+ }
+ f[1][0]=f[0][1];
+ f[2][0]=f[0][2];
+ f[3][0]=f[0][3];
+ f[4][0]=f[0][4];
+
+ //Now construct the phase-space factor
+ //For eta-eta' there is no difference term
+ rho1sq = 1. - pow( mpi + mpi, 2 ) / s; //pi+ pi- phase factor
+ if( rho1sq >= 0 )
+ rho[ 0 ] = EvtComplex( sqrt( rho1sq ), 0 );
+ else
+ rho[ 0 ] = EvtComplex( 0, sqrt( -rho1sq ) );
+
+ rho2sq = 1. - pow( mK + mK, 2 ) / s;
+ if( rho2sq >= 0 )
+ rho[ 1 ] = EvtComplex( sqrt( rho2sq ), 0 );
+ else
+ rho[ 1 ] = EvtComplex( 0, sqrt( -rho2sq ) );
+
+ //using the A&S 4pi phase space Factor:
+ //Shit, not continue
+ if( s <= 1 )
+ {
+ double real = 1.2274 + .00370909 / ( s * s ) - .111203 / s - 6.39017 * s + 16.8358*s*s - 21.8845*s*s*s + 11.3153*s*s*s*s;
+ double cont32 = sqrt(1.0-(16.0*mpi*mpi));
+ rho[ 2 ] = EvtComplex( cont32 * real, 0 );
+ }
+ else
+ rho[ 2 ] = EvtComplex( sqrt( 1. - 16. * mpi * mpi / s ), 0 );
+
+ rho4sq = 1. - pow( meta + meta, 2 ) / s;
+ if( rho4sq >= 0 )
+ rho[ 3 ] = EvtComplex( sqrt( rho4sq ), 0 );
+ else
+ rho[ 3 ] = EvtComplex( 0, sqrt( -rho4sq ) );
+
+ rho5sq = 1. - pow( meta + metap, 2 ) / s;
+ if( rho5sq >= 0 )
+ rho[ 4 ] = EvtComplex( sqrt( rho5sq ), 0 );
+ else
+ rho[ 4 ] = EvtComplex( 0, sqrt( -rho5sq ) );
+
+ double smallTerm = 1; // Factor to prevent divergences.
+
+ // Check if some pole may arise problems.
+ for ( int pole = 0; pole < 5; pole++ )
+ if ( fabs( pow( ma[ pole ], 2 ) - s ) < PRECISION )
+ smallTerm = pow( ma[ pole ], 2 ) - s;
+
+ //now sum all the pole
+ //equation (3) in the E791 K-matrix paper
+ for(int i=0;i<5;i++) {
+ for(int j=0;j<5;j++) {
+ for (int pole_index=0;pole_index<5;pole_index++) {
+ double A=g[pole_index][i]*g[pole_index][j];
+ double B=ma[pole_index]*ma[pole_index]-s;
+
+ if ( fabs( B ) < PRECISION )
+ K[ i ][ j ] += EvtComplex( A , 0 );
+ else
+ K[ i ][ j ] += EvtComplex( A / B, 0 ) * smallTerm;
+ }
+ }
+ }
+
+ //now add the SVT part
+ for(int i=0;i<5;i++) {
+ for(int j=0;j<5;j++) {
+ double C=f[i][j]*(1.0-s_scatt);
+ double D=(s-s_scatt);
+ K[ i ][ j ] += EvtComplex( C / D, 0 ) * smallTerm;
+ }
+ }
+
+ //Fix the bug in the FOCUS paper
+ //Include the Alder zero term:
+ for(int i=0;i<5;i++) {
+ for(int j=0;j<5;j++) {
+ double E=(s-(sa*mpi*mpi*0.5))*(1.0-sa_0);
+ double F=(s-sa_0);
+ K[ i ][ j ] *= EvtComplex(E/F,0);
+ }
+ }
+
+ //This is not correct!
+ //(1-ipK) != (1-iKp)
+ static EvtMatrix< EvtComplex > mat;
+ mat.setRange( 5 ); // Try to do in only the first time. DEFINE ALLOCATION IN CONSTRUCTOR.
+
+ for ( int row = 0; row < 5; row++ )
+ for ( int col = 0; col < 5; col++ )
+ mat( row, col ) = ( row == col ) * smallTerm - EvtComplex( 0., 1. ) * K[ row ][ col ] * rho[ col ];
+
+
+ EvtMatrix< EvtComplex >* matInverse = mat.inverse(); //The 1st row of the inverse matrix. This matrix is {(I-iKp)^-1}_0j
+ vector< EvtComplex > U1j;
+ for ( int j = 0; j < 5; j++ )
+ U1j.push_back( (*matInverse)[ 0 ][ j ] );
+
+ delete matInverse;
+
+ //this calculates final F0 factor
+ EvtComplex value( 0, 0 );
+ if (index<=5) {
+ //this calculates the beta_idx Factors
+ for(int j=0;j<5;j++) { // sum for 5 channel
+ EvtComplex top = U1j[j]*g[index-1][j];
+ double bottom = ma[index-1]*ma[index-1]-s;
+
+ if ( fabs( bottom ) < PRECISION )
+ value += top;
+ else
+ value += top / bottom * smallTerm;
+ }
+ } else {
+ //this calculates fprod Factors
+ value += U1j[0];
+ value += U1j[1]*_fr12prod;
+ value += U1j[2]*_fr13prod;
+ value += U1j[3]*_fr14prod;
+ value += U1j[4]*_fr15prod;
+
+ value *= (1-_s0prod)/(s-_s0prod) * smallTerm;
+ }
+
+ return value;
+}
+
+
+//replace Breit-Wigner with LASS
+EvtComplex EvtDalitzReso::lass(double s)
+{
+ EvtTwoBodyKine vd(_massFirst,_massSecond, sqrt(s));
+ double q = vd.p();
+ double GammaM = _g0*_vd.widthFactor(vd); // running width;
+
+ //calculate the background phase motion
+ double cot_deltaB = 1.0/(_a*q) + 0.5*_r*q;
+ double deltaB = atan( 1.0/cot_deltaB);
+ double totalB = deltaB + _phiB ;
+
+ //calculate the resonant phase motion
+ double deltaR = atan((_m0*GammaM/(_m0*_m0 - s)));
+ double totalR = deltaR + _phiR ;
+
+ //sum them up
+ EvtComplex bkgB,resT;
+ bkgB = EvtComplex(_Blass*sin(totalB),0)*EvtComplex(cos(totalB),sin(totalB));
+ resT = EvtComplex(_R*sin(deltaR),0)*EvtComplex(cos(totalR),sin(totalR))*EvtComplex(cos(2*totalB),sin(2*totalB));
+ EvtComplex T = bkgB + resT;
+
+ return T;
+}
+
+
+
+
--- /dev/null
+/*****************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtDalitzReso.hh,v 1.4 2008/11/27 16:29:30 jordix Exp $
+ *
+ * Description:
+ * Class to compute Dalitz amplitudes based on many models that cannot be
+ * handled with EvtResonance.
+ *
+ * Modification history:
+ * Jordi Garra Ticó 2008/07/03 File created
+ *****************************************************************************/
+
+#ifndef __EVTDALITZRESO_HH__
+#define __EVTDALITZRESO_HH__
+
+#include <string>
+#include <vector>
+#include <map>
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtBlattWeisskopf.hh"
+
+using std::vector;
+using std::map;
+
+class EvtBlattWeisskopf;
+
+class EvtDalitzReso
+{
+public:
+ // Numerator type
+ enum NumType { NBW = 0 , RBW_ZEMACH = 1 , RBW_KUEHN = 2 , RBW_CLEO = 3 ,
+ RBW_ZEMACH2 = 4 , GS_CLEO = 5 , K_MATRIX = 6 , RBW_CLEO_ZEMACH = 7 ,
+ GS_CLEO_ZEMACH = 8 , LASS = 9 , K_MATRIX_I = 10, K_MATRIX_II = 11,
+ GAUSS_CLEO = 12, GAUSS_CLEO_ZEMACH = 13 };
+
+ // Coupling type
+ // ChgPion : pi+ pi-
+ // NeuPion : pi0 pi0
+ // Pion : 0.5*[(pi+ pi-) + (pi0 pi0)]
+ // ChgKaon : K+ K-
+ // NeuKaon : K0 K0
+ // Kaon : 0.5*[(K+ K-) + (K0 K0)]
+ // EtaPion : eta pi0
+ enum CouplingType {Undefined=0,PicPic=1,PizPiz,PiPi,KcKc,KzKz,KK,EtaPic,EtaPiz,PicPicKK,WA76};
+
+ EvtDalitzReso() {};
+
+ EvtDalitzReso(const EvtDalitzPlot& dp, EvtCyclic3::Pair pairAng, EvtCyclic3::Pair pairRes,
+ EvtSpinType::spintype spin, double m0, double g0, NumType typeN);
+
+ EvtDalitzReso(const EvtDalitzPlot& dp, EvtCyclic3::Pair pairAng, EvtCyclic3::Pair pairRes,
+ EvtSpinType::spintype spin, double m0, double g0, NumType typeN,
+ double m0_mix, double g0_mix, double delta_mix, EvtComplex amp_mix);
+
+ EvtDalitzReso(const EvtDalitzPlot& dp, EvtCyclic3::Pair pairAng, EvtCyclic3::Pair pairRes,
+ EvtSpinType::spintype spin, double m0, NumType typeN, double g1, double g2, CouplingType coupling2);
+
+ // K-matrix
+ EvtDalitzReso(const EvtDalitzPlot& dp, EvtCyclic3::Pair pairRes, std::string nameIndex, NumType typeN,
+ EvtComplex fr12prod, EvtComplex fr13prod, EvtComplex fr14prod, EvtComplex fr15prod, double s0prod);
+
+ // LASS
+ EvtDalitzReso(const EvtDalitzPlot& dp, EvtCyclic3::Pair pairRes, double m0, double g0,
+ double a, double r, double B, double phiB, double R, double phiR);
+
+ EvtDalitzReso(const EvtDalitzReso& other);
+
+ ~EvtDalitzReso();
+
+ EvtDalitzReso* clone() const { return new EvtDalitzReso(*this); }
+
+ EvtComplex evaluate(const EvtDalitzPoint& p);
+
+ void set_fd( double R ) { _vd.set_f( R ); }
+ void set_fb( double R ) { _vb.set_f( R ); }
+
+private:
+ EvtComplex psFactor(double& ma, double& mb, double& m);
+ EvtComplex psFactor(double& ma1, double& mb1, double& ma2, double& mb2, double& m);
+ EvtComplex propGauss(const double& m0, const double& s0, const double& m);
+ EvtComplex propBreitWigner(const double& m0, const double& g0, const double& m);
+ EvtComplex propBreitWignerRel(const double& m0, const double& g0, const double& m);
+ EvtComplex propBreitWignerRel(const double& m0, const EvtComplex& g0, const double& m);
+ EvtComplex propBreitWignerRelCoupled(const double& m0, const EvtComplex& g1, const EvtComplex& g2, const double& m);
+ EvtComplex propGounarisSakurai(const double& m0, const double& g0, const double& k0,
+ const double& m, const double& g, const double& k);
+ inline double GS_f(const double& m0, const double& g0, const double& k0, const double& m, const double& k);
+ inline double GS_h(const double& m, const double& k);
+ inline double GS_dhods(const double& m0, const double& k0);
+ inline double GS_d(const double& m0, const double& k0);
+
+ EvtComplex numerator(const EvtDalitzPoint& p, const EvtTwoBodyKine& vb, const EvtTwoBodyKine& vd);
+ double angDep(const EvtDalitzPoint& p);
+ EvtComplex mixFactor(EvtComplex prop, EvtComplex prop_mix);
+ EvtComplex Fvector( double s, int index );
+ EvtComplex lass(double s);
+
+ // Dalitz plot
+ EvtDalitzPlot _dp;
+
+ // Pairing indices:
+ EvtCyclic3::Pair _pairAng; // angular
+ EvtCyclic3::Pair _pairRes; // resonance
+
+ // Spin
+ EvtSpinType::spintype _spin;
+
+ // Numerator type
+ NumType _typeN;
+
+ // Nominal mass and width
+ double _m0,_g0;
+
+ // Vertices
+ EvtTwoBodyVertex _vb;
+ EvtTwoBodyVertex _vd;
+
+ // Daughter masses
+ double _massFirst,_massSecond;
+
+ // variables for electromagnetic mass mixing
+ double _m0_mix,_g0_mix,_delta_mix;
+ EvtComplex _amp_mix;
+
+ // variables for coupled Breit-Wigner
+ double _g1,_g2;
+ CouplingType _coupling2;
+
+ // K-matrix
+ int _kmatrix_index;
+ EvtComplex _fr12prod,_fr13prod,_fr14prod,_fr15prod;
+ double _s0prod;
+
+ // LASS
+ double _a;
+ double _r;
+ double _Blass;
+ double _phiB;
+ double _R;
+ double _phiR;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayAmp.cc
+//
+// Description: Baseclass for models that calculates amplitudes
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+
+
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtRadCorr.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+
+void EvtDecayAmp::makeDecay(EvtParticle* p, bool recursive){
+
+ //original default value
+ int ntimes=10000;
+
+ int more;
+
+ EvtSpinDensity rho;
+ double prob,prob_max;
+
+ _amp2.init(p->getId(),getNDaug(),getDaugs());
+
+ do{
+
+ _daugsDecayedByParentModel=false;
+ _weight = 1.0;
+ decay(p);
+
+ rho=_amp2.getSpinDensity();
+
+ prob=p->getSpinDensityForward().normalizedProb(rho);
+
+ if (prob<0.0) {
+ report(ERROR,"EvtGen")<<"Negative prob:"<<p->getId().getId()
+ <<" "<<p->getChannel()<<endl;
+
+ report(ERROR,"EvtGen") << "rho_forward:"<<endl;
+ report(ERROR,"EvtGen") << p->getSpinDensityForward();
+ report(ERROR,"EvtGen") << "rho decay:"<<endl;
+ report(ERROR,"EvtGen") << rho <<endl;
+ }
+
+ if (prob!=prob) {
+
+ report(DEBUG,"EvtGen") << "Forward density matrix:"<<endl;
+ report(ERROR,"EvtGen") << p->getSpinDensityForward();
+
+ report(DEBUG,"EvtGen") << "Decay density matrix:"<<endl;
+ report(ERROR,"EvtGen") << rho;
+
+ report(DEBUG,"EvtGen") << "prob:"<<prob<<endl;
+
+ report(DEBUG,"EvtGen") << "Particle:"
+ <<EvtPDL::name(p->getId()).c_str()<<endl;
+ report(DEBUG,"EvtGen") << "channel :"<<p->getChannel()<<endl;
+ report(DEBUG,"EvtGen") << "Momentum:" << p->getP4() << " " << p->mass() << endl;
+ if( p->getParent()!=0){
+ report(DEBUG,"EvtGen") << "parent:"
+ <<EvtPDL::name(
+ p->getParent()->getId()).c_str()<<endl;
+ report(DEBUG,"EvtGen") << "parent channel :"
+ <<p->getParent()->getChannel()<<endl;
+
+ size_t i;
+ report(DEBUG,"EvtGen") << "parent daughters :";
+ for (i=0;i<p->getParent()->getNDaug();i++){
+ report(DEBUG,"") << EvtPDL::name(
+ p->getParent()->getDaug(i)->getId()).c_str()
+ << " ";
+ }
+ report(DEBUG,"") << endl;
+
+ report(DEBUG,"EvtGen") << "daughters :";
+ for (size_t i=0;i<p->getNDaug();i++){
+ report(DEBUG,"") << EvtPDL::name(
+ p->getDaug(i)->getId()).c_str()
+ << " ";
+ }
+ report(DEBUG,"") << endl;
+
+ report(DEBUG,"EvtGen") << "daughter momenta :" << endl;;
+ for (size_t i=0;i<p->getNDaug();i++){
+ report(DEBUG,"") << p->getDaug(i)->getP4() << " " << p->getDaug(i)->mass();
+ report(DEBUG,"") << endl;
+ }
+
+ }
+ }
+
+
+ prob/=_weight;
+
+ prob_max = getProbMax(prob);
+ p->setDecayProb(prob/prob_max);
+
+ more=prob<EvtRandom::Flat(prob_max);
+
+ ntimes--;
+
+ }while(ntimes&&more);
+
+ if (ntimes==0){
+ report(DEBUG,"EvtGen") << "Tried accept/reject: 10000"
+ <<" times, and rejected all the times!"<<endl;
+
+ report(DEBUG,"EvtGen")<<p->getSpinDensityForward()<<endl;
+ report(DEBUG,"EvtGen") << "Is therefore accepting the last event!"<<endl;
+ report(DEBUG,"EvtGen") << "Decay of particle:"<<
+ EvtPDL::name(p->getId()).c_str()<<"(channel:"<<
+ p->getChannel()<<") with mass "<<p->mass()<<endl;
+
+ for(size_t ii=0;ii<p->getNDaug();ii++){
+ report(DEBUG,"EvtGen") <<"Daughter "<<ii<<":"<<
+ EvtPDL::name(p->getDaug(ii)->getId()).c_str()<<" with mass "<<
+ p->getDaug(ii)->mass()<<endl;
+ }
+ }
+
+ EvtSpinDensity rho_list[10];
+
+ rho_list[0]=p->getSpinDensityForward();
+
+ EvtAmp ampcont;
+
+ if (_amp2._pstates!=1){
+ ampcont=_amp2.contract(0,p->getSpinDensityForward());
+ }
+ else{
+ ampcont=_amp2;
+ }
+
+
+ // it may be that the parent decay model has already
+ // done the decay - this should be rare and the
+ // model better know what it is doing..
+
+ if ( !daugsDecayedByParentModel() ){
+
+ if(recursive) {
+
+ for(size_t i=0;i<p->getNDaug();i++){
+
+ rho.setDim(_amp2.dstates[i]);
+
+ if (_amp2.dstates[i]==1) {
+ rho.set(0,0,EvtComplex(1.0,0.0));
+ }
+ else{
+ rho=ampcont.contract(_amp2._dnontrivial[i],_amp2);
+ }
+
+ if (!rho.check()) {
+
+ report(ERROR,"EvtGen") << "-------start error-------"<<endl;
+ report(ERROR,"EvtGen")<<"forward rho failed Check:"<<
+ EvtPDL::name(p->getId()).c_str()<<" "<<p->getChannel()<<" "<<i<<endl;
+
+ report(ERROR,"EvtGen")<<"Parent:"<<EvtPDL::name(p->getParent()->getId()).c_str()<<endl;
+ report(ERROR,"EvtGen")<<"GrandParent:"<<EvtPDL::name(p->getParent()->getParent()->getId()).c_str()<<endl;
+ report(ERROR,"EvtGen")<<"GrandGrandParent:"<<EvtPDL::name(p->getParent()->getParent()->getParent()->getId()).c_str()<<endl;
+
+ report(ERROR,"EvtGen") << rho;
+
+ _amp2.dump();
+ for(size_t ii=0;ii<i+1;ii++){
+ report(ERROR,"EvtGen") << rho_list[ii];
+ }
+ report(ERROR,"EvtGen") << "-------Done with error-------"<<endl;
+ }
+
+ p->getDaug(i)->setSpinDensityForward(rho);
+ p->getDaug(i)->decay();
+
+ rho_list[i+1]=p->getDaug(i)->getSpinDensityBackward();
+
+ if (_amp2.dstates[i]!=1){
+ ampcont=ampcont.contract(_amp2._dnontrivial[i],rho_list[i+1]);
+ }
+
+
+ }
+
+ p->setSpinDensityBackward(_amp2.getBackwardSpinDensity(rho_list));
+
+
+ if (!p->getSpinDensityBackward().check()) {
+
+ report(ERROR,"EvtGen")<<"rho_backward failed Check"<<
+ p->getId().getId()<<" "<<p->getChannel()<<endl;
+
+ report(ERROR,"EvtGen") << p->getSpinDensityBackward();
+
+ }
+ }
+ }
+
+
+ if (getPHOTOS() || EvtRadCorr::alwaysRadCorr()) {
+ int n_daug_orig=p->getNDaug();
+ EvtRadCorr::doRadCorr(p);
+ int n_daug_new=p->getNDaug();
+ for (int i=n_daug_orig;i<n_daug_new;i++){
+ p->getDaug(i)->decay();
+ }
+ }
+
+}
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayAmp.hh
+//
+// Description: Baseclass for models that calculates amplitudes
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDECAYAMP_HH
+#define EVTDECAYAMP_HH
+
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtAmp.hh"
+
+class EvtDecayAmp : public EvtDecayBase{
+
+public:
+
+ void makeDecay(EvtParticle* p, bool recursive=true);
+ inline void setWeight(double weight) {_weight=weight;}
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(const EvtComplex& amp){_amp2.vertex(amp);}
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int i1, const EvtComplex& amp){_amp2.vertex(i1,amp);}
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int i1, int i2, const EvtComplex& amp)
+ {_amp2.vertex(i1,i2,amp);}
+
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int i1, int i2, int i3, const EvtComplex& amp)
+ {_amp2.vertex(i1,i2,i3,amp);}
+
+ /**
+ * sets the amplitudes calculated in the decay objects
+ */
+ void vertex(int *i1, const EvtComplex& amp)
+ { _amp2.vertex(i1,amp);}
+
+ /**
+ * Provide access to the amplitude
+ */
+ const EvtAmp & amplitude() const
+ { return _amp2;}
+
+
+
+
+ virtual ~EvtDecayAmp() {}
+
+protected:
+ EvtAmp _amp2;
+
+private:
+ double _weight;
+
+
+};
+
+
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDecayBase.cc
+//
+// Description: Store decay parameters for one decay.
+//
+// Modification history:
+//
+// RYD September 30, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include "EvtGenBase/EvtStatus.hh"
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include <vector>
+using std::endl;
+using std::fstream;
+void EvtDecayBase::checkQ() {
+ int i;
+ int q=0;
+ int qpar;
+
+ //If there are no daughters (jetset etc) then we do not
+ //want to do this test. Why? Because sometimes the parent
+ //will have a nonzero charge.
+
+ if ( _ndaug != 0) {
+ for(i=0; i<_ndaug; i++ ) {
+ q += EvtPDL::chg3(_daug[i]);
+ }
+ qpar = EvtPDL::chg3(_parent);
+
+ if ( q != qpar ) {
+ report(ERROR,"EvtGen") <<_modelname.c_str()<< " generator expected "
+ << " charge to be conserved, found:"<<endl;
+ report(ERROR,"EvtGen") << "Parent charge of "<<(qpar/3)<<endl;
+ report(ERROR,"EvtGen") << "Sum of daughter charge of "<<(q/3)<<endl;
+ report(ERROR,"EvtGen") << "The parent is "<< EvtPDL::name(_parent).c_str()<<endl;
+ for(i=0; i<_ndaug; i++ ) {
+ report(ERROR,"EvtGen") << "Daughter "<< EvtPDL::name(_daug[i]).c_str()<<endl;
+ }
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+
+ ::abort();
+ }
+ }
+}
+
+
+double EvtDecayBase::getProbMax( double prob ) {
+
+ int i;
+
+ //diagnostics
+ sum_prob+=prob;
+ if (prob>max_prob) max_prob=prob;
+
+
+ if ( defaultprobmax && ntimes_prob<=500 ) {
+ //We are building up probmax with this iteration
+ ntimes_prob += 1;
+ if ( prob > probmax ) { probmax = prob;}
+ if (ntimes_prob==500) {
+ probmax*=1.2;
+ }
+ return 1000000.0*prob;
+ }
+
+ if ( prob> probmax*1.0001) {
+
+ report(INFO,"EvtGen") << "prob > probmax:("<<prob<<">"<<probmax<<")";
+ report(INFO,"") << "("<<_modelname.c_str()<<") ";
+ report(INFO,"") << EvtPDL::name(_parent).c_str()<<" -> ";
+ for(i=0;i<_ndaug;i++){
+ report(INFO,"") << EvtPDL::name(_daug[i]).c_str() << " ";
+ }
+ report(INFO,"") << endl;
+
+ if (defaultprobmax) probmax = prob;
+
+ }
+
+ ntimes_prob += 1;
+
+
+ return probmax;
+
+} //getProbMax
+
+
+double EvtDecayBase::resetProbMax(double prob) {
+
+ report(INFO,"EvtGen") << "Reseting prob max\n";
+ report(INFO,"EvtGen") << "prob > probmax:("<<prob<<">"<<probmax<<")";
+ report(INFO,"") << "("<<_modelname.c_str()<<")";
+ report(INFO,"") << EvtPDL::getStdHep(_parent)<<"->";
+
+ for( int i=0;i<_ndaug;i++){
+ report(INFO,"") << EvtPDL::getStdHep(_daug[i]) << " ";
+ }
+ report(INFO,"") << endl;
+
+ probmax = 0.0;
+ defaultprobmax = 0;
+ ntimes_prob = 0;
+
+ return prob;
+
+}
+
+
+std::string EvtDecayBase::commandName(){
+ return std::string("");
+}
+
+void EvtDecayBase::command(std::string){
+ report(ERROR,"EvtGen") << "Should never call EvtDecayBase::command"<<endl;
+ ::abort();
+}
+
+
+
+void EvtDecayBase::init() {
+
+ //This default version of init does nothing;
+ //A specialized version of this function can be
+ //supplied for each decay model to do initialization.
+
+ return;
+
+}
+
+void EvtDecayBase::initProbMax() {
+
+ //This function is called if the decay does not have a
+ //specialized initialization.
+ //The default is to set the maximum
+ //probability to 0 and the number of times called to 0
+ //and defaultprobmax to 1 such that the decay will be
+ //generated many many times
+ //in order to generate a reasonable maximum probability
+ //for the decay.
+
+ defaultprobmax=1;
+ ntimes_prob = 0;
+ probmax = 0.0;
+
+} //initProbMax
+
+
+void EvtDecayBase::saveDecayInfo(EvtId ipar, int ndaug, EvtId *daug,
+ int narg,std::vector<std::string>& args,
+ std::string name,
+ double brfr) {
+
+ int i;
+
+ _brfr=brfr;
+ _ndaug=ndaug;
+ _narg=narg;
+ _parent=ipar;
+
+ _dsum=0;
+
+ if (_ndaug>0) {
+ _daug=new EvtId [_ndaug];
+ for(i=0;i<_ndaug;i++){
+ _daug[i]=daug[i];
+ _dsum+=daug[i].getAlias();
+ }
+ }
+ else{
+ _daug=0;
+ }
+
+ if (_narg>0) {
+ _args=new std::string[_narg+1];
+ for(i=0;i<_narg;i++){
+ _args[i]=args[i];
+ }
+ }
+ else{
+ _args = 0;
+ }
+
+ _modelname=name;
+
+ this->init();
+ this->initProbMax();
+
+ if (_chkCharge){
+ this->checkQ();
+ }
+
+
+ if (defaultprobmax){
+ report(INFO,"EvtGen") << "No default probmax for ";
+ report(INFO,"") << "("<<_modelname.c_str()<<") ";
+ report(INFO,"") << EvtPDL::name(_parent).c_str()<<" -> ";
+ for(i=0;i<_ndaug;i++){
+ report(INFO,"") << EvtPDL::name(_daug[i]).c_str() << " ";
+ }
+ report(INFO,"") << endl;
+ report(INFO,"") << "This is fine for development, but must be provided for production."<<endl;
+ report(INFO,"EvtGen") << "Never fear though - the decay will use the \n";
+ report(INFO,"EvtGen") << "500 iterations to build up a good probmax \n";
+ report(INFO,"EvtGen") << "before accepting a decay. "<<endl;
+ }
+
+}
+
+EvtDecayBase::EvtDecayBase() {
+
+ //the default is that the user module does _not_ set
+ // any probmax.
+ defaultprobmax=1;
+ ntimes_prob = 0;
+ probmax = 0.0;
+
+ _photos=0;
+ _verbose=0;
+ _summary=0;
+ _parent=EvtId(-1,-1);
+ _ndaug=0;
+ _narg=0;
+ _daug=0;
+ _args=0;
+ _argsD=0;
+ _modelname="**********";
+
+ //Default is to check that charge is conserved
+ _chkCharge=1;
+
+ //statistics collection!
+
+ max_prob=0.0;
+ sum_prob=0.0;
+
+}
+
+
+
+void EvtDecayBase::printSummary() const {
+ if (ntimes_prob>0) {
+
+ report(INFO,"EvtGen") << "Calls = "<<ntimes_prob<<" eff: "<<
+ sum_prob/(probmax*ntimes_prob)<<" frac. max:"<<max_prob/probmax;
+ report(INFO,"") <<" probmax:"<<probmax<<" max:"<<max_prob<<" : ";
+ }
+
+ printInfo();
+}
+
+
+void EvtDecayBase::printInfo() const {
+ report(INFO,"") << EvtPDL::name(_parent).c_str()<<" -> ";
+ for(int i=0;i<_ndaug;i++){
+ report(INFO,"") << EvtPDL::name(_daug[i]).c_str() << " ";
+ }
+ report(INFO,"") << " ("<<_modelname.c_str()<<")"<< endl;
+}
+
+
+EvtDecayBase::~EvtDecayBase() {
+
+ if (_daug!=0){
+ delete [] _daug;
+ }
+
+ if (_args!=0){
+ delete [] _args;
+ }
+
+ if (_argsD!=0){
+ delete [] _argsD;
+ }
+
+
+}
+
+void EvtDecayBase::setProbMax(double prbmx){
+
+ defaultprobmax=0;
+ probmax=prbmx;
+
+}
+
+void EvtDecayBase::noProbMax(){
+
+ defaultprobmax=0;
+
+}
+
+
+double EvtDecayBase::findMaxMass(EvtParticle *p) {
+
+
+ double maxOkMass=EvtPDL::getMaxMass(p->getId());
+
+ //protect against vphotons
+ if ( maxOkMass < 0.0000000001 ) return 10000000.;
+ //and against already determined masses
+ if ( p->hasValidP4() ) maxOkMass=p->mass();
+
+ EvtParticle *par=p->getParent();
+ if ( par ) {
+ double maxParMass=findMaxMass(par);
+ size_t i;
+ double minDaugMass=0.;
+ for(i=0;i<par->getNDaug();i++){
+ EvtParticle *dau=par->getDaug(i);
+ if ( dau!=p) {
+ // it might already have a mass
+ if ( dau->isInitialized() || dau->hasValidP4() )
+ minDaugMass+=dau->mass();
+ else
+ //give it a bit of phase space
+ minDaugMass+=1.000001*EvtPDL::getMinMass(dau->getId());
+ }
+ }
+ if ( maxOkMass>(maxParMass-minDaugMass)) maxOkMass=maxParMass-minDaugMass;
+ }
+ return maxOkMass;
+}
+
+
+// given list of daughters ( by number ) returns a
+// list of viable masses.
+
+void EvtDecayBase::findMass(EvtParticle *p) {
+
+ //Need to also check that this mass does not screw
+ //up the parent
+ //This code assumes that for the ith daughter, 0..i-1
+ //already have a mass
+ double maxOkMass=findMaxMass(p);
+
+ int count=0;
+ double mass;
+ bool massOk=false;
+ size_t i;
+ while (!massOk) {
+ count++;
+ if ( count > 10000 ) {
+ report(INFO,"EvtGen") << "Can not find a valid mass for: " << EvtPDL::name(p->getId()).c_str() <<endl;
+ report(INFO,"EvtGen") << "Now printing parent and/or grandparent tree\n";
+ if ( p->getParent() ) {
+ if ( p->getParent()->getParent() ) {
+ p->getParent()->getParent()->printTree();
+ report(INFO,"EvtGen") << p->getParent()->getParent()->mass() <<endl;
+ report(INFO,"EvtGen") << p->getParent()->mass() <<endl;
+ }
+ else{
+ p->getParent()->printTree();
+ report(INFO,"EvtGen") << p->getParent()->mass() <<endl;
+ }
+ }
+ else p->printTree();
+ report(INFO,"EvtGen") << "maxokmass=" << maxOkMass << " " << EvtPDL::getMinMass(p->getId()) << " " << EvtPDL::getMaxMass(p->getId())<<endl;
+ if ( p->getNDaug() ) {
+ for (i=0; i<p->getNDaug(); i++) {
+ report(INFO,"EvtGen") << p->getDaug(i)->mass()<<" ";
+ }
+ report(INFO,"EvtGen") << endl;
+ }
+ if ( maxOkMass >= EvtPDL::getMinMass(p->getId()) ) {
+ report(INFO,"EvtGen") << "taking a default value\n";
+ p->setMass(maxOkMass);
+ return;
+ }
+ assert(0);
+ }
+ mass = EvtPDL::getMass(p->getId());
+ //Just need to check that this mass is > than
+ //the mass of all daughters
+ double massSum=0.;
+ if ( p->getNDaug() ) {
+ for (i=0; i<p->getNDaug(); i++) {
+ massSum+= p->getDaug(i)->mass();
+ }
+ }
+ //some special cases are handled with 0 (stable) or 1 (k0->ks/kl) daughters
+ if (p->getNDaug()<2) massOk=true;
+ if ( p->getParent() ) {
+ if ( p->getParent()->getNDaug()==1 ) massOk=true;
+ }
+ if ( !massOk ) {
+ if (massSum < mass) massOk=true;
+ if ( mass> maxOkMass) massOk=false;
+ }
+ }
+
+ p->setMass(mass);
+
+}
+
+
+void EvtDecayBase::findMasses(EvtParticle *p, int ndaugs,
+ EvtId daugs[10], double masses[10]) {
+
+ int i;
+ double mass_sum;
+
+ int count=0;
+
+ if (!( p->firstornot() )) {
+ for (i = 0; i < ndaugs; i++ ) {
+ masses[i] = p->getDaug(i)->mass();
+ } //for
+ } //if
+ else {
+ p->setFirstOrNot();
+ // if only one daughter do it
+
+ if (ndaugs==1) {
+ masses[0]=p->mass();
+ return;
+ }
+
+ //until we get a combo whose masses are less than _parent mass.
+ do {
+ mass_sum = 0.0;
+
+ for (i = 0; i < ndaugs; i++ ) {
+ masses[i] = EvtPDL::getMass(daugs[i]);
+ mass_sum = mass_sum + masses[i];
+ }
+
+ count++;
+
+
+ if(count==10000) {
+ report(ERROR,"EvtGen") <<"Decaying particle:"<<
+ EvtPDL::name(p->getId()).c_str()<<" (m="<<p->mass()<<")"<<endl;
+ report(ERROR,"EvtGen") <<"To the following daugthers"<<endl;
+ for (i = 0; i < ndaugs; i++ ) {
+ report(ERROR,"EvtGen") <<
+ EvtPDL::name(daugs[i]).c_str() << endl;
+ }
+ report(ERROR,"EvtGen") << "Has been rejected "<<count
+ << " times, will now take minimal masses "
+ << " of daugthers"<<endl;
+
+ mass_sum=0.;
+ for (i = 0; i < ndaugs; i++ ) {
+ masses[i] = EvtPDL::getMinMass(daugs[i]);
+ mass_sum = mass_sum + masses[i];
+ }
+ if (mass_sum > p->mass()){
+ report(ERROR,"EvtGen") << "Parent mass="<<p->mass()
+ << "to light for daugthers."<<endl
+ << "Will throw the event away."<<endl;
+ //dont terminate - start over on the event.
+ EvtStatus::setRejectFlag();
+ mass_sum=0.;
+ // ::abort();
+ }
+
+ }
+ } while ( mass_sum > p->mass());
+ } //else
+
+ return;
+}
+
+void EvtDecayBase::checkNArg(int a1, int a2, int a3, int a4) {
+
+ if ( _narg != a1 && _narg != a2 && _narg != a3 && _narg != a4 ) {
+ report(ERROR,"EvtGen") << _modelname.c_str() << " generator expected "<<endl;
+ report(ERROR,"EvtGen") << a1<<endl;;
+ if ( a2>-1) {
+ report(ERROR,"EvtGen") << " or " << a2<<endl;
+ }
+ if ( a3>-1) {
+ report(ERROR,"EvtGen") << " or " << a3<<endl;
+ }
+ if ( a4>-1) {
+ report(ERROR,"EvtGen") << " or " << a4<<endl;
+ }
+ report(ERROR,"EvtGen") << " arguments but found:"<< _narg << endl;
+ printSummary();
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+}
+void EvtDecayBase::checkNDaug(int d1, int d2){
+
+ if ( _ndaug != d1 && _ndaug != d2 ) {
+ report(ERROR,"EvtGen") << _modelname.c_str() << " generator expected ";
+ report(ERROR,"EvtGen") << d1;
+ if ( d2>-1) {
+ report(ERROR,"EvtGen") << " or " << d2;
+ }
+ report(ERROR,"EvtGen") << " daughters but found:"<< _ndaug << endl;
+ printSummary();
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+}
+
+void EvtDecayBase::checkSpinParent(EvtSpinType::spintype sp) {
+
+ EvtSpinType::spintype parenttype = EvtPDL::getSpinType(getParentId());
+ if ( parenttype != sp ) {
+ report(ERROR,"EvtGen") << _modelname.c_str()
+ << " did not get the correct parent spin\n";
+ printSummary();
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+}
+
+void EvtDecayBase::checkSpinDaughter(int d1, EvtSpinType::spintype sp) {
+
+ EvtSpinType::spintype parenttype = EvtPDL::getSpinType(getDaug(d1));
+ if ( parenttype != sp ) {
+ report(ERROR,"EvtGen") << _modelname.c_str()
+ << " did not get the correct daughter spin d="
+ << d1 << endl;
+ printSummary();
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+}
+
+double* EvtDecayBase::getArgs() {
+
+ if ( _argsD ) return _argsD;
+ //The user has asked for a list of doubles - the arguments
+ //better all be doubles...
+ if ( _narg==0 ) return _argsD;
+
+ _argsD = new double[_narg];
+
+ int i;
+ char * tc;
+ for(i=0;i<_narg;i++) {
+ _argsD[i] = strtod(_args[i].c_str(),&tc);
+ }
+ return _argsD;
+}
+
+double EvtDecayBase::getArg(unsigned int j) {
+
+ // Verify string
+
+ if (getParentId().getId() == 25) {
+ int i;
+ ++i;
+ }
+
+ const char* str = _args[j].c_str();
+ int i = 0;
+ while(str[i]!=0){
+ if (isalpha(str[i]) && str[i]!='e') {
+
+ report(INFO,"EvtGen") << "String " << str << " is not a number" << endl;
+ assert(0);
+ }
+ i++;
+ }
+
+ char** tc=0;
+ double result = strtod(_args[j].c_str(),tc);
+
+ if (_storedArgs.size() < j+1 ){ // then store the argument's value
+ _storedArgs.push_back(result);
+ }
+
+ return result;
+}
+
+
+
+
+
+bool EvtDecayBase::matchingDecay(const EvtDecayBase &other) const {
+
+ if ( _ndaug != other._ndaug) return false;
+ if ( _parent != other._parent) return false;
+
+ std::vector<int> useDs;
+ for ( int i=0; i<_ndaug; i++) useDs.push_back(0);
+
+ for ( int i=0; i<_ndaug; i++) {
+ bool foundIt=false;
+ for ( int j=0; j<_ndaug; j++) {
+ if ( useDs[j] == 1 ) continue;
+ if ( _daug[i] == other._daug[j] && _daug[i].getAlias() == other._daug[j].getAlias()) {
+ foundIt=true;
+ useDs[j]=1;
+ break;
+ }
+ }
+ if ( foundIt==false) return false;
+ }
+ for ( int i=0; i<_ndaug; i++) if ( useDs[i]==0) return false;
+
+ return true;
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayBase.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDECAYBASE_HH
+#define EVTDECAYBASE_HH
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtSpinType.hh"
+#include <stdlib.h>
+#include <vector>
+class EvtParticle;
+class EvtSpinType;
+
+class EvtDecayBase{
+ public:
+
+ //These pure virtual methods has to be implemented
+ //by any derived class
+ virtual std::string getName()=0;
+ virtual void decay(EvtParticle *p)=0;
+ virtual void makeDecay(EvtParticle *p,bool recursive=true)=0;
+ virtual EvtDecayBase* clone()=0;
+
+
+ //These virtual methods can be implemented by the
+ //derived class to implement nontrivial functionality.
+ virtual void init();
+ virtual void initProbMax();
+ virtual std::string commandName();
+ virtual void command(std::string cmd);
+
+
+ double getProbMax( double prob );
+ double resetProbMax( double prob );
+
+ EvtDecayBase();
+ virtual ~EvtDecayBase();
+
+ virtual bool matchingDecay(const EvtDecayBase &other) const;
+
+ EvtId getParentId() const {return _parent;}
+ double getBranchingFraction() const {return _brfr;}
+ void disableCheckQ() {_chkCharge=0;};
+ void checkQ();
+ int getNDaug() const {return _ndaug;}
+ EvtId* getDaugs() {return _daug;}
+ EvtId getDaug(int i) const {return _daug[i];}
+ int getNArg() const {return _narg;}
+ int getPHOTOS() const {return _photos;}
+ void setPHOTOS() {_photos=1;}
+ void setVerbose() {_verbose=1;}
+ void setSummary() {_summary=1;}
+ double* getArgs();
+ std::string* getArgsStr() {return _args;}
+ double getArg(unsigned int j) ;
+ double getStoredArg(int j) const {return _storedArgs.at(j);}
+ double getNStoredArg() const {return _storedArgs.size();}
+ std::string getArgStr(int j) const {return _args[j];}
+ std::string getModelName() const {return _modelname; }
+ int getDSum() const {return _dsum; }
+ int summary() const {return _summary; }
+ int verbose() const {return _verbose; }
+
+ void saveDecayInfo(EvtId ipar, int ndaug,EvtId *daug,
+ int narg, std::vector<std::string>& args,
+ std::string name, double brfr);
+ void printSummary() const ;
+ void printInfo() const ;
+
+
+ //Does not really belong here but I don't have a better place.
+ static void findMasses(EvtParticle *p, int ndaugs,
+ EvtId daugs[10], double masses[10]);
+ static void findMass(EvtParticle *p);
+ static double findMaxMass(EvtParticle *p);
+
+ //Methods to set the maximum probability.
+ void setProbMax(double prbmx);
+ void noProbMax();
+
+ void checkNArg(int a1, int a2=-1, int a3=-1, int a4=-1);
+ void checkNDaug(int d1, int d2=-1);
+
+ void checkSpinParent(EvtSpinType::spintype sp);
+ void checkSpinDaughter(int d1, EvtSpinType::spintype sp);
+
+ // lange - some models can take more daughters
+ // than they really have to fool aliases (VSSBMIX for example)
+ virtual int nRealDaughters() { return _ndaug;}
+
+
+protected:
+
+ bool _daugsDecayedByParentModel;
+ bool daugsDecayedByParentModel() {return _daugsDecayedByParentModel;}
+
+private:
+
+
+ int _photos;
+ int _ndaug;
+ EvtId _parent;
+ int _narg;
+ std::vector<double> _storedArgs;
+ EvtId *_daug;
+ double *_argsD;
+ std::string *_args;
+ std::string _modelname;
+ double _brfr;
+ int _dsum;
+ int _summary;
+ int _verbose;
+
+
+ int defaultprobmax;
+ double probmax;
+ int ntimes_prob;
+
+ //Should charge conservation be checked when model is
+ //created? 1=yes 0 no.
+ int _chkCharge;
+
+
+ //These are used for gathering statistics.
+ double sum_prob;
+ double max_prob;
+
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayIncoherent.cc
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRadCorr.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtPDL.hh"
+
+
+void EvtDecayIncoherent::makeDecay(EvtParticle* p, bool recursive){
+
+ //initialize this the hard way..
+ //Lange June 26, 2000
+ for (size_t i=0; i<static_cast<unsigned int>(MAX_DAUG); i++ ) {
+ spinDensitySet[i]=0;
+ }
+
+ _daugsDecayedByParentModel=false;
+
+ decay(p);
+ p->setDecayProb(1.0);
+
+ EvtSpinDensity rho;
+
+ rho.setDiag(p->getSpinStates());
+
+ p->setSpinDensityBackward(rho);
+
+ if (getPHOTOS() || EvtRadCorr::alwaysRadCorr()) {
+ EvtRadCorr::doRadCorr(p);
+ }
+
+ if(!recursive) return;
+
+ //Now decay the daughters.
+
+ if ( !daugsDecayedByParentModel()) {
+
+ for(size_t i=0;i<p->getNDaug();i++){
+ //Need to set the spin density of the daughters to be
+ //diagonal.
+ rho.setDiag(p->getDaug(i)->getSpinStates());
+ //if (p->getDaug(i)->getNDaug()==0){
+ //only do this if the user has not already set the
+ //spin density matrix herself.
+ //Lange June 26, 2000
+ if ( isDaughterSpinDensitySet(i)==0 ) {
+ p->getDaug(i)->setSpinDensityForward(rho);
+ }
+ else{
+ //report(INFO,"EvtGen") << "spinDensitymatrix already set!!!\n";
+ EvtSpinDensity temp=p->getDaug(i)->getSpinDensityForward();
+ // report(INFO,"EvtGen") <<temp<<endl;
+ }
+ //Now decay the daughter. Really!
+ p->getDaug(i)->decay();
+ }
+ }
+
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayIncoherent.hh
+//
+// Description: Base class for models that calculate
+// decay kinematics and do not do any accept/reject.
+// Useful e.g. for interface to other generators
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EvtDecayIncoherent_HH
+#define EvtDecayIncoherent_HH
+
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+
+
+class EvtDecayIncoherent : public EvtDecayBase{
+
+public:
+
+ void makeDecay(EvtParticle* p, bool recursive=true);
+
+ virtual ~EvtDecayIncoherent() {}
+
+ void setDaughterSpinDensity(int daughter)
+ { spinDensitySet[daughter]=1; return;}
+
+ int isDaughterSpinDensitySet(int daughter)
+ {return spinDensitySet[daughter];}
+
+private:
+
+ int spinDensitySet[MAX_DAUG];
+
+};
+
+
+
+
+#endif
+
+
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtDecayMode.cc,v 1.17 2009/02/18 03:31:38 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+// Parses a decay string to identify the name
+// of the mother and of the daughters. The string should
+// be in standard format e.g. "B+ -> pi+ pi+ pi-"
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <assert.h>
+#include <iostream>
+#include "EvtGenBase/EvtDecayMode.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+using std::ostream;
+
+using std::string;
+using std::vector;
+
+
+EvtDecayMode::EvtDecayMode(std::string mother,vector<string> dau)
+ : _mother(mother),
+ _dau(dau)
+{
+}
+
+
+EvtDecayMode::EvtDecayMode(const EvtDecayMode& other)
+ : _mother(other._mother),
+ _dau(other._dau)
+{
+}
+
+
+EvtDecayMode::EvtDecayMode(const char* decay)
+{
+ // Parse the decay string, it should be in a standard
+ // format, e.g. "B+ -> pi+ pi+ pi-" with all spaces
+
+ string s(decay);
+
+ // mother
+
+ string::size_type i = s.find_first_not_of(" ");
+ string::size_type j = s.find_first_of(" ",i);
+
+ if(i == string::npos) {
+
+ report(INFO,"EvtGen") << "No non-space character found" << endl;
+ assert(0);
+ }
+
+ if(j == string::npos) {
+
+ report(INFO,"EvtGen") << "No space before -> found" << endl;
+ assert(0);
+ }
+
+ _mother = string(s,i,j-i);
+
+ i = s.find_first_not_of(" ",j);
+ j = s.find_first_of("->",j);
+ if(i != j) {
+
+ report(INFO,"EvtGen") << "Multiple mothers?" << i << "," << j << endl;
+ assert(0);
+ }
+ j += 2;
+
+ while(1) {
+
+ i = s.find_first_not_of(" ",j);
+ j = s.find_first_of(" ",i);
+
+ if(i == string::npos) break;
+ if(j == string::npos) {
+ _dau.push_back(string(s,i,s.size()-i+1));
+ break;
+ } else {
+ _dau.push_back(string(s,i,j-i));
+ }
+ }
+}
+
+
+
+EvtDecayMode::~EvtDecayMode()
+{}
+
+
+const char* EvtDecayMode::mother() const
+{
+ return _mother.c_str();
+}
+
+
+int EvtDecayMode::nD() const
+{
+ return _dau.size();
+}
+
+
+const char* EvtDecayMode::dau(int i) const
+{
+ assert(0<=i && i< (int) _dau.size());
+ return _dau[i].c_str();
+}
+
+std::string EvtDecayMode::mode() const
+{
+ string ret = _mother + string(" -> ");
+
+ for(size_t i=0;i<_dau.size()-1;i++) {
+ ret += string(_dau[i]) + string(" ");
+ }
+ ret += _dau[_dau.size()-1];
+ return ret;
+}
+
+
+ostream& EvtDecayMode::print(ostream& os) const
+{
+ os << _mother.c_str() << " ->";
+ for(size_t i=0;i<_dau.size();i++) {
+ os << " " << _dau[i].c_str();
+ }
+ return os;
+}
+
+
+std::string EvtDecayMode::m(EvtCyclic3::Pair i) const
+{
+ string s("m(");
+ s.append(dau(EvtCyclic3::first(i)));
+ s.append(",");
+ s.append(dau(EvtCyclic3::second(i)));
+ s.append(")");
+ return s;
+}
+
+
+std::string EvtDecayMode::q(EvtCyclic3::Pair i) const
+{
+ string s("q(");
+ s.append(dau(EvtCyclic3::first(i)));
+ s.append(",");
+ s.append(dau(EvtCyclic3::second(i)));
+ s.append(")");
+ return s;
+}
+
+
+std::string EvtDecayMode::dal(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const
+{
+ string s(q(i));
+ s.append(":");
+ s.append(q(j));
+ return s;
+}
+
+
+ostream& operator<<(ostream& os, const EvtDecayMode& mode)
+{
+ mode.print(os);
+ return os;
+}
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtDecayMode.hh,v 1.10 2009/02/15 18:15:59 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+
+#ifndef EVT_DECAY_MODE_HH
+#define EVT_DECAY_MODE_HH
+
+#include <string>
+#include <vector>
+#include "EvtGenBase/EvtCyclic3.hh"
+
+#include <iosfwd>
+
+class EvtDecayMode {
+
+public:
+
+ EvtDecayMode(const char* decay);
+ EvtDecayMode(const EvtDecayMode& other);
+ EvtDecayMode(std::string mother,std::vector<std::string> dau);
+ ~EvtDecayMode();
+
+ const char* mother() const;
+ int nD() const;
+ const char* dau(int i) const;
+
+ std::ostream& print(std::ostream&) const;
+
+
+ // Frequent name combinations
+
+ std::string m(EvtCyclic3::Pair i) const;
+ std::string q(EvtCyclic3::Pair i) const;
+ std::string dal(EvtCyclic3::Pair i, EvtCyclic3::Pair j) const;
+ std::string mode() const;
+
+private:
+
+ std::string _mother;
+ std::vector<std::string> _dau;
+
+};
+
+
+std::ostream& operator<<(std::ostream&,const EvtDecayMode&);
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDecayParm.cc
+//
+// Description: Store decay parameters for one decay.
+//
+// Modification history:
+//
+// RYD April 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include "EvtGenBase/EvtDecayParm.hh"
+#include <string>
+using std::fstream;
+
+void EvtDecayParm::init(fcnPtr pfcn, int ndaug, int *daugs, int narg,
+ double *args, std::string name) {
+
+ int i;
+
+ itsfcn=pfcn;
+ itsndaug=ndaug;
+ itsnarg=narg;
+
+ itsdaugs=new int [itsndaug];
+ for(i=0;i<itsndaug;i++){
+ itsdaugs[i]=daugs[i];
+ }
+ itsargs=new double [itsnarg];
+ for(i=0;i<itsnarg;i++){
+ itsargs[i]=args[i];
+ }
+ modelname=name;
+}
+
+EvtDecayParm::EvtDecayParm() {
+
+ itsfcn=0;
+ itsndaug=0;
+ itsnarg=0;
+ itsdaugs=0;
+ itsargs=0;
+
+ modelname="**********";
+
+}
+
+EvtDecayParm::~EvtDecayParm() {
+
+ if (itsdaugs!=0){
+ delete [] itsdaugs;
+ }
+
+ if (itsargs!=0){
+ delete [] itsargs;
+ }
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayParm.hh
+//
+// Description: Class to keep the arguments and daughters of a decay
+//
+// Modification history:
+//
+// RYD April 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDECAYPARM_HH
+#define EVTDECAYPARM_HH
+
+
+#include <string>
+
+class EvtParticle;
+
+typedef void ( *fcnPtr ) ( EvtParticle *,int,int *,double* );
+
+class EvtDecayParm {
+
+public:
+
+ EvtDecayParm();
+ ~EvtDecayParm();
+
+ void init(fcnPtr pfcn, int ndaug, int *daugs, int narg,
+ double *args, std::string name);
+
+ int getNDaug() {return itsndaug; }
+ int getNArg() {return itsnarg; }
+ int* getDaugs() {return itsdaugs; }
+ double* getArgs() {return itsargs; }
+ fcnPtr getfcnPtr() {return itsfcn; }
+ std::string getModelName() {return modelname; }
+
+private:
+
+
+ fcnPtr itsfcn;
+ int itsndaug;
+ int* itsdaugs;
+ int itsnarg;
+ double* itsargs;
+ std::string modelname;
+
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayProb.cc
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtDecayProb.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRadCorr.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+void EvtDecayProb::makeDecay(EvtParticle* p, bool recursive){
+
+ int ntimes=10000;
+
+ double dummy;
+
+ do{
+ _weight=1.0;
+ _daugsDecayedByParentModel=false;
+
+ decay(p);
+
+ ntimes--;
+
+ _prob = _prob/_weight;
+
+ dummy=getProbMax(_prob)*EvtRandom::Flat();
+ p->setDecayProb(_prob/getProbMax(_prob));
+
+ }while(ntimes&&(_prob<dummy));
+
+ if (ntimes==0){
+ report(DEBUG,"EvtGen") << "Tried accept/reject:10000"
+ <<" times, and rejected all the times!"<<endl;
+ report(DEBUG,"EvtGen") << "Is therefore accepting the last event!"<<endl;
+ report(DEBUG,"EvtGen") << "Decay of particle:"<<
+ EvtPDL::name(p->getId()).c_str()<<"(channel:"<<
+ p->getChannel()<<") with mass "<<p->mass()<<endl;
+
+ for(size_t ii=0;ii<p->getNDaug();ii++){
+ report(DEBUG,"EvtGen") <<"Daughter "<<ii<<":"<<
+ EvtPDL::name(p->getDaug(ii)->getId()).c_str()<<" with mass "<<
+ p->getDaug(ii)->mass()<<endl;
+ }
+ }
+
+
+ EvtSpinDensity rho;
+ rho.setDiag(p->getSpinStates());
+ p->setSpinDensityBackward(rho);
+ if (getPHOTOS() || EvtRadCorr::alwaysRadCorr()) {
+ EvtRadCorr::doRadCorr(p);
+ }
+
+ if(!recursive) return;
+
+ //Now decay the daughters.
+ if ( !daugsDecayedByParentModel()) {
+ for(size_t i=0;i<p->getNDaug();i++){
+ //Need to set the spin density of the daughters to be
+ //diagonal.
+ rho.setDiag(p->getDaug(i)->getSpinStates());
+ p->getDaug(i)->setSpinDensityForward(rho);
+
+ //Now decay the daughter. Really!
+ p->getDaug(i)->decay();
+ }
+ }
+
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayProb.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EvtDecayProb_HH
+#define EvtDecayProb_HH
+
+#include "EvtGenBase/EvtDecayBase.hh"
+
+class EvtParticle;
+
+class EvtDecayProb : public EvtDecayBase{
+
+public:
+
+ void makeDecay(EvtParticle* p, bool recursive=true);
+
+ void setProb(double prob) { _prob=prob;}
+ double getProb() { return _prob;}
+ inline void setWeight(double weight) {_weight=weight;}
+
+ virtual ~EvtDecayProb() {}
+
+
+private:
+
+ double _prob;
+ double _weight;
+
+};
+
+
+
+#endif
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDecayTable.cc
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <ctype.h>
+#include <stdlib.h>
+#include <string.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtSymTable.hh"
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtModel.hh"
+#include "EvtGenBase/EvtParser.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtModelAlias.hh"
+#include "EvtGenBase/EvtRadCorr.hh"
+using std::endl;
+using std::fstream;
+using std::ifstream;
+
+std::vector<EvtParticleDecayList> EvtDecayTable::_decaytable;
+
+int EvtDecayTable::getNMode(int ipar){
+ return _decaytable[ipar].getNMode();
+}
+
+EvtDecayBase* EvtDecayTable::getDecay(int ipar, int imode){
+ return _decaytable[ipar].getDecayModel(imode);
+}
+
+void EvtDecayTable::printSummary(){
+
+ for(size_t i=0;i<EvtPDL::entries();i++){
+ _decaytable[i].printSummary();
+ }
+
+}
+
+EvtDecayBase* EvtDecayTable::getDecayFunc(EvtParticle *p){
+ int partnum;
+
+ partnum=p->getId().getAlias();
+
+ if ( _decaytable[partnum].getNMode()==0 ) return 0;
+ return _decaytable[partnum].getDecayModel(p);
+
+}
+
+void EvtDecayTable::readDecayFile(const std::string dec_name, bool verbose){
+
+ if ( _decaytable.size() < EvtPDL::entries() ) _decaytable.resize(EvtPDL::entries());
+ EvtModel &modelist=EvtModel::instance();
+ int i;
+
+ report(INFO,"EvtGen") << "In readDecayFile, reading:"<<dec_name.c_str()<<endl;
+
+ ifstream fin;
+
+ fin.open(dec_name.c_str());
+ if (!fin) {
+ report(ERROR,"EvtGen") << "Could not open "<<dec_name.c_str()<<endl;
+ }
+ fin.close();
+
+ EvtParser parser;
+ parser.read(dec_name);
+
+ int itok;
+
+ int hasend=0;
+
+ std::string token;
+
+ for(itok=0;itok<parser.getNToken();itok++){
+
+ token=parser.getToken(itok);
+
+ if (token=="End") hasend=1;
+
+ }
+
+ if (!hasend){
+ report(ERROR,"EvtGen") << "Could not find an 'End' in "<<dec_name.c_str()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution."<<endl;
+ ::abort();
+ }
+
+
+
+ std::string model,parent,sdaug;
+
+ EvtId ipar;
+
+ int n_daugh;
+ EvtId daught[MAX_DAUG];
+ double brfr;
+
+ int itoken=0;
+
+ std::vector<EvtModelAlias> modelAliasList;
+
+
+ do{
+
+ token=parser.getToken(itoken++);
+
+ //Easy way to turn off photos... Lange September 5, 2000
+ if (token=="noPhotos"){
+ EvtRadCorr::setNeverRadCorr();
+ if ( verbose )
+ report(INFO,"EvtGen")
+ << "As requested, PHOTOS will be turned off."<<endl;
+ }
+ else if (token=="yesPhotos"){
+ EvtRadCorr::setAlwaysRadCorr();
+ if ( verbose)
+ report(INFO,"EvtGen")
+ << "As requested, PHOTOS will be turned on for all decays."<<endl;
+ }
+ else if (token=="normalPhotos"){
+ EvtRadCorr::setNormalRadCorr();
+ if ( verbose)
+ report(INFO,"EvtGen")
+ << "As requested, PHOTOS will be turned on only when requested."<<endl;
+ }
+ else if (token=="Alias"){
+
+ std::string newname;
+ std::string oldname;
+
+ newname=parser.getToken(itoken++);
+ oldname=parser.getToken(itoken++);
+
+ EvtId id=EvtPDL::getId(oldname);
+
+ if (id==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<oldname.c_str()
+ <<" on line "<<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ EvtPDL::alias(id,newname);
+ if ( _decaytable.size() < EvtPDL::entries() ) _decaytable.resize(EvtPDL::entries());
+
+ } else if (token=="ModelAlias"){
+ std::vector<std::string> modelArgList;
+
+ std::string aliasName=parser.getToken(itoken++);
+ std::string modelName=parser.getToken(itoken++);
+
+ std::string nameTemp;
+ do{
+ nameTemp=parser.getToken(itoken++);
+ if (nameTemp!=";") {
+ modelArgList.push_back(nameTemp);
+ }
+ }while(nameTemp!=";");
+ EvtModelAlias newAlias(aliasName,modelName,modelArgList);
+ modelAliasList.push_back(newAlias);
+ } else if (token=="ChargeConj"){
+
+ std::string aname;
+ std::string abarname;
+
+ aname=parser.getToken(itoken++);
+ abarname=parser.getToken(itoken++);
+
+ EvtId a=EvtPDL::getId(aname);
+ EvtId abar=EvtPDL::getId(abarname);
+
+ if (a==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<aname.c_str()
+ <<" on line "<<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ if (abar==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<abarname.c_str()
+ <<" on line "<<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+
+ EvtPDL::aliasChgConj(a,abar);
+
+ } else if (modelist.isCommand(token)){
+
+ std::string cnfgstr;
+
+ cnfgstr=parser.getToken(itoken++);
+
+ modelist.storeCommand(token,cnfgstr);
+
+ } else if (token=="CDecay"){
+
+ std::string name;
+
+ name=parser.getToken(itoken++);
+ ipar=EvtPDL::getId(name);
+
+ if (ipar==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<name.c_str()
+ <<" on line "
+ <<parser.getLineofToken(itoken-1)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ EvtId cipar=EvtPDL::chargeConj(ipar);
+
+ if (_decaytable[ipar.getAlias()].getNMode()!=0) {
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<
+ "Redefined decay of "<<name.c_str()<<" in CDecay"<<endl;
+
+ _decaytable[ipar.getAlias()].removeDecay();
+ }
+
+ //take contents of cipar and conjugate and store in ipar
+ _decaytable[ipar.getAlias()].makeChargeConj(&_decaytable[cipar.getAlias()]);
+
+ } else if (token=="Define"){
+
+ std::string name;
+
+ name=parser.getToken(itoken++);
+ // value=atof(parser.getToken(itoken++).c_str());
+
+ EvtSymTable::define(name,parser.getToken(itoken++));
+
+ //New code Lange April 10, 2001 - allow the user
+ //to change particle definitions of EXISTING
+ //particles on the fly
+ } else if (token=="Particle"){
+
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ if ( verbose )
+ report(INFO,"EvtGen") << pname.c_str() << endl;
+ //There should be at least the mass
+ double newMass=atof(parser.getToken(itoken++).c_str());
+ EvtId thisPart = EvtPDL::getId(pname);
+ double newWidth=EvtPDL::getMeanMass(thisPart);
+ if ( parser.getNToken() > 3 ) newWidth=atof(parser.getToken(itoken++).c_str());
+
+ //Now make the change!
+ EvtPDL::reSetMass(thisPart, newMass);
+ EvtPDL::reSetWidth(thisPart, newWidth);
+
+ if (verbose )
+ report(INFO,"EvtGen") << "Changing particle properties of " <<
+ pname.c_str() << " Mass=" << newMass << " Width="<<newWidth<<endl;
+
+ } else if ( token=="ChangeMassMin") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ double tmass=atof(parser.getToken(itoken++).c_str());
+
+ EvtId thisPart = EvtPDL::getId(pname);
+ EvtPDL::reSetMassMin(thisPart,tmass);
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Refined minimum mass for " << EvtPDL::name(thisPart).c_str() << " to be " << tmass << endl;
+
+ } else if ( token=="ChangeMassMax") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ double tmass=atof(parser.getToken(itoken++).c_str());
+ EvtId thisPart = EvtPDL::getId(pname);
+ EvtPDL::reSetMassMax(thisPart,tmass);
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Refined maximum mass for " << EvtPDL::name(thisPart).c_str() << " to be " << tmass << endl;
+
+ } else if ( token=="IncludeBirthFactor") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ bool yesno=false;
+ if ( parser.getToken(itoken++).c_str()=="yes") yesno=true;
+ EvtId thisPart = EvtPDL::getId(pname);
+ EvtPDL::includeBirthFactor(thisPart,yesno);
+ if ( verbose ) {
+ if ( yesno ) report(DEBUG,"EvtGen") <<"Include birth factor for " << EvtPDL::name(thisPart).c_str() <<endl;
+ if ( !yesno ) report(DEBUG,"EvtGen") <<"No longer include birth factor for " << EvtPDL::name(thisPart).c_str() <<endl;
+ }
+
+ } else if ( token=="IncludeDecayFactor") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ bool yesno=false;
+ if ( parser.getToken(itoken++).c_str()=="yes") yesno=true;
+ EvtId thisPart = EvtPDL::getId(pname);
+ EvtPDL::includeDecayFactor(thisPart,yesno);
+ if ( verbose ) {
+ if ( yesno ) report(DEBUG,"EvtGen") <<"Include decay factor for " << EvtPDL::name(thisPart).c_str() <<endl;
+ if ( !yesno ) report(DEBUG,"EvtGen") <<"No longer include decay factor for " << EvtPDL::name(thisPart).c_str() <<endl;
+ }
+ } else if ( token=="LSNONRELBW") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ EvtId thisPart = EvtPDL::getId(pname);
+ std::string tstr="NONRELBW";
+ EvtPDL::changeLS(thisPart,tstr);
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Change lineshape to non-rel BW for " << EvtPDL::name(thisPart).c_str() <<endl;
+ } else if ( token=="SP8LSFIX") {
+ //this was a bug, but preserve functionality as not to confuse people...
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ EvtId thisPart = EvtPDL::getId(pname);
+ EvtPDL::fixLSForSP8(thisPart);
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Fixed lineshape for SP8 --from D.Lange,J.Smith " << EvtPDL::name(thisPart).c_str() <<endl;
+
+ } else if ( token=="SP6LSFIX") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ EvtId thisPart = EvtPDL::getId(pname);
+ EvtPDL::fixLSForSP8(thisPart);
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Fixed lineshape for SP8 --from D.Lange,J.Smith " << EvtPDL::name(thisPart).c_str() <<endl;
+
+ } else if ( token=="LSFLAT") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ EvtId thisPart = EvtPDL::getId(pname);
+ std::string tstr="FLAT";
+ EvtPDL::changeLS(thisPart,tstr);
+ if (verbose)
+ report(DEBUG,"EvtGen") <<"Change lineshape to flat for " << EvtPDL::name(thisPart).c_str() <<endl;
+ } else if ( token=="LSMANYDELTAFUNC") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ EvtId thisPart = EvtPDL::getId(pname);
+ std::string tstr="MANYDELTAFUNC";
+ EvtPDL::changeLS(thisPart,tstr);
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Change lineshape to spikes for " << EvtPDL::name(thisPart).c_str() <<endl;
+
+ } else if ( token=="BlattWeisskopf") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ double tnum=atof(parser.getToken(itoken++).c_str());
+ EvtId thisPart = EvtPDL::getId(pname);
+ EvtPDL::reSetBlatt(thisPart,tnum);
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Redefined Blatt-Weisskopf factor " << EvtPDL::name(thisPart).c_str() << " to be " << tnum << endl;
+ } else if ( token=="SetLineshapePW") {
+ std::string pname;
+ pname=parser.getToken(itoken++);
+ EvtId thisPart = EvtPDL::getId(pname);
+ std::string pnameD1=parser.getToken(itoken++);
+ EvtId thisD1 = EvtPDL::getId(pnameD1);
+ std::string pnameD2=parser.getToken(itoken++);
+ EvtId thisD2 = EvtPDL::getId(pnameD2);
+ int pw=atoi(parser.getToken(itoken++).c_str());
+ if ( verbose )
+ report(DEBUG,"EvtGen") <<"Redefined Partial wave for " << pname.c_str() << " to " << pnameD1.c_str() << " " << pnameD2.c_str() << " ("<<pw<<")"<<endl;
+ EvtPDL::setPWForDecay(thisPart,pw,thisD1,thisD2);
+ EvtPDL::setPWForBirthL(thisD1,pw,thisPart,thisD2);
+ EvtPDL::setPWForBirthL(thisD2,pw,thisPart,thisD1);
+
+
+ } else if (token=="Decay") {
+
+ std::string temp_fcn_new_model;
+
+ EvtDecayBase* temp_fcn_new;
+
+ double brfrsum=0.0;
+
+
+
+ parent=parser.getToken(itoken++);
+ ipar=EvtPDL::getId(parent);
+
+ if (ipar==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<parent.c_str()
+ <<" on line "
+ <<parser.getLineofToken(itoken-1)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ if (_decaytable[ipar.getAlias()].getNMode()!=0) {
+ report(DEBUG,"EvtGen") <<"Redefined decay of "
+ <<parent.c_str()<<endl;
+ _decaytable[ipar.getAlias()].removeDecay();
+ }
+
+
+ do{
+
+ token=parser.getToken(itoken++);
+
+ if (token!="Enddecay"){
+
+ i=0;
+ while (token.c_str()[i++]!=0){
+ if (isalpha(token.c_str()[i])){
+ report(ERROR,"EvtGen") <<
+ "Expected to find a branching fraction or Enddecay "<<
+ "but found:"<<token.c_str()<<" on line "<<
+ parser.getLineofToken(itoken-1)<<endl;
+ report(ERROR,"EvtGen") << "Possibly to few arguments to model "<<
+ "on previous line!"<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ }
+
+ brfr=atof(token.c_str());
+
+ int isname=EvtPDL::getId(parser.getToken(itoken)).getId()>=0;
+ int ismodel=modelist.isModel(parser.getToken(itoken));
+
+ if (!(isname||ismodel)){
+ //see if this is an aliased model
+ for(size_t iAlias=0;iAlias<modelAliasList.size();iAlias++){
+ if ( modelAliasList[iAlias].matchAlias(parser.getToken(itoken)) ) {
+ ismodel=2;
+ break;
+ }
+ }
+ }
+
+ if (!(isname||ismodel)){
+
+ report(INFO,"EvtGen") << parser.getToken(itoken).c_str()
+ << " is neither a particle name nor "
+ << "the name of a model. "<<endl;
+ report(INFO,"EvtGen") << "It was encountered on line "<<
+ parser.getLineofToken(itoken)<<" of the decay file."<<endl;
+ report(INFO,"EvtGen") << "Please fix it. Thank you."<<endl;
+ report(INFO,"EvtGen") << "Be sure to check that the "
+ << "correct case has been used. \n";
+ report(INFO,"EvtGen") << "Terminating execution. \n";
+ ::abort();
+
+ itoken++;
+ }
+
+ n_daugh=0;
+
+ while(EvtPDL::getId(parser.getToken(itoken)).getId()>=0){
+ sdaug=parser.getToken(itoken++);
+ daught[n_daugh++]=EvtPDL::getId(sdaug);
+ if (daught[n_daugh-1]==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<sdaug.c_str()
+ <<" on line "<<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+ }
+
+
+ model=parser.getToken(itoken++);
+
+
+ int photos=0;
+ int verbose=0;
+ int summary=0;
+
+ do{
+ if (model=="PHOTOS"){
+ photos=1;
+ model=parser.getToken(itoken++);
+ }
+ if (model=="VERBOSE"){
+ verbose=1;
+ model=parser.getToken(itoken++);
+ }
+ if (model=="SUMMARY"){
+ summary=1;
+ model=parser.getToken(itoken++);
+ }
+ }while(model=="PHOTOS"||
+ model=="VERBOSE"||
+ model=="SUMMARY");
+
+ //see if this is an aliased model
+ int foundAnAlias=-1;
+ for(size_t iAlias=0;iAlias<modelAliasList.size();iAlias++){
+ if ( modelAliasList[iAlias].matchAlias(model) ) {
+ foundAnAlias=iAlias;
+ break;
+ }
+ }
+
+ if ( foundAnAlias==-1 ) {
+ if(!modelist.isModel(model)){
+ report(ERROR,"EvtGen") <<
+ "Expected to find a model name,"<<
+ "found:"<<model.c_str()<<" on line "<<
+ parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ }
+ else{
+ model=modelAliasList[foundAnAlias].getName();
+ }
+
+ temp_fcn_new_model=model;
+ temp_fcn_new=modelist.getFcn(model);
+
+
+ if (photos){
+ temp_fcn_new->setPHOTOS();
+ }
+ if (verbose){
+ temp_fcn_new->setVerbose();
+ }
+ if (summary){
+ temp_fcn_new->setSummary();
+ }
+
+
+ std::vector<std::string> temp_fcn_new_args;
+
+ std::string name;
+ int ierr;
+
+ if ( foundAnAlias==-1 ) {
+ do{
+ name=parser.getToken(itoken++);
+ if (name!=";") {
+ temp_fcn_new_args.push_back(EvtSymTable::get(name,ierr));
+ if (ierr) {
+ report(ERROR,"EvtGen")
+ <<"Reading arguments and found:"<<
+ name.c_str()<<" on line:"<<
+ parser.getLineofToken(itoken-1)<<endl;
+ report(ERROR,"EvtGen")
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ }
+ //int isname=EvtPDL::getId(name).getId()>=0;
+ int ismodel=modelist.isModel(name);
+ if (ismodel) {
+ report(ERROR,"EvtGen")
+ <<"Expected ';' but found:"<<
+ name.c_str()<<" on line:"<<
+ parser.getLineofToken(itoken-1)<<endl;
+ report(ERROR,"EvtGen")
+ << "Most probable error is omitted ';'."<<endl;
+ report(ERROR,"EvtGen")
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ }while(name!=";");
+ }
+ else{
+ std::vector<std::string> copyMe=modelAliasList[foundAnAlias].getArgList();
+ temp_fcn_new_args=copyMe;
+ itoken++;
+ }
+ //Found one decay.
+
+ brfrsum+=brfr;
+
+ temp_fcn_new->saveDecayInfo(ipar,n_daugh,
+ daught,
+ temp_fcn_new_args.size(),
+ temp_fcn_new_args,
+ temp_fcn_new_model,
+ brfr);
+
+ double massmin=0.0;
+
+ // for (i=0;i<n_daugh;i++){
+ for (i=0;i<temp_fcn_new->nRealDaughters();i++){
+ if ( EvtPDL::getMinMass(daught[i])>0.0001 ){
+ massmin+=EvtPDL::getMinMass(daught[i]);
+ } else {
+ massmin+=EvtPDL::getMeanMass(daught[i]);
+ }
+ }
+
+ _decaytable[ipar.getAlias()].addMode(temp_fcn_new,brfrsum,massmin);
+
+
+ }
+ } while(token!="Enddecay");
+
+ _decaytable[ipar.getAlias()].finalize();
+
+ }
+ // Allow copying of decays from one particle to another; useful
+ // in combination with RemoveDecay
+ else if (token=="CopyDecay") {
+ std::string newname;
+ std::string oldname;
+
+ newname=parser.getToken(itoken++);
+ oldname=parser.getToken(itoken++);
+
+ EvtId newipar=EvtPDL::getId(newname);
+ EvtId oldipar=EvtPDL::getId(oldname);
+
+ if (oldipar==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<oldname.c_str()
+ <<" on line "<<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+ if (newipar==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<newname.c_str()
+ <<" on line "<<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+ if (_decaytable[newipar.getAlias()].getNMode()!=0) {
+ report(DEBUG,"EvtGen") <<"Redefining decay of "
+ <<newname<<endl;
+ _decaytable[newipar.getAlias()].removeDecay();
+ }
+ _decaytable[newipar.getAlias()] = _decaytable[oldipar.getAlias()];
+ }
+ // Enable decay deletion; intended primarily for aliases
+ // Peter Onyisi, March 2008
+ else if (token=="RemoveDecay") {
+ parent = parser.getToken(itoken++);
+ ipar = EvtPDL::getId(parent);
+
+ if (ipar==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<parent.c_str()
+ <<" on line "
+ <<parser.getLineofToken(itoken-1)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ if (_decaytable[ipar.getAlias()].getNMode()==0) {
+ report(DEBUG,"EvtGen") << "No decays to delete for "
+ << parent.c_str() << endl;
+ } else {
+ report(DEBUG,"EvtGen") <<"Deleting selected decays of "
+ <<parent.c_str()<<endl;
+ }
+
+ do {
+ token = parser.getToken(itoken);
+
+ if (token != "Enddecay") {
+ n_daugh = 0;
+ while (EvtPDL::getId(parser.getToken(itoken)).getId() >= 0) {
+ sdaug = parser.getToken(itoken++);
+ daught[n_daugh++] = EvtPDL::getId(sdaug);
+ if (daught[n_daugh-1]==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") <<"Unknown particle name:"<<sdaug.c_str()
+ <<" on line "<<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") <<"Will terminate execution!"<<endl;
+ ::abort();
+ }
+ }
+ token = parser.getToken(itoken);
+ if (token != ";") {
+ report(ERROR,"EvtGen")
+ <<"Expected ';' but found:"<<
+ token <<" on line:"<<
+ parser.getLineofToken(itoken-1)<<endl;
+ report(ERROR,"EvtGen")
+ << "Most probable error is omitted ';'."<<endl;
+ report(ERROR,"EvtGen")
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ token = parser.getToken(itoken++);
+ EvtDecayBase* temp_fcn_new = modelist.getFcn("PHSP");
+ std::vector<std::string> temp_fcn_new_args;
+ std::string temp_fcn_new_model("PHSP");
+ temp_fcn_new->saveDecayInfo(ipar, n_daugh,
+ daught,
+ 0,
+ temp_fcn_new_args,
+ temp_fcn_new_model,
+ 0.);
+ _decaytable[ipar.getAlias()].removeMode(temp_fcn_new);
+ }
+ } while (token != "Enddecay");
+ itoken++;
+ }
+ else if (token!="End"){
+
+ report(ERROR,"EvtGen") << "Found unknown command:'"<<token.c_str()<<"' on line "
+ <<parser.getLineofToken(itoken)<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+ } while ((token!="End")&&itoken!=parser.getNToken());
+
+ //Now we may need to reset the minimum mass for some particles????
+
+ for (size_t ii=0; ii<EvtPDL::entries(); ii++){
+ EvtId temp(ii,ii);
+ int nModTot=getNMode(ii);
+ //no decay modes
+ if ( nModTot == 0 ) continue;
+ //0 width?
+ if ( EvtPDL::getWidth(temp) < 0.0000001 ) continue;
+ int jj;
+ double minMass=EvtPDL::getMaxMass(temp);
+ for (jj=0; jj<nModTot; jj++) {
+ double tmass=_decaytable[ii].getDecay(jj).getMassMin();
+ if ( tmass< minMass) minMass=tmass;
+ }
+ if ( minMass > EvtPDL::getMinMass(temp) ) {
+ if ( verbose )
+ report(INFO,"EvtGen") << "Given allowed decays, resetting minMass " << EvtPDL::name(temp).c_str() << " "
+ << EvtPDL::getMinMass(temp) << " to " << minMass << endl;
+ EvtPDL::reSetMassMin(temp,minMass);
+ }
+ }
+}
+
+int EvtDecayTable::findChannel(EvtId parent, std::string model,
+ int ndaug, EvtId *daugs,
+ int narg, std::string *args){
+
+ int i,j,right;
+ EvtId daugs_scratch[50];
+ int nmatch,k;
+
+ for(i=0;i<_decaytable[parent.getAlias()].getNMode();i++){
+
+ right=1;
+
+ right=right&&model==_decaytable[parent.getAlias()].
+ getDecay(i).getDecayModel()->getModelName();
+ right=right&&(ndaug==_decaytable[parent.getAlias()].
+ getDecay(i).getDecayModel()->getNDaug());
+ right=right&&(narg==_decaytable[parent.getAlias()].
+ getDecay(i).getDecayModel()->getNArg());
+
+ if ( right ){
+
+
+
+ for(j=0;j<ndaug;j++){
+ daugs_scratch[j]=daugs[j];
+ }
+
+ nmatch=0;
+
+ for(j=0;j<_decaytable[parent.getAlias()].
+ getDecay(i).getDecayModel()->getNDaug();j++){
+
+ for(k=0;k<ndaug;k++){
+ if (daugs_scratch[k]==_decaytable[parent.getAlias()].
+ getDecay(i).getDecayModel()->getDaug(j)){
+ daugs_scratch[k]=EvtId(-1,-1);
+ nmatch++;
+ break;
+ }
+ }
+ }
+
+ right=right&&(nmatch==ndaug);
+
+ for(j=0;j<_decaytable[parent.getAlias()].
+ getDecay(i).getDecayModel()->getNArg();j++){
+ right=right&&(args[j]==_decaytable[parent.getAlias()].
+ getDecay(i).getDecayModel()->getArgStr(j));
+ }
+ }
+ if (right) return i;
+ }
+ return -1;
+}
+
+int EvtDecayTable::inChannelList(EvtId parent, int ndaug, EvtId *daugs){
+
+ int i,j,k;
+ EvtId daugs_scratch[MAX_DAUG];
+
+ int dsum=0;
+ for(i=0;i<ndaug;i++){
+ dsum+=daugs[i].getAlias();
+ }
+
+ int nmatch;
+
+ int ipar=parent.getAlias();
+
+ int nmode=_decaytable[ipar].getNMode();
+
+ for(i=0;i<nmode;i++){
+
+ EvtDecayBase* thedecaymodel=_decaytable[ipar].getDecay(i).getDecayModel();
+
+ if (thedecaymodel->getDSum()==dsum){
+
+ int nd=thedecaymodel->getNDaug();
+
+ if (ndaug==nd){
+ for(j=0;j<ndaug;j++){
+ daugs_scratch[j]=daugs[j];
+ }
+ nmatch=0;
+ for(j=0;j<nd;j++){
+ for(k=0;k<ndaug;k++){
+ if (EvtId(daugs_scratch[k])==thedecaymodel->getDaug(j)){
+ daugs_scratch[k]=EvtId(-1,-1);
+ nmatch++;
+ break;
+ }
+ }
+ }
+ if ((nmatch==ndaug)&&
+ (!
+ ((thedecaymodel->getModelName()=="JETSET")||
+ (thedecaymodel->getModelName()=="PYTHIA")))){
+ return i;
+ }
+ }
+ }
+ }
+
+ return -1;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDecayTable.hh
+//
+// Description: Class to read in and handle the decays available
+// to EvtGen for each particle, and the model to be
+// used for each one.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDECAYTABLE_HH
+#define EVTDECAYTABLE_HH
+
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtParticleDecayList.hh"
+#include <vector>
+
+class EvtId;
+
+
+typedef EvtDecayBase* EvtDecayBasePtr;
+
+class EvtDecayTable{
+
+public:
+
+ static int getNMode(int ipar);
+
+ static EvtDecayBase* getDecay(int ipar, int imode);
+
+ static void readDecayFile(const std::string dec_name, bool verbose=true);
+
+ static int findChannel(EvtId parent,std::string model,int ndaug,
+ EvtId *daugs,
+ int narg, std::string *args);
+
+ static int inChannelList(EvtId parent, int ndaug, EvtId *daugs);
+
+ static EvtDecayBase *getDecayFunc(EvtParticle *p);
+
+ static void printSummary();
+
+ static void checkConj();
+
+ static const std::vector<EvtParticleDecayList> & decaytable() {return _decaytable;};
+
+private:
+
+ static std::vector<EvtParticleDecayList> _decaytable;
+
+};
+
+#endif
+
+
--- /dev/null
+// $Id: EvtDiLog.cc,v 1.1 2009/02/18 21:21:33 ryd Exp $
+// Include files
+
+// local
+#include "EvtGenBase/EvtDiLog.hh"
+
+#include <cmath>
+
+//-----------------------------------------------------------------------------
+// Implementation file for class : EvtDiLog
+//
+// 2007-01-23 : Patrick Robbe
+//-----------------------------------------------------------------------------
+
+double EvtDiLog::DiLog( double x ) {
+
+ double h , t , y , s , a , alfa , b0, b1, b2 ;
+ if ( x == 1. ) h = PI6 ;
+ else if ( x == -1. ) h = -PI12 ;
+ else {
+ t = -x ;
+ if ( t <= -2. ) {
+ y = -1./(1.+t) ;
+ s = 1. ;
+ a = -PI3 + HF * ( std::pow( log(-t) , 2 ) -
+ std::pow( log( 1. + 1./t ) , 2 ) ) ;
+ } else if ( t < -1. ) {
+ y = -1. - t ;
+ s = -1. ;
+ a = log( -t ) ;
+ a = -PI6 + a * ( a + log( 1. + 1./t ) ) ;
+ } else if ( t <= -HF ) {
+ y = - (1. + t ) / t ;
+ s = 1. ;
+ a = log( -t ) ;
+ a = -PI6 + a * ( -HF * a + log( 1. + t ) ) ;
+ } else if ( t < 0 ) {
+ y = -t / ( 1. + t ) ;
+ s = -1. ;
+ a = HF * std::pow( log( 1. + t ) , 2 ) ;
+ } else if ( t <= 1. ) {
+ y = t ;
+ s = 1. ;
+ a = 0. ;
+ } else {
+ y = 1. / t ;
+ s = -1. ;
+ a = PI6 + HF * std::pow( log( t ) , 2 ) ;
+ }
+
+ h = y + y - 1. ;
+ alfa = h + h ;
+ b1 = 0. ;
+ b2 = 0. ;
+ for ( int i = 19 ; i >= 0 ; --i ) {
+ b0 = C[ i ] + alfa * b1 - b2 ;
+ b2 = b1 ;
+ b1 = b0 ;
+ }
+
+ h = -(s * ( b0 -h * b2 ) + a ) ;
+ }
+
+ return h ;
+}
--- /dev/null
+// $Id: EvtDiLog.hh,v 1.1 2009/02/18 21:21:33 ryd Exp $
+#ifndef EVTGENBASE_EVTDILOG_HH
+#define EVTGENBASE_EVTDILOG_HH 1
+
+// Include files
+
+/** @namespace EvtDiLog EvtDiLog.hh EvtGenBase/EvtDiLog.hh
+ * Dilogarithm function (replaces CERNLIB DDILOG)
+ *
+ * @author Patrick Robbe
+ * @date 2007-01-23
+ */
+namespace EvtDiLog {
+ double DiLog( double x ) ;
+
+ // constants for computation
+ static const double Z1 = 1. ;
+ static const double HF = Z1 / 2. ;
+ static const double PI = 3.14159265358979324 ;
+ static const double PI3 = PI * PI / 3. ;
+ static const double PI6 = PI * PI / 6. ;
+ static const double PI12 = PI * PI / 12. ;
+ static const double C[ 20 ] = {
+ 0.42996693560813697 ,
+ 0.40975987533077105 ,
+ -0.01858843665014592 ,
+ 0.00145751084062268 ,
+ -0.00014304184442340 ,
+ 0.00001588415541880 ,
+ -0.00000190784959387 ,
+ 0.00000024195180854 ,
+ -0.00000003193341274 ,
+ 0.00000000434545063 ,
+ -0.00000000060578480 ,
+ 0.00000000008612098 ,
+ -0.00000000001244332 ,
+ 0.00000000000182256 ,
+ -0.00000000000027007 ,
+ 0.00000000000004042 ,
+ -0.00000000000000610 ,
+ 0.00000000000000093 ,
+ -0.00000000000000014 ,
+ 0.00000000000000002 } ;
+}
+#endif // EVTGENBASE_EVTDILOG_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDiracParticle.cc
+//
+// Description: Class to describe spin 1/2 particles.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtDiracParticle.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtSpinDensity.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+using std::endl;
+
+EvtDiracParticle::~EvtDiracParticle(){}
+
+
+EvtDiracParticle::EvtDiracParticle(){
+
+ return;
+
+}
+
+void EvtDiracParticle::init(EvtId part_n,const EvtVector4R& p4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(part_n);
+
+ if (EvtPDL::getStdHep(part_n)==0){
+ report(ERROR,"EvtGen") << "Error in EvtDiracParticle::init, part_n="
+ << part_n.getId()<<endl;
+ ::abort();
+ }
+
+ if (EvtPDL::getStdHep(part_n)>0){
+
+ _spinorRest[0].set(EvtComplex(sqrt(2.0*mass()),0.0),EvtComplex(0.0,0.0),
+ EvtComplex(0.0,0.0),EvtComplex(0.0,0.0));
+ _spinorRest[1].set(EvtComplex(0.0,0.0),EvtComplex(sqrt(2.0*mass()),0.0),
+ EvtComplex(0.0,0.0),EvtComplex(0.0,0.0));
+
+ _spinorParent[0]=boostTo(_spinorRest[0],p4);
+ _spinorParent[1]=boostTo(_spinorRest[1],p4);
+
+
+ }
+ else{
+
+ _spinorRest[0].set(EvtComplex(0.0,0.0),EvtComplex(0.0,0.0),
+ EvtComplex(sqrt(2.0*mass()),0.0),EvtComplex(0.0,0.0));
+ _spinorRest[1].set(EvtComplex(0.0,0.0),EvtComplex(0.0,0.0),
+ EvtComplex(0.0,0.0),EvtComplex(sqrt(2.0*mass()),0.0));
+
+ _spinorParent[0]=boostTo(_spinorRest[0],p4);
+ _spinorParent[1]=boostTo(_spinorRest[1],p4);
+
+
+
+ }
+
+ setLifetime();
+}
+
+
+void EvtDiracParticle::init(EvtId part_n,const EvtVector4R& p4,
+ const EvtDiracSpinor & prod1,
+ const EvtDiracSpinor & prod2,
+ const EvtDiracSpinor & rest1,
+ const EvtDiracSpinor & rest2){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(part_n);
+
+ if (EvtPDL::getStdHep(part_n)==0){
+ report(ERROR,"EvtGen") << "Error in EvtDiracParticle::init, part_n="
+ << part_n.getId()<<std::endl;
+ ::abort();
+ }
+ _spinorRest[0]=rest1;
+ _spinorRest[1]=rest2;
+ _spinorParent[0]=prod1;
+ _spinorParent[1]=prod2;
+
+ setLifetime();
+}
+
+
+
+EvtSpinDensity EvtDiracParticle::rotateToHelicityBasis() const{
+
+ EvtDiracSpinor spplus;
+ EvtDiracSpinor spminus;
+
+ double sqmt2=sqrt(2.*(getP4().mass()));
+
+ if (EvtPDL::getStdHep(getId())>0){
+ spplus.set(1.0,0.0,0.0,0.0);
+ spminus.set(0.0,1.0,0.0,0.0);
+ } else {
+ spplus.set(0.0,0.0,0.0,1.0);
+ spminus.set(0.0,0.0,1.0,0.0);
+ }
+
+
+ EvtSpinDensity R;
+ R.setDim(2);
+
+ for (int i=0; i<2; i++) {
+ if (EvtPDL::getStdHep(getId())>0){
+ R.set(0,i,(EvtComplex)(spplus*_spinorRest[i])/sqmt2);
+ R.set(1,i,(EvtComplex)(spminus*_spinorRest[i])/sqmt2);
+ } else {
+ R.set(0,i,(EvtComplex)(_spinorRest[i]*spplus)/sqmt2);
+ R.set(1,i,(EvtComplex)(_spinorRest[i]*spminus)/sqmt2);
+ }
+ }
+
+ return R;
+
+}
+
+
+EvtSpinDensity EvtDiracParticle::rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const{
+
+
+ EvtDiracSpinor spplus;
+ EvtDiracSpinor spminus;
+
+ double sqmt2=sqrt(2.*(getP4().mass()));
+
+ if (EvtPDL::getStdHep(getId())>0){
+ spplus.set(1.0,0.0,0.0,0.0);
+ spminus.set(0.0,1.0,0.0,0.0);
+ } else {
+ spplus.set(0.0,0.0,0.0,1.0);
+ spminus.set(0.0,0.0,1.0,0.0);
+ }
+
+ spplus.applyRotateEuler(alpha,beta,gamma);
+ spminus.applyRotateEuler(alpha,beta,gamma);
+
+ EvtSpinDensity R;
+ R.setDim(2);
+
+ for (int i=0; i<2; i++) {
+ if (EvtPDL::getStdHep(getId())>0){
+ R.set(0,i,(EvtComplex)(spplus*_spinorRest[i])/sqmt2);
+ R.set(1,i,(EvtComplex)(spminus*_spinorRest[i])/sqmt2);
+ } else {
+ R.set(0,i,(EvtComplex)(_spinorRest[i]*spplus)/sqmt2);
+ R.set(1,i,(EvtComplex)(_spinorRest[i]*spminus)/sqmt2);
+ }
+ }
+
+ return R;
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDiracParticle.hh
+//
+// Description:EvtDiracParticle particles i.e. spin 1/2 particles.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDIRACPARTICLE_HH
+#define EVTDIRACPARTICLE_HH
+
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtId;
+class EvtVector4R;
+
+class EvtDiracParticle:public EvtParticle {
+
+public:
+
+
+ EvtDiracParticle();
+ virtual ~EvtDiracParticle();
+ void init(EvtId part_n,const EvtVector4R& p4);
+ void init(EvtId part_n,const EvtVector4R& p4,
+ const EvtDiracSpinor &,const EvtDiracSpinor &,
+ const EvtDiracSpinor &,const EvtDiracSpinor &);
+ EvtDiracSpinor spParent(int i) const {return _spinorParent[i];}
+ EvtDiracSpinor sp(int i) const {return _spinorRest[i];}
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+private:
+
+ EvtDiracSpinor _spinorRest[2];
+ EvtDiracSpinor _spinorParent[2];
+ EvtDiracParticle(const EvtDiracParticle& d);
+ EvtDiracParticle& operator=(const EvtDiracParticle& d);
+
+};
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDiracSpinor.cc
+//
+// Description: Class to describe (EvtDiracParticle) spinors.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+using std::ostream;
+
+
+EvtDiracSpinor::~EvtDiracSpinor(){}
+
+EvtDiracSpinor::EvtDiracSpinor(const EvtComplex& sp0,const EvtComplex& sp1,
+ const EvtComplex& sp2,const EvtComplex& sp3){
+ set(sp0,sp1,sp2,sp3);
+}
+
+void EvtDiracSpinor::set(const EvtComplex& sp0,const EvtComplex& sp1,
+ const EvtComplex& sp2,const EvtComplex& sp3){
+
+ spinor[0]=sp0;spinor[1]=sp1;spinor[2]=sp2;spinor[3]=sp3;
+}
+
+void EvtDiracSpinor::set_spinor(int i,const EvtComplex& sp){
+
+ spinor[i]=sp;
+}
+
+ostream& operator<<(ostream& s, const EvtDiracSpinor& sp){
+
+ s <<"["<<sp.spinor[0]<<","<<sp.spinor[1]<<","
+ <<sp.spinor[2]<<","<<sp.spinor[3]<<"]";
+ return s;
+
+}
+
+
+const EvtComplex& EvtDiracSpinor::get_spinor(int i) const {
+
+ return spinor[i];
+
+}
+
+EvtDiracSpinor rotateEuler(const EvtDiracSpinor& sp,
+ double alpha,double beta,double gamma){
+
+ EvtDiracSpinor tmp(sp);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+EvtDiracSpinor boostTo(const EvtDiracSpinor& sp,
+ const EvtVector4R p4){
+
+ EvtDiracSpinor tmp(sp);
+ tmp.applyBoostTo(p4);
+ return tmp;
+
+}
+
+EvtDiracSpinor boostTo(const EvtDiracSpinor& sp,
+ const EvtVector3R boost){
+
+ EvtDiracSpinor tmp(sp);
+ tmp.applyBoostTo(boost);
+ return tmp;
+
+}
+
+void EvtDiracSpinor::applyBoostTo(const EvtVector4R& p4){
+
+ double e=p4.get(0);
+
+ EvtVector3R boost(p4.get(1)/e,p4.get(2)/e,p4.get(3)/e);
+
+ applyBoostTo(boost);
+
+ return;
+
+}
+
+
+
+void EvtDiracSpinor::applyBoostTo(const EvtVector3R& boost) {
+
+ double bx,by,bz,gamma,b2,f1,f2;
+ EvtComplex spinorp[4];
+
+ bx=boost.get(0);
+ by=boost.get(1);
+ bz=boost.get(2);
+ b2=bx*bx+by*by+bz*bz;
+
+ if (b2==0.0){
+ return;
+ }
+
+ assert(b2<1.0);
+
+ gamma=1.0/sqrt(1-b2);
+
+ f1=sqrt((gamma+1.0)/2.0);
+ f2=f1*gamma/(gamma+1.0);
+
+ spinorp[0]=f1*spinor[0]+f2*bz*spinor[2]+
+ f2*EvtComplex(bx,-by)*spinor[3];
+ spinorp[1]=f1*spinor[1]+f2*EvtComplex(bx,by)*spinor[2]-
+ f2*bz*spinor[3];
+ spinorp[2]=f2*bz*spinor[0]+f2*EvtComplex(bx,-by)*spinor[1]+
+ f1*spinor[2];
+ spinorp[3]=f2*EvtComplex(bx,by)*spinor[0]-
+ f2*bz*spinor[1]+f1*spinor[3];
+
+ spinor[0]=spinorp[0];
+ spinor[1]=spinorp[1];
+ spinor[2]=spinorp[2];
+ spinor[3]=spinorp[3];
+
+ return;
+}
+
+void EvtDiracSpinor::applyRotateEuler(double alpha,double beta,
+ double gamma) {
+
+ EvtComplex retVal[4];
+
+ double cb2=cos(0.5*beta);
+ double sb2=sin(0.5*beta);
+ double capg2=cos(0.5*(alpha+gamma));
+ double camg2=cos(0.5*(alpha-gamma));
+ double sapg2=sin(0.5*(alpha+gamma));
+ double samg2=sin(0.5*(alpha-gamma));
+
+ EvtComplex m11(cb2*capg2,-cb2*sapg2);
+ EvtComplex m12(-sb2*camg2,sb2*samg2);
+ EvtComplex m21(sb2*camg2,sb2*samg2);
+ EvtComplex m22(cb2*capg2,cb2*sapg2);
+
+ retVal[0]=m11*spinor[0]+m12*spinor[1];
+ retVal[1]=m21*spinor[0]+m22*spinor[1];
+ retVal[2]=m11*spinor[2]+m12*spinor[3];
+ retVal[3]=m21*spinor[2]+m22*spinor[3];
+
+ spinor[0]=retVal[0];
+ spinor[1]=retVal[1];
+ spinor[2]=retVal[2];
+ spinor[3]=retVal[3];
+
+ return;
+}
+
+
+
+EvtDiracSpinor EvtDiracSpinor::conj() const {
+
+ EvtDiracSpinor sp;
+
+ for ( int i=0; i<4; i++)
+ sp.set_spinor(i,::conj(spinor[i]));
+
+ return sp;
+}
+
+EvtVector4C EvtLeptonVACurrent(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ //Old code; below is a new specialized code that does it more efficiently.
+ //EvtGammaMatrix mat;
+ //EvtVector4C temp;
+ //mat.va0();
+ //temp.set(0,d*(mat*dp));
+ //mat.va1();
+ //temp.set(1,d*(mat*dp));
+ //mat.va2();
+ //temp.set(2,d*(mat*dp));
+ //mat.va3();
+ //temp.set(3,d*(mat*dp));
+ //return temp;
+
+
+ EvtComplex u02=::conj(d.spinor[0]-d.spinor[2]);
+ EvtComplex u13=::conj(d.spinor[1]-d.spinor[3]);
+
+ EvtComplex v02=dp.spinor[0]-dp.spinor[2];
+ EvtComplex v13=dp.spinor[1]-dp.spinor[3];
+
+ EvtComplex a=u02*v02;
+ EvtComplex b=u13*v13;
+
+ EvtComplex c=u02*v13;
+ EvtComplex e=u13*v02;
+
+ return EvtVector4C(a+b,-(c+e),EvtComplex(0,1)*(c-e),b-a);
+
+
+}
+
+EvtVector4C EvtLeptonVCurrent(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ EvtVector4C temp;
+
+ // no conjugate here; done in the multiplication
+ // yes this is stupid and fooled me to for a long time (ryd)
+
+ temp.set(0,d*(EvtGammaMatrix::v0()*dp));
+ temp.set(1,d*(EvtGammaMatrix::v1()*dp));
+ temp.set(2,d*(EvtGammaMatrix::v2()*dp));
+ temp.set(3,d*(EvtGammaMatrix::v3()*dp));
+
+ return temp;
+}
+
+
+EvtVector4C EvtLeptonACurrent(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ EvtVector4C temp;
+
+ EvtGammaMatrix mat;
+
+ // no conjugate here; done in the multiplication
+ // yes this is stupid and fooled me to for a long time (ryd)
+
+ mat = EvtGammaMatrix::v0()-EvtGammaMatrix::va0();
+ temp.set(0,d*(mat*dp));
+
+ mat = EvtGammaMatrix::v1()-EvtGammaMatrix::va1();
+ temp.set(1,d*(mat*dp));
+
+ mat = EvtGammaMatrix::v2()-EvtGammaMatrix::va2();
+ temp.set(2,d*(mat*dp));
+
+ mat = EvtGammaMatrix::v3()-EvtGammaMatrix::va3();
+ temp.set(3,d*(mat*dp));
+
+ return temp;
+}
+
+EvtComplex EvtLeptonSCurrent(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ EvtComplex temp;
+
+ // no conjugate here; done in the multiplication
+ // yes this is stupid and fooled me to for a long time (ryd)
+
+ temp=d*(EvtGammaMatrix::g0()*dp);
+
+ return temp;
+}
+
+EvtComplex EvtLeptonPCurrent(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ EvtComplex temp;
+
+ // no conjugate here; done in the multiplication
+ // yes this is stupid and fooled me to for a long time (ryd)
+ static EvtGammaMatrix m=EvtGammaMatrix::g0()*EvtGammaMatrix::g5();
+ temp=d*(m*dp);
+
+ return temp;
+}
+
+EvtTensor4C EvtLeptonTCurrent(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ EvtTensor4C temp;
+ temp.zero();
+ EvtComplex i2(0,0.5);
+
+ static EvtGammaMatrix mat01=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g0()*EvtGammaMatrix::g1()-
+ EvtGammaMatrix::g1()*EvtGammaMatrix::g0());
+ static EvtGammaMatrix mat02=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g0()*EvtGammaMatrix::g2()-
+ EvtGammaMatrix::g2()*EvtGammaMatrix::g0());
+ static EvtGammaMatrix mat03=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g0()*EvtGammaMatrix::g3()-
+ EvtGammaMatrix::g3()*EvtGammaMatrix::g0());
+ static EvtGammaMatrix mat12=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g1()*EvtGammaMatrix::g2()-
+ EvtGammaMatrix::g2()*EvtGammaMatrix::g1());
+ static EvtGammaMatrix mat13=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g1()*EvtGammaMatrix::g3()-
+ EvtGammaMatrix::g3()*EvtGammaMatrix::g1());
+ static EvtGammaMatrix mat23=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g2()*EvtGammaMatrix::g3()-
+ EvtGammaMatrix::g3()*EvtGammaMatrix::g2());
+
+
+ temp.set(0,1,i2*(d*(mat01*dp)));
+ temp.set(1,0,-temp.get(0,1));
+
+ temp.set(0,2,i2*(d*(mat02*dp)));
+ temp.set(2,0,-temp.get(0,2));
+
+ temp.set(0,3,i2*(d*(mat03*dp)));
+ temp.set(3,0,-temp.get(0,3));
+
+ temp.set(1,2,i2*(d*(mat12*dp)));
+ temp.set(2,1,-temp.get(1,2));
+
+ temp.set(1,3,i2*(d*(mat13*dp)));
+ temp.set(3,1,-temp.get(1,3));
+
+ temp.set(2,3,i2*(d*(mat23*dp)));
+ temp.set(3,2,-temp.get(2,3));
+
+ return temp;
+}
+
+
+EvtDiracSpinor operator*(const EvtComplex& c, const EvtDiracSpinor& d) {
+ EvtDiracSpinor result;
+ result.spinor[0] = c*d.spinor[0];
+ result.spinor[1] = c*d.spinor[1];
+ result.spinor[2] = c*d.spinor[2];
+ result.spinor[3] = c*d.spinor[3];
+ return result;
+ }
+
+
+EvtComplex operator*(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ int i;
+ EvtComplex temp;
+
+ temp=EvtComplex(0.0,0.0);
+
+ for(i=0;i<4;i++){
+ temp+=::conj(d.get_spinor(i))*dp.get_spinor(i);
+ }
+ return temp;
+}
+
+
+EvtDiracSpinor EvtDiracSpinor::adjoint() const
+{
+ EvtDiracSpinor d = this->conj(); // first conjugate, then multiply with gamma0
+ EvtGammaMatrix g0 = EvtGammaMatrix::g0();
+ EvtDiracSpinor result; // automatically initialized to 0
+
+ for (int i=0; i<4; ++i)
+ for (int j=0; j<4; ++j)
+ result.spinor[i] += d.spinor[j] * g0._gamma[i][j];
+
+ return result;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDiracSpinor.hh
+//
+// Description:Class to manipulate dirac spinors
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDIRACSPINOR_HH
+#define EVTDIRACSPINOR_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtVector3R.hh"
+
+class EvtTensor4C;
+class EvtVector4C;
+class EvtDiracSpinor ;
+
+
+class EvtDiracSpinor {
+
+ friend EvtDiracSpinor rotateEuler(const EvtDiracSpinor& sp,
+ double alpha,double beta,double gamma);
+ friend EvtDiracSpinor boostTo(const EvtDiracSpinor& sp,
+ const EvtVector4R p4);
+ friend EvtDiracSpinor boostTo(const EvtDiracSpinor& sp,
+ const EvtVector3R boost);
+ friend EvtVector4C EvtLeptonVACurrent
+ (const EvtDiracSpinor& d,const EvtDiracSpinor& dp);
+ friend EvtVector4C EvtLeptonVCurrent
+ (const EvtDiracSpinor& d,const EvtDiracSpinor& dp);
+ friend EvtVector4C EvtLeptonACurrent
+ (const EvtDiracSpinor& d,const EvtDiracSpinor& dp);
+ friend EvtComplex EvtLeptonSCurrent
+ (const EvtDiracSpinor& d,const EvtDiracSpinor& dp);
+ friend EvtComplex EvtLeptonPCurrent
+ (const EvtDiracSpinor& d,const EvtDiracSpinor& dp);
+ friend EvtTensor4C EvtLeptonTCurrent
+ (const EvtDiracSpinor& d,const EvtDiracSpinor& dp);
+ friend EvtDiracSpinor operator+(const EvtDiracSpinor& u1,
+ const EvtDiracSpinor& u2);
+ friend EvtDiracSpinor operator-(const EvtDiracSpinor& u1,
+ const EvtDiracSpinor& u2);
+ friend EvtDiracSpinor operator*(const EvtComplex& c,
+ const EvtDiracSpinor& d);
+ friend EvtComplex operator*(const EvtDiracSpinor& d, const EvtDiracSpinor& dp);
+
+
+ friend std::ostream& operator<<(std::ostream& s, const EvtDiracSpinor& c);
+
+public:
+
+ inline EvtDiracSpinor();
+ EvtDiracSpinor(const EvtComplex& sp0,const EvtComplex& sp1,
+ const EvtComplex& sp2,const EvtComplex& sp3);
+ virtual ~EvtDiracSpinor();
+ inline EvtDiracSpinor(const EvtDiracSpinor& dspinor);
+ inline EvtDiracSpinor& operator=(const EvtDiracSpinor& dspinor);
+
+ inline EvtDiracSpinor& operator+=(const EvtDiracSpinor& u2);
+ inline EvtDiracSpinor& operator-=(const EvtDiracSpinor& u2);
+
+ void set(const EvtComplex& sp0,const EvtComplex& sp1,
+ const EvtComplex& sp2,const EvtComplex& sp3);
+ void set_spinor(int i,const EvtComplex& sp);
+ const EvtComplex& get_spinor(int i) const;
+ EvtDiracSpinor conj() const;
+ void applyRotateEuler(double alpha,double beta,double gamma);
+ void applyBoostTo(const EvtVector4R& p4);
+ void applyBoostTo(const EvtVector3R& boost);
+ EvtDiracSpinor adjoint() const;
+
+private:
+
+ EvtComplex spinor[4];
+
+};
+
+EvtDiracSpinor::EvtDiracSpinor(){
+
+ spinor[0]=EvtComplex(); spinor[1]=EvtComplex();
+ spinor[2]=EvtComplex(); spinor[3]=EvtComplex();
+
+}
+
+EvtDiracSpinor::EvtDiracSpinor(const EvtDiracSpinor& dspinor){
+
+ spinor[0]=dspinor.spinor[0];
+ spinor[1]=dspinor.spinor[1];
+ spinor[2]=dspinor.spinor[2];
+ spinor[3]=dspinor.spinor[3];
+
+}
+
+EvtDiracSpinor& EvtDiracSpinor::operator=(const EvtDiracSpinor& dspinor){
+
+ spinor[0]=dspinor.spinor[0];
+ spinor[1]=dspinor.spinor[1];
+ spinor[2]=dspinor.spinor[2];
+ spinor[3]=dspinor.spinor[3];
+
+ return *this;
+
+}
+
+inline EvtDiracSpinor& EvtDiracSpinor::operator+=(const EvtDiracSpinor& u2){
+
+ spinor[0]+=u2.spinor[0];
+ spinor[1]+=u2.spinor[1];
+ spinor[2]+=u2.spinor[2];
+ spinor[3]+=u2.spinor[3];
+
+ return *this;
+}
+
+inline EvtDiracSpinor operator+(const EvtDiracSpinor& u1,
+ const EvtDiracSpinor& u2){
+
+ return EvtDiracSpinor(u1)+=u2;
+
+}
+
+inline EvtDiracSpinor& EvtDiracSpinor::operator-=(const EvtDiracSpinor& u2){
+
+ spinor[0]-=u2.spinor[0];
+ spinor[1]-=u2.spinor[1];
+ spinor[2]-=u2.spinor[2];
+ spinor[3]-=u2.spinor[3];
+
+ return *this;
+}
+
+inline EvtDiracSpinor operator-(const EvtDiracSpinor& u1,
+ const EvtDiracSpinor& u2){
+
+ return EvtDiracSpinor(u1)-=u2;
+
+}
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtHelAmp.cc
+//
+// Description: Decay model for implementation of generic 2 body
+// decay specified by the partial wave amplitudes
+//
+//
+// Modification history:
+//
+// fkw February 2, 2001 changes to satisfy KCC
+// RYD September 7, 2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtEvalHelAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtAmp.hh"
+using std::endl;
+
+
+EvtEvalHelAmp::~EvtEvalHelAmp() {
+
+ //deallocate memory
+ delete [] _lambdaA2;
+ delete [] _lambdaB2;
+ delete [] _lambdaC2;
+
+ int ia,ib,ic;
+ for(ib=0;ib<_nB;ib++){
+ delete [] _HBC[ib];
+ }
+
+ delete [] _HBC;
+
+
+ for(ia=0;ia<_nA;ia++){
+ delete [] _RA[ia];
+ }
+ delete [] _RA;
+
+ for(ib=0;ib<_nB;ib++){
+ delete [] _RB[ib];
+ }
+ delete [] _RB;
+
+ for(ic=0;ic<_nC;ic++){
+ delete [] _RC[ic];
+ }
+ delete [] _RC;
+
+
+ for(ia=0;ia<_nA;ia++){
+ for(ib=0;ib<_nB;ib++){
+ delete [] _amp[ia][ib];
+ delete [] _amp1[ia][ib];
+ delete [] _amp3[ia][ib];
+ }
+ delete [] _amp[ia];
+ delete [] _amp1[ia];
+ delete [] _amp3[ia];
+ }
+
+ delete [] _amp;
+ delete [] _amp1;
+ delete [] _amp3;
+
+}
+
+
+EvtEvalHelAmp::EvtEvalHelAmp(EvtId idA,
+ EvtId idB,
+ EvtId idC,
+ EvtComplexPtrPtr HBC){
+
+
+ EvtSpinType::spintype typeA=EvtPDL::getSpinType(idA);
+ EvtSpinType::spintype typeB=EvtPDL::getSpinType(idB);
+ EvtSpinType::spintype typeC=EvtPDL::getSpinType(idC);
+
+ //find out how many states each particle have
+ _nA=EvtSpinType::getSpinStates(typeA);
+ _nB=EvtSpinType::getSpinStates(typeB);
+ _nC=EvtSpinType::getSpinStates(typeC);
+
+ //find out what 2 times the spin is
+ _JA2=EvtSpinType::getSpin2(typeA);
+ _JB2=EvtSpinType::getSpin2(typeB);
+ _JC2=EvtSpinType::getSpin2(typeC);
+
+
+ //allocate memory
+ _lambdaA2=new int[_nA];
+ _lambdaB2=new int[_nB];
+ _lambdaC2=new int[_nC];
+
+ _HBC=new EvtComplexPtr[_nB];
+ int ia,ib,ic;
+ for(ib=0;ib<_nB;ib++){
+ _HBC[ib]=new EvtComplex[_nC];
+ }
+
+
+ _RA=new EvtComplexPtr[_nA];
+ for(ia=0;ia<_nA;ia++){
+ _RA[ia]=new EvtComplex[_nA];
+ }
+ _RB=new EvtComplexPtr[_nB];
+ for(ib=0;ib<_nB;ib++){
+ _RB[ib]=new EvtComplex[_nB];
+ }
+ _RC=new EvtComplexPtr[_nC];
+ for(ic=0;ic<_nC;ic++){
+ _RC[ic]=new EvtComplex[_nC];
+ }
+
+ _amp=new EvtComplexPtrPtr[_nA];
+ _amp1=new EvtComplexPtrPtr[_nA];
+ _amp3=new EvtComplexPtrPtr[_nA];
+ for(ia=0;ia<_nA;ia++){
+ _amp[ia]=new EvtComplexPtr[_nB];
+ _amp1[ia]=new EvtComplexPtr[_nB];
+ _amp3[ia]=new EvtComplexPtr[_nB];
+ for(ib=0;ib<_nB;ib++){
+ _amp[ia][ib]=new EvtComplex[_nC];
+ _amp1[ia][ib]=new EvtComplex[_nC];
+ _amp3[ia][ib]=new EvtComplex[_nC];
+ }
+ }
+
+ //find the allowed helicities (actually 2*times the helicity!)
+
+ fillHelicity(_lambdaA2,_nA,_JA2,idA);
+ fillHelicity(_lambdaB2,_nB,_JB2,idB);
+ fillHelicity(_lambdaC2,_nC,_JC2,idC);
+
+ for(ib=0;ib<_nB;ib++){
+ for(ic=0;ic<_nC;ic++){
+ _HBC[ib][ic]=HBC[ib][ic];
+ }
+ }
+}
+
+
+
+
+
+
+double EvtEvalHelAmp::probMax(){
+
+ double c=1.0/sqrt(4*EvtConst::pi/(_JA2+1));
+
+ int ia,ib,ic;
+
+
+ double theta;
+ int itheta;
+
+ double maxprob=0.0;
+
+ for(itheta=-10;itheta<=10;itheta++){
+ theta=acos(0.099999*itheta);
+ for(ia=0;ia<_nA;ia++){
+ double prob=0.0;
+ for(ib=0;ib<_nB;ib++){
+ for(ic=0;ic<_nC;ic++){
+ _amp[ia][ib][ic]=0.0;
+ if (abs(_lambdaB2[ib]-_lambdaC2[ic])<=_JA2) {
+ _amp[ia][ib][ic]=c*_HBC[ib][ic]*
+ EvtdFunction::d(_JA2,_lambdaA2[ia],
+ _lambdaB2[ib]-_lambdaC2[ic],theta);
+ prob+=real(_amp[ia][ib][ic]*conj(_amp[ia][ib][ic]));
+ }
+ }
+ }
+
+ prob*=sqrt(1.0*_nA);
+
+ if (prob>maxprob) maxprob=prob;
+
+ }
+ }
+
+ return maxprob;
+
+}
+
+
+void EvtEvalHelAmp::evalAmp( EvtParticle *p, EvtAmp& amp){
+
+ //find theta and phi of the first daughter
+
+ EvtVector4R pB=p->getDaug(0)->getP4();
+
+ double theta=acos(pB.get(3)/pB.d3mag());
+ double phi=atan2(pB.get(2),pB.get(1));
+
+ double c=sqrt((_JA2+1)/(4*EvtConst::pi));
+
+ int ia,ib,ic;
+
+ double prob1=0.0;
+
+ for(ia=0;ia<_nA;ia++){
+ for(ib=0;ib<_nB;ib++){
+ for(ic=0;ic<_nC;ic++){
+ _amp[ia][ib][ic]=0.0;
+ if (abs(_lambdaB2[ib]-_lambdaC2[ic])<=_JA2) {
+ double dfun=EvtdFunction::d(_JA2,_lambdaA2[ia],
+ _lambdaB2[ib]-_lambdaC2[ic],theta);
+
+ _amp[ia][ib][ic]=c*_HBC[ib][ic]*
+ exp(EvtComplex(0.0,phi*0.5*(_lambdaA2[ia]-_lambdaB2[ib]+
+ _lambdaC2[ic])))*dfun;
+ }
+ prob1+=real(_amp[ia][ib][ic]*conj(_amp[ia][ib][ic]));
+ }
+ }
+ }
+
+ setUpRotationMatrices(p,theta,phi);
+
+ applyRotationMatrices();
+
+ double prob2=0.0;
+
+ for(ia=0;ia<_nA;ia++){
+ for(ib=0;ib<_nB;ib++){
+ for(ic=0;ic<_nC;ic++){
+ prob2+=real(_amp[ia][ib][ic]*conj(_amp[ia][ib][ic]));
+ if (_nA==1){
+ if (_nB==1){
+ if (_nC==1){
+ amp.vertex(_amp[ia][ib][ic]);
+ }
+ else{
+ amp.vertex(ic,_amp[ia][ib][ic]);
+ }
+ }
+ else{
+ if (_nC==1){
+ amp.vertex(ib,_amp[ia][ib][ic]);
+ }
+ else{
+ amp.vertex(ib,ic,_amp[ia][ib][ic]);
+ }
+ }
+ }else{
+ if (_nB==1){
+ if (_nC==1){
+ amp.vertex(ia,_amp[ia][ib][ic]);
+ }
+ else{
+ amp.vertex(ia,ic,_amp[ia][ib][ic]);
+ }
+ }
+ else{
+ if (_nC==1){
+ amp.vertex(ia,ib,_amp[ia][ib][ic]);
+ }
+ else{
+ amp.vertex(ia,ib,ic,_amp[ia][ib][ic]);
+ }
+ }
+ }
+ }
+ }
+ }
+
+ if (fabs(prob1-prob2)>0.000001*prob1){
+ report(INFO,"EvtGen") << "prob1,prob2:"<<prob1<<" "<<prob2<<endl;
+ ::abort();
+ }
+
+ return ;
+
+}
+
+
+void EvtEvalHelAmp::fillHelicity(int* lambda2,int n,int J2, EvtId id){
+
+ int i;
+
+ //photon is special case!
+ if (n==2&&J2==2) {
+ lambda2[0]=2;
+ lambda2[1]=-2;
+ return;
+ }
+
+ //and so is the neutrino!
+ if (n==1&&J2==1) {
+ if (EvtPDL::getStdHep(id)>0){
+ //particle i.e. lefthanded
+ lambda2[0]=-1;
+ }else{
+ //anti particle i.e. righthanded
+ lambda2[0]=1;
+ }
+ return;
+ }
+
+
+ assert(n==J2+1);
+
+ for(i=0;i<n;i++){
+ lambda2[i]=n-i*2-1;
+ }
+
+ return;
+
+}
+
+
+void EvtEvalHelAmp::setUpRotationMatrices(EvtParticle* p,double theta, double phi){
+
+ switch(_JA2){
+
+ case 0: case 1: case 2: case 3: case 4: case 5: case 6: case 7: case 8:
+
+ {
+
+ EvtSpinDensity R=p->rotateToHelicityBasis();
+
+
+ int i,j,n;
+
+ n=R.getDim();
+
+ assert(n==_nA);
+
+
+ for(i=0;i<n;i++){
+ for(j=0;j<n;j++){
+ _RA[i][j]=R.get(i,j);
+ }
+ }
+
+ }
+
+ break;
+
+ default:
+ report(ERROR,"EvtGen") << "Spin2(_JA2)="<<_JA2<<" not supported!"<<endl;
+ ::abort();
+ }
+
+
+ switch(_JB2){
+
+
+ case 0: case 1: case 2: case 3: case 4: case 5: case 6: case 7: case 8:
+
+ {
+
+ int i,j,n;
+
+ EvtSpinDensity R=p->getDaug(0)->rotateToHelicityBasis(phi,theta,-phi);
+
+ n=R.getDim();
+
+ assert(n==_nB);
+
+ for(i=0;i<n;i++){
+ for(j=0;j<n;j++){
+ _RB[i][j]=conj(R.get(i,j));
+ }
+ }
+
+ }
+
+ break;
+
+ default:
+ report(ERROR,"EvtGen") << "Spin2(_JB2)="<<_JB2<<" not supported!"<<endl;
+ ::abort();
+ }
+
+ switch(_JC2){
+
+ case 0: case 1: case 2: case 3: case 4: case 5: case 6: case 7: case 8:
+
+ {
+
+ int i,j,n;
+
+ EvtSpinDensity R=p->getDaug(1)->rotateToHelicityBasis(phi,EvtConst::pi+theta,phi-EvtConst::pi);
+
+ n=R.getDim();
+
+ assert(n==_nC);
+
+ for(i=0;i<n;i++){
+ for(j=0;j<n;j++){
+ _RC[i][j]=conj(R.get(i,j));
+ }
+ }
+
+ }
+
+ break;
+
+ default:
+ report(ERROR,"EvtGen") << "Spin2(_JC2)="<<_JC2<<" not supported!"<<endl;
+ ::abort();
+ }
+
+
+
+}
+
+
+void EvtEvalHelAmp::applyRotationMatrices(){
+
+ int ia,ib,ic,i;
+
+ EvtComplex temp;
+
+
+
+ for(ia=0;ia<_nA;ia++){
+ for(ib=0;ib<_nB;ib++){
+ for(ic=0;ic<_nC;ic++){
+ temp=0;
+ for(i=0;i<_nC;i++){
+ temp+=_RC[i][ic]*_amp[ia][ib][i];
+ }
+ _amp1[ia][ib][ic]=temp;
+ }
+ }
+ }
+
+
+
+ for(ia=0;ia<_nA;ia++){
+ for(ic=0;ic<_nC;ic++){
+ for(ib=0;ib<_nB;ib++){
+ temp=0;
+ for(i=0;i<_nB;i++){
+ temp+=_RB[i][ib]*_amp1[ia][i][ic];
+ }
+ _amp3[ia][ib][ic]=temp;
+ }
+ }
+ }
+
+
+
+ for(ib=0;ib<_nB;ib++){
+ for(ic=0;ic<_nC;ic++){
+ for(ia=0;ia<_nA;ia++){
+ temp=0;
+ for(i=0;i<_nA;i++){
+ temp+=_RA[i][ia]*_amp3[i][ib][ic];
+ }
+ _amp[ia][ib][ic]=temp;
+ }
+ }
+ }
+
+
+}
+
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech
+//
+// Module: EvtGen/EvtEvalHelAmp.hh
+//
+// Description: Class for evaluation of amplitudes in the
+// helicity formalism.
+//
+//
+// Modification history:
+//
+// RYD October 24, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTEVALHELAMP_HH
+#define EVTEVALHELAMP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtId.hh"
+
+class EvtParticle;
+class EvtAmp;
+
+class EvtEvalHelAmp{
+
+public:
+
+ EvtEvalHelAmp(EvtId idA,
+ EvtId idB,
+ EvtId idC,
+ EvtComplexPtrPtr HBC);
+
+ virtual ~EvtEvalHelAmp();
+
+ double probMax();
+
+ void evalAmp(EvtParticle *p, EvtAmp& amp);
+
+
+private:
+
+ void fillHelicity(int* lambda2,int n,int J2, EvtId id);
+ void setUpRotationMatrices(EvtParticle *p,double theta, double phi);
+ void applyRotationMatrices();
+
+ //spins states available for particle A, B, and C.
+ int _nA,_nB,_nC;
+
+ //helicity amplitudes
+ EvtComplexPtrPtr _HBC;
+
+ //2 times spin for each of the particles
+ int _JA2,_JB2,_JC2;
+
+ //2 times the helicity for the states
+ int *_lambdaA2,*_lambdaB2,*_lambdaC2;
+
+ //Rotation matrices
+ EvtComplexPtrPtr _RA,_RB,_RC;
+
+ //temporary array for amplitudes
+ EvtComplexPtrPtrPtr _amp,_amp1,_amp3;
+
+};
+
+#endif
+
+
+
+
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtFlatAmp.hh,v 1.4 2009/02/18 03:31:38 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Flat amplitude
+
+#ifndef EVT_FLAT_AMP_HH
+#define EVT_FLAT_AMP_HH
+
+#include "EvtGenBase/EvtAmplitude.hh"
+
+template <class T>
+class EvtFlatAmp : public EvtAmplitude<T> {
+public:
+
+ EvtFlatAmp() {}
+ EvtFlatAmp(const EvtFlatAmp<T>& other) : EvtAmplitude<T>(other) {}
+ virtual ~EvtFlatAmp() {}
+
+ virtual EvtAmplitude<T>* clone() const { return new EvtFlatAmp<T>(*this); }
+ virtual EvtComplex amplitude(const T& ) const { return EvtComplex(1.,0.); }
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtLineShape.cc
+//
+// Description: Store particle properties for one particle.
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+// Dvoretskii June 03, 2002 Reimplemented rollMass()
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtFlatLineShape.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtBlattWeisskopf.hh"
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+#include "EvtGenBase/EvtPropBreitWigner.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+
+EvtFlatLineShape::EvtFlatLineShape() {
+
+}
+
+EvtFlatLineShape::~EvtFlatLineShape() {
+}
+
+EvtFlatLineShape::EvtFlatLineShape(double mass, double width, double maxRange, EvtSpinType::spintype sp) {
+
+ _mass=mass;
+ _width=width;
+ _spin=sp;
+ _maxRange=maxRange;
+
+ double maxdelta = width;
+
+ _massMax=mass+maxdelta;
+ _massMin=mass-maxdelta;
+
+ if ( _massMin< 0. ) _massMin=0.;
+
+}
+
+EvtFlatLineShape::EvtFlatLineShape(const EvtFlatLineShape& x):
+EvtAbsLineShape( x ) {
+ _mass=x._mass;
+ _width=x._width;
+ _spin=x._spin;
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _maxRange=x._maxRange;
+
+}
+
+EvtFlatLineShape& EvtFlatLineShape::operator=(const EvtFlatLineShape& x){
+ _mass=x._mass;
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _width=x._width;
+ _maxRange=x._maxRange;
+ _spin=x._spin;
+ return *this;
+
+}
+
+EvtAbsLineShape* EvtFlatLineShape::clone() {
+
+ return new EvtFlatLineShape(*this);
+}
+
+
+double EvtFlatLineShape::getMassProb(double mass, double massPar,int nDaug, double *massDau) {
+
+
+ double dTotMass=0.;
+
+ int i;
+ for (i=0; i<nDaug; i++) {
+ dTotMass+=massDau[i];
+ }
+ if ( (mass<dTotMass) ) return 0.;
+
+ if ( massPar>0.0000000001 ) {
+ if ( mass > massPar) return 0.;
+ }
+
+ return 1.;
+}
+
+double EvtFlatLineShape::getRandMass(EvtId*,int, EvtId*, EvtId*, double, double*) {
+
+ return EvtRandom::Flat(_massMin,_massMax);
+
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtAbsLineShape.hh
+//
+// Description: Class to keep the particle properties for
+// one particle
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTFLATLINESHAPE_HH
+#define EVTFLATLINESHAPE_HH
+
+#include "EvtGenBase/EvtAbsLineShape.hh"
+
+class EvtFlatLineShape :public EvtAbsLineShape {
+
+public:
+
+ EvtFlatLineShape();
+ EvtFlatLineShape(double mass, double width, double maxRange, EvtSpinType::spintype sp);
+ //figure the m1 and l on the fly
+ // double mDaug1, double mDaug2, int l);
+ ~EvtFlatLineShape();
+ EvtFlatLineShape& operator=(const EvtFlatLineShape& x);
+ EvtFlatLineShape(const EvtFlatLineShape& x);
+
+ EvtAbsLineShape* clone();
+
+ double getMassProb(double mass, double massPar, int nDaug, double *massDau);
+ // othDaugId is the other daughter of the parent in the case of a two body decay (only!)
+ // ie B->rho K rho->pipi, othDaugId = K
+ double getRandMass(EvtId *parId, int nDaug, EvtId *dauId, EvtId *othDaugId,double maxMass, double *dauMasses);
+
+
+protected:
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtFlatte.cc
+//
+// Description: resonance-defining class
+//
+// Modification history:
+//
+// ponyisi 18 Feb 2008 created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <math.h>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtFlatte.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtConst.hh"
+
+EvtFlatte::~EvtFlatte(){}
+
+//operator
+
+EvtFlatte& EvtFlatte::operator = ( const EvtFlatte &n)
+{
+ if ( &n == this ) return *this;
+ _p4_p = n._p4_p;
+ _p4_d1 = n._p4_d1;
+ _p4_d2 = n._p4_d2;
+ _ampl = n._ampl;
+ _theta = n._theta;
+ _mass = n._mass;
+ _params = n._params;
+ // _m1a = n._m1a;
+ // _m1b = n._m1b;
+ // _g1 = n._g1;
+ // _m2a = n._m2a;
+ // _m2b = n._m2b;
+ // _g2 = n._g2;
+ return *this;
+}
+
+//constructor
+
+EvtFlatte::EvtFlatte(const EvtVector4R& p4_p, const EvtVector4R& p4_d1,
+ const EvtVector4R& p4_d2, double ampl,
+ double theta, double mass,
+ vector<EvtFlatteParam>& params
+ // double m1a, double m1b, double g1,
+ // double m2a, double m2b, double g2
+ ):
+ _p4_p(p4_p),_p4_d1(p4_d1), _p4_d2(p4_d2), _ampl(ampl), _theta(theta),
+ _mass(mass),
+ _params(params)
+ // _m1a(m1a), _m1b(m1b), _g1(g1),
+ // _m2a(m2a), _m2b(m2b), _g2(g2)
+{}
+
+//amplitude function
+
+EvtComplex EvtFlatte::resAmpl() {
+
+ double pi180inv = 1.0/EvtConst::radToDegrees;
+
+ // EvtComplex ampl(cos(_theta*pi180inv), sin(_theta*pi180inv));
+ // ampl *= _ampl;
+
+ // SCALARS ONLY
+ double mR = (_p4_d1+_p4_d2).mass();
+
+ EvtComplex w;
+
+ for (vector<EvtFlatteParam>::const_iterator param = _params.begin();
+ param != _params.end();
+ ++param) {
+
+ double m1 = (*param).m1(); double m2 = (*param).m2();
+ double g = (*param).g();
+ w += (g*g
+ *sqrtCplx((1-((m1-m2)*(m1-m2))/(mR*mR))*
+ (1-((m1+m2)*(m1+m2))/(mR*mR))));
+ // cout << m1 << " " << mR << " " << w << endl;
+ }
+
+ EvtComplex denom = _mass*_mass - mR*mR - EvtComplex(0,1)*w;
+ EvtComplex ampl = _ampl*EvtComplex(cos(_theta*pi180inv), sin(_theta*pi180inv))/denom;
+ // cout << abs(1/denom) << endl;
+ return ampl;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtFlatte.hh
+//
+// Description:resonance-defining class
+//
+// Modification history:
+//
+// ponyisi 18 Feb 2008 created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTFLATTE_HH
+#define EVTFLATTE_HH
+
+#include "EvtGenBase/EvtVector4R.hh"
+#include <vector>
+
+using std::vector;
+
+class EvtComplex;
+
+// Helper class
+
+class EvtFlatteParam {
+public:
+ EvtFlatteParam(double m1, double m2, double g):
+ _m1(m1), _m2(m2), _g(g) {}
+
+ inline double m1() const { return _m1; }
+ inline double m2() const { return _m2; }
+ inline double g() const { return _g; }
+
+private:
+ double _m1, _m2, _g;
+};
+
+//class declaration
+
+class EvtFlatte {
+public:
+
+ //operator
+ EvtFlatte& operator = (const EvtFlatte &);
+
+ //constructor with all information about the resonance
+ EvtFlatte(const EvtVector4R& p4_p, const EvtVector4R& p4_d1,
+ const EvtVector4R& p4_d2,
+ double ampl, double theta,
+ double mass,
+ vector<EvtFlatteParam>& params
+ // double m1a = 0.0, double m1b = 0.0, double g1 = 0.0,
+ // double m2a = 0.0, double m2b = 0.0, double g2 = 0.0
+ );
+
+ //destructor
+ virtual ~EvtFlatte();
+
+ //accessors
+ //return 4-momenta of the particles involved
+ inline const EvtVector4R& p4_p() { return _p4_p; }
+ inline const EvtVector4R& p4_d1() { return _p4_d1; }
+ inline const EvtVector4R& p4_d2() { return _p4_d2; }
+
+
+ //return amplitude
+ inline double amplitude() { return _ampl; }
+
+ //return theta
+ inline double theta() { return _theta; }
+
+ //return bwm
+ inline double mass() { return _mass; }
+
+ //functions
+
+ //calculate amplitude for this resonance
+ EvtComplex resAmpl();
+
+private:
+
+ inline EvtComplex sqrtCplx(double in) { return (in > 0) ? EvtComplex(sqrt(in), 0) : EvtComplex
+ (0, sqrt(-in)); }
+
+ EvtVector4R _p4_p, _p4_d1, _p4_d2;
+ double _ampl, _theta, _mass;
+ vector<EvtFlatteParam> _params;
+ // double _m1a, _m1b, _g1;
+ // double _m2a, _m2b, _g2;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGammaMatrix.cc
+//
+// Description: Make gamma matrices availible for the calc. of amplitudes, etc.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include <stdlib.h>
+using std::endl;
+using std::ostream;
+
+EvtGammaMatrix::EvtGammaMatrix(){
+ int i,j;
+
+ static EvtComplex zero(0.0,0.0);
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _gamma[i][j]=zero;
+ }
+ }
+}
+
+EvtGammaMatrix operator*(const EvtGammaMatrix& g, const EvtComplex& c)
+{
+ return c*g;
+}
+
+
+EvtGammaMatrix operator*(const EvtComplex& c,const EvtGammaMatrix& g){
+ int i,j;
+
+ EvtGammaMatrix temp;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ temp._gamma[i][j]=g._gamma[i][j]*c;
+ }
+ }
+
+ return temp;
+
+}
+
+
+ostream& operator<<(ostream& s, const EvtGammaMatrix& g){
+
+
+ s<<"["<<g._gamma[0][0]<<","<<g._gamma[0][1]<<","<<g._gamma[0][2]<<","<<g._gamma[0][3]<<"]"<<endl;
+ s<<"["<<g._gamma[1][0]<<","<<g._gamma[1][1]<<","<<g._gamma[1][2]<<","<<g._gamma[1][3]<<"]"<<endl;
+ s<<"["<<g._gamma[2][0]<<","<<g._gamma[2][1]<<","<<g._gamma[2][2]<<","<<g._gamma[2][3]<<"]"<<endl;
+ s<<"["<<g._gamma[3][0]<<","<<g._gamma[3][1]<<","<<g._gamma[3][2]<<","<<g._gamma[3][3]<<"]"<<endl;
+
+ return s;
+
+}
+
+
+
+EvtGammaMatrix::EvtGammaMatrix(const EvtGammaMatrix& gm){
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _gamma[i][j]=gm._gamma[i][j];
+ }
+ }
+}
+
+EvtGammaMatrix::~EvtGammaMatrix() {}
+
+EvtGammaMatrix& EvtGammaMatrix::operator=(const EvtGammaMatrix& gm){
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _gamma[i][j]=gm._gamma[i][j];
+ }
+ }
+ return *this;
+}
+
+void EvtGammaMatrix::init(){
+ int i,j;
+
+ static EvtComplex zero(0.0,0.0);
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _gamma[i][j]=zero;
+ }
+ }
+}
+
+const EvtGammaMatrix& EvtGammaMatrix::va0(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ g._gamma[0][0]=EvtComplex(1.0,0.0);
+ g._gamma[0][1]=EvtComplex(0.0,0.0);
+ g._gamma[0][2]=EvtComplex(-1.0,0.0);
+ g._gamma[0][3]=EvtComplex(0.0,0.0);
+ g._gamma[1][0]=EvtComplex(0.0,0.0);
+ g._gamma[1][1]=EvtComplex(1.0,0.0);
+ g._gamma[1][2]=EvtComplex(0.0,0.0);
+ g._gamma[1][3]=EvtComplex(-1.0,0.0);
+ g._gamma[2][0]=EvtComplex(-1.0,0.0);
+ g._gamma[2][1]=EvtComplex(0.0,0.0);
+ g._gamma[2][2]=EvtComplex(1.0,0.0);
+ g._gamma[2][3]=EvtComplex(0.0,0.0);
+ g._gamma[3][0]=EvtComplex(0.0,0.0);
+ g._gamma[3][1]=EvtComplex(-1.0,0.0);
+ g._gamma[3][2]=EvtComplex(0.0,0.0);
+ g._gamma[3][3]=EvtComplex(1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+const EvtGammaMatrix& EvtGammaMatrix::va1(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ g._gamma[0][0]=EvtComplex(0.0,0.0);
+ g._gamma[0][1]=EvtComplex(-1.0,0.0);
+ g._gamma[0][2]=EvtComplex(0.0,0.0);
+ g._gamma[0][3]=EvtComplex(1.0,0.0);
+ g._gamma[1][0]=EvtComplex(-1.0,0.0);
+ g._gamma[1][1]=EvtComplex(0.0,0.0);
+ g._gamma[1][2]=EvtComplex(1.0,0.0);
+ g._gamma[1][3]=EvtComplex(0.0,0.0);
+ g._gamma[2][0]=EvtComplex(0.0,0.0);
+ g._gamma[2][1]=EvtComplex(1.0,0.0);
+ g._gamma[2][2]=EvtComplex(0.0,0.0);
+ g._gamma[2][3]=EvtComplex(-1.0,0.0);
+ g._gamma[3][0]=EvtComplex(1.0,0.0);
+ g._gamma[3][1]=EvtComplex(0.0,0.0);
+ g._gamma[3][2]=EvtComplex(-1.0,0.0);
+ g._gamma[3][3]=EvtComplex(0.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::va2(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ g._gamma[0][0]=EvtComplex(0.0,0.0);
+ g._gamma[0][1]=EvtComplex(0.0,1.0);
+ g._gamma[0][2]=EvtComplex(0.0,0.0);
+ g._gamma[0][3]=EvtComplex(0.0,-1.0);
+ g._gamma[1][0]=EvtComplex(0.0,-1.0);
+ g._gamma[1][1]=EvtComplex(0.0,0.0);
+ g._gamma[1][2]=EvtComplex(0.0,1.0);
+ g._gamma[1][3]=EvtComplex(0.0,0.0);
+ g._gamma[2][0]=EvtComplex(0.0,0.0);
+ g._gamma[2][1]=EvtComplex(0.0,-1.0);
+ g._gamma[2][2]=EvtComplex(0.0,0.0);
+ g._gamma[2][3]=EvtComplex(0.0,1.0);
+ g._gamma[3][0]=EvtComplex(0.0,1.0);
+ g._gamma[3][1]=EvtComplex(0.0,0.0);
+ g._gamma[3][2]=EvtComplex(0.0,-1.0);
+ g._gamma[3][3]=EvtComplex(0.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::va3(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ g._gamma[0][0]=EvtComplex(-1.0,0.0);
+ g._gamma[0][1]=EvtComplex(0.0,0.0);
+ g._gamma[0][2]=EvtComplex(1.0,0.0);
+ g._gamma[0][3]=EvtComplex(0.0,0.0);
+ g._gamma[1][0]=EvtComplex(0.0,0.0);
+ g._gamma[1][1]=EvtComplex(1.0,0.0);
+ g._gamma[1][2]=EvtComplex(0.0,0.0);
+ g._gamma[1][3]=EvtComplex(-1.0,0.0);
+ g._gamma[2][0]=EvtComplex(1.0,0.0);
+ g._gamma[2][1]=EvtComplex(0.0,0.0);
+ g._gamma[2][2]=EvtComplex(-1.0,0.0);
+ g._gamma[2][3]=EvtComplex(0.0,0.0);
+ g._gamma[3][0]=EvtComplex(0.0,0.0);
+ g._gamma[3][1]=EvtComplex(-1.0,0.0);
+ g._gamma[3][2]=EvtComplex(0.0,0.0);
+ g._gamma[3][3]=EvtComplex(1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::g0(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+
+ first=0;
+
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][0]=EvtComplex(1.0,0.0);
+ g._gamma[1][1]=EvtComplex(1.0,0.0);
+ g._gamma[2][2]=EvtComplex(-1.0,0.0);
+ g._gamma[3][3]=EvtComplex(-1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::g1(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first=0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][3]=EvtComplex(1.0,0.0);
+ g._gamma[1][2]=EvtComplex(1.0,0.0);
+ g._gamma[2][1]=EvtComplex(-1.0,0.0);
+ g._gamma[3][0]=EvtComplex(-1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::g2(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first=0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][3]=EvtComplex(0.0,-1.0);
+ g._gamma[1][2]=EvtComplex(0.0,1.0);
+ g._gamma[2][1]=EvtComplex(0.0,1.0);
+ g._gamma[3][0]=EvtComplex(0.0,-1.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::g3(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first=0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][2]=EvtComplex(1.0,0.0);
+ g._gamma[1][3]=EvtComplex(-1.0,0.0);
+ g._gamma[2][0]=EvtComplex(-1.0,0.0);
+ g._gamma[3][1]=EvtComplex(1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::g5(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][2]=EvtComplex(1.0,0.0);
+ g._gamma[1][3]=EvtComplex(1.0,0.0);
+ g._gamma[2][0]=EvtComplex(1.0,0.0);
+ g._gamma[3][1]=EvtComplex(1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::g(int index) {
+ switch (index) {
+ case 0:
+ return g0();
+ case 1:
+ return g1();
+ case 2:
+ return g2();
+ case 3:
+ return g3();
+ case 5:
+ return g5();
+ default:
+ report(ERROR, "EvtGen") << "Invalid index for four vector: " << index << endl;
+ exit(-2);
+ }
+}
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::v0(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][0]=EvtComplex(1.0,0.0);
+ g._gamma[1][1]=EvtComplex(1.0,0.0);
+ g._gamma[2][2]=EvtComplex(1.0,0.0);
+ g._gamma[3][3]=EvtComplex(1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::v1(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][3]=EvtComplex(1.0,0.0);
+ g._gamma[1][2]=EvtComplex(1.0,0.0);
+ g._gamma[2][1]=EvtComplex(1.0,0.0);
+ g._gamma[3][0]=EvtComplex(1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::v2(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][3]=EvtComplex(0.0,-1.0);
+ g._gamma[1][2]=EvtComplex(0.0,1.0);
+ g._gamma[2][1]=EvtComplex(0.0,-1.0);
+ g._gamma[3][0]=EvtComplex(0.0,1.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::v3(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][2]=EvtComplex(1.0,0.0);
+ g._gamma[1][3]=EvtComplex(-1.0,0.0);
+ g._gamma[2][0]=EvtComplex(1.0,0.0);
+ g._gamma[3][1]=EvtComplex(-1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+
+const EvtGammaMatrix& EvtGammaMatrix::id(){
+
+ static EvtGammaMatrix g;
+ static int first=1;
+
+ if (first){
+ first = 0;
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ g._gamma[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+ g._gamma[0][0]=EvtComplex(1.0,0.0);
+ g._gamma[1][1]=EvtComplex(1.0,0.0);
+ g._gamma[2][2]=EvtComplex(1.0,0.0);
+ g._gamma[3][3]=EvtComplex(1.0,0.0);
+ }
+
+ return g;
+
+}
+
+
+
+
+EvtGammaMatrix& EvtGammaMatrix::operator+=(const EvtGammaMatrix &g){
+
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _gamma[i][j]+=g._gamma[i][j];
+ }
+ }
+ return *this;
+}
+
+
+
+
+
+EvtGammaMatrix& EvtGammaMatrix::operator-=(const EvtGammaMatrix &g){
+
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _gamma[i][j]-=g._gamma[i][j];
+ }
+ }
+ return *this;
+}
+
+
+
+EvtGammaMatrix& EvtGammaMatrix::operator*=(const EvtGammaMatrix &g){
+
+ int i,j,k;
+ EvtGammaMatrix temp;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ temp._gamma[i][j]=EvtComplex(0.0,0.0);
+ for(k=0;k<4;k++){
+ temp._gamma[i][j]+=_gamma[i][k]*g._gamma[k][j];
+ }
+ }
+ }
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _gamma[i][j]=temp._gamma[i][j];
+ }
+ }
+
+ return *this;
+}
+
+
+EvtDiracSpinor operator*(const EvtGammaMatrix& g,const EvtDiracSpinor& d){
+
+ int i,j;
+ EvtDiracSpinor temp;
+
+ for(i=0;i<4;i++){
+ temp.set_spinor(i,EvtComplex(0.0,0.0));
+ for(j=0;j<4;j++){
+ temp.set_spinor(i,temp.get_spinor(i)+g._gamma[i][j]*d.get_spinor(j));
+ }
+ }
+
+ return temp;
+}
+
+/*
+EvtComplex operator*(const EvtDiracSpinor& d,const EvtDiracSpinor& dp){
+
+ int i;
+ EvtComplex temp;
+
+ temp=EvtComplex(0.0,0.0);
+
+ for(i=0;i<4;i++){
+ temp+=::conj(d.get_spinor(i))*dp.get_spinor(i);
+ }
+ return temp;
+}
+*/
+
+// upper index
+const EvtGammaMatrix& EvtGammaMatrix::sigmaUpper(unsigned int mu, unsigned int nu)
+{
+ EvtGammaMatrix a, b;
+ static const EvtTensor4C eta = EvtTensor4C::g(); //metric
+ static EvtGammaMatrix sigma[4][4];
+ static bool hasBeenCalled = false;
+ if (!hasBeenCalled)
+ {
+ EvtComplex I(0, 1);
+ for (int i=0; i<4; ++i)
+ sigma[i][i].init(); // set to 0
+
+ EvtGammaMatrix s01 = I/2 * (g0()*g1() - g1()*g0());
+ EvtGammaMatrix s02 = I/2 * (g0()*g2() - g2()*g0());
+ EvtGammaMatrix s03 = I/2 * (g0()*g3() - g3()*g0());
+ EvtGammaMatrix s12 = I/2 * (g1()*g2() - g2()*g1());
+ EvtGammaMatrix s13 = I/2 * (g1()*g3() - g3()*g1());
+ EvtGammaMatrix s23 = I/2 * (g2()*g3() - g3()*g2());
+ sigma[0][1] = s01;
+ sigma[1][0] = -1*s01;
+ sigma[0][2] = s02;
+ sigma[2][0] = -1*s02;
+ sigma[0][3] = s03;
+ sigma[3][0] = -1*s03;
+ sigma[1][2] = s12;
+ sigma[2][1] = -1*s12;
+ sigma[1][3] = s13;
+ sigma[3][1] = -1*s13;
+ sigma[2][3] = s23;
+ sigma[3][2] = -1*s23;
+ }
+ hasBeenCalled = true;
+
+ if (mu > 3 || nu > 3)
+ {
+ report(ERROR, "EvtSigmaTensor") << "Expected index between 0 and 3, but found " << nu << "!" << endl;
+ assert(0);
+ }
+ return sigma[mu][nu];
+
+}
+
+const EvtGammaMatrix& EvtGammaMatrix::sigmaLower(unsigned int mu, unsigned int nu)
+{
+ const EvtComplex I(0, 1);
+ EvtGammaMatrix a, b;
+ static EvtGammaMatrix sigma[4][4];
+ static bool hasBeenCalled = false;
+ static const EvtTensor4C eta = EvtTensor4C::g();
+
+ if (!hasBeenCalled) // has to be initialized only at the first call
+ {
+ // lower index
+ for (int i=0; i<4; ++i)
+ {
+ a = eta.get(i, 0)*g0() + eta.get(i, 1)*g1() + eta.get(i, 2)*g2() + eta.get(i, 3)*g3();
+ for (int j=0; j<4; ++j)
+ {
+ b = eta.get(j, 0)*g0() + eta.get(j, 1)*g1() + eta.get(j, 2)*g2() + eta.get(j, 3)*g3();
+ sigma[i][j] = I/2 * (a*b - b*a);
+ }
+ }
+ }
+ return sigma[mu][nu];
+}
+
+
+EvtGammaMatrix slash(const EvtVector4C& p)
+{
+ return EvtGammaMatrix::g0()*p.get(0) + EvtGammaMatrix::g1()*p.get(1) + EvtGammaMatrix::g2()*p.get(2) + EvtGammaMatrix::g3()*p.get(3);
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtGammaMatrix.hh
+//
+// Description: Class to manipulate gamma matrices. The reperesentation
+// used is the "standard" Dirac representation.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTGAMMAMATRIX_HH
+#define EVTGAMMAMATRIX_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh" // needed for adjoint
+//#include <iostream.h>
+#include <iosfwd>
+class EvtGammaMatrix;
+class EvtVector4C;
+
+EvtGammaMatrix slash(const EvtVector4C& p);
+
+class EvtGammaMatrix {
+
+ friend EvtGammaMatrix operator*(const EvtComplex& c,const EvtGammaMatrix& g);
+ friend EvtGammaMatrix operator*(const EvtGammaMatrix& g, const EvtComplex& c);
+ friend EvtGammaMatrix operator/(const EvtGammaMatrix& g, const double d);
+ friend EvtDiracSpinor operator*(const EvtGammaMatrix& g,const EvtDiracSpinor& d);
+ //friend EvtComplex operator*(const EvtDiracSpinor& d,const EvtDiracSpinor& dp);
+ friend EvtGammaMatrix operator+(const EvtGammaMatrix& g1,const EvtGammaMatrix& g2);
+ friend EvtGammaMatrix operator-(const EvtGammaMatrix& g1,const EvtGammaMatrix& g2);
+ friend EvtGammaMatrix operator*(const EvtGammaMatrix& g1,const EvtGammaMatrix& g2);
+ friend std::ostream& operator<<(std::ostream& s, const EvtGammaMatrix& v);
+ friend EvtDiracSpinor EvtDiracSpinor::adjoint() const;
+ // slash or Feynman slash a 4-vector
+ friend EvtGammaMatrix slash(const EvtVector4C& p);
+
+
+public:
+
+ EvtGammaMatrix();
+ virtual ~EvtGammaMatrix();
+ EvtGammaMatrix(const EvtGammaMatrix& gm);
+ EvtGammaMatrix& operator=(const EvtGammaMatrix& gm);
+
+ void init();
+ static const EvtGammaMatrix& g(int);
+ static const EvtGammaMatrix& g0();
+ static const EvtGammaMatrix& g1();
+ static const EvtGammaMatrix& g2();
+ static const EvtGammaMatrix& g3();
+ static const EvtGammaMatrix& g5();
+ static const EvtGammaMatrix& id();
+ static const EvtGammaMatrix& va0();
+ static const EvtGammaMatrix& va1();
+ static const EvtGammaMatrix& va2();
+ static const EvtGammaMatrix& va3();
+ static const EvtGammaMatrix& v0();
+ static const EvtGammaMatrix& v1();
+ static const EvtGammaMatrix& v2();
+ static const EvtGammaMatrix& v3();
+ // Dirac sigma matrix with upper or lower indices (only one element)
+ static const EvtGammaMatrix& sigmaUpper(unsigned int mu, unsigned int nu);
+ static const EvtGammaMatrix& sigmaLower(unsigned int mu, unsigned int nu);
+
+ EvtGammaMatrix& operator+=(const EvtGammaMatrix &g);
+ EvtGammaMatrix& operator-=(const EvtGammaMatrix &g);
+ EvtGammaMatrix& operator*=(const EvtGammaMatrix &g);
+
+private:
+ EvtComplex _gamma[4][4];
+
+};
+
+
+inline EvtGammaMatrix operator+(const EvtGammaMatrix& g1,const EvtGammaMatrix& g2){
+ return EvtGammaMatrix(g1)+=g2;
+}
+
+inline EvtGammaMatrix operator-(const EvtGammaMatrix& g1,const EvtGammaMatrix& g2){
+ return EvtGammaMatrix(g1)-=g2;
+}
+
+inline EvtGammaMatrix operator*(const EvtGammaMatrix& g1,const EvtGammaMatrix& g2){
+ return EvtGammaMatrix(g1)*=g2;
+}
+
+inline EvtGammaMatrix operator/(const EvtGammaMatrix& g, const double d)
+{
+ return g * EvtComplex(1/d,0);
+}
+
+
+
+
+#endif
--- /dev/null
+#ifdef __CINT__
+
+#pragma link off all globals;
+#pragma link off all classes;
+#pragma link off all functions;
+
+#endif
+
--- /dev/null
+#ifdef __CINT__
+
+#pragma link off all globals;
+#pragma link off all classes;
+#pragma link off all functions;
+
+#pragma link C++ class Evt3Rank3C+;
+#pragma link C++ class EvtAbsLineShape+;
+#pragma link C++ class EvtAmp+;
+#pragma link C++ class EvtAmpIndex+;
+#pragma link C++ class EvtAmpSubIndex+;
+#pragma link C++ class EvtBlattWeisskopf+;
+#pragma link C++ class EvtBreitWignerPdf+;
+#pragma link C++ class EvtCGCoefSingle+;
+#pragma link C++ class EvtCPUtil+;
+#pragma link C++ class EvtComplex+;
+#pragma link C++ class EvtConst+;
+#pragma link C++ class EvtCyclic3+;
+#pragma link C++ class EvtDalitzCoord+;
+#pragma link C++ class EvtDalitzFlatPdf+;
+#pragma link C++ class EvtDalitzPlot+;
+#pragma link C++ class EvtDalitzPoint+;
+#pragma link C++ class EvtDalitzResPdf+;
+#pragma link C++ class EvtDalitzReso+;
+#pragma link C++ class EvtDecayAmp+;
+#pragma link C++ class EvtDecayBase+;
+#pragma link C++ class EvtDecayIncoherent+;
+#pragma link C++ class EvtDecayMode+;
+#pragma link C++ class EvtDecayParm+;
+#pragma link C++ class EvtDecayProb+;
+#pragma link C++ class EvtDecayTable+;
+#pragma link C++ class EvtDiLog+;
+#pragma link C++ class EvtDiracParticle+;
+#pragma link C++ class EvtDiracSpinor+;
+#pragma link C++ class EvtEvalHelAmp+;
+#pragma link C++ class EvtFlatLineShape+;
+#pragma link C++ class EvtFlatte+;
+#pragma link C++ class EvtGammaMatrix+;
+#pragma link C++ class EvtGenKine+;
+#pragma link C++ class EvtHighSpinParticle+;
+#pragma link C++ class EvtId+;
+#pragma link C++ class EvtIdSet+;
+#pragma link C++ class EvtIntegPdf1D+;
+#pragma link C++ class EvtIntervalFlatPdf+;
+//#pragma link C++ class EvtKine+;
+#pragma link C++ class EvtLASSAmp+;
+#pragma link C++ class EvtMBreitWigner+;
+#pragma link C++ class EvtMHelAmp+;
+#pragma link C++ class EvtMNode+;
+#pragma link C++ class EvtMParticle+;
+#pragma link C++ class EvtMRes+;
+#pragma link C++ class EvtMTree+;
+#pragma link C++ class EvtMTrivialLS+;
+#pragma link C++ class EvtManyDeltaFuncLineShape+;
+#pragma link C++ class EvtMassAmp+;
+#pragma link C++ class EvtModel+;
+#pragma link C++ class EvtModelAlias+;
+#pragma link C++ class EvtMultiChannelParser+;
+#pragma link C++ class EvtNeutrinoParticle+;
+#pragma link C++ class EvtNonresonantAmp+;
+#pragma link C++ class EvtOrthogVector+;
+#pragma link C++ class EvtPDL+;
+#pragma link C++ class EvtParser+;
+#pragma link C++ class EvtPartProp+;
+#pragma link C++ class EvtParticle+;
+#pragma link C++ class EvtParticleDecay+;
+#pragma link C++ class EvtParticleDecayList+;
+#pragma link C++ class EvtParticleFactory+;
+#pragma link C++ class EvtPhotonParticle+;
+#pragma link C++ class EvtPoint1D+;
+#pragma link C++ class EvtPropBreitWigner+;
+#pragma link C++ class EvtPropBreitWignerRel+;
+#pragma link C++ class EvtPropFlatte+;
+#pragma link C++ class EvtPropGounarisSakurai+;
+#pragma link C++ class EvtPto3PAmp+;
+#pragma link C++ class EvtPto3PAmpFactory+;
+#pragma link C++ class EvtPto3PAmpSmpResolution+;
+#pragma link C++ class EvtRadCorr+;
+//#pragma link C++ class EvtRanFor+;
+#pragma link C++ class EvtRandom+;
+//#pragma link C++ class EvtRanf+;
+#pragma link C++ class EvtRaritaSchwinger+;
+#pragma link C++ class EvtRaritaSchwingerParticle+;
+#pragma link C++ class EvtRelBreitWignerBarrierFact+;
+//#pragma link C++ class EvtReport+;
+#pragma link C++ class EvtResonance+;
+#pragma link C++ class EvtResonance2+;
+#pragma link C++ class EvtScalarParticle+;
+#pragma link C++ class EvtSecondary+;
+#pragma link C++ class EvtSemiLeptonicAmp+;
+#pragma link C++ class EvtSemiLeptonicBaryonAmp+;
+#pragma link C++ class EvtSemiLeptonicScalarAmp+;
+#pragma link C++ class EvtSemiLeptonicTensorAmp+;
+#pragma link C++ class EvtSemiLeptonicVectorAmp+;
+#pragma link C++ class EvtSimpleRandomEngine+;
+#pragma link C++ class EvtSpinAmp+;
+#pragma link C++ class EvtSpinDensity+;
+#pragma link C++ class EvtSpinType+;
+#pragma link C++ class EvtStdHep+;
+#pragma link C++ class EvtStringParticle+;
+#pragma link C++ class EvtSymTable+;
+#pragma link C++ class EvtTensor3C+;
+#pragma link C++ class EvtTensor4C+;
+#pragma link C++ class EvtTensorParticle+;
+#pragma link C++ class EvtTwoBodyKine+;
+#pragma link C++ class EvtTwoBodyVertex+;
+#pragma link C++ class EvtValError+;
+#pragma link C++ class EvtVector3C+;
+#pragma link C++ class EvtVector3R+;
+#pragma link C++ class EvtVector4C+;
+#pragma link C++ class EvtVector4R+;
+#pragma link C++ class EvtVectorParticle+;
+#pragma link C++ class EvtdFunction+;
+#pragma link C++ class EvtdFunctionSingle+;
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenKine.cc
+//
+// Description: Tools for generating distributions of four vectors in
+// phasespace
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include <math.h>
+using std::endl;
+
+
+double EvtPawt(double a,double b,double c)
+{
+ double temp=(a*a-(b+c)*(b+c))*(a*a-(b-c)*(b-c));
+
+ if (temp<=0) {
+ return 0.0;
+ }
+
+ return sqrt(temp)/(2.0*a);
+}
+
+
+double EvtGenKine::PhaseSpace( int ndaug, double mass[30], EvtVector4R p4[30],
+ double mp )
+
+// N body phase space routine. Send parent with
+// daughters already defined ( Number and masses )
+// Returns four vectors in parent frame.
+
+{
+
+ double energy, p3, alpha, beta;
+
+ if ( ndaug == 1 ) {
+ p4[0].set(mass[0],0.0,0.0,0.0);
+ return 1.0;
+ }
+
+
+ if ( ndaug == 2 ) {
+
+ //Two body phase space
+
+ energy = ( mp*mp + mass[0]*mass[0] -
+ mass[1]*mass[1] ) / ( 2.0 * mp );
+
+ p3 = sqrt( energy*energy - mass[0]*mass[0] );
+
+ p4[0].set( energy, 0.0, 0.0, p3 );
+
+ energy = mp - energy;
+ p3 = -1.0*p3;
+ p4[1].set( energy, 0.0, 0.0, p3 );
+
+ //Now rotate four vectors.
+
+ alpha = EvtRandom::Flat( EvtConst::twoPi );
+ beta = acos(EvtRandom::Flat( -1.0, 1.0 ));
+
+ p4[0].applyRotateEuler( alpha, beta, -alpha );
+ p4[1].applyRotateEuler( alpha, beta, -alpha );
+
+ return 1.0;
+ }
+
+ if ( ndaug != 2 ) {
+
+ double wtmax=0.0;
+ double pm[5][30],to[4],pmin,pmax,psum,rnd[30];
+ double ran,wt,pa,costh,sinth,phi,p[4][30],be[4],bep,temp;
+ int i,il,ilr,i1,il1u,il1,il2r,ilu;
+ int il2=0;
+
+ for(i=0;i<ndaug;i++){
+ pm[4][i]=0.0;
+ rnd[i]=0.0;
+ }
+
+ pm[0][0]=mp;
+ pm[1][0]=0.0;
+ pm[2][0]=0.0;
+ pm[3][0]=0.0;
+ pm[4][0]=mp;
+
+ to[0]=mp;
+ to[1]=0.0;
+ to[2]=0.0;
+ to[3]=0.0;
+
+ psum=0.0;
+ for(i=1;i<ndaug+1;i++){
+ psum=psum+mass[i-1];
+ }
+
+ pm[4][ndaug-1]=mass[ndaug-1];
+
+ switch (ndaug) {
+
+ case 1:
+ wtmax=1.0/16.0;
+ break;
+ case 2:
+ wtmax=1.0/150.0;
+ break;
+ case 3:
+ wtmax=1.0/2.0;
+ break;
+ case 4:
+ wtmax=1.0/5.0;
+ break;
+ case 5:
+ wtmax=1.0/15.0;
+ break;
+ case 6:
+ wtmax=1.0/15.0;
+ break;
+ case 7:
+ wtmax=1.0/15.0;
+ break;
+ case 8:
+ wtmax=1.0/15.0;
+ break;
+ case 9:
+ wtmax=1.0/15.0;
+ break;
+ case 10:
+ wtmax=1.0/15.0;
+ break;
+ case 11:
+ wtmax=1.0/15.0;
+ break;
+ case 12:
+ wtmax=1.0/15.0;
+ break;
+ case 13:
+ wtmax=1.0/15.0;
+ break;
+ case 14:
+ wtmax=1.0/15.0;
+ break;
+ case 15:
+ wtmax=1.0/15.0;
+ break;
+ default:
+ report(ERROR,"EvtGen") << "too many daughters for phase space..." << ndaug << " "<< mp <<endl;;
+ break;
+ }
+
+ pmax=mp-psum+mass[ndaug-1];
+
+ pmin=0.0;
+
+ for(ilr=2;ilr<ndaug+1;ilr++){
+ il=ndaug+1-ilr;
+ pmax=pmax+mass[il-1];
+ pmin=pmin+mass[il+1-1];
+ wtmax=wtmax*EvtPawt(pmax,pmin,mass[il-1]);
+ }
+
+ do{
+
+ rnd[0]=1.0;
+ il1u=ndaug-1;
+
+ for (il1=2;il1<il1u+1;il1++){
+ ran=EvtRandom::Flat();
+ for (il2r=2;il2r<il1+1;il2r++){
+ il2=il1+1-il2r;
+ if (ran<=rnd[il2-1]) goto two39;
+ rnd[il2+1-1]=rnd[il2-1];
+ }
+ two39:
+ rnd[il2+1-1]=ran;
+ }
+
+ rnd[ndaug-1]=0.0;
+ wt=1.0;
+ for(ilr=2;ilr<ndaug+1;ilr++){
+ il=ndaug+1-ilr;
+ pm[4][il-1]=pm[4][il+1-1]+mass[il-1]+
+ (rnd[il-1]-rnd[il+1-1])*(mp-psum);
+ wt=wt*EvtPawt(pm[4][il-1],pm[4][il+1-1],mass[il-1]);
+ }
+ if (wt>wtmax) {
+ report(ERROR,"EvtGen") << "wtmax to small in EvtPhaseSpace with "
+ << ndaug <<" daughters"<<endl;;
+ }
+ } while (wt<EvtRandom::Flat(wtmax));
+
+ ilu=ndaug-1;
+
+ for (il=1;il<ilu+1;il++){
+ pa=EvtPawt(pm[4][il-1],pm[4][il+1-1],mass[il-1]);
+ costh=EvtRandom::Flat(-1.0,1.0);
+ sinth=sqrt(1.0-costh*costh);
+ phi=EvtRandom::Flat(EvtConst::twoPi);
+ p[1][il-1]=pa*sinth*cos(phi);
+ p[2][il-1]=pa*sinth*sin(phi);
+ p[3][il-1]=pa*costh;
+ pm[1][il+1-1]=-p[1][il-1];
+ pm[2][il+1-1]=-p[2][il-1];
+ pm[3][il+1-1]=-p[3][il-1];
+ p[0][il-1]=sqrt(pa*pa+mass[il-1]*mass[il-1]);
+ pm[0][il+1-1]=sqrt(pa*pa+pm[4][il+1-1]*pm[4][il+1-1]);
+ }
+
+ p[0][ndaug-1]=pm[0][ndaug-1];
+ p[1][ndaug-1]=pm[1][ndaug-1];
+ p[2][ndaug-1]=pm[2][ndaug-1];
+ p[3][ndaug-1]=pm[3][ndaug-1];
+
+ for (ilr=2;ilr<ndaug+1;ilr++){
+ il=ndaug+1-ilr;
+ be[0]=pm[0][il-1]/pm[4][il-1];
+ be[1]=pm[1][il-1]/pm[4][il-1];
+ be[2]=pm[2][il-1]/pm[4][il-1];
+ be[3]=pm[3][il-1]/pm[4][il-1];
+
+ for (i1=il;i1<ndaug+1;i1++){
+ bep=be[1]*p[1][i1-1]+be[2]*p[2][i1-1]+
+ be[3]*p[3][i1-1]+be[0]*p[0][i1-1];
+ temp=(p[0][i1-1]+bep)/(be[0]+1.0);
+ p[1][i1-1]=p[1][i1-1]+temp*be[1];
+ p[2][i1-1]=p[2][i1-1]+temp*be[2];
+ p[3][i1-1]=p[3][i1-1]+temp*be[3];
+ p[0][i1-1]=bep;
+
+ }
+ }
+
+ for (ilr=0;ilr<ndaug;ilr++){
+ p4[ilr].set(p[0][ilr],p[1][ilr],p[2][ilr],p[3][ilr]);
+ }
+
+ return 1.0;
+ }
+
+ return 1.0;
+
+}
+
+
+double EvtGenKine::PhaseSpacePole(double M, double m1, double m2, double m3,
+ double a,EvtVector4R p4[10])
+
+// generate kinematics for 3 body decays, pole for the m1,m2 mass.
+
+{
+
+ //f1 = 1 (phasespace)
+ //f2 = a*(1/m12sq)^2
+
+ double m12sqmax=(M-m3)*(M-m3);
+ double m12sqmin=(m1+m2)*(m1+m2);
+
+ double m13sqmax=(M-m2)*(M-m2);
+ double m13sqmin=(m1+m3)*(m1+m3);
+
+ double v1=(m12sqmax-m12sqmin)*(m13sqmax-m13sqmin);
+ double v2= a*(1.0/m12sqmin-1.0/m12sqmax)*(m13sqmax-m13sqmin);
+
+ double m12sq,m13sq;
+
+ double r=v1/(v1+v2);
+
+ double m13min,m13max;
+
+ do{
+
+ m13sq=EvtRandom::Flat(m13sqmin,m13sqmax);
+
+ if (r>EvtRandom::Flat()){
+ m12sq=EvtRandom::Flat(m12sqmin,m12sqmax);
+ }
+ else{
+ m12sq=1.0/(1.0/m12sqmin-EvtRandom::Flat()*(1.0/m12sqmin-1.0/m12sqmax));
+ }
+
+ //kinematically allowed?
+ double E3star=(M*M-m12sq-m3*m3)/sqrt(4*m12sq);
+ double E1star=(m12sq+m1*m1-m2*m2)/sqrt(4*m12sq);
+ double p3star=sqrt(E3star*E3star-m3*m3);
+ double p1star=sqrt(E1star*E1star-m1*m1);
+ m13max=(E3star+E1star)*(E3star+E1star)-
+ (p3star-p1star)*(p3star-p1star);
+ m13min=(E3star+E1star)*(E3star+E1star)-
+ (p3star+p1star)*(p3star+p1star);
+
+ }while(m13sq<m13min||m13sq>m13max);
+
+
+ double E2=(M*M+m2*m2-m13sq)/(2.0*M);
+ double E3=(M*M+m3*m3-m12sq)/(2.0*M);
+ double E1=M-E2-E3;
+ double p1mom=sqrt(E1*E1-m1*m1);
+ double p3mom=sqrt(E3*E3-m3*m3);
+ double cost13=(2.0*E1*E3+m1*m1+m3*m3-m13sq)/(2.0*p1mom*p3mom);
+
+ //report(INFO,"EvtGen") << m13sq << endl;
+ //report(INFO,"EvtGen") << m12sq << endl;
+ //report(INFO,"EvtGen") << E1 << endl;
+ //report(INFO,"EvtGen") << E2 << endl;
+ //report(INFO,"EvtGen") << E3 << endl;
+ //report(INFO,"EvtGen") << p1mom << endl;
+ //report(INFO,"EvtGen") << p3mom << endl;
+ //report(INFO,"EvtGen") << cost13 << endl;
+
+
+ p4[2].set(E3,0.0,0.0,p3mom);
+ p4[0].set(E1,p1mom*sqrt(1.0-cost13*cost13),0.0,p1mom*cost13);
+ p4[1].set(E2,-p1mom*sqrt(1.0-cost13*cost13),0.0,-p1mom*cost13-p3mom);
+
+ //report(INFO,"EvtGen") << "p4:"<<p4[0]<<p4[1]<<p4[2]<<endl;
+
+ double alpha = EvtRandom::Flat( EvtConst::twoPi );
+ double beta = acos(EvtRandom::Flat( -1.0, 1.0 ));
+ double gamma = EvtRandom::Flat( EvtConst::twoPi );
+
+ p4[0].applyRotateEuler( alpha, beta, gamma );
+ p4[1].applyRotateEuler( alpha, beta, gamma );
+ p4[2].applyRotateEuler( alpha, beta, gamma );
+
+ return 1.0+a/(m12sq*m12sq);
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtGenKine.hh
+//
+// Description:Tools for generating phase space.
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+//
+//------------------------------------------------------------------------
+#ifndef EVTGENKINE_HH
+#define EVTGENKINE_HH
+
+class EvtVector4R;
+
+class EvtGenKine{
+
+public:
+
+static double PhaseSpace( int ndaug, double mass[30],
+ EvtVector4R p4[30], double mp );
+
+static double PhaseSpacePole(double M, double m1, double m2, double m3,
+ double a,EvtVector4R p4[10]);
+
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtHighSpinParticle.cc
+//
+// Description: Class to describe particles with spin>2.
+//
+// Modification history:
+//
+// RYD August 8, 2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtHighSpinParticle.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtSpinDensity.hh"
+#include "EvtGenBase/EvtdFunction.hh"
+
+
+EvtHighSpinParticle::~EvtHighSpinParticle() {}
+
+
+void EvtHighSpinParticle::init(EvtId id,const EvtVector4R& p4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(id);
+
+ setLifetime();
+
+}
+
+EvtSpinDensity EvtHighSpinParticle::rotateToHelicityBasis() const{
+
+ int n=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getId()));
+
+ EvtSpinDensity R;
+ R.setDiag(n);
+
+ return R;
+
+}
+
+
+
+EvtSpinDensity EvtHighSpinParticle::rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const{
+
+ int i,j;
+
+ int n=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getId()));
+
+ EvtSpinDensity R;
+
+ R.setDim(n);
+
+ int J2=EvtSpinType::getSpin2(EvtPDL::getSpinType(getId()));
+
+ assert(n==J2+1);
+
+ int *lambda2;
+
+ lambda2=new int[J2+1];
+
+ for(i=0;i<J2+1;i++){
+ lambda2[i]=J2-i*2;
+ }
+
+
+ for(i=0;i<n;i++){
+ for(j=0;j<n;j++){
+ R.set(i,j,EvtdFunction::d(J2,lambda2[j],lambda2[i],beta)*
+ exp(EvtComplex(0.0,0.5*(alpha*lambda2[i]-gamma*lambda2[j]))));
+ }
+ }
+
+ delete [] lambda2;
+
+ return R;
+
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtGen/EvtHighSpinParticle.hh
+//
+// Description:Class to describe particle with spin>2.
+//
+// Modification history:
+//
+// RYD August 8, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTHIGHSPINPARTICLE_HH
+#define EVTHIGHSPINPARTICLE_HH
+
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtId;
+
+class EvtHighSpinParticle: public EvtParticle {
+
+public:
+
+ EvtHighSpinParticle() {}
+ virtual ~EvtHighSpinParticle();
+
+ void init(EvtId id,const EvtVector4R& p);
+
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+
+private:
+
+ EvtHighSpinParticle(const EvtHighSpinParticle& highSpin);
+ EvtHighSpinParticle& operator=(const EvtHighSpinParticle& highSpin);
+
+};
+
+#endif
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtId.cc
+//
+// Description: Class for particle Id used in EvtGen.
+//
+// Modification history:
+//
+// RYD May 26, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include <iostream>
+using std::ostream;
+
+
+ostream& operator<<(ostream& s, const EvtId& id){
+
+ s<<"(Id="<<id._id<<" Alias="<<id._alias<<")";
+
+ return s;
+
+}
+
+
+int EvtId::isConjugate(const EvtId & id) const {
+ return EvtPDL::getStdHep(*this) == - EvtPDL::getStdHep(id);
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtId.hh
+//
+// Description:Class for particle Id used in EvtGen.
+//
+// Modification history:
+//
+// DJL/RYD May 26, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTID_HH
+#define EVTID_HH
+
+#include <iostream>
+//class ostream;
+
+class EvtId {
+
+public:
+
+ //need a default constructor
+ EvtId():_id(-1),_alias(-1){}
+
+ EvtId(int id,int alias):_id(id),_alias(alias){}
+
+ friend std::ostream& operator<<(std::ostream& s, const EvtId& v);
+
+ int operator==(const EvtId& id) const { return _id==id._id; }
+ int operator!=(const EvtId& id) const { return _id!=id._id; }
+ int isConjugate(const EvtId & id) const;
+
+ int getId() const { return _id;}
+
+ int getAlias() const { return _alias;}
+
+ int isAlias() const { return _id!=_alias;}
+
+private:
+
+ //particle number 0..n. The order of particles are determined
+ //by the order in pdt.table
+ int _id;
+ //if the particle is an alias to another particle alias!=id
+ //The only place where the alias should be used is for looking
+ //up decays in the decay table.
+ int _alias;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtId.cc
+//
+// Description: Class for particle Id used in EvtGen.
+//
+// Modification history:
+//
+// DJL Jan 4, 2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtIdSet.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include <iostream>
+#include <string>
+
+EvtIdSet::EvtIdSet(const EvtId name1) {
+ _numInList=1;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+}
+
+EvtIdSet::EvtIdSet(const std::string name1){
+ _numInList=1;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2){
+ _numInList=2;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2){
+ _numInList=2;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3){
+ _numInList=3;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3){
+ _numInList=3;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4){
+ _numInList=4;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4){
+ _numInList=4;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5){
+ _numInList=5;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5){
+ _numInList=5;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6){
+ _numInList=6;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+ _list[5]=name6;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6){
+ _numInList=6;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+ _list[5]=EvtPDL::getId(name6);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7){
+ _numInList=7;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+ _list[5]=name6;
+ _list[6]=name7;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7){
+ _numInList=7;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+ _list[5]=EvtPDL::getId(name6);
+ _list[6]=EvtPDL::getId(name7);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8){
+ _numInList=8;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+ _list[5]=name6;
+ _list[6]=name7;
+ _list[7]=name8;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8){
+ _numInList=8;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+ _list[5]=EvtPDL::getId(name6);
+ _list[6]=EvtPDL::getId(name7);
+ _list[7]=EvtPDL::getId(name8);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9){
+ _numInList=9;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+ _list[5]=name6;
+ _list[6]=name7;
+ _list[7]=name8;
+ _list[8]=name9;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9){
+ _numInList=9;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+ _list[5]=EvtPDL::getId(name6);
+ _list[6]=EvtPDL::getId(name7);
+ _list[7]=EvtPDL::getId(name8);
+ _list[8]=EvtPDL::getId(name9);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9,
+ const EvtId name10){
+ _numInList=10;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+ _list[5]=name6;
+ _list[6]=name7;
+ _list[7]=name8;
+ _list[8]=name9;
+ _list[9]=name10;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9,
+ const std::string name10){
+ _numInList=10;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+ _list[5]=EvtPDL::getId(name6);
+ _list[6]=EvtPDL::getId(name7);
+ _list[7]=EvtPDL::getId(name8);
+ _list[8]=EvtPDL::getId(name9);
+ _list[9]=EvtPDL::getId(name10);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9,
+ const EvtId name10,
+ const EvtId name11){
+ _numInList=11;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+ _list[5]=name6;
+ _list[6]=name7;
+ _list[7]=name8;
+ _list[8]=name9;
+ _list[9]=name10;
+ _list[10]=name11;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9,
+ const std::string name10,
+ const std::string name11){
+ _numInList=11;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+ _list[5]=EvtPDL::getId(name6);
+ _list[6]=EvtPDL::getId(name7);
+ _list[7]=EvtPDL::getId(name8);
+ _list[8]=EvtPDL::getId(name9);
+ _list[9]=EvtPDL::getId(name10);
+ _list[10]=EvtPDL::getId(name11);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9,
+ const EvtId name10,
+ const EvtId name11,
+ const EvtId name12){
+ _numInList=12;
+ _list=new EvtId[_numInList];
+
+ _list[0]=name1;
+ _list[1]=name2;
+ _list[2]=name3;
+ _list[3]=name4;
+ _list[4]=name5;
+ _list[5]=name6;
+ _list[6]=name7;
+ _list[7]=name8;
+ _list[8]=name9;
+ _list[9]=name10;
+ _list[10]=name11;
+ _list[11]=name12;
+}
+
+
+EvtIdSet::EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9,
+ const std::string name10,
+ const std::string name11,
+ const std::string name12){
+ _numInList=12;
+ _list=new EvtId[_numInList];
+
+ _list[0]=EvtPDL::getId(name1);
+ _list[1]=EvtPDL::getId(name2);
+ _list[2]=EvtPDL::getId(name3);
+ _list[3]=EvtPDL::getId(name4);
+ _list[4]=EvtPDL::getId(name5);
+ _list[5]=EvtPDL::getId(name6);
+ _list[6]=EvtPDL::getId(name7);
+ _list[7]=EvtPDL::getId(name8);
+ _list[8]=EvtPDL::getId(name9);
+ _list[9]=EvtPDL::getId(name10);
+ _list[10]=EvtPDL::getId(name11);
+ _list[11]=EvtPDL::getId(name12);
+}
+
+
+EvtIdSet::EvtIdSet(const EvtIdSet& set1){
+
+ _numInList=set1.sizeOfSet();
+ _list=new EvtId[_numInList];
+ int i;
+ for (i=0;i<_numInList;i++){
+ _list[i]=set1.getElem(i);
+ }
+
+}
+EvtIdSet::EvtIdSet(const EvtIdSet& set1, const EvtIdSet& set2){
+
+ _numInList=set1.sizeOfSet();
+ _list=new EvtId[_numInList];
+ int i;
+ for (i=0;i<_numInList;i++){
+ _list[i]=set1.getElem(i);
+ }
+ //then just append the second list.
+ this->append(set2);
+
+}
+
+int EvtIdSet::contains(const EvtId id){
+
+ int i;
+ for (i=0;i<_numInList;i++){
+ if ( _list[i] == id ) return 1;
+ }
+
+ return 0;
+}
+
+int EvtIdSet::contains(const std::string nm){
+
+ int i;
+ for (i=0;i<_numInList;i++){
+ if ( _list[i] == EvtPDL::getId(nm) ) return 1;
+ }
+
+ return 0;
+}
+
+
+void EvtIdSet::append(const EvtIdSet set1){
+
+ int combLen=_numInList+set1.sizeOfSet();
+ int uniqueLen=0;
+ EvtId *combSet;
+
+ combSet=new EvtId[combLen];
+
+ int i;
+ for (i=0;i<combLen;i++){
+ if ( i>=_numInList ) {
+
+ //check that there are no overlaps between lists
+ int j;
+ int isUnique=1;
+ for (j=0;j<_numInList;j++){
+ if ( _list[j]==set1.getElem(i-_numInList) ) {
+ isUnique=0;
+ }
+ }
+ if ( isUnique==1 ) {
+ combSet[uniqueLen]=set1.getElem(i-_numInList);
+ uniqueLen+=1;
+ }
+ }
+ else{
+ combSet[uniqueLen]=_list[i];
+ uniqueLen+=1;
+ }
+
+ delete _list;
+ _list=new EvtId[uniqueLen];
+
+ _numInList=uniqueLen;
+ for (i=0;i<_numInList;i++){
+ _list[i]=combSet[i];
+ }
+
+ delete combSet;
+
+ }
+}
+
+int EvtIdSet::sizeOfSet() const { return _numInList;}
+
+EvtId EvtIdSet::getElem(const int i) const { return _list[i];}
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtId.hh
+//
+// Description:Class for particle Id used in EvtGen.
+//
+// Modification history:
+//
+// DJL/RYD Jan 5,2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTIDSET_HH
+#define EVTIDSET_HH
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+class EvtId;
+
+class EvtIdSet {
+
+public:
+
+ //need a default constructor
+
+ EvtIdSet(const EvtId name1);
+ EvtIdSet(const std::string name1);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9,
+ const EvtId name10);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9,
+ const std::string name10);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9,
+ const EvtId name10,
+ const EvtId name11);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9,
+ const std::string name10,
+ const std::string name11);
+
+ EvtIdSet(const EvtId name1,
+ const EvtId name2,
+ const EvtId name3,
+ const EvtId name4,
+ const EvtId name5,
+ const EvtId name6,
+ const EvtId name7,
+ const EvtId name8,
+ const EvtId name9,
+ const EvtId name10,
+ const EvtId name11,
+ const EvtId name12);
+
+ EvtIdSet(const std::string name1,
+ const std::string name2,
+ const std::string name3,
+ const std::string name4,
+ const std::string name5,
+ const std::string name6,
+ const std::string name7,
+ const std::string name8,
+ const std::string name9,
+ const std::string name10,
+ const std::string name11,
+ const std::string name12);
+
+ ~EvtIdSet() { delete [] _list; }
+
+ EvtIdSet(const EvtIdSet& set1);
+ EvtIdSet(const EvtIdSet& set1, const EvtIdSet& set2);
+
+ int contains(const EvtId id);
+ int contains(const std::string id);
+
+ void append(const EvtIdSet set1);
+ int sizeOfSet() const;
+ EvtId getElem(const int i) const;
+
+private:
+
+ int _numInList;
+ EvtId *_list;
+
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtIntegPdf1D.cc,v 1.10 2004/12/21 19:58:44 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <assert.h>
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtMacros.hh"
+#include "EvtGenBase/EvtIntegPdf1D.hh"
+
+EvtIntegPdf1D::EvtIntegPdf1D(double min, double max)
+ : EvtPdf<EvtPoint1D>(), _min(min), _max(max)
+{
+ assert(min <= max);
+}
+
+EvtIntegPdf1D::EvtIntegPdf1D(const EvtIntegPdf1D& other)
+ : EvtPdf<EvtPoint1D>(other), _min(other._min), _max(other._max)
+{}
+
+EvtIntegPdf1D::~EvtIntegPdf1D()
+{}
+
+EvtValError EvtIntegPdf1D::compute_integral() const
+{
+ double x1 = pdfIntegral(_min);
+ double x2 = pdfIntegral(_max);
+ return EvtValError(x2-x1,0.);
+}
+
+
+EvtPoint1D EvtIntegPdf1D::randomPoint()
+{
+ double itgmin = pdfIntegral(_min);
+ double itgmax = pdfIntegral(_max);
+ double itgrnd = EvtRandom::Flat(itgmin,itgmax);
+
+ return EvtPoint1D(_min,_max,pdfIntegralInverse(itgrnd));
+}
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtIntegPdf1D.hh,v 1.8 2003/06/20 17:20:06 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Analytically integrable one dimensional PDF.
+
+#ifndef EVT_INTEG_PDF_1D_HH
+#define EVT_INTEG_PDF_1D_HH
+
+#include "EvtGenBase/EvtPdf.hh"
+#include "EvtGenBase/EvtPoint1D.hh"
+
+class EvtIntegPdf1D : public EvtPdf<EvtPoint1D> {
+
+public:
+
+ EvtIntegPdf1D(double min, double max);
+ EvtIntegPdf1D(const EvtIntegPdf1D&);
+ virtual ~EvtIntegPdf1D();
+
+ // Pdf integral function and its inverse to be defined in subclasses
+
+ virtual double pdfIntegral(double x) const = 0;
+ virtual double pdfIntegralInverse(double x) const = 0;
+
+ virtual EvtValError compute_integral() const;
+ virtual EvtPoint1D randomPoint();
+
+protected:
+
+ double _min;
+ double _max;
+};
+
+
+#endif
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtIntervalFlatPdf.cc,v 1.4 2004/12/21 19:58:44 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <assert.h>
+#include "EvtGenBase/EvtIntervalFlatPdf.hh"
+#include "EvtGenBase/EvtRandom.hh"
+
+EvtIntervalFlatPdf::EvtIntervalFlatPdf(double min, double max)
+ : EvtPdf<EvtPoint1D>(), _min(min), _max(max)
+{
+ assert(max >= min);
+}
+
+EvtIntervalFlatPdf::EvtIntervalFlatPdf(const EvtIntervalFlatPdf& other)
+ : EvtPdf<EvtPoint1D>(other), _min(other._min), _max(other._max)
+{}
+
+EvtIntervalFlatPdf::~EvtIntervalFlatPdf()
+{}
+
+EvtPdf<EvtPoint1D>* EvtIntervalFlatPdf::clone() const
+{
+ return new EvtIntervalFlatPdf(*this);
+}
+
+double EvtIntervalFlatPdf::pdf(const EvtPoint1D&) const
+{
+ return 1.;
+}
+
+EvtValError EvtIntervalFlatPdf::compute_integral() const
+{
+ return EvtValError(_max-_min,0.);
+}
+
+EvtPoint1D EvtIntervalFlatPdf::randomPoint()
+{
+ return EvtPoint1D(_min,_max,EvtRandom::Flat(_min,_max));
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtIntervalFlatPdf.hh,v 1.1 2003/06/20 17:20:09 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+/*
+ * Uniform PDF defined on a 1D interval.
+ */
+
+#ifndef EVT_INTERVAL_FLAT_PDF_HH
+#define EVT_INTERVAL_FLAT_PDF_HH
+
+#include <assert.h>
+#include "EvtGenBase/EvtPdf.hh"
+#include "EvtGenBase/EvtPoint1D.hh"
+
+class EvtIntervalFlatPdf : public EvtPdf<EvtPoint1D> {
+public:
+
+ EvtIntervalFlatPdf(double min, double max);
+ EvtIntervalFlatPdf(const EvtIntervalFlatPdf& other);
+ virtual ~EvtIntervalFlatPdf();
+ virtual EvtPdf<EvtPoint1D>* clone() const;
+
+ virtual EvtValError compute_integral() const;
+ virtual EvtPoint1D randomPoint();
+
+protected:
+
+ virtual double pdf(const EvtPoint1D&) const;
+
+ double _min;
+ double _max;
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtKine.cc
+//
+// Description: routines to calculate decay angles.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <math.h>
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+
+
+double EvtDecayAngle(const EvtVector4R& p,const EvtVector4R& q,
+ const EvtVector4R& d) {
+
+ double pd=p*d;
+ double pq=p*q;
+ double qd=q*d;
+ double mp2=p.mass2();
+ double mq2=q.mass2();
+ double md2=d.mass2();
+
+ double cost=(pd*mq2-pq*qd)/sqrt((pq*pq-mq2*mp2)*(qd*qd-mq2*md2));
+
+ return cost;
+
+}
+
+double EvtDecayAngleChi(const EvtVector4R& p4_p,const EvtVector4R& p4_d1,
+ const EvtVector4R& p4_d2,const EvtVector4R& p4_h1,
+ const EvtVector4R& p4_h2 ) {
+
+ EvtVector4R p4_d1p,p4_h1p,p4_h2p,p4_d2p;
+
+
+ // boost all vectors parent restframe
+
+ p4_d1p=boostTo(p4_d1,p4_p);
+ p4_d2p=boostTo(p4_d2,p4_p);
+ p4_h1p=boostTo(p4_h1,p4_p);
+ p4_h2p=boostTo(p4_h2,p4_p);
+
+
+ EvtVector4R d1_perp,d1_prime,h1_perp;
+ EvtVector4R D;
+
+ D=p4_d1p+p4_d2p;
+
+ d1_perp=p4_d1p-(D.dot(p4_d1p)/D.dot(D))*D;
+ h1_perp=p4_h1p-(D.dot(p4_h1p)/D.dot(D))*D;
+
+ // orthogonal to both D and d1_perp
+
+ d1_prime=D.cross(d1_perp);
+
+ d1_perp= d1_perp/d1_perp.d3mag();
+ d1_prime= d1_prime/d1_prime.d3mag();
+
+ double x,y;
+
+ x=d1_perp.dot(h1_perp);
+ y=d1_prime.dot(h1_perp);
+
+ double chi=atan2(y,x);
+
+ if (chi<0.0) chi+=EvtConst::twoPi;
+
+ return chi;
+
+}
+
+
+
+double EvtDecayPlaneNormalAngle(const EvtVector4R& p,const EvtVector4R& q,
+ const EvtVector4R& d1,const EvtVector4R& d2){
+
+ EvtVector4C lc=dual(directProd(d1,d2)).cont2(q);
+
+ EvtVector4R l(real(lc.get(0)),real(lc.get(1)),
+ real(lc.get(2)),real(lc.get(3)));
+
+ double pq=p*q;
+
+ return q.mass()*(p*l)/sqrt(-(pq*pq-p.mass2()*q.mass2())*l.mass2());
+
+
+}
+
+
+// Calculate phi using the given 4 vectors (all in the same frame)
+double EvtDecayAnglePhi( const EvtVector4R& z, const EvtVector4R& p, const
+ EvtVector4R& q, const EvtVector4R& d )
+{
+ double eq = (p * q) / p.mass();
+ double ed = (p * d) / p.mass();
+ double mq = q.mass();
+ double q2 = p.mag2r3(q);
+ double qd = p.dotr3(q,d);
+ double zq = p.dotr3(z,q);
+ double zd = p.dotr3(z,d);
+ double alpha = (eq - mq)/(q2 * mq) * qd - ed/mq;
+
+ double y = p.scalartripler3(z,q,d) + alpha * p.scalartripler3(z,q,q);
+ double x = (zq * (qd + alpha * q2) - q2 * (zd + alpha * zq)) / sqrt(q2);
+
+ double phi = atan2(y,x);
+
+ return phi<0 ? (phi+EvtConst::twoPi) : phi;
+}
+
+EvtComplex wignerD( int j, int m1, int m2, double phi,
+ double theta, double gamma )
+{
+
+ EvtComplex gp(0.0, -phi*m1);
+ EvtComplex gm(0.0, -gamma*m2);
+
+ return exp( gp ) * EvtdFunction::d(j, m1, m2, theta) * exp( gm );
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtKine.hh
+//
+// Description:routines to calc. decay angles.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTKINE_HH
+#define EVTKINE_HH
+
+class EvtVector4R;
+class EvtComplex;
+
+double EvtDecayAngle(const EvtVector4R&, const EvtVector4R&,
+ const EvtVector4R&);
+
+double EvtDecayAngleChi(const EvtVector4R&, const EvtVector4R&,
+ const EvtVector4R&, const EvtVector4R&,
+ const EvtVector4R& );
+
+//
+// This routine calculates the cosine of the angle between
+// the normal of the decay plane and the flight direction of particle q
+// in the parent frame.
+//
+double EvtDecayPlaneNormalAngle(const EvtVector4R& p,const EvtVector4R& q,
+ const EvtVector4R& d1,const EvtVector4R& d2);
+
+
+
+// Added by AJB
+//
+// Calculate phi (between 0 and 2 pi) of the daughter given the 4-momentum of
+// the grandparent, parent, resonance and the daughter. g, p, q and d need to
+// be in the same rest frame. Note that for the first level of the tree there
+// is no grandparent and thus <0,0,0,1> should be passed in for g. When there
+// is no parent the angles need to be calculated by simply by calculating polar
+// and azymuthal angles in the rest frame of the resonance (since this will
+// generally be the root particle and is generally at rest the polar and
+// azymuthal angels can simply be calculated.
+//
+double EvtDecayAnglePhi( const EvtVector4R& g, const EvtVector4R& p,
+ const EvtVector4R& q, const EvtVector4R& d );
+
+// Wigner big-D function in Jackson convention
+//
+// XXX NOTE XXX
+// - EvtDecayAngle returns the cos \theta and EvtdFunction requires theta
+// - In EvtdFunction j m1 and m2 are really 2 * j, 2 * m1, 2*m2 to deal with
+// spin 1/2 particles
+//
+EvtComplex wignerD( int j, int m1, int m2, double phi, double theta,
+ double gamma );
+
+
+#endif
+
+
+
+
+
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author: Denis Dujmic, ddujmic@slac.stanford.edu
+ *
+ * Copyright (C) 2005 SLAC
+ *******************************************************************************/
+
+#include <assert.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtLASSAmp.hh"
+#include "EvtGenBase/EvtDalitzCoord.hh"
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+using std::endl;
+using EvtCyclic3::Index;
+using EvtCyclic3::Pair;
+
+
+EvtLASSAmp::EvtLASSAmp(EvtDalitzPlot *dp,
+ EvtCyclic3::Pair pair,
+ double m0, double g0,
+ double a, double r, double cutoff) :
+ EvtAmplitude<EvtDalitzPoint>(),
+ _pair(pair),
+ _m0(m0),
+ _g0(g0),
+ _r(r),
+ _a(a),
+ _cutoff(cutoff)
+{
+ _dalitzSpace = dp;
+ double ma = dp->m( first(pair) );
+ double mb = dp->m( second(pair) );
+ double E0a = 0.5 * (_m0*_m0 + ma*ma - mb*mb) / _m0;
+ _q0 = E0a*E0a - ma*ma;
+ assert(_q0>0);
+ _q0 = sqrt(_q0);
+}
+
+
+
+EvtLASSAmp::EvtLASSAmp(const EvtLASSAmp& other) :
+ EvtAmplitude<EvtDalitzPoint>(other),
+ _pair(other._pair),
+ _m0(other._m0),
+ _g0(other._g0),
+ _q0(other._q0),
+ _r(other._r),
+ _a(other._a),
+ _cutoff(other._cutoff)
+{
+ _dalitzSpace = other._dalitzSpace;
+}
+
+
+EvtLASSAmp::~EvtLASSAmp() {}
+
+
+
+EvtComplex
+EvtLASSAmp::amplitude(const EvtDalitzPoint &dalitzPoint) const {
+
+ /*
+
+ Parameterization of Kpi S-wave using LASS scattering data.
+ - Nucl.Phys.B296, 493 (1988)
+ - W.Dunwoodie,http://www.slac.stanford.edu/~wmd/kpi_swave/kpi_swave_fit.note
+
+ m m0^2*Gamma0/q0
+ ----------------- + exp(2*i*delta) * --------------------------------
+ q*cot(delta)-i*q m0^2-m^2 - i*m0*Gamma0*q/m*m0/q0
+
+
+ where q = momentum of K or pi in Kpi system
+
+ q*cot(delta) = 1/ a + 1/2 * [ r * q**2 ]
+
+ a = scattering length
+
+ r = effective range
+
+ */
+
+ double s = dalitzPoint.q(_pair);
+ double m = sqrt(s);
+ double q = dalitzPoint.p(first(_pair), _pair);
+
+ // elastic scattering
+ double qcotd = 1./_a + 0.5*_r*q*q;
+ EvtComplex lass_elastic = m<_cutoff ? m / ( qcotd - EvtComplex(0,q) ) : 0;
+
+ // relative phase
+ double cosd=1;
+ double sind=0;
+ if (q>0) {
+ cosd = qcotd*qcotd/(q*q);
+ cosd = sqrt( cosd/(1+cosd) );
+ sind = sqrt( 1-cosd*cosd );
+ }
+ EvtComplex lass_phase( cosd, sind);
+ lass_phase *= lass_phase;
+
+ // K*(1430)
+ double gamma = _g0 * q/m * _m0/_q0;
+ EvtComplex lass_Kstar = (_m0*_m0)*(_g0/_q0)/(_m0*_m0-m*m-EvtComplex(0.,_m0*gamma));
+
+ return lass_elastic + lass_phase * lass_Kstar;
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author: Denis Dujmic, ddujmic@slac.stanford.edu
+ *
+ * Copyright (C) 2005 SLAC
+ *******************************************************************************/
+
+#ifndef EVT_LASS_AMP_HH
+#define EVT_LASS_AMP_HH
+
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+#include "EvtGenBase/EvtAmplitude.hh"
+
+class EvtComplex;
+
+
+
+class EvtLASSAmp : public EvtAmplitude<EvtDalitzPoint> {
+
+public:
+
+ EvtLASSAmp( EvtDalitzPlot *dp,
+ EvtCyclic3::Pair pair,
+ double m0, double g0,
+ double a, double r, double cutoff );
+
+ EvtLASSAmp(const EvtLASSAmp& other);
+
+ ~EvtLASSAmp();
+
+ virtual EvtComplex amplitude(const EvtDalitzPoint& p) const;
+
+ virtual EvtAmplitude<EvtDalitzPoint>* clone() const
+ { return new EvtLASSAmp(*this); }
+
+private:
+
+ EvtDalitzPlot *_dalitzSpace;
+
+ EvtCyclic3::Pair _pair;
+
+ double _m0;
+ double _g0;
+ double _q0;
+ double _r;
+ double _a;
+ double _cutoff;
+
+};
+
+#endif
+
+
+
+
+
+
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtMBreitWigner.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <stdlib.h>
+
+using std::endl;
+
+EvtMBreitWigner::EvtMBreitWigner( const EvtId& id, const vector<string>& args )
+{
+ if( args.size() != 0 ) {
+ report(ERROR, "EvtGen")<<"Unknown input arguments passed in to lineshape."<<endl;
+ ::abort();
+ }
+
+ _id = id;
+ _width = EvtPDL::getWidth( id );
+ _resmass = EvtPDL::getMeanMass( id );
+}
+
+EvtComplex EvtMBreitWigner::shape( const vector<EvtVector4R>& product ) const
+{
+ static EvtComplex I(0.0, 1.0);
+ double mass = _node->get4vector(product).mass();
+
+ return sqrt(_width/( EvtConst::twoPi )) * 1/( mass - _resmass - I * _width/2 );
+}
+
+
+EvtMLineShape * EvtMBreitWigner::duplicate() const
+{
+ vector<string> args;
+ EvtMLineShape* tmp=new EvtMBreitWigner( _id, args );
+ return tmp;
+}
+
--- /dev/null
+#ifndef __EVTMBREITWIGNER_HH__
+#define __EVTMBREITWIGNER_HH__
+
+#include "EvtGenBase/EvtMRes.hh"
+
+class EvtMBreitWigner : public EvtMLineShape {
+
+ public:
+ EvtMBreitWigner( const EvtId& id, const vector<string>& args );
+ ~EvtMBreitWigner( ) {};
+
+ EvtComplex shape( const vector<EvtVector4R>& product ) const;
+
+ EvtMLineShape * duplicate() const;
+
+ private:
+ EvtId _id;
+
+ double _width, _resmass;
+};
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtMHelAmp.hh"
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <stdlib.h>
+
+using std::endl;
+
+EvtMHelAmp::EvtMHelAmp( const EvtId& id, EvtMLineShape * lineshape,
+ const vector<EvtMNode* >& children, const vector<EvtComplex>& elem )
+{
+ _id = id;
+ _twospin = EvtSpinType::getSpin2( EvtPDL::getSpinType( id ) );
+ _parent = NULL;
+ _lineshape = lineshape;
+
+ _elem = elem;
+
+ vector<EvtSpinType::spintype> type;
+ for(size_t i=0; i<children.size(); ++i ) {
+ _children.push_back( children[i] );
+ type.push_back( children[i]->getspintype() );
+ const vector<int> &res = children[i]->getresonance();
+ for(size_t j=0; j<res.size(); ++j )
+ _resonance.push_back( res[j] );
+ children[i]->setparent( this );
+ }
+
+ // XXX New code - bugs could appear here XXX
+ _amp = EvtSpinAmp( type );
+ vector<int> index = _amp.iterinit();
+ size_t i = 0;
+ do {
+ if( !_amp.allowed(index) )
+ _amp( index ) = 0.0;
+ else if( abs(index[0] - index[1]) > _twospin )
+ _amp( index ) = 0.0;
+ else {
+ _amp( index ) = elem[i];
+ ++i;
+ }
+ } while( _amp.iterate( index ) );
+ if(elem.size() != i) {
+ report(ERROR,"EvtGen")
+ <<"Wrong number of elements input in helicity amplitude."<<endl;
+ ::abort();
+ }
+
+ if( children.size() > 2 ) {
+ report(ERROR,"EvtGen")
+ <<"Helicity amplitude formalism can only handle two body resonances"
+ <<endl;
+ ::abort();
+ }
+}
+
+EvtSpinAmp EvtMHelAmp::amplitude( const vector<EvtVector4R> &
+ product ) const
+{
+ EvtVector4R d = _children[0]->get4vector(product);
+ double phi, theta;
+
+ if( _parent == NULL ) {
+
+ // This means that we're calculating the first level and we need to just
+ // calculate the polar and azymuthal angles daughters in rest frame of
+ // this (root) particle (this is automatic).
+ phi = atan2( d.get(1), d.get(2) );
+ theta = acos( d.get(3)/d.d3mag() );
+
+ } else {
+
+ // We have parents therefore calculate things in correct coordinate
+ // system
+ EvtVector4R p = _parent->get4vector(product);
+ EvtVector4R q = get4vector(product);
+
+ // See if we have a grandparent - if no then the z-axis is defined by
+ // the z-axis of the root particle
+ EvtVector4R g = _parent->getparent()==NULL ?
+ EvtVector4R(0.0, 0.0, 0.0, 1.0) :
+ _parent->getparent()->get4vector(product);
+
+ theta = acos(EvtDecayAngle(p, q, d));
+ phi = EvtDecayAnglePhi( g, p, q, d );
+
+ }
+
+ vector<EvtSpinType::spintype> types( 3 );
+ types[0] = getspintype();
+ types[1] = _children[0]->getspintype();
+ types[2] = _children[1]->getspintype();
+ EvtSpinAmp amp( types, EvtComplex(0.0, 0.0) );
+ vector<int> index = amp.iterallowedinit();
+
+ do {
+ if( abs(index[1]-index[2]) > _twospin ) continue;
+ amp(index) +=
+ conj(wignerD(_twospin,index[0],index[1]-index[2],phi,theta,0.0)) *
+ _amp(index[1],index[2]);
+ } while(amp.iterateallowed(index));
+
+ EvtSpinAmp amp0 = _children[0]->amplitude(product);
+ EvtSpinAmp amp1 = _children[1]->amplitude(product);
+
+ amp.extcont( amp0, 1, 0 );
+ amp.extcont( amp1, 1, 0 );
+
+ amp *= sqrt( ( _twospin + 1 ) / ( 2 * EvtConst::twoPi ) ) *
+ _children[0]->line(product) * _children[1]->line(product);
+
+ return amp;
+}
+
+EvtMNode * EvtMHelAmp::duplicate() const
+{
+ vector<EvtMNode *> children;
+
+ for(size_t i=0; i<_children.size(); ++i ) {
+ children.push_back( _children[i]->duplicate() );
+ }
+
+ EvtMLineShape * lineshape = _lineshape->duplicate();
+ EvtMHelAmp * ret = new EvtMHelAmp( _id, lineshape, children, _elem );
+ lineshape->setres( ret );
+
+ return ret;
+}
--- /dev/null
+#ifndef __EVTMHELAMP_HH__
+#define __EVTMHELAMP_HH__
+
+#include "EvtGenBase/EvtMRes.hh"
+
+class EvtMHelAmp : public EvtMRes {
+
+ public:
+
+ EvtMHelAmp( const EvtId& id, EvtMLineShape *, const
+ vector<EvtMNode * >&, const vector<EvtComplex>& );
+ virtual ~EvtMHelAmp() {};
+
+ EvtSpinAmp amplitude( const vector<EvtVector4R>& product )
+ const;
+
+ EvtMNode * duplicate() const;
+
+ private:
+
+ vector<EvtComplex> _elem;
+};
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtMNode.hh"
+
+EvtVector4R EvtMNode::get4vector( const vector<EvtVector4R> &product )
+ const
+{
+
+ EvtVector4R res(0.0, 0.0, 0.0, 0.0);
+ vector<int>::const_iterator iter;
+
+ for( iter = _resonance.begin(); iter != _resonance.end(); ++iter )
+ res += product[ *iter ];
+
+ return res;
+
+}
--- /dev/null
+#ifndef __EVTMNODE_HH__
+#define __EVTMNODE_HH__
+
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPDL.hh"
+
+#include "EvtGenBase/EvtSymTable.hh"
+#include "EvtGenBase/EvtSpinAmp.hh"
+
+#include <vector>
+using std::vector;
+
+#include <string>
+using std::string;
+
+class EvtMNode {
+
+ public:
+
+ EvtMNode() {}
+ virtual ~EvtMNode() {};
+
+ // calculate the amplitude associated event this->children return a
+ // vector of the form A_{\lambda this} and sum over allowed angular
+ // momenta of the children
+ virtual EvtSpinAmp amplitude( const vector<EvtVector4R>
+ &product ) const = 0;
+
+ // get the 4 vector associated with this node
+ EvtVector4R get4vector( const vector<EvtVector4R> &product ) const;
+
+ // get twice the spin of the particle
+ int getspin() const { return _twospin; }
+ EvtSpinType::spintype getspintype() const { return EvtPDL::getSpinType( _id ); }
+
+ // get the id of this node
+ EvtId getid() const { return _id; }
+
+ // return which particles this is a combination of
+ const vector<int> & getresonance() const { return _resonance; }
+
+ void setparent( EvtMNode * parent ) { _parent = parent; }
+ EvtMNode * getparent() const { return _parent; }
+
+ // get the number of children that this node has
+ virtual int getnchild() const = 0;
+
+ // return the value of the resonance shape
+ virtual EvtComplex line( const vector<EvtVector4R>& product ) const=0;
+
+ // return a pointer node
+ virtual EvtMNode * duplicate() const=0;
+ protected:
+
+ // store the EvtId of the particle (just in case we need it to access
+ // further informatoin about it)
+ EvtId _id;
+
+ // store TWICE the spin of this resonance (this is to deal with spin 1/2
+ int _twospin;
+
+ // store the particles that form this resonance, this should match up
+ // with the child nodes from below, and is calculated internally
+ vector<int> _resonance;
+
+ // store the parent node of this one
+ EvtMNode * _parent;
+
+};
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtMParticle.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+
+EvtMParticle::EvtMParticle( int label, const EvtId& id )
+{
+ _id = id;
+ _twospin = EvtSpinType::getSpin2( EvtPDL::getSpinType( id ) );
+ _resonance.push_back( label );
+}
+
+EvtSpinAmp EvtMParticle::amplitude( const vector<EvtVector4R> &product) const
+{
+ vector<EvtSpinType::spintype> types( 2, getspintype() );
+ EvtSpinAmp amp( types, EvtComplex( 0.0, 0.0 ) );
+
+ for( int i=-_twospin; i<=_twospin; i+=2 )
+ amp(i, i) = EvtComplex( 1.0, 0.0 );
+
+ return amp;
+}
+
+EvtMNode * EvtMParticle::duplicate() const
+{
+ return new EvtMParticle( _resonance[0], _id );
+}
--- /dev/null
+#ifndef __EVTMPARTICLE_HH__
+#define __EVTMPARTICLE_HH__
+
+#include "EvtGenBase/EvtMNode.hh"
+
+class EvtMParticle : public EvtMNode {
+
+ public:
+
+ EvtMParticle( int label, const EvtId& id );
+ virtual ~EvtMParticle() {}
+ EvtSpinAmp amplitude( const vector<EvtVector4R>& product ) const;
+ int getnchild() const { return 0; }
+
+ EvtComplex line( const vector<EvtVector4R>& product ) const
+ { return EvtComplex(1.0, 0.0); }
+
+ EvtMNode * duplicate() const;
+};
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtMRes.hh"
+
+EvtMRes::~EvtMRes()
+{
+ for(size_t i=0; i<_children.size(); ++i)
+ delete _children[i];
+}
--- /dev/null
+#ifndef __EVTMRES_HH__
+#define __EVTMRES_HH__
+
+#include "EvtGenBase/EvtMNode.hh"
+
+class EvtMRes;
+
+class EvtMLineShape {
+
+ public:
+
+ virtual ~EvtMLineShape() {};
+
+ void setres( EvtMRes * n ) { _node = n; }
+ virtual EvtComplex shape( const vector<EvtVector4R>& product ) const=0;
+
+ virtual EvtMLineShape * duplicate() const=0;
+
+ protected:
+
+ EvtMRes * _node;
+};
+
+class EvtMRes : public EvtMNode {
+
+ public:
+
+ virtual ~EvtMRes();
+
+ int getnchild() const { return _children.size(); }
+
+ virtual EvtComplex line( const vector<EvtVector4R>& product ) const
+ { return _lineshape->shape( product ); }
+
+ protected:
+
+ // store the child nodes
+ vector<EvtMNode *> _children;
+
+ // store the parametrization amplitudes in some kind
+ EvtSpinAmp _amp;
+
+ // store the lineshape of the resonance
+ EvtMLineShape * _lineshape;
+
+};
+
+#endif
--- /dev/null
+#include <stdio.h>
+#include <stdlib.h>
+#include <algorithm>
+
+#include "EvtGenBase/EvtParticle.hh"
+
+#include "EvtGenBase/EvtMTree.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+// Make sure to include Lineshapes here
+#include "EvtGenBase/EvtMTrivialLS.hh"
+#include "EvtGenBase/EvtMBreitWigner.hh"
+
+// Make sure to include Parametrizations
+#include "EvtGenBase/EvtMHelAmp.hh"
+
+using std::endl;
+
+EvtMTree::EvtMTree( const EvtId * idtbl, unsigned int ndaug )
+{
+ for( size_t i=0; i<ndaug; ++i ) {
+ _lbltbl.push_back( EvtPDL::name( idtbl[i] ) );
+ }
+}
+
+EvtMTree::~EvtMTree()
+{
+ for(size_t i=0; i<_root.size(); ++i) delete _root[i];
+}
+
+bool EvtMTree::parsecheck( char arg, const string& chars )
+{
+ bool ret = false;
+
+ for(size_t i=0; i<chars.size(); ++i) {
+ ret = ret || (chars[i]==arg);
+ }
+
+ return ret;
+}
+
+vector<EvtMNode *> EvtMTree::makeparticles( const string& strid )
+{
+ vector<EvtMNode *> particles;
+ vector<int> labels;
+
+ for( size_t i = 0; i<_lbltbl.size(); ++i ) {
+ if( _lbltbl[i] == strid ) labels.push_back( i );
+ }
+
+ if( labels.size() == 0 ) {
+ report(ERROR,"EvtGen")<<"Error unknown particle label "<<strid<<endl;
+ ::abort();
+ }
+
+ for( size_t i = 0; i<labels.size(); ++i )
+ particles.push_back( new EvtMParticle( labels[i], EvtPDL::getId( strid ) ) );
+
+ return particles;
+}
+
+EvtMRes * EvtMTree::makeresonance( const EvtId& id, const string& ls,
+ const vector<string>& lsarg, const string& type,
+ const vector<EvtComplex>& amps, const vector<EvtMNode *>& children )
+{
+ EvtMRes * resonance = NULL;
+ EvtMLineShape * lineshape = NULL;
+
+ if( ls=="BREITWIGNER" ) {
+ lineshape = new EvtMBreitWigner( id, lsarg );
+ } else if( ls=="TRIVIAL" ) {
+ lineshape = new EvtMTrivialLS( id, lsarg );
+ } else {
+ report(ERROR,"EvtGen")<<"Lineshape "<<lineshape
+ <<" not recognized."<<endl;
+ ::abort();
+ }
+
+ if( type=="HELAMP" ) {
+ resonance = new EvtMHelAmp( id, lineshape, children, amps );
+ } else {
+ report(ERROR,"EvtGen")<<"Model "<<type<<" not recognized."<<endl;
+ ::abort();
+ }
+
+ lineshape->setres( resonance );
+
+ return resonance;
+}
+
+void EvtMTree::parseerror( bool flag, ptype& c_iter, ptype& c_begin,
+ ptype& c_end )
+{
+ if(!flag) return;
+
+ string error;
+
+ while( c_begin != c_end ) {
+ if(c_begin == c_iter) {
+ error+='_';
+ error+=*c_begin;
+ error+='_';
+ } else
+ error+=*c_begin;
+
+ ++c_begin;
+ }
+
+ report(ERROR,"EvtGen")<<"Parse error at: "<<error<<endl;
+ ::abort();
+}
+
+string EvtMTree::parseId( ptype& c_iter, ptype& c_begin, ptype& c_end )
+{
+ string strid;
+
+ while(c_iter != c_end) {
+ parseerror(parsecheck(*c_iter, ")[],"), c_iter, c_begin, c_end);
+ if( *c_iter == '(' ) {
+ ++c_iter;
+ return strid;
+ }
+
+ strid += *c_iter;
+ ++c_iter;
+ }
+
+ return strid;
+}
+
+string EvtMTree::parseKey( ptype& c_iter, ptype& c_begin, ptype& c_end )
+{
+ string key;
+
+ while( *c_iter != ',' ) {
+ parseerror(c_iter==c_end || parsecheck(*c_iter, "()[]"),
+ c_iter, c_begin, c_end);
+ key += *c_iter;
+ ++c_iter;
+ }
+
+ ++c_iter;
+
+ parseerror(c_iter == c_end, c_iter, c_begin, c_end);
+
+ return key;
+}
+
+vector<string> EvtMTree::parseArg( ptype &c_iter, ptype &c_begin, ptype &c_end )
+{
+ vector<string> arg;
+
+ if( *c_iter != '[' ) return arg;
+ ++c_iter;
+
+ string temp;
+ while(true) {
+ parseerror( c_iter == c_end || parsecheck(*c_iter, "[()"),
+ c_iter, c_begin, c_end );
+
+ if( *c_iter == ']' ) {
+ ++c_iter;
+ if(temp.size() > 0) arg.push_back( temp );
+ break;
+ }
+
+ if( *c_iter == ',') {
+ arg.push_back( temp );
+ temp.clear();
+ ++c_iter;
+ continue;
+ }
+
+ temp += *c_iter;
+ ++c_iter;
+ }
+ parseerror(c_iter == c_end || *c_iter != ',', c_iter, c_begin, c_end);
+ ++c_iter;
+
+ return arg;
+}
+
+vector<EvtComplex> EvtMTree::parseAmps( ptype &c_iter,
+ ptype &c_begin, ptype &c_end )
+{
+ vector<string> parg = parseArg( c_iter, c_begin, c_end );
+ parseerror( parg.size() == 0, c_iter, c_begin, c_end );
+
+ // Get parametrization amplitudes
+ vector<string>::iterator amp_iter = parg.begin();
+ vector<string>::iterator amp_end = parg.end();
+ vector<EvtComplex> amps;
+
+ while( amp_iter != amp_end ) {
+ const char * nptr;
+ char * endptr = NULL;
+ double amp=0.0, phase=0.0;
+
+ nptr = (*amp_iter).c_str();
+ amp = strtod(nptr, &endptr);
+ parseerror( nptr==endptr, c_iter, c_begin, c_end );
+
+ ++amp_iter;
+ parseerror( amp_iter == amp_end, c_iter, c_begin, c_end );
+
+ nptr = (*amp_iter).c_str();
+ phase = strtod(nptr, &endptr);
+ parseerror( nptr==endptr, c_iter, c_begin, c_end );
+
+ amps.push_back( amp*exp(EvtComplex(0.0, phase)) );
+
+ ++amp_iter;
+ }
+
+ return amps;
+}
+
+vector<EvtMNode *> EvtMTree::duplicate( const vector<EvtMNode *>& list ) const
+{
+ vector<EvtMNode *> newlist;
+
+ for(size_t i=0; i<list.size(); ++i)
+ newlist.push_back( list[i]->duplicate() );
+
+ return newlist;
+}
+
+// XXX Warning it is unsafe to use cl1 after a call to this function XXX
+vector< vector<EvtMNode * > > EvtMTree::unionChildren( const string& nodestr,
+ vector< vector<EvtMNode * > >& cl1 )
+{
+ vector<EvtMNode *> cl2 = parsenode( nodestr, false );
+ vector< vector<EvtMNode * > > cl;
+
+ if( cl1.size() == 0 ) {
+ for( size_t i=0; i<cl2.size(); ++i ) {
+ vector<EvtMNode *> temp(1, cl2[i]);
+ cl.push_back( temp );
+ }
+
+ return cl;
+ }
+
+ for( size_t i=0; i<cl1.size(); ++i ) {
+ for( size_t j=0; j<cl2.size(); ++j ) {
+ vector<EvtMNode *> temp;
+ temp = duplicate( cl1[i] );
+ temp.push_back( cl2[j]->duplicate() );
+
+ cl.push_back( temp );
+ }
+ }
+
+ for(size_t i=0; i<cl1.size(); ++i)
+ for(size_t j=0; j<cl1[i].size(); ++j)
+ delete cl1[i][j];
+ for(size_t i=0; i<cl2.size(); ++i)
+ delete (cl2[i]);
+
+ return cl;
+}
+
+vector< vector<EvtMNode * > > EvtMTree::parseChildren( ptype &c_iter,
+ ptype &c_begin, ptype &c_end )
+{
+ bool test = true;
+ int pcount=0;
+ string nodestr;
+ vector< vector<EvtMNode * > > children;
+
+ parseerror(c_iter == c_end || *c_iter != '[', c_iter, c_begin, c_end );
+ ++c_iter;
+
+ while( test ) {
+ parseerror( c_iter==c_end || pcount < 0, c_iter, c_begin, c_end );
+
+ switch( *c_iter ) {
+ case ')':
+ --pcount;
+ nodestr += *c_iter;
+ break;
+ case '(':
+ ++pcount;
+ nodestr += *c_iter;
+ break;
+ case ']':
+ if( pcount==0 ) {
+ children = unionChildren( nodestr, children );
+ test=false;
+ } else {
+ nodestr += *c_iter;
+ }
+ break;
+ case ',':
+ if( pcount==0 ) {
+ children = unionChildren( nodestr, children );
+ nodestr.clear();
+ } else {
+ nodestr += *c_iter;
+ }
+ break;
+ default:
+ nodestr += *c_iter;
+ break;
+ }
+
+ ++c_iter;
+ }
+
+ return children;
+}
+
+vector<EvtMNode *> EvtMTree::parsenode( const string& args, bool rootnode )
+{
+ ptype c_iter, c_begin, c_end;
+
+ c_iter=c_begin=args.begin();
+ c_end = args.end();
+
+ string strid = parseId( c_iter, c_begin, c_end );
+
+ // Case 1: Particle
+ if( c_iter == c_end ) return makeparticles( strid );
+
+ // Case 2: Resonance - parse further
+ EvtId id = EvtPDL::getId(strid);
+ parseerror(EvtId( -1, -1 )==id, c_iter, c_begin, c_end);
+
+ string ls;
+ vector<string> lsarg;
+
+ if( rootnode ) {
+ ls = "TRIVIAL";
+ } else {
+ // Get lineshape (e.g. BREITWIGNER)
+ ls = parseKey( c_iter, c_begin, c_end );
+ lsarg = parseArg( c_iter, c_begin, c_end );
+ }
+
+ // Get resonance parametrization type (e.g. HELAMP)
+ string type = parseKey( c_iter, c_begin, c_end );
+ vector<EvtComplex> amps = parseAmps( c_iter, c_begin, c_end );
+
+ // Children
+ vector<vector<EvtMNode * > > children = parseChildren( c_iter, c_begin,
+ c_end );
+
+ report(ERROR,"EvtGen")<<children.size()<<endl;
+ vector<EvtMNode *> resonances;
+ for(size_t i=0; i<children.size(); ++i ) {
+ resonances.push_back(makeresonance(id,ls,lsarg,type,amps,children[i]));
+ }
+
+ parseerror(c_iter == c_end || *c_iter!=')', c_iter, c_begin, c_end);
+
+ return resonances;
+}
+
+bool EvtMTree::validTree( const EvtMNode * root ) const
+{
+ vector<int> res = root->getresonance();
+ vector<bool> check(res.size(), false);
+
+ for( size_t i=0; i<res.size(); ++i) {
+ check[res[i]] = true;
+ }
+
+ bool ret = true;
+
+ for( size_t i=0; i<check.size(); ++i ) {
+ ret = ret&&check[i];
+ }
+
+ return ret;
+}
+
+void EvtMTree::addtree( const string& str )
+{
+ vector<EvtMNode *> roots = parsenode( str, true );
+ _norm = 0;
+
+ for( size_t i=0; i<roots.size(); ++i ) {
+ if( validTree( roots[i] ) ) {
+ _root.push_back( roots[i] );
+ _norm = _norm + 1;
+ } else
+ delete roots[i];
+ }
+
+ _norm = 1.0/sqrt(_norm);
+}
+EvtSpinAmp EvtMTree::getrotation( EvtParticle * p ) const
+{
+ // Set up the rotation matrix for the root particle (for now)
+ EvtSpinDensity sd = p->rotateToHelicityBasis();
+ EvtSpinType::spintype type = EvtPDL::getSpinType(_root[0]->getid());
+ int twospin = EvtSpinType::getSpin2(type);
+
+ vector<EvtSpinType::spintype> types(2, type);
+ EvtSpinAmp rot( types, EvtComplex(0.0, 0.0) );
+ vector<int> index = rot.iterallowedinit();
+ do {
+ rot(index) = sd.get((index[0]+twospin)/2,(index[1]+twospin)/2);
+ } while( rot.iterateallowed( index ) );
+
+ return rot;
+}
+
+EvtSpinAmp EvtMTree::amplitude( EvtParticle * p ) const
+{
+ vector<EvtVector4R> product;
+ for(size_t i=0; i<p->getNDaug(); ++i)
+ product.push_back(p->getDaug(i)->getP4Lab());
+
+ if( _root.size() == 0 ) {
+ report(ERROR, "EvtGen")<<"No decay tree present."<<endl;
+ ::abort();
+ }
+
+ EvtSpinAmp amp = _root[0]->amplitude( product );
+ for( size_t i=1; i<_root.size(); ++i ) {
+ // Assume that helicity amplitude is returned
+ amp += _root[i]->amplitude( product );
+ }
+ amp = _norm*amp;
+
+ //ryd
+ return amp;
+
+ // Do Rotation to Proper Frame
+ EvtSpinAmp newamp = getrotation( p );
+ newamp.extcont(amp, 1, 0);
+
+ return newamp;
+}
--- /dev/null
+#ifndef __EVTMTREE_HH__
+#define __EVTMTREE_HH__
+
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtSpinAmp.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+
+#include "EvtGenBase/EvtMNode.hh"
+#include "EvtGenBase/EvtMParticle.hh"
+#include "EvtGenBase/EvtMRes.hh"
+
+#include <vector>
+using std::vector;
+
+#include <string>
+using std::string;
+
+typedef string::const_iterator ptype;
+
+class EvtParticle;
+
+class EvtMTree {
+
+ public:
+
+ EvtMTree( const EvtId * , unsigned int );
+ ~EvtMTree( );
+
+ // return the invariant amplitude of the entire tree
+ EvtSpinAmp amplitude( EvtParticle * ) const;
+
+ // add a decay tree to the list of trees that we posess
+ void addtree( const string& );
+
+ private:
+
+ vector< EvtMNode * > _root;
+ vector<string> _lbltbl;
+ double _norm;
+
+ bool parsecheck( char , const string& );
+ void parseerror( bool, ptype&, ptype&, ptype& );
+
+ string parseId( ptype&, ptype&, ptype& );
+ string parseKey( ptype&, ptype&, ptype& );
+ vector<string> parseArg( ptype&, ptype&, ptype& );
+ vector<EvtComplex> parseAmps( ptype&, ptype&, ptype& );
+ vector<EvtMNode *> duplicate( const vector<EvtMNode *>& ) const;
+ vector<vector<EvtMNode * > > unionChildren( const string&,
+ vector<vector<EvtMNode * > >& );
+ vector<vector<EvtMNode * > > parseChildren( ptype&, ptype&, ptype& );
+ vector<EvtMNode *> parsenode( const string& , bool );
+ bool validTree( const EvtMNode * ) const;
+
+ vector<EvtMNode *> makeparticles( const string& );
+ EvtMRes * makeresonance( const EvtId&, const string &, const
+ vector<string>&, const string& , const vector<EvtComplex>& ,
+ const vector<EvtMNode * >& );
+
+ EvtSpinAmp getrotation( EvtParticle * ) const;
+};
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtMTrivialLS.hh"
+
+EvtComplex EvtMTrivialLS::shape( const vector<EvtVector4R>& product ) const
+{
+ return EvtComplex(1.0, 0.0);
+}
+
+EvtMLineShape* EvtMTrivialLS::duplicate() const
+{
+ EvtId temp1;
+ vector<string> temp2;
+
+ EvtMLineShape* tmp=new EvtMTrivialLS(temp1, temp2);
+ return tmp;
+}
--- /dev/null
+#ifndef __EVTMTRIVIALLS_H__
+#define __EVTMTRIVIALLS_H__
+
+#include "EvtGenBase/EvtMRes.hh"
+
+class EvtMTrivialLS : public EvtMLineShape {
+
+ public:
+
+ EvtMTrivialLS( const EvtId& id, const vector<string>& args ) {};
+ ~EvtMTrivialLS() {};
+
+ EvtComplex shape( const vector<EvtVector4R>& product ) const;
+
+ EvtMLineShape* duplicate() const;
+};
+
+#endif
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtMacros.hh,v 1.1 2003/01/21 09:25:39 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Useful macros.
+
+// In copy constructors, deep copy pointers via CLONE
+// and date members via COPY. 'other' is the name of the copied object
+
+#define COPY_PTR(X) X(other.X ? other.X->clone() : 0)
+#define COPY_MEM(X) X(other.X)
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtLineShape.cc
+//
+// Description: Store particle properties for one particle.
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+// Dvoretskii June 03, 2002 Reimplemented rollMass()
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtManyDeltaFuncLineShape.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtBlattWeisskopf.hh"
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+#include "EvtGenBase/EvtPropBreitWigner.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+
+EvtManyDeltaFuncLineShape::EvtManyDeltaFuncLineShape() {
+
+}
+
+EvtManyDeltaFuncLineShape::~EvtManyDeltaFuncLineShape() {
+}
+
+EvtManyDeltaFuncLineShape::EvtManyDeltaFuncLineShape(double mass, double width, double maxRange, EvtSpinType::spintype sp) {
+
+ _mass=mass;
+ _width=width;
+ _spin=sp;
+ _maxRange=maxRange;
+
+ double maxdelta = width;
+
+ _massMax=mass+maxdelta;
+ _massMin=mass-maxdelta;
+
+ if ( _massMin< 0. ) _massMin=0.;
+
+}
+
+EvtManyDeltaFuncLineShape::EvtManyDeltaFuncLineShape(const EvtManyDeltaFuncLineShape& x):
+EvtAbsLineShape( x ) {
+ _mass=x._mass;
+ _width=x._width;
+ _spin=x._spin;
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _maxRange=x._maxRange;
+
+}
+
+EvtManyDeltaFuncLineShape& EvtManyDeltaFuncLineShape::operator=(const EvtManyDeltaFuncLineShape& x){
+ _mass=x._mass;
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _width=x._width;
+ _maxRange=x._maxRange;
+ _spin=x._spin;
+ return *this;
+
+}
+
+EvtAbsLineShape* EvtManyDeltaFuncLineShape::clone() {
+
+ return new EvtManyDeltaFuncLineShape(*this);
+}
+
+
+double EvtManyDeltaFuncLineShape::getMassProb(double mass, double massPar,int nDaug, double *massDau) {
+
+
+ double dTotMass=0.;
+
+ int i;
+ for (i=0; i<nDaug; i++) {
+ dTotMass+=massDau[i];
+ }
+ if ( (mass<dTotMass) ) return 0.;
+
+ if ( massPar>0.0000000001 ) {
+ if ( mass > massPar) return 0.;
+ }
+
+ return 1.;
+}
+
+double EvtManyDeltaFuncLineShape::getRandMass(EvtId*,int, EvtId*, EvtId*, double, double *) {
+
+ int nDelta = int((_massMax - _massMin)/_width);
+ nDelta++;
+ double rand=EvtRandom::Flat(0.,float(nDelta));
+ int randI=int(rand);
+ return _massMin+randI*_width;
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtAbsLineShape.hh
+//
+// Description: Class to keep the particle properties for
+// one particle
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTMANYDELTAFUNCLINESHAPE_HH
+#define EVTMANYDELTAFUNCLINESHAPE_HH
+
+#include "EvtGenBase/EvtAbsLineShape.hh"
+
+class EvtManyDeltaFuncLineShape :public EvtAbsLineShape {
+
+public:
+
+ EvtManyDeltaFuncLineShape();
+ EvtManyDeltaFuncLineShape(double mass, double width, double maxRange, EvtSpinType::spintype sp);
+ //figure the m1 and l on the fly
+ // double mDaug1, double mDaug2, int l);
+ ~EvtManyDeltaFuncLineShape();
+ EvtManyDeltaFuncLineShape& operator=(const EvtManyDeltaFuncLineShape& x);
+ EvtManyDeltaFuncLineShape(const EvtManyDeltaFuncLineShape& x);
+
+ EvtAbsLineShape* clone();
+
+ double getMassProb(double mass, double massPar, int nDaug, double *massDau);
+ // othDaugId is the other daughter of the parent in the case of a two body decay (only!)
+ // ie B->rho K rho->pipi, othDaugId = K
+ double getRandMass(EvtId *parId, int nDaug, EvtId *dauId, EvtId *othDaugId, double maxMass, double *dauMasses);
+
+
+protected:
+};
+
+#endif
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtMassAmp.cc,v 1.11 2006/01/25 19:55:43 lange Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtMassAmp.hh"
+
+EvtMassAmp::EvtMassAmp(const EvtPropBreitWignerRel& prop, const EvtTwoBodyVertex& vd)
+ : EvtAmplitude<EvtPoint1D>()
+ ,_prop(prop), _vd(vd), _vb(0)
+ ,_useBirthFact(false), _useDeathFact(false)
+ ,_useBirthFactFF(false), _useDeathFactFF(false)
+{}
+
+EvtMassAmp::EvtMassAmp(const EvtMassAmp& other)
+ : EvtAmplitude<EvtPoint1D>(other)
+ ,_prop(other._prop), _vd(other._vd)
+ ,_vb(other._vb ? new EvtTwoBodyVertex(*other._vb) : 0)
+ ,_useBirthFact(other._useBirthFact)
+ ,_useDeathFact(other._useDeathFact)
+ ,_useBirthFactFF(other._useBirthFactFF)
+ ,_useDeathFactFF(other._useDeathFactFF)
+{}
+
+
+EvtMassAmp::~EvtMassAmp()
+{
+ if(_vb) delete _vb;
+}
+
+
+EvtComplex EvtMassAmp::amplitude(const EvtPoint1D& p) const
+{
+ // Modified vertex
+
+ double m = p.value();
+ // keep things from crashing..
+
+ if ( m< (_vd.mA()+_vd.mB()) ) return EvtComplex(0.,0.);
+
+ EvtTwoBodyKine vd(_vd.mA(),_vd.mB(),m);
+
+ // Compute mass-dependent width for relativistic propagator
+
+ EvtPropBreitWignerRel bw(_prop.m0(),_prop.g0()*_vd.widthFactor(vd));
+ EvtComplex amp = bw.evaluate(m);
+
+
+ // Birth vertex factors
+
+ if(_useBirthFact) {
+
+ assert(_vb);
+ if ( (m+_vb->mB()) < _vb->mAB() ) {
+ EvtTwoBodyKine vb(m,_vb->mB(),_vb->mAB());
+ amp *= _vb->phaseSpaceFactor(vb,EvtTwoBodyKine::AB);
+ amp *= sqrt((vb.p() / _vb->pD()));
+
+ if(_useBirthFactFF) {
+
+ assert(_vb);
+ amp *= _vb->formFactor(vb);
+ }
+ }
+ else{
+ if ( _vb->L() != 0 ) amp=0.;
+ }
+ }
+
+
+ // Decay vertex factors
+
+ if(_useDeathFact) {
+ amp *= _vd.phaseSpaceFactor(vd,EvtTwoBodyKine::AB);
+ amp *= sqrt((vd.p() / _vd.pD()));
+ }
+ if(_useDeathFactFF) amp *= _vd.formFactor(vd);
+
+ return amp;
+}
+
+
+
+
+
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtMassAmp.hh,v 1.11 2006/01/25 19:55:43 lange Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+
+// Relativistic lineshape for a two-body decay of a resonance to two
+// pseudoscalars. The mass dependence of the width and the vertex factors
+// are included in the calculation.
+
+#ifndef EVT_MASSAMP_HH
+#define EVT_MASSAMP_HH
+
+#include "EvtGenBase/EvtPoint1D.hh"
+#include "EvtGenBase/EvtAmplitude.hh"
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+
+class EvtMassAmp : public EvtAmplitude<EvtPoint1D> {
+public:
+
+ EvtMassAmp(const EvtPropBreitWignerRel& prop, const EvtTwoBodyVertex& vd);
+ EvtMassAmp(const EvtMassAmp& other);
+ virtual ~EvtMassAmp();
+
+ virtual EvtComplex amplitude(const EvtPoint1D& p) const;
+
+ virtual EvtAmplitude<EvtPoint1D>* clone() const
+ { return new EvtMassAmp(*this); }
+
+ void setBirthVtx(const EvtTwoBodyVertex& vb)
+ {
+ _vb = new EvtTwoBodyVertex(vb);
+ }
+
+ void addBirthFact() { _useBirthFact = true; }
+ void addDeathFact() { _useDeathFact = true; }
+ void addBirthFactFF() { _useBirthFactFF = true; }
+ void addDeathFactFF() { _useDeathFactFF = true; }
+
+private:
+
+ EvtPropBreitWignerRel _prop;
+ EvtTwoBodyVertex _vd;
+ EvtTwoBodyVertex* _vb;
+
+ bool _useBirthFact;
+ bool _useDeathFact;
+ bool _useBirthFactFF;
+ bool _useDeathFactFF;
+};
+
+
+#endif
--- /dev/null
+/*****************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtMatrix.hh,v 1.5 2008/11/27 16:27:24 jordix Exp $
+ *
+ * Description:
+ * Class to make simple computations with matrices: assignment, product,
+ * determinant, inverse... Still many functions could be implemented.
+ *
+ * Modification history:
+ * Jordi Garra Ticó 2008/07/03 File created
+ *****************************************************************************/
+
+
+#ifndef __EVT_MATRIX_HH__
+#define __EVT_MATRIX_HH__
+
+#include <vector>
+#include <sstream>
+
+
+
+template <class T> class EvtMatrix
+{
+private:
+ T** _mat;
+ int _range;
+public:
+ EvtMatrix() : _range( 0 ) {};
+ ~EvtMatrix();
+ inline void setRange( int range );
+
+ T& operator()( int row, int col ) { return _mat[ row ][ col ]; }
+ T* operator[]( int row ) { return _mat[ row ]; }
+ T det();
+ EvtMatrix* min( int row, int col );
+ EvtMatrix* inverse();
+ std::string dump();
+
+ template <class M> friend EvtMatrix< M >* operator*( const EvtMatrix< M >& left, const EvtMatrix< M >& right );
+};
+
+
+
+
+template <class T> inline void EvtMatrix< T >::setRange( int range )
+{
+ // If the range is changed, delete any previous matrix stored
+ // and allocate elements with the newly specified range.
+ if ( _range != range )
+ {
+ if ( _range )
+ {
+ for ( int row = 0; row < _range; row++ )
+ delete[] _mat[ row ];
+ delete[] _mat;
+ }
+
+ _mat = new T*[ range ];
+ for ( int row = 0; row < range; row++ )
+ _mat[ row ] = new T[ range ];
+
+ // Set the new range.
+ _range = range;
+ }
+
+ // Since user is willing to change the range, reset the matrix elements.
+ for ( int row = 0; row < _range; row++ )
+ for ( int col = 0; col < _range; col++ )
+ _mat[ row ][ col ] = 0.;
+}
+
+
+template <class T> EvtMatrix< T >::~EvtMatrix()
+{
+ for( int row = 0; row < _range; row++ )
+ delete[] _mat[ row ];
+ delete[] _mat;
+}
+
+
+template <class T> std::string EvtMatrix< T >::dump()
+{
+ std::ostringstream str;
+
+ for ( int row = 0; row < _range; row++ )
+ {
+ str << "|";
+ for ( int col = 0; col < _range; col++ )
+ str << "\t" << _mat[ row ][ col ];
+ str << "\t|" << std::endl;
+ }
+
+ return str.str();
+}
+
+
+template <class T> T EvtMatrix< T >::det()
+{
+ if ( _range == 1 )
+ return _mat[ 0 ][ 0 ];
+
+ // There's no need to define the range 2 determinant manually, but it may
+ // speed up the calculation.
+ if ( _range == 2 )
+ return _mat[ 0 ][ 0 ] * _mat[ 1 ][ 1 ] - _mat[ 0 ][ 1 ] * _mat[ 1 ][ 0 ];
+
+ T sum = 0.;
+
+ for ( int col = 0; col < _range; col++ )
+ {
+ EvtMatrix< T >* minor = min( 0, col );
+ sum += pow( -1., col ) * _mat[ 0 ][ col ] * minor->det();
+ delete minor;
+ }
+
+ return sum;
+}
+
+
+// Returns the minor at (i, j).
+template <class T> EvtMatrix< T >* EvtMatrix< T >::min( int row, int col )
+{
+ EvtMatrix< T >* minor = new EvtMatrix< T >();
+ minor->setRange( _range - 1 );
+
+ int minIndex = 0;
+
+ for ( int r = 0; r < _range; r++ )
+ for ( int c = 0; c < _range; c++ )
+ if ( ( r != row ) && ( c != col ) )
+ {
+ (*minor)( minIndex / ( _range - 1 ), minIndex % ( _range - 1 ) ) = _mat[ r ][ c ];
+ minIndex++;
+ }
+
+ return minor;
+}
+
+
+template <class T> EvtMatrix< T >* EvtMatrix< T >::inverse()
+{
+ EvtMatrix< T >* inv = new EvtMatrix< T >();
+ inv->setRange( _range );
+
+ if ( det() == 0 )
+ {
+ std::cerr << "This matrix has a null determinant and cannot be inverted. Returning zero matrix." << std::endl;
+ for ( int row = 0; row < _range; row++ )
+ for ( int col = 0; col < _range; col++ )
+ (*inv)( row, col ) = 0.;
+ return inv;
+ }
+
+ T determinant = det();
+
+ for ( int row = 0; row < _range; row++ )
+ for ( int col = 0; col < _range; col++ )
+ {
+ EvtMatrix< T >* minor = min( row, col );
+ inv->_mat[col][row] = pow( -1., row + col ) * minor->det() / determinant;
+ delete minor;
+ }
+
+ return inv;
+}
+
+
+template <class T>
+EvtMatrix< T >* operator*( const EvtMatrix< T >& left, const EvtMatrix< T >& right )
+{
+ // Chech that the matrices have the correct range.
+ if ( left._range != right._range )
+ {
+ std::cerr << "These matrices cannot be multiplied." << std::endl;
+ return new EvtMatrix< T >();
+ }
+
+ EvtMatrix< T >* mat = new EvtMatrix< T >();
+ mat->setRange( left._range );
+
+ // Initialize the elements of the matrix.
+ for ( int row = 0; row < left._range; row++ )
+ for ( int col = 0; col < right._range; col++ )
+ (*mat)[ row ][ col ] = 0;
+
+ for ( int row = 0; row < left._range; row++ )
+ for ( int col = 0; col < right._range; col++ )
+ for ( int line = 0; line < right._range; line++ )
+ (*mat)[ row ][ col ] += left._mat[ row ][ line ] * right._mat[ line ][ col ];
+
+ return mat;
+}
+
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtModel.cc
+//
+// Description:
+//
+// Modification history:
+//
+// RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <ctype.h>
+#include <stdlib.h>
+#include <assert.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtModel.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtParticleDecayList.hh"
+#include "EvtGenBase/EvtParser.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+using std::fstream;
+
+EvtModel* EvtModel::_instance=0;
+
+EvtModel::EvtModel() {
+
+}
+
+EvtDecayBase* EvtModel::getFcn(std::string model_name){
+
+ EvtDecayBase *model=0;
+ if ( _modelNameHash.find(model_name)!=_modelNameHash.end() ) {
+ model=_modelNameHash[model_name];
+ }
+
+ if (model==0){
+ report(ERROR,"EvtGen") << "Did not find the right model:"
+ <<model_name.c_str()<<"\n";
+ return 0;
+ }
+
+ return model->clone();
+
+}
+
+
+void EvtModel::registerModel(EvtDecayBase* prototype){
+
+ std::string modelName= prototype->getName();
+
+ _modelNameHash[modelName]=prototype;
+
+ std::string commandName=prototype->commandName();
+
+ if (commandName!=""){
+
+ _commandNameHash[commandName]=prototype;
+
+ }
+
+}
+
+int EvtModel::isModel(std::string model_name){
+
+ if ( _modelNameHash.find(model_name)!=_modelNameHash.end() ) {
+ return 1;
+ }
+ return 0;
+}
+
+
+int EvtModel::isCommand(std::string cmd){
+
+ if ( _commandNameHash.find(cmd)!=_commandNameHash.end() ) {
+ return 1;
+ }
+ return 0;
+}
+
+void EvtModel::storeCommand(std::string cmd,std::string cnfgstr){
+
+ EvtDecayBase *model=0;
+ if ( _commandNameHash.find(cmd)!=_commandNameHash.end() ) {
+ model=_commandNameHash[cmd];
+ }
+
+ assert(model!=0);
+
+ model->command(cnfgstr);
+
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtModel.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 8, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTMODEL_HH
+#define EVTMODEL_HH
+
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtStringHash.hh"
+#include <map>
+//#include <fstream.h>
+
+
+//Class to read in and handle the decays available
+//to EvtGen for each particle, and the model to be
+//used for each one.
+
+class EvtModel{
+
+public:
+
+ static EvtModel& instance();
+
+ void registerModel(EvtDecayBase* prototype);
+
+ int isModel(std::string name);
+
+ EvtDecayBase* getFcn(std::string model_name);
+
+ int isCommand(std::string cmd);
+ void storeCommand(std::string cmd,std::string cnfgstr);
+
+
+private:
+
+ EvtModel();
+
+ static EvtModel* _instance;
+
+ std::map<std::string,EvtDecayBase*> _modelNameHash;
+ std::map<std::string,EvtDecayBase*> _commandNameHash;
+
+
+};
+
+
+inline EvtModel& EvtModel::instance() {
+ if ( _instance == 0 ) _instance=new EvtModel;
+ return *_instance;
+}
+
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech, LLNL
+//
+// Module: EvtGen/EvtModelAlias.cc
+//
+// Description:Class to keep track of model aliases
+// read in from the decay table
+//
+// Modification history:
+//
+// Lange January 19, 2002 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtModelAlias.hh"
+
+EvtModelAlias::EvtModelAlias(std::string alias, std::string model, std::vector<std::string> args):
+
+ _aliasName(alias)
+ ,_model(model)
+ ,_modelArgs(args)
+
+
+{
+}
+
+EvtModelAlias::EvtModelAlias(const EvtModelAlias ©Me) :
+
+ _aliasName(copyMe._aliasName)
+ ,_model(copyMe._model)
+ ,_modelArgs(copyMe._modelArgs)
+
+{
+
+}
+
+EvtModelAlias EvtModelAlias::operator=(const EvtModelAlias ©Me) {
+
+ _aliasName=copyMe._aliasName;
+ _model=copyMe._model;
+ _modelArgs = copyMe._modelArgs;
+
+ return *this;
+}
+
+std::vector<std::string> EvtModelAlias::getArgList() {
+
+ return _modelArgs;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech, LLNL
+//
+// Module: EvtGen/EvtModelAlias.hh
+//
+// Description:Class to keep track of model aliases
+// read in from the decay table
+//
+// Modification history:
+//
+// Lange January 19, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTMODELALIAS_HH
+#define EVTMODELALIAS_HH
+
+#include <vector>
+#include <string>
+
+class EvtModelAlias{
+
+public:
+
+ EvtModelAlias() {};
+ EvtModelAlias(std::string alias, std::string model, std::vector<std::string> args);
+ ~EvtModelAlias() {};
+ EvtModelAlias(const EvtModelAlias ©Me);
+ EvtModelAlias operator=(const EvtModelAlias ©Me);
+ bool matchAlias(const std::string &cand) {if (cand==_aliasName) return true;
+ return false;}
+ std::string getName() { return _model;}
+ std::vector<std::string> getArgList();
+private:
+
+ std::string _aliasName;
+ std::string _model;
+ std::vector<std::string> _modelArgs;
+
+};
+#endif
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtMultiChannelParser.cc,v 1.17 2009/02/19 03:22:30 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <assert.h>
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <string>
+#include <vector>
+#include "EvtGenBase/EvtParser.hh"
+#include "EvtGenBase/EvtMultiChannelParser.hh"
+#include "EvtGenBase/EvtDecayMode.hh"
+#include "EvtGenBase/EvtPDL.hh"
+
+using std::string;
+using std::vector;
+
+EvtDecayMode EvtMultiChannelParser::getDecayMode(const char* file)
+{
+ // Open file, read tokens
+
+ EvtParser parser;
+ parser.read(file);
+
+ // Seek Decay
+
+ int i = 0;
+ int N = parser.getNToken();
+ while(i<N) {
+
+ std::string tok = parser.getToken(i++);
+ if(tok == std::string("Decay")) break;
+ }
+
+ // Get mother
+
+ string mother = string(parser.getToken(i++).c_str());
+ std::string bf = parser.getToken(i++);
+
+ vector<string> dauV;
+ // Get daughters
+
+ while(1) {
+
+ std::string d = parser.getToken(i++);
+
+ if(EvtPDL::getStdHep(EvtPDL::getId(d.c_str())) == 0) break;
+
+ dauV.push_back(string(d.c_str()));
+ }
+
+ EvtDecayMode mode(mother,dauV);
+ printf("Decay File defines mode %s\n",mode.mode().c_str());
+
+ return mode;
+}
+
+
+
+void EvtMultiChannelParser::parse(const char* file, const char* model)
+{
+ // Open file, read tokens
+
+ EvtParser parser;
+ parser.read(file);
+
+
+ // Get parameters (tokens between the model name and ;)
+
+ int i = 0;
+ int N = parser.getNToken();
+
+ // Seek the model name
+
+ while(i<N) {
+
+ std::string tok = parser.getToken(i++);
+ if(tok == std::string(model)) break;
+ }
+ if(i == N) {
+
+ printf("No model %s found in decay file %s",model,file);
+ exit(0);
+ }
+
+
+ // Add all tokens up to a semicolon to vector
+
+ std::vector<std::string> v;
+ while(i<N) {
+
+ std::string tok = parser.getToken(i++);
+ if(tok == std::string(";")) break;
+ else v.push_back(tok);
+ }
+
+ if(i == N) {
+
+ printf("No terminating ; found in decay file %s",file);
+ assert(0);
+ }
+
+ parse(v);
+}
+
+
+void EvtMultiChannelParser::parse(const std::vector<std::string>& v)
+{
+ // place holder for strtod
+ char** tc = 0;
+
+
+ // Get PDF maximum or number of points to
+ // use in the scan.
+
+ if(v[0] == std::string("MAXPDF")) {
+
+ _pdfMax = strtod(v[1].c_str(),tc);
+ if(_pdfMax <= 0) { printf("Bad pdfMax=%f\n",_pdfMax); assert(0); }
+ }
+ else
+ if(v[0] == std::string("SCANPDF")) {
+
+ _nScan = atoi(v[1].c_str());
+ }
+ else {
+
+ printf("Error parsing decay file\n");
+ assert(0);
+ }
+
+
+ // Now parse the rest of file for amplitude specifications.
+
+ bool conjugate = false;
+ size_t i = 2;
+ assert(isKeyword(v[2]));
+
+ while(i < v.size()) {
+
+ size_t i0 = i;
+
+ // Switch to conjugate amplitudes after keyword
+ if(v[i] == std::string("CONJUGATE")) {
+
+ assert(conjugate == false);
+ conjugate = true;
+ assert(!isKeyword(v[++i]));
+ _dm = strtod(v[i++].c_str(),tc);
+ _mixAmpli = strtod(v[i++].c_str(),tc);
+ _mixPhase = strtod(v[i++].c_str(),tc);
+ }
+
+ if (i >= v.size()) break;
+ std::vector<std::string> params;
+ EvtComplex c;
+ int format;
+
+ if(!conjugate && v[i] == std::string("AMPLITUDE")) {
+
+ while(!isKeyword(v[++i])) params.push_back(v[i]);
+ _amp.push_back(params);
+
+ parseComplexCoef(i,v,c,format);
+ _ampCoef.push_back(c);
+ _coefFormat.push_back(format);
+ continue;
+ }
+ else
+ if(conjugate && v[i] == std::string("AMPLITUDE")) {
+
+ while(!isKeyword(v[++i])) params.push_back(v[i]);
+ _ampConj.push_back(params);
+ parseComplexCoef(i,v,c,format);
+ _ampConjCoef.push_back(c);
+ _coefConjFormat.push_back(format);
+ continue;
+ }
+ else {
+
+ printf("Expect keyword, found parameter %s\n",v[i].c_str());
+ assert(0);
+ }
+
+
+ assert(i > i0);
+ }
+
+ printf("PARSING SUCCESSFUL\n");
+ printf("%d amplitude terms\n",(int)_amp.size());
+ printf("%d conj amplitude terms\n",(int)_ampConj.size());
+}
+
+
+
+void EvtMultiChannelParser::parseComplexCoef(size_t& i, const std::vector<std::string>& v,
+ EvtComplex& c, int& format)
+{
+ // place holder for strtod
+ char** tc = 0;
+
+ assert(v[i++] == std::string("COEFFICIENT"));
+
+ if(v[i] == std::string("POLAR_DEG")) {
+
+ double mag = strtod(v[i+1].c_str(),tc);
+ double phaseRad = strtod(v[i+2].c_str(),tc)*EvtConst::pi/180.0;
+ i += 3;
+ c = EvtComplex(mag*cos(phaseRad),mag*sin(phaseRad));
+ format = POLAR_DEG;
+ }
+ else if(v[i] == std::string("POLAR_RAD")) {
+
+ double mag = strtod(v[i+1].c_str(),tc);
+ double phaseRad = strtod(v[i+2].c_str(),tc);
+ i += 3;
+ c = EvtComplex(mag*cos(phaseRad),mag*sin(phaseRad));
+ format = POLAR_RAD;
+ }
+ else if(v[i] == std::string("CARTESIAN")) {
+
+ double re = strtod(v[i+1].c_str(),tc);
+ double im = strtod(v[i+2].c_str(),tc);
+ i += 3;
+ c = EvtComplex(re,im);
+ format = CARTESIAN;
+ }
+ else {
+
+ printf("Invalid format %s for complex coefficient\n",v[i].c_str());
+ exit(0);
+ }
+}
+
+
+double EvtMultiChannelParser::parseRealCoef(int& i, const std::vector<std::string>& v)
+{
+ // place holder for strtod
+ char** tc = 0;
+ double value = 0;
+
+ if(v[i] == std::string("COEFFICIENT")) {
+
+ value = strtod(v[i+1].c_str(),tc);
+ }
+ else assert(0);
+
+ i += 2;
+
+ assert(value > 0.);
+ return value;
+}
+
+
+bool EvtMultiChannelParser::isKeyword(const std::string& s)
+{
+ if(s == std::string("AMPLITUDE")) return true;
+ if(s == std::string("CONJUGATE")) return true;
+ if(s == std::string("COEFFICIENT")) return true;
+ return false;
+}
+
+
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtMultiChannelParser.hh,v 1.7 2009/02/19 03:22:30 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+
+// Parse decay file tokens from a file or a vector
+
+#ifndef EVT_MULTI_CHANNEL_PARSER
+#define EVT_MULTI_CHANNEL_PARSER
+
+
+#include <vector>
+#include <string>
+#include "EvtGenBase/EvtComplex.hh"
+
+class EvtDecayMode;
+
+enum {POLAR_RAD,POLAR_DEG,CARTESIAN};
+
+class EvtMultiChannelParser {
+
+public:
+
+ EvtMultiChannelParser() : _pdfMax(-1.), _nScan(0), _dm(0.) {}
+ ~EvtMultiChannelParser() {}
+
+ static EvtDecayMode getDecayMode(const char* file);
+
+ void parse(const char* file, const char* model);
+ void parse(const std::vector<std::string>& v);
+
+ static void parseComplexCoef(size_t& i, const std::vector<std::string>& v,
+ EvtComplex& c, int& format);
+ static double parseRealCoef(int& i, const std::vector<std::string>& v);
+ static bool isKeyword(const std::string& s);
+
+ inline double pdfMax() const { return _pdfMax; }
+ inline int nScan() const { return _nScan; }
+ inline double dm() const { return _dm; }
+ inline double mixPhase() const { return _mixPhase; }
+ inline double mixAmpli() const { return _mixAmpli; }
+
+ inline std::vector<std::string> amp(int i) const { return _amp[i]; }
+ inline std::vector<std::string> ampConj(int i) const { return _ampConj[i]; }
+ inline EvtComplex ampCoef(int i) const { return _ampCoef[i]; }
+ inline EvtComplex ampConjCoef(int i) const { return _ampConjCoef[i]; }
+
+ inline int coefFormat(int i) const { return _coefFormat[i]; }
+ inline int coefConjFormat(int i) const { return _coefConjFormat[i]; }
+
+ inline int getNAmp() const { return _amp.size(); }
+ inline int getNAmpConj() const { return _ampConj.size(); }
+
+private:
+
+ double _pdfMax;
+ int _nScan;
+ double _dm;
+ double _mixPhase;
+ double _mixAmpli;
+
+ std::vector<std::vector<std::string> > _amp;
+ std::vector<std::vector<std::string> > _ampConj;
+ std::vector<EvtComplex> _ampCoef;
+ std::vector<int> _coefFormat;
+ std::vector<EvtComplex> _ampConjCoef;
+ std::vector<int> _coefConjFormat;
+};
+
+#endif
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtNeutrinoParticle.cc
+//
+// Description: Class to describe neutrinos
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <stdlib.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtNeutrinoParticle.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+
+EvtNeutrinoParticle::~EvtNeutrinoParticle(){}
+
+EvtNeutrinoParticle::EvtNeutrinoParticle(){
+
+ return;
+}
+
+void EvtNeutrinoParticle::init(EvtId part_n,const EvtVector4R& p4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(part_n);
+
+ double e,px,py,pz;
+ e=p4.get(0);
+ px=p4.get(1);
+ py=p4.get(2);
+ pz=p4.get(3);
+
+ if (EvtPDL::getStdHep(part_n)==0){
+ report(ERROR,"EvtGen") << "Error in EvtNeutrinoParticle::init, part_n="
+ << part_n.getId()<<endl;
+ }
+
+ if (EvtPDL::getStdHep(part_n)>0){
+
+ double beta,alpha,p2,norm;
+
+ // See Sakurai p. 167-169
+ // and Renton p. 126
+
+ p2=px*px+py*py+pz*pz;
+
+ beta=acos(pz/sqrt(p2));
+ alpha=atan2(py,px);
+
+ norm=sqrt(2*e);
+
+ double cosb,sinb,cosa,sina;
+
+ cosb=cos(0.5*beta);
+ sinb=sin(0.5*beta);
+
+ cosa=cos(0.5*alpha);
+ sina=sin(0.5*alpha);
+
+ spinor_parent.set(-norm*sinb*EvtComplex(cosa,-sina),
+ norm*cosb*EvtComplex(cosa,sina),
+ norm*sinb*EvtComplex(cosa,-sina),
+ -norm*cosb*EvtComplex(cosa,sina));
+
+ }
+ else{
+
+ px=-p4.get(1);
+ py=-p4.get(2);
+ pz=-p4.get(3);
+
+ double pn,sqrpn;
+
+ pn=e;
+ sqrpn=sqrt(pn-pz);
+
+ spinor_parent.set((1.0/sqrpn)*EvtComplex(px,-py),
+ EvtComplex(sqrpn,0.0),
+ (-1.0/sqrpn)*EvtComplex(px,-py),
+ -EvtComplex(sqrpn,0.0));
+
+
+ }
+
+ setLifetime();
+
+}
+
+
+EvtDiracSpinor EvtNeutrinoParticle::spParentNeutrino() const {
+
+ return spinor_parent;
+}
+
+EvtDiracSpinor EvtNeutrinoParticle::spNeutrino() const {
+
+ report(ERROR,"EvtGen") << "Tried to get neutrino spinor in restframe";
+ report(ERROR,"EvtGen") << "Will terminate execution.";
+
+ ::abort();
+
+ return spinor_rest;
+}
+
+
+EvtSpinDensity EvtNeutrinoParticle::rotateToHelicityBasis() const{
+
+ report(ERROR,"EvtGen") << "rotateToHelicityBasis not implemented for neutrino.";
+ report(ERROR,"EvtGen") << "Will terminate execution.";
+
+ ::abort();
+
+ EvtSpinDensity rho;
+ return rho;
+
+}
+
+EvtSpinDensity EvtNeutrinoParticle::rotateToHelicityBasis(double,
+ double,
+ double) const{
+
+ report(ERROR,"EvtGen") << "rotateToHelicityBasis(alpha,beta,gama) not implemented for neutrino.";
+ report(ERROR,"EvtGen") << "Will terminate execution.";
+
+ ::abort();
+
+ EvtSpinDensity R;
+ R.setDiag(1);
+
+ return R;
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtNeutrinoParticle.hh
+//
+// Description:Class to describe neutrinos
+//
+// Modification history:
+//
+// RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTNEUTRINOPARTICLE_HH
+#define EVTNEUTRINOPARTICLE_HH
+
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtParticle.hh"
+class EvtId;
+class EvtVector4R;
+
+class EvtNeutrinoParticle:public EvtParticle {
+
+public:
+
+ EvtNeutrinoParticle();
+ virtual ~EvtNeutrinoParticle();
+ void init(EvtId part_n,const EvtVector4R& p4);
+ EvtDiracSpinor spParentNeutrino() const;
+ EvtDiracSpinor spNeutrino() const;
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+private:
+
+ EvtDiracSpinor spinor_rest;
+ EvtDiracSpinor spinor_parent;
+
+ EvtNeutrinoParticle(const EvtNeutrinoParticle& n);
+ EvtNeutrinoParticle& operator=(const EvtNeutrinoParticle& n);
+
+};
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author: Denis Dujmic, ddujmic@slac.stanford.edu
+ *
+ * Copyright (C) 2005 SLAC
+ *******************************************************************************/
+
+#include <assert.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtNonresonantAmp.hh"
+#include "EvtGenBase/EvtDalitzCoord.hh"
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+using std::endl;
+using EvtCyclic3::Index;
+using EvtCyclic3::Pair;
+
+
+EvtNonresonantAmp::EvtNonresonantAmp(EvtDalitzPlot *dp,
+ EvtPto3PAmp::NumType type,
+ EvtCyclic3::Pair pair1, double par1,
+ EvtCyclic3::Pair pair2, double par2,
+ EvtSpinType::spintype spin) :
+ EvtAmplitude<EvtDalitzPoint>(),
+ _type(type),
+ _pair1(pair1),
+ _pair2(pair2),
+ _par1(par1),
+ _par2(par2),
+ _spin(spin)
+{
+ _dalitzSpace = dp;
+}
+
+
+
+EvtNonresonantAmp::EvtNonresonantAmp(const EvtNonresonantAmp& other) :
+ EvtAmplitude<EvtDalitzPoint>(other),
+ _type(other._type),
+ _pair1(other._pair1),
+ _pair2(other._pair2),
+ _par1(other._par1),
+ _par2(other._par2),
+ _spin(other._spin)
+{
+ _dalitzSpace = other._dalitzSpace;
+}
+
+
+EvtNonresonantAmp::~EvtNonresonantAmp() {}
+
+
+
+EvtComplex
+EvtNonresonantAmp::amplitude(const EvtDalitzPoint &dalitzPoint) const {
+
+ // flat model
+ if (_type==EvtPto3PAmp::NONRES) { return 1; }
+
+ // "linear model" (prop. to m^2)
+ else if (_type==EvtPto3PAmp::NONRES_LIN) {
+ return dalitzPoint.q(_pair1);
+ }
+
+ // Chen-Chua-Soni
+ else if (_type==EvtPto3PAmp::NONRES_CCS) {
+ double s = dalitzPoint.q(_pair1);
+ double smin = _dalitzSpace->qAbsMin(_pair1);
+ return sqrt(s-smin)/(s*log(s*_par1));
+ }
+
+ // exp{par*m^2) (Belle model, Garmash et al, PRD71)
+ else if (_type==EvtPto3PAmp::NONRES_EXP) {
+ return exp( _par1*dalitzPoint.q(_pair1) );
+ }
+
+ // exp(par1*m12^2 + par2*m13^2) (Belle model, Garmash et al, PRD71)
+ else if (_type==EvtPto3PAmp::NONRES_EXP_ADD) {
+ return exp( _par1*dalitzPoint.q(_pair1) + _par2*dalitzPoint.q(_pair2) );
+ }
+
+ // Laura model (P.Harrison et al, BAD806)
+ else if (_type==EvtPto3PAmp::NONRES_LAURA) {
+ double m = sqrt( dalitzPoint.q(_pair1));
+ double mmin = sqrt(_dalitzSpace->qAbsMin(_pair1));
+ double dm = m-mmin;
+ assert(dm>0);
+ double cosTh = 1;
+ int ispin = EvtSpinType::getSpin2(_spin);
+ if (ispin>0) {
+ cosTh = dalitzPoint.cosTh( EvtCyclic3::next(_pair1), _pair1);
+ if (ispin>2) cosTh *= cosTh;
+ }
+ return pow(dm,_par1) * exp( dm*_par2 ) * cosTh;
+ }
+
+ return 0;
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author: Denis Dujmic, ddujmic@slac.stanford.edu
+ *
+ * Copyright (C) 2005 SLAC
+ *******************************************************************************/
+
+#ifndef EVT_NONRESONANT_AMP_HH
+#define EVT_NONRESONANT_AMP_HH
+
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+#include "EvtGenBase/EvtPto3PAmp.hh"
+#include "EvtGenBase/EvtAmplitude.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+
+class EvtComplex;
+
+
+
+class EvtNonresonantAmp : public EvtAmplitude<EvtDalitzPoint> {
+
+public:
+
+ EvtNonresonantAmp( EvtDalitzPlot *dp,
+ EvtPto3PAmp::NumType type,
+ EvtCyclic3::Pair pair1, double par1=0,
+ EvtCyclic3::Pair pair2=EvtCyclic3::AB, double par2=0,
+ EvtSpinType::spintype spin=EvtSpinType::SCALAR);
+
+
+ EvtNonresonantAmp(const EvtNonresonantAmp& other);
+
+ ~EvtNonresonantAmp();
+
+ virtual EvtComplex amplitude(const EvtDalitzPoint& p) const;
+
+ virtual EvtAmplitude<EvtDalitzPoint>* clone() const
+ { return new EvtNonresonantAmp(*this); }
+
+private:
+
+ EvtDalitzPlot *_dalitzSpace;
+
+ EvtPto3PAmp::NumType _type;
+
+ EvtCyclic3::Pair _pair1, _pair2;
+
+ double _par1, _par2;
+
+ EvtSpinType::spintype _spin;
+};
+
+#endif
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, LLNL
+//
+// Module: EvtGen/EvtOrthogVector.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Lange August 11, 2000 Created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include <string.h>
+#include "EvtGenBase/EvtOrthogVector.hh"
+using std::fstream;
+
+EvtOrthogVector::EvtOrthogVector(int n, std::vector<double> *vectors){
+
+ _dimen=n;
+ _holder.resize(n);
+
+ std::vector<int> temp;
+
+ int i;
+ for (i=0;i<n;i++) {
+ _orthogVector.push_back(0.);
+ temp.push_back(i);
+ }
+
+ findOrthog(_dimen,temp, vectors);
+
+}
+
+EvtOrthogVector::~EvtOrthogVector(){
+}
+
+void EvtOrthogVector::findOrthog(int dim, std::vector<int> invect,
+ std::vector<double> *vectors) {
+
+
+ if ( dim==2 ) {
+ _holder[0]=invect[0];
+ _holder[1]=invect[1];
+ int sign=findEvenOddSwaps();
+ {
+ double addition=1;
+ int i;
+ for (i=1; i<_dimen; i++){
+ addition*=vectors[i-1][_holder[i]];
+ }
+ addition*=sign;
+ _orthogVector[_holder[0]]+=addition;
+ }
+
+ _holder[0]=invect[1];
+ _holder[1]=invect[0];
+
+ {
+ double addition=1;
+ int i;
+ for (i=1; i<_dimen; i++){
+ addition*=vectors[i-1][_holder[i]];
+ }
+ addition*=sign;
+ _orthogVector[_holder[0]]-=addition;
+ }
+
+ return;
+ }
+ else{
+ std::vector<int> temp((2*dim));
+
+ int i;
+ for (i=0; i<dim; i++) temp[i]=invect[i];
+ for (i=0; i<dim; i++) temp[i+dim]=invect[i];
+
+ for (i=0; i<dim; i++) {
+ _holder[dim-1]=temp[dim-1+i];
+ std::vector<int> tempDim((dim-1));
+
+ int j;
+ for (j=0; j<(dim-1); j++) tempDim[j]=temp[j+i];
+ findOrthog(dim-1, tempDim, vectors);
+ }
+ }
+
+ return;
+}
+
+int EvtOrthogVector::findEvenOddSwaps() {
+
+ std::vector<int> temp(_dimen);
+
+ int i,j,nSwap;
+ for (i=0; i<_dimen; i++) temp[i]=_holder[i];
+
+ nSwap=0;
+ for (i=0; i<(_dimen-1); i++) {
+ for (j=i+1; j<_dimen; j++) {
+
+ if ( temp[i]>temp[j] ) {
+ int duh=temp[j];
+ temp[j]=temp[i];
+ temp[i]=duh;
+ nSwap+=1;
+ }
+ }
+ }
+ nSwap-= (nSwap/2)*2;
+
+ if ( nSwap ) return -1;
+
+ return 1;
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, LLNL
+//
+// Module: EvtGen/EvtOrthogVector.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Lange August 11, 2000 Created
+//
+//------------------------------------------------------------------------
+
+
+#ifndef EVTORTHOGVECTOR_HH
+#define EVTORTHOGVECTOR_HH
+
+#include <vector>
+
+class EvtOrthogVector {
+
+public:
+
+ EvtOrthogVector(int n,
+ std::vector<double> *vectors);
+
+ ~EvtOrthogVector();
+
+ std::vector<double> getOrthogVector() {return _orthogVector;}
+
+
+private:
+
+ int _dimen;
+ std::vector<int> _holder;
+ void findOrthog(int dim, std::vector<int> invect,
+ std::vector<double> *vectors);
+
+ std::vector<double> _orthogVector;
+
+ int findEvenOddSwaps();
+
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPDL.cc
+//
+// Description: routines to store particle properties in EvtPDL structure.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include <string.h>
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtPartProp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+using std::fstream;
+using std::ifstream;
+
+static int first=1;
+
+unsigned int EvtPDL::_firstAlias;
+int EvtPDL::_nentries;
+
+std::map<std::string,int> EvtPDL::_particleNameLookup;
+
+EvtPDL::EvtPDL() {
+
+ if (first!=0) {
+ first=0;
+ _nentries=0;
+ _firstAlias=999999;
+ }
+
+}
+
+
+EvtPDL::~EvtPDL(){
+
+}
+
+void EvtPDL::read(const char* fname)
+{
+ readPDT(fname);
+}
+
+void EvtPDL::readPDT(const std::string fname){
+
+
+ ifstream indec;
+
+ indec.open(fname.c_str());
+
+ char cmnd[100];
+ char xxxx[100];
+
+ char pname[100];
+ int stdhepid;
+ double mass;
+ double pwidth;
+ double pmaxwidth;
+ int chg3;
+ int spin2;
+ double ctau;
+ int lundkc;
+ EvtId i;
+
+ if (!indec) {
+ report(ERROR,"EvtGen") << "Could not open:"<<fname.c_str()<<"EvtPDL"<<endl;
+ return;
+ }
+
+ do{
+
+ char ch,ch1;
+
+ do{
+
+ indec.get(ch);
+ if (ch=='\n') indec.get(ch);
+ if (ch!='*') {
+ indec.putback(ch);
+ }
+ else{
+ while (indec.get(ch1),ch1!='\n');
+ }
+ } while(ch=='*');
+
+ indec >> cmnd;
+
+ if (strcmp(cmnd,"end")){
+
+ if (!strcmp(cmnd,"add")){
+
+ indec >> xxxx;
+ indec >> xxxx;
+ indec >> pname;
+ indec >> stdhepid;
+ indec >> mass;
+ indec >> pwidth;
+ indec >> pmaxwidth;
+ indec >> chg3;
+ indec >> spin2;
+ indec >> ctau;
+ indec >> lundkc;
+
+
+ i=EvtId(_nentries,_nentries);
+
+ EvtPartProp tmp;
+
+ tmp.setSpinType(EvtSpinType::SCALAR);
+
+
+ if (spin2==0) tmp.setSpinType(EvtSpinType::SCALAR);
+ if (spin2==1) tmp.setSpinType(EvtSpinType::DIRAC);
+ if (spin2==2) tmp.setSpinType(EvtSpinType::VECTOR);
+ if (spin2==3) tmp.setSpinType(EvtSpinType::RARITASCHWINGER);
+ if (spin2==4) tmp.setSpinType(EvtSpinType::TENSOR);
+ if (spin2==5) tmp.setSpinType(EvtSpinType::SPIN5HALF);
+ if (spin2==6) tmp.setSpinType(EvtSpinType::SPIN3);
+ if (spin2==7) tmp.setSpinType(EvtSpinType::SPIN7HALF);
+ if (spin2==8) tmp.setSpinType(EvtSpinType::SPIN4);
+ if (spin2==2 && mass < 0.0001 ) tmp.setSpinType(EvtSpinType::PHOTON);
+ if (spin2==1 && mass < 0.0001 ) tmp.setSpinType(EvtSpinType::NEUTRINO);
+
+
+ if (!strcmp(pname,"string")){
+ tmp.setSpinType(EvtSpinType::STRING);
+ }
+
+ if (!strcmp(pname,"vpho")){
+ tmp.setSpinType(EvtSpinType::VECTOR);
+ }
+
+
+ tmp.setId(i);
+ tmp.setIdChgConj(EvtId(-1,-1));
+ tmp.setStdHep(stdhepid);
+ tmp.setLundKC(lundkc);
+ tmp.setName(pname);
+ if (_particleNameLookup.find(std::string(pname))!=
+ _particleNameLookup.end()) {
+ report(ERROR,"EvtGen")<<"The particle name:"<<pname<<" is already defined."<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution.";
+ ::abort();
+ }
+ _particleNameLookup[std::string(pname)]=_nentries;
+ tmp.setctau(ctau);
+ tmp.setChg3(chg3);
+
+ tmp.initLineShape(mass,pwidth,pmaxwidth);
+
+
+ partlist().push_back(tmp);
+ _nentries++;
+
+ }
+
+ // if find a set read information and discard it
+
+ if (!strcmp(cmnd,"set")){
+
+ indec >> xxxx;
+ indec >> xxxx;
+ indec >> xxxx;
+ indec >> xxxx;
+ }
+
+ }
+
+ }while(strcmp(cmnd,"end"));
+
+ setUpConstsPdt();
+
+}
+
+
+void EvtPDL::aliasChgConj(EvtId a,EvtId abar){
+
+ if (EvtPDL::chargeConj(EvtId(a.getId(),a.getId()))!=
+ EvtId(abar.getId(),abar.getId())) {
+
+ report(ERROR,"EvtGen")<<"Can't charge conjugate the two aliases:"
+ <<EvtPDL::name(a).c_str()<<" and "<<EvtPDL::name(abar).c_str()<<endl;
+
+ ::abort();
+
+ }
+
+ partlist()[a.getAlias()].setIdChgConj(abar);
+ partlist()[abar.getAlias()].setIdChgConj(a);
+
+}
+
+EvtId EvtPDL::chargeConj(EvtId id){
+ EvtId idchg=partlist()[id.getAlias()].getIdChgConj();
+
+ if (idchg!=EvtId(-1,-1)) return idchg;
+
+ if (id.getId()!=id.getAlias()){
+ if (chargeConj(EvtId(id.getId(),id.getId()))==EvtId(id.getId(),id.getId())){
+
+ partlist()[id.getAlias()].setIdChgConj(id);
+ return id;
+ }
+ }
+
+ if (id.getAlias()!=id.getId()) {
+
+ report(ERROR,"EvtGen")<<"Trying to charge conjugate alias particle:"
+ <<name(id).c_str()<<" without defining the alias!"<<endl;
+
+ ::abort();
+
+ }
+
+ for (size_t i=0;i<partlist().size();i++){
+ if (partlist()[i].getStdHep()==-partlist()[id.getId()].getStdHep()){
+ partlist()[id.getId()].setIdChgConj(partlist()[i].getId());
+ return partlist()[i].getId();
+ }
+ }
+
+ partlist()[id.getId()].setIdChgConj(id);
+ return id;
+
+}
+
+EvtId EvtPDL::evtIdFromStdHep(int stdhep){
+
+ for (size_t i=0;i<partlist().size();i++){
+ if (partlist()[i].getStdHep()==stdhep)
+ return partlist()[i].getId();
+ }
+
+ return EvtId(-1,-1);
+
+}
+
+
+
+void EvtPDL::alias(EvtId num,const std::string& newname){
+
+ if ( _firstAlias < partlist().size() ) {
+ for(size_t i=_firstAlias;i<partlist().size();i--){
+ if (newname==partlist()[i].getName()){
+ report(WARNING,"EvtGen")<<"Redefining alias:"<<newname.c_str()<<" will be ignored!"<<endl;
+ return;
+ }
+ }
+ }
+ else{
+ _firstAlias=partlist().size();
+ }
+
+ partlist().push_back(partlist()[num.getId()]);
+ int entry=partlist().size()-1;
+ partlist()[entry].setName(newname);
+ if (_particleNameLookup.find(std::string(newname))!=
+ _particleNameLookup.end()){
+ report(ERROR,"EvtGen")<<"The particle name:"<<newname<<" is already defined."<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution.";
+ ::abort();
+ }
+ _particleNameLookup[std::string(newname)]=entry;
+ partlist()[entry].setId(EvtId(num.getId(),entry));
+ //Lange - Dec7, 2003. Unset the charge conjugate.
+ partlist()[entry].setIdChgConj(EvtId(-1,-1));
+
+}
+
+EvtId EvtPDL::getId(const std::string& name ){
+
+ std::map<std::string,int>::iterator it=_particleNameLookup.find(std::string(name));
+ if (it==_particleNameLookup.end()) return EvtId(-1,-1);
+
+ return partlist()[it->second].getId();
+
+}
+
+void EvtPDL::setUpConstsPdt(){
+
+}
+
+
+// Function to get EvtId from LundKC ( == Pythia Hep Code , KF )
+EvtId EvtPDL::evtIdFromLundKC(int pythiaId){
+
+ unsigned int i;
+
+ for (i=0;i<partlist().size();i++){
+ if (partlist()[i].getLundKC()==pythiaId)
+ return partlist()[i].getId();
+ }
+
+ return EvtId(-1,-1);
+
+}
+
+double EvtPDL::getMeanMass(EvtId i ) {
+ return partlist()[i.getId()].getMass();
+}
+
+double EvtPDL::getMass(EvtId i ) {
+ return partlist()[i.getId()].rollMass();
+}
+
+double EvtPDL::getRandMass(EvtId i, EvtId *parId, int nDaug, EvtId *dauId,
+ EvtId *othDaugId,double maxMass,
+ double *dauMasses ) {
+ return partlist()[i.getId()].getRandMass(parId,nDaug,dauId,
+ othDaugId,maxMass,dauMasses);
+}
+
+double EvtPDL::getMassProb(EvtId i, double mass, double massPar, int nDaug,
+ double *massDau) {
+ return partlist()[i.getId()].getMassProb(mass,massPar,nDaug,massDau);
+}
+
+double EvtPDL::getMaxMass(EvtId i ) {
+ return partlist()[i.getId()].getMassMax();
+}
+
+double EvtPDL::getMinMass(EvtId i ) {
+ return partlist()[i.getId()].getMassMin();
+}
+
+double EvtPDL::getMaxRange(EvtId i ) {
+ return partlist()[i.getId()].getMaxRange();
+}
+
+double EvtPDL::getWidth(EvtId i ) {
+ return partlist()[i.getId()].getWidth();
+}
+
+double EvtPDL::getctau(EvtId i ) {
+ return partlist()[i.getId()].getctau();
+}
+
+int EvtPDL::getStdHep(EvtId id ) {
+ return partlist()[id.getId()].getStdHep();
+}
+
+int EvtPDL::getLundKC(EvtId id ) {
+ return partlist()[id.getId()].getLundKC();
+}
+
+int EvtPDL::chg3(EvtId i ) {
+ return partlist()[i.getId()].getChg3();
+}
+
+EvtSpinType::spintype EvtPDL::getSpinType(EvtId i ) {
+ return partlist()[i.getId()].getSpinType();
+}
+
+std::string EvtPDL::name(EvtId i) {
+ return partlist()[i.getAlias()].getName();
+}
+
+size_t EvtPDL::entries() {
+ return partlist().size();
+}
+
+EvtId EvtPDL::getEntry(int i) {
+ return partlist()[i].getId();
+}
+
+void EvtPDL::reSetMass(EvtId i, double mass) {
+ partlist()[i.getId()].reSetMass(mass);
+}
+
+void EvtPDL::reSetWidth(EvtId i, double width) {
+ partlist()[i.getId()].reSetWidth(width);
+}
+
+void EvtPDL::reSetMassMin(EvtId i, double mass) {
+ partlist()[i.getId()].reSetMassMin(mass);
+}
+
+void EvtPDL::reSetMassMax(EvtId i,double mass) {
+ partlist()[i.getId()].reSetMassMax(mass);
+}
+
+void EvtPDL::reSetBlatt(EvtId i,double blatt) {
+ partlist()[i.getId()].reSetBlatt(blatt);
+}
+
+void EvtPDL::includeBirthFactor(EvtId i,bool yesno) {
+ partlist()[i.getId()].includeBirthFactor(yesno);
+}
+
+void EvtPDL::includeDecayFactor(EvtId i,bool yesno) {
+ partlist()[i.getId()].includeDecayFactor(yesno);
+}
+
+void EvtPDL::changeLS(EvtId i, std::string &newLS ) {
+ partlist()[i.getId()].newLineShape(newLS);
+}
+
+void EvtPDL::setPWForDecay(EvtId i, int spin, EvtId d1, EvtId d2) {
+ partlist()[i.getId()].setPWForDecay(spin,d1,d2);
+}
+
+void EvtPDL::setPWForBirthL(EvtId i, int spin, EvtId par, EvtId othD) {
+ partlist()[i.getId()].setPWForBirthL(spin,par,othD);
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPDL.hh
+//
+// Description:Class to keep track of particle properties.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPDL_HH
+#define EVTPDL_HH
+
+#include "EvtGenBase/EvtPartProp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtStringHash.hh"
+#include <vector>
+#include <map>
+
+const int SPIN_NAME_LENGTH = 100;
+
+class EvtPDL {
+
+public:
+
+ EvtPDL();
+
+ ~EvtPDL();
+
+ void read(const char* fname);
+ void readPDT(const std::string fname);
+
+
+ static double getMeanMass(EvtId i );
+ static double getMass(EvtId i );
+ static double getRandMass(EvtId i, EvtId *parId, int nDaug, EvtId *dauId, EvtId *othDaugId,double maxMass, double *dauMasses );
+ static double getMassProb(EvtId i, double mass, double massPar, int nDaug, double *massDau);
+
+ static double getMaxMass(EvtId i );
+ static double getMinMass(EvtId i );
+ //the number we got from PDT
+ static double getMaxRange(EvtId i );
+ static double getWidth(EvtId i );
+ static double getctau(EvtId i );
+ static int getStdHep(EvtId id );
+ static int getLundKC(EvtId id );
+
+ // Function to retrieve EvtId from PythiaID
+ static EvtId evtIdFromLundKC(int pythiaId );
+ static EvtId evtIdFromStdHep(int stdhep );
+ static EvtId chargeConj(EvtId id );
+ static int chg3(EvtId i );
+ static EvtSpinType::spintype getSpinType(EvtId i );
+ static EvtId getId(const std::string& name );
+ static std::string name(EvtId i);
+ static void alias(EvtId num,const std::string& newname);
+ static void aliasChgConj(EvtId a,EvtId abar);
+ static size_t entries();
+ static EvtId getEntry(int i);
+ static void reSetMass(EvtId i, double mass);
+ static void reSetWidth(EvtId i, double width);
+ static void reSetMassMin(EvtId i, double mass);
+ static void reSetMassMax(EvtId i,double mass);
+ static void reSetBlatt(EvtId i,double blatt);
+ static void includeBirthFactor(EvtId i,bool yesno);
+ static void includeDecayFactor(EvtId i,bool yesno);
+ static void changeLS(EvtId i, std::string &newLS );
+ static void setPWForDecay(EvtId i, int spin, EvtId d1, EvtId d2);
+ static void setPWForBirthL(EvtId i, int spin, EvtId par, EvtId othD);
+ static void fixLSForSP8(EvtId i) { partlist()[i.getId()].fixLSForSP8();}
+private:
+
+ void setUpConstsPdt();
+
+ static unsigned int _firstAlias;
+ static int _nentries;
+
+ static std::vector<EvtPartProp>& partlist() {
+ static std::vector<EvtPartProp> s_partlist;
+ return s_partlist;
+ }
+
+ static std::map<std::string, int> _particleNameLookup;
+
+}; // EvtPDL.h
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtParser.cc
+//
+// Description: Reading the decay table and produce a list of tokens.
+//
+// Modification history:
+//
+// RYD Febuary 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include <fstream>
+#include <sstream>
+#include <string.h>
+#include "EvtGenBase/EvtParser.hh"
+#include "EvtGenBase/EvtReport.hh"
+using namespace std;
+
+#define MAXBUF 1024
+
+EvtParser::EvtParser(){
+ _ntoken=0;
+ _lengthoftokenlist=0;
+ _tokenlist=0;
+ _linelist=0;
+}
+
+EvtParser::~EvtParser(){
+
+ delete [] _tokenlist;
+ delete [] _linelist;
+
+}
+
+
+int EvtParser::getNToken(){
+
+ return _ntoken;
+
+}
+
+const std::string& EvtParser::getToken(int i){
+
+ return _tokenlist[i];
+
+}
+
+int EvtParser::getLineofToken(int i){
+
+ return _linelist[i];
+
+}
+
+int EvtParser::read(const std::string filename){
+ ifstream fin;
+
+ fin.open(filename.c_str());
+ if (!fin) {
+ report(ERROR,"EvtGen") << "Could not open file '"<<filename.c_str()<<"'"<<endl;
+ return -1;
+ }
+
+ char buf[MAXBUF];
+ char buf2[MAXBUF];
+ char c;
+
+ int line=0;
+ int i;
+
+ while(fin.peek() != EOF){
+ line++;
+
+ i=0;
+ while((c=fin.get()) != '\n' && i<MAXBUF) {
+ buf[i]=c;
+ i++;
+ }
+ if(i==MAXBUF) {
+ report(ERROR,"EvtGen") << "Error in EvtParser: line:"
+ <<line<<" to long"<<endl;
+ }
+ else {
+ buf[i] = '\0';
+ }
+
+ //search for '#' which indicates comment for rest of line!
+ i=0;
+ do{
+ if (buf[i]=='#') buf[i]=0;
+ i++;
+ }while(buf[i-1]!=0);
+
+ string tmp(buf,strlen(buf));
+
+ //read each token
+ istringstream ist(tmp);
+ while(ist>>buf2){
+ i=0;
+ int semicolon=0;
+ do{
+ if (buf2[i]==';') {
+ buf2[i]=0;
+ semicolon=1;
+ }
+ }while(buf2[i++]!=0);
+ if (buf2[0]!=0){
+ addToken(line,buf2);
+ }
+ if (semicolon) addToken(line,";");
+ }
+ }
+
+ fin.close();
+
+ return 0;
+
+}
+
+
+
+void EvtParser::addToken(int line,const std::string& string){
+
+ //report(INFO,"EvtGen") <<_ntoken<<" "<<line<<" "<<string<<endl;
+
+ if (_ntoken==_lengthoftokenlist) {
+
+ int new_length=1000+4*_lengthoftokenlist;
+
+
+
+ int* newlinelist= new int[new_length];
+ std::string* newtokenlist= new std::string[new_length];
+
+ int i;
+
+ for(i=0;i<_ntoken;i++){
+ newlinelist[i]=_linelist[i];
+ newtokenlist[i]=_tokenlist[i];
+ }
+
+ delete [] _tokenlist;
+ delete [] _linelist;
+
+ _tokenlist=newtokenlist;
+ _linelist=newlinelist;
+
+ _lengthoftokenlist=new_length;
+
+ }
+
+
+ _tokenlist[_ntoken]=string;
+
+ _linelist[_ntoken]=line;
+
+ _ntoken++;
+
+ //report(INFO,"EvtGen") << "First:"<<_tokenlist[0]<<" last:"<<_tokenlist[_ntoken-1]<<endl;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtParser.hh
+//
+// Description:
+//
+// Modification history:
+//
+// RYD Febuary 11, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPARSER_HH
+#define EVTPARSER_HH
+
+#include <string>
+
+class EvtParser {
+public:
+ EvtParser();
+ ~EvtParser();
+
+ int read(const std::string filename);
+ int getNToken();
+ const std::string& getToken(int i);
+ int getLineofToken(int i);
+
+private:
+
+ int _ntoken;
+ std::string* _tokenlist;
+ int * _linelist;
+ int _lengthoftokenlist;
+
+ void addToken(int line,const std::string& string);
+
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+ //--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPartProp.cc
+//
+// Description: Store particle properties for one particle.
+//
+// Modification history:
+//
+// RYD April 4, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include "EvtGenBase/EvtPartProp.hh"
+#include "EvtGenBase/EvtAbsLineShape.hh"
+#include "EvtGenBase/EvtFlatLineShape.hh"
+#include "EvtGenBase/EvtManyDeltaFuncLineShape.hh"
+#include "EvtGenBase/EvtRelBreitWignerBarrierFact.hh"
+#include <string>
+using std::fstream;
+
+EvtPartProp::EvtPartProp():
+ _id(-1,-1)
+ ,_idchgconj(-1,-1)
+ ,_chg3(0)
+ ,_stdhep(0)
+ ,_lundkc(0)
+{
+ _lineShape=0;
+ _ctau=0.0;
+ _name="*******";
+ _spintype=EvtSpinType::SCALAR;
+}
+
+EvtPartProp::EvtPartProp(const EvtPartProp& x){
+
+ if (0!=x._lineShape){
+ _lineShape=x._lineShape->clone();
+ }
+ else{
+ _lineShape=0;
+ }
+ _ctau=x._ctau;
+ _name=x._name;
+ _spintype=x._spintype;
+ _id=x._id;
+ _idchgconj=x._idchgconj;
+ _chg3=x._chg3;
+ _stdhep=x._stdhep;
+ _lundkc=x._lundkc;
+
+}
+
+EvtPartProp::~EvtPartProp() {
+ if ( _lineShape ) delete _lineShape;
+ _lineShape=0;
+}
+
+
+void EvtPartProp::setName(std::string pname) {
+
+ _name=pname;
+
+}
+
+
+EvtPartProp& EvtPartProp::operator=(const EvtPartProp& x){
+
+ _lineShape=x._lineShape->clone();
+
+ _ctau=x._ctau;
+ _name=x._name;
+ _chg3=x._chg3;
+ _spintype=x._spintype;
+ return *this;
+}
+
+void EvtPartProp::initLineShape(double mass, double width, double maxRange){
+
+ _lineShape=new EvtRelBreitWignerBarrierFact(mass,width,maxRange,_spintype);
+
+}
+
+void EvtPartProp::newLineShape(std::string type){
+
+ double m=_lineShape->getMass();
+ double w=_lineShape->getWidth();
+ double mR=_lineShape->getMaxRange();
+ EvtSpinType::spintype st=_lineShape->getSpinType();
+ delete _lineShape;
+ if ( type == "RELBW" ) {
+ _lineShape=new EvtRelBreitWignerBarrierFact(m,w,mR,st);
+ }
+ if ( type == "NONRELBW" ) {
+ _lineShape = new EvtAbsLineShape(m,w,mR,st);
+ }
+ if ( type == "FLAT" ) {
+ _lineShape = new EvtFlatLineShape(m,w,mR,st);
+ }
+ if ( type == "MANYDELTAFUNC" ) {
+ _lineShape = new EvtManyDeltaFuncLineShape(m,w,mR,st);
+ }
+}
+
+
+void EvtPartProp::reSetMass(double mass) {
+ if (!_lineShape) ::abort();
+ _lineShape->reSetMass(mass);
+}
+void EvtPartProp::reSetWidth(double width){
+ if (!_lineShape) ::abort();
+ _lineShape->reSetWidth(width);
+}
+
+void EvtPartProp::setPWForDecay( int spin, EvtId d1, EvtId d2) {
+ if (!_lineShape) ::abort();
+ _lineShape->setPWForDecay(spin,d1,d2);
+}
+
+void EvtPartProp::setPWForBirthL( int spin, EvtId par, EvtId othD) {
+ if (!_lineShape) ::abort();
+ _lineShape->setPWForBirthL(spin,par,othD);
+}
+
+
+void EvtPartProp::reSetMassMin(double mass){
+ if (!_lineShape) ::abort();
+ _lineShape->reSetMassMin(mass);
+}
+void EvtPartProp::reSetMassMax(double mass){
+ if (!_lineShape) ::abort();
+ _lineShape->reSetMassMax(mass);
+}
+void EvtPartProp::reSetBlatt(double blatt){
+ if (!_lineShape) ::abort();
+ _lineShape->reSetBlatt(blatt);
+}
+void EvtPartProp::includeBirthFactor(bool yesno){
+ if (!_lineShape) ::abort();
+ _lineShape->includeBirthFactor(yesno);
+}
+void EvtPartProp::includeDecayFactor(bool yesno){
+ if (!_lineShape) ::abort();
+ _lineShape->includeDecayFactor(yesno);
+}
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPartProp.hh
+//
+// Description: Class to keep the particle properties for
+// one particle
+//
+// Modification history:
+//
+// RYD April 4, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPARTPROP_HH
+#define EVTPARTPROP_HH
+
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtAbsLineShape.hh"
+
+
+class EvtPartProp {
+
+public:
+
+ EvtPartProp();
+ EvtPartProp(const EvtPartProp& x);
+
+ ~EvtPartProp();
+
+ double getMass() {return _lineShape->getMass();}
+ double getMassMin() {return _lineShape->getMassMin();}
+ double getMassMax() {return _lineShape->getMassMax();}
+ double getMaxRange() {return _lineShape->getMaxRange();}
+ double getWidth() {return _lineShape->getWidth();}
+
+ double getRandMass(EvtId *parId, int nDaug, EvtId *dauId,EvtId *othDauId,double maxMass, double *dauMasses) {return _lineShape->getRandMass(parId,nDaug,dauId,othDauId,maxMass,dauMasses);}
+ double getMassProb(double mass, double massPar, int nDaug, double *massDau) { return _lineShape->getMassProb(mass,massPar,nDaug,massDau);}
+
+ double getctau() {return _ctau; }
+ void setctau(double tau) { _ctau=tau; }
+
+ int getChg3() {return _chg3; }
+ void setChg3(int c3) { _chg3=c3; }
+
+ EvtSpinType::spintype getSpinType() {return _spintype; }
+ void setSpinType(EvtSpinType::spintype stype ) { _spintype=stype; }
+
+ const std::string& getName() {return _name;}
+ void setName(std::string pname);
+
+ EvtId getId() {return _id;}
+ void setId(EvtId id) {_id=id;}
+
+ EvtId getIdChgConj() {return _idchgconj;}
+ void setIdChgConj(EvtId idchgconj) {_idchgconj=idchgconj;}
+
+ int getStdHep() {return _stdhep;}
+ void setStdHep(int stdhep) {_stdhep=stdhep;}
+
+ int getLundKC() {return _lundkc;}
+ void setLundKC(int lundkc) {_lundkc=lundkc;}
+
+ EvtAbsLineShape* getLineShape() {return _lineShape;}
+ void initLineShape(double mass, double width, double maxRange);
+ // void initLineShape(double mass, double width, double maxRange, double mDaug1, double mDaug2, int l);
+
+ // setLineShape takes ownership of l
+ void setLineShape(EvtAbsLineShape *l) { _lineShape=l;}
+ double rollMass(){return _lineShape->rollMass();}
+
+ EvtPartProp& operator=(const EvtPartProp& x);
+
+ void reSetMass(double mass);
+ void reSetWidth(double width);
+
+ void reSetMassMin(double mass);
+ void reSetMassMax(double mass);
+ void reSetBlatt(double blatt);
+ void includeBirthFactor(bool yesno);
+ void includeDecayFactor(bool yesno);
+ void newLineShape(std::string type);
+ void setPWForDecay( int spin, EvtId d1, EvtId d2);
+ void setPWForBirthL( int spin, EvtId par, EvtId othD);
+ void fixLSForSP8() {_lineShape->fixForSP8();}
+
+private:
+
+ EvtAbsLineShape *_lineShape;
+
+ double _ctau;
+ EvtId _id;
+ EvtId _idchgconj;
+ EvtSpinType::spintype _spintype;
+ int _chg3;
+ int _stdhep;
+ int _lundkc;
+ std::string _name;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtParticle.cc
+//
+// Description: Class to describe all particles
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include <sys/stat.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtRadCorr.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtDiracParticle.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtTensorParticle.hh"
+#include "EvtGenBase/EvtPhotonParticle.hh"
+#include "EvtGenBase/EvtNeutrinoParticle.hh"
+#include "EvtGenBase/EvtRaritaSchwingerParticle.hh"
+#include "EvtGenBase/EvtStringParticle.hh"
+#include "EvtGenBase/EvtStdHep.hh"
+#include "EvtGenBase/EvtSecondary.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtParticleFactory.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+
+using std::endl;
+
+
+
+EvtParticle::~EvtParticle() {
+ delete _decayProb;
+}
+
+EvtParticle::EvtParticle() {
+ _ndaug=0;
+ _parent=0;
+ _channel=-10;
+ _t=0.0;
+ _genlifetime=1;
+ _first=1;
+ _isInit=false;
+ _validP4=false;
+ _isDecayed=false;
+ _decayProb=0;
+ // _mix=false;
+}
+
+void EvtParticle::setFirstOrNot() {
+ _first=0;
+}
+void EvtParticle::resetFirstOrNot() {
+ _first=1;
+}
+
+void EvtParticle::setChannel( int i ) {
+ _channel=i;
+}
+
+EvtParticle *EvtParticle::getDaug(int i) { return _daug[i]; }
+
+EvtParticle *EvtParticle::getParent() const { return _parent;}
+
+void EvtParticle::setLifetime(double tau){
+ _t=tau;
+}
+
+void EvtParticle::setLifetime(){
+ if (_genlifetime){
+ _t=-log(EvtRandom::Flat())*EvtPDL::getctau(getId());
+ }
+}
+
+double EvtParticle::getLifetime(){
+
+ return _t;
+}
+
+void EvtParticle::addDaug(EvtParticle *node) {
+ node->_daug[node->_ndaug++]=this;
+ _ndaug=0;
+ _parent=node;
+}
+
+
+int EvtParticle::firstornot() const { return _first;}
+
+EvtId EvtParticle::getId() const { return _id;}
+
+EvtSpinType::spintype EvtParticle::getSpinType() const
+ { return EvtPDL::getSpinType(_id);}
+
+int EvtParticle::getSpinStates() const
+ { return EvtSpinType::getSpinStates(EvtPDL::getSpinType(_id));}
+
+const EvtVector4R& EvtParticle::getP4() const { return _p;}
+
+int EvtParticle::getChannel() const { return _channel;}
+
+size_t EvtParticle::getNDaug() const { return _ndaug;}
+
+double EvtParticle::mass() const {
+
+ return _p.mass();
+}
+
+
+void EvtParticle::setDiagonalSpinDensity(){
+
+ _rhoForward.setDiag(getSpinStates());
+}
+
+void EvtParticle::setVectorSpinDensity(){
+
+ if (getSpinStates()!=3) {
+ report(ERROR,"EvtGen")<<"Error in EvtParticle::setVectorSpinDensity"<<endl;
+ report(ERROR,"EvtGen")<<"spin_states:"<<getSpinStates()<<endl;
+ report(ERROR,"EvtGen")<<"particle:"<<EvtPDL::name(_id).c_str()<<endl;
+ ::abort();
+ }
+
+ EvtSpinDensity rho;
+
+ //Set helicity +1 and -1 to 1.
+ rho.setDiag(getSpinStates());
+ rho.set(1,1,EvtComplex(0.0,0.0));
+
+ setSpinDensityForwardHelicityBasis(rho);
+
+}
+
+
+void EvtParticle::setSpinDensityForwardHelicityBasis(const EvtSpinDensity& rho){
+
+ EvtSpinDensity R=rotateToHelicityBasis();
+
+ assert(R.getDim()==rho.getDim());
+
+ int n=rho.getDim();
+
+ _rhoForward.setDim(n);
+
+ int i,j,k,l;
+
+ for(i=0;i<n;i++){
+ for(j=0;j<n;j++){
+ EvtComplex tmp=0.0;
+ for(k=0;k<n;k++){
+ for(l=0;l<n;l++){
+ tmp+=R.get(l,i)*rho.get(l,k)*conj(R.get(k,j));
+ }
+ }
+ _rhoForward.set(i,j,tmp);
+ }
+ }
+
+}
+
+void EvtParticle::setSpinDensityForwardHelicityBasis(const EvtSpinDensity& rho,
+ double alpha,
+ double beta,
+ double gamma){
+
+ EvtSpinDensity R=rotateToHelicityBasis(alpha,beta,gamma);
+
+ assert(R.getDim()==rho.getDim());
+
+ int n=rho.getDim();
+
+ _rhoForward.setDim(n);
+
+ int i,j,k,l;
+
+ for(i=0;i<n;i++){
+ for(j=0;j<n;j++){
+ EvtComplex tmp=0.0;
+ for(k=0;k<n;k++){
+ for(l=0;l<n;l++){
+ tmp+=R.get(l,i)*rho.get(l,k)*conj(R.get(k,j));
+ }
+ }
+ _rhoForward.set(i,j,tmp);
+ }
+ }
+
+}
+
+void EvtParticle::initDecay(bool useMinMass) {
+
+ EvtParticle* p=this;
+ // carefull - the parent mass might be fixed in stone..
+ EvtParticle* par=p->getParent();
+ double parMass=-1.;
+ if ( par != 0 ) {
+ if ( par->hasValidP4() ) parMass=par->mass();
+ for (size_t i=0;i<par->getNDaug();i++) {
+ EvtParticle *tDaug=par->getDaug(i);
+ if ( p != tDaug )
+ parMass-=EvtPDL::getMinMass(tDaug->getId());
+ }
+ }
+
+ if ( _isInit ) {
+ //we have already been here - just reroll the masses!
+ if ( _ndaug>0) {
+ for(size_t ii=0;ii<_ndaug;ii++){
+ if ( _ndaug==1 || EvtPDL::getWidth(p->getDaug(ii)->getId()) > 0.0000001)
+ p->getDaug(ii)->initDecay(useMinMass);
+ else p->getDaug(ii)->setMass(EvtPDL::getMeanMass(p->getDaug(ii)->getId()));
+ }
+ }
+
+ EvtId *dauId=0;
+ double *dauMasses=0;
+ if ( _ndaug > 0) {
+ dauId=new EvtId[_ndaug];
+ dauMasses=new double[_ndaug];
+ for (size_t j=0;j<_ndaug;j++) {
+ dauId[j]=p->getDaug(j)->getId();
+ dauMasses[j]=p->getDaug(j)->mass();
+ }
+ }
+ EvtId *parId=0;
+ EvtId *othDauId=0;
+ EvtParticle *tempPar=p->getParent();
+ if (tempPar) {
+ parId=new EvtId(tempPar->getId());
+ if ( tempPar->getNDaug()==2 ) {
+ if ( tempPar->getDaug(0) == this ) othDauId=new EvtId(tempPar->getDaug(1)->getId());
+ else othDauId=new EvtId(tempPar->getDaug(0)->getId());
+ }
+ }
+ if ( p->getParent() && _validP4==false ) {
+ if ( !useMinMass ) {
+ p->setMass(EvtPDL::getRandMass(p->getId(),parId,_ndaug,dauId,othDauId,parMass,dauMasses));
+ }
+ else p->setMass(EvtPDL::getMinMass(p->getId()));
+ }
+ if ( parId) delete parId;
+ if ( othDauId) delete othDauId;
+ if ( dauId) delete [] dauId;
+ if ( dauMasses) delete [] dauMasses;
+ return;
+ }
+
+
+ //Will include effects of mixing here
+ //added by Lange Jan4,2000
+ static EvtId BS0=EvtPDL::getId("B_s0");
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BD0=EvtPDL::getId("B0");
+ static EvtId BDB=EvtPDL::getId("anti-B0");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId U4S=EvtPDL::getId("Upsilon(4S)");
+ static EvtIdSet borUps(BS0,BSB,BD0,BDB,U4S);
+
+ //only makes sense if there is no parent particle which is a B or an Upsilon
+ bool hasBorUps=false;
+ if ( getParent() && borUps.contains(getParent()->getId()) ) hasBorUps=true;
+ // if ( (getNDaug()==0)&&(getParent()==0) && (getId()==BS0||getId()==BSB||getId()==BD0||getId()==BDB)){
+ EvtId thisId=getId();
+ // remove D0 mixing for now.
+ // if ( (getNDaug()==0 && !hasBorUps) && (thisId==BS0||thisId==BSB||thisId==BD0||thisId==BDB||thisId==D0||thisId==D0B)){
+ if ( (getNDaug()==0 && !hasBorUps) && (thisId==BS0||thisId==BSB||thisId==BD0||thisId==BDB)){
+ double t;
+ int mix;
+ EvtCPUtil::incoherentMix(getId(), t, mix);
+ setLifetime(t);
+
+ if (mix) {
+
+ EvtScalarParticle* scalar_part;
+
+ scalar_part=new EvtScalarParticle;
+ if (getId()==BS0) {
+ EvtVector4R p_init(EvtPDL::getMass(BSB),0.0,0.0,0.0);
+ scalar_part->init(BSB,p_init);
+ }
+ else if (getId()==BSB) {
+ EvtVector4R p_init(EvtPDL::getMass(BS0),0.0,0.0,0.0);
+ scalar_part->init(BS0,p_init);
+ }
+ else if (getId()==BD0) {
+ EvtVector4R p_init(EvtPDL::getMass(BDB),0.0,0.0,0.0);
+ scalar_part->init(BDB,p_init);
+ }
+ else if (getId()==BDB) {
+ EvtVector4R p_init(EvtPDL::getMass(BD0),0.0,0.0,0.0);
+ scalar_part->init(BD0,p_init);
+ }
+ else if (getId()==D0) {
+ EvtVector4R p_init(EvtPDL::getMass(D0B),0.0,0.0,0.0);
+ scalar_part->init(D0B,p_init);
+ }
+ else if (getId()==D0B) {
+ EvtVector4R p_init(EvtPDL::getMass(D0),0.0,0.0,0.0);
+ scalar_part->init(D0,p_init);
+ }
+
+ scalar_part->setLifetime(0);
+ scalar_part->setDiagonalSpinDensity();
+
+ insertDaugPtr(0,scalar_part);
+
+ _ndaug=1;
+ _isInit=true;
+ p=scalar_part;
+ p->initDecay(useMinMass);
+ return;
+
+
+ }
+ }
+ if ( _ndaug==1 ) std::cout << "hi " << EvtPDL::name(this->getId()) << std::endl;
+
+ EvtDecayBase *decayer;
+ decayer = EvtDecayTable::getDecayFunc(p);
+
+ if ( decayer ) {
+ p->makeDaughters(decayer->nRealDaughters(),decayer->getDaugs());
+ //then loop over the daughters and init their decay
+ for(size_t i=0;i<p->getNDaug();i++){
+ // std::cout << EvtPDL::name(p->getDaug(i)->getId()) << " " << i << " " << p->getDaug(i)->getSpinType() << " " << EvtPDL::name(p->getId()) << std::endl;
+ if ( EvtPDL::getWidth(p->getDaug(i)->getId()) > 0.0000001)
+ p->getDaug(i)->initDecay(useMinMass);
+ else p->getDaug(i)->setMass(EvtPDL::getMeanMass(p->getDaug(i)->getId()));
+ }
+ }
+
+ int j;
+ EvtId *dauId=0;
+ double *dauMasses=0;
+ int nDaugT=p->getNDaug();
+ if ( nDaugT > 0) {
+ dauId=new EvtId[nDaugT];
+ dauMasses=new double[nDaugT];
+ for (j=0;j<nDaugT;j++) {
+ dauId[j]=p->getDaug(j)->getId();
+ dauMasses[j]=p->getDaug(j)->mass();
+ }
+ }
+
+ EvtId *parId=0;
+ EvtId *othDauId=0;
+ EvtParticle *tempPar=p->getParent();
+ if (tempPar) {
+ parId=new EvtId(tempPar->getId());
+ if ( tempPar->getNDaug()==2 ) {
+ if ( tempPar->getDaug(0) == this ) othDauId=new EvtId(tempPar->getDaug(1)->getId());
+ else othDauId=new EvtId(tempPar->getDaug(0)->getId());
+ }
+ }
+ if ( p->getParent() && p->hasValidP4()==false ) {
+ if ( !useMinMass ) {
+ p->setMass(EvtPDL::getRandMass(p->getId(),parId,p->getNDaug(),dauId,othDauId,parMass,dauMasses));
+ }
+ else {
+ p->setMass(EvtPDL::getMinMass(p->getId()));
+ }
+ }
+ if ( parId) delete parId;
+ if ( othDauId) delete othDauId;
+ if ( dauId) delete [] dauId;
+ if ( dauMasses) delete [] dauMasses;
+ _isInit=true;
+}
+
+
+void EvtParticle::decay(){
+ //P is particle to decay, typically 'this' but sometime
+ //modified by mixing
+ EvtParticle* p=this;
+ //Did it mix?
+ //if ( p->getMixed() ) {
+ //should take C(p) - this should only
+ //happen the first time we call decay for this
+ //particle
+ //p->takeCConj();
+ // p->setUnMixed();
+ //}
+
+ EvtDecayBase *decayer;
+ decayer = EvtDecayTable::getDecayFunc(p);
+ // if ( decayer ) {
+ // report(INFO,"EvtGen") << "calling decay for " << EvtPDL::name(p->getId()) << " " << p->mass() << " " << p->getP4() << " " << p->getNDaug() << " " << p << endl;
+ // report(INFO,"EvtGen") << "NDaug= " << decayer->getNDaug() << endl;
+ // int ti;
+ // for ( ti=0; ti<decayer->getNDaug(); ti++)
+ // report(INFO,"EvtGen") << "Daug " << ti << " " << EvtPDL::name(decayer->getDaug(ti)) << endl;
+ // }
+ //if (p->_ndaug>0) {
+ // report(INFO,"EvtGen") <<"Is decaying particle with daughters!!!!!"<<endl;
+ // ::abort();
+ //return;
+ //call initdecay first - April 29,2002 - Lange
+ //}
+
+ //if there are already daughters, then this step is already done!
+ // figure out the masses
+ if ( _ndaug == 0 ) generateMassTree();
+
+ static EvtId BS0=EvtPDL::getId("B_s0");
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BD0=EvtPDL::getId("B0");
+ static EvtId BDB=EvtPDL::getId("anti-B0");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+
+ EvtId thisId=getId();
+ // remove D0 mixing for now..
+ // if ( _ndaug==1 && (thisId==BS0||thisId==BSB||thisId==BD0||thisId==BDB||thisId==D0||thisId==D0B) ) {
+ if ( _ndaug==1 && (thisId==BS0||thisId==BSB||thisId==BD0||thisId==BDB) ) {
+ p=p->getDaug(0);
+ decayer = EvtDecayTable::getDecayFunc(p);
+ }
+ //now we have accepted a set of masses - time
+ if ( decayer != 0) {
+ decayer->makeDecay(p);
+ }
+ else{
+ p->_rhoBackward.setDiag(p->getSpinStates());
+ }
+
+ _isDecayed=true;
+ return;
+}
+
+void EvtParticle::generateMassTree() {
+ double massProb=1.;
+ double ranNum=2.;
+ int counter=0;
+ EvtParticle *p=this;
+ while (massProb<ranNum) {
+ //check it out the first time.
+ p->initDecay();
+ massProb=p->compMassProb();
+ ranNum=EvtRandom::Flat();
+ counter++;
+
+ if ( counter > 10000 ) {
+ if ( counter == 10001 ) {
+ report(INFO,"EvtGen") << "Too many iterations to determine the mass tree. Parent mass= "<< p->mass() << " " << massProb <<endl;
+ p->printTree();
+ report(INFO,"EvtGen") << "will take next combo with non-zero likelihood\n";
+ }
+ if ( massProb>0. ) massProb=2.0;
+ if ( counter > 20000 ) {
+ // one last try - take the minimum masses
+ p->initDecay(true);
+ p->printTree();
+ massProb=p->compMassProb();
+ if ( massProb>0. ) {
+ massProb=2.0;
+ report(INFO,"EvtGen") << "Taking the minimum mass of all particles in the chain\n";
+ }
+ else {
+ report(INFO,"EvtGen") << "Sorry, no luck finding a valid set of masses. This may be a pathological combo\n";
+ assert(0);
+ }
+ }
+ }
+ }
+}
+
+double EvtParticle::compMassProb() {
+
+ EvtParticle *p=this;
+ double mass=p->mass();
+ double parMass=0.;
+ if ( p->getParent()) {
+ parMass=p->getParent()->mass();
+ }
+
+ int nDaug=p->getNDaug();
+ double *dMasses=0;
+
+ int i;
+ if ( nDaug>0 ) {
+ dMasses=new double[nDaug];
+ for (i=0; i<nDaug; i++) dMasses[i]=p->getDaug(i)->mass();
+ }
+
+ double temp=1.0;
+ temp=EvtPDL::getMassProb(p->getId(), mass, parMass, nDaug, dMasses);
+
+ //If the particle already has a mass, we dont need to include
+ //it in the probability calculation
+ if ( (!p->getParent() || _validP4 ) && temp>0.0 ) temp=1.;
+
+ delete [] dMasses;
+ for (i=0; i<nDaug; i++) {
+ temp*=p->getDaug(i)->compMassProb();
+ }
+ return temp;
+}
+
+void EvtParticle::deleteDaughters(bool keepChannel){
+
+ for(size_t i=0;i<_ndaug;i++){
+ _daug[i]->deleteTree();
+ }
+
+ _ndaug=0;
+ if ( !keepChannel) _channel=-10;
+ _first=1;
+ _isInit=false;
+}
+
+void EvtParticle::deleteTree(){
+
+ this->deleteDaughters();
+
+ delete this;
+
+}
+
+EvtVector4C EvtParticle::epsParent(int i) const {
+ EvtVector4C temp;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th polarization vector."
+ <<" I.e. you thought it was a"
+ <<" vector particle!" << endl;
+ ::abort();
+ return temp;
+}
+
+EvtVector4C EvtParticle::eps(int i) const {
+ EvtVector4C temp;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th polarization vector."
+ <<" I.e. you thought it was a"
+ <<" vector particle!" << endl;
+ ::abort();
+ return temp;
+}
+
+EvtVector4C EvtParticle::epsParentPhoton(int i){
+ EvtVector4C temp;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th polarization vector of photon."
+ <<" I.e. you thought it was a"
+ <<" photon particle!" << endl;
+ ::abort();
+ return temp;
+}
+
+EvtVector4C EvtParticle::epsPhoton(int i){
+ EvtVector4C temp;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th polarization vector of a photon."
+ <<" I.e. you thought it was a"
+ <<" photon particle!" << endl;
+ ::abort();
+ return temp;
+}
+
+EvtDiracSpinor EvtParticle::spParent(int i) const {
+ EvtDiracSpinor tempD;
+ int temp;
+ temp = i;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th dirac spinor."
+ <<" I.e. you thought it was a"
+ <<" Dirac particle!" << endl;
+ ::abort();
+ return tempD;
+}
+
+EvtDiracSpinor EvtParticle::sp(int i) const {
+ EvtDiracSpinor tempD;
+ int temp;
+ temp = i;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th dirac spinor."
+ <<" I.e. you thought it was a"
+ <<" Dirac particle!" << endl;
+ ::abort();
+ return tempD;
+}
+
+EvtDiracSpinor EvtParticle::spParentNeutrino() const {
+ EvtDiracSpinor tempD;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the "
+ <<"dirac spinor."
+ <<" I.e. you thought it was a"
+ <<" neutrino particle!" << endl;
+ ::abort();
+ return tempD;
+}
+
+EvtDiracSpinor EvtParticle::spNeutrino() const {
+ EvtDiracSpinor tempD;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the "
+ <<"dirac spinor."
+ <<" I.e. you thought it was a"
+ <<" neutrino particle!" << endl;
+ ::abort();
+ return tempD;
+}
+
+EvtTensor4C EvtParticle::epsTensorParent(int i) const {
+ int temp;
+ temp = i;
+ EvtTensor4C tempC;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th tensor."
+ <<" I.e. you thought it was a"
+ <<" Tensor particle!" << endl;
+ ::abort();
+ return tempC;
+}
+
+EvtTensor4C EvtParticle::epsTensor(int i) const {
+ int temp;
+ temp = i;
+ EvtTensor4C tempC;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th tensor."
+ <<" I.e. you thought it was a"
+ <<" Tensor particle!" << endl;
+ ::abort();
+ return tempC;
+}
+
+
+EvtRaritaSchwinger EvtParticle::spRSParent(int i) const {
+ EvtRaritaSchwinger tempD;
+ int temp;
+ temp = i;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th Rarita-Schwinger spinor."
+ <<" I.e. you thought it was a"
+ <<" RaritaSchwinger particle!" << std::endl;
+ ::abort();
+ return tempD;
+}
+
+EvtRaritaSchwinger EvtParticle::spRS(int i) const {
+ EvtRaritaSchwinger tempD;
+ int temp;
+ temp = i;
+ printParticle();
+ report(ERROR,"EvtGen") << "and you have asked for the:"<<i
+ <<"th Rarita-Schwinger spinor."
+ <<" I.e. you thought it was a"
+ <<" RaritaSchwinger particle!" << std::endl;
+ ::abort();
+ return tempD;
+}
+
+
+
+EvtVector4R EvtParticle::getP4Lab() const {
+ EvtVector4R temp,mom;
+ const EvtParticle *ptemp;
+
+ temp=this->getP4();
+ ptemp=this;
+
+ while (ptemp->getParent()!=0) {
+ ptemp=ptemp->getParent();
+ mom=ptemp->getP4();
+ temp=boostTo(temp,mom);
+ }
+ return temp;
+}
+
+EvtVector4R EvtParticle::getP4LabBeforeFSR() {
+ EvtVector4R temp,mom;
+ EvtParticle *ptemp;
+
+ temp=this->_pBeforeFSR;
+ ptemp=this;
+
+ while (ptemp->getParent()!=0) {
+ ptemp=ptemp->getParent();
+ mom=ptemp->getP4();
+ temp=boostTo(temp,mom);
+ }
+ return temp;
+}
+
+
+
+EvtVector4R EvtParticle::getP4Restframe() const {
+
+ return EvtVector4R(mass(),0.0,0.0,0.0);
+
+}
+
+EvtVector4R EvtParticle::get4Pos() const {
+
+ EvtVector4R temp,mom;
+ EvtParticle *ptemp;
+
+ temp.set(0.0,0.0,0.0,0.0);
+ ptemp=getParent();
+
+ if (ptemp==0) return temp;
+
+ temp=(ptemp->_t/ptemp->mass())*(ptemp->getP4());
+
+ while (ptemp->getParent()!=0) {
+ ptemp=ptemp->getParent();
+ mom=ptemp->getP4();
+ temp=boostTo(temp,mom);
+ temp=temp+(ptemp->_t/ptemp->mass())*(ptemp->getP4());
+ }
+
+ return temp;
+}
+
+
+EvtParticle * EvtParticle::nextIter(EvtParticle *rootOfTree) {
+
+ EvtParticle *bpart;
+ EvtParticle *current;
+
+ current=this;
+ size_t i;
+
+ if (_ndaug!=0) return _daug[0];
+
+ do{
+ bpart=current->_parent;
+ if (bpart==0) return 0;
+ i=0;
+ while (bpart->_daug[i]!=current) {i++;}
+
+ if ( bpart==rootOfTree ) {
+ if ( i+1 == bpart->_ndaug ) return 0;
+ }
+
+ i++;
+ current=bpart;
+
+ }while(i>=bpart->_ndaug);
+
+ return bpart->_daug[i];
+
+}
+
+
+void EvtParticle::makeStdHep(EvtStdHep& stdhep,EvtSecondary& secondary,
+ EvtId *list_of_stable){
+
+ //first add particle to the stdhep list;
+ stdhep.createParticle(getP4Lab(),get4Pos(),-1,-1,
+ EvtPDL::getStdHep(getId()));
+
+ int ii=0;
+
+ //lets see if this is a longlived particle and terminate the
+ //list building!
+
+ while (list_of_stable[ii]!=EvtId(-1,-1)) {
+ if (getId()==list_of_stable[ii]){
+ secondary.createSecondary(0,this);
+ return;
+ }
+ ii++;
+ }
+
+
+
+ for(size_t i=0;i<_ndaug;i++){
+ stdhep.createParticle(_daug[i]->getP4Lab(),_daug[i]->get4Pos(),0,0,
+ EvtPDL::getStdHep(_daug[i]->getId()));
+ }
+
+ for(size_t i=0;i<_ndaug;i++){
+ _daug[i]->makeStdHepRec(1+i,1+i,stdhep,secondary,list_of_stable);
+ }
+ return;
+
+}
+
+void EvtParticle::makeStdHep(EvtStdHep& stdhep){
+
+ //first add particle to the stdhep list;
+ stdhep.createParticle(getP4Lab(),get4Pos(),-1,-1,
+ EvtPDL::getStdHep(getId()));
+
+ for(size_t i=0;i<_ndaug;i++){
+ stdhep.createParticle(_daug[i]->getP4Lab(),_daug[i]->get4Pos(),0,0,
+ EvtPDL::getStdHep(_daug[i]->getId()));
+ }
+
+ for(size_t i=0;i<_ndaug;i++){
+ _daug[i]->makeStdHepRec(1+i,1+i,stdhep);
+ }
+ return;
+
+}
+
+
+void EvtParticle::makeStdHepRec(int firstparent,int lastparent,
+ EvtStdHep& stdhep,
+ EvtSecondary& secondary,
+ EvtId *list_of_stable){
+
+
+ int ii=0;
+
+ //lets see if this is a longlived particle and terminate the
+ //list building!
+
+ while (list_of_stable[ii]!=EvtId(-1,-1)) {
+ if (getId()==list_of_stable[ii]){
+ secondary.createSecondary(firstparent,this);
+ return;
+ }
+ ii++;
+ }
+
+
+
+ int parent_num=stdhep.getNPart();
+ for(size_t i=0;i<_ndaug;i++){
+ stdhep.createParticle(_daug[i]->getP4Lab(),_daug[i]->get4Pos(),
+ firstparent,lastparent,
+ EvtPDL::getStdHep(_daug[i]->getId()));
+ }
+
+ for(size_t i=0;i<_ndaug;i++){
+ _daug[i]->makeStdHepRec(parent_num+i,parent_num+i,stdhep,
+ secondary,list_of_stable);
+ }
+ return;
+
+}
+
+void EvtParticle::makeStdHepRec(int firstparent,int lastparent,
+ EvtStdHep& stdhep){
+
+ int parent_num=stdhep.getNPart();
+ for(size_t i=0;i<_ndaug;i++){
+ stdhep.createParticle(_daug[i]->getP4Lab(),_daug[i]->get4Pos(),
+ firstparent,lastparent,
+ EvtPDL::getStdHep(_daug[i]->getId()));
+ }
+
+ for(size_t i=0;i<_ndaug;i++){
+ _daug[i]->makeStdHepRec(parent_num+i,parent_num+i,stdhep);
+ }
+ return;
+
+}
+
+void EvtParticle::printTreeRec(unsigned int level) const {
+
+ size_t newlevel,i;
+ newlevel = level +1;
+
+
+ if (_ndaug!=0) {
+ if ( level > 0 ) {
+ for (i=0;i<(5*level);i++) {
+ report(INFO,"") <<" ";
+ }
+ }
+ report(INFO,"") << EvtPDL::name(_id).c_str();
+ report(INFO,"") << " -> ";
+ for(i=0;i<_ndaug;i++){
+ report(INFO,"") << EvtPDL::name(_daug[i]->getId()).c_str()<<" ";
+ }
+ for(i=0;i<_ndaug;i++){
+ report(INFO,"") << _daug[i]->mass()<<" " << _daug[i]->getSpinStates() << " ";
+ }
+ report(INFO,"")<<endl;
+ for(i=0;i<_ndaug;i++){
+ _daug[i]->printTreeRec(newlevel);
+ }
+ }
+}
+
+void EvtParticle::printTree() const {
+
+ report(INFO,"EvtGen") << "This is the current decay chain"<<endl;
+ report(INFO,"") << "This top particle is "<<
+ EvtPDL::name(_id).c_str()<<" " << this->mass() << " " << this->getP4() << endl;
+
+ this->printTreeRec(0);
+ report(INFO,"EvtGen") << "End of decay chain."<<endl;
+
+}
+
+std::string EvtParticle::treeStrRec(unsigned int level) const {
+
+ size_t newlevel,i;
+ newlevel = level +1;
+
+ std::string retval="";
+
+ for(i=0;i<_ndaug;i++){
+ retval+=EvtPDL::name(_daug[i]->getId());
+ if ( _daug[i]->getNDaug() > 0 ) {
+ retval+= " (";
+ retval+= _daug[i]->treeStrRec(newlevel);
+ retval+= ") ";
+ }
+ else{
+ if ( i+1 !=_ndaug) retval+=" ";
+ }
+ }
+
+ return retval;
+}
+
+
+std::string EvtParticle::treeStr() const {
+
+ std::string retval=EvtPDL::name(_id);
+ retval+=" -> ";
+
+ retval+=treeStrRec(0);
+
+ return retval;
+}
+
+void EvtParticle::printParticle() const {
+
+ switch (EvtPDL::getSpinType(_id)){
+ case EvtSpinType::SCALAR:
+ report(INFO,"EvtGen") << "This is a scalar particle:"<<EvtPDL::name(_id).c_str()<<"\n";
+ break;
+ case EvtSpinType::VECTOR:
+ report(INFO,"EvtGen") << "This is a vector particle:"<<EvtPDL::name(_id).c_str()<<"\n";
+ break;
+ case EvtSpinType::TENSOR:
+ report(INFO,"EvtGen") << "This is a tensor particle:"<<EvtPDL::name(_id).c_str()<<"\n";
+ break;
+ case EvtSpinType::DIRAC:
+ report(INFO,"EvtGen") << "This is a dirac particle:"<<EvtPDL::name(_id).c_str()<<"\n";
+ break;
+ case EvtSpinType::PHOTON:
+ report(INFO,"EvtGen") << "This is a photon:"<<EvtPDL::name(_id).c_str()<<"\n";
+ break;
+ case EvtSpinType::NEUTRINO:
+ report(INFO,"EvtGen") << "This is a neutrino:"<<EvtPDL::name(_id).c_str()<<"\n";
+ break;
+ case EvtSpinType::STRING:
+ report(INFO,"EvtGen") << "This is a string:"<<EvtPDL::name(_id).c_str()<<"\n";
+ break;
+ default:
+ report(INFO,"EvtGen") <<"Unknown particle type in EvtParticle::printParticle()"<<endl;
+ break;
+ }
+ report(INFO,"EvtGen") << "Number of daughters:"<<_ndaug<<"\n";
+
+
+}
+
+
+
+void init_vector( EvtParticle **part ){
+ *part = (EvtParticle *) new EvtVectorParticle;
+}
+
+
+void init_scalar( EvtParticle **part ){
+ *part = (EvtParticle *) new EvtScalarParticle;
+}
+
+void init_tensor( EvtParticle **part ){
+ *part = (EvtParticle *) new EvtTensorParticle;
+}
+
+void init_dirac( EvtParticle **part ){
+ *part = (EvtParticle *) new EvtDiracParticle;
+}
+
+void init_photon( EvtParticle **part ){
+ *part = (EvtParticle *) new EvtPhotonParticle;
+}
+
+void init_neutrino( EvtParticle **part ){
+ *part = (EvtParticle *) new EvtNeutrinoParticle;
+}
+
+void init_string( EvtParticle **part ){
+ *part = (EvtParticle *) new EvtStringParticle;
+}
+
+double EvtParticle::initializePhaseSpace(
+ unsigned int numdaughter,EvtId *daughters,
+ bool forceDaugMassReset, double poleSize,
+ int whichTwo1, int whichTwo2) {
+
+ double m_b;
+ unsigned int i;
+ //lange
+ // this->makeDaughters(numdaughter,daughters);
+
+ static EvtVector4R p4[100];
+ static double mass[100];
+
+ m_b = this->mass();
+
+ //lange - Jan2,2002 - Need to check to see if the daughters of the parent
+ // have changed. If so, delete them and start over.
+ //report(INFO,"EvtGen") << "the parent is\n";
+ //if ( this->getParent() ) {
+ // if ( this->getParent()->getParent() ) this->getParent()->getParent()->printTree();
+ // this->getParent()->printTree();
+ //}
+ //report(INFO,"EvtGen") << "and this is\n";
+ //if ( this) this->printTree();
+ bool resetDaughters=false;
+
+ if ( numdaughter != this->getNDaug() && this->getNDaug() > 0 ) resetDaughters=true;
+ if ( numdaughter == this->getNDaug() )
+ for (i=0; i<numdaughter;i++) {
+ if ( this->getDaug(i)->getId() != daughters[i] ) resetDaughters=true;
+ //report(INFO,"EvtGen") << EvtPDL::name(this->getDaug(i)->getId())
+ // << " " << EvtPDL::name(daughters[i]) << endl;
+ }
+
+ if ( resetDaughters || forceDaugMassReset) {
+ bool t1=true;
+ //but keep the decay channel of the parent.
+ this->deleteDaughters(t1);
+ this->makeDaughters(numdaughter,daughters);
+ this->generateMassTree();
+ }
+
+ double weight=0.;
+ for (i=0; i<numdaughter;i++) {
+ mass[i]=this->getDaug(i)->mass();
+ }
+
+ if ( poleSize<-0.1) {
+ //special case to enforce 4-momentum conservation in 1->1 decays
+ if (numdaughter==1) {
+ this->getDaug(0)->init(daughters[0],EvtVector4R(m_b,0.0,0.0,0.0));
+ }
+ else{
+ EvtGenKine::PhaseSpace( numdaughter, mass, p4, m_b );
+ for(i=0;i<numdaughter;i++){
+ this->getDaug(i)->init(daughters[i],p4[i]);
+ }
+ }
+ }
+ else {
+ if ( numdaughter != 3 ) {
+ report(ERROR,"EvtGen") << "Only can generate pole phase space "
+ << "distributions for 3 body final states"
+ << endl<<"Will terminate."<<endl;
+ ::abort();
+ }
+ bool ok=false;
+ if ( (whichTwo1 == 1 && whichTwo2 == 0 ) ||
+ (whichTwo1 == 0 && whichTwo2 == 1 ) ) {
+ weight=EvtGenKine::PhaseSpacePole( m_b, mass[0], mass[1], mass[2],
+ poleSize, p4);
+ this->getDaug(0)->init(daughters[0],p4[0]);
+ this->getDaug(1)->init(daughters[1],p4[1]);
+ this->getDaug(2)->init(daughters[2],p4[2]);
+ ok=true;
+ }
+ if ( (whichTwo1 == 1 && whichTwo2 == 2 ) ||
+ (whichTwo1 == 2 && whichTwo2 == 1 ) ) {
+ weight=EvtGenKine::PhaseSpacePole( m_b, mass[2], mass[1], mass[0],
+ poleSize, p4);
+ this->getDaug(0)->init(daughters[0],p4[2]);
+ this->getDaug(1)->init(daughters[1],p4[1]);
+ this->getDaug(2)->init(daughters[2],p4[0]);
+ ok=true;
+ }
+ if ( (whichTwo1 == 0 && whichTwo2 == 2 ) ||
+ (whichTwo1 == 2 && whichTwo2 == 0 ) ) {
+ weight=EvtGenKine::PhaseSpacePole( m_b, mass[1], mass[0], mass[2],
+ poleSize, p4);
+ this->getDaug(0)->init(daughters[0],p4[1]);
+ this->getDaug(1)->init(daughters[1],p4[0]);
+ this->getDaug(2)->init(daughters[2],p4[2]);
+ ok=true;
+ }
+ if ( !ok) {
+ report(ERROR,"EvtGen") << "Invalid pair of particle to generate a pole dist "
+ << whichTwo1 << " " << whichTwo2
+ << endl<<"Will terminate."<<endl;
+ ::abort();
+ }
+ }
+
+ return weight;
+}
+
+void EvtParticle::makeDaughters( unsigned int ndaugstore, EvtId *id){
+
+ unsigned int i;
+ if ( _channel < 0 ) {
+ setChannel(0);
+ }
+ EvtParticle* pdaug;
+ if (_ndaug!=0 ){
+ if (_ndaug!=ndaugstore){
+ report(ERROR,"EvtGen") << "Asking to make a different number of "
+ << "daughters than what was previously created."<<endl;
+ report(ERROR,"EvtGen") << "Original parent:"<<EvtPDL::name(_id)<<endl;
+ for (size_t i=0;i<_ndaug;i++){
+ report(ERROR,"EvtGen") << "Original daugther:"<<EvtPDL::name(getDaug(i)->getId())<<endl;
+ }
+ for (size_t i=0;i<ndaugstore;i++){
+ report(ERROR,"EvtGen") << "New Daug:"<<EvtPDL::name(id[i])<<endl;
+ }
+ report(ERROR,"EvtGen") << "Will terminate."<<endl;
+ ::abort();
+ }
+ }
+ else{
+ for(i=0;i<ndaugstore;i++){
+ pdaug=EvtParticleFactory::particleFactory(EvtPDL::getSpinType(id[i]));
+ pdaug->setId(id[i]);
+ pdaug->addDaug(this);
+ }
+
+ } //else
+} //makeDaughters
+
+
+void EvtParticle::setDecayProb(double prob) {
+
+ if ( _decayProb == 0 ) _decayProb=new double;
+ *_decayProb=prob;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtParticle.hh
+//
+// Description:Class to describe all particles
+//
+// Modification history:
+//
+// DJL/RYD Sept. 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPARTICLE_HH
+#define EVTPARTICLE_HH
+
+//#include <iostream.h>
+#include <assert.h>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtSpinDensity.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include <string>
+
+class EvtDiracSpinor;
+class EvtVector4C;
+class EvtTensor4C;
+class EvtStdHep;
+class EvtSecondary;
+class EvtRaritaSchwinger;
+
+const int MAX_DAUG =100;
+const int MAX_LEVEL=10;
+const int MAX_TRIES=10000;
+
+class EvtParticle{
+
+public:
+
+ /**
+ * Default constructor.
+ */
+ EvtParticle();
+
+ /**
+ * Destructor.
+ */
+ virtual ~EvtParticle();
+
+ /**
+ * Returns polarization vector in the parents restframe.
+ */
+ virtual EvtVector4C epsParent(int i) const;
+
+ /**
+ * Returns polarization vector in the particles own restframe.
+ */
+ virtual EvtVector4C eps(int i) const;
+
+
+ /**
+ * Returns polarization vector in the parents restframe for a photon.
+ */
+ virtual EvtVector4C epsParentPhoton(int i);
+
+ /**
+ * Returns polarization vector in the particles own restframe for a photon.
+ */
+ virtual EvtVector4C epsPhoton(int i);
+
+
+ /**
+ * Returns Dirac spinor in the parents restframe for a Dirac particle.
+ */
+ virtual EvtDiracSpinor spParent(int) const;
+
+ /**
+ * Returns Dirac spinor in the particles own restframe for a Dirac particle.
+ */
+ virtual EvtDiracSpinor sp(int) const;
+
+
+
+ /**
+ * Returns Dirac spinor in the parents restframe for a Neutrino particle.
+ */
+ virtual EvtDiracSpinor spParentNeutrino() const;
+
+ /**
+ * Returns Dirac spinor in the particles own restframe for a
+ * Neutrino particle.
+ */
+ virtual EvtDiracSpinor spNeutrino() const;
+
+
+ /**
+ * Returns tensor in the parents restframe for a spin 2 particle.
+ */
+ virtual EvtTensor4C epsTensorParent(int i) const;
+
+ /**
+ * Returns tensor in the particles own restframe for a spin 2 particle.
+ */
+ virtual EvtTensor4C epsTensor(int i) const;
+
+ /**
+ * Returns Rarita-Schwinger spinor in the parents restframe for a
+ * Rarita-Schwinger particle.
+ */
+ virtual EvtRaritaSchwinger spRSParent(int) const;
+
+ /**
+ * Returns Rarita-Schwinger spinor in the particles own restframe for a
+ * Rarita-Schwinger particle.
+ */
+ virtual EvtRaritaSchwinger spRS(int) const;
+
+
+
+ /**
+ * Initialiaze particle with id and 4momentum.
+ */
+ virtual void init(EvtId part_n,const EvtVector4R& p4)=0;
+
+ /**
+ * Add another daughter to the particle
+ */
+ void addDaug(EvtParticle *node);
+
+ /**
+ * Decay particle
+ */
+ void decay();
+
+ /**
+ * Delete a decay chain
+ */
+ void deleteTree();
+ void deleteDaughters(bool keepChannel=false);
+
+ /**
+ * Should only be used internally.
+ */
+ void setChannel( int i );
+
+ /**
+ * Creates the daughters in the list of ids and
+ * adds them to the parent. Note that momentum
+ * is left uninitialized, this is _only_ creation.
+ */
+ void makeDaughters(unsigned int ndaug,EvtId *id);
+
+ /**
+ * Similar to the routine above except that here
+ * momentum is generated according to phase space
+ * daughters are filled with this momentum.
+ */
+ double initializePhaseSpace(unsigned int numdaughter,EvtId *daughters,
+ bool forceResetMasses=false,
+ double poleSize=-1., int whichTwo1=0,
+ int whichTwo2=1);
+
+ /**
+ * Get pointer the the i:th daugther.
+ */
+ EvtParticle *getDaug(int i);
+
+ /**
+ * Iterates over the particles in a decay chain.
+ */
+ EvtParticle *nextIter(EvtParticle *rootOfTree=0);
+
+ /**
+ * Makes stdhep list
+ */
+ void makeStdHep(EvtStdHep& stdhep,
+ EvtSecondary& secondary,EvtId *stable_parent_ihep);
+ void makeStdHep(EvtStdHep& stdhep);
+
+ /**
+ * Gets 4vector in the labframe, i.e., the frame in which the root
+ * particles momentum is measured.
+ */
+ EvtVector4R getP4Lab() const;
+
+
+ /**
+ * Gets 4vector in the labframe for the 4-momentum befor FSR was
+ * generated in the parents decay. The lab frame is where the root
+ * particles momentum is measured.
+ */
+ EvtVector4R getP4LabBeforeFSR();
+
+ /**
+ * Gets 4vector in the particles restframe, i.e. this functiont will
+ * return (m,0,0,0)
+ */
+ EvtVector4R getP4Restframe() const;
+
+ /**
+ * Returns the 4position of the particle in the lab frame.
+ */
+ EvtVector4R get4Pos() const;
+
+ /**
+ * Returns pointer to parent particle.
+ */
+ EvtParticle *getParent() const;
+
+ /**
+ * Makes partptr the idaug:th daugther.
+ */
+ void insertDaugPtr(int idaug,EvtParticle* partptr){ _daug[idaug]=partptr;
+ partptr->_parent=this; }
+ /**
+ * Returns mass of particle.
+ */
+ double mass() const;
+
+ /**
+ * Used internally to decide if first time particle is decayed.
+ */
+ int firstornot() const;
+ void setFirstOrNot();
+ void resetFirstOrNot();
+
+ /**
+ * Returns Id of particle.
+ */
+ EvtId getId() const;
+
+ /**
+ * Returns particle type.
+ */
+
+ EvtSpinType::spintype getSpinType() const;
+
+ /**
+ * Returns number of spin states of the particle.
+ */
+ int getSpinStates() const;
+
+ /**
+ * Returns 4momentum in parents restframe.
+ */
+ const EvtVector4R& getP4() const;
+
+ /**
+ * Sets the 4momentum in the parents restframe.
+ */
+ void setP4(const EvtVector4R& p4){
+ _p=p4;
+ _pBeforeFSR=p4;
+ }
+
+ void setP4WithFSR(const EvtVector4R& p4){
+ _p=p4;
+ }
+
+ void setFSRP4toZero(){
+ _pBeforeFSR.set(0.0,0.0,0.0,0.0);
+ }
+
+ /**
+ * Retunrs the decay channel.
+ */
+ int getChannel() const;
+
+ /**
+ * Returns number of daugthers.
+ */
+ size_t getNDaug() const;
+ void resetNDaug() {_ndaug=0; return;}
+
+ /**
+ * Prints out the particle "tree" of a given particle. The
+ * tree consists of all daughters (and their daughters, etc)
+ * and their properties.
+ */
+ void printTree() const;
+
+ void printTreeRec(unsigned int level) const;
+
+ std::string treeStr() const;
+ std::string treeStrRec(unsigned int level) const;
+
+ /**
+ * Prints information for the particle.
+ */
+ void printParticle() const;
+
+ /**
+ * Set lifetime of the particle in parents restframe.
+ */
+ void setLifetime(double tau);
+
+ /**
+ * Generate lifetime according to pure exponential.
+ */
+ void setLifetime();
+
+ /**
+ * Returns the lifetime.
+ */
+ double getLifetime();
+
+ /**
+ * Set diagonal spindensity matrix.
+ */
+ void setDiagonalSpinDensity();
+
+ /**
+ * Set spindensity matrix for e+e- -> V
+ */
+ void setVectorSpinDensity();
+
+ /**
+ * Set forward spin density matrix.
+ */
+ void setSpinDensityForward(const EvtSpinDensity& rho){_rhoForward=rho;}
+
+ /**
+ * Set forward spin density matrix according to the density matrix
+ * rho in the helicity amplitude basis.
+ */
+ void setSpinDensityForwardHelicityBasis(const EvtSpinDensity& rho);
+ void setSpinDensityForwardHelicityBasis(const EvtSpinDensity& rho,
+ double alpha,
+ double beta,
+ double gamma);
+
+ /**
+ * Returns a rotation matrix need to rotate the basis state
+ * to the helicity basis. The EvtSpinDensity matrix is just use
+ * as a matrix here. This function is to be implemented in each
+ * derived class.
+ */
+ virtual EvtSpinDensity rotateToHelicityBasis() const=0;
+ virtual EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const=0;
+
+ /**
+ * Get forward spin density matrix.
+ */
+ EvtSpinDensity getSpinDensityForward(){return _rhoForward;}
+
+ /**
+ * Set backward spin density matrix.
+ */
+ void setSpinDensityBackward(const EvtSpinDensity& rho){_rhoBackward=rho;}
+
+ /**
+ * Get backward spin density matrix.
+ */
+ EvtSpinDensity getSpinDensityBackward(){return _rhoBackward;}
+
+ //Hacks will be removed when better solutions are thought of!
+ //This is used to suppress use of random numbers when doing initialization
+ //of some models.
+ void noLifeTime() { _genlifetime=0; }
+
+ //lange - April 29, 2002
+ void setId(EvtId id) { _id=id;}
+ void initDecay(bool useMinMass=false);
+ void generateMassTree();
+
+ double compMassProb();
+
+ //setMass will blow away any existing 4vector
+ void setMass(double m) { _p=EvtVector4R(m,0.0,0.0,0.0);}
+
+ //void setMixed() {_mix=true;}
+ //void setUnMixed() {_mix=false;}
+ //bool getMixed() {return _mix;}
+
+ //void takeCConj() {report(INFO,"EvtGen") << "should take conj\n";}
+
+ //this means that the particle has gone through initDecay
+ // and thus has a mass
+ bool isInitialized() {return _isInit;}
+ bool hasValidP4() {return _validP4;}
+ bool isDecayed() {return _isDecayed;}
+
+
+ // decay prob - only relevent if already decayed
+ // and is a scalar particle
+ // returned is a double* that should be prob/probMax
+ double* decayProb() {return _decayProb;}
+ void setDecayProb( double p);
+
+
+protected:
+
+ void setp( double e, double px, double py, double pz) {
+ _p.set(e,px,py,pz);
+ _pBeforeFSR=_p;
+ }
+
+ void setp( const EvtVector4R& p4 ) {
+ _p =p4;
+ _pBeforeFSR=_p;
+ }
+
+ void setpart_num(EvtId particle_number ) {
+ assert(_channel==-10||
+ _id.getId()==particle_number.getId()||
+ _id.getId()==-1);
+ _id = particle_number;
+ }
+ bool _validP4;
+
+private:
+
+ EvtParticle* _daug[MAX_DAUG];
+ size_t _ndaug;
+ EvtParticle* _parent;
+ int _channel;
+ int _first;
+ EvtId _id;
+ EvtVector4R _p;
+ EvtVector4R _pBeforeFSR;
+ double _t;
+ bool _isInit;
+ bool _isDecayed;
+
+ //bool _mix;
+
+ EvtSpinDensity _rhoForward;
+ EvtSpinDensity _rhoBackward;
+
+ void makeStdHepRec(int firstparent,int lastparent,EvtStdHep& stdhep,
+ EvtSecondary& secondary,EvtId *stable_parent_ihep);
+ void makeStdHepRec(int firstparent,int lastparent,EvtStdHep& stdhep);
+
+
+ //This is a hack until things gets straightened out. (Ryd)
+ int _genlifetime;
+
+ //should never be used, therefor is private.
+ //these does _not_ have an implementation
+ EvtParticle& operator=(const EvtParticle& p);
+ EvtParticle(const EvtParticle& p);
+
+ double *_decayProb;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDecayParm.cc
+//
+// Description: Store decay parameters for one decay.
+//
+// Modification history:
+//
+// RYD April 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include "EvtGenBase/EvtParticleDecay.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include <vector>
+using std::fstream;
+void EvtParticleDecay::printSummary(){
+
+ if (_decay!=0) _decay->printSummary();
+
+}
+
+void EvtParticleDecay::chargeConj(EvtParticleDecay *decay){
+
+ _brfrsum=decay->_brfrsum;
+ _massmin=decay->_massmin;
+
+ _decay=decay->_decay->clone();
+
+ int ndaug=decay->_decay->getNDaug();
+ int narg=decay->_decay->getNArg();
+ double brfr=decay->_decay->getBranchingFraction();
+ std::string name=decay->_decay->getName();
+ EvtId ipar=EvtPDL::chargeConj(decay->_decay->getParentId());
+ int i;
+ EvtId* daug=new EvtId[ndaug];
+ for(i=0;i<ndaug;i++){
+ daug[i]=EvtPDL::chargeConj(decay->_decay->getDaug(i));
+ }
+ //Had to add 1 to make sure the vector is not empty!
+ std::vector<std::string> args;
+ for(i=0;i<narg;i++){
+ args.push_back(decay->_decay->getArgStr(i));
+ }
+
+ _decay->saveDecayInfo(ipar,ndaug,daug,narg,args,name,brfr);
+
+ if (decay->_decay->getPHOTOS()) _decay->setPHOTOS();
+
+ delete [] daug;
+
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtParticleDecay.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPARTICLEDECAY_HH
+#define EVTPARTICLEDECAY_HH
+
+#include "EvtGenBase/EvtDecayBase.hh"
+
+
+class EvtParticleDecay{
+
+public:
+
+ EvtParticleDecay(){
+ _decay=0;
+ _brfrsum=0.0;
+ _massmin=0.0;
+ }
+
+ ~EvtParticleDecay(){
+
+ if (_decay!=0) delete _decay;
+
+ }
+
+ void chargeConj(EvtParticleDecay* decay);
+
+ void setDecayModel(EvtDecayBase* decay) {_decay=decay;}
+ EvtDecayBase* getDecayModel() {return _decay;}
+ double getBrfrSum() {return _brfrsum;}
+ void setBrfrSum(double brfrsum) {_brfrsum=brfrsum;}
+ double getMassMin() {return _massmin;}
+ void setMassMin(double massmin) {_massmin=massmin;}
+
+ void printSummary();
+
+private:
+
+ EvtDecayBase* _decay;
+
+ double _brfrsum;
+ double _massmin;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDecayParm.cc
+//
+// Description: Store decay parameters for one decay.
+//
+// Modification history:
+//
+// RYD April 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include "EvtGenBase/EvtParticleDecayList.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtStatus.hh"
+using std::endl;
+using std::fstream;
+
+EvtParticleDecayList::EvtParticleDecayList(const EvtParticleDecayList &o) {
+ _nmode=o._nmode;
+ _rawbrfrsum=o._rawbrfrsum;
+ _decaylist=new EvtParticleDecayPtr[_nmode];
+
+ int i;
+ for(i=0;i<_nmode;i++){
+ _decaylist[i]=new EvtParticleDecay;
+
+ EvtDecayBase *tModel=o._decaylist[i]->getDecayModel();
+
+ EvtDecayBase *tModelNew=tModel->clone();
+ if (tModel->getPHOTOS()){
+ tModelNew->setPHOTOS();
+ }
+ if (tModel->verbose()){
+ tModelNew->setVerbose();
+ }
+ if (tModel->summary()){
+ tModelNew->setSummary();
+ }
+ std::vector<std::string> args;
+ int j;
+ for(j=0;j<tModel->getNArg();j++){
+ args.push_back(tModel->getArgStr(j));
+ }
+ tModelNew->saveDecayInfo(tModel->getParentId(),tModel->getNDaug(),
+ tModel->getDaugs(),
+ tModel->getNArg(),
+ args,
+ tModel->getModelName(),
+ tModel->getBranchingFraction());
+ _decaylist[i]->setDecayModel(tModelNew);
+
+ _decaylist[i]->setBrfrSum(o._decaylist[i]->getBrfrSum());
+ _decaylist[i]->setMassMin(o._decaylist[i]->getMassMin());
+ }
+
+
+}
+
+
+EvtParticleDecayList::~EvtParticleDecayList(){
+
+ int i;
+ for(i=0;i<_nmode;i++){
+ delete _decaylist[i];
+ }
+
+ if (_decaylist!=0) delete [] _decaylist;
+}
+
+void EvtParticleDecayList::printSummary(){
+
+ int i;
+ for(i=0;i<_nmode;i++){
+ _decaylist[i]->printSummary();
+ }
+
+}
+
+void EvtParticleDecayList::removeDecay(){
+
+ int i;
+ for(i=0;i<_nmode;i++){
+ delete _decaylist[i];
+ }
+
+ delete [] _decaylist;
+ _decaylist=0;
+ _nmode=0;
+ _rawbrfrsum=0.0;
+
+}
+
+
+EvtDecayBase* EvtParticleDecayList::getDecayModel(EvtParticle *p){
+
+ if (p->getNDaug()!=0) {
+ assert(p->getChannel()>=0);
+ return getDecay(p->getChannel()).getDecayModel();
+ }
+ if (p->getChannel() >(-1) ) {
+ return getDecay(p->getChannel()).getDecayModel();
+ }
+
+
+ if (getNMode()==0 ) {
+ return 0;
+ }
+ if (getRawBrfrSum()<0.00000001 ) {
+ return 0;
+ }
+
+ if (getNMode()==1) {
+ p->setChannel(0);
+ return getDecay(0).getDecayModel();
+ }
+
+ if (p->getChannel() >(-1)) {
+ report(ERROR,"EvtGen") << "Internal error!!!"<<endl;
+ ::abort();
+ }
+
+ int j;
+
+ for (j=0;j<10000000;j++){
+
+ double u=EvtRandom::Flat();
+
+ int i;
+ bool breakL=false;
+ for (i=0;i<getNMode();i++) {
+
+ if ( breakL ) continue;
+ if (u<getDecay(i).getBrfrSum()) {
+ breakL=true;
+ //special case for decay of on particel to another
+ // e.g. K0->K0S
+
+ if (getDecay(i).getDecayModel()->getNDaug()==1 ) {
+ p->setChannel(i);
+ return getDecay(i).getDecayModel();
+ }
+
+ if ( p->hasValidP4() ) {
+ if (getDecay(i).getMassMin() < p->mass() ) {
+ p->setChannel(i);
+ return getDecay(i).getDecayModel();
+ }
+ }
+ else{
+ //Lange apr29-2002 - dont know the mass yet
+ p->setChannel(i);
+ return getDecay(i).getDecayModel();
+ }
+ }
+ }
+ }
+
+ //Ok, we tried 10000000 times above to pick a decay channel that is
+ //kinematically allowed! Now we give up and search all channels!
+ //if that fails, the particle will not be decayed!
+
+ report(ERROR,"EvtGen") << "Tried 10000000 times to generate decay of "
+ << EvtPDL::name(p->getId())<< " with mass="<<p->mass()<<endl;
+ report(ERROR,"EvtGen") << "Will take first kinematically allowed decay in the decay table"
+ <<endl;
+
+ int i;
+
+ //Need to check that we don't use modes with 0 branching fractions.
+ double previousBrSum=0.0;
+ for (i=0;i<getNMode();i++) {
+ if(getDecay(i).getBrfrSum()!=previousBrSum){
+ if ( getDecay(i).getMassMin() < p->mass() ) {
+ p->setChannel(i);
+ return getDecay(i).getDecayModel();
+ }
+ }
+ previousBrSum=getDecay(i).getBrfrSum();
+ }
+
+ report(ERROR,"EvtGen") << "Could not decay:"
+ <<EvtPDL::name(p->getId()).c_str()
+ <<" with mass:"<<p->mass()
+ <<" will throw event away! "<<endl;
+
+ EvtStatus::setRejectFlag();
+ return 0;
+
+}
+
+
+void EvtParticleDecayList::setNMode(int nmode){
+
+ EvtParticleDecayPtr* _decaylist_new= new EvtParticleDecayPtr[nmode];
+
+ if (_nmode!=0){
+ report(ERROR,"EvtGen") << "Error _nmode not equal to zero!!!"<<endl;
+ ::abort();
+ }
+ if (_decaylist!=0) {
+ delete [] _decaylist;
+ }
+ _decaylist=_decaylist_new;
+ _nmode=nmode;
+
+}
+
+
+EvtParticleDecay& EvtParticleDecayList::getDecay(int nchannel) {
+ if (nchannel>=_nmode) {
+ report(ERROR,"EvtGen") <<"Error getting channel:"
+ <<nchannel<<" with only "<<_nmode
+ <<" stored!"<<endl;
+ ::abort();
+ }
+ return *(_decaylist[nchannel]);
+}
+
+void EvtParticleDecayList::makeChargeConj(EvtParticleDecayList* conjDecayList){
+
+ _rawbrfrsum=conjDecayList->_rawbrfrsum;
+
+ setNMode(conjDecayList->_nmode);
+
+ int i;
+
+ for(i=0;i<_nmode;i++){
+ _decaylist[i]=new EvtParticleDecay;
+ _decaylist[i]->chargeConj(conjDecayList->_decaylist[i]);
+ }
+
+}
+
+void EvtParticleDecayList::addMode(EvtDecayBase* decay, double brfrsum,
+ double massmin){
+
+ EvtParticleDecayPtr* newlist=new EvtParticleDecayPtr[_nmode+1];
+
+ int i;
+ for(i=0;i<_nmode;i++){
+ newlist[i]=_decaylist[i];
+ }
+
+ _rawbrfrsum=brfrsum;
+
+ newlist[_nmode]=new EvtParticleDecay;
+
+ newlist[_nmode]->setDecayModel(decay);
+ newlist[_nmode]->setBrfrSum(brfrsum);
+ newlist[_nmode]->setMassMin(massmin);
+
+ EvtDecayBase *newDec=newlist[_nmode]->getDecayModel();
+ for(i=0;i<_nmode;i++){
+ if ( newDec->matchingDecay(*(newlist[i]->getDecayModel())) ) {
+
+ //sometimes its ok..
+ if ( newDec->getModelName() == "JETSET" || newDec->getModelName() == "PYTHIA" ) continue;
+ if ( newDec->getModelName() == "JSCONT" || newDec->getModelName() == "PYCONT" ) continue;
+ if ( newDec->getModelName() == "PYGAGA" ) continue;
+ if ( newDec->getModelName() == "LUNDAREALAW" ) continue;
+ report(ERROR,"EvtGen") << "Two matching decays with same parent in decay table\n";
+ report(ERROR,"EvtGen") << "Please fix that\n";
+ report(ERROR,"EvtGen") << "Parent " << EvtPDL::name(newDec->getParentId()).c_str() << endl;
+ for (int j=0; j<newDec->getNDaug(); j++)
+ report(ERROR,"EvtGen") << "Daughter " << EvtPDL::name(newDec->getDaug(j)).c_str() << endl;
+ assert(0);
+ }
+ }
+
+ if (_nmode!=0){
+ delete [] _decaylist;
+ }
+
+ if ( ( _nmode == 0 ) && ( _decaylist != 0 ) ) delete [] _decaylist ;
+
+ _nmode++;
+
+ _decaylist=newlist;
+
+}
+
+
+void EvtParticleDecayList::finalize(){
+
+ if (_nmode>0) {
+ if ( _rawbrfrsum< 0.000001 ) {
+ report(ERROR,"EvtGen") << "Please give me a "
+ << "branching fraction sum greater than 0\n";
+ assert(0);
+ }
+ if (fabs(_rawbrfrsum-1.0)>0.0001) {
+ report(INFO,"EvtGen") <<"Warning, sum of branching fractions for "
+ <<EvtPDL::name(_decaylist[0]->getDecayModel()->getParentId()).c_str()
+ <<" is "<<_rawbrfrsum<<endl;
+ report(INFO,"EvtGen") << "rescaled to one! "<<endl;
+
+ }
+
+ int i;
+
+ for(i=0;i<_nmode;i++){
+ double brfrsum=_decaylist[i]->getBrfrSum()/_rawbrfrsum;
+ _decaylist[i]->setBrfrSum(brfrsum);
+ }
+
+ }
+
+}
+
+
+EvtParticleDecayList& EvtParticleDecayList::operator=(const EvtParticleDecayList &o) {
+ if (this != &o) {
+ removeDecay();
+ _nmode=o._nmode;
+ _rawbrfrsum=o._rawbrfrsum;
+ _decaylist=new EvtParticleDecayPtr[_nmode];
+
+ int i;
+ for(i=0;i<_nmode;i++){
+ _decaylist[i]=new EvtParticleDecay;
+
+ EvtDecayBase *tModel=o._decaylist[i]->getDecayModel();
+
+ EvtDecayBase *tModelNew=tModel->clone();
+ if (tModel->getPHOTOS()){
+ tModelNew->setPHOTOS();
+ }
+ if (tModel->verbose()){
+ tModelNew->setVerbose();
+ }
+ if (tModel->summary()){
+ tModelNew->setSummary();
+ }
+ std::vector<std::string> args;
+ int j;
+ for(j=0;j<tModel->getNArg();j++){
+ args.push_back(tModel->getArgStr(j));
+ }
+ tModelNew->saveDecayInfo(tModel->getParentId(),tModel->getNDaug(),
+ tModel->getDaugs(),
+ tModel->getNArg(),
+ args,
+ tModel->getModelName(),
+ tModel->getBranchingFraction());
+ _decaylist[i]->setDecayModel(tModelNew);
+
+ //_decaylist[i]->setDecayModel(tModel);
+ _decaylist[i]->setBrfrSum(o._decaylist[i]->getBrfrSum());
+ _decaylist[i]->setMassMin(o._decaylist[i]->getMassMin());
+ }
+ }
+ return *this;
+
+
+}
+
+
+void EvtParticleDecayList::removeMode(EvtDecayBase* decay) {
+ // here we will delete a decay with the same final state particles
+ // and recalculate the branching fractions for the remaining modes
+ int match = -1;
+ int i;
+ double match_bf;
+
+ for(i=0;i<_nmode;i++){
+ if ( decay->matchingDecay(*(_decaylist[i]->getDecayModel())) ) {
+ match = i;
+ }
+ }
+
+ if (match < 0) {
+ report(ERROR,"EvtGen") << " Attempt to remove undefined mode for" << endl
+ << "Parent " << EvtPDL::name(decay->getParentId()).c_str() << endl
+ << "Daughters: ";
+ for (int j=0; j<decay->getNDaug(); j++)
+ report(ERROR,"") << EvtPDL::name(decay->getDaug(j)).c_str() << " ";
+ report(ERROR,"") << endl;
+ ::abort();
+ }
+
+ if (match == 0) {
+ match_bf = _decaylist[match]->getBrfrSum();
+ } else {
+ match_bf = (_decaylist[match]->getBrfrSum()
+ -_decaylist[match-1]->getBrfrSum());
+ }
+
+ double divisor = 1-match_bf;
+ if (divisor < 0.000001 && _nmode > 1) {
+ report(ERROR,"EvtGen") << "Removing requested mode leaves "
+ << EvtPDL::name(decay->getParentId()).c_str()
+ << " with zero sum branching fraction," << endl
+ << "but more than one decay mode remains. Aborting."
+ << endl;
+ ::abort();
+ }
+
+ EvtParticleDecayPtr* newlist=new EvtParticleDecayPtr[_nmode-1];
+
+ for(i=0;i<match;i++){
+ newlist[i]=_decaylist[i];
+ newlist[i]->setBrfrSum(newlist[i]->getBrfrSum()/divisor);
+ }
+ for(i=match+1; i<_nmode; i++) {
+ newlist[i-1]=_decaylist[i];
+ newlist[i-1]->setBrfrSum((newlist[i-1]->getBrfrSum()-match_bf)/divisor);
+ }
+
+
+ delete [] _decaylist;
+
+ _nmode--;
+
+ _decaylist=newlist;
+
+ if (_nmode == 0) {
+ delete [] _decaylist;
+ }
+
+}
+
+
+bool EvtParticleDecayList::isJetSet() {
+ int i ;
+ EvtDecayBase * decayer ;
+
+ for ( i = 0 ;
+ i < getNMode() ;
+ i++ ) {
+ decayer = getDecay( i ).getDecayModel ( ) ;
+ if ( decayer -> getModelName() == "PYTHIA" ) return true ;
+ }
+
+ return false ;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtParticleDecayList.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPARTICLEDECAYLIST_HH
+#define EVTPARTICLEDECAYLIST_HH
+
+#include "EvtGenBase/EvtParticleDecay.hh"
+
+typedef EvtParticleDecay* EvtParticleDecayPtr;
+
+class EvtParticleDecayList{
+
+public:
+
+ EvtParticleDecayList(){
+ _decaylist=0;
+ _nmode=0;
+ _rawbrfrsum=0;
+ }
+
+ EvtParticleDecayList(const EvtParticleDecayList &o);
+
+ ~EvtParticleDecayList();
+
+ EvtParticleDecayList& operator=(const EvtParticleDecayList &o);
+
+ int getNMode() const {return _nmode;}
+
+ void setNMode(int nmode);
+
+ EvtDecayBase* getDecayModel(EvtParticle *p);
+ EvtDecayBase* getDecayModel(int imode) {return _decaylist[imode]->getDecayModel();}
+ const EvtDecayBase* getDecayModel(int imode) const {return _decaylist[imode]->getDecayModel();}
+
+
+ EvtParticleDecay& getDecay(int nchannel);
+
+ double getRawBrfrSum() {return _rawbrfrsum;}
+ void setRawBrfrSum(double rawbrfrsum) {_rawbrfrsum=rawbrfrsum;}
+
+ void makeChargeConj(EvtParticleDecayList* conjDecayList);
+
+ void removeDecay();
+
+ void alocateDecay(int nmode){
+ _decaylist= new EvtParticleDecayPtr[nmode];
+ }
+
+ void removeMode(EvtDecayBase* decay);
+
+ void addMode(EvtDecayBase* decay,double brfr,double massmin);
+ void finalize();
+
+ void printSummary();
+
+ bool isJetSet() ;
+
+private:
+
+ EvtParticleDecayPtr* _decaylist;
+
+ double _rawbrfrsum;
+ int _nmode;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtParticleFactory.cc
+//
+// Description: Class to describe all particles
+//
+// Modification history:
+//
+// DJL December 27, 1999 Module created.
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <stdio.h>
+#include <stdlib.h>
+#include <sys/stat.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtDiracParticle.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtTensorParticle.hh"
+#include "EvtGenBase/EvtPhotonParticle.hh"
+#include "EvtGenBase/EvtNeutrinoParticle.hh"
+#include "EvtGenBase/EvtStringParticle.hh"
+#include "EvtGenBase/EvtRaritaSchwingerParticle.hh"
+#include "EvtGenBase/EvtHighSpinParticle.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtParticleFactory.hh"
+using std::endl;
+
+EvtParticle* EvtParticleFactory::particleFactory(EvtSpinType::spintype spinType){
+
+ if ( spinType == EvtSpinType::SCALAR ) {
+ return new EvtScalarParticle;
+ }
+
+ if ( spinType == EvtSpinType::VECTOR ) {
+ return new EvtVectorParticle;
+ }
+ if ( spinType == EvtSpinType::DIRAC ) {
+ return new EvtDiracParticle;
+ }
+ if ( spinType == EvtSpinType::NEUTRINO ) {
+ return new EvtNeutrinoParticle;
+ }
+ if ( spinType == EvtSpinType::PHOTON ) {
+ return new EvtPhotonParticle;
+ }
+ if ( spinType == EvtSpinType::TENSOR ) {
+ return new EvtTensorParticle;
+ }
+ if ( spinType == EvtSpinType::STRING ) {
+ return new EvtStringParticle;
+ }
+ if ( spinType == EvtSpinType::RARITASCHWINGER ) {
+ return new EvtRaritaSchwingerParticle;
+ }
+ if ( spinType == EvtSpinType::SPIN5HALF ) {
+ return new EvtHighSpinParticle;
+ }
+ if ( spinType == EvtSpinType::SPIN3 ) {
+ return new EvtHighSpinParticle;
+ }
+ if ( spinType == EvtSpinType::SPIN7HALF ) {
+ return new EvtHighSpinParticle;
+ }
+ if ( spinType == EvtSpinType::SPIN4 ) {
+ return new EvtHighSpinParticle;
+ }
+
+ report(ERROR,"EvtGen")<<"Error in EvtParticleFactory::particleFactory"<<endl;
+ report(ERROR,"EvtGen")<<"Tried to create non-existing particle"
+ <<" with spin type:"<<spinType<<endl;
+ report(ERROR,"EvtGen")<<"Will terminate execution"<<endl;
+
+
+ ::abort();
+
+ return 0;
+
+
+}
+
+
+EvtParticle* EvtParticleFactory::particleFactory(EvtId id,
+ EvtVector4R p4,
+ EvtSpinDensity rho){
+
+ EvtSpinType::spintype thisSpin=EvtPDL::getSpinType(id);
+
+ if ( thisSpin == EvtSpinType::SCALAR ) {
+ EvtScalarParticle *myPart;
+ myPart=new EvtScalarParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+
+ if ( thisSpin == EvtSpinType::VECTOR ) {
+ EvtVectorParticle *myPart;
+ myPart=new EvtVectorParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::DIRAC ) {
+ EvtDiracParticle *myPart;
+ myPart=new EvtDiracParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::NEUTRINO ) {
+ EvtNeutrinoParticle *myPart;
+ myPart=new EvtNeutrinoParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::PHOTON ) {
+ EvtPhotonParticle *myPart;
+ myPart=new EvtPhotonParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::TENSOR ) {
+ EvtTensorParticle *myPart;
+ myPart=new EvtTensorParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::STRING ) {
+ EvtStringParticle *myPart;
+ myPart=new EvtStringParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::SPIN3 ) {
+ EvtHighSpinParticle *myPart;
+ myPart=new EvtHighSpinParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::SPIN5HALF ) {
+ EvtHighSpinParticle *myPart;
+ myPart=new EvtHighSpinParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::SPIN7HALF ) {
+ EvtHighSpinParticle *myPart;
+ myPart=new EvtHighSpinParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::RARITASCHWINGER ) {
+ EvtRaritaSchwingerParticle *myPart;
+ myPart=new EvtRaritaSchwingerParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+ if ( thisSpin == EvtSpinType::SPIN4 ) {
+ EvtHighSpinParticle *myPart;
+ myPart=new EvtHighSpinParticle;
+ myPart->init(id, p4);
+ myPart->setSpinDensityForward(rho);
+ return myPart;
+ }
+
+ report(ERROR,"EvtGen")<<"Error in EvtParticleFactory::particleFactory"<<endl;
+ report(ERROR,"EvtGen")<<"Tried to create non-existing particle"
+ <<" with spin type:"<<thisSpin
+ <<" and name:"<<EvtPDL::name(id).c_str()<<endl;
+ report(ERROR,"EvtGen")<<"Will terminate execution"<<endl;
+
+
+
+ ::abort();
+
+ return 0;
+
+}
+
+
+EvtParticle* EvtParticleFactory::particleFactory(EvtId id,
+ EvtVector4R p4){
+
+ EvtSpinDensity rho;
+ rho.setDiag(EvtSpinType::getSpinStates(EvtPDL::getSpinType(id)));
+
+ return particleFactory(id,p4,rho);
+
+}
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtParticleFactory.hh
+//
+// Description:Factory for creating particles
+//
+// Modification history:
+//
+// DJL December 27, 1999 Module created.
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPARTICLEFACTORY_HH
+#define EVTPARTICLEFACTORY_HH
+
+#include "EvtGenBase/EvtSpinType.hh"
+
+class EvtParticle;
+class EvtId;
+class EvtVector4R;
+class EvtSpinDensity;
+
+class EvtParticleFactory{
+
+public:
+
+
+static EvtParticle* particleFactory(EvtSpinType::spintype spinType);
+
+static EvtParticle* particleFactory(EvtId id,
+ EvtVector4R p4);
+
+static EvtParticle* particleFactory(EvtId id,
+ EvtVector4R p4,
+ EvtSpinDensity rho);
+
+};
+
+
+#endif
--- /dev/null
+#if defined(SUNCC) && defined(_XOPEN_SOURCE) && ( _XOPEN_SOURCE - 0 == 500 )
+#ifndef _CLOCK_T
+#define _CLOCK_T
+typedef long clock_t; /* relative time in a specified resolution */
+#endif /* ifndef _CLOCK_T */
+#endif
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPdf.hh,v 1.15 2009/02/18 03:31:38 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+/*
+ * All classes are templated on the point type T
+ *
+ * EvtPdf:
+ *
+ * Probability density function defined on an interval of phase-space.
+ * Integral over the interval can be calculated by Monte Carlo integration.
+ * Some (but not all) PDFs are analytic in the sense that they can be integrated
+ * by numeric quadrature and distributions can be generated according to them.
+ *
+ * EvtPdfGen:
+ *
+ * Generator adaptor. Can be used to generate random points
+ * distributed according to the PDF for analytic PDFs.
+ *
+ * EvtPdfPred:
+ *
+ * Predicate adaptor for PDFs. Can be used for generating random points distributed
+ * according to the PDF for any PDF using rejection method. (See "Numerical Recipes").
+ *
+ * EvtPdfUnary:
+ *
+ * Adapter for generic algorithms. Evaluates the PDF and returns the value
+ *
+ * EvtPdfDiv:
+ *
+ * PDF obtained by division of one PDF by another. Because the two PDFs are
+ * arbitrary this PDF is not analytic. When importance sampling is used the
+ * original PDF is divided by the analytic comparison function. EvtPdfDiv is
+ * used to represent the modified PDF.
+ */
+
+#ifndef EVT_PDF_HH
+#define EVT_PDF_HH
+
+#include <assert.h>
+#include <stdio.h>
+#include "EvtGenBase/EvtValError.hh"
+#include "EvtGenBase/EvtPredGen.hh"
+#include "EvtGenBase/EvtStreamInputIterator.hh"
+#include "EvtGenBase/EvtPdfMax.hh"
+#include "EvtGenBase/EvtMacros.hh"
+#include "EvtGenBase/EvtRandom.hh"
+
+template <class T> class EvtPdfPred;
+template <class T> class EvtPdfGen;
+
+template <class T> class EvtPdf {
+public:
+
+ EvtPdf() {}
+ EvtPdf(const EvtPdf& other) : _itg(other._itg) {}
+ virtual ~EvtPdf() {}
+ virtual EvtPdf<T>* clone() const = 0;
+
+ double evaluate(const T& p) const {
+ if(p.isValid()) return pdf(p);
+ else return 0.;
+ }
+
+ // Find PDF maximum. Points are sampled according to pc
+
+ EvtPdfMax<T> findMax(const EvtPdf<T>& pc, int N);
+
+ // Find generation efficiency.
+
+ EvtValError findGenEff(const EvtPdf<T>& pc, int N, int nFindMax);
+
+ // Analytic integration. Calls cascade down until an overridden
+ // method is called.
+
+ void setItg(EvtValError itg) {_itg = itg; }
+
+ EvtValError getItg() const {
+ if(!_itg.valueKnown()) _itg = compute_integral();
+ return _itg;
+ }
+ EvtValError getItg(int N) const {
+ if(!_itg.valueKnown()) _itg = compute_integral(N);
+ return _itg;
+ }
+
+ virtual EvtValError compute_integral() const
+ //make sun happy - return something
+ { printf("Analytic integration of PDF is not defined\n"); assert(0); return compute_integral();}
+ virtual EvtValError compute_integral(int) const { return compute_integral(); }
+
+ // Monte Carlo integration.
+
+ EvtValError compute_mc_integral(const EvtPdf<T>& pc, int N);
+
+ // Generation. Create predicate accept-reject generators.
+ // nMax iterations will be used to find the maximum of the accept-reject predicate
+
+ EvtPredGen<EvtPdfGen<T>,EvtPdfPred<T> > accRejGen(const EvtPdf<T>& pc, int nMax, double factor = 1.);
+
+ virtual T randomPoint();
+
+protected:
+
+ virtual double pdf(const T&) const = 0;
+ mutable EvtValError _itg;
+};
+
+
+template <class T> class EvtPdfGen {
+public:
+ typedef T result_type;
+
+ EvtPdfGen() : _pdf(0) {}
+ EvtPdfGen(const EvtPdfGen<T>& other) :
+ _pdf(other._pdf ? other._pdf->clone() : 0)
+ {}
+ EvtPdfGen(const EvtPdf<T>& pdf) :
+ _pdf(pdf.clone())
+ {}
+ ~EvtPdfGen() { delete _pdf;}
+
+ result_type operator()() {return _pdf->randomPoint();}
+
+private:
+
+ EvtPdf<T>* _pdf;
+};
+
+
+template <class T> class EvtPdfPred {
+public:
+ typedef T argument_type;
+ typedef bool result_type;
+
+ EvtPdfPred() {}
+ EvtPdfPred(const EvtPdf<T>& thePdf) : itsPdf(thePdf.clone()) {}
+ EvtPdfPred(const EvtPdfPred& other) : COPY_PTR(itsPdf), COPY_MEM(itsPdfMax) {}
+ ~EvtPdfPred() { delete itsPdf; }
+
+ result_type operator()(argument_type p)
+ {
+ assert(itsPdf);
+ assert(itsPdfMax.valueKnown());
+
+ double random = EvtRandom::Flat(0.,itsPdfMax.value());
+ return (random <= itsPdf->evaluate(p));
+ }
+
+ EvtPdfMax<T> getMax() const { return itsPdfMax; }
+ void setMax(const EvtPdfMax<T>& max) { itsPdfMax = max; }
+ template <class InputIterator> void compute_max(InputIterator it, InputIterator end,
+ double factor = 1.)
+ {
+ T p = *it++;
+ itsPdfMax = EvtPdfMax<T>(p,itsPdf->evaluate(p)*factor);
+
+ while(!(it == end)) {
+ T p = *it++;
+ double val = itsPdf->evaluate(p)*factor;
+ if(val > itsPdfMax.value()) itsPdfMax = EvtPdfMax<T>(p,val);
+ }
+ }
+
+private:
+
+ EvtPdf<T>* itsPdf;
+ EvtPdfMax<T> itsPdfMax;
+};
+
+
+template <class T> class EvtPdfUnary {
+public:
+ typedef double result_type;
+ typedef T argument_type;
+
+ EvtPdfUnary() {}
+ EvtPdfUnary(const EvtPdf<T>& thePdf) : itsPdf(thePdf.clone()) {}
+ EvtPdfUnary(const EvtPdfUnary& other) : COPY_PTR(itsPdf) {}
+ ~EvtPdfUnary() { delete itsPdf; }
+
+ result_type operator()(argument_type p)
+ {
+ assert(itsPdf);
+ double ret = itsPdf->evaluate(p);
+ return ret;
+ }
+
+private:
+
+ EvtPdf<T>* itsPdf;
+};
+
+
+template <class T> class EvtPdfDiv : public EvtPdf<T> {
+public:
+
+ EvtPdfDiv() : itsNum(0), itsDen(0) {}
+ EvtPdfDiv(const EvtPdf<T>& theNum, const EvtPdf<T>& theDen)
+ : EvtPdf<T>(), itsNum(theNum.clone()), itsDen(theDen.clone())
+ {}
+ EvtPdfDiv(const EvtPdfDiv<T>& other)
+ : EvtPdf<T>(other), COPY_PTR(itsNum), COPY_PTR(itsDen)
+ {}
+ virtual ~EvtPdfDiv() { delete itsNum; delete itsDen; }
+ virtual EvtPdf<T>* clone() const
+ { return new EvtPdfDiv(*this); }
+
+ virtual double pdf(const T& p) const
+ {
+ double num = itsNum->evaluate(p);
+ double den = itsDen->evaluate(p);
+ assert(den != 0);
+ return num/den;
+ }
+
+private:
+
+ EvtPdf<T>* itsNum; // numerator
+ EvtPdf<T>* itsDen; // denominator
+};
+
+
+template <class T>
+EvtPdfMax<T> EvtPdf<T>::findMax(const EvtPdf<T>& pc, int N)
+{
+ EvtPdfPred<T> pred(*this);
+ EvtPdfGen<T> gen(pc);
+ pred.compute_max(iter(gen,N),iter(gen));
+ EvtPdfMax<T> p = pred.getMax();
+ return p;
+}
+
+
+template <class T>
+EvtValError EvtPdf<T>::findGenEff(const EvtPdf<T>& pc, int N, int nFindMax)
+{
+ assert(N > 0 || nFindMax > 0);
+ EvtPredGen<EvtPdfGen<T>,EvtPdfPred<T> > gen = accRejGen(pc,nFindMax);
+ int i;
+ for(i=0;i<N;i++) gen();
+ double eff = double(gen.getPassed())/double(gen.getTried());
+ double err = sqrt(double(gen.getPassed()))/double(gen.getTried());
+ return EvtValError(eff,err);
+}
+
+template <class T>
+EvtValError EvtPdf<T>::compute_mc_integral(const EvtPdf<T>& pc, int N)
+{
+ assert(N > 0);
+
+ EvtValError otherItg = pc.getItg();
+ EvtPdfDiv<T> pdfdiv(*this,pc);
+ EvtPdfUnary<T> unary(pdfdiv);
+
+ EvtPdfGen<T> gen(pc);
+ EvtStreamInputIterator<T> begin = iter(gen,N);
+ EvtStreamInputIterator<T> end;
+
+ double sum = 0.;
+ double sum2 = 0.;
+ while(!(begin == end)) {
+
+ double value = pdfdiv.evaluate(*begin++);
+ sum += value;
+ sum2 += value*value;
+ }
+
+ EvtValError x;
+ if(N > 0) {
+ double av = sum/((double) N);
+ if(N > 1) {
+ double dev2 = (sum2 - av*av*N)/((double) (N - 1));
+ // Due to numerical precision dev2 may sometimes be negative
+ if(dev2 < 0.) dev2 = 0.;
+ double error = sqrt(dev2/((double) N));
+ x = EvtValError(av,error);
+ }
+ else x = EvtValError(av);
+ }
+ _itg = x * pc.getItg();
+ return _itg;
+}
+
+template <class T>
+T EvtPdf<T>::randomPoint()
+{
+ printf("Function defined for analytic PDFs only\n");
+ assert(0);
+ T temp;
+ return temp;
+}
+
+template <class T>
+EvtPredGen<EvtPdfGen<T>,EvtPdfPred<T> >
+EvtPdf<T>::accRejGen(const EvtPdf<T>& pc, int nMax, double factor)
+{
+ EvtPdfGen<T> gen(pc);
+ EvtPdfDiv<T> pdfdiv(*this,pc);
+ EvtPdfPred<T> pred(pdfdiv);
+ pred.compute_max(iter(gen,nMax),iter(gen),factor);
+ return EvtPredGen<EvtPdfGen<T>,EvtPdfPred<T> >(gen,pred);
+}
+
+#endif
+
+
+
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPdfMax.hh,v 1.4 2004/12/03 22:18:56 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Pdf maximum and its location
+
+#ifndef EVT_PDF_MAX_HH
+#define EVT_PDF_MAX_HH
+
+#include "EvtGenBase/EvtMacros.hh"
+
+// PDF maximum - helper class
+
+template <class Point>
+class EvtPdfMax {
+
+public:
+
+ EvtPdfMax()
+ : _value(-1),_valueKnown(false), _locKnown(false)
+ {}
+ EvtPdfMax(double value)
+ : _value(value),_valueKnown(true), _locKnown(false)
+ {}
+ EvtPdfMax(Point p, double value)
+ : _value(value), _valueKnown(true), _locKnown(true), _loc(p)
+ {}
+ EvtPdfMax(const EvtPdfMax& other)
+ : COPY_MEM(_value), COPY_MEM(_valueKnown), COPY_MEM(_locKnown), COPY_MEM(_loc)
+ {}
+ ~EvtPdfMax() {}
+
+ bool valueKnown() const { return _valueKnown; }
+ double value() const { assert(_valueKnown); return _value; }
+ bool locKnown() const { return _locKnown; }
+ Point loc() const { assert(_locKnown); return _loc; }
+
+private:
+
+ double _value;
+ bool _valueKnown;
+ bool _locKnown;
+ Point _loc;
+
+};
+
+#endif
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPdfSum.hh,v 1.10 2009/02/19 03:22:30 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Sum of PDF functions.
+
+#ifndef EVT_PDF_SUM_HH
+#define EVT_PDF_SUM_HH
+
+#include <stdio.h>
+#include <vector>
+using std::vector;
+#include "EvtGenBase/EvtPdf.hh"
+
+template <class T>
+class EvtPdfSum : public EvtPdf<T> {
+public:
+
+ EvtPdfSum() {}
+ EvtPdfSum(const EvtPdfSum<T>& other);
+ virtual ~EvtPdfSum();
+ virtual EvtPdf<T>* clone() const { return new EvtPdfSum(*this); }
+
+
+ // Manipulate terms and coefficients
+
+ void addTerm(double c,const EvtPdf<T>& pdf)
+ { assert(c >= 0.); _c.push_back(c); _term.push_back(pdf.clone()); }
+
+ void addOwnedTerm(double c, EvtPdf<T>* pdf)
+ { _c.push_back(c); _term.push_back(pdf); }
+
+ size_t nTerms() const { return _term.size(); } // number of terms
+
+ inline double c(int i) const { return _c[i]; }
+ inline EvtPdf<T>* getPdf(int i) const { return _term[i]; }
+
+
+ // Integrals
+
+ virtual EvtValError compute_integral() const;
+ virtual EvtValError compute_integral(int N) const;
+ virtual T randomPoint();
+
+protected:
+
+ virtual double pdf(const T& p) const;
+
+ vector<double> _c; // coefficients
+ vector<EvtPdf<T>*> _term; // pointers to pdfs
+};
+
+
+template <class T>
+EvtPdfSum<T>::EvtPdfSum(const EvtPdfSum<T>& other)
+ : EvtPdf<T>(other)
+{
+ for(size_t i = 0; i < other.nTerms(); i++) {
+ _c.push_back(other._c[i]);
+ _term.push_back(other._term[i]->clone());
+ }
+}
+
+template <class T>
+EvtPdfSum<T>::~EvtPdfSum()
+{
+ for(size_t i = 0; i < _c.size(); i++) {
+ delete _term[i];
+ }
+}
+
+
+template <class T>
+double EvtPdfSum<T>::pdf(const T& p) const
+{
+ double ret = 0.;
+ for(size_t i=0; i < _c.size(); i++) {
+ ret += _c[i] * _term[i]->evaluate(p);
+ }
+ return ret;
+}
+
+/*
+ * Compute the sum integral by summing all term integrals.
+ */
+
+template <class T>
+EvtValError EvtPdfSum<T>::compute_integral() const
+{
+ EvtValError itg(0.0,0.0);
+ for(size_t i=0;i<nTerms();i++) {
+ itg += _c[i]*_term[i]->getItg();
+ }
+ return itg;
+}
+
+template <class T>
+EvtValError EvtPdfSum<T>::compute_integral(int N) const
+{
+ EvtValError itg(0.0,0.0);
+ for(size_t i=0;i<nTerms();i++) itg += _c[i]*_term[i]->getItg(N);
+ return itg;
+}
+
+
+/*
+ * Sample points randomly according to the sum of PDFs. First throw a random number uniformly
+ * between zero and the value of the sum integral. Using this random number select one
+ * of the PDFs. The generate a random point according to that PDF.
+ */
+
+template <class T>
+T EvtPdfSum<T>::randomPoint()
+{
+ if(!this->_itg.valueKnown()) this->_itg = compute_integral();
+
+ double max = this->_itg.value();
+ double rnd = EvtRandom::Flat(0,max);
+
+ double sum = 0.;
+ size_t i;
+ for(i = 0; i < nTerms(); i++) {
+ double itg = _term[i]->getItg().value();
+ sum += _c[i] * itg;
+ if(sum > rnd) break;
+ }
+
+ return _term[i]->randomPoint();
+}
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPhotonParticle.cc
+//
+// Description: Class to describe massless vectors
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPhotonParticle.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+EvtPhotonParticle::~EvtPhotonParticle(){}
+
+void EvtPhotonParticle::init(EvtId part_n,const EvtVector4R& p4){
+
+ init(part_n,p4.get(0),p4.get(1),
+ p4.get(2),p4.get(3));
+}
+
+void EvtPhotonParticle::init(EvtId part_n,double e,double px,double py,double pz){
+
+ _validP4=true;
+ setp(e,px,py,pz);
+ setpart_num(part_n);
+
+ setLifetime();
+
+ //defere calculation of basis vectors untill they are needed!
+ _evalBasis=0;
+
+}
+
+
+EvtVector4C EvtPhotonParticle::epsParentPhoton(int i){
+
+ if (!_evalBasis){
+
+ _evalBasis=1;
+ eps1.set(EvtComplex(0.0,0.0), EvtComplex(-1.0/sqrt(2.0),0.0),
+ EvtComplex(0.0,-1.0/sqrt(2.0)), EvtComplex(0.0,0.0));
+ eps2.set(EvtComplex(0.0,0.0), EvtComplex(1.0/sqrt(2.0),0.0),
+ EvtComplex(0.0,-1.0/sqrt(2.0)), EvtComplex(0.0,0.0));
+
+ // These are for photon along z axis. Rotate to get
+ // correct direction...
+
+ double phi,theta;
+
+ EvtVector4R p=this->getP4();
+
+ double px=p.get(1);
+ double py=p.get(2);
+ double pz=p.get(3);
+
+ phi = atan2(py,px);
+ theta = acos(pz/sqrt(px*px+py*py+pz*pz));
+ eps1.applyRotateEuler(phi,theta,-phi);
+ eps2.applyRotateEuler(phi,theta,-phi);
+
+ }
+
+
+ EvtVector4C temp;
+
+ switch(i) {
+
+ case 0:
+ temp=eps1;
+ break;
+ case 1:
+ temp=eps2;
+ break;
+ default:
+ report(ERROR,"EvtGen") << "EvtPhotonParticle.cc: Asked "
+ << "for state:"<<i<<endl;
+ ::abort();
+ break;
+ }
+
+ return temp;
+}
+
+EvtVector4C EvtPhotonParticle::epsPhoton(int ){
+
+ report(ERROR,"EvtGen") << "EvtPhotonParticle.cc: Can not get "
+ << "state in photons restframe."<<endl;;
+ ::abort();
+ return EvtVector4C();
+
+}
+
+
+EvtSpinDensity EvtPhotonParticle::rotateToHelicityBasis() const {
+
+ EvtVector4C eplus(0.0,-1.0/sqrt(2.0),
+ EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ EvtVector4C eminus(0.0,1.0/sqrt(2.0),
+ EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ //Really uggly have to cast away constness because the
+ //function epsParentPhoton caches the state vectors...
+ EvtVector4C e1=((EvtParticle*)this)->epsParentPhoton(0);
+ EvtVector4C e2=((EvtParticle*)this)->epsParentPhoton(1);
+
+
+ EvtSpinDensity R;
+ R.setDim(2);
+
+ R.set(0,0,(eplus.conj())*e1);
+ R.set(0,1,(eplus.conj())*e2);
+
+ R.set(1,0,(eminus.conj())*e1);
+ R.set(1,1,(eminus.conj())*e2);
+
+ return R;
+
+}
+
+
+EvtSpinDensity EvtPhotonParticle::rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const{
+
+ EvtVector4C eplus(0.0,-1.0/sqrt(2.0),
+ EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ EvtVector4C eminus(0.0,1.0/sqrt(2.0),
+ EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ eplus.applyRotateEuler(alpha,beta,gamma);
+ eminus.applyRotateEuler(alpha,beta,gamma);
+
+
+ //Really uggly have to cast away constness because the
+ //function epsParentPhoton caches the state vectors...
+ EvtVector4C e1=((EvtParticle*)this)->epsParentPhoton(0);
+ EvtVector4C e2=((EvtParticle*)this)->epsParentPhoton(1);
+
+ EvtSpinDensity R;
+ R.setDim(2);
+
+ R.set(0,0,(eplus.conj())*e1);
+ R.set(0,1,(eplus.conj())*e2);
+
+ R.set(1,0,(eminus.conj())*e1);
+ R.set(1,1,(eminus.conj())*e2);
+
+ return R;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPhotonParticle.hh
+//
+// Description:Class to describe photons
+//
+// Modification history:
+//
+// DJL/RYD Sept. 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPHOTONPARTICLE_HH
+#define EVTPHOTONPARTICLE_HH
+
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtParticle.hh"
+class EvtId;
+
+//Class to handle massless spin 1 particles.
+
+class EvtPhotonParticle: public EvtParticle {
+
+public:
+
+ EvtPhotonParticle(){}
+ virtual ~EvtPhotonParticle();
+
+ void init(EvtId part_n,double e,double px,double py,double pz);
+ void init(EvtId part_n,const EvtVector4R& p4);
+
+ //Return polarization vectors
+ EvtVector4C epsParentPhoton(int i);
+ EvtVector4C epsPhoton(int i);
+
+
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+private:
+
+ EvtVector4C eps1,eps2;
+ int _evalBasis;
+
+ EvtPhotonParticle(const EvtPhotonParticle& photon);
+ EvtPhotonParticle& operator=(const EvtPhotonParticle& photon);
+
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPoint1D.cc,v 1.4 2004/12/21 19:58:47 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Point on a finite 1-D interval. isValid shows whether for a given specification,
+// the coordinate _value is inside the interval defined by _min, _max.
+
+#include <stdio.h>
+#include "EvtGenBase/EvtPoint1D.hh"
+
+EvtPoint1D::EvtPoint1D()
+ : _min(0.), _max(-1.), _value(0.), _valid(false)
+{}
+
+EvtPoint1D::EvtPoint1D(double value)
+ : _min(0.), _max(-1.), _value(value), _valid(true)
+{}
+
+EvtPoint1D::EvtPoint1D(double min, double max, double value)
+ : _min(min), _max(max), _value(value), _valid((_min <= _value && _value <= _max) ? true : false)
+{}
+
+EvtPoint1D::~EvtPoint1D()
+{}
+
+void EvtPoint1D::print() const
+{
+ printf("%f (%f : %f)\n",_value,_min,_max);
+}
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPoint1D.hh,v 1.2 2003/06/20 17:20:10 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Point on a finite 1-D interval. isValid shows whether for a given specification,
+// the coordinate _value is inside the interval defined by _min, _max.
+
+#ifndef EVT_POINT_1D_HH
+#define EVT_POINT_1D_HH
+
+class EvtPoint1D {
+public:
+
+ EvtPoint1D();
+ EvtPoint1D(double value);
+ EvtPoint1D(double min, double max, double value);
+ ~EvtPoint1D();
+
+ bool isValid() const
+ {
+ return _valid;
+ }
+
+ double value() const
+ {
+ return _value;
+ }
+
+ void print() const;
+
+private:
+
+ double _min; // interval minimum
+ double _max; // interval maximum
+ double _value;
+ bool _valid; // valid point inside the interval?
+
+};
+
+#endif
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPointPred.hh,v 1.1 2003/03/03 05:38:19 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Predicate testing validity of a point. The point class must provide
+// bool isValid() method
+
+#ifndef EVT_POINT_PRED_HH
+#define EVT_POINT_PRED_HH
+
+template <class Point> class EvtPointPred {
+public:
+
+ typedef Point argument_type;
+ typedef bool result_type;
+
+ EvtPointPred() {}
+ EvtPointPred(const EvtPointPred&) {}
+ ~EvtPointPred() {}
+
+ result_type operator()(argument_type x)
+ {
+ return x.isValid();
+ }
+};
+#endif
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPredGen.hh,v 1.3 2003/06/19 02:17:14 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// A predicate is applied to a generator to get another generator.
+// Accept-reject can be implemented in this way.
+//
+// Predicate
+// Generator -> Generator
+
+#ifndef EVT_PRED_GEN_HH
+#define EVT_PRED_GEN_HH
+
+#include <stdio.h>
+
+template <class Generator, class Predicate>
+class EvtPredGen {
+
+public:
+
+ typedef typename Generator::result_type result_type;
+
+ EvtPredGen()
+ : itsTried(0), itsPassed(0)
+ {}
+
+ EvtPredGen(Generator gen, Predicate pred)
+ : itsGen(gen), itsPred(pred), itsTried(0), itsPassed(0)
+ {}
+
+ EvtPredGen(const EvtPredGen& other)
+ : itsGen(other.itsGen), itsPred(other.itsPred),
+ itsTried(other.itsTried), itsPassed(other.itsPassed)
+ {}
+
+ ~EvtPredGen()
+ {}
+
+ result_type operator()() {
+
+ int i = 0;
+ int MAX = 10000;
+ while(i++ < MAX) {
+
+ itsTried++;
+ result_type point = itsGen();
+ if(itsPred(point)) {
+ itsPassed++;
+ return point;
+ }
+ }
+
+ printf("No random point generated after %d attempts\n",MAX);
+ printf("Sharp peak? Consider using pole compensation.\n");
+ printf("I will now pick a point at random to return.\n");
+ return itsGen();
+ }
+
+ inline int getTried() const { return itsTried; }
+ inline int getPassed() const { return itsPassed; }
+
+protected:
+
+ Generator itsGen;
+ Predicate itsPred;
+ int itsTried;
+ int itsPassed;
+
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPropBreitWigner.cc,v 1.5 2004/12/21 19:58:47 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <math.h>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtPropBreitWigner.hh"
+
+
+EvtPropBreitWigner::EvtPropBreitWigner(double m0, double g0)
+ : EvtPropagator(m0,g0)
+{}
+
+
+EvtPropBreitWigner::EvtPropBreitWigner(const EvtPropBreitWigner& other)
+ : EvtPropagator(other)
+{}
+
+
+EvtPropBreitWigner::~EvtPropBreitWigner()
+{}
+
+
+EvtAmplitude<EvtPoint1D>* EvtPropBreitWigner::clone() const
+{
+ return new EvtPropBreitWigner(*this);
+}
+
+
+EvtComplex EvtPropBreitWigner::amplitude(const EvtPoint1D& x) const
+{
+ double m = x.value();
+ EvtComplex value = sqrt(_g0/EvtConst::twoPi)/(m-_m0-EvtComplex(0.0,_g0/2.));
+ return value;
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPropBreitWigner.hh,v 1.3 2003/06/20 17:20:11 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Non-relativistic Breit-Wigner propagator
+
+#ifndef EVT_PROP_BREIT_WIGNER_HH
+#define EVT_PROP_BREIT_WIGNER_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPropagator.hh"
+
+class EvtPropBreitWigner : public EvtPropagator {
+public:
+
+ EvtPropBreitWigner(double m0, double g0);
+ EvtPropBreitWigner(const EvtPropBreitWigner& other);
+ ~EvtPropBreitWigner();
+
+ EvtAmplitude<EvtPoint1D>* clone() const;
+
+protected:
+
+ EvtComplex amplitude(const EvtPoint1D& m) const;
+
+};
+
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPropBreitWignerRel.cc,v 1.5 2004/12/21 19:58:47 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <math.h>
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+
+
+EvtPropBreitWignerRel::EvtPropBreitWignerRel(double m0, double g0)
+ : EvtPropagator(m0,g0)
+{}
+
+
+EvtPropBreitWignerRel::EvtPropBreitWignerRel(const EvtPropBreitWignerRel& other)
+ : EvtPropagator(other)
+{}
+
+
+EvtPropBreitWignerRel::~EvtPropBreitWignerRel()
+{}
+
+
+EvtAmplitude<EvtPoint1D>* EvtPropBreitWignerRel::clone() const
+{
+ return new EvtPropBreitWignerRel(*this);
+}
+
+
+EvtComplex EvtPropBreitWignerRel::amplitude(const EvtPoint1D& x) const
+{
+ double m = x.value();
+ return 1./(_m0*_m0-m*m-EvtComplex(0.,_m0*_g0));
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPropBreitWignerRel.hh,v 1.3 2003/06/20 17:20:11 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Relativistic Breit-Wigner Propagator
+
+#ifndef EVT_PROP_BREIT_WIGNER_REL_HH
+#define EVT_PROP_BREIT_WIGNER_REL_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPropagator.hh"
+
+class EvtPropBreitWignerRel : public EvtPropagator {
+public:
+
+ EvtPropBreitWignerRel(double m0, double g0);
+ EvtPropBreitWignerRel(const EvtPropBreitWignerRel& other);
+ ~EvtPropBreitWignerRel();
+
+ EvtAmplitude<EvtPoint1D>* clone() const;
+
+protected:
+
+ EvtComplex amplitude(const EvtPoint1D& x) const;
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author : D. Dujmic, J. Thompson
+ *
+ * Copyright (C) 2005 SLAC
+ *******************************************************************************/
+
+#include <math.h>
+#include "EvtGenBase/EvtPropFlatte.hh"
+
+#include <iostream>
+using std::cout;
+using std::endl;
+
+EvtPropFlatte::EvtPropFlatte(double m0,
+ double g0, double m0a, double m0b,
+ double g1, double m1a, double m1b) :
+ EvtPropagator( m0, g0),
+ _m0a(m0a),
+ _m0b(m0b),
+ _g1 (g1),
+ _m1a(m1a),
+ _m1b(m1b)
+{}
+
+
+EvtPropFlatte::EvtPropFlatte(const EvtPropFlatte& other) :
+ EvtPropagator(other),
+ _m0a (other._m0a),
+ _m0b (other._m0b),
+ _g1 (other._g1),
+ _m1a (other._m1a),
+ _m1b (other._m1b)
+{}
+
+
+EvtPropFlatte::~EvtPropFlatte()
+{}
+
+
+EvtAmplitude<EvtPoint1D>* EvtPropFlatte::clone() const
+{
+ return new EvtPropFlatte(*this);
+}
+
+
+
+EvtComplex EvtPropFlatte::amplitude(const EvtPoint1D& x) const
+{
+
+ /*
+
+ Use BES parameterization:
+
+ 1.
+ -----------------------------------------
+ m0^2 - m^2 - i*m0*( g1*rho1 + g2*rho2 )
+
+
+ Resonance mass: m0
+ Channel1: m0a, m0b, g0
+ Channel2: m1a, m1b, g1
+
+ where breakup momenta q's are:
+
+ E0a = (m^2 + m0a^2 - m0b^2) / 2m
+ q0 = sqrt( E0a^2 - m0a^2 )
+
+ E1a = (m^2 + m1a^2 - m1b^2) / 2m
+ q1 = sqrt( E1a^2 - m1a^2 )
+
+
+ */
+
+
+
+ double s = x.value()*x.value();
+ double m = x.value();
+
+ double E0a = 0.5 * (s + _m0a*_m0a - _m0b*_m0b) / m;
+ double qSq0 = E0a*E0a - _m0a*_m0a;
+
+ double E1a = 0.5 * (s + _m1a*_m1a - _m1b*_m1b) / m;
+ double qSq1 = E1a*E1a - _m1a*_m1a;
+
+ EvtComplex gamma0 = qSq0 >= 0 ? EvtComplex( _g0 * sqrt(qSq0), 0) : EvtComplex( 0, _g0 * sqrt(-qSq0) );
+ EvtComplex gamma1 = qSq1 >= 0 ? EvtComplex( _g1 * sqrt(qSq1), 0) : EvtComplex( 0, _g1 * sqrt(-qSq1) );
+
+ EvtComplex gamma = gamma0 + gamma1;
+
+ EvtComplex a = 1.0/( _m0*_m0 - s - EvtComplex(0.0,2*_m0/m)*gamma );
+
+ return a;
+}
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author: Denis Dujmic, SLAC
+ *
+ * Copyright (C) 2005 SLAC
+ *******************************************************************************/
+
+// Flatte propagator: S.M.Flatte, Phys. Lett. B63, 224 (1976)
+
+#ifndef EVT_PROP_FLATTE_HH
+#define EVT_PROP_FLATTE_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPropagator.hh"
+
+
+class EvtPropFlatte : public EvtPropagator {
+public:
+
+ EvtPropFlatte(double m0,
+ double g0, double m0a, double m0b,
+ double g1, double m1a, double m1b);
+ EvtPropFlatte(const EvtPropFlatte& other);
+ ~EvtPropFlatte();
+
+ EvtAmplitude<EvtPoint1D>* clone() const;
+
+protected:
+
+ EvtComplex amplitude(const EvtPoint1D& x) const;
+
+ double _m0a;
+ double _m0b;
+
+ double _g1;
+ double _m1a;
+ double _m1b;
+
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPropGounarisSakurai.cc,v 1.2 2008/06/27 23:34:54 tlatham Exp $
+ * Author: Matt Graham
+ * modified from EvtPropBreitWignerRel...this should be used for rho's
+ *******************************************************************************/
+
+#include <math.h>
+#include "EvtGenBase/EvtPropGounarisSakurai.hh"
+
+
+EvtPropGounarisSakurai::EvtPropGounarisSakurai(EvtDalitzPlot *dp,
+ EvtCyclic3::Pair pair, double m0, double g0)
+ : EvtPropagator(m0,g0),_pair(pair),_gbase(g0)
+{
+ _dalitzSpace = dp;
+ _m1= dp->m(EvtCyclic3::first(_pair));
+ _m2= dp->m(EvtCyclic3::second(_pair));
+}
+
+
+EvtPropGounarisSakurai::EvtPropGounarisSakurai(const EvtPropGounarisSakurai& other)
+ : EvtPropagator(other), _pair(other._pair), _gbase(other._gbase),
+ _m1(other._m1), _m2(other._m2)
+{
+_dalitzSpace = other._dalitzSpace;
+}
+
+
+EvtPropGounarisSakurai::~EvtPropGounarisSakurai()
+{}
+
+
+EvtAmplitude<EvtPoint1D>* EvtPropGounarisSakurai::clone() const
+{
+ return new EvtPropGounarisSakurai(*this);
+}
+
+
+EvtComplex EvtPropGounarisSakurai::amplitude(const EvtPoint1D& x) const
+{
+ double m = x.value();
+ double s = m*m;
+ double m2=_m0*_m0;
+ double _width=_gbase;
+ double _mass=_m0;
+
+ double A = ( 1 + dFun( m2 )*_width/_mass );
+ double B = s - m2 - fsFun( s );
+ // double C = sqrt(s)*_g0;//wrong!
+ double C = sqrt(m2)*_g0;//correct!
+ double D = B*B + C*C;
+
+ EvtComplex rpt( A*B/D, - A*C/D );
+ return rpt;
+
+
+}
+
+// adapted from RhoPiTools
+double EvtPropGounarisSakurai::fsFun( double s ) const
+{
+ double m2=_m0*_m0;
+
+ EvtTwoBodyKine vd(_m1,_m2,sqrt(s));
+ EvtTwoBodyKine vR(_m1,_m2,_m0);
+ double k_s = vd.p();
+ double k_Am2 = vR.p();
+ //
+ double f = _gbase * m2 / pow( k_Am2, 3 )
+ * (
+ pow( k_s, 2 ) * (hFun( s ) - hFun( m2 ))
+ + (m2 - s) * pow( k_Am2, 2 ) * dh_dsFun( m2 )
+ );
+
+ return f;
+}
+
+
+double EvtPropGounarisSakurai::hFun( double s ) const
+{
+ double sm = _m1 + _m2;
+ double SQRTs = sqrt(s);
+ EvtTwoBodyKine vd(_m1,_m2,sqrt(s));
+ double k_s = vd.p();
+
+ return 2/EvtConst::pi * (k_s/SQRTs) * log( (SQRTs + 2*k_s)/(sm) );
+}
+
+double EvtPropGounarisSakurai::dh_dsFun( double s ) const
+{
+ EvtTwoBodyKine vd(_m1,_m2,sqrt(s));
+ double k_s = vd.p();
+
+ return hFun(s) * ( 1/(8*pow( k_s, 2)) - 1/(2*s) ) + 1/(2*EvtConst::pi*s);
+}
+
+double EvtPropGounarisSakurai::dFun( double s ) const
+{
+ double sm = _m1 + _m2;
+ double sm24 = sm*sm/4;
+ double m = sqrt(s);
+ EvtTwoBodyKine vd(_m1,_m2,sqrt(s));
+ double k_m2 = vd.p();
+ double _pi=EvtConst::pi;
+
+ return 3.0/_pi * sm24/pow( k_m2, 2 ) * log( (m + 2*k_m2)/sm )
+ + m/(2*_pi*k_m2) - sm24*m/(_pi * pow( k_m2, 3 ));
+}
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPropGounarisSakurai.hh,v 1.1 2008/03/04 20:02:16 apwagner Exp $
+ * Author: Matt Graham
+ * modified from EvtPropBreitWignerRel...this should be used for rho's
+ *******************************************************************************/
+
+// Relativistic Breit-Wigner Propagator
+
+#ifndef EVT_PROP_GOUNARIS_SAKURAI_HH
+#define EVT_PROP_GOUNARIS_SAKURAI_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPropagator.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+
+class EvtPropGounarisSakurai : public EvtPropagator {
+public:
+
+ EvtPropGounarisSakurai(EvtDalitzPlot *dp,
+ EvtCyclic3::Pair pair, double m0, double g0);
+ EvtPropGounarisSakurai(const EvtPropGounarisSakurai& other);
+ ~EvtPropGounarisSakurai();
+
+ EvtAmplitude<EvtPoint1D>* clone() const;
+
+protected:
+
+ EvtComplex amplitude(const EvtPoint1D& x) const;
+
+private:
+ EvtDalitzPlot *_dalitzSpace;
+
+ EvtCyclic3::Pair _pair;
+ double _gbase;
+ double _m1;
+ double _m2;
+ double _dfun;
+ double dFun ( double s ) const;
+ double dh_dsFun ( double s ) const;
+ double hFun ( double s ) const;
+ double kFun ( double s ) const;
+ double fsFun ( double s ) const;
+
+};
+
+#endif
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPropagator.hh,v 1.4 2009/02/18 03:31:38 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Defines propagator as a function of mass and width
+
+#ifndef EVT_PROPAGATOR_HH
+#define EVT_PROPAGATOR_HH
+
+#include <assert.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtAmplitude.hh"
+#include "EvtGenBase/EvtPoint1D.hh"
+
+class EvtPropagator : public EvtAmplitude<EvtPoint1D> {
+public:
+
+ EvtPropagator(double m0, double g0)
+ : _m0(m0), _g0(g0)
+ {
+ assert(m0 > 0);
+ assert(g0 >= 0);
+ }
+ EvtPropagator(const EvtPropagator& other)
+ : EvtAmplitude<EvtPoint1D>(other), _m0(other._m0), _g0(other._g0)
+ {}
+ virtual ~EvtPropagator()
+ {}
+
+ // Accessors
+
+ inline double m0() const { return _m0; }
+ inline double g0() const { return _g0; }
+
+ // Modifiers (can be useful e.g. for fitting!)
+
+ inline void set_m0(double m0) { assert(m0>0); _m0 = m0; }
+ inline void set_g0(double g0) { assert(g0>=0); _g0 = g0; }
+
+protected:
+
+ double _m0;
+ double _g0;
+
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPto3PAmp.cc,v 1.21 2009/02/18 03:31:38 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *
+ * Modified: May 30, 2005, Denis Dujmic (ddujmic@slac.stanford.edu): flip sign
+ * for vector resonances (-i -> i at resonance mass).
+ * Introduce Flatte lineshape.
+ *******************************************************************************/
+
+#include <assert.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPto3PAmp.hh"
+#include "EvtGenBase/EvtDalitzCoord.hh"
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+using std::endl;
+using EvtCyclic3::Index;
+using EvtCyclic3::Pair;
+
+
+EvtPto3PAmp::EvtPto3PAmp(EvtDalitzPlot dp, Pair pairAng, Pair pairRes,
+ EvtSpinType::spintype spin,
+ const EvtPropagator& prop, NumType typeN)
+ : EvtAmplitude<EvtDalitzPoint>(),
+ _pairAng(pairAng), _pairRes(pairRes),
+ _spin(spin),
+ _typeN(typeN),
+ _prop((EvtPropagator*) prop.clone()),
+ _g0(prop.g0()),
+ _min(0),
+ _max(0),
+ _vb(prop.m0(),dp.m(EvtCyclic3::other(pairRes)),dp.bigM(),spin),
+ _vd(dp.m(EvtCyclic3::first(pairRes)),dp.m(EvtCyclic3::second(pairRes)),prop.m0(),spin)
+{}
+
+
+
+EvtPto3PAmp::EvtPto3PAmp(const EvtPto3PAmp& other)
+ : EvtAmplitude<EvtDalitzPoint>(other),
+ _pairAng(other._pairAng),
+ _pairRes(other._pairRes),
+ _spin(other._spin),
+ _typeN(other._typeN),
+ _prop( (other._prop) ? (EvtPropagator*) other._prop->clone() : 0),
+ _g0(other._g0),
+ _min(other._min),
+ _max(other._max),
+ _vb(other._vb), _vd(other._vd)
+{}
+
+
+EvtPto3PAmp::~EvtPto3PAmp()
+{
+ if(_prop) delete _prop;
+}
+
+
+void EvtPto3PAmp::set_fd(double R)
+{
+ _vd.set_f(R);
+}
+
+void EvtPto3PAmp::set_fb(double R)
+{
+ _vb.set_f(R);
+}
+
+
+EvtComplex EvtPto3PAmp::amplitude(const EvtDalitzPoint& x) const
+{
+ EvtComplex amp(1.0,0.0);
+
+ double m = sqrt(x.q(_pairRes));
+
+ if ((_max>0 && m > _max) || (_min>0 && m < _min)) return EvtComplex(0.0,0.0);
+
+ EvtTwoBodyKine vd(x.m(EvtCyclic3::first(_pairRes)),
+ x.m(EvtCyclic3::second(_pairRes)),m);
+ EvtTwoBodyKine vb(m,x.m(EvtCyclic3::other(_pairRes)),x.bigM());
+
+
+ // Compute mass-dependent width for relativistic propagators
+
+ if(_typeN!=NBW && _typeN!=FLATTE) {
+
+ _prop->set_g0(_g0*_vd.widthFactor(vd));
+ }
+
+
+ // Compute propagator
+
+ amp *= evalPropagator(m);
+
+
+
+ // Compute form-factors
+
+ amp *= _vd.formFactor(vd);
+ amp *= _vb.formFactor(vb);
+
+ amp *= numerator(x);
+
+ return amp;
+}
+
+
+EvtComplex EvtPto3PAmp::numerator(const EvtDalitzPoint& x) const
+{
+ EvtComplex ret(0.,0.);
+ double m = sqrt(x.q(_pairRes));
+ EvtTwoBodyKine vd(x.m(EvtCyclic3::first(_pairRes)),
+ x.m(EvtCyclic3::second(_pairRes)),m);
+ EvtTwoBodyKine vb(m,x.m(EvtCyclic3::other(_pairRes)),x.bigM());
+
+ // Non-relativistic Breit-Wigner
+
+ if(NBW == _typeN) {
+
+ ret = angDep(x);
+ }
+
+ // Standard relativistic Zemach propagator
+
+ else if(RBW_ZEMACH == _typeN) {
+
+ ret = _vd.phaseSpaceFactor(vd,EvtTwoBodyKine::AB)*angDep(x);
+ }
+
+ // Kuehn-Santamaria normalization:
+
+ else if(RBW_KUEHN == _typeN) {
+
+ ret = _prop->m0()*_prop->m0() * angDep(x);
+ }
+
+
+ // CLEO amplitude is not factorizable
+ //
+ // The CLEO amplitude numerator is proportional to:
+ //
+ // m2_AC - m2_BC + (m2_D - m2_C)(m2_B - m2_A)/m2_0
+ //
+ // m2_AC = (eA + eC)^2 + (P - P_C cosTh(BC))^2
+ // m2_BC = (eB + eC)^2 + (P + P_C cosTh(BC))^2
+ //
+ // The first term m2_AB-m2_BC is therefore a p-wave term
+ // - 4PP_C cosTh(BC)
+ // The second term is an s-wave, the amplitude
+ // does not factorize!
+ //
+ // The first term is just Zemach. However, the sign is flipped!
+ // Let's consistently use the convention in which the amplitude
+ // is proportional to +cosTh(BC). In the CLEO expressions, I will
+ // therefore exchange AB to get rid of the sign flip.
+
+
+ if(RBW_CLEO == _typeN || FLATTE == _typeN || GS == _typeN) {
+
+ Index iA = EvtCyclic3::other(_pairAng); // A = other(BC)
+ Index iB = EvtCyclic3::common(_pairRes,_pairAng); // B = common(AB,BC)
+ Index iC = EvtCyclic3::other(_pairRes); // C = other(AB)
+
+ double M = x.bigM();
+ double mA = x.m(iA);
+ double mB = x.m(iB);
+ double mC = x.m(iC);
+ double qAB = x.q(EvtCyclic3::combine(iA,iB));
+ double qBC = x.q(EvtCyclic3::combine(iB,iC));
+ double qCA = x.q(EvtCyclic3::combine(iC,iA));
+
+ //double m0 = _prop->m0();
+
+ if(_spin == EvtSpinType::SCALAR) ret = EvtComplex(1.,0.);
+ else
+ if(_spin == EvtSpinType::VECTOR) {
+
+ //ret = qCA - qBC - (M*M - mC*mC)*(mA*mA - mB*mB)/m0/m0;
+ ret = qCA - qBC - (M*M - mC*mC)*(mA*mA - mB*mB)/qAB;
+ }
+ else
+ if(_spin == EvtSpinType::TENSOR) {
+
+ //double x1 = qBC - qCA + (M*M - mC*mC)*(mA*mA - mB*mB)/m0/m0;
+ double x1 = qBC - qCA + (M*M - mC*mC)*(mA*mA - mB*mB)/qAB;
+ double x2 = M*M - mC*mC;
+ //double x3 = qAB - 2*M*M - 2*mC*mC + x2*x2/m0/m0;
+ double x3 = qAB - 2*M*M - 2*mC*mC + x2*x2/qAB;
+ double x4 = mB*mB - mA*mA;
+ //double x5 = qAB - 2*mB*mB - 2*mA*mA + x4*x4/m0/m0;
+ double x5 = qAB - 2*mB*mB - 2*mA*mA + x4*x4/qAB;
+ ret = (x1*x1 - 1./3.*x3*x5);
+ }
+ else assert(0);
+ }
+
+ return ret;
+}
+
+
+double EvtPto3PAmp::angDep(const EvtDalitzPoint& x) const
+{
+ // Angular dependece for factorizable amplitudes
+ // unphysical cosines indicate we are in big trouble
+
+ double cosTh = x.cosTh(_pairAng,_pairRes);
+ if(fabs(cosTh) > 1.) {
+
+ report(INFO,"EvtGen") << "cosTh " << cosTh << endl;
+ assert(0);
+ }
+
+ // in units of half-spin
+
+ return EvtdFunction::d(EvtSpinType::getSpin2(_spin),2*0,2*0,acos(cosTh));
+}
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtPto3PAmp.hh,v 1.14 2008/03/04 20:02:16 apwagner Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#ifndef EVT_PTO3P_AMP_HH
+#define EVT_PTO3P_AMP_HH
+
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include <vector>
+using std::vector;
+#include "EvtGenBase/EvtAmplitude.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtPropagator.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+
+class EvtComplex;
+class EvtBlattWeisskopf;
+
+class EvtPto3PAmp : public EvtAmplitude<EvtDalitzPoint> {
+
+
+public:
+
+ // Numerator type
+ enum NumType {NBW=0, RBW_ZEMACH=1, RBW_KUEHN=2, RBW_CLEO=3, FLATTE, GAUSS, DOUBLE_GAUSS,
+ NONRES, NONRES_LIN, NONRES_EXP, NONRES_EXP_ADD, NONRES_CCS, NONRES_LAURA,
+ LASS, GS};
+
+
+ EvtPto3PAmp(EvtDalitzPlot dp, EvtCyclic3::Pair pairAng, EvtCyclic3::Pair pairRes,
+ EvtSpinType::spintype spin,
+ const EvtPropagator& prop, NumType typeN);
+
+
+ EvtPto3PAmp(const EvtPto3PAmp& other);
+
+ ~EvtPto3PAmp();
+
+ virtual EvtAmplitude<EvtDalitzPoint>* clone() const
+ { return new EvtPto3PAmp(*this); }
+
+
+ virtual EvtComplex amplitude(const EvtDalitzPoint& p) const;
+ EvtComplex numerator(const EvtDalitzPoint& p) const;
+ double angDep(const EvtDalitzPoint& p) const;
+
+ void set_fd(double R);
+ void set_fb(double R);
+
+ void setmin(double min) {_min = min;}
+ void setmax(double max) {_max = max;}
+
+ virtual EvtComplex evalPropagator(double m) const { return _prop->evaluate(m); }
+
+private:
+
+ // Pairing indices:
+
+ EvtCyclic3::Pair _pairAng; // angular
+ EvtCyclic3::Pair _pairRes; // resonance
+
+ // Spin
+
+ EvtSpinType::spintype _spin;
+
+ // Numerator type
+
+ NumType _typeN;
+
+
+ // _Owned_ pointer to propagator factor
+
+ EvtPropagator* _prop;
+ double _g0; // nominal width
+ double _min; //min and max values on which
+ double _max; //the resonance is defined
+
+ // Vertices
+
+ EvtTwoBodyVertex _vb;
+ EvtTwoBodyVertex _vd;
+
+};
+
+#endif
+
+
+
+
+
+
+
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtPto3PAmpFactory.cc,v 1.22 2009/02/19 03:22:30 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+// AmpFactory for building a P -> 3P decay
+// (pseudoscalar to three pseudoscalars)
+
+#include <assert.h>
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtPto3PAmp.hh"
+#include "EvtGenBase/EvtNonresonantAmp.hh"
+#include "EvtGenBase/EvtFlatAmp.hh"
+#include "EvtGenBase/EvtLASSAmp.hh"
+#include "EvtGenBase/EvtPto3PAmpFactory.hh"
+#include "EvtGenBase/EvtPropBreitWigner.hh"
+#include "EvtGenBase/EvtPropFlatte.hh"
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+#include "EvtGenBase/EvtDalitzResPdf.hh"
+#include "EvtGenBase/EvtDalitzFlatPdf.hh"
+
+using namespace EvtCyclic3;
+#include <iostream>
+
+void EvtPto3PAmpFactory::processAmp(EvtComplex c, std::vector<std::string> vv, bool conj)
+{
+ if(_verbose) {
+
+ printf("Make %samplitude\n",conj ? "CP conjugate" : "");
+ unsigned i;
+ for(i=0;i<vv.size();i++) printf("%s\n",vv[i].c_str());
+ printf("\n");
+ }
+
+ EvtAmplitude<EvtDalitzPoint>* amp = 0;
+ EvtPdf<EvtDalitzPoint>* pdf = 0;
+ std::string name;
+ Pair pairRes=AB;
+
+ size_t i;
+ /*
+ Experimental amplitudes
+ */
+ if(vv[0] == "PHASESPACE") {
+
+ pdf = new EvtDalitzFlatPdf(_dp);
+ amp = new EvtFlatAmp<EvtDalitzPoint>();
+ name = "NR";
+ }
+ else if (!vv[0].find("NONRES")) {
+ double alpha=0;
+ EvtPto3PAmp::NumType typeNRes=EvtPto3PAmp::NONRES;
+ if (vv[0]=="NONRES_LIN") {
+ typeNRes=EvtPto3PAmp::NONRES_LIN;
+ pairRes=strToPair(vv[1].c_str());
+ }
+ else if (vv[0]=="NONRES_EXP") {
+ typeNRes=EvtPto3PAmp::NONRES_EXP;
+ pairRes = strToPair(vv[1].c_str());
+ alpha = strtod(vv[2].c_str(),0);
+ }
+ else assert(0);
+ pdf = new EvtDalitzFlatPdf(_dp);
+ amp = new EvtNonresonantAmp( &_dp, typeNRes, pairRes, alpha);
+ }
+ else if (vv[0]=="LASS") {
+ pairRes = strToPair(vv[1].c_str());
+ double m0 = strtod(vv[2].c_str(),0);
+ double g0 = strtod(vv[3].c_str(),0);
+ double a = strtod(vv[4].c_str(),0);
+ double r = strtod(vv[5].c_str(),0);
+ double cutoff = strtod(vv[6].c_str(),0);
+ pdf = new EvtDalitzResPdf(_dp,m0,g0,pairRes);
+ amp = new EvtLASSAmp( &_dp, pairRes, m0, g0, a, r, cutoff);
+ }
+
+ /*
+ Resonant amplitudes
+ */
+ else if(vv[0] == "RESONANCE") {
+ EvtPto3PAmp* partAmp = 0;
+
+ // RESONANCE stanza
+
+ pairRes = strToPair(vv[1].c_str());
+ EvtSpinType::spintype spinR;
+ double mR, gR;
+ name = vv[2];
+ EvtId resId = EvtPDL::getId(vv[2]);
+ if(_verbose) printf("Particles %s form %sresonance %s\n",
+ vv[1].c_str(),vv[2].c_str(), conj ? "(conj) " : "");
+
+ // If no valid particle name is given, assume that
+ // it is the spin, the mass and the width of the particle.
+
+ if(resId.getId() == -1) {
+
+ switch(atoi(vv[2].c_str())) {
+
+ case 0: { spinR = EvtSpinType::SCALAR; break; }
+ case 1: { spinR = EvtSpinType::VECTOR; break; }
+ case 2: { spinR = EvtSpinType::TENSOR; break; }
+ case 3: { spinR = EvtSpinType::SPIN3; break; }
+ case 4: { spinR = EvtSpinType::SPIN4; break; }
+ default: { assert(0); break; }
+ }
+
+ mR = strtod(vv[3].c_str(),0);
+ gR = strtod(vv[4].c_str(),0);
+ i = 4;
+ }
+ else {
+
+ // For a valid particle get spin, mass and width
+
+ spinR = EvtPDL::getSpinType(resId);
+ mR = EvtPDL::getMeanMass(resId);
+ gR = EvtPDL::getWidth(resId);
+ i = 2;
+
+ // It's possible to specify mass and width of a particle
+ // explicitly
+
+ if(vv[3] != "ANGULAR") {
+
+ if(_verbose)
+ printf("Setting m(%s)=%s g(%s)=%s\n",
+ vv[2].c_str(),vv[3].c_str(),vv[2].c_str(),vv[4].c_str());
+
+ mR = strtod(vv[3].c_str(),0);
+ gR = strtod(vv[4].c_str(),0);
+ i = 4;
+ }
+ }
+
+ // ANGULAR stanza
+
+ if(vv[++i] != "ANGULAR") {
+
+ printf("%s instead of ANGULAR\n",vv[i].c_str());
+ exit(0);
+ }
+ Pair pairAng = strToPair(vv[++i].c_str());
+ if(_verbose) printf("Angle is measured between particles %s\n",vv[i].c_str());
+
+ // TYPE stanza
+
+ assert(vv[++i] == "TYPE");
+ std::string type = vv[++i];
+ if(_verbose) printf("Propagator type %s\n",vv[i].c_str());
+
+ if(type == "NBW") {
+
+ EvtPropBreitWigner prop(mR,gR);
+ partAmp = new EvtPto3PAmp(_dp,pairAng,pairRes,spinR,prop,EvtPto3PAmp::NBW);
+ }
+ else if(type == "RBW_ZEMACH") {
+
+ EvtPropBreitWignerRel prop(mR,gR);
+ partAmp = new EvtPto3PAmp(_dp,pairAng,pairRes,spinR,prop,EvtPto3PAmp::RBW_ZEMACH);
+ }
+ else if(type == "RBW_KUEHN") {
+
+ EvtPropBreitWignerRel prop(mR,gR);
+ partAmp = new EvtPto3PAmp(_dp,pairAng,pairRes,spinR,prop,EvtPto3PAmp::RBW_KUEHN);
+ }
+ else if(type == "RBW_CLEO") {
+
+ EvtPropBreitWignerRel prop(mR,gR);
+ partAmp = new EvtPto3PAmp(_dp,pairAng,pairRes,spinR,prop,EvtPto3PAmp::RBW_CLEO);
+ }
+ else if(type == "FLATTE") {
+
+ double m1a = _dp.m( first(pairRes) );
+ double m1b = _dp.m( second(pairRes) );
+ // 2nd channel
+ double g2 = strtod(vv[++i].c_str(),0);
+ double m2a = strtod(vv[++i].c_str(),0);
+ double m2b = strtod(vv[++i].c_str(),0);
+ EvtPropFlatte prop( mR, gR, m1a, m1b, g2, m2a, m2b );
+ partAmp = new EvtPto3PAmp(_dp,pairAng,pairRes,spinR,prop,EvtPto3PAmp::FLATTE);
+ }
+ else assert(0);
+
+ // Optional DVFF, BVFF stanzas
+
+ if(i < vv.size() - 1) {
+ if(vv[i+1] == "DVFF") {
+ i++;
+ if(vv[++i] == "BLATTWEISSKOPF") {
+
+ double R = strtod(vv[++i].c_str(),0);
+ partAmp->set_fd(R);
+ }
+ else assert(0);
+ }
+ }
+
+ if(i < vv.size() - 1) {
+ if(vv[i+1] == "BVFF") {
+ i++;
+ if(vv[++i] == "BLATTWEISSKOPF") {
+
+ if(_verbose) printf("BVFF=%s\n",vv[i].c_str());
+ double R = strtod(vv[++i].c_str(),0);
+ partAmp->set_fb(R);
+ }
+ else assert(0);
+ }
+ }
+
+ const int minwidths=5;
+ //Optional resonance minimum and maximum
+ if(i < vv.size() - 1) {
+ if(vv[i+1] == "CUTOFF") {
+ i++;
+ if(vv[i+1] == "MIN") {
+ i++;
+ double min = strtod(vv[++i].c_str(),0);
+ if(_verbose) std::cout<<"CUTOFF MIN = "<<min<<std::endl;
+ //ensure against cutting off too close to the resonance
+ assert( min<(mR-minwidths*gR) );
+ partAmp->setmin(min);
+ }
+ else if (vv[i+1] == "MAX") {
+ i++;
+ double max = strtod(vv[++i].c_str(),0);
+ if(_verbose) std::cout<<"CUTOFF MAX = "<<max<<std::endl;
+ //ensure against cutting off too close to the resonance
+ assert( max>(mR+minwidths*gR) );
+ partAmp->setmax(max);
+ }
+ else assert(0);
+ }
+ }
+
+ //2nd iteration in case min and max are both specified
+ if(i < vv.size() - 1) {
+ if(vv[i+1] == "CUTOFF") {
+ i++;
+ if(vv[i+1] == "MIN") {
+ i++;
+ double min = strtod(vv[++i].c_str(),0);
+ if(_verbose) std::cout<<"CUTOFF MIN = "<<min<<std::endl;
+ //ensure against cutting off too close to the resonance
+ assert( min<(mR-minwidths*gR) );
+ partAmp->setmin(min);
+ }
+ else if (vv[i+1] == "MAX") {
+ i++;
+ double max = strtod(vv[++i].c_str(),0);
+ if(_verbose) std::cout<<"CUTOFF MAX = "<<max<<std::endl;
+ //ensure against cutting off too close to the resonance
+ assert( max>(mR+minwidths*gR) );
+ partAmp->setmax(max);
+ }
+ else assert(0);
+ }
+ }
+
+
+ i++;
+
+ pdf = new EvtDalitzResPdf(_dp,mR,gR,pairRes);
+ amp = partAmp;
+ }
+
+ assert(amp);
+ assert(pdf);
+
+ if(!conj) {
+ _amp->addOwnedTerm(c,amp);
+ }
+ else {
+ _ampConj->addOwnedTerm(c,amp);
+ }
+
+ double scale = matchIsobarCoef(_amp, pdf, pairRes);
+ _pc->addOwnedTerm(abs2(c)*scale,pdf);
+
+ _names.push_back(name);
+}
+
+double EvtPto3PAmpFactory::matchIsobarCoef(EvtAmplitude<EvtDalitzPoint>* amp,
+ EvtPdf<EvtDalitzPoint>* pdf,
+ EvtCyclic3::Pair ipair) {
+
+ // account for differences in the definition of amplitudes by matching
+ // Integral( c'*pdf ) = Integral( c*|A|^2 )
+ // to improve generation efficiency ...
+
+ double Ipdf = pdf->compute_integral(10000).value();
+ double Iamp2 = 0;
+
+
+ EvtCyclic3::Pair jpair = EvtCyclic3::next(ipair);
+ EvtCyclic3::Pair kpair = EvtCyclic3::next(jpair);
+
+ // Trapezoidal integral
+ int N=10000;
+
+ double di = (_dp.qAbsMax(ipair) - _dp.qAbsMin(ipair))/((double) N);
+
+ double siMin = _dp.qAbsMin(ipair);
+
+ double s[3]; // playing with fire
+ for(int i=1; i<N; i++) {
+
+ s[ipair] = siMin + di*i;
+ s[jpair] = _dp.q(jpair, 0.9999, ipair, s[ipair]);
+ s[kpair] = _dp.bigM()*_dp.bigM() - s[ipair] - s[jpair]
+ + _dp.mA()*_dp.mA() + _dp.mB()*_dp.mB() + _dp.mC()*_dp.mC();
+
+ EvtDalitzPoint point( _dp.mA(), _dp.mB(), _dp.mC(),
+ s[EvtCyclic3::AB], s[EvtCyclic3::BC], s[EvtCyclic3::CA]);
+
+ if (!point.isValid()) continue;
+
+ double p = point.p(other(ipair), ipair);
+ double q = point.p(first(ipair), ipair);
+
+ double itg = abs2( amp->evaluate(point) )*di*4*q*p;
+ Iamp2 += itg;
+
+ }
+ if (_verbose) std::cout << "integral = " << Iamp2 << " pdf="<<Ipdf << std::endl;
+
+ assert(Ipdf>0 && Iamp2>0);
+
+ return Iamp2/Ipdf;
+}
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtPto3PAmpFactory.hh,v 1.10 2006/01/31 18:08:46 ddujmic Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+
+#ifndef EVT_PTO3P_AMP_FACTORY_HH
+#define EVT_PTO3P_AMP_FACTORY_HH
+
+#include <vector>
+#include <string>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtAmpFactory.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+
+class EvtPto3PAmpFactory : public EvtAmpFactory<EvtDalitzPoint> {
+
+public:
+
+ EvtPto3PAmpFactory(const EvtDalitzPlot& dp)
+ : EvtAmpFactory<EvtDalitzPoint>(), _dp(dp)
+ {}
+ EvtPto3PAmpFactory(const EvtPto3PAmpFactory& other)
+ : EvtAmpFactory<EvtDalitzPoint>(other), _dp(other._dp)
+ {}
+ virtual ~EvtPto3PAmpFactory()
+ {}
+
+ virtual EvtAmpFactory<EvtDalitzPoint>* clone() const
+ {
+ return new EvtPto3PAmpFactory(*this);
+ }
+
+ virtual void processAmp(EvtComplex c, std::vector<std::string> vv, bool conj);
+
+private:
+
+ double matchIsobarCoef(EvtAmplitude<EvtDalitzPoint>* amp,
+ EvtPdf<EvtDalitzPoint>* pdf,
+ EvtCyclic3::Pair i);
+
+
+ EvtDalitzPlot _dp;
+
+};
+
+#endif
+
+
+
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author: D. Dujmic, ddujmic@slac.stanford.edu
+ *
+ * Copyright (C) 2005 SLAC
+ *
+ *******************************************************************************/
+
+#include <assert.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPto3PAmpSmpResolution.hh"
+#include "EvtGenBase/EvtPto3PAmp.hh"
+#include "EvtGenBase/EvtDalitzCoord.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+using std::cout;
+using std::endl;
+using EvtCyclic3::Index;
+using EvtCyclic3::Pair;
+
+
+
+EvtPto3PAmpSmpResolution::EvtPto3PAmpSmpResolution(EvtDalitzPlot dp, Pair pairAng, Pair pairRes,
+ EvtSpinType::spintype spin,
+ const EvtPropagator& prop, NumType typeN)
+ : EvtPto3PAmp(dp, pairAng, pairRes, spin, prop, typeN)
+{}
+
+
+
+EvtPto3PAmpSmpResolution::EvtPto3PAmpSmpResolution(const EvtPto3PAmp& other)
+ : EvtPto3PAmp(other)
+{}
+
+
+EvtPto3PAmpSmpResolution::~EvtPto3PAmpSmpResolution()
+{}
+
+
+EvtComplex
+EvtPto3PAmpSmpResolution::evalPropagator(double m) const
+{
+ EvtComplex prop(0,0);
+
+ if (_sigma>0) { // convolved
+ int nconv=20;
+ double min=m+_bias-_sigma*2.5;
+ double max=m+_bias+_sigma*2.5;
+ double dm=(max-min)/nconv;
+ static double sqrt2pi = sqrt(2*3.14159);
+ double ifact = 1./(sqrt2pi*_sigma);
+ for (int i=0;i<nconv; i++) {
+ double mprime = min+dm*(i+0.5);
+ double t = (mprime-m)/_sigma;
+ prop += ifact * exp(-0.5*t*t)*EvtPto3PAmp::evalPropagator(m)*dm;
+ }
+ } else {
+ prop = EvtPto3PAmp::evalPropagator(m);
+ }
+
+ return prop;
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * Author: D. Dujmic, ddujmic@slac.stanford.edu
+ *
+ * Copyright (C) 2005 SLAC
+ *******************************************************************************/
+
+#ifndef EVT_PTO3P_AMP_SMPRSL_HH
+#define EVT_PTO3P_AMP_SMPRSL_HH
+
+#include "EvtGenBase/EvtPto3PAmp.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+
+
+class EvtComplex;
+
+class EvtPto3PAmpSmpResolution : public EvtPto3PAmp {
+
+
+public:
+
+
+ EvtPto3PAmpSmpResolution(EvtDalitzPlot dp,
+ EvtCyclic3::Pair pairAng, EvtCyclic3::Pair pairRes,
+ EvtSpinType::spintype spin,
+ const EvtPropagator& prop, NumType typeN);
+
+
+ EvtPto3PAmpSmpResolution(const EvtPto3PAmp& other);
+
+ ~EvtPto3PAmpSmpResolution();
+
+ virtual EvtAmplitude<EvtDalitzPoint>* clone() const
+ { return new EvtPto3PAmpSmpResolution(*this); }
+
+
+ virtual EvtComplex evalPropagator(double m) const;
+
+ void setResolution(double bias, double sigma) {
+ _bias=bias; _sigma=sigma;
+ }
+
+
+private:
+ double _bias;
+ double _sigma;
+};
+
+#endif
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtRadCorr.cc
+//
+// Description: RadCorr interface for EvtGen
+//
+//
+// Modification history:
+//
+// Lange April 27, 2002 - Created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include <iostream>
+#include "EvtGenBase/EvtAbsRadCorr.hh"
+#include "EvtGenBase/EvtRadCorr.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+
+EvtAbsRadCorr* EvtRadCorr::_fsrEngine=0;
+bool EvtRadCorr::_alwaysRadCorr=false;
+bool EvtRadCorr::_neverRadCorr=false;
+
+EvtRadCorr::EvtRadCorr() {
+ _fsrEngine=0;
+ _alwaysRadCorr=false;
+ _neverRadCorr=false;
+}
+
+EvtRadCorr::~EvtRadCorr() {
+ if ( _fsrEngine ) delete _fsrEngine;
+ _fsrEngine=0;
+}
+
+void EvtRadCorr::setRadCorrEngine(EvtAbsRadCorr* fsrEngine){
+ _fsrEngine=fsrEngine;
+}
+
+
+void EvtRadCorr::doRadCorr(EvtParticle *p){
+
+ if (_fsrEngine==0){
+ report(ERROR,"EvtGen") <<"No RadCorr model available in "
+ <<"EvtRadCorr::doRadCorr()."<<endl;
+ ::abort();
+ }
+
+ if ( !_neverRadCorr) _fsrEngine->doRadCorr(p);
+ return;
+}
+
+
+bool EvtRadCorr::alwaysRadCorr() {return _alwaysRadCorr;}
+bool EvtRadCorr::neverRadCorr() {return _neverRadCorr;}
+
+void EvtRadCorr::setAlwaysRadCorr() { _alwaysRadCorr=true; _neverRadCorr=false;}
+void EvtRadCorr::setNeverRadCorr() { _alwaysRadCorr=false; _neverRadCorr=true;}
+void EvtRadCorr::setNormalRadCorr() {_alwaysRadCorr=false; _neverRadCorr=false;}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtRadCorr.hh
+//
+// Description:FSR interface
+//
+// Modification history:
+//
+// Lange April 27, 2002 Created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRADCORR_HH
+#define EVTRADCORR_HH
+
+
+class EvtAbsRadCorr;
+class EvtParticle;
+
+class EvtRadCorr{
+
+public:
+ EvtRadCorr();
+ ~EvtRadCorr();
+
+ static void doRadCorr(EvtParticle *p);
+
+ //This class does not take ownership of the fsr engine;
+ //the caller needs to make sure that the engine is not
+ //destroyed.
+ static void setRadCorrEngine(EvtAbsRadCorr* fsrEngine);
+ static bool alwaysRadCorr();
+ static bool neverRadCorr();
+ static void setAlwaysRadCorr();
+ static void setNeverRadCorr();
+ static void setNormalRadCorr();
+
+private:
+
+ static EvtAbsRadCorr* _fsrEngine;
+ static bool _alwaysRadCorr;
+ static bool _neverRadCorr;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtRanFor.cc,v 1.4 2009/02/18 03:31:38 ryd Exp $
+//
+// Description:
+// subroutine emcranfor_.
+// Provides FORTRAN calable interface to EvtRandom::Flat()
+// Can be used as EVTRANFOR instead of RANLUX in FORTRAN programs
+// or as evtranfor_ instead of ranlux_ in C/C++ programs.
+// No header file is provided, as C++ programs should use EvtRandom
+//
+// Environment:
+// Software developed for the BaBar Detector at the SLAC B-Factory.
+//
+// Author List:
+// Sven Menke
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtRandom.hh"
+#ifdef WIN32
+extern "C" {
+ void EVTRANFOR(float *rvec, int *len)
+ {
+ for (int i=0;i<*len;i++)
+ rvec[i] = EvtRandom::Flat();
+ }
+}
+#else
+extern "C" {
+ void evtranfor_(float *rvec, int *len)
+ {
+ for (int i=0;i<*len;i++)
+ rvec[i] = EvtRandom::Flat();
+ }
+}
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtRandom.cc
+//
+// Description: routines to get random numbers from
+// random number generator.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include <stdio.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtRandomEngine.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtConst.hh"
+
+using std::endl;
+
+
+EvtRandomEngine* EvtRandom::_randomEngine=0;
+
+void EvtRandom::setRandomEngine(EvtRandomEngine* randomEngine){
+ _randomEngine=randomEngine;
+}
+
+
+double EvtRandom::random(){
+
+ if (_randomEngine==0){
+ report(ERROR,"EvtGen") <<"No random engine available in "
+ <<"EvtRandom::random()."<<endl;
+ ::abort();
+ }
+
+ return _randomEngine->random();
+
+}
+
+
+// Random number routine to generate numbers between
+// min and max. By djl on July 27, 1995.
+double EvtRandom::Flat( double min, double max){
+
+ if ( min > max ) {
+ report(ERROR,"EvtGen") << "min>max in EvtRandom::Flat(" << min << "," << max << ")" <<endl;
+ ::abort();
+ }
+
+ return EvtRandom::random()*( max - min )+min;
+
+}
+
+double EvtRandom::Flat(double max){
+
+ return max*EvtRandom::random();
+
+}
+
+double EvtRandom::Flat(){
+
+ return EvtRandom::random();
+
+}
+
+double EvtRandom::Gaussian(){
+
+ double x=EvtRandom::random();
+ double y=EvtRandom::random();
+
+ return cos(x*EvtConst::twoPi)*sqrt(-2.0*log(1-y));
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtRandom.hh
+//
+// Description:Source of random numbers for EvtGen code
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRANDOM_HH
+#define EVTRANDOM_HH
+
+
+class EvtRandomEngine;
+
+class EvtRandom{
+
+public:
+
+ static double Flat();
+ static double Flat(double max);
+ static double Flat(double min, double max);
+
+ //generate unit Gaussian
+ static double Gaussian();
+
+ static double random();
+
+ //This class does not take ownership of the random engine;
+ //the caller needs to make sure that the engine is not
+ //destroyed.
+ static void setRandomEngine(EvtRandomEngine* randomEngine);
+
+private:
+
+ static EvtRandomEngine* _randomEngine;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtRandom.hh
+//
+// Description:Class to generate random numbers. Single member
+// function random is expected to return a random
+// number in the range ]0..1[.
+//
+// Modification history:
+//
+// RYD December 25, 1999 Module created
+// RYD October 2, 2006 Converted to a pure interface class
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRANDOMENGINE_HH
+#define EVTRANDOMENGINE_HH
+
+#include <TRandom.h>
+
+class EvtRandomEngine{
+
+public:
+
+ virtual ~EvtRandomEngine() {};
+
+ virtual double random()=0;
+
+private:
+
+};
+
+//define class for generating random numbers (I put this in place of the commented part)
+class EvtNUMRandomEngine:public EvtRandomEngine{
+public:
+ double random(){return gRandom->Rndm();}
+};
+
+
+//old lines: those are in the macro testEvtGen.cc
+/*
+//define class for generating random numbers
+class EvtCLHEPRandomEngine:public EvtRandomEngine{
+public:
+ double random();
+};
+
+#ifdef NOCLHEPNAMESPACE
+namespace CLHEP {
+typedef HepJamesRandom HepJamesRandom ;
+}
+#endif
+
+double EvtCLHEPRandomEngine::random(){
+ static CLHEP::HepJamesRandom randengine;
+ return randengine.flat();
+}
+*/
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtRanf.cc,v 1.1 2009/02/28 11:14:16 lange Exp $
+//
+// Description:
+// subroutine evtranf_.
+// Provides FORTRAN calable interface to EvtRandom::Flat()
+// Can be used as EVTRANF instead of RANF in FORTRAN programs
+// or as evtranf_ instead of ranf_ in C/C++ programs.
+// No header file is provided, as C++ programs should use EvtRandom
+//
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtRandom.hh"
+#ifdef WIN32
+extern "C" {
+ double __stdcall EVTRANF( )
+ {
+ return EvtRandom::Flat() ;
+ }
+}
+#else
+extern "C" {
+ double evtranf_( )
+ {
+ return EvtRandom::Flat() ;
+ }
+}
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtGen/EvtRaritaSchwing.hh
+//
+// Description:Class to handle spin 3/2
+//
+// Modification history:
+//
+// RYD April 23, 2000 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+
+#include "EvtGenBase/EvtRaritaSchwinger.hh"
+using std::endl;
+using std::ostream;
+
+EvtRaritaSchwinger::~EvtRaritaSchwinger(){}
+
+
+EvtRaritaSchwinger rotateEuler(const EvtRaritaSchwinger& rs,
+ double alpha,double beta,double gamma){
+
+ EvtRaritaSchwinger tmp(rs);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+EvtRaritaSchwinger boostTo(const EvtRaritaSchwinger& rs,
+ const EvtVector4R p4){
+
+ EvtRaritaSchwinger tmp(rs);
+ tmp.applyBoostTo(p4);
+ return tmp;
+
+}
+
+EvtRaritaSchwinger boostTo(const EvtRaritaSchwinger& rs,
+ const EvtVector3R boost){
+
+ EvtRaritaSchwinger tmp(rs);
+ tmp.applyBoostTo(boost);
+ return tmp;
+
+}
+
+
+void EvtRaritaSchwinger::set(int i,int j,const EvtComplex& sp){_rs[i][j]=sp;}
+
+EvtComplex EvtRaritaSchwinger::get(int i,int j) const {return _rs[i][j];}
+
+void EvtRaritaSchwinger::applyRotateEuler(double alpha,double beta,
+ double gamma){
+
+ //inefficient but simple to code...
+ EvtVector4C v0=getVector(0);
+ EvtVector4C v1=getVector(1);
+ EvtVector4C v2=getVector(2);
+ EvtVector4C v3=getVector(3);
+ v0.applyRotateEuler(alpha,beta,gamma);
+ v1.applyRotateEuler(alpha,beta,gamma);
+ v2.applyRotateEuler(alpha,beta,gamma);
+ v3.applyRotateEuler(alpha,beta,gamma);
+ setVector(0,v0);
+ setVector(1,v1);
+ setVector(2,v2);
+ setVector(3,v3);
+ EvtDiracSpinor sp0=getSpinor(0);
+ EvtDiracSpinor sp1=getSpinor(1);
+ EvtDiracSpinor sp2=getSpinor(2);
+ EvtDiracSpinor sp3=getSpinor(3);
+ sp0.applyRotateEuler(alpha,beta,gamma);
+ sp1.applyRotateEuler(alpha,beta,gamma);
+ sp2.applyRotateEuler(alpha,beta,gamma);
+ sp3.applyRotateEuler(alpha,beta,gamma);
+ setSpinor(0,sp0);
+ setSpinor(1,sp1);
+ setSpinor(2,sp2);
+ setSpinor(3,sp3);
+
+}
+
+
+void EvtRaritaSchwinger::applyBoostTo(const EvtVector4R p4){
+
+ double e=p4.get(0);
+
+ EvtVector3R boost(p4.get(1)/e,p4.get(2)/e,p4.get(3)/e);
+
+ applyBoostTo(boost);
+
+ return;
+
+}
+
+
+void EvtRaritaSchwinger::applyBoostTo(const EvtVector3R boost){
+
+ //inefficient but simple to code...
+ EvtVector4C v0=getVector(0);
+ EvtVector4C v1=getVector(1);
+ EvtVector4C v2=getVector(2);
+ EvtVector4C v3=getVector(3);
+ v0.applyBoostTo(boost);
+ v1.applyBoostTo(boost);
+ v2.applyBoostTo(boost);
+ v3.applyBoostTo(boost);
+ setVector(0,v0);
+ setVector(1,v1);
+ setVector(2,v2);
+ setVector(3,v3);
+ EvtDiracSpinor sp0=getSpinor(0);
+ EvtDiracSpinor sp1=getSpinor(1);
+ EvtDiracSpinor sp2=getSpinor(2);
+ EvtDiracSpinor sp3=getSpinor(3);
+ sp0.applyBoostTo(boost);
+ sp1.applyBoostTo(boost);
+ sp2.applyBoostTo(boost);
+ sp3.applyBoostTo(boost);
+ setSpinor(0,sp0);
+ setSpinor(1,sp1);
+ setSpinor(2,sp2);
+ setSpinor(3,sp3);
+
+
+}
+
+
+ostream& operator<<(ostream& s, const EvtRaritaSchwinger& rs){
+
+ int i,j;
+ s<< endl;
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ s << rs._rs[i][j];
+ }
+ s << endl;
+ }
+ return s;
+
+}
+
+
+
+EvtVector4C EvtRaritaSchwinger::getVector(int i) const{
+
+ EvtVector4C tmp(_rs[i][0],_rs[i][1],_rs[i][2],_rs[i][3]);
+ return tmp;
+
+}
+
+EvtDiracSpinor EvtRaritaSchwinger::getSpinor(int i) const{
+
+ EvtDiracSpinor tmp;
+ tmp.set(_rs[0][i],_rs[1][i],_rs[2][i],_rs[3][i]);
+ return tmp;
+
+}
+
+void EvtRaritaSchwinger::setVector(int i,const EvtVector4C& v){
+
+ _rs[i][0]=v.get(0);
+ _rs[i][1]=v.get(1);
+ _rs[i][2]=v.get(2);
+ _rs[i][3]=v.get(3);
+
+}
+
+void EvtRaritaSchwinger::setSpinor(int i,const EvtDiracSpinor& sp){
+
+ _rs[0][i]=sp.get_spinor(0);
+ _rs[1][i]=sp.get_spinor(1);
+ _rs[2][i]=sp.get_spinor(2);
+ _rs[3][i]=sp.get_spinor(3);
+
+}
+
+
+EvtRaritaSchwinger dirProd(EvtVector4R v,EvtDiracSpinor u){
+
+ int i,j;
+
+ EvtRaritaSchwinger tmp;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ tmp._rs[i][j]=u.get_spinor(i)*v.get(j);
+ }
+ }
+
+ return tmp;
+
+}
+
+
+EvtRaritaSchwinger dirProd(EvtVector4C v,EvtDiracSpinor u){
+
+ int i,j;
+
+ EvtRaritaSchwinger tmp;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ tmp._rs[i][j]=u.get_spinor(i)*v.get(j);
+ }
+ }
+
+ return tmp;
+
+}
+
+
+EvtComplex operator*(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2){
+
+ int i,j;
+ EvtComplex tmp=0.0;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ tmp+=conj(u1._rs[i][j])*u2._rs[i][j];
+ }
+ }
+
+ return tmp;
+
+}
+
+
+
+EvtRaritaSchwinger& EvtRaritaSchwinger::operator+=(const EvtRaritaSchwinger& u2){
+
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _rs[i][j]+=u2._rs[i][j];
+ }
+ }
+
+ return *this;
+}
+
+EvtRaritaSchwinger operator+(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2){
+
+ return EvtRaritaSchwinger(u1)+=u2;
+
+}
+
+EvtRaritaSchwinger& EvtRaritaSchwinger::operator-=(const EvtRaritaSchwinger& u2){
+
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _rs[i][j]+=u2._rs[i][j];
+ }
+ }
+
+ return *this;
+}
+
+EvtRaritaSchwinger operator-(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2){
+
+ return EvtRaritaSchwinger(u1)-=u2;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtGen/EvtRaritaSchwing.hh
+//
+// Description:Class to handle spin 3/2
+//
+// Modification history:
+//
+// RYD April 23, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRARITASCHWINGER_HH
+#define EVTRARITASCHWINGER_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+
+class EvtRaritaSchwinger ;
+EvtRaritaSchwinger rotateEuler(const EvtRaritaSchwinger& rs,
+ double alpha,double beta,double gamma);
+EvtRaritaSchwinger boostTo(const EvtRaritaSchwinger& rs,
+ const EvtVector4R p4);
+EvtRaritaSchwinger boostTo(const EvtRaritaSchwinger& rs,
+ const EvtVector3R boost);
+EvtRaritaSchwinger dirProd(EvtVector4R v,EvtDiracSpinor u);
+EvtRaritaSchwinger dirProd(EvtVector4C v,EvtDiracSpinor u);
+EvtRaritaSchwinger operator+(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2);
+EvtRaritaSchwinger operator-(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2);
+EvtComplex operator*(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2);
+
+class EvtRaritaSchwinger{
+
+ friend EvtRaritaSchwinger rotateEuler(const EvtRaritaSchwinger& rs,
+ double alpha,double beta,double gamma);
+ friend EvtRaritaSchwinger boostTo(const EvtRaritaSchwinger& rs,
+ const EvtVector4R p4);
+ friend EvtRaritaSchwinger boostTo(const EvtRaritaSchwinger& rs,
+ const EvtVector3R boost);
+
+ friend EvtRaritaSchwinger dirProd(EvtVector4R v,EvtDiracSpinor u);
+ friend EvtRaritaSchwinger dirProd(EvtVector4C v,EvtDiracSpinor u);
+
+ friend EvtRaritaSchwinger operator+(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2);
+ friend EvtRaritaSchwinger operator-(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2);
+
+ friend EvtComplex operator*(const EvtRaritaSchwinger& u1,
+ const EvtRaritaSchwinger& u2);
+
+public:
+
+ inline EvtRaritaSchwinger();
+ virtual ~EvtRaritaSchwinger();
+ inline EvtRaritaSchwinger(const EvtRaritaSchwinger& rs);
+ inline EvtRaritaSchwinger& operator=(const EvtRaritaSchwinger& rs);
+
+ void set(int i,int j,const EvtComplex& sp);
+
+ void applyRotateEuler(double alpha,double beta,double gamma);
+ void applyBoostTo(const EvtVector4R p4);
+ void applyBoostTo(const EvtVector3R boost);
+
+ EvtRaritaSchwinger& operator+=(const EvtRaritaSchwinger& u2);
+ EvtRaritaSchwinger& operator-=(const EvtRaritaSchwinger& u2);
+
+ EvtComplex get(int i,int j) const;
+ friend std::ostream& operator<<(std::ostream& s, const EvtRaritaSchwinger& rs);
+
+ EvtVector4C getVector(int i) const;
+ EvtDiracSpinor getSpinor(int i) const;
+
+ void setVector(int i,const EvtVector4C& v);
+ void setSpinor(int i,const EvtDiracSpinor& sp);
+
+
+
+private:
+
+ //First index in spinor index, second is Lorentz index.
+ EvtComplex _rs[4][4];
+
+};
+
+EvtRaritaSchwinger::EvtRaritaSchwinger(){
+
+ int i,j;
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _rs[i][j]=0.0;
+ }
+ }
+
+}
+
+EvtRaritaSchwinger::EvtRaritaSchwinger(const EvtRaritaSchwinger& rs){
+
+ int i,j;
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _rs[i][j]=rs._rs[i][j];
+ }
+ }
+
+}
+
+EvtRaritaSchwinger& EvtRaritaSchwinger::operator=(const EvtRaritaSchwinger& rs){
+
+ int i,j;
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ _rs[i][j]=rs._rs[i][j];
+ }
+ }
+
+ return *this;
+
+}
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtRaritaSchwingerParticle.cc
+//
+// Description: Class to describe spin 1/2 particles.
+//
+// Modification history:
+//
+// RYD August 9, 2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtRaritaSchwingerParticle.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+EvtRaritaSchwingerParticle::~EvtRaritaSchwingerParticle(){}
+
+
+EvtRaritaSchwingerParticle::EvtRaritaSchwingerParticle(){
+
+ return;
+
+}
+
+void EvtRaritaSchwingerParticle::init(EvtId id,const EvtVector4R& p4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(id);
+
+ if (EvtPDL::getStdHep(id)==0){
+ report(ERROR,"EvtGen") << "Error in EvtRaritaSchwingerParticle::init, part_n="
+ << id.getId()<<endl;
+ ::abort();
+ }
+
+
+
+ double sqmt2=sqrt(2.0*(this->getP4().mass()));
+
+ EvtDiracSpinor spplus;
+ EvtDiracSpinor spminus;
+
+ if (EvtPDL::getStdHep(getId())>0){
+ spplus.set(sqmt2,0.0,0.0,0.0);
+ spminus.set(0.0,sqmt2,0.0,0.0);
+ } else {
+ spplus.set(0.0,0.0,sqmt2,0.0);
+ spminus.set(0.0,0.0,0.0,sqmt2);
+ }
+
+ static EvtVector4C eplus(0.0,-1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ static EvtVector4C ezero(0.0,0.0,0.0,1.0);
+ static EvtVector4C eminus(0.0,1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ _spinorRest[0]=dirProd(eplus,spplus);
+ _spinorRest[1]=dirProd(sqrt(2.0/3.0)*ezero,spplus)+
+ dirProd(sqrt(1.0/3.0)*eplus,spminus);
+ _spinorRest[2]=dirProd(sqrt(2.0/3.0)*ezero,spminus)+
+ dirProd(sqrt(1.0/3.0)*eminus,spplus);
+ _spinorRest[3]=dirProd(eminus,spminus);
+
+ _spinor[0]=boostTo(_spinorRest[0],p4);
+ _spinor[1]=boostTo(_spinorRest[1],p4);
+ _spinor[2]=boostTo(_spinorRest[2],p4);
+ _spinor[3]=boostTo(_spinorRest[3],p4);
+
+
+ setLifetime();
+}
+
+
+void EvtRaritaSchwingerParticle::init(EvtId id,const EvtVector4R& p4,
+ const EvtRaritaSchwinger & prod1,
+ const EvtRaritaSchwinger & prod2,
+ const EvtRaritaSchwinger & prod3,
+ const EvtRaritaSchwinger & prod4,
+ const EvtRaritaSchwinger & rest1,
+ const EvtRaritaSchwinger & rest2,
+ const EvtRaritaSchwinger & rest3,
+ const EvtRaritaSchwinger & rest4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(id);
+
+ if (EvtPDL::getStdHep(id)==0){
+ report(ERROR,"EvtGen") << "Error in EvtRaritaSchwingerParticle::init, part_n="
+ << id.getId()<<std::endl;
+ ::abort();
+ }
+ _spinorRest[0]=rest1;
+ _spinorRest[1]=rest2;
+ _spinorRest[2]=rest3;
+ _spinorRest[3]=rest4;
+
+ _spinor[0]=prod1;
+ _spinor[1]=prod2;
+ _spinor[2]=prod3;
+ _spinor[3]=prod4;
+
+ setLifetime();
+}
+
+
+
+EvtRaritaSchwinger EvtRaritaSchwingerParticle::spRSParent(int i) const {
+
+ return _spinor[i];
+
+}
+
+EvtRaritaSchwinger EvtRaritaSchwingerParticle::spRS(int i) const {
+
+ return _spinorRest[i];
+
+}
+
+
+
+EvtSpinDensity EvtRaritaSchwingerParticle::rotateToHelicityBasis() const{
+
+ double sqmt2=sqrt(2.0*(this->getP4().mass()));
+
+ EvtDiracSpinor spplus;
+ EvtDiracSpinor spminus;
+
+ if (EvtPDL::getStdHep(getId())>0){
+ spplus.set(1.0,0.0,0.0,0.0);
+ spminus.set(0.0,1.0,0.0,0.0);
+ } else {
+ spplus.set(0.0,0.0,1.0,0.0);
+ spminus.set(0.0,0.0,0.0,1.0);
+ }
+
+ EvtVector4C eplus(0.0,-1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ EvtVector4C ezero(0.0,0.0,0.0,1.0);
+ EvtVector4C eminus(0.0,1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ EvtRaritaSchwinger sppp=dirProd(eplus,spplus);
+ EvtRaritaSchwinger spp=dirProd(sqrt(2.0/3.0)*ezero,spplus)+
+ dirProd(sqrt(1.0/3.0)*eplus,spminus);
+ EvtRaritaSchwinger spm=dirProd(sqrt(2.0/3.0)*ezero,spminus)+
+ dirProd(sqrt(1.0/3.0)*eminus,spplus);
+ EvtRaritaSchwinger spmm=dirProd(eminus,spminus);
+
+
+ EvtSpinDensity R;
+ R.setDim(4);
+
+
+ for ( int i=0; i<4; i++) {
+ R.set(0,i,(sppp*_spinorRest[i])/sqmt2);
+ R.set(1,i,(spp*_spinorRest[i])/sqmt2);
+ R.set(2,i,(spm*_spinorRest[i])/sqmt2);
+ R.set(3,i,(spmm*_spinorRest[i])/sqmt2);
+ }
+
+ return R;
+
+}
+
+
+EvtSpinDensity EvtRaritaSchwingerParticle::rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const{
+
+ EvtDiracSpinor spplus;
+ EvtDiracSpinor spminus;
+
+ if (EvtPDL::getStdHep(getId())>0){
+ spplus.set(1.0,0.0,0.0,0.0);
+ spminus.set(0.0,1.0,0.0,0.0);
+ } else {
+ spplus.set(0.0,0.0,1.0,0.0);
+ spminus.set(0.0,0.0,0.0,1.0);
+ }
+
+ EvtVector4C eplus(0.0,-1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ EvtVector4C ezero(0.0,0.0,0.0,1.0);
+ EvtVector4C eminus(0.0,1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ EvtRaritaSchwinger sppp=dirProd(eplus,spplus);
+ EvtRaritaSchwinger spp=dirProd(sqrt(2.0/3.0)*ezero,spplus)+
+ dirProd(sqrt(1.0/3.0)*eplus,spminus);
+ EvtRaritaSchwinger spm=dirProd(sqrt(2.0/3.0)*ezero,spminus)+
+ dirProd(sqrt(1.0/3.0)*eminus,spplus);
+ EvtRaritaSchwinger spmm=dirProd(eminus,spminus);
+
+
+ sppp.applyRotateEuler(alpha,beta,gamma);
+ spp.applyRotateEuler(alpha,beta,gamma);
+ spm.applyRotateEuler(alpha,beta,gamma);
+ spmm.applyRotateEuler(alpha,beta,gamma);
+
+ EvtSpinDensity R;
+ R.setDim(4);
+
+ double sqmt2=sqrt(2.0*(this->getP4().mass()));
+
+ for ( int i=0; i<4; i++) {
+ R.set(0,i,(sppp*_spinorRest[i])/sqmt2);
+ R.set(1,i,(spp*_spinorRest[i])/sqmt2);
+ R.set(2,i,(spm*_spinorRest[i])/sqmt2);
+ R.set(3,i,(spmm*_spinorRest[i])/sqmt2);
+ }
+
+ return R;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtRaritaSchwingerParticle.hh
+//
+// Description:Represents particles i.e. spin 3/2 particles.
+//
+// Modification history:
+//
+// RYD August 9, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRARITASCHWINGERPARTICLE_HH
+#define EVTRARITASCHWINGERPARTICLE_HH
+
+#include "EvtGenBase/EvtRaritaSchwinger.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtVector4R;
+
+class EvtRaritaSchwingerParticle:public EvtParticle {
+
+public:
+
+
+ EvtRaritaSchwingerParticle();
+ virtual ~EvtRaritaSchwingerParticle();
+ void init(EvtId id,const EvtVector4R& p4);
+ void init(EvtId id,const EvtVector4R& p4,
+ const EvtRaritaSchwinger &,const EvtRaritaSchwinger &,
+ const EvtRaritaSchwinger &,const EvtRaritaSchwinger &,
+ const EvtRaritaSchwinger &,const EvtRaritaSchwinger &,
+ const EvtRaritaSchwinger &,const EvtRaritaSchwinger &);
+ EvtRaritaSchwinger spRSParent(int) const;
+ EvtRaritaSchwinger spRS(int) const;
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+private:
+
+ EvtRaritaSchwinger _spinorRest[4];
+ EvtRaritaSchwinger _spinor[4];
+ EvtRaritaSchwingerParticle(const EvtRaritaSchwingerParticle& d);
+ EvtRaritaSchwingerParticle& operator=(const EvtRaritaSchwingerParticle& d);
+
+};
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtLineShape.cc
+//
+// Description: Store particle properties for one particle.
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+// Dvoretskii June 03, 2002 Reimplemented rollMass()
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPredGen.hh"
+
+#include "EvtGenBase/EvtRelBreitWignerBarrierFact.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtAmpPdf.hh"
+#include "EvtGenBase/EvtMassAmp.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtIntervalFlatPdf.hh"
+#include <algorithm>
+EvtRelBreitWignerBarrierFact::EvtRelBreitWignerBarrierFact() {
+
+}
+
+EvtRelBreitWignerBarrierFact::~EvtRelBreitWignerBarrierFact() {
+}
+
+EvtRelBreitWignerBarrierFact::EvtRelBreitWignerBarrierFact(double mass, double width, double maxRange, EvtSpinType::spintype sp) :
+ EvtAbsLineShape(mass,width,maxRange,sp)
+{ // double mDaug1, double mDaug2, int l) {
+
+ _includeDecayFact=true;
+ _includeBirthFact=true;
+ _mass=mass;
+ _width=width;
+ _spin=sp;
+ _blatt=3.0;
+ _maxRange=maxRange;
+ _errorCond=false;
+
+ double maxdelta = 15.0*width;
+
+ if ( maxRange > 0.00001 ) {
+ _massMax=mass+maxdelta;
+ _massMin=mass-maxRange;
+ }
+ else{
+ _massMax=mass+maxdelta;
+ _massMin=mass-15.0*width;
+ }
+
+ _massMax=mass+maxdelta;
+ if ( _massMin< 0. ) _massMin=0.;
+}
+
+EvtRelBreitWignerBarrierFact::EvtRelBreitWignerBarrierFact(const EvtRelBreitWignerBarrierFact& x) :
+ EvtAbsLineShape(x)
+{
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _blatt=x._blatt;
+ _maxRange=x._maxRange;
+ _includeDecayFact=x._includeDecayFact;
+ _includeBirthFact=x._includeBirthFact;
+ _errorCond=x._errorCond;
+
+}
+
+EvtRelBreitWignerBarrierFact& EvtRelBreitWignerBarrierFact::operator=(const EvtRelBreitWignerBarrierFact& x) {
+ _mass=x._mass;
+ _width=x._width;
+ _spin=x._spin;
+ _massMax=x._massMax;
+ _massMin=x._massMin;
+ _blatt=x._blatt;
+ _maxRange=x._maxRange;
+ _includeDecayFact=x._includeDecayFact;
+ _includeBirthFact=x._includeBirthFact;
+ _errorCond=x._errorCond;
+
+ return *this;
+}
+
+EvtAbsLineShape* EvtRelBreitWignerBarrierFact::clone() {
+
+ return new EvtRelBreitWignerBarrierFact(*this);
+}
+
+
+double EvtRelBreitWignerBarrierFact::getMassProb(double mass, double massPar,int nDaug, double *massDau) {
+
+ _errorCond=false;
+ //return EvtAbsLineShape::getMassProb(mass,massPar,nDaug,massDau);
+ if (nDaug!=2) return EvtAbsLineShape::getMassProb(mass,massPar,nDaug,massDau);
+
+ double dTotMass=0.;
+
+ int i;
+ for (i=0; i<nDaug; i++) {
+ dTotMass+=massDau[i];
+ }
+ //report(INFO,"EvtGen") << mass << " " << massPar << " " << dTotMass << " "<< endl;
+ // if ( (mass-dTotMass)<0.0001 ) return 0.;
+ //report(INFO,"EvtGen") << mass << " " << dTotMass << endl;
+ if ( (mass<dTotMass) ) return 0.;
+
+ if ( _width< 0.0001) return 1.;
+
+ if ( massPar>0.0000000001 ) {
+ if ( mass > massPar) return 0.;
+ }
+
+ if ( _errorCond ) return 0.;
+
+ // we did all the work in getRandMass
+ return 1.;
+}
+
+double EvtRelBreitWignerBarrierFact::getRandMass(EvtId *parId,int nDaug, EvtId *dauId, EvtId *othDaugId, double maxMass, double *dauMasses) {
+ if ( nDaug!=2) return EvtAbsLineShape::getRandMass(parId,nDaug,dauId,othDaugId,maxMass,dauMasses);
+
+ if ( _width< 0.00001) return _mass;
+
+ //first figure out L - take the lowest allowed.
+
+ EvtSpinType::spintype spinD1=EvtPDL::getSpinType(dauId[0]);
+ EvtSpinType::spintype spinD2=EvtPDL::getSpinType(dauId[1]);
+
+ int t1=EvtSpinType::getSpin2(spinD1);
+ int t2=EvtSpinType::getSpin2(spinD2);
+ int t3=EvtSpinType::getSpin2(_spin);
+
+ int Lmin=-10;
+
+
+ // the user has overridden the partial wave to use.
+ for (unsigned int vC=0; vC<_userSetPW.size(); vC++) {
+ if ( dauId[0]==_userSetPWD1[vC] && dauId[1]==_userSetPWD2[vC] ) {
+ Lmin=2*_userSetPW[vC];
+ }
+ if ( dauId[0]==_userSetPWD2[vC] && dauId[1]==_userSetPWD1[vC] ) {
+ Lmin=2*_userSetPW[vC];
+ }
+ }
+
+ // allow for special cases.
+ if (Lmin<-1 ) {
+
+ //There are some things I don't know how to deal with
+ if ( t3>4) return EvtAbsLineShape::getRandMass(parId,nDaug,dauId,othDaugId,maxMass,dauMasses);
+ if ( t1>4) return EvtAbsLineShape::getRandMass(parId,nDaug,dauId,othDaugId,maxMass,dauMasses);
+ if ( t2>4) return EvtAbsLineShape::getRandMass(parId,nDaug,dauId,othDaugId,maxMass,dauMasses);
+
+ //figure the min and max allowwed "spins" for the daughters state
+ Lmin=std::max(t3-t2-t1,std::max(t2-t3-t1,t1-t3-t2));
+ if (Lmin<0) Lmin=0;
+ assert(Lmin==0||Lmin==2||Lmin==4);
+ }
+
+ //double massD1=EvtPDL::getMeanMass(dauId[0]);
+ //double massD2=EvtPDL::getMeanMass(dauId[1]);
+ double massD1=dauMasses[0];
+ double massD2=dauMasses[1];
+
+ // I'm not sure how to define the vertex factor here - so retreat to nonRel code.
+ if ( (massD1+massD2)> _mass ) return EvtAbsLineShape::getRandMass(parId,nDaug,dauId,othDaugId,maxMass,dauMasses);
+
+ //parent vertex factor not yet implemented
+ double massOthD=-10.;
+ double massParent=-10.;
+ int birthl=-10;
+ if ( othDaugId) {
+ EvtSpinType::spintype spinOth=EvtPDL::getSpinType(*othDaugId);
+ EvtSpinType::spintype spinPar=EvtPDL::getSpinType(*parId);
+
+ int tt1=EvtSpinType::getSpin2(spinOth);
+ int tt2=EvtSpinType::getSpin2(spinPar);
+ int tt3=EvtSpinType::getSpin2(_spin);
+
+
+ //figure the min and max allowwed "spins" for the daughters state
+ if ( (tt1<=4) && ( tt2<=4) ) {
+ birthl=std::max(tt3-tt2-tt1,std::max(tt2-tt3-tt1,tt1-tt3-tt2));
+ if (birthl<0) birthl=0;
+
+ massOthD=EvtPDL::getMeanMass(*othDaugId);
+ massParent=EvtPDL::getMeanMass(*parId);
+
+ }
+
+ // allow user to override
+ for (size_t vC=0; vC<_userSetBirthPW.size(); vC++) {
+ if ( *othDaugId==_userSetBirthOthD[vC] && *parId==_userSetBirthPar[vC]){
+ birthl=2*_userSetBirthPW[vC];
+ }
+ }
+
+ }
+ double massM=_massMax;
+ if ( (maxMass > -0.5) && (maxMass < massM) ) massM=maxMass;
+
+ //special case... if the parent mass is _fixed_ we can do a little better
+ //and only for a two body decay as that seems to be where we have problems
+
+ // Define relativistic propagator amplitude
+
+ EvtTwoBodyVertex vd(massD1,massD2,_mass,Lmin/2);
+ vd.set_f(_blatt);
+ EvtPropBreitWignerRel bw(_mass,_width);
+ EvtMassAmp amp(bw,vd);
+
+ if ( _includeDecayFact) {
+ amp.addDeathFact();
+ amp.addDeathFactFF();
+ }
+ if ( massParent>-1.) {
+ if ( _includeBirthFact ) {
+
+ EvtTwoBodyVertex vb(_mass,massOthD,massParent,birthl/2);
+ //whoops 060116
+ //needed to actually tell the vertex about the form factor!
+ //otherwise its just 1
+ if ( _applyFixForSP8 ) vb.set_f(_blatt);
+ amp.setBirthVtx(vb);
+ amp.addBirthFact();
+ amp.addBirthFactFF();
+ }
+ }
+
+
+ EvtAmpPdf<EvtPoint1D> pdf(amp);
+
+ // Estimate maximum and create predicate for accept reject
+
+
+ double tempMaxLoc=_mass;
+ if ( maxMass>-0.5 && maxMass<_mass) tempMaxLoc=maxMass;
+ double tempMax=_massMax;
+ if ( maxMass>-0.5 && maxMass<_massMax) tempMax=maxMass;
+ double tempMinMass=_massMin;
+ if ( massD1+massD2 > _massMin) tempMinMass=massD1+massD2;
+
+ //redo sanity check - is there a solution to our problem.
+ //if not return an error condition that is caught by the
+ //mass prob calculation above.
+ if ( tempMinMass > tempMax ) {
+ _errorCond=true;
+ return tempMinMass;
+ }
+
+ if ( tempMaxLoc < tempMinMass) tempMaxLoc=tempMinMass;
+
+ double safetyFactor=1.2;
+ if ( _applyFixForSP8 ) safetyFactor=1.4;
+
+ EvtPdfMax<EvtPoint1D> max(safetyFactor*pdf.evaluate(EvtPoint1D(tempMinMass,tempMax,tempMaxLoc)));
+
+ EvtPdfPred<EvtPoint1D> pred(pdf);
+ pred.setMax(max);
+
+ EvtIntervalFlatPdf flat(tempMinMass,tempMax);
+ EvtPdfGen<EvtPoint1D> gen(flat);
+ EvtPredGen<EvtPdfGen<EvtPoint1D>,EvtPdfPred<EvtPoint1D> > predgen(gen,pred);
+
+ EvtPoint1D point = predgen();
+ return point.value();
+
+}
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtAbsLineShape.hh
+//
+// Description: Class to keep the particle properties for
+// one particle
+//
+// Modification history:
+//
+// Lange March 10, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRELBREITWIGNERBARRIERFACT_HH
+#define EVTRELBREITWIGNERBARRIERFACT_HH
+
+#include "EvtGenBase/EvtAbsLineShape.hh"
+
+class EvtRelBreitWignerBarrierFact :public EvtAbsLineShape {
+
+public:
+
+ EvtRelBreitWignerBarrierFact();
+ EvtRelBreitWignerBarrierFact(double mass, double width, double maxRange, EvtSpinType::spintype sp);
+ //figure the m1 and l on the fly
+ // double mDaug1, double mDaug2, int l);
+ ~EvtRelBreitWignerBarrierFact();
+ EvtRelBreitWignerBarrierFact& operator=(const EvtRelBreitWignerBarrierFact& x);
+ EvtRelBreitWignerBarrierFact(const EvtRelBreitWignerBarrierFact& x);
+
+ EvtAbsLineShape* clone();
+
+ double getMassProb(double mass, double massPar, int nDaug, double *massDau);
+ // othDaugId is the other daughter of the parent in the case of a two body decay (only!)
+ // ie B->rho K rho->pipi, othDaugId = K
+ double getRandMass(EvtId *parId, int nDaug, EvtId *dauId, EvtId *othDaugId, double maxMass, double *dauMasses);
+
+ virtual void reSetBlatt(double blatt) { _blatt = blatt; }
+
+protected:
+
+ double _blatt;
+ bool _errorCond;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtReport.cc
+//
+// Description: definitions of global functions.
+//
+// Modification history:
+//
+// Simon Patton June 3, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtReport.hh"
+using std::cerr;
+using std::cout;
+using std::endl;
+using std::ostream;
+
+
+//
+// constants, enums and typedefs
+//
+
+
+ostream& report( Severity severity ,
+ const char* facility )
+{
+ int printNoFacility=1;
+
+ if ( ( facility == 0 ) &&
+ ( printNoFacility ==1) ) {
+ cout << "There is no `facility' implemented in `report'"
+ << endl ;
+ printNoFacility = 0 ;
+ }
+ if ( severity < WARNING ) {
+ if (facility[0]!=0){
+ cerr<<facility<<":";
+ }
+ return ( cerr ) ;
+ }
+ if (facility[0]!=0){
+ cout<<facility<<":";
+ }
+ return cout;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtReport.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Author: Simon Patton
+// Created: Mon Jun 3 12:45:03 EDT 1996
+//
+//------------------------------------------------------------------------
+
+#if !defined(TOOLBOX_FUNCTIONS_HH)
+#define TOOLBOX_FUNCTIONS_HH
+
+#if !defined(FILENAME_ONLY) /* relative path includes */
+
+// system include files
+#include <iostream>
+
+// user include files
+
+#else /* filename-only includes */
+#include <iostream>
+#include <types.h>
+#endif /* filename-only includes */
+// system include files
+
+// user include files
+
+// forward declarations
+
+//
+// constants, enums and typedefs
+//
+enum Severity {
+ EMERGENCY, // fatal
+ ALERT, // requires immediate action
+ CRITICAL, // serious
+ ERROR,
+ WARNING,
+ NOTICE, // "normal but significant"
+ INFO, // informational
+ DEBUG // debug
+};
+
+// function declaration
+std::ostream& report( Severity severity ,
+ const char* facility = 0 ) ;
+
+// inline function definitions
+
+#endif /* TOOLBOX_FUNCTIONS_HH */
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtResonance.cc
+//
+// Description: resonance-defining class
+//
+// Modification history:
+//
+// NK September 4, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <math.h>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtResonance.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtConst.hh"
+using std::endl;
+
+EvtResonance::~EvtResonance(){}
+
+
+EvtResonance& EvtResonance::operator = ( const EvtResonance &n)
+{
+ if ( &n == this ) return *this;
+ _p4_p = n._p4_p;
+ _p4_d1 = n._p4_d1;
+ _p4_d2 = n._p4_d2;
+ _ampl = n._ampl;
+ _theta = n._theta;
+ _gamma = n._gamma;
+ _spin = n._spin;
+ _bwm = n._bwm;
+ return *this;
+}
+
+
+EvtResonance::EvtResonance(const EvtVector4R& p4_p, const EvtVector4R& p4_d1,
+ const EvtVector4R& p4_d2, double ampl,
+ double theta, double gamma, double bwm, int spin):
+ _p4_p(p4_p),_p4_d1(p4_d1), _p4_d2(p4_d2),_ampl(ampl), _theta(theta),
+ _gamma(gamma), _bwm(bwm), _spin(spin) {}
+
+EvtComplex EvtResonance::resAmpl() {
+
+ double pi180inv = 1.0/EvtConst::radToDegrees;
+
+ EvtComplex ampl;
+ //EvtVector4R _p4_d3 = _p4_p-_p4_d1-_p4_d2;
+
+ //get cos of the angle between the daughters from their 4-momenta
+ //and the 4-momentum of the parent
+
+ //in general, EvtDecayAngle(parent, part1+part2, part1) gives the angle
+ //the missing particle (not listed in the arguments) makes
+ //with part2 in the rest frame of both
+ //listed particles (12)
+
+ //angle 3 makes with 2 in rest frame of 12 (CS3)
+ double cos_phi_0 = EvtDecayAngle(_p4_p, _p4_d1+_p4_d2, _p4_d1);
+ //angle 3 makes with 1 in 12 is, of course, -cos_phi_0
+
+ switch (_spin) {
+
+ case 0 :
+ ampl=(_ampl*EvtComplex(cos(_theta*pi180inv),sin(_theta*pi180inv))*
+ sqrt(_gamma/EvtConst::twoPi)*
+ (1.0/((_p4_d1+_p4_d2).mass()-_bwm-EvtComplex(0.0,0.5*_gamma))));
+ break;
+
+ case 1 :
+ ampl=(_ampl*EvtComplex(cos(_theta*pi180inv),sin(_theta*pi180inv))*
+ sqrt(_gamma/EvtConst::twoPi)*
+ (cos_phi_0/((_p4_d1+_p4_d2).mass()-_bwm-EvtComplex(0.0,0.5*_gamma))));
+ break;
+
+ case 2:
+ ampl=(_ampl*EvtComplex(cos(_theta*pi180inv),sin(_theta*pi180inv))*
+ sqrt(_gamma/EvtConst::twoPi)*
+ ((1.5*cos_phi_0*cos_phi_0-0.5)/((_p4_d1+_p4_d2).mass()-_bwm-EvtComplex(0.0, 0.5*_gamma))));
+ break;
+
+ case 3:
+ ampl=(_ampl*EvtComplex(cos(_theta*pi180inv),sin(_theta*pi180inv))*
+ sqrt(_gamma/EvtConst::twoPi)*
+ ((2.5*cos_phi_0*cos_phi_0*cos_phi_0-1.5*cos_phi_0)/((_p4_d1+_p4_d2).mass()-_bwm-EvtComplex(0.0, 0.5*_gamma))));
+ break;
+
+ default:
+ report(DEBUG,"EvtGen") << "EvtGen: wrong spin in EvtResonance" << endl;
+ ampl = EvtComplex(0.0);
+ break;
+
+ }
+
+ return ampl;
+}
+
+EvtComplex EvtResonance::relBrWig(int i) {
+
+//this function returns relativistic Breit-Wigner amplitude
+//for a given resonance (for P-wave decays of scalars only at the moment!)
+
+ EvtComplex BW;
+ EvtVector4R _p4_d3 = _p4_p-_p4_d1-_p4_d2;
+ EvtVector4R _p4_12 = _p4_d1 + _p4_d2;
+
+ double msq13 = (_p4_d1 + _p4_d3).mass2();
+ double msq23 = (_p4_d2 + _p4_d3).mass2();
+ double msqParent = _p4_p.mass2();
+ double msq1 = _p4_d1.mass2();
+ double msq2 = _p4_d2.mass2();
+ double msq3 = _p4_d3.mass2();
+
+ double M;
+
+ double p2 = sqrt((_p4_12.mass2() - (_p4_d1.mass() + _p4_d2.mass())*(_p4_d1.mass() + _p4_d2.mass()))*(_p4_12.mass2() - (_p4_d1.mass() - _p4_d2.mass())*(_p4_d1.mass() - _p4_d2.mass())))/(2.0*_p4_12.mass());
+
+ double p2R = sqrt((_bwm*_bwm - (_p4_d1.mass() + _p4_d2.mass())*(_p4_d1.mass() + _p4_d2.mass()))*(_bwm*_bwm - (_p4_d1.mass() - _p4_d2.mass())*(_p4_d1.mass() - _p4_d2.mass())))/(2.0*_bwm);
+
+ double gam, R;
+
+ if (i == 1) {
+
+ R = 2.0/(0.197);
+
+ }
+ else R = 5.0/(0.197);
+
+ gam = _gamma*(_bwm/_p4_12.mass())*(p2/p2R)*(p2/p2R)*(p2/p2R)*((1 + R*R*p2R*p2R)/(1 + R*R*p2*p2));
+ M = (msq13 - msq23 - (msqParent - msq3)*(msq1 - msq2)/(_bwm*_bwm))*sqrt((1 + R*R*p2R*p2R)/(1 + R*R*p2*p2));
+
+ BW = sqrt(_gamma)*M/((_bwm*_bwm - _p4_12.mass2()) - EvtComplex(0.0,1.0)*gam*_bwm);
+
+ return BW;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtResonance.hh
+//
+// Description:resonance-defining class
+//
+// Modification history:
+//
+// NK September 4, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRESONANCE_HH
+#define EVTRESONANCE_HH
+
+#include "EvtGenBase/EvtVector4R.hh"
+
+class EvtComplex;
+
+
+
+class EvtResonance {
+public:
+
+ EvtResonance& operator = (const EvtResonance &);
+
+ //constructor with all information about the resonance
+ EvtResonance(const EvtVector4R& p4_p, const EvtVector4R& p4_d1,
+ const EvtVector4R& p4_d2,
+ double ampl = 0.0, double theta = 0.0, double gamma = 0.0,
+ double bwm = 0.0, int spin = 0);
+
+ //destructor
+ virtual ~EvtResonance();
+
+ //accessors
+ //return 4-momenta of the particles involved
+ inline const EvtVector4R& p4_p() { return _p4_p; }
+ inline const EvtVector4R& p4_d1() { return _p4_d1; }
+ inline const EvtVector4R& p4_d2() { return _p4_d2; }
+
+
+ //return amplitude
+ inline double amplitude() { return _ampl; }
+
+ //return theta
+ inline double theta() { return _theta; }
+
+ //return gamma
+ inline double gamma() { return _gamma; }
+
+ //return bwm
+ inline double bwm() { return _bwm; }
+
+ //return spin
+ inline int spin() { return _spin; }
+
+ //calculate amplitude for this resonance
+ EvtComplex resAmpl();
+
+ //calculate relativistic Breit-Wigner amplitude for P-decays of scalars
+ EvtComplex relBrWig(int i);
+
+private:
+
+ EvtVector4R _p4_p, _p4_d1, _p4_d2;
+ double _ampl, _theta, _gamma, _bwm;
+ int _spin;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtResonance2.cc
+//
+// Description: resonance-defining class
+//
+// Modification history:
+//
+// NK September 4, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <math.h>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtResonance2.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtConst.hh"
+
+EvtResonance2::~EvtResonance2(){}
+
+EvtResonance2& EvtResonance2::operator = ( const EvtResonance2 &n)
+{
+ if ( &n == this ) return *this;
+ _p4_p = n._p4_p;
+ _p4_d1 = n._p4_d1;
+ _p4_d2 = n._p4_d2;
+ _ampl = n._ampl;
+ _theta = n._theta;
+ _gamma = n._gamma;
+ _spin = n._spin;
+ _bwm = n._bwm;
+ _invmass_angdenom = n._invmass_angdenom;
+ return *this;
+}
+
+
+EvtResonance2::EvtResonance2(const EvtVector4R& p4_p, const EvtVector4R& p4_d1,
+ const EvtVector4R& p4_d2, double ampl,
+ double theta, double gamma, double bwm, int spin,
+ bool invmass_angdenom):
+ _p4_p(p4_p),_p4_d1(p4_d1), _p4_d2(p4_d2),_ampl(ampl), _theta(theta),
+ _gamma(gamma), _bwm(bwm), _spin(spin), _invmass_angdenom(invmass_angdenom) {}
+
+
+EvtComplex EvtResonance2::resAmpl() {
+
+ double pi180inv = 1.0/EvtConst::radToDegrees;
+
+ EvtComplex ampl;
+ EvtVector4R p4_d3 = _p4_p-_p4_d1-_p4_d2;
+
+ //get cos of the angle between the daughters from their 4-momenta
+ //and the 4-momentum of the parent
+
+ //in general, EvtDecayAngle(parent, part1+part2, part1) gives the angle
+ //the missing particle (not listed in the arguments) makes
+ //with part2 in the rest frame of both
+ //listed particles (12)
+
+ //angle 3 makes with 2 in rest frame of 12 (CS3)
+ //double cos_phi_0 = EvtDecayAngle(_p4_p, _p4_d1+_p4_d2, _p4_d1);
+ //angle 3 makes with 1 in 12 is, of course, -cos_phi_0
+
+ //first compute several quantities...follow CLEO preprint 00-23
+
+ double mAB=(_p4_d1+_p4_d2).mass();
+ double mBC=(_p4_d2+p4_d3).mass();
+ double mAC=(_p4_d1+p4_d3).mass();
+ double mA=_p4_d1.mass();
+ double mB=_p4_d2.mass();
+ double mD=_p4_p.mass();
+ double mC=p4_d3.mass();
+
+ double mR=_bwm;
+ double gammaR=_gamma;
+ double mdenom = _invmass_angdenom ? mAB : mR;
+ double pAB=sqrt( (((mAB*mAB-mA*mA-mB*mB)*(mAB*mAB-mA*mA-mB*mB)/4.0) -
+ mA*mA*mB*mB)/(mAB*mAB));
+ double pR=sqrt( (((mR*mR-mA*mA-mB*mB)*(mR*mR-mA*mA-mB*mB)/4.0) -
+ mA*mA*mB*mB)/(mR*mR));
+
+ double pD= (((mD*mD-mR*mR-mC*mC)*(mD*mD-mR*mR-mC*mC)/4.0) -
+ mR*mR*mC*mC)/(mD*mD);
+ if ( pD>0 ) { pD=sqrt(pD); } else {pD=0;}
+ double pDAB=sqrt( (((mD*mD-mAB*mAB-mC*mC)*(mD*mD-mAB*mAB-mC*mC)/4.0) -
+ mAB*mAB*mC*mC)/(mD*mD));
+
+
+
+ double fR=1;
+ double fD=1;
+ int power=0;
+ switch (_spin) {
+ case 0:
+ fR=1.0;
+ fD=1.0;
+ power=1;
+ break;
+ case 1:
+ fR=sqrt(1.0+1.5*1.5*pR*pR)/sqrt(1.0+1.5*1.5*pAB*pAB);
+ fD=sqrt(1.0+5.0*5.0*pD*pD)/sqrt(1.0+5.0*5.0*pDAB*pDAB);
+ power=3;
+ break;
+ case 2:
+ fR = sqrt( (9+3*pow((1.5*pR),2)+pow((1.5*pR),4))/(9+3*pow((1.5*pAB),2)+pow((1.5*pAB),4)) );
+ fD = sqrt( (9+3*pow((5.0*pD),2)+pow((5.0*pD),4))/(9+3*pow((5.0*pDAB),2)+pow((5.0*pDAB),4)) );
+ power=5;
+ break;
+ default:
+ report(INFO,"EvtGen") << "Incorrect spin in EvtResonance22.cc\n";
+ }
+
+ double gammaAB= gammaR*pow(pAB/pR,power)*(mR/mAB)*fR*fR;
+ switch (_spin) {
+ case 0:
+ ampl=_ampl*EvtComplex(cos(_theta*pi180inv),sin(_theta*pi180inv))*
+ fR*fD/(mR*mR-mAB*mAB-EvtComplex(0.0,mR*gammaAB));
+ break;
+ case 1:
+ ampl=_ampl*EvtComplex(cos(_theta*pi180inv),sin(_theta*pi180inv))*
+ (fR*fD*(mAC*mAC-mBC*mBC+((mD*mD-mC*mC)*(mB*mB-mA*mA)/(mdenom*mdenom)))/
+ (mR*mR-mAB*mAB-EvtComplex(0.0,mR*gammaAB)));
+ break;
+ case 2:
+ ampl=_ampl*EvtComplex(cos(_theta*pi180inv),sin(_theta*pi180inv))*
+ fR*fD/(mR*mR-mAB*mAB-EvtComplex(0.0,mR*gammaAB))*
+ (pow((mBC*mBC-mAC*mAC+(mD*mD-mC*mC)*(mA*mA-mB*mB)/(mdenom*mdenom)),2)-
+ (1.0/3.0)*(mAB*mAB-2*mD*mD-2*mC*mC+pow((mD*mD- mC*mC)/mdenom, 2))*
+ (mAB*mAB-2*mA*mA-2*mB*mB+pow((mA*mA-mB*mB)/mdenom,2)));
+ break;
+
+ default:
+ report(INFO,"EvtGen") << "Incorrect spin in EvtResonance22.cc\n";
+ }
+
+ return ampl;
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtResonance2.hh
+//
+// Description:resonance-defining class
+//
+// Modification history:
+//
+// lange Nov 21, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTRESONANCE2_HH
+#define EVTRESONANCE2_HH
+
+#include "EvtGenBase/EvtVector4R.hh"
+
+class EvtComplex;
+
+
+
+class EvtResonance2 {
+public:
+
+ //operator
+ EvtResonance2& operator = (const EvtResonance2 &);
+
+ //constructor with all information about the resonance
+ // invmass_angdenom chooses whether to use the resonance mass (false)
+ // or the daughter invariant mass (true) for the denominators in
+ // angular distributions
+
+ EvtResonance2(const EvtVector4R& p4_p, const EvtVector4R& p4_d1,
+ const EvtVector4R& p4_d2,
+ double ampl = 0.0, double theta = 0.0, double gamma = 0.0,
+ double bwm = 0.0, int spin = 0, bool invmass_angdenom = false);
+
+ //destructor
+ virtual ~EvtResonance2();
+
+ //accessors
+ //return 4-momenta of the particles involved
+ inline const EvtVector4R& p4_p() { return _p4_p; }
+ inline const EvtVector4R& p4_d1() { return _p4_d1; }
+ inline const EvtVector4R& p4_d2() { return _p4_d2; }
+
+
+ //return amplitude
+ inline double amplitude() { return _ampl; }
+
+ //return theta
+ inline double theta() { return _theta; }
+
+ //return gamma
+ inline double gamma() { return _gamma; }
+
+ //return bwm
+ inline double bwm() { return _bwm; }
+
+ //return spin
+ inline int spin() { return _spin; }
+
+ //calculate amplitude for this resonance
+ EvtComplex resAmpl();
+
+ private:
+
+ EvtVector4R _p4_p, _p4_d1, _p4_d2;
+ double _ampl, _theta, _gamma, _bwm;
+ int _spin;
+ bool _invmass_angdenom;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtScalarParticle.cc
+//
+// Description: Class to describe scalar particles
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+
+
+void EvtScalarParticle::init(EvtId part_n,double e,double px,double py,double pz){
+
+ _validP4=true;
+ setp(e,px,py,pz);
+ setpart_num(part_n);
+
+ setLifetime();
+
+}
+
+EvtScalarParticle::~EvtScalarParticle() {}
+
+
+void EvtScalarParticle::init(EvtId part_n,const EvtVector4R& p4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(part_n);
+
+ setLifetime();
+
+}
+
+EvtSpinDensity EvtScalarParticle::rotateToHelicityBasis() const{
+
+ EvtSpinDensity R;
+ R.setDim(1);
+
+ R.set(0,0,1.0);
+
+ return R;
+
+}
+
+
+EvtSpinDensity EvtScalarParticle::rotateToHelicityBasis(double,
+ double,
+ double) const{
+
+ EvtSpinDensity R;
+ R.setDim(1);
+
+ R.set(0,0,1.0);
+
+ return R;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtScalarParticle.hh
+//
+// Description:Class to describe all spin 0 particles.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSCALARPARTICLE_HH
+#define EVTSCALARPARTICLE_HH
+
+#include "EvtGenBase/EvtParticle.hh"
+class EvtId;
+
+
+class EvtScalarParticle: public EvtParticle {
+
+public:
+
+ EvtScalarParticle() {}
+ virtual ~EvtScalarParticle();
+
+ void init(EvtId part_n,double e,double px,double py,double pz);
+ void init(EvtId part_n,const EvtVector4R& p);
+
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+private:
+
+ EvtScalarParticle(const EvtScalarParticle& scalar);
+ EvtScalarParticle& operator=(const EvtScalarParticle& scalar);
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSecondary.cc
+//
+// Description: Class to store the decays of the secondary particles.
+//
+// Modification history:
+//
+// RYD March 12, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtSecondary.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+using std::ostream;
+
+
+void EvtSecondary::init(){
+ _npart=0;
+}
+
+int EvtSecondary::getNPart(){
+ return _npart;
+}
+
+void EvtSecondary::createSecondary(int stdhepindex,EvtParticle* prnt){
+
+ _stdhepindex[_npart]=stdhepindex;
+ if (prnt->getNDaug()==0){
+ _id1[_npart]=0;
+ _id2[_npart]=0;
+ _id3[_npart]=0;
+ _npart++;
+ return;
+ }
+ if (prnt->getNDaug()==1){
+ _id1[_npart]=EvtPDL::getStdHep(prnt->getDaug(0)->getId());
+ _id2[_npart]=0;
+ _id3[_npart]=0;
+ _npart++;
+ return;
+ }
+ if (prnt->getNDaug()==2){
+ _id1[_npart]=EvtPDL::getStdHep(prnt->getDaug(0)->getId());
+ _id2[_npart]=EvtPDL::getStdHep(prnt->getDaug(1)->getId());
+ _id3[_npart]=0;
+ _npart++;
+ return;
+ }
+ if (prnt->getNDaug()==3){
+ _id1[_npart]=EvtPDL::getStdHep(prnt->getDaug(0)->getId());
+ _id2[_npart]=EvtPDL::getStdHep(prnt->getDaug(1)->getId());
+ _id3[_npart]=EvtPDL::getStdHep(prnt->getDaug(2)->getId());
+ _npart++;
+ return;
+ }
+
+ report(ERROR,"EvtGen") <<
+ "More than 3 decay products in a secondary particle!"<<endl;
+
+
+}
+
+
+ostream& operator<<(ostream& s, const EvtSecondary& secondary){
+
+ s <<endl;
+ s << "Secondary decays:"<<endl;
+
+ int i;
+ for(i=0;i<secondary._npart;i++){
+
+ report(INFO,"EvtGen") <<i<<" "
+ <<secondary._stdhepindex[i]<<" "
+ <<secondary._id1[i]<<" "
+ <<secondary._id2[i]<<" "
+ <<secondary._id3[i]<<endl;
+
+ }
+
+ s<<endl;
+
+ return s;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSecondary.hh
+//
+// Description:Class store decays of secondary particles
+//
+// Modification history:
+//
+// RYD March. 12, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSECONDARY_HH
+#define EVTSECONDARY_HH
+
+
+const int EVTSECONDARYLENGTH =100;
+
+class EvtParticle;
+#include <iosfwd>
+
+class EvtSecondary {
+
+public:
+
+ EvtSecondary(){}
+ ~EvtSecondary(){}
+
+ void init();
+
+ int getStdHepIndex(int i) {return _stdhepindex[i];}
+ int getD1(int i) {return _id1[i];}
+ int getD2(int i) {return _id2[i];}
+ int getD3(int i) {return _id3[i];}
+
+ int getNPart();
+ void createSecondary(int stdhepindex,EvtParticle* prnt);
+
+ friend std::ostream& operator<<(std::ostream& s, const EvtSecondary& secondary);
+
+private:
+
+ int _npart;
+ int _stdhepindex[EVTSECONDARYLENGTH];
+ int _id1[EVTSECONDARYLENGTH];
+ int _id2[EVTSECONDARYLENGTH];
+ int _id3[EVTSECONDARYLENGTH];
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSemiLeptonicAmp.cc
+//
+// Description: Base class for semileptonic decays
+//
+// Modification history:
+//
+// DJL April 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtTensorParticle.hh"
+
+double EvtSemiLeptonicAmp::CalcMaxProb( EvtId parent, EvtId meson,
+ EvtId lepton, EvtId nudaug,
+ EvtSemiLeptonicFF *FormFactors ) {
+
+ //This routine takes the arguements parent, meson, and lepton
+ //number, and a form factor model, and returns a maximum
+ //probability for this semileptonic form factor model. A
+ //brute force method is used. The 2D cos theta lepton and
+ //q2 phase space is probed.
+
+ //Start by declaring a particle at rest.
+
+ //It only makes sense to have a scalar parent. For now.
+ //This should be generalized later.
+
+ EvtScalarParticle *scalar_part;
+ EvtParticle *root_part;
+
+ scalar_part=new EvtScalarParticle;
+
+ //cludge to avoid generating random numbers!
+ scalar_part->noLifeTime();
+
+ EvtVector4R p_init;
+
+ p_init.set(EvtPDL::getMass(parent),0.0,0.0,0.0);
+ scalar_part->init(parent,p_init);
+ root_part=(EvtParticle *)scalar_part;
+ root_part->setDiagonalSpinDensity();
+
+ EvtParticle *daughter, *lep, *trino;
+
+ EvtAmp amp;
+
+ EvtId listdaug[3];
+ listdaug[0] = meson;
+ listdaug[1] = lepton;
+ listdaug[2] = nudaug;
+
+ amp.init(parent,3,listdaug);
+
+ root_part->makeDaughters(3,listdaug);
+ daughter=root_part->getDaug(0);
+ lep=root_part->getDaug(1);
+ trino=root_part->getDaug(2);
+
+ //cludge to avoid generating random numbers!
+ daughter->noLifeTime();
+ lep->noLifeTime();
+ trino->noLifeTime();
+
+
+ //Initial particle is unpolarized, well it is a scalar so it is
+ //trivial
+ EvtSpinDensity rho;
+ rho.setDiag(root_part->getSpinStates());
+
+ double mass[3];
+
+ double m = root_part->mass();
+
+ EvtVector4R p4meson, p4lepton, p4nu, p4w;
+ double q2max;
+
+ double q2, elepton, plepton;
+ int i,j;
+ double erho,prho,costl;
+
+ double maxfoundprob = 0.0;
+ double prob = -10.0;
+ int massiter;
+
+ for (massiter=0;massiter<3;massiter++){
+
+ mass[0] = EvtPDL::getMeanMass(meson);
+ mass[1] = EvtPDL::getMeanMass(lepton);
+ mass[2] = EvtPDL::getMeanMass(nudaug);
+ if ( massiter==1 ) {
+ mass[0] = EvtPDL::getMinMass(meson);
+ }
+ if ( massiter==2 ) {
+ mass[0] = EvtPDL::getMaxMass(meson);
+ if ( (mass[0]+mass[1]+mass[2])>m) mass[0]=m-mass[1]-mass[2]-0.00001;
+ }
+
+ q2max = (m-mass[0])*(m-mass[0]);
+
+ //loop over q2
+
+ for (i=0;i<25;i++) {
+ q2 = ((i+0.5)*q2max)/25.0;
+
+ erho = ( m*m + mass[0]*mass[0] - q2 )/(2.0*m);
+
+ prho = sqrt(erho*erho-mass[0]*mass[0]);
+
+ p4meson.set(erho,0.0,0.0,-1.0*prho);
+ p4w.set(m-erho,0.0,0.0,prho);
+
+ //This is in the W rest frame
+ elepton = (q2+mass[1]*mass[1])/(2.0*sqrt(q2));
+ plepton = sqrt(elepton*elepton-mass[1]*mass[1]);
+
+ double probctl[3];
+
+ for (j=0;j<3;j++) {
+
+ costl = 0.99*(j - 1.0);
+
+ //These are in the W rest frame. Need to boost out into
+ //the B frame.
+ p4lepton.set(elepton,0.0,
+ plepton*sqrt(1.0-costl*costl),plepton*costl);
+ p4nu.set(plepton,0.0,
+ -1.0*plepton*sqrt(1.0-costl*costl),-1.0*plepton*costl);
+
+ EvtVector4R boost((m-erho),0.0,0.0,1.0*prho);
+ p4lepton=boostTo(p4lepton,boost);
+ p4nu=boostTo(p4nu,boost);
+
+ //Now initialize the daughters...
+
+ daughter->init(meson,p4meson);
+ lep->init(lepton,p4lepton);
+ trino->init(nudaug,p4nu);
+
+ CalcAmp(root_part,amp,FormFactors);
+
+ //Now find the probability at this q2 and cos theta lepton point
+ //and compare to maxfoundprob.
+
+ //Do a little magic to get the probability!!
+ prob = rho.normalizedProb(amp.getSpinDensity());
+
+ probctl[j]=prob;
+ }
+
+ //probclt contains prob at ctl=-1,0,1.
+ //prob=a+b*ctl+c*ctl^2
+
+ double a=probctl[1];
+ double b=0.5*(probctl[2]-probctl[0]);
+ double c=0.5*(probctl[2]+probctl[0])-probctl[1];
+
+ prob=probctl[0];
+ if (probctl[1]>prob) prob=probctl[1];
+ if (probctl[2]>prob) prob=probctl[2];
+
+ if (fabs(c)>1e-20){
+ double ctlx=-0.5*b/c;
+ if (fabs(ctlx)<1.0){
+ double probtmp=a+b*ctlx+c*ctlx*ctlx;
+ if (probtmp>prob) prob=probtmp;
+ }
+
+ }
+
+ if ( prob > maxfoundprob ) {
+ maxfoundprob = prob;
+ }
+
+ }
+ if ( EvtPDL::getWidth(meson) <= 0.0 ) {
+ //if the particle is narrow dont bother with changing the mass.
+ massiter = 4;
+ }
+
+ }
+ root_part->deleteTree();
+
+ maxfoundprob *=1.1;
+ return maxfoundprob;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSemiLeptonicAmp.hh
+//
+// Description:Store decay parameters for one decay.
+//
+// Modification history:
+//
+// RYD September 30 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSEMILEPTONICAMP_HH
+#define EVTSEMILEPTONICAMP_HH
+
+class EvtAmp;
+class EvtParticle;
+class EvtSemiLeptonicFF;
+class EvtId;
+
+class EvtSemiLeptonicAmp{
+
+ public:
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+
+ virtual void CalcAmp( EvtParticle *parent, EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors ) = 0;
+
+ double CalcMaxProb( EvtId parent, EvtId meson, EvtId lepton,
+ EvtId nudaug, EvtSemiLeptonicFF *FormFactors );
+
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSemiLeptonicBaryonAmp.cc
+//
+// Description: Routine to implement semileptonic decays to vector
+// mesons.
+//
+// Modification history:
+//
+// Lange Oct 20, 2004 Module created.
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtSemiLeptonicBaryonAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+using std::endl;
+
+void EvtSemiLeptonicBaryonAmp::CalcAmp( EvtParticle *parent,
+ EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors ) {
+
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+
+ //Add the lepton and neutrino 4 momenta to find q2
+
+ EvtVector4R q = parent->getDaug(1)->getP4()
+ + parent->getDaug(2)->getP4();
+ double q2 = (q.mass2());
+
+ double f1v,f1a,f2v,f2a;
+ double m_meson = parent->getDaug(0)->mass();
+
+ FormFactors->getbaryonff(parent->getId(),
+ parent->getDaug(0)->getId(),
+ q2,
+ m_meson,
+ &f1v,
+ &f1a,
+ &f2v,
+ &f2a);
+
+ EvtVector4R p4b;
+ p4b.set(parent->mass(),0.0,0.0,0.0);
+
+ EvtVector4C temp_00_term1;
+ EvtVector4C temp_00_term2;
+
+ EvtVector4C temp_01_term1;
+ EvtVector4C temp_01_term2;
+
+ EvtVector4C temp_10_term1;
+ EvtVector4C temp_10_term2;
+
+ EvtVector4C temp_11_term1;
+ EvtVector4C temp_11_term2;
+
+ EvtDiracSpinor p0=parent->sp(0);
+ EvtDiracSpinor p1=parent->sp(1);
+
+ EvtDiracSpinor d0=parent->getDaug(0)->spParent(0);
+ EvtDiracSpinor d1=parent->getDaug(0)->spParent(1);
+
+ temp_00_term1.set(0,f1v*(d0*(EvtGammaMatrix::g0()*p0)));
+ temp_00_term2.set(0,f1a*(d0*((EvtGammaMatrix::g0()*EvtGammaMatrix::g5())*p0)));
+ temp_01_term1.set(0,f1v*(d0*(EvtGammaMatrix::g0()*p1)));
+ temp_01_term2.set(0,f1a*(d0*((EvtGammaMatrix::g0()*EvtGammaMatrix::g5())*p1)));
+ temp_10_term1.set(0,f1v*(d1*(EvtGammaMatrix::g0()*p0)));
+ temp_10_term2.set(0,f1a*(d1*((EvtGammaMatrix::g0()*EvtGammaMatrix::g5())*p0)));
+ temp_11_term1.set(0,f1v*(d1*(EvtGammaMatrix::g0()*p1)));
+ temp_11_term2.set(0,f1a*(d1*((EvtGammaMatrix::g0()*EvtGammaMatrix::g5())*p1)));
+
+ temp_00_term1.set(1,f1v*(d0*(EvtGammaMatrix::g1()*p0)));
+ temp_00_term2.set(1,f1a*(d0*((EvtGammaMatrix::g1()*EvtGammaMatrix::g5())*p0)));
+ temp_01_term1.set(1,f1v*(d0*(EvtGammaMatrix::g1()*p1)));
+ temp_01_term2.set(1,f1a*(d0*((EvtGammaMatrix::g1()*EvtGammaMatrix::g5())*p1)));
+ temp_10_term1.set(1,f1v*(d1*(EvtGammaMatrix::g1()*p0)));
+ temp_10_term2.set(1,f1a*(d1*((EvtGammaMatrix::g1()*EvtGammaMatrix::g5())*p0)));
+ temp_11_term1.set(1,f1v*(d1*(EvtGammaMatrix::g1()*p1)));
+ temp_11_term2.set(1,f1a*(d1*((EvtGammaMatrix::g1()*EvtGammaMatrix::g5())*p1)));
+
+ temp_00_term1.set(2,f1v*(d0*(EvtGammaMatrix::g2()*p0)));
+ temp_00_term2.set(2,f1a*(d0*((EvtGammaMatrix::g2()*EvtGammaMatrix::g5())*p0)));
+ temp_01_term1.set(2,f1v*(d0*(EvtGammaMatrix::g2()*p1)));
+ temp_01_term2.set(2,f1a*(d0*((EvtGammaMatrix::g2()*EvtGammaMatrix::g5())*p1)));
+ temp_10_term1.set(2,f1v*(d1*(EvtGammaMatrix::g2()*p0)));
+ temp_10_term2.set(2,f1a*(d1*((EvtGammaMatrix::g2()*EvtGammaMatrix::g5())*p0)));
+ temp_11_term1.set(2,f1v*(d1*(EvtGammaMatrix::g2()*p1)));
+ temp_11_term2.set(2,f1a*(d1*((EvtGammaMatrix::g2()*EvtGammaMatrix::g5())*p1)));
+
+ temp_00_term1.set(3,f1v*(d0*(EvtGammaMatrix::g3()*p0)));
+ temp_00_term2.set(3,f1a*(d0*((EvtGammaMatrix::g3()*EvtGammaMatrix::g5())*p0)));
+ temp_01_term1.set(3,f1v*(d0*(EvtGammaMatrix::g3()*p1)));
+ temp_01_term2.set(3,f1a*(d0*((EvtGammaMatrix::g3()*EvtGammaMatrix::g5())*p1)));
+ temp_10_term1.set(3,f1v*(d1*(EvtGammaMatrix::g3()*p0)));
+ temp_10_term2.set(3,f1a*(d1*((EvtGammaMatrix::g3()*EvtGammaMatrix::g5())*p0)));
+ temp_11_term1.set(3,f1v*(d1*(EvtGammaMatrix::g3()*p1)));
+ temp_11_term2.set(3,f1a*(d1*((EvtGammaMatrix::g3()*EvtGammaMatrix::g5())*p1)));
+
+
+
+ EvtVector4C l1,l2;
+
+ EvtId l_num = parent->getDaug(1)->getId();
+ if (l_num==EM||l_num==MUM||l_num==TAUM){
+
+ l1=EvtLeptonVACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParentNeutrino());
+ l2=EvtLeptonVACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParentNeutrino());
+ }
+ else{
+ if (l_num==EP||l_num==MUP||l_num==TAUP){
+ l1=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(0));
+ l2=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(1));
+ }
+ else{
+ report(ERROR,"EvtGen") << "Wrong lepton number"<<endl;
+ }
+ }
+
+ amp.vertex(0,0,0,l1.cont(temp_00_term1+temp_00_term2));
+ amp.vertex(0,0,1,l2.cont(temp_00_term1+temp_00_term2));
+
+ amp.vertex(0,1,0,l1.cont(temp_01_term1+temp_01_term2));
+ amp.vertex(0,1,1,l2.cont(temp_01_term1+temp_01_term2));
+
+ amp.vertex(1,0,0,l1.cont(temp_10_term1+temp_10_term2));
+ amp.vertex(1,0,1,l2.cont(temp_10_term1+temp_10_term2));
+
+ amp.vertex(1,1,0,l1.cont(temp_11_term1+temp_11_term2));
+ amp.vertex(1,1,1,l2.cont(temp_11_term1+temp_11_term2));
+
+ return;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSemiLeptonicBaryonAmp.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Lange Oct 20, 2004 Created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSEMILEPTONICBARYONAMP_HH
+#define EVTSEMILEPTONICBARYONAMP_HH
+
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+class EvtAmp;
+class EvtSemiLeptonicFF;
+
+class EvtSemiLeptonicBaryonAmp:public EvtSemiLeptonicAmp {
+
+ public:
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+ void CalcAmp( EvtParticle *parent,EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors );
+
+};
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSemiLeptonicFF.hh
+// This is the base class for semileptonic form factor calculations.
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD September 30, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSEMILEPTONICFF_HH
+#define EVTSEMILEPTONICFF_HH
+
+#include "EvtGenBase/EvtId.hh"
+
+class EvtSemiLeptonicFF{
+
+public:
+
+ virtual void getscalarff( EvtId parent, EvtId daught,
+ double t, double mass, double *fpf,
+ double *fmf ) = 0;
+ virtual void getvectorff( EvtId parent, EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ) = 0;
+ virtual void gettensorff( EvtId parent, EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ) = 0;
+
+ virtual void getbaryonff(EvtId parent, EvtId daught,
+ double t,
+ double m_meson,
+ double *f1v,
+ double *f1a,
+ double *f2v,
+ double *f2a) = 0 ;
+
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSemiLeptonicScalarAmp.cc
+//
+// Description: Routine to implement semileptonic decays to pseudo-scalar
+// mesons.
+//
+// Modification history:
+//
+// DJL April 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+void EvtSemiLeptonicScalarAmp::CalcAmp( EvtParticle *parent,
+ EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors ) {
+
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ //Add the lepton and neutrino 4 momenta to find q2
+
+ EvtVector4R q = parent->getDaug(1)->getP4()
+ + parent->getDaug(2)->getP4();
+ double q2 = (q.mass2());
+
+ double fpf,f0f;
+ double mesonmass = parent->getDaug(0)->mass();
+ double parentmass = parent->mass();
+
+ FormFactors->getscalarff(parent->getId(),
+ parent->getDaug(0)->getId(),
+ q2,
+ mesonmass,
+ &fpf,
+ &f0f);
+
+
+ EvtVector4R p4b;
+ p4b.set(parent->mass(),0.0,0.0,0.0);
+ EvtVector4R p4meson = parent->getDaug(0)->getP4();
+ double mdiffoverq2;
+ mdiffoverq2 = parentmass*parentmass - mesonmass*mesonmass;
+ mdiffoverq2 = mdiffoverq2 / q2;
+
+ EvtVector4C l1,l2;
+
+ EvtId l_num = parent->getDaug(1)->getId();
+ EvtVector4C tds;
+
+ if (l_num==EM||l_num==MUM||l_num==TAUM){
+
+ tds = EvtVector4C(fpf*(p4b+p4meson - (mdiffoverq2*(p4b-p4meson)))+
+ + f0f*mdiffoverq2*(p4b-p4meson));
+
+ l1=EvtLeptonVACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParentNeutrino());
+ l2=EvtLeptonVACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParentNeutrino());
+ }
+ else{
+ if (l_num==EP||l_num==MUP||l_num==TAUP){
+
+ tds = EvtVector4C(fpf*(p4b+p4meson - (mdiffoverq2*(p4b-p4meson)))+
+ + f0f*mdiffoverq2*(p4b-p4meson));
+
+ l1=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(0));
+ l2=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(1));
+ }
+ else{
+ report(ERROR,"EvtGen") << "dfnb89agngri wrong lepton number\n";
+ }
+ }
+
+ amp.vertex(0,l1*tds);
+ amp.vertex(1,l2*tds);
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSemiLeptonicScalarAmp.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSEMILEPTONICSCALARAMP_HH
+#define EVTSEMILEPTONICSCALARAMP_HH
+
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtAmp;
+class EvtParticle;
+class EvtSemiLeptonicFF;
+
+class EvtSemiLeptonicScalarAmp : public EvtSemiLeptonicAmp {
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+ void CalcAmp( EvtParticle *parent, EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors );
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSemiLeptonicTensorAmp.cc
+//
+// Description: Routine to implement semileptonic decays to pseudo-scalar
+// mesons.
+//
+// Modification history:
+//
+// DJL April 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtSemiLeptonicTensorAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+void EvtSemiLeptonicTensorAmp::CalcAmp( EvtParticle *parent,
+ EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors ) {
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+
+ //Add the lepton and neutrino 4 momenta to find q2
+
+ EvtVector4R q = parent->getDaug(1)->getP4()
+ + parent->getDaug(2)->getP4();
+ double q2 = (q.mass2());
+
+ double hf,kf,bpf,bmf;
+
+ FormFactors->gettensorff(parent->getId(),
+ parent->getDaug(0)->getId(),
+ q2,
+ parent->getDaug(0)->mass(),
+ &hf,
+ &kf,
+ &bpf,
+ &bmf);
+
+
+ double costhl_flag = 1.0;
+
+ if(parent->getId()==D0||parent->getId()==D0B||
+ parent->getId()==DP||parent->getId()==DM) {
+ costhl_flag = -1.0;
+ }
+ if(parent->getId()==DSP||parent->getId()==DSM) {
+ costhl_flag = -1.0;
+ }
+ hf = hf * costhl_flag;
+
+ EvtVector4R p4b;
+ p4b.set(parent->mass(),0.0,0.0,0.0);
+
+ EvtVector4R p4meson = parent->getDaug(0)->getP4();
+
+ EvtVector4C l1,l2;
+
+ EvtId l_num = parent->getDaug(1)->getId();
+
+ EvtVector4C ep_meson_b[5];
+
+ ep_meson_b[0] = ((parent->getDaug(0)->epsTensorParent(0)).cont2(p4b)).conj();
+ ep_meson_b[1] = ((parent->getDaug(0)->epsTensorParent(1)).cont2(p4b)).conj();
+ ep_meson_b[2] = ((parent->getDaug(0)->epsTensorParent(2)).cont2(p4b)).conj();
+ ep_meson_b[3] = ((parent->getDaug(0)->epsTensorParent(3)).cont2(p4b)).conj();
+ ep_meson_b[4] = ((parent->getDaug(0)->epsTensorParent(4)).cont2(p4b)).conj();
+
+ EvtVector4R pp,pm;
+
+ pp=p4b+p4meson;
+ pm=p4b-p4meson;
+
+ //lange - October 31,2002 - try to lessen the mass dependence of probmax
+ double q2max = p4b.mass2() + p4meson.mass2() - 2.0*p4b.mass()*p4meson.mass();
+ double q2maxin=1.0/q2max;
+
+ EvtComplex ep_meson_bb[5];
+
+ ep_meson_bb[0]=ep_meson_b[0]*(p4b);
+ ep_meson_bb[1]=ep_meson_b[1]*(p4b);
+ ep_meson_bb[2]=ep_meson_b[2]*(p4b);
+ ep_meson_bb[3]=ep_meson_b[3]*(p4b);
+ ep_meson_bb[4]=ep_meson_b[4]*(p4b);
+
+
+ EvtVector4C tds0,tds1,tds2,tds3,tds4;
+
+ EvtTensor4C tds;
+ if (l_num==EM||l_num==MUM||l_num==TAUM){
+ EvtTensor4C tdual=EvtComplex(0.0,hf)*dual(directProd(pp,pm));
+ tds0=tdual.cont2(ep_meson_b[0])
+ -kf*ep_meson_b[0]
+ -bpf*ep_meson_bb[0]*pp-bmf*ep_meson_bb[0]*pm;
+ tds0*=q2maxin;
+
+ tds1=tdual.cont2(ep_meson_b[1])
+ -kf*ep_meson_b[1]
+ -bpf*ep_meson_bb[1]*pp-bmf*ep_meson_bb[1]*pm;
+ tds1*=q2maxin;
+
+ tds2=tdual.cont2(ep_meson_b[2])
+ -kf*ep_meson_b[2]
+ -bpf*ep_meson_bb[2]*pp-bmf*ep_meson_bb[2]*pm;
+ tds2*=q2maxin;
+
+ tds3=tdual.cont2(ep_meson_b[3])
+ -kf*ep_meson_b[3]
+ -bpf*ep_meson_bb[3]*pp-bmf*ep_meson_bb[3]*pm;
+ tds3*=q2maxin;
+
+ tds4=tdual.cont2(ep_meson_b[4])
+ -kf*ep_meson_b[4]
+ -bpf*ep_meson_bb[4]*pp-bmf*ep_meson_bb[4]*pm;
+ tds4*=q2maxin;
+
+
+ l1=EvtLeptonVACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParentNeutrino());
+ l2=EvtLeptonVACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParentNeutrino());
+ }
+ else{
+ if (l_num==EP||l_num==MUP||l_num==TAUP){
+ EvtTensor4C tdual=EvtComplex(0.0,-hf)*dual(directProd(pp,pm));
+ tds0=tdual.cont2(ep_meson_b[0])
+ -kf*ep_meson_b[0]
+ -bpf*ep_meson_bb[0]*pp-bmf*ep_meson_bb[0]*pm;
+ tds0*=q2maxin;
+
+ tds1=tdual.cont2(ep_meson_b[1])
+ -kf*ep_meson_b[1]
+ -bpf*ep_meson_bb[1]*pp-bmf*ep_meson_bb[1]*pm;
+ tds1*=q2maxin;
+
+ tds2=tdual.cont2(ep_meson_b[2])
+ -kf*ep_meson_b[2]
+ -bpf*ep_meson_bb[2]*pp-bmf*ep_meson_bb[2]*pm;
+ tds2*=q2maxin;
+
+ tds3=tdual.cont2(ep_meson_b[3])
+ -kf*ep_meson_b[3]
+ -bpf*ep_meson_bb[3]*pp-bmf*ep_meson_bb[3]*pm;
+ tds3*=q2maxin;
+
+ tds4=tdual.cont2(ep_meson_b[4])
+ -kf*ep_meson_b[4]
+ -bpf*ep_meson_bb[4]*pp-bmf*ep_meson_bb[4]*pm;
+ tds4*=q2maxin;
+
+ l1=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(0));
+ l2=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(1));
+ }
+ else{
+ report(ERROR,"EvtGen") << "dfnb89agngri wrong lepton number\n";
+ }
+ }
+
+ amp.vertex(0,0,l1*tds0);
+ amp.vertex(0,1,l2*tds0);
+
+ amp.vertex(1,0,l1*tds1);
+ amp.vertex(1,1,l2*tds1);
+
+ amp.vertex(2,0,l1*tds2);
+ amp.vertex(2,1,l2*tds2);
+
+ amp.vertex(3,0,l1*tds3);
+ amp.vertex(3,1,l2*tds3);
+
+ amp.vertex(4,0,l1*tds4);
+ amp.vertex(4,1,l2*tds4);
+
+ return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSemiLeptonicTensorAmp.hh
+//
+// Description: Class for calcultaion of amplitude for semileptonic
+// decay to tensor.
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSEMILEPTONICTENSORAMP_HH
+#define EVTSEMILEPTONICTENSORAMP_HH
+
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+class EvtSemiLeptonicFF;
+class EvtAmp;
+
+class EvtSemiLeptonicTensorAmp:
+ public EvtSemiLeptonicAmp {
+
+ public:
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+ void CalcAmp( EvtParticle *parent, EvtAmp& amp, EvtSemiLeptonicFF *FormFactors );
+
+};
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSemiLeptonicVectorAmp.cc
+//
+// Description: Routine to implement semileptonic decays to vector
+// mesons.
+//
+// Modification history:
+//
+// DJL April 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+using std::endl;
+
+void EvtSemiLeptonicVectorAmp::CalcAmp( EvtParticle *parent,
+ EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors ) {
+
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+
+ //Add the lepton and neutrino 4 momenta to find q2
+
+ EvtVector4R q = parent->getDaug(1)->getP4()
+ + parent->getDaug(2)->getP4();
+ double q2 = (q.mass2());
+
+ double a1f,a2f,vf,a0f,a3f;
+ double m_meson = parent->getDaug(0)->mass();
+
+ FormFactors->getvectorff(parent->getId(),
+ parent->getDaug(0)->getId(),
+ q2,
+ m_meson,
+ &a1f,
+ &a2f,
+ &vf,
+ &a0f);
+
+ double costhl_flag = 1.0;
+
+ if(parent->getId()==D0||parent->getId()==D0B||
+ parent->getId()==DP||parent->getId()==DM) {
+ costhl_flag = -1.0;
+ }
+ if(parent->getId()==DSP||parent->getId()==DSM) {
+ costhl_flag = -1.0;
+ }
+ vf = vf * costhl_flag;
+
+ EvtVector4R p4b;
+ p4b.set(parent->mass(),0.0,0.0,0.0);
+
+ EvtVector4R p4meson = parent->getDaug(0)->getP4();
+
+ EvtVector4C l1,l2;
+
+ EvtId l_num = parent->getDaug(1)->getId();
+ double m_b = parent->mass();
+
+ a3f = ((m_b+m_meson)/(2.0*m_meson))*a1f -
+ ((m_b-m_meson)/(2.0*m_meson))*a2f;
+
+ EvtTensor4C tds;
+ if (l_num==EM||l_num==MUM||l_num==TAUM){
+
+ tds = a1f*(m_b+m_meson)*EvtTensor4C::g();
+ tds.addDirProd((-a2f/(m_b+m_meson))*p4b,p4b+p4meson);
+ tds+=EvtComplex(0.0,vf/(m_b+m_meson))
+ *dual(directProd(p4meson+p4b,p4b-p4meson));
+ tds.addDirProd((a0f-a3f)*2.0*(m_meson/q2)*p4b,p4b-p4meson);
+
+ l1=EvtLeptonVACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParentNeutrino());
+ l2=EvtLeptonVACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParentNeutrino());
+ }
+ else{
+ if (l_num==EP||l_num==MUP||l_num==TAUP){
+ tds = a1f*(m_b+m_meson)*EvtTensor4C::g();
+ tds.addDirProd((-a2f/(m_b+m_meson))*p4b,p4b+p4meson);
+ tds-=EvtComplex(0.0,vf/(m_b+m_meson))
+ *dual(directProd(p4meson+p4b,p4b-p4meson));
+ tds.addDirProd((a0f-a3f)*2.0*(m_meson/q2)*p4b,p4b-p4meson);
+
+ l1=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(0));
+ l2=EvtLeptonVACurrent(parent->getDaug(2)->spParentNeutrino(),
+ parent->getDaug(1)->spParent(1));
+ }
+ else{
+ report(ERROR,"EvtGen") << "Wrong lepton number"<<endl;
+ }
+ }
+
+ EvtVector4C et0=tds.cont1( parent->getDaug(0)->epsParent(0).conj() );
+ EvtVector4C et1=tds.cont1( parent->getDaug(0)->epsParent(1).conj() );
+ EvtVector4C et2=tds.cont1( parent->getDaug(0)->epsParent(2).conj() );
+
+
+ amp.vertex(0,0,l1.cont(et0));
+ amp.vertex(0,1,l2.cont(et0));
+
+ amp.vertex(1,0,l1.cont(et1));
+ amp.vertex(1,1,l2.cont(et1));
+
+ amp.vertex(2,0,l1.cont(et2));
+ amp.vertex(2,1,l2.cont(et2));
+
+ return;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSemiLeptonicVectorAmp.hh
+//
+// Description: Class for calcultaion of amplitude for semileptonic
+// decay to a vector particle.
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSEMILEPTONICVECTORAMP_HH
+#define EVTSEMILEPTONICVECTORAMP_HH
+
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+class EvtAmp;
+class EvtSemiLeptonicFF;
+
+class EvtSemiLeptonicVectorAmp:public EvtSemiLeptonicAmp {
+
+ public:
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+ void CalcAmp( EvtParticle *parent,EvtAmp& amp,
+ EvtSemiLeptonicFF *FormFactors );
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtRandomEngine.cc
+//
+// Description: routines to generate random numbers
+// really trivial random number
+// implementation.
+//
+// Modification history:
+//
+// RYD December 25, 1999 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+
+#include <stdio.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtSimpleRandomEngine.hh"
+
+double EvtSimpleRandomEngine::random(){
+
+ _next=_next*1103515245+123345;
+ unsigned temp=(unsigned)(_next/65536) % 32768;
+
+ return ( temp + 1.0 ) / 32769.0;
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtRandom.hh
+//
+// Description:Class to generate random numbers. Single member
+// function random is expected to return a random
+// number in the range ]0..1[.
+//
+// Modification history:
+//
+// RYD December 25, 1999 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSIMPLERANDOMENGINE_HH
+#define EVTSIMPLERANDOMENGINE_HH
+
+class EvtSimpleRandomEngine{
+
+public:
+
+ EvtSimpleRandomEngine(){
+ _next=1;
+ }
+
+ void reset() {
+ _next=1;
+ }
+
+ virtual double random();
+
+private:
+
+ unsigned long int _next;
+
+};
+
+#endif
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtSpinAmp.hh"
+#include <stdlib.h>
+
+using std::endl;
+
+std::ostream&
+operator<<( std::ostream& os, const EvtSpinAmp& amp )
+{
+ vector<int> index = amp.iterinit();
+
+ os << ":";
+ do {
+ os<<"<";
+ for(size_t i=0; i<index.size()-1; ++i) {
+ os<<index[i];
+ }
+ os<<index[index.size()-1]<<">"<<amp(index)<<":";
+ } while( amp.iterate( index ) );
+
+ return os;
+}
+
+EvtSpinAmp operator*( const EvtComplex& real, const EvtSpinAmp& cont )
+{
+ EvtSpinAmp ret( cont );
+
+ for( size_t i=0; i<ret._elem.size(); ++i ) {
+ ret._elem[i] *= real;
+ }
+
+ return ret;
+}
+
+EvtSpinAmp operator*( const EvtSpinAmp& cont, const EvtComplex& real )
+{
+ return real*cont;
+}
+
+EvtSpinAmp operator/( const EvtSpinAmp& cont, const EvtComplex& real )
+{
+ EvtSpinAmp ret( cont );
+
+ for( size_t i=0; i<ret._elem.size(); ++i ) {
+ ret._elem[i] /= real;
+ }
+
+ return ret;
+}
+
+vector<unsigned int> EvtSpinAmp::calctwospin( const vector<EvtSpinType::spintype>& type ) const
+{
+ vector<unsigned int> twospin;
+
+ for( size_t i=0; i<type.size(); ++i ) {
+ twospin.push_back( EvtSpinType::getSpin2( type[i] ) );
+ }
+
+ return twospin;
+}
+
+EvtSpinAmp::EvtSpinAmp( const vector<EvtSpinType::spintype>& type )
+{
+ int num = 1;
+ _type = type;
+ _twospin=calctwospin( type );
+
+ for( size_t i=0; i<_twospin.size(); ++i )
+ num*=_twospin[i]+1;
+
+ _elem=vector<EvtComplex>( num );
+}
+
+EvtSpinAmp::EvtSpinAmp( const vector<EvtSpinType::spintype>& type, const EvtComplex & val )
+{
+ int num = 1;
+ _type = type;
+ _twospin=calctwospin( type );
+
+ for( size_t i=0; i<_twospin.size(); ++i )
+ num*=_twospin[i]+1;
+
+ _elem=vector<EvtComplex>( num, val );
+}
+
+EvtSpinAmp::EvtSpinAmp( const vector<EvtSpinType::spintype>& type,
+ const vector<EvtComplex>& elem )
+{
+ size_t num = 1;
+
+ _type = type;
+ _twospin=calctwospin( type );
+ _elem=elem;
+
+ for( size_t i=0; i<_twospin.size(); ++i ){
+ num*=(_twospin[i]+1);
+ }
+
+ if(_elem.size() != num ) {
+ report(ERROR,"EvtGen")<<"Wrong number of elements input:"
+ <<_elem.size()<<" vs. "<<num<<endl;
+ ::abort();
+ }
+
+}
+
+EvtSpinAmp::EvtSpinAmp( const EvtSpinAmp& copy )
+{
+ _twospin = copy._twospin;
+ _elem = copy._elem;
+ _type = copy._type;
+}
+
+void EvtSpinAmp::checktwospin( const vector<unsigned int>& twospin ) const
+{
+ if( _twospin == twospin )
+ return;
+
+ report( ERROR, "EvtGen" )
+ <<"Dimension or order of tensors being operated on does not match"
+ <<endl;
+ ::abort();
+}
+
+void EvtSpinAmp::checkindexargs( const vector<int>& index ) const
+{
+ if( index.size()==0 ) {
+ report(ERROR,"EvtGen") << "EvtSpinAmp can't handle no indices" << endl;
+ ::abort();
+ }
+
+ if( index.size() != _twospin.size() ) {
+ report( ERROR, "EvtGen" ) << "Rank of EvtSpinAmp index does not match: "
+ <<_twospin.size()<<" expected "<<index.size()<<" input."<<endl;
+ ::abort();
+ }
+
+ for( size_t i=0; i<_twospin.size(); ++i ) {
+ if( static_cast<int>(_twospin[i])>=abs(index[i]) && static_cast<int>(_twospin[i])%2==index[i]%2 )
+ continue;
+ report(ERROR,"EvtGen")<<"EvtSpinAmp index out of range" << endl;
+ report(ERROR,"EvtGen")<<" Index: ";
+ for(size_t j=0; j<_twospin.size(); ++j )
+ report(ERROR," ")<<_twospin[j];
+
+ report(ERROR, " ")<<endl<<" Index: ";
+ for(size_t j=0; j<index.size(); ++j )
+ report(ERROR," ")<<index[j];
+ report(ERROR, " ")<<endl;
+ ::abort();
+ }
+}
+
+int EvtSpinAmp::findtrueindex( const vector<int>& index ) const
+{
+ int trueindex = 0;
+
+ for( size_t i = index.size()-1; i>0; --i ) {
+ trueindex += (index[i]+_twospin[i])/2;
+ trueindex *= _twospin[i-1]+1;
+ }
+
+ trueindex += (index[0]+_twospin[0])/2;
+
+ return trueindex;
+}
+
+EvtComplex & EvtSpinAmp::operator()( const vector<int>& index )
+{
+ checkindexargs( index );
+
+ size_t trueindex = findtrueindex(index);
+ if(trueindex >= _elem.size()) {
+ report(ERROR,"EvtGen")<<"indexing error "<<trueindex<<" "<<_elem.size()<<endl;
+ for(size_t i=0; i<_twospin.size(); ++i) {
+ report(ERROR,"")<<_twospin[i]<<" ";
+ }
+ report(ERROR,"")<<endl;
+
+ for(size_t i=0; i<index.size(); ++i) {
+ report(ERROR,"")<<index[i]<<" ";
+ }
+ report(ERROR,"")<<endl;
+
+ ::abort();
+ }
+
+ return _elem[trueindex];
+}
+
+const EvtComplex & EvtSpinAmp::operator()( const vector<int>& index ) const
+{
+ checkindexargs( index );
+
+ size_t trueindex = findtrueindex(index);
+ if(trueindex >= _elem.size()) {
+ report(ERROR,"EvtGen")<<"indexing error "<<trueindex<<" "<<_elem.size()<<endl;
+ for(size_t i=0; i<_twospin.size(); ++i) {
+ report(ERROR,"")<<_twospin[i]<<" ";
+ }
+ report(ERROR,"")<<endl;
+
+ for(size_t i=0; i<index.size(); ++i) {
+ report(ERROR,"")<<index[i]<<" ";
+ }
+ report(ERROR,"")<<endl;
+
+ ::abort();
+ }
+
+ return _elem[trueindex];
+}
+
+EvtComplex & EvtSpinAmp::operator()( int i, ... )
+{
+ va_list ap;
+ vector<int> index( _twospin.size() );
+
+ va_start(ap, i);
+
+ index[0]=i;
+ for(size_t n=1; n<_twospin.size(); ++n )
+ index[n]=va_arg( ap, int );
+
+ va_end(ap);
+
+ return (*this)( index );
+}
+
+const EvtComplex & EvtSpinAmp::operator()( int i, ... ) const
+{
+ vector<int> index( _twospin.size() );
+ va_list ap;
+
+ va_start(ap, i);
+
+ index[0]=i;
+ for(size_t n=1; n<_twospin.size(); ++n )
+ index[n]=va_arg( ap, int );
+
+ va_end(ap);
+
+ return (*this)( index );
+}
+
+EvtSpinAmp& EvtSpinAmp::operator=( const EvtSpinAmp& cont )
+{
+ _twospin=cont._twospin;
+ _elem=cont._elem;
+ _type=cont._type;
+
+ return *this;
+}
+
+EvtSpinAmp EvtSpinAmp::operator+( const EvtSpinAmp & cont ) const
+{
+ checktwospin( cont._twospin );
+
+ EvtSpinAmp ret( cont );
+ for( size_t i=0; i<ret._elem.size(); ++i ) {
+ ret._elem[i]+=_elem[i];
+ }
+
+ return ret;
+}
+
+EvtSpinAmp& EvtSpinAmp::operator+=( const EvtSpinAmp&
+ cont )
+{
+ checktwospin( cont._twospin );
+
+ for( size_t i=0; i<_elem.size(); ++i )
+ _elem[i]+=cont._elem[i];
+
+ return *this;
+}
+
+EvtSpinAmp EvtSpinAmp::operator-( const EvtSpinAmp & cont ) const
+{
+ checktwospin( cont._twospin );
+
+ EvtSpinAmp ret( *this );
+ for( size_t i=0; i<ret._elem.size(); ++i )
+ ret._elem[i]-=cont._elem[i];
+
+ return ret;
+}
+
+EvtSpinAmp& EvtSpinAmp::operator-=( const EvtSpinAmp& cont )
+{
+ checktwospin( cont._twospin );
+
+ for( size_t i=0; i<_elem.size(); ++i )
+ _elem[i]-=cont._elem[i];
+
+ return *this;
+}
+
+// amp = amp1 * amp2
+EvtSpinAmp EvtSpinAmp::operator*( const EvtSpinAmp & amp2 ) const
+{
+ vector<int> index(rank()+amp2.rank());
+ vector<int> index1(rank()), index2(amp2.rank());
+ EvtSpinAmp amp;
+
+ amp._twospin=_twospin;
+ amp._type=_type;
+
+ for( size_t i=0; i<amp2._twospin.size(); ++i ) {
+ amp._twospin.push_back( amp2._twospin[i] );
+ amp._type.push_back( amp2._type[i] );
+ }
+
+ amp._elem = vector<EvtComplex>( _elem.size() * amp2._elem.size() );
+
+ for( size_t i=0; i<index1.size(); ++i )
+ index[i]=index1[i]=-_twospin[i];
+
+ for( size_t i=0; i<index2.size(); ++i )
+ index[i+rank()]=index2[i]=-amp2._twospin[i];
+
+ while(true) {
+ amp( index ) = (*this)( index1 )*amp2( index2 );
+ if(!amp.iterate( index )) break;
+
+ for( size_t i=0; i<index1.size(); ++i )
+ index1[i]=index[i];
+
+ for( size_t i=0; i<index2.size(); ++i )
+ index2[i]=index[i+rank()];
+ }
+
+ return amp;
+}
+
+EvtSpinAmp& EvtSpinAmp::operator*=( const EvtSpinAmp& cont )
+{
+ EvtSpinAmp ret = (*this)*cont;
+ *this=ret;
+ return *this;
+}
+
+EvtSpinAmp& EvtSpinAmp::operator*=( const EvtComplex& real )
+{
+ for( size_t i=0; i<_elem.size(); ++i )
+ _elem[i] *= real;
+
+ return *this;
+}
+
+EvtSpinAmp& EvtSpinAmp::operator/=( const EvtComplex& real )
+{
+ for( size_t i=0; i<_elem.size(); ++i )
+ _elem[i] /= real;
+
+ return *this;
+}
+
+vector<int> EvtSpinAmp::iterinit() const
+{
+ vector<int> init( _twospin.size() );
+
+ for( size_t i=0; i<_twospin.size(); ++i )
+ init[i]=-_twospin[i];
+
+ return init;
+}
+
+bool EvtSpinAmp::iterate( vector<int>& index ) const
+{
+ int last = _twospin.size() - 1;
+
+ index[0]+=2;
+ for( size_t j=0; static_cast<int>(j)<last; ++j ) {
+ if( index[j] > static_cast<int>(_twospin[j]) ) {
+ index[j] = -_twospin[j];
+ index[j+1]+=2;
+ }
+ }
+
+ return abs(index[last])<=_twospin[last];
+}
+
+// Test whether a particular index is an allowed one (specifically to deal with
+// photons and possibly neutrinos)
+bool EvtSpinAmp::allowed( const vector<int>& index ) const
+{
+ if( index.size() != _type.size() ) {
+ report(ERROR,"EvtGen")
+ <<"Wrong dimensino index input to allowed."<<endl;
+ ::abort();
+ }
+
+ for(size_t i=0; i<index.size(); ++i) {
+ switch(_type[i]) {
+ case EvtSpinType::PHOTON:
+ if(abs(index[i])!=2) return false;
+ break;
+ case EvtSpinType::NEUTRINO:
+ report(ERROR,"EvtGen")
+ <<"EvMultibody currently cannot handle neutrinos."<<endl;
+ ::abort();
+ default:
+ break;
+ }
+ }
+
+ return true;
+}
+
+bool EvtSpinAmp::iterateallowed( vector<int>& index ) const
+{
+ while(true) {
+ if(!iterate( index ))
+ return false;
+ if(allowed( index ))
+ return true;
+ }
+}
+
+vector<int> EvtSpinAmp::iterallowedinit() const
+{
+ vector<int> init = iterinit();
+ while(!allowed(init)) {
+ iterate(init);
+ }
+
+ return init;
+}
+
+void EvtSpinAmp::intcont( size_t a, size_t b )
+{
+
+ if(rank()<=2) {
+ report(ERROR,"EvtGen")<<"EvtSpinAmp can't handle no indices" << endl;
+ ::abort();
+ }
+
+ size_t newrank=rank()-2;
+
+ if(_twospin[a]!=_twospin[b]) {
+ report(ERROR,"EvtGen")
+ <<"Contaction called on indices of different dimension"
+ <<endl;
+ report(ERROR,"EvtGen")
+ <<"Called on "<<_twospin[a]<<" and "<<_twospin[b]
+ <<endl;
+ ::abort();
+ }
+
+ vector<int> newtwospin( newrank );
+ vector<EvtSpinType::spintype> newtype( newrank );
+
+ for( size_t i=0, j=0; i<_twospin.size(); ++i ){
+ if(i==a || i==b) continue;
+
+ newtwospin[j] = _twospin[i];
+ newtype[j] = _type[i];
+ ++j;
+ }
+
+ EvtSpinAmp newamp( newtype );
+ vector<int> index( rank() ), newindex = newamp.iterinit();
+
+ for( size_t i=0; i<newrank; ++i )
+ newindex[i] = -newtwospin[i];
+
+ while(true) {
+
+ for( size_t i=0, j=0; i<rank(); ++i ) {
+ if(i==a || i==b) continue;
+ index[i]=newindex[j];
+ ++j;
+ }
+
+ index[b]=index[a]=-_twospin[a];
+ newamp(newindex) = (*this)(index);
+ for( size_t i=-_twospin[a]+2; i<=_twospin[a]; i+=2 ) {
+ index[b]=index[a]=i;
+ newamp(newindex) += (*this)(index);
+ }
+
+ if(!newamp.iterate(newindex)) break;
+ }
+
+ *this=newamp;
+}
+
+// In A.extcont(B), a is the index in A and b is the index in B - note that this
+// routine can be extremely improved!
+void EvtSpinAmp::extcont( const EvtSpinAmp& cont, int a, int b )
+{
+ EvtSpinAmp ret = (*this)*cont;
+ ret.intcont( a, rank()+b );
+
+ *this=ret;
+}
--- /dev/null
+#ifndef __EVTSPINAMP_HH__
+#define __EVTSPINAMP_HH__
+
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtComplex.hh"
+
+#include <vector>
+using std::vector;
+
+#include <cstdarg>
+
+class EvtSpinAmp;
+EvtSpinAmp operator*( const EvtComplex&, const EvtSpinAmp& );
+EvtSpinAmp operator*( const EvtSpinAmp&, const EvtComplex& );
+EvtSpinAmp operator/( const EvtSpinAmp&, const EvtComplex& );
+
+class EvtSpinAmp
+{
+
+ friend EvtSpinAmp operator*( const EvtComplex&, const EvtSpinAmp& );
+ friend EvtSpinAmp operator*( const EvtSpinAmp&, const EvtComplex& );
+ friend EvtSpinAmp operator/( const EvtSpinAmp&, const EvtComplex& );
+ friend std::ostream& operator<< ( std::ostream&, const EvtSpinAmp& );
+
+public:
+
+ EvtSpinAmp( ) {};
+ EvtSpinAmp( const vector<EvtSpinType::spintype>& );
+ EvtSpinAmp( const vector<EvtSpinType::spintype>& , const EvtComplex& );
+ EvtSpinAmp( const vector<EvtSpinType::spintype>& , const vector<EvtComplex>& );
+ EvtSpinAmp( const EvtSpinAmp & );
+
+ ~EvtSpinAmp( ) {};
+
+ // Input to the index functions are twice the magnetic quantum number
+ EvtComplex& operator()( const vector<int>& );
+ const EvtComplex& operator()( const vector<int>& ) const;
+ EvtComplex& operator()( int, ... );
+ const EvtComplex& operator()( int, ... ) const;
+
+ EvtSpinAmp& operator=( const EvtSpinAmp& );
+
+ EvtSpinAmp operator+( const EvtSpinAmp& ) const;
+ EvtSpinAmp& operator+=( const EvtSpinAmp& );
+
+ EvtSpinAmp operator-( const EvtSpinAmp& ) const;
+ EvtSpinAmp& operator-=( const EvtSpinAmp& );
+
+ // Direct Product
+ EvtSpinAmp operator*( const EvtSpinAmp& ) const;
+ EvtSpinAmp& operator*=( const EvtSpinAmp& );
+
+ EvtSpinAmp& operator*=( const EvtComplex& );
+ EvtSpinAmp& operator/=( const EvtComplex& );
+
+ // Contraction of amplitudes
+ void intcont( size_t, size_t );
+ void extcont( const EvtSpinAmp &, int, int );
+
+ // assign this value to every member in the container
+ void assign( const EvtComplex & val ) { _elem.assign( _elem.size(), val ); }
+
+ // get the order of the container
+ size_t rank( ) const { return _twospin.size(); }
+
+ // get the dimension vector of the container
+ const vector<unsigned int> & dims( ) const { return _twospin; }
+
+ // set the elements and the dimensions of the vector - useful for something
+ // things eventough it is usually not the cleanest solution
+ void addspin( int twospin ) { _twospin.push_back( twospin ); }
+ void setelem( const vector<EvtComplex> &elem ) { _elem = elem; }
+
+ bool iterate( vector<int>& index ) const;
+ vector<int> iterinit() const;
+
+ bool allowed( const vector<int>& index ) const;
+ bool iterateallowed( vector<int>& index) const;
+ vector<int> iterallowedinit() const;
+
+private:
+
+ void checkindexargs( const vector<int>& index ) const;
+ void checktwospin( const vector<unsigned int>& twospin ) const;
+ int findtrueindex( const vector<int>& index ) const;
+ vector<unsigned int> calctwospin( const vector<EvtSpinType::spintype>& type ) const;
+
+ vector<EvtSpinType::spintype> _type;
+ vector<unsigned int> _twospin;
+ vector<EvtComplex> _elem;
+};
+
+#endif // __EVTSPINAMP__
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSpinDensity.cc
+//
+// Description: Class to reperesent spindensity matrices.
+//
+// Modification history:
+//
+// RYD May 29,1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtSpinDensity.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+using std::ostream;
+
+
+EvtSpinDensity::EvtSpinDensity(const EvtSpinDensity& density){
+ dim=0;
+ rho=0;
+
+ int i,j;
+ setDim(density.dim);
+
+ for(i=0;i<dim;i++){
+ for(j=0;j<dim;j++){
+ rho[i][j]=density.rho[i][j];
+ }
+ }
+}
+
+EvtSpinDensity& EvtSpinDensity::operator=(const EvtSpinDensity& density){
+ int i,j;
+ setDim(density.dim);
+
+ for(i=0;i<dim;i++){
+ for(j=0;j<dim;j++){
+ rho[i][j]=density.rho[i][j];
+ }
+ }
+
+ return *this;
+
+}
+
+EvtSpinDensity::~EvtSpinDensity(){
+
+ if (dim!=0){
+ int i;
+ for(i=0;i<dim;i++) delete [] rho[i];
+ }
+
+ delete [] rho;
+
+}
+
+EvtSpinDensity::EvtSpinDensity(){
+ dim=0;
+ rho=0;
+}
+
+void EvtSpinDensity::setDim(int n){
+ if (dim==n) return;
+ if (dim!=0){
+ int i;
+ for(i=0;i<dim;i++) delete [] rho[i];
+ delete [] rho;
+ rho=0;
+ dim=0;
+ }
+ if (n==0) return;
+ dim=n;
+ rho=new EvtComplexPtr[n];
+ int i;
+ for(i=0;i<n;i++){
+ rho[i]=new EvtComplex[n];
+ }
+
+
+}
+
+int EvtSpinDensity::getDim() const {
+ return dim;
+}
+
+void EvtSpinDensity::set(int i,int j,const EvtComplex& rhoij){
+ assert(i<dim&&j<dim);
+ rho[i][j]=rhoij;
+}
+
+const EvtComplex& EvtSpinDensity::get(int i,int j)const{
+ assert(i<dim&&j<dim);
+ return rho[i][j];
+}
+
+void EvtSpinDensity::setDiag(int n){
+ setDim(n);
+ int i,j;
+
+ for(i=0;i<n;i++){
+ for(j=0;j<n;j++){
+ rho[i][j]=EvtComplex(0.0);
+ }
+ rho[i][i]=EvtComplex(1.0);
+ }
+}
+
+double EvtSpinDensity::normalizedProb(const EvtSpinDensity& d){
+
+ int i,j;
+ EvtComplex prob(0.0,0.0);
+ double norm=0.0;
+
+ if (dim!=d.dim) {
+ report(ERROR,"EvtGen")<<"Not matching dimensions in NormalizedProb"<<endl;
+ ::abort();
+ }
+
+ for(i=0;i<dim;i++){
+ norm+=real(rho[i][i]);
+ for(j=0;j<dim;j++){
+ prob+=rho[i][j]*d.rho[i][j];
+ }
+ }
+
+ if (imag(prob)>0.00000001*real(prob)) {
+ report(ERROR,"EvtGen")<<"Imaginary probability:"<<prob<<" "<<norm<<endl;
+ }
+ if (real(prob)<0.0) {
+ report(ERROR,"EvtGen")<<"Negative probability:"<<prob<<" "<<norm<<endl;
+ }
+
+ return real(prob)/norm;
+
+}
+
+int EvtSpinDensity::check(){
+
+ if (dim<1) {
+ report(ERROR,"EvtGen")<<"dim="<<dim<<"in SpinDensity::Check"<<endl;
+ }
+
+ int i,j;
+
+ for(i=0;i<dim;i++){
+
+ if (real(rho[i][i])<0.0) return 0;
+ if (imag(rho[i][i])*1000000.0>abs(rho[i][i])) {
+ report(INFO,"EvtGen") << "Failing 1"<<endl;
+ return 0;
+ }
+ }
+
+ for(i=0;i<dim;i++){
+ for(j=i+1;j<dim;j++){
+ if (fabs(real(rho[i][j]-rho[j][i]))>
+ 0.00000001*(abs(rho[i][i])+abs(rho[j][j]))) {
+ report(INFO,"EvtGen") << "Failing 2"<<endl;
+ return 0;
+ }
+ if (fabs(imag(rho[i][j]+rho[j][i]))>
+ 0.00000001*(abs(rho[i][i])+abs(rho[j][j]))) {
+ report(INFO,"EvtGen") << "Failing 3"<<endl;
+ return 0;
+ }
+ }
+ }
+
+ return 1;
+}
+
+ostream& operator<<(ostream& s,const EvtSpinDensity& d){
+
+ int i,j;
+
+ s << endl;
+ s << "Dimension:"<<d.dim<<endl;
+
+ for (i=0;i<d.dim;i++){
+ for (j=0;j<d.dim;j++){
+ s << d.rho[i][j]<<" ";
+ }
+ s <<endl;
+ }
+
+ return s;
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSpinDensity.hh
+//
+// Description: This class holds a spin density matrix, it is
+// a complex nxn matrix.
+//
+// Modification history:
+//
+// RYD May 29, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSPINDENSITY_HH
+#define EVTSPINDENSITY_HH
+#include "EvtGenBase/EvtComplex.hh"
+
+
+class EvtSpinDensity {
+
+public:
+
+ EvtSpinDensity(const EvtSpinDensity& density);
+ EvtSpinDensity& operator=(const EvtSpinDensity& density);
+ virtual ~EvtSpinDensity();
+
+ EvtSpinDensity();
+ void setDim(int n);
+ int getDim() const;
+ void set(int i,int j,const EvtComplex& rhoij);
+ const EvtComplex& get(int i,int j) const;
+ double normalizedProb(const EvtSpinDensity& d);
+ friend std::ostream& operator<<(std::ostream& s,const EvtSpinDensity& d);
+ void setDiag(int n);
+
+ int check();
+
+private:
+
+ EvtComplexPtrPtr rho;
+ int dim;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenBase/EvtSpinType.cc
+//
+// Description: Class for enumarating the different types of
+// particles and the number of states they have.
+//
+// Modification history:
+//
+// RYD Jan 26, 2006 Module created
+//
+//------------------------------------------------------------------------
+
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+
+
+int EvtSpinType::getSpin2(spintype stype){
+
+ switch (stype){
+ case SCALAR: case STRING:
+ return 0;
+ case DIRAC: case NEUTRINO:
+ return 1;
+ case VECTOR: case PHOTON:
+ return 2;
+ case RARITASCHWINGER:
+ return 3;
+ case TENSOR:
+ return 4;
+ case SPIN5HALF:
+ return 5;
+ case SPIN3:
+ return 6;
+ case SPIN7HALF:
+ return 7;
+ case SPIN4:
+ return 8;
+ default:
+ report(ERROR,"EvtGen")<<"Unknown spintype in EvtSpinType!"<<std::endl;
+ return 0;
+ }
+
+}
+
+
+
+int EvtSpinType::getSpinStates(spintype stype){
+
+ switch (stype){
+ case SCALAR: case STRING: case NEUTRINO:
+ return 1;
+ case DIRAC: case PHOTON:
+ return 2;
+ case VECTOR:
+ return 3;
+ case RARITASCHWINGER:
+ return 4;
+ case TENSOR:
+ return 5;
+ case SPIN5HALF:
+ return 6;
+ case SPIN3:
+ return 7;
+ case SPIN7HALF:
+ return 8;
+ case SPIN4:
+ return 9;
+ default:
+ report(ERROR,"EvtGen")<<"Unknown spintype in EvtSpinType!"<<std::endl;
+ return 0;
+ }
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSpinType.hh
+//
+// Description: Class for enumarating the different types of
+// particles and the number of states they have.
+//
+// Modification history:
+//
+// RYD August 12, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSPINTYPE_HH
+#define EVTSPINTYPE_HH
+
+#include "EvtGenBase/EvtReport.hh"
+
+class EvtSpinType{
+
+public:
+
+ enum spintype { SCALAR,VECTOR,TENSOR,DIRAC,PHOTON,NEUTRINO,STRING,
+ RARITASCHWINGER,SPIN3,SPIN4,SPIN5HALF,SPIN7HALF};
+
+ static int getSpin2(spintype stype);
+
+ static int getSpinStates(spintype stype);
+
+private:
+
+};
+
+#endif
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtGen.hh
+//
+// Description:Main class to provide user interface to EvtGen.
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+//
+// DJL August 10, 1998 Additional Event member function added
+//
+// RYD December 25, 1999 Any application using EvtGen will need
+// to instantiate an instance of this class
+// and hold on to it untill done generating
+// events. This class will now hold data used
+// for the lifetime of the generator.
+// Lange April 18, 2002 - split "status" info into own class
+
+//------------------------------------------------------------------------
+
+#ifndef EVTSTATUS_HH
+#define EVTSTATUS_HH
+
+
+class EvtStatus{
+
+public:
+
+
+ static void setRejectFlag() {int *temp=rejectFlag(); *temp=1; return;}
+ static void initRejectFlag() {int *temp=rejectFlag(); *temp=0; return;}
+ static int* rejectFlag() {static int rejectEvent=0; return &rejectEvent;}
+ static int getRejectFlag() {int *temp=rejectFlag(); return *temp;}
+
+};
+
+
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtStdHep.cc
+//
+// Description: Class produce the StdHep representation of the decay.
+//
+// Modification history:
+//
+// RYD March 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <iostream>
+#include <iomanip>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtStdHep.hh"
+using namespace std;
+
+
+void EvtStdHep::init(){
+ _npart=0;
+}
+
+int EvtStdHep::getNPart(){
+ return _npart;
+}
+
+void EvtStdHep::createParticle(EvtVector4R p4,EvtVector4R x,int prntfirst,
+ int prntlast, int id){
+
+ _p4[_npart]=p4;
+ _x[_npart]=x;
+ _prntfirst[_npart]=prntfirst;
+ _prntlast[_npart]=prntlast;
+ _daugfirst[_npart]=-1;
+ _dauglast[_npart]=-1;
+ _id[_npart]=id;
+ _istat[_npart]=1;
+
+ //we also need to fix up the parents pointer to the daughter!
+
+ if (prntfirst>=0) {
+ int i;
+ for (i=prntfirst;i<=prntlast;i++){
+ _istat[i]=2;
+ if (_daugfirst[i]==-1) _daugfirst[i]=_npart;
+ if (_dauglast[i]<_npart) _dauglast[i]=_npart;
+ }
+
+ }
+
+ _npart++;
+
+}
+
+void EvtStdHep::translate(EvtVector4R d){
+
+ int i;
+ for(i=0;i<_npart;i++){
+ _x[i]+=d;
+ }
+
+}
+
+
+/*
+ostream& operator<<(ostream& s, const EvtStdHep& stdhep){
+
+ int w=s.width();
+ int p=s.precision();
+ std::ios::fmtflags f=s.flags();
+
+
+ s <<endl;
+ s << " N Id Ist M1 M2 DF DL px py pz E t x y z"<<endl;
+ int i;
+ for(i=0;i<stdhep._npart;i++){
+
+ s.width(3);
+ s<<i<<" ";
+ s.width(7);
+ s<<stdhep._id[i]<<" ";
+ s.width(3);
+ s<<stdhep._istat[i]<<" ";
+ s.width(4);
+ s<<stdhep._prntfirst[i]<<" ";
+ s.width(4);
+ s<<stdhep._prntlast[i]<<" ";
+ s.width(4);
+ s<<stdhep._daugfirst[i]<<" ";
+ s.width(4);
+ s<<stdhep._dauglast[i]<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._p4[i].get(1)<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._p4[i].get(2)<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._p4[i].get(3)<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._p4[i].get(0)<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._x[i].get(0)<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._x[i].get(1)<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._x[i].get(2)<<" ";
+ s.width(7);
+ s.precision(4);
+ s<<setiosflags( ios::right|ios::fixed );
+ s<<stdhep._x[i].get(3)<<endl;
+ s.width(0);
+ }
+
+ s<<endl;
+
+ s.width(w);
+ s.precision(p);
+ s.flags((std::ios::fmtflags)f);
+
+ return s;
+
+}
+
+*/
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtStdHep.hh
+//
+// Description: Class produce the StdHep representation of the decay.
+//
+// Modification history:
+//
+// RYD March. 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSTDHEP_HH
+#define EVTSTDHEP_HH
+
+#include "EvtGenBase/EvtVector4R.hh"
+#include <iosfwd>
+
+const int EVTSTDHEPLENGTH =1000;
+
+class EvtStdHep {
+
+public:
+
+ EvtStdHep(){}
+ ~EvtStdHep(){}
+
+ void init();
+
+ int getFirstMother(int i) { return _prntfirst[i]; }
+ int getLastMother(int i) { return _prntlast[i]; }
+ int getFirstDaughter(int i) { return _daugfirst[i]; }
+ int getLastDaughter(int i) { return _dauglast[i]; }
+
+ int getStdHepID(int i) { return _id[i]; }
+ int getIStat(int i) { return _istat[i]; }
+
+ EvtVector4R getP4(int i) { return _p4[i]; }
+ EvtVector4R getX4(int i) { return _x[i]; }
+
+ void translate(EvtVector4R d);
+
+ int getNPart();
+ void createParticle(EvtVector4R p4,EvtVector4R x,int prntfirst,
+ int prntlast, int id);
+
+ friend std::ostream& operator<<(std::ostream& s, const EvtStdHep& stdhep);
+
+private:
+
+ int _npart;
+ EvtVector4R _p4[EVTSTDHEPLENGTH];
+ EvtVector4R _x[EVTSTDHEPLENGTH];
+ int _prntfirst[EVTSTDHEPLENGTH];
+ int _prntlast[EVTSTDHEPLENGTH];
+ int _daugfirst[EVTSTDHEPLENGTH];
+ int _dauglast[EVTSTDHEPLENGTH];
+ int _id[EVTSTDHEPLENGTH];
+ int _istat[EVTSTDHEPLENGTH];
+
+};
+
+#endif
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtStdlibRandomEngine.hh,v 1.1 2003/06/29 06:01:29 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+/*
+ * Interface to stdlib's random number generator
+ */
+
+#ifndef EVT_STDLIB_RANDOM_ENGINE_HH
+#define EVT_STDLIB_RANDOM_ENGINE_HH
+
+#include <stdlib.h>
+#include "EvtGenBase/EvtRandomEngine.hh"
+
+class EvtStdlibRandomEngine : public EvtRandomEngine {
+public:
+
+ void setSeed(unsigned int seed)
+ {
+ srand(seed);
+ }
+
+ virtual double random()
+ {
+ double x = rand();
+ double y = RAND_MAX;
+ return x/y;
+ }
+};
+
+#endif
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtStreamAdapter.hh,v 1.1 2003/03/03 05:38:22 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Stream adapters are used to convert a stream-like input (for example,
+// a file containing N entries) to an STL like iterator interface. There
+// must be a way to get point from the stream, and also an indicator of the
+// end of the stream.
+
+#ifndef EVT_STREAM_ADAPTER_HH
+#define EVT_STREAM_ADAPTER_HH
+
+template <class Point> class EvtStreamAdapter {
+public:
+
+ EvtStreamAdapter()
+ {}
+ virtual ~EvtStreamAdapter()
+ {}
+ virtual EvtStreamAdapter* clone() const = 0;
+ virtual Point currentValue() = 0;
+ virtual void advance() = 0;
+ virtual bool pastEnd() = 0;
+
+};
+
+// N points are read from a generated stream.
+
+template <class Point,class Generator>
+class EvtGenStreamAdapter : public EvtStreamAdapter<Point> {
+public:
+ EvtGenStreamAdapter(Generator gen, int count)
+ : _gen(gen), _count(count)
+ {}
+
+ virtual ~EvtGenStreamAdapter()
+ {}
+
+ virtual EvtStreamAdapter<Point>* clone() const
+ {
+ return new EvtGenStreamAdapter(*this);
+ }
+ virtual Point currentValue() { return _gen(); }
+ virtual bool pastEnd() { return (_count <= 0); }
+ virtual void advance() { _count--; }
+
+private:
+ Generator _gen;
+ int _count; // also serves as past the end indicator
+};
+
+
+// Only points satisfying a predicate are read from the stream.
+
+template <class Point, class Iterator, class Predicate>
+class EvtPredStreamAdapter : public EvtStreamAdapter<Point> {
+public:
+ EvtPredStreamAdapter(Predicate pred, Iterator it, Iterator end)
+ : _pred(pred), _it(it), _end(end)
+ {}
+ virtual ~EvtPredStreamAdapter()
+ {}
+
+ virtual EvtStreamAdapter<Point>* clone() const
+ {
+ return new EvtPredStreamAdapter(*this);
+ }
+ virtual Point currentValue() {
+ Point value;
+ while(!pastEnd()) {
+
+ value = *_it;
+ if(_pred(value)) break;
+ _it++;
+ }
+ return value;
+ }
+
+ virtual bool pastEnd() { return _it == _end; }
+ virtual void advance() { _it++; }
+
+private:
+ Predicate _pred;
+ Iterator _it;
+ Iterator _end;
+};
+
+#endif
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtStreamInputIterator.hh,v 1.1 2003/03/03 05:38:22 dvoretsk Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Adapters are used to convert various types of input streams
+// into an iteratable interface.
+
+#ifndef EVT_STREAM_INPUT_ITERATOR_HH
+#define EVT_STREAM_INPUT_ITERATOR_HH
+
+#include "EvtGenBase/EvtStreamAdapter.hh"
+#include <iterator>
+using std::input_iterator_tag;
+
+template <class Point>
+class EvtStreamInputIterator {
+public:
+
+ typedef input_iterator_tag iterator_category;
+ typedef Point value_type;
+ typedef ptrdiff_t difference_type;
+ typedef const Point* pointer;
+ typedef const Point& reference;
+
+ EvtStreamInputIterator()
+ : _counter(0)
+ {}
+
+ EvtStreamInputIterator(const EvtStreamInputIterator& other)
+ : _counter(other._counter ? other._counter->clone() : 0),
+ _currentValue(other._currentValue)
+ {}
+
+ EvtStreamInputIterator(EvtStreamAdapter<Point>& counter)
+ : _counter(counter.clone())
+ {
+ _currentValue = _counter->currentValue();
+ }
+
+ ~EvtStreamInputIterator()
+ {
+ if(_counter) delete _counter;
+ }
+
+ reference operator*() const
+ {
+ return _currentValue;
+ }
+
+ EvtStreamInputIterator& operator++()
+ {
+ _read();
+ return *this;
+ }
+
+ EvtStreamInputIterator operator++(int)
+ {
+ EvtStreamInputIterator tmp = *this;
+ _read();
+ return tmp;
+ }
+
+ bool operator==(const EvtStreamInputIterator& other) const
+ {
+ // Equality is only defined for two past the end iterators
+ return (pastEnd() && other.pastEnd());
+ }
+
+protected:
+
+ EvtStreamAdapter<Point>* _counter;
+ value_type _currentValue;
+
+ bool pastEnd() const
+ {
+ bool ret = true;
+ if(_counter) ret = _counter->pastEnd();
+ return ret;
+ }
+
+ // Advances the iterator
+
+ void _read() {
+
+ _counter->advance();
+ _currentValue = _counter->currentValue();
+ }
+};
+
+
+// For adaptable generators these shorthand functions can be used
+// to construct iterators.
+
+template <class Generator>
+EvtStreamInputIterator<typename Generator::result_type> iter(Generator gen, int N = 0)
+{
+ typedef typename Generator::result_type Point;
+ EvtGenStreamAdapter<Point,Generator> counter(gen,N);
+ return EvtStreamInputIterator<Point>(counter);
+}
+
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSpinDensity.hh
+//
+// Description: Templated class to implement a hash table on string
+//
+// Modification history:
+//
+// RYD Aug 2, 2006 Module created
+//
+//------------------------------------------------------------------------
+
+
+#ifndef EVTSTRINGHASH_HH
+#define EVTSTRINGHASH_HH
+
+#include <string>
+
+
+template<class T>
+class EvtStringHash{
+
+public:
+ inline EvtStringHash(int size);
+ inline void add(const std::string& str,T* data);
+ inline T* get(const std::string& str);
+ inline ~EvtStringHash();
+
+private:
+ EvtStringHash();
+ int _size;
+ inline int hash(const std::string& str);
+ std::string*** _strings;
+ T*** _data;
+ int* _entries;
+
+};
+
+
+template<class T>
+EvtStringHash<T>::EvtStringHash(int size){
+
+ _size=size;
+
+ typedef std::string** EvtStringPtrPtr;
+ typedef T** TPtrPtr;
+
+ _strings=new EvtStringPtrPtr[_size];
+ _data=new TPtrPtr[_size];
+ _entries=new int[_size];
+
+ int i;
+
+ for(i=0;i<_size;i++){
+ _entries[i]=0;
+ }
+
+}
+
+template<class T>
+EvtStringHash<T>::~EvtStringHash(){
+
+ int i;
+ for(i=0;i<_size;i++){
+ int j;
+ for(j=0;j<_entries[i];j++){
+ delete _strings[i][j];
+ }
+ if (_entries[i]>0){
+ delete [] _strings[i];
+ delete [] _data[i];
+ }
+ }
+
+ delete [] _strings;
+ delete [] _data;
+ delete [] _entries;
+
+}
+
+template<class T>
+void EvtStringHash<T>::add(const std::string& str,T* data){
+
+ int ihash=hash(str);
+
+ typedef std::string* EvtStringPtr;
+ typedef T* TPtr;
+
+ std::string** newstrings=new EvtStringPtr[_entries[ihash]+1];
+ T** newdata=new TPtr[_entries[ihash]+1];
+
+ int i;
+
+ for(i=0;i<_entries[ihash];i++){
+ newstrings[i]=_strings[ihash][i];
+ newdata[i]=_data[ihash][i];
+ }
+
+ newstrings[_entries[ihash]]=new std::string;
+ *(newstrings[_entries[ihash]])=str;
+ newdata[_entries[ihash]]=data;
+
+
+ if(_entries[ihash]!=0){
+ delete [] _strings[ihash];
+ delete [] _data[ihash];
+ }
+
+ _entries[ihash]++;
+
+ _strings[ihash]=newstrings;
+ _data[ihash]=newdata;
+
+}
+
+template<class T>
+T* EvtStringHash<T>::get(const std::string& str){
+
+ int ihash=hash(str);
+
+ int i;
+
+ for (i=0;i<_entries[ihash];i++){
+ if (*(_strings[ihash][i])==str) return _data[ihash][i];
+ }
+
+ return 0;
+
+
+}
+
+
+template<class T>
+int EvtStringHash<T>::hash(const std::string& str){
+
+ const char* cstr=str.c_str();
+
+ int i=0;
+
+ int value=0;
+
+ while(cstr[i]!=0){
+ value+=(int)cstr[i];
+ i++;
+ }
+
+ return value%_size;
+
+}
+
+
+#endif
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtStringParticle.cc
+//
+// Description: Class to describe the partons that are produced in JetSet.
+//
+// Modification history:
+//
+// RYD Febuary 27,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <stdlib.h>
+#include "EvtGenBase/EvtStringParticle.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+
+EvtStringParticle::~EvtStringParticle(){
+
+ if (_npartons!=0){
+
+ delete [] _p4partons;
+ delete [] _idpartons;
+
+ }
+
+}
+
+
+EvtStringParticle::EvtStringParticle(){
+
+ _p4partons=0;
+ _idpartons=0;
+ _npartons=0;
+
+ return;
+
+}
+
+void EvtStringParticle::init(EvtId id, const EvtVector4R& p4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(id);
+
+}
+
+
+void EvtStringParticle::initPartons(int npartons,
+ EvtVector4R* p4partons,EvtId* idpartons){
+
+ _p4partons = new EvtVector4R[npartons];
+ _idpartons = new EvtId[npartons];
+
+ int i;
+
+ _npartons=npartons;
+
+ for(i=0;i<npartons;i++){
+
+ _p4partons[i]=p4partons[i];
+ _idpartons[i]=idpartons[i];
+
+ }
+
+}
+
+int EvtStringParticle::getNPartons(){
+
+ return _npartons;
+
+}
+
+EvtId EvtStringParticle::getIdParton(int i){
+
+ return _idpartons[i];
+
+}
+
+EvtVector4R EvtStringParticle::getP4Parton(int i){
+
+ return _p4partons[i];
+
+}
+
+EvtSpinDensity EvtStringParticle::rotateToHelicityBasis() const{
+
+ report(ERROR,"EvtGen") << "rotateToHelicityBasis not implemented for strin particle.";
+ report(ERROR,"EvtGen") << "Will terminate execution.";
+
+ ::abort();
+
+ EvtSpinDensity rho;
+ return rho;
+
+}
+
+EvtSpinDensity EvtStringParticle::rotateToHelicityBasis(double,
+ double,
+ double) const{
+
+ report(ERROR,"EvtGen") << "rotateToHelicityBasis(alpha,beta,gamma) not implemented for string particle.";
+ report(ERROR,"EvtGen") << "Will terminate execution.";
+
+ ::abort();
+
+ EvtSpinDensity rho;
+ return rho;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtStringParticle.hh
+//
+// Description: EvtStringParticle particle is a class to keep the
+// collection of partons that are generated by jetset.
+// This is supposedly the _only_ use of this particle.
+//
+// Modification history:
+//
+// RYD Febuary 27, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSTRINGPARTICLE_HH
+#define EVTSTRINGPARTICLE_HH
+
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtId.hh"
+
+class EvtStringParticle:public EvtParticle {
+
+public:
+
+ EvtStringParticle();
+ virtual ~EvtStringParticle();
+ void init(EvtId id, const EvtVector4R& p4);
+ void initPartons(int npartons,EvtVector4R* p4partons,EvtId* idpartons);
+ int getNPartons();
+ EvtId getIdParton(int i);
+ EvtVector4R getP4Parton(int i);
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+private:
+
+ int _npartons;
+
+ EvtVector4R* _p4partons;
+ EvtId* _idpartons;
+
+ EvtStringParticle& operator=(const EvtStringParticle& d);
+
+};
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSymTable.cc
+//
+// Description: Class to hold the symbols that are defined
+// in the DECAY files.
+// Modification history:
+//
+// RYD May 8, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include "EvtGenBase/EvtSymTable.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+using std::endl;
+using std::fstream;
+
+std::map<std::string,std::string> EvtSymTable::_symMap;
+
+
+EvtSymTable::~EvtSymTable(){}
+
+EvtSymTable::EvtSymTable() {
+
+}
+
+void EvtSymTable::define(const std::string& symname,std::string d) {
+
+ if ( _symMap.find(symname)!=_symMap.end() ) {
+ report(INFO,"EvtGen") << "Symbol:"<<symname.c_str()<<
+ " redefined, old value:"<<_symMap[symname].c_str()<<" new value:"<<d.c_str()<<endl;
+ _symMap[symname]=d;
+ return;
+ }
+
+ _symMap[symname]=d;
+ return;
+}
+
+std::string EvtSymTable::get(const std::string& symname,int& ierr) {
+
+ ierr=0;
+
+ if ( _symMap.find(symname)!=_symMap.end() ) return _symMap[symname];
+
+ // If no matching symbol found just return the string
+
+ return symname;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSymTable.hh
+//
+// Description: Class to hold the symbols that are defined
+// in the DECAY files.
+//
+// Modification history:
+//
+// RYD May 8, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSYMTABLE_HH
+#define EVTSYMTABLE_HH
+
+#include <string>
+#include <map>
+
+class EvtSymTable {
+
+public:
+
+ EvtSymTable();
+ ~EvtSymTable();
+
+ static void define(const std::string& name,std::string d);
+
+ static std::string get(const std::string& name,int &ierr);
+
+private:
+
+ static std::map<std::string,std::string> _symMap;
+
+};
+
+#endif
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTensor3C.cc
+//
+// Description: Implementation of 3 tensors.
+//
+// Modification history:
+//
+// RYD September 14, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector3C.hh"
+#include "EvtGenBase/EvtTensor3C.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+using std::ostream;
+
+
+EvtTensor3C::~EvtTensor3C(){}
+
+
+EvtTensor3C::EvtTensor3C( const EvtTensor3C& t1 ) {
+
+ int i,j;
+
+ for(i=0;i<3;i++) {
+ for(j=0;j<3;j++) {
+ t[i][j] = t1.t[i][j];
+ }
+ }
+}
+
+EvtTensor3C::EvtTensor3C(double d11, double d22, double d33) {
+
+ int i,j;
+
+ for(i=0;i<3;i++) {
+ for(j=0;j<3;j++) {
+ t[i][j] = 0.0;
+ }
+ }
+
+ t[0][0]=d11;
+ t[1][1]=d22;
+ t[2][2]=d33;
+
+}
+
+
+
+EvtTensor3C& EvtTensor3C::operator=(const EvtTensor3C& t1) {
+ int i,j;
+
+ for(i=0;i<3;i++) {
+ for(j=0;j<3;j++) {
+ t[i][j] = t1.t[i][j];
+ }
+ }
+ return *this;
+}
+
+EvtTensor3C EvtTensor3C::conj() const {
+ EvtTensor3C temp;
+
+ int i,j;
+
+ for(i=0;i<3;i++) {
+ for(j=0;j<3;j++) {
+ temp.set(j,i,::conj(t[i][j]));
+ }
+ }
+ return temp;
+}
+
+void EvtTensor3C::zero(){
+ int i,j;
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ t[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+}
+
+
+EvtTensor3C::EvtTensor3C(){
+
+ int i,j;
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ t[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+
+}
+
+EvtTensor3C EvtTensor3C::operator+=(const EvtTensor3C& t2) {
+
+ int i,j;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ t[i][j]+=t2.t[i][j];
+ }
+ }
+ return *this;
+}
+
+
+EvtTensor3C EvtTensor3C::operator-=(const EvtTensor3C& t2) {
+
+ int i,j;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ t[i][j]-=t2.t[i][j];
+ }
+ }
+ return *this;
+}
+
+
+
+EvtTensor3C EvtTensor3C::operator*=(const EvtComplex& c) {
+
+ int i,j;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ t[i][j]*=c;
+ }
+ }
+ return *this;
+}
+
+
+EvtTensor3C EvtTensor3C::operator*=(const double c){
+
+ int i,j;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ t[i][j]*=EvtComplex(c);
+ }
+ }
+ return *this;
+}
+
+
+
+
+EvtTensor3C directProd(const EvtVector3C& c1,const EvtVector3C& c2){
+ EvtTensor3C temp;
+ int i,j;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ temp.set(i,j,c1.get(i)*c2.get(j));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor3C directProd(const EvtVector3C& c1,const EvtVector3R& c2){
+ EvtTensor3C temp;
+ int i,j;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ temp.set(i,j,c1.get(i)*c2.get(j));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor3C directProd(const EvtVector3R& c1,const EvtVector3R& c2){
+ EvtTensor3C temp;
+ int i,j;
+
+ for (i=0;i<3;i++) {
+ for (j=0;j<3;j++) {
+ temp.t[i][j]=EvtComplex(c1.get(i)*c2.get(j),0.0);
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor3C conj(const EvtTensor3C& t2) {
+ EvtTensor3C temp;
+
+ int i,j;
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ temp.set(i,j,::conj((t2.get(i,j))));
+ }
+ }
+
+ return temp;
+}
+
+
+EvtTensor3C cont22(const EvtTensor3C& t1,const EvtTensor3C& t2){
+ EvtTensor3C temp;
+
+ int i,j;
+ EvtComplex c;
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ c=t1.get(i,0)*t2.get(j,0)+t1.get(i,1)*t2.get(j,1)
+ +t1.get(i,2)*t2.get(j,2);
+ temp.set(i,j,c);
+ }
+ }
+
+ return temp;
+}
+
+EvtTensor3C cont11(const EvtTensor3C& t1,const EvtTensor3C& t2){
+ EvtTensor3C temp;
+
+ int i,j;
+ EvtComplex c;
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ c=t1.get(0,i)*t2.get(0,j)+t1.get(1,i)*t2.get(1,j)
+ +t1.get(2,i)*t2.get(2,j);
+ temp.set(i,j,c);
+ }
+ }
+
+ return temp;
+}
+
+
+EvtVector3C EvtTensor3C::cont1(const EvtVector3C& v) const {
+ EvtVector3C temp;
+
+ int i;
+
+ for(i=0;i<3;i++){
+ temp.set(i,t[0][i]*v.get(0)+t[1][i]*v.get(1)
+ +t[2][i]*v.get(2));
+ }
+
+ return temp;
+}
+
+EvtVector3C EvtTensor3C::cont2(const EvtVector3C& v) const {
+ EvtVector3C temp;
+
+ int i;
+
+ for(i=0;i<3;i++){
+ temp.set(i,t[i][0]*v.get(0)+t[i][1]*v.get(1)
+ +t[i][2]*v.get(2));
+ }
+
+ return temp;
+}
+
+EvtVector3C EvtTensor3C::cont1(const EvtVector3R& v) const {
+ EvtVector3C temp;
+
+ int i;
+
+ for(i=0;i<3;i++){
+ temp.set(i,t[0][i]*v.get(0)+t[1][i]*v.get(1)
+ +t[2][i]*v.get(2));
+ }
+
+ return temp;
+}
+
+EvtVector3C EvtTensor3C::cont2(const EvtVector3R& v) const {
+ EvtVector3C temp;
+
+ int i;
+
+ for(i=0;i<3;i++){
+ temp.set(i,t[i][0]*v.get(0)+t[i][1]*v.get(1)
+ +t[i][2]*v.get(2));
+ }
+
+ return temp;
+}
+
+
+EvtTensor3C eps(const EvtVector3R& v){
+
+ EvtTensor3C temp;
+
+ temp.t[0][0]=0.0;
+ temp.t[1][1]=0.0;
+ temp.t[2][2]=0.0;
+
+ temp.t[0][1]=v.get(2);
+ temp.t[0][2]=-v.get(1);
+
+ temp.t[1][0]=-v.get(2);
+ temp.t[1][2]=v.get(0);
+
+ temp.t[2][0]=v.get(1);
+ temp.t[2][1]=-v.get(0);
+
+ return temp;
+
+}
+
+
+
+const EvtTensor3C& EvtTensor3C::id(){
+
+ static EvtTensor3C identity(1.0,1.0,1.0);
+
+ return identity;
+
+}
+
+ostream& operator<<(ostream& s,const EvtTensor3C& v){
+
+ s<<endl<<"("<<v.t[0][0]<<","<<v.t[0][1]<<","<<v.t[0][2]<<")";
+ s<<endl<<"("<<v.t[1][0]<<","<<v.t[1][1]<<","<<v.t[1][2]<<")";
+ s<<endl<<"("<<v.t[2][0]<<","<<v.t[2][1]<<","<<v.t[2][2]<<")"<<endl;
+
+ return s;
+}
+
+
+EvtTensor3C rotateEuler(const EvtTensor3C& v,
+ double alpha,double beta,double gamma){
+
+ EvtTensor3C tmp(v);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+
+void EvtTensor3C::applyRotateEuler(double phi,double theta,double ksi){
+
+ EvtComplex temp[3][3];
+ double sp,st,sk,cp,ct,ck;
+ double r[3][3];
+ int i,j,k;
+
+ sp=sin(phi);
+ st=sin(theta);
+ sk=sin(ksi);
+ cp=cos(phi);
+ ct=cos(theta);
+ ck=cos(ksi);
+
+ r[0][0]=ck*ct*cp-sk*sp;
+ r[0][1]=ck*ct*sp+sk*cp;
+ r[0][2]=-ck*st;
+
+ r[1][0]=-sk*ct*cp-ck*sp;
+ r[1][1]=-sk*ct*sp+ck*cp;
+ r[1][2]=sk*st;
+
+ r[2][0]=st*cp;
+ r[2][1]=st*sp;
+ r[2][2]=ct;
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ temp[i][j]=0.0;
+ for(k=0;k<3;k++){
+ temp[i][j]+=r[i][k]*t[k][j];
+ }
+ }
+ }
+
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ t[i][j]=0.0;
+ for(k=0;k<3;k++){
+ t[i][j]+=r[i][k]*temp[j][k];
+ }
+ }
+ }
+
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTensor3C.hh
+//
+// Description: Class to handle complex 3 tensors
+//
+// Modification history:
+//
+// RYD September 14, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTENSOR3C_HH
+#define EVTTENSOR3C_HH
+
+#include <iostream>
+#include "EvtGenBase/EvtComplex.hh"
+
+class EvtVector3C;
+class EvtVector3R;
+
+class EvtTensor3C;
+
+EvtTensor3C eps(const EvtVector3R& v);
+
+EvtTensor3C directProd(const EvtVector3C& c1,const EvtVector3C& c2);
+EvtTensor3C directProd(const EvtVector3C& c1,const EvtVector3R& c2);
+EvtTensor3C directProd(const EvtVector3R& c1,const EvtVector3R& c2);
+
+class EvtTensor3C {
+
+ friend EvtTensor3C rotateEuler(const EvtTensor3C& v,
+ double phi,double theta,double ksi);
+ friend EvtTensor3C operator*(
+ const EvtComplex& c,const EvtTensor3C& t2);
+ friend EvtTensor3C operator*(const double d,const EvtTensor3C& t2);
+ friend EvtTensor3C operator*(
+ const EvtTensor3C& t2,const EvtComplex& c);
+ friend EvtTensor3C operator*(const EvtTensor3C& t2,const double d);
+ friend EvtTensor3C operator+(
+ const EvtTensor3C& t1,const EvtTensor3C& t2);
+ friend EvtTensor3C operator-(
+ const EvtTensor3C& t1,const EvtTensor3C& t2);
+ friend EvtTensor3C directProd(const EvtVector3C& c1,const EvtVector3C& c2);
+ friend EvtTensor3C directProd(const EvtVector3C& c1,const EvtVector3R& c2);
+ friend EvtTensor3C directProd(const EvtVector3R& c1,const EvtVector3R& c2);
+ friend EvtTensor3C conj(const EvtTensor3C& t2);
+ //Contract the second index of two tensors result(i,j) = t1(i,k)t2(j,k)
+ friend EvtTensor3C cont22(const EvtTensor3C& t1,const EvtTensor3C& t2);
+ //Contract the first index of two tensors result(i,j) = t1(k,i)t2(k,j)
+ friend EvtTensor3C cont11(const EvtTensor3C& t1,const EvtTensor3C& t2);
+ //Contract the last index of eps_{ijk} with w
+ friend EvtTensor3C eps(const EvtVector3R& v);
+ friend std::ostream& operator<<(std::ostream& c,const EvtTensor3C& v);
+
+public:
+ EvtTensor3C();
+ EvtTensor3C(const EvtTensor3C& t1 );
+ EvtTensor3C(double d11, double d22, double d33);
+ virtual ~EvtTensor3C();
+ EvtTensor3C& operator=(const EvtTensor3C& t1);
+ inline void set(int i,int j,const EvtComplex& c);
+ inline const EvtComplex& get(int i, int j) const;
+ inline EvtComplex trace() const;
+ static const EvtTensor3C& id();
+ void zero();
+ void applyRotateEuler(double phi,double theta,double ksi);
+
+ EvtTensor3C operator+=(const EvtTensor3C& t2);
+ EvtTensor3C operator-=(const EvtTensor3C& t2);
+ EvtTensor3C operator*=(const double d);
+ EvtTensor3C operator*=(const EvtComplex& c);
+ EvtTensor3C conj() const;
+ EvtVector3C cont1(const EvtVector3C& v) const;
+ EvtVector3C cont2(const EvtVector3C& v) const;
+ EvtVector3C cont1(const EvtVector3R& v) const;
+ EvtVector3C cont2(const EvtVector3R& v) const;
+
+private:
+
+ EvtComplex t[3][3];
+
+};
+
+inline EvtTensor3C operator*(const EvtComplex& c,const EvtTensor3C& t2){
+ return EvtTensor3C(t2)*=c;
+}
+
+inline EvtTensor3C operator*(const double d,const EvtTensor3C& t2){
+ return EvtTensor3C(t2)*=d;
+}
+
+inline EvtTensor3C operator*(const EvtTensor3C& t2,const EvtComplex& c){
+ return EvtTensor3C(t2)*=c;
+}
+
+inline EvtTensor3C operator*(const EvtTensor3C& t2,const double d){
+ return EvtTensor3C(t2)*=d;
+}
+
+inline EvtTensor3C operator+(const EvtTensor3C& t1,const EvtTensor3C& t2){
+ return EvtTensor3C(t1)+=t2;
+}
+
+inline EvtTensor3C operator-(const EvtTensor3C& t1,const EvtTensor3C& t2){
+ return EvtTensor3C(t1)-=t2;
+}
+
+inline void EvtTensor3C::set(int i,int j,const EvtComplex& c){
+ t[i][j]=c;
+}
+
+inline const EvtComplex& EvtTensor3C::get(int i,int j) const{
+ return t[i][j];
+}
+
+inline EvtComplex EvtTensor3C::trace() const{
+ return t[0][0]+t[1][1]+t[2][2];
+}
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTensor4C.cc
+//
+// Description: Implementation of tensor particles.
+//
+// Modification history:
+//
+// DJL/RYD September 25,1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+using std::endl;
+using std::ostream;
+
+
+
+EvtTensor4C::EvtTensor4C( const EvtTensor4C& t1 ) {
+
+ int i,j;
+
+ for(i=0;i<4;i++) {
+ for(j=0;j<4;j++) {
+ t[i][j] = t1.t[i][j];
+ }
+ }
+
+}
+
+EvtTensor4C::~EvtTensor4C() { }
+
+const EvtTensor4C& EvtTensor4C::g(){
+
+ static EvtTensor4C g_metric(1.0,-1.0,-1.0,-1.0);
+
+ return g_metric;
+
+}
+
+EvtTensor4C& EvtTensor4C::operator=(const EvtTensor4C& t1) {
+ int i,j;
+
+ for(i=0;i<4;i++) {
+ for(j=0;j<4;j++) {
+ t[i][j] = t1.t[i][j];
+ }
+ }
+ return *this;
+}
+
+EvtTensor4C EvtTensor4C::conj() const {
+ EvtTensor4C temp;
+
+ int i,j;
+
+ for(i=0;i<4;i++) {
+ for(j=0;j<4;j++) {
+ temp.set(j,i,::conj(t[i][j]));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor4C rotateEuler(const EvtTensor4C& rs,
+ double alpha,double beta,double gamma){
+
+ EvtTensor4C tmp(rs);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+EvtTensor4C boostTo(const EvtTensor4C& rs,
+ const EvtVector4R p4){
+
+ EvtTensor4C tmp(rs);
+ tmp.applyBoostTo(p4);
+ return tmp;
+
+}
+
+EvtTensor4C boostTo(const EvtTensor4C& rs,
+ const EvtVector3R boost){
+
+ EvtTensor4C tmp(rs);
+ tmp.applyBoostTo(boost);
+ return tmp;
+
+}
+
+void EvtTensor4C::applyBoostTo(const EvtVector4R& p4){
+
+ double e=p4.get(0);
+
+ EvtVector3R boost(p4.get(1)/e,p4.get(2)/e,p4.get(3)/e);
+
+ applyBoostTo(boost);
+
+ return;
+
+}
+
+
+void EvtTensor4C::applyBoostTo(const EvtVector3R& boost){
+
+ double bx,by,bz,gamma,b2;
+ double lambda[4][4];
+ EvtComplex tt[4][4];
+
+ bx=boost.get(0);
+ by=boost.get(1);
+ bz=boost.get(2);
+
+ double bxx=bx*bx;
+ double byy=by*by;
+ double bzz=bz*bz;
+
+ b2=bxx+byy+bzz;
+
+
+ if (b2==0.0){
+ return;
+ }
+
+ assert(b2<1.0);
+
+ gamma=1.0/sqrt(1-b2);
+
+
+ int i,j,k;
+
+
+ if (b2==0.0){
+ return ;
+ }
+
+ lambda[0][0]=gamma;
+ lambda[0][1]=gamma*bx;
+ lambda[1][0]=gamma*bx;
+ lambda[0][2]=gamma*by;
+ lambda[2][0]=gamma*by;
+ lambda[0][3]=gamma*bz;
+ lambda[3][0]=gamma*bz;
+
+ lambda[1][1]=1.0+(gamma-1.0)*bx*bx/b2;
+ lambda[2][2]=1.0+(gamma-1.0)*by*by/b2;
+ lambda[3][3]=1.0+(gamma-1.0)*bz*bz/b2;
+
+ lambda[1][2]=(gamma-1.0)*bx*by/b2;
+ lambda[2][1]=(gamma-1.0)*bx*by/b2;
+
+ lambda[1][3]=(gamma-1.0)*bx*bz/b2;
+ lambda[3][1]=(gamma-1.0)*bx*bz/b2;
+
+ lambda[3][2]=(gamma-1.0)*bz*by/b2;
+ lambda[2][3]=(gamma-1.0)*bz*by/b2;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ tt[i][j] = EvtComplex(0.0);
+ for(k=0;k<4;k++){
+ tt[i][j]=tt[i][j]+lambda[j][k]*t[i][k];
+ }
+ }
+ }
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ t[i][j] = EvtComplex(0.0);
+ for(k=0;k<4;k++){
+ t[i][j]=t[i][j]+lambda[i][k]*tt[k][j];
+ }
+ }
+ }
+
+}
+
+void EvtTensor4C::zero(){
+ int i,j;
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ t[i][j]=EvtComplex(0.0,0.0);
+ }
+ }
+}
+
+
+
+ostream& operator<<(ostream& s,const EvtTensor4C& t){
+
+ int i,j;
+ s<< endl;
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ s << t.t[i][j];
+ }
+ s << endl;
+ }
+ return s;
+}
+
+void EvtTensor4C::setdiag(double g00, double g11, double g22, double g33){
+ t[0][0]=EvtComplex(g00);
+ t[1][1]=EvtComplex(g11);
+ t[2][2]=EvtComplex(g22);
+ t[3][3]=EvtComplex(g33);
+ t[0][1] = EvtComplex(0.0);
+ t[0][2] = EvtComplex(0.0);
+ t[0][3] = EvtComplex(0.0);
+ t[1][0] = EvtComplex(0.0);
+ t[1][2] = EvtComplex(0.0);
+ t[1][3] = EvtComplex(0.0);
+ t[2][0] = EvtComplex(0.0);
+ t[2][1] = EvtComplex(0.0);
+ t[2][3] = EvtComplex(0.0);
+ t[3][0] = EvtComplex(0.0);
+ t[3][1] = EvtComplex(0.0);
+ t[3][2] = EvtComplex(0.0);
+}
+
+
+EvtTensor4C& EvtTensor4C::operator+=(const EvtTensor4C& t2){
+
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ t[i][j]+=t2.get(i,j);
+ }
+ }
+ return *this;
+}
+
+EvtTensor4C& EvtTensor4C::operator-=(const EvtTensor4C& t2){
+
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ t[i][j]-=t2.get(i,j);
+ }
+ }
+ return *this;
+}
+
+
+EvtTensor4C& EvtTensor4C::operator*=(const EvtComplex& c) {
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ t[i][j]*=c;
+ }
+ }
+ return *this;
+}
+
+
+EvtTensor4C operator*(const EvtTensor4C& t1,const EvtComplex& c){
+
+ return EvtTensor4C(t1)*=c;
+
+}
+
+EvtTensor4C operator*(const EvtComplex& c,const EvtTensor4C& t1){
+
+ return EvtTensor4C(t1)*=c;
+
+}
+
+
+EvtTensor4C& EvtTensor4C::operator*=(double d) {
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ t[i][j]*=EvtComplex(d,0.0);
+ }
+ }
+ return *this;
+}
+
+
+EvtTensor4C operator*(const EvtTensor4C& t1, double d){
+
+ return EvtTensor4C(t1)*=EvtComplex(d,0.0);
+
+}
+
+EvtTensor4C operator*(double d, const EvtTensor4C& t1){
+
+ return EvtTensor4C(t1)*=EvtComplex(d,0.0);
+
+}
+
+EvtComplex cont(const EvtTensor4C& t1,const EvtTensor4C& t2){
+
+ EvtComplex sum(0.0,0.0);
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ sum+=t1.t[i][j]*t2.t[i][j];
+ }
+ }
+
+ return sum;
+}
+
+
+EvtTensor4C directProd(const EvtVector4C& c1,const EvtVector4C& c2){
+ EvtTensor4C temp;
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ temp.set(i,j,c1.get(i)*c2.get(j));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor4C directProd(const EvtVector4C& c1,const EvtVector4R& c2){
+ EvtTensor4C temp;
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ temp.set(i,j,c1.get(i)*c2.get(j));
+ }
+ }
+ return temp;
+}
+
+
+EvtTensor4C directProd(const EvtVector4R& c1,const EvtVector4R& c2){
+
+ EvtTensor4C temp;
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ temp.t[i][j]=EvtComplex(c1.get(i)*c2.get(j),0.0);
+ }
+ }
+ return temp;
+}
+
+EvtTensor4C& EvtTensor4C::addDirProd(const EvtVector4R& p1,const EvtVector4R& p2){
+
+ int i,j;
+
+ for (i=0;i<4;i++) {
+ for (j=0;j<4;j++) {
+ t[i][j]+=p1.get(i)*p2.get(j);
+ }
+ }
+ return *this;
+}
+
+
+EvtTensor4C dual(const EvtTensor4C& t2){
+
+ EvtTensor4C temp;
+
+ temp.set(0,0,EvtComplex(0.0,0.0));
+ temp.set(1,1,EvtComplex(0.0,0.0));
+ temp.set(2,2,EvtComplex(0.0,0.0));
+ temp.set(3,3,EvtComplex(0.0,0.0));
+
+ temp.set(0,1,t2.get(3,2)-t2.get(2,3));
+ temp.set(0,2,-t2.get(3,1)+t2.get(1,3));
+ temp.set(0,3,t2.get(2,1)-t2.get(1,2));
+
+ temp.set(1,2,-t2.get(3,0)+t2.get(0,3));
+ temp.set(1,3,t2.get(2,0)-t2.get(0,2));
+
+ temp.set(2,3,-t2.get(1,0)+t2.get(0,1));
+
+ temp.set(1,0,-temp.get(0,1));
+ temp.set(2,0,-temp.get(0,2));
+ temp.set(3,0,-temp.get(0,3));
+
+ temp.set(2,1,-temp.get(1,2));
+ temp.set(3,1,-temp.get(1,3));
+
+ temp.set(3,2,-temp.get(2,3));
+
+ return temp;
+
+}
+
+
+EvtTensor4C conj(const EvtTensor4C& t2) {
+ EvtTensor4C temp;
+
+ int i,j;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ temp.set(i,j,::conj((t2.get(i,j))));
+ }
+ }
+
+ return temp;
+}
+
+
+EvtTensor4C cont22(const EvtTensor4C& t1,const EvtTensor4C& t2){
+ EvtTensor4C temp;
+
+ int i,j;
+ EvtComplex c;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ c=t1.get(i,0)*t2.get(j,0)-t1.get(i,1)*t2.get(j,1)
+ -t1.get(i,2)*t2.get(j,2)-t1.get(i,3)*t2.get(j,3);
+ temp.set(i,j,c);
+ }
+ }
+
+ return temp;
+}
+
+EvtTensor4C cont11(const EvtTensor4C& t1,const EvtTensor4C& t2){
+ EvtTensor4C temp;
+
+ int i,j;
+ EvtComplex c;
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ c=t1.get(0,i)*t2.get(0,j)-t1.get(1,i)*t2.get(1,j)
+ -t1.get(2,i)*t2.get(2,j)-t1.get(3,i)*t2.get(3,j);
+ temp.set(i,j,c);
+ }
+ }
+
+ return temp;
+}
+
+
+EvtVector4C EvtTensor4C::cont1(const EvtVector4C& v4) const {
+ EvtVector4C temp;
+
+ int i;
+
+ for(i=0;i<4;i++){
+ temp.set(i,t[0][i]*v4.get(0)-t[1][i]*v4.get(1)
+ -t[2][i]*v4.get(2)-t[3][i]*v4.get(3));
+ }
+
+ return temp;
+}
+
+EvtVector4C EvtTensor4C::cont2(const EvtVector4C& v4) const {
+ EvtVector4C temp;
+
+ int i;
+
+ for(i=0;i<4;i++){
+ temp.set(i,t[i][0]*v4.get(0)-t[i][1]*v4.get(1)
+ -t[i][2]*v4.get(2)-t[i][3]*v4.get(3));
+ }
+
+ return temp;
+}
+
+
+EvtVector4C EvtTensor4C::cont1(const EvtVector4R& v4) const {
+ EvtVector4C temp;
+
+ int i;
+
+ for(i=0;i<4;i++){
+ temp.set(i,t[0][i]*v4.get(0)-t[1][i]*v4.get(1)
+ -t[2][i]*v4.get(2)-t[3][i]*v4.get(3));
+ }
+
+ return temp;
+}
+
+
+EvtVector4C EvtTensor4C::cont2(const EvtVector4R& v4) const {
+ EvtVector4C temp;
+
+ int i;
+
+ for(i=0;i<4;i++){
+ temp.set(i,t[i][0]*v4.get(0)-t[i][1]*v4.get(1)
+ -t[i][2]*v4.get(2)-t[i][3]*v4.get(3));
+ }
+
+ return temp;
+}
+
+
+
+void EvtTensor4C::applyRotateEuler(double phi,double theta,double ksi){
+
+ EvtComplex tt[4][4];
+ double sp,st,sk,cp,ct,ck;
+ double lambda[4][4];
+
+ sp=sin(phi);
+ st=sin(theta);
+ sk=sin(ksi);
+ cp=cos(phi);
+ ct=cos(theta);
+ ck=cos(ksi);
+
+
+ lambda[0][0]=1.0;
+ lambda[0][1]=0.0;
+ lambda[1][0]=0.0;
+ lambda[0][2]=0.0;
+ lambda[2][0]=0.0;
+ lambda[0][3]=0.0;
+ lambda[3][0]=0.0;
+
+ lambda[1][1]= ck*ct*cp-sk*sp;
+ lambda[1][2]=-sk*ct*cp-ck*sp;
+ lambda[1][3]=st*cp;
+
+ lambda[2][1]= ck*ct*sp+sk*cp;
+ lambda[2][2]=-sk*ct*sp+ck*cp;
+ lambda[2][3]=st*sp;
+
+ lambda[3][1]=-ck*st;
+ lambda[3][2]=sk*st;
+ lambda[3][3]=ct;
+
+
+ int i,j,k;
+
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ tt[i][j] = EvtComplex(0.0);
+ for(k=0;k<4;k++){
+ tt[i][j]+=lambda[j][k]*t[i][k];
+ }
+ }
+ }
+
+ for(i=0;i<4;i++){
+ for(j=0;j<4;j++){
+ t[i][j] = EvtComplex(0.0);
+ for(k=0;k<4;k++){
+ t[i][j]+=lambda[i][k]*tt[k][j];
+ }
+ }
+ }
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTensor4C.hh
+//
+// Description: Class to handle complex tensor manipulation
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EvtTensor4C_HH
+#define EvtTensor4C_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+
+//Class to handle 4D complex valued tensors.
+class EvtTensor4C;
+class EvtVector4C;
+class EvtVector4R;
+class EvtVector3R;
+
+EvtTensor4C directProd(const EvtVector4C& c1,const EvtVector4C& c2);
+EvtTensor4C directProd(const EvtVector4C& c1,const EvtVector4R& c2);
+EvtTensor4C directProd(const EvtVector4R& c1,const EvtVector4R& c2);
+EvtTensor4C dual(const EvtTensor4C& t2);
+
+class EvtTensor4C {
+
+ friend EvtTensor4C rotateEuler(const EvtTensor4C& e,
+ double alpha,double beta,double gamma);
+ friend EvtTensor4C boostTo(const EvtTensor4C& e,
+ const EvtVector4R p4);
+ friend EvtTensor4C boostTo(const EvtTensor4C& e,
+ const EvtVector3R boost);
+ friend EvtTensor4C directProd(const EvtVector4C& c1,const EvtVector4C& c2);
+ friend EvtTensor4C directProd(const EvtVector4C& c1,const EvtVector4R& c2);
+ friend EvtTensor4C directProd(const EvtVector4R& c1,const EvtVector4R& c2);
+ friend EvtTensor4C dual(const EvtTensor4C& t2);
+ friend EvtTensor4C conj(const EvtTensor4C& t2);
+ friend EvtTensor4C cont22(const EvtTensor4C& t1,const EvtTensor4C& t2);
+ friend EvtTensor4C cont11(const EvtTensor4C& t1,const EvtTensor4C& t2);
+ friend EvtTensor4C operator*(const EvtTensor4C& t1,const EvtComplex& c);
+ friend EvtTensor4C operator*(const EvtComplex& c,const EvtTensor4C& t1);
+ friend EvtTensor4C operator*(const EvtTensor4C& t1,double d);
+ friend EvtTensor4C operator*(double d,const EvtTensor4C& t1);
+ friend EvtComplex cont(const EvtTensor4C& t1,const EvtTensor4C& t2);
+ friend EvtTensor4C operator+(const EvtTensor4C& t1,const EvtTensor4C& t2);
+ friend EvtTensor4C operator-(const EvtTensor4C& t1,const EvtTensor4C& t2);
+
+public:
+
+ EvtTensor4C() {;}
+
+ EvtTensor4C(double t00,double t11,double t22, double t33) { setdiag(t00,t11,t22,t33);}
+
+
+ EvtTensor4C(const EvtTensor4C& t1 );
+ virtual ~EvtTensor4C();
+ EvtTensor4C& operator=(const EvtTensor4C& t1);
+ EvtTensor4C& operator*=(const EvtComplex& c);
+ EvtTensor4C& operator*=(double d);
+ EvtTensor4C& addDirProd(const EvtVector4R& p1,const EvtVector4R& p2);
+ static const EvtTensor4C& g();
+ inline void set(int i,int j,const EvtComplex& c);
+ void setdiag(double t00,double t11,double t22, double t33);
+ inline const EvtComplex& get(int i, int j) const;
+ inline EvtComplex trace() const;
+ void zero();
+ void applyRotateEuler(double alpha,double beta,double gamma);
+ void applyBoostTo(const EvtVector4R& p4);
+ void applyBoostTo(const EvtVector3R& boost);
+ friend std::ostream& operator<<(std::ostream& s, const EvtTensor4C& t);
+ EvtTensor4C& operator+=(const EvtTensor4C& t2);
+ EvtTensor4C& operator-=(const EvtTensor4C& t2);
+ EvtTensor4C conj() const;
+ EvtVector4C cont1(const EvtVector4C& v4) const;
+ EvtVector4C cont2(const EvtVector4C& v4) const;
+ EvtVector4C cont1(const EvtVector4R& v4) const;
+ EvtVector4C cont2(const EvtVector4R& v4) const;
+
+
+private:
+
+ EvtComplex t[4][4];
+
+};
+
+inline EvtTensor4C operator+(const EvtTensor4C& t1,const EvtTensor4C& t2){
+
+ return EvtTensor4C(t1)+=t2;
+}
+
+inline EvtTensor4C operator-(const EvtTensor4C& t1,const EvtTensor4C& t2){
+
+ return EvtTensor4C(t1)-=t2;
+}
+
+inline void EvtTensor4C::set(int i,int j,const EvtComplex& c){
+ t[i][j]=c;
+}
+
+inline const EvtComplex& EvtTensor4C::get(int i,int j) const{
+ return t[i][j];
+}
+
+inline EvtComplex EvtTensor4C::trace() const{
+ return t[0][0]-t[1][1]-t[2][2]-t[3][3];
+}
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTensorParticle.cc
+//
+// Description: Class to describe spin 2 particles.
+//
+// Modification history:
+//
+// DJL/RYD September 25,1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensorParticle.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+EvtTensorParticle::~EvtTensorParticle(){}
+
+void EvtTensorParticle::init(EvtId part_n,const EvtVector4R& p4){
+
+ init(part_n,p4.get(0),p4.get(1)
+ ,p4.get(2),p4.get(3));
+
+ setLifetime();
+
+
+}
+
+void EvtTensorParticle::init(EvtId part_n,double e,double px,double py,double pz){
+
+ _validP4=true;
+ setp(e,px,py,pz);
+ setpart_num(part_n);
+
+ eps[0].setdiag(0.0,-1.0/sqrt(6.0),-1.0/sqrt(6.0),
+ 2.0/sqrt(6.0));
+ eps[1].setdiag(0.0,1.0/sqrt(2.0),-1.0/sqrt(2.0),0.0);
+ eps[2].setdiag(0.0,0.0,0.0,0.0);
+ eps[3].setdiag(0.0,0.0,0.0,0.0);
+ eps[4].setdiag(0.0,0.0,0.0,0.0);
+
+ eps[2].set(1,2,EvtComplex(1.0/sqrt(2.0),0.0));
+ eps[2].set(2,1,EvtComplex(1.0/sqrt(2.0),0.0));
+ eps[3].set(1,3,EvtComplex(1.0/sqrt(2.0),0.0));
+ eps[3].set(3,1,EvtComplex(1.0/sqrt(2.0),0.0));
+ eps[4].set(2,3,EvtComplex(1.0/sqrt(2.0),0.0));
+ eps[4].set(3,2,EvtComplex(1.0/sqrt(2.0),0.0));
+
+ setLifetime();
+
+}
+
+
+void EvtTensorParticle::init(EvtId part_n,const EvtVector4R& p4,
+ const EvtTensor4C& epsin1,
+ const EvtTensor4C& epsin2,
+ const EvtTensor4C& epsin3,
+ const EvtTensor4C& epsin4,
+ const EvtTensor4C& epsin5){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(part_n);
+
+ eps[0]=epsin1;
+ eps[1]=epsin2;
+ eps[2]=epsin3;
+ eps[3]=epsin4;
+ eps[4]=epsin5;
+
+ setLifetime();
+
+}
+
+
+
+EvtTensor4C EvtTensorParticle::epsTensorParent(int i) const {
+
+ EvtTensor4C temp=eps[i];
+
+ temp.applyBoostTo(this->getP4());
+ return temp;
+
+} //epsParent
+
+
+EvtTensor4C EvtTensorParticle::epsTensor(int i) const {
+
+ return eps[i];
+
+} //eps
+
+
+
+EvtSpinDensity EvtTensorParticle::rotateToHelicityBasis() const{
+
+
+ static EvtVector4C eplus(0.0,-1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ static EvtVector4C ezero(0.0,0.0,0.0,1.0);
+ static EvtVector4C eminus(0.0,1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ static EvtTensor4C dPpp(directProd(eplus,eplus));
+ static EvtTensor4C dPp0(directProd(eplus,ezero));
+ static EvtTensor4C dP0p(directProd(ezero,eplus));
+ static EvtTensor4C dPpm(directProd(eplus,eminus));
+ static EvtTensor4C dP00(directProd(ezero,ezero));
+ static EvtTensor4C dPmp(directProd(eminus,eplus));
+ static EvtTensor4C dPmm(directProd(eminus,eminus));
+ static EvtTensor4C dPm0(directProd(eminus,ezero));
+ static EvtTensor4C dP0m(directProd(ezero,eminus));
+
+ static EvtTensor4C es0(conj(dPpp));
+ static EvtTensor4C es1(conj((1/sqrt(2.0))*dPp0 +(1/sqrt(2.0))*dP0p));
+ static EvtTensor4C es2(conj((1/sqrt(6.0))*dPpm +(2/sqrt(6.0))*dP00 +(1/sqrt(6.0))*dPmp));
+ static EvtTensor4C es3(conj((1/sqrt(2.0))*dPm0 +(1/sqrt(2.0))*dP0m));
+ static EvtTensor4C es4(conj(dPmm));
+
+
+ EvtSpinDensity R;
+ R.setDim(5);
+
+ for (int j=0; j<5; j++) {
+ R.set(0,j,cont(es0,eps[j]));
+ R.set(1,j,cont(es1,eps[j]));
+ R.set(2,j,cont(es2,eps[j]));
+ R.set(3,j,cont(es3,eps[j]));
+ R.set(4,j,cont(es4,eps[j]));
+ }
+ return R;
+
+}
+
+
+EvtSpinDensity EvtTensorParticle::rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const{
+
+ EvtTensor4C es[5];
+
+ static EvtVector4C eplus(0.0,-1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ static EvtVector4C ezero(0.0,0.0,0.0,1.0);
+ static EvtVector4C eminus(0.0,1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ eplus.applyRotateEuler(alpha,beta,gamma);
+ ezero.applyRotateEuler(alpha,beta,gamma);
+ eminus.applyRotateEuler(alpha,beta,gamma);
+
+ for (int i=0; i<5; i++) es[i].zero();
+
+ es[0]=directProd(eplus,eplus);
+ es[1] =(1/sqrt(2.0))*directProd(eplus,ezero)
+ +(1/sqrt(2.0))*directProd(ezero,eplus);
+ es[2] =(1/sqrt(6.0))*directProd(eplus,eminus)
+ +(2/sqrt(6.0))*directProd(ezero,ezero)
+ +(1/sqrt(6.0))*directProd(eminus,eplus);
+ es[3] =(1/sqrt(2.0))*directProd(eminus,ezero)
+ +(1/sqrt(2.0))*directProd(ezero,eminus);
+ es[4]=directProd(eminus,eminus);
+
+ for (int i=0; i<5; i++) es[i]=conj(es[i]);
+
+ EvtSpinDensity R;
+ R.setDim(5);
+
+ for (int i=0; i<5; i++)
+ for (int j=0; j<5; j++)
+ R.set(i,j,cont(es[i],eps[j]));
+
+ return R;
+
+}
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTensorParticle.hh
+//
+// Description: Class to describe tensor ( spin 2 ) particles.
+//
+// Modification history:
+//
+// DJL/RYD Sept. 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTENSORPARTICLE_HH
+#define EVTTENSORPARTICLE_HH
+
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtTensorParticle: public EvtParticle {
+
+public:
+
+ EvtTensorParticle() {}
+ virtual ~EvtTensorParticle();
+
+ void init(EvtId part_n,double e,double px,double py,double pz);
+ void init(EvtId part_n,const EvtVector4R& p4);
+ void init(EvtId part_n,const EvtVector4R& p4,
+ const EvtTensor4C&,const EvtTensor4C&,const EvtTensor4C&,
+ const EvtTensor4C&,const EvtTensor4C&);
+ //Returns polarization tensors.
+ EvtTensor4C epsTensorParent(int i) const;
+ EvtTensor4C epsTensor(int i) const;
+
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+
+private:
+
+ EvtTensor4C eps[5];//eps1,eps2,eps3,eps4,eps5;
+
+ EvtTensorParticle(const EvtTensorParticle& tensor);
+ EvtTensorParticle& operator=(const EvtTensorParticle& tensor);
+
+};
+
+#endif
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtTwoBodyKine.cc,v 1.8 2004/12/21 19:58:50 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <iostream>
+#include <assert.h>
+#include <math.h>
+#include "EvtGenBase/EvtTwoBodyKine.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+using std::ostream;
+
+
+EvtTwoBodyKine::EvtTwoBodyKine()
+ : _mA(0.), _mB(0.), _mAB(0.)
+{}
+
+EvtTwoBodyKine::EvtTwoBodyKine(double mA, double mB, double mAB)
+ : _mA(mA), _mB(mB), _mAB(mAB)
+{
+ if(mAB < mA + mB) {
+
+ report(INFO,"EvtGen") << mAB << " < " << mA << " + " << mB << endl;
+ assert(0);
+ }
+}
+
+EvtTwoBodyKine::EvtTwoBodyKine(const EvtTwoBodyKine& other)
+ : _mA(other._mA), _mB(other._mB), _mAB(other._mAB)
+{}
+
+EvtTwoBodyKine::~EvtTwoBodyKine()
+{}
+
+
+double EvtTwoBodyKine::m(Index i) const
+{
+ double ret = _mAB;
+ if(A == i) ret = _mA;
+ else
+ if(B == i) ret = _mB;
+
+ return ret;
+}
+
+
+double EvtTwoBodyKine::p(Index i) const
+{
+ double p0 = 0.;
+
+ if(i == AB) {
+
+ double x = _mAB*_mAB - _mA*_mA - _mB*_mB;
+ double y = 2*_mA*_mB;
+ p0 = sqrt(x*x - y*y)/2./_mAB;
+ }
+ else
+ if(i == A) {
+
+ double x = _mA*_mA - _mAB*_mAB - _mB*_mB;
+ double y = 2*_mAB*_mB;
+ p0 = sqrt(x*x - y*y)/2./_mA;
+ }
+ else {
+
+ double x = _mB*_mB - _mAB*_mAB - _mA*_mA;
+ double y = 2*_mAB*_mA;
+ p0 = sqrt(x*x - y*y)/2./_mB;
+ }
+
+ return p0;
+}
+
+
+double EvtTwoBodyKine::e(Index i, Index j) const
+{
+ double ret = m(i);
+ if(i != j) {
+
+ double pD = p(j);
+ ret = sqrt(ret*ret + pD*pD);
+ }
+ return ret;
+}
+
+
+void EvtTwoBodyKine::print(ostream& os) const
+{
+ os << " mA = " << _mA << endl;
+ os << " mB = " << _mB << endl;
+ os << "mAB = " << _mAB << endl;
+}
+
+
+ostream& operator<<(ostream& os, const EvtTwoBodyKine& p)
+{
+ p.print(os);
+ return os;
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtTwoBodyKine.hh,v 1.6 2004/08/06 06:08:26 bartoldu Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Descriptions of the kinematics of a two-body decay.
+
+#ifndef EVT_TWO_BODY_KINE_HH
+#define EVT_TWO_BODY_KINE_HH
+
+#include <iostream>
+
+class EvtTwoBodyKine {
+
+public:
+
+ enum Index {A,B,AB};
+
+ EvtTwoBodyKine();
+ EvtTwoBodyKine(double mA, double mB, double mAB);
+ EvtTwoBodyKine(const EvtTwoBodyKine& other);
+ ~EvtTwoBodyKine();
+
+ // Accessors
+
+ inline double mA() const { return _mA; }
+ inline double mB() const { return _mB; }
+ inline double mAB() const { return _mAB; }
+ double m(Index i) const;
+
+ // Momentum of the other two particles in the
+ // rest-frame of particle i.
+
+ double p(Index i = AB) const;
+
+ // Energy of particle i in the rest frame of particle j
+
+ double e(Index i, Index j) const;
+
+ void print(std::ostream& os) const;
+
+private:
+
+ double _mA;
+ double _mB;
+ double _mAB;
+};
+
+std::ostream& operator<<(std::ostream& os, const EvtTwoBodyKine& p);
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtTwoBodyVertex.cc,v 1.6 2004/12/21 19:58:50 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtMacros.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+using std::endl;
+using std::ostream;
+
+
+// Default ctor can sometimes be useful
+
+EvtTwoBodyVertex::EvtTwoBodyVertex()
+ : _LL(0), _p0(0), _f(0)
+{}
+
+EvtTwoBodyVertex::EvtTwoBodyVertex(double mA, double mB, double mAB, int L)
+ : _kine(), _LL(L), _p0(0), _f(0)
+{
+ // Kinematics is initialized only if the decay is above threshold
+
+ if(mAB > mA + mB) {
+
+ _kine = EvtTwoBodyKine(mA,mB,mAB);
+ _p0 = _kine.p();
+ }
+}
+
+
+EvtTwoBodyVertex::EvtTwoBodyVertex(const EvtTwoBodyVertex& other)
+ : _kine(other._kine), _LL(other._LL), _p0(other._p0),
+ _f( (other._f) ? new EvtBlattWeisskopf(*other._f) : 0 )
+{}
+
+EvtTwoBodyVertex::~EvtTwoBodyVertex()
+{
+ if(_f) delete _f;
+}
+
+
+void EvtTwoBodyVertex::set_f(double R)
+{
+ if(_f) delete _f;
+ _f = new EvtBlattWeisskopf(_LL,R,_p0);
+}
+
+
+double EvtTwoBodyVertex::widthFactor(EvtTwoBodyKine x) const
+{
+ assert(_p0 > 0.);
+
+ double p1 = x.p();
+ double ff = formFactor(x);
+ double factor = pow(p1/_p0,2*_LL+1)*mAB()/x.mAB() * ff * ff;
+
+ return factor;
+}
+
+
+double EvtTwoBodyVertex::phaseSpaceFactor(EvtTwoBodyKine x,EvtTwoBodyKine::Index i) const
+{
+ double p1 = x.p(i);
+ double factor = pow(p1,_LL);
+ return factor;
+}
+
+double EvtTwoBodyVertex::formFactor(EvtTwoBodyKine x) const
+{
+ double ff = 1.;
+
+ if(_f) {
+
+ double p1 = x.p();
+ ff = (*_f)(p1);
+ }
+
+ return ff;
+}
+
+void EvtTwoBodyVertex::print(ostream& os) const
+{
+ os << " mA = " << mA() << endl;
+ os << " mB = " << mB() << endl;
+ os << "mAB = " << mAB() << endl;
+ os << " L = " << _LL << endl;
+ os << " p0 = " << _p0 << endl;
+}
+
+
+ostream& operator<<(ostream& os, const EvtTwoBodyVertex& v)
+{
+ v.print(os);
+ return os;
+}
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtTwoBodyVertex.hh,v 1.6 2004/08/06 06:08:26 bartoldu Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Two-body propagator vertex AB->A,B with an attached Blatt-Weisskopf form factor.
+
+#ifndef EVT_TWO_BODY_VERTEX_HH
+#define EVT_TWO_BODY_VERTEX_HH
+
+#include <iostream>
+#include "EvtGenBase/EvtTwoBodyKine.hh"
+#include "EvtGenBase/EvtBlattWeisskopf.hh"
+
+#include <iosfwd>
+
+class EvtTwoBodyVertex {
+
+public:
+
+ EvtTwoBodyVertex();
+ EvtTwoBodyVertex(double mA, double mB, double mAB, int L);
+ EvtTwoBodyVertex(const EvtTwoBodyVertex& other);
+ ~EvtTwoBodyVertex();
+
+ double widthFactor(EvtTwoBodyKine x) const;
+ double formFactor(EvtTwoBodyKine x) const;
+ double phaseSpaceFactor(EvtTwoBodyKine x, EvtTwoBodyKine::Index) const;
+
+ inline int L() const { return _LL; }
+ inline double mA() const { return _kine.mA(); }
+ inline double mB() const { return _kine.mB(); }
+ inline double mAB() const { return _kine.mAB(); }
+ inline double pD() const { return _p0; }
+ void print(std::ostream& os) const;
+
+ void set_f(double R);
+
+private:
+
+ EvtTwoBodyKine _kine;
+ int _LL;
+ double _p0;
+ EvtBlattWeisskopf* _f; // optional Blatt-Weisskopf form factor
+
+};
+
+std::ostream& operator<<(std::ostream& os, const EvtTwoBodyVertex& v);
+
+#endif
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtValError.cc,v 1.7 2004/12/21 19:58:50 ryd Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+#include <assert.h>
+#include <math.h>
+#include <iostream>
+#include "EvtGenBase/EvtValError.hh"
+using std::endl;
+using std::ostream;
+
+EvtValError::EvtValError()
+ : _valKnown(0), _val(0.), _errKnown(0), _err(0.)
+{}
+
+EvtValError::EvtValError(double val)
+ : _valKnown(1), _val(val), _errKnown(0), _err(0.)
+{}
+
+EvtValError::EvtValError(double val, double err)
+ : _valKnown(1), _val(val), _errKnown(1), _err(err)
+{}
+
+EvtValError::EvtValError(const EvtValError& other)
+ : _valKnown(other._valKnown), _val(other._val),
+ _errKnown(other._errKnown), _err(other._err)
+{}
+
+EvtValError::~EvtValError()
+{}
+
+double EvtValError::prec() const
+{
+ assert(_valKnown && _errKnown);
+ return ( _val != 0) ? _err/_val : 0;
+}
+
+void EvtValError::operator=(const EvtValError& other)
+{
+ _valKnown = other._valKnown;
+ _val = other._val;
+ _errKnown = other._errKnown;
+ _err = other._err;
+}
+
+void EvtValError::operator*=(const EvtValError& other)
+{
+ assert(_valKnown && other._valKnown);
+
+ // Relative errors add in quadrature
+ if(_errKnown && other._errKnown)
+ _err = _val * other._val * sqrt(prec()*prec() + other.prec() * other.prec());
+ else _errKnown = 0;
+
+ // Modify the value
+ _val *= other._val;
+}
+
+void EvtValError::operator/=(const EvtValError& other)
+{
+ assert(_valKnown && other._valKnown && other._val != 0.);
+
+ // Relative errors add in quadrature
+ if(_errKnown && other._errKnown)
+ _err = _val/other._val * sqrt(prec()*prec() + other.prec() * other.prec());
+ else _errKnown = 0;
+
+ // Modify the value
+ _val /= other._val;
+}
+
+
+void EvtValError::print(ostream& os) const
+{
+ if(_valKnown) os << _val;
+ else os << "Undef";
+ os << " +/- ";
+ if(_errKnown) os << _err;
+ else os << "Undef";
+ os << endl;
+}
+
+
+void EvtValError::operator+=(const EvtValError& other)
+{
+ assert(_valKnown); assert(other._valKnown);
+ _val += other._val;
+
+ // add errors in quadrature
+
+ if(_errKnown && other._errKnown) {
+
+ _err = sqrt(_err*_err + other._err*other._err);
+ }
+ else {
+
+ _errKnown = 0;
+ }
+}
+
+void EvtValError::operator*=(double c) {
+
+ assert(_valKnown);
+ _val *= c;
+ if(_errKnown) _err*=c;
+}
+
+
+EvtValError operator*(const EvtValError& x1, const EvtValError& x2)
+{
+ EvtValError ret(x1);
+ ret *= x2;
+ return ret;
+}
+
+EvtValError operator/(const EvtValError& x1, const EvtValError& x2)
+{
+ EvtValError ret(x1);
+ ret /= x2;
+ return ret;
+}
+
+
+EvtValError operator+(const EvtValError& x1, const EvtValError& x2)
+{
+ EvtValError ret(x1);
+ ret += x2;
+ return ret;
+}
+
+
+EvtValError operator*(const EvtValError& x,double c)
+{
+ EvtValError ret(x);
+ ret*=c;
+ return ret;
+}
+
+
+EvtValError operator*(double c,const EvtValError& x)
+{
+ EvtValError ret(x);
+ ret*=c;
+ return ret;
+}
+
+
+ostream& operator<<(ostream& os, const EvtValError& other)
+{
+ other.print(os);
+ return os;
+}
+
+
--- /dev/null
+/*******************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenBase
+ * File: $Id: EvtValError.hh,v 1.6 2004/08/06 06:08:26 bartoldu Exp $
+ * Author: Alexei Dvoretskii, dvoretsk@slac.stanford.edu, 2001-2002
+ *
+ * Copyright (C) 2002 Caltech
+ *******************************************************************************/
+
+// Value and its associated error. E.g. this could be interval size and
+// the error associated with numerical integration.
+
+#ifndef EVT_VAL_ERROR_HH
+#define EVT_VAL_ERROR_HH
+
+#include <iostream>
+#include <assert.h>
+#include <math.h>
+
+class EvtValError {
+
+public:
+
+ EvtValError();
+ EvtValError(double val);
+ EvtValError(double val, double err);
+ EvtValError(const EvtValError& other);
+ ~EvtValError();
+
+ inline int valueKnown() const { return _valKnown; }
+ inline double value() const { assert(_valKnown); return _val; }
+ inline int errorKnown() const { return _errKnown; }
+ inline double error() const { assert(_errKnown); return _err; }
+
+ double prec() const;
+ void operator=(const EvtValError& other);
+ void operator*=(const EvtValError& other);
+ void operator/=(const EvtValError& other);
+ void operator+=(const EvtValError& other);
+ void operator*=(double c);
+
+ void print(std::ostream&) const;
+
+private:
+
+ int _valKnown;
+ double _val;
+ int _errKnown;
+ double _err;
+
+};
+
+
+EvtValError operator*(const EvtValError& x1, const EvtValError& x2);
+EvtValError operator/(const EvtValError& x1, const EvtValError& x2);
+EvtValError operator+(const EvtValError& x1, const EvtValError& x2);
+EvtValError operator*(const EvtValError& x,double c);
+EvtValError operator*(double c,const EvtValError& x);
+
+std::ostream& operator<<(std::ostream&, const EvtValError&);
+
+// Perform an accept/reject fraction count
+
+template <class InputIterator, class Predicate>
+EvtValError accept_reject(InputIterator it, InputIterator end, Predicate pred)
+{
+ int itsTried = 0;
+ int itsPassed = 0;
+ while(it != end) {
+
+ itsTried++;
+ if(pred(*it++)) itsPassed++;
+ }
+
+ return EvtValError(((double) itsPassed)/((double) itsTried),sqrt(itsPassed)/((double) itsTried));
+}
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVector3C.cc
+//
+// Description: Complex 3 vectors.
+//
+// Modification history:
+//
+// RYD September 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector3C.hh"
+using std::ostream;
+
+
+
+
+EvtVector3C::EvtVector3C(){
+
+ v[0]=EvtComplex(0.0); v[1]=EvtComplex(0.0); v[2]=EvtComplex(0.0);
+}
+
+EvtVector3C::~EvtVector3C(){
+
+ return;
+}
+
+
+EvtVector3C::EvtVector3C(const EvtComplex& e1,const EvtComplex& e2,const EvtComplex& e3){
+
+ v[0]=e1; v[1]=e2; v[2]=e3;
+}
+
+
+EvtVector3C EvtVector3C::cross( const EvtVector3C& p2 ){
+
+ //Calcs the cross product. Added by djl on July 27, 1995.
+
+ EvtVector3C temp;
+
+ temp.v[0] = v[1]*p2.v[2] - v[2]*p2.v[1];
+ temp.v[1] = v[2]*p2.v[0] - v[0]*p2.v[2];
+ temp.v[2] = v[0]*p2.v[1] - v[1]*p2.v[0];
+
+ return temp;
+}
+
+EvtVector3C rotateEuler(const EvtVector3C& v,
+ double alpha,double beta,double gamma){
+
+ EvtVector3C tmp(v);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+
+void EvtVector3C::applyRotateEuler(double phi,double theta,double ksi){
+
+ EvtComplex temp[3];
+ double sp,st,sk,cp,ct,ck;
+
+ sp=sin(phi);
+ st=sin(theta);
+ sk=sin(ksi);
+ cp=cos(phi);
+ ct=cos(theta);
+ ck=cos(ksi);
+
+ temp[0]=( ck*ct*cp-sk*sp)*v[0]+( -sk*ct*cp-ck*sp)*v[1]+st*cp*v[2];
+ temp[1]=( ck*ct*sp+sk*cp)*v[0]+(-sk*ct*sp+ck*cp)*v[1]+st*sp*v[2];
+ temp[2]=-ck*st*v[0]+sk*st*v[1]+ct*v[2];
+
+
+ v[0]=temp[0];
+ v[1]=temp[1];
+ v[2]=temp[2];
+}
+
+
+
+ostream& operator<<(ostream& s,const EvtVector3C& v){
+
+ s<<"("<<v.v[0]<<","<<v.v[1]<<","<<v.v[2]<<")";
+
+ return s;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVector3C.hh
+//
+// Description: Class for complex 3 vectors
+//
+// Modification history:
+//
+// RYD September 6, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVECTOR3C_N
+#define EVTVECTOR3C_N
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector3R.hh"
+#include <iosfwd>
+
+class EvtVector3C {
+
+ friend EvtVector3C rotateEuler(const EvtVector3C& v,
+ double phi,double theta,double ksi);
+
+ inline friend EvtVector3C operator*(const EvtComplex& c,const EvtVector3C& v2);
+ inline friend EvtVector3C operator*(const EvtComplex& c,const EvtVector3R& v2);
+ inline friend EvtComplex operator*(const EvtVector3R& v1,const EvtVector3C& v2);
+ inline friend EvtComplex operator*(const EvtVector3C& v1,const EvtVector3R& v2);
+ inline friend EvtComplex operator*(const EvtVector3C& v1,const EvtVector3C& v2);
+ inline friend EvtVector3C operator+(const EvtVector3C& v1,const EvtVector3C& v2);
+ inline friend EvtVector3C operator-(const EvtVector3C& v1,const EvtVector3C& v2);
+ inline friend EvtVector3C operator*(const EvtVector3C& v1,const EvtComplex& c);
+
+
+public:
+
+ EvtVector3C();
+ EvtVector3C(const EvtComplex&,const EvtComplex&,const EvtComplex&);
+ virtual ~EvtVector3C();
+ inline void set(const int,const EvtComplex&);
+ inline void set(const EvtComplex&,const EvtComplex&,const EvtComplex&);
+ inline void set(double,double,double);
+ inline EvtVector3C& operator*=(const EvtComplex& c);
+ inline EvtVector3C& operator/=(const EvtComplex& c);
+ inline EvtVector3C& operator+=(const EvtVector3C& v2);
+ inline EvtVector3C& operator-=(const EvtVector3C& v2);
+ inline EvtVector3C(const EvtVector3R& v1);
+ void applyRotateEuler(double phi,double theta,double ksi);
+ inline const EvtComplex& get(int) const;
+ inline EvtVector3C conj() const;
+ EvtVector3C cross(const EvtVector3C& v2);
+ friend std::ostream& operator<<(std::ostream& c,const EvtVector3C& v);
+ double dot( const EvtVector3C& p2 );
+private:
+
+ EvtComplex v[3];
+};
+
+inline EvtVector3C::EvtVector3C(const EvtVector3R& v1){
+
+ v[0]=EvtComplex(v1.get(0),0.0);
+ v[1]=EvtComplex(v1.get(1),0.0);
+ v[2]=EvtComplex(v1.get(2),0.0);
+
+}
+
+inline void EvtVector3C::set(const int i,const EvtComplex& c){
+
+ v[i]=c;
+
+}
+
+inline void EvtVector3C::set(const EvtComplex& x,const EvtComplex& y,
+ const EvtComplex& z){
+
+ v[0]=x; v[1]=y; v[2]=z;
+}
+
+inline void EvtVector3C::set(double x,
+ double y,double z){
+
+ v[0]=EvtComplex(x); v[1]=EvtComplex(y); v[2]=EvtComplex(z);
+}
+
+inline const EvtComplex& EvtVector3C::get(int i) const {
+
+ return v[i];
+}
+
+inline EvtVector3C& EvtVector3C::operator*=(const EvtComplex& c){
+
+ v[0]*=c;
+ v[1]*=c;
+ v[2]*=c;
+ return *this;
+}
+
+inline EvtVector3C& EvtVector3C::operator/=(const EvtComplex& c){
+
+ v[0]/=c;
+ v[1]/=c;
+ v[2]/=c;
+ return *this;
+}
+
+inline EvtVector3C& EvtVector3C::operator+=(const EvtVector3C& v2){
+
+ v[0]+=v2.v[0];
+ v[1]+=v2.v[1];
+ v[2]+=v2.v[2];
+ return *this;
+}
+
+inline EvtVector3C& EvtVector3C::operator-=(const EvtVector3C& v2){
+
+ v[0]-=v2.v[0];
+ v[1]-=v2.v[1];
+ v[2]-=v2.v[2];
+ return *this;
+}
+
+inline EvtVector3C operator+(const EvtVector3C& v1,const EvtVector3C& v2) {
+
+ return EvtVector3C(v1)+=v2;
+}
+
+inline EvtVector3C operator-(const EvtVector3C& v1,const EvtVector3C& v2) {
+
+ return EvtVector3C(v1)-=v2;
+}
+
+inline EvtVector3C operator*(const EvtVector3C& v1,const EvtComplex& c) {
+
+ return EvtVector3C(v1)*=c;
+}
+
+inline EvtVector3C operator*(const EvtComplex& c,const EvtVector3C& v2){
+
+ return EvtVector3C(v2)*=c;
+}
+
+inline EvtVector3C operator*(const EvtComplex& c,const EvtVector3R& v2){
+
+ return EvtVector3C(v2)*=c;
+}
+
+inline EvtComplex operator*(const EvtVector3R& v1,const EvtVector3C& v2){
+
+ return v1.get(0)*v2.v[0]+v1.get(1)*v2.v[1]+v1.get(2)*v2.v[2];
+}
+
+inline EvtComplex operator*(const EvtVector3C& v1,const EvtVector3R& v2){
+
+ return v1.v[0]*v2.get(0)+v1.v[1]*v2.get(1)+v1.v[2]*v2.get(2);
+}
+
+inline EvtComplex operator*(const EvtVector3C& v1,const EvtVector3C& v2){
+
+ return v1.v[0]*v2.v[0]+v1.v[1]*v2.v[1]+v1.v[2]*v2.v[2];
+}
+
+inline EvtVector3C EvtVector3C::conj() const {
+
+ return EvtVector3C(::conj(v[0]),::conj(v[1]),
+ ::conj(v[2]));
+}
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVector3R.cc
+//
+// Description: Real implementation of 3-vectors
+//
+// Modification history:
+//
+// RYD September 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtVector3R.hh"
+using std::ostream;
+
+
+
+EvtVector3R::~EvtVector3R(){}
+
+EvtVector3R::EvtVector3R(){
+
+ v[0]=v[1]=v[2]=0.0;
+}
+
+
+EvtVector3R::EvtVector3R(double x,double y, double z){
+
+ v[0]=x; v[1]=y; v[2]=z;
+}
+
+EvtVector3R rotateEuler(const EvtVector3R& v,
+ double alpha,double beta,double gamma){
+
+ EvtVector3R tmp(v);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+
+void EvtVector3R::applyRotateEuler(double phi,double theta,double ksi){
+
+ double temp[3];
+ double sp,st,sk,cp,ct,ck;
+
+ sp=sin(phi);
+ st=sin(theta);
+ sk=sin(ksi);
+ cp=cos(phi);
+ ct=cos(theta);
+ ck=cos(ksi);
+
+ temp[0]=( ck*ct*cp-sk*sp)*v[0]+( -sk*ct*cp-ck*sp)*v[1]+st*cp*v[2];
+ temp[1]=( ck*ct*sp+sk*cp)*v[0]+(-sk*ct*sp+ck*cp)*v[1]+st*sp*v[2];
+ temp[2]=-ck*st*v[0]+sk*st*v[1]+ct*v[2];
+
+
+ v[0]=temp[0];
+ v[1]=temp[1];
+ v[2]=temp[2];
+}
+
+ostream& operator<<(ostream& s,const EvtVector3R& v){
+
+ s<<"("<<v.v[0]<<","<<v.v[1]<<","<<v.v[2]<<")";
+
+ return s;
+
+}
+
+
+EvtVector3R cross( const EvtVector3R& p1,const EvtVector3R& p2 ){
+
+ //Calcs the cross product. Added by djl on July 27, 1995.
+ //Modified for real vectros by ryd Aug 28-96
+
+ return EvtVector3R(p1.v[1]*p2.v[2] - p1.v[2]*p2.v[1],
+ p1.v[2]*p2.v[0] - p1.v[0]*p2.v[2],
+ p1.v[0]*p2.v[1] - p1.v[1]*p2.v[0]);
+
+}
+
+double EvtVector3R::d3mag() const
+
+// returns the 3 momentum mag.
+{
+ double temp;
+
+ temp = v[0]*v[0]+v[1]*v[1]+v[2]*v[2];
+ temp = sqrt( temp );
+
+ return temp;
+} // r3mag
+
+double EvtVector3R::dot ( const EvtVector3R& p2 ){
+
+ double temp;
+
+ temp = v[0]*p2.v[0];
+ temp += v[0]*p2.v[0];
+ temp += v[0]*p2.v[0];
+
+ return temp;
+} //dot
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVector3R.hh
+//
+// Description: Class to describe real 3 vectors
+//
+// Modification history:
+//
+// RYD Sept. 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVECTOR3R_HH
+#define EVTVECTOR3R_HH
+
+#include <iosfwd>
+
+class EvtVector3R {
+
+ friend EvtVector3R rotateEuler(const EvtVector3R& v,
+ double phi,double theta,double ksi);
+
+ inline friend EvtVector3R operator*(double c,const EvtVector3R& v2);
+ inline friend double operator*(const EvtVector3R& v1,const EvtVector3R& v2);
+ inline friend EvtVector3R operator+(const EvtVector3R& v1,const EvtVector3R& v2);
+ inline friend EvtVector3R operator-(const EvtVector3R& v1,const EvtVector3R& v2);
+ inline friend EvtVector3R operator*(const EvtVector3R& v1,double c);
+ inline friend EvtVector3R operator/(const EvtVector3R& v1,double c);
+ friend EvtVector3R cross(const EvtVector3R& v1,const EvtVector3R& v2);
+
+public:
+ EvtVector3R();
+ EvtVector3R(double x,double y ,double z);
+ virtual ~EvtVector3R();
+ inline EvtVector3R& operator*=(const double c);
+ inline EvtVector3R& operator/=(const double c);
+ inline EvtVector3R& operator+=(const EvtVector3R& v2);
+ inline EvtVector3R& operator-=(const EvtVector3R& v2);
+ inline void set(int i,double d);
+ inline void set(double x,double y ,double z);
+ void applyRotateEuler(double phi,double theta,double ksi);
+ inline double get(int i) const;
+ friend std::ostream& operator<<(std::ostream& s,const EvtVector3R& v);
+ double dot(const EvtVector3R& v2);
+ double d3mag() const;
+
+private:
+
+ double v[3];
+
+};
+
+inline EvtVector3R& EvtVector3R::operator*=(const double c){
+
+ v[0]*=c;
+ v[1]*=c;
+ v[2]*=c;
+ return *this;
+}
+
+inline EvtVector3R& EvtVector3R::operator/=(const double c){
+
+ v[0]/=c;
+ v[1]/=c;
+ v[2]/=c;
+ return *this;
+}
+
+inline EvtVector3R& EvtVector3R::operator+=(const EvtVector3R& v2){
+
+ v[0]+=v2.v[0];
+ v[1]+=v2.v[1];
+ v[2]+=v2.v[2];
+ return *this;
+}
+
+inline EvtVector3R& EvtVector3R::operator-=(const EvtVector3R& v2){
+
+ v[0]-=v2.v[0];
+ v[1]-=v2.v[1];
+ v[2]-=v2.v[2];
+ return *this;
+}
+
+inline EvtVector3R operator*(double c,const EvtVector3R& v2){
+
+ return EvtVector3R(v2)*=c;
+}
+
+inline EvtVector3R operator*(const EvtVector3R& v1,double c){
+
+ return EvtVector3R(v1)*=c;
+}
+
+inline EvtVector3R operator/(const EvtVector3R& v1,double c){
+
+ return EvtVector3R(v1)/=c;
+}
+
+inline double operator*(const EvtVector3R& v1,const EvtVector3R& v2){
+
+ return v1.v[0]*v2.v[0]+v1.v[1]*v2.v[1]+v1.v[2]*v2.v[2];
+}
+
+inline EvtVector3R operator+(const EvtVector3R& v1,const EvtVector3R& v2) {
+
+ return EvtVector3R(v1)+=v2;
+}
+
+inline EvtVector3R operator-(const EvtVector3R& v1,const EvtVector3R& v2) {
+
+ return EvtVector3R(v1)-=v2;
+
+}
+
+inline double EvtVector3R::get(int i) const {
+ return v[i];
+}
+
+inline void EvtVector3R::set(int i,double d){
+
+ v[i]=d;
+}
+
+inline void EvtVector3R::set(double x,double y, double z){
+
+ v[0]=x;
+ v[1]=y;
+ v[2]=z;
+}
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVector4C.cc
+//
+// Description: EvtComplex implemention of 4 - vectors
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+using std::ostream;
+
+
+EvtVector4C::EvtVector4C(){
+
+ v[0]=EvtComplex(0.0); v[1]=EvtComplex(0.0);
+ v[2]=EvtComplex(0.0); v[3]=EvtComplex(0.0);
+
+}
+
+EvtVector4C::~EvtVector4C(){}
+
+EvtVector4C::EvtVector4C(const EvtComplex& e0,const EvtComplex& e1,
+ const EvtComplex& e2,const EvtComplex& e3){
+
+ v[0]=e0; v[1]=e1; v[2]=e2; v[3]=e3;
+}
+
+
+EvtVector4C rotateEuler(const EvtVector4C& rs,
+ double alpha,double beta,double gamma){
+
+ EvtVector4C tmp(rs);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+EvtVector4C boostTo(const EvtVector4C& rs,
+ const EvtVector4R p4){
+
+ EvtVector4C tmp(rs);
+ tmp.applyBoostTo(p4);
+ return tmp;
+
+}
+
+EvtVector4C boostTo(const EvtVector4C& rs,
+ const EvtVector3R boost){
+
+ EvtVector4C tmp(rs);
+ tmp.applyBoostTo(boost);
+ return tmp;
+
+}
+
+void EvtVector4C::applyBoostTo(const EvtVector4R& p4){
+
+ double e=p4.get(0);
+
+ EvtVector3R boost(p4.get(1)/e,p4.get(2)/e,p4.get(3)/e);
+
+ applyBoostTo(boost);
+
+ return;
+
+}
+
+void EvtVector4C::applyBoostTo(const EvtVector3R& boost){
+
+ double bx,by,bz,gamma,b2;
+
+ bx=boost.get(0);
+ by=boost.get(1);
+ bz=boost.get(2);
+
+ double bxx=bx*bx;
+ double byy=by*by;
+ double bzz=bz*bz;
+
+ b2=bxx+byy+bzz;
+
+
+ if (b2==0.0){
+ return;
+ }
+
+ assert(b2<1.0);
+
+ gamma=1.0/sqrt(1-b2);
+
+
+ double gb2=(gamma-1.0)/b2;
+
+ double gb2xy=gb2*bx*by;
+ double gb2xz=gb2*bx*bz;
+ double gb2yz=gb2*by*bz;
+
+ double gbx=gamma*bx;
+ double gby=gamma*by;
+ double gbz=gamma*bz;
+
+ EvtComplex e2=v[0];
+ EvtComplex px2=v[1];
+ EvtComplex py2=v[2];
+ EvtComplex pz2=v[3];
+
+ v[0]=gamma*e2+gbx*px2+gby*py2+gbz*pz2;
+
+ v[1]=gbx*e2+gb2*bxx*px2+px2+gb2xy*py2+gb2xz*pz2;
+
+ v[2]=gby*e2+gb2*byy*py2+py2+gb2xy*px2+gb2yz*pz2;
+
+ v[3]=gbz*e2+gb2*bzz*pz2+pz2+gb2yz*py2+gb2xz*px2;
+
+ return;
+
+}
+
+void EvtVector4C::applyRotateEuler(double phi,double theta,double ksi){
+
+ double sp=sin(phi);
+ double st=sin(theta);
+ double sk=sin(ksi);
+ double cp=cos(phi);
+ double ct=cos(theta);
+ double ck=cos(ksi);
+
+ EvtComplex x=( ck*ct*cp-sk*sp)*v[1]+( -sk*ct*cp-ck*sp)*v[2]+st*cp*v[3];
+ EvtComplex y=( ck*ct*sp+sk*cp)*v[1]+(-sk*ct*sp+ck*cp)*v[2]+st*sp*v[3];
+ EvtComplex z=-ck*st*v[1]+sk*st*v[2]+ct*v[3];
+
+ v[1]=x;
+ v[2]=y;
+ v[3]=z;
+
+}
+
+
+ostream& operator<<(ostream& s, const EvtVector4C& v){
+
+ s<<"("<<v.v[0]<<","<<v.v[1]<<","<<v.v[2]<<","<<v.v[3]<<")";
+
+ return s;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVector4C.hh
+//
+// Description: Class for complex 4 vectors
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVECTOR4C_HH
+#define EVTVECTOR4C_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector3C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+
+#include <iosfwd>
+
+class EvtVector4C {
+
+ friend EvtVector4C rotateEuler(const EvtVector4C& e,
+ double alpha,double beta,double gamma);
+ friend EvtVector4C boostTo(const EvtVector4C& e,
+ const EvtVector4R p4);
+ friend EvtVector4C boostTo(const EvtVector4C& e,
+ const EvtVector3R boost);
+ inline friend EvtVector4C operator*(double d,const EvtVector4C& v2);
+ inline friend EvtVector4C operator*(const EvtComplex& c,const EvtVector4C& v2);
+ inline friend EvtVector4C operator*(const EvtVector4C& v2,const EvtComplex& c);
+ inline friend EvtVector4C operator*(const EvtComplex& c,const EvtVector4R& v2);
+ inline friend EvtComplex operator*(const EvtVector4R& v1,const EvtVector4C& v2);
+ inline friend EvtComplex operator*(const EvtVector4C& v1,const EvtVector4R& v2);
+ inline friend EvtComplex operator*(const EvtVector4C& v1,const EvtVector4C& v2);
+ friend EvtVector4C operator+(const EvtVector4C& v1,const EvtVector4C& v2);
+ friend EvtVector4C operator-(const EvtVector4C& v1,const EvtVector4C& v2);
+
+public:
+
+ EvtVector4C();
+ EvtVector4C(const EvtComplex&,const EvtComplex&,
+ const EvtComplex&,const EvtComplex&);
+ virtual ~EvtVector4C();
+ inline void set(int,const EvtComplex&);
+ inline void set(const EvtComplex&,const EvtComplex&,
+ const EvtComplex&,const EvtComplex&);
+ inline void set(double,double,double,double);
+ inline EvtVector4C(const EvtVector4R& v1);
+ inline const EvtComplex& get(int) const;
+ inline EvtComplex cont(const EvtVector4C& v4) const;
+ inline EvtVector4C conj() const;
+ EvtVector3C vec() const;
+ inline EvtVector4C& operator=(const EvtVector4C& v2);
+ inline EvtVector4C& operator-=(const EvtVector4C& v2);
+ inline EvtVector4C& operator+=(const EvtVector4C& v2);
+ inline EvtVector4C& operator*=(const EvtComplex& c);
+ void applyRotateEuler(double alpha,double beta,double gamma);
+ void applyBoostTo(const EvtVector4R& p4);
+ void applyBoostTo(const EvtVector3R& boost);
+ friend std::ostream& operator<<(std::ostream& s, const EvtVector4C& v);
+ double dot( const EvtVector4C& p2 );
+private:
+
+ EvtComplex v[4];
+
+};
+
+inline EvtVector4C& EvtVector4C::operator=(const EvtVector4C& v2){
+
+ v[0]=v2.v[0];
+ v[1]=v2.v[1];
+ v[2]=v2.v[2];
+ v[3]=v2.v[3];
+
+ return *this;
+}
+
+inline EvtVector4C& EvtVector4C::operator+=(const EvtVector4C& v2){
+
+ v[0]+=v2.v[0];
+ v[1]+=v2.v[1];
+ v[2]+=v2.v[2];
+ v[3]+=v2.v[3];
+
+ return *this;
+}
+
+inline EvtVector4C& EvtVector4C::operator-=(const EvtVector4C& v2){
+
+ v[0]-=v2.v[0];
+ v[1]-=v2.v[1];
+ v[2]-=v2.v[2];
+ v[3]-=v2.v[3];
+
+ return *this;
+}
+
+inline void EvtVector4C::set(int i,const EvtComplex& c){
+
+ v[i]=c;
+}
+
+inline EvtVector3C EvtVector4C::vec() const {
+
+ return EvtVector3C(v[1],v[2],v[3]);
+}
+
+inline void EvtVector4C::set(const EvtComplex& e,const EvtComplex& p1,
+ const EvtComplex& p2,const EvtComplex& p3){
+
+ v[0]=e; v[1]=p1; v[2]=p2; v[3]=p3;
+}
+
+inline void EvtVector4C::set(double e,double p1,
+ double p2,double p3){
+
+ v[0]=EvtComplex(e); v[1]=EvtComplex(p1); v[2]=EvtComplex(p2); v[3]=EvtComplex(p3);
+}
+
+inline const EvtComplex& EvtVector4C::get(int i) const {
+
+ return v[i];
+}
+
+inline EvtVector4C operator+(const EvtVector4C& v1,const EvtVector4C& v2) {
+
+ return EvtVector4C(v1)+=v2;
+}
+
+inline EvtVector4C operator-(const EvtVector4C& v1,const EvtVector4C& v2) {
+
+ return EvtVector4C(v1)-=v2;
+}
+
+inline EvtComplex EvtVector4C::cont(const EvtVector4C& v4) const {
+
+ return v[0]*v4.v[0]-v[1]*v4.v[1]-
+ v[2]*v4.v[2]-v[3]*v4.v[3];
+}
+
+inline EvtVector4C& EvtVector4C::operator*=(const EvtComplex& c) {
+
+ v[0]*=c;
+ v[1]*=c;
+ v[2]*=c;
+ v[3]*=c;
+
+ return *this;
+}
+
+inline EvtVector4C operator*(double d,const EvtVector4C& v2){
+
+ return EvtVector4C(v2.v[0]*d,v2.v[1]*d,v2.v[2]*d,v2.v[3]*d);
+}
+
+inline EvtVector4C operator*(const EvtComplex& c,const EvtVector4C& v2){
+
+ return EvtVector4C(v2)*=c;
+}
+
+inline EvtVector4C operator*(const EvtVector4C& v2,const EvtComplex& c){
+
+ return EvtVector4C(v2)*=c;
+}
+
+inline EvtVector4C operator*(const EvtComplex& c,const EvtVector4R& v2){
+
+ return EvtVector4C(c*v2.get(0),c*v2.get(1),c*v2.get(2),c*v2.get(3));
+}
+
+inline EvtVector4C::EvtVector4C(const EvtVector4R& v1){
+
+ v[0]=EvtComplex(v1.get(0)); v[1]=EvtComplex(v1.get(1));
+ v[2]=EvtComplex(v1.get(2)); v[3]=EvtComplex(v1.get(3));
+}
+
+inline EvtComplex operator*(const EvtVector4R& v1,const EvtVector4C& v2){
+
+ return v1.get(0)*v2.v[0]-v1.get(1)*v2.v[1]-
+ v1.get(2)*v2.v[2]-v1.get(3)*v2.v[3];
+}
+
+inline EvtComplex operator*(const EvtVector4C& v1,const EvtVector4R& v2){
+
+ return v1.v[0]*v2.get(0)-v1.v[1]*v2.get(1)-
+ v1.v[2]*v2.get(2)-v1.v[3]*v2.get(3);
+}
+
+inline EvtComplex operator*(const EvtVector4C& v1,const EvtVector4C& v2){
+
+ return v1.v[0]*v2.v[0]-v1.v[1]*v2.v[1]-
+ v1.v[2]*v2.v[2]-v1.v[3]*v2.v[3];
+}
+
+inline EvtVector4C EvtVector4C::conj() const {
+
+ return EvtVector4C(::conj(v[0]),::conj(v[1]),
+ ::conj(v[2]),::conj(v[3]));
+}
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVector4R.cc
+//
+// Description: Real implementation of 4-vectors
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <math.h>
+#include <assert.h>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtVector3R.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+
+using std::ostream;
+
+
+
+EvtVector4R::EvtVector4R(double e,double p1,double p2, double p3){
+
+ v[0]=e; v[1]=p1; v[2]=p2; v[3]=p3;
+}
+
+double EvtVector4R::mass() const{
+
+ double m2=v[0]*v[0]-v[1]*v[1]-v[2]*v[2]-v[3]*v[3];
+
+ if (m2>0.0) {
+ return sqrt(m2);
+ }
+ else{
+ return 0.0;
+ }
+}
+
+
+EvtVector4R rotateEuler(const EvtVector4R& rs,
+ double alpha,double beta,double gamma){
+
+ EvtVector4R tmp(rs);
+ tmp.applyRotateEuler(alpha,beta,gamma);
+ return tmp;
+
+}
+
+EvtVector4R boostTo(const EvtVector4R& rs,
+ const EvtVector4R& p4){
+
+ EvtVector4R tmp(rs);
+ tmp.applyBoostTo(p4);
+ return tmp;
+
+}
+
+EvtVector4R boostTo(const EvtVector4R& rs,
+ const EvtVector3R& boost){
+
+ EvtVector4R tmp(rs);
+ tmp.applyBoostTo(boost);
+ return tmp;
+
+}
+
+
+
+void EvtVector4R::applyRotateEuler(double phi,double theta,double ksi){
+
+ double sp=sin(phi);
+ double st=sin(theta);
+ double sk=sin(ksi);
+ double cp=cos(phi);
+ double ct=cos(theta);
+ double ck=cos(ksi);
+
+ double x=( ck*ct*cp-sk*sp)*v[1]+( -sk*ct*cp-ck*sp)*v[2]+st*cp*v[3];
+ double y=( ck*ct*sp+sk*cp)*v[1]+(-sk*ct*sp+ck*cp)*v[2]+st*sp*v[3];
+ double z=-ck*st*v[1]+sk*st*v[2]+ct*v[3];
+
+ v[1]=x;
+ v[2]=y;
+ v[3]=z;
+
+}
+
+ostream& operator<<(ostream& s, const EvtVector4R& v){
+
+ s<<"("<<v.v[0]<<","<<v.v[1]<<","<<v.v[2]<<","<<v.v[3]<<")";
+
+ return s;
+
+}
+
+void EvtVector4R::applyBoostTo(const EvtVector4R& p4){
+
+ double e=p4.get(0);
+
+ EvtVector3R boost(p4.get(1)/e,p4.get(2)/e,p4.get(3)/e);
+
+ applyBoostTo(boost);
+
+ return;
+
+}
+
+void EvtVector4R::applyBoostTo(const EvtVector3R& boost){
+
+ double bx,by,bz,gamma,b2;
+
+ bx=boost.get(0);
+ by=boost.get(1);
+ bz=boost.get(2);
+
+ double bxx=bx*bx;
+ double byy=by*by;
+ double bzz=bz*bz;
+
+ b2=bxx+byy+bzz;
+
+
+ if (b2==0.0){
+ return;
+ }
+
+ assert(b2<1.0);
+
+ gamma=1.0/sqrt(1-b2);
+
+
+ double gb2=(gamma-1.0)/b2;
+
+ double gb2xy=gb2*bx*by;
+ double gb2xz=gb2*bx*bz;
+ double gb2yz=gb2*by*bz;
+
+ double gbx=gamma*bx;
+ double gby=gamma*by;
+ double gbz=gamma*bz;
+
+ double e2=v[0];
+ double px2=v[1];
+ double py2=v[2];
+ double pz2=v[3];
+
+ v[0]=gamma*e2+gbx*px2+gby*py2+gbz*pz2;
+
+ v[1]=gbx*e2+gb2*bxx*px2+px2+gb2xy*py2+gb2xz*pz2;
+
+ v[2]=gby*e2+gb2*byy*py2+py2+gb2xy*px2+gb2yz*pz2;
+
+ v[3]=gbz*e2+gb2*bzz*pz2+pz2+gb2yz*py2+gb2xz*px2;
+
+ return;
+
+}
+
+EvtVector4R EvtVector4R::cross( const EvtVector4R& p2 ){
+
+ //Calcs the cross product. Added by djl on July 27, 1995.
+ //Modified for real vectros by ryd Aug 28-96
+
+ EvtVector4R temp;
+
+ temp.v[0] = 0.0;
+ temp.v[1] = v[2]*p2.v[3] - v[3]*p2.v[2];
+ temp.v[2] = v[3]*p2.v[1] - v[1]*p2.v[3];
+ temp.v[3] = v[1]*p2.v[2] - v[2]*p2.v[1];
+
+ return temp;
+}
+
+double EvtVector4R::d3mag() const
+
+// returns the 3 momentum mag.
+{
+ double temp;
+
+ temp = v[1]*v[1]+v[2]*v[2]+v[3]*v[3];
+
+ temp = sqrt( temp );
+
+ return temp;
+} // r3mag
+
+double EvtVector4R::dot ( const EvtVector4R& p2 )const{
+
+ //Returns the dot product of the 3 momentum. Added by
+ //djl on July 27, 1995. for real!!!
+
+ double temp;
+
+ temp = v[1]*p2.v[1];
+ temp += v[2]*p2.v[2];
+ temp += v[3]*p2.v[3];
+
+ return temp;
+
+} //dot
+
+// Functions below added by AJB
+
+// Calculate ( \vec{p1} cross \vec{p2} ) \cdot \vec{p3} in rest frame of object
+double EvtVector4R::scalartripler3( const EvtVector4R& p1,
+ const EvtVector4R& p2, const EvtVector4R& p3 ) const
+{
+ EvtVector4C lc=dual(directProd(*this, p1)).cont2(p2);
+ EvtVector4R l(real(lc.get(0)), real(lc.get(1)), real(lc.get(2)),
+ real(lc.get(3)));
+
+ return -1.0/mass() * (l * p3);
+}
+
+// Calculate the 3-d dot product of 4-vectors p1 and p2 in the rest frame of
+// 4-vector p0
+double EvtVector4R::dotr3( const EvtVector4R& p1, const EvtVector4R& p2 ) const
+{
+ return 1/mass2() * ((*this) * p1) * ((*this) * p2) - p1 * p2;
+}
+
+// Calculate the 3-d magnitude squared of 4-vector p1 in the rest frame of
+// 4-vector p0
+double EvtVector4R::mag2r3( const EvtVector4R& p1 ) const
+{
+ return Square((*this) * p1)/mass2() - p1.mass2();
+}
+
+// Calculate the 3-d magnitude 4-vector p1 in the rest frame of 4-vector p0.
+double EvtVector4R::magr3( const EvtVector4R& p1 ) const
+{
+ return sqrt(mag2r3(p1));
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVector4R.hh
+//
+// Description: Class to describe real 4 vectors
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVECTOR4R_HH
+#define EVTVECTOR4R_HH
+
+#include <iostream>
+#include <math.h>
+
+class EvtVector3R;
+
+class EvtVector4R {
+
+ friend EvtVector4R rotateEuler(const EvtVector4R& rs,
+ double alpha,double beta,double gamma);
+ friend EvtVector4R boostTo(const EvtVector4R& rs,
+ const EvtVector4R& p4);
+ friend EvtVector4R boostTo(const EvtVector4R& rs,
+ const EvtVector3R& boost);
+
+
+ inline friend EvtVector4R operator*(double d,const EvtVector4R& v2);
+ inline friend EvtVector4R operator*(const EvtVector4R& v2,double d);
+ inline friend EvtVector4R operator/(const EvtVector4R& v2,double d);
+ inline friend double operator*(const EvtVector4R& v1,const EvtVector4R& v2);
+ inline friend EvtVector4R operator+(const EvtVector4R& v1,const EvtVector4R& v2);
+ inline friend EvtVector4R operator-(const EvtVector4R& v1,const EvtVector4R& v2);
+
+public:
+ EvtVector4R(){}
+ EvtVector4R(double e,double px,double py ,double pz);
+ inline void set(int i,double d);
+ inline void set(double e,double px,double py ,double pz);
+ inline EvtVector4R& operator*=(double c);
+ inline EvtVector4R& operator/=(double c);
+ inline EvtVector4R& operator=(const EvtVector4R& v2);
+ inline EvtVector4R& operator+=(const EvtVector4R& v2);
+ inline EvtVector4R& operator-=(const EvtVector4R& v2);
+ inline double get(int i) const;
+ inline double cont(const EvtVector4R& v4) const;
+ friend std::ostream& operator<<(std::ostream& s, const EvtVector4R& v);
+ double mass2() const;
+ double mass() const;
+ void applyRotateEuler(double alpha,double beta,double gamma);
+ void applyBoostTo(const EvtVector4R& p4);
+ void applyBoostTo(const EvtVector3R& boost);
+ EvtVector4R cross(const EvtVector4R& v2);
+ double dot(const EvtVector4R& v2) const;
+ double d3mag() const;
+
+ // Added by AJB - calculate scalars in the rest frame of the current object
+ double scalartripler3( const EvtVector4R& p1, const EvtVector4R& p2,
+ const EvtVector4R& p3 ) const;
+ double dotr3( const EvtVector4R& p1, const EvtVector4R& p2 ) const;
+ double mag2r3( const EvtVector4R& p1 ) const;
+ double magr3( const EvtVector4R& p1 ) const;
+
+
+private:
+
+ double v[4];
+
+ inline double Square( double x ) const { return x*x; }
+
+};
+
+
+inline EvtVector4R& EvtVector4R::operator=(const EvtVector4R& v2){
+
+ v[0]=v2.v[0];
+ v[1]=v2.v[1];
+ v[2]=v2.v[2];
+ v[3]=v2.v[3];
+
+ return *this;
+}
+
+inline EvtVector4R& EvtVector4R::operator+=(const EvtVector4R& v2){
+
+ v[0]+=v2.v[0];
+ v[1]+=v2.v[1];
+ v[2]+=v2.v[2];
+ v[3]+=v2.v[3];
+
+ return *this;
+}
+
+inline EvtVector4R& EvtVector4R::operator-=(const EvtVector4R& v2){
+
+ v[0]-=v2.v[0];
+ v[1]-=v2.v[1];
+ v[2]-=v2.v[2];
+ v[3]-=v2.v[3];
+
+ return *this;
+}
+
+inline double EvtVector4R::mass2() const{
+
+ return v[0]*v[0]-v[1]*v[1]-v[2]*v[2]-v[3]*v[3];
+}
+
+inline EvtVector4R operator*(double c,const EvtVector4R& v2){
+
+ return EvtVector4R(v2)*=c;
+}
+
+inline EvtVector4R operator*(const EvtVector4R& v2,double c){
+
+ return EvtVector4R(v2)*=c;
+}
+
+inline EvtVector4R operator/(const EvtVector4R& v2,double c){
+
+ return EvtVector4R(v2)/=c;
+}
+
+inline EvtVector4R& EvtVector4R::operator*=(double c){
+
+ v[0]*=c;
+ v[1]*=c;
+ v[2]*=c;
+ v[3]*=c;
+
+ return *this;
+}
+
+inline EvtVector4R& EvtVector4R::operator/=(double c){
+
+ double cinv=1.0/c;
+ v[0]*=cinv;
+ v[1]*=cinv;
+ v[2]*=cinv;
+ v[3]*=cinv;
+
+ return *this;
+}
+
+inline double operator*(const EvtVector4R& v1,const EvtVector4R& v2){
+
+ return v1.v[0]*v2.v[0]-v1.v[1]*v2.v[1]-
+ v1.v[2]*v2.v[2]-v1.v[3]*v2.v[3];
+}
+
+inline double EvtVector4R::cont(const EvtVector4R& v4) const {
+
+ return v[0]*v4.v[0]-v[1]*v4.v[1]-
+ v[2]*v4.v[2]-v[3]*v4.v[3];
+}
+
+inline EvtVector4R operator-(const EvtVector4R& v1,const EvtVector4R& v2){
+
+ return EvtVector4R(v1)-=v2;
+}
+
+inline EvtVector4R operator+(const EvtVector4R& v1,const EvtVector4R& v2){
+
+ return EvtVector4R(v1)+=v2;
+}
+
+inline double EvtVector4R::get(int i) const {
+ return v[i];
+}
+
+inline void EvtVector4R::set(int i,double d){
+
+ v[i]=d;
+}
+
+inline void EvtVector4R::set(double e,double p1,double p2, double p3){
+
+ v[0]=e;
+ v[1]=p1;
+ v[2]=p2;
+ v[3]=p3;
+}
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVectorParticle.cc
+//
+// Description: Class to describe spin 1 particles
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <math.h>
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+EvtVectorParticle::~EvtVectorParticle(){}
+
+
+void EvtVectorParticle::init(EvtId part_n,double e,double px,double py,double pz){
+
+ _validP4=true;
+ setp(e,px,py,pz);
+ setpart_num(part_n);
+
+ _eps[0].set(0.0,1.0,0.0,0.0);
+ _eps[1].set(0.0,0.0,1.0,0.0);
+ _eps[2].set(0.0,0.0,0.0,1.0);
+
+ setLifetime();
+}
+
+void EvtVectorParticle::init(EvtId part_n,const EvtVector4R& p4){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(part_n);
+
+ _eps[0].set(0.0,1.0,0.0,0.0);
+ _eps[1].set(0.0,0.0,1.0,0.0);
+ _eps[2].set(0.0,0.0,0.0,1.0);
+ setLifetime();
+}
+
+void EvtVectorParticle::init(EvtId part_n,const EvtVector4R& p4,
+ const EvtVector4C & epsin1,
+ const EvtVector4C & epsin2,
+ const EvtVector4C & epsin3){
+
+ _validP4=true;
+ setp(p4);
+ setpart_num(part_n);
+
+ _eps[0]=epsin1;
+ _eps[1]=epsin2;
+ _eps[2]=epsin3;
+
+ setLifetime();
+}
+
+
+
+EvtSpinDensity EvtVectorParticle::rotateToHelicityBasis() const{
+
+ static EvtVector4C eplus(0.0,-1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ static EvtVector4C ezero(0.0,0.0,0.0,1.0);
+ static EvtVector4C eminus(0.0,1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ static EvtVector4C eplusC(eplus.conj());
+ static EvtVector4C ezeroC(ezero.conj());
+ static EvtVector4C eminusC(eminus.conj());
+
+ EvtSpinDensity R;
+ R.setDim(3);
+
+ for ( int i=0; i<3; i++ ) {
+ R.set(0,i,(eplusC)*_eps[i]);
+ R.set(1,i,(ezeroC)*_eps[i]);
+ R.set(2,i,(eminusC)*_eps[i]);
+ }
+
+ return R;
+
+}
+
+
+EvtSpinDensity EvtVectorParticle::rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const{
+
+ EvtVector4C eplus(0.0,-1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+ EvtVector4C ezero(0.0,0.0,0.0,1.0);
+ EvtVector4C eminus(0.0,1.0/sqrt(2.0),EvtComplex(0.0,-1.0/sqrt(2.0)),0.0);
+
+ eplus.applyRotateEuler(alpha,beta,gamma);
+ ezero.applyRotateEuler(alpha,beta,gamma);
+ eminus.applyRotateEuler(alpha,beta,gamma);
+
+ EvtSpinDensity R;
+ R.setDim(3);
+
+
+ for ( int i=0; i<3; i++ ) {
+ R.set(0,i,(eplus.conj())*_eps[i]);
+ R.set(1,i,(ezero.conj())*_eps[i]);
+ R.set(2,i,(eminus.conj())*_eps[i]);
+ }
+
+ return R;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVectorParticle.hh
+//
+// Description: Class to describe vector particles.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVECTORPARTICLE_HH
+#define EVTVECTORPARTICLE_HH
+
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtId;
+
+class EvtVectorParticle: public EvtParticle {
+
+public:
+
+ EvtVectorParticle() {}
+ virtual ~EvtVectorParticle();
+
+ void init(EvtId part_n,double e,double px,double py,double pz);
+ void init(EvtId part_n,const EvtVector4R& p);
+ void init(EvtId part_n,const EvtVector4R& p,
+ const EvtVector4C&,const EvtVector4C&,const EvtVector4C&);
+ EvtVector4C epsParent(int i) const {return boostTo(_eps[i],this->getP4());}
+ EvtVector4C eps(int i) const {return _eps[i];}
+ EvtSpinDensity rotateToHelicityBasis() const;
+ EvtSpinDensity rotateToHelicityBasis(double alpha,
+ double beta,
+ double gamma) const;
+
+private:
+
+ EvtVector4C _eps[3];
+
+ EvtVectorParticle(const EvtVectorParticle& vector);
+ EvtVectorParticle& operator=(const EvtVectorParticle& vector);
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtKine.cc
+//
+// Description: Evaluates the Wigner d-Functions.
+//
+// Modification history:
+//
+// RYD March 14, 1999 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <math.h>
+#include <iostream>
+#include <assert.h>
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtdFunctionSingle.hh"
+
+
+double EvtdFunction::d(int j,int m1,int m2, double theta){
+
+
+ int m1p=m1;
+ int m2p=m2;
+
+
+ int signp=1;
+ //make |m2p|>|m1p|
+ if (abs(m2p)<abs(m1p)) {
+ int tmp=m1p;
+ m1p=m2p;
+ m2p=tmp;
+ if ((m1p-m2p)%4!=0) signp=-signp;
+ }
+
+ //make m2p non-negative
+ if (m2p<0) {
+ m1p=-m1p;
+ m2p=-m2p;
+ if ((m1p-m2p)%4!=0) signp=-signp;
+ }
+
+
+ EvtdFunctionSingle df;
+
+ df.init(j,m1p,m2p);
+
+ double d=df.d(j,m1p,m2p,theta)*signp;
+
+ return d;
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtdFunction.hh
+//
+// Description:Evaluation of Wigner d-Functions
+//
+// Modification history:
+//
+// RYD March 14, 1999 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDFUNCTION_HH
+#define EVTDFUNCTION_HH
+
+class EvtdFunction{
+
+public:
+
+ static double d(int j,int m1,int m2,double theta);
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtdFunctionSingle.cc
+//
+// Description: Evaluates one Wigner d-Functions.
+//
+// Modification history:
+//
+// fkw February 2, 2001 changes to satisfy KCC
+// RYD August 10, 2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <math.h>
+#include <iostream>
+#include <assert.h>
+#include "EvtGenBase/EvtdFunctionSingle.hh"
+
+EvtdFunctionSingle::EvtdFunctionSingle(){
+ _j=0;
+ _m1=0;
+ _m2=0;
+ _coef=0;
+ _kmin=0;
+ _kmax=0;
+}
+
+
+EvtdFunctionSingle::~EvtdFunctionSingle(){
+ if (_coef!=0) delete [] _coef;
+}
+
+
+void EvtdFunctionSingle::init(int j,int m1,int m2){
+
+ assert(abs(m2)>=abs(m1));
+ assert(m2>=0);
+
+ _j=j;
+ _m1=m1;
+ _m2=m2;
+
+ _kmin=_m2-_m1;
+ _kmax=_j-_m1;
+
+ assert(_kmin<=_kmax);
+
+ _coef=new double[(_kmax-_kmin)/2+1];
+
+ int k;
+
+ for(k=_kmin;k<=_kmax;k+=2){
+ int sign=1;
+ if ((k-_m2+_m1)%4!=0) sign=-sign;
+ double tmp = fact((_j+_m2)/2)*fact((_j-_m2)/2)
+ *fact((_j+_m1)/2)*fact((_j-_m1)/2);
+ _coef[(k-_kmin)/2]=sign*sqrt(tmp)/
+ (fact((_j+_m2-k)/2)*fact(k/2)*fact((_j-_m1-k)/2)*fact((k-_m2+_m1)/2));
+
+ }
+
+}
+
+
+double EvtdFunctionSingle::d(int j,int m1,int m2, double theta){
+
+ assert(j==_j);
+ assert(m1==_m1);
+ assert(m2==_m2);
+
+ double c2=cos(0.5*theta);
+ double s2=sin(0.5*theta);
+
+ double d=0.0;
+
+ int k;
+ for(k=_kmin;k<=_kmax;k+=2){
+ d+=_coef[(k-_kmin)/2]*pow(c2,(2*_j-2*k+m2-m1)/2)*pow(s2,(2*k-m2+m1)/2);
+ }
+
+ return d;
+
+}
+
+
+int EvtdFunctionSingle::fact(int n){
+
+ assert(n>=0);
+
+ int f=1;
+
+ int k;
+ for(k=2;k<=n;k++) f*=k;
+
+ return f;
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtGen/EvtdFunction.hh
+//
+// Description:Evaluation of one Wigner d-Functions
+//
+// Modification history:
+//
+// RYD August 10, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDFUNCTIONSINGLE_HH
+#define EVTDFUNCTIONSINGLE_HH
+
+class EvtdFunctionSingle{
+
+public:
+
+ EvtdFunctionSingle();
+ ~EvtdFunctionSingle();
+
+ void init(int j,int m1,int m2);
+
+ double d(int j,int m1,int m2,double theta);
+
+private:
+
+ int fact(int n);
+
+ int _j;
+ int _m1;
+ int _m2;
+
+ double *_coef;
+
+
+ int _kmin;
+ int _kmax;
+
+};
+
+#endif
+
--- /dev/null
+
+void cambiaNome(){
+TSeqCollection *sec = gSystem->GetListOfFileHandlers();
+sec->Print();
+cout<< "Entries" << sec->GetEntries() << endl;
+sec->Draw();
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2003 Caltech
+//
+// Module: EvtGen/EvtBBScalar
+//
+// Description:Implementation of the decay B- -> lambda p_bar pi according to
+// hep-ph/0204185, hep-ph/0211240
+// This model is intended to be applicable to all decays of the type B-> baryon baryon scalar
+//
+// Modification history:
+//
+// Jan Strube March 24, 2006 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenModels/EvtBBScalar.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include <cmath>
+
+using namespace std;
+
+const float pi = 3.14159;
+const EvtComplex EvtBBScalar::I = EvtComplex(0, 1);
+const EvtComplex EvtBBScalar::V_ub = EvtComplex(3.67e-3*cos(60/180*pi), 3.67e-3*cos(60/180*pi));
+const EvtComplex EvtBBScalar::V_us_star = EvtComplex(0.22, 0);
+const EvtComplex EvtBBScalar::a1 = EvtComplex(1.05, 0);
+const EvtComplex EvtBBScalar::V_tb = EvtComplex(0.99915, 0);
+const EvtComplex EvtBBScalar::V_ts_star = EvtComplex(-0.04029-0.000813*cos(60/180*pi), -0.000813*cos(60/180*pi));
+const EvtComplex EvtBBScalar::a4 = EvtComplex(-387.3e-4, -121e-4);
+const EvtComplex EvtBBScalar::a6 = EvtComplex(-555.3e-4, -121e-4);
+const double EvtBBScalar::x[] = {420.96, -10485.50, 100639.97, -433916.61, 613780.15};
+const double EvtBBScalar::y[] = {292.62, -735.73};
+const double EvtBBScalar::m_s = 0.120;
+const double EvtBBScalar::m_u = 0.029 * 0.120;
+const double EvtBBScalar::m_b = 4.88;
+
+
+EvtBBScalar::EvtBBScalar()
+ : EvtDecayAmp()
+ , _massRatio(0)
+ , _baryonMassSum(0)
+{
+ FormFactor dummy;
+ dummy.value = 0.36;
+ dummy.sigma1 = 0.43;
+ dummy.mV = 5.42;
+ _f1Map.insert(make_pair(string("K"), dummy));
+ dummy.sigma1 = 0.70;
+ dummy.sigma2 = 0.27;
+ _f0Map.insert(make_pair(string("K"), dummy));
+ dummy.value = 0.29;
+ dummy.sigma1 = 0.48;
+ dummy.sigma2 = 0.0;
+ dummy.mV = 5.32;
+ _f1Map.insert(make_pair(string("pi"), dummy));
+ dummy.sigma1 = 0.76;
+ dummy.sigma2 = 0.28;
+ _f0Map.insert(make_pair(string("pi"), dummy));
+}
+
+
+
+std::string EvtBBScalar::getName(){
+ return "B_TO_2BARYON_SCALAR";
+}
+
+EvtDecayBase* EvtBBScalar::clone(){
+ return new EvtBBScalar;
+}
+
+
+void EvtBBScalar::setKnownBaryonTypes(const EvtId& baryon) {
+ int baryonId = EvtPDL::getStdHep(baryon);
+ if (EvtPDL::getStdHep(EvtPDL::getId("Lambda0")) == baryonId
+ or EvtPDL::getStdHep(EvtPDL::getId("anti-Lambda0")) == baryonId ) {
+ _baryonCombination.set(Lambda);
+ } else if (EvtPDL::getStdHep(EvtPDL::getId("p+")) == baryonId
+ or EvtPDL::getStdHep(EvtPDL::getId("anti-p-")) == baryonId ) {
+ _baryonCombination.set(Proton);
+ } else if (EvtPDL::getStdHep(EvtPDL::getId("n0")) == baryonId
+ or EvtPDL::getStdHep(EvtPDL::getId("anti-n0")) == baryonId) {
+ _baryonCombination.set(Neutron);
+ } else if (EvtPDL::getStdHep(EvtPDL::getId("Sigma0")) == baryonId
+ or EvtPDL::getStdHep(EvtPDL::getId("anti-Sigma0")) == baryonId ) {
+ _baryonCombination.set(Sigma0);
+ } else if (EvtPDL::getStdHep(EvtPDL::getId("Sigma-")) == baryonId
+ or EvtPDL::getStdHep(EvtPDL::getId("anti-Sigma+")) == baryonId ) {
+ _baryonCombination.set(Sigma_minus);
+ } else if (EvtPDL::getStdHep(EvtPDL::getId("Xi0")) == baryonId
+ or EvtPDL::getStdHep(EvtPDL::getId("anti-Xi0")) == baryonId) {
+ _baryonCombination.set(Xi0);
+ } else if (EvtPDL::getStdHep(EvtPDL::getId("Xi-")) == baryonId
+ or EvtPDL::getStdHep(EvtPDL::getId("anti-Xi+")) == baryonId) {
+ _baryonCombination.set(Xi_minus);
+ } else {
+ report(ERROR, "EvtGen")
+ << "EvtBBScalar::init: Don't know what to do with this type as the first or second baryon\n";
+ exit(2);
+ }
+}
+
+const double EvtBBScalar::baryonF1F2(double t) {
+ // check for known form factors for combination of baryons
+ if (_baryonCombination.test(Lambda) and _baryonCombination.test(Proton)) {
+ return -sqrt(1.5) * G_p(t);
+ } else if (_baryonCombination.test(Sigma0) and _baryonCombination.test(Proton)) {
+ return -sqrt(0.5) * (G_p(t) + 2* G_n(t));
+ } else if (_baryonCombination.test(Sigma_minus) and _baryonCombination.test(Neutron)) {
+ return -G_p(t) - 2* G_n(t);
+ } else if (_baryonCombination.test(Xi0) and _baryonCombination.test(Sigma_minus)) {
+ return G_p(t) - G_n(t);
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Sigma0)) {
+ return sqrt(0.5) * (G_p(t) - G_n(t));
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Lambda)) {
+ return sqrt(1.5) * (G_p(t) + G_n(t));
+ } else {
+ report(ERROR, "EvtGen")
+ << "EvtBBScalar::baryonF1F2: Don't know what to do with this type as the first or second baryon\n";
+ exit(2);
+ }
+}
+
+const double EvtBBScalar::formFactorFit(double t, const vector<double>& params) {
+ static const double gamma = 2.148;
+ static const double Lambda_0 = 0.3;
+ double result = 0;
+ for (size_t i=0; i<params.size(); ++i) {
+ result += params[i]/pow(t, static_cast<int>(i+1));
+ }
+ return result * pow(log(t/pow(Lambda_0, 2)), -gamma);
+}
+
+
+const double EvtBBScalar::G_p(double t) {
+ const vector<double> v_x(x, x+5);
+ return formFactorFit(t, v_x);
+}
+
+
+const double EvtBBScalar::G_n(double t) {
+ const vector<double> v_y(y, y+2);
+ return -formFactorFit(t, v_y);
+}
+
+
+
+const double EvtBBScalar::baryon_gA(double t) {
+ // check for known form factors for combination of baryons
+ if (_baryonCombination.test(Lambda) and _baryonCombination.test(Proton)) {
+ return -1/sqrt(6.) * (D_A(t) + 3*F_A(t));
+ } else if (_baryonCombination.test(Sigma0) and _baryonCombination.test(Proton)) {
+ return 1/sqrt(2.) * (D_A(t) - F_A(t));
+ } else if (_baryonCombination.test(Sigma_minus) and _baryonCombination.test(Neutron)) {
+ return D_A(t) - F_A(t);
+ } else if (_baryonCombination.test(Xi0) and _baryonCombination.test(Sigma_minus)) {
+ return D_A(t) + F_A(t);
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Sigma0)) {
+ return 1/sqrt(2.) * (D_A(t) + F_A(t));
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Lambda)) {
+ return -1 / sqrt(6.) * (D_A(t) - 3*F_A(t));
+ } else {
+ report(ERROR, "EvtGen")
+ << "EvtBBScalar::baryon_gA: Don't know what to do with this type as the first or second baryon\n";
+ exit(2);
+ }
+}
+
+
+const double EvtBBScalar::baryon_gP(double t) {
+ // check for known form factors for combination of baryons
+ if (_baryonCombination.test(Lambda) and _baryonCombination.test(Proton)) {
+ return -1/sqrt(6.) * (D_P(t) + 3*F_P(t));
+ } else if (_baryonCombination.test(Sigma0) and _baryonCombination.test(Proton)) {
+ return 1/sqrt(2.) * (D_P(t) - F_P(t));
+ } else if (_baryonCombination.test(Sigma_minus) and _baryonCombination.test(Neutron)) {
+ return D_P(t) - F_P(t);
+ } else if (_baryonCombination.test(Xi0) and _baryonCombination.test(Sigma_minus)) {
+ return D_P(t) + F_P(t);
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Sigma0)) {
+ return 1/sqrt(2.) * (D_P(t) + F_P(t));
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Lambda)) {
+ return -1 / sqrt(6.) * (D_P(t) - 3*F_P(t));
+ } else {
+ report(ERROR, "EvtGen")
+ << "EvtBBScalar::baryon_gP: Don't know what to do with this type as the first or second baryon\n";
+ exit(2);
+ }
+}
+
+const double EvtBBScalar::baryon_fS(double t) {
+ // check for known form factors for combination of baryons
+ if (_baryonCombination.test(Lambda) and _baryonCombination.test(Proton)) {
+ return -1/sqrt(6.) * (D_S(t) + 3*F_S(t));
+ } else if (_baryonCombination.test(Sigma0) and _baryonCombination.test(Proton)) {
+ return 1/sqrt(2.) * (D_S(t) - F_S(t));
+ } else if (_baryonCombination.test(Sigma_minus) and _baryonCombination.test(Neutron)) {
+ return D_S(t) - F_S(t);
+ } else if (_baryonCombination.test(Xi0) and _baryonCombination.test(Sigma_minus)) {
+ return D_S(t) + F_S(t);
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Sigma0)) {
+ return 1/sqrt(2.) * (D_S(t) + F_S(t));
+ } else if (_baryonCombination.test(Xi_minus) and _baryonCombination.test(Lambda)) {
+ return -1 / sqrt(6.) * (D_S(t) - 3*F_S(t));
+ } else {
+ report(ERROR, "EvtGen")
+ << "EvtBBScalar::baryon_fS: Don't know what to do with this type as the first or second baryon\n";
+ exit(2);
+ }
+}
+
+
+const double EvtBBScalar::D_A(double t) {
+ const double d_tilde[] = {x[0]-1.5*y[0], -478};
+ const vector<double> v_d_tilde(d_tilde, d_tilde+2);
+ return formFactorFit(t, v_d_tilde);
+}
+
+
+const double EvtBBScalar::F_A(double t) {
+ const double f_tilde[] = {2./3*x[0]+0.5*y[0], -478};
+ const vector<double> v_f_tilde(f_tilde, f_tilde+2);
+ return formFactorFit(t, v_f_tilde);
+}
+
+
+const double EvtBBScalar::D_P(double t) {
+ const double d_bar[] = {1.5*y[0]* _massRatio, /*-952*/0};
+ const vector<double> v_d_bar(d_bar, d_bar+2);
+ return formFactorFit(t, v_d_bar);
+}
+
+
+const double EvtBBScalar::F_P(double t) {
+ const double f_bar[] = {(x[0]-0.5*y[0]) * _massRatio, /*-952*/0};
+ const vector<double> v_f_bar(f_bar, f_bar+2);
+ return formFactorFit(t, v_f_bar);
+}
+
+
+const double EvtBBScalar::D_S(double t) {
+ return -1.5 * _massRatio * G_n(t);
+}
+
+
+const double EvtBBScalar::F_S(double t) {
+ return (G_p(t) + 0.5*G_n(t)) * _massRatio;
+}
+
+
+const double EvtBBScalar::baryon_hA(double t) {
+ return (1/_massRatio*baryon_gP(t)-baryon_gA(t))*pow(_baryonMassSum, 2)/t;
+}
+
+
+void EvtBBScalar::init() {
+ // no arguments, daughter lambda p_bar pi
+ // charge conservation is checked by base class
+ checkNArg(0);
+ checkNDaug(3);
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(0, EvtSpinType::DIRAC);
+ checkSpinDaughter(1, EvtSpinType::DIRAC);
+ checkSpinDaughter(2, EvtSpinType::SCALAR);
+ EvtId baryon1 = getDaug(0);
+ EvtId baryon2 = getDaug(1);
+ EvtId scalar = getDaug(2);
+ int scalarId = EvtPDL::getStdHep(scalar);
+
+ // Different form factors for the B-pi or B-K transition.
+ if ( scalarId == EvtPDL::getStdHep(EvtPDL::getId("pi+"))
+ or scalarId == EvtPDL::getStdHep(EvtPDL::getId("pi-"))
+ or scalarId == EvtPDL::getStdHep(EvtPDL::getId("pi0"))) {
+ _scalarType = "pi";
+ } else if (scalarId == EvtPDL::getStdHep(EvtPDL::getId("K+"))
+ or scalarId == EvtPDL::getStdHep(EvtPDL::getId("K-"))
+ or scalarId == EvtPDL::getStdHep(EvtPDL::getId("K0"))
+ or scalarId == EvtPDL::getStdHep(EvtPDL::getId("anti-K0"))) {
+ _scalarType = "K";
+ } else {
+ report(ERROR, "EvtGen")
+ << "EvtBBScalar::init: Can only deal with Kaons or pions as the third particle\n"
+ << "\tFound: " << scalarId << endl;
+ exit(2);
+ }
+ // check for known particles
+ setKnownBaryonTypes(baryon1);
+ setKnownBaryonTypes(baryon2);
+ double mass1 = EvtPDL::getMass(baryon1);
+ double mass2 = EvtPDL::getMass(baryon2);
+ // This whole model deals only with baryons that differ in s-u
+ if (mass1 > mass2)
+ _massRatio = (mass1-mass2) / (m_s-m_u);
+ else
+ _massRatio = (mass2-mass1) / (m_s-m_u);
+ _baryonMassSum = mass1 + mass2;
+}
+
+
+// initialize phasespace and calculate the amplitude
+void EvtBBScalar::decay(EvtParticle* p) {
+ p->initializePhaseSpace(getNDaug(), getDaugs());
+ EvtVector4R B_Momentum = p->getP4Lab();
+ EvtDiracParticle* theLambda = dynamic_cast<EvtDiracParticle*>(p->getDaug(0));
+ EvtDiracParticle* theAntiP = dynamic_cast<EvtDiracParticle*>(p->getDaug(1));
+ EvtScalarParticle* theScalar = dynamic_cast<EvtScalarParticle*>(p->getDaug(2));
+ EvtVector4R scalarMomentum = theScalar->getP4Lab();
+
+ // The amplitude consists of three matrix elements. These will be calculated one by one here.
+
+ // loop over all possible spin states
+ for (int i=0; i<2; ++i) {
+ EvtDiracSpinor lambdaPol = theLambda->spParent(i);
+ for (int j=0; j<2; ++j) {
+ EvtDiracSpinor antiP_Pol = theAntiP->spParent(j);
+ EvtVector4C theAmplitudePartA = amp_A(B_Momentum, scalarMomentum);
+ EvtComplex amplitude;
+ for (int index=0; index<4; ++index) {
+ amplitude += theAmplitudePartA.get(index)
+ * ( const_B*amp_B(theLambda, lambdaPol, theAntiP, antiP_Pol, index)
+ + const_C*amp_C(theLambda, lambdaPol, theAntiP, antiP_Pol, index) );
+ }
+ vertex(i, j, amplitude);
+ }
+ }
+}
+
+void EvtBBScalar::initProbMax()
+{
+ // setProbMax(1);
+ setProbMax(0.2); // found by trial and error
+}
+
+// Form factor f1 for B-pi transition
+const double EvtBBScalar::B_pi_f1(double t)
+{
+ FormFactor f = _f1Map[_scalarType];
+ double mv2 = f.mV*f.mV;
+ return f.value / ((1-t/mv2) * (1-f.sigma1*t/mv2+f.sigma2*t*t/mv2/mv2));
+}
+
+// Form factor f0 for B-pi transition
+const double EvtBBScalar::B_pi_f0(double t)
+{
+ FormFactor f = _f0Map[_scalarType];
+ double mv2 = f.mV*f.mV;
+ return f.value / (1 - f.sigma1*t/mv2 + f.sigma2*t*t/mv2/mv2);
+}
+
+
+// constants of the B and C parts of the amplitude
+const EvtComplex EvtBBScalar::const_B = V_ub*V_us_star*a1 - V_tb*V_ts_star*a4;
+const EvtComplex EvtBBScalar::const_C = 2*a6*V_tb*V_ts_star;
+
+// part A of the amplitude, see hep-ph/0204185
+const EvtVector4C
+EvtBBScalar::amp_A(const EvtVector4R& p4B, const EvtVector4R& p4Scalar)
+{
+ double mB2 = p4B.mass2();
+ double mScalar2 = p4Scalar.mass2();
+ double t = (p4B-p4Scalar).mass2();
+ return ((p4B+p4Scalar) - (mB2-mScalar2)/t * (p4B-p4Scalar)) * B_pi_f1(t)
+ + (mB2-mScalar2)/t * (p4B-p4Scalar) * B_pi_f0(t);
+}
+
+// part B of the amplitude, Vector and Axial Vector parts
+const EvtComplex
+EvtBBScalar::amp_B(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index)
+{
+ return amp_B_vectorPart(baryon1, b1Pol, baryon2, b2Pol, index)
+ - amp_B_axialPart(baryon1, b1Pol, baryon2, b2Pol, index);
+}
+
+
+const EvtComplex
+EvtBBScalar::amp_B_vectorPart(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index)
+{
+ double t = (baryon1->getP4Lab() + baryon2->getP4Lab()).mass2();
+ EvtGammaMatrix gamma;
+ for (int i=0; i<4; ++i) {
+ gamma += EvtTensor4C::g().get(index, i) * EvtGammaMatrix::g(i);
+ }
+ // The F2 contribution that is written out in the paper is neglected here.
+ // see hep-ph/0204185
+ return b1Pol.adjoint()* (gamma*baryonF1F2(t) *b2Pol);
+}
+
+const EvtComplex
+EvtBBScalar::amp_B_axialPart(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index)
+{
+ EvtGammaMatrix gamma;
+ for (int i=0; i<4; ++i) {
+ gamma += EvtTensor4C::g().get(index, i) * EvtGammaMatrix::g(i);
+ }
+ double t = (baryon1->getP4Lab() + baryon2->getP4Lab()).mass2();
+ double mSum = baryon1->mass() + baryon2->mass();
+ EvtVector4C momentum_upper = (baryon1->getP4Lab()+baryon2->getP4Lab());
+ EvtVector4C momentum;
+ for (int mu=0; mu<0; ++mu) {
+ EvtComplex dummy;
+ for (int i=0; i<4; ++i) {
+ dummy += EvtTensor4C::g().get(index, i)*momentum_upper.get(i);
+ }
+ momentum.set(mu, dummy);
+ }
+ return b1Pol.adjoint() * (((baryon_gA(t) * gamma +
+ EvtGammaMatrix::id()*baryon_hA(t)/mSum*momentum.get(index))
+ * EvtGammaMatrix::g5()) * b2Pol);
+}
+
+
+// part C of the amplitude, Scalar and Pseudoscalar parts
+const EvtComplex
+EvtBBScalar::amp_C(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index)
+{
+ EvtVector4C baryonSumP4_upper = baryon1->getP4Lab() + baryon2->getP4Lab();
+ EvtVector4C baryonSumP4;
+ for (int mu=0; mu<4; ++mu) {
+ EvtComplex dummy;
+ for (int i=0; i<4; ++i) {
+ dummy += EvtTensor4C::g().get(mu, i) * baryonSumP4_upper.get(i);
+ }
+ baryonSumP4.set(mu, dummy);
+ }
+ double t = (baryon1->getP4Lab() + baryon2->getP4Lab()).mass2();
+ return baryonSumP4.get(index)/(m_b-m_u)*(amp_C_scalarPart(b1Pol, b2Pol, t) + amp_C_pseudoscalarPart(b1Pol, b2Pol, t));
+}
+
+
+const EvtComplex
+EvtBBScalar::amp_C_scalarPart(const EvtDiracSpinor& b1Pol, const EvtDiracSpinor& b2Pol, double t)
+{
+ return baryon_fS(t) * b1Pol.adjoint()*b2Pol;
+}
+
+const EvtComplex
+EvtBBScalar::amp_C_pseudoscalarPart(const EvtDiracSpinor& b1Pol, const EvtDiracSpinor& b2Pol, double t)
+{
+ return baryon_gP(t) * b1Pol.adjoint()*(EvtGammaMatrix::g5()*b2Pol);
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2003 Caltech
+//
+// Module: EvtGen/EvtBBScalar
+//
+// Description:Implementation of the decay B- -> lambda p_bar pi according to
+// hep-ph/0204185, hep-ph/0211240
+// This model is intended to be applicable to all decays of the type B-> baryon baryon scalar
+//
+// Modification history:
+//
+// Jan Strube March 24th, 2006 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBBSCALAR_HH
+#define EVTBBSCALAR_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtDiracParticle.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+#include <map>
+#include <string>
+#include <vector>
+#include <bitset>
+
+struct FormFactor {
+ double value;
+ double sigma1;
+ double sigma2;
+ double mV;
+};
+
+enum Baryons {
+ Lambda, Proton, Neutron, Sigma0, Sigma_minus, Xi0, Xi_minus, nBaryons
+};
+
+
+class EvtBBScalar : public EvtDecayAmp {
+
+public:
+ EvtBBScalar();
+ std::string getName();
+ EvtDecayBase* clone();
+ void decay(EvtParticle* p);
+ void init();
+ void initProbMax();
+
+private:
+ // used values of constants
+ static const EvtComplex I;
+ static const EvtComplex V_ub;
+ static const EvtComplex V_us_star;
+ static const EvtComplex a1;
+ static const EvtComplex V_tb;
+ static const EvtComplex V_ts_star;
+ static const EvtComplex a4;
+ static const EvtComplex a6;
+
+ // used parameters in the calculation of the magnetic form factors
+ static const double x[];
+ static const double y[];
+ // quark masses as used in the model
+ static const double m_s;
+ static const double m_u;
+ static const double m_b;
+
+ // used to choose the right value for the form factor depending on the type of scalar
+ std::string _scalarType;
+ std::map<std::string, FormFactor> _f0Map;
+ std::map<std::string, FormFactor> _f1Map;
+
+ // only consider F1+F2 here
+ std::bitset<nBaryons> _baryonCombination;
+ void setKnownBaryonTypes(const EvtId& baryon);
+
+ const double B_pi_f1(double t);
+ const double B_pi_f0(double t);
+ const double baryonF1F2(double t);
+ const double G_p(double t);
+ const double G_n(double t);
+
+ const double baryon_gA(double t);
+ const double baryon_hA(double t);
+ const double baryon_gP(double t);
+ const double baryon_fS(double t);
+
+ const double D_A(double t);
+ const double F_A(double t);
+ const double D_P(double t);
+ const double F_P(double t);
+ const double D_S(double t);
+ const double F_S(double t);
+
+ // (mB1 - mB2)/(mq1 - mq1)
+ double _massRatio;
+ double _baryonMassSum;
+ const double formFactorFit(double t, const std::vector<double>& params);
+
+ static const EvtComplex const_B;
+ static const EvtComplex const_C;
+ const EvtVector4C
+ amp_A(const EvtVector4R& p4B, const EvtVector4R& p4Scalar);
+ const EvtComplex
+ amp_B(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index);
+ const EvtComplex
+ amp_B_vectorPart(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index);
+ const EvtComplex
+ amp_B_axialPart(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index);
+ const EvtComplex
+ amp_C(const EvtDiracParticle* baryon1, const EvtDiracSpinor& b1Pol
+ , const EvtDiracParticle* baryon2, const EvtDiracSpinor& b2Pol
+ , int index);
+ const EvtComplex
+ amp_C_scalarPart(const EvtDiracSpinor& b1Pol, const EvtDiracSpinor& b2Pol, double t);
+ const EvtComplex
+ amp_C_pseudoscalarPart(const EvtDiracSpinor& b1Pol, const EvtDiracSpinor& b2Pol, double t);
+
+ // initialize phasespace and calculate the amplitude for one (i=0,1) state of the photon
+ EvtComplex calcAmpliude(const EvtParticle* p, const unsigned int polState);
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtBHadronic.cc
+//
+// Description: Model for hadronic B decays. Uses naive factorization.
+//
+// Modification history:
+//
+// RYD June 14, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenModels/EvtISGW2FF.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtISGW2FF.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtBHadronic.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+using std::endl;
+
+EvtBHadronic::~EvtBHadronic() {}
+
+std::string EvtBHadronic::getName(){
+
+ return "BHADRONIC";
+
+}
+
+
+EvtDecayBase* EvtBHadronic::clone(){
+
+ return new EvtBHadronic;
+
+}
+
+
+void EvtBHadronic::init(){
+
+ // check that there are 2 argument
+ checkNArg(2);
+
+
+}
+
+void EvtBHadronic::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+
+ static EvtISGW2FF ffmodel;
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtVector4R p4[MAX_DAUG];
+ double m;
+
+ m = p->mass();
+
+
+ int i,j;
+
+ for ( i=0; i<getNDaug(); i++) {
+ p4[i]=p->getDaug(i)->getP4();
+ }
+
+ int bcurrent,wcurrent;
+ int nbcurrent=0;
+ int nwcurrent=0;
+
+ bcurrent=(int)getArg(0);
+ wcurrent=(int)getArg(1);
+
+ EvtVector4C jb[5],jw[5];
+ EvtTensor4C g,tds;
+
+ EvtVector4R p4b;
+ p4b.set(p->mass(),0.0,0.0,0.0);
+
+ EvtVector4R q;
+ double q2;
+
+ EvtComplex ep_meson_bb[5];
+ double f,gf,ap,am;
+ double fp,fm;
+ double hf,kf,bp,bm;
+ EvtVector4R pp,pm;
+ EvtVector4C ep_meson_b[5];
+
+ switch (bcurrent) {
+
+ // D0
+ case 1:
+ q=p4b-p4[0];
+ q2=q*q;
+ nbcurrent=1;
+ ffmodel.getscalarff(B0,D0,EvtPDL::getMeanMass(D0),
+ EvtPDL::getMeanMass(getDaugs()[1]),&fp,&fm);
+ jb[0]=EvtVector4C(fp*(p4b+p4[0])-fm*q);
+ break;
+ // D*
+ case 2:
+ q=p4b-p4[0];
+ q2=q*q;
+ nbcurrent=3;
+ ffmodel.getvectorff(B0,DST0,EvtPDL::getMeanMass(DST0),q2,&f,&gf,&ap,&am);
+
+ g.setdiag(1.0,-1.0,-1.0,-1.0);
+ tds = -f*g
+ -ap*(directProd(p4b,p4b)+directProd(p4b,p4[0]))
+ -gf*EvtComplex(0.0,1.0)*dual(directProd(p4[0]+p4b,p4b-p4[0]))
+ -am*((directProd(p4b,p4b)-directProd(p4b,p4[0])));
+ jb[0]=tds.cont1(p->getDaug(0)->epsParent(0).conj());
+ jb[1]=tds.cont1(p->getDaug(0)->epsParent(1).conj());
+ jb[2]=tds.cont1(p->getDaug(0)->epsParent(2).conj());
+ break;
+ // D1
+ case 3:
+ q=p4b-p4[0];
+ q2=q*q;
+ nbcurrent=3;
+ ffmodel.getvectorff(B0,D3P10,EvtPDL::getMeanMass(D3P10),q2,&f,&gf,&ap,&am);
+
+ g.setdiag(1.0,-1.0,-1.0,-1.0);
+ tds = -f*g
+ -ap*(directProd(p4b,p4b)+directProd(p4b,p4[0]))
+ -gf*EvtComplex(0.0,1.0)*dual(directProd(p4[0]+p4b,p4b-p4[0]))
+ -am*((directProd(p4b,p4b)-directProd(p4b,p4[0])));
+ jb[0]=tds.cont1(p->getDaug(0)->epsParent(0).conj());
+ jb[1]=tds.cont1(p->getDaug(0)->epsParent(1).conj());
+ jb[2]=tds.cont1(p->getDaug(0)->epsParent(2).conj());
+
+ break;
+ // D2*
+ case 4:
+ q=p4b-p4[0];
+ q2=q*q;
+ nbcurrent=5;
+ ffmodel.gettensorff(B0,D3P20,EvtPDL::getMeanMass(D3P20),q2,&hf,&kf,&bp,&bm);
+ g.setdiag(1.0,-1.0,-1.0,-1.0);
+
+ ep_meson_b[0] = ((p->getDaug(0)->epsTensorParent(0)).cont2(p4b)).conj();
+ ep_meson_b[1] = ((p->getDaug(0)->epsTensorParent(1)).cont2(p4b)).conj();
+ ep_meson_b[2] = ((p->getDaug(0)->epsTensorParent(2)).cont2(p4b)).conj();
+ ep_meson_b[3] = ((p->getDaug(0)->epsTensorParent(3)).cont2(p4b)).conj();
+ ep_meson_b[4] = ((p->getDaug(0)->epsTensorParent(4)).cont2(p4b)).conj();
+
+ pp=p4b+p4[0];
+ pm=p4b-p4[0];
+
+ ep_meson_bb[0]=ep_meson_b[0]*(p4b);
+ ep_meson_bb[1]=ep_meson_b[1]*(p4b);
+ ep_meson_bb[2]=ep_meson_b[2]*(p4b);
+ ep_meson_bb[3]=ep_meson_b[3]*(p4b);
+ ep_meson_bb[4]=ep_meson_b[4]*(p4b);
+
+ jb[0]=EvtComplex(0.0,(1.0)*hf)*dual(directProd(pp,pm)).cont2(ep_meson_b[0])
+ -kf*ep_meson_b[0]
+ -bp*ep_meson_bb[0]*pp-bm*ep_meson_bb[0]*pm;
+
+ jb[1]=EvtComplex(0.0,(1.0)*hf)*dual(directProd(pp,pm)).cont2(ep_meson_b[1])
+ -kf*ep_meson_b[1]
+ -bp*ep_meson_bb[1]*pp-bm*ep_meson_bb[1]*pm;
+
+ jb[2]=EvtComplex(0.0,(1.0)*hf)*dual(directProd(pp,pm)).cont2(ep_meson_b[2])
+ -kf*ep_meson_b[2]
+ -bp*ep_meson_bb[2]*pp-bm*ep_meson_bb[2]*pm;
+
+ jb[3]=EvtComplex(0.0,(1.0)*hf)*dual(directProd(pp,pm)).cont2(ep_meson_b[3])
+ -kf*ep_meson_b[3]
+ -bp*ep_meson_bb[3]*pp-bm*ep_meson_bb[3]*pm;
+
+ jb[4]=EvtComplex(0.0,(1.0)*hf)*dual(directProd(pp,pm)).cont2(ep_meson_b[4])
+ -kf*ep_meson_b[4]
+ -bp*ep_meson_bb[4]*pp-bm*ep_meson_bb[4]*pm;
+ break;
+ // D_0*
+ case 5:
+ q=p4b-p4[0];
+ q2=q*q;
+ double f,gf,ap,am;
+ nbcurrent=3;
+ ffmodel.getvectorff(B0,D1P10,EvtPDL::getMeanMass(D1P10),q2,&f,&gf,&ap,&am);
+ g.setdiag(1.0,-1.0,-1.0,-1.0);
+ tds = -f*g
+ -ap*(directProd(p4b,p4b)+directProd(p4b,p4[0]))
+ +gf*EvtComplex(0.0,1.0)*dual(directProd(p4[0]+p4b,p4b-p4[0]))
+ -am*((directProd(p4b,p4b)-directProd(p4b,p4[0])));
+ jb[0]=tds.cont1(p->getDaug(0)->epsParent(0).conj());
+ jb[1]=tds.cont1(p->getDaug(0)->epsParent(1).conj());
+ jb[2]=tds.cont1(p->getDaug(0)->epsParent(2).conj());
+ break;
+ // D_1
+ case 6:
+ q=p4b-p4[0];
+ q2=q*q;
+ nbcurrent=1;
+ ffmodel.getscalarff(B0,D3P00,EvtPDL::getMeanMass(D3P00),q2,&fp,&fm);
+ jb[0]=fp*(p4b+p4[0])+fm*q;
+ break;
+ default:
+ report(ERROR,"EvtGen")<<"In EvtBHadronic, unknown hadronic current."<<endl;
+
+ }
+
+ double norm;
+
+ switch (wcurrent) {
+
+
+ case 1: case 3: case 4:
+ nwcurrent=1;
+ jw[0]=p4[getNDaug()-1];
+ break;
+
+ case 2: case 5: case 6:
+ nwcurrent=3;
+ norm=1.0/sqrt(p4[1].get(0)*p4[1].get(0)/p4[1].mass2()-1.0);
+ jw[0]=norm*p->getDaug(getNDaug()-1)->epsParent(0);
+ jw[1]=norm*p->getDaug(getNDaug()-1)->epsParent(1);
+ jw[2]=norm*p->getDaug(getNDaug()-1)->epsParent(2);
+ break;
+
+
+ default:
+ report(ERROR,"EvtGen")<<"In EvtBHadronic, unknown W current."<<endl;
+
+ }
+
+ if (nbcurrent==1&&nwcurrent==1){
+ vertex(jb[0]*jw[0]);
+ return;
+ }
+
+ if (nbcurrent==1){
+ for(j=0;j<nwcurrent;j++){
+ vertex(j,jb[0]*jw[j]);
+ }
+ return;
+ }
+
+ if (nwcurrent==1){
+ for(j=0;j<nbcurrent;j++){
+ vertex(j,jb[j]*jw[0]);
+ }
+ return;
+ }
+
+ for(j=0;j<nbcurrent;j++){
+ for(i=0;i<nwcurrent;i++){
+ vertex(j,i,jb[j]*jw[i]);
+ }
+ }
+ return;
+
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtBHadronic.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+#ifndef EVTBHADRONIC_HH
+#define EVTBHADRONIC_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtBHadronic:public EvtDecayAmp{
+
+public:
+
+ EvtBHadronic() {}
+ virtual ~EvtBHadronic();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtBTo3pi.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+C===================================================================
+C This package is providing a B -->-- 3pions decay generator
+C Its is composed of the following subroutines:
+C
+C [*] EVTHowToUse
+C This is an How To Use routine where one may find the
+C implementation of the time dependance: That is to
+C say that it shows how the output of the routine is
+C supposed to be used in the mind of the authors.
+C
+C===================================================================
+C [0] EVT3pions
+C The routine to be called. Note that on the first call
+C some initialization will be made, in particular the
+C computation of a normalization factor designed to help
+C the subsequent time-dependent generation of events.
+C The normalisation done inside EVT3pions is such that
+C at the level of the time implementation, the maximum
+C time-dependant weight is unity : nothing is to be
+C computed to generate unity-weight events. The exact
+C meaning of the above is made explicit in the HowToUse
+C routine.
+C [1] first_step
+C Generation of the kinematics of the 3 pions
+C It uses the function evtranf which is a random number
+C generator providing an uniform distribution
+C of Real*4 random number between 0 and 1
+C [2] compute
+C return the amplitudes of the B0 -->-- 3pions
+C and of the B0_bar -->-- 3pions
+C corrected for the generation mechanism
+C The notations used are the ones of the paper of
+C A. Snyder and H. Quinn [Phys.Rev.D48 (1993) 2139]
+C [3] BreitWigner
+C compute the Breit-Wigner of the contributing rho s
+C taking into account the cosine term linked to the
+C zero-helicity of the rho s. There is three forms of
+C Breit-Wigners available. The first one is the simple
+C non-relativistic form, while the second and third
+C ones are more involved relativistic expressions which
+C in addition incorporate the contributions of three
+C rho resonances [rho(770:1450:1700)]. The parameters
+C used are the ones resulting from the ALEPH analysis
+C which might be found in CERN-PPE:97013 (submitted to
+C Zeitschrift für Physik C). The two parametrizations
+C of the relativistic Breit-Wigners are the ones of
+C Kuhn-SantaMaria [default] and of Gounaris-Sakurai.
+C The default setting is the non-relativistic Breit-
+C Wigner form.
+C [4] Set_constants
+C Set the constants values, from the pion mass to the
+C penguin contributions. It is called by EVT3pions
+C
+C And other routines which do not deserve comment here.
+C===================================================================
+c
+c call EvtHowToUse
+c Stop
+c End
+
+ subroutine EvtHowToUse
+
+ Implicit none
+ Real*8 alphaCP
+ Integer iset,number,i,j,jset,N_gener,N_asked
+ Real*8 p_pi_plus(4),p_pi_minus(4),p_gamma_1(4),p_gamma_2(4)
+ Real*8 q_pi_plus(4),q_pi_minus(4),q_gamma_1(4),q_gamma_2(4)
+ Real*8 CPweight
+ Real*8 Real_B0,Imag_B0,Real_B0bar,Imag_B0bar
+ Real*8 t3pions,ttag,t,Weight,Weight_max
+ Real*8 AB0,AB0bar,Ainter,xd
+ Real*8 m_rhop_2,m_rhom_2
+ Real*4 Evtranf,Tag
+ Real*8 Kin_moy,Kin_moy2,Kin,Lambda
+
+ alphaCP = 0.4
+ Lambda = Dsin(2.*alphaCP)
+ Kin_moy =0.
+ Kin_moy2 =0.
+ N_gener =0
+ N_asked =100000
+
+ weight_max = 1.0
+
+c xd is not needed by the generator but by the time-dependant
+C sector of the general BaBar Generator.
+ xd = 0.71
+
+c run : Simulation of the Anders Ryd Generator
+
+ Do number=1,N_asked ! weighted events as generated here
+
+ If(number.eq.1) then
+ iset=10000 ! 10^4 events are used to normalize amplitudes
+ Else
+ iset=0 ! iset must be reset to zero after the first call
+ End If
+
+c Here is the call to EVT3pions !!!!!!!!!!!!!!!!!!!!!!!!!
+c communication of data is done by argument only <<<<<<<<
+ call EVT3pions(
+ + alphaCP,iset,
+ + p_pi_plus,p_pi_minus,p_gamma_1,p_gamma_2,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0bar)
+
+C that is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+c what follows is just to show how the ouput of EVT3pions
+C should be used at the time dependant level.
+c Decay time of the B->-3 pions
+ 1 Continue
+ t3pions=-Alog(Evtranf())
+ If(t3pions.gt.10.) Go to 1
+c Decay time of the tagging B
+ 2 Continue
+ ttag =-Alog(Evtranf())
+ If(ttag .gt.10.) Go to 2
+c time-difference between the 3pi decay and the tagging decay
+ t=t3pions-ttag
+c select the Tag
+ Tag =evtranf()
+C get the relevant quantities
+ AB0 = Real_B0 **2 + Imag_B0 **2
+ AB0bar= Real_B0bar**2 + Imag_B0bar**2
+ Ainter= Real_B0*Imag_B0bar - Imag_B0*Real_B0bar
+c generate acording to the tag
+ If(Tag.gt.0.5) Then
+
+c a B0bar tag => at t3pions=ttag the decay is one from a B0
+ Weight= AB0 *Dcos(xd*t/2.D+00)**2
+ + + AB0bar*Dsin(xd*t/2.D+00)**2
+ + - Ainter*Dsin(xd*t )
+
+ Else
+
+c a B0 tag => at t3pions=ttag the decay is one from a B0bar
+ Weight= AB0bar*Dcos(xd*t/2.D+00)**2
+ + + AB0 *Dsin(xd*t/2.D+00)**2
+ + + Ainter*Dsin(xd*t )
+
+ End If
+c Print*,'weight',weight
+ If(Weight.Gt.evtranf()) Then
+c Print*,'unweighted events'
+c----------------------------------------------------------------------------
+c unweighted event production
+c----------------------------------------------------------------------------
+ N_gener=N_gener+1
+C here is just a Dalitz plot and a few prints
+
+ m_rhop_2=(p_pi_plus (4)+p_gamma_1(4)+p_gamma_2(4))**2
+ m_rhom_2=(p_pi_minus(4)+p_gamma_1(4)+p_gamma_2(4))**2
+ do j=1,3
+ m_rhop_2=m_rhop_2-(p_pi_plus (j)+p_gamma_1(j)+p_gamma_2(j))**2
+ m_rhom_2=m_rhom_2-(p_pi_minus(j)+p_gamma_1(j)+p_gamma_2(j))**2
+ end do
+
+c here is a check that weight_max is one
+
+ If(Weight.gt.Weight_max) Then
+ Weight_max=Weight
+ Print*,' overweighted event found at weight = ',Weight_max
+ End If
+
+c here is an example of use of the iset<0 option.
+c One does not want to generate a new event but just to
+c compute the matrix element of the CP conjugate event:
+c the example provided below uses the Kin variable, but
+c this kind of facility will be very usefull for other
+c types of applications. For example, to deal with events
+c in a likelihood analysis, one needs to compute matrix
+c elements, and it would be nice to be able to do that from
+c the BaBar generator itself, to be sure that the Physics
+c is the same.
+
+ q_pi_plus (4)= p_pi_minus(4)
+ q_pi_minus(4)= p_pi_plus (4)
+ q_gamma_1 (4)= p_gamma_1 (4)
+ q_gamma_2 (4)= p_gamma_2 (4)
+
+ do i=1,3
+ q_pi_plus (i)= - p_pi_minus(i)
+ q_pi_minus(i)= - p_pi_plus (i)
+ q_gamma_1 (i)= - p_gamma_1 (i)
+ q_gamma_2 (i)= - p_gamma_2 (i)
+ end do
+
+c Here is the call to EVT3pions !!!!!!!!!!!!!!!!!!!!!!!!!
+c with the iset<0 option
+
+ jset=-1
+
+ call EVT3pions(
+ + alphaCP,jset,
+ + q_pi_plus,q_pi_minus,q_gamma_1,q_gamma_2,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0bar)
+c that is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+C get the relevant quantities
+ AB0 = Real_B0 **2 + Imag_B0 **2
+ AB0bar= Real_B0bar**2 + Imag_B0bar**2
+ Ainter= Real_B0*Imag_B0bar - Imag_B0*Real_B0bar
+
+ If(Tag.lt.0.5) Then
+
+c a B0bar tag => at t3pions=ttag the decay is one from a B0
+ CPWeight= AB0 *Dcos(xd*t/2.D+00)**2
+ + + AB0bar*Dsin(xd*t/2.D+00)**2
+ + - Ainter*Dsin(xd*t )
+
+ Else
+
+c a B0 tag => at t3pions=ttag the decay is one from a B0bar
+ CPWeight= AB0bar*Dcos(xd*t/2.D+00)**2
+ + + AB0 *Dsin(xd*t/2.D+00)**2
+ + + Ainter*Dsin(xd*t )
+
+ End If
+
+ Kin = (Weight-CPweight)/(Weight+CPweight)/Lambda
+ Kin_moy = Kin_moy + Kin
+ Kin_moy2 = Kin_moy2 + Kin**2
+
+c----------------------------------------------------------------------------
+ End If
+
+c end of the loop over events
+ End Do
+
+ Print*,'number of unity-weight events generated : ',N_gener
+ Print*,'number of trials : ',N_asked
+ Print*,' measurement of sin(2 alpha) = ',
+ + Kin_moy/Kin_moy2
+ Print*,' true value = ',Lambda
+
+ End
+C===================================================================
+ subroutine Evt3pions(
+ + alpha_input,iset,
+ + p_pi_plus,p_pi_minus,p_gamma_1,p_gamma_2,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0bar)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This is the routine to be called by the Main generator
+c****************************************************************************
+c --- Inputs are :
+c
+c --- alpha : the value of the alpha angle (radians)
+c Note that the amplitude which are returned incorporate the
+c CP violating phase present in the mixing.
+c
+c --- iset : to initialize the generator
+c iset should be set to the number
+c of events to be used for the pre-run
+c devoted to the computation of the
+c normalization factor designed to help
+c the subsequent time-dependent generation
+c of events.
+c After the first call iset should be
+c set to 0.
+c**************************************************************************** set to 0.
+c --- Outputs are :
+c
+c --- p_pi_plus : the four momentum of the pi+
+c --- p_pi_minus: the four momentum of the pi-
+c --- p_gamma_1 : the four momentum of the first photon
+c --- p_gamma_2 : the four momentum of the second photon
+c Note that : the energy is stored in the fourth component
+c the values are the ones of the B rest frame
+c a random rotation has been applied
+c
+c --- Real_B0 : The real part of the amplitude of
+c the B0 ->- 3 pions decay
+c --- Imag_B0 : The imaginary part of the amplitude of
+c the B0 ->- 3 pions decay
+c --- Real_B0bar: The real part of the amplitude of
+c the B0bar ->- 3 pions decay
+c --- Imag_B0bar: The imaginary part of the amplitude of
+c the B0bar ->- 3 pions decay
+c****************************************************************************
+c-----------------------------------------------------------------
+ Implicit none
+#include "EvtGenModels/EvtBTo3pi.inc"
+ Real*8 alpha_input
+ Real*8 beta_input
+ Integer iset
+ Real*8 p_pi_plus(4),p_pi_minus(4),p_gamma_1(4),p_gamma_2(4)
+ Real*8 Real_B0,Imag_B0,Real_B0bar,Imag_B0bar
+
+c Working quantities
+ Integer i,number
+ Real*8 p1(5),p2(5),p3(5),Gamma1(5),Gamma2(5)
+ Real*8 factor,factor_max,AB0,AB0bar,Ainter,R1,R2
+ data factor_max/1.D+00/
+ Integer ierr
+ ierr =0
+c-------------------------------------------------------------------
+ If(iset.eq.0) Then
+c-------------------------------------------------------------------
+c this is the normal mode of operation
+c First, generate the kinematics
+
+ p1(5)=M_pip**2
+ p2(5)=M_pi0**2
+ p3(5)=M_pim**2
+
+ 10 continue
+
+
+ call Evtfirst_step(p1,p2,p3)
+
+c Then, compute the amplitudes
+
+
+ Call EvtCompute(p1,p2,p3,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0bar,iset,ierr)
+ if(ierr.ne.0) Go To 10
+
+c-------------------------------------------------------------------
+ ElseIf(iset.lt.0) Then
+c-------------------------------------------------------------------
+c This is an user mode of operation where the kinematics is
+c provided by the user who only wants the corresponding amplitudes
+c to be computed
+
+ Do i=1,4
+ p1(i)= p_pi_plus (i)
+ p2(i)= p_gamma_1 (i) + p_gamma_2 (i)
+ p3(i)= p_pi_minus(i)
+ End Do
+ p1(5)= M_pip**2
+ p2(5)= M_pi0**2
+ p3(5)= M_pim**2
+
+ Call EvtCompute(p1,p2,p3,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0bar,iset,ierr)
+
+ if(ierr.ne.0) Then
+ Print*,'the provided kinematics are not physical'
+ Print*,'ierr=',ierr
+ Print*,'the program will stop'
+ Stop
+ endif
+c-------------------------------------------------------------------
+ ElseIf(iset.gt.0) Then
+c-------------------------------------------------------------------
+c This is the pre-run mode of operation where initializations are
+c performed.
+
+ factor_max= 0
+
+C Ghm : beta is not needed for this generation - put a default value
+ beta_input = 0.362
+C
+ call Evtset_constants(alpha_input, beta_input)
+ p1(5)=M_pip**2
+ p2(5)=M_pi0**2
+ p3(5)=M_pim**2
+
+c pre-run
+ Do number=1,iset
+
+ 20 continue
+
+ call Evtfirst_step(p1,p2,p3)
+
+ Call EvtCompute(p1,p2,p3,Real_B0,Imag_B0,Real_B0bar,
+ + Imag_B0bar,iset,ierr)
+ if(ierr.ne.0) Go To 20
+ AB0 = Real_B0 **2 + Imag_B0 **2
+ AB0bar= Real_B0bar**2 + Imag_B0bar**2
+ Ainter= Real_B0*Imag_B0bar - Imag_B0*Real_B0bar
+ R1 = (AB0-AB0bar) /(AB0+AB0bar)
+ R2 =(2.D+00*Ainter)/(AB0+AB0bar)
+ factor=(1.D+00+Dsqrt(R1**2+R2**2))*(AB0+AB0bar)/2.D+00
+ If(factor.gt.factor_max) factor_max=factor
+
+ End Do
+c end of the pre-run
+c Normalization factor
+ factor_max=1.D+00/Dsqrt(factor_max)
+c Print*,'factor_max',factor_max,p1,p2,p3
+c-------------------------------------------------------------------
+ End If
+c-------------------------------------------------------------------
+
+ Real_B0 =Real_B0 * factor_max
+ Imag_B0 =Imag_B0 * factor_max
+ Real_B0bar=Real_B0bar * factor_max
+ Imag_B0bar=Imag_B0bar * factor_max
+
+ if(iset.lt.0) return
+
+c P1,p2,p3 ---> random rotation in B rest frame
+
+ Call EvtRotation(p1,1)
+ Call EvtRotation(p2,0)
+ Call EvtRotation(p3,0)
+
+C Desintegrate the pi_0
+
+ Call EvtGammaGamma(p2,Gamma1,Gamma2)
+
+C Feed the output four vectors
+
+ Do i=1,4
+
+ p_pi_plus (i)=p1 (i)
+ p_pi_minus(i)=p3 (i)
+ p_gamma_1 (i)=Gamma1(i)
+ p_gamma_2 (i)=Gamma2(i)
+
+ End Do
+
+ Return
+
+ End
+
+c===================================================================
+ subroutine Evtfirst_step(P1,P2,P3)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This routine generates the 5-vectors P1,P2,P3
+c --- Associated respectively with the Pi+,Pi0 and Pi-
+c --- P1(1) = Px
+c --- P1(2) = Py
+c --- P1(3) = Pz
+c --- P1(4) = E
+c --- P1(5) = M**2
+c ----------------------------------------------------------
+c --- Input Four Vectors
+C --- Particle [1] is the pi+
+C --- Particle [2] is the pi0
+C --- Particle [3] is the pi-
+c ----------------------------------------------------------
+
+c ----------------------------------------------------------
+c --- commons
+c ----------------------------------------------------------
+#include "EvtGenModels/EvtBTo3pi.inc"
+c ----------------------------------------------------------
+c --- Used Functions
+c ----------------------------------------------------------
+
+ real evtranf
+
+c ----------------------------------------------------------
+c --- Variables in Argument
+c ----------------------------------------------------------
+
+ real*8 P1(5),P2(5),P3(5)
+
+c ----------------------------------------------------------
+c --- Local Variables
+c ----------------------------------------------------------
+
+ real*8 m12,min_m12, max_m12
+ real*8 m13,min_m13, max_m13
+ real*8 m23,min_m23, max_m23
+ Real*8 cost13,cost12,cost23
+
+ real*8 p1mom,p2mom,p3mom
+
+ real*8 x, y, z, mass
+ integer i
+C There is two ways of generating the events:
+C The first one used a pole-compensation method to generate the
+C events efficiently taking into account the poles due to the
+C Breit-Wigners of the rho s. It is activated by setting
+C Phase_Space to .false.
+C The second one generates events according to phase space. It is
+C inneficient but allows the exploration of the full Dalitz plot
+C in an uniform way. It was found to be usefull fopr some peculiar
+C applications. It is activated by setting
+C Phase_space to .true.
+C Note that in that case, the generation is no longer correct.
+
+ Logical Phase_space
+ data Phase_space/.false./
+
+c initialize to avoid warning on Linux.
+ mass=0.0
+
+c ----------------------------------------------------------
+c --- Computation
+c ----------------------------------------------------------
+ max_m12 = M_B**2
+ min_m12 = P1(5) + P2(5)
+
+ max_m13 = M_B**2
+ min_m13 = P1(5) + P3(5)
+
+ max_m23 = M_B**2
+ min_m23 = P2(5) + P3(5)
+
+
+100 Continue
+
+c ----------------------------------------------------------
+c --- Generation of the Mass of the Rho(+,-,0)
+c ----------------------------------------------------------
+
+ If(.not.Phase_space) Then
+ y = evtranf()*PI - PI/2.
+ x = Dtan(y)
+ mass = x*Gam_rho/2. +Mass_rho
+ End If
+
+c ----------------------------------------------------------
+c --- z is the Flag needed to choose between the generation
+c --- of a Rho+, a Rho-,or a Rho0
+c ----------------------------------------------------------
+
+ z = 3.* evtranf()
+
+ if(z.lt.1.) Then
+
+ If(Phase_space) Then
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ Else
+ m12 = mass**2
+ End If
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ m23 = MB2 - m12 - m13
+ else if (z.lt.2.) Then
+
+ If(Phase_space) Then
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ Else
+ m13 = mass**2
+ End If
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ m23 = MB2 - m12 - m13
+ else
+
+ If(Phase_space) Then
+ m23 = evtranf()*(max_m23-min_m23)+min_m23
+ Else
+ m23 = mass**2
+ End If
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ m13 = MB2 - m12 - m23
+ endif
+
+c ----------------------------------------------------------
+c --- Check that the physics is OK :
+c --- Are the invariant Masses in allowed ranges ?
+c ----------------------------------------------------------
+
+ If(m23.lt.min_m23.or.m23.gt.max_m23) Go to 100
+ If(m13.lt.min_m13.or.m13.gt.max_m13) Go to 100
+ If(m12.lt.min_m12.or.m12.gt.max_m12) Go to 100
+
+c ----------------------------------------------------------
+c --- Are the Cosines of the angles between particles
+c --- Between -1 and +1 ?
+c ----------------------------------------------------------
+
+ P1(4)=(M_B**2+P1(5)-m23)/(2.*M_B)
+ P2(4)=(M_B**2+P2(5)-m13)/(2.*M_B)
+ P3(4)=(M_B**2+P3(5)-m12)/(2.*M_B)
+ if (p1(4)**2-P1(5).le.0.0) go to 100
+ if (p2(4)**2-P2(5).le.0.0) go to 100
+ if (p3(4)**2-P3(5).le.0.0) go to 100
+ p1mom=Dsqrt(p1(4)**2-P1(5))
+ p2mom=Dsqrt(p2(4)**2-P2(5))
+ p3mom=Dsqrt(p3(4)**2-P3(5))
+ cost13=(2.*p1(4)*p3(4)+P1(5)+p3(5)-m13)/(2.*p1mom*p3mom)
+ cost12=(2.*p1(4)*p2(4)+P1(5)+p2(5)-m12)/(2.*p1mom*p2mom)
+ cost23=(2.*p2(4)*p3(4)+P2(5)+p3(5)-m23)/(2.*p2mom*p3mom)
+ If(Dabs(cost13).gt.1.) Go to 100
+ If(Dabs(cost12).gt.1.) Go to 100
+ If(Dabs(cost23).gt.1.) Go to 100
+
+c ----------------------------------------------------------
+c --- Filling the 5-vectors P1,P2,P3
+c ----------------------------------------------------------
+
+ P3(1) = 0
+ P3(2) = 0
+ p3(3) = p3mom
+
+ P1(3) = p1mom*cost13
+ P1(1) = p1mom*Dsqrt(1.D+00-cost13**2)
+ p1(2) = 0.
+
+ Do i=1,3
+ P2(i)=-p1(i)-p3(i)
+ End do
+
+ END
+
+
+c======================================================================
+ Subroutine EvtCompute(p1,p2,p3,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0bar,iset,ierr)
+c-----------------------------------------------------------------------
+ IMPLICIT None
+#include "EvtGenModels/EvtBTo3pi.inc"
+
+
+ Real*8 m12, m13, m23, W12, W13, W23, Wtot
+ Real*4 evt_gmas
+ Complex*16 MatBp,MatBm
+ Real*8 Real_B0,Imag_B0,Real_B0bar,Imag_B0bar
+ Integer Iset,ierr
+ Real*8 p1(5),p2(5),p3(5)
+
+ COMPLEX*16 Mat_rhop,Mat_rhom,Mat_rho0
+ Complex*16 BreitWigner,Mat_1,Mat_2,Mat_3
+c ----------------------------------------------------------------
+C --- Account for the pole compensation
+c ----------------------------------------------------------------
+ ierr = 0
+
+ if(evt_gmas(p1,p2).lt.0.or.evt_gmas(p1,p3)
+ + .lt.0.or.evt_gmas(p2,p3).lt.0) Then
+ ierr=1
+ return
+ endif
+
+ m12 = sqrt(evt_gmas(p1,p2))
+ m13 = sqrt(evt_gmas(p1,p3))
+ m23 = sqrt(evt_gmas(p2,p3))
+
+ W12 = (1./m12)*1./((Mass_rho - m12)**2+(Gam_rho/2.)**2)
+ W13 = (1./m13)*1./((Mass_rho - m13)**2+(Gam_rho/2.)**2)
+ W23 = (1./m23)*1./((Mass_rho - m23)**2+(Gam_rho/2.)**2)
+
+ If(iset.ge.0) Then
+ Wtot = 1./Dsqrt(W12 + W13 + W23)
+ else
+ Wtot = 1.
+ endif
+
+c ----------------------------------------------------------------
+C --- Compute Breit-Wigners
+c ----------------------------------------------------------------
+
+ Mat_rhop=BreitWigner(p1,p2,p3,ierr)
+ Mat_rhom=BreitWigner(p2,p3,p1,ierr)
+ Mat_rho0=BreitWigner(p1,p3,p2,ierr)
+
+
+c ----------------------------------------------------------------
+C --- Build up the amplitudes
+c ----------------------------------------------------------------
+
+ Mat_1 = Mat_s3*Mat_rhop
+ Mat_2 = Mat_s4*Mat_rhom
+ Mat_3 = Mat_s5*Mat_rho0*0.5D+00
+
+ MatBp = (Mat_1+Mat_2+Mat_3) * Wtot
+
+ Mat_1 = Nat_s3*Mat_rhom
+ Mat_2 = Nat_s4*Mat_rhop
+ Mat_3 = Nat_s5*Mat_rho0*0.5D+00
+
+ MatBm = (Mat_1+Mat_2+Mat_3) * Wtot
+
+c Pick up the Real and Imaginary parts
+
+c changed Real to DBLE and Imag DIMAG to make it complie
+c with Absoft and g77 (ryd)
+
+ Real_B0 = DBLE(MatBp)
+ Imag_B0 = DIMAG(MatBp)
+
+ Real_B0bar = DBLE(MatBm)
+ Imag_B0bar = DIMAG(MatBm)
+
+ Return
+ End
+
+c======================================================================
+ Function BreitWigner(p1,p2,p3,ierr)
+c----------------------------------------------------------------------
+ IMPLICIT None
+#include "EvtGenModels/EvtBTo3pi.inc"
+ Complex *16 BreitWigner,EvtCRhoF_W
+ Logical Aleph
+ Integer ierr
+ Data Aleph /.true./
+
+c ---------------------------------------------------------------
+c --- Input Four Vectors
+c ---------------------------------------------------------------
+ Real*8 p1(5),p2(5),p3(5)
+
+c ---------------------------------------------------------------
+C --- intermediate variables
+c ---------------------------------------------------------------
+ Real*8 E12_2,m12_2,beta,gamma,argu,m13_2,costet,coscms,m12
+ Real*8 Factor,Num_real,Num_imag
+ Integer i
+ Real *8 p1z,p1zcms12,e1cms12,p1cms12
+
+c ---------------------------------------------------------------
+C --- Boost factor
+c ---------------------------------------------------------------
+
+ BreitWigner=Dcmplx(0,0)
+
+
+ ierr = 0
+ E12_2=(p1(4)+p2(4))**2
+ m12_2=E12_2
+ Do i=1,3
+ m12_2=m12_2-(p1(i)+p2(i))**2
+ End Do
+ Argu = 1.D+00 - m12_2 / E12_2
+
+ If(argu.gt.0.) Then
+ beta = Dsqrt(Argu)
+ Else
+ Print *,'Abnormal beta ! Argu = ',Argu
+
+ Argu = 0.
+ Beta = 0.
+ End If
+
+ If(m12_2.gt.0.)Then
+ m12 = Dsqrt(m12_2)
+ Else
+ Print *,'Abnormal m12 ! m12_2 = ',m12_2
+ Print*,'p1 = ',p1
+ Print*,'p2 = ',p2
+ Print*,'p3 = ',p3
+ Stop
+ End if
+
+ gamma=Dsqrt(E12_2/m12_2)
+c ---------------------------------------------------------------
+C --- get the cosine in the B CMS
+c ---------------------------------------------------------------
+
+ m13_2=(p1(4)+p3(4))**2
+ Do i=1,3
+ m13_2=m13_2-(p1(i)+p3(i))**2
+ End Do
+ if(m13_2.lt.0) Go To 50
+ if((p1(4)**2-p1(5)).lt.0) Go To 50
+ if((p3(4)**2-p3(5)).lt.0) Go To 50
+ costet= (2.D+00*p1(4)*p3(4)-m13_2+p1(5)+p3(5))
+ > /
+ > (2.D+00*Dsqrt( (p1(4)**2-p1(5)) * (p3(4)**2-p3(5)) ))
+
+c ---------------------------------------------------------------
+C --- get the costet in the 1-2 CMS
+c ---------------------------------------------------------------
+
+ p1z=dsqrt(P1(4)**2-p1(5))*costet
+ p1zcms12=gamma*(p1z+beta*P1(4))
+ e1cms12 =gamma*(p1(4)+beta*p1z)
+ p1cms12 =Dsqrt(e1cms12**2-p1(5))
+ coscms=p1zcms12/p1cms12
+
+c ---------------------------------------------------------------
+C --- Build the Breit Wigner
+c ---------------------------------------------------------------
+
+ If(aleph) then
+ BreitWigner= coscms * EvtCRhoF_W( m12_2 )
+ else
+ Factor = 2.D+00* ( (Mass_rho-m12)**2+(0.5D+00*Gam_rho)**2 )
+ Factor = coscms * Gam_rho / Factor
+ Num_real= (Mass_rho-m12) * Factor
+ Num_imag= 0.5D+00*Gam_rho * Factor
+ BreitWigner=Dcmplx(Num_real,Num_imag)
+ End if
+
+ Return
+ 50 continue
+ ierr = 2
+ Return
+ End
+
+c======================================================================
+ Subroutine EvtSet_Constants(balpha, bbeta)
+c----------------------------------------------------------------------
+ IMPLICIT None
+#include "EvtGenModels/EvtBTo3pi.inc"
+
+c -------------------------------------------------------------
+c --- Basic matrix elements
+c -------------------------------------------------------------
+
+ Complex *16 Mat_Tp0,Mat_Tm0,Mat_T0p,Mat_T0m,Mat_Tpm,Mat_Tmp
+ > ,Mat_P1,Mat_P0
+ > ,Nat_Tp0,Nat_Tm0,Nat_T0p,Nat_T0m,Nat_Tpm,Nat_Tmp
+ > ,Nat_P1,Nat_P0, Mat_Ppm, Mat_Pmp
+ > ,StrongExp
+ Real*8 balpha, bbeta
+ Real*8 calpha,salpha
+ Real*8 cbeta,sbeta
+ Real*8 StrongPhase
+ Real*8 Rho_gen,Eta_gen,c_factor
+c -------------------------------------------------------------
+ pi = 3.141592653 D+00
+ alphaCP = balpha
+ calpha = Dcos(alphaCP)
+ salpha = Dsin(alphaCP)
+ betaCP = bbeta
+ cbeta = Dcos(betaCP)
+ sbeta = Dsin(betaCP)
+ M_B = 5.2794D+00
+ M_pip = 0.13957D0
+ M_pim = M_pip
+ M_pi0 = 0.134976D0
+ M_Kp = 0.49368
+ Mass_rho = 0.770D0
+ Gam_rho = 0.150D0
+ Mass_Kstarp = 0.8916
+ Gam_Kstarp = 0.0498
+ Mass_Kstar0 = 0.8961
+ Gam_Kstar0 = 0.0505
+
+ MB2 = M_B**2 + M_pip**2 + M_pim**2 + M_pi0**2
+ MC2 = M_B**2 + M_Kp **2 + M_pim**2 + M_pi0**2
+
+ StrongPhase = 0.
+
+c -------------------------------------------------------------
+ StrongExp = Dcmplx(Dcos(StrongPhase),Dsin(StrongPhase))
+
+ rho_gen = 0.D+00
+c if(balpha.ne.0) Then
+c eta_gen = cos(balpha)/sin(balpha)
+c else
+c eta_gen =0.
+c endif
+ eta_gen = 0.5D+00
+ c_factor=
+ >Sqrt((rho_gen**2+eta_gen**2)/((1.-rho_gen)**2+eta_gen**2))
+
+ Mat_Tp0 = Dcmplx(calpha, -salpha) *1.09D+00
+ Mat_Tm0 = Dcmplx(calpha, -salpha) *1.09D+00
+ Mat_T0p = Dcmplx(calpha, -salpha) *0.66D+00
+ Mat_T0m = Dcmplx(calpha, -salpha) *0.66D+00
+ Mat_Tpm = Dcmplx(calpha, -salpha) *1.00D+00
+ Mat_Tmp = Dcmplx(calpha, -salpha) *0.47D+00
+
+ Mat_Ppm = -Dcmplx(Dcos(-0.5D0),Dsin(-0.5D0))*0.2D0
+ Mat_Pmp = Dcmplx(Dcos(2.D0),Dsin(2.D0))*0.15D0
+
+ Mat_P1 = 0.5D0*(Mat_Ppm-Mat_Pmp)
+ Mat_P0 = 0.5D0*(Mat_Ppm+Mat_Pmp)
+ Nat_Tp0 = Dcmplx(calpha, salpha) *1.09D+00
+ Nat_Tm0 = Dcmplx(calpha, salpha) *1.09D+00
+ Nat_T0p = Dcmplx(calpha, salpha) *0.66D+00
+ Nat_T0m = Dcmplx(calpha, salpha) *0.66D+00
+ Nat_Tpm = Dcmplx(calpha, salpha) *1.00D+00
+ Nat_Tmp = Dcmplx(calpha, salpha) *0.47D+00
+ Nat_P1 = Mat_P1
+ Nat_P0 = Mat_P0
+
+ Mat_Tpm = StrongExp * Mat_Tpm
+ Nat_Tpm = StrongExp * Nat_Tpm
+
+ Mat_S1 = Mat_Tp0 + 2.D+00 * Mat_P1
+ Mat_S2 = Mat_T0p - 2.D+00 * Mat_P1
+ Mat_S3 = Mat_Tpm + Mat_P1 + Mat_P0
+ Mat_S4 = Mat_Tmp - Mat_P1 + Mat_P0
+ Mat_S5 = - Mat_Tpm - Mat_Tmp + Mat_Tp0 + Mat_T0p
+ > - 2.D+00 * Mat_P0
+
+ Nat_S1 = Nat_Tp0 + 2.D+00 * Nat_P1
+ Nat_S2 = Nat_T0p - 2.D+00 * Nat_P1
+ Nat_S3 = Nat_Tpm + Nat_P1 + Nat_P0
+ Nat_S4 = Nat_Tmp - Nat_P1 + Nat_P0
+ Nat_S5 = - Nat_Tpm - Nat_Tmp + Nat_Tp0 + Nat_T0p
+ > - 2.D+00 * Nat_P0
+
+
+c=====================================================================
+c=====================================================================
+
+
+C Gautier 14-Jan-98 :
+C set matrix elements according to Jerome s calculations
+C (so called Reference set)
+c B0 -->-- K*+ pi- Amplitudes (Trees + Penguins)
+ MatKstarp = Dcmplx(calpha, -salpha) * Dcmplx( 0.220,0.)
+ > + Dcmplx(cbeta, sbeta) * Dcmplx(-1.200,0.)
+c B0 -->-- K*0 pi0 Amplitudes (Trees + Penguins)
+ MatKstar0 = Dcmplx(calpha, -salpha) * Dcmplx( 0.015,0.)
+ > + Dcmplx(cbeta, sbeta) * Dcmplx( 0.850,0.)
+c B0 -->-- K+ rho- Amplitudes (Trees + Penguins)
+ MatKrho = Dcmplx(calpha, -salpha) * Dcmplx( 0.130,0.)
+ > + Dcmplx(cbeta, sbeta) * Dcmplx( 0.160,0.)
+c=====================================================================
+c B0bar -->-- K*+ pi- Amplitudes (Trees + Penguins)
+ NatKstarp = Dcmplx(0.,0.)
+c B0bar -->-- K*0 pi0 Amplitudes (Trees + Penguins)
+ NatKstar0 = Dcmplx(0.,0.)
+c B0bar -->-- K+ rho- Amplitudes (Trees + Penguins)
+ NatKrho = Dcmplx(0.,0.)
+c=====================================================================
+c=====================================================================
+c Print*,'Mat_Tp0',Mat_Tp0
+c Print*,'Mat_T0p',Mat_T0p
+c Print*,'Mat_Tpm',Mat_Tpm
+c Print*,'Mat_Tmp',Mat_Tmp
+c Print*,'Mat_P1',Mat_P1
+c Print*,'Mat_P0',Mat_P0
+
+ Return
+ End
+
+
+
+C=====================================================================
+ subroutine EvtGammaGamma(P2,PG1Boost,PG2Boost)
+c---------------------------------------------------------------------
+c --------------------------------------------------------------
+c --- The aim of this routine is to generate two photons
+c --- for the decay of the pi0
+c --------------------------------------------------------------
+ implicit none
+c --- commons
+
+#include "EvtGenModels/EvtBTo3pi.inc"
+
+c --- Used Functions
+
+ Real evtranf
+
+c --- Variables in Argument
+
+ Real*8 PG1Boost(5), PG2Boost(5)
+ Real*8 P2(5)
+
+c --- Local Variables
+
+ Real*8 EGammaCmsPi0
+ Real*8 PGamma1(5), PGamma2(5)
+ Real*8 sinThetaRot, cosThetaRot, PhiRot
+ Real*8 Beta(4)
+ Integer i
+
+ Do i=1, 3
+ Beta(i) = P2(i)/p2(4)
+ Enddo
+
+ EGammaCmsPi0 = Dsqrt(P2(5))/2.
+
+
+ cosThetaRot = evtranf()*2.D+00-1.D+00
+ sinThetaRot = Dsqrt(1.D+00 - cosThetaRot**2)
+ PhiRot = evtranf()*2.D+00*pi
+
+ PGamma1(1) = EGammaCmsPi0 * sinThetaRot * Dcos(PhiRot)
+ PGamma1(2) = EGammaCmsPi0 * sinThetaRot * Dsin(PhiRot)
+ PGamma1(3) = EGammaCmsPi0 * cosThetaRot
+ PGamma1(4) = EGammaCmsPi0
+ PGamma1(5) = 0.
+
+ PGamma2(1) = - PGamma1(1)
+ PGamma2(2) = - PGamma1(2)
+ PGamma2(3) = - PGamma1(3)
+ PGamma2(4) = PGamma1(4)
+ PGamma2(5) = 0.
+
+ Call EvtREFREF(BETA,PGamma1,PG1Boost,1)
+ Call EvtREFREF(BETA,PGamma2,PG2Boost,1)
+
+ end
+
+C===================================================================
+ SUBROUTINE EvtREFREF(BETA,PIN,POUT,S)
+c-------------------------------------------------------------------
+c ------------------------------------------------------------
+c --- GIVEN A FINAL STATE , TO BOOST IT IN ITS C.M.S TAKE
+c --- BETA =-SIGMA(P(K))/SIGMA(E(K))
+c --- S =+1.
+c --- TO GO BACK TO THE INITIAL FRAME : SET
+c --- S =-1.
+c ------------------------------------------------------------
+
+ implicit None
+ Real*8 Beta,Pin,Pout
+ Integer s,i
+ dimension BETA(4),PIN(5),POUT(5)
+ Real*8 GAMMA,BETPIN,BETA2
+
+
+ BETA2 =BETA(1)**2+BETA(2)**2+BETA(3)**2
+ IF(BETA2.GT.1.D0) Print*,'Beta**2 .gt.1!!!'
+ IF(BETA2.GT..99999D0) BETA2=0.99999
+ BETA(4)=DSQRT(BETA2)
+ GAMMA=1./DSQRT(1.D0-BETA2)
+
+ BetPin = 0.
+ Do i=1,3
+ BetPin = Beta(i)*Pin(i) + BetPin
+ Enddo
+ BetPin = s*BetPin
+
+ DO 1 I=1,3
+ POUT(I)=PIN(I)+S*BETA(I)*GAMMA*
+ > (PIN(4)+GAMMA/(GAMMA+1.)*BETPIN)
+ 1 CONTINUE
+ POUT(4) = GAMMA*(PIN(4)+BETPIN)
+ POUT(5) = PIN(5)
+
+ RETURN
+ END
+
+C******************************************************************
+ function evt_gmas(P1,P2)
+C******************************************************************
+c -----------------------------------------------------------
+c --- compute the invariant mass between particle 1 and 2
+c -----------------------------------------------------------
+ implicit none
+ real*8 p1(5),P2(5)
+ real*4 evt_gmas
+ integer i
+
+ evt_gmas = (P1(4)+P2(4))**2
+
+ do i=1,3
+ evt_gmas = evt_gmas - (P1(i) + P2(i))**2
+ enddo
+
+ end
+
+C===================================================================
+ Subroutine EvtRotation(p,new)
+c------------------------------------------------------------------
+ Implicit None
+#include "EvtGenModels/EvtBTo3pi.inc"
+
+ Real*8 p(5),pstor(3)
+ Real*8 phi2,phi3
+ Real*8 c1,c2,c3,s1,s2,s3
+ Real*8 MatRot(3,3)
+ save MatRot
+ Real evtranf
+ Integer new,i,j
+
+ If(new.ne.0) Then
+c ---------------------------------------------------------
+C --- generate a random rotation
+c ---------------------------------------------------------
+
+ phi2=evtranf()*2.*pi
+ phi3=evtranf()*2.*pi
+
+ c1=2.D+00*evtranf()-1.D+00
+ c2=Dcos(phi2)
+ c3=Dcos(phi3)
+
+ s1=Dsqrt(1.D+00-c1**2)
+ s2=Dsin(phi2)
+ s3=Dsin(phi3)
+
+c ---------------------------------------------------------
+C --- Compute the overall rotation matrix
+c ---------------------------------------------------------
+ MatRot(1,1)=c1
+ MatRot(1,2)=s1*c3
+ MatRot(1,3)=s1*s3
+ MatRot(2,1)=-s1*c2
+ MatRot(2,2)=c1*c2*c3-s2*s3
+ MatRot(2,3)=c1*c2*s3+s2*c3
+ MatRot(3,1)=s1*s2
+ MatRot(3,2)=-c1*s2*c3-c2*s3
+ MatRot(3,3)=-c1*s2*s3+c2*c3
+ End If
+
+c ---------------------------------------------------------
+C --- store the input 3-momentum
+c ---------------------------------------------------------
+ Do i=1,3
+ pstor(i)=p(i)
+ p(i) = 0.
+ End Do
+c ---------------------------------------------------------
+C --- Apply the rotation
+c ---------------------------------------------------------
+ Do i=1,3
+ Do j=1,3
+ p(i)=p(i)+MatRot(i,j)*pstor(j)
+ End do
+ End do
+
+ end
+
+
+
+c======================================================================
+ FUNCTION EvtCRhoF_W( s )
+C -----------------------------------------------------------------------
+C
+C Author : Andreas Hoecker [Aleph Collaboration, BaBar]
+C
+C tau --> pi pi0 nu
+C
+
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ COMPLEX*16 EvtCRhoF_W, EvtcBW_KS, EvtcBW_GS
+
+ PARAMETER (AmPi2=0.13956995**2)
+
+ LOGICAL KUHN_SANTA / .TRUE. / !...type of Breit-Wigner formula
+ double precision lambda
+ COMMON /LAM/ lambda
+C
+C store parameters
+C
+ IF (KUHN_SANTA) THEN
+C...rho(770)
+ AmRho = 0.7734
+ GamRho = 0.1477
+C...rho(1450)
+ AmRhoP = 1.465
+ GamRhoP = 0.696
+ beta = -0.229
+C...rho(1700)
+ AmRhoPP = 1.760
+ GamRhoPP = 0.215
+ gamma = 0.075
+C...exponent
+ lambda = 1.0
+ ELSE
+C...rho(770)
+ AmRho = 0.7757
+ GamRho = 0.1508
+C...rho(1450)
+ AmRhoP = 1.448
+ GamRhoP = 0.503
+ beta = -0.161
+C...rho(1700)
+ AmRhoPP = 1.757
+ GamRhoPP = 0.237
+ gamma = 0.076
+C...exponent
+ lambda = 1.0
+ ENDIF
+C
+C init
+C
+ EvtCRhoF_W = DCMPLX(0.,0.)
+
+ IF (KUHN_SANTA) THEN
+C
+C Kuehn-Santamaria model
+C
+ EvtCRhoF_W =
+ > ( EvtcBW_KS(s,AmRho**2,GamRho) + !...BW-rho( 770)
+ > EvtcBW_KS(s,AmRhoP**2,GamRhoP)*(beta) + !...BW-rho(1450)
+ > EvtcBW_KS(s,AmRhoPP**2,GamRhoPP)*(gamma) ) / !...BW-rho(1700)
+ > (1.+beta+gamma)
+ ELSE
+C
+C Gounaris-Sakurai model
+C
+ EvtCRhoF_W =
+ > ( EvtcBW_GS(s,AmRho**2,GamRho) +
+ > EvtcBW_GS(s,AmRhoP**2,GamRhoP)*(beta) +
+ > EvtcBW_GS(s,AmRhoPP**2,GamRhoPP)*(gamma) ) /
+ > (1.+beta+gamma)
+ ENDIF
+
+ RETURN
+ END
+C
+C * ================================================================== *
+C
+C
+C * ------------------------------------------------------------- *
+C
+ FUNCTION EvtcBW_KS( s,Am2,Gam )
+
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ COMPLEX*16 EvtcBW_KS
+ PARAMETER (AmPi2=0.13956995**2)
+
+ DOUBLE PRECISION lambda
+ COMMON /LAM/ lambda
+
+ EvtcBW_KS = 0.
+ IF (s.le.4.*AmPi2) RETURN
+
+ G = Gam* (Am2/s)**lambda * ((s-4.*AmPi2)/(Am2-4.*AmPi2))**1.5
+ D = (Am2-s)**2 + s*G**2
+ X = Am2*(Am2-s)
+ Y = Am2*SQRT(s)*G
+
+ EvtcBW_KS = DCMPLX(X/D,Y/D)
+
+ RETURN
+ END
+C
+C * ------------------------------------------------------------- *
+C
+ FUNCTION EvtcBW_GS( s,Am2,Gam )
+
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ COMPLEX*16 EvtcBW_GS
+ PARAMETER (AmPi2=0.13956995**2)
+
+ DOUBLE PRECISION Evtfs,d,N
+
+ DOUBLE PRECISION lambda
+ COMMON /LAM/ lambda
+
+ EvtcBW_GS = 0.
+ IF (s.le.4.*AmPi2) RETURN
+
+ G = Gam* (Am2/s)**lambda * ((s-4.*AmPi2)/(Am2-4.*AmPi2))**1.5
+ z1 = Am2 - s + Evtfs(s,Am2,Gam)
+ z2 = SQRT(s)*G
+ z3 = Am2 + d(Am2)*Gam*SQRT(Am2)
+
+ X = z3 * z1
+ Y = z3 * z2
+ N = z1**2 + z2**2
+
+ EvtcBW_GS = DCMPLX(X/N,Y/N)
+
+ RETURN
+ END
+
+C---------------------------------------------------------------------
+
+ FUNCTION Evtfs(s,AmRho2,GamRho)
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ DOUBLE PRECISION k,k_s,k_Am2
+ k_s = k(s)
+ k_Am2 = k(AmRho2)
+
+ Evtfs = GamRho * AmRho2 / k_Am2**3 *
+ > (
+ > k_s**2 * (h(s)-h(AmRho2)) +
+ > (AmRho2-s) * k_Am2**2 * dh_ds(AmRho2)
+ > )
+ RETURN
+ END
+C --------------
+ FUNCTION k(s)
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ DOUBLE PRECISION k
+ PARAMETER (AmPi2=0.13956995**2)
+ k = 0.5 * SQRT(s - 4.*AmPi2)
+ RETURN
+ END
+C --------------
+ FUNCTION h(s)
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ DOUBLE PRECISION k,k_s
+ PARAMETER (pi=3.141593)
+ PARAMETER (AmPi=0.13957)
+ SQRTs = SQRT(s)
+ k_s = k(s)
+ h = 2./pi * (k_s/SQRTs) * LOG((SQRTs+2.*k_s)/(2.*AmPi))
+ RETURN
+ END
+C --------------
+ FUNCTION dh_ds(s)
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ DOUBLE PRECISION k
+ PARAMETER (pi=3.141593)
+ dh_ds = h(s) * (1./(8.*k(s)**2) - 1./(2.*s)) + 1./(2.*pi*s)
+ RETURN
+ END
+C --------------
+ FUNCTION d(AmRho2)
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ DOUBLE PRECISION k,k_AmRho2
+ PARAMETER (pi=3.141593)
+ PARAMETER (AmPi=0.13956995)
+ PARAMETER (AmPi2=AmPi**2)
+ AmRho = SQRT(AmRho2)
+ k_AmRho2 = k(AmRho2)
+ d = 3./pi * AmPi2/k_AmRho2**2 *
+ > LOG((AmRho+2.*k_AmRho2)/(2.*AmPi)) +
+ > AmRho/(2.*pi*k_AmRho2) - AmPi2*AmRho/(pi*k_AmRho2**3)
+ RETURN
+ END
+
+
+
--- /dev/null
+c Basic matrix elements
+ Complex *16
+ > Mat_S1,Mat_S2,Mat_S3,Mat_S4,Mat_S5
+ > ,Nat_S1,Nat_S2,Nat_S3,Nat_S4,Nat_S5
+ > ,MatKstarp,MatKstar0,MatKrho
+ > ,NatKstarp,NatKstar0,NatKrho
+ Real*8 alphaCP,betaCP,pi,MB2,MC2,Mass_rho,Gam_rho,one,eno
+ Real*8 M_B,M_pip,M_pim,M_pi0
+ Real*8 M_Kp,Mass_Kstarp,Mass_Kstar0,Gam_Kstarp,Gam_Kstar0
+ Real*8 DeltaM,Gam_B,xd
+ Real*8 M_Upsi, BetaBabar,ptcut,coscut
+ Common/Theory/
+ > Mat_S1,Mat_S2,Mat_S3,Mat_S4,Mat_S5
+ > ,Nat_S1,Nat_S2,Nat_S3,Nat_S4,Nat_S5
+ > ,MatKstarp,MatKstar0,MatKrho
+ > ,NatKstarp,NatKstar0,NatKrho
+ > ,alphaCP, betaCP, pi
+ > ,MB2,MC2,one,eno
+ > ,Mass_rho,Gam_rho
+ > ,M_B, M_pip,M_pim,M_pi0
+ > ,DeltaM,Gam_B,xd
+ > ,M_Upsi,BetaBabar
+ > ,ptcut,coscut
+ > ,M_Kp,Mass_Kstarp,Mass_Kstar0,Gam_Kstarp,Gam_Kstar0
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtBTo3piCP.cc
+//
+// Description: Routine to decay B->pi+ pi- pi0
+// and has CP violation.
+//
+// Modification history:
+//
+// RYD/VERSILLE March 2, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBTo3piCP.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+#ifdef WIN32
+extern "C" {
+ extern void __stdcall EVT3PIONS(double *,int *,double *,
+ double *,double *,double *,double *,
+ double *,double *,double *);
+}
+#else
+extern "C" {
+ extern void evt3pions_(double *,int *,double *,
+ double *,double *,double *,double *,
+ double *,double *,double *);
+}
+#endif
+
+EvtBTo3piCP::~EvtBTo3piCP() {}
+
+
+std::string EvtBTo3piCP::getName(){
+
+ return "BTO3PI_CP";
+
+}
+
+
+EvtDecayBase* EvtBTo3piCP::clone(){
+
+ return new EvtBTo3piCP;
+
+}
+
+void EvtBTo3piCP::init(){
+
+ // check that there are 2 arguments
+ checkNArg(2);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+}
+
+
+
+void EvtBTo3piCP::initProbMax(){
+
+ setProbMax(1.5);
+
+}
+
+void EvtBTo3piCP::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ EvtParticle *pip,*pim,*pi0;
+
+ p->makeDaughters(getNDaug(),getDaugs());
+
+ // p->init_daug(SCALAR,&pip,SCALAR,&pim,SCALAR,&pi0);
+ pip=p->getDaug(0);
+ pim=p->getDaug(1);
+ pi0=p->getDaug(2);
+
+ EvtVector4R p4[3];
+
+ double dm=getArg(0);
+ double alpha=getArg(1);
+ int iset;
+
+ static int first=1;
+
+ if (first==1) {
+ iset=10000;
+ first=0;
+ }
+ else{
+ iset=0;
+ }
+
+ double p4piplus[4],p4piminus[4],p4gamm1[4],p4gamm2[4];
+
+ double realA,imgA,realbarA,imgbarA;
+
+#ifdef WIN32
+ EVT3PIONS(&alpha,&iset,p4piplus,p4piminus,p4gamm1,p4gamm2,
+ &realA,&imgA,&realbarA,&imgbarA);
+#else
+ evt3pions_(&alpha,&iset,p4piplus,p4piminus,p4gamm1,p4gamm2,
+ &realA,&imgA,&realbarA,&imgbarA);
+#endif
+
+ p4[0].set(p4piplus[3],p4piplus[0],p4piplus[1],p4piplus[2]);
+ p4[1].set(p4piminus[3],p4piminus[0],p4piminus[1],p4piminus[2]);
+ p4[2].set(p4gamm1[3]+p4gamm2[3],p4gamm1[0]+p4gamm2[0],
+ p4gamm1[1]+p4gamm2[1],p4gamm1[2]+p4gamm2[2]);
+
+ if (pip->getId()==EvtPDL::getId("pi+")) {
+ pip->init( getDaug(0), p4[0] );
+ pim->init( getDaug(1), p4[1] );
+ }
+ else {
+ pip->init( getDaug(0), p4[1] );
+ pim->init( getDaug(1), p4[0] );
+ }
+
+ pi0->init( getDaug(2), p4[2] );
+
+ EvtComplex amp;
+
+ EvtComplex A(realA,imgA);
+ EvtComplex Abar(realbarA,imgbarA);
+
+ if (other_b==B0B){
+ amp=A*cos(dm*t/(2*EvtConst::c))+
+ EvtComplex(0.,1.)*Abar*sin(dm*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+ amp=Abar*cos(dm*t/(2*EvtConst::c))+
+ EvtComplex(0.,1.)*A*sin(dm*t/(2*EvtConst::c));
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtBTo3piCP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTO3PICP_HH
+#define EVTBTO3PICP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+
+
+class EvtBTo3piCP:public EvtDecayAmp {
+
+public:
+
+ EvtBTo3piCP() {}
+ virtual ~EvtBTo3piCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtBTo3piMPP.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+C===================================================================
+C This package is providing a B -->-- 3pions decay generator
+C Its is composed of the following subroutines:
+C
+C [*] HowToUse
+C This is an How To Use routine where one may find the
+C implementation of the time dependance: That is to
+C say that it shows how the output of the routine is
+C supposed to be used in the mind of the authors.
+C
+C===================================================================
+C [0] EVT3pions
+C The routine to be called. Note that on the first call
+C some initialization will be made, in particular the
+C computation of a normalization factor designed to help
+C the subsequent time-dependent generation of events.
+C The normalisation done inside EVT3pions is such that
+C at the level of the time implementation, the maximum
+C time-dependant weight is unity : nothing is to be
+C computed to generate unity-weight events. The exact
+C meaning of the above is made explicit in the HowToUse
+C routine.
+C [1] first_step_MPP
+C Generation of the kinematics of the 3 pions
+C It uses the function ranf which is a random number
+C generator providing an uniform distribution
+C of Real*4 random number between 0 and 1
+C [2] compute
+C return the amplitudes of the B0 -->-- 3pions
+C and of the B0_bar -->-- 3pions
+C corrected for the generation mechanism
+C The notations used are the ones of the paper of
+C A. Snyder and H. Quinn [Phys.Rev.D48 (1993) 2139]
+C [3] BreitWigner
+C compute the Breit-Wigner of the contributing rho s
+C taking into account the cosine term linked to the
+C zero-helicity of the rho s. There is three forms of
+C Breit-Wigners available. The first one is the simple
+C non-relativistic form, while the second and third
+C ones are more involved relativistic expressions which
+C in addition incorporate the contributions of three
+C rho resonances [rho(770:1450:1700)]. The parameters
+C used are the ones resulting from the ALEPH analysis
+C which might be found in CERN-PPE:97013 (submitted to
+C Zeitschrift für Physik C). The two parametrizations
+C of the relativistic Breit-Wigners are the ones of
+C Kuhn-SantaMaria [default] and of Gounaris-Sakurai.
+C The default setting is the non-relativistic Breit-
+C Wigner form.
+C [4] Set_constants
+C Set the constants values, from the pion mass to the
+C penguin contributions. It is called by EVT3pions
+C
+C And other routines which do not deserve comment here.
+C===================================================================
+c Implicit none
+c Real Hmemor
+c Common/Pawc/Hmemor(1000000)
+c Call Hlimit(1000000)
+c call EvtHowToUse
+c call EvtHowToUse_MPP
+c call EvtHowToUse_P00
+c Stop
+c End
+
+ subroutine EvtHowToUse_MPP
+
+ Implicit none
+ Real*8 alpha
+ Integer iset,number,j,N_gener,N_asked
+
+
+ Real*8 p_pi_minus(4),p_pi_plus_1(4),p_pi_plus_2(4)
+ Real*8 Real_Bp,Imag_Bp,Real_Bm,Imag_Bm
+ Real*8 Weight,Weight_max
+ Real*8 ABp,ABm
+ Real*8 m_rho12,m_rho13
+ Real*4 Evtranf,Tag
+ alpha = 0.4
+ N_gener = 0
+ N_asked = 100000
+
+ weight_max = 1.0
+
+c run : Simulation of the Anders Ryd Generator
+
+ Do number=1,N_asked ! weighted events as generated here
+
+ If(number.eq.1) then
+ iset=10000 ! 10^4 events are used to normalize amplitudes
+ Else
+ iset=0 ! iset must be reset to zero after the first call
+ End If
+
+c Here is the call to EVT3pions_MPP !!!!!!!!!!!!!!!!
+c communication of data is done by argument only <<<<<<<<
+ call EVT3pionsMPP(
+ + alpha,iset,
+ + p_pi_minus,p_pi_plus_1,p_pi_plus_2,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm)
+
+C that is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+c select the Tag
+ Tag =evtranf()
+C get the relevant quantities
+ ABp = Real_Bp **2 + Imag_Bp **2
+ ABm = Real_Bp **2 + Imag_Bm **2
+c generate acording to the tag
+ If(Tag.gt.0.5) Then
+
+c a Bm tag => the decay is one from a Bp
+ Weight= ABp
+
+ Else
+
+c a Bp tag => the decay is one from a Bm
+ Weight= ABm
+
+ End If
+ If(Weight.Gt.evtranf()) Then
+c----------------------------------------------------------------------------
+c unweighted event production
+c----------------------------------------------------------------------------
+ N_gener=N_gener+1
+C here is just a Dalitz plot and a few prints
+
+ m_rho12=(p_pi_minus(4)+P_pi_plus_1(4))**2
+ m_rho13=(p_pi_minus(4)+P_pi_plus_2(4))**2
+ do j=1,3
+ m_rho12=m_rho12-(p_pi_minus(j)+P_pi_plus_1(j))**2
+ m_rho13=m_rho13-(p_pi_minus(j)+P_pi_plus_2(j))**2
+ end do
+
+c here is a check that weight_max is one
+
+ If(Weight.gt.Weight_max) Then
+ Weight_max=Weight
+ Print*,' overweighted event found at weight = ',Weight_max
+ End If
+
+c----------------------------------------------------------------------------
+ End If
+
+c end of the loop over events
+ End Do
+
+ Print*,'number of unity-weight events generated : ',N_gener
+ Print*,'number of trials : ',N_asked
+
+
+ End
+C===================================================================
+ subroutine Evt3pionsMPP(
+ + alpha_input,iset,
+ + p_pi_minus,p_pi_plus_1,p_pi_plus_2,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This is the routine to be called by the Main generator
+c to get the decay of B+ -->-- 3 pions
+c --- AND
+c to get the decay of B- -->-- 3 pions
+C For the sake of clarity, signs refers to B+ decay
+c**************************************************************************** set to 0.
+c --- Outputs are :
+c
+c --- p_pi_minus : the four momentum of the pi-
+c --- p_pi_plus_1 : the four momentum of the first pi+
+c --- p_pi_plus_2 : the four momentum of the second pi+
+c
+c Note that : the energy is stored in the fourth component
+c the values are the ones of the B rest frame
+c a random rotation has been applied
+c
+c --- Real_Bp : The real part of the amplitude of
+c the B+ ->- 3 pions decay
+c --- Imag_Bp : The imaginary part of the amplitude of
+c the B+ ->- 3 pions decay
+c
+c --- Real_Bm : The real part of the amplitude of
+c the B- ->- 3 pions decay
+c --- Imag_Bm : The imaginary part of the amplitude of
+c
+c****************************************************************************
+c-----------------------------------------------------------------
+ Implicit none
+#include "EvtGenModels/EvtBTo3pi.inc"
+ Real*8 alpha_input
+ Integer iset
+ Real*8 p_pi_minus(4),p_pi_plus_1(4),p_pi_plus_2(4)
+ Real*8 Real_Bp,Imag_Bp,Real_Bm,Imag_Bm
+
+c Working quantities
+ Integer i,number
+ Real*8 p1(5),p2(5),p3(5)
+ Real*8 factor_max,ABp,ABm
+ Integer ierr
+ data factor_max/1.D+00/
+ ierr =0
+c-------------------------------------------------------------------
+ If(iset.eq.0) Then
+c-------------------------------------------------------------------
+c this is the normal mode of operation
+c First, generate the kinematics
+
+ p1(5)= M_pim**2
+ p2(5)= M_pip**2
+ p3(5)= M_pip**2
+
+ 10 continue
+ call Evtfirst_step_MPP(p1,p2,p3)
+
+c Then, compute the amplitudes
+
+ Call EvtCompute_MPP(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+ if(ierr.ne.0) Go To 10
+c-------------------------------------------------------------------
+ ElseIf(iset.lt.0) Then
+c-------------------------------------------------------------------
+c This is an user mode of operation where the kinematics is
+c provided by the user who only wants the corresponding amplitudes
+c to be computed
+
+ Do i=1,4
+ p1(i)= p_pi_minus (i)
+ p2(i)= p_pi_plus_1(i)
+ p3(i)= p_pi_plus_2(i)
+ End Do
+ p1(5)= M_pim**2
+ p2(5)= M_pip**2
+ p3(5)= M_pip**2
+
+ Call EvtCompute_MPP(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+ if(ierr.ne.0) Then
+ Print*,'the provided kinematics are not physical'
+ Print*,'ierr=',ierr
+ Print*,'the program will stop'
+ Stop
+ endif
+c-------------------------------------------------------------------
+ ElseIf(iset.gt.0) Then
+c-------------------------------------------------------------------
+c This is the pre-run mode of operation where initializations are
+c performed.
+
+ factor_max= 0
+c changed by ryd April 27 1998. this causes an
+c unaligned access probelm on OSF.
+c (should Beta not be passed as an argument?)
+c call Evtset_constants(alpha_input,0.362)
+ call Evtset_constants(alpha_input,0.362D0)
+ p1(5)=M_pim**2
+ p2(5)=M_pip**2
+ p3(5)=M_pip**2
+
+c pre-run
+ Do number=1,iset
+
+ 20 continue
+ call Evtfirst_step_MPP(p1,p2,p3)
+
+ Call EvtCompute_MPP(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+ if(ierr.ne.0) Go To 20
+ ABp = Real_Bp **2 + Imag_Bp **2
+ ABm = Real_Bm **2 + Imag_Bm **2
+
+ If(ABp.gt.factor_max) factor_max=ABp
+ If(ABm.gt.factor_max) factor_max=ABm
+
+ End Do
+c end of the pre-run
+
+ factor_max=1.D+00/Dsqrt(factor_max)
+
+c-------------------------------------------------------------------
+ End If
+c-------------------------------------------------------------------
+
+ Real_Bp =Real_Bp * factor_max
+ Imag_Bp =Imag_Bp * factor_max
+ Real_Bm =Real_Bm * factor_max
+ Imag_Bm =Imag_Bm * factor_max
+
+ if(iset.lt.0) return
+c P1,p2,p3 ---> random rotation in B rest frame
+
+ Call EvtRotation(p1,1)
+ Call EvtRotation(p2,0)
+ Call EvtRotation(p3,0)
+
+C Feed the output four vectors
+
+ Do i=1,4
+
+ p_pi_minus (i)=p1 (i)
+ p_pi_plus_1 (i)=p2 (i)
+ p_pi_plus_2 (i)=p3 (i)
+
+ End Do
+
+ Return
+
+ End
+
+c===================================================================
+ subroutine Evtfirst_step_MPP(P1,P2,P3)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This routine generates the 5-vectors P1,P2,P3
+c --- Associated respectively with the Pi+ and two Pi0 s
+c --- P1(1) = Px
+c --- P1(2) = Py
+c --- P1(3) = Pz
+c --- P1(4) = E
+c --- P1(5) = M**2
+c ----------------------------------------------------------
+c --- Input Four Vectors
+C --- Particle [1] is the pi-
+C --- Particle [2] is the pi+
+C --- Particle [3] is the pi+
+c ----------------------------------------------------------
+
+c ----------------------------------------------------------
+c --- commons
+c ----------------------------------------------------------
+#include "EvtGenModels/EvtBTo3pi.inc"
+c ----------------------------------------------------------
+c --- Used Functions
+c ----------------------------------------------------------
+
+ real evtranf
+
+
+c ----------------------------------------------------------
+c --- Variables in Argument
+c ----------------------------------------------------------
+
+ real*8 P1(5),P2(5),P3(5)
+
+c ----------------------------------------------------------
+c --- Local Variables
+c ----------------------------------------------------------
+
+ real*8 m12,min_m12, max_m12
+ real*8 m13,min_m13, max_m13
+ real*8 m23,min_m23, max_m23
+ Real*8 cost13,cost12,cost23
+
+ real*8 p1mom,p2mom,p3mom
+
+ real*8 x, y, z, mass
+ integer i
+
+ Logical Phase_space
+ data Phase_space/.false./
+
+c initialize to avoid warning on linux
+ mass=0.0
+
+c ----------------------------------------------------------
+c --- Computation
+c ----------------------------------------------------------
+ max_m12 = M_B**2
+ min_m12 = P1(5) + P2(5)
+
+ max_m13 = M_B**2
+ min_m13 = P1(5) + P3(5)
+
+ max_m23 = M_B**2
+ min_m23 = P2(5) + P3(5)
+
+100 Continue
+
+c ----------------------------------------------------------
+c --- Generation of the Mass of the Rho(0)
+c ----------------------------------------------------------
+
+ If(.not.Phase_space) Then
+ y = evtranf()*PI - PI/2.
+ x = Dtan(y)
+ mass = x*Gam_rho/2. +Mass_rho
+ End If
+
+c ----------------------------------------------------------
+c --- z is the Flag needed to choose between the generation
+c --- of a Rho0 = pi- pi+[1] or pi- pi+[2]
+c ----------------------------------------------------------
+
+ z = evtranf()
+
+ if(z.lt..5) Then
+
+ If(Phase_space) Then
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ Else
+ m12 = mass**2
+ End If
+
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ m23 = MB2 - m12 - m13
+
+ else
+
+ If(Phase_space) Then
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ Else
+ m13 = mass**2
+ End If
+
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ m23 = MB2 - m12 - m13
+
+ endif
+
+c ----------------------------------------------------------
+c --- Check that the physics is OK :
+c --- Are the invariant Masses in allowed ranges ?
+c ----------------------------------------------------------
+
+ If(m23.lt.min_m23.or.m23.gt.max_m23) Go to 100
+ If(m13.lt.min_m13.or.m13.gt.max_m13) Go to 100
+ If(m12.lt.min_m12.or.m12.gt.max_m12) Go to 100
+
+c ----------------------------------------------------------
+c --- Are the Cosines of the angles between particles
+c --- Between -1 and +1 ?
+c ----------------------------------------------------------
+
+ P1(4)=(M_B**2+P1(5)-m23)/(2.*M_B)
+ P2(4)=(M_B**2+P2(5)-m13)/(2.*M_B)
+ P3(4)=(M_B**2+P3(5)-m12)/(2.*M_B)
+
+ p1mom=p1(4)**2-P1(5)
+ p2mom=p2(4)**2-P2(5)
+ p3mom=p3(4)**2-P3(5)
+ If(p1mom.lt.0) Go to 100
+ If(p2mom.lt.0) Go to 100
+ If(p3mom.lt.0) Go to 100
+ p1mom=Dsqrt(p1mom)
+ p2mom=Dsqrt(p2mom)
+ p3mom=Dsqrt(p3mom)
+
+ cost13=(2.*p1(4)*p3(4)+P1(5)+p3(5)-m13)/(2.*p1mom*p3mom)
+ cost12=(2.*p1(4)*p2(4)+P1(5)+p2(5)-m12)/(2.*p1mom*p2mom)
+ cost23=(2.*p2(4)*p3(4)+P2(5)+p3(5)-m23)/(2.*p2mom*p3mom)
+ If(Dabs(cost13).gt.1.) Go to 100
+ If(Dabs(cost12).gt.1.) Go to 100
+ If(Dabs(cost23).gt.1.) Go to 100
+
+c ----------------------------------------------------------
+c --- Filling the 5-vectors P1,P2,P3
+c ----------------------------------------------------------
+
+ P3(1) = 0
+ P3(2) = 0
+ p3(3) = p3mom
+
+ P1(3) = p1mom*cost13
+ P1(1) = p1mom*Dsqrt(1.D+00-cost13**2)
+ p1(2) = 0.
+
+ Do i=1,3
+ P2(i)=-p1(i)-p3(i)
+ End do
+
+ END
+
+
+c======================================================================
+ Subroutine EvtCompute_MPP(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+c-----------------------------------------------------------------------
+ IMPLICIT None
+#include "EvtGenModels/EvtBTo3pi.inc"
+
+
+ Real*8 m12, m13, W12, W13, Wtot
+ Real*4 evt_gmas
+ Complex*16 MatBp,MatBm
+ Real*8 Real_Bp,Imag_Bp,Real_Bm,Imag_Bm
+ Real*8 p1(5),p2(5),p3(5)
+ real*8 ASHQ
+ Integer iset,ierr
+ Data ASHQ/0.707107 D+00/
+
+ COMPLEX*16 Mat_rhop
+ Complex*16 BreitWigner
+
+ ierr = 0
+c ----------------------------------------------------------------
+C --- Account for the pole compensation
+c ----------------------------------------------------------------
+ if(evt_gmas(p1,p2).lt.0.or.evt_gmas(p1,p3)
+ + .lt.0) Then
+ ierr=1
+ return
+ endif
+
+ m12 = sqrt(evt_gmas(p1,p2))
+ m13 = sqrt(evt_gmas(p1,p3))
+
+ W12 = (1./m12)*1./((Mass_rho - m12)**2+(Gam_rho/2.)**2)
+ W13 = (1./m13)*1./((Mass_rho - m13)**2+(Gam_rho/2.)**2)
+
+ If(iset.ge.0) Then
+ Wtot = 1.D+00/Dsqrt(W12 + W13)
+ else
+ Wtot = 1.
+ endif
+c ----------------------------------------------------------------
+C --- Compute Breit-Wigners
+c ----------------------------------------------------------------
+
+ Mat_rhop = BreitWigner(p1,p2,p3,ierr)
+ + + BreitWigner(p1,p3,p2,ierr)
+
+c ----------------------------------------------------------------
+C --- Build up the amplitudes
+c ----------------------------------------------------------------
+c The factor ASHQ = 1./sqrt(2) is here just to stick to the notations
+c used by Art Snyder and Helen Quinn. It is irrelevant for the genera-
+c tion of events done here.
+
+ MatBp = Mat_s2 * Mat_rhop * Wtot * ASHQ
+
+ MatBm = Nat_s2 * Mat_rhop * Wtot * ASHQ
+
+c Pick up the Real and Imaginary parts
+c changed Real to DBLE and Imag DIMAG to make it complie
+c with Absoft and g77 (ryd)
+
+ Real_Bp = DBLE(MatBp)
+ Imag_Bp = DIMAG(MatBp)
+
+ Real_Bm = DBLE(MatBm)
+ Imag_Bm = DIMAG(MatBm)
+
+ Return
+ End
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtBTo3piP00.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+C===================================================================
+C This package is providing a B -->-- 3pions decay generator
+C Its is composed of the following subroutines:
+C
+C [*] HowToUse
+C This is an How To Use routine where one may find the
+C implementation of the time dependance: That is to
+C say that it shows how the output of the routine is
+C supposed to be used in the mind of the authors.
+C
+C===================================================================
+C [0] EVT3pions
+C The routine to be called. Note that on the first call
+C some initialization will be made, in particular the
+C computation of a normalization factor designed to help
+C the subsequent time-dependent generation of events.
+C The normalisation done inside EVT3pions is such that
+C at the level of the time implementation, the maximum
+C time-dependant weight is unity : nothing is to be
+C computed to generate unity-weight events. The exact
+C meaning of the above is made explicit in the HowToUse
+C routine.
+C [1] first_step_P00
+C Generation of the kinematics of the 3 pions
+C It uses the function ranf which is a random number
+C generator providing an uniform distribution
+C of Real*4 random number between 0 and 1
+C [2] compute
+C return the amplitudes of the B0 -->-- 3pions
+C and of the B0_bar -->-- 3pions
+C corrected for the generation mechanism
+C The notations used are the ones of the paper of
+C A. Snyder and H. Quinn [Phys.Rev.D48 (1993) 2139]
+C [3] BreitWigner
+C compute the Breit-Wigner of the contributing rho s
+C taking into account the cosine term linked to the
+C zero-helicity of the rho s. There is three forms of
+C Breit-Wigners available. The first one is the simple
+C non-relativistic form, while the second and third
+C ones are more involved relativistic expressions which
+C in addition incorporate the contributions of three
+C rho resonances [rho(770:1450:1700)]. The parameters
+C used are the ones resulting from the ALEPH analysis
+C which might be found in CERN-PPE:97013 (submitted to
+C Zeitschrift für Physik C). The two parametrizations
+C of the relativistic Breit-Wigners are the ones of
+C Kuhn-SantaMaria [default] and of Gounaris-Sakurai.
+C The default setting is the non-relativistic Breit-
+C Wigner form.
+C [4] Set_constants
+C Set the constants values, from the pion mass to the
+C penguin contributions. It is called by EVT3pions
+C
+C And other routines which do not deserve comment here.
+C===================================================================
+c
+c call EvtHowToUse_P00
+c Stop
+c End
+
+ subroutine EvtHowToUse_P00
+
+ Implicit none
+ Real*8 alpha
+ Integer iset,number,j,N_gener,N_asked
+
+ Real*8 p_pi_plus(4)
+ Real*8 p_gamma_1(4),p_gamma_2(4),p_gamma_3(4),p_gamma_4(4)
+
+ Real*8 Real_Bp,Imag_Bp,Real_Bm,Imag_Bm
+ Real*8 Weight,Weight_max
+ Real*8 ABp,ABm
+ Real*8 m_rho12,m_rho13
+ Real*4 Evtranf,Tag
+
+ alpha = 0.4
+ N_gener = 0
+ N_asked = 100000
+
+ weight_max = 1.0
+
+c run : Simulation of the Anders Ryd Generator
+
+ Do number=1,N_asked ! weighted events as generated here
+
+ If(number.eq.1) then
+ iset=10000 ! 10^4 events are used to normalize amplitudes
+ Else
+ iset=0 ! iset must be reset to zero after the first call
+ End If
+
+c Here is the call to EVT3pions_P00 !!!!!!!!!!!!!!!!
+c communication of data is done by argument only <<<<<<<<
+ call EVT3pionsP00(
+ + alpha,iset,
+ + p_pi_plus,
+ + p_gamma_1,p_gamma_2,p_gamma_3,p_gamma_4,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm)
+
+C that is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+c select the Tag
+ Tag =evtranf()
+C get the relevant quantities
+ ABp = Real_Bp **2 + Imag_Bp **2
+ ABm = Real_Bp **2 + Imag_Bm **2
+c generate acording to the tag
+ If(Tag.gt.0.5) Then
+
+c a Bm tag => the decay is one from a Bp
+ Weight= ABp
+
+ Else
+
+c a Bp tag => the decay is one from a Bm
+ Weight= ABm
+
+ End If
+ If(Weight.Gt.evtranf()) Then
+c----------------------------------------------------------------------------
+c unweighted event production
+c----------------------------------------------------------------------------
+ N_gener=N_gener+1
+C here is just a Dalitz plot and a few prints
+
+ m_rho12=(p_pi_plus (4)+p_gamma_1(4)+p_gamma_2(4))**2
+ m_rho13=(p_pi_plus (4)+p_gamma_3(4)+p_gamma_4(4))**2
+ do j=1,3
+ m_rho12=m_rho12-(p_pi_plus (j)+p_gamma_1(j)+p_gamma_2(j))**2
+ m_rho13=m_rho13-(p_pi_plus (j)+p_gamma_3(j)+p_gamma_4(j))**2
+ end do
+
+c here is a check that weight_max is one
+
+ If(Weight.gt.Weight_max) Then
+ Weight_max=Weight
+ Print*,' overweighted event found at weight = ',Weight_max
+ End If
+
+c----------------------------------------------------------------------------
+ End If
+
+c end of the loop over events
+ End Do
+
+ Print*,'number of unity-weight events generated : ',N_gener
+ Print*,'number of trials : ',N_asked
+
+ End
+C===================================================================
+ subroutine Evt3pionsP00(
+ + alpha_input,iset,
+ + p_pi_plus,
+ + p_pi_1_gamma_1,p_pi_1_gamma_2,
+ + p_pi_2_gamma_1,p_pi_2_gamma_2,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This is the routine to be called by the Main generator
+c to get the decay of B+ -->-- 3 pions
+c --- AND
+c to get the decay of B- -->-- 3 pions
+C For the sake of clarity, signs refers to B+ decay
+c**************************************************************************** set to 0.
+c --- Outputs are :
+c
+c --- p_pi_plus : the four momentum of the pi+
+c Then, for the first pi0
+c --- p_pi_1_gamma_1 : the four momentum of the first photon
+c --- p_pi_1_gamma_2 : the four momentum of the second photon
+c Then, for the second pi0
+c --- p_pi_2_gamma_1 : the four momentum of the first photon
+c --- p_pi_2_gamma_2 : the four momentum of the second photon
+c
+c Note that : the energy is stored in the fourth component
+c the values are the ones of the B rest frame
+c a random rotation has been applied
+c
+c --- Real_B0p : The real part of the amplitude of
+c the B+ ->- 3 pions decay
+c --- Imag_B0p : The imaginary part of the amplitude of
+c the B+ ->- 3 pions decay
+c
+c --- Real_B0m : The real part of the amplitude of
+c the B- ->- 3 pions decay
+c --- Imag_B0m : The imaginary part of the amplitude of
+c
+c****************************************************************************
+c-----------------------------------------------------------------
+ Implicit none
+#include "EvtGenModels/EvtBTo3pi.inc"
+ Real*8 alpha_input
+ Integer iset
+ Real*8 p_pi_plus(4)
+ Real*8 p_pi_1_gamma_1(4),p_pi_1_gamma_2(4)
+ Real*8 p_pi_2_gamma_1(4),p_pi_2_gamma_2(4)
+ Real*8 Real_Bp,Imag_Bp,Real_Bm,Imag_Bm
+
+c Working quantities
+ Integer i,number
+ Real*8 p1(5),p2(5),p3(5)
+ Real*8 Gamma1(5),Gamma2(5),Gamma3(5),Gamma4(5)
+ Real*8 factor_max,ABp,ABm
+ Integer ierr
+ data factor_max/1.D+00/
+ ierr =0
+c-------------------------------------------------------------------
+ If(iset.eq.0) Then
+c-------------------------------------------------------------------
+c this is the normal mode of operation
+c First, generate the kinematics
+
+ p1(5)=M_pip**2
+ p2(5)=M_pi0**2
+ p3(5)=M_pi0**2
+
+
+ 10 continue
+ call Evtfirst_step_P00(p1,p2,p3)
+
+c Then, compute the amplitudes
+
+ Call EvtCompute_P00(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+ if(ierr.ne.0 ) Go To 10
+c-------------------------------------------------------------------
+ ElseIf(iset.lt.0) Then
+c-------------------------------------------------------------------
+c This is an user mode of operation where the kinematics is
+c provided by the user who only wants the corresponding amplitudes
+c to be computed
+
+ Do i=1,4
+ p1(i)= p_pi_plus (i)
+ p2(i)= p_pi_1_gamma_1 (i) + p_pi_1_gamma_2 (i)
+ p3(i)= p_pi_2_gamma_1 (i) + p_pi_2_gamma_2 (i)
+ End Do
+ p1(5)= M_pip**2
+ p2(5)= M_pi0**2
+ p3(5)= M_pi0**2
+
+ Call EvtCompute_P00(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+
+ if(ierr.ne.0) Then
+ Print*,'the provided kinematics are not physical'
+ Print*,'ierr=',ierr
+ Print*,'the program will stop'
+ Stop
+ endif
+c-------------------------------------------------------------------
+ ElseIf(iset.gt.0) Then
+c-------------------------------------------------------------------
+c This is the pre-run mode of operation where initializations are
+c performed.
+
+ factor_max= 0
+c changed by ryd April 24 1998.
+c 0.35 is the value of beta? should it not be
+c passed in as an argument????
+c call Evtset_constants(alpha_input,0.362)
+ call Evtset_constants(alpha_input,0.362D0)
+ p1(5)=M_pip**2
+ p2(5)=M_pi0**2
+ p3(5)=M_pi0**2
+
+c pre-run
+ Do number=1,iset
+
+ 20 continue
+ call Evtfirst_step_P00(p1,p2,p3)
+
+ Call EvtCompute_P00(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+ if(ierr.ne.0) Go To 20
+ ABp = Real_Bp **2 + Imag_Bp **2
+ ABm = Real_Bm **2 + Imag_Bm **2
+
+ If(ABp.gt.factor_max) factor_max=ABp
+ If(ABm.gt.factor_max) factor_max=ABm
+
+ End Do
+c end of the pre-run
+
+ factor_max=1.D+00/Dsqrt(factor_max)
+
+c-------------------------------------------------------------------
+ End If
+c-------------------------------------------------------------------
+
+ Real_Bp =Real_Bp * factor_max
+ Imag_Bp =Imag_Bp * factor_max
+ Real_Bm =Real_Bm * factor_max
+ Imag_Bm =Imag_Bm * factor_max
+
+ if(iset.lt.0) return
+c P1,p2,p3 ---> random rotation in B rest frame
+
+ Call EvtRotation(p1,1)
+ Call EvtRotation(p2,0)
+ Call EvtRotation(p3,0)
+
+C Desintegrate the pi_0 s
+
+ Call EvtGammaGamma(p2,Gamma1,Gamma2)
+ Call EvtGammaGamma(p3,Gamma3,Gamma4)
+
+C Feed the output four vectors
+
+ Do i=1,4
+
+ p_pi_plus (i)=p1 (i)
+ p_pi_1_gamma_1 (i)=Gamma1(i)
+ p_pi_1_gamma_2 (i)=Gamma2(i)
+ p_pi_2_gamma_1 (i)=Gamma3(i)
+ p_pi_2_gamma_2 (i)=Gamma4(i)
+
+ End Do
+
+ Return
+
+ End
+
+c===================================================================
+ subroutine Evtfirst_step_P00(P1,P2,P3)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This routine generates the 5-vectors P1,P2,P3
+c --- Associated respectively with the Pi+ and two Pi0 s
+c --- P1(1) = Px
+c --- P1(2) = Py
+c --- P1(3) = Pz
+c --- P1(4) = E
+c --- P1(5) = M**2
+c ----------------------------------------------------------
+c --- Input Four Vectors
+C --- Particle [1] is the pi+
+C --- Particle [2] is the pi0
+C --- Particle [3] is the pi0
+c ----------------------------------------------------------
+
+c ----------------------------------------------------------
+c --- commons
+c ----------------------------------------------------------
+#include "EvtGenModels/EvtBTo3pi.inc"
+c ----------------------------------------------------------
+c --- Used Functions
+c ----------------------------------------------------------
+
+ real evtranf
+
+c ----------------------------------------------------------
+c --- Variables in Argument
+c ----------------------------------------------------------
+
+ real*8 P1(5),P2(5),P3(5)
+
+c ----------------------------------------------------------
+c --- Local Variables
+c ----------------------------------------------------------
+
+ real*8 m12,min_m12, max_m12
+ real*8 m13,min_m13, max_m13
+ real*8 m23,min_m23, max_m23
+ Real*8 cost13,cost12,cost23
+
+ real*8 p1mom,p2mom,p3mom
+
+ real*8 x, y, z, mass
+ integer i
+
+ Logical Phase_space
+ data Phase_space/.false./
+
+c initialize to avoid warning on linux
+ mass=0.0
+
+c ----------------------------------------------------------
+c --- Computation
+c ----------------------------------------------------------
+ max_m12 = M_B**2
+ min_m12 = P1(5) + P2(5)
+
+ max_m13 = M_B**2
+ min_m13 = P1(5) + P3(5)
+
+ max_m23 = M_B**2
+ min_m23 = P2(5) + P3(5)
+
+100 Continue
+
+c ----------------------------------------------------------
+c --- Generation of the Mass of the Rho(+)
+c ----------------------------------------------------------
+
+ If(.not.Phase_space) Then
+ y = evtranf()*PI - PI/2.
+ x = Dtan(y)
+ mass = x*Gam_rho/2. +Mass_rho
+ End If
+
+c ----------------------------------------------------------
+c --- z is the Flag needed to choose between the generation
+c --- of a Rho+ = pi+ pi_0[1] or pi+ pi_0[2]
+c ----------------------------------------------------------
+
+ z = evtranf()
+
+ if(z.lt..5) Then
+
+ If(Phase_space) Then
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ Else
+ m12 = mass**2
+ End If
+
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ m23 = MB2 - m12 - m13
+
+ else
+
+ If(Phase_space) Then
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ Else
+ m13 = mass**2
+ End If
+
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ m23 = MB2 - m12 - m13
+
+ endif
+
+c ----------------------------------------------------------
+c --- Check that the physics is OK :
+c --- Are the invariant Masses in allowed ranges ?
+c ----------------------------------------------------------
+
+ If(m23.lt.min_m23.or.m23.gt.max_m23) Go to 100
+ If(m13.lt.min_m13.or.m13.gt.max_m13) Go to 100
+ If(m12.lt.min_m12.or.m12.gt.max_m12) Go to 100
+
+c ----------------------------------------------------------
+c --- Are the Cosines of the angles between particles
+c --- Between -1 and +1 ?
+c ----------------------------------------------------------
+
+ P1(4)=(M_B**2+P1(5)-m23)/(2.*M_B)
+ P2(4)=(M_B**2+P2(5)-m13)/(2.*M_B)
+ P3(4)=(M_B**2+P3(5)-m12)/(2.*M_B)
+
+ p1mom=p1(4)**2-P1(5)
+ p2mom=p2(4)**2-P2(5)
+ p3mom=p3(4)**2-P3(5)
+ If(p1mom.lt.0) Go to 100
+ If(p2mom.lt.0) Go to 100
+ If(p3mom.lt.0) Go to 100
+ p1mom=Dsqrt(p1mom)
+ p2mom=Dsqrt(p2mom)
+ p3mom=Dsqrt(p3mom)
+
+ cost13=(2.*p1(4)*p3(4)+P1(5)+p3(5)-m13)/(2.*p1mom*p3mom)
+ cost12=(2.*p1(4)*p2(4)+P1(5)+p2(5)-m12)/(2.*p1mom*p2mom)
+ cost23=(2.*p2(4)*p3(4)+P2(5)+p3(5)-m23)/(2.*p2mom*p3mom)
+ If(Dabs(cost13).gt.1.) Go to 100
+ If(Dabs(cost12).gt.1.) Go to 100
+ If(Dabs(cost23).gt.1.) Go to 100
+
+c ----------------------------------------------------------
+c --- Filling the 5-vectors P1,P2,P3
+c ----------------------------------------------------------
+
+ P3(1) = 0
+ P3(2) = 0
+ p3(3) = p3mom
+
+ P1(3) = p1mom*cost13
+ P1(1) = p1mom*Dsqrt(1.D+00-cost13**2)
+ p1(2) = 0.
+
+ Do i=1,3
+ P2(i)=-p1(i)-p3(i)
+ End do
+
+ END
+
+
+c======================================================================
+ Subroutine EvtCompute_P00(p1,p2,p3,
+ + Real_Bp,Imag_Bp,Real_Bm,Imag_Bm,iset,ierr)
+c-----------------------------------------------------------------------
+ IMPLICIT None
+#include "EvtGenModels/EvtBTo3pi.inc"
+
+
+ Real*8 m12, m13, W12, W13, Wtot
+ Real*4 evt_gmas
+ Complex*16 MatBp,MatBm
+ Real*8 Real_Bp,Imag_Bp,Real_Bm,Imag_Bm
+ Real*8 p1(5),p2(5),p3(5)
+ real*8 ASHQ
+ Data ASHQ/0.707107 D+00/
+
+ Integer ierr,iset
+ COMPLEX*16 Mat_rhop
+ Complex*16 BreitWigner
+
+ ierr = 0
+c ----------------------------------------------------------------
+C --- Account for the pole compensation
+c ----------------------------------------------------------------
+
+ if(evt_gmas(p1,p2).lt.0.or.evt_gmas(p1,p3)
+ + .lt.0.or.evt_gmas(p2,p3).lt.0) Then
+ ierr=1
+ Print*,'ierr = ',ierr
+ return
+ endif
+ m12 = sqrt(evt_gmas(p1,p2))
+ m13 = sqrt(evt_gmas(p1,p3))
+
+ W12 = (1./m12)*1./((Mass_rho - m12)**2+(Gam_rho/2.)**2)
+ W13 = (1./m13)*1./((Mass_rho - m13)**2+(Gam_rho/2.)**2)
+ if(iset.ge.0) Then
+ Wtot = 1.D+00/Dsqrt(W12 + W13)
+ else
+ Wtot =1.
+ Endif
+c ----------------------------------------------------------------
+C --- Compute Breit-Wigners
+c ----------------------------------------------------------------
+
+ Mat_rhop = BreitWigner(p1,p2,p3,ierr)
+ + + BreitWigner(p1,p3,p2,ierr)
+
+c ----------------------------------------------------------------
+C --- Build up the amplitudes
+c ----------------------------------------------------------------
+c The factor ASHQ = 1./sqrt(2) is here just to stick to the notations
+c used by Art Snyder and Helen Quinn. It is irrelevant for the genera-
+c tion of events done here.
+
+ MatBp = Mat_s1 * Mat_rhop * Wtot * ASHQ
+
+ MatBm = Nat_s1 * Mat_rhop * Wtot * ASHQ
+
+c Pick up the Real and Imaginary parts
+c changed Real to DBLE and Imag DIMAG to make it complie
+c with Absoft and g77 (ryd)
+
+
+ Real_Bp = DBLE(MatBp)
+ Imag_Bp = DIMAG(MatBp)
+
+ Real_Bm = DBLE(MatBm)
+ Imag_Bm = DIMAG(MatBm)
+
+ Return
+ End
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtBTo4piCP.cc
+//
+// Description: Routine to decay B->pi+ pi- pi+ pi-.
+//
+// Modification history:
+//
+// RYD March 2, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBTo4piCP.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include <string>
+
+EvtBTo4piCP::~EvtBTo4piCP() {}
+
+
+EvtComplex EvtAmpA2(const EvtVector4R& p4pi1,const EvtVector4R& p4pi2,
+ const EvtVector4R& p4pi3,const EvtVector4R& p4pi4){
+
+ //added by Lange Jan4,2000
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ EvtVector4R p4a2,p4rho,p4b;
+
+ p4rho=p4pi1+p4pi2;
+
+ p4a2=p4rho+p4pi3;
+
+ p4b=p4a2+p4pi4;
+
+ EvtVector4R p4b_a2,p4rho_a2,p4pi1_a2,p4a2_a2;
+
+ p4b_a2=boostTo(p4b,p4a2);
+ p4rho_a2=boostTo(p4rho,p4a2);
+ p4pi1_a2=boostTo(p4pi1,p4a2);
+ p4a2_a2=boostTo(p4a2,p4a2);
+
+ EvtVector4R p4pi1_rho;
+
+ p4pi1_rho=boostTo(p4pi1_a2,p4rho_a2);
+
+ EvtVector4R vb,vrho,vpi,t;
+
+ vb=p4b_a2/p4b_a2.d3mag();
+ vrho=p4rho_a2/p4rho_a2.d3mag();
+ vpi=p4pi1_rho/p4pi1_rho.d3mag();
+
+ t.set(1.0,0.0,0.0,0.0);
+
+ // EvtComplex amp_a1,amp_a2;
+ EvtComplex amp_a2;
+
+ // double bwm_a1=EvtPDL::getMeanMass(A1M);
+ // double gamma_a1=EvtPDL::getWidth(A1M);
+ double bwm_a2=EvtPDL::getMeanMass(A2M);
+ double gamma_a2=EvtPDL::getWidth(A2M);
+ double bwm_rho=EvtPDL::getMeanMass(RHO0);
+ double gamma_rho=EvtPDL::getWidth(RHO0);
+
+ amp_a2=(sqrt(gamma_a2/EvtConst::twoPi)/
+ ((p4a2).mass()-bwm_a2-EvtComplex(0.0,0.5*gamma_a2)))*
+ (sqrt(gamma_rho/EvtConst::twoPi)/
+ ((p4rho).mass()-bwm_rho-EvtComplex(0.0,0.5*gamma_rho)));
+
+ return amp_a2*
+ (vb.get(1)*vrho.get(1)+vb.get(2)*vrho.get(2)+vb.get(3)*vrho.get(3))*
+ (
+ vpi.get(1)*(vb.get(2)*vrho.get(3)-vb.get(3)*vrho.get(2))+
+ vpi.get(2)*(vb.get(3)*vrho.get(1)-vb.get(1)*vrho.get(3))+
+ vpi.get(3)*(vb.get(1)*vrho.get(2)-vb.get(2)*vrho.get(1))
+ );
+
+}
+
+EvtComplex EvtAmpA1(const EvtVector4R& p4pi1,const EvtVector4R& p4pi2,
+ const EvtVector4R& p4pi3,const EvtVector4R& p4pi4){
+
+ //added by Lange Jan4,2000
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ EvtVector4R p4a1,p4rho,p4b;
+
+ p4rho=p4pi1+p4pi2;
+
+ p4a1=p4rho+p4pi3;
+
+ p4b=p4a1+p4pi4;
+
+ EvtVector4R p4b_a1,p4rho_a1,p4pi1_a1,p4a1_a1;
+
+ p4b_a1=boostTo(p4b,p4a1);
+ p4rho_a1=boostTo(p4rho,p4a1);
+ p4pi1_a1=boostTo(p4pi1,p4a1);
+ p4a1_a1=boostTo(p4a1,p4a1);
+
+ EvtVector4R p4pi1_rho;
+
+ p4pi1_rho=boostTo(p4pi1_a1,p4rho_a1);
+
+ EvtVector4R vb,vrho,vpi,t;
+
+ vb=p4b_a1/p4b_a1.d3mag();
+ vrho=p4rho_a1/p4rho_a1.d3mag();
+ vpi=p4pi1_rho/p4pi1_rho.d3mag();
+
+ t.set(1.0,0.0,0.0,0.0);
+
+ EvtComplex amp_a1;
+
+ double bwm_a1=EvtPDL::getMeanMass(A1M);
+ double gamma_a1=EvtPDL::getWidth(A1M);
+ // double bwm_a2=EvtPDL::getMeanMass(A2M);
+ // double gamma_a2=EvtPDL::getWidth(A2M);
+ double bwm_rho=EvtPDL::getMeanMass(RHO0);
+ double gamma_rho=EvtPDL::getWidth(RHO0);
+
+ amp_a1=(sqrt(gamma_a1/EvtConst::twoPi)/
+ ((p4a1).mass()-bwm_a1-EvtComplex(0.0,0.5*gamma_a1)))*
+ (sqrt(gamma_rho/EvtConst::twoPi)/
+ ((p4rho).mass()-bwm_rho-EvtComplex(0.0,0.5*gamma_rho)));
+
+ return amp_a1*
+ (vb.get(1)*vpi.get(1)+vb.get(2)*vpi.get(2)+vb.get(3)*vpi.get(3));
+
+}
+
+
+std::string EvtBTo4piCP::getName(){
+
+ return "BTO4PI_CP";
+
+}
+
+
+EvtDecayBase* EvtBTo4piCP::clone(){
+
+ return new EvtBTo4piCP;
+
+}
+
+void EvtBTo4piCP::init(){
+
+ // check that there are 18 arguments
+ checkNArg(18);
+ checkNDaug(4);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+ checkSpinDaughter(3,EvtSpinType::SCALAR);
+}
+
+void EvtBTo4piCP::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ EvtVector4R mom1 = p->getDaug(0)->getP4();
+ EvtVector4R mom2 = p->getDaug(1)->getP4();
+ EvtVector4R mom3 = p->getDaug(2)->getP4();
+ EvtVector4R mom4 = p->getDaug(3)->getP4();
+
+ // double alpha=getArg(0);
+ //double dm=getArg(1);
+
+ EvtComplex amp;
+
+ EvtComplex A,Abar;
+
+
+ EvtComplex A_a1p,Abar_a1p,A_a2p,Abar_a2p;
+ EvtComplex A_a1m,Abar_a1m,A_a2m,Abar_a2m;
+
+ A_a1p=EvtComplex(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+ Abar_a1p=EvtComplex(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
+
+ A_a2p=EvtComplex(getArg(6)*cos(getArg(7)),getArg(6)*sin(getArg(7)));
+ Abar_a2p=EvtComplex(getArg(8)*cos(getArg(9)),getArg(8)*sin(getArg(9)));
+
+ A_a1m=EvtComplex(getArg(10)*cos(getArg(11)),getArg(10)*sin(getArg(11)));
+ Abar_a1m=EvtComplex(getArg(12)*cos(getArg(13)),getArg(12)*sin(getArg(13)));
+
+ A_a2m=EvtComplex(getArg(14)*cos(getArg(15)),getArg(14)*sin(getArg(15)));
+ Abar_a2m=EvtComplex(getArg(16)*cos(getArg(17)),getArg(16)*sin(getArg(17)));
+
+ EvtComplex a2p_amp=EvtAmpA2(mom1,mom2,mom3,mom4)+
+ EvtAmpA2(mom1,mom4,mom3,mom2)+
+ EvtAmpA2(mom3,mom2,mom1,mom4)+
+ EvtAmpA2(mom3,mom4,mom1,mom2);
+
+ EvtComplex a2m_amp=EvtAmpA2(mom2,mom3,mom4,mom1)+
+ EvtAmpA2(mom2,mom1,mom4,mom3)+
+ EvtAmpA2(mom4,mom3,mom2,mom1)+
+ EvtAmpA2(mom4,mom1,mom2,mom3);
+
+ EvtComplex a1p_amp=EvtAmpA1(mom1,mom2,mom3,mom4)+
+ EvtAmpA1(mom1,mom4,mom3,mom2)+
+ EvtAmpA1(mom3,mom2,mom1,mom4)+
+ EvtAmpA1(mom3,mom4,mom1,mom2);
+
+ EvtComplex a1m_amp=EvtAmpA1(mom2,mom3,mom4,mom1)+
+ EvtAmpA1(mom2,mom1,mom4,mom3)+
+ EvtAmpA1(mom4,mom3,mom2,mom1)+
+ EvtAmpA1(mom4,mom1,mom2,mom3);
+
+
+ A=A_a2p*a2p_amp+A_a1p*a1p_amp+
+ A_a2m*a2m_amp+A_a1m*a1m_amp;
+ Abar=Abar_a2p*a2p_amp+Abar_a1p*a1p_amp+
+ Abar_a2m*a2m_amp+Abar_a1m*a1m_amp;
+
+
+ if (other_b==B0B){
+ amp=A*cos(getArg(1)*t/(2*EvtConst::c))+
+ EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ getArg(2)*EvtComplex(0.0,1.0)*Abar*sin(getArg(1)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+ amp=A*EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(1)*t/(2*EvtConst::c))+
+ getArg(2)*Abar*cos(getArg(1)*t/(2*EvtConst::c));
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtBTo4piCP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTO4PICP_HH
+#define EVTBTO4PICP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtBTo4piCP:public EvtDecayAmp {
+
+public:
+
+ EvtBTo4piCP() {}
+ virtual ~EvtBTo4piCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtBToKpipi.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+C===================================================================
+C This package is providing a neutral B -->-- K pi pi decay generator
+C Its is composed of the following subroutines:
+C
+C [*] HowToUse
+C This is an How To Use routine where one may find the
+C implementation of the time dependance: That is to
+C say that it shows how the output of the routine is
+C supposed to be used in the mind of the authors.
+C
+C===================================================================
+C [0] EVTKpipi
+C The routine to be called. Note that on the first call
+C some initialization will be made, in particular the
+C computation of a normalization factor designed to help
+C the subsequent time-dependent generation of events.
+C The normalisation done inside EVTKpipi is such that
+C at the level of the time implementation, the maximum
+C time-dependant weight is unity : nothing is to be
+C computed to generate unity-weight events. The exact
+C meaning of the above is made explicit in the HowToUse
+C routine.
+C [1] first_step_Kpipi
+C Generation of the kinematics of the 3 prongs
+C It uses the function evtranf which is a random number
+C generator providing an uniform distribution
+C of Real*4 random number between 0 and 1
+C [2] compute
+C return the amplitudes of the B0 -->-- K+pi-pi0
+C corrected for the generation mechanism.
+c Note that this is a Tagging Mode. The CP conjugate
+c mode (B0bar -->-- K-pi+pi0) is treated at the same time.
+C [3] BreitWigner
+C compute the Breit-Wigner of the contributing K* and rho
+C taking into account the cosine term linked to the
+C zero-helicity of the spin-1 resonances. There is two
+c forms of Breit-Wigners available. The first one is the
+c simple non-relativistic form, while the second is the
+C relativistic expressions.
+C The default setting is the relativistic one.
+C [4] Set_constants
+C Set the constants values, from the pion mass to the
+C penguin contributions. It is called by EVTKpipi
+C
+C And other routines which do not deserve comment here.
+C===================================================================
+c Implicit none
+C Real Hmemor
+C Common/Pawc/Hmemor(1000000)
+C Call Hlimit(1000000)
+C Call EvtHowToUse_Kpipi
+C Stop
+C End
+
+
+ subroutine EvtHowToUse_Kpipi
+
+ Implicit none
+ Real*8 alphaCP, betaCP
+ Integer iset,number,j,N_gener,N_asked
+
+ Real*8 p_K_plus(4),p_pi_minus(4)
+ Real*8 p_gamma_1(4),p_gamma_2(4)
+
+ Real*8 Real_B0,Imag_B0,Real_B0bar,Imag_B0Bar
+ Real*8 Weight,Weight_max
+ Real*8 m_Kstarp,m_Kstar0,m_rhom
+ Real*8 Wrong
+ Real*4 Evtranf,Tag
+
+ alphaCP = 1.35
+ betaCP = 0.362
+ N_gener = 0
+ N_asked = 100000
+
+ weight_max = 1.0
+
+c run : Simulation of the Anders Ryd Generator
+
+ Do number=1,N_asked ! weighted events as generated here
+
+ If(number.eq.1) then
+ iset=10000 ! 10^4 events are used to normalize amplitudes
+ Else
+ iset=0 ! iset must be reset to zero after the first call
+ End If
+
+c Here is the call to EVTKpipi !!!!!!!!!!!!!!!!
+c communication of data is done by argument only <<<<<<<<
+ call EVTKpipi(
+ + alphaCP,betaCP,iset,
+ + p_K_plus,p_pi_minus,
+ + p_gamma_1,p_gamma_2,
+ + Real_B0,Imag_B0,real_B0bar,Imag_B0bar)
+C that is it !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
+c select the Tag
+ Tag =evtranf()
+c generate acording to the tag
+ If(Tag.gt.0.5) Then
+
+c a B0bar tag => the decay is one from a B0
+ Weight= Real_B0 **2 + Imag_B0 **2
+
+ Else
+
+c a B0 tag => the decay is one from a B0bar
+ Weight= Real_B0bar **2 + Imag_B0bar **2
+
+ End If
+
+ If(Weight.Gt.evtranf()) Then
+c----------------------------------------------------------------------------
+c unweighted event production
+c----------------------------------------------------------------------------
+ N_gener=N_gener+1
+C here is just a Dalitz plot and a few prints
+
+ m_Kstarp=(p_K_plus (4)+p_gamma_1(4)+p_gamma_2(4))**2
+ m_rhom =(p_pi_minus (4)+p_gamma_1(4)+p_gamma_2(4))**2
+ m_Kstar0=(p_K_plus (4)+p_pi_minus (4)) **2
+ do j=1,3
+ m_Kstarp=m_Kstarp -(p_K_plus (j)+p_gamma_1(j)+p_gamma_2(j))**2
+ m_rhom =m_rhom -(p_pi_minus (j)+p_gamma_1(j)+p_gamma_2(j))**2
+ m_Kstar0=m_Kstar0 -(p_K_plus (j)+p_pi_minus (j)) **2
+ end do
+
+c here is the Dalitz plot when assuming the pion mass for the Kaon
+c the energy is redefined
+ Wrong =0.
+ do j=1,3
+ Wrong = Wrong + p_K_plus(j)**2
+ end do
+ Wrong = Dsqrt(Wrong+0.139**2)
+
+ m_Kstarp=(Wrong +p_gamma_1(4)+p_gamma_2(4))**2
+ m_Kstar0=(Wrong +p_pi_minus (4)) **2
+ do j=1,3
+ m_Kstarp=m_Kstarp -(p_K_plus (j)+p_gamma_1(j)+p_gamma_2(j))**2
+ m_Kstar0=m_Kstar0 -(p_K_plus (j)+p_pi_minus (j)) **2
+ end do
+
+c here is a check that weight_max is one
+
+ If(Weight.gt.Weight_max) Then
+ Weight_max=Weight
+ Print*,' overweighted event found at weight = ',Weight_max
+ End If
+
+c----------------------------------------------------------------------------
+ End If
+
+c end of the loop over events
+ End Do
+
+ Print*,'number of unity-weight events generated : ',N_gener
+ Print*,'number of trials : ',N_asked
+
+ End
+C===================================================================
+ subroutine EvtKpipi(
+ + alpha_input,beta_input,iset,
+ + p_K_plus,p_pi_minus,
+ + p_gamma_1,p_gamma_2,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0bar)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This is the routine to be called by the Main generator
+c to get the decay of B0 -->-- K+ pi- pi0
+c The decay proceeeds through three channels:
+c a) B0 -->-- K*+ pi- ; K*+ -->-- K+ pi0
+c b) K*0 pi0 ; K*0bar -->-- K+ pi-
+c c) K- rho+ ; rho+ -->-- pi+ pi0
+c .) The K0 rho0 channel is not implemented since it does
+c not lead to Kpipi final state, but it is interesting
+c in itself.
+c It provides at the same time the CP conjugate decay
+c B0bar -->-- K- pi+ pi0
+c****************************************************************************
+c --- Outputs are :
+c
+c --- p_K_plus : the four momentum of the K+
+c --- p_pi_minus : ........................ pi-
+c --- p_gamma_1 : ........................ first gamma of the pi0
+c --- p_gamma_2 : ........................ second gamma of the pi0
+c
+c Note that : the energy is stored in the fourth component
+c the values are the ones of the B rest frame
+c a random rotation has been applied
+c
+c --- Real_B0 : The real part of the amplitude of the decay
+c B0 -->-- K+ pi- pi0
+c --- Imag_B0 : ... imaginary ..................................
+c similarly
+c --- Real_B0bar : The real part of the amplitude of the decay
+c B0bar -->-- K- pi+ pi0
+c --- Imag_B0bar : ... imaginary ..................................
+
+c****************************************************************************
+c-----------------------------------------------------------------
+ Implicit none
+#include "EvtGenModels/EvtBTo3pi.inc"
+ Real*8 alpha_input, beta_input
+ Integer iset
+ Real*8 p_K_plus(4),p_pi_minus(4)
+ Real*8 p_gamma_1(4),p_gamma_2(4)
+ Real*8 Real_B0,Imag_B0,Real_B0bar,Imag_B0Bar
+
+c Working quantities
+ Integer i,number
+ Real*8 p1(5),p2(5),p3(5)
+ Real*8 Gamma1(5),Gamma2(5)
+ Real*8 factor_max,ABp,ABm
+ Integer ierr
+ data factor_max/1.D+00/
+ ierr =0
+c-------------------------------------------------------------------
+ If(iset.eq.0) Then
+c-------------------------------------------------------------------
+c this is the normal mode of operation
+c First, generate the kinematics
+
+ p1(5)= M_Kp **2
+ p2(5)= M_pim**2
+ p3(5)= M_pi0**2
+
+ 10 continue
+ call Evtfirst_step_Kpipi(p1,p2,p3)
+
+c Then, compute the amplitudes
+
+ Call EvtCompute_Kpipi(p1,p2,p3,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0Bar,iset,ierr)
+ if(ierr.ne.0 ) Go To 10
+c----------------nedit EvtBto---------------------------------------------------
+ ElseIf(iset.lt.0) Then
+c-------------------------------------------------------------------
+c This is an user mode of operation where the kinematics is
+c provided by the user who only wants the corresponding amplitudes
+c to be computed
+
+ Do i=1,4
+ p1(i)= p_K_plus (i)
+ p2(i)= p_pi_minus(i)
+ p3(i)= p_gamma_1 (i) + p_gamma_2 (i)
+ End Do
+ p1(5)= M_Kp **2
+ p2(5)= M_pim**2
+ p3(5)= M_pi0**2
+
+ Call EvtCompute_Kpipi(p1,p2,p3,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0Bar,iset,ierr)
+
+ if(ierr.ne.0) Then
+ Print*,'the provided kinematics are not physical'
+ Print*,'ierr=',ierr
+ Print*,'the program will stop'
+ Stop
+ endif
+c-------------------------------------------------------------------
+ ElseIf(iset.gt.0) Then
+c-------------------------------------------------------------------
+c This is the pre-run mode of operation where initializations are
+c performed.
+
+ factor_max= 0
+ call Evtset_constants(alpha_input, beta_input)
+ p1(5)= M_Kp **2
+ p2(5)= M_pim**2
+ p3(5)= M_pi0**2
+
+c pre-run
+ Do number=1,iset
+
+ 20 continue
+ call Evtfirst_step_Kpipi(p1,p2,p3)
+
+ Call EvtCompute_Kpipi(p1,p2,p3,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0Bar,iset,ierr)
+ if(ierr.ne.0) Go To 20
+ ABp = Real_B0 **2 + Imag_B0 **2
+ ABm = Real_B0bar **2 + Imag_B0Bar **2
+
+ If(ABp.gt.factor_max) factor_max=ABp
+ If(ABm.gt.factor_max) factor_max=ABm
+
+ End Do
+c end of the pre-run
+
+ factor_max=1.D+00/Dsqrt(factor_max)
+
+c-------------------------------------------------------------------
+ End If
+c-------------------------------------------------------------------
+
+ Real_B0 =Real_B0 * factor_max
+ Imag_B0 =Imag_B0 * factor_max
+ Real_B0bar=Real_B0bar * factor_max
+ Imag_B0Bar=Imag_B0Bar * factor_max
+
+ if(iset.lt.0) return
+c P1,p2,p3 ---> random rotation in B rest frame
+
+ Call EvtRotation(p1,1)
+ Call EvtRotation(p2,0)
+ Call EvtRotation(p3,0)
+
+C Desintegrate the pi_0 s
+
+ Call EvtGammaGamma(p3,Gamma1,Gamma2)
+
+C Feed the output four vectors
+
+ Do i=1,4
+
+ p_K_plus (i)=p1 (i)
+ p_pi_minus(i)=p2 (i)
+ p_gamma_1 (i)=Gamma1(i)
+ p_gamma_2 (i)=Gamma2(i)
+ End Do
+
+ Return
+
+ End
+
+c===================================================================
+ subroutine Evtfirst_step_Kpipi(P1,P2,P3)
+c-----------------------------------------------------------------
+c ----------------------------------------------------------
+c --- This routine generates the 5-vectors P1,P2,P3
+c --- Associated respectively with the Pi+ and two Pi0 s
+c --- P1(1) = Px
+c --- P1(2) = Py
+c --- P1(3) = Pz
+c --- P1(4) = E
+c --- P1(5) = M**2
+c ----------------------------------------------------------
+c --- Input Four Vectors
+C --- Particle [1] is the K+
+C --- Particle [2] is the pi-
+C --- Particle [3] is the pi0
+c ----------------------------------------------------------
+
+c ----------------------------------------------------------
+c --- commons
+c ----------------------------------------------------------
+#include "EvtGenModels/EvtBTo3pi.inc"
+c ----------------------------------------------------------
+c --- Used Functions
+c ----------------------------------------------------------
+
+ real evtranf
+
+c ----------------------------------------------------------
+c --- Variables in Argument
+c ----------------------------------------------------------
+
+ real*8 P1(5),P2(5),P3(5)
+
+c ----------------------------------------------------------
+c --- Local Variables
+c ----------------------------------------------------------
+
+ real*8 m12,min_m12, max_m12
+ real*8 m13,min_m13, max_m13
+ real*8 m23,min_m23, max_m23
+ Real*8 cost13,cost12,cost23
+
+ real*8 p1mom,p2mom,p3mom
+
+ real*8 x, y, z, mass
+ integer i
+
+ Logical Phase_space
+ data Phase_space/.false./
+
+c ----------------------------------------------------------
+c --- Computation
+c ----------------------------------------------------------
+ max_m12 = M_B**2
+ min_m12 = P1(5) + P2(5) + 2.*Dsqrt(p1(5)*p2(5))
+
+ max_m13 = M_B**2
+ min_m13 = P1(5) + P3(5) + 2.*Dsqrt(p1(5)*p3(5))
+
+ max_m23 = M_B**2
+ min_m23 = P2(5) + P3(5) + 2.*Dsqrt(p2(5)*p3(5))
+
+100 Continue
+
+c ----------------------------------------------------------
+c --- Generation of the Mass of the Rho or Kstar
+c ----------------------------------------------------------
+
+
+c ----------------------------------------------------------
+c --- z is the Flag needed to choose between the generation
+c --- of a K*+, K*0 or rho- resonance
+c ----------------------------------------------------------
+
+ z = 3.*evtranf()
+
+ MC2 = M_B**2
+
+ If(z.lt.1.) Then
+c K*+ production
+ If(Phase_space) Then
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ Else
+ y = evtranf()*PI - PI/2.
+ x = Dtan(y)
+ mass = x*Gam_Kstarp/2. +Mass_Kstarp
+ m13 = mass**2
+ End If
+
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ m23 = MC2 - m12 - m13
+
+ ElseIf(z.lt.2.) Then
+c K*0 production
+ If(Phase_space) Then
+ m12 = evtranf()*(max_m12-min_m12)+min_m12
+ Else
+ y = evtranf()*PI - PI/2.
+ x = Dtan(y)
+ mass = x*Gam_Kstar0/2. +Mass_Kstar0
+ m12 = mass**2
+ End If
+
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ m23 = MC2 - m12 - m13
+
+ Else
+c rho- production
+ If(Phase_space) Then
+ m23 = evtranf()*(max_m23-min_m23)+min_m23
+ Else
+ y = evtranf()*PI - PI/2.
+ x = Dtan(y)
+ mass = x*Gam_rho/2. +Mass_rho
+ m23 = mass**2
+ End If
+
+ m13 = evtranf()*(max_m13-min_m13)+min_m13
+ m12 = MC2 - m23 - m13
+
+ Endif
+
+c ----------------------------------------------------------
+c --- Check that the physics is OK :
+c --- Are the invariant Masses in allowed ranges ?
+c ----------------------------------------------------------
+
+ If(m23.lt.min_m23.or.m23.gt.max_m23) Go to 100
+ If(m13.lt.min_m13.or.m13.gt.max_m13) Go to 100
+ If(m12.lt.min_m12.or.m12.gt.max_m12) Go to 100
+
+c ----------------------------------------------------------
+c --- Are the Cosines of the angles between particles
+c --- Between -1 and +1 ?
+c ----------------------------------------------------------
+
+ P1(4)=(M_B**2+P1(5)-m23)/(2.*M_B)
+ P2(4)=(M_B**2+P2(5)-m13)/(2.*M_B)
+ P3(4)=(M_B**2+P3(5)-m12)/(2.*M_B)
+
+ p1mom=p1(4)**2-P1(5)
+ p2mom=p2(4)**2-P2(5)
+ p3mom=p3(4)**2-P3(5)
+ If(p1mom.lt.0) Go to 100
+ If(p2mom.lt.0) Go to 100
+ If(p3mom.lt.0) Go to 100
+ p1mom=Dsqrt(p1mom)
+ p2mom=Dsqrt(p2mom)
+ p3mom=Dsqrt(p3mom)
+
+ cost13=(2.*p1(4)*p3(4)+P1(5)+p3(5)-m13)/(2.*p1mom*p3mom)
+ cost12=(2.*p1(4)*p2(4)+P1(5)+p2(5)-m12)/(2.*p1mom*p2mom)
+ cost23=(2.*p2(4)*p3(4)+P2(5)+p3(5)-m23)/(2.*p2mom*p3mom)
+ If(Dabs(cost13).gt.1.) Go to 100
+ If(Dabs(cost12).gt.1.) Go to 100
+ If(Dabs(cost23).gt.1.) Go to 100
+
+c ----------------------------------------------------------
+c --- Filling the 5-vectors P1,P2,P3
+c ----------------------------------------------------------
+
+ P3(1) = 0
+ P3(2) = 0
+ p3(3) = p3mom
+
+ P1(3) = p1mom*cost13
+ P1(1) = p1mom*Dsqrt(1.D+00-cost13**2)
+ p1(2) = 0.
+
+ Do i=1,3
+ P2(i)=-p1(i)-p3(i)
+ End do
+
+ END
+
+
+c======================================================================
+ Subroutine EvtCompute_Kpipi(p1,p2,p3,
+ + Real_B0,Imag_B0,Real_B0bar,Imag_B0Bar,iset,ierr)
+c-----------------------------------------------------------------------
+ IMPLICIT None
+#include "EvtGenModels/EvtBTo3pi.inc"
+
+
+ Real*8 m12, m13, m23, W12, W13, W23, Wtot
+ Real*4 evt_gmas
+ Complex*16 MatB0,MatB0bar,BW12,BW13,BW23
+ Real*8 Real_B0,Imag_B0,Real_B0bar,Imag_B0Bar
+ Real*8 p1(5),p2(5),p3(5)
+
+
+ Integer ierr,iset
+ Complex*16 BrightWagner,BreitWigner
+
+ ierr = 0
+c ----------------------------------------------------------------
+C --- Account for the pole compensation
+c ----------------------------------------------------------------
+
+ m12 = evt_gmas(p1,p2)
+ m13 = evt_gmas(p1,p3)
+ m23 = evt_gmas(p2,p3)
+
+ if(m12.lt.0. .or. m13.lt.0. .or. m23.lt.0.) Then
+ ierr=1
+ Print*,'ierr = ',ierr
+ return
+ endif
+
+ m12 = sqrt(m12)
+ m13 = sqrt(m13)
+ m23 = sqrt(m23)
+
+ W12 = 1. / (((Mass_Kstar0 - m12)**2+(Gam_Kstar0/2.)**2)*m12)
+ W13 = 1. / (((Mass_Kstarp - m13)**2+(Gam_Kstarp/2.)**2)*m13)
+ W23 = 1. / (((Mass_rho - m23)**2+(Gam_rho /2.)**2)*m23)
+
+ if(iset.ge.0) Then
+ Wtot = 1.D+00/Dsqrt(W12 + W13 + W23)
+ else
+ Wtot =1.
+ Endif
+c ----------------------------------------------------------------
+C --- Compute Breit-Wigners
+c ----------------------------------------------------------------
+
+ BW13=BrightWagner(p1,p3,p2,Mass_Kstarp,Gam_Kstarp,ierr)
+ If(ierr.ne.0) Return
+ BW12=BrightWagner(p1,p2,p3,Mass_Kstar0,Gam_Kstar0,ierr)
+ If(ierr.ne.0) Return
+c If the rho is to be treated on the same footing as K* ==> use the line below
+c BW23=BrightWagner(p2,p3,p1,Mass_Rho ,Gam_Rho ,ierr)
+ BW23=BreitWigner(p2,p3,p1,ierr)
+ If(ierr.ne.0) Return
+
+c ----------------------------------------------------------------
+c - and
+C --- Build up the amplitudes
+c ----------------------------------------------------------------
+
+c Here come the relative amplitudes of the three decay channels
+c First, one computes the B0 decay B0 ->- K+ pi- pi0
+ MatB0 = MatKstarp * BW13
+ > + MatKstar0 * BW12
+ > + MatKrho * BW23
+c Second, one computes the B0bar decay B0bar ->- K- pi+ pi0
+ MatB0bar = NatKstarp * BW13
+ > + NatKstar0 * BW12
+ > + NatKrho * BW23
+
+
+c Pick up the Real and Imaginary parts
+
+ Real_B0 = dreal(MatB0 )*Wtot
+ Imag_B0 = Imag(MatB0 )*Wtot
+
+ Real_B0bar = dreal(MatB0bar)*Wtot
+ Imag_B0Bar = Imag(MatB0bar)*Wtot
+
+ Return
+ End
+c======================================================================
+ Function BrightWagner(p1,p2,p3,Mass,Width,ierr)
+c----------------------------------------------------------------------
+ IMPLICIT None
+#include "EvtGenModels/EvtBTo3pi.inc"
+ Complex *16 BrightWagner,EvtRBW
+ Integer ierr
+ Logical RelatBW
+ Data RelatBW/.true./
+ Real*8 Mass,Width,Am2Min
+
+c ---------------------------------------------------------------
+c --- Input Four Vectors
+c ---------------------------------------------------------------
+ Real*8 p1(5),p2(5),p3(5)
+
+c ---------------------------------------------------------------
+C --- intermediate variables
+c ---------------------------------------------------------------
+ Real*8 E12_2,m12_2,beta,gamma,argu,m13_2,costet,coscms,m12
+ Real*8 Factor,Num_real,Num_imag
+ Integer i
+ Real *8 p1z,p1zcms12,e1cms12,p1cms12
+
+c ---------------------------------------------------------------
+C --- Boost factor
+c ---------------------------------------------------------------
+
+ BrightWagner=Dcmplx(0,0)
+
+ ierr = 0
+ E12_2=(p1(4)+p2(4))**2
+ m12_2=E12_2
+ Do i=1,3
+ m12_2=m12_2-(p1(i)+p2(i))**2
+ End Do
+ Argu = 1.D+00 - m12_2 / E12_2
+
+ If(argu.gt.0.) Then
+ beta = Dsqrt(Argu)
+ Else
+ Print *,'Abnormal beta ! Argu = ',Argu
+
+ Argu = 0.
+ Beta = 0.
+ End If
+
+ If(m12_2.gt.0.)Then
+ m12 = Dsqrt(m12_2)
+ Else
+ Print *,'Abnormal m12 ! m12_2 = ',m12_2
+ Print*,'p1 = ',p1
+ Print*,'p2 = ',p2
+ Print*,'p3 = ',p3
+ Stop
+ End if
+
+ gamma=Dsqrt(E12_2/m12_2)
+c ---------------------------------------------------------------
+C --- get the cosine in the B CMS
+c ---------------------------------------------------------------
+
+ m13_2=(p1(4)+p3(4))**2
+ Do i=1,3
+ m13_2=m13_2-(p1(i)+p3(i))**2
+ End Do
+ if(m13_2.lt.0) Go To 50
+ if((p1(4)**2-p1(5)).lt.0) Go To 50
+ if((p3(4)**2-p3(5)).lt.0) Go To 50
+ costet= (2.D+00*p1(4)*p3(4)-m13_2+p1(5)+p3(5))
+ > /
+ > (2.D+00*Dsqrt( (p1(4)**2-p1(5)) * (p3(4)**2-p3(5)) ))
+
+c ---------------------------------------------------------------
+C --- get the costet in the 1-2 CMS
+c ---------------------------------------------------------------
+
+ p1z=dsqrt(P1(4)**2-p1(5))*costet
+ p1zcms12=gamma*(p1z+beta*P1(4))
+ e1cms12 =gamma*(p1(4)+beta*p1z)
+ p1cms12 =Dsqrt(e1cms12**2-p1(5))
+ coscms=p1zcms12/p1cms12
+
+c ---------------------------------------------------------------
+C --- Build the Breit Wigner
+c ---------------------------------------------------------------
+
+ If(RelatBW) then
+ Am2Min = p1(5) + p2(5) + 2.*Dsqrt( p1(5)*p2(5) )
+ BrightWagner = coscms * EvtRBW(m12_2,Mass**2,Width,Am2Min)
+ Else
+ Factor = 2.D+00* ( (Mass-m12)**2+(0.5D+00*Width)**2 )
+ Factor = coscms * Width / Factor
+ Num_real= (Mass-m12) * Factor
+ Num_imag= 0.5D+00*Width * Factor
+ BrightWagner=Dcmplx(Num_real,Num_imag)
+ End if
+
+ Return
+ 50 continue
+ ierr = 2
+ Return
+ End
+
+
+ FUNCTION EvtRBW(s,Am2,Gam,Am2Min)
+
+ IMPLICIT DOUBLE PRECISION (A-H,O-Z)
+ COMPLEX*16 EvtRBW
+
+ EvtRBW = 0.
+ IF (s.le.Am2Min) RETURN
+
+ G = Gam* (Am2/s) * ((s-Am2Min)/(Am2-Am2Min))**1.5
+ D = (Am2-s)**2 + s*G**2
+ X = Am2*(Am2-s)
+ Y = Am2*SQRT(s)*G
+
+ EvtRBW = DCMPLX(X/D,Y/D)
+
+ RETURN
+ END
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtBToKpipiCP.cc
+//
+// Description: Routine to decay B->K pi pi
+// and has CP violation.
+// --- This is the routine to be called by the Main generator
+// to get the decay of B0 -->-- K+ pi- pi0
+// The decay proceeeds through three channels:
+// a) B0 -->-- K*+ pi- ; K*+ -->-- K+ pi0
+// b) K*0 pi0 ; K*0bar -->-- K+ pi-
+// c) K- rho+ ; rho+ -->-- pi+ pi0
+// It provides at the same time the CP conjugate decay
+// B0bar -->-- K- pi+ pi0
+//
+// Modification history:
+//
+// Versille September, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBToKpipiCP.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+
+#ifdef WIN32
+extern "C" {
+ extern void __stdcall EVTKPIPI(double *, double *, int *,double *,
+ double *,double *,double *,double *,
+ double *,double *,double *);
+}
+#else
+extern "C" {
+ extern void evtkpipi_(double *, double *, int *,double *,
+ double *,double *,double *,double *,
+ double *,double *,double *);
+}
+#endif
+
+EvtBToKpipiCP::~EvtBToKpipiCP() {}
+
+
+std::string EvtBToKpipiCP::getName(){
+
+ return "BTOKPIPI_CP";
+
+}
+
+
+EvtDecayBase* EvtBToKpipiCP::clone(){
+
+ return new EvtBToKpipiCP;
+
+}
+
+void EvtBToKpipiCP::init(){
+
+ // check that there are 3 arguments
+ checkNArg(3);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+
+}
+
+
+void EvtBToKpipiCP::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ EvtParticle *Kp,*pim,*pi0;
+
+ p->makeDaughters(getNDaug(),getDaugs());
+ Kp=p->getDaug(0);
+ pim=p->getDaug(1);
+ pi0=p->getDaug(2);
+
+ EvtVector4R p4[3];
+
+ //double dm=getArg(0);
+ double alpha=getArg(1);
+ double beta=getArg(2);
+ int iset;
+
+ static int first=1;
+
+ if (first==1) {
+ iset=10000;
+ first=0;
+ }
+ else{
+ iset=0;
+ }
+
+ double p4Kplus[4],p4piminus[4],p4gamm1[4],p4gamm2[4];
+
+ double realA,imgA,realbarA,imgbarA;
+
+#ifdef WIN32
+ EVTKPIPI(&alpha,&beta,&iset,p4Kplus,p4piminus,p4gamm1,p4gamm2,
+ &realA,&imgA,&realbarA,&imgbarA);
+#else
+ evtkpipi_(&alpha,&beta,&iset,p4Kplus,p4piminus,p4gamm1,p4gamm2,
+ &realA,&imgA,&realbarA,&imgbarA);
+#endif
+
+ p4[0].set(p4Kplus[3],p4Kplus[0],p4Kplus[1],p4Kplus[2]);
+ p4[1].set(p4piminus[3],p4piminus[0],p4piminus[1],p4piminus[2]);
+ p4[2].set(p4gamm1[3]+p4gamm2[3],p4gamm1[0]+p4gamm2[0],
+ p4gamm1[1]+p4gamm2[1],p4gamm1[2]+p4gamm2[2]);
+
+ Kp->init( getDaug(0), p4[0] );
+ pim->init( getDaug(1), p4[1] );
+ pi0->init( getDaug(2), p4[2] );
+
+ EvtComplex amp;
+
+ EvtComplex A(realA,imgA);
+ EvtComplex Abar(realbarA,imgbarA);
+
+ if (other_b==B0B){
+ amp=Abar;
+ }
+ if (other_b==B0){
+ amp=A;
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtBToKpipiCP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOKPIPICP_HH
+#define EVTBTOKPIPICP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtBToKpipiCP:public EvtDecayAmp {
+
+public:
+
+ EvtBToKpipiCP() {}
+ virtual ~EvtBToKpipiCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenModels/EvtBToPlnuBK.cc
+//
+// Description: B->Xu l nu with BK (Becirevic-Kaidalov) parametrization
+// Xu is a pseudoscalar (pi_plus,pi0,eta or eta_prime)
+//
+// Modification history:
+//
+// Martin Simard, U. de Montreal, 08/01/2007 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <assert.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBToPlnuBK.hh"
+#include "EvtGenModels/EvtBToPlnuBKFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+
+using std::fstream;
+using std::cout;
+using std::endl;
+
+
+EvtBToPlnuBK::EvtBToPlnuBK():
+ BKmodel(0)
+ ,calcamp(0)
+{}
+
+EvtBToPlnuBK::~EvtBToPlnuBK(){
+ delete BKmodel;
+ BKmodel=0;
+ delete calcamp;
+ calcamp=0;
+}
+
+std::string EvtBToPlnuBK::getName(){
+
+ return "BTOPLNUBK";
+
+}
+
+EvtDecayBase* EvtBToPlnuBK::clone(){
+
+ return new EvtBToPlnuBK;
+
+}
+
+
+void EvtBToPlnuBK::initProbMax(){
+
+ EvtId parnum,mesnum,lnum,nunum;
+
+ parnum = getParentId();
+ mesnum = getDaug(0);
+ lnum = getDaug(1);
+ nunum = getDaug(2);
+
+ double mymaxprob = calcamp->CalcMaxProb(parnum,mesnum,
+ lnum,nunum,BKmodel);
+
+ setProbMax(mymaxprob);
+
+}
+
+void EvtBToPlnuBK::init(){
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype d1type = EvtPDL::getSpinType(getDaug(0));
+ if ( d1type==EvtSpinType::SCALAR) {
+ checkNArg(2);
+ BKmodel = new EvtBToPlnuBKFF(getArg(0),getArg(1));
+ calcamp = new EvtSemiLeptonicScalarAmp;
+ }
+ else{
+ report(ERROR,"EvtGen") << "BK model handles only scalar meson daughters. Sorry."<<endl;
+ ::abort();
+ }
+
+}
+
+void EvtBToPlnuBK::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ calcamp->CalcAmp(p,_amp2,BKmodel);
+
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenModels/EvtBToPlnuBK.hh
+//
+// Description: B->Xu l nu with BK (Becirevic-Kaidalov) parametrization
+// Xu is a pseudoscalar (pi_plus,pi0,eta or eta_prime)
+//
+// Modification history:
+//
+// Martin Simard, U. de Montreal, 08/01/2007 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOPLNUBK_HH
+#define EVTBTOPLNUBK_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+
+class EvtBToPlnuBK: public EvtDecayAmp {
+
+public:
+
+ EvtBToPlnuBK();
+ virtual ~EvtBToPlnuBK();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+private:
+
+ EvtSemiLeptonicFF *BKmodel;
+ EvtSemiLeptonicAmp *calcamp;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenModels/EvtBToPlnuBK.cc
+//
+// Description: B->Xu l nu with BK (Becirevic-Kaidalov) parametrization
+// Xu is a pseudoscalar (pi_plus,pi0,eta or eta_prime)
+//
+// Modification history:
+//
+// Martin Simard, U. de Montreal, 08/01/2007 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBToPlnuBKFF.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtPDL.hh"
+#include <math.h>
+#include <stdlib.h>
+
+EvtBToPlnuBKFF::EvtBToPlnuBKFF(double alpha, double beta) {
+
+ _alpha = alpha;
+ _beta = beta;
+
+ return;
+}
+
+
+void EvtBToPlnuBKFF::getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *fp, double *f0) {
+
+ //Define mBstar
+ EvtId Bplus = EvtPDL::getId("B+");
+ EvtId Bminus = EvtPDL::getId("B-");
+ double mBstar = EvtPDL::getMeanMass(EvtPDL::getId("B*0"));
+ if(parent==Bplus || parent==Bminus) mBstar = EvtPDL::getMeanMass(EvtPDL::getId("B*+"));
+ double mBstar2=mBstar*mBstar;
+
+ //Compute BK parametrization (t==q2)
+ double fplus=1.0/((1.0-t/mBstar2)*(1.0-_alpha*t/mBstar2));
+ double fzero=1.0/(1.0-t/(mBstar2*_beta));
+
+ *fp=fplus;
+ *f0=fzero;
+
+ return;
+}
+
+
+void EvtBToPlnuBKFF::getvectorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getvectorff in EvtBToPlnuBKFF.\n";
+ ::abort();
+
+}
+
+
+
+void EvtBToPlnuBKFF::gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :gettensorff in EvtBToPlnuBKFf.\n";
+ ::abort();
+
+}
+
+
+
+void EvtBToPlnuBKFF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtBToPlnuBKFF.\n";
+ ::abort();
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenModels/EvtBToPlnuBK.hh
+//
+// Description: B->Xu l nu with BK (Becirevic-Kaidalov) parametrization
+// Xu is a pseudoscalar (pi_plus,pi0,eta or eta_prime)
+//
+// Modification history:
+//
+// Martin Simard, U. de Montreal, 08/01/2007 Module created
+//
+//------------------------------------------------------------------------
+#ifndef EVTBTOPLNUBKFF_HH
+#define EVTBTOPLNUBKFF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+class EvtId;
+
+class EvtBToPlnuBKFF : public EvtSemiLeptonicFF {
+
+public:
+ EvtBToPlnuBKFF(double alpha, double beta);
+
+ void getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *fp, double *f0);
+
+ void getvectorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+ void gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+
+private:
+ double _alpha;
+ double _beta;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenModels/EvtBToVlnuBall.cc
+//
+// Description: B->Xu l nu with the Ball/Zwicky decay model
+// Xu is a vector (rho, rho0, omega)
+//
+//
+// Modification history:
+//
+// Wells Wulsin 2008 Aug 14 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <assert.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBToVlnuBall.hh"
+#include "EvtGenModels/EvtBToVlnuBallFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include <string>
+using std::endl;
+
+EvtBToVlnuBall::EvtBToVlnuBall():
+ _Ballmodel(0)
+ ,_calcamp(0)
+{}
+
+EvtBToVlnuBall::~EvtBToVlnuBall() {
+ delete _Ballmodel;
+ _Ballmodel=0;
+ delete _calcamp;
+ _calcamp=0;
+}
+
+
+std::string EvtBToVlnuBall::getName(){
+ return "BTOVLNUBALL";
+}
+
+
+EvtDecayBase* EvtBToVlnuBall::clone(){
+ return new EvtBToVlnuBall;
+}
+
+
+void EvtBToVlnuBall::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ _calcamp->CalcAmp(p,_amp2,_Ballmodel);
+
+
+
+
+}
+
+void EvtBToVlnuBall::initProbMax(){
+
+EvtId parnum,mesnum,lnum,nunum;
+
+parnum = getParentId();
+mesnum = getDaug(0);
+lnum = getDaug(1);
+nunum = getDaug(2);
+
+double mymaxprob = _calcamp->CalcMaxProb(parnum,mesnum,
+ lnum,nunum,_Ballmodel);
+
+setProbMax(mymaxprob);
+
+}
+
+
+void EvtBToVlnuBall::init(){
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype d1type = EvtPDL::getSpinType(getDaug(0));
+ if ( d1type==EvtSpinType::VECTOR) {
+ checkNArg(8); // the number of arguments needed for the Ball model
+ _Ballmodel = new EvtBToVlnuBallFF(getArg(0),getArg(1),getArg(2),getArg(3),getArg(4),getArg(5),getArg(6),getArg(7));
+ _calcamp = new EvtSemiLeptonicVectorAmp;
+ } else {
+ report(ERROR,"EvtGen") << "Ball model handles only vector meson daughters. Sorry." << endl;
+ ::abort();
+ }
+
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGenModels/EvtBToVlnuBall.hh
+//
+// Description: B->Xu l nu with the Ball/Zwicky decay model
+// Xu is a vector (rho, rho0, omega)
+//
+// Modification history:
+//
+// Wells Wulsin 2008 Aug 14 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOVLNUBALL_HH
+#define EVTBTOVLNUBALL_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+
+class EvtBToVlnuBall:public EvtDecayAmp {
+
+public:
+
+ EvtBToVlnuBall();
+ virtual ~EvtBToVlnuBall();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+private:
+ EvtSemiLeptonicFF* _Ballmodel;
+ EvtSemiLeptonicAmp* _calcamp;
+};
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtHQETFF.cc
+//
+// Description: B->Xu l nu with the Ball/Zwicky decay model
+// Xu is a vector (rho, rho0, omega)
+//
+// Modification history:
+//
+// Wells Wulsin 2008 Aug 14 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBToVlnuBallFF.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtPDL.hh"
+#include <math.h>
+#include <stdlib.h>
+
+EvtBToVlnuBallFF::EvtBToVlnuBallFF(double r2_A1,
+ double mfit2_A1,
+ double r1_A2,
+ double r2_A2,
+ double mfit2_A2,
+ double r1_V,
+ double r2_V,
+ double mfit2_V) {
+
+ _r2_A1 = r2_A1;
+ _mfit2_A1 = mfit2_A1;
+ _r1_A2 = r1_A2;
+ _r2_A2 = r2_A2;
+ _mfit2_A2 = mfit2_A2;
+ _r1_V = r1_V;
+ _r2_V = r2_V;
+ _mfit2_V = mfit2_V;
+
+ return;
+}
+
+
+void EvtBToVlnuBallFF::getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+
+ // FF calculations taken from the LCSR calculation of
+ // P. Ball, R. Zwicky, Phys.~Rev.~{\bf D71} 014029 (2005), hep-ph/0412079.
+
+ //Define mBstar
+ EvtId Bplus = EvtPDL::getId("B+");
+ EvtId Bminus = EvtPDL::getId("B-");
+ double mBstar = EvtPDL::getMeanMass(EvtPDL::getId("B*0"));
+ if (parent==Bplus || parent==Bminus) mBstar = EvtPDL::getMeanMass(EvtPDL::getId("B*+"));
+
+ double q2 = t;
+ *a1f = _r2_A1/(1.-q2/_mfit2_A1);
+ *a2f = _r1_A2/(1.-q2/_mfit2_A2) + _r2_A2/pow(1.-q2/_mfit2_A2,2.);
+ *vf = _r1_V /(1.-q2/mBstar/mBstar) + _r2_V/(1.-q2/_mfit2_V);
+ *a0f = 0.0;
+
+ return;
+
+ // OLD STUFF from HQETFF
+
+// double mb=EvtPDL::getMeanMass(parent);
+// double w = ((mb*mb)+(mass*mass)-t)/(2.0*mb*mass);
+
+// Form factors have a general form, with parameters passed in
+// from the arguements.
+
+// double rstar = ( 2.0*sqrt(mb*mass))/(mb+mass);
+// double ha1 = 1-rho2*(w-1);
+
+// *a1f = (1.0 - (t/((mb+mass)*(mb+mass))))*ha1;
+// *a1f = (*a1f)/rstar;
+// *a2f = (r2/rstar)*ha1;
+// *vf = (r1/rstar)*ha1;
+
+}
+
+
+void EvtBToVlnuBallFF::getscalarff(EvtId, EvtId, double, double, double*,
+ double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getvectorff in EvtBToVlnuBallFF.\n";
+ ::abort();
+
+}
+
+
+
+void EvtBToVlnuBallFF::gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :gettensorff in EvtBToVlnuBallFF.\n";
+ ::abort();
+
+}
+
+
+
+void EvtBToVlnuBallFF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtBToVlnuBallFF.\n";
+ ::abort();
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtHQETFF.hh
+//
+// Description: B->Xu l nu with the Ball/Zwicky decay model
+// Xu is a vector (rho, rho0, omega)
+//
+// Modification history:
+//
+// Wells Wulsin 2008 Aug 14 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOVLNUBALLFF_HH
+#define EVTBTOVLNUBALLFF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+class EvtId;
+
+class EvtBToVlnuBallFF : public EvtSemiLeptonicFF {
+
+public:
+ EvtBToVlnuBallFF(double r2_A1,
+ double mfit2_A1,
+ double r1_A2,
+ double r2_A2,
+ double mfit2_A2,
+ double r1_V,
+ double r2_V,
+ double mfit2_V);
+
+ void getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+
+
+ void getscalarff(EvtId, EvtId, double, double, double*,
+ double*);
+
+ void gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+private:
+
+ double _r2_A1;
+ double _mfit2_A1;
+ double _r1_A2;
+ double _r2_A2;
+ double _mfit2_A2;
+ double _r1_V;
+ double _r2_V;
+ double _mfit2_V;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTauScalarnu.cc
+//
+// Description: The leptonic decay of the tau meson.
+// E.g., tau- -> e- nueb nut
+//
+// Modification history:
+//
+// RYD January 17, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtDiracParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtBsquark.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+EvtBsquark::~EvtBsquark() {}
+
+std::string EvtBsquark::getName(){
+
+ return "BSQUARK";
+
+}
+
+
+EvtDecayBase* EvtBsquark::clone(){
+
+ return new EvtBsquark;
+
+}
+
+void EvtBsquark::init(){
+
+ // check that there are 5 arguments
+ checkNArg(5);
+}
+
+void EvtBsquark::initProbMax(){
+
+ //For now do not set a maximum.
+
+ //SetProbMax(0.000000000005);
+
+}
+
+void EvtBsquark::decay(EvtParticle *p){
+
+ static EvtId cquark=EvtPDL::getId("c");
+ static EvtId anticquark=EvtPDL::getId("anti-c");
+
+ static EvtIdSet leptons("e-","mu-","tau-");
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+
+ int charge=1;
+
+ EvtParticle* lepton;
+ lepton = p->getDaug(1);
+ if (leptons.contains(lepton->getId())){
+ charge=-1;
+ }
+
+
+ EvtDiracParticle charmquark;
+
+ //this is a very crude approximation...
+ if (charge==-1){
+ charmquark.init(cquark,p->getDaug(0)->getP4());
+ }
+ else{
+ charmquark.init(anticquark,p->getDaug(0)->getP4());
+ }
+
+ EvtVector4R p4c = p->getDaug(0)->getP4();
+
+ EvtVector4R p4sn = p->getDaug(2)->getP4();
+
+ EvtVector4R p4b(p->mass(),0.0,0.0,0.0);
+
+ EvtComplex M[2][2];
+
+ int il,ic;
+
+ //project out the right handed current
+ EvtGammaMatrix PR=0.5*(EvtGammaMatrix::id()+EvtGammaMatrix::g5());
+
+ double tanbeta=getArg(1);
+ double cosbeta=cos(atan(tanbeta));
+ double sinbeta=sin(atan(tanbeta));
+
+ double mb=4.9;
+ double mc=1.3;
+ double mw=80.4;
+
+ double Mass=getArg(2);
+ double mu=getArg(3);
+ double mchargino=getArg(4);
+
+
+ double tan2phim=2*sqrt(2.0)*mw*(mu*cosbeta+Mass*sinbeta)/
+ (Mass*Mass-mu*mu+2*mw*mw*cos(2*atan(tanbeta)));
+
+ double phim=0.5*atan(tan2phim);
+
+ EvtComplex U11=cos(phim);
+ EvtComplex U12=sin(phim);
+ EvtComplex U21=-sin(phim);
+ EvtComplex U22=cos(phim);
+
+ double tan2phip=2*sqrt(2.0)*mw*(mu*cosbeta+Mass*sinbeta)/
+ (Mass*Mass-mu*mu-2*mw*mw*cos(2*atan(tanbeta)));
+
+ double phip=0.5*atan(tan2phip);
+
+ EvtComplex V11=cos(phip);
+ EvtComplex V12=sin(phip);
+ EvtComplex V21=-sin(phip);
+ EvtComplex V22=cos(phip);
+
+
+ double theta=getArg(0);
+ double ctheta=cos(theta);
+ double stheta=sin(theta);
+
+ double vcsb=0.08;
+ double mchi1=mchargino;
+ double mchi2=mchargino;
+
+ //overall scale factor
+ double g=1.0;
+
+ EvtComplex a1=mchi1*(U11*ctheta-mb*U12*stheta/(sqrt(2.0)*mw*cosbeta));
+ EvtComplex a2=mchi2*(U21*ctheta-mb*U22*stheta/(sqrt(2.0)*mw*cosbeta));
+
+ EvtComplex b1=mc*conj(V12)*ctheta/(sqrt(2.0)*mw*sinbeta);
+ EvtComplex b2=mc*conj(V22)*ctheta/(sqrt(2.0)*mw*sinbeta);
+
+ EvtComplex f1=-(g*g*V11*vcsb)/((p4b-p4c).mass2()-mchi1*mchi1);
+ EvtComplex f2=-(g*g*V21*vcsb)/((p4b-p4c).mass2()-mchi1*mchi2);
+
+ //report(INFO,"EvtGen") <<g<<" "<<V11<<" "<<FL<<" "<<vcsb<<" "<<mchi1<<endl;
+ //report(INFO,"EvtGen") << "f1:"<<f1<<" "<<(p4b-p4c).mass2()<<endl;
+ //report(INFO,"EvtGen") << "f2:"<<f2<<" "<<(p4b-p4c).mass2()<<endl;
+
+ //report(INFO,"EvtGen") << "p4sn:"<<p4sn<<endl;
+
+ EvtGammaMatrix pslash=p4sn.get(0)*EvtGammaMatrix::g0()
+ -p4sn.get(1)*EvtGammaMatrix::g1()
+ -p4sn.get(2)*EvtGammaMatrix::g2()
+ -p4sn.get(3)*EvtGammaMatrix::g3();
+
+ //report(INFO,"EvtGen") << "pslash:"<<pslash<<endl;
+
+
+
+ for(il=0;il<2;il++){
+ for(ic=0;ic<2;ic++){
+
+ EvtComplex a=0.0;
+ EvtComplex b=0.0;
+
+ if (charge==-1){
+ a=charmquark.spParent(ic)*(PR*lepton->spParent(il));
+ b=charmquark.spParent(ic)*((pslash*PR)*lepton->spParent(il));
+ }
+ else{
+ a=lepton->spParent(il)*(PR*charmquark.spParent(ic));
+ b=lepton->spParent(il)*((pslash*PR)*charmquark.spParent(ic));
+ }
+
+ //report(INFO,"EvtGen") <<"pslash*PR:"<<pslash*PR<<endl;
+ //report(INFO,"EvtGen") <<"sp charm:"<<charmquark.spParent(ic)<<endl;
+ //report(INFO,"EvtGen") <<"sp lepton:"<<lepton->spParent(il)<<endl;
+
+ M[ic][il]=f1*(a1*a+b1*b)+f2*(a2*a+b2*b);
+
+ //report(INFO,"EvtGen") << "Contr1:"<<a1<<" "<<a<<" "<<b1<<" "<<b<<endl;
+ //report(INFO,"EvtGen") << "Contr2:"<<a2<<" "<<a<<" "<<b2<<" "<<b<<endl;
+
+ //report(INFO,"EvtGen") <<"case1:"<<f1<<" "<<a1<<" "<<b1<<" "<<a<<" "<<b<<endl;
+ //report(INFO,"EvtGen") <<"case2:"<<f2<<" "<<a2<<" "<<b2<<" "<<a<<" "<<b<<endl;
+
+ }
+ }
+
+ double prob=real(M[0][0]*conj(M[0][0])+
+ M[1][0]*conj(M[1][0])+
+ M[0][1]*conj(M[0][1])+
+ M[1][1]*conj(M[1][1]));
+
+ //report(INFO,"EvtGen") <<"prob:"<<prob<<endl;
+
+ setProb(prob);
+
+ return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTauScalarnu.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBSQUARK_HH
+#define EVTBSQUARK_HH
+
+#include "EvtGenBase/EvtDecayProb.hh"
+
+class EvtParticle;
+
+class EvtBsquark:public EvtDecayProb {
+
+public:
+
+ EvtBsquark() {}
+ virtual ~EvtBsquark();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtBto2piCPiso.cc
+//
+// Description: Routine to decay B -> pi pi with isospin amplitudes
+//
+// Modification history:
+//
+// RYD,NK Febuary 7, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtBto2piCPiso.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtBto2piCPiso::~EvtBto2piCPiso() {}
+
+std::string EvtBto2piCPiso::getName(){
+
+ return "BTO2PI_CP_ISO";
+
+}
+
+
+EvtDecayBase* EvtBto2piCPiso::clone(){
+
+ return new EvtBto2piCPiso;
+
+}
+
+void EvtBto2piCPiso::init(){
+
+ // check that there are 11 arguments
+
+ checkNArg(11);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+}
+
+
+void EvtBto2piCPiso::initProbMax() {
+
+ //added by Lange Jan4,2000
+ static EvtId PI0=EvtPDL::getId("pi0");
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+
+//this may need to be revised
+
+if (((getDaugs()[0]==PIP) && (getDaugs()[1]==PIM)) || ((getDaugs()[0]==PIM) && (getDaugs()[1]==PIP))) {
+ setProbMax(4.0*(getArg(2)*getArg(2)+getArg(4)*getArg(4)));
+}
+
+if ((getDaugs()[0]==PI0) && (getDaugs()[1]==PI0)) {
+ setProbMax(2.0*(4.0*getArg(2)*getArg(2)+getArg(4)*getArg(4)));
+}
+
+if (((getDaugs()[0]==PIP) && (getDaugs()[1]==PI0)) || ((getDaugs()[0]==PI0) && (getDaugs()[1]==PIP))) {
+ setProbMax(6.0*getArg(2)*getArg(2));
+}
+
+if (((getDaugs()[0]==PI0) && (getDaugs()[1]==PIM)) || ((getDaugs()[0]==PIM) && (getDaugs()[1]==PI0))) {
+ setProbMax(6.0*getArg(4)*getArg(4));
+}
+
+}
+
+void EvtBto2piCPiso::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+ static EvtId PI0=EvtPDL::getId("pi0");
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+
+ double t;
+ EvtId other_b;
+ int charged=0;
+
+//randomly generate the tag (B0 or B0B)
+
+ double tag = EvtRandom::Flat(0.0,1.0);
+ if (tag < 0.5) {
+
+ EvtCPUtil::OtherB(p,t,other_b,1.0);
+ other_b = B0;
+ }
+ else {
+
+ EvtCPUtil::OtherB(p,t,other_b,0.0);
+ other_b = B0B;
+ }
+
+ EvtComplex amp;
+
+ EvtComplex A,Abar;
+ EvtComplex A2, A2_bar, A0, A0_bar;
+
+ A2 = EvtComplex(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+ A2_bar = EvtComplex(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
+
+ A0 = EvtComplex(getArg(6)*cos(getArg(7)),getArg(6)*sin(getArg(7)));
+ A0_bar = EvtComplex(getArg(8)*cos(getArg(9)),getArg(8)*sin(getArg(9)));
+
+ //depending on what combination of pi pi we have, there will be different
+ //A and Abar
+
+ if (((getDaugs()[0]==PIP) && (getDaugs()[1]==PI0)) || ((getDaugs()[0]==PI0) && (getDaugs()[1]==PIP))) {
+
+ //pi+ pi0, so just A_2
+
+ charged = 1;
+ A = 3.0*A2;
+
+ }
+
+ if (((getDaugs()[0]==PI0) && (getDaugs()[1]==PIM)) || ((getDaugs()[0]==PIM) && (getDaugs()[1]==PI0))) {
+
+ //pi- pi0, so just A2_bar
+
+ charged = 1;
+ A = 3.0*A2_bar;
+
+ }
+
+ if (((getDaugs()[0]==PIP) && (getDaugs()[1]==PIM)) || ((getDaugs()[0]==PIM) && (getDaugs()[1]==PIP))) {
+
+//pi+ pi-, so A_2 - A_0
+
+ charged = 0;
+ A=sqrt(2.0)*(A2-A0);
+ Abar=sqrt(2.0)*(A2_bar-A0_bar);
+ }
+
+ if ((getDaugs()[0]==PI0) && (getDaugs()[1]==PI0)) {
+
+ //pi0 pi0, so 2*A_2 + A_0
+
+ charged = 0;
+ A=2.0*A2 + A0;
+ Abar=2.0*A2_bar + A0_bar;
+ }
+
+ if(charged == 0) {
+
+ if (other_b==B0B){
+ amp=A*cos(getArg(1)*t/(2*EvtConst::c))+
+ EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*Abar*sin(getArg(1)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+ amp=A*EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(1)*t/(2*EvtConst::c))+
+ Abar*cos(getArg(1)*t/(2*EvtConst::c));
+ }
+ }
+ else amp = A;
+
+ vertex(amp);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtBto2piCPiso.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTO2PICPISO_HH
+#define EVTBTO2PICPISO_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtBto2piCPiso:public EvtDecayAmp {
+
+public:
+
+ EvtBto2piCPiso() {}
+ virtual ~EvtBto2piCPiso();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtBtoKD3P.cc,v 1.7 2009/02/19 03:23:29 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 2003, Colorado State University
+//
+// Module creator:
+// Abi soffer, CSU, 2003
+//-----------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+// Decay model that does the decay B+->D0K, D0->3 psudoscalars
+
+#include <assert.h>
+
+#include "EvtGenModels/EvtBtoKD3P.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtPto3P.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+using std::endl;
+
+//------------------------------------------------------------------
+EvtBtoKD3P::EvtBtoKD3P() :
+ _model1(0),
+ _model2(0),
+ _decayedOnce(false)
+{
+}
+
+//------------------------------------------------------------------
+EvtBtoKD3P::EvtBtoKD3P(const EvtBtoKD3P & other){
+}
+
+//------------------------------------------------------------------
+EvtBtoKD3P::~EvtBtoKD3P(){
+}
+
+//------------------------------------------------------------------
+EvtDecayBase * EvtBtoKD3P::clone(){
+ return new EvtBtoKD3P();
+}
+
+//------------------------------------------------------------------
+std::string EvtBtoKD3P::getName(){
+ return "BTOKD3P";
+}
+
+//------------------------------------------------------------------
+void EvtBtoKD3P::init(){
+ checkNArg(2); // r, phase
+ checkNDaug(3); // K, D0(allowed), D0(suppressed).
+ // The last two daughters are really one particle
+
+ // check that the mother and all daughters are scalars:
+ checkSpinParent ( EvtSpinType::SCALAR);
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+
+ // Check that the B dtr types are K D D:
+
+ // get the parameters:
+ _r = getArg(0);
+ double phase = getArg(1);
+ _exp = EvtComplex(cos(phase), sin(phase));
+}
+
+//------------------------------------------------------------------
+void EvtBtoKD3P::initProbMax(){
+ setProbMax(1); // this is later changed in decay()
+}
+
+//------------------------------------------------------------------
+void EvtBtoKD3P::decay(EvtParticle *p){
+ // tell the subclass that we decay the daughter:
+ _daugsDecayedByParentModel = true;
+
+ // the K is the 1st daughter of the B EvtParticle.
+ // The decay mode of the allowed D (the one produced in b->c decay) is 2nd
+ // The decay mode of the suppressed D (the one produced in b->u decay) is 3rd
+ const int KIND = 0;
+ const int D1IND = 1;
+ const int D2IND = 2;
+
+ // generate kinematics of daughters (K and D):
+ EvtId tempDaug[2] = {getDaug(KIND), getDaug(D1IND)};
+ p->initializePhaseSpace(2, tempDaug);
+
+ // Get the D daughter particle and the decay models of the allowed
+ // and suppressed D modes:
+ EvtParticle * theD = p->getDaug(D1IND);
+ EvtPto3P * model1 = (EvtPto3P*)(EvtDecayTable::getDecayFunc(theD));
+
+ // for the suppressed mode, re-initialize theD as the suppressed D alias:
+ theD->init(getDaug(D2IND), theD->getP4());
+ EvtPto3P * model2 = (EvtPto3P*)(EvtDecayTable::getDecayFunc(theD));
+
+ // on the first call:
+ if (false == _decayedOnce) {
+ _decayedOnce = true;
+
+ // store the D decay model pointers:
+ _model1 = model1;
+ _model2 = model2;
+
+ // check the decay models of the first 2 daughters and that they
+ // have the same final states:
+ std::string name1=model1->getName();
+ std::string name2=model2->getName();
+
+ if (name1 != "PTO3P") {
+ report(ERROR,"EvtGen")
+ << "D daughters of EvtBtoKD3P decay must decay via the \"PTO3P\" model"
+ << endl
+ << " but found to decay via " << name1.c_str()
+ << " or " << name2.c_str()
+ << ". Will terminate execution!" << endl;
+ assert(0);
+ }
+
+ EvtId * daugs1 = model1->getDaugs();
+ EvtId * daugs2 = model2->getDaugs();
+
+ bool idMatch = true;
+ int d;
+ for (d = 0; d < 2; ++d) {
+ if (daugs1[d] != daugs2[d]) {
+ idMatch = false;
+ }
+ }
+ if (false == idMatch) {
+ report(ERROR,"EvtGen")
+ << "D daughters of EvtBtoKD3P decay must decay to the same final state"
+ << endl
+ << " particles in the same order (not CP-conjugate order)," << endl
+ << " but they were found to decay to" << endl;
+ for (d = 0; d < model1->getNDaug(); ++d) {
+ report(ERROR,"") << " " << EvtPDL::name(daugs1[d]).c_str() << " ";
+ }
+ report(ERROR,"") << endl;
+ for (d = 0; d < model1->getNDaug(); ++d) {
+ report(ERROR,"") << " " << EvtPDL::name(daugs2[d]).c_str() << " ";
+ }
+ report(ERROR,"") << endl << ". Will terminate execution!" << endl;
+ assert(0);
+ }
+
+ // estimate the probmax. Need to know the probmax's of the 2
+ // models for this:
+ setProbMax(model1->getProbMax(0)
+ + _r * _r * model2->getProbMax(0)
+ + 2 * _r * sqrt(model1->getProbMax(0) * model2->getProbMax(0)));
+
+ } // end of things to do on the first call
+
+ // make sure the models haven't changed since the first call:
+ if (_model1 != model1 || _model2 != model2) {
+ report(ERROR,"EvtGen")
+ << "D daughters of EvtBtoKD3P decay should have only 1 decay modes, "
+ << endl
+ << " but a new decay mode was found after the first call" << endl
+ << " Will terminate execution!" << endl;
+ assert(0);
+ }
+
+ // get the cover function for each of the models and add them up.
+ // They are summed with coefficients 1 because we are willing to
+ // take a small inefficiency (~50%) in order to ensure that the
+ // cover function is large enough without getting into complications
+ // associated with the smallness of _r:
+ EvtPdfSum<EvtDalitzPoint> * pc1 = model1->getPC();
+ EvtPdfSum<EvtDalitzPoint> * pc2 = model2->getPC();
+ EvtPdfSum<EvtDalitzPoint> pc;
+ pc.addTerm(1.0, *pc1);
+ pc.addTerm(1.0, *pc2);
+
+ // from this combined cover function, generate the Dalitz point:
+ EvtDalitzPoint x = pc.randomPoint();
+
+ // get the aptitude for each of the models on this point and add them up:
+ EvtComplex amp1 = model1->amplNonCP(x);
+ EvtComplex amp2 = model2->amplNonCP(x);
+ EvtComplex amp = amp1 + amp2 * _r * _exp;
+
+ // get the value of the cover function for this point and set the
+ // relative amplitude for this decay:
+
+ double comp = sqrt(pc.evaluate (x));
+ vertex (amp/comp);
+
+ // Make the daughters of theD:
+ theD->generateMassTree();
+
+ // Now generate the p4's of the daughters of theD:
+ std::vector<EvtVector4R> v = model2->initDaughters(x);
+
+ if(v.size() != theD->getNDaug()) {
+ report(ERROR,"EvtGen")
+ << "Number of daughters " << theD->getNDaug()
+ << " != " << "Momentum vector size " << v.size()
+ << endl
+ << " Terminating execution." << endl;
+ assert(0);
+ }
+
+ // Apply the new p4's to the daughters:
+ for(unsigned int i=0; i<theD->getNDaug(); ++i){
+ theD->getDaug(i)->init(model2->getDaugs()[i], v[i]);
+ }
+}
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtBtoKD3P.hh,v 1.4 2006/10/02 01:07:45 lange Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 2003, Colorado State University
+//
+// Module creator:
+// Abi soffer, CSU, 2003
+//-----------------------------------------------------------------------
+
+// Decay model that does the decay B+ -> K+ D , D -> 3 psudoscalars.
+//
+// The B- daughters specified in the decay file should be K-, D0, D0,
+// where the first D0 is produced via b->c decay and the second via b->u.
+// In reality, only one D daughter exists, so the first two
+// daughters must be defined to decay to the same final state using
+// the EvtPto3P model, but with CP-conjugate amplitudes.
+//
+// For a given point in the Pto3P Dalitz plot,
+// the total amplitude is \propto [A1 + A2 r exp(i(phase))], where
+//
+// A1 & A2 are the amplitudes of the D0 and D0bar to decay into that
+// Dalitz plot point,
+//
+// r is the (positive) ratio between the A(B->B0bar K) and A(B->D0 K)
+// B decay amplitudes,
+//
+// phase is the total phase difference (weak phase + strong phase) between
+// A(B->D0bar K) and A(B->B0 K).
+//
+// Note that this model knows nothing about your convention for the
+// sign of the phase, so when specifying the decay of a B- you need to
+// change the order of D0 and D0bar and change the total phase so that
+// the sign of the weak phase flips with respect to the parameters of B+.
+//
+
+#ifndef EVT_BTOKD3P
+#define EVT_BTOKD3P
+
+class EvtParticle;
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtComplex.hh"
+
+
+class EvtBtoKD3P : public EvtDecayAmp {
+
+public:
+ EvtBtoKD3P();
+ EvtBtoKD3P(const EvtBtoKD3P & other);
+ virtual ~EvtBtoKD3P();
+ EvtDecayBase* clone();
+
+ // Initialize model
+ virtual void init();
+ virtual void initProbMax();
+ virtual void decay(EvtParticle *p);
+
+ // we really have two daughters, although three are listed in the .dec file:
+ virtual int nRealDaughters() { return 2;}
+
+ std::string getName();
+
+protected:
+ // parameters:
+ double _r;
+ EvtComplex _exp;
+
+ // other:
+ const EvtDecayBase * _model1;
+ const EvtDecayBase * _model2;
+ bool _decayedOnce;
+
+};
+
+
+#endif
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtBtoKpiCPiso.cc
+//
+// Description: Routine to decay B -> K pi with isospin amplitudes
+//
+// Modification history:
+//
+// RYD/NK Febuary 7, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBtoKpiCPiso.hh"
+#include <string>
+
+EvtBtoKpiCPiso::~EvtBtoKpiCPiso() {}
+
+std::string EvtBtoKpiCPiso::getName(){
+
+ return "BTOKPI_CP_ISO";
+
+}
+
+
+EvtDecayBase* EvtBtoKpiCPiso::clone(){
+
+ return new EvtBtoKpiCPiso;
+
+}
+
+
+void EvtBtoKpiCPiso::init(){
+
+ // check that there are 15 arguments
+ checkNArg(15);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+}
+
+
+void EvtBtoKpiCPiso::initProbMax() {
+
+//this might need to be revised
+
+ //added by Lange Jan4,2000
+ static EvtId PI0=EvtPDL::getId("pi0");
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi+");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+
+if (((getDaug(0)==PI0) && (getDaug(1)==KP)) || ((getDaug(0)==KP) && (getDaug(1)==PI0))) {
+ setProbMax(2.0*(getArg(2)*getArg(2) + getArg(10)*getArg(10)));
+ }
+
+if (((getDaug(0)==PI0) && (getDaug(1)==KM)) || ((getDaug(0)==KM) && (getDaug(1)==PI0))) {
+ setProbMax( 2.0*(getArg(4)*getArg(4) + getArg(12)*getArg(12)));
+ }
+
+if (((getDaug(0)==PIP) && (getDaug(1)==K0)) || ((getDaug(0)==K0) && (getDaug(1)==PIP))) {
+ setProbMax( 4.0*(getArg(6)*getArg(6) + getArg(10)*getArg(10)));
+ }
+
+if (((getDaug(0)==PIM) && (getDaug(1)==KB)) || ((getDaug(0)==KB) && (getDaug(1)==PIM))) {
+ setProbMax( 4.0*(getArg(8)*getArg(8) + getArg(12)*getArg(12)));
+}
+
+if (((getDaug(0)==PI0) && (getDaug(1)==K0)) || ((getDaug(0)==K0) && (getDaug(1)==PI0))) {
+ setProbMax( 2.0*(getArg(2)*getArg(2) + getArg(10)*getArg(10)));
+}
+
+if (((getDaug(0)==PI0) && (getDaug(1)==KB)) || ((getDaug(0)==KB) && (getDaug(1)==PI0))) {
+ setProbMax( 2.0*(getArg(4)*getArg(4) + getArg(12)*getArg(12)));
+}
+
+if (((getDaug(0)==PIM) && (getDaug(1)==KP)) || ((getDaug(0)==KP) && (getDaug(1)==PIM))) {
+ setProbMax( 4.0*(getArg(6)*getArg(6) + getArg(10)*getArg(10)));
+}
+
+if (((getDaug(0)==PIP) && (getDaug(1)==KM)) || ((getDaug(0)==KM) && (getDaug(1)==PIP))) {
+ setProbMax( 4.0*(getArg(8)*getArg(8) + getArg(12)*getArg(12)));
+}
+}
+
+void EvtBtoKpiCPiso::decay( EvtParticle *p ){
+
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ //added by Lange Jan4,2000
+ static EvtId PI0=EvtPDL::getId("pi0");
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi+");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+
+
+ EvtComplex A;
+ EvtComplex U, Ubar, V, Vbar, W, Wbar;
+
+ U = EvtComplex(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+ Ubar = EvtComplex(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
+ V = EvtComplex(getArg(6)*cos(getArg(7)),getArg(6)*sin(getArg(7)));
+ Vbar = EvtComplex(getArg(8)*cos(getArg(9)),getArg(8)*sin(getArg(9)));
+ W = EvtComplex(getArg(10)*cos(getArg(11)),getArg(10)*sin(getArg(11)));
+ Wbar = EvtComplex(getArg(12)*cos(getArg(13)),getArg(12)*sin(getArg(13)));
+
+//depending on what combination of K pi we have, there will be different
+//A and Abar (only A given in comments!)
+
+if (((getDaug(0)==PI0) && (getDaug(1)==KP)) || ((getDaug(0)==KP) && (getDaug(1)==PI0))) {
+
+//pi0 K+, so U - W
+
+ A = U - W;
+ }
+
+if (((getDaug(0)==PI0) && (getDaug(1)==KM)) || ((getDaug(0)==KM) && (getDaug(1)==PI0))) {
+
+//pi0 K-, so Ubar - Wbar
+
+ A = Ubar - Wbar;
+ }
+
+ if (((getDaug(0)==PIP) && (getDaug(1)==K0)) || ((getDaug(0)==K0) && (getDaug(1)==PIP))) {
+
+//pi+ K0, so V + W
+
+ A = sqrt(2.0)*(V + W);
+ }
+
+ if (((getDaug(0)==PIM) && (getDaug(1)==KB)) || ((getDaug(0)==KB) && (getDaug(1)==PIM))) {
+
+//pi- K0bar, so Vbar + Wbar
+ A = sqrt(2.0)*(Vbar + Wbar);
+ }
+
+ if (((getDaug(0)==PI0) && (getDaug(1)==K0)) || ((getDaug(0)==K0) && (getDaug(1)==PI0))) {
+
+//pi0 K0, so U + W
+
+ A= U + W;
+ }
+
+ if (((getDaug(0)==PI0) && (getDaug(1)==KB)) || ((getDaug(0)==KB) && (getDaug(1)==PI0))) {
+
+ A = Ubar + Wbar;
+ }
+
+ if (((getDaug(0)==PIM) && (getDaug(1)==KP)) || ((getDaug(0)==KP) && (getDaug(1)==PIM))) {
+
+//pi- K+, so V - W
+
+ A = sqrt(2.0)*(V - W);
+ }
+
+ if (((getDaug(0)==PIP) && (getDaug(1)==KM)) || ((getDaug(0)==KM) && (getDaug(1)==PIP))) {
+
+ A = sqrt(2.0)*(Vbar - Wbar);
+ }
+
+ vertex(A);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtBtoKpiCPiso.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOKPICPISO_HH
+#define EVTBTOKPICPISO_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+
+class EvtBtoKpiCPiso:public EvtDecayAmp {
+
+public:
+
+ EvtBtoKpiCPiso() {}
+ virtual ~EvtBtoKpiCPiso();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsEtap.cc
+//
+// Description: Routine to perform two-body non-resonant B->Xs,gluon decays.
+// It generates an X_s mass spectrum based on a parameterisation of the
+// b->s,gluon spectrum of Atwood-Soni. The resultant X_s particles may
+// be decayed by JETSET.
+//
+// Modification history:
+//
+// Adlene Hicheur January 10, 2001 Module created
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBtoXsEtap.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+using std::endl;
+
+EvtBtoXsEtap::~EvtBtoXsEtap() {}
+
+std::string EvtBtoXsEtap::getName(){
+
+ return "BTOXSETAP";
+
+}
+
+EvtDecayBase* EvtBtoXsEtap::clone(){
+
+ return new EvtBtoXsEtap;
+
+}
+
+
+void EvtBtoXsEtap::init(){
+
+ // check that there are no arguments
+
+ checkNArg(0);
+}
+
+void EvtBtoXsEtap::initProbMax(){
+
+ noProbMax();
+
+}
+
+void EvtBtoXsEtap::decay( EvtParticle *p ){
+
+ // useless
+ // if ( p->getNDaug() != 0 ) {
+ // //Will end up here because maxrate multiplies by 1.2
+ // report(DEBUG,"EvtGen") << "In EvtBtoXsEtap: X_s daughters should not be here!"<<endl;
+ // return;
+ //}
+
+ double m_b;
+ int i;
+ p->makeDaughters(getNDaug(),getDaugs());
+ EvtParticle *pdaug[MAX_DAUG];
+
+ for(i=0;i<getNDaug();i++){
+ pdaug[i]=p->getDaug(i);
+ }
+
+ static EvtVector4R p4[MAX_DAUG];
+ static double mass[MAX_DAUG];
+
+ m_b = p->mass();
+
+ // Prepare for phase space routine.
+
+ mass[1] = EvtPDL::getMass(getDaug(1));
+
+ double xbox, ybox, min, max,hichfit;
+ min=0.493;
+ max=4.3;
+ const double TwoPi = EvtConst::twoPi;
+ int Xscode = EvtPDL::getStdHep(getDaug(0));
+
+ // A five parameters fit, the shape is taken from Atwood & Soni
+
+ // double par[18];
+ double par[6];
+ if ((Xscode == 30343) || (Xscode == -30343) ||
+ (Xscode == 30353) || (Xscode == -30353)) { // Xsu or Xsd
+ min=0.6373; // Just above K pi threshold for Xsd/u
+ //min=0.6333; // K pi threshold for neutral Xsd
+ // par[0]=-2057.2380371094;
+ par[0]=2.36816;
+ // par[1]=2502.2556152344;
+ par[1]=0.62325725;
+ // par[2]=1151.5632324219;
+ par[2]=2.2;
+ // par[3]=0.82431584596634;
+ par[3]=-0.2109375;
+ // par[4]=-4110.5234375000;
+ par[4]=2.7;
+ // par[5]=8445.6757812500;
+ par[5]=0.54;
+ // par[6]=-3034.1894531250;
+ // par[7]=1.1557708978653;
+ // par[8]=1765.9311523438;
+ // par[9]=1.3730158805847;
+ // par[10]=0.51371538639069;
+ // par[11]=2.0056934356689;
+ // par[12]=37144.097656250;
+ // par[13]=-50296.781250000;
+ // par[14]=27319.095703125;
+ // par[15]=-7408.0678710938;
+ // par[16]=1000.8093261719;
+ // par[17]=-53.834449768066;
+ } else {
+ report(DEBUG,"EvtGen") << "In EvtBtoXsEtap: Particle with id " << Xscode << " is not a Xsd/u particle"<<endl;
+ return;
+ }
+
+ double boxheight=par[5];
+ double boxwidth=max-min;
+
+ mass[0]=0.0;
+ while ((mass[0] > max) || (mass[0] < min)){
+ xbox = EvtRandom::Flat(boxwidth)+min;
+ ybox=EvtRandom::Flat(boxheight);
+ if (xbox<par[2]) {
+
+ hichfit=(1/sqrt(TwoPi*par[1]))*exp(-0.5*pow((xbox-par[0])/par[1],2));
+ // alifit=par[0]+par[1]*xbox+par[2]*pow(xbox,2);
+ // } else if (xbox<par[7]) {
+ // alifit=par[4]+par[5]*xbox+par[6]*pow(xbox,2);
+ // } else if (xbox<par[11]) {
+ // alifit=par[8]*exp(-0.5*pow((xbox-par[9])/par[10],2));
+ } else {
+ hichfit=par[3]*pow((xbox-par[4]),2)+par[5];
+ // alifit=par[12]+par[13]*xbox+par[14]*pow(xbox,2)+par[15]*pow(xbox,3)+par[16]*pow(xbox,4)+par[17]*pow(xbox,5);
+ }
+ if (ybox>hichfit) {
+ mass[0]=0.0;
+ } else {
+ mass[0]=xbox;
+ }
+ }
+
+ // debug stuff: report(INFO,"EvtGen") << "Xscode " << Xscode << " daughter 1 mass " << mass[0] << " daughter 2 mass " << mass[1] << endl;
+
+ EvtGenKine::PhaseSpace( getNDaug(), mass, p4, m_b );
+
+ for(i=0;i<getNDaug();i++){
+ pdaug[i]->init( getDaugs()[i], p4[i] );
+ }
+
+ return ;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+//
+// Module: EvtGen/EvtBtoXsEtap.hh
+//
+// Description:
+// Class to generate non-resonant two-body b->s,gluon decays.
+//
+// Modification history:
+//
+// Adlene Hicheur Jannuary 10, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSETAP_HH
+#define EVTBTOXSETAP_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+class EvtBtoXsEtap:public EvtDecayIncoherent {
+
+public:
+
+ EvtBtoXsEtap() {}
+ virtual ~EvtBtoXsEtap();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgamma.cc
+//
+// Description: Routine to perform two-body non-resonant B->Xs,gamma decays.
+// Set the first input parameter to 1 to use the Ali-Greub model,
+// or 2 to use the Kagan-Neubert model.
+//
+// Modification history:
+//
+// Mark Ian Williams July 20, 2000 Module created
+// Mark Ian Williams July 21, 2000 Module works
+// Mark Ian Williams July 25, 2000 Works for all Xs modes
+// Mark Ian Williams Aug 09, 2000 New values for mass minima
+// Mark Ian Williams Sept 06, 2000 14 parameter M_Xs function
+// Mark Ian Williams Sept 07, 2000 18 parameter M_Xs function
+// Mark Ian Williams Sept 07, 2000 Tidied up the code
+// Mark Ian Williams Sept 10, 2000 Updated parameters
+// Mark Ian Williams Sept 11, 2000 Finalised code
+// Jane Tinslay March 21, 2001 Re-worked so that you can choose
+// between the Ali-Greub and Kagan-Neubert
+// Modules.
+//------------------------------------------------------------------------
+//
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBtoXsgamma.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenModels/EvtBtoXsgammaAliGreub.hh"
+#include "EvtGenModels/EvtBtoXsgammaKagan.hh"
+#include "EvtGenModels/EvtBtoXsgammaFixedMass.hh"
+#include "EvtGenModels/EvtBtoXsgammaFlatEnergy.hh"
+using std::endl;
+
+EvtBtoXsgamma::~EvtBtoXsgamma() {
+
+ delete _model; _model=0;
+
+}
+
+std::string EvtBtoXsgamma::getName(){
+
+ return "BTOXSGAMMA";
+
+}
+
+EvtDecayBase* EvtBtoXsgamma::clone(){
+
+ return new EvtBtoXsgamma;
+
+}
+
+void EvtBtoXsgamma::init(){
+ //Arguments:
+ // 0: Ali-Greub model = 1, Kagan model = 2
+ //No more arguments for Ali-Greub model
+ // 1:
+ // 2:
+ // 3:
+
+ // check that at least one b->sg model has been selected
+ if (getNArg() == 0) {
+
+ report(ERROR,"EvtGen") << "EvtBtoXsgamma generator expected "
+ << " at least 1 argument but found: "<<getNArg()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+}
+
+void EvtBtoXsgamma::initProbMax(){
+
+ noProbMax();
+
+}
+
+void EvtBtoXsgamma::decay( EvtParticle *p ){
+
+ //initialize here. -- its too damn slow otherwise.
+
+ if ( _model == 0 ) {
+
+ if (getArg(0) == 1) _model = new EvtBtoXsgammaAliGreub();
+ else if (getArg(0) == 2) _model = new EvtBtoXsgammaKagan();
+ else if (getArg(0) == 3) _model = new EvtBtoXsgammaFixedMass();
+ else if (getArg(0) == 4) _model = new EvtBtoXsgammaFlatEnergy();
+ else{
+ report(ERROR,"EvtGen") << "No valid EvtBtoXsgamma generator model selected "
+ << "Set arg(0) to 1 for Ali-Greub model or 2 for "
+ <<" Kagan model or 3 for a fixed mass"<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+ _model->init(getNArg(),getArgs());
+ }
+
+
+ // if ( p->getNDaug() != 0 ) {
+ //Will end up here because maxrate multiplies by 1.2
+ // report(DEBUG,"EvtGen") << "In EvtBtoXsgamma: X_s daughters should not be here!"<<endl;
+ // return;
+ //}
+
+ double m_b;
+ int i;
+ p->makeDaughters(getNDaug(),getDaugs());
+ EvtParticle *pdaug[MAX_DAUG];
+
+ for(i=0;i<getNDaug();i++){
+ pdaug[i]=p->getDaug(i);
+ }
+
+ static EvtVector4R p4[MAX_DAUG];
+ static double mass[MAX_DAUG];
+
+ m_b = p->mass();
+
+ mass[1] = EvtPDL::getMass(getDaug(1));
+
+ int Xscode = EvtPDL::getStdHep(getDaug(0));
+
+ mass[0] = _model->GetMass(Xscode);
+
+ EvtGenKine::PhaseSpace( getNDaug(), mass, p4, m_b );
+
+ for(i=0;i<getNDaug();i++){
+ pdaug[i]->init( getDaugs()[i], p4[i] );
+ }
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+//
+// Module: EvtGen/EvtBtoXsgamma.hh
+//
+// Description:
+// Class to generate non-resonant two-body b->s,gamma decays.
+//
+// Modification history:
+//
+// Mark Ian Williams July 20, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMA_HH
+#define EVTBTOXSGAMMA_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtBtoXsgammaAbsModel;
+class EvtParticle;
+
+class EvtBtoXsgamma:public EvtDecayIncoherent {
+
+public:
+
+ EvtBtoXsgamma() {_model=0;}
+
+ virtual ~EvtBtoXsgamma();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+private:
+
+ EvtBtoXsgammaAbsModel *_model;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgammaAbsModel.cc
+//
+// Description:
+// B->Xs gamma model base class.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2000 Module Created
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include "EvtGenModels/EvtBtoXsgammaAbsModel.hh"
+
+EvtBtoXsgammaAbsModel::~EvtBtoXsgammaAbsModel() {}
+
+void EvtBtoXsgammaAbsModel::init(int, double*) {
+
+ //This default version of init does nothing;
+ //A specialized version of this function can be
+ //supplied for each decay model to do initialization.
+
+ return;
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+//
+// Module: EvtGen/EvtBtoXsgammaAbsModel.hh
+//
+// Description:
+// B->Xs gamma model base class.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2000 Module Created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMAABSMODEL_HH
+#define EVTBTOXSGAMMAABSMODEL_HH
+
+class EvtBtoXsgammaAbsModel {
+
+public:
+
+ EvtBtoXsgammaAbsModel() {}
+
+ virtual ~EvtBtoXsgammaAbsModel();
+
+ virtual void init(int, double*);
+
+ virtual double GetMass(int code)=0;
+
+private:
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgammaAliGreub.cc
+//
+// Description: Routine to perform two-body non-resonant B->Xs,gamma decays.
+// It generates an X_s mass spectrum based on a parameterisation of the
+// b->s,gamma photon spectrum of Ali-Greub. The resultant X_s particles may
+// be decayed by JETSET.
+//
+// Modification history:
+//
+// Mark Ian Williams July 20, 2000 Module created
+// Mark Ian Williams July 21, 2000 Module works
+// Mark Ian Williams July 25, 2000 Works for all Xs modes
+// Mark Ian Williams Aug 09, 2000 New values for mass minima
+// Mark Ian Williams Sept 06, 2000 14 parameter M_Xs function
+// Mark Ian Williams Sept 07, 2000 18 parameter M_Xs function
+// Mark Ian Williams Sept 07, 2000 Tidied up the code
+// Mark Ian Williams Sept 10, 2000 Updated parameters
+// Mark Ian Williams Sept 11, 2000 Finalised code
+// Jane Tinslay March 21, 2000 Separated from EvtBtoXsgamma
+// class to allow choice of input models.
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtBtoXsgammaAliGreub.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+
+EvtBtoXsgammaAliGreub::~EvtBtoXsgammaAliGreub(){}
+
+void EvtBtoXsgammaAliGreub::init(int nArg, double* /*args*/){
+
+ if ((nArg - 1) != 0) {
+
+ report(ERROR,"EvtGen") << "EvtBtoXsgamma generator model "
+ << "EvtBtoXsgammaAliGreub expected "
+ << "zero arguments but found: "<<nArg-1<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+}
+
+double EvtBtoXsgammaAliGreub::GetMass(int Xscode) {
+
+ // The special lineshape for strange hadrons X_s in b -> s gamma:
+ // An 18 parameter function fitted to the theoretical mass spectrum
+ // of Ali & Greub for a B meson mass of 5.279 GeV; top quark mass of
+ // 174.3 GeV; strange quark mass of 0.48 GeV (tuned to give minimum
+ // M_Xs of 0.64 GeV) and Fermi momentum of 265 MeV for spectator quark
+ // mass of 150 MeV (from CLEO fit). Truncated at max on high side
+ // and min (just above K pi or KK thresold) on low side.
+ double min=0.64;
+ double max=4.5;
+ double xbox, ybox, alifit;
+ double mass=0.0;
+
+ double par[18];
+ if ((Xscode == 30343) || (Xscode == -30343) ||
+ (Xscode == 30353) || (Xscode == -30353)) { // Xsu or Xsd
+ min=0.6373; // Just above K pi threshold for Xsd/u
+ //min=0.6333; // K pi threshold for neutral Xsd
+ par[0]=-2057.2380371094;
+ par[1]=2502.2556152344;
+ par[2]=1151.5632324219;
+ par[3]=0.82431584596634;
+ par[4]=-4110.5234375000;
+ par[5]=8445.6757812500;
+ par[6]=-3034.1894531250;
+ par[7]=1.1557708978653;
+ par[8]=1765.9311523438;
+ par[9]=1.3730158805847;
+ par[10]=0.51371538639069;
+ par[11]=2.0056934356689;
+ par[12]=37144.097656250;
+ par[13]=-50296.781250000;
+ par[14]=27319.095703125;
+ par[15]=-7408.0678710938;
+ par[16]=1000.8093261719;
+ par[17]=-53.834449768066;
+ } else if ((Xscode == 30363) || (Xscode == -30363)) {
+ min = 0.9964; // Just above KK threshold for Xss
+ par[0]=-32263.908203125;
+ par[1]=57186.589843750;
+ par[2]=-24230.728515625;
+ par[3]=1.1155973672867;
+ par[4]=-12161.131835938;
+ par[5]=20162.146484375;
+ par[6]=-7198.8564453125;
+ par[7]=1.3783323764801;
+ par[8]=1995.1691894531;
+ par[9]=1.4655895233154;
+ par[10]=0.48869228363037;
+ par[11]=2.1038570404053;
+ par[12]=55100.058593750;
+ par[13]=-75201.703125000;
+ par[14]=41096.066406250;
+ par[15]=-11205.986328125;
+ par[16]=1522.4024658203;
+ par[17]=-82.379623413086;
+ } else {
+ report(DEBUG,"EvtGen") << "In EvtBtoXsgammaAliGreub: Particle with id " << Xscode << " is not a Xss particle"<<endl;
+ return 0;
+ }
+
+ double boxheight=par[8];
+ double boxwidth=max-min;
+
+ while ((mass > max) || (mass < min)){
+ xbox = EvtRandom::Flat(boxwidth)+min;
+ ybox=EvtRandom::Flat(boxheight);
+ if (xbox<par[3]) {
+ alifit=par[0]+par[1]*xbox+par[2]*pow(xbox,2);
+ } else if (xbox<par[7]) {
+ alifit=par[4]+par[5]*xbox+par[6]*pow(xbox,2);
+ } else if (xbox<par[11]) {
+ alifit=par[8]*exp(-0.5*pow((xbox-par[9])/par[10],2));
+ } else {
+ alifit=par[12]+par[13]*xbox+par[14]*pow(xbox,2)+par[15]*pow(xbox,3)+par[16]*pow(xbox,4)+par[17]*pow(xbox,5);
+ }
+ if (ybox>alifit) {
+ mass=0.0;
+ } else {
+ mass=xbox;
+ }
+ }
+ return mass;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+//
+// Module: EvtGen/EvtBtoXsgammaAliGreubFcn.hh
+//
+// Description:
+// Class to generate non-resonant two-body b->s,gamma decays.
+//
+// Modification history:
+//
+// Mark Ian Williams July 20, 2000 Module created
+// Jane Tinslay March 21, 2000 Separated from EvtBtoXsgamma
+// class to allow choice of input models.
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMAALIGREUB_HH
+#define EVTBTOXSGAMMAALIGREUB_HH
+#include "EvtGenModels/EvtBtoXsgammaAbsModel.hh"
+
+class EvtBtoXsgammaAliGreub : public EvtBtoXsgammaAbsModel {
+
+public:
+
+ EvtBtoXsgammaAliGreub() {}
+
+ virtual ~EvtBtoXsgammaAliGreub();
+
+ void init(int, double*);
+
+ double GetMass(int code);
+
+private:
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgammaFermiUtil.cc
+//
+// Description:
+// Class to hold various fermi functions and their helper functions. The
+// fermi functions are used in EvtBtoXsgammaKagan.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+//-----------------------
+// This Class's Header --
+//-----------------------
+#include "EvtGenModels/EvtBtoXsgammaFermiUtil.hh"
+#include "EvtGenModels/EvtItgTwoCoeffFcn.hh"
+#include "EvtGenModels/EvtBtoXsgammaRootFinder.hh"
+#include "EvtGenModels/EvtItgFunction.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+//---------------
+// C++ Headers --
+//---------------
+#include <iostream>
+#include <math.h>
+using std::endl;
+
+double EvtBtoXsgammaFermiUtil::FermiExpFunc(double y, const std::vector<double> &coeffs) {
+
+ //coeffs: 1 = lambdabar, 2 = a, 3 = lam1, 4 = norm
+ // report(INFO,"EvtGen")<<coeffs[4]<<endl;
+ return (pow(1. - (y/coeffs[1]),coeffs[2])*exp((-3.*pow(coeffs[1],2.)/coeffs[3])*y/coeffs[1]))/coeffs[4];
+
+}
+
+double EvtBtoXsgammaFermiUtil::FermiGaussFunc(double y, const std::vector<double> &coeffs) {
+
+ //coeffs: 1 = lambdabar, 2 = a, 3 = c, 4 = norm
+ return (pow(1. - (y/coeffs[1]),coeffs[2])*exp(-pow(coeffs[3],2.)*pow(1. - (y/coeffs[1]),2.)))/coeffs[4];
+
+}
+
+double EvtBtoXsgammaFermiUtil::FermiGaussFuncRoot(double lambdabar, double lam1, double mb, std::vector<double> &gammaCoeffs) {
+
+ std::vector<double> coeffs1(3);
+ std::vector<double> coeffs2(3);
+
+ coeffs1[0]=0.2;
+ coeffs1[1]=lambdabar;
+ coeffs1[2]=0.0;
+
+ coeffs2[0]=0.2;
+ coeffs2[1]=lambdabar;
+ coeffs2[2]=-lam1/3.;
+
+ EvtItgTwoCoeffFcn *lhFunc = new EvtItgTwoCoeffFcn(&FermiGaussRootFcnA, -mb, lambdabar, coeffs1, gammaCoeffs);
+ EvtItgTwoCoeffFcn *rhFunc = new EvtItgTwoCoeffFcn(&FermiGaussRootFcnB, -mb, lambdabar, coeffs2, gammaCoeffs);
+
+ EvtBtoXsgammaRootFinder *rootFinder = new EvtBtoXsgammaRootFinder();
+
+ double root = rootFinder->GetGaussIntegFcnRoot(lhFunc, rhFunc, 1.0e-4, 1.0e-4, 40, 40, -mb, lambdabar, 0.2, 0.4, 1.0e-6);
+
+ delete rootFinder; rootFinder=0;
+ delete lhFunc; lhFunc=0;
+ delete rhFunc; rhFunc=0;
+ return root;
+
+}
+
+double EvtBtoXsgammaFermiUtil::FermiGaussRootFcnA(double y, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2) {
+
+
+ //coeffs1: 0=ap, 1=lambdabar, coeffs2=gamma function coeffs
+ double cp = Gamma((2.0 + coeffs1[0])/2., coeffs2)/Gamma((1.0 + coeffs1[0])/2., coeffs2);
+
+ return (y*y)*pow((1. - (y/coeffs1[1])),coeffs1[0])*exp(-pow(cp,2)*pow((1.-(y/coeffs1[1])),2.));
+
+}
+
+double EvtBtoXsgammaFermiUtil::FermiGaussRootFcnB(double y, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2) {
+
+ //coeffs1: 0=ap, 1=lambdabar, coeffs2=gamma function coeffs
+ double cp = Gamma((2.0 + coeffs1[0])/2., coeffs2)/Gamma((1.0 + coeffs1[0])/2., coeffs2);
+ return pow((1. - (y/coeffs1[1])),coeffs1[0])*exp(-pow(cp,2)*pow((1.-(y/coeffs1[1])),2.));
+
+}
+
+double EvtBtoXsgammaFermiUtil::Gamma(double z, const std::vector<double> &coeffs) {
+
+ //Lifted from Numerical Recipies in C
+ double x, y, tmp, ser;
+
+ int j;
+ y = z;
+ x = z;
+
+ tmp = x + 5.5;
+ tmp = tmp - (x+0.5)*log(tmp);
+ ser=1.000000000190015;
+
+ for (j=0;j<6;j++) {
+ y = y +1.0;
+ ser = ser + coeffs[j]/y;
+ }
+
+ return exp(-tmp+log(2.5066282746310005*ser/x));
+
+}
+
+double EvtBtoXsgammaFermiUtil::BesselK1(double x) {
+
+ //Lifted from Numerical Recipies in C : Returns the modified Bessel
+ //function K_1(x) for positive real x
+ if (x<0.0) report(INFO,"EvtGen") <<"x is negative !"<<endl;
+
+ double y, ans;
+
+ if (x <= 2.0) {
+ y=x*x/4.0;
+ ans = (log(x/2.0)*BesselI1(x))+(1.0/x)*(1.0+y*(0.15443144+y*(-0.67278579+y*(-0.18156897+y*(-0.1919402e-1+y*(-0.110404e-2+y*(-0.4686e-4)))))));
+ }
+ else {
+ y=2.0/x;
+ ans=(exp(-x)/sqrt(x))*(1.25331414+y*(0.23498619+y*(-0.3655620e-1+y*(0.1504268e-1+y*(-0.780353e-2+y*(0.325614e-2+y*(-0.68245e-3)))))));
+ }
+ return ans;
+
+}
+
+double EvtBtoXsgammaFermiUtil::BesselI1(double x) {
+ //Lifted from Numerical Recipies in C : Returns the modified Bessel
+ //function I_1(x) for any real x
+
+ double ax, ans;
+ double y;
+
+ ax=fabs(x);
+ if ( ax < 3.75) {
+ y=x/3.75;
+ y*=y;
+ ans=ax*(0.5+y*(0.87890594+y*(0.51498869+y*(0.15084934+y*(0.2658733e-1+y*(0.301532e-2+y*0.32411e-3))))));
+ }
+ else {
+ y=3.75/ax;
+ ans=0.2282967e-1+y*(-0.2895312e-1+y*(0.1787654e-1 -y*0.420059e-2));
+ ans=0.398914228+y*(-0.3988024e-1+y*(-0.362018e-2+y*(0.163801e-2+y*(-0.1031555e-1+y*ans))));
+ ans*=(exp(ax)/sqrt(ax));
+ }
+ return x < 0.0 ? -ans:ans;
+}
+
+double EvtBtoXsgammaFermiUtil::FermiRomanFuncRoot(double lambdabar, double lam1) {
+
+ EvtItgFunction *lhFunc = new EvtItgFunction(&FermiRomanRootFcnA, -1.e-6, 1.e6);
+
+ EvtBtoXsgammaRootFinder *rootFinder = new EvtBtoXsgammaRootFinder();
+ double rhSide = 1.0 - (lam1/(3.0*lambdabar*lambdabar));
+
+ double rho = rootFinder->GetRootSingleFunc(lhFunc, rhSide, 0.1, 0.4, 1.0e-6);
+ //rho=0.250353;
+ report(INFO,"EvtGen")<<"rho/2 "<<rho/2.<<" bessel "<<BesselK1(rho/2.)<<endl;
+ double pF = lambdabar*sqrt(EvtConst::pi)/(rho*exp(rho/2.)*BesselK1(rho/2.));
+ report(INFO,"EvtGen")<<"rho "<<rho<<" pf "<<pF<<endl;
+
+ delete lhFunc; lhFunc=0;
+ delete rootFinder; rootFinder=0;
+ return rho;
+
+}
+
+double EvtBtoXsgammaFermiUtil::FermiRomanRootFcnA(double y) {
+
+ return EvtConst::pi*(2. + y)*pow(y,-2.)*exp(-y)*pow(BesselK1(y/2.),-2.);
+
+}
+double EvtBtoXsgammaFermiUtil::FermiRomanFunc(double y, const std::vector<double> &coeffs) {
+ if (y == (coeffs[1]-coeffs[2])) y=0.99999999*(coeffs[1]-coeffs[2]);
+
+ //coeffs: 1 = mB, 2=mb, 3=rho, 4=lambdabar, 5=norm
+ double pF = coeffs[4]*sqrt(EvtConst::pi)/(coeffs[3]*exp(coeffs[3]/2.)*BesselK1(coeffs[3]/2.));
+ // report(INFO,"EvtGen")<<" pf "<<y<<" "<<pF<<" "<<coeffs[1]<<" "<<coeffs[2]<<" "<<coeffs[3]<<" "<<coeffs[4]<<" "<<coeffs[5]<<endl;
+ //double pF=0.382533;
+
+ //report(INFO,"EvtGen")<<(coeffs[1]-coeffs[2])*(1./(sqrt(EvtConst::pi)*pF))<<endl;
+ //report(INFO,"EvtGen")<<(1.-y/(coeffs[1]-coeffs[2]))<<endl;
+ //report(INFO,"EvtGen")<<(coeffs[1]-coeffs[2])<<endl;
+ //report(INFO,"EvtGen")<<(coeffs[1]-coeffs[2])*(1.-y/(coeffs[1]-coeffs[2]))<<endl;
+
+ //report(INFO,"EvtGen")<<" "<<pF*coeffs[3]/((coeffs[1]-coeffs[2])*(1.-y/(coeffs[1]-coeffs[2])))<<endl;
+ // report(INFO,"EvtGen")<<" "<<((coeffs[1]-coeffs[2])/pF)*(1. -y/(coeffs[1]-coeffs[2]))<<endl;
+
+ //report(INFO,"EvtGen")<<"result "<<(coeffs[1]-coeffs[2])*(1./(sqrt(EvtConst::pi)*pF))*exp(-(1./4.)*pow(pF*(coeffs[3]/((coeffs[1]-coeffs[2])*(1.-y/(coeffs[1]-coeffs[2])))) - ((coeffs[1]-coeffs[2])/pF)*(1. -y/(coeffs[1]-coeffs[2])),2.))/coeffs[5];
+
+ //report(INFO,"EvtGen")<<"leaving"<<endl;
+ return (coeffs[1]-coeffs[2])*(1./(sqrt(EvtConst::pi)*pF))*exp(-(1./4.)*pow(pF*(coeffs[3]/((coeffs[1]-coeffs[2])*(1.-y/(coeffs[1]-coeffs[2])))) - ((coeffs[1]-coeffs[2])/pF)*(1. -y/(coeffs[1]-coeffs[2])),2.))/coeffs[5];
+
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Brunel University
+//
+// Module: EvtGen/EvtBtoXsgammaFermiUtil.hh
+//
+// Description:
+// Class to hold various fermi functions and their helper functions. The
+// fermi functions are used in EvtBtoXsgammaKagan.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMAFERMIUTIL_HH
+#define EVTBTOXSGAMMAFERMIUTIL_HH
+
+#include <vector>
+
+class EvtBtoXsgammaFermiUtil {
+
+//--------------------
+// Instance Members --
+//--------------------
+
+public:
+
+ // Constructors
+ EvtBtoXsgammaFermiUtil() { };
+ virtual ~EvtBtoXsgammaFermiUtil() { };
+
+ //Exponential function
+ static double FermiExpFunc(double var, const std::vector<double> &coeffs);
+
+ //Gaussian function and its helper functions
+ static double FermiGaussFunc(double, std::vector<double> const &coeffs);
+ static double FermiGaussFuncRoot(double, double, double, std::vector<double> &coeffs);
+ static double FermiGaussRootFcnA(double, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2);
+ static double FermiGaussRootFcnB(double, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2);
+ static double Gamma(double, const std::vector<double> &coeffs);
+
+ //Roman function and its helper functions
+ static double BesselI1(double);
+ static double BesselK1(double);
+ static double FermiRomanFuncRoot(double, double);
+ static double FermiRomanRootFcnA(double);
+ static double FermiRomanFunc(double, std::vector<double> const &coeffs);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgammaKagan.cc
+//
+// Description:
+// Routine to perform two-body B->Xs,gamma decays with a fixed hadronic
+// mass. For spectrum measurements.
+// The input parameters are 1: the hadronic mass
+
+// Modification history:
+//
+// Jim Libby October 11 2002
+//------------------------------------------------------------------------
+//
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenModels/EvtBtoXsgamma.hh"
+#include "EvtGenModels/EvtBtoXsgammaFixedMass.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <fstream>
+using std::endl;
+using std::fstream;
+
+EvtBtoXsgammaFixedMass::~EvtBtoXsgammaFixedMass(){
+}
+
+void EvtBtoXsgammaFixedMass::init(int nArg, double* args){
+
+ if ((nArg) > 2 || (nArg > 1 && nArg <2)){
+
+ report(ERROR,"EvtGen") << "EvtBtoXsgamma generator model "
+ << "EvtBtoXsgammaFixedMass expected "
+ << "either 1(default config) or two arguments but found: "<<nArg<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ if(nArg == 1){
+ _mH = 2.0;
+ }else{
+ _mH=args[1];
+ }
+}
+
+double EvtBtoXsgammaFixedMass::GetMass( int /*Xscode*/ ){
+ return _mH;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 2001 Brunel University, University of Wisconsin
+//
+// Module: EvtGen/EvtBtoXsgammaFixedMass.hh
+//
+// Description:
+// Implimentation of a fixed hadronic mass to measure spectrum
+//
+// Modification history:
+//
+// Jim Libby October 11, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMAFIXEDMASS_HH
+#define EVTBTOXSGAMMAFIXEDMASS_HH
+
+#include "EvtGenModels/EvtBtoXsgammaAbsModel.hh"
+
+class EvtBtoXsgammaFixedMass : public EvtBtoXsgammaAbsModel {
+
+public:
+
+ EvtBtoXsgammaFixedMass() {}
+
+ virtual ~EvtBtoXsgammaFixedMass();
+
+ void init(int, double*);
+
+ double GetMass(int code);
+
+private:
+ //Input parameters
+ double _mH;
+};
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgammaKagan.cc
+//
+// Description:
+// Routine to perform two-body B->Xs,gamma decays with a fixed hadronic
+// mass. For spectrum measurements.
+// The input parameters are 1: the hadronic mass
+// Modification history:
+//
+// Jim Libby October 11 2002
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include "EvtGenModels/EvtBtoXsgamma.hh"
+#include "EvtGenModels/EvtBtoXsgammaFlatEnergy.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <fstream>
+using std::endl;
+using std::fstream;
+
+EvtBtoXsgammaFlatEnergy::~EvtBtoXsgammaFlatEnergy(){
+}
+
+void EvtBtoXsgammaFlatEnergy::init(int nArg, double* args){
+
+ if ((nArg) > 3 || (nArg > 1 && nArg <3)){
+
+ report(ERROR,"EvtGen") << "EvtBtoXsgamma generator model "
+ << "EvtBtoXsgammaFlatEnergy expected "
+ << "either 1(default config) or two arguments but found: "<<nArg<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ _mB0=5.2794;
+ double mPi = 0.140;
+ double mK = 0.494;
+ if(nArg == 1){
+ _eMin = 1.7;
+ //Invariant mass of Xsd must be greater the m_pi+m_K leads to
+ //Egamma < (m_B**2-(m_pi+m_k)**2)/(2m_B)
+ _eMax = (pow(_mB0,2)-pow(mPi+mK,2))/(2.0*_mB0);
+ }else{
+ _eMin=args[1];
+ _eMax=args[2];
+ }
+ if (_eMax>(pow(_mB0,2)-pow(mPi+mK,2))/(2.0*_mB0)){
+ report(ERROR,"EvtGen") << "Emax greater than Kinematic limit" << endl;
+ report(ERROR,"EvtGen") << "Reset to the kinematic limit" << endl;
+ report(ERROR,"EvtGen") << "(m_B**2-(m_pi+m_k)**2)/(2m_B)" << endl;
+ _eMax = (pow(_mB0,2)-pow(mPi+mK,2))/(2.0*_mB0);
+ }
+ _eRange=_eMax-_eMin;
+}
+
+double EvtBtoXsgammaFlatEnergy::GetMass( int /*Xscode*/ ){
+
+ double eGamma = EvtRandom::Flat(_eRange)+_eMin;
+ double mH = sqrt(pow(_mB0,2)-2.0*_mB0*eGamma);
+ return mH;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 2001 Brunel University, University of Wisconsin
+//
+// Module: EvtGen/EvtBtoXsgammaFlatEnergy.hh
+//
+// Description:
+// Implimentation of a fixed hadronic mass to measure spectrum
+//
+// Modification history:
+//
+// Jim Libby October 11, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMAFLATENERGY_HH
+#define EVTBTOXSGAMMAFLATENERGY_HH
+
+#include "EvtGenModels/EvtBtoXsgammaAbsModel.hh"
+
+class EvtBtoXsgammaFlatEnergy : public EvtBtoXsgammaAbsModel {
+
+public:
+
+ EvtBtoXsgammaFlatEnergy() {}
+
+ virtual ~EvtBtoXsgammaFlatEnergy();
+
+ void init(int, double*);
+
+ double GetMass(int code);
+
+private:
+ //Input parameters
+ double _eMin;
+ double _eMax;
+ //
+ double _mB0;
+ double _eRange;
+};
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgammaKagan.cc
+//
+// Description:
+// Routine to perform two-body non-resonant B->Xs,gamma decays.
+// The X_s mass spectrum generated is based on the Kagan-Neubert model.
+// See hep-ph/9805303 for the model details and input parameters.
+//
+// The input parameters are 1:fermi_model, 2:mB, 3:mb, 4:mu, 5:lam1,
+// 6:delta, 7:z, 8:nIntervalS, 9:nIntervalmH. Choosing fermi_model=1
+// uses an exponential shape function, fermi_model=2 uses a gaussian
+// shape function and fermi_model=3 a roman shape function. The complete mass
+// spectrum for a given set of input parameters is calculated from
+// scratch in bins of nIntervalmH. The s22, s27 and s28 coefficients are calculated
+// in bins of nIntervalS. As the program includes lots of integration, the
+// theoretical hadronic mass spectra is computed for the first time
+// the init method is called. Then, all the other times (eg if we want to decay a B0
+// as well as an anti-B0) the vector mass info stored the first time is used again.
+//
+// Modification history:
+//
+// Jane Tinslay, Francesca Di Lodovico March 21, 2001 Module created
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include "EvtGenModels/EvtBtoXsgamma.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtBtoXsgammaKagan.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtItgSimpsonIntegrator.hh"
+#include "EvtGenModels/EvtItgFunction.hh"
+#include "EvtGenModels/EvtItgPtrFunction.hh"
+#include "EvtGenModels/EvtItgTwoCoeffFcn.hh"
+#include "EvtGenModels/EvtItgThreeCoeffFcn.hh"
+#include "EvtGenModels/EvtItgFourCoeffFcn.hh"
+#include "EvtGenModels/EvtItgAbsIntegrator.hh"
+#include "EvtGenModels/EvtBtoXsgammaFermiUtil.hh"
+
+#include <fstream>
+using std::endl;
+using std::fstream;
+
+bool EvtBtoXsgammaKagan::bbprod = false;
+double EvtBtoXsgammaKagan::intervalMH = 0;
+
+EvtBtoXsgammaKagan::~EvtBtoXsgammaKagan(){
+ delete [] massHad;
+ delete [] brHad;
+}
+
+void EvtBtoXsgammaKagan::init(int nArg, double* args){
+
+ if ((nArg) > 12 || (nArg > 1 && nArg <10) || nArg == 11){
+
+ report(ERROR,"EvtGen") << "EvtBtoXsgamma generator model "
+ << "EvtBtoXsgammaKagan expected "
+ << "either 1(default config) or "
+ << "10 (default mass range) or "
+ << "12 (user range) arguments but found: "
+ <<nArg<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ if(nArg == 1){
+ bbprod = true;
+ getDefaultHadronicMass();
+ }else{
+ bbprod = false;
+ computeHadronicMass(nArg, args);
+ }
+
+ double mHminLimit=0.6373;
+ double mHmaxLimit=4.5;
+
+ if (nArg>10){
+ _mHmin = args[10];
+ _mHmax = args[11];
+ if (_mHmin > _mHmax){
+ report(ERROR,"EvtGen") << "Minimum hadronic mass exceeds maximum "
+ << endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!" << endl;
+ ::abort();
+ }
+ if (_mHmin < mHminLimit){
+ report(ERROR,"EvtGen") << "Minimum hadronic mass below K pi threshold"
+ << endl;
+ report(ERROR,"EvtGen") << "Resetting to K pi threshold" << endl;
+ _mHmin = mHminLimit;
+ }
+ if (_mHmax > mHmaxLimit){
+ report(ERROR,"EvtGen") << "Maximum hadronic mass above 4.5 GeV/c^2"
+ << endl;
+ report(ERROR,"EvtGen") << "Resetting to 4.5 GeV/c^2" << endl;
+ _mHmax = mHmaxLimit;
+ }
+ }else{
+ _mHmin=mHminLimit; // usually just above K pi threshold for Xsd/u
+ _mHmax=mHmaxLimit;
+ }
+
+}
+
+void EvtBtoXsgammaKagan::getDefaultHadronicMass(){
+
+ massHad = new double[81];
+ brHad = new double[81];
+
+ double mass[81] = { 0, 0.0625995, 0.125199, 0.187798, 0.250398, 0.312997, 0.375597, 0.438196, 0.500796, 0.563395, 0.625995, 0.688594, 0.751194, 0.813793, 0.876392, 0.938992, 1.00159, 1.06419, 1.12679, 1.18939, 1.25199, 1.31459, 1.37719, 1.43979, 1.50239, 1.56499, 1.62759, 1.69019, 1.75278, 1.81538, 1.87798, 1.94058, 2.00318, 2.06578, 2.12838, 2.19098, 2.25358, 2.31618, 2.37878, 2.44138, 2.50398, 2.56658, 2.62918, 2.69178, 2.75438, 2.81698, 2.87958, 2.94217, 3.00477, 3.06737, 3.12997, 3.19257, 3.25517, 3.31777, 3.38037, 3.44297, 3.50557, 3.56817, 3.63077, 3.69337, 3.75597, 3.81857, 3.88117, 3.94377, 4.00637, 4.06896, 4.13156, 4.19416, 4.25676, 4.31936, 4.38196, 4.44456, 4.50716, 4.56976, 4.63236, 4.69496, 4.75756, 4.82016, 4.88276, 4.94536, 5.00796};
+
+ double br[81] = { 0, 1.03244e-09, 3.0239e-08, 1.99815e-07, 7.29392e-07, 1.93129e-06, 4.17806e-06, 7.86021e-06, 1.33421e-05, 2.09196e-05, 3.07815e-05, 4.29854e-05, 5.74406e-05, 7.3906e-05, 9.2003e-05, 0.000111223, 0.000130977, 0.000150618, 0.000169483, 0.000186934, 0.000202392, 0.000215366, 0.000225491, 0.000232496, 0.000236274, 0.000236835, 0.000234313, 0.000228942, 0.000221042, 0.000210994, 0.000199215, 0.000186137, 0.000172194, 0.000157775, 0.000143255, 0.000128952, 0.000115133, 0.000102012, 8.97451e-05, 7.84384e-05, 6.81519e-05, 5.89048e-05, 5.06851e-05, 4.34515e-05, 3.71506e-05, 3.1702e-05, 2.70124e-05, 2.30588e-05, 1.96951e-05, 1.68596e-05, 1.44909e-05, 1.25102e-05, 1.08596e-05, 9.48476e-06, 8.34013e-06, 7.38477e-06, 6.58627e-06, 5.91541e-06, 5.35022e-06, 4.87047e-06, 4.46249e-06, 4.11032e-06, 3.80543e-06, 3.54051e-06, 3.30967e-06, 3.10848e-06, 2.93254e-06, 2.78369e-06, 2.65823e-06, 2.55747e-06, 2.51068e-06, 2.57179e-06, 2.74684e-06, 3.02719e-06, 3.41182e-06, 3.91387e-06, 4.56248e-06, 5.40862e-06, 6.53915e-06, 8.10867e-06, 1.04167e-05 };
+
+ for(int i=0; i<81; i++){
+ massHad[i] = mass[i];
+ brHad[i] = br[i];
+ }
+ intervalMH=80;
+}
+
+void EvtBtoXsgammaKagan::computeHadronicMass(int /*nArg*/, double* args){
+
+ //Input parameters
+ int fermiFunction = (int)args[1];
+ _mB = args[2];
+ _mb = args[3];
+ _mu = args[4];
+ _lam1 = args[5];
+ _delta = args[6];
+ _z = args[7];
+ _nIntervalS = args[8];
+ _nIntervalmH = args[9];
+ std::vector<double> mHVect(int(_nIntervalmH+1.0));
+ massHad = new double[int(_nIntervalmH+1.0)];
+ brHad = new double[int(_nIntervalmH+1.0)];
+ intervalMH=_nIntervalmH;
+
+ //Going to have to add a new entry into the data file - takes ages...
+ report(WARNING,"EvtGen") << "EvtBtoXsgammaKagan: calculating new hadronic mass spectra. This takes a while..." << endl;
+
+ //Now need to compute the mHVect vector for
+ //the current parameters
+
+ //A few more parameters
+ double _mubar = _mu;
+ _mW = 80.33;
+ _mt = 175.0;
+ _alpha = 1./137.036;
+ _lambdabar = _mB - _mb;
+ _kappabar = 3.382 - 4.14*(sqrt(_z) - 0.29);
+ _fz=Fz(_z);
+ _rer8 = (44./9.) - (8./27.)*pow(EvtConst::pi,2.);
+ _r7 = (-10./3.) - (8./9.)*pow(EvtConst::pi,2.);
+ _rer2 = -4.092 + 12.78*(sqrt(_z) -.29);
+ _gam77 = 32./3.;
+ _gam27 = 416./81.;
+ _gam87 = -32./9.;
+ _lam2 = .12;
+ _beta0 = 23./3.;
+ _beta1 = 116./3.;
+ _alphasmZ = .118;
+ _mZ = 91.187;
+ _ms = _mb/50.;
+
+ double eGammaMin = 0.5*_mB*(1. - _delta);
+ double eGammaMax = 0.5*_mB;
+ double yMin = 2.*eGammaMin/_mB;
+ double yMax = 2.*eGammaMax/_mB;
+ double _CKMrat= 0.976;
+ double Nsl = 1.0;
+
+ //Calculate alpha the various scales
+ _alphasmW = CalcAlphaS(_mW);
+ _alphasmt = CalcAlphaS(_mt);
+ _alphasmu = CalcAlphaS(_mu);
+ _alphasmubar = CalcAlphaS(_mubar);
+
+ //Calculate the Wilson Coefficients and Delta
+ _etamu = _alphasmW/_alphasmu;
+ _kSLemmu = (12./23.)*((1./_etamu) -1.);
+ CalcWilsonCoeffs();
+ CalcDelta();
+
+ //Build s22 and s27 vector - saves time because double
+ //integration is required otherwise
+ std::vector<double> s22Coeffs(int(_nIntervalS+1.0));
+ std::vector<double> s27Coeffs(int(_nIntervalS+1.0));
+ std::vector<double> s28Coeffs(int(_nIntervalS+1.0));
+
+ double dy = (yMax - yMin)/_nIntervalS;
+ double yp = yMin;
+
+ std::vector<double> sCoeffs(1);
+ sCoeffs[0] = _z;
+
+ //Define s22 and s27 functions
+ EvtItgPtrFunction *mys22Func = new EvtItgPtrFunction(&s22Func, 0., yMax+0.1, sCoeffs);
+ EvtItgPtrFunction *mys27Func = new EvtItgPtrFunction(&s27Func, 0., yMax+0.1, sCoeffs);
+
+ //Use a simpson integrator
+ EvtItgAbsIntegrator *mys22Simp = new EvtItgSimpsonIntegrator(*mys22Func, 1.0e-4, 20);
+ EvtItgAbsIntegrator *mys27Simp = new EvtItgSimpsonIntegrator(*mys27Func, 1.0e-4, 50);
+
+ int i;
+
+ for (i=0;i<int(_nIntervalS+1.0);i++) {
+
+ s22Coeffs[i] = (16./27.)*mys22Simp->evaluate(1.0e-20,yp);
+ s27Coeffs[i] = (-8./9.)*_z*mys27Simp->evaluate(1.0e-20,yp);
+ s28Coeffs[i] = -s27Coeffs[i]/3.;
+ yp = yp + dy;
+
+ }
+
+ delete mys22Func;
+ delete mys27Func;
+ delete mys22Simp;
+ delete mys27Simp;
+
+ //Define functions and vectors used to calculate mHVect. Each function takes a set
+ //of vectors which are used as the function coefficients
+ std::vector<double> FermiCoeffs(6);
+ std::vector<double> varCoeffs(3);
+ std::vector<double> DeltaCoeffs(1);
+ std::vector<double> s88Coeffs(2);
+ std::vector<double> sInitCoeffs(3);
+
+ varCoeffs[0] = _mB;
+ varCoeffs[1] = _mb;
+ varCoeffs[2] = 0.;
+
+ DeltaCoeffs[0] = _alphasmu;
+
+ s88Coeffs[0] = _mb;
+ s88Coeffs[1] = _ms;
+
+ sInitCoeffs[0] = _nIntervalS;
+ sInitCoeffs[1] = yMin;
+ sInitCoeffs[2] = yMax;
+
+ FermiCoeffs[0]=fermiFunction;
+ FermiCoeffs[1]=0.0;
+ FermiCoeffs[2]=0.0;
+ FermiCoeffs[3]=0.0;
+ FermiCoeffs[4]=0.0;
+ FermiCoeffs[5]=0.0;
+
+ //Coefficients for gamma function
+ std::vector<double> gammaCoeffs(6);
+ gammaCoeffs[0]=76.18009172947146;
+ gammaCoeffs[1]=-86.50532032941677;
+ gammaCoeffs[2]=24.01409824083091;
+ gammaCoeffs[3]=-1.231739572450155;
+ gammaCoeffs[4]=0.1208650973866179e-2;
+ gammaCoeffs[5]=-0.5395239384953e-5;
+
+ //Calculate quantities for the fermi function to be used
+ //Distinguish among the different shape functions
+ if (fermiFunction == 1) {
+
+ FermiCoeffs[1]=_lambdabar;
+ FermiCoeffs[2]=(-3.*pow(_lambdabar,2.)/_lam1) - 1.;
+ FermiCoeffs[3]=_lam1;
+ FermiCoeffs[4]=1.0;
+
+ EvtItgPtrFunction *myNormFunc = new EvtItgPtrFunction(&EvtBtoXsgammaFermiUtil::FermiExpFunc, -_mb, _mB-_mb, FermiCoeffs);
+ EvtItgAbsIntegrator *myNormSimp = new EvtItgSimpsonIntegrator(*myNormFunc, 1.0e-4, 40);
+ FermiCoeffs[4]=myNormSimp->normalisation();
+ delete myNormFunc; myNormFunc=0;
+ delete myNormSimp; myNormSimp=0;
+
+ } else if (fermiFunction == 2) {
+
+ double a = EvtBtoXsgammaFermiUtil::FermiGaussFuncRoot(_lambdabar, _lam1, _mb, gammaCoeffs);
+ FermiCoeffs[1]=_lambdabar;
+ FermiCoeffs[2]=a;
+ FermiCoeffs[3]= EvtBtoXsgammaFermiUtil::Gamma((2.0 + a)/2., gammaCoeffs)/
+ EvtBtoXsgammaFermiUtil::Gamma((1.0 + a)/2., gammaCoeffs);
+ FermiCoeffs[4]=1.0;
+
+ EvtItgPtrFunction *myNormFunc = new EvtItgPtrFunction(&EvtBtoXsgammaFermiUtil::FermiGaussFunc, -_mb, _mB-_mb, FermiCoeffs);
+ EvtItgAbsIntegrator *myNormSimp = new EvtItgSimpsonIntegrator(*myNormFunc, 1.0e-4, 40);
+ FermiCoeffs[4]=myNormSimp->normalisation();
+ delete myNormFunc; myNormFunc=0;
+ delete myNormSimp; myNormSimp=0;
+
+ }
+ else if (fermiFunction == 3) {
+
+ double rho = EvtBtoXsgammaFermiUtil::FermiRomanFuncRoot(_lambdabar, _lam1);
+ FermiCoeffs[1]=_mB;
+ FermiCoeffs[2]=_mb;
+ FermiCoeffs[3]= rho;
+ FermiCoeffs[4]=_lambdabar;
+ FermiCoeffs[5]=1.0;
+
+ EvtItgPtrFunction *myNormFunc = new EvtItgPtrFunction(&EvtBtoXsgammaFermiUtil::FermiRomanFunc, -_mb, _mB-_mb, FermiCoeffs);
+ EvtItgAbsIntegrator *myNormSimp = new EvtItgSimpsonIntegrator(*myNormFunc, 1.0e-4, 40);
+ FermiCoeffs[5]=myNormSimp->normalisation();
+ delete myNormFunc; myNormFunc=0;
+ delete myNormSimp; myNormSimp=0;
+
+ }
+
+ //Define functions
+ EvtItgThreeCoeffFcn* myDeltaFermiFunc = new EvtItgThreeCoeffFcn(&DeltaFermiFunc, -_mb, _mB-_mb, FermiCoeffs, varCoeffs, DeltaCoeffs);
+ EvtItgThreeCoeffFcn* mys88FermiFunc = new EvtItgThreeCoeffFcn(&s88FermiFunc, -_mb, _mB-_mb, FermiCoeffs, varCoeffs, s88Coeffs);
+ EvtItgTwoCoeffFcn* mys77FermiFunc = new EvtItgTwoCoeffFcn(&s77FermiFunc, -_mb, _mB-_mb, FermiCoeffs, varCoeffs);
+ EvtItgTwoCoeffFcn* mys78FermiFunc = new EvtItgTwoCoeffFcn(&s78FermiFunc, -_mb, _mB-_mb, FermiCoeffs, varCoeffs);
+ EvtItgFourCoeffFcn* mys22FermiFunc = new EvtItgFourCoeffFcn(&sFermiFunc, -_mb, _mB-_mb, FermiCoeffs, varCoeffs, sInitCoeffs, s22Coeffs);
+ EvtItgFourCoeffFcn* mys27FermiFunc = new EvtItgFourCoeffFcn(&sFermiFunc, -_mb, _mB-_mb, FermiCoeffs, varCoeffs, sInitCoeffs, s27Coeffs);
+ EvtItgFourCoeffFcn* mys28FermiFunc = new EvtItgFourCoeffFcn(&sFermiFunc, -_mb, _mB-_mb, FermiCoeffs, varCoeffs, sInitCoeffs, s28Coeffs);
+
+ //Define integrators
+ EvtItgSimpsonIntegrator* myDeltaFermiSimp =
+ new EvtItgSimpsonIntegrator(*myDeltaFermiFunc, 1.0e-4, 40);
+ EvtItgSimpsonIntegrator* mys77FermiSimp =
+ new EvtItgSimpsonIntegrator(*mys77FermiFunc, 1.0e-4, 40);
+ EvtItgSimpsonIntegrator* mys88FermiSimp =
+ new EvtItgSimpsonIntegrator(*mys88FermiFunc, 1.0e-4, 40);
+ EvtItgSimpsonIntegrator* mys78FermiSimp =
+ new EvtItgSimpsonIntegrator(*mys78FermiFunc, 1.0e-4, 40);
+ EvtItgSimpsonIntegrator* mys22FermiSimp =
+ new EvtItgSimpsonIntegrator(*mys22FermiFunc, 1.0e-4, 40);
+ EvtItgSimpsonIntegrator* mys27FermiSimp =
+ new EvtItgSimpsonIntegrator(*mys27FermiFunc, 1.0e-4, 40);
+ EvtItgSimpsonIntegrator* mys28FermiSimp =
+ new EvtItgSimpsonIntegrator(*mys28FermiFunc, 1.0e-4, 40);
+
+ //Finally calculate mHVect for the range of hadronic masses
+ double mHmin = sqrt(_mB*_mB - 2.*_mB*eGammaMax);
+ double mHmax = sqrt(_mB*_mB - 2.*_mB*eGammaMin);
+ double dmH = (mHmax - mHmin)/_nIntervalmH;
+
+ double mH=mHmin;
+
+ //Calculating the Branching Fractions
+ for (i=0;i<int(_nIntervalmH+1.0);i++) {
+
+ double ymH = 1. - ((mH*mH)/(_mB*_mB));
+
+ //Need to set ymH as one of the input parameters
+ myDeltaFermiFunc->setCoeff(2, 2, ymH);
+ mys77FermiFunc->setCoeff(2, 2, ymH);
+ mys88FermiFunc->setCoeff(2, 2, ymH);
+ mys78FermiFunc->setCoeff(2, 2, ymH);
+ mys22FermiFunc->setCoeff(2, 2, ymH);
+ mys27FermiFunc->setCoeff(2, 2, ymH);
+ mys28FermiFunc->setCoeff(2, 2, ymH);
+
+ //Integrate
+
+ double deltaResult = myDeltaFermiSimp->evaluate((_mB*ymH-_mb),_mB-_mb);
+ double s77Result = mys77FermiSimp->evaluate((_mB*ymH-_mb),_mB-_mb);
+ double s88Result = mys88FermiSimp->evaluate((_mB*ymH-_mb),_mB-_mb);
+ double s78Result = mys78FermiSimp->evaluate((_mB*ymH-_mb),_mB-_mb);
+ double s22Result = mys22FermiSimp->evaluate((_mB*ymH-_mb),_mB-_mb);
+ double s27Result = mys27FermiSimp->evaluate((_mB*ymH-_mb),_mB-_mb);
+ mys28FermiSimp->evaluate((_mB*ymH-_mb),_mB-_mb);
+
+ double py = (pow(_CKMrat,2.)*(6./_fz)*(_alpha/EvtConst::pi)*(deltaResult*_cDeltatot + (_alphasmu/EvtConst::pi)*(s77Result*pow(_c70mu,2.) + s27Result*_c2mu*(_c70mu - _c80mu/3.) + s78Result*_c70mu*_c80mu + s22Result*_c2mu*_c2mu + s88Result*_c80mu*_c80mu ) ) );
+
+ mHVect[i] = 2.*(mH/(_mB*_mB))*0.105*Nsl*py;
+
+ massHad[i] = mH;
+ brHad[i] = 2.*(mH/(_mB*_mB))*0.105*Nsl*py;
+
+ mH = mH+dmH;
+
+ }
+
+ //Clean up
+ delete myDeltaFermiFunc; myDeltaFermiFunc=0;
+ delete mys88FermiFunc; mys88FermiFunc=0;
+ delete mys77FermiFunc; mys77FermiFunc=0;
+ delete mys78FermiFunc; mys78FermiFunc=0;
+ delete mys22FermiFunc; mys22FermiFunc=0;
+ delete mys27FermiFunc; mys27FermiFunc=0;
+ delete mys28FermiFunc; mys28FermiFunc=0;
+
+ delete myDeltaFermiSimp; myDeltaFermiSimp=0;
+ delete mys77FermiSimp; mys77FermiSimp=0;
+ delete mys88FermiSimp; mys88FermiSimp=0;
+ delete mys78FermiSimp; mys78FermiSimp=0;
+ delete mys22FermiSimp; mys22FermiSimp=0;
+ delete mys27FermiSimp; mys27FermiSimp=0;
+ delete mys28FermiSimp; mys28FermiSimp=0;
+
+}
+
+double EvtBtoXsgammaKagan::GetMass( int /*Xscode*/ ){
+
+// Get hadronic mass for the event according to the hadronic mass spectra computed in computeHadronicMass
+ double mass=0.0;
+ double min=_mHmin;
+ if(bbprod)min=1.1;
+ // double max=4.5;
+ double max=_mHmax;
+ double xbox(0), ybox(0);
+ double boxheight(0);
+ double trueHeight(0);
+ double boxwidth=max-min;
+ double wgt(0.);
+
+ for (int i=0;i<int(intervalMH+1.0);i++) {
+ if(brHad[i]>boxheight)boxheight=brHad[i];
+ }
+ while ((mass > max) || (mass < min)){
+ xbox = EvtRandom::Flat(boxwidth)+min;
+ ybox=EvtRandom::Flat(boxheight);
+ trueHeight=0.0;
+ // Correction by Peter Richardson
+ for( int i = 1 ; i < int( intervalMH + 1.0 ) ; ++i ) {
+ if ( ( massHad[i] >= xbox ) && ( 0.0 == trueHeight ) ) {
+ wgt=(xbox-massHad[i-1])/(massHad[i]-massHad[i-1]);
+ trueHeight=brHad[i-1]+wgt*(brHad[i]-brHad[i-1]);
+ }
+ }
+
+ if (ybox>trueHeight) {
+ mass=0.0;
+ } else {
+ mass=xbox;
+ }
+ }
+
+ return mass;
+}
+
+double EvtBtoXsgammaKagan::CalcAlphaS(double scale) {
+
+ double v = 1. -_beta0*(_alphasmZ/(2.*EvtConst::pi))*(log(_mZ/scale));
+ return (_alphasmZ/v)*(1. - ((_beta1/_beta0)*(_alphasmZ/(4.*EvtConst::pi))*(log(v)/v)));
+
+}
+
+void EvtBtoXsgammaKagan::CalcWilsonCoeffs( ){
+
+ double mtatmw=_mt*pow((_alphasmW/_alphasmt),(12./23.))*(1 + (12./23.)*((253./18.) - (116./23.))*((_alphasmW - _alphasmt)/(4.0*EvtConst::pi)) - (4./3.)*(_alphasmt/EvtConst::pi));
+ double xt=pow(mtatmw,2.)/pow(_mW,2.);
+
+
+
+ /////LO
+ _c2mu = .5*pow(_etamu,(-12./23.)) + .5*pow(_etamu,(6./23.));
+
+ double c7mWsm = ((3.*pow(xt,3.) - 2.*pow(xt,2.))/(4.*pow((xt - 1.),4.)))*log(xt)
+ + ((-8.*pow(xt,3.) - 5.*pow(xt,2.) + 7.*xt)/(24.*pow((xt - 1.),3.) )) ;
+
+ double c8mWsm = ((-3.*pow(xt,2.))/(4.*pow((xt - 1.),4.)))*log(xt)
+ + ((- pow(xt,3.) + 5.*pow(xt,2.) + 2.*xt)/(8.*pow((xt - 1.),3.)));
+
+ double c7constmu = (626126./272277.)*pow(_etamu,(14./23.))
+ - (56281./51730.)*pow(_etamu,(16./23.)) - (3./7.)*pow(_etamu,(6./23.))
+ - (1./14.)*pow(_etamu,(-12./23.)) - .6494*pow(_etamu,.4086) - .038*pow(_etamu,-.423)
+ - .0186*pow(_etamu,-.8994) - .0057*pow(_etamu,.1456);
+
+ _c70mu = c7mWsm*pow(_etamu,(16./23.)) + (8./3.)*(pow(_etamu,(14./23.))
+ -pow(_etamu,(16./23.)))*c8mWsm + c7constmu;
+
+ double c8constmu = (313063./363036.)*pow(_etamu,(14./23.))
+ -.9135*pow(_etamu,.4086) + .0873*pow(_etamu,-.423) - .0571*pow(_etamu,-.8994)
+ + .0209*pow(_etamu,.1456);
+
+ _c80mu = c8mWsm*pow(_etamu,(14./23.)) + c8constmu;
+
+ //Compute the dilogarithm (PolyLog(2,x)) with the Simpson integrator
+ //The dilogarithm is defined as: Li_2(x)=Int_0^x(-log(1.-z)/z)
+ //however, Mathematica implements it as Sum[z^k/k^2,{k,1,Infinity}], so, althought the two
+ //results are similar and both implemented in the program, we prefer to use the
+ //one closer to the Mathematica implementation as identical to what used by the theorists.
+
+ // EvtItgFunction *myDiLogFunc = new EvtItgFunction(&diLogFunc, 0., 1.-1./xt);
+ //EvtItgAbsIntegrator *myDiLogSimp = new EvtItgSimpsonIntegrator(*myDiLogFunc, 1.0e-4, 50);
+ //double li2 = myDiLogSimp->evaluate(1.0e-20,1.-1./xt);
+
+ double li2=diLogMathematica(1.-1./xt);
+
+double c7mWsm1 = ( (-16. *pow(xt,4.) -122. *pow(xt,3.) + 80. *pow(xt,2.) -8. *xt)/
+(9. *pow((xt -1.),4.)) * li2 +
+(6. *pow(xt,4.) + 46. *pow(xt,3.) -28. *pow(xt,2.))/(3. *pow((xt-1.),5.)) *pow(log(xt),2.)
++ (-102. *pow(xt,5.) -588. *pow(xt,4.) -2262. *pow(xt,3.) + 3244. *pow(xt,2.) -1364. *xt
++ 208.)/(81. *pow((xt-1),5.)) *log(xt)
++ (1646. *pow(xt,4.) + 12205. *pow(xt,3.) -10740. *pow(xt,2.) + 2509. *xt -436.)/
+(486. *pow((xt-1),4.)) );
+
+double c8mWsm1 = ((-4. *pow(xt,4.) + 40. *pow(xt,3.) + 41. *pow(xt,2.) + xt)/
+(6. *pow((xt-1.),4.)) * li2
++ (-17. *pow(xt,3.) -31. *pow(xt,2.))/(2. *pow((xt-1.),5.) ) *pow(log(xt),2.)
++ (-210. *pow(xt,5.) + 1086. *pow(xt,4.) + 4893. *pow(xt,3.) + 2857. *pow(xt,2.)
+-1994. *xt + 280.)/(216. *pow((xt-1),5.)) *log(xt)
++ (737. *pow(xt,4.) -14102. *pow(xt,3.) -28209. *pow(xt,2.) + 610. *xt -508.)/
+(1296. *pow((xt-1),4.)) );
+
+double E1 = (xt *(18. -11. *xt -pow(xt,2.))/(12.*pow( (1. -xt),3.))
++ pow(xt,2.)* (15. -16. *xt + 4. *pow(xt,2.))/(6. *pow((1. -xt),4.)) *log(xt)
+-2./3. *log(xt) );
+
+double e1 = 4661194./816831.;
+double e2 = -8516./2217. ;
+double e3 = 0.;
+double e4 = 0.;
+double e5 = -1.9043;
+double e6 = -.1008;
+double e7 = .1216;
+double e8 = .0183;
+
+double f1 = -17.3023;
+double f2 = 8.5027;
+double f3 = 4.5508;
+double f4 = .7519;
+double f5 = 2.004;
+double f6 = .7476;
+double f7 = -.5385;
+double f8 = .0914;
+
+double g1 = 14.8088;
+double g2 = -10.809;
+double g3 = -.874;
+double g4 = .4218;
+double g5 = -2.9347;
+double g6 = .3971;
+double g7 = .1600;
+double g8 = .0225;
+
+
+double c71constmu = ((e1 *_etamu *E1 + f1 + g1 *_etamu) *pow(_etamu,(14./23.))
++ (e2 *_etamu *E1 + f2 + g2 *_etamu) *pow(_etamu,(16./23.))
++ (e3 *_etamu *E1 + f3 + g3 *_etamu) *pow(_etamu,(6./23.))
++ (e4 *_etamu *E1 + f4 + g4 *_etamu) *pow(_etamu,(-12./23.))
++ (e5 *_etamu *E1 + f5 + g5 *_etamu) *pow(_etamu,.4086)
++ (e6 *_etamu *E1 + f6 + g6 *_etamu) *pow(_etamu,(-.423))
++ (e7 *_etamu *E1 + f7 + g7 *_etamu) *pow(_etamu,(-.8994))
++ (e8 *_etamu *E1 + f8 + g8 *_etamu) *pow(_etamu,.1456 ));
+
+double c71pmu = ( ((297664./14283. *pow(_etamu,(16./23.))
+-7164416./357075. *pow(_etamu,(14./23.))
++ 256868./14283. *pow(_etamu,(37./23.)) - 6698884./357075. *pow(_etamu,(39./23.)))
+*(c8mWsm))
++ 37208./4761. *(pow(_etamu,(39./23.)) - pow(_etamu,(16./23.))) *(c7mWsm)
++ c71constmu );
+
+_c71mu = (_alphasmW/_alphasmu *(pow(_etamu,(16./23.))* c7mWsm1 + 8./3. *(pow(_etamu,(14./23.))
+- pow(_etamu,(16./23.)) ) *c8mWsm1 ) + c71pmu);
+
+_c7emmu = ((32./75. *pow(_etamu,(-9./23.)) - 40./69. *pow(_etamu,(-7./23.)) +
+ 88./575. *pow(_etamu,(16./23.))) *c7mWsm + (-32./575. *pow(_etamu,(-9./23.)) +
+ 32./1449. *pow(_etamu,(-7./23.)) + 640./1449.*pow(_etamu,(14./23.)) -
+ 704./1725.*pow(_etamu,(16./23.)) ) *c8mWsm
+ - 190./8073.*pow(_etamu,(-35./23.)) - 359./3105. *pow(_etamu,(-17./23.)) +
+ 4276./121095. *pow(_etamu,(-12./23.)) + 350531./1009125.*pow(_etamu,(-9./23.))
+ + 2./4347. *pow(_etamu,(-7./23.)) - 5956./15525. *pow(_etamu,(6./23.)) +
+ 38380./169533. *pow(_etamu,(14./23.)) - 748./8625. *pow(_etamu,(16./23.)));
+
+// Wilson coefficients values as according to Kagan's program
+// _c2mu=1.10566;
+//_c70mu=-0.314292;
+// _c80mu=-0.148954;
+// _c71mu=0.480964;
+// _c7emmu=0.0323219;
+
+}
+
+void EvtBtoXsgammaKagan::CalcDelta() {
+
+ double cDelta77 = (1. + (_alphasmu/(2.*EvtConst::pi)) *(_r7 - (16./3.) + _gam77*log(_mb/_mu)) + ( (pow((1. - _z),4.)/_fz) - 1.)*(6.*_lam2/pow(_mb,2.)) + (_alphasmubar/(2.*EvtConst::pi))*_kappabar )*pow(_c70mu,2.);
+
+ double cDelta27 = ((_alphasmu/(2.*EvtConst::pi))*(_rer2 + _gam27*log(_mb/_mu)) - (_lam2/(9.*_z*pow(_mb,2.))))*_c2mu*_c70mu;
+
+ double cDelta78 = (_alphasmu/(2.*EvtConst::pi))*(_rer8 + _gam87*log(_mb/_mu))*_c70mu*_c80mu;
+
+ _cDeltatot = cDelta77 + cDelta27 + cDelta78 + (_alphasmu/(2.*EvtConst::pi))*_c71mu*_c70mu + (_alpha/_alphasmu)*(2.*_c7emmu*_c70mu - _kSLemmu*pow(_c70mu,2.));
+
+}
+
+double EvtBtoXsgammaKagan::Delta(double y, double alphasMu) {
+
+ //Fix for singularity at endpoint
+ if (y >= 1.0) y = 0.9999999999;
+
+ return ( - 4.*(alphasMu/(3.*EvtConst::pi*(1. - y)))*(log(1. - y) + 7./4.)*
+ exp(-2.*(alphasMu/(3.*EvtConst::pi))*(pow(log(1. - y),2) + (7./2.)*log(1. - y))));
+
+}
+
+double EvtBtoXsgammaKagan::s77(double y) {
+
+ //Fix for singularity at endpoint
+ if (y >= 1.0) y = 0.9999999999;
+
+ return ((1./3.)*(7. + y - 2.*pow(y,2) - 2.*(1. + y)*log(1. - y)));
+}
+
+double EvtBtoXsgammaKagan::s88(double y, double mb, double ms) {
+
+ //Fix for singularity at endpoint
+ if (y >= 1.0) y = 0.9999999999;
+
+ return ((1./27.)*((2.*(2. - 2.*y + pow(y,2))/y)*(log(1. - y) + 2.*log(mb/ms))
+ - 2.*pow(y,2) - y - 8.*((1. - y)/y)));
+}
+
+double EvtBtoXsgammaKagan::s78(double y) {
+
+ //Fix for singularity at endpoint
+ if (y >= 1.0) y = 0.9999999999;
+
+ return ((8./9.)*(((1. - y)/y)*log(1. - y) + 1. + (pow(y,2)/4.)));
+}
+
+double EvtBtoXsgammaKagan::ReG(double y) {
+
+ if (y < 4.) return -2.*pow(atan(sqrt(y/(4. - y))),2.);
+ else {
+ return 2.*(pow(log((sqrt(y) + sqrt(y - 4.))/2.),2.)) - (1./2.)*pow(EvtConst::pi,2.);
+ }
+
+}
+
+double EvtBtoXsgammaKagan::ImG(double y) {
+
+ if (y < 4.) return 0.0;
+ else {
+ return (-2.*EvtConst::pi*log((sqrt(y) + sqrt(y - 4.))/2.));
+ }
+}
+
+double EvtBtoXsgammaKagan::s22Func(double y, const std::vector<double> &coeffs) {
+
+ //coeffs[0]=z
+ return (1. - y)*((pow(coeffs[0],2.)/pow(y,2.))*(pow(ReG(y/coeffs[0]),2.) + pow(ImG(y/coeffs[0]),2.)) + (coeffs[0]/y)*ReG(y/coeffs[0]) + (1./4.));
+
+}
+
+double EvtBtoXsgammaKagan::s27Func(double y, const std::vector<double> &coeffs) {
+
+ //coeffs[0] = z
+ return (ReG(y/coeffs[0]) + y/(2.*coeffs[0]));
+
+}
+
+double EvtBtoXsgammaKagan::DeltaFermiFunc(double y, const std::vector<double> &coeffs1,
+ const std::vector<double> &coeffs2, const std::vector<double> &coeffs3) {
+
+ //coeffs1=fermi function coeffs, coeffs2[0]=mB, coeffs2[1]=mb,
+ //coeffs2[2]=ymH, coeffs3[0]=DeltaCoeff (alphasmu)
+
+ return FermiFunc(y,coeffs1)*(coeffs2[0]/(coeffs2[1]+y))*
+ Delta((coeffs2[0]*coeffs2[2])/(coeffs2[1]+y),coeffs3[0]);
+
+}
+
+double EvtBtoXsgammaKagan::s77FermiFunc(double y, const std::vector<double> &coeffs1,
+ const std::vector<double> &coeffs2) {
+
+ //coeffs1=fermi function coeffs, coeffs2[0]=mB, coeffs2[1]=mb,
+ //coeffs2[2]=ymH
+ return FermiFunc(y,coeffs1)*(coeffs2[0]/(coeffs2[1]+y))*
+ s77((coeffs2[0]*coeffs2[2])/(coeffs2[1]+y));
+
+}
+
+double EvtBtoXsgammaKagan::s88FermiFunc(double y, const std::vector<double> &coeffs1,
+ const std::vector<double> &coeffs2, const std::vector<double> &coeffs3) {
+
+ //coeffs1=fermi function coeffs, coeffs2[0]=mB, coeffs2[1]=mb,
+ //coeffs2[2]=ymH, coeffs3=s88 coeffs
+ return FermiFunc(y,coeffs1)*(coeffs2[0]/(coeffs2[1]+y))*
+ s88((coeffs2[0]*coeffs2[2])/(coeffs2[1]+y),coeffs3[0], coeffs3[1]);
+
+}
+
+double EvtBtoXsgammaKagan::s78FermiFunc(double y, const std::vector<double> &coeffs1,
+ const std::vector<double> &coeffs2) {
+
+ //coeffs1=fermi function coeffs, coeffs2[0]=mB, coeffs2[1]=mb,
+ //coeffs2[2]=ymH
+ return FermiFunc(y,coeffs1)*(coeffs2[0]/(coeffs2[1]+y))*
+ s78((coeffs2[0]*coeffs2[2])/(coeffs2[1]+y));
+
+}
+
+double EvtBtoXsgammaKagan::sFermiFunc(double y, const std::vector<double> &coeffs1,
+ const std::vector<double> &coeffs2, const std::vector<double> &coeffs3,
+ const std::vector<double> &coeffs4) {
+
+ //coeffs1=fermi function coeffs, coeffs2[0]=mB, coeffs2[1]=mb,
+ //coeffs2[2]=ymH, coeffs3[0]=nIntervals in s22 or s27 array, coeffs3[1]=yMin,
+ //coeffs3[2]=yMax, coeffs4=s22 or s27 array
+ return FermiFunc(y,coeffs1)*(coeffs2[0]/(coeffs2[1]+y))*
+ GetArrayVal(coeffs2[0]*coeffs2[2]/(coeffs2[1]+y), coeffs3[0], coeffs3[1], coeffs3[2], coeffs4);
+
+}
+
+double EvtBtoXsgammaKagan::Fz(double z) {
+
+ return (1. -8.*z + 8.*pow(z,3.) - pow(z,4.) - 12.*pow(z,2.)*log(z));
+}
+
+double EvtBtoXsgammaKagan::GetArrayVal(double xp, double nInterval, double xMin, double xMax, std::vector<double> array) {
+
+ double dx = (xMax - xMin)/nInterval;
+ int bin1 = int(((xp-xMin)/(xMax - xMin))*nInterval);
+
+ double x1 = double(bin1)*dx + xMin;
+
+ if (xp == x1) return array[bin1];
+
+ int bin2(0);
+ if (xp > x1) {
+ bin2 = bin1 + 1;
+ }
+ else if (xp < x1) {
+ bin2 = bin1 - 1;
+ }
+
+ if (bin1 <= 0) {
+ bin1=0;
+ bin2 = 1;
+ }
+
+ //If xp is in the last bin, always interpolate between the last two bins
+ if (bin1 == (int)nInterval){
+ bin2 = (int)nInterval;
+ bin1 = (int)nInterval - 1;
+ x1 = double(bin1)*dx + xMin;
+ }
+
+ double x2 = double(bin2)*dx + xMin;
+ double y1 = array[bin1];
+
+ double y2 = array[bin2];
+ double m = (y2 - y1)/(x2 - x1);
+ double c = y1 - m*x1;
+ double result = m*xp + c;
+
+ return result;
+
+}
+
+double EvtBtoXsgammaKagan::FermiFunc(double y, const std::vector<double> &coeffs) {
+
+ //Fermi shape functions :1=exponential, 2=gaussian, 3=roman
+ if (int(coeffs[0]) == 1) return EvtBtoXsgammaFermiUtil::FermiExpFunc(y, coeffs);
+ if (int(coeffs[0]) == 2) return EvtBtoXsgammaFermiUtil::FermiGaussFunc(y, coeffs);
+ if (int(coeffs[0]) == 3) return EvtBtoXsgammaFermiUtil::FermiRomanFunc(y, coeffs);
+ return 1.;
+
+}
+
+double EvtBtoXsgammaKagan::diLogFunc(double y) {
+
+ return -log(fabs(1. - y))/y;
+
+}
+
+
+double EvtBtoXsgammaKagan::diLogMathematica(double y) {
+
+ double li2(0);
+ for(int i=1; i<1000; i++){ //the value 1000 should actually be Infinite...
+ li2+=pow(y,i)/(i*i);
+ }
+ return li2;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 2001 Brunel University, University of Wisconsin
+//
+// Module: EvtGen/EvtBtoXsgammaKagan.hh
+//
+// Description:
+// Implimentation of the Kagan-Neubert model for non-resonant
+// B->Xs,gamma decays.
+//
+// Modification history:
+//
+// Jane Tinslay, Francesca Di Lodovico March 27, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMAKAGAN_HH
+#define EVTBTOXSGAMMAKAGAN_HH
+
+#include <vector>
+#include "EvtGenModels/EvtBtoXsgammaAbsModel.hh"
+
+class EvtBtoXsgammaKagan : public EvtBtoXsgammaAbsModel {
+
+public:
+
+ EvtBtoXsgammaKagan() {}
+
+ virtual ~EvtBtoXsgammaKagan();
+
+ void init(int, double*);
+
+ void computeHadronicMass(int, double*);
+
+ void getDefaultHadronicMass();
+
+ double GetMass(int code);
+
+ double CalcAlphaS(double);
+
+ void CalcWilsonCoeffs();
+ void CalcDelta();
+ double Fz(double);
+
+private:
+
+ //Input parameters
+ double _mb;
+ double _mB;
+ double _delta;
+ double _nIntervalS;
+ double _nIntervalmH;
+ double _lambdabar;
+ double _lam1;
+ double _mHmin;
+ double _mHmax;
+ //Other parameters
+ double _r7;
+ double _gam77;
+ double _gam27;
+ double _gam87;
+ double _beta0;
+ double _beta1;
+ double _alphasmZ;
+ double _mZ;
+ double _z;
+ double _fz;
+ double _lam2;
+ double _kappabar;
+ double _rer2;
+ double _rer8;
+ double _kSLemmu;
+ double _mW;
+ double _mt;
+ double _ms;
+ double _mu;
+
+ double _c2mu;
+ double _c70mu;
+ double _c80mu;
+ double _c71mu;
+ double _c7emmu;
+
+ double _cDeltatot;
+
+ double _alpha;
+ double _alphasmW;
+ double _alphasmt;
+ double _alphasmu;
+ double _alphasmubar;
+ double _etamu;
+
+ std::vector<double> _mHVect;
+
+ static double ReG(double);
+ static double ImG(double);
+ static double s77(double);
+ static double s88(double, double, double);
+ static double s78(double);
+ static double s22Func(double var, const std::vector<double> &coeffs);
+ static double s27Func(double var, const std::vector<double> &coeffs);
+
+ static double Delta(double, double);
+ static double DeltaFermiFunc(double, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2, const std::vector<double> &coeffs3);
+ static double s77FermiFunc(double, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2);
+ static double s88FermiFunc(double, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2, const std::vector<double> &coeffs3);
+ static double s78FermiFunc(double, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2);
+ static double s22FermiFunc(double, std::vector<double> &coeffs);
+ static double s27FermiFunc(double, std::vector<double> &coeffs);
+ static double s28FermiFunc(double, std::vector<double> &coeffs);
+ static double GetArrayVal(double, double, double, double, std::vector<double>);
+ static double sFermiFunc(double, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2,
+ const std::vector<double> &coeffs3, const std::vector<double> &coeffs4);
+ static double FermiFunc(double, const std::vector<double> &coeffs);
+ static double diLogFunc(double);
+ static double diLogMathematica(double);
+ double *massHad; double *brHad;
+ static double intervalMH;
+ static bool bbprod;
+};
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsgammaRootFinder.cc
+//
+// Description:
+// Root finders for EvtBtoXsgammaKagan module.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenModels/EvtBtoXsgammaRootFinder.hh"
+#include "EvtGenModels/EvtItgTwoCoeffFcn.hh"
+#include "EvtGenModels/EvtItgSimpsonIntegrator.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <math.h>
+using std::endl;
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+//-----------------------------------------------------------------------
+// Local Macros, Typedefs, Structures, Unions and Forward Declarations --
+//-----------------------------------------------------------------------
+
+#define EVTITGROOTFINDER_MAXIT 100
+#define EVTITGROOTFINDER_RELATIVEPRECISION 1.0e-16
+
+
+EvtBtoXsgammaRootFinder::EvtBtoXsgammaRootFinder() {}
+
+EvtBtoXsgammaRootFinder::~EvtBtoXsgammaRootFinder( )
+{}
+
+double
+EvtBtoXsgammaRootFinder::GetRootSingleFunc(const EvtItgAbsFunction* theFunc, double functionValue, double lowerValue, double upperValue, double precision) {
+
+ // Use the bisection to find the root.
+ // Iterates until find root to the accuracy of precision
+
+ double xLower = 0.0, xUpper = 0.0;
+ double root=0;
+
+ double f1 = theFunc->value(lowerValue) - functionValue;
+ double f2 = theFunc->value(upperValue) - functionValue;
+
+ if ( f1*f2 > 0.0 ) {
+ report(WARNING,"EvtGen") << "EvtBtoXsgammaRootFinder: No root in specified range !"<<endl;
+ return 0;
+ }
+
+ // Already have root
+ if (fabs(f1) < precision) {
+ root = lowerValue;
+ return root;
+ }
+ if (fabs(f2) < precision) {
+ root = upperValue;
+ return root;
+ }
+
+ // Orient search so that f(xLower) < 0
+ if (f1 < 0.0) {
+ xLower = lowerValue;
+ xUpper = upperValue;
+ } else {
+ xLower = upperValue;
+ xUpper = lowerValue;
+ }
+
+ double rootGuess = 0.5*(lowerValue + upperValue);
+ double dxold = fabs(upperValue - lowerValue);
+ double dx = dxold;
+
+ double f = theFunc->value(rootGuess) - functionValue;
+
+ for (int j = 0; j< EVTITGROOTFINDER_MAXIT; j++) {
+
+ dxold = dx;
+ dx = 0.5*(xUpper-xLower);
+ rootGuess = xLower+dx;
+
+ // If change in root is negligible, take it as solution.
+ if (fabs(xLower - rootGuess) < precision) {
+ root = rootGuess;
+ return root;
+ }
+
+ f = theFunc->value(rootGuess) - functionValue;
+
+ if (f < 0.0) {
+ xLower = rootGuess;
+ } else {
+ xUpper = rootGuess;
+ }
+
+ }
+
+ report(WARNING,"EvtGen") << "EvtBtoXsgammaRootFinder: Maximum number of iterations "
+ <<"in EvtBtoXsgammaRootFinder::foundRoot exceeded!"
+ <<" Returning false."<<endl;
+ return 0;
+
+}
+
+double
+EvtBtoXsgammaRootFinder::GetGaussIntegFcnRoot(EvtItgAbsFunction *theFunc1, EvtItgAbsFunction *theFunc2, double integ1Precision, double integ2Precision, int maxLoop1, int maxLoop2, double integLower, double integUpper, double lowerValue, double upperValue, double precision) {
+
+ // Use the bisection to find the root.
+ // Iterates until find root to the accuracy of precision
+
+ //Need to work with integrators
+ EvtItgAbsIntegrator *func1Integ = new EvtItgSimpsonIntegrator(*theFunc1, integ1Precision, maxLoop1);
+ EvtItgAbsIntegrator *func2Integ = new EvtItgSimpsonIntegrator(*theFunc2, integ2Precision, maxLoop2);
+
+
+ //coefficient 1 of the integrators is the root to be found
+ //need to set this to lower value to start off with
+ theFunc1->setCoeff(1,0,lowerValue);
+ theFunc2->setCoeff(1,0,lowerValue);
+
+ double f1 = func1Integ->evaluate(integLower,integUpper) - theFunc2->getCoeff(1,2)*func2Integ->evaluate(integLower,integUpper);
+ theFunc1->setCoeff(1,0,upperValue);
+ theFunc2->setCoeff(1,0,upperValue);
+ double f2 = func1Integ->evaluate(integLower,integUpper) - theFunc2->getCoeff(1,2)*func2Integ->evaluate(integLower,integUpper);
+
+ double xLower = 0.0, xUpper = 0.0;
+ double root=0;
+
+ if ( f1*f2 > 0.0 ) {
+ report(WARNING,"EvtGen") << "EvtBtoXsgammaRootFinder: No root in specified range !"<<endl;
+ return false;
+ }
+
+ // Already have root
+ if (fabs(f1) < precision) {
+ root = lowerValue;
+ return root;
+ }
+ if (fabs(f2) < precision) {
+ root = upperValue;
+ return root;
+ }
+
+ // Orient search so that f(xLower) < 0
+ if (f1 < 0.0) {
+ xLower = lowerValue;
+ xUpper = upperValue;
+ } else {
+ xLower = upperValue;
+ xUpper = lowerValue;
+ }
+
+ double rootGuess = 0.5*(lowerValue + upperValue);
+ double dxold = fabs(upperValue - lowerValue);
+ double dx = dxold;
+
+ theFunc1->setCoeff(1,0,rootGuess);
+ theFunc2->setCoeff(1,0,rootGuess);
+ double f = func1Integ->evaluate(integLower,integUpper) - theFunc2->getCoeff(1,2)*func2Integ->evaluate(integLower,integUpper);
+
+ for (int j = 0; j< EVTITGROOTFINDER_MAXIT; j++) {
+
+ dxold = dx;
+ dx = 0.5*(xUpper-xLower);
+ rootGuess = xLower+dx;
+
+ // If change in root is negligible, take it as solution.
+ if (fabs(xLower - rootGuess) < precision) {
+ root = rootGuess;
+ return root;
+ }
+
+ theFunc1->setCoeff(1,0,rootGuess);
+ theFunc2->setCoeff(1,0,rootGuess);
+ f = func1Integ->evaluate(integLower,integUpper) - theFunc2->getCoeff(1,2)*func2Integ->evaluate(integLower,integUpper);
+
+ if (f < 0.0) {
+ xLower = rootGuess;
+ } else {
+ xUpper = rootGuess;
+ }
+
+ }
+
+ report(WARNING,"EvtGen") << "EvtBtoXsgammaRootFinder: Maximum number of iterations "
+ <<"in EvtBtoXsgammaRootFinder::foundRoot exceeded!"
+ <<" Returning false."<<endl;
+ return 0;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Brunel University
+//
+// Module: EvtGen/EvtBtoXsgammaRootFinder.hh
+//
+// Description:
+// Root finding algorithms using the bilear method. Basic structure
+// lifted from the BaBar IntegrationUtils root finding algorithm
+// (author John Back).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSGAMMAROOTFINDER_HH
+#define EVTBTOXSGAMMAROOTFINDER_HH
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+//#include "EvtGenBase/EvtItgAbsFunction.hh"
+class EvtItgAbsFunction;
+
+class EvtBtoXsgammaRootFinder{
+
+public:
+
+ // Constructors
+
+ EvtBtoXsgammaRootFinder();
+
+ // Destructor
+ virtual ~EvtBtoXsgammaRootFinder( );
+
+ double GetRootSingleFunc(const EvtItgAbsFunction* theFunc, double functionValue,
+ double lowerValue, double upperValue, double precision);
+
+ double GetGaussIntegFcnRoot(EvtItgAbsFunction *theFunc1, EvtItgAbsFunction *theFunc2,
+ double integ1Precision, double integ2Precision,
+ int maxLoop1, int maxLoop2, double integLower,
+ double integUpper, double lowerValue, double upperValue,
+ double precision);
+
+private:
+
+ EvtBtoXsgammaRootFinder( const EvtBtoXsgammaRootFinder& ); // Copy Constructor
+ EvtBtoXsgammaRootFinder& operator= ( const EvtBtoXsgammaRootFinder& ); // Assignment op
+
+};
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsll.cc
+//
+// Description: Routine to generate non-resonant B -> Xs l+ l- decays.
+// It generates a dilepton mass spectrum according to Kruger and Sehgal
+// and then generates the two lepton momenta accoring to Ali et al.
+// The resultant X_s particles may be decayed by JETSET.
+//
+// Modification history:
+//
+// Stephane Willocq Jan 17, 2001 Module created
+// Stephane Willocq Jul 15, 2003 Input model parameters
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtbTosllAmp.hh"
+#include "EvtGenModels/EvtBtoXsll.hh"
+#include "EvtGenModels/EvtBtoXsllUtil.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtId.hh"
+using std::endl;
+
+EvtBtoXsll::~EvtBtoXsll() {
+ delete _calcprob;
+}
+
+std::string EvtBtoXsll::getName(){
+
+ return "BTOXSLL";
+
+}
+
+EvtDecayBase* EvtBtoXsll::clone(){
+
+ return new EvtBtoXsll;
+
+}
+
+
+void EvtBtoXsll::init(){
+
+ // check that there are no arguments
+
+ checkNArg(0,4,5);
+
+ checkNDaug(3);
+
+ // Check that the two leptons are the same type
+
+ EvtId lepton1type = getDaug(1);
+ EvtId lepton2type = getDaug(2);
+
+ int etyp = 0;
+ int mutyp = 0;
+ int tautyp = 0;
+ if ( lepton1type == EvtPDL::getId("e+") ||
+ lepton1type == EvtPDL::getId("e-") ) { etyp++;}
+ if ( lepton2type == EvtPDL::getId("e+") ||
+ lepton2type == EvtPDL::getId("e-") ) { etyp++;}
+ if ( lepton1type == EvtPDL::getId("mu+") ||
+ lepton1type == EvtPDL::getId("mu-") ) { mutyp++;}
+ if ( lepton2type == EvtPDL::getId("mu+") ||
+ lepton2type == EvtPDL::getId("mu-") ) { mutyp++;}
+ if ( lepton1type == EvtPDL::getId("tau+") ||
+ lepton1type == EvtPDL::getId("tau-") ) { tautyp++;}
+ if ( lepton2type == EvtPDL::getId("tau+") ||
+ lepton2type == EvtPDL::getId("tau-") ) { tautyp++;}
+
+ if ( etyp != 2 && mutyp != 2 && tautyp != 2 ) {
+
+ report(ERROR,"EvtGen") << "Expect two leptons of the same type in EvtBtoXsll.cc\n";
+ ::abort();
+ }
+
+ // Check that the second and third entries are leptons with positive
+ // and negative charge, respectively
+
+ int lpos = 0;
+ int lneg = 0;
+ if ( lepton1type == EvtPDL::getId("e+") ||
+ lepton1type == EvtPDL::getId("mu+") ||
+ lepton1type == EvtPDL::getId("tau+") ) { lpos++;}
+ if ( lepton2type == EvtPDL::getId("e-") ||
+ lepton2type == EvtPDL::getId("mu-") ||
+ lepton2type == EvtPDL::getId("tau-") ) { lneg++;}
+
+ if ( lpos != 1 || lneg != 1 ) {
+
+ report(ERROR,"EvtGen") << "Expect 2nd and 3rd particles to be positive and negative leptons in EvtBtoXsll.cc\n";
+ ::abort();
+ }
+
+
+ _mb=4.8;
+ _ms=0.2;
+ _mq=0.;
+ _pf=0.41;
+ _mxmin=1.1;
+ if ( getNArg()==4)
+ {
+ // b-quark mass
+ _mb = getArg(0);
+ // s-quark mass
+ _ms = getArg(1);
+ // spectator quark mass
+ _mq = getArg(2);
+ // Fermi motion parameter
+ _pf = getArg(3);
+ }
+ if ( getNArg()==5)
+ {
+ _mxmin = getArg(4);
+ }
+
+ _calcprob = new EvtBtoXsllUtil;
+
+ double ml = EvtPDL::getMeanMass(getDaug(1));
+
+ // determine the maximum probability density from dGdsProb
+
+ int i, j;
+ int nsteps = 100;
+ double s = 0.0;
+ double smin = 4.0 * ml * ml;
+ double smax = (_mb - _ms)*(_mb - _ms);
+ double probMax = -10000.0;
+ double sProbMax = -10.0;
+ double uProbMax = -10.0;
+
+ for (i=0;i<nsteps;i++)
+ {
+ s = smin + (i+0.002)*(smax - smin)/(double)nsteps;
+ double prob = _calcprob->dGdsProb(_mb, _ms, ml, s);
+ if (prob > probMax)
+ {
+ sProbMax = s;
+ probMax = prob;
+ }
+ }
+
+ _dGdsProbMax = probMax;
+
+ if ( verbose() ) {
+ report(INFO,"EvtGen") << "dGdsProbMax = " << probMax << " for s = " << sProbMax << endl;
+ }
+
+ // determine the maximum probability density from dGdsdupProb
+
+ probMax = -10000.0;
+ sProbMax = -10.0;
+
+ for (i=0;i<nsteps;i++)
+ {
+ s = smin + (i+0.002)*(smax - smin)/(double)nsteps;
+ double umax = sqrt((s - (_mb + _ms)*(_mb + _ms)) * (s - (_mb - _ms)*(_mb - _ms)));
+ for (j=0;j<nsteps;j++)
+ {
+ double u = -umax + (j+0.002)*(2.0*umax)/(double)nsteps;
+ double prob = _calcprob->dGdsdupProb(_mb, _ms, ml, s, u);
+ if (prob > probMax)
+ {
+ sProbMax = s;
+ uProbMax = u;
+ probMax = prob;
+ }
+ }
+ }
+
+ _dGdsdupProbMax = 2.0*probMax;
+
+ if ( verbose() ) {
+ report(INFO,"EvtGen") << "dGdsdupProbMax = " << probMax << " for s = " << sProbMax
+ << " and u = " << uProbMax << endl;
+ }
+
+}
+
+void EvtBtoXsll::initProbMax(){
+
+ noProbMax();
+
+}
+
+void EvtBtoXsll::decay( EvtParticle *p ){
+
+ p->makeDaughters(getNDaug(),getDaugs());
+
+ EvtParticle* xhadron = p->getDaug(0);
+ EvtParticle* leptonp = p->getDaug(1);
+ EvtParticle* leptonn = p->getDaug(2);
+
+ double mass[3];
+
+ findMasses( p, getNDaug(), getDaugs(), mass );
+
+ double mB = p->mass();
+ double ml = mass[1];
+ double pb;
+
+ int im = 0;
+ static int nmsg = 0;
+ double xhadronMass = -999.0;
+
+ EvtVector4R p4xhadron;
+ EvtVector4R p4leptonp;
+ EvtVector4R p4leptonn;
+
+ // require the hadronic system has mass greater than that of a Kaon pion pair
+
+ // while (xhadronMass < 0.6333)
+ // the above minimum value of K+pi mass appears to be too close
+ // to threshold as far as JETSET is concerned
+ // (JETSET gets caught in an infinite loop)
+ // so we choose a lightly larger value for the threshold
+ while (xhadronMass < _mxmin)
+ {
+ im++;
+
+ // Apply Fermi motion and determine effective b-quark mass
+
+ // Old BaBar MC parameters
+ // double pf = 0.25;
+ // double ms = 0.2;
+ // double mq = 0.3;
+
+ double mb = 0.0;
+
+ double xbox, ybox;
+
+ while (mb <= 0.0)
+ {
+ pb = _calcprob->FermiMomentum(_pf);
+
+ // effective b-quark mass
+ mb = mB*mB + _mq*_mq - 2.0*mB*sqrt(pb*pb + _mq*_mq);
+ if ( mb>0. && sqrt(mb)-_ms < 2.0*ml ) mb= -10.;
+ }
+ mb = sqrt(mb);
+
+ // cout << "b-quark momentum = " << pb << " mass = " << mb << endl;
+
+ // generate a dilepton invariant mass
+
+ double s = 0.0;
+ double smin = 4.0 * ml * ml;
+ double smax = (mb - _ms)*(mb - _ms);
+
+ while (s == 0.0)
+ {
+ xbox = EvtRandom::Flat(smin, smax);
+ ybox = EvtRandom::Flat(_dGdsProbMax);
+ double prob= _calcprob->dGdsProb(mb, _ms, ml, xbox);
+ if ( !(prob>=0.0) && !(prob<=0.0)) {
+ // report(INFO,"EvtGen") << "nan from dGdsProb " << prob << " " << mb << " " << _ms << " " << ml << " " << xbox << std::endl;
+ }
+ if ( ybox < prob ) s=xbox;
+ }
+
+ // cout << "dGdsProb(s) = " << _calcprob->dGdsProb(mb, _ms, ml, s)
+ // << " for s = " << s << endl;
+
+ // two-body decay of b quark at rest into s quark and dilepton pair:
+ // b -> s (ll)
+
+ EvtVector4R p4sdilep[2];
+
+ double msdilep[2];
+ msdilep[0] = _ms;
+ msdilep[1] = sqrt(s);
+
+ EvtGenKine::PhaseSpace(2, msdilep, p4sdilep, mb);
+
+ // generate dilepton decay with the expected asymmetry: (ll) -> l+ l-
+
+ EvtVector4R p4ll[2];
+
+ double mll[2];
+ mll[0] = ml;
+ mll[1] = ml;
+
+ double tmp = 0.0;
+
+ while (tmp == 0.0)
+ {
+ // (ll) -> l+ l- decay in dilepton rest frame
+
+ EvtGenKine::PhaseSpace(2, mll, p4ll, msdilep[1]);
+
+ // boost to b-quark rest frame
+
+ p4ll[0] = boostTo(p4ll[0], p4sdilep[1]);
+ p4ll[1] = boostTo(p4ll[1], p4sdilep[1]);
+
+ // compute kinematical variable u
+
+ EvtVector4R p4slp = p4sdilep[0] + p4ll[0];
+ EvtVector4R p4sln = p4sdilep[0] + p4ll[1];
+
+ double u = p4slp.mass2() - p4sln.mass2();
+
+ ybox = EvtRandom::Flat(_dGdsdupProbMax);
+
+ double prob = _calcprob->dGdsdupProb(mb, _ms, ml, s, u);
+ if ( !(prob>=0.0) && !(prob<=0.0)) {
+ report(INFO,"EvtGen") << "nan from dGdsProb " << prob << " " << mb << " " << _ms << " " << ml << " " << s << " " << u << std::endl;
+ }
+ if (prob > _dGdsdupProbMax && nmsg < 20)
+ {
+ report(INFO,"EvtGen") << "d2gdsdup GT d2gdsdup_max:" << prob
+ << " " << _dGdsdupProbMax
+ << " for s = " << s << " u = " << u << " mb = " << mb << endl;
+ nmsg++;
+ }
+ if (ybox < prob)
+ {
+ tmp = 1.0;
+ // cout << "dGdsdupProb(s) = " << prob
+ // << " for u = " << u << endl;
+ }
+ }
+
+
+ // assign 4-momenta to valence quarks inside B meson in B rest frame
+
+ double phi = EvtRandom::Flat( EvtConst::twoPi );
+ double costh = EvtRandom::Flat( -1.0, 1.0 );
+ double sinth = sqrt(1.0 - costh*costh);
+
+ // b-quark four-momentum in B meson rest frame
+
+ EvtVector4R p4b(sqrt(mb*mb + pb*pb),
+ pb*sinth*sin(phi),
+ pb*sinth*cos(phi),
+ pb*costh);
+
+ // B meson in its rest frame
+ //
+ // EvtVector4R p4B(mB, 0.0, 0.0, 0.0);
+ //
+ // boost B meson to b-quark rest frame
+ //
+ // p4B = boostTo(p4B, p4b);
+ //
+ // cout << " B meson mass in b-quark rest frame = " << p4B.mass() << endl;
+
+ // boost s, l+ and l- to B meson rest frame
+
+ // EvtVector4R p4s = boostTo(p4sdilep[0], p4B);
+ // p4leptonp = boostTo(p4ll[0], p4B);
+ // p4leptonn = boostTo(p4ll[1], p4B);
+
+ EvtVector4R p4s = boostTo(p4sdilep[0], p4b);
+ p4leptonp = boostTo(p4ll[0], p4b);
+ p4leptonn = boostTo(p4ll[1], p4b);
+
+ // spectator quark in B meson rest frame
+
+ EvtVector4R p4q( sqrt(pb*pb + _mq*_mq), -p4b.get(1), -p4b.get(2), -p4b.get(3) );
+
+ // hadron system in B meson rest frame
+
+ p4xhadron = p4s + p4q;
+ xhadronMass = p4xhadron.mass();
+
+ // cout << "Xs mass = " << xhadronMass << " trial " << im << endl;
+ }
+
+ // initialize the decay products
+
+ xhadron->init(getDaug(0), p4xhadron);
+
+ // For B-bar mesons (i.e. containing a b quark) we have the normal
+ // order of leptons
+ if ( p->getId() == EvtPDL::getId("anti-B0") ||
+ p->getId() == EvtPDL::getId("B-") )
+ {
+ leptonp->init(getDaug(1), p4leptonp);
+ leptonn->init(getDaug(2), p4leptonn);
+ }
+ // For B mesons (i.e. containing a b-bar quark) we need to flip the
+ // role of the positive and negative leptons in order to produce the
+ // correct forward-backward asymmetry between the two leptons
+ else
+ {
+ leptonp->init(getDaug(1), p4leptonn);
+ leptonn->init(getDaug(2), p4leptonp);
+ }
+
+ return ;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+//
+// Module: EvtGen/EvtBtoXsll.hh
+//
+// Description:
+// Class to generate inclusive non-resonant B -> Xs l+ l- decays.
+//
+// Modification history:
+//
+// Stephane Willocq Jan 17, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSLL_HH
+#define EVTBTOXSLL_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtBtoXsllUtil;
+
+class EvtBtoXsll:public EvtDecayIncoherent {
+
+public:
+
+ EvtBtoXsll(): _calcprob(0) {}
+ virtual ~EvtBtoXsll();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+private:
+
+ EvtBtoXsllUtil *_calcprob;
+ double _dGdsProbMax;
+ double _dGdsdupProbMax;
+ double _mb;
+ double _ms;
+ double _mq;
+ double _pf;
+ double _mxmin;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtBtoXsllUtil.cc
+//
+// Description: Routine to generate non-resonant B -> Xs l+ l- decays.
+// It generates a dilepton mass spectrum according to
+// F.Kruger and L.M.Sehgal, Phys. Lett. B380, 199 (1996)
+// and then generates the two lepton momenta according to
+// A.Ali, G.Hiller, L.T.Handoko and T.Morozumi, Phys. Rev. D55, 4105 (1997).
+// Expressions for Wilson coefficients and power corrections are taken
+// from A.Ali, E.Lunghi, C.Greub and G.Hiller, Phys. Rev. D66, 034002 (2002).
+// Detailed formulae for shat dependence of these coefficients are taken
+// from H.H.Asatryan, H.M.Asatrian, C.Greub and M.Walker, PRD65, 074004 (2002)
+// and C.Bobeth, M.Misiak and J.Urban, Nucl. Phys. B574, 291 (2000).
+// The resultant Xs particles may be decayed by JETSET.
+//
+// Modification history:
+//
+// Stephane Willocq Jan 19, 2001 Module created
+// Stephane Willocq Nov 6, 2003 Update Wilson Coeffs & dG's
+// &Jeff Berryhill
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+//
+#include <stdlib.h>
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtBtoXsllUtil.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtDiLog.hh"
+
+EvtComplex EvtBtoXsllUtil::GetC7Eff0(double sh, bool nnlo)
+{
+ // This function returns the zeroth-order alpha_s part of C7
+
+ if (!nnlo) return -0.313;
+
+ double A7;
+
+ // use energy scale of 2.5 GeV as a computational trick (G.Hiller)
+ // at least for shat > 0.25
+ A7 = -0.353 + 0.023;
+
+ EvtComplex c7eff;
+ if (sh > 0.25)
+ {
+ c7eff = A7;
+ return c7eff;
+ }
+
+ // change energy scale to 5.0 for full NNLO calculation below shat = 0.25
+ A7 = -0.312 + 0.008;
+ c7eff = A7;
+
+ return c7eff;
+}
+
+EvtComplex EvtBtoXsllUtil::GetC7Eff1(double sh, double mbeff, bool nnlo)
+{
+ // This function returns the first-order alpha_s part of C7
+
+ if (!nnlo) return 0.0;
+ double logsh;
+ logsh = log(sh);
+
+ EvtComplex uniti(0.0,1.0);
+
+ EvtComplex c7eff = 0.0;
+ if (sh > 0.25)
+ {
+ return c7eff;
+ }
+
+ // change energy scale to 5.0 for full NNLO calculation below shat = 0.25
+ double muscale = 5.0;
+ double alphas = 0.215;
+ //double A7 = -0.312 + 0.008;
+ double A8 = -0.148;
+ //double A9 = 4.174 + (-0.035);
+ //double A10 = -4.592 + 0.379;
+ double C1 = -0.487;
+ double C2 = 1.024;
+ //double T9 = 0.374 + 0.252;
+ //double U9 = 0.033 + 0.015;
+ //double W9 = 0.032 + 0.012;
+ double Lmu = log(muscale/mbeff);
+
+ EvtComplex F71;
+ EvtComplex f71;
+ EvtComplex k7100(-0.68192,-0.074998);
+ EvtComplex k7101(0.0,0.0);
+ EvtComplex k7110(-0.23935,-0.12289);
+ EvtComplex k7111(0.0027424,0.019676);
+ EvtComplex k7120(-0.0018555,-0.175);
+ EvtComplex k7121(0.022864,0.011456);
+ EvtComplex k7130(0.28248,-0.12783);
+ EvtComplex k7131(0.029027,-0.0082265);
+ f71 = k7100 + k7101*logsh + sh*(k7110 + k7111*logsh) +
+ sh*sh*(k7120 + k7121*logsh) +
+ sh*sh*sh*(k7130 + k7131*logsh);
+ F71 = (-208.0/243.0)*Lmu + f71;
+
+ EvtComplex F72;
+ EvtComplex f72;
+ EvtComplex k7200(4.0915,0.44999);
+ EvtComplex k7201(0.0,0.0);
+ EvtComplex k7210(1.4361,0.73732);
+ EvtComplex k7211(-0.016454,-0.11806);
+ EvtComplex k7220(0.011133,1.05);
+ EvtComplex k7221(-0.13718,-0.068733);
+ EvtComplex k7230(-1.6949,0.76698);
+ EvtComplex k7231(-0.17416,0.049359);
+ f72 = k7200 + k7201*logsh + sh*(k7210 + k7211*logsh) +
+ sh*sh*(k7220 + k7221*logsh) +
+ sh*sh*sh*(k7230 + k7231*logsh);
+ F72 = (416.0/81.0)*Lmu + f72;
+
+ EvtComplex F78;
+ F78 = (-32.0/9.0)*Lmu + 8.0*EvtConst::pi*EvtConst::pi/27.0 + (-44.0/9.0)
+ + (-8.0*EvtConst::pi/9.0)*uniti +
+ (4.0/3.0*EvtConst::pi*EvtConst::pi - 40.0/3.0)*sh +
+ (32.0*EvtConst::pi*EvtConst::pi/9.0 - 316.0/9.0)*sh*sh +
+ (200.0*EvtConst::pi*EvtConst::pi/27.0 - 658.0/9.0)*sh*sh*sh +
+ (-8.0*logsh/9.0)*(sh + sh*sh + sh*sh*sh);
+
+ c7eff = - alphas/(4.0*EvtConst::pi)*(C1*F71 + C2*F72 + A8*F78);
+
+ return c7eff;
+}
+
+
+EvtComplex EvtBtoXsllUtil::GetC9Eff0(double sh, double mbeff,
+ bool nnlo, bool btod)
+{
+ // This function returns the zeroth-order alpha_s part of C9
+
+ if (!nnlo) return 4.344;
+ double logsh;
+ logsh = log(sh);
+ double mch = 0.29;
+
+
+ double muscale;
+ muscale = 2.5;
+ double alphas;
+ alphas = 0.267;
+ double A8;
+ A8 = -0.164;
+ double A9;
+ A9 = 4.287 + (-0.218);
+ double A10;
+ A10 = -4.592 + 0.379;
+ double C1;
+ C1 = -0.697;
+ double C2;
+ C2 = 1.046;
+ double T9;
+ T9 = 0.114 + 0.280;
+ double U9;
+ U9 = 0.045 + 0.023;
+ double W9;
+ W9 = 0.044 + 0.016;
+
+ double Lmu;
+ Lmu = log(muscale/mbeff);
+
+
+ EvtComplex uniti(0.0,1.0);
+
+ EvtComplex hc;
+ double xarg;
+ xarg = 4.0*mch/sh;
+
+ hc = -4.0/9.0*log(mch*mch) + 8.0/27.0 + 4.0*xarg/9.0;
+ if (xarg < 1.0)
+ {
+ hc = hc - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ (log((sqrt(1.0 - xarg)+1.0)/(sqrt(1.0 - xarg) - 1.0)) -
+ uniti*EvtConst::pi);
+ }
+ else
+ {
+ hc = hc - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ 2.0*atan(1.0/sqrt(xarg-1.0));
+ }
+
+ EvtComplex h1;
+ xarg = 4.0/sh;
+ h1 = 8.0/27.0 + 4.0*xarg/9.0;
+ if (xarg < 1.0)
+ {
+ h1 = h1 - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ (log((sqrt(1.0 - xarg)+1.0)/(sqrt(1.0 - xarg) - 1.0)) -
+ uniti*EvtConst::pi);
+ }
+ else
+ {
+ h1 = h1 - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ 2.0*atan(1.0/sqrt(xarg-1.0));
+ }
+
+ EvtComplex h0;
+ h0 = 8.0/27.0 - 4.0*log(2.0)/9.0 + 4.0*uniti*EvtConst::pi/9.0;
+
+
+ // X=V_{ud}^* V_ub / V_{td}^* V_tb * (4/3 C_1 +C_2) * (h(\hat m_c^2, hat s)-
+ // h(\hat m_u^2, hat s))
+ EvtComplex Vudstar(1.0 - 0.2279*0.2279/2.0, 0.0);
+ EvtComplex Vub((0.118+0.273)/2.0, -1.0*(0.305+0.393)/2.0);
+ EvtComplex Vtdstar(1.0 - (0.118+0.273)/2.0,(0.305+0.393)/2.0);
+ EvtComplex Vtb(1.0,0.0);
+
+ EvtComplex Xd;
+ Xd = (Vudstar * Vub / Vtdstar * Vtb) * (4.0/3.0*C1 + C2) * (hc - h0);
+
+ EvtComplex c9eff = 4.344;
+ if (sh > 0.25)
+ {
+ c9eff = A9 + T9*hc + U9*h1 + W9*h0;
+ if (btod)
+ {
+ c9eff += Xd;
+ }
+ return c9eff;
+ }
+
+ // change energy scale to 5.0 for full NNLO calculation below shat = 0.25
+ muscale = 5.0;
+ alphas = 0.215;
+ A9 = 4.174 + (-0.035);
+ C1 = -0.487;
+ C2 = 1.024;
+ A8 = -0.148;
+ T9 = 0.374 + 0.252;
+ U9 = 0.033 + 0.015;
+ W9 = 0.032 + 0.012;
+ Lmu = log(muscale/mbeff);
+
+ Xd = (Vudstar * Vub / Vtdstar * Vtb) * (4.0/3.0*C1 + C2) * (hc - h0);
+
+ c9eff = A9 + T9*hc + U9*h1 + W9*h0;
+
+ if (btod)
+ {
+ c9eff += Xd;
+ }
+
+ return c9eff;
+}
+
+EvtComplex EvtBtoXsllUtil::GetC9Eff1(double sh, double mbeff,
+ bool nnlo, bool /*btod*/)
+{
+ // This function returns the first-order alpha_s part of C9
+
+ if (!nnlo) return 0.0;
+ double logsh;
+ logsh = log(sh);
+ double mch = 0.29;
+
+ EvtComplex uniti(0.0,1.0);
+
+ EvtComplex c9eff = 0.0;
+ if (sh > 0.25)
+ {
+ return c9eff;
+ }
+
+ // change energy scale to 5.0 for full NNLO calculation below shat = 0.25
+ double muscale = 5.0;
+ double alphas = 0.215;
+ double C1 = -0.487;
+ double C2 = 1.024;
+ double A8 = -0.148;
+ double Lmu = log(muscale/mbeff);
+
+ EvtComplex F91;
+ EvtComplex f91;
+ EvtComplex k9100(-11.973,0.16371);
+ EvtComplex k9101(-0.081271,-0.059691);
+ EvtComplex k9110(-28.432,-0.25044);
+ EvtComplex k9111(-0.040243,0.016442);
+ EvtComplex k9120(-57.114,-0.86486);
+ EvtComplex k9121(-0.035191,0.027909);
+ EvtComplex k9130(-128.8,-2.5243);
+ EvtComplex k9131(-0.017587,0.050639);
+ f91 = k9100 + k9101*logsh + sh*(k9110 + k9111*logsh) +
+ sh*sh*(k9120 + k9121*logsh) +
+ sh*sh*sh*(k9130 + k9131*logsh);
+ F91 = (-1424.0/729.0 + 16.0*uniti*EvtConst::pi/243.0
+ + 64.0/27.0*log(mch))*Lmu - 16.0*Lmu*logsh/243.0 +
+ (16.0/1215.0 - 32.0/135.0/mch/mch)*Lmu*sh +
+ (4.0/2835.0 - 8.0/315.0/mch/mch/mch/mch)*Lmu*sh*sh +
+ (16.0/76545.0 - 32.0/8505.0/mch/mch/mch/mch/mch/mch)*
+ Lmu*sh*sh*sh -256.0*Lmu*Lmu/243.0 + f91;
+
+ EvtComplex F92;
+ EvtComplex f92;
+ EvtComplex k9200(6.6338,-0.98225);
+ EvtComplex k9201(0.48763,0.35815);
+ EvtComplex k9210(3.3585,1.5026);
+ EvtComplex k9211(0.24146,-0.098649);
+ EvtComplex k9220(-1.1906,5.1892);
+ EvtComplex k9221(0.21115,-0.16745);
+ EvtComplex k9230(-17.12,15.146);
+ EvtComplex k9231(0.10552,-0.30383);
+ f92 = k9200 + k9201*logsh + sh*(k9210 + k9211*logsh) +
+ sh*sh*(k9220 + k9221*logsh) +
+ sh*sh*sh*(k9230 + k9231*logsh);
+ F92 = (256.0/243.0 - 32.0*uniti*EvtConst::pi/81.0
+ - 128.0/9.0*log(mch))*Lmu + 32.0*Lmu*logsh/81.0 +
+ (-32.0/405.0 + 64.0/45.0/mch/mch)*Lmu*sh +
+ (-8.0/945.0 + 16.0/105.0/mch/mch/mch/mch)*Lmu*sh*sh +
+ (-32.0/25515.0 + 64.0/2835.0/mch/mch/mch/mch/mch/mch)*
+ Lmu*sh*sh*sh + 512.0*Lmu*Lmu/81.0 + f92;
+
+ EvtComplex F98;
+ F98 = 104.0/9.0 - 32.0*EvtConst::pi*EvtConst::pi/27.0 +
+ (1184.0/27.0 - 40.0*EvtConst::pi*EvtConst::pi/9.0)*sh +
+ (14212.0/135.0 - 32.0*EvtConst::pi*EvtConst::pi/3.0)*sh*sh +
+ (193444.0/945.0 - 560.0*EvtConst::pi*EvtConst::pi/27.0)*sh*sh*sh +
+ 16.0*logsh/9.0*(1.0 + sh + sh*sh + sh*sh*sh);
+
+ c9eff = - alphas/(4.0*EvtConst::pi)*(C1*F91 + C2*F92 + A8*F98);
+
+ return c9eff;
+}
+
+EvtComplex EvtBtoXsllUtil::GetC10Eff(double /*sh*/, bool nnlo)
+{
+
+ if (!nnlo) return -4.669;
+ double A10;
+ A10 = -4.592 + 0.379;
+
+ EvtComplex c10eff;
+ c10eff = A10;
+
+ return c10eff;
+}
+
+double EvtBtoXsllUtil::dGdsProb(double mb, double ms, double ml,
+ double s)
+{
+ // Compute the decay probability density function given a value of s
+ // according to Ali-Lunghi-Greub-Hiller's 2002 paper
+ // Note that the form given below is taken from
+ // F.Kruger and L.M.Sehgal, Phys. Lett. B380, 199 (1996)
+ // but the differential rate as a function of dilepton mass
+ // in this latter paper reduces to Eq.(12) in ALGH's 2002 paper
+ // for ml = 0 and ms = 0.
+
+ bool btod = false;
+ bool nnlo = true;
+
+ double delta, lambda, prob;
+ double f1, f2, f3, f4;
+ double msh, mlh, sh;
+ double mbeff = 4.8;
+
+ mlh = ml / mb;
+ msh = ms / mb;
+ // set lepton and strange-quark masses to 0 if need to
+ // be in strict agreement with ALGH 2002 paper
+ // mlh = 0.0; msh = 0.0;
+ // sh = s / (mb*mb);
+ sh = s / (mbeff*mbeff);
+
+ // if sh >1.0 code will return a nan. so just skip it
+ if ( sh > 1.0 ) return 0.0;
+
+
+ EvtComplex c7eff0 = EvtBtoXsllUtil::GetC7Eff0(sh,nnlo);
+ EvtComplex c7eff1 = EvtBtoXsllUtil::GetC7Eff1(sh,mbeff,nnlo);
+ EvtComplex c9eff0 = EvtBtoXsllUtil::GetC9Eff0(sh,mbeff,nnlo,btod);
+ EvtComplex c9eff1 = EvtBtoXsllUtil::GetC9Eff1(sh,mbeff,nnlo,btod);
+ EvtComplex c10eff = EvtBtoXsllUtil::GetC10Eff(sh,nnlo);
+
+ double alphas = 0.119/
+ (1 + 0.119*log(pow(4.8,2)/pow(91.1867,2))*23.0/12.0/EvtConst::pi);
+
+ double omega7 = -8.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -log(1-sh)*(8.0+sh)/(2.0+sh)/3.0
+ -2.0/3.0*sh*(2.0 - 2.0*sh - sh*sh)*log(sh)/pow((1.0 - sh),2)/(2.0 + sh)
+ -(16.0 - 11.0*sh - 17.0*sh*sh)/18.0/(2.0 + sh)/(1.0 - sh);
+ double eta7 = 1.0 + alphas*omega7/EvtConst::pi;
+
+ double omega79 = -4.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -1.0/9.0*(2.0+7.0*sh)*log(1.0 - sh)/sh
+ -2.0/9.0*sh*(3.0 - 2.0*sh)*log(sh)/pow((1.0 - sh),2)
+ +1.0/18.0*(5.0 - 9.0*sh)/(1.0 - sh);
+ double eta79 = 1.0 + alphas*omega79/EvtConst::pi;
+
+ double omega9 = -2.0/9.0*EvtConst::pi*EvtConst::pi - 4.0/3.0*EvtDiLog::DiLog(sh)
+ - 2.0/3.0*log(sh)*log(1.0-sh)
+ - (5.0+4.0*sh)/(3.0*(1.0+2.0*sh)) * log(1.0-sh)
+ - 2.0*sh*(1.0+sh)*(1.0-2.0*sh)
+ /(3.0*pow(1.0-sh,2)*(1.0+2.0*sh)) * log(sh)
+ + (5.0+9.0*sh-6.0*sh*sh)/(6.0*(1.0-sh)*(1.0+2.0*sh));
+ double eta9 = 1.0 + alphas*omega9/EvtConst::pi;
+
+ EvtComplex c7eff = eta7*c7eff0 + c7eff1;
+ EvtComplex c9eff = eta9*c9eff0 + c9eff1;
+ c10eff *= eta9;
+
+ double c7c7 = abs2(c7eff);
+ double c7c9 = real((eta79*c7eff0 + c7eff1)*conj(eta79*c9eff0 + c9eff1));
+ double c9c9plusc10c10 = abs2(c9eff) + abs2(c10eff);
+ double c9c9minusc10c10 = abs2(c9eff) - abs2(c10eff);
+
+ // Power corrections according to ALGH 2002
+ double lambda_1 = -0.2;
+ double lambda_2 = 0.12;
+ double C1 = -0.487;
+ double C2 = 1.024;
+ double mc = 0.29 * mb;
+
+ EvtComplex F;
+ double r = s / (4.0 * mc * mc);
+ EvtComplex uniti(0.0,1.0);
+ F = 3.0 / (2.0 * r);
+ if (r < 1)
+ {
+ F *= 1.0/sqrt(r*(1.0-r))*atan(sqrt(r/(1.0-r)))-1.0;
+ }
+ else
+ {
+ F *= 0.5/sqrt(r*(r-1.0))*(log((1.0-sqrt(1.0-1.0/r))/(1.0+sqrt(1.0-1.0/r)))
+ +uniti*EvtConst::pi)-1.0;
+ }
+
+ double G1 = 1.0 + lambda_1 / (2.0 * mb * mb)
+ + 3.0 * (1.0 - 15.0*sh*sh + 10.0*sh*sh*sh)
+ / ((1.0 - sh)*(1.0 -sh)*(1.0 + 2.0*sh))
+ * lambda_2 / (2.0*mb*mb);
+ double G2 = 1.0 + lambda_1 / (2.0 * mb * mb)
+ - 3.0 * (6.0 + 3.0*sh - 5.0*sh*sh*sh)
+ / ((1.0 - sh)*(1.0 -sh)*(2.0 + sh))
+ * lambda_2 / (2.0*mb*mb);
+ double G3 = 1.0 + lambda_1 / (2.0 * mb * mb)
+ - (5.0 + 6.0*sh - 7.0*sh*sh)
+ / ((1.0 - sh)*(1.0 -sh))
+ * lambda_2 / (2.0*mb*mb);
+ double Gc = -8.0/9.0 * (C2 - C1/6.0) * lambda_2/(mc*mc)
+ * real(F*(conj(c9eff)*(2.0+sh)+conj(c7eff)*(1.0 + 6.0*sh - sh*sh)/sh));
+
+ // end of power corrections section
+ // now back to Kruger & Sehgal expressions
+
+ double msh2=msh*msh;
+ lambda = 1.0 + sh*sh + msh2*msh2 - 2.0*(sh + sh*msh2 + msh2);
+ // negative lambda screw up sqrt below!
+ if ( lambda < 0.0 ) return 0.0;
+
+ f1 = pow(1.0-msh2,2) - sh*(1.0 + msh2);
+ f2 = 2.0*(1.0 + msh2) * pow(1.0-msh2,2)
+ - sh*(1.0 + 14.0*msh2 + pow(msh,4)) - sh*sh*(1.0 + msh2);
+ f3 = pow(1.0-msh2,2) + sh*(1.0 + msh2) - 2.0*sh*sh
+ + lambda*2.0*mlh*mlh/sh;
+ f4 = 1.0 - sh + msh2;
+
+ delta = ( 12.0*c7c9*f1*G3 + 4.0*c7c7*f2*G2/sh ) * (1.0 + 2.0*mlh*mlh/sh)
+ + c9c9plusc10c10*f3*G1
+ + 6.0*mlh*mlh*c9c9minusc10c10*f4
+ + Gc;
+
+ // avoid negative probs
+ if ( delta < 0.0 ) delta=0.;
+ // negative when sh < 4*mlh*mlh
+ // s < 4*ml*ml
+ /// prob = sqrt(lambda*(1.0 - 4.0*mlh*mlh/sh)) * delta;
+ prob = sqrt(lambda*(1.0 - 4.0*ml*ml/s)) * delta;
+
+ // if ( !(prob>=0.0) && !(prob<=0.0) ) {
+ //nan
+ // std::cout << lambda << " " << mlh << " " << sh << " " << delta << " " << mb << " " << mbeff << std::endl;
+ // std::cout << 4.0*mlh*mlh/sh << " " << 4.0*ml*ml/s << " " << s-4.0*ml*ml << " " << ml << std::endl;
+ // std::cout << sh << " " << sh*sh << " " << msh2*msh2 << " " << msh << std::endl;
+ //std::cout << ( 12.0*c7c9*f1*G3 + 4.0*c7c7*f2*G2/sh ) * (1.0 + 2.0*mlh*mlh/sh)
+ // <<" " << c9c9plusc10c10*f3*G1
+ // << " "<< 6.0*mlh*mlh*c9c9minusc10c10*f4
+ // << " "<< Gc << std::endl;
+ //std::cout << C2 << " " << C1 << " "<< lambda_2 << " " << mc << " " << real(F*(conj(c9eff)*(2.0+sh)+conj(c7eff)*(1.0 + 6.0*sh - sh*sh)/sh)) << " " << sh << " " << r << std::endl;
+ //std::cout << c9eff << " " << eta9 << " " <<c9eff0 << " " << c9eff1 << " " << alphas << " " << omega9 << " " << sh << std::endl;
+
+ //}
+// else{
+// if ( sh > 1.0) std::cout << "not a nan \n";
+// }
+ return prob;
+}
+
+double EvtBtoXsllUtil::dGdsdupProb(double mb, double ms, double ml,
+ double s, double u)
+{
+ // Compute the decay probability density function given a value of s and u
+ // according to Ali-Hiller-Handoko-Morozumi's 1997 paper
+ // see Appendix E
+
+ bool btod = false;
+ bool nnlo = true;
+
+ double prob;
+ double f1sp, f2sp, f3sp;
+ double mbeff = 4.8;
+
+ // double sh = s / (mb*mb);
+ double sh = s / (mbeff*mbeff);
+
+ // if sh >1.0 code will return a nan. so just skip it
+ if ( sh > 1.0 ) return 0.0;
+
+ EvtComplex c7eff0 = EvtBtoXsllUtil::GetC7Eff0(sh,nnlo);
+ EvtComplex c7eff1 = EvtBtoXsllUtil::GetC7Eff1(sh,mbeff,nnlo);
+ EvtComplex c9eff0 = EvtBtoXsllUtil::GetC9Eff0(sh,mbeff,nnlo,btod);
+ EvtComplex c9eff1 = EvtBtoXsllUtil::GetC9Eff1(sh,mbeff,nnlo,btod);
+ EvtComplex c10eff = EvtBtoXsllUtil::GetC10Eff(sh,nnlo);
+
+ double alphas = 0.119/
+ (1 + 0.119*log(pow(4.8,2)/pow(91.1867,2))*23.0/12.0/EvtConst::pi);
+
+ double omega7 = -8.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -log(1-sh)*(8.0+sh)/(2.0+sh)/3.0
+ -2.0/3.0*sh*(2.0 - 2.0*sh - sh*sh)*log(sh)/pow((1.0 - sh),2)/(2.0 + sh)
+ -(16.0 - 11.0*sh - 17.0*sh*sh)/18.0/(2.0 + sh)/(1.0 - sh);
+ double eta7 = 1.0 + alphas*omega7/EvtConst::pi;
+
+ double omega79 = -4.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -1.0/9.0*(2.0+7.0*sh)*log(1.0 - sh)/sh
+ -2.0/9.0*sh*(3.0 - 2.0*sh)*log(sh)/pow((1.0 - sh),2)
+ +1.0/18.0*(5.0 - 9.0*sh)/(1.0 - sh);
+ double eta79 = 1.0 + alphas*omega79/EvtConst::pi;
+
+ double omega9 = - 2.0/9.0*EvtConst::pi*EvtConst::pi - 4.0/3.0*EvtDiLog::DiLog(sh)
+ - 2.0/3.0*log(sh)*log(1.0-sh)
+ - (5.0+4.0*sh)/(3.0*(1.0+2.0*sh)) * log(1.0-sh)
+ - 2.0*sh*(1.0+sh)*(1.0-2.0*sh)
+ /(3.0*pow(1.0-sh,2)*(1.0+2.0*sh)) * log(sh)
+ + (5.0+9.0*sh-6.0*sh*sh)/(6.0*(1.0-sh)*(1.0+2.0*sh));
+ double eta9 = 1.0 + alphas*omega9/EvtConst::pi;
+
+ EvtComplex c7eff = eta7*c7eff0 + c7eff1;
+ EvtComplex c9eff = eta9*c9eff0 + c9eff1;
+ c10eff *= eta9;
+
+ double c7c7 = abs2(c7eff);
+ double c7c9 = real((eta79*c7eff0 + c7eff1)*conj(eta79*c9eff0 + c9eff1));
+ double c7c10 = real((eta79*c7eff0 + c7eff1)*conj(eta9*c10eff));
+ double c9c10 = real((eta9*c9eff0 + c9eff1)*conj(eta9*c10eff));
+ double c9c9plusc10c10 = abs2(c9eff) + abs2(c10eff);
+
+ f1sp = ( pow(mb*mb-ms*ms,2) - s*s) * c9c9plusc10c10
+ + 4.0*( pow(mb,4) - ms*ms*mb*mb - pow(ms,4)*(1.0 - ms*ms/(mb*mb))
+ - 8.0*s*ms*ms - s*s*(1.0 + ms*ms/(mb*mb) ))*mb*mb*c7c7/s
+ // kludged mass term
+ *(1.0 + 2.0*ml*ml/s)
+ - 8.0*(s*(mb*mb + ms*ms) - pow(mb*mb-ms*ms,2)) * c7c9
+ // kludged mass term
+ *(1.0 + 2.0*ml*ml/s);
+
+ f2sp = 4.0*s*c9c10 + 8.0*(mb*mb + ms*ms)*c7c10;
+ f3sp = - (c9c9plusc10c10)
+ + 4.0*(1.0 + pow(ms/mb,4)) * mb*mb*c7c7/s
+ // kludged mass term
+ *(1.0 + 2.0*ml*ml/s);
+
+ prob = (f1sp + f2sp*u + f3sp*u*u)/ pow(mb,3);
+ if ( prob < 0.0 ) prob=0.;
+
+ return prob;
+}
+
+double EvtBtoXsllUtil::FermiMomentum(double pf)
+{
+ // Pick a value for the b-quark Fermi motion momentum
+ // according to Ali's Gaussian model
+
+ double pb, pbmax, xbox, ybox;
+ pb = 0.0;
+ pbmax = 5.0 * pf;
+
+ while (pb == 0.0)
+ {
+ xbox = EvtRandom::Flat(pbmax);
+ ybox = EvtRandom::Flat();
+ if (ybox < FermiMomentumProb(xbox, pf)) { pb = xbox;}
+ }
+
+ return pb;
+}
+
+double EvtBtoXsllUtil::FermiMomentumProb(double pb, double pf)
+{
+ // Compute probability according to Ali's Gaussian model
+ // the function chosen has a convenient maximum value of 1 for pb = pf
+
+ double prsq = (pb*pb)/(pf*pf);
+ double prob = prsq * exp(1.0 - prsq);
+
+ return prob;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+//
+// Module: EvtGen/EvtBtoXsllUtil.hh
+//
+// Description:
+// Class to generate inclusive non-resonant B -> Xs l+ l- decays.
+//
+// Modification history:
+//
+// Stephane Willocq Jan 19, 2001 Module created
+// Stephane Willocq Nov 6, 2003 Update Wilson Coeffs
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOXSLLUTIL_HH
+#define EVTBTOXSLLUTIL_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtComplex;
+
+class EvtBtoXsllUtil{
+
+public:
+
+ EvtComplex GetC7Eff0(double sh, bool nnlo=true);
+ EvtComplex GetC7Eff1(double sh, double mb, bool nnlo=true);
+ EvtComplex GetC9Eff0(double sh, double mb, bool nnlo=true, bool btod=false);
+ EvtComplex GetC9Eff1(double sh, double mb, bool nnlo=true, bool btod=false);
+ EvtComplex GetC10Eff(double sh, bool nnlo=true);
+
+ double dGdsProb(double mb, double ms, double ml,
+ double s);
+
+ double dGdsdupProb(double mb, double ms, double ml,
+ double s, double u);
+
+ double FermiMomentum( double pf );
+
+ double FermiMomentumProb( double pb, double pf );
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtCBTo3piMPP.cc
+//
+// Description: Routine to decay B+/-->pi+ pi- pi+/-
+// and has CP violation.
+//
+// Modification history:
+//
+// RYD/Versille May 6, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenModels/EvtCBTo3piMPP.hh"
+#include <string>
+
+//Below you will have do modify the declaration to be appropriate
+//for your new routine for the calculation of the amplitude
+
+#ifdef WIN32
+extern "C" void __stdcall EVT3PIONSMPP(double *,int *,double *,
+ double *,double *,double *,
+ double *,double *,double *);
+#else
+extern "C" void evt3pionsmpp_(double *,int *,double *,
+ double *,double *,double *,
+ double *,double *,double *);
+#endif
+
+EvtCBTo3piMPP::~EvtCBTo3piMPP() {}
+
+std::string EvtCBTo3piMPP::getName(){
+
+ return "CB3PI-MPP";
+
+}
+
+
+EvtDecayBase* EvtCBTo3piMPP::clone(){
+
+ return new EvtCBTo3piMPP;
+
+}
+
+void EvtCBTo3piMPP::init(){
+
+ // check that there are 1 argument
+ checkNArg(1);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+
+}
+
+void EvtCBTo3piMPP::initProbMax(){
+
+ setProbMax(1.5);
+
+}
+
+void EvtCBTo3piMPP::decay( EvtParticle *p ){
+
+ //added by Lange Jan4,2000
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId BP=EvtPDL::getId("B+");
+
+ EvtParticle *pi1,*pi2,*pi3;
+
+ p->makeDaughters(getNDaug(),getDaugs());
+ pi1=p->getDaug(0);
+ pi2=p->getDaug(1);
+ pi3=p->getDaug(2);
+
+ EvtVector4R p4[3];
+ double alpha = getArg(0);
+
+ int iset;
+
+ static int first=1;
+
+ if (first==1) {
+ iset=10000;
+ first=0;
+ }
+ else{
+ iset=0;
+ }
+
+ double p4pi1[4],p4pi2[4],p4pi3[4];
+
+ double realA,imgA,realbarA,imgbarA;
+
+#ifdef WIN32
+ EVT3PIONSMPP(&alpha,&iset,p4pi1,p4pi2,p4pi3,
+ &realA,&imgA,&realbarA,&imgbarA);
+#else
+ evt3pionsmpp_(&alpha,&iset,p4pi1,p4pi2,p4pi3,
+ &realA,&imgA,&realbarA,&imgbarA);
+#endif
+
+ p4[0].set(p4pi1[3],p4pi1[0],p4pi1[1],p4pi1[2]);
+ p4[1].set(p4pi2[3],p4pi2[0],p4pi2[1],p4pi2[2]);
+ p4[2].set(p4pi3[3],p4pi3[0],p4pi3[1],p4pi3[2]);
+
+ pi1->init( getDaug(0), p4[0] );
+ pi2->init( getDaug(1), p4[1] );
+ pi3->init( getDaug(2), p4[2] );
+
+ EvtComplex A(realA,imgA);
+ EvtComplex Abar(realbarA, imgbarA);
+
+ //amp is filled just to make sure the compiler will
+ //do its job!! but one has to define amp differently
+ // if one wants the B+ or the B- to decay to 3pi!
+ //
+
+
+ EvtComplex amp;
+ if(p->getId()==BP)
+ {
+ amp = A;
+ }
+ if(p->getId()==BM)
+ {
+ amp = Abar;
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtCBTo3piMPP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTCBTO3PIMPP_HH
+#define EVTCBTO3PIMPP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtCBTo3piMPP:public EvtDecayAmp {
+
+public:
+
+ EvtCBTo3piMPP() {}
+ virtual ~EvtCBTo3piMPP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtCBTo3piP00.cc
+//
+// Description: Routine to decay B+/-->pi0 pi0 pi+/-
+// and has CP violation.
+//
+// Modification history:
+//
+// RYD,Versille May 6, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtCBTo3piP00.hh"
+#include <string>
+
+//Below you will have do modify the declaration to be appropriate
+//for your new routine for the calculation of the amplitude
+
+#ifdef WIN32
+extern "C" {
+ extern void EVT3PIONSP00(double *,int *,
+ double *,
+ double *,double *,
+ double *,double *,
+ double *,double *,double *,double *);
+}
+#else
+extern "C" {
+ extern void evt3pionsp00_(double *,int *,
+ double *,
+ double *,double *,
+ double *,double *,
+ double *,double *,double *,double *);
+}
+#endif
+
+EvtCBTo3piP00::~EvtCBTo3piP00() {}
+
+std::string EvtCBTo3piP00::getName(){
+
+ return "CB3PI-P00";
+
+}
+
+
+EvtDecayBase* EvtCBTo3piP00::clone(){
+
+ return new EvtCBTo3piP00;
+
+}
+
+void EvtCBTo3piP00::init(){
+
+ // check that there are 1 argument
+ checkNArg(1);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+
+}
+
+
+
+void EvtCBTo3piP00::initProbMax(){
+
+
+ setProbMax(1.5);
+
+}
+
+
+void EvtCBTo3piP00::decay( EvtParticle *p ){
+
+ //added by Lange Jan4,2000
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId BP=EvtPDL::getId("B+");
+
+ EvtParticle *pi1,*pi2,*pi3;
+
+ p->makeDaughters(getNDaug(),getDaugs());
+ pi1=p->getDaug(0);
+ pi2=p->getDaug(1);
+ pi3=p->getDaug(2);
+
+ EvtVector4R p4[3];
+ double alpha = getArg(0);
+ int iset;
+ static int first=1;
+
+ if (first==1) {
+ iset=10000;
+ first=0;
+ }
+ else{
+ iset=0;
+ }
+
+ double p4pi1[4],p4Gamma11[4],p4Gamma12[4];
+ double p4Gamma21[4],p4Gamma22[4];
+
+ double realA,imgA,realbarA,imgbarA;
+
+ evt3pionsp00_(&alpha,&iset,
+ p4pi1,
+ p4Gamma11,p4Gamma12,
+ p4Gamma21,p4Gamma22,
+ &realA,&imgA,&realbarA,&imgbarA);
+
+ p4[0].set(p4pi1[3],p4pi1[0],p4pi1[1],p4pi1[2]);
+ p4[1].set(p4Gamma11[3]+p4Gamma12[3],
+ p4Gamma11[0]+p4Gamma12[0],
+ p4Gamma11[1]+p4Gamma12[1],
+ p4Gamma11[2]+p4Gamma12[2]);
+ p4[2].set(p4Gamma21[3]+p4Gamma22[3],
+ p4Gamma21[0]+p4Gamma22[0],
+ p4Gamma21[1]+p4Gamma22[1],
+ p4Gamma21[2]+p4Gamma22[2]);
+
+ pi1->init( getDaug(0), p4[0] );
+ pi2->init( getDaug(1), p4[1] );
+ pi3->init( getDaug(2), p4[2] );
+
+ EvtComplex A(realA,imgA);
+ EvtComplex Abar(realbarA, imgbarA);
+
+ EvtComplex amp;
+ if(p->getId()==BP)
+ {
+ amp = A;
+ }
+ if(p->getId()==BM)
+ {
+ amp = Abar;
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtCBTo3piP00.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTCBTO3PIP00_HH
+#define EVTCBTO3PIP00_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtCBTo3piP00:public EvtDecayAmp {
+
+public:
+
+ EvtCBTo3piP00() {}
+ virtual ~EvtCBTo3piP00();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+/*****************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenModels
+ * File: $Id: EvtD0mixDalitz.cc,v 1.9 2008/11/27 16:37:24 jordix Exp $
+ *
+ * Description:
+ * The D0mixDalitz model, with many resonances and mixing implemented.
+ *
+ * Modification history:
+ * Jordi Garra Ticó 2008/07/03 File created
+ *****************************************************************************/
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtResonance.hh"
+#include "EvtGenBase/EvtDalitzPlot.hh"
+#include "EvtGenBase/EvtDalitzReso.hh"
+#include "EvtGenModels/EvtD0mixDalitz.hh"
+
+
+// Initialize the static variables.
+const EvtSpinType::spintype& EvtD0mixDalitz::_SCALAR = EvtSpinType::SCALAR;
+const EvtSpinType::spintype& EvtD0mixDalitz::_VECTOR = EvtSpinType::VECTOR;
+const EvtSpinType::spintype& EvtD0mixDalitz::_TENSOR = EvtSpinType::TENSOR;
+
+const EvtDalitzReso::CouplingType& EvtD0mixDalitz::_EtaPic = EvtDalitzReso::EtaPic;
+const EvtDalitzReso::CouplingType& EvtD0mixDalitz::_PicPicKK = EvtDalitzReso::PicPicKK;
+
+const EvtDalitzReso::NumType& EvtD0mixDalitz::_RBW = EvtDalitzReso::RBW_CLEO_ZEMACH;
+const EvtDalitzReso::NumType& EvtD0mixDalitz::_GS = EvtDalitzReso::GS_CLEO_ZEMACH;
+const EvtDalitzReso::NumType& EvtD0mixDalitz::_KMAT = EvtDalitzReso::K_MATRIX;
+
+const EvtCyclic3::Pair& EvtD0mixDalitz::_AB = EvtCyclic3::AB;
+const EvtCyclic3::Pair& EvtD0mixDalitz::_AC = EvtCyclic3::AC;
+const EvtCyclic3::Pair& EvtD0mixDalitz::_BC = EvtCyclic3::BC;
+
+
+void EvtD0mixDalitz::init()
+{
+ // check that there are 0 arguments
+ checkNDaug( 3 );
+
+ if ( getNArg() )
+ if ( getNArg() == 2 )
+ {
+ _x = getArg( 0 );
+ _y = getArg( 1 );
+ }
+ else if ( getNArg() == 4 )
+ {
+ _x = getArg( 0 );
+ _y = getArg( 1 );
+ _qp = EvtComplex( getArg( 2 ), getArg( 3 ) );
+ }
+ else if ( getNArg() == 5 )
+ {
+ _x = getArg( 0 );
+ _y = getArg( 1 );
+ _qp = EvtComplex( getArg( 2 ), getArg( 3 ) );
+ _isRBWmodel = ! getArg( 4 ); // RBW by default. If arg4 is set, do K-matrix.
+ }
+ else
+ {
+ report( ERROR, "EvtD0mixDalitz" ) << "Number of arguments for this model must be 0, 2, 4 or 5:" << std::endl
+ << "[ x y ][ qp.re qp.im ][ doK-matrix ]" << std::endl
+ << "Check your dec file." << std::endl;
+ exit( 1 );
+ }
+
+ checkSpinParent ( _SCALAR );
+ checkSpinDaughter( 0, _SCALAR );
+ checkSpinDaughter( 1, _SCALAR );
+ checkSpinDaughter( 2, _SCALAR );
+
+ readPDGValues();
+
+ // Get the EvtId of the D0 and its (3) daughters.
+ EvtId parId = getParentId();
+
+ EvtId dau[ 3 ];
+ for ( int index = 0; index < 3; index++ )
+ dau[ index ] = getDaug( index );
+
+ if ( parId == _D0 ) // Look for K0bar h+ h-. The order must be K[0SL] h+ h-
+ for ( int index = 0; index < 3; index++ )
+ if ( ( dau[ index ] == _K0B ) || ( dau[ index ] == _KS ) || ( dau[ index ] == _KL ) )
+ _d1 = index;
+ else if ( ( dau[ index ] == _PIP ) || ( dau[ index ] == _KP ) )
+ _d2 = index;
+ else if ( ( dau[ index ] == _PIM ) || ( dau[ index ] == _KM ) )
+ _d3 = index;
+ else
+ reportInvalidAndExit();
+ else if ( parId == _D0B ) // Look for K0 h+ h-. The order must be K[0SL] h- h+
+ for ( int index = 0; index < 3; index++ )
+ if ( ( dau[ index ] == _K0 ) || ( dau[ index ] == _KS ) || ( dau[ index ] == _KL ) )
+ _d1 = index;
+ else if ( ( dau[ index ] == _PIM ) || ( dau[ index ] == _KM ) )
+ _d2 = index;
+ else if ( ( dau[ index ] == _PIP ) || ( dau[ index ] == _KP ) )
+ _d3 = index;
+ else
+ reportInvalidAndExit();
+ else
+ reportInvalidAndExit();
+
+ // Check if we're dealing with Ks pi pi or with Ks K K.
+ _isKsPiPi = false;
+ if ( dau[ _d2 ] == _PIP || dau[ _d2 ] == _PIM )
+ _isKsPiPi = true;
+}
+
+
+
+void EvtD0mixDalitz::decay( EvtParticle* part )
+{
+ // Same structure for all of these decays.
+ part->initializePhaseSpace( getNDaug(), getDaugs() );
+ EvtVector4R pA = part->getDaug( _d1 )->getP4();
+ EvtVector4R pB = part->getDaug( _d2 )->getP4();
+ EvtVector4R pC = part->getDaug( _d3 )->getP4();
+
+ // Squared invariant masses.
+ double m2AB = ( pA + pB ).mass2();
+ double m2AC = ( pA + pC ).mass2();
+ double m2BC = ( pB + pC ).mass2();
+
+ // Dalitz amplitudes of the decay of the particle and that of the antiparticle.
+ EvtComplex ampDalitz;
+ EvtComplex ampAntiDalitz;
+
+ if ( _isKsPiPi )
+ { // For Ks pi pi
+ EvtDalitzPoint point ( _mKs, _mPi, _mPi, m2AB, m2BC, m2AC );
+ EvtDalitzPoint antiPoint( _mKs, _mPi, _mPi, m2AC, m2BC, m2AB );
+
+ ampDalitz = dalitzKsPiPi( point );
+ ampAntiDalitz = dalitzKsPiPi( antiPoint );
+ }
+ else
+ { // For Ks K K
+ EvtDalitzPoint point ( _mKs, _mK, _mK, m2AB, m2BC, m2AC );
+ EvtDalitzPoint antiPoint( _mKs, _mK, _mK, m2AC, m2BC, m2AB );
+
+ ampDalitz = dalitzKsKK( point );
+ ampAntiDalitz = dalitzKsKK( antiPoint );
+ }
+
+ //_i1 += ampDalitz * conj( ampDalitz ) / 1.e8;
+ //_iChi += ampAntiDalitz * conj( ampDalitz ) / 1.e8;
+ //_iChi2 += ampAntiDalitz * conj( ampAntiDalitz ) / 1.e8;
+
+ //std::cout << "INTEGRALS: " << _i1 << " " << _iChi << " " << _iChi2 << " " << _iChi / _i1 << " " << _iChi2 / _i1 << std::endl;
+
+ // Assume there's no direct CP violation.
+ EvtComplex barAOverA = ampAntiDalitz / ampDalitz;
+
+ // CP violation in the interference. _qp implements CP violation in the mixing.
+ EvtComplex chi = _qp * barAOverA;
+
+ // Generate a negative exponential life time. p( gt ) = ( 1 - y ) * e^{ - ( 1 - y ) gt }
+ double gt = -log( EvtRandom::Flat() ) / ( 1. - _y );
+ part->setLifetime( gt / _gamma );
+
+ // Compute time dependent amplitude.
+ EvtComplex amp = .5 * ampDalitz * exp( - _y * gt / 2. ) * ( ( 1. + chi ) * h1( gt ) + ( 1. - chi ) * h2( gt ) );
+
+ vertex( amp );
+
+ return;
+}
+
+
+void EvtD0mixDalitz::readPDGValues()
+{
+ // Define the EvtIds.
+ _D0 = EvtPDL::getId( "D0" );
+ _D0B = EvtPDL::getId( "anti-D0" );
+ _KM = EvtPDL::getId( "K-" );
+ _KP = EvtPDL::getId( "K+" );
+ _K0 = EvtPDL::getId( "K0" );
+ _K0B = EvtPDL::getId( "anti-K0" );
+ _KL = EvtPDL::getId( "K_L0" );
+ _KS = EvtPDL::getId( "K_S0" );
+ _PIM = EvtPDL::getId( "pi-" );
+ _PIP = EvtPDL::getId( "pi+" );
+
+ // Read the relevant masses.
+ _mD0 = EvtPDL::getMass( _D0 );
+ _mKs = EvtPDL::getMass( _KS );
+ _mPi = EvtPDL::getMass( _PIP );
+ _mK = EvtPDL::getMass( _KP );
+
+ // Compute the decay rate from the parameter in the evt.pdl file.
+ _ctau = EvtPDL::getctau( EvtPDL::getId( "D0" ) );
+
+ //_iChi = _qp * EvtComplex( 0.089723 , 0.0004776 ); // All resonances RBW, also Rho0.
+
+ //_iChi = _qp * EvtComplex( 0.0481807, 0.0003043 ); // KStarm only
+ //_iChi = _qp * EvtComplex( 0.0594099, 0.00023803 ); // All resonances RBW but GS Rho
+ //_iChi = _qp * EvtComplex( 0.0780186, 0.000417646 ); // All resonances for KsKK
+ //_iChi2 = _qp * 1.;
+
+ /*
+ // Compute the gamma correction factor avgBeta = Gamma tau.
+ // Compute the norm of the unnormalized p(\beta).
+ double factorY = ( 1. + abs( _iChi2 ) ) / 2. - _y * real( _iChi );
+ double factorX = ( 1. - abs( _iChi2 ) ) / 2. + _x * imag( _iChi );
+ double norm = factorY / ( 1. - pow( _y, 2 ) ) + factorX / ( 1. + pow( _x, 2 ) );
+
+ // Compute the integral of p(\beta) \beta d\beta.
+ double termY = ( 1. + abs( _iChi2 ) ) / 2. - 2. * _y / ( 1. + pow( _y, 2 ) ) * real( _iChi );
+ double termX = ( 1. - abs( _iChi2 ) ) / 2. + 2. * _x / ( 1. - pow( _x, 2 ) ) * imag( _iChi );
+ double quotientY = ( 1. + pow( _y, 2 ) ) / pow( 1. - pow( _y, 2 ), 2 );
+ double quotientX = ( 1. - pow( _x, 2 ) ) / pow( 1. + pow( _x, 2 ), 2 );
+ double normTimesAvg = termY * quotientY + termX * quotientX;
+
+ double avgBeta = normTimesAvg / norm;
+
+ _gamma = avgBeta / _ctau;
+ */
+
+ _gamma = 1. / _ctau; // ALERT: Gamma is not 1 / tau.
+}
+
+
+EvtComplex EvtD0mixDalitz::dalitzKsPiPi( const EvtDalitzPoint& point )
+{
+ static const EvtDalitzPlot plot( _mKs, _mPi, _mPi, _mD0 );
+
+ EvtComplex amp = 0.;
+
+ if ( _isRBWmodel )
+ {
+ // This corresponds to relativistic Breit-Wigner distributions. Not K-matrix.
+ // Defining resonances.
+ static EvtDalitzReso KStarm ( plot, _BC, _AC, _VECTOR, 0.893606, 0.0463407, _RBW );
+ static EvtDalitzReso KStarp ( plot, _BC, _AB, _VECTOR, 0.893606, 0.0463407, _RBW );
+ static EvtDalitzReso rho0 ( plot, _AC, _BC, _VECTOR, 0.7758 , 0.1464 , _GS );
+ static EvtDalitzReso omega ( plot, _AC, _BC, _VECTOR, 0.78259 , 0.00849 , _RBW );
+ static EvtDalitzReso f0_980 ( plot, _AC, _BC, _SCALAR, 0.975 , 0.044 , _RBW );
+ static EvtDalitzReso f0_1370 ( plot, _AC, _BC, _SCALAR, 1.434 , 0.173 , _RBW );
+ static EvtDalitzReso f2_1270 ( plot, _AC, _BC, _TENSOR, 1.2754 , 0.1851 , _RBW );
+ static EvtDalitzReso K0Starm_1430( plot, _BC, _AC, _SCALAR, 1.459 , 0.175 , _RBW );
+ static EvtDalitzReso K0Starp_1430( plot, _BC, _AB, _SCALAR, 1.459 , 0.175 , _RBW );
+ static EvtDalitzReso K2Starm_1430( plot, _BC, _AC, _TENSOR, 1.4256 , 0.0985 , _RBW );
+ static EvtDalitzReso K2Starp_1430( plot, _BC, _AB, _TENSOR, 1.4256 , 0.0985 , _RBW );
+ static EvtDalitzReso sigma ( plot, _AC, _BC, _SCALAR, 0.527699, 0.511861 , _RBW );
+ static EvtDalitzReso sigma2 ( plot, _AC, _BC, _SCALAR, 1.03327 , 0.0987890, _RBW );
+ static EvtDalitzReso KStarm_1680 ( plot, _BC, _AC, _VECTOR, 1.677 , 0.205 , _RBW );
+
+ // Adding terms to the amplitude with their corresponding amplitude and phase terms.
+ amp += EvtComplex( .848984 , .893618 );
+ amp += EvtComplex( -1.16356 , 1.19933 ) * KStarm .evaluate( point );
+ amp += EvtComplex( .106051 , - .118513 ) * KStarp .evaluate( point );
+ amp += EvtComplex( 1.0 , 0.0 ) * rho0 .evaluate( point );
+ amp += EvtComplex( - .0249569, .0388072 ) * omega .evaluate( point );
+ amp += EvtComplex( - .423586 , - .236099 ) * f0_980 .evaluate( point );
+ amp += EvtComplex( -2.16486 , 3.62385 ) * f0_1370 .evaluate( point );
+ amp += EvtComplex( .217748 , - .133327 ) * f2_1270 .evaluate( point );
+ amp += EvtComplex( 1.62128 , 1.06816 ) * K0Starm_1430.evaluate( point );
+ amp += EvtComplex( .148802 , .0897144 ) * K0Starp_1430.evaluate( point );
+ amp += EvtComplex( 1.15489 , - .773363 ) * K2Starm_1430.evaluate( point );
+ amp += EvtComplex( .140865 , - .165378 ) * K2Starp_1430.evaluate( point );
+ amp += EvtComplex( -1.55556 , - .931685 ) * sigma .evaluate( point );
+ amp += EvtComplex( - .273791 , - .0535596 ) * sigma2 .evaluate( point );
+ amp += EvtComplex( -1.69720 , .128038 ) * KStarm_1680 .evaluate( point );
+ }
+ else
+ {
+ // This corresponds to the complete model (RBW, GS, LASS and K-matrix).
+ // Defining resonances.
+ static EvtDalitzReso KStarm ( plot, _BC, _AC, _VECTOR, 0.893619, 0.0466508, _RBW );
+ static EvtDalitzReso KStarp ( plot, _BC, _AB, _VECTOR, 0.893619, 0.0466508, _RBW );
+ static EvtDalitzReso rho0 ( plot, _AC, _BC, _VECTOR, 0.7758 , 0.1464 , _GS );
+ static EvtDalitzReso omega ( plot, _AC, _BC, _VECTOR, 0.78259 , 0.00849 , _RBW );
+ static EvtDalitzReso f2_1270 ( plot, _AC, _BC, _TENSOR, 1.2754 , 0.1851 , _RBW );
+ static EvtDalitzReso K0Starm_1430( plot, _AC, 1.46312, 0.232393, 1.0746, -1.83214, .803516, 2.32788, 1., -5.31306 ); // LASS
+ static EvtDalitzReso K0Starp_1430( plot, _AB, 1.46312, 0.232393, 1.0746, -1.83214, .803516, 2.32788, 1., -5.31306 ); // LASS
+ static EvtDalitzReso K2Starm_1430( plot, _BC, _AC, _TENSOR, 1.4256 , 0.0985 , _RBW );
+ static EvtDalitzReso K2Starp_1430( plot, _BC, _AB, _TENSOR, 1.4256 , 0.0985 , _RBW );
+ static EvtDalitzReso KStarm_1680 ( plot, _BC, _AC, _VECTOR, 1.677 , 0.205 , _RBW );
+
+ // Defining K-matrix.
+ static EvtComplex fr12( 1.87981, -.628378 );
+ static EvtComplex fr13( 4.3242 , 2.75019 );
+ static EvtComplex fr14( 3.22336, .271048 );
+ static EvtComplex fr15( .0 , .0 );
+ static EvtDalitzReso Pole1 ( plot, _BC, "Pole1" , _KMAT, fr12, fr13, fr14, fr15, -.0694725 );
+ static EvtDalitzReso Pole2 ( plot, _BC, "Pole2" , _KMAT, fr12, fr13, fr14, fr15, -.0694725 );
+ static EvtDalitzReso Pole3 ( plot, _BC, "Pole3" , _KMAT, fr12, fr13, fr14, fr15, -.0694725 );
+ static EvtDalitzReso Pole4 ( plot, _BC, "Pole4" , _KMAT, fr12, fr13, fr14, fr15, -.0694725 );
+ static EvtDalitzReso kmatrix( plot, _BC, "f11prod", _KMAT, fr12, fr13, fr14, fr15, -.0694725 );
+
+ // Adding terms to the amplitude with their corresponding amplitude and phase terms.
+ amp += EvtComplex( - 1.31394 , 1.14072 ) * KStarm .evaluate( point );
+ amp += EvtComplex( .116239 , - .107287 ) * KStarp .evaluate( point );
+ amp += EvtComplex( 1.0 , 0.0 ) * rho0 .evaluate( point );
+ amp += EvtComplex( - .0313343 , .0424013 ) * omega .evaluate( point );
+ amp += EvtComplex( .559412 , - .232336 ) * f2_1270 .evaluate( point );
+ amp += EvtComplex( 7.35400 , -3.67637 ) * K0Starm_1430.evaluate( point );
+ amp += EvtComplex( .255913 , - .190459 ) * K0Starp_1430.evaluate( point );
+ amp += EvtComplex( 1.05397 , - .936297 ) * K2Starm_1430.evaluate( point );
+ amp += EvtComplex( - .00760136, - .0908624 ) * K2Starp_1430.evaluate( point );
+ amp += EvtComplex( - 1.45336 , - .164494 ) * KStarm_1680 .evaluate( point );
+ amp += EvtComplex( - 1.81830 , 9.10680 ) * Pole1 .evaluate( point );
+ amp += EvtComplex( 10.1751 , 3.87961 ) * Pole2 .evaluate( point );
+ amp += EvtComplex( 23.6569 , -4.94551 ) * Pole3 .evaluate( point );
+ amp += EvtComplex( .0725431 , -9.16264 ) * Pole4 .evaluate( point );
+ amp += EvtComplex( - 2.19449 , -7.62666 ) * kmatrix .evaluate( point );
+
+ amp *= .97; // Multiply by a constant in order to use the same maximum as RBW model.
+ }
+
+ return amp;
+}
+
+
+EvtComplex EvtD0mixDalitz::dalitzKsKK( const EvtDalitzPoint& point )
+{
+ static const EvtDalitzPlot plot( _mKs, _mK, _mK, _mD0 );
+
+ // Defining resonances.
+ static EvtDalitzReso a00_980 ( plot, _AC, _BC, _SCALAR, 0.999 , _RBW, .550173, .324, _EtaPic );
+ static EvtDalitzReso phi ( plot, _AC, _BC, _VECTOR, 1.01943, .00459319 , _RBW );
+ static EvtDalitzReso a0p_980 ( plot, _AC, _AB, _SCALAR, 0.999 , _RBW, .550173, .324, _EtaPic );
+ static EvtDalitzReso f0_1370 ( plot, _AC, _BC, _SCALAR, 1.350 , .265 , _RBW );
+ static EvtDalitzReso a0m_980 ( plot, _AB, _AC, _SCALAR, 0.999 , _RBW, .550173, .324, _EtaPic );
+ static EvtDalitzReso f0_980 ( plot, _AC, _BC, _SCALAR, 0.965 , _RBW, .695 , .165, _PicPicKK );
+ static EvtDalitzReso f2_1270 ( plot, _AC, _BC, _TENSOR, 1.2754 , .1851 , _RBW );
+ static EvtDalitzReso a00_1450( plot, _AC, _BC, _SCALAR, 1.474 , .265 , _RBW );
+ static EvtDalitzReso a0p_1450( plot, _AC, _AB, _SCALAR, 1.474 , .265 , _RBW );
+ static EvtDalitzReso a0m_1450( plot, _AB, _AC, _SCALAR, 1.474 , .265 , _RBW );
+
+ // Adding terms to the amplitude with their corresponding amplitude and phase terms.
+ EvtComplex amp( 0., 0. ); // Phase space amplitude.
+ amp += EvtComplex( 1.0 , 0.0 ) * a00_980 .evaluate( point );
+ amp += EvtComplex( -.126314 , .188701 ) * phi .evaluate( point );
+ amp += EvtComplex( -.561428 , .0135338 ) * a0p_980 .evaluate( point );
+ amp += EvtComplex( .035 , -.00110488 ) * f0_1370 .evaluate( point );
+ amp += EvtComplex( -.0872735 , .0791190 ) * a0m_980 .evaluate( point );
+ amp += EvtComplex( 0. , 0. ) * f0_980 .evaluate( point );
+ amp += EvtComplex( .257341 , -.0408343 ) * f2_1270 .evaluate( point );
+ amp += EvtComplex( -.0614342 , -.649930 ) * a00_1450.evaluate( point );
+ amp += EvtComplex( -.104629 , .830120 ) * a0p_1450.evaluate( point );
+ amp += EvtComplex( 0. , 0. ) * a0m_1450.evaluate( point );
+
+ return 2.8 * amp; // Multiply by 2.8 in order to reuse the same probmax as Ks pi pi.
+}
+
+
+// < f | H | D^0 (t) > = 1/2 * [ ( 1 + \chi_f ) * A_f * e_1(gt) + ( 1 - \chi_f ) * A_f * e_2(gt) ]
+// < f | H | D^0 (t) > = 1/2 * exp( -gamma t / 2 ) * [ ( 1 + \chi_f ) * A_f * h_1(t) + ( 1 - \chi_f ) * A_f * h_2(t) ]
+// e{1,2}( gt ) = exp( -gt / 2 ) * h{1,2}( gt ).
+EvtComplex EvtD0mixDalitz::h1( const double& gt ) const
+{
+ return exp( - EvtComplex( _y, _x ) * gt / 2. );
+}
+
+
+EvtComplex EvtD0mixDalitz::h2( const double& gt ) const
+{
+ return exp( EvtComplex( _y, _x ) * gt / 2. );
+}
+
--- /dev/null
+/*****************************************************************************
+ * Project: BaBar detector at the SLAC PEP-II B-factory
+ * Package: EvtGenModels
+ * File: $Id: EvtD0mixDalitz.hh,v 1.6 2008/11/14 12:22:06 jordix Exp $
+ *
+ * Description:
+ * The D0mixDalitz model, with many resonances and mixing implemented.
+ *
+ * Modification history:
+ * Jordi Garra Ticó 2008/07/03 File created
+ *****************************************************************************/
+
+#ifndef __EVTD0MIXDALITZ_HH__
+#define __EVTD0MIXDALITZ_HH__
+
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtDalitzReso.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+
+
+class EvtD0mixDalitz : public EvtDecayAmp
+{
+private:
+ int _d1;
+ int _d2;
+ int _d3;
+
+ // Mixing parameters.
+ double _x;
+ double _y;
+
+ // q/p CP violation in the mixing.
+ EvtComplex _qp;
+
+ // Checker of the decay mode.
+ bool _isKsPiPi;
+ bool _isRBWmodel;
+
+ // Useful constants.
+ static const EvtSpinType::spintype& _SCALAR;
+ static const EvtSpinType::spintype& _VECTOR;
+ static const EvtSpinType::spintype& _TENSOR;
+
+ static const EvtDalitzReso::CouplingType& _EtaPic;
+ static const EvtDalitzReso::CouplingType& _PicPicKK;
+
+ static const EvtDalitzReso::NumType& _RBW;
+ static const EvtDalitzReso::NumType& _GS;
+ static const EvtDalitzReso::NumType& _KMAT;
+
+ static const EvtCyclic3::Pair& _AB;
+ static const EvtCyclic3::Pair& _AC;
+ static const EvtCyclic3::Pair& _BC;
+
+ // Values to be read or computed based on values in the evt.pdl file.
+ // IDs of the relevant particles.
+ EvtId _D0;
+ EvtId _D0B;
+ EvtId _KM;
+ EvtId _KP;
+ EvtId _K0;
+ EvtId _K0B;
+ EvtId _KL;
+ EvtId _KS;
+ EvtId _PIM;
+ EvtId _PIP;
+
+ // Masses of the relevant particles.
+ double _mD0;
+ double _mKs;
+ double _mPi;
+ double _mK;
+
+ // Life time and decay rate.
+ double _ctau;
+ double _gamma;
+
+ // Some useful integrals over the Dalitz plot.
+ EvtComplex _iChi;
+ EvtComplex _iChi2;
+
+ void readPDGValues();
+ EvtComplex dalitzKsPiPi( const EvtDalitzPoint& point );
+ EvtComplex dalitzKsKK ( const EvtDalitzPoint& point );
+
+ // Time evolution functions for hamiltonian eigenstates.
+ // Negative exponential part removed.
+ EvtComplex h1( const double& ct ) const;
+ EvtComplex h2( const double& ct ) const;
+
+ void reportInvalidAndExit() const
+ {
+ report( ERROR, "EvtD0mixDalitz" ) << "EvtD0mixDalitz: Invalid mode." << std::endl;
+ exit( 1 );
+ }
+public:
+ EvtD0mixDalitz() : _d1( 0 ), _d2( 0 ), _d3( 0 ),
+ _x( 0. ), _y( 0. ), _qp( 1. ),
+ _isKsPiPi( false ), _isRBWmodel( true )
+ {}
+
+ virtual ~EvtD0mixDalitz() {};
+
+ // One-line inline functions.
+ std::string getName() { return "D0MIXDALITZ"; }
+ EvtDecayBase* clone() { return new EvtD0mixDalitz; }
+ void initProbMax() { setProbMax( 5200. ); }
+
+ void init();
+ void decay( EvtParticle* p );
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDDalitz.cc
+//
+// Description: Routine to handle three-body decays of D0/D0_bar or D+/D-
+//
+// Modification history:
+//
+// NK September 3, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtResonance.hh"
+#include "EvtGenBase/EvtResonance2.hh"
+#include "EvtGenModels/EvtDDalitz.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtFlatte.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+using std::endl;
+
+EvtDDalitz::~EvtDDalitz() {}
+
+std::string EvtDDalitz::getName(){
+
+ return "D_DALITZ";
+
+}
+
+
+EvtDecayBase* EvtDDalitz::clone(){
+
+ return new EvtDDalitz;
+
+}
+
+void EvtDDalitz::init(){
+
+ // check that there are 0 arguments
+
+ static EvtId DM=EvtPDL::getId("D-");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId KL=EvtPDL::getId("K_L0");
+ static EvtId KS=EvtPDL::getId("K_S0");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static double MPI = EvtPDL::getMeanMass(PI0);
+ static double MKP = EvtPDL::getMeanMass(KP);
+
+
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+
+ EvtId parnum=getParentId();
+ EvtId d1=getDaug(0);
+ EvtId d2=getDaug(1);
+ EvtId d3=getDaug(2);
+ _flag=0;
+ if ( parnum == D0 ) {
+ //look for either a K- pi+ pi0 or K0bar pi+ pi-
+ if ( d1==KM && d2==PIP && d3==PI0 ) { _flag=4; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KM && d3==PIP && d2==PI0 ) { _flag=4; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KM && d1==PIP && d3==PI0 ) { _flag=4; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KM && d3==PIP && d1==PI0 ) { _flag=4; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KM && d1==PIP && d2==PI0 ) { _flag=4; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KM && d2==PIP && d1==PI0 ) { _flag=4; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KB && d2==PIP && d3==PIM ) { _flag=3; _d1=0; _d2=2; _d3=1;}
+ if ( d1==KB && d3==PIP && d2==PIM ) { _flag=3; _d1=0; _d2=1; _d3=2;}
+ if ( d2==KB && d1==PIP && d3==PIM ) { _flag=3; _d1=1; _d2=2; _d3=0;}
+ if ( d2==KB && d3==PIP && d1==PIM ) { _flag=3; _d1=1; _d2=0; _d3=2;}
+ if ( d3==KB && d1==PIP && d2==PIM ) { _flag=3; _d1=2; _d2=1; _d3=0;}
+ if ( d3==KB && d2==PIP && d1==PIM ) { _flag=3; _d1=2; _d2=0; _d3=1;}
+
+ if ( d1==KL && d2==PIP && d3==PIM ) { _flag=3; _d1=0; _d2=2; _d3=1;}
+ if ( d1==KL && d3==PIP && d2==PIM ) { _flag=3; _d1=0; _d2=1; _d3=2;}
+ if ( d2==KL && d1==PIP && d3==PIM ) { _flag=3; _d1=1; _d2=2; _d3=0;}
+ if ( d2==KL && d3==PIP && d1==PIM ) { _flag=3; _d1=1; _d2=0; _d3=2;}
+ if ( d3==KL && d1==PIP && d2==PIM ) { _flag=3; _d1=2; _d2=1; _d3=0;}
+ if ( d3==KL && d2==PIP && d1==PIM ) { _flag=3; _d1=2; _d2=0; _d3=1;}
+
+ if ( d1==KS && d2==PIP && d3==PIM ) { _flag=3; _d1=0; _d2=2; _d3=1;}
+ if ( d1==KS && d3==PIP && d2==PIM ) { _flag=3; _d1=0; _d2=1; _d3=2;}
+ if ( d2==KS && d1==PIP && d3==PIM ) { _flag=3; _d1=1; _d2=2; _d3=0;}
+ if ( d2==KS && d3==PIP && d1==PIM ) { _flag=3; _d1=1; _d2=0; _d3=2;}
+ if ( d3==KS && d1==PIP && d2==PIM ) { _flag=3; _d1=2; _d2=1; _d3=0;}
+ if ( d3==KS && d2==PIP && d1==PIM ) { _flag=3; _d1=2; _d2=0; _d3=1;}
+
+
+ if ( d1==KS && d2==KP && d3==KM ) {_flag=5;_d1=0;_d2=2;_d3=1;}
+ if ( d1==KS && d3==KP && d2==KM ) {_flag=5;_d1=0;_d2=1;_d3=2;}
+ if ( d2==KS && d1==KP && d3==KM ) {_flag=5;_d1=1;_d2=2;_d3=0;}
+ if ( d2==KS && d3==KP && d1==KM ) {_flag=5;_d1=1;_d2=0;_d3=2;}
+ if ( d3==KS && d1==KP && d2==KM ) {_flag=5;_d1=2;_d2=1;_d3=0;}
+ if ( d3==KS && d2==KP && d1==KM ) {_flag=5;_d1=2;_d2=0;_d3=1;}
+
+ if ( d1==KL && d2==KP && d3==KM ) {_flag=5;_d1=0;_d2=2;_d3=1;}
+ if ( d1==KL && d3==KP && d2==KM ) {_flag=5;_d1=0;_d2=1;_d3=2;}
+ if ( d2==KL && d1==KP && d3==KM ) {_flag=5;_d1=1;_d2=2;_d3=0;}
+ if ( d2==KL && d3==KP && d1==KM ) {_flag=5;_d1=1;_d2=0;_d3=2;}
+ if ( d3==KL && d1==KP && d2==KM ) {_flag=5;_d1=2;_d2=1;_d3=0;}
+ if ( d3==KL && d2==KP && d1==KM ) {_flag=5;_d1=2;_d2=0;_d3=1;}
+
+ if ( d1==K0 && d2==KP && d3==KM ) {_flag=5;_d1=0;_d2=2;_d3=1;}
+ if ( d1==K0 && d3==KP && d2==KM ) {_flag=5;_d1=0;_d2=1;_d3=2;}
+ if ( d2==K0 && d1==KP && d3==KM ) {_flag=5;_d1=1;_d2=2;_d3=0;}
+ if ( d2==K0 && d3==KP && d1==KM ) {_flag=5;_d1=1;_d2=0;_d3=2;}
+ if ( d3==K0 && d1==KP && d2==KM ) {_flag=5;_d1=2;_d2=1;_d3=0;}
+ if ( d3==K0 && d2==KP && d1==KM ) {_flag=5;_d1=2;_d2=0;_d3=1;}
+ }
+ if ( parnum == D0B ) {
+ //look for either a K+ pi- pi0 or K0 pi+ pi-
+ if ( d1==KP && d2==PIM && d3==PI0 ) { _flag=4; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KP && d3==PIM && d2==PI0 ) { _flag=4; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KP && d1==PIM && d3==PI0 ) { _flag=4; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KP && d3==PIM && d1==PI0 ) { _flag=4; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KP && d1==PIM && d2==PI0 ) { _flag=4; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KP && d2==PIM && d1==PI0 ) { _flag=4; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==K0 && d2==PIP && d3==PIM ) { _flag=3; _d1=0; _d2=1; _d3=2;}
+ if ( d1==K0 && d3==PIP && d2==PIM ) { _flag=3; _d1=0; _d2=2; _d3=1;}
+ if ( d2==K0 && d1==PIP && d3==PIM ) { _flag=3; _d1=1; _d2=0; _d3=2;}
+ if ( d2==K0 && d3==PIP && d1==PIM ) { _flag=3; _d1=1; _d2=2; _d3=0;}
+ if ( d3==K0 && d1==PIP && d2==PIM ) { _flag=3; _d1=2; _d2=0; _d3=1;}
+ if ( d3==K0 && d2==PIP && d1==PIM ) { _flag=3; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KL && d2==PIP && d3==PIM ) { _flag=3; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KL && d3==PIP && d2==PIM ) { _flag=3; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KL && d1==PIP && d3==PIM ) { _flag=3; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KL && d3==PIP && d1==PIM ) { _flag=3; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KL && d1==PIP && d2==PIM ) { _flag=3; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KL && d2==PIP && d1==PIM ) { _flag=3; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KS && d2==PIP && d3==PIM ) { _flag=3; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KS && d3==PIP && d2==PIM ) { _flag=3; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KS && d1==PIP && d3==PIM ) { _flag=3; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KS && d3==PIP && d1==PIM ) { _flag=3; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KS && d1==PIP && d2==PIM ) { _flag=3; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KS && d2==PIP && d1==PIM ) { _flag=3; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KS && d2==KP && d3==KM ) {_flag=5;_d1=0;_d2=1;_d3=2;}
+ if ( d1==KS && d3==KP && d2==KM ) {_flag=5;_d1=0;_d2=2;_d3=1;}
+ if ( d2==KS && d1==KP && d3==KM ) {_flag=5;_d1=1;_d2=0;_d3=2;}
+ if ( d2==KS && d3==KP && d1==KM ) {_flag=5;_d1=1;_d2=2;_d3=0;}
+ if ( d3==KS && d1==KP && d2==KM ) {_flag=5;_d1=2;_d2=0;_d3=1;}
+ if ( d3==KS && d2==KP && d1==KM ) {_flag=5;_d1=2;_d2=1;_d3=0;}
+
+ if ( d1==KL && d2==KP && d3==KM ) {_flag=5;_d1=0;_d2=1;_d3=2;}
+ if ( d1==KL && d3==KP && d2==KM ) {_flag=5;_d1=0;_d2=2;_d3=1;}
+ if ( d2==KL && d1==KP && d3==KM ) {_flag=5;_d1=1;_d2=0;_d3=2;}
+ if ( d2==KL && d3==KP && d1==KM ) {_flag=5;_d1=1;_d2=2;_d3=0;}
+ if ( d3==KL && d1==KP && d2==KM ) {_flag=5;_d1=2;_d2=0;_d3=1;}
+ if ( d3==KL && d2==KP && d1==KM ) {_flag=5;_d1=2;_d2=1;_d3=0;}
+
+ if ( d1==K0 && d2==KP && d3==KM ) {_flag=5;_d1=0;_d2=1;_d3=2;}
+ if ( d1==K0 && d3==KP && d2==KM ) {_flag=5;_d1=0;_d2=2;_d3=1;}
+ if ( d2==K0 && d1==KP && d3==KM ) {_flag=5;_d1=1;_d2=0;_d3=2;}
+ if ( d2==K0 && d3==KP && d1==KM ) {_flag=5;_d1=1;_d2=2;_d3=0;}
+ if ( d3==K0 && d1==KP && d2==KM ) {_flag=5;_d1=2;_d2=0;_d3=1;}
+ if ( d3==K0 && d2==KP && d1==KM ) {_flag=5;_d1=2;_d2=1;_d3=0;}
+
+ }
+
+ if ( parnum == DP ) {
+ //look for K- pi+ pi+
+ if ( d1==KB && d2==PIP && d3==PI0 ) { _flag=2; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KB && d3==PIP && d2==PI0 ) { _flag=2; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KB && d1==PIP && d3==PI0 ) { _flag=2; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KB && d3==PIP && d1==PI0 ) { _flag=2; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KB && d1==PIP && d2==PI0 ) { _flag=2; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KB && d2==PIP && d1==PI0 ) { _flag=2; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KL && d2==PIP && d3==PI0 ) { _flag=2; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KL && d3==PIP && d2==PI0 ) { _flag=2; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KL && d1==PIP && d3==PI0 ) { _flag=2; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KL && d3==PIP && d1==PI0 ) { _flag=2; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KL && d1==PIP && d2==PI0 ) { _flag=2; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KL && d2==PIP && d1==PI0 ) { _flag=2; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KS && d2==PIP && d3==PI0 ) { _flag=2; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KS && d3==PIP && d2==PI0 ) { _flag=2; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KS && d1==PIP && d3==PI0 ) { _flag=2; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KS && d3==PIP && d1==PI0 ) { _flag=2; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KS && d1==PIP && d2==PI0 ) { _flag=2; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KS && d2==PIP && d1==PI0 ) { _flag=2; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KM && d2==PIP && d3==PIP ) { _flag=1; _d1=0; _d2=1; _d3=2;}
+ if ( d2==KM && d1==PIP && d3==PIP ) { _flag=1; _d1=1; _d2=0; _d3=2;}
+ if ( d3==KM && d1==PIP && d2==PIP ) { _flag=1; _d1=2; _d2=0; _d3=1;}
+ }
+
+ if ( parnum == DM ) {
+ //look for K- pi+ pi+
+ if ( d1==K0 && d2==PIM && d3==PI0 ) { _flag=2; _d1=0; _d2=1; _d3=2;}
+ if ( d1==K0 && d3==PIM && d2==PI0 ) { _flag=2; _d1=0; _d2=2; _d3=1;}
+ if ( d2==K0 && d1==PIM && d3==PI0 ) { _flag=2; _d1=1; _d2=0; _d3=2;}
+ if ( d2==K0 && d3==PIM && d1==PI0 ) { _flag=2; _d1=1; _d2=2; _d3=0;}
+ if ( d3==K0 && d1==PIM && d2==PI0 ) { _flag=2; _d1=2; _d2=0; _d3=1;}
+ if ( d3==K0 && d2==PIM && d1==PI0 ) { _flag=2; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KL && d2==PIM && d3==PI0 ) { _flag=2; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KL && d3==PIM && d2==PI0 ) { _flag=2; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KL && d1==PIM && d3==PI0 ) { _flag=2; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KL && d3==PIM && d1==PI0 ) { _flag=2; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KL && d1==PIM && d2==PI0 ) { _flag=2; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KL && d2==PIM && d1==PI0 ) { _flag=2; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KS && d2==PIM && d3==PI0 ) { _flag=2; _d1=0; _d2=1; _d3=2;}
+ if ( d1==KS && d3==PIM && d2==PI0 ) { _flag=2; _d1=0; _d2=2; _d3=1;}
+ if ( d2==KS && d1==PIM && d3==PI0 ) { _flag=2; _d1=1; _d2=0; _d3=2;}
+ if ( d2==KS && d3==PIM && d1==PI0 ) { _flag=2; _d1=1; _d2=2; _d3=0;}
+ if ( d3==KS && d1==PIM && d2==PI0 ) { _flag=2; _d1=2; _d2=0; _d3=1;}
+ if ( d3==KS && d2==PIM && d1==PI0 ) { _flag=2; _d1=2; _d2=1; _d3=0;}
+
+ if ( d1==KP && d2==PIM && d3==PIM ) { _flag=1; _d1=0; _d2=1; _d3=2;}
+ if ( d2==KP && d1==PIM && d3==PIM ) { _flag=1; _d1=1; _d2=0; _d3=2;}
+ if ( d3==KP && d1==PIM && d2==PIM ) { _flag=1; _d1=2; _d2=0; _d3=1;}
+ }
+
+ if ( parnum == DSP ) {
+ if ( d1==KM && d2==KP && d3==PIP ) { _flag=6; _d1=0; _d2=1; _d3=2; }
+ if ( d1==KM && d3==KP && d2==PIP ) { _flag=6; _d1=0; _d2=2; _d3=1; }
+ if ( d2==KM && d1==KP && d3==PIP ) { _flag=6; _d1=1; _d2=0; _d3=2; }
+ if ( d2==KM && d3==KP && d1==PIP ) { _flag=6; _d1=1; _d2=2; _d3=0; }
+ if ( d3==KM && d1==KP && d2==PIP ) { _flag=6; _d1=2; _d2=0; _d3=1; }
+ if ( d3==KM && d2==KP && d1==PIP ) { _flag=6; _d1=2; _d2=1; _d3=0; }
+ }
+
+ if ( parnum == DSM ) {
+ if ( d1==KP && d2==KM && d3==PIM ) { _flag=6; _d1=0; _d2=1; _d3=2; }
+ if ( d1==KP && d3==KM && d2==PIM ) { _flag=6; _d1=0; _d2=2; _d3=1; }
+ if ( d2==KP && d1==KM && d3==PIM ) { _flag=6; _d1=1; _d2=0; _d3=2; }
+ if ( d2==KP && d3==KM && d1==PIM ) { _flag=6; _d1=1; _d2=2; _d3=0; }
+ if ( d3==KP && d1==KM && d2==PIM ) { _flag=6; _d1=2; _d2=0; _d3=1; }
+ if ( d3==KP && d2==KM && d1==PIM ) { _flag=6; _d1=2; _d2=1; _d3=0; }
+ }
+
+ if ( _flag==6) {
+ _kkpi_params.push_back(EvtFlatteParam(MPI, MPI, 0.406));
+ _kkpi_params.push_back(EvtFlatteParam(MKP, MKP, 0.800));
+ }
+
+ if ( _flag==0) {
+ report(ERROR,"EvtGen") << "EvtDDaltiz: Invalid mode."<<endl;
+ assert(0);
+ }
+}
+
+void EvtDDalitz::initProbMax() {
+
+//probmax different for different modes!
+
+ if ( _flag==1 ) {setProbMax(9.6);}
+ if ( _flag==2 ) {setProbMax(147.9);}
+ if ( _flag==3 ) {setProbMax(5000.0);}
+ if ( _flag==4 ) {setProbMax(3000.0);}
+ if ( _flag==5 ) {setProbMax(10000000.0);}
+ if ( _flag==6 ) {setProbMax(50000.0);}
+
+}
+
+void EvtDDalitz::decay( EvtParticle *p){
+
+ static EvtId BP = EvtPDL::getId("B+");
+ static EvtId BM = EvtPDL::getId("B-");
+ static EvtId B0 = EvtPDL::getId("B0");
+ static EvtId B0B = EvtPDL::getId("anti-B0");
+ static EvtId DM=EvtPDL::getId("D-");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ double oneby2 = 0.707106782;
+
+ bool isBToDK=false;
+ if ( p -> getParent () ) {
+ EvtId parId = p -> getParent()->getId ();
+ if ( ( BP == parId ) || ( BM == parId ) || ( B0 == parId ) ||
+ ( B0B == parId ) )
+ if (EvtDecayTable::getDecayFunc(p->getParent())->getName() == "BTODDALITZCPK") isBToDK=true;
+ }
+
+
+//same structure for all of these decays
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ EvtVector4R moms1 = p->getDaug(_d1)->getP4();
+ EvtVector4R moms2 = p->getDaug(_d2)->getP4();
+ EvtVector4R moms3 = p->getDaug(_d3)->getP4();
+
+ EvtVector4R p4_p;
+ p4_p.set(p->mass(),0.0,0.0,0.0);
+
+ EvtComplex amp(1.0,0.0);
+
+//now determine which D and which decay
+
+//data from Anjos et al, Phys.Rev.D 1993, v.48,num.1,p.56 (E691 resuls)
+//for D+ -> K- pi+ pi+, and from Adler et al, Phys.Lett. B196 (1987), 107
+//(Mark III results) for D+ -> K0bar pi+ pi0.
+ //CLEO results for D0->k-pi+pi0
+
+ if ( _flag==1) {
+
+//have a D+ -> K- pi+ pi+ decay, or charge conjugate
+//Anjos etal e691 - Phys Rev D48, 56 (1993)
+ EvtResonance DplusRes11(p4_p,moms1,moms2,0.78,-60.0,0.0498,0.89610,1);
+ EvtResonance DplusRes12(p4_p,moms3,moms1,0.78,-60.0,0.0498,0.89610,1);//K*(892)
+
+ EvtResonance DplusRes21(p4_p,moms1,moms2,0.53,132.0,0.287,1.429,0);
+ EvtResonance DplusRes22(p4_p,moms3,moms1,0.53,132.0,0.287,1.429,0);//K*(1430)
+
+ EvtResonance DplusRes31(p4_p,moms1,moms2,0.47,-51.0,0.323,1.714,1);
+ EvtResonance DplusRes32(p4_p,moms3,moms1,0.47,-51.0,0.323,1.714,1);//K*(1680)
+
+ amp = amp + oneby2*(-DplusRes11.resAmpl()+DplusRes12.resAmpl()) + oneby2*(DplusRes21.resAmpl() + DplusRes22.resAmpl()) + oneby2*(-DplusRes31.resAmpl()+ DplusRes32.resAmpl());
+
+ }
+
+ if ( _flag==2) {
+
+//have a D+ -> K0bar pi+ pi0 decay
+//adler etal MarkIII - Phys Lett B196, 107 (1987)
+// Results in this paper:
+// Kbar rho+ FitFraction = 68+/-8+/-12 Phase 0
+// Kbar* pi+ 19+/-6+/-6 43+/-23
+// nonres 13+/-7+/-8 250+/-19
+// These numbers below seem not to be exactly the same
+// the phases are equiv to -106=254 and 41
+//
+ EvtResonance DplusKpipi0Res1(p4_p,moms2,moms3,1.00,0.00,0.1512,0.7699,1); //rho+
+ EvtResonance DplusKpipi0Res2(p4_p,moms3,moms1,0.8695,0.7191,0.0498,0.89159,1); //K*0
+
+ amp = 0.9522*EvtComplex(cos(-1.8565),sin(-1.8565)) + 1.00*DplusKpipi0Res1.relBrWig(0) + 0.8695*EvtComplex(cos(0.7191),sin(0.7191))*DplusKpipi0Res2.relBrWig(1);
+
+ }
+
+ if(_flag==3) {
+ // D0 -> K0 pi+ pi- + CC
+ // If it does not come from a B->DK, decay it as D0 or D0bar separatly
+ // if p4_p is D0, moms1 is K0, moms2 is pi-, moms3 is pi+
+ // if p4_p is D0bar, moms1 is K0, moms2 is pi+, moms3 is pi-
+
+ if ( isBToDK ) {
+ // Gamma angle in rad.
+ double gamma = EvtDecayTable::getDecayFunc( p->getParent() )
+ -> getArg( 0 ) ;
+ // Strong phase in rad.
+ double delta = EvtDecayTable::getDecayFunc( p->getParent() )
+ -> getArg( 1 ) ;
+ // Ratio between B->D0K and B->D0barK
+ double A = EvtDecayTable::getDecayFunc( p->getParent() )
+ -> getArg( 2 ) ;
+
+ EvtComplex Factor( fabs( A ) * cos ( delta ) ,
+ fabs( A ) * sin ( delta ) ) ;
+
+ if ( ( p->getParent()->getId() == BP ) ||
+ ( p->getParent()->getId() == B0 ) ) {
+ // the ratio D/Dbar
+ Factor = Factor * EvtComplex( cos ( gamma ) , sin ( gamma ) ) ;
+ if ( p->getId() == D0 ) {
+ // the flavor of the particle has no meaning. But we need
+ // it to know which daughter is pi+ or pi-
+ // M( B+ or B0 ) = f(Dbar) + factor * f(D)
+ // f(Dbar) = amplDtoK0PiPi(pD, K0, pi+, pi-)
+ // f(D) = amplDtoK0PiPi(pD, K0, pi-, pi+)
+ // Then ...
+ amp = amplDtoK0PiPi( p4_p , moms1 , moms3 , moms2 ) +
+ Factor * amplDtoK0PiPi( p4_p , moms1 , moms2 , moms3 ) ;
+ }
+ else {
+ amp = amplDtoK0PiPi( p4_p , moms1 , moms2 , moms3 ) +
+ Factor * amplDtoK0PiPi( p4_p , moms1 , moms3 , moms2 ) ;
+ }
+ }
+ else if ( ( p->getParent() -> getId() == BM ) ||
+ ( p->getParent() -> getId() == B0B ) ) {
+ Factor = Factor * EvtComplex( cos ( gamma ) , - sin ( gamma ) ) ;
+ // here M( B- or B0bar ) = f(D) + factor * f(Dbar) then ...
+ if ( p->getId() == D0 ) {
+ amp = amplDtoK0PiPi( p4_p , moms1 , moms2 , moms3 ) +
+ Factor * amplDtoK0PiPi( p4_p , moms1 , moms3 , moms2 ) ;
+ }
+ else {
+ amp = amplDtoK0PiPi( p4_p , moms1 , moms3 , moms2 ) +
+ Factor * amplDtoK0PiPi( p4_p , moms1 , moms2 , moms3 ) ;
+ }
+ }
+ }
+ else {
+ amp = amplDtoK0PiPi( p4_p , moms1 , moms2 , moms3 ) ;
+ }
+ }
+
+
+ if(_flag==4) {
+
+ EvtResonance2 DKpipi0Res1(p4_p,moms2,moms3,1.0 ,0.0 ,0.1507,0.770 ,1); //rho
+ EvtResonance2 DKpipi0Res2(p4_p,moms1,moms2,0.39, -0.2 ,0.0505,0.8961,1); //k*0
+ EvtResonance2 DKpipi0Res3(p4_p,moms1,moms3,0.44, 163.0 ,0.050 ,0.8915,1); //k*-
+
+ EvtResonance2 DKpipi0Res4(p4_p,moms1,moms3,0.77 ,55.5 ,0.294 ,1.412 ,0); //k01430-
+ EvtResonance2 DKpipi0Res5(p4_p,moms1,moms2,0.85 ,166.0 ,0.294 ,1.412 ,0); //k01430bar
+ EvtResonance2 DKpipi0Res6(p4_p,moms2,moms3,2.5 ,171.0 ,0.240 ,1.700 ,1); //rho1700
+ EvtResonance2 DKpipi0Res7(p4_p,moms1,moms3,2.5 ,103.0 ,0.322 ,1.717 ,1); //K*1680-
+
+
+
+ double pi180inv = 1.0/EvtConst::radToDegrees;
+
+ amp = EvtComplex(1.75*cos(31.2*pi180inv),1.75*sin(31.2*pi180inv))
+ + DKpipi0Res1.resAmpl() + DKpipi0Res2.resAmpl() + DKpipi0Res3.resAmpl()
+ + DKpipi0Res4.resAmpl() + DKpipi0Res5.resAmpl()
+ + DKpipi0Res6.resAmpl()
+ + DKpipi0Res7.resAmpl();
+
+ }
+
+ if(_flag==5) {
+
+ // D0 -> K0 K+ K- + CC
+ // If it does not come from a B->DK, decay it as D0 or D0bar separatly
+ // if p4_p is D0, moms1 is K0, moms2 is pi-, moms3 is pi+
+ // if p4_p is D0bar, moms1 is K0, moms2 is pi+, moms3 is pi-
+
+ if ( isBToDK ){
+ // Gamma angle in rad.
+ double gamma = EvtDecayTable::getDecayFunc( p->getParent() )
+ -> getArg( 0 ) ;
+ // Strong phase in rad.
+ double delta = EvtDecayTable::getDecayFunc( p->getParent() )
+ -> getArg( 1 ) ;
+ // Ratio between B->D0K and B->D0barK
+ double A = EvtDecayTable::getDecayFunc( p->getParent() )
+ -> getArg( 2 ) ;
+
+ EvtComplex Factor( fabs( A ) * cos ( delta ) ,
+ fabs( A ) * sin ( delta ) ) ;
+
+ if ( ( p->getParent()->getId() == BP ) ||
+ ( p->getParent()->getId() == B0 ) ) {
+ // the ratio D/Dbar
+ Factor = Factor * EvtComplex( cos ( gamma ) , sin ( gamma ) ) ;
+ if ( p->getId() == D0 ) {
+ // the flavor of the particle has no meaning. But we need
+ // it to know which daughter is pi+ or pi-
+ // M( B+ or B0 ) = f(Dbar) + factor * f(D)
+ // f(Dbar) = amplDtoK0PiPi(pD, K0, K+, K-)
+ // f(D) = amplDtoK0PiPi(pD, K0, K-, K+)
+ // Then ...
+ amp = amplDtoK0KK( p4_p , moms1 , moms3 , moms2 ) +
+ Factor * amplDtoK0KK( p4_p , moms1 , moms2 , moms3 ) ;
+ }
+ else {
+ amp = amplDtoK0KK( p4_p , moms1 , moms2 , moms3 ) +
+ Factor * amplDtoK0KK( p4_p , moms1 , moms3 , moms2 ) ;
+ }
+ }
+ else if ( ( p->getParent() -> getId() == BM ) ||
+ ( p->getParent() -> getId() == B0B ) ) {
+ Factor = Factor * EvtComplex( cos ( gamma ) , - sin ( gamma ) ) ;
+ // here M( B- or B0bar ) = f(D) + factor * f(Dbar) then ...
+ if ( p->getId() == D0 ) {
+ amp = amplDtoK0KK( p4_p , moms1 , moms2 , moms3 ) +
+ Factor * amplDtoK0KK( p4_p , moms1 , moms3 , moms2 ) ;
+ }
+ else {
+ amp = amplDtoK0KK( p4_p , moms1 , moms3 , moms2 ) +
+ Factor * amplDtoK0KK( p4_p , moms1 , moms2 , moms3 ) ;
+ }
+ }
+ }
+ else {
+ amp = amplDtoK0KK( p4_p , moms1 , moms2 , moms3 ) ;
+ }
+ }
+
+
+
+
+ // Ds -> K K pi
+ if(_flag==6) {
+ EvtResonance2 DsKKpiRes1(p4_p, moms3, moms1, 1.0, 0.0, 0.0455, 0.8944, 1, true); // K*(892)
+ EvtResonance2 DsKKpiRes2(p4_p, moms3, moms1, 1.48, 138., 0.290, 1.414, 0); // K*_0(1430)
+ EvtFlatte DsKKpiRes3(p4_p, moms1, moms2, 5.07, 156., 0.965, _kkpi_params); // f_0(980)
+ EvtResonance2 DsKKpiRes4(p4_p, moms1, moms2, 1.15, -10., 0.00426, 1.019455, 1, true); // phi(1020)
+ EvtResonance2 DsKKpiRes5(p4_p, moms1, moms2, 1.28, 53., 0.265, 1.350, 0); // f_0(1370)
+ EvtResonance2 DsKKpiRes6(p4_p, moms1, moms2, 1.19, 87., 0.137, 1.724, 0); // f_0(1710)
+ amp = DsKKpiRes1.resAmpl() + DsKKpiRes2.resAmpl() + DsKKpiRes3.resAmpl()
+ + DsKKpiRes4.resAmpl() + DsKKpiRes5.resAmpl() + DsKKpiRes6.resAmpl();
+
+ }
+
+
+ vertex(amp);
+
+ return ;
+}
+
+EvtComplex EvtDDalitz::amplDtoK0PiPi(EvtVector4R p4_p, EvtVector4R moms1,
+ EvtVector4R moms2, EvtVector4R moms3) {
+
+ //K*(892)-
+ EvtResonance2 DK2piRes1(p4_p,moms1,moms2,1.418,-190.0,0.0508,0.89166,1);
+ //K0*(1430)
+ EvtResonance2 DK2piRes2(p4_p,moms1,moms2,1.818,-337.0,0.294 ,1.412 ,0);
+ //K2*(1430)
+ EvtResonance2 DK2piRes3(p4_p,moms1,moms2,0.909, -5.0,0.0985,1.4256 ,2);
+ //K*(1680)
+ EvtResonance2 DK2piRes4(p4_p,moms1,moms2,5.091,-166.0,0.322 ,1.717 ,1);
+ //DCS K*(892)
+ EvtResonance2 DK2piRes5(p4_p,moms1,moms3,0.100, -19.0,0.0508,0.89166,1);
+
+ //Rho
+ EvtResonance2 DK2piRes6(p4_p,moms3,moms2,0.909,-340.0,0.1502,0.7693,1);
+ //Omega
+ EvtResonance2 DK2piRes7(p4_p,moms3,moms2,.0336,-226.0,0.00844,0.78257,1);
+ //f0(980)
+ EvtResonance2 DK2piRes8(p4_p,moms3,moms2,0.309,-152.0,0.05,0.977,0);
+ //f0(1370)
+ EvtResonance2 DK2piRes9(p4_p,moms3,moms2,1.636,-255.0,0.272,1.31,0);
+ //f2(1270)
+ EvtResonance2 DK2piRes10(p4_p,moms3,moms2,0.636,-32.0,0.1851,1.2754,2);
+
+ return EvtComplex(1.0,0.0) +
+ DK2piRes1.resAmpl() + DK2piRes2.resAmpl() +
+ DK2piRes3.resAmpl() + DK2piRes4.resAmpl() +
+ DK2piRes5.resAmpl() + DK2piRes6.resAmpl() +
+ DK2piRes7.resAmpl() + DK2piRes8.resAmpl() +
+ DK2piRes9.resAmpl() + DK2piRes10.resAmpl();
+}
+
+//
+// BaBar decay amplitudes for D0->Ks K+ K-
+//
+// p4_p is D0
+// moms1 is K0s
+// moms2 is K+
+// moms3 is K-
+// Amplitudes and phases are taken from BaBar hep-ex/0207089
+// with convention : Non Resonant = Amp 1. / Phase 0.
+
+EvtComplex EvtDDalitz::amplDtoK0KK(EvtVector4R p4_p, EvtVector4R moms1,
+ EvtVector4R moms2, EvtVector4R moms3) {
+
+ //phi
+ EvtResonance DK0KKRes1( p4_p, moms2, moms3, 113.75, -40.0, 0.0043,
+ 1.019456, 1 ) ;
+ //a0(980)
+ EvtResonance DK0KKRes2( p4_p, moms2, moms3, 152.25, 69.0, 0.1196 , 0.9847,
+ 0 ) ;
+ //f0(980)
+ EvtResonance DK0KKRes3( p4_p, moms2, moms3, 30.5, -201.0, 0.05, 0.980 ,
+ 0 ) ;
+ //a0(980)+
+ EvtResonance DK0KKRes4( p4_p, moms1, moms2, 85.75, -93.0, 0.1196 , 0.9847,
+ 0 ) ;
+ //a0(980)-
+ EvtResonance DK0KKRes5( p4_p, moms3, moms1, 8. , -53.0 ,0.1196, 0.9847,
+ 0 ) ;
+
+ return EvtComplex(1.0,0.0) +
+ DK0KKRes1.resAmpl() + DK0KKRes2.resAmpl() +
+ DK0KKRes3.resAmpl() + DK0KKRes4.resAmpl() +
+ DK0KKRes5.resAmpl() ;
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtDDalitz.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDDALITZ_HH
+#define EVTDDALITZ_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtFlatte.hh"
+#include <vector>
+
+class EvtParticle;
+
+class EvtDDalitz:public EvtDecayAmp {
+
+public:
+
+ EvtDDalitz() {}
+ virtual ~EvtDDalitz();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+private:
+
+ int _d1,_d2,_d3,_flag;
+
+ EvtComplex amplDtoK0PiPi(EvtVector4R p4_p, EvtVector4R moms1,
+ EvtVector4R moms2, EvtVector4R moms3);
+ EvtComplex amplDtoK0KK(EvtVector4R p4_p, EvtVector4R moms1,
+ EvtVector4R moms2, EvtVector4R moms3);
+
+ vector<EvtFlatteParam> _kkpi_params;
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtDMix.cc
+//
+// Description: Routine to decay a particle according th phase space
+//
+// Modification history:
+//
+// RYD January 8, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtDMix.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include <string>
+
+EvtDMix::~EvtDMix() {}
+
+std::string EvtDMix::getName(){
+
+ return "DMIX";
+
+}
+
+EvtDecayBase* EvtDMix::clone(){
+
+ return new EvtDMix;
+
+}
+
+
+void EvtDMix::init(){
+
+ // check that there are 0 arguments
+ checkNArg(3);
+ _rd=getArg(0);
+ _xpr=getArg(1);
+ _ypr=getArg(2);
+}
+
+void EvtDMix::initProbMax(){
+
+ noProbMax();
+
+}
+
+void EvtDMix::decay( EvtParticle *p ){
+
+ //unneeded - lange - may13-02
+ //if ( p->getNDaug() != 0 ) {
+ //Will end up here because maxrate multiplies by 1.2
+ // report(DEBUG,"EvtGen") << "In EvtDMix: has "
+ // <<" daugthers should not be here!"<<endl;
+ // return;
+ //}
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ double ctau=EvtPDL::getctau(p->getId());
+ if ( ctau==0. ) return;
+
+
+ double pdf, random, gt, weight;
+
+ double maxPdf=_rd + sqrt(_rd)*_ypr*50. + 2500.0*(_xpr*_xpr+_ypr*_ypr)/4.0;
+ bool keepGoing=true;
+ while ( keepGoing ) {
+ random=EvtRandom::Flat();
+ gt=-log(random);
+ weight=random;
+ pdf=_rd + sqrt(_rd)*_ypr*gt + gt*gt*(_xpr*_xpr+_ypr*_ypr)/4.0;
+ pdf*=exp(-1.0*gt);
+ pdf/=weight;
+ if ( pdf > maxPdf )
+ std::cout << pdf << " " << weight << " " << maxPdf << " " << gt << std::endl;
+ if ( pdf > maxPdf*EvtRandom::Flat()) keepGoing=false;
+ }
+
+
+ p->setLifetime(gt*ctau);
+
+ return ;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPhsp.hh
+//
+// Description:
+//Class to handle generic phase space decays not done
+//in other decay models.
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTDMIX_HH
+#define EVTDMIX_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+class EvtDMix:public EvtDecayIncoherent {
+
+public:
+
+ EvtDMix() {}
+ virtual ~EvtDMix();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+private:
+ double _rd;
+ double _xpr;
+ double _ypr;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtEtaDalitz.cc
+//
+// Description: Routine to decay eta -> pi+ pi- pi0
+//
+// Modification history:
+//
+// DJL/RYD July 23, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtEtaDalitz.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+
+EvtEtaDalitz::~EvtEtaDalitz() {}
+
+std::string EvtEtaDalitz::getName(){
+
+ return "ETA_DALITZ";
+
+}
+
+
+EvtDecayBase* EvtEtaDalitz::clone(){
+
+ return new EvtEtaDalitz;
+
+}
+
+void EvtEtaDalitz::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+}
+
+
+void EvtEtaDalitz::initProbMax(){
+
+ setProbMax(2.1);
+
+}
+
+void EvtEtaDalitz::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtVector4R mompi0 = p->getDaug(2)->getP4();
+ double masspip = p->getDaug(0)->mass();
+ double masspim = p->getDaug(1)->mass();
+ double masspi0 = p->getDaug(2)->mass();
+ double m_eta = p->mass();
+
+ double y;
+
+ //The decay amplitude coems from Layter et al PRD 7 2565 (1973).
+
+ y=(mompi0.get(0)-masspi0)*(3.0/(m_eta-masspip-masspim-masspi0))-1.0;
+
+ EvtComplex amp(sqrt(1.0-1.07*y),0.0);
+
+ vertex(amp);
+
+ return ;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtEtaDalitz.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTETADALITZ_HH
+#define EVTETADALITZ_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtEtaDalitz:public EvtDecayAmp {
+
+public:
+
+ EvtEtaDalitz() {}
+ virtual ~EvtEtaDalitz();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtFlatQ2.cc
+//
+// Description: B->Xu l nu with flat q2 distribution
+//
+// Modification history:
+//
+// David Cote, U. de Montreal, 11/02/2003 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenModels/EvtFlatQ2.hh"
+
+#include <stdlib.h>
+#include <fstream>
+#include <stdio.h>
+#include <string>
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+using std::fstream;
+
+EvtFlatQ2::~EvtFlatQ2() {}
+
+std::string EvtFlatQ2::getName(){
+
+ return "FLATQ2";
+
+}
+
+EvtDecayBase* EvtFlatQ2::clone(){
+
+ return new EvtFlatQ2;
+
+}
+
+
+void EvtFlatQ2::initProbMax(){
+
+ setProbMax(100);
+
+}
+
+
+void EvtFlatQ2::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ //We expect B->X l nu events
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+}
+
+
+void EvtFlatQ2::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtVector4R p4Xu = p->getDaug(0)->getP4();
+ double pXu_x2=p4Xu.get(1)*p4Xu.get(1);
+ double pXu_y2=p4Xu.get(2)*p4Xu.get(2);
+ double pXu_z2=p4Xu.get(3)*p4Xu.get(3);
+ double pXu = sqrt(pXu_x2+pXu_y2+pXu_z2);
+ double prob=1/pXu;
+
+ if(pXu>0.01) setProb(prob);
+
+ return;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtFlatQ2.hh
+//
+// Description: B->Xu l nu with flat q2 distribution
+//
+// Modification history:
+//
+// David Cote, U. de Montreal, 11/02/2003 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTFLATQ2_HH
+#define EVTFLATQ2_HH
+
+#include "EvtGenBase/EvtDecayProb.hh"
+
+class EvtParticle;
+
+class EvtFlatQ2: public EvtDecayProb {
+
+public:
+
+ EvtFlatQ2() {}
+ virtual ~EvtFlatQ2();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+};
+
+#endif
+
--- /dev/null
+#ifdef __CINT__
+
+#pragma link off all globals;
+#pragma link off all classes;
+#pragma link off all functions;
+
+#endif
--- /dev/null
+#ifdef __CINT__
+
+#pragma link off all globals;
+#pragma link off all classes;
+#pragma link off all functions;
+#pragma link C++ class EvtBBScalar+;
+#pragma link C++ class EvtBHadronic+;
+#pragma link C++ class EvtBTo3piCP+;
+#pragma link C++ class EvtBTo4piCP+;
+#pragma link C++ class EvtBToKpipiCP+;
+#pragma link C++ class EvtBToPlnuBK+;
+#pragma link C++ class EvtBToPlnuBKFF+;
+#pragma link C++ class EvtBToVlnuBall+;
+#pragma link C++ class EvtBToVlnuBallFF+;
+#pragma link C++ class EvtBsquark+;
+#pragma link C++ class EvtBto2piCPiso+;
+#pragma link C++ class EvtBtoKD3P+;
+#pragma link C++ class EvtBtoKpiCPiso+;
+#pragma link C++ class EvtBtoXsEtap+;
+#pragma link C++ class EvtBtoXsgamma+;
+#pragma link C++ class EvtBtoXsgammaAbsModel+;
+#pragma link C++ class EvtBtoXsgammaAliGreub+;
+#pragma link C++ class EvtBtoXsgammaFermiUtil+;
+#pragma link C++ class EvtBtoXsgammaFixedMass+;
+#pragma link C++ class EvtBtoXsgammaFlatEnergy+;
+#pragma link C++ class EvtBtoXsgammaKagan+;
+#pragma link C++ class EvtBtoXsgammaRootFinder+;
+#pragma link C++ class EvtBtoXsll+;
+#pragma link C++ class EvtBtoXsllUtil+;
+#pragma link C++ class EvtCBTo3piMPP+;
+#pragma link C++ class EvtCBTo3piP00+;
+#pragma link C++ class EvtD0mixDalitz+;
+#pragma link C++ class EvtDDalitz+;
+#pragma link C++ class EvtDMix+;
+#pragma link C++ class EvtEtaDalitz+;
+#pragma link C++ class EvtFlatQ2+;
+#pragma link C++ class EvtGoityRoberts+;
+#pragma link C++ class EvtHQET+;
+#pragma link C++ class EvtHQET2+;
+#pragma link C++ class EvtHQET2FF+;
+#pragma link C++ class EvtHQETFF+;
+#pragma link C++ class EvtHelAmp+;
+#pragma link C++ class EvtHypNonLepton+;
+#pragma link C++ class EvtISGW+;
+#pragma link C++ class EvtISGW2+;
+#pragma link C++ class EvtISGW2FF+;
+#pragma link C++ class EvtISGWFF+;
+#pragma link C++ class EvtItgAbsFunction+;
+#pragma link C++ class EvtItgAbsIntegrator+;
+#pragma link C++ class EvtItgFourCoeffFcn+;
+#pragma link C++ class EvtItgFunction+;
+#pragma link C++ class EvtItgPtrFunction+;
+#pragma link C++ class EvtItgSimpsonIntegrator+;
+#pragma link C++ class EvtItgThreeCoeffFcn+;
+#pragma link C++ class EvtItgTwoCoeffFcn+;
+#pragma link C++ class EvtJetSet+;
+#pragma link C++ class EvtJetSetCDF+;
+#pragma link C++ class EvtJscont+;
+#pragma link C++ class EvtJscontCDF+;
+#pragma link C++ class EvtKKLambdaC+;
+#pragma link C++ class EvtKKLambdaCFF+;
+#pragma link C++ class EvtKstarnunu+;
+#pragma link C++ class EvtKstarstargamma+;
+#pragma link C++ class EvtLNuGamma+;
+#pragma link C++ class EvtLambdaP_BarGamma+;
+#pragma link C++ class EvtLb2Lll+;
+#pragma link C++ class EvtMelikhov+;
+#pragma link C++ class EvtMelikhovFF+;
+#pragma link C++ class EvtModelReg+;
+#pragma link C++ class EvtMultibody+;
+#pragma link C++ class EvtOmegaDalitz+;
+#pragma link C++ class EvtPFermi+;
+#pragma link C++ class EvtPHOTOS+;
+#pragma link C++ class EvtPartWave+;
+#pragma link C++ class EvtPhiDalitz+;
+#pragma link C++ class EvtPhsp+;
+#pragma link C++ class EvtPi0Dalitz+;
+#pragma link C++ class EvtPropSLPole+;
+#pragma link C++ class EvtPto3P+;
+#pragma link C++ class EvtPyGaGa+;
+#pragma link C++ class EvtPycont+;
+#pragma link C++ class EvtPythia+;
+#pragma link C++ class EvtSLBKPole+;
+#pragma link C++ class EvtSLBKPoleFF+;
+#pragma link C++ class EvtSLN+;
+#pragma link C++ class EvtSLPole+;
+#pragma link C++ class EvtSLPoleFF+;
+#pragma link C++ class EvtSSDCP+;
+#pragma link C++ class EvtSSSCP+;
+#pragma link C++ class EvtSSSCPT+;
+#pragma link C++ class EvtSSSCPpng+;
+#pragma link C++ class EvtSTS+;
+#pragma link C++ class EvtSTSCP+;
+#pragma link C++ class EvtSVPCP+;
+#pragma link C++ class EvtSVPHelAmp+;
+#pragma link C++ class EvtSVS+;
+#pragma link C++ class EvtSVSCP+;
+#pragma link C++ class EvtSVSCPLH+;
+#pragma link C++ class EvtSVSCPiso+;
+#pragma link C++ class EvtSVSNONCPEIGEN+;
+#pragma link C++ class EvtSVVCP+;
+#pragma link C++ class EvtSVVCPLH+;
+#pragma link C++ class EvtSVVHelAmp+;
+#pragma link C++ class EvtSVVHelCPMix+;
+#pragma link C++ class EvtSVVNONCPEIGEN+;
+#pragma link C++ class EvtSingleParticle+;
+#pragma link C++ class EvtSll+;
+#pragma link C++ class EvtTSS+;
+#pragma link C++ class EvtTVSPwave+;
+#pragma link C++ class EvtTauHadnu+;
+#pragma link C++ class EvtTauScalarnu+;
+#pragma link C++ class EvtTauVectornu+;
+#pragma link C++ class EvtTaulnunu+;
+#pragma link C++ class EvtVPHOtoV+;
+#pragma link C++ class EvtVPHOtoVISR+;
+#pragma link C++ class EvtVPHOtoVISRHi+;
+#pragma link C++ class EvtVSPPwave+;
+#pragma link C++ class EvtVSS+;
+#pragma link C++ class EvtVSSBMixCPT+;
+#pragma link C++ class EvtVSSMix+;
+#pragma link C++ class EvtVVP+;
+#pragma link C++ class EvtVVPIPI_WEIGHTED+;
+#pragma link C++ class EvtVVSPwave+;
+#pragma link C++ class EvtVVpipi+;
+#pragma link C++ class EvtVectorIsr+;
+#pragma link C++ class EvtVll+;
+#pragma link C++ class EvtVtoSll+;
+#pragma link C++ class EvtVub+;
+#pragma link C++ class EvtVubAC+;
+#pragma link C++ class EvtVubBLNP+;
+#pragma link C++ class EvtVubBLNPHybrid+;
+#pragma link C++ class EvtVubHybrid+;
+#pragma link C++ class EvtVubNLO+;
+#pragma link C++ class EvtVubdGamma+;
+#pragma link C++ class EvtWilsonCoeficients+;
+#pragma link C++ class EvtY3SToY1SpipiMoxhay+;
+#pragma link C++ class EvtYmSToYnSpipiCLEO+;
+#pragma link C++ class EvtbTosllAli+;
+#pragma link C++ class EvtbTosllAliFF+;
+#pragma link C++ class EvtbTosllAmp+;
+#pragma link C++ class EvtbTosllBall+;
+#pragma link C++ class EvtbTosllBallFF+;
+#pragma link C++ class EvtbTosllScalarAmp+;
+#pragma link C++ class EvtbTosllVectorAmp+;
+//#pragma link C++ class rly+;
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGoityRoberts.cc
+//
+// Description: Routine to decay vector-> scalar scalar
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtGoityRoberts.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtGoityRoberts::~EvtGoityRoberts() {}
+
+std::string EvtGoityRoberts::getName(){
+
+ return "GOITY_ROBERTS";
+
+}
+
+
+EvtDecayBase* EvtGoityRoberts::clone(){
+
+ return new EvtGoityRoberts;
+
+}
+
+void EvtGoityRoberts::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(4);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::DIRAC);
+ checkSpinDaughter(3,EvtSpinType::NEUTRINO);
+
+}
+
+
+void EvtGoityRoberts::initProbMax() {
+
+ setProbMax( 3000.0);
+}
+
+void EvtGoityRoberts::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+
+
+ EvtId meson=getDaug(0);
+
+ if (meson==DST0||meson==DSTP||meson==DSTM||meson==DSTB) {
+ DecayBDstarpilnuGR(p,getDaug(0),getDaug(2),getDaug(3));
+ }
+ else{
+ if (meson==D0||meson==DP||meson==DM||meson==D0B) {
+ DecayBDpilnuGR(p,getDaug(0),getDaug(2),getDaug(3));
+ }
+ else{
+ report(ERROR,"EvtGen") << "Wrong daugther in EvtGoityRoberts!\n";
+ }
+ }
+ return ;
+}
+
+void EvtGoityRoberts::DecayBDstarpilnuGR(EvtParticle *pb,EvtId ndstar,
+ EvtId nlep, EvtId nnu)
+{
+
+ pb->initializePhaseSpace(getNDaug(),getDaugs());
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+
+ EvtParticle *dstar, *pion, *lepton, *neutrino;
+
+ // pb->makeDaughters(getNDaug(),getDaugs());
+ dstar=pb->getDaug(0);
+ pion=pb->getDaug(1);
+ lepton=pb->getDaug(2);
+ neutrino=pb->getDaug(3);
+
+ EvtVector4C l1, l2, et0, et1, et2;
+
+ EvtVector4R v,vp,p4_pi;
+ double w;
+
+ v.set(1.0,0.0,0.0,0.0); //4-velocity of B meson
+ vp=(1.0/dstar->getP4().mass())*dstar->getP4(); //4-velocity of D*
+ p4_pi=pion->getP4();
+
+ w=v*vp; //four velocity transfere.
+
+ EvtTensor4C omega;
+
+ double mb=EvtPDL::getMeanMass(pb->getId()); //B mass
+ double md=EvtPDL::getMeanMass(ndstar); //D* mass
+
+ EvtComplex dmb(0.0460,-0.5*0.00001); // B*-B mass splitting ?
+ EvtComplex dmd(0.1421,-0.5*0.00006);
+ // The last two sets of numbers should
+ // be correctly calculated from the
+ // dstar and pion charges.
+ double g = 0.5; // EvtAmplitude proportional to these coupling constants
+ double alpha3 = 0.690; // See table I in G&R's paper
+ double alpha1 = -1.430;
+ double alpha2 = -0.140;
+ double f0 = 0.093; // The pion decay constants set to 93 MeV
+
+ EvtComplex dmt3(0.563,-0.5*0.191); // Mass splitting = dmt - iGamma/2
+ EvtComplex dmt1(0.392,-0.5*1.040);
+ EvtComplex dmt2(0.709,-0.5*0.405);
+
+ double betas=0.285; // magic number for meson wave function ground state
+ double betap=0.280; // magic number for meson wave function state "1"
+ double betad=0.260; // magic number for meson wave function state "2"
+ double betasp=betas*betas+betap*betap;
+ double betasd=betas*betas+betad*betad;
+
+ double lambdabar=0.750; //M(0-,1-) - mQ From Goity&Roberts's code
+
+// Isgur&Wise fct
+ double xi = exp(lambdabar*lambdabar*(1.0-w*w)/(4*betas*betas));
+ double xi1= -1.0*sqrt(2.0/3.0)*(
+ lambdabar*lambdabar*(w*w-1.0)/(4*betas*betas))*
+ exp(lambdabar*lambdabar*(1.0-w*w)/(4*betas*betas));
+ double rho1= sqrt(1.0/2.0)*(lambdabar/betas)*
+ pow((2*betas*betap/(betasp)),2.5)*
+ exp(lambdabar*lambdabar*(1.0-w*w)/(2*betasp));
+ double rho2= sqrt(1.0/8.0)*(lambdabar*lambdabar/(betas*betas))*
+ pow((2*betas*betad/(betasd)),3.5)*
+ exp(lambdabar*lambdabar*(1.0-w*w)/(2*betasd));
+
+ //report(INFO,"EvtGen") <<"rho's:"<<rho1<<rho2<<endl;
+
+ EvtComplex h1nr,h2nr,h3nr,f1nr,f2nr;
+ EvtComplex f3nr,f4nr,f5nr,f6nr,knr,g1nr,g2nr,g3nr,g4nr,g5nr;
+ EvtComplex h1r,h2r,h3r,f1r,f2r,f3r,f4r,f5r,f6r,kr,g1r,g2r,g3r,g4r,g5r;
+ EvtComplex h1,h2,h3,f1,f2,f3,f4,f5,f6,k,g1,g2,g3,g4,g5;
+
+ // Non-resonance part
+ h1nr = -g*xi*(p4_pi*v)/(f0*mb*md*(EvtComplex(p4_pi*v,0.0)+dmb));
+ h2nr = -g*xi/(f0*mb*(EvtComplex(p4_pi*v,0.0)+dmb));
+ h3nr = -(g*xi/(f0*md))*(1.0/(EvtComplex(p4_pi*v,0.0)+dmb)
+ -EvtComplex((1.0+w)/(p4_pi*vp),0.0));
+
+ f1nr = -(g*xi/(2*f0*mb))*(1.0/(EvtComplex(p4_pi*v,0.0)+dmb) -
+ 1.0/(EvtComplex(p4_pi*vp,0.0)+dmd));
+ f2nr = f1nr*mb/md;
+ f3nr = EvtComplex(0.0);
+ f4nr = EvtComplex(0.0);
+ f5nr = (g*xi/(2*f0*mb*md))*(EvtComplex(1.0,0.0)
+ +(p4_pi*v)/(EvtComplex(p4_pi*v,0.0)+dmb));
+ f6nr = (g*xi/(2*f0*mb))*(1.0/(EvtComplex(p4_pi*v,0.0)+dmb)
+ -EvtComplex(1.0/(p4_pi*vp),0.0));
+
+ knr = (g*xi/(2*f0))*((p4_pi*(vp-w*v))/(EvtComplex(p4_pi*v,0.0)+dmb) +
+ EvtComplex((p4_pi*(v-w*vp))/(p4_pi*vp),0.0));
+
+ g1nr = EvtComplex(0.0);
+ g2nr = EvtComplex(0.0);
+ g3nr = EvtComplex(0.0);
+ g4nr = (g*xi)/(f0*md*EvtComplex(p4_pi*vp));
+ g5nr = EvtComplex(0.0);
+
+ // Resonance part (D** removed by hand - alainb)
+ h1r = -alpha1*rho1*(p4_pi*v)/(f0*mb*md*(EvtComplex(p4_pi*v,0.0)+dmt1)) +
+ alpha2*rho2*(p4_pi*(v+2.0*w*v-vp))
+ /(3*f0*mb*md*(EvtComplex(p4_pi*v,0.0)+dmt2)) -
+ alpha3*xi1*(p4_pi*v)/(f0*mb*md*EvtComplex(p4_pi*v,0.0)+dmt3);
+ h2r = -alpha2*(1+w)*rho2/(3*f0*mb*(EvtComplex(p4_pi*v,0.0)+dmt2)) -
+ alpha3*xi1/(f0*mb*(EvtComplex(p4_pi*v,0.0)+dmt3));
+ h3r = alpha2*rho2*(1+w)/(3*f0*md*(EvtComplex(p4_pi*v,0.0)+dmt2)) -
+ alpha3*xi1/(f0*md*(EvtComplex(p4_pi*v,0.0)+dmt3));
+
+ f1r = -alpha2*rho2*(w-1.0)/(6*f0*mb*(EvtComplex(p4_pi*v,0.0)+dmt2)) -
+ alpha3*xi1/(2*f0*mb*(EvtComplex(p4_pi*v,0.0)+dmt3));
+ f2r = f1r*mb/md;
+ f3r = EvtComplex(0.0);
+ f4r = EvtComplex(0.0);
+ f5r = alpha1*rho1*(p4_pi*v)/(2*f0*mb*md*(EvtComplex(p4_pi*v,0.0)+dmt1)) +
+ alpha2*rho2*(p4_pi*(vp-v/3.0-2.0/3.0*w*v))/
+ (2*f0*mb*md*(EvtComplex(p4_pi*v,0.0)+dmt2)) +
+ alpha3*xi1*(p4_pi*v)/(2*f0*mb*md*(EvtComplex(p4_pi*v,0.0)+dmt3));
+ f6r = alpha2*rho2*(w-1.0)/(6*f0*mb*(EvtComplex(p4_pi*v,0.0)+dmt2)) +
+ alpha3*xi1/(2*f0*mb*(EvtComplex(p4_pi*v,0.0)+dmt3));
+
+ kr = -alpha1*rho1*(w-1.0)*(p4_pi*v)/(2*f0*(EvtComplex(p4_pi*v,0.0)+dmt1)) -
+ alpha2*rho2*(w-1.0)*(p4_pi*(vp-w*v))
+ /(3*f0*(EvtComplex(p4_pi*v,0.0)+dmt2)) +
+ alpha3*xi1*(p4_pi*(vp-w*v))/(2*f0*(EvtComplex(p4_pi*v,0.0)+dmt3));
+
+ g1r = EvtComplex(0.0);
+ g2r = EvtComplex(0.0);
+ g3r = -g2r;
+ g4r = 2.0*alpha2*rho2/(3*f0*md*(EvtComplex(p4_pi*v,0.0)+dmt2));
+ g5r = EvtComplex(0.0);
+
+ //Sum
+ h1 = h1nr + h1r;
+ h2 = h2nr + h2r;
+ h3 = h3nr + h3r;
+
+ f1 = f1nr + f1r;
+ f2 = f2nr + f2r;
+ f3 = f3nr + f3r;
+ f4 = f4nr + f4r;
+ f5 = f5nr + f5r;
+ f6 = f6nr + f6r;
+
+ k = knr+kr;
+
+ g1 = g1nr + g1r;
+ g2 = g2nr + g2r;
+ g3 = g3nr + g3r;
+ g4 = g4nr + g4r;
+ g5 = g5nr + g5r;
+
+ EvtTensor4C g_metric;
+ g_metric.setdiag(1.0,-1.0,-1.0,-1.0);
+
+ if (nlep==EM||nlep==MUM){
+ omega=EvtComplex(0.0,0.5)*dual(h1*mb*md*directProd(v,vp)+
+ h2*mb*directProd(v,p4_pi)+
+ h3*md*directProd(vp,p4_pi))+
+ f1*mb*directProd(v,p4_pi)+f2*md*directProd(vp,p4_pi)+
+ f3*directProd(p4_pi,p4_pi)+f4*mb*mb*directProd(v,v)+
+ f5*mb*md*directProd(vp,v)+f6*mb*directProd(p4_pi,v)+k*g_metric+
+ EvtComplex(0.0,0.5)*directProd(dual(directProd(vp,p4_pi)).cont2(v),
+ (g1*p4_pi+g2*mb*v))+
+ EvtComplex(0.0,0.5)*directProd((g3*mb*v+g4*md*vp+g5*p4_pi),
+ dual(directProd(vp,p4_pi)).cont2(v));
+
+ l1=EvtLeptonVACurrent(lepton->spParent(0),neutrino->spParentNeutrino());
+ l2=EvtLeptonVACurrent(lepton->spParent(1),neutrino->spParentNeutrino());
+ }
+ else{
+ if (nlep==EP||nlep==MUP){
+ omega=EvtComplex(0.0,-0.5)*dual(h1*mb*md*directProd(v,vp)+
+ h2*mb*directProd(v,p4_pi)+
+ h3*md*directProd(vp,p4_pi))+
+ f1*mb*directProd(v,p4_pi)+f2*md*directProd(vp,p4_pi)+
+ f3*directProd(p4_pi,p4_pi)+f4*mb*mb*directProd(v,v)+
+ f5*mb*md*directProd(vp,v)+f6*mb*directProd(p4_pi,v)+k*g_metric+
+ EvtComplex(0.0,-0.5)*directProd(dual(directProd(vp,p4_pi)).cont2(v),
+ (g1*p4_pi+g2*mb*v))+
+ EvtComplex(0.0,-0.5)*directProd((g3*mb*v+g4*md*vp+g5*p4_pi),
+ dual(directProd(vp,p4_pi)).cont2(v));
+
+ l1=EvtLeptonVACurrent(neutrino->spParentNeutrino(),lepton->spParent(0));
+ l2=EvtLeptonVACurrent(neutrino->spParentNeutrino(),lepton->spParent(1));
+ }
+ else{
+ report(DEBUG,"EvtGen") << "42387dfs878w wrong lepton number\n";
+ }
+ }
+
+ et0=omega.cont2( dstar->epsParent(0).conj() );
+ et1=omega.cont2( dstar->epsParent(1).conj() );
+ et2=omega.cont2( dstar->epsParent(2).conj() );
+
+ vertex(0,0,l1.cont(et0));
+ vertex(0,1,l2.cont(et0));
+
+ vertex(1,0,l1.cont(et1));
+ vertex(1,1,l2.cont(et1));
+
+ vertex(2,0,l1.cont(et2));
+ vertex(2,1,l2.cont(et2));
+
+ return;
+
+}
+
+void EvtGoityRoberts::DecayBDpilnuGR(EvtParticle *pb,EvtId nd,
+ EvtId nlep, EvtId nnu)
+
+{
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+
+ EvtParticle *d, *pion, *lepton, *neutrino;
+
+ pb->initializePhaseSpace(getNDaug(),getDaugs());
+ d=pb->getDaug(0);
+ pion=pb->getDaug(1);
+ lepton=pb->getDaug(2);
+ neutrino=pb->getDaug(3);
+
+ EvtVector4C l1, l2, et0, et1, et2;
+
+ EvtVector4R v,vp,p4_pi;
+ double w;
+
+ v.set(1.0,0.0,0.0,0.0); //4-velocity of B meson
+ vp=(1.0/d->getP4().mass())*d->getP4(); //4-velocity of D
+ p4_pi=pion->getP4(); //4-momentum of pion
+ w=v*vp; //four velocity transfer.
+
+ double mb=EvtPDL::getMeanMass(pb->getId()); //B mass
+ double md=EvtPDL::getMeanMass(nd); //D* mass
+ EvtComplex dmb(0.0460,-0.5*0.00001); //B mass splitting ?
+ //The last two numbers should be
+ //correctly calculated from the
+ //dstar and pion particle number.
+
+ double g = 0.5; // Amplitude proportional to these coupling constants
+ double alpha3 = 0.690; // See table I in G&R's paper
+ double alpha1 = -1.430;
+ double alpha2 = -0.140;
+ double f0=0.093; // The pion decay constant set to 93 MeV
+
+ EvtComplex dmt3(0.563,-0.5*0.191); // Mass splitting = dmt - iGamma/2
+ EvtComplex dmt1(0.392,-0.5*1.040);
+ EvtComplex dmt2(0.709,-0.5*0.405);
+
+ double betas=0.285; // magic number for meson wave function ground state
+ double betap=0.280; // magic number for meson wave function state "1"
+ double betad=0.260; // magic number for meson wave function state "2"
+ double betasp=betas*betas+betap*betap;
+ double betasd=betas*betas+betad*betad;
+
+ double lambdabar=0.750; //M(0-,1-) - mQ From Goity&Roberts's code
+
+ // Isgur&Wise fct
+ double xi = exp(lambdabar*lambdabar*(1.0-w*w)/(4*betas*betas));
+ double xi1= -1.0*sqrt(2.0/3.0)*(lambdabar*lambdabar*(w*w-1.0)/(4*betas*betas))*
+ exp(lambdabar*lambdabar*(1.0-w*w)/(4*betas*betas));
+ double rho1= sqrt(1.0/2.0)*(lambdabar/betas)*
+ pow((2*betas*betap/(betasp)),2.5)*
+ exp(lambdabar*lambdabar*(1.0-w*w)/(2*betasp));
+ double rho2= sqrt(1.0/8.0)*(lambdabar*lambdabar/(betas*betas))*
+ pow((2*betas*betad/(betasd)),3.5)*
+ exp(lambdabar*lambdabar*(1.0-w*w)/(2*betasd));
+
+ EvtComplex h,a1,a2,a3;
+ EvtComplex hnr,a1nr,a2nr,a3nr;
+ EvtComplex hr,a1r,a2r,a3r;
+
+// Non-resonance part (D* and D** removed by hand - alainb)
+ hnr = g*xi*(1.0/(EvtComplex(p4_pi*v,0.0)+dmb))/(2*f0*mb*md);
+ a1nr= -1.0*g*xi*(1+w)*(1.0/(EvtComplex(p4_pi*v,0.0)+dmb))/(2*f0);
+ a2nr= g*xi*((p4_pi*(v+vp))/(EvtComplex(p4_pi*v,0.0)+dmb))/(2*f0*mb);
+ a3nr=EvtComplex(0.0,0.0);
+
+// Resonance part (D** remove by hand - alainb)
+ hr = alpha2*rho2*(w-1)*(1.0/(EvtComplex(p4_pi*v,0.0)+dmt2))/(6*f0*mb*md) +
+ alpha3*xi1*(1.0/(EvtComplex(p4_pi*v,0.0)+dmt3))/(2*f0*mb*md);
+ a1r= -1.0*alpha2*rho2*(w*w-1)*(1.0/(EvtComplex(p4_pi*v,0.0)+dmt2))/(6*f0) -
+ alpha3*xi1*(1+w)*(1.0/(EvtComplex(p4_pi*v,0.0)+dmt3))/(2*f0);
+ a2r= alpha1*rho1*((p4_pi*v)/(EvtComplex(p4_pi*v,0.0)+dmt1))/(2*f0*mb) +
+ alpha2*rho2*(0.5*p4_pi*(w*vp-v)+p4_pi*(vp-w*v))/
+ (3*f0*mb*(EvtComplex(p4_pi*v,0.0)+dmt2)) +
+ alpha3*xi1*((p4_pi*(v+vp))/(EvtComplex(p4_pi*v,0.0)+dmt3))/(2*f0*mb);
+ a3r= -1.0*alpha1*rho1*((p4_pi*v)/(EvtComplex(p4_pi*v,0.0)+dmt1))/(2*f0*md) -
+ alpha2*rho2*((p4_pi*(vp-w*v))/(EvtComplex(p4_pi*v,0.0)+dmt2))/(2*f0*md);
+
+// Sum
+ h=hnr+hr;
+ a1=a1nr+a1r;
+ a2=a2nr+a2r;
+ a3=a3nr+a3r;
+
+ EvtVector4C omega;
+
+ if ( nlep==EM|| nlep==MUM ) {
+ omega=EvtComplex(0.0,-1.0)*h*mb*md*dual(directProd(vp,p4_pi)).cont2(v)+
+ a1*p4_pi+a2*mb*v+a3*md*vp;
+ l1=EvtLeptonVACurrent(
+ lepton->spParent(0),neutrino->spParentNeutrino());
+ l2=EvtLeptonVACurrent(
+ lepton->spParent(1),neutrino->spParentNeutrino());
+ }
+ else{
+ if ( nlep==EP|| nlep==MUP ) {
+ omega=EvtComplex(0.0,1.0)*h*mb*md*dual(directProd(vp,p4_pi)).cont2(v)+
+ a1*p4_pi+a2*mb*v+a3*md*vp;
+ l1=EvtLeptonVACurrent(
+ neutrino->spParentNeutrino(),lepton->spParent(0));
+ l2=EvtLeptonVACurrent(
+ neutrino->spParentNeutrino(),lepton->spParent(1));
+ }
+ else{
+ report(ERROR,"EvtGen") << "42387dfs878w wrong lepton number\n";
+ }
+ }
+
+ vertex(0,l1*omega);
+ vertex(1,l2*omega);
+
+return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtGoityRoberts.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTGOITYROBERTS_HH
+#define EVTGOITYROBERTS_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+class EvtId;
+
+class EvtGoityRoberts:public EvtDecayAmp {
+
+public:
+
+ EvtGoityRoberts() {}
+ virtual ~EvtGoityRoberts();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void decay(EvtParticle *p);
+ void initProbMax();
+
+ private:
+
+ void DecayBDstarpilnuGR(EvtParticle *pb,EvtId ndstar,
+ EvtId nlep, EvtId nnu);
+
+ void DecayBDpilnuGR(EvtParticle *pb,EvtId nd,
+ EvtId nlep, EvtId nnu);
+
+
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtHQET.cc
+//
+// Description: Routine to implement semileptonic B->D*lnu decays according
+// to the model HQET
+//
+// Lange Nov9/01 adding Dlnu and possible (w-1)^2 term
+//
+//
+// Modification history:
+//
+// DJL April 20, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <assert.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtHQET.hh"
+#include "EvtGenModels/EvtHQETFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include <string>
+using std::endl;
+
+EvtHQET::EvtHQET():
+ hqetffmodel(0)
+ ,calcamp(0)
+{}
+
+EvtHQET::~EvtHQET() {
+ delete hqetffmodel;
+ hqetffmodel=0;
+ delete calcamp;
+ calcamp=0;
+}
+
+std::string EvtHQET::getName(){
+
+ return "HQET";
+
+}
+
+
+
+EvtDecayBase* EvtHQET::clone(){
+
+ return new EvtHQET;
+
+}
+
+
+void EvtHQET::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ calcamp->CalcAmp(p,_amp2,hqetffmodel);
+
+}
+
+void EvtHQET::initProbMax(){
+
+EvtId parnum,mesnum,lnum,nunum;
+
+parnum = getParentId();
+mesnum = getDaug(0);
+lnum = getDaug(1);
+nunum = getDaug(2);
+
+double mymaxprob = calcamp->CalcMaxProb(parnum,mesnum,
+ lnum,nunum,hqetffmodel);
+
+setProbMax(mymaxprob);
+
+}
+
+
+void EvtHQET::init(){
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype d1type = EvtPDL::getSpinType(getDaug(0));
+ if ( d1type==EvtSpinType::SCALAR) {
+ checkNArg(1,2);
+ if ( getNArg()==1 ) hqetffmodel = new EvtHQETFF(getArg(0));
+ else hqetffmodel = new EvtHQETFF(getArg(0),getArg(1));
+ calcamp = new EvtSemiLeptonicScalarAmp;
+ }
+ else if ( d1type==EvtSpinType::VECTOR) {
+ checkNArg(3,4);
+ if ( getNArg()==3 ) hqetffmodel = new EvtHQETFF(getArg(0),getArg(1),getArg(2));
+ else hqetffmodel = new EvtHQETFF(getArg(0),getArg(1),getArg(2),getArg(3));
+ calcamp = new EvtSemiLeptonicVectorAmp;
+ }
+ else{
+ report(ERROR,"EvtGen") << "HQET model handles only scalar and vector meson daughters. Sorry."<<endl;
+ ::abort();
+ }
+
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtHQET.hh
+//
+// Description:Implementation of the HQET model
+//
+// Modification history:
+//
+// DJL April 20, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTHQET_HH
+#define EVTHQET_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+
+class EvtHQET:public EvtDecayAmp {
+
+public:
+
+ EvtHQET();
+ virtual ~EvtHQET();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+private:
+ EvtSemiLeptonicFF *hqetffmodel;
+ EvtSemiLeptonicAmp *calcamp;
+};
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtHQET2.cc
+//
+// Description: Routine to implement semileptonic B->D*lnu & B->Dlnu
+// decays according to the model HQET
+//
+// Lange Nov9/01 adding Dlnu and possible (w-1)^2 term
+//
+//
+// Modification history:
+//
+// Marco Bomben March 10, 2003 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <assert.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtHQET2.hh"
+#include "EvtGenModels/EvtHQET2FF.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include <string>
+using std::endl;
+
+EvtHQET2::EvtHQET2():
+ hqetffmodel(0)
+ ,calcamp(0)
+{}
+
+EvtHQET2::~EvtHQET2() {
+ delete hqetffmodel;
+ hqetffmodel=0;
+ delete calcamp;
+ calcamp=0;
+}
+
+std::string EvtHQET2::getName(){
+
+ return "HQET2";
+
+}
+
+
+
+EvtDecayBase* EvtHQET2::clone(){
+
+ return new EvtHQET2;
+
+}
+
+
+void EvtHQET2::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ calcamp->CalcAmp(p,_amp2,hqetffmodel);
+
+}
+
+void EvtHQET2::initProbMax(){
+
+ EvtId parnum,mesnum,lnum,nunum;
+
+ parnum = getParentId();
+ mesnum = getDaug(0);
+ lnum = getDaug(1);
+ nunum = getDaug(2);
+
+ double mymaxprob = calcamp->CalcMaxProb(parnum,mesnum,
+ lnum,nunum,hqetffmodel);
+
+ setProbMax(mymaxprob);
+
+}
+
+
+void EvtHQET2::init(){
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype d1type = EvtPDL::getSpinType(getDaug(0));
+ if ( d1type==EvtSpinType::SCALAR) {
+ if ( getNArg()==2 ) {hqetffmodel = new EvtHQET2FF(getArg(0),getArg(1));
+ calcamp = new EvtSemiLeptonicScalarAmp;}
+ else {
+ report(ERROR,"EvtGen") << "HQET2 model for scalar meson daughters needs 2 arguments. Sorry."<<endl;
+ ::abort();
+ }
+ }
+ else if ( d1type==EvtSpinType::VECTOR) {
+ if ( getNArg()==4 ){ hqetffmodel = new EvtHQET2FF(getArg(0),getArg(1),getArg(2),getArg(3));
+ calcamp = new EvtSemiLeptonicVectorAmp; }
+ else {
+ report(ERROR,"EvtGen") << "HQET2 model for vector meson daughtersneeds 4 arguments. Sorry."<<endl;
+ ::abort();
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "HQET2 model handles only scalar and vector meson daughters. Sorry."<<endl;
+ ::abort();
+ }
+
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Module: EvtGen/EvtHQET2.hh
+//
+// Description:Implementation of the HQET model with dispersive FF due to
+// Caprini et al.
+//
+// Modification history:
+//
+// Marco Bomben March 11, 2003 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTHQET2_HH
+#define EVTHQET2_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+
+class EvtHQET2:public EvtDecayAmp {
+
+public:
+
+ EvtHQET2();
+ virtual ~EvtHQET2();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+private:
+ EvtSemiLeptonicFF *hqetffmodel;
+ EvtSemiLeptonicAmp *calcamp;
+};
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Module: EvtHQET2FF.cc
+//
+// Description: form factors for B->D*lnu & B->Dlnu according to HQET
+// with dispersive FF
+//
+// Modification history:
+//
+// Marco Bomben March 10, 2003 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtHQET2FF.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtPDL.hh"
+#include <math.h>
+#include <stdlib.h>
+
+
+EvtHQET2FF::EvtHQET2FF(double hqetrho2, double hqetha1_1 , double hqetr1_1, double hqetr2_1) {
+
+ rho2 = hqetrho2;
+ r1_1 = hqetr1_1;
+ r2_1 = hqetr2_1;
+ ha1_1 = hqetha1_1;
+
+ return;
+}
+
+EvtHQET2FF::EvtHQET2FF(double hqetrho2, double hqetv1_1) {
+
+ rho2 = hqetrho2;
+ v1_1 = hqetv1_1;
+
+ return;
+}
+
+
+void EvtHQET2FF::getscalarff(EvtId parent,EvtId,
+ double t, double mass, double *f0p, double *f0m) {
+
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double w = ((mb*mb)+(mass*mass)-t)/(2.0*mb*mass);
+
+// Form factors have a general form, with parameters passed in
+// from the arguements.
+
+ // Use disparsion relation parametrization from
+ // I.Caprini, L.Lelluch, M.Neubert, Nucl. Phys. B 530,153(1998)
+ const double z = (sqrt(w+1)-sqrt(2.))/(sqrt(w+1)+sqrt(2.));
+ double v1 = v1_1*(1.- 8.*rho2*z + (51.*rho2-10.)*z*z - (252.*rho2-84.)*z*z*z)
+;
+
+ *f0p=v1;
+ *f0m = 0.0;
+
+ return;
+ }
+
+void EvtHQET2FF::getvectorff(EvtId parent,EvtId,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double w = ((mb*mb)+(mass*mass)-t)/(2.0*mb*mass);
+
+// Form factors have a general form, with parameters passed in
+// from the arguements.
+
+ double rstar = ( 2.0*sqrt(mb*mass))/(mb+mass);
+
+ // Use disparsion relation parametrization from
+ // I.Caprini, L.Lelluch, M.Neubert, Nucl. Phys. B 530,153(1998)
+ const double z = (sqrt(w+1)-sqrt(2.))/(sqrt(w+1)+sqrt(2.));
+ double ha1 =ha1_1*(1.- 8.*rho2*z + (53.*rho2-15.)*z*z - (231.*rho2-91.)*z*z*z);
+ double r1 = r1_1-0.12*(w-1)+0.05*(w-1)*(w-1);
+ double r2 = r2_1+0.11*(w-1)-0.06*(w-1)*(w-1);
+;
+
+ *a1f = (1.0 - (t/((mb+mass)*(mb+mass))))*ha1;
+ *a1f = (*a1f)/rstar;
+ *a2f = (r2/rstar)*ha1;
+ *vf = (r1/rstar)*ha1;
+ *a0f = 0.0;
+
+ return;
+ }
+
+void EvtHQET2FF::gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :gettensorff in EvtHQET2FF.\n";
+ ::abort();
+
+}
+
+
+
+void EvtHQET2FF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtHQET2FF.\n";
+ ::abort();
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Module: EvtGen/EvtHQET2FF.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Marco Bomben March 10, 2003 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTHQET2FF_HH
+#define EVTHQET2FF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+class EvtId;
+
+class EvtHQET2FF : public EvtSemiLeptonicFF {
+
+public:
+ EvtHQET2FF(double hqetrho2, double hqetha1_1, double hqetr1_1, double hqetr2_1);
+ EvtHQET2FF(double hqetrho2, double hqetv1_1);
+ void getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+
+ void getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *f0p, double *f0m);
+
+ void gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+
+private:
+ double r1_1;
+ double rho2;
+ double r2_1;
+ double ha1_1;
+ double v1_1;
+};
+
+#endif
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtHQETFF.cc
+//
+// Description: form factors for B->D*lnu according to HQET
+//
+// Modification history:
+//
+// DJL April 17, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtHQETFF.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtPDL.hh"
+#include <math.h>
+#include <stdlib.h>
+
+
+EvtHQETFF::EvtHQETFF(double hqetrho2, double hqetr1, double hqetr2, double quadTerm) {
+
+ rho2 = hqetrho2;
+ r1 = hqetr1;
+ r2 = hqetr2;
+ c = quadTerm;
+
+ return;
+}
+
+EvtHQETFF::EvtHQETFF(double hqetrho2, double quadTerm) {
+
+ rho2 = hqetrho2;
+ c = quadTerm;
+
+ return;
+}
+
+
+void EvtHQETFF::getscalarff(EvtId parent,EvtId,
+ double t, double mass, double *f0p, double *f0m) {
+
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double w = ((mb*mb)+(mass*mass)-t)/(2.0*mb*mass);
+
+// Form factors have a general form, with parameters passed in
+// from the arguements.
+
+ double ha1 = 1-rho2*(w-1)+c*(w-1)*(w-1);
+
+ *f0p=ha1;
+ *f0m = 0.0;
+
+ return;
+ }
+
+void EvtHQETFF::getvectorff(EvtId parent,EvtId,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double w = ((mb*mb)+(mass*mass)-t)/(2.0*mb*mass);
+
+// Form factors have a general form, with parameters passed in
+// from the arguements.
+
+ double rstar = ( 2.0*sqrt(mb*mass))/(mb+mass);
+ double ha1 = 1-rho2*(w-1);
+
+ *a1f = (1.0 - (t/((mb+mass)*(mb+mass))))*ha1;
+ *a1f = (*a1f)/rstar;
+ *a2f = (r2/rstar)*ha1;
+ *vf = (r1/rstar)*ha1;
+ *a0f = 0.0;
+
+ return;
+ }
+
+
+void EvtHQETFF::gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :gettensorff in EvtHQETFF.\n";
+ ::abort();
+
+}
+
+
+
+void EvtHQETFF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtHQETFF.\n";
+ ::abort();
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtHQETFF.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL April 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTHQETFF_HH
+#define EVTHQETFF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+class EvtId;
+
+class EvtHQETFF : public EvtSemiLeptonicFF {
+
+public:
+ EvtHQETFF(double hqetrho2, double hqetr1, double hqetr2, double hqetc=0.);
+ EvtHQETFF(double hqetrho2, double hqetc=0.);
+ void getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+
+ void getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *f0p, double *f0m);
+
+ void gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+
+private:
+ double r1;
+ double rho2;
+ double r2;
+ double c;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtHelAmp.cc
+//
+// Description: Decay model for implementation of generic 2 body
+// decay specified by the helicity amplitudes
+//
+//
+// Modification history:
+//
+// RYD March 14, 1999 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtHelAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtEvalHelAmp.hh"
+using std::endl;
+
+
+EvtHelAmp::~EvtHelAmp() {
+
+ delete _evalHelAmp;
+
+}
+
+std::string EvtHelAmp::getName(){
+
+ return "HELAMP";
+
+}
+
+
+EvtDecayBase* EvtHelAmp::clone(){
+
+ return new EvtHelAmp;
+
+}
+
+void EvtHelAmp::init(){
+
+ checkNDaug(2);
+
+
+ //find out how many states each particle have
+ int _nA=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getParentId()));
+ int _nB=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getDaug(0)));
+ int _nC=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getDaug(1)));
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"_nA,_nB,_nC:"
+ <<_nA<<","<<_nB<<","<<_nC<<endl;
+ }
+
+ //find out what 2 times the spin is
+ int _JA2=EvtSpinType::getSpin2(EvtPDL::getSpinType(getParentId()));
+ int _JB2=EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(0)));
+ int _JC2=EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(1)));
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"_JA2,_JB2,_JC2:"
+ <<_JA2<<","<<_JB2<<","<<_JC2<<endl;
+ }
+
+ //allocate memory
+ int* _lambdaA2=new int[_nA];
+ int* _lambdaB2=new int[_nB];
+ int* _lambdaC2=new int[_nC];
+
+ EvtComplexPtr* _HBC=new EvtComplexPtr[_nB];
+ for(int ib=0;ib<_nB;ib++){
+ _HBC[ib]=new EvtComplex[_nC];
+ }
+
+ int i;
+ //find the allowed helicities (actually 2*times the helicity!)
+
+ fillHelicity(_lambdaA2,_nA,_JA2,getParentId());
+ fillHelicity(_lambdaB2,_nB,_JB2,getDaug(0));
+ fillHelicity(_lambdaC2,_nC,_JC2,getDaug(1));
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"Helicity states of particle A:"<<endl;
+ for(i=0;i<_nA;i++){
+ report(INFO,"EvtGen")<<_lambdaA2[i]<<endl;
+ }
+
+ report(INFO,"EvtGen")<<"Helicity states of particle B:"<<endl;
+ for(i=0;i<_nB;i++){
+ report(INFO,"EvtGen")<<_lambdaB2[i]<<endl;
+ }
+
+ report(INFO,"EvtGen")<<"Helicity states of particle C:"<<endl;
+ for(i=0;i<_nC;i++){
+ report(INFO,"EvtGen")<<_lambdaC2[i]<<endl;
+ }
+ }
+
+ //now read in the helicity amplitudes
+
+ int argcounter=0;
+
+ for(int ib=0;ib<_nB;ib++){
+ for(int ic=0;ic<_nC;ic++){
+ _HBC[ib][ic]=0.0;
+ if (abs(_lambdaB2[ib]-_lambdaC2[ic])<=_JA2) argcounter+=2;
+ }
+ }
+
+ checkNArg(argcounter);
+
+ argcounter=0;
+
+ for(int ib=0;ib<_nB;ib++){
+ for(int ic=0;ic<_nC;ic++){
+ if (abs(_lambdaB2[ib]-_lambdaC2[ic])<=_JA2) {
+ _HBC[ib][ic]=getArg(argcounter)*exp(EvtComplex(0.0,getArg(argcounter+1)));;
+ argcounter+=2;
+ if (verbose()){
+ report(INFO,"EvtGen")<<"_HBC["<<ib<<"]["<<ic<<"]="
+ <<_HBC[ib][ic]<<endl;
+ }
+ }
+ }
+ }
+
+ _evalHelAmp=new EvtEvalHelAmp(getParentId(),
+ getDaug(0),
+ getDaug(1),
+ _HBC);
+
+ // Note: these are not class data members but local variables.
+ delete [] _lambdaA2;
+ delete [] _lambdaB2;
+ delete [] _lambdaC2;
+ for(int ib=0;ib<_nB;ib++){
+ delete [] _HBC[ib];
+ }
+ delete [] _HBC; // _HBC is copied in ctor of EvtEvalHelAmp above.
+
+}
+
+
+void EvtHelAmp::initProbMax(){
+
+ double maxprob=_evalHelAmp->probMax();
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"Calculated probmax"<<maxprob<<endl;
+ }
+
+ setProbMax(maxprob);
+
+}
+
+
+void EvtHelAmp::decay( EvtParticle *p){
+
+ //first generate simple phase space
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ _evalHelAmp->evalAmp(p,_amp2);
+
+ return ;
+
+}
+
+
+void EvtHelAmp::fillHelicity(int* lambda2,int n,int J2, EvtId id){
+
+ int i;
+
+ //photon is special case!
+ if (n==2&&J2==2) {
+ lambda2[0]=2;
+ lambda2[1]=-2;
+ return;
+ }
+
+ //and so is the neutrino!
+ if (n==1&&J2==1) {
+ if (EvtPDL::getStdHep(id)>0){
+ //particle i.e. lefthanded
+ lambda2[0]=-1;
+ }else{
+ //anti particle i.e. righthanded
+ lambda2[0]=1;
+ }
+ return;
+ }
+
+ assert(n==J2+1);
+
+ for(i=0;i<n;i++){
+ lambda2[i]=n-i*2-1;
+ }
+
+ return;
+
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtHelAmp.hh
+//
+// Description:Decay model for implementation of generic 2 body
+// decay specified by the helicity amplitudes
+//
+// Modification history:
+//
+// RYD March 14, 1999 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTHELAMP_HH
+#define EVTHELAMP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+
+class EvtParticle;
+class EvtEvalHelAmp;
+
+class EvtHelAmp:public EvtDecayAmp{
+
+public:
+
+ EvtHelAmp(): _evalHelAmp(0) {}
+ virtual ~EvtHelAmp();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+
+private:
+
+ void fillHelicity(int* lambda2,int n,int J2, EvtId id);
+
+ EvtEvalHelAmp* _evalHelAmp;
+
+};
+
+#endif
+
+
+
+
+
+
--- /dev/null
+//-----------------------------------------------------------------------------------------------
+//
+// Module: EvtHypNonLepton.cpp
+//
+// Desription: Routine to implement Hyperon(s=1/2) -> Baryon(s=1/2) + Scalar decays accroding to
+// Review Of Particle Physics 2004, Phys.Lett.B, Vol.592, p.864
+//
+// Modification history:
+//
+// 09/02/2009 PR Corrected Delta sign
+// 20/02/2005 PR Module created according to PHSP and Lb2Lll model
+//
+//-----------------------------------------------------------------------------------------------
+
+#ifdef WIN32
+#pragma warning( disable : 4786 )
+// Disable anoying warning about symbol size
+#endif
+
+#include "EvtGenModels/EvtHypNonLepton.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+
+
+EvtHypNonLepton::~EvtHypNonLepton() {}
+
+EvtDecayBase* EvtHypNonLepton::clone(){
+ return new EvtHypNonLepton;
+}
+
+std::string EvtHypNonLepton::getName(){
+ return "HypNonLepton";
+}
+
+void EvtHypNonLepton::init(){
+
+ if(getNArg()<2 || getNArg()>3){ // alpha phi gamma delta
+ report(ERROR,"EvtGen") << " ERROR: EvtHypNonLepton generator expected 2 or 3 arguments but found: " << getNArg() << std::endl;
+ report(INFO ,"EvtGen") << " 1. Decay asymmetry parameter - alpha" << std::endl;
+ report(INFO ,"EvtGen") << " 2. Parameter phi - in degrees (not radians)" << std::endl;
+ report(INFO ,"EvtGen") << " 3. Note on every x-th decay" << std::endl;
+ ::abort();
+ }
+
+ if(getNDaug()!=2){ // Check that there are 2 daughters only
+ report(ERROR,"EvtGen") << " ERROR: EvtHypNonLepton generator expected 2 daughters but found: " << getNDaug() << std::endl;
+ ::abort();
+ }
+
+ // Check particles spins
+ if(EvtSpinType::getSpin2(EvtPDL::getSpinType(getParentId()))!=1){
+ report(ERROR,"EvtGen") << " ERROR: EvtHypNonLepton generator expected dirac parent particle, but found " << EvtSpinType::getSpin2(EvtPDL::getSpinType(getParentId())) << " spin degrees of freedom" << std::endl;
+ ::abort();
+ }
+ if(EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(0)))!=1){
+ report(ERROR,"EvtGen") << " ERROR: EvtHypNonLepton generator expected the first child to be dirac particle, but found " << EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(0))) << " spin degrees of freedom" << std::endl;
+ ::abort();
+ }
+ if(EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(1)))!=0){
+ report(ERROR,"EvtGen") << " ERROR: EvtHypNonLepton generator expected the second child to be scalar particle, but found " << EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(1))) << " spin degrees of freedom" << std::endl;
+ ::abort();
+ }
+
+ // Read all parameters
+ m_alpha = getArg(0);
+ m_phi = getArg(1)*EvtConst::pi/180;
+ if(getNArg()==3) m_noTries = static_cast<long>(getArg(2));
+ else m_noTries = 0;
+
+ // calculate additional parameters
+ double p,M,m1,m2;
+ double p_to_s,beta,delta,gamma;
+
+ M = EvtPDL::getMass(getParentId());
+ m1 = EvtPDL::getMass(getDaug(0));
+ m2 = EvtPDL::getMass(getDaug(1));
+
+ if(m1+m2>=M){
+ report(ERROR,"EvtGen") << " ERROR: EvtHypNonLepton found impossible decay: " << M << " --> " << m1 << " + " << m2 << " GeV\n" << std::endl;
+ ::abort();
+ }
+
+ p = sqrt(M*M-(m1+m2)*(m1+m2))*sqrt(M*M-(m1-m2)*(m1-m2))/2./M;
+
+ beta = sqrt(1.-m_alpha*m_alpha)*sin(m_phi);
+ delta = -atan2(beta,m_alpha);
+ gamma = sqrt(1.-m_alpha*m_alpha-beta*beta);
+ p_to_s = sqrt((1.-gamma)/(1.+gamma));
+
+ m_B_to_A = p_to_s*(m1+sqrt(p*p+m1*m1))/p*EvtComplex(cos(delta),sin(delta));
+
+}
+
+void EvtHypNonLepton::initProbMax(){
+
+ double maxProb,m1,m2,M,p;
+
+ M=EvtPDL::getMass(getParentId());
+ m1=EvtPDL::getMass(getDaug(0));
+ m2=EvtPDL::getMass(getDaug(1));
+
+ if(m1+m2>=M){
+ report(ERROR,"EvtGen") << " ERROR: EvtHypNonLepton found impossible decay: " << M << " --> " << m1 << " + " << m2 << " GeV\n" << std::endl;
+ ::abort();
+ }
+
+ p=sqrt(M*M-(m1+m2)*(m1+m2))*sqrt(M*M-(m1-m2)*(m1-m2))/2/M;
+ maxProb=16*M*(sqrt(p*p+m1*m1)+m1+abs(m_B_to_A)*abs(m_B_to_A)*(sqrt(p*p+m1*m1)-m1));
+ //maxProb *= G_F*M_pi*M_pi;
+
+ setProbMax(maxProb);
+ report(INFO,"EvtGen") << " EvtHypNonLepton set up maximum probability to " << maxProb << std::endl;
+
+}
+
+void EvtHypNonLepton::decay(EvtParticle* parent){
+
+ parent->initializePhaseSpace(getNDaug(),getDaugs());
+ calcAmp(&_amp2,parent);
+
+}
+
+void EvtHypNonLepton::calcAmp(EvtAmp *amp,EvtParticle *parent){
+
+ static long noTries=0;
+ int i;
+ EvtComplex Matrix[2][2],B_to_A;
+
+ //G_F = 1.16637e-5;
+ //M_pi = 0.13957;
+
+ for(i=0;i<4;i++){
+ //std::cout << "--------------------------------------------------" << std::endl;
+ Matrix[i/2][i%2] = EvtLeptonSCurrent(parent->sp(i/2),parent->getDaug(0)->spParent(i%2));
+ //std::cout << "Matrix = " << Matrix[i/2][i%2] << std::endl;
+ Matrix[i/2][i%2] -= m_B_to_A*EvtLeptonPCurrent(parent->sp(i/2),parent->getDaug(0)->spParent(i%2));
+ //std::cout << "Matrix = " << Matrix[i/2][i%2] << std::endl;
+ //Matrix[i/2][i%2] *= G_F*M_pi*M_pi;
+ //std::cout << "Matrix = " << Matrix[i/2][i%2] << std::endl;
+ //std::cout << "--------------------------------------------------" << std::endl;
+ amp->vertex(i/2,i%2,Matrix[i/2][i%2]);
+ }
+
+ if(m_noTries>0) if(!((++noTries)%m_noTries)) report(DEBUG,"EvtGen") << " EvtHypNonLepton already finished " << noTries << " matrix element calculations" << std::endl;
+}
--- /dev/null
+//-----------------------------------------------------------------------------------------------
+//
+// Module: EvtHybNonLepton.hh
+//
+// Desription: Routine to implement Hyperon(s=1/2) -> Baryon(s=1/2) + Scalar decays accroding to
+// Review Of Particle Physics 2004, Phys.Lett.B, Vol.592, p.864
+//
+// Modification history:
+//
+// 20/02/2005 PR Module created according to PHSP and Lb2Lll model
+//
+//-----------------------------------------------------------------------------------------------
+
+#ifndef EVTHYBNONLEPTON_HH
+#define EVTHYBNONLEPTON_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtComplex.hh"
+
+class EvtHypNonLepton:public EvtDecayAmp {
+
+public:
+
+ EvtHypNonLepton() {}
+ virtual ~EvtHypNonLepton();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+ void calcAmp(EvtAmp *amp,EvtParticle *parent);
+
+private:
+
+ double m_alpha;
+ double m_phi;
+ EvtComplex m_B_to_A;
+ long m_noTries;
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtISGW.cc
+//
+// Description: Routine to implement semileptonic decays according
+// to the model ISGW
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtISGW.hh"
+#include <string>
+#include "EvtGenModels/EvtISGWFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicTensorAmp.hh"
+
+EvtISGW::~EvtISGW() {}
+
+std::string EvtISGW::getName(){
+
+ return "ISGW";
+
+}
+
+
+EvtDecayBase* EvtISGW::clone(){
+
+ return new EvtISGW;
+
+}
+
+void EvtISGW::decay( EvtParticle *p ){
+
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ calcamp->CalcAmp(p,_amp2,isgwffmodel);
+ return;
+
+}
+
+
+void EvtISGW::init(){
+
+ checkNArg(0);
+ checkNDaug(3);
+
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(getDaug(0));
+
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+
+ isgwffmodel = new EvtISGWFF;
+
+ if ( mesontype==EvtSpinType::SCALAR ) {
+ calcamp = new EvtSemiLeptonicScalarAmp;
+ }
+ if ( mesontype==EvtSpinType::VECTOR ) {
+ calcamp = new EvtSemiLeptonicVectorAmp;
+ }
+ if ( mesontype==EvtSpinType::TENSOR ) {
+ calcamp = new EvtSemiLeptonicTensorAmp;
+ }
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtISGW.hh
+//
+// Description:Implementation of the ISGW model
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTISGW_HH
+#define EVTISGW_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+class EvtParticle;
+
+
+
+class EvtISGW:public EvtDecayAmp {
+
+public:
+
+ EvtISGW() {}
+ virtual ~EvtISGW();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+
+private:
+ EvtSemiLeptonicFF *isgwffmodel;
+ EvtSemiLeptonicAmp *calcamp;
+};
+
+
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtISGW2.cc
+//
+// Description: Routine to implement semileptonic decays according
+// to the model ISGW2
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtISGW2.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+#include <string>
+#include "EvtGenModels/EvtISGW2FF.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicTensorAmp.hh"
+
+EvtISGW2::EvtISGW2():
+ isgw2ffmodel(0)
+ ,calcamp(0)
+{}
+
+
+EvtISGW2::~EvtISGW2() {
+ delete isgw2ffmodel;
+ isgw2ffmodel=0;
+ delete calcamp;
+ calcamp=0;
+}
+
+std::string EvtISGW2::getName(){
+
+ return "ISGW2";
+
+}
+
+
+
+EvtDecayBase* EvtISGW2::clone(){
+
+ return new EvtISGW2;
+
+}
+
+void EvtISGW2::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ calcamp->CalcAmp(p,_amp2,isgw2ffmodel);
+
+}
+
+void EvtISGW2::initProbMax() {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BCP=EvtPDL::getId("B_c+");
+ static EvtId BCM=EvtPDL::getId("B_c-");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+ static EvtId DS1P=EvtPDL::getId("D_s1+");
+ static EvtId DS1M=EvtPDL::getId("D_s1-");
+ static EvtId DS0STP=EvtPDL::getId("D_s0*+");
+ static EvtId DS0STM=EvtPDL::getId("D_s0*-");
+ static EvtId DPS1P=EvtPDL::getId("D'_s1+");
+ static EvtId DPS1M=EvtPDL::getId("D'_s1-");
+ static EvtId DS2STP=EvtPDL::getId("D_s2*+");
+ static EvtId DS2STM=EvtPDL::getId("D_s2*-");
+
+
+EvtId parnum,mesnum,lnum;
+
+parnum = getParentId();
+mesnum = getDaug(0);
+lnum = getDaug(1);
+
+
+if ( parnum==BP||parnum==BM||parnum==B0||parnum==B0B||parnum==BS0||parnum==BSB ) {
+
+ if ( mesnum==DST0||mesnum==DSTP||mesnum==DSTB||mesnum==DSTM||mesnum==DSSTP||mesnum==DSSTM) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(10000.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(7000.0);
+ return;
+ }
+ }
+
+
+ if ( mesnum==D0||mesnum==DP||mesnum==D0B||mesnum==DM||mesnum==DSP||mesnum==DSM) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(4000.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(3500.0);
+ return;
+ }
+ }
+
+
+ if ( mesnum==D1P1P||mesnum==D1P1N||mesnum==D1P10||mesnum==D1P1B||mesnum==DS1P||mesnum==DS1M) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1300.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(480.0);
+ return;
+ }
+ }
+
+ if ( mesnum==D3P1P||mesnum==D3P1N||mesnum==D3P10||mesnum==D3P1B||mesnum==DS0STP||mesnum==DS0STM) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(450.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(73.0);//???
+ return;
+ }
+ }
+
+ if ( mesnum==D3P0P||mesnum==D3P0N||mesnum==D3P00||mesnum==D3P0B||mesnum==DPS1P||mesnum==DPS1M) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(200.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(90.0);
+ return;
+ }
+ }
+ if ( mesnum==D3P2P||mesnum==D3P2N||mesnum==D3P20||mesnum==D3P2B||mesnum==DS2STP||mesnum==DS2STM) {
+
+ if ( mesnum==DS2STP|| mesnum==DS2STM) {
+ setProbMax(550.0);
+ return;
+ }
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(400.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(220.0);
+ return;
+ }
+ }
+
+ if ( mesnum==D21S0P||mesnum==D21S0N||mesnum==D21S00||mesnum==D21S0B) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(16.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(3.0);
+ return;
+ }
+ }
+
+ if ( mesnum==D23S1P||mesnum==D23S1N||mesnum==D23S10||mesnum==D23S1B) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(500.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(250.0);
+ return;
+ }
+ }
+
+ if ( mesnum==RHOP||mesnum==RHOM||mesnum==RHO0) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(6500.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(6000.0);
+ return;
+ }
+ }
+
+ if ( mesnum==OMEG) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(6800.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(6000.0);
+ return;
+ }
+ }
+
+ if ( mesnum==PIP||mesnum==PIM||mesnum==PI0) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1200.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1150.0);
+ return;
+ }
+ }
+
+ if ( mesnum==ETA) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1800.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1900.0);
+ return;
+ }
+ }
+
+ if ( mesnum==ETAPR) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(3000.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(3000.0);
+ return;
+ }
+ }
+
+
+ if ( mesnum==B1P||mesnum==B1M||mesnum==B10) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(2500.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1700.0);
+ return;
+ }
+ }
+
+ if ( mesnum==A0P||mesnum==A0M||mesnum==A00) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(80.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(62.0);
+ return;
+ }
+ }
+
+ if ( mesnum==A1P||mesnum==A1M||mesnum==A10) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(4500.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(3500.0);
+ return;
+ }
+ }
+
+ if ( mesnum==A2P||mesnum==A2M||mesnum==A20) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1200.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1000.0);
+ return;
+ }
+ }
+
+ if ( mesnum==H1) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(2600.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(2900.0);
+ return;
+ }
+ }
+
+ if ( mesnum==H1PR) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1400.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1500.0);
+ return;
+ }
+ }
+
+ if ( mesnum==F2) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1100.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1100.0);
+ return;
+ }
+ }
+
+ if ( mesnum==F2PR) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(804.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(600.0);
+ return;
+ }
+ }
+
+ if ( mesnum==F1) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(2500.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(2000.0) ;
+ return;
+ }
+ }
+
+ if ( mesnum==F1PR) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(2400.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1700.0);
+ return;
+ }
+ }
+
+ if ( mesnum==F0) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 80.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(63.0);
+ return;
+ }
+ }
+
+ if ( mesnum==F0PR) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(120.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(120.0);
+ return;
+ }
+ }
+
+
+ if ( mesnum==RHO2SP||mesnum==RHO2SM||mesnum==RHO2S0) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 2400.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(2000.0);
+ return;
+ }
+ }
+
+ if ( mesnum==OMEG2S) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1600.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1400.0) ;
+ return;
+ }
+ }
+
+ if ( mesnum==PI2SP||mesnum==PI2SM||mesnum==PI2S0) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 500.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(300.0);
+ return;
+ }
+ }
+
+ if ( mesnum==ETA2S) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(344.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(300.0);
+ return;
+ }
+ }
+
+ if ( mesnum==KP||mesnum==KM||
+ mesnum==K1P||mesnum==K1M||mesnum==K1STP||mesnum==K1STM) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(2000.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(1000.0);
+ return;
+ }
+ }
+
+ if ( mesnum==KSTP||mesnum==KSTM ) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(10000.0);
+ return;
+ }
+ if ( lnum==TAUP||lnum==TAUM ) {
+ setProbMax(7000.0);
+ return;
+ }
+ }
+
+
+}
+
+if ( parnum==D0||parnum==DP||parnum==DM||parnum==D0B ) {
+
+
+ if ( mesnum==RHOP||mesnum==RHOM||mesnum==RHO0) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(110.0);
+ return;
+ }
+ }
+
+ if ( mesnum==OMEG) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(75.0);
+ return;
+ }
+ }
+
+ if ( mesnum==PIP||mesnum==PIM||mesnum==PI0) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(40.0);
+ return;
+ }
+ }
+
+ if ( mesnum==ETA) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 65.0);
+ return;
+ }
+ }
+
+ if ( mesnum==ETAPR) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 60.0);
+ return;
+ }
+ }
+
+ if ( mesnum==KP||mesnum==KM||mesnum==K0||
+ mesnum==K0S||mesnum==K0L||mesnum==KB) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 70.0);
+ return;
+ }
+ }
+
+ if ( mesnum==K1STP||mesnum==K1STM||mesnum==K1ST0||mesnum==K1STB) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 3.3);
+ return;
+ }
+ }
+
+ if ( mesnum==K1P||mesnum==K1M||mesnum==K10||mesnum==K1B) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 100.0);
+ return;
+ }
+ }
+
+ if ( mesnum==KSTP||mesnum==KSTM||mesnum==KST0||mesnum==KSTB) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 135.0);
+ return;
+ }
+ }
+
+ if ( mesnum==K2STP||mesnum==K2STM||mesnum==K2ST0||mesnum==K2STB) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ //Lange - Oct 26,2001 - increasing from 0.75 to
+ //accomodate
+ setProbMax( 9.0);
+ // setProbMax( 0.75);
+ return;
+ }
+ }
+
+ if ( mesnum==F0) {
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1.0);
+ return;
+ }
+ }
+
+
+}
+
+if ( parnum==DSP||parnum==DSM ) {
+
+
+ if ( mesnum==PHI ) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 90.0 );
+ return;
+ }
+ }
+
+ if ( mesnum==ETA ) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 75.0 );
+ return;
+ }
+ }
+
+ if ( mesnum==ETAPR ) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 80.0) ;
+ return;
+ }
+ }
+
+ if ( mesnum==KST0||mesnum==KSTB ) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 100.0) ;
+ return;
+ }
+ }
+
+
+ if ( mesnum==K0 || mesnum==KB || mesnum==K0S || mesnum==K0L ) {
+
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax( 45.0 );
+ return;
+ }
+ }
+
+ if ( mesnum==F0) {
+ if ( lnum==EP||lnum==EM||lnum==MUP||lnum==MUM ) {
+ setProbMax(1.0);
+ return;
+ }
+ }
+
+
+}
+
+if ( parnum==BCP||parnum==BCM ) {
+ setProbMax(1000.0 );
+ return;
+}
+
+
+
+//This is a real cludge.. (ryd)
+ setProbMax(0.0);
+
+}
+
+void EvtISGW2::init(){
+
+ checkNArg(0);
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(getDaug(0));
+
+ isgw2ffmodel = new EvtISGW2FF;
+
+ if ( mesontype==EvtSpinType::SCALAR ) {
+ calcamp = new EvtSemiLeptonicScalarAmp;
+ }
+ if ( mesontype==EvtSpinType::VECTOR ) {
+ calcamp = new EvtSemiLeptonicVectorAmp;
+ }
+ if ( mesontype==EvtSpinType::TENSOR ) {
+ calcamp = new EvtSemiLeptonicTensorAmp;
+ }
+
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtISGW2.hh
+//
+// Description:Implementation of the ISGW2 model
+// Class to handle semileptonic decays using the ISGW2
+// model, as described in PRD 52 5 (1995) by
+// Isgur and Scora. Electron, muon, and tau models
+// are available. Form factors, q2 and lepton energy
+// spectra checked against code from Scora.
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTISGW2_HH
+#define EVTISGW2_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+
+class EvtISGW2:public EvtDecayAmp {
+
+public:
+
+ EvtISGW2();
+ virtual ~EvtISGW2();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+private:
+ EvtSemiLeptonicFF *isgw2ffmodel;
+ EvtSemiLeptonicAmp *calcamp;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtISGW2FF.cc
+//
+// Description: Routine to implement semileptonic form factors
+// according to the model ISGW2
+//
+// Modification history:
+//
+// DJL April 17, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtISGW2FF.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include <string>
+#include <math.h>
+#include <stdlib.h>
+using std::endl;
+
+void EvtISGW2FF::getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *fpf,
+ double *f0f ) {
+
+ //added by Lange Jan4,2000
+
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double fmf;
+ double mb=EvtPDL::getMeanMass(parent);
+
+ if (daught==PI0||daught==PIP||daught==PIM||daught==ETA||
+ daught==ETAPR||daught==D0||daught==D0B||daught==DP||
+ daught==DM||daught==KP||daught==KM||daught==K0||daught==K0S||
+ daught==K0L||daught==KB||daught==DSP||daught==DSM) {
+
+ EvtISGW2FF1S0(parent,daught,t,mass,fpf,&fmf);
+ }
+
+ if (daught==PI2S0||daught==PI2SP||daught==PI2SM||daught==ETA2S||
+ daught==D21S0P||daught==D21S0B||daught==D21S0N||daught==D21S00){
+ EvtISGW2FF21S0(parent,daught,t,mass,fpf,&fmf);
+ }
+
+ if (daught==A00||daught==A0P||daught==A0M||daught==F0||
+ daught==F0PR||daught==D3P0P||daught==D3P00||daught==D3P0B||
+ daught==D3P0N||daught==K0STM||daught==K0STB||daught==K0STP||
+ daught==D3P0SP||daught==D3P0SN||
+ daught==K0ST0) {
+ EvtISGW2FF3P0(parent,daught,t,mass,fpf,&fmf);
+ }
+
+ *f0f = (fmf/((mb*mb-mass*mass)/t))+(*fpf);
+
+ return ;
+}
+
+ void EvtISGW2FF::gettensorff(EvtId parent,EvtId daught,
+ double t, double mass, double *hf,
+ double *kf, double *bpf, double *bmf ){
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ EvtISGW2FF3P2(parent,daught,t,mass,hf,kf,bpf,bmf);
+
+ return;
+
+ }
+
+
+ void EvtISGW2FF::getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+ double ff,gf,apf,amf;
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ if (daught==DST0||daught==DSTP||daught==DSTM||daught==DSTB||
+ daught==OMEG||daught==RHO0||daught==RHOM||daught==RHOP||
+ daught==KSTP||daught==KSTM||daught==KST0||daught==KSTB||
+ daught==PHI||daught==DSSTP||daught==DSSTM) {
+ EvtISGW2FF3S1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+ if (daught==B10||daught==B1P||daught==B1M||daught==H1||
+ daught==H1PR||daught==D1P1P||daught==D1P10||daught==D1P1B||
+ daught==D1P1SP||daught==D1P1SN||
+ daught==D1P1N||daught==K10||daught==K1B||daught==K1P||
+ daught==K1M) {
+ EvtISGW2FF1P1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+ if (daught==RHO2S0||daught==RHO2SP||daught==RHO2SM||daught==OMEG2S||
+ daught==D23S1P||daught==D23S1B||daught==D23S1N||daught==D23S10){
+ EvtISGW2FF23S1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+ if (daught==A10||daught==A1P||daught==A1M||daught==F1||
+ daught==F1PR||daught==D3P1P||daught==D3P10||daught==D3P1B||
+ daught==D3P1N||daught==K1STM||daught==K1STB||daught==K1STP||
+ daught==D3P1SP||daught==D3P1SN||
+ daught==K1ST0) {
+ EvtISGW2FF3P1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+
+ // Need to stuff in some factors to make these the ffs that
+ // is used elsewhere...
+
+ double mb=EvtPDL::getMeanMass(parent);
+
+
+ *vf = (gf)*(mb+mass);
+ *a1f = (ff)/(mb+mass);
+ *a2f = -1.0*(apf)*(mb+mass);
+
+ double a3f = ((mb+mass)/(2.0*mass))*(*a1f) -
+ ((mb-mass)/(2.0*mass))*(*a2f);
+
+ *a0f = a3f + ( (t*amf)/(2.0*mass));
+
+ return;
+ }
+
+
+
+void EvtISGW2FF::EvtISGW2FF1S0 (EvtId parent,EvtId daugt,
+ double t, double mass, double *fpf, double *fmf ) {
+
+ double mtb, mbb(0.0);
+ double msd(0.0), mx,mb,nf(0.0),nfp(0.0);
+ double msq(0.0),bx2(0.0),mbx(0.0),mtx;
+ double zji,cji,w,gammaji,chiji,betaji_fppfm;
+ double rfppfm,rfpmfm,f3fppfm,f3fpmfm,fppfm,fpmfm,al,ai,rcji,f3;
+ double mqm,msb(0.0),bb2(0.0),mup,mum,bbx2,tm,wt,r2,betaji_fpmfm;
+
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtIdSet theB("B+","B-","B0","anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ if (theB.contains(prnt)) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=5.31;
+ nf = 4.0;
+
+ if (dgt==PI0||dgt==PIP||dgt==PIM||dgt==ETA||dgt==ETAPR) {
+
+ msq=0.33;
+ bx2=0.406*0.406;
+ mbx=0.75*0.770+0.25*0.14;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==D0||dgt==D0B||dgt==DP||dgt==DM) {
+ msq=1.82;
+ bx2=0.45*0.45;
+ mbx=0.75*2.01+0.25*1.87;
+ nfp = 3.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==D0||prnt==D0B||prnt==DP||prnt==DM) {
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+
+ if (dgt==PIP||dgt==PIM||dgt==PI0||dgt==ETA||dgt==ETAPR) {
+ msq=0.33;
+ bx2=0.406*0.406;
+ mbx=0.75*0.770+0.25*0.14;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==K0||dgt==K0S||dgt==K0L||dgt==KB||dgt==KP||dgt==KM) {
+ msq=0.55;
+ bx2=0.44*0.44;
+ mbx=0.75*0.892+0.25*0.49767;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==DSP||prnt==DSM){
+ msb=1.82;
+ msd=0.55;
+ bb2=0.56*0.56;
+ mbb=1.968;
+ nf = 3.0;
+
+ if (dgt==K0||dgt==K0S||dgt==K0L||dgt==KB) {
+
+ msq=0.33;
+ bx2=0.44*0.44;
+ mbx=0.75*0.770+0.25*0.14;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==PI0||dgt==ETA||dgt==ETAPR) {
+ msq=0.33;
+ bx2=0.53*0.53;
+ mbx=0.75*0.892+0.25*0.49767;
+ nfp = 0.0;
+ }
+ else{
+
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+ }
+ else{
+ //BS -> cs constants added by djl on Jan. 21,1998
+ if (prnt==BS0||prnt==BSB){
+
+ msb=5.2;
+ msd=0.55;
+ bb2=0.54*0.54;
+ mbb=5.38;
+ nf = 4.0;
+
+ if (dgt==DSP||dgt==DSM) {
+
+ msq=1.82;
+ bx2=0.56*0.56;
+ mbx=0.75*2.11+0.25*1.97;
+ nfp = 3.0;
+ }
+ else if (dgt==KP||dgt==KM) {
+
+ msq=0.55;
+ bx2=0.44*0.44;
+ mbx=0.75*0.892+0.25*0.49767;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_1S0.\n";
+ report(ERROR,"EvtGen") << "Parent:"<<parent.getId()<<endl;
+ }
+ }
+ }
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+ mb=EvtPDL::getMeanMass(parent);
+ mx=mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if ( t>tm ) t=0.99*tm;
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+
+ mqm = 0.1;
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2) +
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm,mqm)/EvtGetas(msq,msq));
+
+ f3 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,1.5) /
+ ((1.0+r2*(tm-t)/12.0)*(1.0+r2*(tm-t)/12.0));
+
+// for w use wt def with physical masses.
+// report(ERROR,"EvtGen") << "before w\n";
+
+ w = 1.0 + (( tm - t ) / ( 2.0* mb * mx ));
+ rcji = ( 1/sqrt(w*w -1 ))*log( w + sqrt( w*w -1 ));
+ al = (8.0 / ( 33.0 - 2.0*nfp ))*(w*rcji -1.0 );
+ ai = -1.0* ( 6.0/( 33.0 - 2.0*nf));
+ cji = pow(( EvtGetas( msb,msb ) / EvtGetas( msq,msq ) ),ai);
+
+ zji = msq / msb;
+
+ gammaji = EvtGetGammaji( zji );
+ chiji = -1.0 - ( gammaji / ( 1- zji ));
+ betaji_fppfm = gammaji - (2.0/3.0)*chiji;
+ betaji_fpmfm = gammaji + (2.0/3.0)*chiji;
+ rfppfm = cji *(1.0 + betaji_fppfm*EvtGetas( msq,sqrt(msb*msq) )/EvtConst::pi);
+ rfpmfm = cji *(1.0 + betaji_fpmfm*EvtGetas( msq,sqrt(msb*msq) )/EvtConst::pi);
+ f3fppfm = f3*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),0.5);
+ f3fpmfm = f3*pow(( mbb / mtb ),0.5)*pow((mbx/mtx),-0.5);
+ fppfm = f3fppfm* rfppfm * ( 2.0 - ( ( mtx/msq)*(1- ( (msd*msq*bb2)
+ /(2.0*mup*mtx*bbx2)))));
+ fpmfm = f3fpmfm* rfpmfm * ( mtb/msq) * ( 1 - ( ( msd*msq*bb2)/
+ ( 2.0*mup*mtx*bbx2)));
+
+ *fpf = (fppfm + fpmfm)/2.0;
+ *fmf = (fppfm - fpmfm)/2.0;
+
+ return;
+} //get_ff_isgw_1s0
+
+
+
+
+
+void EvtISGW2FF::EvtISGW2FF3S1(EvtId parent,EvtId daugt,double t,double mass,
+ double *f,double *g,double *ap,double *am){
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double cf(0.0),mtb,wt,msd(0.0),mup,f3f,msq(0.0),bb2(0.0),mum,mtx,bbx2,f3g;
+ double cji,bx2(0.0),f3appam,msb(0.0),tm,mbb(0.0),mbx(0.0);
+ double f3apmam,appam,apmam,mb,mx,f3;
+ double r_f,r_g,r_appam,r_apmam, betaji_f,betaji_g;
+ double betaji_appam, betaji_apmam;
+ double w,mqm,r2,chiji,zji,ai,al,rcji,nf(0.0),nfp(0.0),gammaji;
+
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+
+ if (parent==B0||parent==B0B||parent==BP||parent==BM) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=5.31;
+ nf = 4.0;
+
+ if (dgt==DST0||dgt==DSTP||dgt==DSTM||dgt==DSTB) {
+
+ cf=0.989;
+ msq=1.82;
+ bx2=0.38*0.38;
+ mbx=0.75*2.01+0.25*1.87;
+ nfp = 3.0;
+ }
+ else{
+ if (dgt==OMEG||dgt==RHO0||dgt==RHOM||dgt==RHOP) {
+
+ cf=0.905;
+ msq=0.33;
+ bx2=0.299*0.299;
+ mbx=0.75*0.770+0.25*0.14;
+ nfp = 0.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_3S1.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==D0||prnt==D0B||prnt==DP||prnt==DM) {
+
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+
+ if (dgt==KSTP||dgt==KSTM||dgt==KST0||dgt==KSTB) {
+
+ cf=0.928;
+ msq=0.55;
+ bx2=0.33*0.33;
+ mbx=0.75*0.892+0.25*0.494;
+ nfp = 2.0;
+ }
+ else{
+ if (dgt==RHO0||dgt==OMEG||dgt==RHOM||dgt==RHOP) {
+ cf=0.889;
+ msq=0.33;
+ bx2=0.299*0.299;
+ mbx=0.75*0.770+0.25*0.14;
+ nfp = 0.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_3S1.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==DSP||prnt==DSM){
+
+ msb=1.82;
+ msd=0.55;
+ bb2=0.56*0.56;
+ mbb=1.968;
+ nf = 3.0;
+
+ if (dgt==KSTB||dgt==KST0) {
+
+ cf=0.8731;
+ msq=0.55;
+ bx2=0.33*0.33;
+ mbx=0.87;
+ nfp = 2.0;
+ }
+ else{
+ if(dgt==PHI){
+ cf=0.911;
+ msq=0.55;
+ bx2=0.37*0.37;
+ mbx=0.97;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_3S1.\n";
+ }
+ }
+ }
+ else{
+ //BS -> cs constants added by djl on Jan. 21,1998
+ if (prnt==BS0||prnt==BSB){
+
+ msb=5.2;
+ msd=0.55;
+ bb2=0.54*0.54;
+ mbb=5.38;
+ nf = 4.0;
+
+ if (dgt==DSSTP||dgt==DSSTM) {
+
+ cf=0.984;
+ msq=1.82;
+ bx2=0.49*0.49;
+ mbx=0.75*2.11+0.25*1.97;
+ nfp = 3.0;
+ }
+ else if (dgt==KSTP||dgt==KSTM||dgt==KST0||dgt==KSTB) {
+
+ cf=0.928;
+ msq=0.55;
+ bx2=0.33*0.33;
+ mbx=0.75*0.892+0.25*0.494;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw2_ff_3S1.\n";
+ }
+ }
+ }
+ }
+
+
+ mtb=msb+msd;
+ mtx=msq+msd;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ mb=EvtPDL::getMeanMass(parent);
+ mx=mass;
+ tm=(mb-mx)*(mb-mx);
+ if ( t > tm ) t = 0.99*tm;
+
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+ mqm = 0.1;
+
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2) +
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm,mqm)/EvtGetas(msq,msq));
+
+ w = 1.0 + (( tm - t ) / ( 2.0* mb * mx ));
+
+ rcji = ( 1/sqrt(w*w -1 ))*log( w + sqrt( w*w -1 ));
+
+ al = (8.0 / ( 33.0 - 2.0*nfp ))*(w*rcji -1.0 );
+
+ ai = -1.0* ( 6.0/( 33.0 - 2.0*nf));
+
+ cji = pow(( EvtGetas( msb,msb ) / EvtGetas( msq,msq ) ),ai);
+ zji = msq / msb;
+
+ gammaji = EvtGetGammaji( zji );
+
+ chiji = -1.0 - ( gammaji / ( 1- zji ));
+
+ betaji_g = (2.0/3.0)+gammaji;
+ betaji_f = (-2.0/3.0)+gammaji;
+ betaji_appam = -1.0-chiji+(4.0/(3.0*(1.0-zji)))+
+ (2.0*(1+zji)*gammaji/(3.0*(1.0-zji)*(1.0-zji)));
+
+ betaji_apmam = (1.0/3.0)-chiji-(4.0/(3.0*(1.0-zji)))-
+ (2.0*(1+zji)*gammaji/(3.0*(1.0-zji)*(1.0-zji)))+
+ gammaji;
+
+ r_g = cji*(1+(betaji_g*EvtGetas( msq,sqrt(mb*msq) )/(EvtConst::pi)));
+ r_f = cji*(1+(betaji_f*EvtGetas( msq,sqrt(mb*msq) )/(EvtConst::pi)));
+ r_appam = cji*(1+(betaji_appam*EvtGetas( msq,sqrt(mb*msq) )/(EvtConst::pi)));
+ r_apmam = cji*(1+(betaji_apmam*EvtGetas( msq,sqrt(mb*msq) )/(EvtConst::pi)));
+
+
+ f3=sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,1.5)/
+ ((1.0+r2*(tm-t)/12.0)*(1.0+r2*(tm-t)/12.0));
+
+ f3f=sqrt(mbx*mbb/(mtx*mtb))*f3;
+ f3g=sqrt(mtx*mtb/(mbx*mbb))*f3;
+ f3appam=sqrt(mtb*mtb*mtb*mbx/(mbb*mbb*mbb*mtx))*f3;
+ f3apmam=sqrt(mtx*mtb/(mbx*mbb))*f3;
+ *f=cf*mtb*(1+wt+msd*(wt-1)/(2*mup))*f3f*r_f;
+ *g=0.5*(1/msq-msd*bb2/(2*mum*mtx*bbx2))*f3g*r_g;
+
+ appam=cji*(msd*bx2*(1-msd*bx2/(2*mtb*bbx2))/
+ ((1+wt)*msq*msb*bbx2)-
+ betaji_appam*EvtGetas( msq,sqrt(msq*mb) )/
+ (mtb*EvtConst::pi))*f3appam;
+
+ apmam=-1.0*(mtb/msb-msd*bx2/(2*mup*bbx2)+wt*msd*mtb*bx2*
+ (1-msd*bx2/(2*mtb*bbx2))/((wt+1)*msq*msb*bbx2))*
+ f3apmam*r_apmam/mtx;
+
+ *ap=0.5*(appam+apmam);
+ *am=0.5*(appam-apmam);
+ return;
+}
+
+
+void EvtISGW2FF::EvtISGW2FF21S0 (EvtId parent,EvtId daugt,
+ double t, double mass, double *fppf, double *fpmf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb, mbb(0.0);
+ double msd(0.0), mx,mb,nf,nfp(0.0);
+ double msq(0.0),bx2(0.0),mbx(0.0),mtx;
+ double f3fppfm,f3fpmfm,fppfm,fpmfm,f3;
+ double mqm,msb(0.0);
+ double mum,mup,r2,wt,tm,bb2(0.0),bbx2;
+ double tau,udef,vdef;
+
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+
+ if (prnt==B0||prnt==B0B||prnt==BP||prnt==BM) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=0.75*5.325+0.25*5.279;
+ nf = 4.0;
+
+ if (dgt==PI2S0||dgt==PI2SP||dgt==PI2SM||dgt==ETA2S) {
+
+ msq=0.33;
+ bx2=0.406*0.406;
+ mbx=0.75*1.45+0.25*1.300;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==D21S0P||dgt==D21S0B||dgt==D21S0N||dgt==D21S00) {
+ msq=1.82;
+ bx2=0.45*0.45;
+ mbx=0.75*2.64+0.25*2.58;
+ nfp=3.0;
+ }
+ else{
+
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_EvtISGW2_ff_21S0.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==D0||prnt==D0B||prnt==DP||prnt==DM) {
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+ if (dgt==PI2SP||dgt==PI2SM||dgt==PI2S0||dgt==ETA2S) {
+ msq=0.33;
+ bx2=0.406*0.406;
+ mbx=0.75*1.45+0.25*1.300;
+ nfp = 0.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_EvtISGW2_ff_21S0.\n";
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_EvtISGW2_ff_21S0.\n";
+ }
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+
+ mqm = 0.1;
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2) +
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm)/EvtGetas(msq));
+
+ f3 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,3.0/2.0) /
+ (pow((1.0+r2*(tm-t)/24.0),4.0));
+
+ f3fppfm = f3*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),0.5);
+ f3fpmfm = f3*pow(( mbb / mtb ),0.5)*pow((mbx/mtx),-0.5);
+
+ tau = msd*msd*bx2*(wt-1)/(bb2*bbx2);
+ udef = (( bb2-bx2)/(2.0*bbx2)) + ((bb2*tau)/(3.0*bbx2));
+ vdef = (bb2*(1.0+(msq/msb))/(6.0*bbx2))*(7.0 - ((bb2/bbx2)*(5+tau)));
+
+ fppfm = f3fppfm*sqrt(1.5)*((1.0-(msd/msq))*udef-(msd*vdef/msq));
+ fpmfm = f3fpmfm*sqrt(1.5)*(mtb/msq)*(udef+(msd*vdef/mtx));
+
+ *fppf = (fppfm + fpmfm) /2.0;
+ *fpmf = (fppfm - fpmfm) /2.0;
+ return;
+
+} //get_ff_isgw_21s0
+
+
+void EvtISGW2FF::EvtISGW2FF23S1 (EvtId parent,EvtId daugt,
+ double t, double mass, double *fpf, double *gpf,
+ double *appf, double *apmf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb, mbb(0.0);
+ double msd(0.0), mx,mb,nf,nfp(0.0);
+ double msq(0.0),bx2(0.0),mbx(0.0),mtx;
+ double f3appam,f3apmam,f3,appam,apmam,f3fp,f3gp;
+ double udef,tau,mum,mup,bb2(0.0),bbx2,tm,wt,mqm,r2,msb(0.0);
+ double cfp(0.0);
+
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+
+ if (prnt==B0||prnt==B0B||prnt==BP||prnt==BM) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=0.75*5.325+0.25*5.279;
+ nf = 4.0;
+
+ if (dgt==RHO2S0||dgt==RHO2SP||dgt==RHO2SM||dgt==OMEG2S) {
+
+ cfp=0.776;
+ msq=0.33;
+ bx2=0.299*0.299;
+ mbx=0.75*1.45+0.25*1.300;
+ nfp = 0.0;
+
+ }
+ else{
+ if (dgt==D23S1N||dgt==D23S1P||dgt==D23S1B||dgt==D23S10) {
+ cfp=0.929;
+ msq=1.82;
+ bx2=0.38*0.38;
+ mbx=0.75*2.64+0.25*2.58;
+ nfp=3.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_23P1.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==D0||prnt==D0B||prnt==DP||prnt==DM) {
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+
+ if (dgt==RHO2S0||dgt==RHO2SP||dgt==RHO2SM||dgt==OMEG2S) {
+ cfp=0.74;
+ msq=0.33;
+ bx2=0.299*0.299;
+ mbx=0.75*1.45+0.25*1.300;
+ nfp = 0.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_23P1.\n";
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_23P1.\n";
+ }
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+
+ if (t>tm) t = 0.99*tm;
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+
+ mqm = 0.1;
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2) +
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm)/EvtGetas(msq));
+
+ f3 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,3.0/2.0) /
+ (pow((1.0+r2*(tm-t)/24.0),4.0));
+
+ f3fp = f3*pow(( mbb / mtb ),0.5)*pow((mbx/mtx),0.5);
+ f3gp = f3*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),-0.5);
+ f3appam = f3*pow(( mbb / mtb ),-1.5)*pow((mbx/mtx),0.5);
+ f3apmam = f3*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),-0.5);
+
+ tau = msd*msd*bx2*(wt-1.0)/(bb2*bbx2);
+ udef = (( bb2-bx2)/(2.0*bbx2));
+ udef = udef + ((bb2*tau)/(3.0*bbx2));
+
+ *fpf = cfp*sqrt(1.5)*mtb*(1.0+wt)*udef*f3fp;
+
+ *gpf = sqrt(3.0/8.0)*f3gp*(((1.0/msq)-((msd*bb2)/(2.0*mum*mtx*bbx2)))*
+ udef + ( (msd*bb2*bx2)/(3.0*mum*mtx*bbx2*bbx2)));
+
+ appam = f3appam*sqrt(2.0/3.0)*(bb2/(msq*msb*bbx2))*((-7.0*msd*msd*bx2*
+ bx2*(1.0+(tau/7.0))/(8.0*mtb*bbx2*bbx2))+(5.0*msd*bx2*(1.0+
+ (tau/5.0))/(4.0*bbx2))+(3.0*msd*msd*bx2*bx2/(8.0*mtb*bb2*bbx2))-
+ (3.0*msd*bx2/(4.0*bb2)));
+
+ apmam = f3apmam*sqrt(3.0/2.0)*(mtb/(msb*mtx))*(1.0-(bb2*(1.0+(tau/7.0))/
+ bbx2)-(msd*bx2*(1.0-(5.0*bb2*(1.0+(tau/5.0))/(3.0*bbx2)))
+ /(2.0*mtb*bbx2))-(7.0*msd*msd*bb2*bx2/(12.0*msq*mtb*bbx2*bbx2))*
+ (1.0-(bx2/bbx2)+(bb2*tau/(7.0*bbx2))));
+
+ *appf = (appam + apmam) /2.0;
+ *apmf = (appam - apmam) /2.0;
+ return;
+} //get_ff_isgw_23s1
+
+void EvtISGW2FF::EvtISGW2FF1P1 (EvtId parent,EvtId daugt,
+ double t, double mass, double *rf, double *vf,
+ double *spf, double *smf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb, mbb(0.0);
+ double msd(0.0), mx,mb,nf,nfp(0.0);
+ double msq(0.0),bx2(0.0),mbx(0.0),mtx,f5;
+ double f5sppsm,f5spmsm;
+ double f5v,f5r,mup,mum,vv,rr,spmsm,sppsm;
+ double mqm,msb(0.0),bb2(0.0),bbx2,tm,wt,r2;
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+ if (prnt==B0||prnt==B0B||prnt==BP||prnt==BM) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=5.31;
+ nf = 4.0;
+ if (dgt==B10||dgt==B1P||dgt==B1M||dgt==H1||dgt==H1PR) {
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.123+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==D1P1P||dgt==D1P10||dgt==D1P1B||dgt==D1P1N) {
+ msq=1.82;
+ bx2=0.33*0.33;
+ mbx=(5.0*2.46+3.0*2.42)/8.0;
+ nfp = 3.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_1P1.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==DM||prnt==DP||prnt==D0B||prnt==D0) {
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+ if (dgt==B10||dgt==B1P||dgt==B1M||dgt==H1||dgt==H1PR) {
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.123+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==K10||dgt==K1B||dgt==K1P||dgt==K1M) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.27+1.43+5.0*1.43+3.0*1.4)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_1P1.\n";
+ }
+ }
+ }
+ else{
+ //BS -> cs constants added by djl on Jan. 21,1998
+ if (prnt==BS0||prnt==BSB){
+
+ msb=5.2;
+ msd=0.55;
+ bb2=0.54*0.54;
+ mbb=5.38;
+ nf = 4.0;
+
+ if (dgt==D1P1SP||dgt==D1P1SN) {
+
+ msq=1.82;
+ bx2=0.41*0.41;
+ mbx=(5.0*2.61+3.0*2.54)/8.0;
+ nfp = 3.0;
+ }
+ else if (dgt==K10||dgt==K1B||dgt==K1P||dgt==K1M) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.27+1.43+5.0*1.43+3.0*1.4)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"
+ <<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_1P1.\n";
+ }
+ }
+ }
+
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+
+ mqm = 0.1;
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2)+
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm,mqm)/EvtGetas(msq,msq));
+
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0) /
+ (pow((1.0+r2*(tm-t)/18.0),3.0));
+
+ f5v = f5*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),-0.5);
+ f5r = f5*pow(( mbb / mtb ),0.5)*pow((mbx/mtx),0.5);
+ f5sppsm = f5*pow(( mbb / mtb ),-1.5)*pow((mbx/mtx),0.5);
+ f5spmsm = f5*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),-0.5);
+
+ if (msq == msd) {
+ vv = f5v*(((mtb*sqrt(bb2))/(4.0*sqrt(2.0)*msb*msq*mtx)) +
+ (((wt-1)*msd)/(6.0*sqrt(2.0*bb2)*mtx)));
+
+ rr = f5r*mtb*sqrt(bb2/2)*((1.0/mup)+((msd*mtx*(wt-1)*(wt-1))/
+ (3.0*msq*bb2)));
+
+ sppsm = msd*f5sppsm/(sqrt(2.0*bb2)*mtb)*(1.0-(msd/msq)+((msd*bb2)/
+ (2.0*mup*bbx2)));
+
+ spmsm = msd*f5spmsm/(sqrt(2.0*bb2)*msq)*(((4-wt)/3.0)- ( (msd*msq*bb2)/
+ (2.0*mtx*mup*bbx2)));
+
+ } else {
+ vv = -1.0*msd*f5v/(2.0*sqrt(3.0*bb2)*mtx)*
+ ((wt+1)/2.0+bb2*mtb/(2.0*msd*msq*msb));
+
+ rr = -2.0*mtb*sqrt(bb2/3.0)*f5r*(1.0/msq + mtx*msd*(wt-1)/(2.0*bb2)*
+ ((wt+1)/(2.0*msq)-msd*bb2/(2.0*mum*mtx*bbx2)));
+
+ sppsm = -1.0*sqrt(3.0)*msd*f5sppsm/(2.0*sqrt(bb2)*mtb)*(1 - msd/(3.0*msq) -
+ msd*bb2/(3.0*bbx2)*(1.0/(2.0*mum)-1.0/mup));
+
+ spmsm = -1.0*msd*f5spmsm/(2.0*sqrt(3.0*bb2)*mtx)*((2-wt)*mtx/msq +
+ msd*bb2/bbx2*(1.0/(2.0*mum)-1.0/mup));
+
+ }
+
+ //smooth out the mass(meson) dependence a little
+ double parMass=EvtPDL::getMeanMass(prnt);
+ double q2max = parMass*parMass + mass*mass - 2.0*parMass*mass;
+ double massNom= EvtPDL::getMeanMass(dgt);
+ double q2maxNom = parMass*parMass + massNom*massNom - 2.0*parMass*massNom;
+ double q2maxin=sqrt(q2maxNom/q2max);
+ if ( q2maxin > 1000. ) q2maxin=1000.;
+
+ vv*=q2maxin;
+ rr*=q2maxin;
+ sppsm*=q2maxin;
+ spmsm*=q2maxin;
+
+ *vf = vv;
+ *rf = rr;
+ *spf = (sppsm + spmsm)/2.0;
+ *smf = (sppsm - spmsm)/2.0;
+ return;
+} //get_ff_isgw_1p1
+
+
+void EvtISGW2FF::EvtISGW2FF3P1 (EvtId parent,EvtId daugt,
+ double t, double mass, double *lf, double *qf,
+ double *cpf, double *cmf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb, mbb(0.0);
+ double msd(0.0), mx,mb,nf,nfp(0.0);
+ double msq(0.0),bx2(0.0),mbx(0.0),mtx;
+ double f5cppcm,f5cpmcm,f5,ql,ll,cppcm,cpmcm,f5q,f5l;
+ double mqm,msb(0.0),bb2(0.0),mup,mum,bbx2,tm,wt,r2;
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+
+ if (prnt==B0||prnt==B0B||prnt==BP||prnt==BM) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=5.31;
+ nf = 4.0;
+
+ if (dgt==A10||dgt==A1P||dgt==A1M||dgt==F1||dgt==F1PR) {
+
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.23+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==D3P1P||dgt==D3P1N||dgt==D3P10||dgt==D3P1B) {
+ msq=1.82;
+ bx2=0.33*0.33;
+ mbx=(3.0*2.49+2.40)/4.0;
+ nfp = 3.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_3P1.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==D0||prnt==D0B||prnt==DP||prnt==DM) {
+
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+
+ if (dgt==F1||dgt==F1PR||dgt==A10||dgt==A1P||dgt==A1M) {
+
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.23+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==K1STM||dgt==K1STB||dgt==K1STP||dgt==K1ST0) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.40+1.43+5.0*1.43+3.0*1.27)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_3P1.\n";
+ }
+ }
+ }
+ else{
+ //BS -> cs constants added by djl on Jan. 21,1998
+ if (prnt==BS0||prnt==BSB){
+
+ msb=5.2;
+ msd=0.55;
+ bb2=0.54*0.54;
+ mbb=5.38;
+ nf = 4.0;
+
+ if (dgt==D3P1SP||dgt==D3P1SN) {
+
+ msq=1.82;
+ bx2=0.41*0.41;
+ mbx=(3.0*2.54+2.46)/4.0;
+ nfp = 3.0;
+ }
+ else if (dgt==K1STM||dgt==K1STB||dgt==K1STP||dgt==K1ST0) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.40+1.43+5.0*1.43+3.0*1.27)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_3P1.\n";
+ }
+ }
+ }
+
+
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+
+ mqm = 0.1;
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2) +
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm)/EvtGetas(msq));
+
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0) /
+ (pow((1.0+r2*(tm-t)/18.0),3.0));
+
+ f5q = f5*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),-0.5);
+ f5l = f5*pow(( mbb / mtb ),0.5)*pow((mbx/mtx),0.5);
+ f5cppcm = f5*pow(( mbb / mtb ),-1.5)*pow((mbx/mtx),0.5);
+ f5cpmcm = f5*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),-0.5);
+
+ if (msq == msd) {
+
+ ql = -1.0*(msd*(5.0+wt)*f5q/(2.0*mtx*sqrt(bb2)*6.0));
+
+ ll = -1.0*mtb*sqrt(bb2)*f5l*(1/mum+ ( (msd*mtx*(wt-1)/bb2)*
+ ( (5.0+wt)/(6.0*msq)-(msd*bb2)/(2.0*mum*mtx*bbx2))));
+
+ cppcm = (-1.0*(msd*mtx*f5cppcm/(2.0*msq*mtb*sqrt(bb2)))*
+ (1-(msd*msq*bb2)/(2.0*mtx*mum*bbx2)));
+
+ cpmcm = 1.0*(msd*mtx*f5cpmcm/(2.0*msq*mtb*sqrt(bb2)))*
+ (((wt+2.0)/3.0)-(msd*msq*bb2)/(2.0*mtx*mum*bbx2))
+ *(mtb/mtx);
+ } else {
+
+ ql = f5q*sqrt(1.0/6.0)*msd/(sqrt(bb2)*mtx)*
+ (1.0-bb2*mtb/(4.0*msd*msq*msb));
+ ll = f5l*sqrt(2.0/3.0)*mtb*sqrt(bb2)*(1.0/(2.0*msq) - 3.0/(2.0*msb) +
+ msd*mtx*(wt-1)/bb2*(1.0/msq-msd*bb2/(2.0*mum*mtx*bbx2)));
+ cppcm = msd*msd*bx2*f5cppcm/(sqrt(6.0)*mtb*msq*sqrt(bb2)*bbx2);
+ cpmcm = -sqrt(2.0/3.0)*msd*f5cpmcm/(sqrt(bb2)*mtx)*
+ (1+msd*bx2/(2.0*msq*bbx2));
+ }
+
+ //smooth out the mass(meson) dependence a little
+ double parMass=EvtPDL::getMeanMass(prnt);
+ double q2max = parMass*parMass + mass*mass - 2.0*parMass*mass;
+ double massNom= EvtPDL::getMeanMass(dgt);
+ double q2maxNom = parMass*parMass + massNom*massNom - 2.0*parMass*massNom;
+ double q2maxin=sqrt(q2maxNom/q2max);
+ if ( q2maxin > 1000. ) q2maxin=1000.;
+ ql*=q2maxin;
+ ll*=q2maxin;
+ cppcm*=q2maxin;
+ cpmcm*=q2maxin;
+
+ *qf = ql;
+ *lf = ll;
+ *cpf = (cppcm + cpmcm)/2.0;
+ *cmf = (cppcm - cpmcm)/2.0;
+ return;
+} //get_ff_isgw_3p1
+
+
+void EvtISGW2FF::EvtISGW2FF3P0 (EvtId parent,EvtId daugt,
+ double t, double mass, double *upf, double *umf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb, mbb(0.0);
+ double msd(0.0), mx,mb,nf,nfp(0.0);
+ double msq(0.0),bx2(0.0),mbx(0.0),mtx;
+ double f5uppum,f5upmum,uppum,upmum,f5;
+ double mqm,mum,mup,wt,r2,bb2(0.0),bbx2,msb(0.0),tm;
+
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+
+ if (prnt==B0||prnt==B0B||prnt==BP||prnt==BM) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=5.31;
+ nf = 4.0;
+ if (dgt==A00||dgt==A0P||dgt==A0M||dgt==F0||dgt==F0PR) {
+
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.23+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==D3P0P||dgt==D3P0N||dgt==D3P00||dgt==D3P0B) {
+ msq=1.82;
+ bx2=0.33*0.33;
+ mbx=(3.0*2.49+2.40)/4.0;
+ nfp = 3.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_EvtISGW2_ff_3P0.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==D0||prnt==D0B||prnt==DP||prnt==DM) {
+
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+ if (dgt==F0||dgt==F0PR||dgt==A00||dgt==A0P||dgt==A0M) {
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.23+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==K0STM||dgt==K0STB||dgt==K0STP||dgt==K0ST0) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.40+1.43+5.0*1.43+3.0*1.27)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_EvtISGW2_ff_3P0.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==DSP||prnt==DSM){
+ msb=1.82;
+ msd=0.55;
+ bb2=0.56*0.56;
+ mbb=1.968;
+ nf = 3.0;
+
+ if (dgt==F0||dgt==F0PR||dgt==A00||dgt==A0P||dgt==A0M) {
+ msq=0.55;
+ bx2=0.33*0.33;
+ mbx=(3.0*1.40+1.43+5.0*1.43+3.0*1.27)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ if (dgt==K0STM||dgt==K0STB||dgt==K0STP||dgt==K0ST0) {
+ msq=0.33;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.23+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_EvtISGW2_ff_3P0.\n";
+ }
+ }
+ }
+ else{
+ //BS -> cs constants added by djl on Jan. 21,1998
+ if (prnt==BS0||prnt==BSB){
+
+ msb=5.2;
+ msd=0.55;
+ bb2=0.54*0.54;
+ mbb=5.38;
+ nf = 4.0;
+
+ if (dgt==D3P0SP||dgt==D3P0SN) {
+
+ msq=1.82;
+ bx2=0.41*0.41;
+ mbx=(3.0*2.54+2.46)/4.0;
+ nfp = 3.0;
+ }
+ else if (dgt==K0STM||dgt==K0STB||dgt==K0STP||dgt==K0ST0) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.40+1.43+5.0*1.43+3.0*1.27)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_EvtISGW2_ff_3P0.\n";
+ }
+ }
+ }
+ }
+
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+
+ mqm = 0.1;
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2) +
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm)/EvtGetas(msq));
+
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0) /
+ (pow((1.0+r2*(tm-t)/18.0),3.0));
+
+ f5uppum = f5*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),0.5);
+ f5upmum = f5*pow(( mbb / mtb ),0.5)*pow((mbx/mtx),-0.5);
+
+ uppum = -1.0*f5uppum*sqrt(2.0/(3.0*bb2))*msd;
+ upmum = 1.0*f5upmum*sqrt(2.0/(3.0*bb2))*msd*mtb/mtx;
+
+ *upf = (uppum + upmum)/2.0;
+ *umf = (uppum - upmum)/2.0;
+
+ return;
+
+}
+
+
+void EvtISGW2FF::EvtISGW2FF3P2 (EvtId parent,EvtId daugt,
+ double t, double mass, double *hf, double *kf,
+ double *bpf, double *bmf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("D(2S)+");
+ static EvtId D21S0N=EvtPDL::getId("D(2S)-");
+ static EvtId D21S00=EvtPDL::getId("D(2S)0");
+ static EvtId D21S0B=EvtPDL::getId("anti-D(2S)0");
+
+ static EvtId D23S1P=EvtPDL::getId("D*(2S)+");
+ static EvtId D23S1N=EvtPDL::getId("D*(2S)-");
+ static EvtId D23S10=EvtPDL::getId("D*(2S)0");
+ static EvtId D23S1B=EvtPDL::getId("anti-D*(2S)0");
+
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+
+ double mtb, mbb(0.0);
+ double msd(0.0), mx,mb,nf,nfp(0.0);
+ double msq(0.0),bx2(0.0),mbx(0.0),mtx,f5;
+ double f5h,f5k,f5bppbm,f5bpmbm,bppbm,bpmbm;
+ double mqm,mum,mup,tm,wt,r2,bb2(0.0),bbx2;
+ double msb(0.0);
+ EvtId prnt=parent;
+ EvtId dgt=daugt;
+
+ if (prnt==B0||prnt==B0B||prnt==BP||prnt==BM) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.431*0.431;
+ mbb=5.31;
+ nf = 4.0;
+
+ if (dgt==A20||dgt==A2P||dgt==A2M||dgt==F2||dgt==F2PR) {
+
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.23+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+
+ }
+
+ else{
+ if (dgt==D3P2P||dgt==D3P2N||dgt==D3P20||dgt==D3P2B) {
+
+ msq=1.82;
+ bx2=0.33*0.33;
+ mbx=(5.0*2.46+3.0*2.42)/8.0;
+ nfp = 3.0;
+ }
+ else{
+
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_3P2.\n";
+ }
+ }
+ }
+ else{
+ if (prnt==D0||prnt==D0B||prnt==DP||prnt==DM) {
+
+ msb=1.82;
+ msd=0.33;
+ bb2=0.45*0.45;
+ mbb=1.963;
+ nf = 3.0;
+ if (dgt==F2||dgt==F2PR||dgt==A20||dgt==A2P||dgt==A2M) {
+ msq=0.33;
+ bx2=0.275*0.275;
+ mbx=(3.0*1.23+0.98+5.0*1.32+3.0*1.26)/12.0;
+ nfp = 0.0;
+ }
+ else{
+ if (dgt==K2STM||dgt==K2STB||dgt==K2STP||dgt==K2ST0) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.40+1.43+5.0*1.43+3.0*1.27)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_3P2.\n";
+ }
+ }
+ }
+ else{
+ //BS -> cs constants added by djl on Jan. 21,1998
+ if (prnt==BS0||prnt==BSB){
+
+ msb=5.2;
+ msd=0.55;
+ bb2=0.54*0.54;
+ mbb=5.38;
+ nf = 4.0;
+
+ if (dgt==D3P2SP||dgt==D3P2SN) {
+
+ msq=1.82;
+ bx2=0.41*0.41;
+ mbx=(5.0*2.61+3.0*2.54)/8.0;
+ nfp = 3.0;
+ }
+ else if (dgt==K2STM||dgt==K2STB||dgt==K2STP||dgt==K2ST0) {
+ msq=0.55;
+ bx2=0.30*0.30;
+ mbx=(3.0*1.40+1.43+5.0*1.43+3.0*1.27)/12.0;
+ nfp = 2.0;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt:"<<daugt.getId()<<" in get_isgw_ff_1S0.\n";
+ }
+ }
+
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_3P2.\n";
+ }
+ }
+ }
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+ wt=1.0+(tm-t)/(2.0*mbb*mbx);
+
+ mqm = 0.1;
+ r2=3.0/(4.0*msb*msq)+3*msd*msd/(2*mbb*mbx*bbx2)+
+ (16.0/(mbb*mbx*(33.0-2.0*nfp)))*
+ log(EvtGetas(mqm)/EvtGetas(msq));
+
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0) /
+ (pow((1.0+r2*(tm-t)/18.0),3.0));
+
+ f5h = f5*pow(( mbb / mtb ),-1.5)*pow((mbx/mtx),-0.5);
+ f5k = f5*pow(( mbb / mtb ),-0.5)*pow((mbx/mtx),0.5);
+ f5bppbm = f5*pow(( mbb / mtb ),-2.5)*pow((mbx/mtx),0.5);
+ f5bpmbm = f5*pow(( mbb / mtb ),-1.5)*pow((mbx/mtx),-0.5);
+
+ *hf = f5h*(msd/(sqrt(8.0*bb2)*mtb))*((1.0/msq)-(msd*bb2/(2.0*mum*
+ mtx*bbx2)));
+
+ *kf = f5k*(msd/(sqrt(2.0*bb2)))*(1.0+wt);
+
+ bppbm = ((msd*msd*f5bppbm*bx2)/(sqrt(32.0*bb2)*msq*msb*mtb*bbx2))*
+ (1.0-(msd*bx2/(2.0*mtb*bbx2)));
+
+ bpmbm = -1.0*(msd*f5bpmbm/(sqrt(2.0*bb2)*msb*mtx))*(1.0-
+ ((msd*msb*bx2)/(2.0*mup*mtb*bbx2))+((msd*bx2*(1.0-
+ ((msd*bx2)/(2.0*mtb*bbx2))))/(4.0*msq*bbx2)));
+
+ *bpf = (bppbm + bpmbm)/2.0;
+ *bmf = (bppbm - bpmbm)/2.0;
+ return;
+} //get_ff_isgw_1p1
+
+
+double EvtISGW2FF::EvtGetGammaji ( double z )
+
+{
+double temp;
+
+ temp = 2+((2.0*z)/(1-z))*log(z);
+ temp = -1.0*temp;
+
+ return temp;
+
+} //EvtGetGammaji
+
+
+
+double EvtISGW2FF::EvtGetas ( double massq, double massx )
+{
+ double lqcd2 = 0.04;
+ double nflav = 4;
+ double temp = 0.6;
+
+ if ( massx > 0.6 ) {
+ if ( massq < 1.85 ) {
+ nflav = 3.0;}
+
+ temp = 12.0*EvtConst::pi / ( 33.0 - 2.0*nflav) /
+ log( massx*massx/lqcd2);
+ }
+ return temp;
+
+} //EvtGetas
+
+double EvtISGW2FF::EvtGetas ( double mass )
+
+{
+ double lqcd2 = 0.04;
+ double nflav = 4;
+ double temp = 0.6;
+
+ if ( mass > 0.6 ) {
+ if ( mass < 1.85 ) {
+ nflav = 3.0;}
+
+ temp = 12.0*EvtConst::pi / ( 33.0 - 2.0*nflav) /
+ log( mass*mass/lqcd2);
+ }
+ return temp;
+
+} //EvtGetas
+
+
+void EvtISGW2FF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtISGW2FF.\n";
+
+ ::abort();
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtISGW2FF.hh
+//
+// Description:Form factor routines specific to EvtISGW2
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTISGW2FF_HH
+#define EVTISGW2FF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+class EvtId;
+
+class EvtISGW2FF : public EvtSemiLeptonicFF {
+
+public:
+
+ void getscalarff( EvtId parent, EvtId daught,
+ double t, double mass, double *fpf,
+ double *f0f );
+ void getvectorff( EvtId parent, EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+ void gettensorff( EvtId parent, EvtId daught,
+ double t, double mass, double *hf,
+ double *kf, double *bpf, double *bmf );
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+
+private:
+
+ // getscalarff, getvectorff, and gettensorff call the
+ // correct isgw2 form factor routine which computes
+ // form factors according to the ISGW2 paper.
+
+
+ void EvtISGW2FF3S1( EvtId parent, EvtId daught,
+ double t, double mass, double *ff, double *gf,
+ double *apf, double *amf);
+ void EvtISGW2FF23S1( EvtId parent, EvtId daught,
+ double t, double mass,double *fpf, double *gpf,
+ double *app, double *apm);
+ void EvtISGW2FF3P1( EvtId parent, EvtId daught,
+ double t, double mass,double *lf, double *qf,
+ double *cpf, double *cmf);
+ void EvtISGW2FF3P0( EvtId parent, EvtId daught,
+ double t, double mass, double *upf, double *umf);
+ void EvtISGW2FF1S0( EvtId parent, EvtId daught,
+ double t, double mass,double *fpf, double *fmf);
+ void EvtISGW2FF21S0( EvtId parent, EvtId daught,
+ double t, double mass, double *fppf, double *fpmf);
+ void EvtISGW2FF3P2( EvtId parent, EvtId daught,
+ double t, double mass, double *h, double *k,
+ double *bp, double *bm);
+ void EvtISGW2FF1P1( EvtId parent, EvtId daught,
+ double t, double mass, double *rf, double *vf,
+ double *spf, double *smf);
+
+ double EvtGetas( double mass );
+ double EvtGetas( double mass,double mass1 );
+ double EvtGetGammaji( double z );
+
+};
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtISGWFF.cc
+//
+// Description: Routine to implement semileptonic form factors
+// according to the model ISGW
+//
+// Modification history:
+//
+// DJL April 17, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtISGWFF.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include <math.h>
+#include <stdlib.h>
+using std::endl;
+
+void EvtISGWFF::getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *fpf,
+ double *f0f ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+ double fmf;
+ double mb=EvtPDL::getMeanMass(parent);
+
+ if (daught==PI0||daught==PIP||daught==PIM||daught==ETA||
+ daught==ETAPR||daught==D0||daught==D0B||daught==DP||
+ daught==DM||daught==KP||daught==KM||daught==K0||daught==K0L||
+ daught==KB||daught==DSP||daught==DSM||daught==K0S) {
+
+ EvtISGW1FF1S0(parent,daught,t,mass,fpf,&fmf);
+ }
+
+ if (daught==PI2S0||daught==PI2SP||daught==PI2SM||daught==ETA2S||
+ daught==D21S0P||daught==D21S0B||daught==D21S0N||daught==D21S00){
+ EvtISGW1FF21S0(parent,daught,t,mass,fpf,&fmf);
+ }
+
+ if (daught==A00||daught==A0P||daught==A0M||daught==F0||
+ daught==F0PR||daught==D3P0P||daught==D3P00||daught==D3P0B||
+ daught==D3P0N||daught==K0STM||daught==K0STB||daught==K0STP||
+ daught==D3P0SP||daught==D3P0SN||
+ daught==K0ST0) {
+ EvtISGW1FF3P0(parent,daught,t,mass,fpf,&fmf);
+ }
+
+ *f0f = (fmf/((mb*mb-mass*mass)/t))+(*fpf);
+
+ return ;
+}
+
+ void EvtISGWFF::gettensorff(EvtId parent,EvtId daught,
+ double t, double mass, double *hf,
+ double *kf, double *bpf, double *bmf ){
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ EvtISGW1FF3P2(parent,daught,t,mass,hf,kf,bpf,bmf);
+
+ return;
+
+ }
+
+
+ void EvtISGWFF::getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double ff,gf,apf,amf;
+
+ if (daught==DST0||daught==DSTP||daught==DSTM||daught==DSTB||
+ daught==OMEG||daught==RHO0||daught==RHOM||daught==RHOP||
+ daught==KSTP||daught==KSTM||daught==KST0||daught==KSTB||
+ daught==PHI||daught==DSSTP||daught==DSSTM) {
+ EvtISGW1FF3S1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+ if (daught==B10||daught==B1P||daught==B1M||daught==H1||
+ daught==H1PR||daught==D1P1P||daught==D1P10||daught==D1P1B||
+ daught==D1P1SP||daught==D1P1SN||
+ daught==D1P1N||daught==K10||daught==K1B||daught==K1P||
+ daught==K1M) {
+ EvtISGW1FF1P1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+ if (daught==RHO2S0||daught==RHO2SP||daught==RHO2SM||daught==OMEG2S||
+ daught==D23S1P||daught==D23S1B||daught==D23S1N||daught==D23S10){
+ EvtISGW1FF23S1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+ if (daught==A10||daught==A1P||daught==A1M||daught==F1||
+ daught==F1PR||daught==D3P1P||daught==D3P10||daught==D3P1B||
+ daught==D3P1N||daught==K1STM||daught==K1STB||daught==K1STP||
+ daught==D3P1SP||daught==D3P1SN||
+ daught==K1ST0) {
+ EvtISGW1FF3P1(parent,daught,t,mass,&ff,&gf,&apf,&amf);
+ }
+
+ // Need to stuff in some factors to make these the ffs that
+ // is used elsewhere...
+
+ double mb=EvtPDL::getMeanMass(parent);
+
+
+ *vf = (gf)*(mb+mass);
+ *a1f = (ff)/(mb+mass);
+ *a2f = -1.0*(apf)*(mb+mass);
+ double a3f = ((mb+mass)/(2.0*mass))*(*a1f) -
+ ((mb-mass)/(2.0*mass))*(*a2f);
+
+ *a0f = a3f - ( (t*amf)/(2.0*mass));
+
+
+
+ return;
+ }
+
+
+
+void EvtISGWFF::EvtISGW1FF3P2 (EvtId parent,EvtId daugt,
+ double t, double mass,
+ double *hf, double *kf, double *bpf, double *bmf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb;
+ double msd(0.0), mx(0.0), mb(0.0);
+ double msq(0.0), bx2(0.0),mtx,f5;
+ double mum,mup,tm,bb2(0.0),bbx2;
+ double msb(0.0), kap;
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==A20||daugt==A2P||daugt==A2M||daugt==F2||daugt==F2PR) {
+ msq=0.33;
+ bx2=0.27*0.27;
+ }
+ else{
+ if (daugt==D3P2P||daugt==D3P2N||daugt==D3P2B||daugt==D3P20) {
+ msq=1.82;
+ bx2=0.34*0.34;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_3P1.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_3P1.\n";
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+ kap = 0.7*0.7;
+
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *hf = f5*(msd/(sqrt(8.0*bb2)*mtb))*((1.0/msq)-(msd*bb2/(2.0*mum*
+ mtx*bbx2)));
+
+ *kf = f5*msd*sqrt(2.0/bb2);
+
+ *bpf = (-1.0*f5*msd/(sqrt(8.0*bb2)*msb*mtx))*(1.0-(msd*msb*bx2/(
+ 2.0*mup*mtb*bbx2))+(msd*msb*bx2*(1.0-(msd*bx2/(2.0*mtb*bbx2)))/
+ (4.0*mtb*mum*bbx2)));
+ *bmf = 0.0;
+ return;
+} //get_ff_isgw_1p1
+
+void EvtISGWFF::EvtISGW1FF1S0 ( EvtId parent, EvtId daugt,
+ double t, double mass, double *fpf, double *fmf ) {
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb;
+ double msd(0.0), mx(0.0), mb(0.0);
+ double msq(0.0), bx2(0.0),mtx;
+ double f3,kap;
+ double msb(0.0),bb2(0.0),mup,mum,bbx2,tm;
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==PIP||daugt==PIM||daugt==PI0||daugt==ETA||daugt==ETAPR) {
+ msq=0.33;
+ bx2=0.31*0.31;
+ }
+ else{
+ if (daugt==D0||daugt==DP||daugt==DM||daugt==D0B) {
+ msq=1.82;
+ bx2=0.39*0.39;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_1S0.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_1S0.\n";
+ report(ERROR,"EvtGen") << "Parent:"<<parent.getId()<<endl;
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if ( t>tm ) t=0.99*tm;
+
+ kap = 0.7*0.7;
+ f3 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,3.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *fpf = f3*(1+(msb/(2.0*mum))-(msb*msq*msd*bb2/(4.0*mup*mum*mtx*bbx2)));
+ *fmf = f3*(1.0-(mtb+mtx)*(0.5/msq-(msd*bb2/(4.0*mup*mtx*bbx2))));
+
+ return;
+} //get_ff_isgw_1s0
+
+
+
+void EvtISGWFF::EvtISGW1FF3S1(EvtId parent,EvtId daugt,double t,
+ double mass, double *f,double *g,double *ap,double *am){
+
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double msd(0.0),mup,msq(0.0),bb2(0.0),mum,mtx,bbx2;
+ double bx2(0.0),msb(0.0),tm;
+ double mb,mx,f3, kap;
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==DSTP||daugt==DSTM||daugt==DSTB||daugt==DST0) {
+ msq=1.82;
+ bx2=0.39*0.39;
+ }
+ else{
+ if (daugt==RHOP||daugt==RHOM||daugt==RHO0||daugt==OMEG) {
+ msq=0.33;
+ bx2=0.31*0.31;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_3S1.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_3S1.\n";
+ }
+
+ double mtb;
+
+ mtb=msb+msd;
+ mtx=msq+msd;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ mb=EvtPDL::getMeanMass(parent);
+ mx=mass;
+ tm=(mb-mx)*(mb-mx);
+ if ( t > tm ) t = 0.99*tm;
+
+ kap = 0.7*0.7;
+ f3 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,3.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *f=2.0*mtb*f3;
+ *g=0.5*f3*((1/msq)-(msd*bb2/(2.0*mum*mtx*bbx2)));
+ *ap=(-1.0*f3/(2.0*mtx))*(1.0+(msd*(bb2-bx2)/(msb
+ *(bb2+bx2)))-(msd*msd*bx2*bx2/(4.0*mum*mtb*bbx2*bbx2)));
+ *am=0.0;
+
+}
+
+void EvtISGWFF::EvtISGW1FF23S1 (EvtId parent,EvtId daugt,
+ double t, double mass, double *fpf, double *gpf,
+ double *appf, double *apmf ) {
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb;
+ double msd(0.0), mx(0.0), mb(0.0);
+ double msq(0.0), bx2(0.0),mtx;
+ double f3,f5,tt;
+ double mum,mup,bb2(0.0),bbx2,tm,msb(0.0);
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==RHO2SP||daugt==RHO2SM||daugt==RHO2S0||daugt==OMEG2S) {
+ msq=0.33;
+ bx2=0.31*0.31;
+ }
+ else{
+ if (daugt==D23S1N||daugt==D23S10||daugt==D23S1P||daugt==D23S1B) {
+ msq=1.82;
+ bx2=0.39*0.39;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_23P1.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_23P1.\n";
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+
+ double kap = 0.7*0.7;
+ f3 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,3.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *fpf = sqrt(6.0)*f3*mtb*( ((bb2-bx2)/(bb2+bx2)) + ((msd*msd*bx2*
+ (tm-t))/(6.0*mtx*mtb*bbx2*kap*bbx2)));
+
+ *gpf = sqrt(3.0/8.0)*f3*( ((((bb2-bx2)/(bb2+bx2)) + ((msd*msd*bx2*
+ (tm-t))/(6.0*mtx*mtb*bbx2*kap*bbx2)))*
+ ((1.0/msq)-((msd*bb2)/(2.0*mum*mtx*bbx2)))) +
+ ((msd*bb2*bx2)/(3.0*mum*mtx*bbx2*bbx2)));
+
+ tt = (msd*msd*bx2*(tm-t))/(mtx*mtb*bb2*kap*bbx2);
+
+ *appf = (f5/(sqrt(6.0)*mtx))* ( ((3.0*mtb*bbx2/(2.0*msb*sqrt(bb2*bx2)))*
+ (1.0 - ( (msd*msd*msb*bx2*bx2)/(4.0*mtb*mtb*mum*bbx2*bbx2)))) -
+ ( (3.0*msd*sqrt(bx2/bb2))/(2.0*msb)) +
+ ( (5.0*msd*sqrt(bx2*bb2)*(1.0 + 0.1*tt))/(2.0*msb*bbx2)) -
+ ( (3.0*mtb*sqrt(bb2/bx2)*(1.0 + (tt/6.0)))/(2.0*msb)) +
+ ( (7.0*msd*msd*sqrt(bb2/bx2)*bx2*bx2*(1.0 + (tt/14.0))) /
+ (8.0*mtb*mum*bbx2*bbx2)));
+
+ *apmf = 0.0;
+ return;
+} //get_ff_isgw_23s1
+
+
+void EvtISGWFF::EvtISGW1FF3P1 (EvtId parent,EvtId daugt,
+ double t, double mass,
+ double *lf, double *qf, double *cpf, double *cmf ) {
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb;
+ double msd(0.0), mx(0.0), mb(0.0);
+ double msq(0.0), bx2(0.0),mtx,f5;
+ double msb(0.0),bb2(0.0),mup,mum,bbx2,tm;
+ double kap;
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==A10||daugt==A1P||daugt==A1M||daugt==F1||daugt==F1PR) {
+ msq=0.33;
+ bx2=0.27*0.27;
+ }
+ else{
+ if (daugt==D3P1P||daugt==D3P1N||daugt==D3P1B||daugt==D3P10) {
+ msq=1.82;
+ bx2=0.34*0.34;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_3P1.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_3P1.\n";
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+
+ kap = 0.7*0.7;
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *qf = (f5*msd)/(2.0*mtx*sqrt(bb2));
+
+ *lf = -1.0*mtb*sqrt(bb2)*f5*(1/mum+(msd*(tm-t)/(2.0*mtb*
+ kap*bb2))*((1.0/msq)-(1.0*msd*bb2/(2.0*mum*mtx*bbx2))));
+
+ *cpf = (f5*msd*msb/(4.0*mtb*sqrt(bb2)*mum))*(1.0-(msd*msq*bb2/(
+ 2.0*mtx*mum*bbx2)));
+ *cmf = 0.0;
+ return;
+} //get_ff_isgw_3p1
+
+
+
+void EvtISGWFF::EvtISGW1FF3P0 (EvtId parent,EvtId daugt,
+ double t, double mass, double *upf, double *umf ) {
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb;
+ double msd(0.0), mx(0.0), mb(0.0);
+ double msq(0.0), bx2(0.0),mtx;
+ double f5;
+ double mum,mup,bb2(0.0),bbx2,msb(0.0),tm;
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==A00||daugt==A0P||daugt==A0M||daugt==F0||daugt==F0PR) {
+ msq=0.33;
+ bx2=0.27*0.27;
+ }
+ else{
+ if (daugt==D3P0P||daugt==D3P0N||daugt==D3P0B||daugt==D3P00) {
+ msq=1.82;
+ bx2=0.34*0.34;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_3P0.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_3P0.\n";
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+
+ double kap = 0.7*0.7;
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *upf = f5*msd*msq*msb/(sqrt(6.0*bb2)*mtx*mum);
+ *umf = 0.0;
+ return;
+} //get_ff_isgw_3p0
+
+
+
+void EvtISGWFF::EvtISGW1FF1P1 (EvtId parent,EvtId daugt,
+ double t, double mass,
+ double *vf, double *rf, double *spf, double *smf ) {
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb;
+ double msd(0.0), mx(0.0), mb(0.0);
+ double msq(0.0), bx2(0.0),mtx,f5;
+ double mup,mum,kap;
+ double msb(0.0),bb2(0.0),bbx2,tm;
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==H1||daugt==H1PR||daugt==B10||daugt==B1P||daugt==B1M) {
+ msq=0.33;
+ bx2=0.27*0.27;
+ }
+ else{
+ if (daugt==D1P1P||daugt==D1P1N||daugt==D1P10||daugt==D1P1B) {
+ msq=1.82;
+ bx2=0.34*0.34;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw_ff_3P1.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw_ff_3P1.\n";
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+
+ kap = 0.7*0.7;
+ f5 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,5.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *vf = f5*(((mtb*sqrt(bb2))/(4.0*sqrt(2.0)*msb*msq*mtx)));
+ *rf = f5*mtb*sqrt(bb2/2)*((1.0/mup));
+
+ *spf = (f5*msd/(sqrt(2.0*bb2)*mtb))*(1.0+(msb/(2.0*mum))-
+ (msb*msq*msd*bb2/(4.0*mup*mum*mtx*bbx2)));
+ *smf = 0.0;
+
+ return;
+//get_ff_isgw_1p1
+
+}
+
+void EvtISGWFF::EvtISGW1FF21S0 (EvtId parent,EvtId daugt,
+ double t, double mass, double *fppf, double *fpmf ) {
+ //added by Lange Jan4,2000
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId EP=EvtPDL::getId("e+");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId MUP=EvtPDL::getId("mu+");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ static EvtId TAUP=EvtPDL::getId("tau+");
+
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId DST0=EvtPDL::getId("D*0");
+ static EvtId DSTB=EvtPDL::getId("anti-D*0");
+ static EvtId DSTP=EvtPDL::getId("D*+");
+ static EvtId DSTM=EvtPDL::getId("D*-");
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+
+ static EvtId D1P1P=EvtPDL::getId("D_1+");
+ static EvtId D1P1N=EvtPDL::getId("D_1-");
+ static EvtId D1P10=EvtPDL::getId("D_10");
+ static EvtId D1P1B=EvtPDL::getId("anti-D_10");
+
+ static EvtId D3P2P=EvtPDL::getId("D_2*+");
+ static EvtId D3P2N=EvtPDL::getId("D_2*-");
+ static EvtId D3P20=EvtPDL::getId("D_2*0");
+ static EvtId D3P2B=EvtPDL::getId("anti-D_2*0");
+
+ static EvtId D3P1P=EvtPDL::getId("D'_1+");
+ static EvtId D3P1N=EvtPDL::getId("D'_1-");
+ static EvtId D3P10=EvtPDL::getId("D'_10");
+ static EvtId D3P1B=EvtPDL::getId("anti-D'_10");
+
+ static EvtId D3P0P=EvtPDL::getId("D_0*+");
+ static EvtId D3P0N=EvtPDL::getId("D_0*-");
+ static EvtId D3P00=EvtPDL::getId("D_0*0");
+ static EvtId D3P0B=EvtPDL::getId("anti-D_0*0");
+
+ static EvtId D21S0P=EvtPDL::getId("hi");
+ static EvtId D21S0N=EvtPDL::getId("hi");
+ static EvtId D21S00=EvtPDL::getId("hi");
+ static EvtId D21S0B=EvtPDL::getId("hi");
+
+ static EvtId D23S1P=EvtPDL::getId("hi");
+ static EvtId D23S1N=EvtPDL::getId("hi");
+ static EvtId D23S10=EvtPDL::getId("hi");
+ static EvtId D23S1B=EvtPDL::getId("hi");
+
+ static EvtId RHO2S0=EvtPDL::getId("rho(2S)0");
+ static EvtId RHO2SP=EvtPDL::getId("rho(2S)+");
+ static EvtId RHO2SM=EvtPDL::getId("rho(2S)-");
+ static EvtId OMEG2S=EvtPDL::getId("omega(2S)");
+ static EvtId ETA2S=EvtPDL::getId("eta(2S)");
+
+ static EvtId PI2S0=EvtPDL::getId("pi(2S)0");
+ static EvtId PI2SP=EvtPDL::getId("pi(2S)+");
+ static EvtId PI2SM=EvtPDL::getId("pi(2S)-");
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ static EvtId RHOP=EvtPDL::getId("rho+");
+ static EvtId RHOM=EvtPDL::getId("rho-");
+ static EvtId RHO0=EvtPDL::getId("rho0");
+
+ static EvtId A2P=EvtPDL::getId("a_2+");
+ static EvtId A2M=EvtPDL::getId("a_2-");
+ static EvtId A20=EvtPDL::getId("a_20");
+
+ static EvtId A1P=EvtPDL::getId("a_1+");
+ static EvtId A1M=EvtPDL::getId("a_1-");
+ static EvtId A10=EvtPDL::getId("a_10");
+
+ static EvtId A0P=EvtPDL::getId("a_0+");
+ static EvtId A0M=EvtPDL::getId("a_0-");
+ static EvtId A00=EvtPDL::getId("a_00");
+
+ static EvtId B1P=EvtPDL::getId("b_1+");
+ static EvtId B1M=EvtPDL::getId("b_1-");
+ static EvtId B10=EvtPDL::getId("b_10");
+
+ static EvtId H1=EvtPDL::getId("h_1");
+ static EvtId H1PR=EvtPDL::getId("h'_1");
+
+ static EvtId F1=EvtPDL::getId("f_1");
+ static EvtId F1PR=EvtPDL::getId("f'_1");
+ static EvtId F0=EvtPDL::getId("f_0");
+ static EvtId F0PR=EvtPDL::getId("f'_0");
+ static EvtId F2=EvtPDL::getId("f_2");
+ static EvtId F2PR=EvtPDL::getId("f'_2");
+
+ static EvtId ETA=EvtPDL::getId("eta");
+ static EvtId ETAPR=EvtPDL::getId("eta'");
+ static EvtId OMEG=EvtPDL::getId("omega");
+
+ static EvtId KP=EvtPDL::getId("K+");
+ static EvtId KM=EvtPDL::getId("K-");
+ static EvtId K0=EvtPDL::getId("K0");
+ static EvtId KB=EvtPDL::getId("anti-K0");
+ static EvtId K0S=EvtPDL::getId("K_S0");
+ static EvtId K0L=EvtPDL::getId("K_L0");
+
+ static EvtId KSTP=EvtPDL::getId("K*+");
+ static EvtId KSTM=EvtPDL::getId("K*-");
+ static EvtId KST0=EvtPDL::getId("K*0");
+ static EvtId KSTB=EvtPDL::getId("anti-K*0");
+
+ static EvtId K1P=EvtPDL::getId("K_1+");
+ static EvtId K1M=EvtPDL::getId("K_1-");
+ static EvtId K10=EvtPDL::getId("K_10");
+ static EvtId K1B=EvtPDL::getId("anti-K_10");
+
+ static EvtId K1STP=EvtPDL::getId("K'_1+");
+ static EvtId K1STM=EvtPDL::getId("K'_1-");
+ static EvtId K1ST0=EvtPDL::getId("K'_10");
+ static EvtId K1STB=EvtPDL::getId("anti-K'_10");
+
+ static EvtId K2STP=EvtPDL::getId("K_2*+");
+ static EvtId K2STM=EvtPDL::getId("K_2*-");
+ static EvtId K2ST0=EvtPDL::getId("K_2*0");
+ static EvtId K2STB=EvtPDL::getId("anti-K_2*0");
+
+ static EvtId K0STP=EvtPDL::getId("K_0*+");
+ static EvtId K0STM=EvtPDL::getId("K_0*-");
+ static EvtId K0ST0=EvtPDL::getId("K_0*0");
+ static EvtId K0STB=EvtPDL::getId("anti-K_0*0");
+
+ static EvtId PHI=EvtPDL::getId("phi");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D1P1SP=EvtPDL::getId("D_s1+");
+ static EvtId D1P1SN=EvtPDL::getId("D_s1-");
+
+ static EvtId D3P0SP=EvtPDL::getId("D_s0*+");
+ static EvtId D3P0SN=EvtPDL::getId("D_s0*-");
+
+ static EvtId D3P1SP=EvtPDL::getId("D'_s1*+");
+ static EvtId D3P1SN=EvtPDL::getId("D'_s1*-");
+
+ static EvtId D3P2SP=EvtPDL::getId("D_s2*+");
+ static EvtId D3P2SN=EvtPDL::getId("D_s2*-");
+
+ static EvtId DSSTP=EvtPDL::getId("D_s*+");
+ static EvtId DSSTM=EvtPDL::getId("D_s*-");
+
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ double mtb;
+ double msd(0.0), mx(0.0), mb(0.0);
+ double msq(0.0), bx2(0.0),mtx;
+ double f3;
+ double msb(0.0);
+ double mum,mup,tm,bb2(0.0),bbx2;
+
+ if (parent==BM||parent==BP||parent==B0||parent==B0B) {
+ msb=5.2;
+ msd=0.33;
+ bb2=0.41*0.41;
+ if (daugt==PI2S0||daugt==PI2SP||daugt==PI2SM||daugt==ETA2S){
+ msq=0.33;
+ bx2=0.31*0.31;
+ }
+ else{
+ if (daugt==D21S00||daugt==D21S0P||daugt==D21S0N||daugt==D21S0B) {
+ msq=1.82;
+ bx2=0.39*0.39;
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented daugt in get_isgw1_ff_21S0.\n";
+ }
+ }
+ }
+ else{
+ report(ERROR,"EvtGen") << "Not implemented parent in get_isgw1_ff_21S0.\n";
+ }
+
+ mtb = msb + msd;
+ mtx = msq + msd;
+
+ mb = EvtPDL::getMeanMass( parent );
+ mx = mass;
+
+ mup=1.0/(1.0/msq+1.0/msb);
+ mum=1.0/(1.0/msq-1.0/msb);
+ bbx2=0.5*(bb2+bx2);
+ tm=(mb-mx)*(mb-mx);
+ if (t>tm) t = 0.99*tm;
+
+ double kap = 0.7*0.7;
+ f3 = sqrt(mtx/mtb)*pow(sqrt(bx2*bb2)/bbx2,3.0/2.0)*
+ exp(-1.0*((msd*msd*(tm-t)/(4.0*mtb*mtx*kap*bbx2))));
+
+ *fppf = f3*sqrt(3.0/8.0)*(msb/mup)*( ((bb2-bx2)/(bb2+bx2)) +
+ (((msq*msd*bb2)/(3.0*mum*mtx*bbx2))*((7.0*bx2-3.0*bb2)/
+ (4.0*bbx2))) +
+ (((msd*msd*bx2*(tm-t))/(6.0*mtx*mtb*bbx2*kap*bbx2))*
+ (1.0 - ((msq*msd*bb2)/(2.0*mum*mtx*bbx2)))));
+
+ *fpmf = 0.0;
+ return;
+} //get_ff_isgw_21s0
+
+
+void EvtISGWFF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtISGWFF.\n";
+ ::abort();
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtISGWFF.hh
+//
+// Description:Form factor routines specific to EvtISGW
+//
+// Modification history:
+//
+// DJL/RYD September 25, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTISGWFF_HH
+#define EVTISGWFF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+class EvtId;
+
+
+class EvtISGWFF : public EvtSemiLeptonicFF {
+
+ void getscalarff( EvtId parent, EvtId daught,
+ double t, double mass, double *fpf,
+ double *f0f );
+ void getvectorff( EvtId parent, EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+ void gettensorff( EvtId parent, EvtId daught,
+ double t, double mass, double *hf,
+ double *kf, double *bpf, double *bmf );
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+
+ // getscalarff, getvectorff, and gettensorff call the
+ // correct isgw form factor routine which computes
+ // form factors according to the ISGW paper.
+
+
+ void EvtISGW1FF3S1( EvtId parent, EvtId daught,
+ double t, double mass, double *ff, double *gf,
+ double *apf, double *amf);
+ void EvtISGW1FF23S1( EvtId parent, EvtId daught,
+ double t, double mass,double *fpf, double *gpf,
+ double *app, double *apm);
+ void EvtISGW1FF3P1( EvtId parent, EvtId daught,
+ double t, double mass,double *lf, double *qf,
+ double *cpf, double *cmf);
+ void EvtISGW1FF3P0( EvtId parent, EvtId daught,
+ double t, double mass, double *upf, double *umf);
+ void EvtISGW1FF1S0( EvtId parent, EvtId daught,
+ double t, double mass,double *fpf, double *fmf);
+ void EvtISGW1FF21S0( EvtId parent, EvtId daught,
+ double t, double mass, double *fppf, double *fpmf);
+ void EvtISGW1FF3P2( EvtId parent, EvtId daught,
+ double t, double mass, double *h, double *k,
+ double *bp, double *bm);
+ void EvtISGW1FF1P1( EvtId parent, EvtId daught,
+ double t, double mass, double *vf, double *rf,
+ double *spf, double *smf);
+
+};
+
+#endif
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtIntervalDecayAmp.hh,v 1.12 2009/02/15 18:21:51 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+
+// Decay model that uses the "amplitude on an interval"
+// templatization
+
+#ifndef EVT_INTERVAL_DECAY_AMP
+#define EVT_INTERVAL_DECAY_AMP
+
+#define VERBOSE true
+#include <iostream>
+#include <vector>
+#include <string>
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtMacros.hh"
+#include "EvtGenBase/EvtPdf.hh"
+#include "EvtGenBase/EvtAmpFactory.hh"
+#include "EvtGenBase/EvtMultiChannelParser.hh"
+#include "EvtGenBase/EvtAmpPdf.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtCyclic3.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+template <class T>
+class EvtIntervalDecayAmp : public EvtDecayAmp {
+
+public:
+
+ EvtIntervalDecayAmp()
+ : _probMax(0.), _nScan(0), _fact(0)
+ {}
+
+ EvtIntervalDecayAmp(const EvtIntervalDecayAmp<T>& other)
+ : _probMax(other._probMax), _nScan(other._nScan),
+ COPY_PTR(_fact)
+ {}
+
+ virtual ~EvtIntervalDecayAmp()
+ {
+ delete _fact;
+ }
+
+
+ // Initialize model
+
+ virtual void init()
+ {
+ // Collect model parameters and parse them
+
+ vector<std::string> args;
+ int i;
+ for(i=0;i<getNArg();i++) args.push_back(getArgStr(i));
+ EvtMultiChannelParser parser;
+ parser.parse(args);
+
+ // Create factory and interval
+
+ if(VERBOSE) report(INFO,"EvtGen") << "Create factory and interval" << std::endl;
+ _fact = createFactory(parser);
+
+ // Maximum PDF value over the Dalitz plot can be specified, or a scan
+ // can be performed.
+
+ _probMax = parser.pdfMax();
+ _nScan = parser.nScan();
+ if(VERBOSE) report(INFO,"EvtGen") << "Pdf maximum " << _probMax << std::endl;
+ if(VERBOSE) report(INFO,"EvtGen") << "Scan number " << _nScan << std::endl;
+ }
+
+
+ virtual void initProbMax()
+ {
+ if(0 == _nScan) {
+
+ if(_probMax > 0) setProbMax(_probMax);
+ else assert(0);
+ }
+ else {
+
+ double factor = 1.2; // increase maximum probability by 20%
+ EvtAmpPdf<T> pdf(*_fact->getAmp());
+ EvtPdfSum<T>* pc = _fact->getPC();
+ EvtPdfDiv<T> pdfdiv(pdf,*pc);
+ printf("Sampling %d points to find maximum\n",_nScan);
+ EvtPdfMax<T> x = pdfdiv.findMax(*pc,_nScan);
+ _probMax = factor * x.value();
+ printf("Found maximum %f\n",x.value());
+ printf("Increase to %f\n",_probMax);
+ setProbMax(_probMax);
+ }
+ }
+
+ virtual void decay(EvtParticle *p)
+ {
+ // Set things up in most general way
+
+ //static EvtId B0=EvtPDL::getId("B0");
+ //static EvtId B0B=EvtPDL::getId("anti-B0");
+ EvtId B0=EvtPDL::getId("B0");
+ EvtId B0B=EvtPDL::getId("anti-B0");
+ double t;
+ EvtId other_b;
+ EvtComplex ampl(0.,0.);
+
+ // Sample using pole-compensator pdf
+
+ EvtPdfSum<T>* pc = getPC();
+ _x = pc->randomPoint();
+
+ if(_fact->isCPModel()) {
+
+ // Time-dependent Dalitz plot changes
+ // Dec 2005 (ddujmic@slac.stanford.edu)
+
+ EvtComplex A = _fact->getAmp()->evaluate(_x);
+ EvtComplex Abar = _fact->getAmpConj()->evaluate(_x);
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ double dm = _fact->dm();
+ double mixAmpli = _fact->mixAmpli();
+ double mixPhase = _fact->mixPhase();
+ EvtComplex qoverp( cos(mixPhase)*mixAmpli, sin(mixPhase)*mixAmpli);
+ EvtComplex poverq( cos(mixPhase)/mixAmpli, -sin(mixPhase)/mixAmpli);
+
+
+ if (other_b==B0B) ampl = A*cos(dm*t/(2*EvtConst::c)) +
+ EvtComplex(0.,1.)*Abar*sin(dm*t/(2*EvtConst::c))*qoverp;
+ if (other_b==B0) ampl = Abar*cos(dm*t/(2*EvtConst::c)) +
+ EvtComplex(0.,1.)*A*sin(dm*t/(2*EvtConst::c))*poverq;
+
+
+ }
+ else {
+
+ ampl = amplNonCP(_x);
+ }
+
+ // Pole-compensate
+
+ double comp = sqrt(pc->evaluate(_x));
+ assert(comp > 0);
+ vertex(ampl/comp);
+
+ // Now generate random angles, rotate and setup
+ // the daughters
+
+ std::vector<EvtVector4R> v = initDaughters(_x);
+
+ size_t N = p->getNDaug();
+ if(v.size() != N) {
+
+ report(INFO,"EvtGen") << "Number of daughters " << N << std::endl;
+ report(INFO,"EvtGen") << "Momentum vector size " << v.size() << std::endl;
+ assert(0);
+ }
+
+ for(size_t i=0;i<N;i++){
+
+ p->getDaug(i)->init(getDaugs()[i],v[i]);
+ }
+ }
+
+ virtual EvtAmpFactory<T>* createFactory(const EvtMultiChannelParser& parser) = 0;
+ virtual std::vector<EvtVector4R> initDaughters(const T& p) const = 0;
+
+ // provide access to the decay point and to the amplitude of any decay point.
+ // this is used by EvtBtoKD3P:
+ const T & x() const {return _x;}
+ EvtComplex amplNonCP(const T & x) {return _fact->getAmp()->evaluate(x);}
+ EvtPdfSum<T>* getPC() {return _fact->getPC();}
+
+protected:
+ double _probMax; // Maximum probability
+ int _nScan; // Number of points for max prob DP scan
+ T _x; // Decay point
+
+ EvtAmpFactory<T>* _fact; // factory
+};
+
+
+#endif
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgAbsFunction.hh
+//
+// Description:
+// Abstraction of a generic function for use in integration methods elsewhere
+// in this package. (Stolen and modified from the BaBar IntegrationUtils package
+// - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+#include "assert.h"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+EvtItgAbsFunction::EvtItgAbsFunction(double lowerRange, double upperRange):
+ _upperRange(upperRange),
+ _lowerRange(lowerRange){}
+
+EvtItgAbsFunction::~EvtItgAbsFunction( )
+{}
+
+
+double
+EvtItgAbsFunction::value( double x) const{
+ if (x >= _lowerRange && x <= _upperRange) return myFunction(x);
+ report(ERROR,"EvtGen") << "Error in EvtItgAbsFunction::value. Given co-ordinate " << x
+ << " is outside of allowed range [" << _lowerRange << ", "
+ << _upperRange << "]. Returning 0.0" << endl;
+ return 0.0; // Never get here
+}
+
+double
+EvtItgAbsFunction::operator()(double x) const{
+ return myFunction(x);
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgAbsFunction.hh
+//
+// Description:
+// Abstraction of a generic function for use in integration methods elsewhere
+// in this package. (Stolen and modified from the BaBar IntegrationUtils package
+// - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITGABSFUNCTION_HH
+#define EVTITGABSFUNCTION_HH
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+class EvtItgAbsFunction {
+
+public:
+
+ // Constructors
+
+ EvtItgAbsFunction(double lowerRange, double upperRange);
+
+ // Destructor
+ virtual ~EvtItgAbsFunction( );
+
+ virtual double value( double x) const;
+
+ virtual double operator()(double x) const;
+
+ // Selectors (const)
+
+ inline double upperRange() const {return _upperRange;}
+ inline double lowerRange() const {return _lowerRange;}
+ inline void getRange(double &lower,double &upper) const { lower = _lowerRange; upper = _upperRange; }
+ virtual void setCoeff(int, int, double)=0;
+ virtual double getCoeff(int, int)=0;
+
+protected:
+
+ virtual double myFunction(double x) const=0;
+ void setRange(double x1,double x2) { _lowerRange=x1; _upperRange=x2; };
+
+private:
+
+ double _upperRange;
+ double _lowerRange;
+
+ EvtItgAbsFunction( const EvtItgAbsFunction& ); // Copy Constructor
+ EvtItgAbsFunction& operator= ( const EvtItgAbsFunction& ); // Assignment op
+
+};
+
+#endif // EVTITGABSFUNCTION_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgIntegrator.cc
+//
+// Description:
+// Simpson integrator (Stolen and modified from
+// the BaBar IntegrationUtils package - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenModels/EvtItgAbsIntegrator.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+#include <math.h>
+#include <iostream>
+
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+using std::endl;
+
+
+EvtItgAbsIntegrator::EvtItgAbsIntegrator(const EvtItgAbsFunction &theFunction):
+ _myFunction(theFunction)
+{}
+
+EvtItgAbsIntegrator::~EvtItgAbsIntegrator()
+{}
+
+double
+EvtItgAbsIntegrator::normalisation() const {
+ return evaluateIt(_myFunction.lowerRange(), _myFunction.upperRange());
+}
+
+double
+EvtItgAbsIntegrator::evaluate(double lower, double upper) const{
+
+ double newLower(lower), newUpper(upper);
+
+ boundsCheck(newLower, newUpper);
+
+ return evaluateIt(newLower, newUpper);
+}
+
+double
+EvtItgAbsIntegrator::trapezoid(double lower, double higher, int n, double &result) const {
+
+ if (n==1) return 0.5*(higher-lower)*(_myFunction(lower) + _myFunction(higher));
+
+ int it, j;
+
+ for (it=1, j=1;j<n-1;j++) it <<=1;
+
+ double itDouble(it);
+
+ double sum(0.0);
+
+ double deltaX((higher - lower)/itDouble);
+
+ double x(lower + 0.5* deltaX);
+
+ for (j=1;j<=it;j++){
+ sum+=_myFunction(x);
+ x+=deltaX;
+ }
+
+ result = 0.5*(result+(higher - lower)*sum/itDouble);
+
+ return result;
+}
+
+void
+EvtItgAbsIntegrator::boundsCheck(double &lower, double &upper) const{
+
+ if (lower < _myFunction.lowerRange() ) {
+ report(WARNING,"EvtGen") << "Warning in EvtItgAbsIntegrator::evaluate. Lower bound " << lower << " of integral "
+ << " is less than lower bound " << _myFunction.lowerRange()
+ << " of function. No contribution from this range will be counted." << endl;
+ lower = _myFunction.lowerRange();
+ }
+
+ if (upper > _myFunction.upperRange() ) {
+ report(WARNING,"EvtGen") << "Warning in EvtItgAbsIntegrator::evaluate. Upper bound " << upper << " of integral "
+ << " is greater than upper bound " << _myFunction.upperRange()
+ << " of function. No contribution from this range will be counted." << endl;
+ upper = _myFunction.upperRange();
+ }
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgAbsIntegrator.hh
+//
+// Description:
+// Abstraction of a generic integrator (Stolen and modified from
+// the BaBar IntegrationUtils package - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITGABSINTEGRATOR_HH
+#define EVTITGABSINTEGRATOR_HH
+
+
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+
+class EvtItgAbsIntegrator {
+
+public:
+
+ EvtItgAbsIntegrator(const EvtItgAbsFunction &);
+
+ virtual ~EvtItgAbsIntegrator( );
+
+ double evaluate(double lower, double upper) const;
+
+ double normalisation() const;
+
+protected:
+
+ double trapezoid(double lower, double higher, int n,
+ double &result) const;
+
+ virtual double evaluateIt(double lower, double higher) const=0;
+
+ double myFunction(double x) const {return _myFunction(x);}
+
+private:
+
+ const EvtItgAbsFunction &_myFunction;
+
+ void boundsCheck(double &, double &) const;
+
+ // Note: if your class needs a copy constructor or an assignment operator,
+ // make one of the following public and implement it.
+ EvtItgAbsIntegrator();
+ EvtItgAbsIntegrator( const EvtItgAbsIntegrator& ); // Copy Constructor
+ EvtItgAbsIntegrator& operator= ( const EvtItgAbsIntegrator& ); // Assignment op
+
+};
+
+#endif // EVTITGABSINTEGRATOR_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgFourCoeffFcn.cc
+//
+// Description:
+// Class describing a function with four vectors of coefficients.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenModels/EvtItgFourCoeffFcn.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+EvtItgFourCoeffFcn::EvtItgFourCoeffFcn( double (*theFunction)(double, const std::vector<double> &, const std::vector<double> &, const std::vector<double> &, const std::vector<double> &), double lowerRange, double upperRange, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2, const std::vector<double> &coeffs3, const std::vector<double> &coeffs4):
+ EvtItgAbsFunction(lowerRange, upperRange),
+ _myFunction(theFunction),
+ _coeffs1(coeffs1),
+ _coeffs2(coeffs2),
+ _coeffs3(coeffs3),
+ _coeffs4(coeffs4)
+{}
+
+EvtItgFourCoeffFcn::~EvtItgFourCoeffFcn( )
+{}
+
+
+double
+EvtItgFourCoeffFcn::myFunction(double x) const{
+ return _myFunction(x, _coeffs1, _coeffs2, _coeffs3, _coeffs4);
+}
+
+void
+EvtItgFourCoeffFcn::setCoeff(int vect, int which, double value)
+{
+ if (vect == 1) _coeffs1[which] = value;
+ else if (vect == 2) _coeffs2[which] = value;
+ else if (vect == 3) _coeffs3[which] = value;
+ else if (vect == 4) _coeffs4[which] = value;
+}
+
+double
+EvtItgFourCoeffFcn::getCoeff(int vect, int which)
+{
+ if (vect == 1) return _coeffs1[which];
+ else if (vect == 2) return _coeffs2[which];
+ else if (vect == 3) return _coeffs3[which];
+ else if (vect == 4) return _coeffs4[which];
+ else {return 0;}
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgFourCoeffFcn.hh
+//
+// Description:
+// Class describing a function with Four vectors of coefficients.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITFOURCOEFFFCN_HH
+#define EVTITFOURCOEFFFCN_HH
+
+#include <vector>
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+
+class EvtItgFourCoeffFcn: public EvtItgAbsFunction {
+
+public:
+
+ EvtItgFourCoeffFcn( double (*theFunction)(double, const std::vector<double> &, const std::vector<double> &, const std::vector<double> &, const std::vector<double> &),
+ double lowerRange, double upperRange, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2, const std::vector<double> &coeffs3, const std::vector<double> &coeffs4);
+
+ virtual ~EvtItgFourCoeffFcn( );
+
+ virtual void setCoeff(int, int, double);
+ virtual double getCoeff(int, int);
+
+protected:
+
+ virtual double myFunction(double x) const;
+
+private:
+
+ // Data members
+ double (*_myFunction)(double x, const std::vector<double> & coeffs1, const std::vector<double> & coeffs2, const std::vector<double> & coeffs3, const std::vector<double> & coeffs4);
+
+ // Note: if your class needs a copy constructor or an assignment operator,
+ // make one of the following public and implement it.
+ EvtItgFourCoeffFcn( const EvtItgFourCoeffFcn& ); //// Copy Constructor
+ EvtItgFourCoeffFcn& operator= ( const EvtItgFourCoeffFcn& ); // Assignment op
+ std::vector<double> _coeffs1;
+ std::vector<double> _coeffs2;
+ std::vector<double> _coeffs3;
+ std::vector<double> _coeffs4;
+
+};
+
+#endif // EvtITGPTRFUNCTION_HH
--- /dev/null
+//--------------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtItgFunction.cc,v 1.3 2004/12/21 22:16:02 ryd Exp $
+//
+// Description:
+// Class EvtItgFunction
+// Implementation for the EvtItgFunction class. Defines the bounds
+// checked value() function and the non-bounds checked operator()
+//
+// Environment:
+// Software developed for the BaBar Detector at the SLAC B-Factory.
+//
+// Author List:
+// Phil Strother Originator
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 LBNL
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+//-----------------------
+// This Class's Header --
+//-----------------------
+#include "EvtGenModels/EvtItgFunction.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+//----------------
+// Constructors --
+//----------------
+EvtItgFunction::EvtItgFunction( double (*theFunction)(double), double lowerRange, double upperRange):
+ EvtItgAbsFunction(lowerRange, upperRange),
+ _myFunction(theFunction)
+{}
+
+
+//--------------
+// Destructor --
+//--------------
+
+EvtItgFunction::~EvtItgFunction( )
+{}
+
+
+double
+EvtItgFunction::myFunction(double x) const{
+ return _myFunction(x);
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software was developed for the BaBar collaboration. If you
+// use all or part of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 LBNL
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITGFUNCTION_HH
+#define EVTITGFUNCTION_HH
+
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+
+/**
+ * Copyright (C) 1998 LBNL
+ *
+ * Generic function where the pointer to the function is available.
+ *
+ * The function is taken as type pointer to function returning double and
+ * taking a double (the abscissa) and a const RWTValVector<double> reference
+ * (the parameter values of the function) as arguments.
+ *
+ * @see EvtItgFunctionEvtItgFunction
+ *
+ * @version $Id: EvtItgFunction.hh,v 1.1 2002/04/19 20:07:47 lange Exp $
+ *
+ * @author Phil Strother Originator
+ */
+
+class EvtItgFunction: public EvtItgAbsFunction {
+
+public:
+
+ // Constructors
+ EvtItgFunction( double (*theFunction)(double),
+ double lowerRange, double upperRange);
+
+
+ // Destructor
+ virtual ~EvtItgFunction( );
+
+ virtual void setCoeff(int, int, double) {};
+ virtual double getCoeff(int, int) {return 0.0;};
+
+protected:
+
+ // Helper functions
+
+ virtual double myFunction(double x) const;
+
+private:
+
+ // Data members
+ double (*_myFunction)(double x);
+
+ // Note: if your class needs a copy constructor or an assignment operator,
+ // make one of the following public and implement it.
+ EvtItgFunction( const EvtItgFunction& ); // Copy Constructor
+ EvtItgFunction& operator= ( const EvtItgFunction& ); // Assignment op
+};
+
+#endif // EvtITGFUNCTION_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgPtrFunction.hh
+//
+// Description:
+// Class describing a function with one vector of coefficients. (Stolen and
+// modified from the BaBar IntegrationUtils package - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenModels/EvtItgPtrFunction.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+//----------------
+// Constructors --
+//----------------
+EvtItgPtrFunction::EvtItgPtrFunction( double (*theFunction)(double, const std::vector<double> &), double lowerRange, double upperRange, const std::vector<double> &coeffs1):
+ EvtItgAbsFunction(lowerRange, upperRange),
+ _myFunction(theFunction),
+ _coeffs1(coeffs1)
+{}
+
+
+//--------------
+// Destructor --
+//--------------
+
+EvtItgPtrFunction::~EvtItgPtrFunction( )
+{}
+
+
+double
+EvtItgPtrFunction::myFunction(double x) const{
+ return _myFunction(x, _coeffs1);
+}
+
+void
+EvtItgPtrFunction::setCoeff(int vect, int which, double value)
+{
+ if (vect == 1) _coeffs1[which] = value;
+}
+
+double
+EvtItgPtrFunction::getCoeff(int vect, int which)
+{
+ if (vect == 1) return _coeffs1[which];
+ else {return 0;}
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgPtrFunction.hh
+//
+// Description:
+// Class describing a function with one vector of coefficients. (Stolen and
+// modified from the BaBar IntegrationUtils package - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITGPTRFUNCTION_HH
+#define EVTITGPTRFUNCTION_HH
+
+#include <vector>
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+
+class EvtItgPtrFunction: public EvtItgAbsFunction {
+
+public:
+
+ EvtItgPtrFunction( double (*theFunction)(double, const std::vector<double> &),
+ double lowerRange, double upperRange, const std::vector<double> &coeffs1);
+
+ virtual ~EvtItgPtrFunction( );
+
+ virtual void setCoeff(int, int, double);
+ virtual double getCoeff(int, int);
+
+protected:
+
+ virtual double myFunction(double x) const;
+
+private:
+
+ // Data members
+ double (*_myFunction)(double x, const std::vector<double> & coeffs1);
+
+ // Note: if your class needs a copy constructor or an assignment operator,
+ // make one of the following public and implement it.
+ EvtItgPtrFunction( const EvtItgPtrFunction& ); //// Copy Constructor
+ EvtItgPtrFunction& operator= ( const EvtItgPtrFunction& ); // Assignment op
+ std::vector<double> _coeffs1;
+
+};
+
+#endif // EVTITGPTRFUNCTION_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgSimpsonIntegrator.hh
+//
+// Description:
+// Abstraction of a generic function for use in integration methods elsewhere
+// in this package. (Stolen and modified from
+// the BaBar IntegrationUtils package - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenModels/EvtItgSimpsonIntegrator.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+//---------------
+// C++ Headers --
+//---------------
+
+#include <math.h>
+
+//-------------------------------
+// Collaborating Class Headers --
+//-------------------------------
+
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+#include "EvtGenBase/EvtReport.hh"
+using std::endl;
+
+
+EvtItgSimpsonIntegrator::EvtItgSimpsonIntegrator(const EvtItgAbsFunction &theFunction, double precision, int maxLoop):
+ EvtItgAbsIntegrator(theFunction),
+ _precision(precision),
+ _maxLoop(maxLoop)
+{}
+
+
+//--------------
+// Destructor --
+//--------------
+
+EvtItgSimpsonIntegrator::~EvtItgSimpsonIntegrator()
+{}
+
+double
+EvtItgSimpsonIntegrator::evaluateIt(double lower, double higher) const{
+
+ // report(INFO,"EvtGen")<<"in evaluate"<<endl;
+ int j;
+ double result(0.0);
+ double s, st, ost(0.0);
+ for (j=1;j<4;j++) {
+ st = trapezoid(lower, higher, j, result);
+ s = (4.0 * st - ost)/3.0;
+ ost=st;
+ }
+
+ double olds(s);
+ st = trapezoid(lower, higher, j, result);
+ s = (4.0 * st - ost)/3.0;
+
+ if (fabs(s - olds) < _precision*fabs(olds) || (s==0.0 && olds==0.0)) return s;
+
+ ost=st;
+
+ for (j=5;j<_maxLoop;j++){
+
+ st = trapezoid(lower, higher, j, result);
+ s = (4.0 * st - ost)/3.0;
+
+ if (fabs(s - olds) < _precision*fabs(olds) || (s==0.0 && olds==0.0)) return s;
+ olds=s;
+ ost=st;
+ }
+
+ report(ERROR,"EvtGen") << "Severe error in EvtItgSimpsonIntegrator. Failed to converge after loop with 2**"
+ << _maxLoop << " calls to the integrand in." << endl;
+
+ return 0.0;
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgSimpsonIntegrator.hh
+//
+// Description:
+// Simpson integrator (Stolen and modified from
+// the BaBar IntegrationUtils package - author: Phil Strother).
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module adapted for use in
+// EvtGen
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITGSIMPSONINTEGRATOR_HH
+#define EVTITGSIMPSONINTEGRATOR_HH
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+#include "EvtGenModels/EvtItgAbsIntegrator.hh"
+
+class EvtItgSimpsonIntegrator: public EvtItgAbsIntegrator {
+
+public:
+
+ EvtItgSimpsonIntegrator(const EvtItgAbsFunction &, double precision=1.0e-5, int maxLoop=20);
+
+ virtual ~EvtItgSimpsonIntegrator( );
+
+protected:
+
+ virtual double evaluateIt(double , double) const;
+
+private:
+
+ double _precision;
+ double _maxLoop;
+
+ EvtItgSimpsonIntegrator();
+ EvtItgSimpsonIntegrator( const EvtItgSimpsonIntegrator& ); //// Copy Constructor
+ EvtItgSimpsonIntegrator& operator= ( const EvtItgSimpsonIntegrator& ); // Assignment op
+
+};
+
+
+
+#endif // ITGSIMPSONINTEGRATOR_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgThreeCoeffFcn.cc
+//
+// Description:
+// Class describing a function with three vectors of coefficients.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+
+#include "EvtGenModels/EvtItgThreeCoeffFcn.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+EvtItgThreeCoeffFcn::EvtItgThreeCoeffFcn( double (*theFunction)(double, const std::vector<double> &, const std::vector<double> &, const std::vector<double> &), double lowerRange, double upperRange, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2, const std::vector<double> &coeffs3):
+ EvtItgAbsFunction(lowerRange, upperRange),
+ _myFunction(theFunction),
+ _coeffs1(coeffs1),
+ _coeffs2(coeffs2),
+ _coeffs3(coeffs3)
+{}
+
+EvtItgThreeCoeffFcn::~EvtItgThreeCoeffFcn( )
+{}
+
+
+double
+EvtItgThreeCoeffFcn::myFunction(double x) const{
+ return _myFunction(x, _coeffs1, _coeffs2, _coeffs3);
+}
+
+void
+EvtItgThreeCoeffFcn::setCoeff(int vect, int which, double value)
+{
+ if (vect == 1) _coeffs1[which] = value;
+ else if (vect == 2) _coeffs2[which] = value;
+ else if (vect == 3) _coeffs3[which] = value;
+}
+
+double
+EvtItgThreeCoeffFcn::getCoeff(int vect, int which)
+{
+ if (vect == 1) return _coeffs1[which];
+ else if (vect == 2) return _coeffs2[which];
+ else if (vect == 3) return _coeffs3[which];
+ else {return 0;}
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgThreeCoeffFcn.hh
+//
+// Description:
+// Class describing a function with three vectors of coefficients.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITTHREECOEFFFCN_HH
+#define EVTITTHREECOEFFFCN_HH
+
+#include <vector>
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+
+class EvtItgThreeCoeffFcn: public EvtItgAbsFunction {
+
+public:
+
+ EvtItgThreeCoeffFcn( double (*theFunction)(double, const std::vector<double> &, const std::vector<double> &, const std::vector<double> &),
+ double lowerRange, double upperRange, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2, const std::vector<double> &coeffs3);
+
+
+ virtual ~EvtItgThreeCoeffFcn( );
+ virtual void setCoeff(int, int, double);
+ virtual double getCoeff(int, int);
+
+protected:
+
+ virtual double myFunction(double x) const;
+
+private:
+
+ // Data members
+ double (*_myFunction)(double x, const std::vector<double> & coeffs1, const std::vector<double> & coeffs2, const std::vector<double> & coeffs3);
+
+ // Note: if your class needs a copy constructor or an assignment operator,
+ // make one of the following public and implement it.
+ EvtItgThreeCoeffFcn( const EvtItgThreeCoeffFcn& ); //// Copy Constructor
+ EvtItgThreeCoeffFcn& operator= ( const EvtItgThreeCoeffFcn& ); // Assignment op
+ std::vector<double> _coeffs1;
+ std::vector<double> _coeffs2;
+ std::vector<double> _coeffs3;
+
+};
+
+#endif // EvtITGPTRFUNCTION_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgTwoCoeffFcn.cc
+//
+// Description:
+// Class describing a function with two vectors of coefficients.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenModels/EvtItgTwoCoeffFcn.hh"
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+EvtItgTwoCoeffFcn::EvtItgTwoCoeffFcn( double (*theFunction)(double, const std::vector<double> &, const std::vector<double> &), double lowerRange, double upperRange, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2):
+ EvtItgAbsFunction(lowerRange, upperRange),
+ _myFunction(theFunction),
+ _coeffs1(coeffs1),
+ _coeffs2(coeffs2)
+{}
+
+EvtItgTwoCoeffFcn::~EvtItgTwoCoeffFcn( )
+{}
+
+double
+EvtItgTwoCoeffFcn::myFunction(double x) const{
+ return _myFunction(x, _coeffs1, _coeffs2);
+}
+
+void
+EvtItgTwoCoeffFcn::setCoeff(int vect, int which, double value)
+{
+ if (vect == 1) _coeffs1[which] = value;
+ else if (vect == 2) _coeffs2[which] = value;
+}
+
+double
+EvtItgTwoCoeffFcn::getCoeff(int vect, int which)
+{
+ if (vect == 1) return _coeffs1[which];
+ else if (vect == 2) return _coeffs2[which];
+ else {return 0;}
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Module: EvtItgTwoCoeffFcn.hh
+//
+// Description:
+// Class describing a function with two vectors of coefficients.
+//
+// Modification history:
+//
+// Jane Tinslay March 21, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTITTWOCOEFFFCN_HH
+#define EVTITTWOCOEFFFCN_HH
+
+#include <vector>
+
+//-------------
+// C Headers --
+//-------------
+extern "C" {
+}
+
+#include "EvtGenModels/EvtItgAbsFunction.hh"
+
+class EvtItgTwoCoeffFcn: public EvtItgAbsFunction {
+
+public:
+
+ EvtItgTwoCoeffFcn( double (*theFunction)(double, const std::vector<double> &, const std::vector<double> &),
+ double lowerRange, double upperRange, const std::vector<double> &coeffs1, const std::vector<double> &coeffs2);
+
+ virtual ~EvtItgTwoCoeffFcn( );
+
+ virtual void setCoeff(int, int, double);
+ virtual double getCoeff(int, int);
+
+
+protected:
+
+ virtual double myFunction(double x) const;
+
+private:
+
+ // Data members
+ double (*_myFunction)(double x, const std::vector<double> & coeffs1, const std::vector<double> & coeffs2);
+
+ // Note: if your class needs a copy constructor or an assignment operator,
+ // make one of the following public and implement it.
+ EvtItgTwoCoeffFcn( const EvtItgTwoCoeffFcn& ); //// Copy Constructor
+ EvtItgTwoCoeffFcn& operator= ( const EvtItgTwoCoeffFcn& ); // Assignment op
+
+ std::vector<double> _coeffs1;
+ std::vector<double> _coeffs2;
+
+};
+
+#endif // EvtITGTWOCOEFFFUNCTION_HH
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtJetSet.cc
+//
+// Description: Routine to use JetSet for decaying particles.
+//
+// Modification history:
+//
+// RYD July 24, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtStringParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtJetSet.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+#include "EvtGenBase/EvtId.hh"
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <string.h>
+#include <stdlib.h>
+#include <unistd.h>
+#include <stdio.h>
+using std::endl;
+using std::fstream;
+using std::ios;
+using std::ofstream;
+using std::resetiosflags;
+using std::setiosflags;
+using std::setw;
+
+
+int EvtJetSet::njetsetdecays=0;
+ EvtDecayBasePtr* EvtJetSet::jetsetdecays=0;
+int EvtJetSet::ntable=0;
+
+int EvtJetSet::ncommand=0;
+int EvtJetSet::lcommand=0;
+std::string* EvtJetSet::commands=0;
+
+extern "C" {
+ extern void evtjetsetinit_(char* fname, int len);
+}
+
+
+extern "C" {
+ extern void jetset1_(int *,double *,int *,int *,int *,
+ double *,double *,double *,double *);
+}
+
+extern "C" {
+ extern void lugive_(const char *cnfgstr,int length);
+}
+
+extern "C" {
+ extern int lucomp_(int* kf);
+}
+
+
+EvtJetSet::EvtJetSet(){}
+
+EvtJetSet::~EvtJetSet(){
+
+
+ int i;
+
+
+ //the deletion of commands is really uggly!
+
+ if (njetsetdecays==0) {
+ delete [] commands;
+ commands=0;
+ return;
+ }
+
+ for(i=0;i<njetsetdecays;i++){
+ if (jetsetdecays[i]==this){
+ jetsetdecays[i]=jetsetdecays[njetsetdecays-1];
+ njetsetdecays--;
+ if (njetsetdecays==0) {
+ delete [] commands;
+ commands=0;
+ }
+ return;
+ }
+ }
+
+ report(ERROR,"EvtGen") << "Error in destroying JetSet model!"<<endl;
+
+}
+
+
+std::string EvtJetSet::getName(){
+
+ return "JETSET";
+
+}
+
+EvtDecayBase* EvtJetSet::clone(){
+
+ return new EvtJetSet;
+
+}
+
+
+void EvtJetSet::initProbMax(){
+
+ noProbMax();
+
+}
+
+
+void EvtJetSet::init(){
+
+ checkNArg(1);
+
+
+ if (getParentId().isAlias()){
+
+ report(ERROR,"EvtGen") << "EvtJetSet finds that you are decaying the"<<endl
+ << " aliased particle "
+ << EvtPDL::name(getParentId()).c_str()
+ << " with the JetSet model"<<endl
+ << " this does not work, please modify decay table."
+ << endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+ store(this);
+
+}
+
+
+std::string EvtJetSet::commandName(){
+
+ return std::string("JetSetPar");
+
+}
+
+
+void EvtJetSet::command(std::string cmd){
+
+ if (ncommand==lcommand){
+
+ lcommand=10+2*lcommand;
+
+ std::string* newcommands=new std::string[lcommand];
+
+ int i;
+
+ for(i=0;i<ncommand;i++){
+ newcommands[i]=commands[i];
+ }
+
+ delete [] commands;
+
+ commands=newcommands;
+
+ }
+
+ commands[ncommand]=cmd;
+
+ ncommand++;
+
+}
+
+
+
+void EvtJetSet::decay( EvtParticle *p){
+
+
+ //added by Lange Jan4,2000
+ static EvtId STRNG=EvtPDL::getId("string");
+
+ int istdheppar=EvtPDL::getStdHep(p->getId());
+
+ if (lucomp_(&istdheppar)==0){
+ report(ERROR,"EvtGen") << "Jetset can not decay:"
+ <<EvtPDL::name(p->getId()).c_str()<<endl;
+ return;
+ }
+
+ double mp=p->mass();
+
+ EvtVector4R p4[20];
+
+ int i,more;
+ int ip=EvtPDL::getStdHep(p->getId());
+ int ndaugjs;
+ int kf[100];
+ EvtId evtnumstable[100],evtnumparton[100];
+ int stableindex[100],partonindex[100];
+ int numstable;
+ int numparton;
+ int km[100];
+ EvtId type[MAX_DAUG];
+
+ jetSetInit();
+
+ double px[100],py[100],pz[100],e[100];
+
+ if ( p->getNDaug() != 0 ) { p->deleteDaughters(true);}
+
+ int count=0;
+
+ do{
+ //report(INFO,"EvtGen") << "calling jetset " << ip<< " " << mp <<endl;
+ jetset1_(&ip,&mp,&ndaugjs,kf,km,px,py,pz,e);
+
+
+ numstable=0;
+ numparton=0;
+ //report(INFO,"EvtGen") << "found some daughters " << ndaugjs << endl;
+ for(i=0;i<ndaugjs;i++){
+
+ if (EvtPDL::evtIdFromStdHep(kf[i])==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") << "JetSet returned particle:"<<kf[i]<<endl;
+ report(ERROR,"EvtGen") << "This can not be translated to evt number"<<endl;
+ report(ERROR,"EvtGen") << "and the decay will be rejected!"<<endl;
+ report(ERROR,"EvtGen") << "The decay was of particle:"<<ip<<endl;
+
+ }
+
+ //sort out the partons
+ if (abs(kf[i])<=6||kf[i]==21){
+ partonindex[numparton]=i;
+ evtnumparton[numparton]=EvtPDL::evtIdFromStdHep(kf[i]);
+ numparton++;
+ }
+ else{
+ stableindex[numstable]=i;
+ evtnumstable[numstable]=EvtPDL::evtIdFromStdHep(kf[i]);
+ numstable++;
+ }
+
+
+ // have to protect against negative mass^2 for massless particles
+ // i.e. neutrinos and photons.
+ // this is uggly but I need to fix it right now....
+
+ if (px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i]>=e[i]*e[i]){
+
+ e[i]=sqrt(px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i])+0.0000000000001;
+
+ }
+
+ p4[i].set(e[i],px[i],py[i],pz[i]);
+
+
+ }
+
+ int channel=EvtDecayTable::inChannelList(p->getId(),numstable,evtnumstable);
+
+
+ more=(channel!=-1);
+
+
+
+
+ count++;
+
+ }while( more && (count<10000) );
+
+ if (count>9999) {
+ report(INFO,"EvtGen") << "Too many loops in EvtJetSet!!!"<<endl;
+ report(INFO,"EvtGen") << "Parent:"<<EvtPDL::name(getParentId()).c_str()<<endl;
+ for(i=0;i<numstable;i++){
+ report(INFO,"EvtGen") << "Daug("<<i<<")"<<EvtPDL::name(evtnumstable[i]).c_str()<<endl;
+ }
+
+ }
+
+
+
+ if (numparton==0){
+
+ p->makeDaughters(numstable,evtnumstable);
+ int ndaugFound=0;
+ for(i=0;i<numstable;i++){
+ p->getDaug(i)->init(evtnumstable[i],p4[stableindex[i]]);
+ ndaugFound++;
+ }
+ if ( ndaugFound == 0 ) {
+ report(ERROR,"EvtGen") << "Jetset has failed to do a decay ";
+ report(ERROR,"EvtGen") << EvtPDL::name(p->getId()).c_str() << " " << p->mass()<<endl;
+ assert(0);
+ }
+
+ fixPolarizations(p);
+
+ return ;
+
+ }
+ else{
+
+ //have partons in JETSET
+
+ EvtVector4R p4string(0.0,0.0,0.0,0.0);
+
+ for(i=0;i<numparton;i++){
+ p4string+=p4[partonindex[i]];
+ }
+
+ int nprimary=1;
+ type[0]=STRNG;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]==0){
+ type[nprimary++]=evtnumstable[i];
+ }
+ }
+
+ p->makeDaughters(nprimary,type);
+
+ p->getDaug(0)->init(STRNG,p4string);
+
+ EvtVector4R p4partons[10];
+
+ for(i=0;i<numparton;i++){
+ p4partons[i]=p4[partonindex[i]];
+ }
+
+ ((EvtStringParticle*)p->getDaug(0))->initPartons(numparton,p4partons,evtnumparton);
+
+
+
+ nprimary=1;
+
+ for(i=0;i<numstable;i++){
+
+ if (km[stableindex[i]]==0){
+ p->getDaug(nprimary++)->init(evtnumstable[i],p4[stableindex[i]]);
+ }
+ }
+
+
+ int nsecond=0;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]!=0){
+ type[nsecond++]=evtnumstable[i];
+ }
+ }
+
+
+ p->getDaug(0)->makeDaughters(nsecond,type);
+
+ EvtVector4R p4stringboost(p4string.get(0),-p4string.get(1),
+ -p4string.get(2),-p4string.get(3));
+
+ nsecond=0;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]!=0){
+ p4[stableindex[i]]=boostTo(p4[stableindex[i]],p4stringboost);
+ p->getDaug(0)->getDaug(nsecond)->init(evtnumstable[i],p4[stableindex[i]]);
+ p->getDaug(0)->getDaug(nsecond)->setDiagonalSpinDensity();
+ p->getDaug(0)->getDaug(nsecond)->decay();
+ nsecond++;
+ }
+ }
+
+ if ( nsecond == 0 ) {
+ report(ERROR,"EvtGen") << "Jetset has failed to do a decay ";
+ report(ERROR,"EvtGen") << EvtPDL::name(p->getId()).c_str() << " " << p->mass() <<endl;
+ assert(0);
+ }
+
+ fixPolarizations(p);
+
+ return ;
+
+ }
+
+}
+
+void EvtJetSet::fixPolarizations(EvtParticle *p){
+
+ //special case for now to handle the J/psi polarization
+
+ int ndaug=p->getNDaug();
+
+ int i;
+
+ static EvtId Jpsi=EvtPDL::getId("J/psi");
+
+ for(i=0;i<ndaug;i++){
+ if(p->getDaug(i)->getId()==Jpsi){
+
+ EvtSpinDensity rho;
+
+ rho.setDim(3);
+ rho.set(0,0,0.5);
+ rho.set(0,1,0.0);
+ rho.set(0,2,0.0);
+
+ rho.set(1,0,0.0);
+ rho.set(1,1,1.0);
+ rho.set(1,2,0.0);
+
+ rho.set(2,0,0.0);
+ rho.set(2,1,0.0);
+ rho.set(2,2,0.5);
+
+ EvtVector4R p4Psi=p->getDaug(i)->getP4();
+
+ double alpha=atan2(p4Psi.get(2),p4Psi.get(1));
+ double beta=acos(p4Psi.get(3)/p4Psi.d3mag());
+
+
+ p->getDaug(i)->setSpinDensityForwardHelicityBasis(rho,alpha,beta,0.0);
+ setDaughterSpinDensity(i);
+
+ }
+ }
+
+}
+
+void EvtJetSet::store(EvtDecayBase* jsdecay){
+
+ if (njetsetdecays==ntable){
+
+ EvtDecayBasePtr* newjetsetdecays=new EvtDecayBasePtr[2*ntable+10];
+ int i;
+ for(i=0;i<ntable;i++){
+ newjetsetdecays[i]=jetsetdecays[i];
+ }
+ ntable=2*ntable+10;
+ delete [] jetsetdecays;
+ jetsetdecays=newjetsetdecays;
+ }
+
+ jetsetdecays[njetsetdecays++]=jsdecay;
+
+
+
+}
+
+
+void EvtJetSet::WriteJetSetEntryHeader(ofstream &outdec, int lundkc,
+ EvtId evtnum,std::string name,
+ int chg, int cchg, int spin2,double mass,
+ double width, double maxwidth,double ctau,
+ int stable,double rawbrfrsum){
+
+
+ char sname[100];
+
+ int namelength=8;
+
+ int i,j;
+ int temp;
+ temp = spin2;
+
+ if (ctau>1000000.0) ctau=0.0;
+
+ strcpy(sname,name.c_str());
+
+ i=0;
+
+ while (sname[i]!=0){
+ i++;
+ }
+
+ // strip up to two + or -
+
+ if(evtnum.getId()>=0) {
+ if (sname[i-1]=='+'||sname[i-1]=='-'){
+ sname[i-1]=0;
+ i--;
+ }
+ if (sname[i-1]=='+'||sname[i-1]=='-'){
+ sname[i-1]=0;
+ i--;
+ }
+ // strip 0 except for _0 and chi...0
+ if (sname[i-1]=='0' && sname[i-2]!='_' && !(sname[0]=='c' && sname[1]=='h')){
+ sname[i-1]=0;
+ i--;
+ }
+ }
+
+ if (i>namelength) {
+ for(j=1;j<namelength;j++){
+ sname[j]=sname[j+i-namelength];
+ }
+ sname[namelength]=0;
+ }
+
+ cchg=0;
+
+ if(evtnum.getId()>=0) {
+ if (abs(EvtPDL::getStdHep(evtnum))==21) cchg=2;
+ if (abs(EvtPDL::getStdHep(evtnum))==90) cchg=-1;
+ if ((abs(EvtPDL::getStdHep(evtnum))<=8)&&
+ (abs(EvtPDL::getStdHep(evtnum))!=0)) cchg=1;
+
+ }
+
+ outdec << setw(5) << lundkc << " ";
+ outdec.width(namelength);
+ outdec << setiosflags(ios::left) << sname << resetiosflags(ios::left);
+ outdec << setw(3) << chg;
+ outdec << setw(3) << cchg;
+ outdec.width(3);
+ if (evtnum.getId()>=0) {
+ if (EvtPDL::chargeConj(evtnum)==evtnum) {
+ outdec << 0;
+ }
+ else{
+ outdec << 1;
+ }
+ }
+ else{
+ outdec << 0;
+ }
+ outdec.setf(ios::fixed);
+ outdec.precision(5);
+ outdec << setw(12) << mass;
+ outdec << setw(12) << width;
+ outdec.width(12);
+ if (fabs(width)<0.0000000001) {
+ outdec << 0.0 ;
+ }
+ else{
+ outdec << maxwidth;
+ }
+ outdec << setw(14) << ctau;
+ outdec.width(3);
+ if (evtnum.getId()>=0) {
+ if (ctau>1.0 || rawbrfrsum<0.000001) {
+ stable=0;
+ }
+ }
+ outdec << stable;
+ outdec << endl;
+ outdec.width(0);
+
+}
+
+void EvtJetSet::WriteJetSetParticle(ofstream &outdec,EvtId ipar,
+ EvtId iparname,int &first){
+
+ int ijetset;
+
+ double br_sum=0.0;
+
+ for(ijetset=0;ijetset<njetsetdecays;ijetset++){
+
+ if (jetsetdecays[ijetset]->getParentId()==ipar){
+ br_sum+=jetsetdecays[ijetset]->getBranchingFraction();
+ }
+ if (jetsetdecays[ijetset]->getParentId()!=
+ EvtPDL::chargeConj(jetsetdecays[ijetset]->getParentId())&&
+ EvtPDL::chargeConj(jetsetdecays[ijetset]->getParentId())==ipar){
+ br_sum+=jetsetdecays[ijetset]->getBranchingFraction();
+ }
+
+
+ }
+
+ double br_sum_true=br_sum;
+
+ if (br_sum<0.000001) br_sum=1.0;
+
+ for(ijetset=0;ijetset<njetsetdecays;ijetset++){
+ if (jetsetdecays[ijetset]->getParentId()==ipar){
+
+ double br=jetsetdecays[ijetset]->getBranchingFraction();
+
+ int i,daugs[5];
+ EvtId cdaugs[5];
+
+ for(i=0;i<5;i++){
+
+ if(i<jetsetdecays[ijetset]->getNDaug()){
+ daugs[i]=EvtPDL::getStdHep(
+ jetsetdecays[ijetset]->getDaugs()[i]);
+ cdaugs[i]=EvtPDL::chargeConj(jetsetdecays[ijetset]->getDaugs()[i]);
+ }
+ else{
+ daugs[i]=0;
+ }
+ }
+
+ int channel;
+
+ channel=EvtDecayTable::findChannel(EvtPDL::chargeConj(ipar),
+ jetsetdecays[ijetset]->getModelName(),
+ jetsetdecays[ijetset]->getNDaug(),
+ cdaugs,
+ jetsetdecays[ijetset]->getNArg(),
+ jetsetdecays[ijetset]->getArgsStr());
+
+ if (jetsetdecays[ijetset]->getModelName()=="JETSET"){
+
+ if (first) {
+ first=0;
+ WriteJetSetEntryHeader(outdec,
+ EvtPDL::getLundKC(iparname),
+ iparname,
+ EvtPDL::name(iparname),
+ EvtPDL::chg3(iparname),
+ 0,0,EvtPDL::getMeanMass(ipar),
+ EvtPDL::getWidth(ipar),
+ EvtPDL::getMeanMass(ipar)-EvtPDL::getMinMass(ipar),
+ EvtPDL::getctau(ipar),1,br_sum_true);
+ }
+
+ int dflag=2;
+
+ if (EvtPDL::getStdHep(ipar)<0) {
+ dflag=3;
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ daugs[i]=EvtPDL::getStdHep(cdaugs[i]);
+ }
+
+ }
+
+ //now lets check to make sure that jetset, lucomp, knows
+ //about all particles!
+ int unknown=0;
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ if (lucomp_(&daugs[i])==0) {
+ unknown=1;
+ report(ERROR,"EvtGen") << "JetSet (lucomp) does not "
+ << "know the particle:"<<
+ EvtPDL::name(jetsetdecays[ijetset]->getDaugs()[i]).c_str()<<endl;
+ }
+ }
+
+ int istdheppar=EvtPDL::getStdHep(ipar);
+
+ if (lucomp_(&istdheppar)==0){
+ unknown=1;
+ report(ERROR,"EvtGen") << "JetSet (lucomp) does not "
+ << "know the particle:"<<
+ EvtPDL::name(ipar).c_str()<<endl;
+ }
+
+
+
+ if (unknown){
+ report(ERROR,"EvtGen") << "Therfore the decay:"<<endl;
+ report(ERROR,"EvtGen") << EvtPDL::name(jetsetdecays[ijetset]->getParentId()).c_str()<<" -> ";
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ report(ERROR,"") << EvtPDL::name(jetsetdecays[ijetset]->getDaugs()[i]).c_str()<<" ";
+ }
+ report(ERROR,"")<<endl;
+ report(ERROR,"EvtGen")<<"Will not be generated."<<endl;
+ return;
+ }
+
+
+ if (EvtPDL::chargeConj(ipar)==ipar) {
+ dflag=1;
+ //report(INFO,"EvtGen") << EvtPDL::name(iparname) << " dflag=1 because C(ipar)=ipar!"<<endl;
+ }
+
+
+ //if (channel>=0) {
+ // dflag=1;
+ //report(INFO,"EvtGen") << EvtPDL::name(iparname) << " dflag=1 because channel>=0"<<endl;
+ //}
+
+ // if (!(EvtPDL::getStdHep(ipar)<0&&channel>=0)){
+ if (1){
+
+ outdec.width(10);
+ outdec <<dflag;
+ outdec.width(5);
+ outdec <<(int)jetsetdecays[ijetset]->getArgs()[0];
+ outdec.width(12);
+ if (fabs(br)<0.000000001) {
+ outdec <<"0.00000";
+ }
+ else{
+ outdec <<br/br_sum;
+ }
+ outdec.width(8);
+ outdec <<daugs[0];
+ outdec.width(8);
+ outdec <<daugs[1];
+ outdec.width(8);
+ outdec <<daugs[2];
+ outdec.width(8);
+ outdec <<daugs[3];
+ outdec.width(8);
+ outdec <<daugs[4];
+ outdec<<endl;
+ outdec.width(0);
+ }
+ }
+ }
+ }
+}
+
+
+void EvtJetSet::MakeJetSetFile(char* fname){
+
+ EvtId ipar;
+ int lundkc;
+
+ //int part_list[MAX_PART];
+
+ ofstream outdec;
+
+ outdec.open(fname);
+
+ //outdec << ";"<<endl;
+ //outdec << ";This decayfile has been automatically created by"<<endl;
+ //outdec << ";EvtGen from the DECAY.DEC file"<<endl;
+ //outdec << ";"<<endl;
+
+ int nokcentry;
+
+ for(lundkc=1;lundkc<=500;lundkc++){
+
+ nokcentry=1;
+
+ int iipar;
+
+ for(iipar=0;iipar< static_cast<int>( EvtPDL::entries()) ;iipar++){
+
+ ipar=EvtId(iipar,iipar);
+ //no aliased particles!
+ std::string tempStr = EvtPDL::name(ipar);
+ EvtId realId = EvtPDL::getId(tempStr);
+ if ( realId.isAlias() != 0 ) continue;
+ if (lundkc==EvtPDL::getLundKC(ipar)){
+
+ nokcentry=0;
+
+ int first=1;
+
+ WriteJetSetParticle(outdec,ipar,ipar,first);
+
+
+ EvtId ipar2=EvtPDL::chargeConj(ipar);
+
+
+ if (ipar2!=ipar){
+ WriteJetSetParticle(outdec,ipar2,ipar,first);
+ }
+
+ if (first){
+ WriteJetSetEntryHeader(outdec,
+ EvtPDL::getLundKC(ipar),
+ ipar,
+ EvtPDL::name(ipar),
+ EvtPDL::chg3(ipar),
+ 0,0,EvtPDL::getMeanMass(ipar),
+ EvtPDL::getWidth(ipar),
+ EvtPDL::getMeanMass(ipar)-EvtPDL::getMinMass(ipar),
+ EvtPDL::getctau(ipar),0,0.0);
+
+ }
+ }
+ }
+ if (nokcentry){
+
+ WriteJetSetEntryHeader(outdec,
+ lundkc,EvtId(-1,-1)," ",
+ 0,0,0,EvtPDL::getMeanMass(ipar),0.0,0.0,
+ EvtPDL::getctau(ipar),0,0.0);
+
+ }
+ }
+ outdec.close();
+}
+
+void EvtJetSet::jetSetInit(){
+
+ static int first=1;
+
+ if (first){
+
+ first=0;
+
+ report(INFO,"EvtGen") << "Will initialize JetSet."<<endl;
+
+ char fname[200];
+
+ char hostBuffer[100];
+
+ if ( gethostname( hostBuffer, 100 ) != 0 ){
+ report(ERROR,"EvtGen") << " couldn't get hostname." << endl;
+ strncpy( hostBuffer, "hostnameNotFound", 100 );
+ }
+
+ char pid[100];
+
+ int thePid=getpid();
+
+ if ( sprintf( pid, "%d", thePid ) == 0 ){
+ report(ERROR,"EvtGen") << " couldn't get process ID." << endl;
+ strncpy( pid, "666", 100 );
+ }
+
+ strcpy(fname,"jet.d-");
+ strcat(fname,hostBuffer);
+ strcat(fname,"-");
+ strcat(fname,pid);
+
+ MakeJetSetFile(fname);
+ evtjetsetinit_(fname,strlen(fname));
+
+ if (0==getenv("EVTSAVEJETD")){
+ char delcmd[300];
+ strcpy(delcmd,"rm -f ");
+ strcat(delcmd,fname);
+ system(delcmd);
+ }
+
+ int i;
+
+ for(i=0;i<ncommand;i++){
+ lugive_(commands[i].c_str(),strlen(commands[i].c_str()));
+
+ }
+
+ report(INFO,"EvtGen") << "Done initializing JetSet."<<endl;
+
+
+ }
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtJetSet.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTJETSET_HH
+#define EVTJETSET_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+typedef EvtDecayBase* EvtDecayBasePtr;
+
+#include <iosfwd>
+
+class EvtJetSet:public EvtDecayIncoherent {
+
+public:
+
+ EvtJetSet();
+ virtual ~EvtJetSet();
+
+ std::string getName();
+ EvtDecayBase* clone();
+ void decay(EvtParticle *p);
+
+ std::string commandName();
+ void command(std::string cmd);
+
+ void init();
+
+ void initProbMax();
+
+ //initialize jetset; sets up decay table and
+ //paramters. Static so it can be invoked from
+ //from EvtJscont.
+ static void jetSetInit();
+
+private:
+
+ void store(EvtDecayBase* jsdecay);
+ void fixPolarizations(EvtParticle* p);
+ static void MakeJetSetFile(char* fname);
+ static void WriteJetSetParticle(std::ofstream &outdec,EvtId ipar,EvtId iparname,int &first);
+ static void WriteJetSetEntryHeader(std::ofstream &outdec, int lundkc,
+ EvtId evtnum,std::string name,
+ int chg, int cchg, int spin2,double mass,
+ double width, double maxwidth,double ctau,
+ int stable,double rawbrfrsum);
+
+ static int njetsetdecays;
+ static EvtDecayBasePtr* jetsetdecays;
+ static int ntable;
+
+ static int ncommand;
+ static int lcommand;
+ static std::string* commands;
+
+};
+
+#endif
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtJetSet.cc
+//
+// Description: Routine to use JetSet for decaying particles.
+//
+// Modification history:
+//
+// RYD July 24, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtStringParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtJetSetCDF.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+#include "EvtGenBase/EvtId.hh"
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <string.h>
+#include <stdlib.h>
+#include <unistd.h>
+#include <stdio.h>
+using std::endl;
+using std::fstream;
+using std::ios;
+using std::ofstream;
+using std::resetiosflags;
+using std::setiosflags;
+using std::setw;
+
+
+int EvtJetSetCDF::njetsetdecays=0;
+ EvtDecayBasePtr* EvtJetSetCDF::jetsetdecays=0;
+int EvtJetSetCDF::ntable=0;
+
+int EvtJetSetCDF::ncommand=0;
+int EvtJetSetCDF::lcommand=0;
+std::string* EvtJetSetCDF::commands=0;
+
+extern "C" {
+ extern void evtjetsetcdfinit_(char* fname, int len);
+}
+
+
+extern "C" {
+ extern void jetsetcdf_(int *,double *,int *,int *,int *,
+ double *,double *,double *,double *);
+}
+
+extern "C" {
+ extern void lygive_(const char *cnfgstr,int length);
+}
+
+extern "C" {
+ extern int lycomp_(int* kf);
+}
+
+
+EvtJetSetCDF::EvtJetSetCDF(){}
+
+EvtJetSetCDF::~EvtJetSetCDF(){
+
+
+ int i;
+
+
+ //the deletion of commands is really uggly!
+
+ if (njetsetdecays==0) {
+ delete [] commands;
+ commands=0;
+ return;
+ }
+
+ for(i=0;i<njetsetdecays;i++){
+ if (jetsetdecays[i]==this){
+ jetsetdecays[i]=jetsetdecays[njetsetdecays-1];
+ njetsetdecays--;
+ if (njetsetdecays==0) {
+ delete [] commands;
+ commands=0;
+ }
+ return;
+ }
+ }
+
+ report(ERROR,"EvtGen") << "Error in destroying JetSet model!"<<endl;
+
+}
+
+
+std::string EvtJetSetCDF::getName(){
+
+ return "JETSETCDF";
+
+}
+
+EvtDecayBase* EvtJetSetCDF::clone(){
+
+ return new EvtJetSetCDF;
+
+}
+
+
+void EvtJetSetCDF::initProbMax(){
+
+ noProbMax();
+
+}
+
+
+void EvtJetSetCDF::init(){
+
+ checkNArg(1);
+
+
+ if (getParentId().isAlias()){
+
+ report(ERROR,"EvtGen") << "EvtJetSetCDF finds that you are decaying the"<<endl
+ << " aliased particle "
+ << EvtPDL::name(getParentId()).c_str()
+ << " with the JetSet model"<<endl
+ << " this does not work, please modify decay table."
+ << endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+ store(this);
+
+}
+
+
+std::string EvtJetSetCDF::commandName(){
+
+ return std::string("JetSetCDFPar");
+
+}
+
+
+void EvtJetSetCDF::command(std::string cmd){
+
+ if (ncommand==lcommand){
+
+ lcommand=10+2*lcommand;
+
+ std::string* newcommands=new std::string[lcommand];
+
+ int i;
+
+ for(i=0;i<ncommand;i++){
+ newcommands[i]=commands[i];
+ }
+
+ delete [] commands;
+
+ commands=newcommands;
+
+ }
+
+ commands[ncommand]=cmd;
+
+ ncommand++;
+
+}
+
+
+
+void EvtJetSetCDF::decay( EvtParticle *p){
+
+
+ //added by Lange Jan4,2000
+ static EvtId STRNG=EvtPDL::getId("string");
+
+ int istdheppar=EvtPDL::getStdHep(p->getId());
+
+ if (lycomp_(&istdheppar)==0){
+ report(ERROR,"EvtGen") << "Jetset can not decay:"
+ <<EvtPDL::name(p->getId()).c_str()<<endl;
+ return;
+ }
+
+ double mp=p->mass();
+
+ EvtVector4R p4[20];
+
+ int i,more;
+ int ip=EvtPDL::getStdHep(p->getId());
+ int ndaugjs;
+ int kf[100];
+ EvtId evtnumstable[100],evtnumparton[100];
+ int stableindex[100],partonindex[100];
+ int numstable;
+ int numparton;
+ int km[100];
+ EvtId type[MAX_DAUG];
+
+ jetSetInit();
+
+ double px[100],py[100],pz[100],e[100];
+
+ if ( p->getNDaug() != 0 ) { p->deleteDaughters(true);}
+
+ int count=0;
+
+ do{
+ //report(INFO,"EvtGen") << "calling jetset " << ip<< " " << mp <<endl;
+ jetsetcdf_(&ip,&mp,&ndaugjs,kf,km,px,py,pz,e);
+
+
+ numstable=0;
+ numparton=0;
+ //report(INFO,"EvtGen") << "found some daughters " << ndaugjs << endl;
+ for(i=0;i<ndaugjs;i++){
+
+ if (EvtPDL::evtIdFromStdHep(kf[i])==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") << "JetSet returned particle:"<<kf[i]<<endl;
+ report(ERROR,"EvtGen") << "This can not be translated to evt number"<<endl;
+ report(ERROR,"EvtGen") << "and the decay will be rejected!"<<endl;
+ report(ERROR,"EvtGen") << "The decay was of particle:"<<ip<<endl;
+
+ }
+
+ //sort out the partons
+ if (abs(kf[i])<=6||kf[i]==21){
+ partonindex[numparton]=i;
+ evtnumparton[numparton]=EvtPDL::evtIdFromStdHep(kf[i]);
+ numparton++;
+ }
+ else{
+ stableindex[numstable]=i;
+ evtnumstable[numstable]=EvtPDL::evtIdFromStdHep(kf[i]);
+ numstable++;
+ }
+
+
+ // have to protect against negative mass^2 for massless particles
+ // i.e. neutrinos and photons.
+ // this is uggly but I need to fix it right now....
+
+ if (px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i]>=e[i]*e[i]){
+
+ e[i]=sqrt(px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i])+0.0000000000001;
+
+ }
+
+ p4[i].set(e[i],px[i],py[i],pz[i]);
+
+
+ }
+
+ int channel=EvtDecayTable::inChannelList(p->getId(),numstable,evtnumstable);
+
+
+ more=(channel!=-1);
+
+
+
+
+ count++;
+
+ }while( more && (count<10000) );
+
+ if (count>9999) {
+ report(INFO,"EvtGen") << "Too many loops in EvtJetSetCDF!!!"<<endl;
+ report(INFO,"EvtGen") << "Parent:"<<EvtPDL::name(getParentId()).c_str()<<endl;
+ for(i=0;i<numstable;i++){
+ report(INFO,"EvtGen") << "Daug("<<i<<")"<<EvtPDL::name(evtnumstable[i]).c_str()<<endl;
+ }
+
+ }
+
+
+
+ if (numparton==0){
+
+ p->makeDaughters(numstable,evtnumstable);
+ int ndaugFound=0;
+ for(i=0;i<numstable;i++){
+ p->getDaug(i)->init(evtnumstable[i],p4[stableindex[i]]);
+ ndaugFound++;
+ }
+ if ( ndaugFound == 0 ) {
+ report(ERROR,"EvtGen") << "Jetset has failed to do a decay ";
+ report(ERROR,"EvtGen") << EvtPDL::name(p->getId()).c_str() << " " << p->mass()<<endl;
+ assert(0);
+ }
+
+ fixPolarizations(p);
+
+ return ;
+
+ }
+ else{
+
+ //have partons in JETSET
+
+ EvtVector4R p4string(0.0,0.0,0.0,0.0);
+
+ for(i=0;i<numparton;i++){
+ p4string+=p4[partonindex[i]];
+ }
+
+ int nprimary=1;
+ type[0]=STRNG;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]==0){
+ type[nprimary++]=evtnumstable[i];
+ }
+ }
+
+ p->makeDaughters(nprimary,type);
+
+ p->getDaug(0)->init(STRNG,p4string);
+
+ EvtVector4R p4partons[10];
+
+ for(i=0;i<numparton;i++){
+ p4partons[i]=p4[partonindex[i]];
+ }
+
+ ((EvtStringParticle*)p->getDaug(0))->initPartons(numparton,p4partons,evtnumparton);
+
+
+
+ nprimary=1;
+
+ for(i=0;i<numstable;i++){
+
+ if (km[stableindex[i]]==0){
+ p->getDaug(nprimary++)->init(evtnumstable[i],p4[stableindex[i]]);
+ }
+ }
+
+
+ int nsecond=0;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]!=0){
+ type[nsecond++]=evtnumstable[i];
+ }
+ }
+
+
+ p->getDaug(0)->makeDaughters(nsecond,type);
+
+ EvtVector4R p4stringboost(p4string.get(0),-p4string.get(1),
+ -p4string.get(2),-p4string.get(3));
+
+ nsecond=0;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]!=0){
+ p4[stableindex[i]]=boostTo(p4[stableindex[i]],p4stringboost);
+ p->getDaug(0)->getDaug(nsecond)->init(evtnumstable[i],p4[stableindex[i]]);
+ p->getDaug(0)->getDaug(nsecond)->setDiagonalSpinDensity();
+ p->getDaug(0)->getDaug(nsecond)->decay();
+ nsecond++;
+ }
+ }
+
+ if ( nsecond == 0 ) {
+ report(ERROR,"EvtGen") << "Jetset has failed to do a decay ";
+ report(ERROR,"EvtGen") << EvtPDL::name(p->getId()).c_str() << " " << p->mass() <<endl;
+ assert(0);
+ }
+
+ fixPolarizations(p);
+
+ return ;
+
+ }
+
+}
+
+void EvtJetSetCDF::fixPolarizations(EvtParticle *p){
+
+ //special case for now to handle the J/psi polarization
+
+ int ndaug=p->getNDaug();
+
+ int i;
+
+ static EvtId Jpsi=EvtPDL::getId("J/psi");
+
+ for(i=0;i<ndaug;i++){
+ if(p->getDaug(i)->getId()==Jpsi){
+
+ EvtSpinDensity rho;
+
+ rho.setDim(3);
+ rho.set(0,0,0.5);
+ rho.set(0,1,0.0);
+ rho.set(0,2,0.0);
+
+ rho.set(1,0,0.0);
+ rho.set(1,1,1.0);
+ rho.set(1,2,0.0);
+
+ rho.set(2,0,0.0);
+ rho.set(2,1,0.0);
+ rho.set(2,2,0.5);
+
+ EvtVector4R p4Psi=p->getDaug(i)->getP4();
+
+ double alpha=atan2(p4Psi.get(2),p4Psi.get(1));
+ double beta=acos(p4Psi.get(3)/p4Psi.d3mag());
+
+
+ p->getDaug(i)->setSpinDensityForwardHelicityBasis(rho,alpha,beta,0.0);
+ setDaughterSpinDensity(i);
+
+ }
+ }
+
+}
+
+void EvtJetSetCDF::store(EvtDecayBase* jsdecay){
+
+ if (njetsetdecays==ntable){
+
+ EvtDecayBasePtr* newjetsetdecays=new EvtDecayBasePtr[2*ntable+10];
+ int i;
+ for(i=0;i<ntable;i++){
+ newjetsetdecays[i]=jetsetdecays[i];
+ }
+ ntable=2*ntable+10;
+ delete [] jetsetdecays;
+ jetsetdecays=newjetsetdecays;
+ }
+
+ jetsetdecays[njetsetdecays++]=jsdecay;
+
+
+
+}
+
+
+void EvtJetSetCDF::WriteJetSetEntryHeader(ofstream &outdec, int lundkc,
+ EvtId evtnum,std::string name,
+ int chg, int cchg, int spin2,double mass,
+ double width, double maxwidth,double ctau,
+ int stable,double rawbrfrsum){
+
+
+ char sname[100];
+
+ int namelength=8;
+
+ int i,j;
+ int temp;
+ temp = spin2;
+
+ if (ctau>1000000.0) ctau=0.0;
+
+ strcpy(sname,name.c_str());
+
+ i=0;
+
+ while (sname[i]!=0){
+ i++;
+ }
+
+ // strip up to two + or -
+
+ if(evtnum.getId()>=0) {
+ if (sname[i-1]=='+'||sname[i-1]=='-'){
+ sname[i-1]=0;
+ i--;
+ }
+ if (sname[i-1]=='+'||sname[i-1]=='-'){
+ sname[i-1]=0;
+ i--;
+ }
+ // strip 0 except for _0 and chi...0
+ if (sname[i-1]=='0' && sname[i-2]!='_' && !(sname[0]=='c' && sname[1]=='h')){
+ sname[i-1]=0;
+ i--;
+ }
+ }
+
+ if (i>namelength) {
+ for(j=1;j<namelength;j++){
+ sname[j]=sname[j+i-namelength];
+ }
+ sname[namelength]=0;
+ }
+
+ cchg=0;
+
+ if(evtnum.getId()>=0) {
+ if (abs(EvtPDL::getStdHep(evtnum))==21) cchg=2;
+ if (abs(EvtPDL::getStdHep(evtnum))==90) cchg=-1;
+ if ((abs(EvtPDL::getStdHep(evtnum))<=8)&&
+ (abs(EvtPDL::getStdHep(evtnum))!=0)) cchg=1;
+
+ }
+
+ outdec << setw(5) << lundkc << " ";
+ outdec.width(namelength);
+ outdec << setiosflags(ios::left) << sname << resetiosflags(ios::left);
+ outdec << setw(3) << chg;
+ outdec << setw(3) << cchg;
+ outdec.width(3);
+ if (evtnum.getId()>=0) {
+ if (EvtPDL::chargeConj(evtnum)==evtnum) {
+ outdec << 0;
+ }
+ else{
+ outdec << 1;
+ }
+ }
+ else{
+ outdec << 0;
+ }
+ outdec.setf(ios::fixed);
+ outdec.precision(5);
+ outdec << setw(12) << mass;
+ outdec << setw(12) << width;
+ outdec.width(12);
+ if (fabs(width)<0.0000000001) {
+ outdec << 0.0 ;
+ }
+ else{
+ outdec << maxwidth;
+ }
+ outdec << setw(14) << ctau;
+ outdec.width(3);
+ if (evtnum.getId()>=0) {
+ if (ctau>1.0 || rawbrfrsum<0.000001) {
+ stable=0;
+ }
+ }
+ outdec << stable;
+ outdec << endl;
+ outdec.width(0);
+
+}
+
+void EvtJetSetCDF::WriteJetSetParticle(ofstream &outdec,EvtId ipar,
+ EvtId iparname,int &first){
+
+ int ijetset;
+
+ double br_sum=0.0;
+
+ for(ijetset=0;ijetset<njetsetdecays;ijetset++){
+
+ if (jetsetdecays[ijetset]->getParentId()==ipar){
+ br_sum+=jetsetdecays[ijetset]->getBranchingFraction();
+ }
+ if (jetsetdecays[ijetset]->getParentId()!=
+ EvtPDL::chargeConj(jetsetdecays[ijetset]->getParentId())&&
+ EvtPDL::chargeConj(jetsetdecays[ijetset]->getParentId())==ipar){
+ br_sum+=jetsetdecays[ijetset]->getBranchingFraction();
+ }
+
+
+ }
+
+ double br_sum_true=br_sum;
+
+ if (br_sum<0.000001) br_sum=1.0;
+
+ for(ijetset=0;ijetset<njetsetdecays;ijetset++){
+ if (jetsetdecays[ijetset]->getParentId()==ipar){
+
+ double br=jetsetdecays[ijetset]->getBranchingFraction();
+
+ int i,daugs[5];
+ EvtId cdaugs[5];
+
+ for(i=0;i<5;i++){
+
+ if(i<jetsetdecays[ijetset]->getNDaug()){
+ daugs[i]=EvtPDL::getStdHep(
+ jetsetdecays[ijetset]->getDaugs()[i]);
+ cdaugs[i]=EvtPDL::chargeConj(jetsetdecays[ijetset]->getDaugs()[i]);
+ }
+ else{
+ daugs[i]=0;
+ }
+ }
+
+ int channel;
+
+ channel=EvtDecayTable::findChannel(EvtPDL::chargeConj(ipar),
+ jetsetdecays[ijetset]->getModelName(),
+ jetsetdecays[ijetset]->getNDaug(),
+ cdaugs,
+ jetsetdecays[ijetset]->getNArg(),
+ jetsetdecays[ijetset]->getArgsStr());
+
+ if (jetsetdecays[ijetset]->getModelName()=="JETSET"){
+
+ if (first) {
+ first=0;
+ WriteJetSetEntryHeader(outdec,
+ EvtPDL::getLundKC(iparname),
+ iparname,
+ EvtPDL::name(iparname),
+ EvtPDL::chg3(iparname),
+ 0,0,EvtPDL::getMeanMass(ipar),
+ EvtPDL::getWidth(ipar),
+ EvtPDL::getMeanMass(ipar)-EvtPDL::getMinMass(ipar),
+ EvtPDL::getctau(ipar),1,br_sum_true);
+ }
+
+ int dflag=2;
+
+ if (EvtPDL::getStdHep(ipar)<0) {
+ dflag=3;
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ daugs[i]=EvtPDL::getStdHep(cdaugs[i]);
+ }
+
+ }
+
+ //now lets check to make sure that jetset, lycomp, knows
+ //about all particles!
+ int unknown=0;
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ if (lycomp_(&daugs[i])==0) {
+ unknown=1;
+ report(ERROR,"EvtGen") << "JetSet (lycomp) does not "
+ << "know the particle:"<<
+ EvtPDL::name(jetsetdecays[ijetset]->getDaugs()[i]).c_str()<<endl;
+ }
+ }
+
+ int istdheppar=EvtPDL::getStdHep(ipar);
+
+ if (lycomp_(&istdheppar)==0){
+ unknown=1;
+ report(ERROR,"EvtGen") << "JetSet (lycomp) does not "
+ << "know the particle:"<<
+ EvtPDL::name(ipar).c_str()<<endl;
+ }
+
+
+
+ if (unknown){
+ report(ERROR,"EvtGen") << "Therfore the decay:"<<endl;
+ report(ERROR,"EvtGen") << EvtPDL::name(jetsetdecays[ijetset]->getParentId()).c_str()<<" -> ";
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ report(ERROR,"") << EvtPDL::name(jetsetdecays[ijetset]->getDaugs()[i]).c_str()<<" ";
+ }
+ report(ERROR,"")<<endl;
+ report(ERROR,"EvtGen")<<"Will not be generated."<<endl;
+ return;
+ }
+
+
+ if (EvtPDL::chargeConj(ipar)==ipar) {
+ dflag=1;
+ //report(INFO,"EvtGen") << EvtPDL::name(iparname) << " dflag=1 because C(ipar)=ipar!"<<endl;
+ }
+
+
+ //if (channel>=0) {
+ // dflag=1;
+ //report(INFO,"EvtGen") << EvtPDL::name(iparname) << " dflag=1 because channel>=0"<<endl;
+ //}
+
+ // if (!(EvtPDL::getStdHep(ipar)<0&&channel>=0)){
+ if (1){
+
+ outdec.width(10);
+ outdec <<dflag;
+ outdec.width(5);
+ outdec <<(int)jetsetdecays[ijetset]->getArgs()[0];
+ outdec.width(12);
+ if (fabs(br)<0.000000001) {
+ outdec <<"0.00000";
+ }
+ else{
+ outdec <<br/br_sum;
+ }
+ outdec.width(8);
+ outdec <<daugs[0];
+ outdec.width(8);
+ outdec <<daugs[1];
+ outdec.width(8);
+ outdec <<daugs[2];
+ outdec.width(8);
+ outdec <<daugs[3];
+ outdec.width(8);
+ outdec <<daugs[4];
+ outdec<<endl;
+ outdec.width(0);
+ }
+ }
+ }
+ }
+}
+
+
+void EvtJetSetCDF::MakeJetSetFile(char* fname){
+
+ EvtId ipar;
+ int lundkc;
+
+ //int part_list[MAX_PART];
+
+ ofstream outdec;
+
+ outdec.open(fname);
+
+ //outdec << ";"<<endl;
+ //outdec << ";This decayfile has been automatically created by"<<endl;
+ //outdec << ";EvtGen from the DECAY.DEC file"<<endl;
+ //outdec << ";"<<endl;
+
+ int nokcentry;
+
+ for(lundkc=1;lundkc<=500;lundkc++){
+
+ nokcentry=1;
+
+ for(size_t iipar=0;iipar<EvtPDL::entries();iipar++){
+
+ ipar=EvtId(iipar,iipar);
+ //no aliased particles!
+ std::string tempStr = EvtPDL::name(ipar);
+ EvtId realId = EvtPDL::getId(tempStr);
+ if ( realId.isAlias() != 0 ) continue;
+ if (lundkc==EvtPDL::getLundKC(ipar)){
+
+ nokcentry=0;
+
+ int first=1;
+
+ WriteJetSetParticle(outdec,ipar,ipar,first);
+
+
+ EvtId ipar2=EvtPDL::chargeConj(ipar);
+
+
+ if (ipar2!=ipar){
+ WriteJetSetParticle(outdec,ipar2,ipar,first);
+ }
+
+ if (first){
+ WriteJetSetEntryHeader(outdec,
+ EvtPDL::getLundKC(ipar),
+ ipar,
+ EvtPDL::name(ipar),
+ EvtPDL::chg3(ipar),
+ 0,0,EvtPDL::getMeanMass(ipar),
+ EvtPDL::getWidth(ipar),
+ EvtPDL::getMeanMass(ipar)-EvtPDL::getMinMass(ipar),
+ EvtPDL::getctau(ipar),0,0.0);
+
+ }
+ }
+ }
+ if (nokcentry){
+
+ WriteJetSetEntryHeader(outdec,
+ lundkc,EvtId(-1,-1)," ",
+ 0,0,0,EvtPDL::getMeanMass(ipar),0.0,0.0,
+ EvtPDL::getctau(ipar),0,0.0);
+
+ }
+ }
+ outdec.close();
+}
+
+void EvtJetSetCDF::jetSetInit(){
+
+ static int first=1;
+
+ if (first){
+
+ first=0;
+
+ report(INFO,"EvtGen") << "Will initialize JetSet."<<endl;
+
+ char fname[200];
+
+ char hostBuffer[100];
+
+ if ( gethostname( hostBuffer, 100 ) != 0 ){
+ report(ERROR,"EvtGen") << " couldn't get hostname." << endl;
+ strncpy( hostBuffer, "hostnameNotFound", 100 );
+ }
+
+ char pid[100];
+
+ int thePid=getpid();
+
+ if ( sprintf( pid, "%d", thePid ) == 0 ){
+ report(ERROR,"EvtGen") << " couldn't get process ID." << endl;
+ strncpy( pid, "666", 100 );
+ }
+
+ strcpy(fname,"jet.d-");
+ strcat(fname,hostBuffer);
+ strcat(fname,"-");
+ strcat(fname,pid);
+
+ MakeJetSetFile(fname);
+ evtjetsetcdfinit_(fname,strlen(fname));
+
+ if (0==getenv("EVTSAVEJETD")){
+ char delcmd[300];
+ strcpy(delcmd,"rm -f ");
+ strcat(delcmd,fname);
+ system(delcmd);
+ }
+
+ int i;
+
+ for(i=0;i<ncommand;i++){
+ lygive_(commands[i].c_str(),strlen(commands[i].c_str()));
+
+ }
+
+ report(INFO,"EvtGen") << "Done initializing JetSet."<<endl;
+
+ //int itest = 5122;
+ //report(ERROR,"EvtGen TEST:") << lycomp_(&itest) << endl;
+
+
+ }
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtJetSet.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTJETSETCDF_HH
+#define EVTJETSETCDF_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+typedef EvtDecayBase* EvtDecayBasePtr;
+
+#include <iosfwd>
+
+class EvtJetSetCDF:public EvtDecayIncoherent {
+
+public:
+
+ EvtJetSetCDF();
+ virtual ~EvtJetSetCDF();
+
+ std::string getName();
+ EvtDecayBase* clone();
+ void decay(EvtParticle *p);
+
+ std::string commandName();
+ void command(std::string cmd);
+
+ void init();
+
+ void initProbMax();
+
+ //initialize jetset; sets up decay table and
+ //paramters. Static so it can be invoked from
+ //from EvtJscont.
+ static void jetSetInit();
+
+private:
+
+ void store(EvtDecayBase* jsdecay);
+ void fixPolarizations(EvtParticle* p);
+ static void MakeJetSetFile(char* fname);
+ static void WriteJetSetParticle(std::ofstream &outdec,EvtId ipar,EvtId iparname,int &first);
+ static void WriteJetSetEntryHeader(std::ofstream &outdec, int lundkc,
+ EvtId evtnum,std::string name,
+ int chg, int cchg, int spin2,double mass,
+ double width, double maxwidth,double ctau,
+ int stable,double rawbrfrsum);
+
+ static int njetsetdecays;
+ static EvtDecayBasePtr* jetsetdecays;
+ static int ntable;
+
+ static int ncommand;
+ static int lcommand;
+ static std::string* commands;
+
+};
+
+#endif
+
+
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtJetSetInit.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine evtjetsetcdfinit(fname)
+
+ implicit none
+
+ external lydata
+
+ character*(*) fname
+
+
+ open(54,STATUS='OLD',FILE=fname)
+
+ call LYUPDA(2,54)
+
+ close(54)
+
+
+C call LYLIST(12)
+
+
+ end
+
+
+
+
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtJetSetInit.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine evtjetsetinit(fname)
+
+ implicit none
+
+ external ludata
+
+ character*(*) fname
+
+
+ open(54,STATUS='OLD',FILE=fname)
+
+ call LUUPDA(2,54)
+
+ close(54)
+
+
+
+
+ end
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtJscont.cc
+//
+// Description: Routine to generate e+e- --> q\barq via Jetset
+//
+// Modification history:
+//
+// PCK August 4, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <stdio.h>
+#include <string.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtJscont.hh"
+#include "EvtGenModels/EvtJetSet.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+
+
+extern "C" {
+ extern void continuum_(double *,int *,int *,int *,
+ double *,double *,double *,double *);
+}
+
+extern "C" {
+ extern void lugive_(const char *cnfgstr,int length);
+}
+
+
+EvtJscont::~EvtJscont() {}
+
+std::string EvtJscont::getName(){
+
+ return "JSCONT";
+
+}
+
+EvtDecayBase* EvtJscont::clone(){
+
+ return new EvtJscont;
+
+}
+
+void EvtJscont::init(){
+
+ // check that there is 1 argument
+
+ checkNArg(1,2);
+
+}
+
+
+void EvtJscont::initProbMax(){
+
+ noProbMax();
+
+}
+
+
+void EvtJscont::decay( EvtParticle *p){
+
+ EvtJetSet::jetSetInit();
+ static int first=1;
+
+ if (first){
+ first=0;
+
+ float val=0.6;
+ if ( getNArg()>1) {
+ val=getArg(1);
+ }
+ char vak[20];
+ sprintf(vak,"PARJ(13)=%f",val);
+ std::string temp(vak);
+ lugive_(temp.c_str(),strlen(temp.c_str()));
+ }
+ EvtVector4R p4[100];
+
+ double energy=p->mass();
+
+ int flavor;
+
+ int i,more;
+ int ndaugjs;
+ int kf[100];
+ EvtId id[100];
+ int type[MAX_DAUG];
+
+ flavor=(int)getArg(0);
+
+ double px[100],py[100],pz[100],e[100];
+
+ if ( p->getNDaug() != 0 ) { return;}
+ do{
+
+ continuum_(&energy,&flavor,&ndaugjs,kf,px,py,pz,e);
+
+ for(i=0;i<ndaugjs;i++){
+
+ id[i]=EvtPDL::evtIdFromStdHep(kf[i]);
+
+ type[i]=EvtPDL::getSpinType(id[i]);
+
+ // have to protect against negative mass^2 for massless particles
+ // i.e. neutrinos and photons.
+ // this is uggly but I need to fix it right now....
+
+ if (px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i]>=e[i]*e[i]){
+
+ e[i]=sqrt(px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i])+0.0000000000001;
+
+ }
+
+ p4[i].set(e[i],px[i],py[i],pz[i]);
+
+ }
+
+ int channel=EvtDecayTable::inChannelList(p->getId(),ndaugjs,id);
+
+ more=((channel!=-1)&&(channel!=p->getChannel()));
+
+
+ }while(more);
+
+ p->makeDaughters(ndaugjs,id);
+
+ for(i=0;i<ndaugjs;i++){
+ p->getDaug(i)->init( id[i], p4[i] );
+ }
+ return ;
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtJscont.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTJSCONT_HH
+#define EVTJSCONT_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+class EvtJscont:public EvtDecayIncoherent {
+
+public:
+
+ EvtJscont() {}
+ virtual ~EvtJscont();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtJscontCDF.cc
+//
+// Description: Routine to generate e+e- --> q\barq via Jetset
+//
+// Modification history:
+//
+// PCK August 4, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <stdio.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtJscontCDF.hh"
+#include "EvtGenModels/EvtJetSetCDF.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+using namespace std;
+
+extern "C" {
+ extern void continuumcdf_(double *,int *,int *,int *,
+ double *,double *,double *,double *);
+}
+
+extern "C" {
+ extern void lygive_(const char *cnfgstr,int length);
+}
+
+
+EvtJscontCDF::~EvtJscontCDF() {}
+
+std::string EvtJscontCDF::getName(){
+
+ return "JSCONTCDF";
+
+}
+
+EvtDecayBase* EvtJscontCDF::clone(){
+
+ return new EvtJscontCDF;
+
+}
+
+void EvtJscontCDF::init(){
+
+ // check that there are 1 argument
+
+ checkNArg(1,2);
+
+}
+
+
+void EvtJscontCDF::initProbMax(){
+
+ noProbMax();
+
+}
+
+
+void EvtJscontCDF::decay( EvtParticle *p){
+
+ EvtJetSetCDF::jetSetInit();
+ static int first=1;
+
+ if (first){
+ first=0;
+
+ float val=0.6;
+ if ( getNArg()>1) {
+ val=getArg(1);
+ }
+ char vak[20];
+ sprintf(vak,"PARJ(13)=%f",val);
+ std::string temp(vak);
+ lygive_(temp.c_str(),strlen(temp.c_str()));
+ }
+ EvtVector4R p4[100];
+
+ double energy=p->mass();
+
+ int flavor;
+
+ int i,more;
+ int ndaugjs;
+ int kf[100];
+ EvtId id[100];
+ int type[MAX_DAUG];
+
+ flavor=(int)getArg(0);
+
+ double px[100],py[100],pz[100],e[100];
+
+ if ( p->getNDaug() != 0 ) { return;}
+ do{
+
+ continuumcdf_(&energy,&flavor,&ndaugjs,kf,px,py,pz,e);
+
+ for(i=0;i<ndaugjs;i++){
+
+ id[i]=EvtPDL::evtIdFromStdHep(kf[i]);
+
+ type[i]=EvtPDL::getSpinType(id[i]);
+
+ // have to protect against negative mass^2 for massless particles
+ // i.e. neutrinos and photons.
+ // this is uggly but I need to fix it right now....
+
+ if (px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i]>=e[i]*e[i]){
+
+ e[i]=sqrt(px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i])+0.0000000000001;
+
+ }
+
+ p4[i].set(e[i],px[i],py[i],pz[i]);
+
+ }
+
+ int channel=EvtDecayTable::inChannelList(p->getId(),ndaugjs,id);
+
+ more=((channel!=-1)&&(channel!=p->getChannel()));
+
+
+ }while(more);
+
+ p->makeDaughters(ndaugjs,id);
+
+ for(i=0;i<ndaugjs;i++){
+ p->getDaug(i)->init( id[i], p4[i] );
+ }
+ return ;
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtJscont.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTJSCONTCDF_HH
+#define EVTJSCONTCDF_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+class EvtJscontCDF:public EvtDecayIncoherent {
+
+public:
+
+ EvtJscontCDF() {}
+ virtual ~EvtJscontCDF();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSLPole.cc
+//
+// Description: Routine to implement semileptonic decays according
+// to light cone sum rules
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtKKLambdaC.hh"
+#include "EvtGenModels/EvtKKLambdaCFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicBaryonAmp.hh"
+#include <string>
+
+EvtKKLambdaC::~EvtKKLambdaC() {}
+
+std::string EvtKKLambdaC::getName(){
+
+ return "KK_LAMBDAC_SL";
+
+}
+
+
+EvtDecayBase* EvtKKLambdaC::clone(){
+
+ return new EvtKKLambdaC;
+
+}
+
+void EvtKKLambdaC::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ _calcamp->CalcAmp(p,_amp2,_ffmodel);
+ return;
+}
+
+void EvtKKLambdaC::initProbMax(){
+
+EvtId parnum,mesnum,lnum,nunum;
+
+parnum = getParentId();
+mesnum = getDaug(0);
+lnum = getDaug(1);
+nunum = getDaug(2);
+
+//double mymaxprob = _calcamp->CalcMaxProb(parnum,mesnum,
+// lnum,nunum,_ffmodel);
+ double mymaxprob=100.;
+setProbMax(mymaxprob);
+
+}
+
+
+void EvtKKLambdaC::init(){
+
+ checkNDaug(3);
+
+ //We expect the parent to be a dirac
+ //and the daughters to be dirac lepton neutrino
+
+ checkSpinParent(EvtSpinType::DIRAC);
+ checkSpinDaughter(0,EvtSpinType::DIRAC);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ _ffmodel = new EvtKKLambdaCFF(getNArg(),getArgs());
+
+ _calcamp = new EvtSemiLeptonicBaryonAmp;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtKKLambdaC.hh
+//
+// Description:Semileptonic decays with pole form form factors
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTKKLAMBDAC_HH
+#define EVTKKLAMBDAC_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class Evtparticle;
+
+class EvtKKLambdaC:public EvtDecayAmp {
+
+public:
+
+ EvtKKLambdaC() {}
+ virtual ~EvtKKLambdaC();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+private:
+ EvtSemiLeptonicFF *_ffmodel;
+ EvtSemiLeptonicAmp *_calcamp;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSLPoleFF.cc
+//
+// Description: Routine to implement semileptonic form factors
+// according to the model SLPoles
+//
+// Modification history:
+//
+// DJL April 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtKKLambdaCFF.hh"
+#include <string>
+#include "EvtGenBase/EvtPDL.hh"
+#include <math.h>
+#include <stdlib.h>
+
+EvtKKLambdaCFF::EvtKKLambdaCFF(int numarg, double *arglist) {
+ _nargs = numarg;
+ for (int i=0; i<numarg; i++) {
+ _args[i] = arglist[i]; }
+
+ return;
+}
+
+void EvtKKLambdaCFF::getbaryonff(EvtId parent,EvtId daught,
+ double t, double mass, double *f1v,
+ double *f1a, double *f2v, double *f2a ) {
+
+ *f1v=(_args[0])/(1.0-(t/(_args[1]*_args[1])));
+
+ *f2v=0.;
+ *f2a=0.;
+ *f1a=-1.0*(*f1v);
+
+}
+
+void EvtKKLambdaCFF::getscalarff(EvtId, EvtId,
+ double, double, double*,
+ double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getscalarff in EvtKKLambdaCFF.\n";
+ ::abort();
+
+}
+
+void EvtKKLambdaCFF::getvectorff(EvtId, EvtId,
+ double, double, double*,
+ double*, double*, double* ){
+
+ report(ERROR,"EvtGen") << "Not implemented :getvectorff in EvtKKLambdaCFF.\n";
+ ::abort();
+
+}
+
+
+void EvtKKLambdaCFF::gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :gettensorff in EvtKKLambdaCFF.\n";
+ ::abort();
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSLPoleFF.hh
+//
+// Description:Form factor routines for EvtSLPole
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTKKLAMBDACFF_HH
+#define EVTKKLAMBDACFF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtId.hh"
+
+class EvtKKLambdaCFF : public EvtSemiLeptonicFF {
+
+public:
+ EvtKKLambdaCFF(int numarg, double *arglist);
+
+ void getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *f0p, double *f0m);
+
+ void getvectorff(EvtId, EvtId,
+ double, double, double*,
+ double*, double*, double* );
+
+ void gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+ void getbaryonff(EvtId parent,EvtId daught,
+ double t, double mass, double *f1v,
+ double *f1a, double *f2v, double *f2a );
+
+private:
+ int _nargs;
+ double _args[2];
+
+};
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtKstarnunu.cc
+//
+// Description: B ==> K* nu nubar
+//
+// Modification history:
+//
+// RYD September 29, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+// Package: EVT
+// Module: EvtKstarnunu
+//
+//
+// Implementation:
+//
+//
+// Author: RYD
+// Created: Sept. 29 1997
+//
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenModels/EvtKstarnunu.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtKstarnunu::~EvtKstarnunu() {}
+
+std::string EvtKstarnunu::getName(){
+
+ return "KSTARNUNU";
+
+}
+
+
+EvtDecayBase* EvtKstarnunu::clone(){
+
+ return new EvtKstarnunu;
+
+}
+
+void EvtKstarnunu::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be K neutrino netrino
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::NEUTRINO);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+}
+
+
+void EvtKstarnunu::decay(EvtParticle *p){
+
+ static EvtId NUE=EvtPDL::getId("nu_e");
+ static EvtId NUM=EvtPDL::getId("nu_mu");
+ static EvtId NUT=EvtPDL::getId("nu_tau");
+ static EvtId NUEB=EvtPDL::getId("anti-nu_e");
+ static EvtId NUMB=EvtPDL::getId("anti-nu_mu");
+ static EvtId NUTB=EvtPDL::getId("anti-nu_tau");
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ double m_b = p->mass();
+
+ EvtParticle *meson, *neutrino1, *neutrino2;
+ meson = p->getDaug(0);
+ neutrino1 = p->getDaug(1);
+ neutrino2 = p->getDaug(2);
+ EvtVector4R momnu1 = neutrino1->getP4();
+ EvtVector4R momnu2 = neutrino2->getP4();
+ EvtVector4R momkstar = meson->getP4();
+
+ double v0_0, a0_0, a1_0, a2_0;
+ double m2v0, m2a0, a1_b, a2_b;
+ v0_0 = 0.47;
+ a0_0 = 0.30;
+ a1_0 = 0.37;
+ a2_0 = 0.40;
+ m2v0 = 5.*5.;
+ m2a0 = 4.8*4.8;
+ a1_b = -0.023;
+ a2_b = 0.034;
+
+ EvtVector4R q = momnu1+momnu2;
+ double q2 = q.mass2();
+
+ double v0, a1, a2;
+ v0 = v0_0/(1-q2/m2v0);
+ a1 = a1_0*(1+a1_b*q2);
+ a2 = a2_0*(1+a2_b*q2);
+
+ EvtVector4R p4b; p4b.set(m_b,0.,0.,0.); // Do calcs in mother rest frame
+
+ double m_k = meson->mass();
+
+ EvtTensor4C tds=(-2*v0/(m_b+m_k))*dual(directProd(p4b,momkstar))
+ - EvtComplex(0.0,1.0)*
+ ( (m_b+m_k)*a1*EvtTensor4C::g()
+ - (a2/(m_b+m_k))*directProd(p4b-momkstar,p4b+momkstar));
+
+ EvtVector4C l;
+
+ if (getDaug(1)==NUE||getDaug(1)==NUM||getDaug(1)==NUT) {
+ l=EvtLeptonVACurrent(neutrino1->spParentNeutrino(),
+ neutrino2->spParentNeutrino());
+ }
+ if (getDaug(1)==NUEB||getDaug(1)==NUMB||getDaug(1)==NUTB) {
+ l=EvtLeptonVACurrent(neutrino2->spParentNeutrino(),
+ neutrino1->spParentNeutrino());
+ }
+
+ EvtVector4C et0,et1,et2;
+ et0 = tds.cont1( meson->epsParent(0).conj() );
+ et1 = tds.cont1( meson->epsParent(1).conj() );
+ et2 = tds.cont1( meson->epsParent(2).conj() );
+
+ vertex(0,l*et0);
+ vertex(1,l*et1);
+ vertex(2,l*et2);
+
+ return;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtKstarnunu.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTKSTARNUNU_HH
+#define EVTKSTARNUNU_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtKstarnunu:public EvtDecayAmp {
+
+public:
+
+ EvtKstarnunu() {}
+ virtual ~EvtKstarnunu();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech
+//
+// Module: EvtKstarstargamma.cc
+//
+// Description: Routine for the decau B->K**gamma
+//
+// Modification history:
+//
+// Ryd November 15, 2002 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtPhotonParticle.hh"
+#include "EvtGenBase/EvtTensorParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtKstarstargamma.hh"
+#include <string>
+#include "EvtGenBase/EvtEvalHelAmp.hh"
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+
+EvtKstarstargamma::~EvtKstarstargamma() {}
+
+std::string EvtKstarstargamma::getName(){
+
+ return "KSTARSTARGAMMA";
+
+}
+
+
+EvtDecayBase* EvtKstarstargamma::clone(){
+
+ return new EvtKstarstargamma;
+
+}
+
+void EvtKstarstargamma::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+
+ // check that there are 3 daughters
+ checkNDaug(3);
+
+ // check the parent and daughter spins
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::PHOTON);
+}
+
+void EvtKstarstargamma::initProbMax() {
+
+ //setProbMax(1.0);
+
+}
+
+void EvtKstarstargamma::decay( EvtParticle *p){
+
+/*
+
+ The EvtEvalHelAmp is completely broken...
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle* kaon = p->getDaug(0);
+ EvtParticle* pion = p->getDaug(1);
+ EvtParticle* photon = p->getDaug(2);
+
+
+ EvtComplexPtrPtr Hd1=new EvtComplexPtr[5];
+ Hd1[0]=new EvtComplex[2];
+ Hd1[1]=new EvtComplex[2];
+ Hd1[2]=new EvtComplex[2];
+ Hd1[3]=new EvtComplex[2];
+ Hd1[4]=new EvtComplex[2];
+
+ Hd1[0][0]=0.0;
+ Hd1[0][1]=0.0;
+ Hd1[1][0]=0.0;
+ Hd1[1][1]=0.0;
+ Hd1[2][0]=0.0;
+ Hd1[2][1]=0.0;
+ Hd1[3][0]=0.0;
+ Hd1[3][1]=1.0;
+ Hd1[4][0]=0.0;
+ Hd1[4][1]=0.0;
+
+ EvtEvalHelAmp d1(EvtSpinType::SCALAR,EvtSpinType::TENSOR,
+ EvtSpinType::PHOTON,Hd1);
+
+ EvtScalarParticle theB;
+
+ theB.init(p->getId(),p->getP4Restframe());
+
+ EvtVector4R theKstarP4=kaon->getP4()+pion->getP4();
+
+ EvtTensorParticle theKstar;
+ theKstar.init(EvtPDL::getId(std::string("K_2*0")),theKstarP4);
+
+ EvtPhotonParticle thePhoton;
+ thePhoton.init(EvtPDL::getId(std::string("K_2*0")),photon->getP4());
+
+ theKstar.addDaug(&theB);
+ thePhoton.addDaug(&theB);
+
+ EvtAmp amp1;
+
+ d1.evalAmp(&theB,amp1);
+
+ EvtComplexPtrPtr Hd2=new EvtComplexPtr[1];
+ Hd2[0]=new EvtComplex[1];
+
+ Hd2[0][0]=1.0;
+
+
+ EvtEvalHelAmp d2(EvtSpinType::TENSOR,EvtSpinType::SCALAR,
+ EvtSpinType::SCALAR,Hd2);
+
+
+ EvtVector4R theKstarP4boost(theKstarP4.get(0),-theKstarP4.get(1),-theKstarP4.get(2),-theKstarP4.get(3));
+
+ EvtScalarParticle theKaon;
+ theKaon.init(EvtPDL::getId(std::string("K+")),boostTo(kaon->getP4(),theKstarP4boost));
+
+ EvtScalarParticle thePion;
+ thePion.init(EvtPDL::getId(std::string("pi+")),boostTo(pion->getP4(),theKstarP4boost));
+
+ theKaon.addDaug(&theKstar);
+ thePion.addDaug(&theKstar);
+
+ // Calculate the propagator
+
+ double m = theKstarP4.mass();
+ EvtTwoBodyVertex v(0.5,0.14,1.4,2);
+ EvtTwoBodyKine v1(0.5,0.14,m);
+ EvtPropBreitWignerRel prop(1.4,0.2);
+
+ // Mass-dependent width correction and amplitude calculation
+
+ double width = prop.g0() * v.widthFactor(v1);
+ prop.set_g0(width);
+ EvtComplex bwamp = prop.evaluate(m);
+
+
+ EvtAmp amp2;
+
+ d2.evalAmp(&theKstar,amp2);
+
+ vertex(0,bwamp*(amp1._amp[0]*amp2._amp[0]+
+ amp1._amp[1]*amp2._amp[1]+
+ amp1._amp[2]*amp2._amp[2]+
+ amp1._amp[3]*amp2._amp[3]+
+ amp1._amp[4]*amp2._amp[4]));
+
+ vertex(1,bwamp*(amp1._amp[5]*amp2._amp[0]+
+ amp1._amp[6]*amp2._amp[1]+
+ amp1._amp[7]*amp2._amp[2]+
+ amp1._amp[8]*amp2._amp[3]+
+ amp1._amp[9]*amp2._amp[4]));
+
+*/
+
+ return;
+}
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 Caltech
+//
+// Module: EvtGen/EvtKstarstargamma.hh
+//
+// Description:
+//
+// Modification history:
+//
+// RYD Nov 15, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTKSTARSTARGAMMA_HH
+#define EVTKSTARSTARGAMMA_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtKstarstargamma:public EvtDecayAmp {
+
+public:
+
+ EvtKstarstargamma() {}
+ virtual ~EvtKstarstargamma();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Caltech
+//
+// Module: EvtLNuGamma.cc
+//
+// Description: B+ -> l+ nu gamma
+//
+//
+// Modification history:
+//
+// Edward Chen April 24, 2001 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtLNuGamma.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+
+EvtLNuGamma::EvtLNuGamma(){
+ _fafvzero = false;
+}
+
+EvtLNuGamma::~EvtLNuGamma() {}
+
+std::string EvtLNuGamma::getName(){
+
+ return "LNUGAMMA";
+
+}
+
+
+EvtDecayBase* EvtLNuGamma::clone(){
+
+ return new EvtLNuGamma;
+
+}
+
+void EvtLNuGamma::init(){
+
+ // check that there are 3 or 4 arguments
+ checkNArg(3,4);
+ checkNDaug(3);
+
+ if (getNArg() == 4){
+ // Argv[3] is a flag set to 0 if abs(f_a/f_v) is 1
+ // and not set to 0 if f_a/f_v is set to 0.
+ if (getArg(3) > 0){
+ _fafvzero = true;
+ }
+ else{
+ _fafvzero = false;
+ }
+ }
+ else{
+ _fafvzero = false;
+ }
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::DIRAC);
+ checkSpinDaughter(1,EvtSpinType::NEUTRINO);
+ checkSpinDaughter(2,EvtSpinType::PHOTON);
+}
+
+void EvtLNuGamma::initProbMax(){
+
+
+ setProbMax(7000.0);
+
+}
+
+void EvtLNuGamma::decay(EvtParticle *p){
+
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId DM=EvtPDL::getId("D-");
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtComplex myI(0,1);
+
+ EvtParticle *lept, *neut,*phot;
+ lept=p->getDaug(0);
+ neut=p->getDaug(1);
+ phot=p->getDaug(2);
+
+ EvtVector4C lept1,lept2,photon1,photon2;
+
+ if (p->getId()==BM||p->getId()==DM) {
+ lept1=EvtLeptonVACurrent(lept->spParent(0),neut->spParentNeutrino());
+ lept2=EvtLeptonVACurrent(lept->spParent(1),neut->spParentNeutrino());
+ }
+ else{
+ lept1=EvtLeptonVACurrent(neut->spParentNeutrino(),lept->spParent(0));
+ lept2=EvtLeptonVACurrent(neut->spParentNeutrino(),lept->spParent(1));
+ }
+
+
+
+ EvtVector4R photp = phot->getP4(); // Photon 4-momentum in parent rest frame
+ double photE = photp.get(0); // Photon energy in parent rest frame
+
+ EvtVector4C photone1 = phot->epsParentPhoton(0).conj();
+ EvtVector4C photone2 = phot->epsParentPhoton(1).conj();
+
+ EvtVector4R parVelocity(1,0,0,0); // Parent velocity in parent rest-frame
+
+ double fv,fa;
+
+ fv = getFormFactor(photE);
+ if (_fafvzero){
+ fa = 0.0;
+ }
+ else if (p->getId()==BM||p->getId()==DM) {
+ fa = - fv;
+ }
+ else{
+ fa = fv;
+ }
+
+ EvtVector4C temp1a = dual(directProd(parVelocity,photp)).cont2(photone1);
+ EvtVector4C temp2a = dual(directProd(parVelocity,photp)).cont2(photone2);
+
+ EvtVector4C temp1b = (photone1)*(parVelocity*photp);
+ EvtVector4C temp1c = (photp)*(photone1*parVelocity);
+
+ EvtVector4C temp2b = (photone2)*(parVelocity*photp);
+ EvtVector4C temp2c = (photp)*(photone2*parVelocity);
+
+ photon1 = (temp1a*fv) + (myI*fa*(temp1b - temp1c));
+ photon2 = (temp2a*fv) + (myI*fa*(temp2b - temp2c));
+
+ vertex(0,0,lept1.cont(photon1));
+ vertex(0,1,lept1.cont(photon2));
+ vertex(1,0,lept2.cont(photon1));
+ vertex(1,1,lept2.cont(photon2));
+
+ return;
+
+}
+
+double EvtLNuGamma::getFormFactor(double photonEnergy){
+ // Arg[0] = photon mass cutoff (GeV)
+ // Arg[1] = R (GeV^(-1))
+ // Arg[2] = m_b (GeV)
+ // Using Korchemsky et al. Phy Rev D 61 (2000) 114510
+ // Up to a constant
+
+ double formFactor = 0;
+ double qu = 2./3.;
+ double qb = -1./3.;
+
+ if (photonEnergy > getArg(0)){
+ formFactor = (1/photonEnergy) * ((qu*getArg(1)) - (qb/getArg(2)));
+ }
+ return formFactor;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Caltech
+//
+// Module: EvtGen/EvtLNuGamma.hh
+//
+// Description: B+ -> l+ nu gamma. Form factor is tree level, from
+// Korchemsky, Pirjol, and Yan,Phy Rev D 61 (200) 114510
+//
+//
+// Modification history:
+//
+// Edward Chen April 24, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTLNUGAMMA_HH
+#define EVTLNUGAMMA_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtLNuGamma:public EvtDecayAmp {
+
+public:
+
+ EvtLNuGamma();
+ virtual ~EvtLNuGamma();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+ double getFormFactor(double photonEnergy);
+
+ bool _fafvzero;
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2003 Caltech
+//
+// Module: EvtGen/EvtRadiativeBaryonicPenguins.hh
+//
+// Description:Implementation of the decay B- -> lambda p_bar gamma according to
+// Cheng, Yang; hep-ph/0201015
+//
+// Modification history:
+//
+// JFS December 16th, 2003 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenModels/EvtLambdaP_BarGamma.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtDiracParticle.hh"
+#include "EvtGenBase/EvtPhotonParticle.hh"
+#include <stdlib.h>
+using std::cout;
+using std::endl;
+
+EvtLambdaP_BarGamma::EvtLambdaP_BarGamma() :
+ _mLambdab ( 5.624), // Lambda_b mass
+ _mLambda0 ( 1.115684), // Lambda0 mass
+ _c7Eff ( -0.31), // Wilson coefficient
+ _mb ( 4.4), // running b mass
+ _mV ( 5.42), // pole mass vector current
+ _mA ( 5.86), // pole mass axial current
+ _GF ( 1.166E-5), // Fermi constant
+ _gLambdab ( 16), // coupling constant Lambda_b -> B- p
+ _e0 ( 1), // electromagnetic coupling (+1)
+ _g1 ( 0.64), // heavy-light form factors at q_mSqare
+ _g2 ( -0.10),
+ _f1 ( 0.64),
+ _f2 ( -0.31),
+ _VtbVtsStar ( 0.038) // |V_tb V_ts^*|
+{
+}
+
+
+
+std::string EvtLambdaP_BarGamma::getName(){
+ return "B_TO_LAMBDA_PBAR_GAMMA";
+}
+
+EvtDecayBase* EvtLambdaP_BarGamma::clone(){
+ return new EvtLambdaP_BarGamma;
+}
+
+void EvtLambdaP_BarGamma::init() {
+ // no arguments, daughter lambda p_bar gamma
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(0, EvtSpinType::DIRAC);
+ checkSpinDaughter(1, EvtSpinType::DIRAC);
+ checkSpinDaughter(2, EvtSpinType::PHOTON);
+}
+
+
+// initialize phasespace and calculate the amplitude
+void EvtLambdaP_BarGamma::decay(EvtParticle* p) {
+ EvtComplex I(0, 1);
+
+ p->initializePhaseSpace(getNDaug(), getDaugs());
+
+ EvtDiracParticle* theLambda = static_cast<EvtDiracParticle*>(p->getDaug(0));
+ EvtVector4R lambdaMomentum = theLambda->getP4Lab();
+
+ EvtDiracParticle* theAntiP = static_cast<EvtDiracParticle*>(p->getDaug(1));
+
+ EvtPhotonParticle* thePhoton = static_cast<EvtPhotonParticle*>(p->getDaug(2));
+ EvtVector4R photonMomentum = thePhoton->getP4Lab(); // get momentum in the same frame
+
+ // loop over all possible spin states
+ for (int i=0; i<2; ++i) {
+ EvtDiracSpinor lambdaPol = theLambda->spParent(i);
+ for (int j=0; j<2; ++j) {
+ EvtDiracSpinor antiP_Pol = theAntiP->spParent(j);
+ for (int k=0; k<2; ++k) {
+ EvtVector4C photonPol = thePhoton->epsParentPhoton(k); // one of two possible polarization states
+ EvtGammaMatrix photonGamma; // sigma[mu][nu] * epsilon[mu] * k[nu] (watch lower indices)
+ for (int mu=0; mu<4; ++mu)
+ for (int nu=0; nu<4; ++nu)
+ photonGamma += EvtGammaMatrix::sigmaLower(mu, nu) * photonPol.get(mu) * photonMomentum.get(nu);
+
+ EvtComplex amp =
+ -I*_gLambdab * lambdaPol.adjoint() * ((constA()*EvtGammaMatrix::id() + constB()*EvtGammaMatrix::g5())
+ * photonGamma * (slash(lambdaMomentum) + slash(photonMomentum) + _mLambdab*EvtGammaMatrix::id())
+ / ((lambdaMomentum + photonMomentum)*(lambdaMomentum + photonMomentum) - _mLambdab*_mLambdab)
+ * EvtGammaMatrix::g5() * antiP_Pol);
+ // use of parentheses so I do not have to define EvtDiracSpinor*EvtGammaMatrix, which shouldn't be defined to prevent errors in indexing
+
+ vertex(i, j, k, amp);
+ }
+ }
+ }
+}
+
+void EvtLambdaP_BarGamma::initProbMax()
+{
+ // setProbMax(1);
+ setProbMax(9.0000E-13); // found by trial and error
+}
+
+// form factors at 0
+const double EvtLambdaP_BarGamma::f0(double fqm, int n){
+ return fqm * pow(1 - pow(_mLambdab - _mLambda0, 2) / (_mV * _mV), n);
+}
+
+const double EvtLambdaP_BarGamma::g0(double gqm, int n){
+ return gqm * pow(1 - pow(_mLambdab - _mLambda0, 2) / (_mA * _mA), n);
+}
+
+
+const double EvtLambdaP_BarGamma::constA(){
+ return _GF/sqrt(2.) * _e0 / (8 * EvtConst::pi*EvtConst::pi) * 2 * _c7Eff * _mb * _VtbVtsStar
+ * (f0(_f1) - f0(_f2));
+}
+
+const double EvtLambdaP_BarGamma::constB(){
+ return _GF/sqrt(2.) * _e0 / (8 * EvtConst::pi*EvtConst::pi) * 2 * _c7Eff * _mb * _VtbVtsStar
+ * (g0(_g1) - (_mLambdab - _mLambda0) / (_mLambdab + _mLambda0) * g0(_g2));
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2003 Caltech
+//
+// Module: EvtGen/EvtRadiativeBaryonicPenguins.hh
+//
+// Description:Implementation of the decay B- -> lambda p_bar gamma according to
+// Cheng, Yang; hep-ph/0201015
+//
+// Modification history:
+//
+// JFS December 16th, 2003 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTLAMBDAPBARGAMMA_HH
+#define EVTLAMBDAPBARGAMMA_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtConst.hh"
+
+class EvtLambdaP_BarGamma : public EvtDecayAmp {
+
+public:
+
+ EvtLambdaP_BarGamma();
+ ~EvtLambdaP_BarGamma() {;}
+
+ std::string getName();
+ EvtDecayBase* clone();
+ void decay(EvtParticle* p);
+ void init();
+ void initProbMax();
+
+private:
+ // some constants to make the code easier to read and maintain
+ // these three should be constants... (implementation of getMass() prohibits this)
+ double _mLambdab; // = 5.624; // Lambda_b mass
+ double _mLambda0; // = 1.115684; // Lambda0 mass
+ double _c7Eff; // = -0.31; // Wilson coefficient
+ double _mb; // = 4.4; // running b mass
+ double _mV; // = 5.42; // pole mass vector current
+ double _mA; // = 5.86; // pole mass axial current
+ double _GF; // = 1.166E-5; // Fermi constant
+ double _gLambdab; // = 16; // coupling constant Lambda_b -> B- p
+ double _e0; // = 1; // electromagnetic coupling (+1)
+ double _g1; // = 0.64; // heavy-light form factors at q_mSqare
+ double _g2; // = -0.10;
+ double _f1; // = 0.64;
+ double _f2; // = -0.31;
+ double _VtbVtsStar;// = 0.038; // |V_tb V_ts^*|
+
+ // user never needs to call this -> private
+ // baryonic form factors f(p), g(p), at p=0
+ const double f0(const double f_qm, int n=1); // calculate f(0) with f(q_max)
+ const double g0(const double f_qm, int n=1); // calculate g(0) with g(q_max)
+
+ // shorthand for constants a and b in the formula
+ const double constA();
+ const double constB();
+
+ // initialize phasespace and calculate the amplitude for one (i=0,1) state of the photon
+ EvtComplex calcAmpliude(const EvtParticle* p, const unsigned int polState);
+
+};
+
+
+#endif
--- /dev/null
+//----------------------------------------------------------------------------------
+//
+// Module: EvtLb2Lll.cpp
+//
+// Desription: Routine to implement Lambda_b0 -> Lambda_0 l+ l- decays accroding to
+// several models: Chen. Geng.
+// Aliev. Ozpineci. Savci.
+//
+// Modification history:
+//
+// 09/02/2009 PR Commented check for (anti-)Lambda0 names
+// 15/09/2004 PR Module created according to PHSP model
+// 20/02/2005 PR Added parameters, created matrix element (without polarization)
+// 04/03/2005 PR LD contrib., corrected WC eff. according to Chen. Geng.
+//
+//----------------------------------------------------------------------------------
+
+#ifdef WIN32
+#pragma warning( disable : 4786 )
+// Disable anoying warning about symbol size
+#endif
+
+#include "EvtGenModels/EvtLb2Lll.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtDiracParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenBase/EvtGammaMatrix.hh"
+#include <stdio.h>
+#include <string.h>
+
+EvtLb2Lll::~EvtLb2Lll() {}
+
+EvtDecayBase* EvtLb2Lll::clone(){
+ return new EvtLb2Lll;
+}
+
+std::string EvtLb2Lll::getName(){
+ return "Lb2Lll";
+}
+
+void EvtLb2Lll::init(){
+
+ if(getNArg()>8){ // Decay parameters
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll generator expected max. 8 arguments but found: " << getNArg() << std::endl;
+ report(INFO ,"EvtGen") << " 1. Lambda_b0 polarization - zero is default" << std::endl;
+ report(INFO ,"EvtGen") << " 2. Model type - \"SM\" for Standard Model is default" << std::endl;
+ report(INFO ,"EvtGen") << " 3. Form-Factors - \"HQET\" is used by default" << std::endl;
+ report(INFO ,"EvtGen") << " 4. How to set polarization - \"ModifiedSpinors\" is default" << std::endl;
+ report(INFO ,"EvtGen") << " 5. Include long distance (LD) effects - \"SD\" (no) is default" << std::endl;
+ report(INFO ,"EvtGen") << " 6. NonFactorizable contribution (omega) to b->sg decay at q2=0 " << std::endl;
+ report(INFO ,"EvtGen") << " 7. Note on every x-th decay" << std::endl;
+ report(INFO ,"EvtGen") << " 8. Maximum probability - automatic by default" << std::endl;
+ ::abort();
+ }
+
+ if(getNDaug()!=3){ // Check that there are 3 daughters only
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll generator expected 3 daughters but found: " << getNDaug() << std::endl;
+ ::abort();
+ }
+
+ // TODO: better check based on spin and falvour is needed to allow usage of aliases !
+ if(EvtPDL::name(getParentId())=="Lambda_b0"){ // Check daughters of Lambda_b0
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found Lambda_b0" << std::endl;
+ //if(EvtPDL::name(getDaug(0))!="Lambda0"){
+ // report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll generator expected Lambda0 daughter but found: " << EvtPDL::name(getDaug(0)) << std::endl;
+ // ::abort();
+ //}
+ if(EvtPDL::name(getDaug(1))=="e-" && EvtPDL::name(getDaug(2))=="e+"){
+ m_decayName="Lambda_b0 -> Lambda0 e- e+";
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found decay: Lambda_b0 -> Lambda0 e- e+" << std::endl;
+ }else if(EvtPDL::name(getDaug(1))=="mu-" && EvtPDL::name(getDaug(2))=="mu+"){
+ m_decayName="Lambda_b0 -> Lambda0 mu- mu+";
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found decay: Lambda_b0 -> Lambda0 mu- mu+" << std::endl;
+ }else if(EvtPDL::name(getDaug(1))=="tau-" && EvtPDL::name(getDaug(2))=="tau+"){
+ m_decayName="Lambda_b0 -> Lambda0 tau- tau+";
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found decay: Lambda_b0 -> Lambda0 tau- tau+" << std::endl;
+ }else{
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll generator expected lepton pair daughters but found: " << EvtPDL::name(getDaug(1)) << " " << EvtPDL::name(getDaug(2)) << std::endl;
+ ::abort();
+ }
+ //TODO: The model is known not to work correctly for anti-Lambda_b0 (A_FB does not change its sign)
+ }else if(EvtPDL::name(getParentId())=="anti-Lambda_b0"){ // Check daughters of anti-Lambda_b0
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found anti-Lambda_b0" << std::endl;
+ //if(EvtPDL::name(getDaug(0))!="anti-Lambda0"){
+ // report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll generator expected anti-Lambda0 daughter but found: " << EvtPDL::name(getDaug(0)) << std::endl;
+ // ::abort();
+ //}
+ if(EvtPDL::name(getDaug(1))=="e+" && EvtPDL::name(getDaug(2))=="e-"){
+ m_decayName="anti-Lambda_b0 -> anti-Lambda0 e+ e-";
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found decay: anti-Lambda_b0 -> anti-Lambda0 e+ e-" << std::endl;
+ }else if(EvtPDL::name(getDaug(1))=="mu+" && EvtPDL::name(getDaug(2))=="mu-"){
+ m_decayName="anti-Lambda_b0 -> anti-Lambda0 mu+ mu-";
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found decay: anti-Lambda_b0 -> anti-Lambda0 mu+ mu-" << std::endl;
+ }else if(EvtPDL::name(getDaug(1))=="tau-" && EvtPDL::name(getDaug(2))=="tau+"){
+ m_decayName="anti-Lambda_b0 -> anti-Lambda0 tau+ tau-";
+ report(INFO,"EvtGen") << " EvtLb2Lll generator found decay: anti-Lambda_b0 -> anti-Lambda0 tau+ tau-" << std::endl;
+ }else{
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll generator expected lepton pair daughters but found: " << EvtPDL::name(getDaug(1)) << " " << EvtPDL::name(getDaug(2)) << std::endl;
+ ::abort();
+ }
+ }else{ // This model is not intended for decay of anything else than (anti-)Lambda_b0
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll generator expected (anti-)Lambda_b0 parent but found: " << EvtPDL::name(getParentId()) << std::endl;
+ ::abort();
+ }
+
+ // Read and check all parameters
+ if(getNArg()>0){
+ if(getArg(0)>1. || getArg(0)<-1.){
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll expects polarization to be in interval <-1,1>, not " << getArg(0) << std::endl;
+ ::abort();
+ }
+ m_polarizationLambdab0 = getArg(0);
+ }else{
+ m_polarizationLambdab0 = 0;
+ }
+ report(INFO,"EvtGen") << " EvtLb2Lll set Lambda_b0 polarization to " << m_polarizationLambdab0 << std::endl;
+
+ if(getNArg()>1){
+ if(getArgStr(1).substr(1,getArgStr(1).size()-2)!="SM" &&
+ getArgStr(1).substr(1,getArgStr(1).size()-2)!="-C7_SM" &&
+ getArgStr(1).substr(1,getArgStr(1).size()-2)!="SUSY-ChenGeng"){
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll doesn't know this physics model: " << getArgStr(1) << std::endl;
+ ::abort();
+ }
+ m_HEPmodel = getArgStr(1).substr(1,getArgStr(1).size()-2);
+ }else{
+ m_HEPmodel = "SM";
+ }
+ report(INFO,"EvtGen") << " EvtLb2Lll will use this physics model: " << m_HEPmodel << std::endl;
+
+ if(getNArg()>2){
+ if(getArgStr(2).substr(1,getArgStr(2).size()-2)!="HQET" &&
+ getArgStr(2).substr(1,getArgStr(2).size()-2)!="HQET-noF2" &&
+ getArgStr(2).substr(1,11) !="HQET-delta="){
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll doesn't know this Form-Factors model: " << getArgStr(2) << std::endl;
+ ::abort();
+ }
+ m_FFtype = getArgStr(2).substr(1,getArgStr(2).size()-2);
+ }else{
+ m_FFtype = "HQET";
+ }
+ report(INFO,"EvtGen") << " EvtLb2Lll will use this Form-Factors model: " << m_FFtype << std::endl;
+
+ if(getNArg()>3){
+ if(getArgStr(3).substr(1,getArgStr(3).size()-2)!="Unpolarized"){
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll doesn't know kind of introducing polarization: " << getArgStr(3) << std::endl;
+ ::abort();
+ }
+ m_polarizationIntroduction = getArgStr(3).substr(1,getArgStr(3).size()-2);
+ }else{
+ m_polarizationIntroduction = "Unpolarized";
+ }
+ report(INFO,"EvtGen") << " EvtLb2Lll will use this kind of introducing polarization: " << m_polarizationIntroduction << std::endl;
+
+ if(getNArg()>4){
+ if(getArgStr(4).substr(1,getArgStr(4).size()-2)!="SD" && getArgStr(4).substr(1,getArgStr(4).size()-2)!="LD"){
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll didn't find SD or LD parameter: " << getArgStr(4) << std::endl;
+ ::abort();
+ }
+ m_effectContribution = getArgStr(5).substr(1,getArgStr(4).size()-2);
+ }else{
+ m_effectContribution = "SD";
+ }
+ report(INFO,"EvtGen") << " EvtLb2Lll will include contribution from these effects: " << m_effectContribution << std::endl;
+
+ if(getNArg()>5){
+ if(fabs(getArg(5))>0.15){
+ report(WARNING,"EvtGen") << " WARNING: EvtLb2Lll found very high contribution to b->sg decay at q2=0: " << getArg(5) << std::endl;
+ }
+ m_omega = getArg(5);
+ }else{
+ m_omega = 0;
+ }
+ report(INFO,"EvtGen") << " EvtLb2Lll will use this contribution to b->sg decay at q2=0: " << m_omega << std::endl;
+
+ if(getNArg()>6) m_noTries = (long)(getArg(6));
+ else m_noTries = 0;
+
+ if(getNArg()>7){
+ if(getArg(7)<0.){
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll expects positive maximum probability not : " << getArg(7) << std::endl;
+ ::abort();
+ }
+ m_maxProbability = getArg(7);
+ }else{
+ m_maxProbability = 0.;
+ }
+ report(INFO,"EvtGen") << " EvtLb2Lll maximum probability was set to " << m_maxProbability << std::endl;
+ m_poleSize=0;
+
+ // Initialize Wilson coeficients by Buras and Munz
+ // TODO: should have common W.C. source for all decays in EvtGen
+ m_WC.CalculateAllCoeficients();
+
+}
+
+void EvtLb2Lll::initProbMax(){
+
+ report(INFO,"EvtGen") << " EvtLb2Lll is finding maximum probability ... " << std::endl;
+
+ if(m_maxProbability==0){
+
+ EvtDiracParticle *parent = new EvtDiracParticle;
+ parent->noLifeTime();
+ parent->init(getParentId(),EvtVector4R(EvtPDL::getMass(getParentId()),0,0,0));
+ parent->setDiagonalSpinDensity();
+
+ EvtAmp amp;
+ EvtId daughters[3] = {getDaug(0),getDaug(1),getDaug(2)};
+ amp.init(getParentId(),3,daughters);
+ parent->makeDaughters(3,daughters);
+ EvtParticle *lambda = parent->getDaug(0);
+ EvtParticle *lep1 = parent->getDaug(1);
+ EvtParticle *lep2 = parent->getDaug(2);
+ lambda -> noLifeTime();
+ lep1 -> noLifeTime();
+ lep2 -> noLifeTime();
+
+ EvtSpinDensity rho;
+ rho.setDiag(parent->getSpinStates());
+
+ double M0 = EvtPDL::getMass(getParentId());
+ double mL = EvtPDL::getMass(getDaug(0));
+ double m1 = EvtPDL::getMass(getDaug(1));
+ double m2 = EvtPDL::getMass(getDaug(2));
+
+ double q2,pstar,elambda,theta;
+ double q2min = (m1+m2)*(m1+m2);
+ double q2max = (M0-mL)*(M0-mL);
+
+ EvtVector4R p4lambda,p4lep1,p4lep2,boost;
+
+ report(INFO,"EvtGen") << " EvtLb2Lll is probing whole phase space ..." << std::endl;
+
+ int i,j;
+ double prob=0;
+ for(i=0;i<=100;i++){
+ q2 = q2min+i*(q2max-q2min)/100.;
+ elambda = (M0*M0+mL*mL-q2)/2/M0;
+ if(i==0) pstar = 0;
+ else pstar = sqrt(q2-(m1+m2)*(m1+m2))*sqrt(q2-(m1-m2)*(m1-m2))/2/sqrt(q2);
+ boost.set(M0-elambda,0,0,+sqrt(elambda*elambda-mL*mL));
+ p4lambda.set(elambda,0,0,-sqrt(elambda*elambda-mL*mL));
+ for(j=0;j<=45;j++){
+ theta = j*EvtConst::pi/45;
+ p4lep1.set(sqrt(pstar*pstar+m1*m1),0,+pstar*sin(theta),+pstar*cos(theta));
+ p4lep2.set(sqrt(pstar*pstar+m2*m2),0,-pstar*sin(theta),-pstar*cos(theta));
+ //std::cout << "p1: " << p4lep1 << " p2: " << p4lep2 << " pstar: " << pstar << std::endl;
+ p4lep1 = boostTo(p4lep1,boost);
+ p4lep2 = boostTo(p4lep1,boost);
+ lambda -> init(getDaug(0),p4lambda);
+ lep1 -> init(getDaug(1),p4lep1 );
+ lep2 -> init(getDaug(2),p4lep2 );
+ calcAmp(&,parent);
+ prob = rho.normalizedProb(amp.getSpinDensity());
+ //std::cout << "q2: " << q2 << " \t theta: " << theta << " \t prob: " << prob << std::endl;
+ //std::cout << "p1: " << p4lep1 << " p2: " << p4lep2 << " q2-q2min: " << q2-(m1+m2)*(m1+m2) << std::endl;
+ if(prob>m_maxProbability){
+ report(INFO,"EvtGen") << " - probability " << prob << " found at q2 = " << q2 << " (" << 100*(q2-q2min)/(q2max-q2min) << " %) and theta = " << theta*180/EvtConst::pi << std::endl;
+ m_maxProbability=prob;
+ }
+ }
+ //::abort();
+ }
+
+ //m_poleSize = 0.04*q2min;
+ m_maxProbability *= 1.2;
+ delete parent;
+ }
+
+ setProbMax(m_maxProbability);
+ report(INFO,"EvtGen") << " EvtLb2Lll set up maximum probability to " << m_maxProbability << std::endl;
+
+}
+
+void EvtLb2Lll::decay(EvtParticle* parent){
+
+ //setWeight(parent->initializePhaseSpace(getNDaug(),getDaugs(),m_poleSize,1,2));
+ parent->initializePhaseSpace(getNDaug(),getDaugs());
+ calcAmp(&_amp2,parent);
+
+}
+
+void EvtLb2Lll::calcAmp(EvtAmp *amp,EvtParticle *parent){
+
+ static long noTries=0;
+ static double delta=0;
+
+ EvtComplex Matrix[2][2][2][2];
+
+ EvtComplex i1(0,1);
+
+ int i,j,spins[4];
+ char ch;
+
+ double r,M_L,M_Lb,M_s,M_c,M_b,q2,alpha,alpha_s,eta,M_W,M_t;
+ double M_psi[2]={0,0},Gamma_psi[2]={0,0},k_psi[2]={0,0};
+ double F0_1,F0_2,a_F1,a_F2,b_F1,b_F2,F1,F2;
+ double f_1,f_2,f_3,g_1,g_2,g_3,f_1T,f_2T,f_3T,g_1T,g_2T,g_3T,f_TV,f_TS,g_TV,g_TS,f_T,g_T;
+ EvtComplex A1,A2,A3,B1,B2,B3,D1,D2,D3,E1,E2,E3,N1,N2,H1,H2;
+ EvtComplex C_SL,C_BR,C_LLtot,C_LRtot,C_LL,C_LR,C_RL,C_RR,C_LRLR,C_RLLR,C_LRRL,C_RLRL,C_T,C_TE;
+ EvtComplex Yld,C_7eff,C_9eff;
+ EvtComplex V_ts,V_tb;
+
+ EvtVector4C lbar_Gmu_l[2][2],lbar_GmuG5_l[2][2],hbar_GmuPlusG5_h[2][2],hbar_GmuMinusG5_h[2][2],hbar_Gmu_h[2][2];
+ EvtComplex lbar_l[2][2],lbar_G5_l[2][2],hbar_1PlusG5_h[2][2],hbar_1MinusG5_h[2][2],hbar_G5_h[2][2],hbar_h[2][2];
+ EvtTensor4C lbar_Smunu_l[2][2],lbar_ESmunu_l[2][2],hbar_SmunuPlusG5_h[2][2],hbar_SmunuMinusG5_h[2][2],hbar_Smunu_h[2][2];
+ EvtVector4R q_mu,P_mu;
+
+ EvtDiracSpinor parent__spParent[2];
+
+ M_Lb = parent->mass();
+ M_L = parent->getDaug(0)->mass();
+ M_s = 0.13;
+ M_c = 1.35;
+ M_b = 4.8;
+ alpha = 1./137.036;
+ alpha_s = 0.217484;
+ eta = 0.556289;
+ M_W = 80.425;
+ M_t = 174.3;
+ M_psi[0] = 3.096916;
+ M_psi[1] = 3.686093;
+ if(m_decayName=="Lambda_b0 -> Lambda0 e- e+" || m_decayName=="anti-Lambda_b0 -> anti-Lambda0 e+ e-"){
+ Gamma_psi[0] = 5.40;
+ Gamma_psi[1] = 2.12;
+ }
+ if(m_decayName=="Lambda_b0 -> Lambda0 mu- mu+" || m_decayName=="anti-Lambda_b0 -> anti-Lambda0 mu+ mu-"){
+ Gamma_psi[0] = 5.35;
+ Gamma_psi[1] = 2.05;
+ }
+ if(m_decayName=="Lambda_b0 -> Lambda0 tau- tau+" || m_decayName=="anti-Lambda_b0 -> anti-Lambda0 tau+ tau-"){
+ Gamma_psi[0] = 0.00;
+ Gamma_psi[1] = 0.79;
+ }
+ if(m_effectContribution=="LD"){
+ k_psi[0] = 1.65;
+ k_psi[1] = 1.65;
+ }
+ //G_F = 1.16637e-5;
+ //V_tb = sqrt(1-pow(0.0413,2))*sqrt(1-pow(0.0037,2));
+ //V_ts = -sqrt(1-pow(0.2243,2))*0.0413-0.2243*sqrt(1-pow(0.0413,2))*0.0037*(cos(60*EvtConst::pi/180)+i1*sin(60*EvtConst::pi/180));
+
+ P_mu = parent->getP4Restframe()+parent->getDaug(0)->getP4();
+ q_mu = parent->getP4Restframe()-parent->getDaug(0)->getP4();
+ q2 = q_mu.mass2();
+
+ if(m_noTries>0) if(!((++noTries)%m_noTries)) report(DEBUG,"EvtGen") << " EvtLb2Lll already finished " << noTries << " matrix element calculations" << std::endl;
+
+ if(m_FFtype=="HQET"){
+ r = M_L*M_L/M_Lb/M_Lb;
+ F0_1 = +0.462;
+ F0_2 = -0.077;
+ a_F1 = -0.0182;
+ a_F2 = -0.0685;
+ b_F1 = -0.000176;
+ b_F2 = +0.001460;
+ F1 = F0_1/(1.0-(q2/M_Lb/M_Lb)*(a_F1-b_F1*(q2/M_Lb/M_Lb)));
+ F2 = F0_2/(1.0-(q2/M_Lb/M_Lb)*(a_F2-b_F2*(q2/M_Lb/M_Lb)));
+ g_1 = f_1 = f_2T = g_2T = F1+sqrt(r)*F2;
+ //std::cout << " F1: " << F1 << " F2: " << F2 << " r: " << r << " M_L: " << M_L << " M_Lb: " << M_Lb << std::endl;
+ //std::cout << " sqrt(q2): " << sqrt(q2) << " q2: " << q2 << " M_Lb^2" << M_Lb*M_Lb << std::endl;
+ g_2 = f_2 = g_3 = f_3 = g_TV = f_TV = F2/M_Lb;
+ g_TS = f_TS = 0;
+ g_1T = f_1T = F2/M_Lb*q2;
+ g_3T = +F2/M_Lb*(M_Lb+M_L);
+ f_3T = -F2/M_Lb*(M_Lb-M_L);
+ f_T = f_2T-f_TS*q2;
+ g_T = g_2T-g_TS*q2;
+ }else if(strstr(m_FFtype.c_str(),"HQET-delta=")==m_FFtype.c_str()){
+ //report(WARNING,"EvtGen") << " WARNING: HQET-delta FF model should be checked for correctness" << std::endl;
+ if(delta==0) sscanf(m_FFtype.c_str(),"%c%c%c%c%c%c%c%c%c%c%c%lf",&ch,&ch,&ch,&ch,&ch,&ch,&ch,&ch,&ch,&ch,&ch,&delta);
+ r = M_L*M_L/M_Lb/M_Lb;
+ F0_1 = +0.462;
+ F0_2 = -0.077;
+ a_F1 = -0.0182;
+ a_F2 = -0.0685;
+ b_F1 = -0.000176;
+ b_F2 = +0.001460;
+ F1 = F0_1/(1.0-(q2/M_Lb/M_Lb)*(a_F1-b_F1*(q2/M_Lb/M_Lb)));
+ F2 = F0_2/(1.0-(q2/M_Lb/M_Lb)*(a_F2-b_F2*(q2/M_Lb/M_Lb)));
+ g_1 = f_1 = f_2T = g_2T = F1+sqrt(r)*F2;
+ g_1 += delta*g_1;
+ f_1 -= delta*f_1;
+ g_2 = f_2 = g_3 = f_3 = g_TV = f_TV = F2/M_Lb;
+ g_TS = f_TS = 0;
+ g_1T = f_1T = F2/M_Lb*q2;
+ g_3T = +F2/M_Lb*(M_Lb+M_L);
+ f_3T = -F2/M_Lb*(M_Lb-M_L);
+ f_T = f_2T-f_TS*q2;
+ g_T = g_2T-g_TS*q2;
+ }else if(m_FFtype=="HQET-noF2"){
+ //report(WARNING,"EvtGen") << " WARNING: HQET-noF2 FF model should be checked for correctness" << std::endl;
+ r = M_L*M_L/M_Lb/M_Lb;
+ F0_1 = +0.462;
+ a_F1 = -0.0182;
+ b_F1 = -0.000176;
+ F1 = F0_1/(1.0-(q2/M_Lb/M_Lb)*(a_F1-b_F1*(q2/M_Lb/M_Lb)));
+ g_1 = f_1 = f_2T = g_2T = F1;
+ g_2 = f_2 = g_3 = f_3 = g_TV = f_TV = 0;
+ g_TS = f_TS = 0;
+ g_1T = f_1T = 0;
+ g_3T = 0;
+ f_3T = 0;
+ f_T = f_2T-f_TS*q2;
+ g_T = g_2T-g_TS*q2;
+ }else{ // general relations for Form-Factors
+ f_1 = f_2 = f_3 = g_1 = g_2 = g_3 = f_3T = g_3T = f_TS = g_TS = f_T = g_T = f_TV = 0;
+ f_2T = f_T+f_TS*q2;
+ f_1T = (f_TV+f_TS*(M_L+M_Lb))*q2;
+ f_1T = -q2/(M_Lb-M_L)*f_3T;
+ g_2T = g_T+g_TS*q2;
+ g_1T = (g_TV-g_TS*(M_L-M_Lb))*q2;
+ g_1T = +q2/(M_Lb+M_L)*g_3T;
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll - unknown Form-Factors model: " << m_FFtype << " - this should never happen !" << std::endl;
+ ::abort();
+ }
+
+ if(m_HEPmodel=="SM"){
+ C_LL=C_LR=C_RL=C_RR=C_LRLR=C_RLLR=C_LRRL=C_RLRL=C_T=C_TE=EvtComplex(0,0);
+ Yld = m_WC.Yld(q2,k_psi,Gamma_psi,M_psi,2,m_WC.GetC1(),m_WC.GetC2(),m_WC.GetC3(),m_WC.GetC4(),m_WC.GetC5(),m_WC.GetC6(),1./alpha);
+ C_7eff = m_WC.GetC7eff0() + m_WC.C7b2sg(m_WC.GetStrongCouplingConst(),m_WC.GetEta(),m_WC.GetC2(),M_t,M_W) + m_omega*(m_WC.hzs(M_c/M_b,q2/M_b/M_b,M_b,M_b) + Yld);
+ C_9eff = Yld + m_WC.C9efftilda(M_c/M_b,q2/M_b/M_b,m_WC.GetStrongCouplingConst(),m_WC.GetC1(),m_WC.GetC2(),m_WC.GetC3(),m_WC.GetC4(),m_WC.GetC5(),m_WC.GetC6(),m_WC.GetC9tilda(),m_WC.GetRenormSchemePar());
+ C_SL = -2*M_s*C_7eff;
+ C_BR = -2*M_b*C_7eff;
+ C_LLtot = C_9eff-m_WC.GetC10tilda()+C_LL;
+ C_LRtot = C_9eff+m_WC.GetC10tilda()+C_LR;
+ //std::cout << "Yld: " << Yld << " C7eff: " << C_7eff << " C_9eff: " << C_9eff << " Diff7: " << C_7eff-m_WC.GetC7eff0() << " Diff9: " << C_9eff-m_WC.GetC9tilda() << std::endl;
+ }else if(m_HEPmodel=="-C7_SM"){
+ C_LL=C_LR=C_RL=C_RR=C_LRLR=C_RLLR=C_LRRL=C_RLRL=C_T=C_TE=EvtComplex(0,0);
+ Yld = m_WC.Yld(q2,k_psi,Gamma_psi,M_psi,2,m_WC.GetC1(),m_WC.GetC2(),m_WC.GetC3(),m_WC.GetC4(),m_WC.GetC5(),m_WC.GetC6(),1./alpha);
+ C_7eff = m_WC.GetC7eff0() + m_WC.C7b2sg(m_WC.GetStrongCouplingConst(),m_WC.GetEta(),m_WC.GetC2(),M_t,M_W) + m_omega*(m_WC.hzs(M_c/M_b,q2/M_b/M_b,M_b,M_b) + Yld);
+ C_9eff = Yld + m_WC.C9efftilda(M_c/M_b,q2/M_b/M_b,m_WC.GetStrongCouplingConst(),m_WC.GetC1(),m_WC.GetC2(),m_WC.GetC3(),m_WC.GetC4(),m_WC.GetC5(),m_WC.GetC6(),m_WC.GetC9tilda(),m_WC.GetRenormSchemePar());
+ C_SL = +2*M_s*C_7eff;
+ C_BR = +2*M_b*C_7eff;
+ C_LLtot = C_9eff-m_WC.GetC10tilda()+C_LL;
+ C_LRtot = C_9eff+m_WC.GetC10tilda()+C_LR;
+ //std::cout << "Yld: " << Yld << " C7eff: " << C_7eff << " C_9eff: " << C_9eff << " Diff7: " << C_7eff-m_WC.GetC7eff0() << " Diff9: " << C_9eff-m_WC.GetC9tilda() << std::endl;
+ }else if(m_HEPmodel=="SUSY-ChenGeng"){
+ //report(WARNING,"EvtGen") << " WARNING: SUSY-ChenGeng model should be checked for correctness" << std::endl;
+ C_LL=C_LR=C_RL=C_RR=C_LRLR=C_RLLR=C_LRRL=C_RLRL=C_T=C_TE=EvtComplex(0,0);
+ EvtComplex d_u23LL = 0.1;
+ EvtComplex d_u33RL = 0.65;
+ EvtComplex d_d23LR = 0.03*exp(i1*EvtConst::pi*2/5);
+ EvtComplex d_u23LR = -0.8*exp(i1*EvtConst::pi/4);
+ EvtComplex C_7susy = -1.75*d_u23LL - 0.25*d_u23LR - 10.3*d_d23LR;
+ EvtComplex C_9susy = 0.82*d_u23LR;
+ EvtComplex C_10susy = -9.37*d_u23LR + 1.4*d_u23LR*d_u33RL + 2.7*d_u23LL;
+ Yld = m_WC.Yld(q2,k_psi,Gamma_psi,M_psi,2,m_WC.GetC1(),m_WC.GetC2(),m_WC.GetC3(),m_WC.GetC4(),m_WC.GetC5(),m_WC.GetC6(),1./alpha);
+ C_7eff = m_WC.GetC7eff0() + C_7susy*pow(m_WC.GetEta(),16./23.) + m_WC.C7b2sg(m_WC.GetStrongCouplingConst(),m_WC.GetEta(),m_WC.GetC2(),M_t,M_W) + m_omega*(m_WC.hzs(M_c/M_b,q2/M_b/M_b,M_b,M_b) + Yld);
+ C_9eff = Yld + m_WC.C9efftilda(M_c/M_b,q2/M_b/M_b,m_WC.GetStrongCouplingConst(),m_WC.GetC1(),m_WC.GetC2(),m_WC.GetC3(),m_WC.GetC4(),m_WC.GetC5(),m_WC.GetC6(),m_WC.GetC9tilda()+C_9susy,m_WC.GetRenormSchemePar());
+ C_SL = -2*M_s*C_7eff;
+ C_BR = -2*M_b*C_7eff;
+ C_LLtot = C_9eff-m_WC.GetC10tilda()-C_10susy+C_LL;
+ C_LRtot = C_9eff+m_WC.GetC10tilda()+C_10susy+C_LR;
+ //std::cout << "Yld: " << Yld << " C7eff: " << C_7eff << " C_9eff: " << C_9eff << " Diff7: " << C_7eff-m_WC.GetC7eff0() << " Diff9: " << C_9eff-m_WC.GetC9tilda() << std::endl;
+ }else{
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll - unknown physics model: " << m_HEPmodel << " - this should never happen !" << std::endl;
+ ::abort();
+ }
+
+ A1 = (f_1T-g_1T)*C_SL/q2 + (f_1T+g_1T)*C_BR/q2 + 0.5*(f_1-g_1)*(C_LLtot+C_LRtot) + 0.5*(f_1+g_1)*(C_RL+C_RR);
+ //std::cout << "f_1T: " << f_1T << " g_1T: " << g_1T << " C_SL: " << C_SL << " C_BR: " << C_BR << " f_1: " << f_1 << " g_1: " << g_1 << " C_LLtot: " << C_LLtot << " C_LRtot: " << C_LRtot << " C_RL: " << C_RL << " C_RR: " << C_RR << std::endl;
+ A2 = (f_2T-g_2T)*C_SL/q2 + (f_2T+g_2T)*C_BR/q2 + 0.5*(f_2-g_2)*(C_LLtot+C_LRtot) + 0.5*(f_2+g_2)*(C_RL+C_RR);
+ A3 = (f_3T-g_3T)*C_SL/q2 + (f_3T+g_3T)*C_BR/q2 + 0.5*(f_3-g_3)*(C_LLtot+C_LRtot) + 0.5*(f_3+g_3)*(C_RL+C_RR);
+
+ B1 = (f_1T+g_1T)*C_SL/q2 + (f_1T-g_1T)*C_BR/q2 + 0.5*(f_1+g_1)*(C_LLtot+C_LRtot) + 0.5*(f_1-g_1)*(C_RL+C_RR);
+ B2 = (f_2T+g_2T)*C_SL/q2 + (f_2T-g_2T)*C_BR/q2 + 0.5*(f_2+g_2)*(C_LLtot+C_LRtot) + 0.5*(f_2-g_2)*(C_RL+C_RR);
+ B3 = (f_3T+g_3T)*C_SL/q2 + (f_3T-g_3T)*C_BR/q2 + 0.5*(f_3+g_3)*(C_LLtot+C_LRtot) + 0.5*(f_3-g_3)*(C_RL+C_RR);
+
+ D1 = 0.5*(C_RR-C_RL)*(f_1+g_1) + 0.5*(C_LRtot-C_LLtot)*(f_1-g_1);
+ D2 = 0.5*(C_RR-C_RL)*(f_2+g_2) + 0.5*(C_LRtot-C_LLtot)*(f_2-g_2);
+ D3 = 0.5*(C_RR-C_RL)*(f_3+g_3) + 0.5*(C_LRtot-C_LLtot)*(f_3-g_3);
+
+ E1 = 0.5*(C_RR-C_RL)*(f_1-g_1) + 0.5*(C_LRtot-C_LLtot)*(f_1+g_1);
+ E2 = 0.5*(C_RR-C_RL)*(f_2-g_2) + 0.5*(C_LRtot-C_LLtot)*(f_2+g_2);
+ E3 = 0.5*(C_RR-C_RL)*(f_3-g_3) + 0.5*(C_LRtot-C_LLtot)*(f_3+g_3);
+
+ N1 = (f_1*(M_Lb+M_L)+f_3*q2)/M_b*(C_LRLR+C_RLLR+C_LRRL+C_RLRL);
+ N2 = (f_1*(M_Lb+M_L)+f_3*q2)/M_b*(C_LRLR+C_RLLR-C_LRRL-C_RLRL);
+
+ H1 = (g_1*(M_Lb+M_L)-g_3*q2)/M_b*(C_LRLR-C_RLLR+C_LRRL-C_RLRL);
+ H2 = (g_1*(M_Lb+M_L)-g_3*q2)/M_b*(C_LRLR-C_RLLR-C_LRRL+C_RLRL);
+
+ for(i=0;i<4;i++){
+ lbar_Gmu_l [i/2][i%2] = EvtLeptonVCurrent(parent->getDaug(1)->spParent(i/2),parent->getDaug(2)->spParent(i%2));
+ lbar_GmuG5_l [i/2][i%2] = EvtLeptonACurrent(parent->getDaug(1)->spParent(i/2),parent->getDaug(2)->spParent(i%2));
+ lbar_l [i/2][i%2] = EvtLeptonSCurrent(parent->getDaug(1)->spParent(i/2),parent->getDaug(2)->spParent(i%2));
+ lbar_G5_l [i/2][i%2] = EvtLeptonPCurrent(parent->getDaug(1)->spParent(i/2),parent->getDaug(2)->spParent(i%2));
+ lbar_Smunu_l [i/2][i%2] = EvtLeptonTCurrent(parent->getDaug(1)->spParent(i/2),parent->getDaug(2)->spParent(i%2));
+ lbar_ESmunu_l[i/2][i%2] = dual(EvtLeptonTCurrent(parent->getDaug(1)->spParent(i/2),parent->getDaug(2)->spParent(i%2)));
+ }
+
+ // TODO: polarization not yet introduced
+ if(m_polarizationIntroduction=="SpinDensityMatrix"){
+ //parent->setSpinDensityForward();
+ parent__spParent[0]=parent->sp(0);
+ parent__spParent[1]=parent->sp(1);
+ }else if(m_polarizationIntroduction=="ModifiedSpinors"){
+ parent__spParent[0]=parent->sp(0);
+ parent__spParent[1]=parent->sp(1);
+ }else if(m_polarizationIntroduction=="Unpolarized"){
+ parent__spParent[0]=parent->sp(0);
+ parent__spParent[1]=parent->sp(1);
+ }else{
+ report(ERROR,"EvtGen") << " ERROR: EvtLb2Lll - unknown polarization: " << m_polarizationIntroduction << " - this should never happen !" << std::endl;
+ ::abort();
+ }
+
+ for(i=0;i<4;i++){
+ hbar_GmuPlusG5_h [i/2][i%2] = EvtLeptonVCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]) + EvtLeptonACurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_GmuMinusG5_h [i/2][i%2] = EvtLeptonVACurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_SmunuPlusG5_h [i/2][i%2] = EvtLeptonTCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]) + EvtLeptonTG5Current(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_SmunuMinusG5_h[i/2][i%2] = EvtLeptonTCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]) - EvtLeptonTG5Current(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_1PlusG5_h [i/2][i%2] = EvtLeptonSCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]) + EvtLeptonPCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_1MinusG5_h [i/2][i%2] = EvtLeptonSCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]) - EvtLeptonPCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_G5_h [i/2][i%2] = EvtLeptonPCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_h [i/2][i%2] = EvtLeptonSCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_Smunu_h [i/2][i%2] = EvtLeptonTCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ hbar_Gmu_h [i/2][i%2] = EvtLeptonVCurrent(parent->getDaug(0)->spParent(i/2),parent__spParent[i%2]);
+ }
+
+ for(i=0;i<4;i++) for(j=0;j<4;j++) {
+ //std::cout << "--------------------------------------------------" << std::endl;
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_Gmu_l[i/2][i%2] * (A1*hbar_GmuPlusG5_h[j/2][j%2]+B1*hbar_GmuMinusG5_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ //std::cout << "A1: " << A1 << " B1: " << B1 << " lbar_Gmu_l: " << lbar_Gmu_l[i/2][i%2] <<
+ // " hbar_GmuPlusG5_h: " << hbar_GmuPlusG5_h[j/2][j%2] << " hbar_GmuMinusG5_h: " << hbar_GmuMinusG5_h[j/2][j%2] <<
+ // " sp1: " << parent->getDaug(1)->spParent(i/2) << " sp2: " << parent->getDaug(1)->spParent(i%2) << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_Gmu_l[i/2][i%2] * (i1*A2*(hbar_SmunuPlusG5_h[j/2][j%2].cont2(q_mu))+B2*(hbar_SmunuMinusG5_h[j/2][j%2].cont2(q_mu)));
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_Gmu_l[i/2][i%2] * ((A3*hbar_1PlusG5_h[j/2][j%2]+B3*hbar_1MinusG5_h[j/2][j%2])*q_mu);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_GmuG5_l[i/2][i%2] * (D1*hbar_GmuPlusG5_h[j/2][j%2]+E1*hbar_GmuMinusG5_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_GmuG5_l[i/2][i%2] * (i1*D2*(hbar_SmunuPlusG5_h[j/2][j%2].cont2(q_mu))+E2*(hbar_SmunuMinusG5_h[j/2][j%2].cont2(q_mu)));
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_GmuG5_l[i/2][i%2] * ((D3*hbar_1PlusG5_h[j/2][j%2]+E3*hbar_1MinusG5_h[j/2][j%2])*q_mu);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_l[i/2][i%2] * (N1*hbar_h[j/2][j%2]+H1*hbar_G5_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += lbar_G5_l[i/2][i%2] * (N2*hbar_h[j/2][j%2]+H2*hbar_G5_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += cont(lbar_Smunu_l[i/2][i%2] , 4*C_T*f_T*hbar_Smunu_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += cont(lbar_Smunu_l[i/2][i%2] , -4*C_T*f_TV*i1*(directProd(q_mu,hbar_Gmu_h[j/2][j%2])-directProd(hbar_Gmu_h[j/2][j%2],q_mu)));
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += cont(lbar_Smunu_l[i/2][i%2] , -4*C_T*f_TS*i1*(directProd(P_mu,q_mu)-directProd(q_mu,P_mu))*hbar_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += cont(lbar_ESmunu_l[i/2][i%2] , 4*C_TE*f_T*i1*hbar_Smunu_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += cont(lbar_ESmunu_l[i/2][i%2] , 4*C_TE*f_TV*(directProd(q_mu,hbar_Gmu_h[j/2][j%2])-directProd(hbar_Gmu_h[j/2][j%2],q_mu)));
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ Matrix[j/2][j%2][i/2][i%2] += cont(lbar_ESmunu_l[i/2][i%2] , 4*C_TE*f_TS*(directProd(P_mu,q_mu)-directProd(q_mu,P_mu))*hbar_h[j/2][j%2]);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ //Matrix[j/2][j%2][i/2][i%2] *= G_F*alpha/4/sqrt(2)/EvtConst::pi*V_tb*conj(V_ts);
+ //std::cout << "Matrix = " << Matrix[j/2][j%2][i/2][i%2] << std::endl;
+ //std::cout << "--------------------------------------------------" << std::endl;
+ spins[0]=j%2;
+ spins[1]=j/2;
+ spins[2]=i/2;
+ spins[3]=i%2;
+ amp->vertex(spins,Matrix[j/2][j%2][i/2][i%2]);
+ }
+
+ //std::cout << "==================================================" << std::endl;
+ //std::cout << "Lambda_b0: " << parent->getP4Restframe() << std::endl;
+ //std::cout << "Lambda0: " << parent->getDaug(0)->getP4() << std::endl;
+ //std::cout << "mu-: " << parent->getDaug(1)->getP4() << std::endl;
+ //std::cout << "mu+: " << parent->getDaug(2)->getP4() << std::endl;
+ //std::cout << "P_mu: " << P_mu << std::endl;
+ //std::cout << "q_mu: " << q_mu << std::endl;
+ //std::cout << "q2: " << q2 << std::endl;
+ //std::cout << "==================================================" << std::endl;
+
+ return;
+}
+
+EvtTensor4C EvtLb2Lll::EvtLeptonTG5Current(const EvtDiracSpinor &d,const EvtDiracSpinor &dp){
+// <u|sigma^munu*gamma^5|v>
+
+ EvtTensor4C temp;
+ temp.zero();
+ EvtComplex i2(0,0.5);
+
+ static EvtGammaMatrix mat01=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g0()*EvtGammaMatrix::g1()-
+ EvtGammaMatrix::g1()*EvtGammaMatrix::g0())*EvtGammaMatrix::g5();
+ static EvtGammaMatrix mat02=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g0()*EvtGammaMatrix::g2()-
+ EvtGammaMatrix::g2()*EvtGammaMatrix::g0())*EvtGammaMatrix::g5();
+ static EvtGammaMatrix mat03=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g0()*EvtGammaMatrix::g3()-
+ EvtGammaMatrix::g3()*EvtGammaMatrix::g0())*EvtGammaMatrix::g5();
+ static EvtGammaMatrix mat12=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g1()*EvtGammaMatrix::g2()-
+ EvtGammaMatrix::g2()*EvtGammaMatrix::g1())*EvtGammaMatrix::g5();
+ static EvtGammaMatrix mat13=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g1()*EvtGammaMatrix::g3()-
+ EvtGammaMatrix::g3()*EvtGammaMatrix::g1())*EvtGammaMatrix::g5();
+ static EvtGammaMatrix mat23=EvtGammaMatrix::g0()*
+ (EvtGammaMatrix::g2()*EvtGammaMatrix::g3()-
+ EvtGammaMatrix::g3()*EvtGammaMatrix::g2())*EvtGammaMatrix::g5();
+
+ temp.set(0,1,i2*(d*(mat01*dp)));
+ temp.set(1,0,-temp.get(0,1));
+
+ temp.set(0,2,i2*(d*(mat02*dp)));
+ temp.set(2,0,-temp.get(0,2));
+
+ temp.set(0,3,i2*(d*(mat03*dp)));
+ temp.set(3,0,-temp.get(0,3));
+
+ temp.set(1,2,i2*(d*(mat12*dp)));
+ temp.set(2,1,-temp.get(1,2));
+
+ temp.set(1,3,i2*(d*(mat13*dp)));
+ temp.set(3,1,-temp.get(1,3));
+
+ temp.set(2,3,i2*(d*(mat23*dp)));
+ temp.set(3,2,-temp.get(2,3));
+
+ return temp;
+}
--- /dev/null
+//----------------------------------------------------------------------------------
+//
+// Module: EvtLb2Lll.hh
+//
+// Desription: Routine to implement Lambda_b0 -> Lambda_0 l+ l- decays accroding to
+// several models: Chen. Geng.
+// Aliev. Ozpineci. Savci.
+//
+// Modification history:
+//
+// 15/09/2004 PR Module created according to PHSP model
+// 20/02/2005 PR Added parameters, created matrix element (without polarization)
+// 04/03/2005 PR LD contrib., corrected WC eff. according to Chen. Geng.
+//
+//----------------------------------------------------------------------------------
+
+#ifndef EVTLB2LLL_HH
+#define EVTLB2LLL_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenModels/EvtWilsonCoeficients.hh"
+
+class EvtLb2Lll:public EvtDecayAmp {
+
+public:
+
+ EvtLb2Lll() {}
+ virtual ~EvtLb2Lll();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+ void calcAmp(EvtAmp *amp,EvtParticle *parent);
+
+ EvtTensor4C EvtLeptonTG5Current(const EvtDiracSpinor &d,const EvtDiracSpinor &dp);
+
+private:
+
+ double m_polarizationLambdab0;
+ double m_maxProbability;
+ double m_poleSize;
+ long m_noTries;
+ double m_omega;
+
+ std::string m_decayName;
+ std::string m_polarizationIntroduction;
+ std::string m_HEPmodel;
+ std::string m_FFtype;
+ std::string m_effectContribution;
+
+ EvtWilsonCoeficients m_WC;
+
+};
+
+#endif
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtLi2Spence.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+C -----------------------------------------------------------------
+ DOUBLE PRECISION FUNCTION LI2SPENCE(X)
+C *************************************************************
+C REAL SPENCE FUNCTION OBTAINED FROM J. VAN DER BIJ
+C *************************************************************
+ IMPLICIT REAL*8 (A-Z)
+ COMPLEX*16 Y,Z,Z2,SP
+ REAL*8 XR,XI,R2
+ REAL*8 A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,ZETA2
+ DATA A1,A2,A3,A4,A5,A6,A7,A8,A9,A10,ZETA2/
+ 1 -0.250000000000000D0,
+ 2 -0.111111111111111D0,
+ 3 -0.010000000000000D0,
+ 4 -0.017006802721088D0,
+ 5 -0.019444444444444D0,
+ 6 -0.020661157024793D0,
+ 7 -0.021417300648069D0,
+ 8 -0.021948866377231D0,
+ 9 -0.022349233811171D0,
+ 1 -0.022663689135191D0,
+ 2 1.644934066848226D0/
+
+ LI2SPENCE=0
+ XR=X
+ XI=0.0D0
+ R2=XR*XR+XI*XI
+ IF(R2.GT.1.D0.AND.(XR/R2).GT.0.5D0)THEN
+ Y=(X-1.D0)/X
+ Z=-LOG(1.D0-Y)
+ Z2=Z*Z
+ SP=Z*(1.D0+A1*Z*(1.D0+A2*Z*(1.D0+A3*Z2*(1.D0+A4*Z2*
+ 1 (1.D0+A5*Z2*(1.D0+A6*Z2*(1.D0+A7*Z2*(1.D0+A8*Z2*(1.D0+A9*Z2*
+ 2 (1.D0+A10*Z2))))))))))
+ 3 +ZETA2-LOG(X)*LOG(1.D0-X)+0.5D0*LOG(X)**2
+ LI=DREAL(SP)
+ RETURN
+ ELSEIF(R2.GT.1.D0.AND.(XR/R2).LE.0.5D0)THEN
+ Y=1.D0/X
+ Z=-LOG(1.D0-Y)
+ Z2=Z*Z
+ SP=-Z*(1.D0+A1*Z*(1.D0+A2*Z*(1.D0+A3*Z2*(1.D0+A4*Z2*
+ 1 (1.D0+A5*Z2*(1.D0+A6*Z2*(1.D0+A7*Z2*(1.D0+A8*Z2*(1.D0+A9*Z2*
+ 2 (1.D0+A10*Z2))))))))))
+ 3 -ZETA2-0.5D0*LOG(-X)**2
+ LI=DREAL(SP)
+ RETURN
+ ELSEIF(R2.EQ.1.D0.AND.XI.EQ.0.D0)THEN
+ SP=ZETA2
+ LI=DREAL(SP)
+ RETURN
+ ELSEIF(R2.LE.1.D0.AND.XR.GT.0.5D0)THEN
+ Y=1.D0-X
+ Z=-LOG(1.D0-Y)
+ Z2=Z*Z
+ SP=-Z*(1.D0+A1*Z*(1.D0+A2*Z*(1.D0+A3*Z2*(1.D0+A4*Z2*
+ 1 (1.D0+A5*Z2*(1.D0+A6*Z2*(1.D0+A7*Z2*(1.D0+A8*Z2*(1.D0+A9*Z2*
+ 2 (1.D0+A10*Z2))))))))))
+ 3 +ZETA2-LOG(X)*LOG(1.D0-X)
+ LI=DREAL(SP)
+ RETURN
+ ELSEIF(R2.LE.1.D0.AND.XR.LE.0.5D0)THEN
+ Y=X
+ Z=-LOG(1.D0-Y)
+ Z2=Z*Z
+ SP=Z*(1.D0+A1*Z*(1.D0+A2*Z*(1.D0+A3*Z2*(1.D0+A4*Z2*
+ 1 (1.D0+A5*Z2*(1.D0+A6*Z2*(1.D0+A7*Z2*(1.D0+A8*Z2*(1.D0+A9*Z2*
+ 2 (1.D0+A10*Z2))))))))))
+ LI2SPENCE=DREAL(SP)
+ RETURN
+ ENDIF
+ END
+C ----------------------------------------------------------------------
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtMelikhov.cc
+//
+// Description: Routine to implement semileptonic B->D*lnu decays according
+// to the model HQET
+//
+// Modification history:
+//
+// DJL April 20, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtMelikhov.hh"
+#include "EvtGenModels/EvtMelikhovFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include <string>
+
+EvtMelikhov::~EvtMelikhov() {}
+
+std::string EvtMelikhov::getName(){
+
+ return "MELIKHOV";
+}
+
+
+EvtDecayBase* EvtMelikhov::clone(){
+
+ return new EvtMelikhov;
+
+}
+
+void EvtMelikhov::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ calcamp->CalcAmp(p,_amp2,Melikhovffmodel);
+}
+
+
+void EvtMelikhov::init(){
+
+ checkNArg(1);
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+
+ Melikhovffmodel = new EvtMelikhovFF(getArg(0));
+ calcamp = new EvtSemiLeptonicVectorAmp;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtMelikhov.hh
+//
+// Description:Implementation of the Melikhov semileptonic model
+//
+// Modification history:
+//
+// DJL April 20, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTMELIKHOV_HH
+#define EVTMELIKHOV_HH
+
+#include <fstream>
+#include <stdio.h>
+
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class EvtParticle;
+
+class EvtMelikhov:public EvtDecayAmp {
+
+public:
+
+ EvtMelikhov() {}
+ virtual ~EvtMelikhov();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+
+private:
+ EvtSemiLeptonicFF *Melikhovffmodel;
+ EvtSemiLeptonicAmp *calcamp;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtMelikhovFF.cc
+//
+// Description: form factors for B->D*lnu according to HQET
+//
+// Modification history:
+//
+// DJL April 17, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtMelikhovFF.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include <math.h>
+#include "EvtGenBase/EvtPDL.hh"
+#include <stdlib.h>
+
+EvtMelikhovFF::EvtMelikhovFF(double arg1) {
+
+ whichfit = int(arg1+0.1);
+ return;
+}
+
+void EvtMelikhovFF::getvectorff(EvtId parent,EvtId,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+
+ double ma1(0.0),ra1(0.0),na1(0.0);
+ double ma2(0.0),ra2(0.0),na2(0.0);
+ double mv(0.0),rv(0.0),nv(0.0);
+
+ if ( whichfit==1) {
+ ma1 = 7.07;
+ ra1 = 0.27;
+ na1 = 2.65;
+ ma2 = 6.13;
+ ra2 = 0.25;
+ na2 = 2.17;
+ mv = 6.28;
+ rv = 0.30;
+ nv = 2.36;
+ }
+ if ( whichfit==2) {
+ ma1 = 6.78;
+ ra1 = 0.20;
+ na1 = 2.65;
+ ma2 = 6.00;
+ ra2 = 0.19;
+ na2 = 2.34;
+ mv = 6.22;
+ rv = 0.20;
+ nv = 2.46;
+ }
+ if ( whichfit==3) {
+ ma1 = 6.50;
+ ra1 = 0.21;
+ na1 = 2.70;
+ ma2 = 5.90;
+ ra2 = 0.20;
+ na2 = 2.45;
+ mv = 5.90;
+ rv = 0.21;
+ nv = 2.35;
+ }
+ if ( whichfit==4) {
+ ma1 = 5.68;
+ ra1 = 0.29;
+ na1 = 1.67;
+ ma2 = 5.36;
+ ra2 = 0.28;
+ na2 = 1.67;
+ mv = 5.46;
+ rv = 0.29;
+ nv = 1.73;
+ }
+
+ double mb=EvtPDL::getMeanMass(parent);
+ //double w = ((mb*mb)+(mass*mass)-t)/(2.0*mb*mass);
+
+ double melr = mass/mb;
+ double mely = t/(mb*mb);
+
+
+ *a1f = ((1.0+melr*melr-mely)/(1+melr))*ra1/pow(1.0-(t/(ma1*ma1)),na1);
+ *a2f = (1+melr)*((1.0-melr*melr-mely)/((1+melr)*(1+melr)-mely))
+ *ra2/pow(1.0-(t/(ma2*ma2)),na2);
+ *vf = (1+melr)*rv/pow(1.0-(t/(mv*mv)),nv);
+ *a0f = 0.0;
+
+ return;
+ }
+
+
+void EvtMelikhovFF::getscalarff(EvtId, EvtId, double, double, double*,
+ double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getvectorff in EvtMelikhovFF.\n";
+ ::abort();
+
+}
+
+
+
+void EvtMelikhovFF::gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :gettensorff in EvtMelikhovFF.\n";
+ ::abort();
+
+}
+
+
+
+void EvtMelikhovFF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtMelikhovFF.\n";
+ ::abort();
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtMelikhovFF.hh
+//
+// Description: Form factors for EvtMelikhov model
+//
+// Modification history:
+//
+// DJL April 20, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTMELIKHOVFF_HH
+#define EVTMELIKHOVFF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+
+class EvtId;
+
+class EvtMelikhovFF : public EvtSemiLeptonicFF {
+
+public:
+ EvtMelikhovFF(double par1);
+ void getvectorff( EvtId parent, EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+
+ void getscalarff(EvtId, EvtId, double, double, double*,
+ double*);
+
+ void gettensorff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+
+private:
+ int whichfit;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtModel.cc
+//
+// Description:
+//
+// Modification history:
+//
+// RYD September 25, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <ctype.h>
+#include <stdlib.h>
+#include <assert.h>
+#include "EvtGenBase/EvtModel.hh"
+
+#include "EvtGenModels/EvtTauVectornu.hh"
+#include "EvtGenModels/EvtVVP.hh"
+#include "EvtGenModels/EvtSLN.hh"
+#include "EvtGenModels/EvtISGW2.hh"
+#include "EvtGenModels/EvtMelikhov.hh"
+#include "EvtGenModels/EvtSLPole.hh"
+#include "EvtGenModels/EvtPropSLPole.hh"
+#include "EvtGenModels/EvtSLBKPole.hh"
+#include "EvtGenModels/EvtISGW.hh"
+#include "EvtGenModels/EvtBHadronic.hh"
+#include "EvtGenModels/EvtVSS.hh"
+#include "EvtGenModels/EvtVSSMix.hh"
+#include "EvtGenModels/EvtVSSBMixCPT.hh"
+#include "EvtGenModels/EvtVSPPwave.hh"
+#include "EvtGenModels/EvtGoityRoberts.hh"
+#include "EvtGenModels/EvtSVS.hh"
+#include "EvtGenModels/EvtTSS.hh"
+#include "EvtGenModels/EvtTVSPwave.hh"
+#include "EvtGenModels/EvtSVVHelAmp.hh"
+#include "EvtGenModels/EvtSVPHelAmp.hh"
+#include "EvtGenModels/EvtSVPCP.hh"
+#include "EvtGenModels/EvtVVSPwave.hh"
+#include "EvtGenModels/EvtDDalitz.hh"
+#include "EvtGenModels/EvtOmegaDalitz.hh"
+#include "EvtGenModels/EvtPi0Dalitz.hh"
+#include "EvtGenModels/EvtEtaDalitz.hh"
+#include "EvtGenModels/EvtPhsp.hh"
+#include "EvtGenModels/EvtBtoXsgamma.hh"
+#include "EvtGenModels/EvtBtoXsll.hh"
+#include "EvtGenModels/EvtBtoXsEtap.hh"
+#include "EvtGenModels/EvtSSSCP.hh"
+#include "EvtGenModels/EvtSSSCPpng.hh"
+#include "EvtGenModels/EvtSTSCP.hh"
+#include "EvtGenModels/EvtSTS.hh"
+#include "EvtGenModels/EvtSSSCPT.hh"
+#include "EvtGenModels/EvtSVSCP.hh"
+#include "EvtGenModels/EvtSSDCP.hh"
+#include "EvtGenModels/EvtSVSNONCPEIGEN.hh"
+#include "EvtGenModels/EvtSVVNONCPEIGEN.hh"
+#include "EvtGenModels/EvtSVVCP.hh"
+#include "EvtGenModels/EvtSVVCPLH.hh"
+#include "EvtGenModels/EvtSVSCPLH.hh"
+#include "EvtGenModels/EvtSll.hh"
+#include "EvtGenModels/EvtVll.hh"
+#include "EvtGenModels/EvtTaulnunu.hh"
+#include "EvtGenModels/EvtTauHadnu.hh"
+#include "EvtGenModels/EvtTauScalarnu.hh"
+#include "EvtGenModels/EvtKstarnunu.hh"
+#include "EvtGenModels/EvtbTosllBall.hh"
+#include "EvtGenModels/EvtSingleParticle.hh"
+#include "EvtGenModels/EvtVectorIsr.hh"
+#include "EvtGenModels/EvtBToPlnuBK.hh"
+#include "EvtGenModels/EvtBToVlnuBall.hh"
+
+#include "EvtGenModels/EvtSVVHelCPMix.hh"
+#include "EvtGenModels/EvtLb2Lll.hh"
+#include "EvtGenModels/EvtHypNonLepton.hh"
+
+#include "EvtGenModels/EvtbTosllAli.hh"
+//#include "EvtGenModels/EvtBToDDalitzCPK.hh"
+//#include "EvtGenModels/EvtPVVCPLH.hh"
+//#include "EvtGenModels/EvtLambdaB2LambdaV.hh"
+//#include "EvtGenModels/EvtSSD_DirectCP.hh"
+
+#include "EvtGenModels/EvtHQET.hh"
+#include "EvtGenModels/EvtHQET2.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtHelAmp.hh"
+#include "EvtGenModels/EvtPartWave.hh"
+
+#include "EvtGenModels/EvtBto2piCPiso.hh"
+#include "EvtGenModels/EvtBtoKpiCPiso.hh"
+#include "EvtGenModels/EvtSVSCPiso.hh"
+#include "EvtGenModels/EvtVVpipi.hh"
+#include "EvtGenModels/EvtY3SToY1SpipiMoxhay.hh"
+#include "EvtGenModels/EvtYmSToYnSpipiCLEO.hh"
+#include "EvtGenModels/EvtVVPIPI_WEIGHTED.hh"
+#include "EvtGenModels/EvtVPHOtoVISRHi.hh"
+
+#include "EvtGenModels/EvtBTo4piCP.hh"
+#include "EvtGenModels/EvtBTo3piCP.hh"
+#include "EvtGenModels/EvtCBTo3piP00.hh"
+#include "EvtGenModels/EvtCBTo3piMPP.hh"
+#include "EvtGenModels/EvtBToKpipiCP.hh"
+#include "EvtGenModels/EvtBsquark.hh"
+#include "EvtGenModels/EvtPhiDalitz.hh"
+
+#include "EvtGenModels/EvtLNuGamma.hh"
+
+#include "EvtGenModels/EvtVub.hh"
+//#include "EvtGenModels/EvtVubAFR.hh"
+#include "EvtGenModels/EvtVubHybrid.hh"
+#include "EvtGenModels/EvtVubNLO.hh"
+#include "EvtGenModels/EvtVubBLNP.hh"
+#include "EvtGenModels/EvtVubBLNPHybrid.hh"
+
+#include "EvtGenModels/EvtPto3P.hh"
+#include "EvtGenModels/EvtBtoKD3P.hh"
+#include "EvtGenModels/EvtKstarstargamma.hh"
+#include "EvtGenModels/EvtFlatQ2.hh"
+#include "EvtGenModels/EvtLambdaP_BarGamma.hh"
+#include "EvtGenModels/EvtBBScalar.hh"
+#include "EvtGenModels/EvtKKLambdaC.hh"
+#include "EvtGenModels/EvtMultibody.hh"
+
+//#include "EvtGenModels/EvtJetSetCDF.hh"
+//#include "EvtGenModels/EvtJscontCDF.hh"
+
+
+//#ifndef EVTSTANDALONE
+//#include "EvtGenModels/EvtJetSet.hh"
+//#include "EvtGenModels/EvtJscont.hh"
+//#else
+ #include "EvtGenModels/EvtPythia.hh"
+ #include "EvtGenModels/EvtPyGaGa.hh"
+ #include "EvtGenModels/EvtPycont.hh"
+//#endif
+
+#include "EvtGenModels/EvtDMix.hh"
+#include "EvtGenModels/EvtD0mixDalitz.hh"
+
+#include "EvtGenModels/EvtModelReg.hh"
+using std::fstream;
+using std::cout;
+using std::endl;
+
+EvtModelReg::EvtModelReg(const std::list<EvtDecayBase*>* extraModels)
+{
+
+ EvtModel &modelist=EvtModel::instance();
+
+ if(extraModels){
+ for(std::list<EvtDecayBase*>::const_iterator it = extraModels->begin();
+ it != extraModels->end(); ++it){
+ modelist.registerModel(*it);
+ }
+ }
+
+ modelist.registerModel(new EvtBBScalar);
+ modelist.registerModel(new EvtLambdaP_BarGamma);
+ modelist.registerModel(new EvtFlatQ2);
+ modelist.registerModel(new EvtTauHadnu);
+ modelist.registerModel(new EvtTauVectornu);
+ modelist.registerModel(new EvtVVP);
+ modelist.registerModel(new EvtSLN);
+ modelist.registerModel(new EvtISGW2);
+ modelist.registerModel(new EvtMelikhov);
+ modelist.registerModel(new EvtSLPole);
+ modelist.registerModel(new EvtPropSLPole);
+ modelist.registerModel(new EvtSLBKPole);
+ modelist.registerModel(new EvtHQET);
+ modelist.registerModel(new EvtHQET2);
+ modelist.registerModel(new EvtISGW);
+ modelist.registerModel(new EvtBHadronic);
+ modelist.registerModel(new EvtVSS);
+ modelist.registerModel(new EvtVSSMix);
+ modelist.registerModel(new EvtVSSBMixCPT);
+ modelist.registerModel(new EvtVSPPwave);
+ modelist.registerModel(new EvtGoityRoberts);
+ modelist.registerModel(new EvtSVS);
+ modelist.registerModel(new EvtTSS);
+ modelist.registerModel(new EvtTVSPwave);
+ modelist.registerModel(new EvtSVVHelAmp);
+ modelist.registerModel(new EvtSVPHelAmp);
+ modelist.registerModel(new EvtSVPCP);
+ modelist.registerModel(new EvtVVSPwave);
+ modelist.registerModel(new EvtDDalitz);
+ modelist.registerModel(new EvtOmegaDalitz);
+ modelist.registerModel(new EvtEtaDalitz);
+ modelist.registerModel(new EvtPhsp);
+ modelist.registerModel(new EvtBtoXsgamma);
+ modelist.registerModel(new EvtBtoXsll);
+ modelist.registerModel(new EvtBtoXsEtap);
+ modelist.registerModel(new EvtSSSCP);
+ modelist.registerModel(new EvtSSSCPpng);
+ modelist.registerModel(new EvtSTSCP);
+ modelist.registerModel(new EvtSTS);
+ modelist.registerModel(new EvtSSSCPT);
+ modelist.registerModel(new EvtSVSCP);
+ modelist.registerModel(new EvtSSDCP);
+ modelist.registerModel(new EvtSVSNONCPEIGEN);
+ modelist.registerModel(new EvtSVVNONCPEIGEN);
+ modelist.registerModel(new EvtSVVCP);
+ modelist.registerModel(new EvtSVVCPLH);
+ modelist.registerModel(new EvtSVSCPLH);
+ modelist.registerModel(new EvtSll);
+ modelist.registerModel(new EvtVll);
+ modelist.registerModel(new EvtTaulnunu);
+ modelist.registerModel(new EvtTauScalarnu);
+ modelist.registerModel(new EvtKstarnunu);
+ modelist.registerModel(new EvtbTosllBall);
+ modelist.registerModel(new EvtBto2piCPiso);
+ modelist.registerModel(new EvtBtoKpiCPiso);
+ modelist.registerModel(new EvtSVSCPiso);
+ modelist.registerModel(new EvtSingleParticle);
+ modelist.registerModel(new EvtVectorIsr);
+ modelist.registerModel(new EvtPi0Dalitz);
+ modelist.registerModel(new EvtHelAmp);
+ modelist.registerModel(new EvtPartWave);
+ modelist.registerModel(new EvtVVpipi);
+ modelist.registerModel(new EvtY3SToY1SpipiMoxhay);
+ modelist.registerModel(new EvtYmSToYnSpipiCLEO);
+ modelist.registerModel(new EvtBsquark);
+ modelist.registerModel(new EvtPhiDalitz);
+ modelist.registerModel(new EvtBToPlnuBK);
+ modelist.registerModel(new EvtBToVlnuBall);
+ modelist.registerModel(new EvtVVPIPI_WEIGHTED);
+ modelist.registerModel(new EvtVPHOtoVISRHi);
+
+ modelist.registerModel(new EvtBTo4piCP);
+ modelist.registerModel(new EvtBTo3piCP);
+ modelist.registerModel(new EvtCBTo3piP00);
+ modelist.registerModel(new EvtCBTo3piMPP);
+ modelist.registerModel(new EvtBToKpipiCP);
+
+ modelist.registerModel(new EvtLb2Lll);
+ modelist.registerModel(new EvtHypNonLepton);
+ modelist.registerModel(new EvtSVVHelCPMix);
+
+ modelist.registerModel(new EvtLNuGamma);
+ modelist.registerModel(new EvtKstarstargamma);
+
+ modelist.registerModel(new EvtVub);
+ //modelist.registerModel(new EvtVubAFR);
+
+ modelist.registerModel(new EvtVubHybrid);
+ modelist.registerModel(new EvtVubNLO);
+ modelist.registerModel(new EvtVubBLNP);
+ modelist.registerModel(new EvtVubBLNPHybrid);
+
+ modelist.registerModel(new EvtPto3P);
+ modelist.registerModel(new EvtBtoKD3P);
+ modelist.registerModel(new EvtKKLambdaC);
+ modelist.registerModel(new EvtMultibody);
+ modelist.registerModel(new EvtDMix);
+ modelist.registerModel(new EvtD0mixDalitz);
+
+ //modelist.registerModel(new EvtJetSetCDF);
+ //modelist.registerModel(new EvtJscontCDF);
+
+ modelist.registerModel(new EvtbTosllAli);
+ // modelist.registerModel(new EvtBToDDalitzCPK);
+ // modelist.registerModel(new EvtLambdaB2LambdaV);
+ // modelist.registerModel(new EvtLambda2PPiForLambdaB2LambdaV);
+ // modelist.registerModel(new EvtV2VpVmForLambdaB2LambdaV);
+ // modelist.registerModel(new EvtPVVCPLH);
+ // modelist.registerModel(new EvtSSD_DirectCP);
+
+
+//#ifndef EVTSTANDALONE
+// cout << "Will registerModel EvtJetSet"<<endl;
+// modelist.registerModel(new EvtJetSet);
+// modelist.registerModel(new EvtJscont);
+//#else
+ modelist.registerModel(new EvtPycont);
+ cout << "Will register EvtPythia"<<endl;
+ modelist.registerModel(new EvtPythia);
+ modelist.registerModel(new EvtPyGaGa);
+//#endif
+
+
+
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtModelReg.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Lange April 18, 2002 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTMODELREG_HH
+#define EVTMODELREG_HH
+
+#include <list>
+
+class EvtModelReg{
+
+public:
+
+ EvtModelReg(const std::list<EvtDecayBase*>* extraModels=0);
+
+private:
+
+
+};
+
+
+#endif
+
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtResonance.hh"
+#include "EvtGenBase/EvtResonance2.hh"
+#include "EvtGenModels/EvtMultibody.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtdFunction.hh"
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+EvtMultibody::~EvtMultibody()
+{
+ if( _decayTree != NULL ) delete _decayTree;
+ _decayTree=NULL;
+ if( _ilist != NULL ) delete [] _ilist;
+ _ilist=NULL;
+}
+
+std::string EvtMultibody::getName()
+{
+ return "D_MULTIBODY";
+}
+
+EvtDecayBase* EvtMultibody::clone()
+{
+ return new EvtMultibody;
+}
+
+void EvtMultibody::init()
+{
+ int N = getNArg();
+
+ _decayTree = new EvtMTree( getDaugs(), getNDaug() );
+ _ilist = new int[getNDaug()+1];
+
+ for(int i=0; i<N-1; ++i) {
+ if(getArgStr( i )=="RESONANCE") {
+ _decayTree->addtree( getArgStr( ++i ) );
+ } else {
+ report(ERROR,"EvtGen")
+ << "Syntax error at " << getArgStr( i ) << std::endl;
+ ::abort();
+ }
+ }
+}
+
+// Set the maximum probability amplitude - if function is left blank then the
+// program will search for it. This however is not deterministic and therefore
+// in the release cannot be in place.
+void EvtMultibody::initProbMax()
+{
+ // setProbMax(1.0);
+}
+
+void EvtMultibody::decay( EvtParticle *p )
+{
+ // Initialize the phase space before doing anything else!
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtSpinAmp amp = _decayTree->amplitude( p );
+
+ vector<int> index = amp.iterallowedinit();
+ vector<unsigned int> spins = amp.dims();
+
+ do {
+ for( size_t i=0; i<index.size(); ++i ) {
+ _ilist[i]=index[i]+spins[i];
+ }
+
+ vertex( _ilist, amp( index ) );
+ } while( amp.iterateallowed( index ) );
+
+}
--- /dev/null
+#ifndef EVTMULTIBODY_HH
+#define EVTMULTIBODY_HH
+
+#include "EvtGenBase/EvtMTree.hh"
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSpinAmp.hh"
+
+class EvtMultibody:public EvtDecayAmp
+{
+ public:
+ EvtMultibody() { _decayTree = NULL; _ilist = NULL; }
+ virtual ~EvtMultibody();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+ private:
+ EvtMTree * _decayTree;
+ int * _ilist;
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtOmegaDalitz.cc
+//
+// Description: Routine to decay omega -> pi pi pi0
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector3R.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtOmegaDalitz.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+
+EvtOmegaDalitz::~EvtOmegaDalitz() {}
+
+std::string EvtOmegaDalitz::getName(){
+
+ return "OMEGA_DALITZ";
+
+}
+
+
+EvtDecayBase* EvtOmegaDalitz::clone(){
+
+ return new EvtOmegaDalitz;
+
+}
+
+void EvtOmegaDalitz::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+
+}
+
+void EvtOmegaDalitz::initProbMax() {
+
+ setProbMax( 1.0);
+
+}
+
+void EvtOmegaDalitz::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtVector4C ep[3];
+
+ ep[0] = p->eps(0);
+ ep[1] = p->eps(1);
+ ep[2] = p->eps(2);
+
+ EvtVector4R mompi1 = p->getDaug(0)->getP4();
+ EvtVector4R mompi2 = p->getDaug(1)->getP4();
+
+ EvtVector3R p1(mompi1.get(1),mompi1.get(2),mompi1.get(3));
+ EvtVector3R p2(mompi2.get(1),mompi2.get(2),mompi2.get(3));
+ EvtVector3R q=cross(p2,p1);
+
+ EvtVector3C e1(ep[0].get(1),ep[0].get(2),ep[0].get(3));
+ EvtVector3C e2(ep[1].get(1),ep[1].get(2),ep[1].get(3));
+ EvtVector3C e3(ep[2].get(1),ep[2].get(2),ep[2].get(3));
+
+ //This is an approximate formula of the maximum value that
+ //|q| can have.
+ double norm=1.14/(p->mass()*p->mass()/9.0-mompi1.mass2());
+
+ vertex(0,norm*e1*q);
+ vertex(1,norm*e2*q);
+ vertex(2,norm*e3*q);
+
+ return ;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtOmegaDalitz.hh
+//
+// Description:Class to handle the omega -> pi pi pi dalitz decay.
+
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTOMEGADALITZ_HH
+#define EVTOMEGADALITZ_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtOmegaDalitz:public EvtDecayAmp {
+
+public:
+
+ EvtOmegaDalitz() {}
+ virtual ~EvtOmegaDalitz();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void decay(EvtParticle *p);
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+//
+// Description:
+// DFN model:
+// F(k+) = N (1-x)^a exp((1+a)x) ,x=k+/(mB-mb)
+// the fermi motion distribution according to
+// hep-ph/9905351 v2
+// BLNP model:
+// F(wtilde,Lambda,b) = pow(_b,_b)/(tgamma(_b)*_Lambda)*pow(wtilde/_Lambda,_b-1)*
+// exp(-_b*wtilde/Lambda);
+// the leading order shape function (exp) (hep-ph/0504071)
+// Environment:
+// Software developed for the BaBar Detector at the SLAC B-Factory.
+//
+// Author List:
+// Sven Menke (DFN model)
+// Alexei Volk (BLNP model)
+//-----------------------------------------------------------------------
+//-----------------------
+// This Class's Header --
+//-----------------------
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenModels/EvtPFermi.hh"
+#include "EvtGenBase/EvtReport.hh"
+//---------------
+// C Headers --
+//---------------
+#include <math.h>
+#include <stdlib.h>
+
+//----------------
+// Constructors --
+//----------------
+
+//for DFN model
+EvtPFermi::EvtPFermi(const double &a, const double &mB, const double &mb)
+{
+ _a = a;
+ _mb = mb;
+ _mB = mB;
+}
+
+// for BLNP modell
+EvtPFermi::EvtPFermi(const double &Lambda, const double &b)
+{
+ _Lambda = Lambda;
+ _b = b;
+}
+
+
+//--------------
+// Destructor --
+//--------------
+
+EvtPFermi::~EvtPFermi( )
+{
+}
+
+//-----------
+// Methods --
+//-----------
+
+double EvtPFermi::getFPFermi(const double &kplus)
+{
+ double FKplus;
+ double x = kplus/(_mB-_mb);
+
+ if ( x >= 1) return 0;
+ if ( kplus <= -_mb) return 0;
+
+ FKplus = pow(1-x,_a)*exp((1+_a)*x);
+
+ return FKplus;
+}
+
+// get value for the leading order exponential SF
+double EvtPFermi::getSFBLNP(const double &what)
+{
+ double SF;
+ double massB = 5.2792;
+
+
+ if ( what > massB ) return 0;
+ if ( what < 0 ) return 0;
+
+#if defined(__SUNPRO_CC)
+ report(ERROR,"EvtGen") << "The tgamma function is not available on this platform\n";
+ report(ERROR,"EvtGen") <<"Presumably, you are getting the wrong answer, so I abort..";
+ ::abort();
+#else
+ SF = pow(_b,_b)/(tgamma(_b)*_Lambda)*pow(what/_Lambda,_b-1)*exp(-_b*what/_Lambda);
+#endif
+
+ return SF;
+}
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+//
+// Description:
+// DFN model:
+// F(k+) = N (1-x)^a exp((1+a)x) ,x=k+/(mB-mb)
+// the fermi motion distribution according to
+// hep-ph/9905351 v2
+// BLNP model:
+// F(what,Lambda,b) = pow(_b,_b)/(tgamma(_b)*_Lambda)*pow(what/_Lambda,_b-1)*
+// exp(-_b*what/Lambda);
+// the leading order shape function (exp) (hep-ph/0504071)
+// Environment:
+// Software developed for the BaBar Detector at the SLAC B-Factory.
+//
+// Author List:
+// Sven Menke (DFN model)
+// Alexei Volk (BLNP model)
+//-----------------------------------------------------------------------
+
+#ifndef EVTPFERMI_HH
+#define EVTPFERMI_HH
+
+class EvtPFermi {
+
+public:
+
+ // Constructors
+
+ EvtPFermi(const double &a, const double &mB, const double &mb);
+ EvtPFermi(const double &Lambda, const double &b);
+
+ // Destructor
+
+ virtual ~EvtPFermi( );
+
+ // Operators
+
+ // Selectors
+
+ // Modifiers
+
+ // Methods
+
+ double getFPFermi(const double &kplus);
+ double getSFBLNP(const double &what);
+
+protected:
+
+ // Helper functions
+
+private:
+
+ // Friends
+
+ // Data members
+
+ double _a;
+ double _mb;
+ double _mB;
+ double _Lambda;
+ double _b;
+};
+
+
+#endif // EVTPFERMI_HH
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPHOTOS.cc
+//
+// Description: This routine takes the particle *p and applies
+// the PHOTOS package to generate final state radiation
+// on the produced mesons.
+//
+// Modification history:
+//
+// RYD October 1, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPhotonParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtPHOTOS.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <stdlib.h>
+
+extern "C" void begevtgenstorex_(int *,int *,int *,int *,
+ int *,int *,int *,int *,
+ double *,double *,double *,
+ double *,double *,double *,
+ double *,double *,double *);
+
+extern "C" void begevtgengetx_(int *,int *,int *,int *,
+ int *,int *,int *,int *,
+ double *,double *,double *,
+ double *,double *,double *,
+ double *,double *,double *);
+
+extern "C" void heplst_(int *);
+
+extern "C" void photos_(int *);
+
+extern "C" void phoini_();
+
+
+EvtPHOTOS::EvtPHOTOS(std::string photontype){
+
+ _photontype=photontype;
+
+}
+
+void EvtPHOTOS::doRadCorr( EvtParticle *p){
+
+ static int first=1;
+
+ //added by Lange Jan4,2000
+ //allow to set photon tupe
+ static EvtId GAMM=EvtPDL::getId(_photontype);
+
+ if (GAMM==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") << "In EvtPHOTOS::doRadCorr():Particle:"<<
+ _photontype<<" is not in EvtPDL"<<std::endl;
+ ::abort();
+ }
+
+ if (first) {
+ first=0;
+ phoini_();
+ }
+
+ double mpho=EvtPDL::getMeanMass(GAMM);
+
+ int entry,eventnum,numparticle,istat,partnum,mother;
+ int daugfirst,dauglast;
+
+ int numparticlephotos;
+
+ double px,py,pz,e,m,x,y,z,t;
+
+ static EvtId dq=EvtPDL::getId("d");
+ static EvtId adq=EvtPDL::getId("anti-d");
+ static EvtId uq=EvtPDL::getId("u");
+ static EvtId auq=EvtPDL::getId("anti-u");
+ static EvtId sq=EvtPDL::getId("s");
+ static EvtId asq=EvtPDL::getId("anti-s");
+ static EvtId cq=EvtPDL::getId("c");
+ static EvtId acq=EvtPDL::getId("anti-c");
+ static EvtId bq=EvtPDL::getId("b");
+ static EvtId abq=EvtPDL::getId("anti-b");
+ static EvtId tq=EvtPDL::getId("t");
+ static EvtId atq=EvtPDL::getId("anti-t");
+ static EvtId vpho=EvtPDL::getId("vpho");
+
+ static EvtIdSet quarks(dq,adq,uq,auq,sq,asq,cq,acq,bq,abq,tq,atq);
+
+ if ( p->getId() == vpho ) return;
+ if ( p->getNDaug() > 10 ) return;
+
+ px=0.0;
+ py=0.0;
+ pz=0.0;
+ e=p->mass();
+ m=p->mass();
+ x=0.0;
+ y=0.0;
+ z=0.0;
+ t=0.0;
+
+ entry=1;
+ eventnum=1;
+ numparticle=1;
+ istat=2;
+ partnum=EvtPDL::getStdHep(p->getId());
+ mother=0;
+ daugfirst=2;
+ dauglast=1+p->getNDaug();
+
+ begevtgenstorex_(&entry,&eventnum,&numparticle,&istat,&partnum,
+ &mother,&daugfirst,&dauglast,
+ &px,&py,&pz,&e,&m,&x,&y,&z,&t);
+
+ // std::cout << EvtPDL::name(p->getId()) <<" " ;
+ for(size_t i=0;i<p->getNDaug();i++){
+
+ //No quarks to photos
+ if (quarks.contains(p->getDaug(i)->getId())==1) continue;
+
+ px=p->getDaug(i)->getP4().get(1);
+ py=p->getDaug(i)->getP4().get(2);
+ pz=p->getDaug(i)->getP4().get(3);
+ e=p->getDaug(i)->getP4().get(0);
+ m=p->getDaug(i)->mass();
+ x=0.0;
+ y=0.0;
+ z=0.0;
+ t=0.0;
+
+ // std::cout << EvtPDL::name(p->getDaug(i)->getId()) << " " ;
+ entry+=1;
+ eventnum=1;
+ numparticle+=1;
+ istat=1;
+ partnum=EvtPDL::getStdHep(p->getDaug(i)->getId());
+ mother=1;
+ daugfirst=0;
+ dauglast=0;
+
+ begevtgenstorex_(&entry,&eventnum,&numparticle,&istat,&partnum,
+ &mother,&daugfirst,&dauglast,
+ &px,&py,&pz,&e,&m,&x,&y,&z,&t);
+
+
+ }
+ // std::cout << std::endl;
+ //can't use heplst since the common block used by the BaBar
+ //implementation of PHOTOS is renamed due to real*4 vs real*8
+ //problems.
+
+ //int mlst=1;
+
+ //heplst_(&mlst);
+
+ entry=1;
+
+ // report(INFO,"EvtGen") << "Doing photos " << EvtPDL::name(p->getId()) << endl;
+ photos_(&entry);
+ // report(INFO,"EvtGen") << "done\n";
+ begevtgengetx_(&entry,&eventnum,&numparticlephotos,&istat,&partnum,
+ &mother,&daugfirst,&dauglast,
+ &px,&py,&pz,&e,&m,&x,&y,&z,&t);
+
+
+ //report(INFO,"EvtGen") << "numparticlephotos:"<<numparticlephotos<<endl;
+
+ if (numparticle==numparticlephotos) return;
+
+ EvtVector4R new4mom;
+
+ int np;
+
+ for(size_t i=0;i<p->getNDaug();i++){
+
+ entry=i+2;
+
+ begevtgengetx_(&entry,&eventnum,&np,&istat,&partnum,
+ &mother,&daugfirst,&dauglast,
+ &px,&py,&pz,&e,&m,&x,&y,&z,&t);
+
+ //this is needed to ensure that photos does not
+ //change the masses. But it will violate energy conservation!
+ double mp=p->getDaug(i)->mass();
+ e=sqrt(mp*mp+px*px+py*py+pz*pz);
+
+ new4mom.set(e,px,py,pz);
+
+ p->getDaug(i)->setP4WithFSR(new4mom);
+
+
+
+ }
+
+ for(entry=numparticle+1;entry<=numparticlephotos;entry++){
+
+ begevtgengetx_(&entry,&eventnum,&np,&istat,&partnum,
+ &mother,&daugfirst,&dauglast,
+ &px,&py,&pz,&e,&m,&x,&y,&z,&t);
+
+ //Hack here to give the photon the mass of the generated particle
+ e=sqrt(mpho*mpho+px*px+py*py+pz*pz);
+ new4mom.set(e,px,py,pz);
+
+ //new4mom.dump();
+
+ EvtPhotonParticle* gamma;
+ gamma=new EvtPhotonParticle;
+ gamma->init(GAMM,new4mom);
+ gamma->setFSRP4toZero();
+ // report(INFO,"EvtGen") << gamma << " " << p << " "<< px << " " << py << " " << pz << " " << p->getNDaug() << " " << EvtPDL::name(p->getId())<<" " << entry << " " <<numparticlephotos<<endl;
+ gamma->addDaug(p);
+
+// p->getDaug(i)->set_type(EvtSpinType::PHOTON);
+
+ }
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPHOTOS.hh
+//
+// Description: EvtGen's interface to PHOTOS for generation of
+// QED final state radiation.
+//
+// Modification history:
+//
+// RYD March 24, 1998 Module created
+// Lange April 25, 2002 - changed to derive from EvtAbsRadCorr
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPHOTOS_HH
+#define EVTPHOTOS_HH
+
+#include "EvtGenBase/EvtAbsRadCorr.hh"
+#include <string>
+
+class EvtParticle;
+
+class EvtPHOTOS : public EvtAbsRadCorr{
+
+public:
+
+ //The photon type to use
+ EvtPHOTOS(std::string photontype="gamma");
+
+ void doRadCorr(EvtParticle *p);
+
+private:
+ std::string _photontype;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtHelAmp.cc
+//
+// Description: Decay model for implementation of generic 2 body
+// decay specified by the partial wave amplitudes
+//
+//
+// Modification history:
+//
+// fkw February 2, 2001 changes to satisfy KCC
+// RYD September 7, 2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtPartWave.hh"
+#include "EvtGenBase/EvtEvalHelAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtKine.hh"
+#include "EvtGenBase/EvtCGCoefSingle.hh"
+#include <algorithm>
+using std::endl;
+EvtPartWave::~EvtPartWave() {}
+
+std::string EvtPartWave::getName(){
+
+ return "PARTWAVE";
+
+}
+
+
+EvtDecayBase* EvtPartWave::clone(){
+
+ return new EvtPartWave;
+
+}
+
+void EvtPartWave::init(){
+
+ checkNDaug(2);
+
+ //find out how many states each particle have
+ int _nA=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getParentId()));
+ int _nB=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getDaug(0)));
+ int _nC=EvtSpinType::getSpinStates(EvtPDL::getSpinType(getDaug(1)));
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"_nA,_nB,_nC:"
+ <<_nA<<","<<_nB<<","<<_nC<<endl;
+ }
+
+ //find out what 2 times the spin is
+ int _JA2=EvtSpinType::getSpin2(EvtPDL::getSpinType(getParentId()));
+ int _JB2=EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(0)));
+ int _JC2=EvtSpinType::getSpin2(EvtPDL::getSpinType(getDaug(1)));
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"_JA2,_JB2,_JC2:"
+ <<_JA2<<","<<_JB2<<","<<_JC2<<endl;
+ }
+
+
+ //allocate memory
+ int* _lambdaA2=new int[_nA];
+ int* _lambdaB2=new int[_nB];
+ int* _lambdaC2=new int[_nC];
+
+ EvtComplexPtr* _HBC=new EvtComplexPtr[_nB];
+ int ib,ic;
+ for(ib=0;ib<_nB;ib++){
+ _HBC[ib]=new EvtComplex[_nC];
+ }
+
+
+ int i;
+ //find the allowed helicities (actually 2*times the helicity!)
+
+ fillHelicity(_lambdaA2,_nA,_JA2);
+ fillHelicity(_lambdaB2,_nB,_JB2);
+ fillHelicity(_lambdaC2,_nC,_JC2);
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"Helicity states of particle A:"<<endl;
+ for(i=0;i<_nA;i++){
+ report(INFO,"EvtGen")<<_lambdaA2[i]<<endl;
+ }
+
+ report(INFO,"EvtGen")<<"Helicity states of particle B:"<<endl;
+ for(i=0;i<_nB;i++){
+ report(INFO,"EvtGen")<<_lambdaB2[i]<<endl;
+ }
+
+ report(INFO,"EvtGen")<<"Helicity states of particle C:"<<endl;
+ for(i=0;i<_nC;i++){
+ report(INFO,"EvtGen")<<_lambdaC2[i]<<endl;
+ }
+
+ report(INFO,"EvtGen")<<"Will now figure out the valid (M_LS) states:"<<endl;
+
+ }
+
+ int Lmin=std::max(_JA2-_JB2-_JC2,std::max(_JB2-_JA2-_JC2,_JC2-_JA2-_JB2));
+ if (Lmin<0) Lmin=0;
+ //int Lmin=_JA2-_JB2-_JC2;
+ int Lmax=_JA2+_JB2+_JC2;
+
+ int L;
+
+ int _nPartialWaveAmp=0;
+
+ int _nL[50];
+ int _nS[50];
+
+ for (L=Lmin;L<=Lmax;L+=2){
+ int Smin=abs(L-_JA2);
+ if (Smin<abs(_JB2-_JC2)) Smin=abs(_JB2-_JC2);
+ int Smax=L+_JA2;
+ if (Smax>abs(_JB2+_JC2)) Smax=abs(_JB2+_JC2);
+ int S;
+ for (S=Smin;S<=Smax;S+=2){
+ _nL[_nPartialWaveAmp]=L;
+ _nS[_nPartialWaveAmp]=S;
+
+ _nPartialWaveAmp++;
+ if (verbose()){
+ report(INFO,"EvtGen")<<"M["<<L<<"]["<<S<<"]"<<endl;
+ }
+ }
+ }
+
+ checkNArg(_nPartialWaveAmp*2);
+
+ int argcounter=0;
+
+ EvtComplex _M[50];
+
+ double partampsqtot=0.0;
+
+ for(i=0;i<_nPartialWaveAmp;i++){
+ _M[i]=getArg(argcounter)*exp(EvtComplex(0.0,getArg(argcounter+1)));;
+ argcounter+=2;
+ partampsqtot+=abs2(_M[i]);
+ if (verbose()){
+ report(INFO,"EvtGen")<<"M["<<_nL[i]<<"]["<<_nS[i]<<"]="<<_M[i]<<endl;
+ }
+ }
+
+ //Now calculate the helicity amplitudes
+
+ double helampsqtot=0.0;
+
+ for(ib=0;ib<_nB;ib++){
+ for(ic=0;ic<_nC;ic++){
+ _HBC[ib][ic]=0.0;
+ if (abs(_lambdaB2[ib]-_lambdaC2[ic])<=_JA2){
+ for(i=0;i<_nPartialWaveAmp;i++){
+ int L=_nL[i];
+ int S=_nS[i];
+ int lambda2=_lambdaB2[ib];
+ int lambda3=_lambdaC2[ic];
+ int s1=_JA2;
+ int s2=_JB2;
+ int s3=_JC2;
+ int m1=lambda2-lambda3;
+ EvtCGCoefSingle c1(s2,s3);
+ EvtCGCoefSingle c2(L,S);
+
+ if (verbose()){
+ report(INFO,"EvtGen") << "s2,lambda2:"<<s2<<" "<<lambda2<<endl;
+ }
+ //fkw changes to satisfy KCC
+ double fkwTmp = (L+1.0)/(s1+1.0);
+
+ if (S>=abs(m1)){
+
+ EvtComplex tmp=sqrt(fkwTmp)
+ *c1.coef(S,m1,s2,s3,lambda2,-lambda3)
+ *c2.coef(s1,m1,L,S,0,m1)*_M[i];
+ _HBC[ib][ic]+=tmp;
+ }
+ }
+ if (verbose()){
+ report(INFO,"EvtGen")<<"_HBC["<<ib<<"]["<<ic<<"]="<<_HBC[ib][ic]<<endl;
+ }
+ }
+ helampsqtot+=abs2(_HBC[ib][ic]);
+ }
+ }
+
+ if (fabs(helampsqtot-partampsqtot)/(helampsqtot+partampsqtot)>1e-6){
+ report(ERROR,"EvtGen")<<"In EvtPartWave for decay "
+ << EvtPDL::name(getParentId()) << " -> "
+ << EvtPDL::name(getDaug(0)) << " "
+ << EvtPDL::name(getDaug(1)) << std::endl;
+ report(ERROR,"EvtGen")<<"With arguments: "<<std::endl;
+ for(i=0;i*2<getNArg();i++){
+ report(ERROR,"EvtGen") <<"M("<<_nL[i]<<","<<_nS[i]<<")="
+// <<getArg(2*i)<<" "<<getArg(2*i+1)<<std::endl;
+ <<_M[i]<<std::endl;
+ }
+ report(ERROR,"EvtGen")<< "The total probability in the partwave basis is: "
+ << partampsqtot << std::endl;
+ report(ERROR,"EvtGen")<< "The total probability in the helamp basis is: "
+ << helampsqtot << std::endl;
+ report(ERROR,"EvtGen")<< "Most likely this is because the specified partwave amplitudes "
+ << std::endl;
+ report(ERROR,"EvtGen")<< "project onto unphysical helicities of photons or neutrinos. "
+ << std::endl;
+ report(ERROR,"EvtGen")<< "Seriously consider if your specified amplitudes are correct. "
+ << std::endl;
+
+
+ }
+
+ _evalHelAmp=new EvtEvalHelAmp(getParentId(),
+ getDaug(0),
+ getDaug(1),
+ _HBC);
+
+}
+
+
+void EvtPartWave::initProbMax(){
+
+ double maxprob=_evalHelAmp->probMax();
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<"Calculated probmax"<<maxprob<<endl;
+ }
+
+ setProbMax(maxprob);
+
+}
+
+
+void EvtPartWave::decay( EvtParticle *p){
+
+ //first generate simple phase space
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ _evalHelAmp->evalAmp(p,_amp2);
+
+ return;
+
+}
+
+
+
+void EvtPartWave::fillHelicity(int* lambda2,int n,int J2){
+
+ int i;
+
+ //photon is special case!
+ if (n==2&&J2==2) {
+ lambda2[0]=2;
+ lambda2[1]=-2;
+ return;
+ }
+
+ assert(n==J2+1);
+
+ for(i=0;i<n;i++){
+ lambda2[i]=n-i*2-1;
+ }
+
+ return;
+
+}
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPartWave.hh
+//
+// Description:Decay model for implementation of generic 2 body
+// decay specified by the partial waves amplitudes
+//
+// Modification history:
+//
+// RYD September 7, 1999 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPARTWAVE_HH
+#define EVTPARTWAVE_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+
+class EvtParticle;
+class EvtEvalHelAmp;
+
+class EvtPartWave:public EvtDecayAmp{
+
+public:
+
+ EvtPartWave() : _evalHelAmp(0) {}
+ virtual ~EvtPartWave();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+
+private:
+
+ void fillHelicity(int* lambda2,int n,int J2);
+
+ EvtEvalHelAmp* _evalHelAmp;
+
+};
+
+#endif
+
+
+
+
+
+
--- /dev/null
+#include "EvtGenBase/EvtPatches.hh"
+
+#include <stdlib.h>
+#include <math.h>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtPhiDalitz.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+
+// Implementation of KLOE measurement
+// PL B561: 55-60 (2003) + Erratum B609:449-450 (2005)
+// or hep-ex/0303016v2
+
+
+EvtPhiDalitz::~EvtPhiDalitz() {}
+
+std::string EvtPhiDalitz::getName(){
+
+ return "PHI_DALITZ";
+
+}
+
+
+EvtDecayBase* EvtPhiDalitz::clone(){
+
+ return new EvtPhiDalitz;
+
+}
+
+void EvtPhiDalitz::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+ checkSpinDaughter(2,EvtSpinType::SCALAR);
+
+ _mRho=0.7758;
+ _gRho=0.1439;
+ _aD=0.78;
+ _phiD=-2.47;
+ _aOmega=0.0071;
+ _phiOmega=-0.22;
+
+ _locPip=-1;
+ _locPim=-1;
+ _locPi0=-1;
+
+ for ( int i=0; i<3; i++) {
+ if ( getDaug(i) == EvtPDL::getId("pi+")) _locPip=i;
+ if ( getDaug(i) == EvtPDL::getId("pi-")) _locPim=i;
+ if ( getDaug(i) == EvtPDL::getId("pi0")) _locPi0=i;
+ }
+ if ( _locPip == -1 || _locPim == -1 || _locPi0 == -1 ) {
+ report(ERROR,"EvtGen") << getModelName() << "generator expects daughters to be pi+ pi- pi0\n";
+ report(ERROR,"EvtGen") << "Found " << EvtPDL::name(getDaug(0)) << " "
+ << EvtPDL::name(getDaug(1)) << " "
+ << EvtPDL::name(getDaug(2)) << std::endl;
+
+ }
+
+
+}
+
+
+
+
+void EvtPhiDalitz::decay( EvtParticle *p){
+
+ EvtId PIP=EvtPDL::getId("pi+");
+ EvtId PIM=EvtPDL::getId("pi-");
+ EvtId PIZ=EvtPDL::getId("pi0");
+ EvtId OMEGA=EvtPDL::getId("omega");
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtVector4R Ppip = p->getDaug(_locPip)->getP4();
+ EvtVector4R Ppim = p->getDaug(_locPim)->getP4();
+ EvtVector4R Ppi0 = p->getDaug(_locPi0)->getP4();
+ EvtVector4R Qp = (Ppim + Ppi0);
+ EvtVector4R Qm = (Ppip + Ppi0);
+ EvtVector4R Q0 = (Ppip + Ppim);
+ double m2_pip = pow(EvtPDL::getMeanMass(PIP),2);
+ double m2_pim = pow(EvtPDL::getMeanMass(PIM),2);
+ double m2_pi0 = pow(EvtPDL::getMeanMass(PIZ),2);
+ double M2rhop = pow(_mRho,2);
+ double M2rhom = pow(_mRho,2);
+ double M2rho0 = pow(_mRho,2);
+ double M2omega = pow(EvtPDL::getMeanMass(OMEGA),2);
+
+ double Wrhop = _gRho;
+ double Wrhom = _gRho;
+ double Wrho0 = _gRho;
+ double Womega = EvtPDL::getWidth(OMEGA);
+
+ EvtComplex Atot(0,0);
+
+ //Rho+ Risonance Amplitude
+ double Gp = Wrhop*pow(((Qp.mass2()-m2_pim-m2_pi0)/2-M2rhop/4)/(M2rhop/4-(m2_pim+m2_pi0)/2),3/2)*(M2rhop/Qp.mass2());
+ EvtComplex Drhop((Qp.mass2()-M2rhop),Qp.mass()*Gp);
+ EvtComplex A1(M2rhop/Drhop);
+
+ //Rho- Risonance Amplitude
+ double Gm = Wrhom*pow(((Qm.mass2()-m2_pip-m2_pi0)/2-M2rhom/4)/(M2rhom/4-(m2_pip+m2_pi0)/2),3/2)*(M2rhom/Qm.mass2());
+ EvtComplex Drhom((Qm.mass2()-M2rhom),Qm.mass()*Gm);
+ EvtComplex A2(M2rhom/Drhom);
+
+ //Rho0 Risonance Amplitude
+ double G0 = Wrho0*pow(((Q0.mass2()-m2_pip-m2_pim)/2-M2rho0/4)/(M2rho0/4-(m2_pip+m2_pim)/2),3/2)*(M2rho0/Q0.mass2());
+ EvtComplex Drho0((Q0.mass2()-M2rho0),Q0.mass()*G0);
+ EvtComplex A3(M2rho0/Drho0);
+
+ //Omega Risonance Amplitude
+ EvtComplex OmegaPhase(0,_phiOmega);
+ EvtComplex DOmega((Q0.mass2()-M2omega),Q0.mass()*Womega);
+ EvtComplex A4(_aOmega*M2omega*exp(OmegaPhase)/DOmega);
+
+ //Direct Decay Amplitude
+ EvtComplex DirPhase(0,_phiD);
+ EvtComplex A5(_aD*exp(DirPhase));
+
+ Atot=A1+A2+A3+A4+A5;
+
+ vertex(0,Atot);
+ vertex(1,Atot);
+ vertex(2,Atot);
+
+ return ;
+
+}
+
+
+
+
+
+
+
--- /dev/null
+
+#ifndef EVTPHIDALITZ_HH
+#define EVTPHIDALITZ_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtPhiDalitz:public EvtDecayAmp {
+
+public:
+
+ EvtPhiDalitz() {}
+ virtual ~EvtPhiDalitz();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+private:
+ double _mRho;
+ double _gRho;
+ double _aD;
+ double _phiD;
+ double _aOmega;
+ double _phiOmega;
+ int _locPip;
+ int _locPim;
+ int _locPi0;
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPhsp.cc
+//
+// Description: Routine to decay a particle according th phase space
+//
+// Modification history:
+//
+// RYD January 8, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtPhsp.hh"
+#include <string>
+
+EvtPhsp::~EvtPhsp() {}
+
+std::string EvtPhsp::getName(){
+
+ return "PHSP";
+
+}
+
+EvtDecayBase* EvtPhsp::clone(){
+
+ return new EvtPhsp;
+
+}
+
+
+void EvtPhsp::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+
+}
+
+void EvtPhsp::initProbMax(){
+
+ noProbMax();
+
+}
+
+void EvtPhsp::decay( EvtParticle *p ){
+
+ //unneeded - lange - may13-02
+ //if ( p->getNDaug() != 0 ) {
+ //Will end up here because maxrate multiplies by 1.2
+ // report(DEBUG,"EvtGen") << "In EvtPhsp: has "
+ // <<" daugthers should not be here!"<<endl;
+ // return;
+ //}
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ return ;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPhsp.hh
+//
+// Description:
+//Class to handle generic phase space decays not done
+//in other decay models.
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPHSP_HH
+#define EVTPHSP_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+class EvtPhsp:public EvtDecayIncoherent {
+
+public:
+
+ EvtPhsp() {}
+ virtual ~EvtPhsp();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPi0Dalitz.cc
+//
+// Description: pi0 -> e+ e- gamma
+//
+// Modification history:
+//
+// DJL/RYD June 30, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <fstream>
+#include <stdio.h>
+#include <string>
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtPi0Dalitz.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+using std::fstream;
+
+EvtPi0Dalitz::~EvtPi0Dalitz() {}
+
+std::string EvtPi0Dalitz::getName(){
+
+ return "PI0_DALITZ";
+
+}
+
+EvtDecayBase* EvtPi0Dalitz::clone(){
+
+ return new EvtPi0Dalitz;
+
+}
+
+
+void EvtPi0Dalitz::initProbMax(){
+
+ setProbMax(3.5);
+
+}
+
+
+void EvtPi0Dalitz::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::DIRAC);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::PHOTON);
+
+}
+
+
+void EvtPi0Dalitz::decay( EvtParticle *p){
+
+ EvtParticle *ep, *em, *gamma;
+ setWeight(p->initializePhaseSpace(getNDaug(),getDaugs(),false,
+ 0.00000002,0,1));
+
+ ep=p->getDaug(0);
+ em=p->getDaug(1);
+ gamma=p->getDaug(2);
+
+ // the next four lines generates events with a weight such that
+ // the efficiency for selecting them is good. The parameter below of
+ // 0.1 is the size of the peak at low q^2 (in arbitrary units).
+ // The value of 0.1 is appropriate for muons.
+ // when you use this remember to remove the cut on q^2!
+
+
+ //ep em invariant mass^2
+ double m2=(ep->getP4()+em->getP4()).mass2();
+ EvtVector4R q=ep->getP4()+em->getP4();
+ //Just use the prob summed over spins...
+
+ EvtTensor4C w,v;
+
+ v=2.0*(gamma->getP4()*q)*directProd(q,gamma->getP4())
+ - (gamma->getP4()*q)*(gamma->getP4()*q)*EvtTensor4C::g()
+ -m2*directProd(gamma->getP4(),gamma->getP4());
+
+ w=4.0*( directProd(ep->getP4(),em->getP4()) + directProd(em->getP4(),ep->getP4())
+ -EvtTensor4C::g()*(ep->getP4()*em->getP4()-ep->getP4().mass2()));
+
+ double prob=(real(cont(v,w)))/(m2*m2);
+ prob *=(1.0/( (0.768*0.768-m2)*(0.768*0.768-m2)
+ +0.768*0.768*0.151*0.151));
+
+ // report(INFO,"EvtGen") << "prob is "<<prob<<endl;
+ setProb(prob);
+
+ return;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPi0Dalitz.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPI0DALITZ_HH
+#define EVTPI0DALITZ_HH
+
+#include "EvtGenBase/EvtDecayProb.hh"
+
+class EvtParticle;
+
+class EvtPi0Dalitz:public EvtDecayProb {
+
+public:
+
+ EvtPi0Dalitz() {}
+ virtual ~EvtPi0Dalitz();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPropSLPole.cc
+//
+// Description: Routine to implement semileptonic decays according
+// to light cone sum rules
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtPropSLPole.hh"
+#include "EvtGenModels/EvtSLPoleFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicTensorAmp.hh"
+#include "EvtGenBase/EvtIntervalFlatPdf.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtTensorParticle.hh"
+#include "EvtGenBase/EvtTwoBodyVertex.hh"
+#include "EvtGenBase/EvtPropBreitWignerRel.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtAmpPdf.hh"
+#include "EvtGenBase/EvtMassAmp.hh"
+#include "EvtGenBase/EvtSpinType.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include <string>
+
+EvtPropSLPole::~EvtPropSLPole() {}
+
+std::string EvtPropSLPole::getName(){
+
+ return "PROPSLPOLE";
+
+}
+
+
+EvtDecayBase* EvtPropSLPole::clone(){
+
+ return new EvtPropSLPole;
+
+}
+
+void EvtPropSLPole::decay( EvtParticle *p ){
+
+ if(! _isProbMaxSet){
+
+ EvtId parnum,mesnum,lnum,nunum;
+
+ parnum = getParentId();
+ mesnum = getDaug(0);
+ lnum = getDaug(1);
+ nunum = getDaug(2);
+
+ double mymaxprob = calcMaxProb(parnum,mesnum,
+ lnum,nunum,SLPoleffmodel);
+
+ setProbMax(mymaxprob);
+
+ _isProbMaxSet = true;
+
+ }
+
+ double minKstMass = EvtPDL::getMinMass(p->getDaug(0)->getId());
+ double maxKstMass = EvtPDL::getMaxMass(p->getDaug(0)->getId());
+
+ EvtIntervalFlatPdf flat(minKstMass, maxKstMass);
+ EvtPdfGen<EvtPoint1D> gen(flat);
+ EvtPoint1D point = gen();
+
+ double massKst = point.value();
+
+ p->getDaug(0)->setMass(massKst);
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+// EvtVector4R p4meson = p->getDaug(0)->getP4();
+
+ calcamp->CalcAmp(p,_amp2,SLPoleffmodel);
+
+ EvtParticle *mesonPart = p->getDaug(0);
+
+ double meson_BWAmp = calBreitWigner(mesonPart, point);
+
+ int list[2];
+ list[0]=0; list[1]=0;
+ _amp2.vertex(0,0,_amp2.getAmp(list)*meson_BWAmp);
+ list[0]=0; list[1]=1;
+ _amp2.vertex(0,1,_amp2.getAmp(list)*meson_BWAmp);
+
+ list[0]=1; list[1]=0;
+ _amp2.vertex(1,0,_amp2.getAmp(list)*meson_BWAmp);
+ list[0]=1; list[1]=1;
+ _amp2.vertex(1,1,_amp2.getAmp(list)*meson_BWAmp);
+
+ list[0]=2; list[1]=0;
+ _amp2.vertex(2,0,_amp2.getAmp(list)*meson_BWAmp);
+ list[0]=2; list[1]=1;
+ _amp2.vertex(2,1,_amp2.getAmp(list)*meson_BWAmp);
+
+
+ return;
+
+}
+
+void EvtPropSLPole::initProbMax(){
+
+ _isProbMaxSet = false;
+
+ return;
+
+}
+
+
+void EvtPropSLPole::init(){
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(getDaug(0));
+
+ SLPoleffmodel = new EvtSLPoleFF(getNArg(),getArgs());
+
+ if ( mesontype==EvtSpinType::SCALAR ) {
+ calcamp = new EvtSemiLeptonicScalarAmp;
+ }
+ if ( mesontype==EvtSpinType::VECTOR ) {
+ calcamp = new EvtSemiLeptonicVectorAmp;
+ }
+ if ( mesontype==EvtSpinType::TENSOR ) {
+ calcamp = new EvtSemiLeptonicTensorAmp;
+ }
+
+}
+
+
+double EvtPropSLPole::calBreitWignerBasic(double maxMass){
+
+ if ( _width< 0.0001) return 1.0;
+ //its not flat - but generated according to a BW
+
+ double mMin=_massMin;
+ double mMax=_massMax;
+ if ( maxMass>-0.5 && maxMass< mMax) mMax=maxMass;
+
+ double massGood = EvtRandom::Flat(mMin, mMax);
+
+ double ampVal = sqrt(1.0/(pow(massGood-_mass, 2.0) + pow(_width, 2.0)/4.0));
+
+ return ampVal;
+
+}
+
+
+double EvtPropSLPole::calBreitWigner(EvtParticle *pmeson, EvtPoint1D point){
+
+ EvtId mesnum = pmeson->getId();
+ double _mass = EvtPDL::getMeanMass(mesnum);
+ double _width = EvtPDL::getWidth(mesnum);
+ double _maxRange = EvtPDL::getMaxRange(mesnum);
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(mesnum);
+ _includeDecayFact=true;
+ _includeBirthFact=true;
+ _spin = mesontype;
+ _blatt = 3.0;
+
+ double maxdelta = 15.0*_width;
+
+ if ( _maxRange > 0.00001 ) {
+ _massMax=_mass+maxdelta;
+ _massMin=_mass-_maxRange;
+ }
+ else{
+ _massMax=_mass+maxdelta;
+ _massMin=_mass-15.0*_width;
+ }
+
+ _massMax=_mass+maxdelta;
+ if ( _massMin< 0. ) _massMin=0.;
+
+
+ EvtParticle* par=pmeson->getParent();
+ double maxMass=-1.;
+ if ( par != 0 ) {
+ if ( par->hasValidP4() ) maxMass=par->mass();
+ for ( size_t i=0;i<par->getNDaug();i++) {
+ EvtParticle *tDaug=par->getDaug(i);
+ if ( pmeson != tDaug )
+ maxMass-=EvtPDL::getMinMass(tDaug->getId());
+ }
+ }
+
+ EvtId *dauId=0;
+ double *dauMasses=0;
+ size_t nDaug = pmeson->getNDaug();
+ if ( nDaug > 0) {
+ dauId=new EvtId[nDaug];
+ dauMasses=new double[nDaug];
+ for (size_t j=0;j<nDaug;j++) {
+ dauId[j]=pmeson->getDaug(j)->getId();
+ dauMasses[j]=pmeson->getDaug(j)->mass();
+ }
+ }
+ EvtId *parId=0;
+ EvtId *othDaugId=0;
+ EvtParticle *tempPar=pmeson->getParent();
+ if (tempPar) {
+ parId=new EvtId(tempPar->getId());
+ if ( tempPar->getNDaug()==2 ) {
+ if ( tempPar->getDaug(0) == pmeson ) othDaugId=new EvtId(tempPar->getDaug(1)->getId());
+ else othDaugId=new EvtId(tempPar->getDaug(0)->getId());
+ }
+ }
+
+ if ( nDaug!=2) return calBreitWignerBasic(maxMass);
+
+ if ( _width< 0.00001) return 1.0;
+
+ //first figure out L - take the lowest allowed.
+
+ EvtSpinType::spintype spinD1=EvtPDL::getSpinType(dauId[0]);
+ EvtSpinType::spintype spinD2=EvtPDL::getSpinType(dauId[1]);
+
+ int t1=EvtSpinType::getSpin2(spinD1);
+ int t2=EvtSpinType::getSpin2(spinD2);
+ int t3=EvtSpinType::getSpin2(_spin);
+
+ int Lmin=-10;
+
+ // allow for special cases.
+ if (Lmin<-1 ) {
+
+ //There are some things I don't know how to deal with
+ if ( t3>4) return calBreitWignerBasic(maxMass);
+ if ( t1>4) return calBreitWignerBasic(maxMass);
+ if ( t2>4) return calBreitWignerBasic(maxMass);
+
+ //figure the min and max allowwed "spins" for the daughters state
+ Lmin=std::max(t3-t2-t1,std::max(t2-t3-t1,t1-t3-t2));
+ if (Lmin<0) Lmin=0;
+ assert(Lmin==0||Lmin==2||Lmin==4);
+ }
+
+ //double massD1=EvtPDL::getMeanMass(dauId[0]);
+ //double massD2=EvtPDL::getMeanMass(dauId[1]);
+ double massD1=dauMasses[0];
+ double massD2=dauMasses[1];
+
+ // I'm not sure how to define the vertex factor here - so retreat to nonRel code.
+ if ( (massD1+massD2)> _mass ) return calBreitWignerBasic(maxMass);
+
+ //parent vertex factor not yet implemented
+ double massOthD=-10.;
+ double massParent=-10.;
+ int birthl=-10;
+ if ( othDaugId) {
+ EvtSpinType::spintype spinOth=EvtPDL::getSpinType(*othDaugId);
+ EvtSpinType::spintype spinPar=EvtPDL::getSpinType(*parId);
+
+ int tt1=EvtSpinType::getSpin2(spinOth);
+ int tt2=EvtSpinType::getSpin2(spinPar);
+ int tt3=EvtSpinType::getSpin2(_spin);
+
+ //figure the min and max allowwed "spins" for the daughters state
+ if ( (tt1<=4) && ( tt2<=4) ) {
+ birthl=std::max(tt3-tt2-tt1,std::max(tt2-tt3-tt1,tt1-tt3-tt2));
+ if (birthl<0) birthl=0;
+
+ massOthD=EvtPDL::getMeanMass(*othDaugId);
+ massParent=EvtPDL::getMeanMass(*parId);
+
+ }
+
+ }
+ double massM=_massMax;
+ if ( (maxMass > -0.5) && (maxMass < massM) ) massM=maxMass;
+
+ //special case... if the parent mass is _fixed_ we can do a little better
+ //and only for a two body decay as that seems to be where we have problems
+
+ // Define relativistic propagator amplitude
+
+ EvtTwoBodyVertex vd(massD1,massD2,_mass,Lmin/2);
+ vd.set_f(_blatt);
+ EvtPropBreitWignerRel bw(_mass,_width);
+ EvtMassAmp amp(bw,vd);
+// if ( _fixMassForMax) amp.fixUpMassForMax();
+// else std::cout << "problem problem\n";
+ if ( _includeDecayFact) {
+ amp.addDeathFact();
+ amp.addDeathFactFF();
+ }
+ if ( massParent>-1.) {
+ if ( _includeBirthFact ) {
+
+ EvtTwoBodyVertex vb(_mass,massOthD,massParent,birthl/2);
+ amp.setBirthVtx(vb);
+ amp.addBirthFact();
+ amp.addBirthFactFF();
+ }
+ }
+
+ EvtAmpPdf<EvtPoint1D> pdf(amp);
+
+ double ampVal = sqrt(pdf.evaluate(point));
+
+ if ( parId) delete parId;
+ if ( othDaugId) delete othDaugId;
+ if ( dauId) delete [] dauId;
+ if ( dauMasses) delete [] dauMasses;
+
+ return ampVal;
+
+}
+
+
+double EvtPropSLPole::calcMaxProb( EvtId parent, EvtId meson,
+ EvtId lepton, EvtId nudaug,
+ EvtSemiLeptonicFF *FormFactors ) {
+
+ //This routine takes the arguements parent, meson, and lepton
+ //number, and a form factor model, and returns a maximum
+ //probability for this semileptonic form factor model. A
+ //brute force method is used. The 2D cos theta lepton and
+ //q2 phase space is probed.
+
+ //Start by declaring a particle at rest.
+
+ //It only makes sense to have a scalar parent. For now.
+ //This should be generalized later.
+
+ EvtScalarParticle *scalar_part;
+ EvtParticle *root_part;
+
+ scalar_part=new EvtScalarParticle;
+
+ //cludge to avoid generating random numbers!
+ scalar_part->noLifeTime();
+
+ EvtVector4R p_init;
+
+ p_init.set(EvtPDL::getMass(parent),0.0,0.0,0.0);
+ scalar_part->init(parent,p_init);
+ root_part=(EvtParticle *)scalar_part;
+// root_part->set_type(EvtSpinType::SCALAR);
+ root_part->setDiagonalSpinDensity();
+
+ EvtParticle *daughter, *lep, *trino;
+
+ EvtAmp amp;
+
+ EvtId listdaug[3];
+ listdaug[0] = meson;
+ listdaug[1] = lepton;
+ listdaug[2] = nudaug;
+
+ amp.init(parent,3,listdaug);
+
+ root_part->makeDaughters(3,listdaug);
+ daughter=root_part->getDaug(0);
+ lep=root_part->getDaug(1);
+ trino=root_part->getDaug(2);
+
+ EvtDecayBase *decayer;
+ decayer = EvtDecayTable::getDecayFunc(daughter);
+ if ( decayer ) {
+ daughter->makeDaughters(decayer->nRealDaughters(),decayer->getDaugs());
+ for(int ii=0; ii<decayer->nRealDaughters(); ii++){
+ daughter->getDaug(ii)->setMass(EvtPDL::getMeanMass(daughter->getDaug(ii)->getId()));
+ }
+ }
+
+ //cludge to avoid generating random numbers!
+ daughter->noLifeTime();
+ lep->noLifeTime();
+ trino->noLifeTime();
+
+ //Initial particle is unpolarized, well it is a scalar so it is
+ //trivial
+ EvtSpinDensity rho;
+ rho.setDiag(root_part->getSpinStates());
+
+ double mass[3];
+
+ double m = root_part->mass();
+
+ EvtVector4R p4meson, p4lepton, p4nu, p4w;
+ double q2max;
+
+ double q2, elepton, plepton;
+ int i,j;
+ double erho,prho,costl;
+
+ double maxfoundprob = 0.0;
+ double prob = -10.0;
+ int massiter;
+
+ for (massiter=0;massiter<3;massiter++){
+
+ mass[0] = EvtPDL::getMeanMass(meson);
+ mass[1] = EvtPDL::getMeanMass(lepton);
+ mass[2] = EvtPDL::getMeanMass(nudaug);
+ if ( massiter==1 ) {
+ mass[0] = EvtPDL::getMinMass(meson);
+ }
+ if ( massiter==2 ) {
+ mass[0] = EvtPDL::getMaxMass(meson);
+ if ( (mass[0]+mass[1]+mass[2])>m) mass[0]=m-mass[1]-mass[2]-0.00001;
+ }
+
+ q2max = (m-mass[0])*(m-mass[0]);
+
+ //loop over q2
+
+ for (i=0;i<25;i++) {
+ q2 = ((i+0.5)*q2max)/25.0;
+
+ erho = ( m*m + mass[0]*mass[0] - q2 )/(2.0*m);
+
+ prho = sqrt(erho*erho-mass[0]*mass[0]);
+
+ p4meson.set(erho,0.0,0.0,-1.0*prho);
+ p4w.set(m-erho,0.0,0.0,prho);
+
+ //This is in the W rest frame
+ elepton = (q2+mass[1]*mass[1])/(2.0*sqrt(q2));
+ plepton = sqrt(elepton*elepton-mass[1]*mass[1]);
+
+ double probctl[3];
+
+ for (j=0;j<3;j++) {
+
+ costl = 0.99*(j - 1.0);
+
+ //These are in the W rest frame. Need to boost out into
+ //the B frame.
+ p4lepton.set(elepton,0.0,
+ plepton*sqrt(1.0-costl*costl),plepton*costl);
+ p4nu.set(plepton,0.0,
+ -1.0*plepton*sqrt(1.0-costl*costl),-1.0*plepton*costl);
+
+ EvtVector4R boost((m-erho),0.0,0.0,1.0*prho);
+ p4lepton=boostTo(p4lepton,boost);
+ p4nu=boostTo(p4nu,boost);
+
+ //Now initialize the daughters...
+
+ daughter->init(meson,p4meson);
+ lep->init(lepton,p4lepton);
+ trino->init(nudaug,p4nu);
+
+ calcamp->CalcAmp(root_part,amp,FormFactors);
+
+ EvtPoint1D *point = new EvtPoint1D(mass[0]);
+
+ double meson_BWAmp = calBreitWigner(daughter, *point);
+
+ int list[2];
+ list[0]=0; list[1]=0;
+ amp.vertex(0,0,amp.getAmp(list)*meson_BWAmp);
+ list[0]=0; list[1]=1;
+ amp.vertex(0,1,amp.getAmp(list)*meson_BWAmp);
+
+ list[0]=1; list[1]=0;
+ amp.vertex(1,0,amp.getAmp(list)*meson_BWAmp);
+ list[0]=1; list[1]=1;
+ amp.vertex(1,1,amp.getAmp(list)*meson_BWAmp);
+
+ list[0]=2; list[1]=0;
+ amp.vertex(2,0,amp.getAmp(list)*meson_BWAmp);
+ list[0]=2; list[1]=1;
+ amp.vertex(2,1,amp.getAmp(list)*meson_BWAmp);
+
+ //Now find the probability at this q2 and cos theta lepton point
+ //and compare to maxfoundprob.
+
+ //Do a little magic to get the probability!!
+ prob = rho.normalizedProb(amp.getSpinDensity());
+
+ probctl[j]=prob;
+ }
+
+ //probclt contains prob at ctl=-1,0,1.
+ //prob=a+b*ctl+c*ctl^2
+
+ double a=probctl[1];
+ double b=0.5*(probctl[2]-probctl[0]);
+ double c=0.5*(probctl[2]+probctl[0])-probctl[1];
+
+ prob=probctl[0];
+ if (probctl[1]>prob) prob=probctl[1];
+ if (probctl[2]>prob) prob=probctl[2];
+
+ if (fabs(c)>1e-20){
+ double ctlx=-0.5*b/c;
+ if (fabs(ctlx)<1.0){
+ double probtmp=a+b*ctlx+c*ctlx*ctlx;
+ if (probtmp>prob) prob=probtmp;
+ }
+
+ }
+
+ //report(DEBUG,"EvtGen") << "prob,probctl:"<<prob<<" "
+ // << probctl[0]<<" "
+ // << probctl[1]<<" "
+ // << probctl[2]<<endl;
+
+ if ( prob > maxfoundprob ) {
+ maxfoundprob = prob;
+ }
+
+ }
+ if ( EvtPDL::getWidth(meson) <= 0.0 ) {
+ //if the particle is narrow dont bother with changing the mass.
+ massiter = 4;
+ }
+
+ }
+ root_part->deleteTree();
+
+ maxfoundprob *=1.1;
+ return maxfoundprob;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtPropSLPole.hh
+//
+// Description:Semileptonic decays with pole form form factors
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPROPSLPOLE_HH
+#define EVTPROPSLPOLE_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+#include "EvtGenBase/EvtPoint1D.hh"
+
+class Evtparticle;
+
+class EvtPropSLPole:public EvtDecayAmp {
+
+public:
+
+ EvtPropSLPole() {}
+ virtual ~EvtPropSLPole();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+ double calBreitWigner(EvtParticle *pmeson, EvtPoint1D point);
+ double calBreitWignerBasic(double maxMass);
+
+ double calcMaxProb( EvtId parent, EvtId meson, EvtId lepton, EvtId nudaug, EvtSemiLeptonicFF *FormFactors );
+
+private:
+
+ bool _includeDecayFact;
+ bool _includeBirthFact;
+ double _mass;
+ double _massMin;
+ double _massMax;
+ double _width;
+ double _maxRange;
+ EvtSpinType::spintype _spin;
+
+ double _blatt;
+ bool _isProbMaxSet;
+
+ EvtSemiLeptonicFF *SLPoleffmodel;
+ EvtSemiLeptonicAmp *calcamp;
+};
+
+#endif
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtPto3P.cc,v 1.13 2004/12/21 22:16:05 ryd Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtPto3P.hh"
+#include "EvtGenBase/EvtPto3PAmpFactory.hh"
+using namespace EvtCyclic3;
+
+EvtDalitzPlot EvtPto3P::dp()
+{
+ // There must be 3 daughters. All particles must be pseudoscalars.
+ // Charge must be conserved. Number of arguments must be non-zero.
+
+ EvtId parent = getParentId();
+ assert(getNDaug() == 3);
+ EvtId dau0 = getDaug(0);
+ EvtId dau1 = getDaug(1);
+ EvtId dau2 = getDaug(2);
+
+ assert(EvtPDL::getSpinType(parent) == EvtSpinType::SCALAR);
+ assert(EvtPDL::getSpinType(dau0) == EvtSpinType::SCALAR);
+ assert(EvtPDL::getSpinType(dau1) == EvtSpinType::SCALAR);
+ assert(EvtPDL::getSpinType(dau2) == EvtSpinType::SCALAR);
+ assert(EvtPDL::chg3(parent) == EvtPDL::chg3(dau0) + EvtPDL::chg3(dau1) + EvtPDL::chg3(dau2));
+ assert(getNArg() > 0);
+
+ return EvtDalitzPlot(EvtPDL::getMass(dau0),EvtPDL::getMass(dau1),EvtPDL::getMass(dau2),EvtPDL::getMass(parent));
+}
+
+EvtAmpFactory<EvtDalitzPoint>* EvtPto3P::createFactory(const EvtMultiChannelParser& parser)
+{
+ // Compute the interval size
+
+ EvtDalitzPlot plot = dp();
+ EvtAmpFactory<EvtDalitzPoint>* fact = new EvtPto3PAmpFactory(plot);
+ fact->build(parser,10000);
+ return fact;
+}
+
+
+std::vector<EvtVector4R> EvtPto3P::initDaughters(const EvtDalitzPoint& x) const
+{
+ std::vector<EvtVector4R> v;
+ assert(x.isValid());
+
+ // Calculate in the r.f. of AB
+
+ double eA = x.e(A,AB);
+ double eB = x.e(B,AB);
+ double eC = x.e(C,AB);
+ double pA = x.p(A,AB);
+ double pC = x.p(C,AB);
+ double cos = x.cosTh(CA,AB);
+ double sin = sqrt(1.0-cos*cos);
+
+ EvtVector4R vA(eA,0,0,pA);
+ EvtVector4R vB(eB,0,0,-pA);
+ EvtVector4R vC(eC,0,pC*sin,pC*cos);
+
+ // Boost from rest frame of AB to rest-frame of decaying particle
+ // vboost is the 4-momentum of frame being boosted from in the frame
+ // being boosted into.
+
+ EvtVector4R vboost = vA + vB + vC;
+ vboost.set(1,-vboost.get(1));
+ vboost.set(2,-vboost.get(2));
+ vboost.set(3,-vboost.get(3));
+ vA.applyBoostTo(vboost);
+ vB.applyBoostTo(vboost);
+ vC.applyBoostTo(vboost);
+
+ // Rotate
+
+ double alpha = EvtRandom::Flat( EvtConst::twoPi );
+ double beta = acos(EvtRandom::Flat( -1.0, 1.0 ));
+ double gamma = EvtRandom::Flat( EvtConst::twoPi );
+
+ vA.applyRotateEuler( alpha, beta, gamma );
+ vB.applyRotateEuler( alpha, beta, gamma );
+ vC.applyRotateEuler( alpha, beta, gamma );
+
+ // Fill vector
+
+ assert(v.size() == 0);
+ v.push_back(vA);
+ v.push_back(vB);
+ v.push_back(vC);
+
+ return v;
+}
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+// $Id: EvtPto3P.hh,v 1.7 2006/10/02 01:07:49 lange Exp $
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module creator:
+// Alexei Dvoretskii, Caltech, 2001-2002.
+//-----------------------------------------------------------------------
+
+#ifndef EVT_PTO3P_HH
+#define EVT_PTO3P_HH
+
+#include <vector>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtIntervalDecayAmp.hh"
+#include "EvtGenBase/EvtDalitzPoint.hh"
+
+
+class EvtPto3P : public EvtIntervalDecayAmp<EvtDalitzPoint> {
+
+public:
+
+ EvtPto3P() {}
+ virtual ~EvtPto3P() {}
+ std::string getName() { return "PTO3P"; }
+ EvtDecayBase* clone() { return new EvtPto3P(); }
+
+
+ virtual EvtAmpFactory<EvtDalitzPoint>* createFactory(const EvtMultiChannelParser& parser);
+ virtual std::vector<EvtVector4R> initDaughters(const EvtDalitzPoint& p) const;
+
+ EvtDalitzPlot dp();
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPycont.cc
+//
+// Description: Routine to generate e+e- --> q\barq via Jetset
+//
+// Modification history:
+//
+// PCK August 4, 1997 Module created
+// RS October 28, 2002 copied from EvtJscont.cc
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtDecayBase.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtPyGaGa.hh"
+#include "EvtGenModels/EvtPythia.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string.h>
+#include <iostream>
+
+extern "C" {
+ extern void pystat_(int &);
+}
+
+extern struct
+{
+ int dc[18];
+} decaych_;
+
+EvtPyGaGa::~EvtPyGaGa()
+{
+ int i=1;
+ pystat_(i);
+}
+
+std::string EvtPyGaGa::getName()
+{
+ return "PYGAGA";
+}
+
+EvtDecayBase* EvtPyGaGa::clone()
+{
+ return new EvtPyGaGa;
+}
+
+void EvtPyGaGa::init()
+{
+ // check that there are 1 argument
+ checkNArg(0);
+ for( int i=0; i<18; i++)
+ decaych_.dc[i]=0;
+}
+
+void EvtPyGaGa::initProbMax()
+{
+ noProbMax();
+}
+
+void EvtPyGaGa::decay( EvtParticle *p)
+{
+ EvtPythia::pythiaInit(1);
+ EvtVector4R p4[100];
+
+ double energy=p->mass();
+
+ int i,more;
+ int ndaugjs;
+ int kf[100];
+ EvtId id[100];
+ int type[MAX_DAUG];
+
+ double px[100],py[100],pz[100],e[100];
+
+ if ( p->getNDaug() != 0 ) { return;}
+ do{
+ EvtPythia::pythiacont(&energy,&ndaugjs,kf,px,py,pz,e);
+
+ for(i=0;i<ndaugjs;i++)
+ {
+
+ id[i]=EvtPDL::evtIdFromStdHep(kf[i]);
+
+ type[i]=EvtPDL::getSpinType(id[i]);
+
+ // have to protect against negative mass^2 for massless particles
+ // i.e. neutrinos and photons.
+ // this is uggly but I need to fix it right now....
+
+ if (px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i]>=e[i]*e[i])
+ e[i]=sqrt(px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i])+0.0000000000001;
+
+ p4[i].set(e[i],px[i],py[i],pz[i]);
+
+ }
+
+ int channel=EvtDecayTable::inChannelList(p->getId(),ndaugjs,id);
+
+ more=((channel!=-1)&&(channel!=p->getChannel()));
+
+ }while(more);
+
+ p->makeDaughters(ndaugjs,id);
+
+ for(i=0;i<ndaugjs;i++)
+ p->getDaug(i)->init( id[i], p4[i] );
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: BelEvtGen/EvtJscont.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+// RS October 28, 2002 copied from JETSET module
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPYGAGA_HH
+#define EVTPYGAGA_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtPyGaGa:public EvtDecayIncoherent {
+
+public:
+
+ EvtPyGaGa() {}
+ virtual ~EvtPyGaGa();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtPycont.cc
+//
+// Description: Routine to generate e+e- --> q\barq via Jetset
+//
+// Modification history:
+//
+// PCK August 4, 1997 Module created
+// RS October 28, 2002 copied from EvtJscont.cc
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtPycont.hh"
+#include "EvtGenModels/EvtPythia.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+#include <iostream>
+using std::endl;
+
+extern "C" {
+ extern void pystat_(int &);
+}
+
+extern struct
+{
+ int dc[18];
+} decaych_;
+
+
+EvtPycont::~EvtPycont() {
+ // int i=1;
+ // pystat_(i);
+}
+
+std::string EvtPycont::getName()
+{
+ return "PYCONT";
+}
+
+EvtDecayBase* EvtPycont::clone()
+{
+ return new EvtPycont;
+}
+
+void EvtPycont::init()
+{
+ // check that there are 1 argument
+ if ( getNArg() != 12 && getNArg() != 0 ) {
+ report(ERROR,"EvtGen") << "EvtPYCONT expects "
+ << " 12 arguments (d u s c b t e nu_e mu nu_mu tau nu_tau) but found: "
+ << getNArg() <<endl;
+
+ }
+ checkNArg(0,12);
+
+ for( int i=0; i<18; i++)
+ decaych_.dc[i]=0;
+ if ( getNArg() == 12 ) {
+ decaych_.dc[0]=(int)getArg(0);
+ decaych_.dc[1]=(int)getArg(1);
+ decaych_.dc[2]=(int)getArg(2);
+ decaych_.dc[3]=(int)getArg(3);
+ decaych_.dc[4]=(int)getArg(4);
+ decaych_.dc[5]=(int)getArg(5);
+ decaych_.dc[10]=(int)getArg(6);
+ decaych_.dc[11]=(int)getArg(7);
+ decaych_.dc[12]=(int)getArg(8);
+ decaych_.dc[13]=(int)getArg(9);
+ decaych_.dc[14]=(int)getArg(10);
+ decaych_.dc[15]=(int)getArg(11);
+ }
+ else{
+ decaych_.dc[0]=1;
+ decaych_.dc[1]=1;
+ decaych_.dc[2]=1;
+ decaych_.dc[3]=1;
+ }
+
+}
+
+void EvtPycont::initProbMax()
+{
+ noProbMax();
+}
+
+void EvtPycont::decay( EvtParticle *p)
+{
+ EvtPythia::pythiaInit(0);
+ EvtVector4R p4[100];
+
+ double energy=p->mass();
+
+ int i,more;
+ int ndaugjs;
+ int kf[100];
+ EvtId id[100];
+ int type[MAX_DAUG];
+
+ double px[100],py[100],pz[100],e[100];
+
+ if ( p->getNDaug() != 0 ) { return;}
+ do{
+ EvtPythia::pythiacont(&energy,&ndaugjs,kf,px,py,pz,e);
+
+ for(i=0;i<ndaugjs;i++)
+ {
+
+ id[i]=EvtPDL::evtIdFromStdHep(kf[i]);
+
+ type[i]=EvtPDL::getSpinType(id[i]);
+
+ // have to protect against negative mass^2 for massless particles
+ // i.e. neutrinos and photons.
+ // this is uggly but I need to fix it right now....
+
+ if (px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i]>=e[i]*e[i])
+ e[i]=sqrt(px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i])+0.0000000000001;
+
+ p4[i].set(e[i],px[i],py[i],pz[i]);
+
+ }
+
+ int channel=EvtDecayTable::inChannelList(p->getId(),ndaugjs,id);
+
+ more=((channel!=-1)&&(channel!=p->getChannel()));
+
+ }while(more);
+
+ p->makeDaughters(ndaugjs,id);
+
+ for(i=0;i<ndaugjs;i++)
+ p->getDaug(i)->init( id[i], p4[i] );
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See BelEvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: BelEvtGen/EvtJscont.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+// RS October 28, 2002 copied from JETSET module
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPYCONT_HH
+#define EVTPYCONT_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+#include "EvtGenBase/EvtParticle.hh"
+
+class EvtPycont:public EvtDecayIncoherent {
+
+public:
+
+ EvtPycont() {}
+ virtual ~EvtPycont();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See BelEvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtJetSet.cc
+//
+// Description: Routine to use JetSet for decaying particles.
+//
+// Modification history:
+//
+// RYD July 24, 1997 Module created
+// RS October 28, 2002 copied from JETSET module
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtStringParticle.hh"
+#include "EvtGenBase/EvtDecayTable.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtPythia.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <iostream>
+#include <iomanip>
+#include <fstream>
+#include <string.h>
+#include <stdlib.h>
+#include <unistd.h>
+#include <stdio.h>
+using std::endl;
+using std::fstream;
+using std::ios;
+using std::ofstream;
+using std::resetiosflags;
+using std::setiosflags;
+using std::setw;
+
+using std::string;
+
+int EvtPythia::njetsetdecays=0;
+ EvtDecayBasePtr* EvtPythia::jetsetdecays=0;
+int EvtPythia::ntable=0;
+
+int EvtPythia::ncommand=0;
+int EvtPythia::lcommand=0;
+std::string* EvtPythia::commands=0;
+
+
+extern "C" {
+ extern void pycontinuum_(double *,int *, int *,
+ double *,double *,double *,double *);
+}
+
+extern "C" {
+ extern void evtpythiainit_(const char* fname, int len);
+}
+
+extern "C" {
+ extern void init_cont_();
+}
+
+extern "C" {
+ extern void pythiadec_(int *,double *,int *,int *,int *,
+ double *,double *,double *,double *);
+}
+
+extern "C" {
+ extern void initpythia_(int *);
+}
+
+extern "C" {
+ extern void pygive_(const char *cnfgstr,int length);
+}
+
+extern "C" {
+ extern int pycomp_(int* kf);
+}
+
+extern "C" {
+ extern void pylist_(int &);
+}
+
+
+EvtPythia::EvtPythia(){}
+
+EvtPythia::~EvtPythia(){
+
+
+ int i;
+
+
+ //the deletion of commands is really uggly!
+
+ if (njetsetdecays==0) {
+ delete [] commands;
+ commands=0;
+ return;
+ }
+
+ for(i=0;i<njetsetdecays;i++){
+ if (jetsetdecays[i]==this){
+ jetsetdecays[i]=jetsetdecays[njetsetdecays-1];
+ njetsetdecays--;
+ if (njetsetdecays==0) {
+ delete [] commands;
+ commands=0;
+ }
+ return;
+ }
+ }
+
+ report(ERROR,"EvtGen") << "Error in destroying Pythia model!"<<endl;
+
+}
+
+
+std::string EvtPythia::getName(){
+
+ return "PYTHIA";
+
+}
+
+EvtDecayBase* EvtPythia::clone(){
+
+ return new EvtPythia;
+
+}
+
+
+void EvtPythia::initProbMax(){
+
+ noProbMax();
+
+}
+
+
+void EvtPythia::init(){
+
+ checkNArg(1);
+
+
+ if (getParentId().isAlias()){
+
+ report(ERROR,"EvtGen") << "EvtPythia finds that you are decaying the"<<endl
+ << " aliased particle "
+ << EvtPDL::name(getParentId()).c_str()
+ << " with the Pythia model"<<endl
+ << " this does not work, please modify decay table."
+ << endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+ store(this);
+
+}
+
+
+std::string EvtPythia::commandName(){
+
+ return std::string("JetSetPar");
+
+}
+
+
+void EvtPythia::command(std::string cmd){
+
+ if (ncommand==lcommand){
+
+ lcommand=10+2*lcommand;
+
+ std::string* newcommands=new std::string[lcommand];
+
+ int i;
+
+ for(i=0;i<ncommand;i++){
+ newcommands[i]=commands[i];
+ }
+
+ delete [] commands;
+
+ commands=newcommands;
+
+ }
+
+ commands[ncommand]=cmd;
+
+ ncommand++;
+
+}
+
+void EvtPythia::pythiacont(double *energy, int *ndaugjs, int *kf,
+ double *px, double *py, double *pz, double *e)
+{
+ pycontinuum_(energy,ndaugjs,kf,px,py,pz,e);
+}
+
+
+
+void EvtPythia::decay( EvtParticle *p){
+
+
+ //added by Lange Jan4,2000
+ static EvtId STRNG=EvtPDL::getId("string");
+
+ int istdheppar=EvtPDL::getStdHep(p->getId());
+
+ if (pycomp_(&istdheppar)==0){
+ report(ERROR,"EvtGen") << "Pythia can not decay:"
+ <<EvtPDL::name(p->getId()).c_str()<<endl;
+ return;
+ }
+
+ double mp=p->mass();
+
+ EvtVector4R p4[20];
+
+ int i,more;
+ int ip=EvtPDL::getStdHep(p->getId());
+ int ndaugjs;
+ int kf[100];
+ EvtId evtnumstable[100],evtnumparton[100];
+ int stableindex[100],partonindex[100];
+ int numstable;
+ int numparton;
+ int km[100];
+ EvtId type[MAX_DAUG];
+
+ pythiaInit(0);
+
+ double px[100],py[100],pz[100],e[100];
+ if ( p->getNDaug() != 0 ) { p->deleteDaughters(true);}
+
+ int count=0;
+
+ do{
+
+ pythiadec_(&ip,&mp,&ndaugjs,kf,km,px,py,pz,e);
+
+
+ numstable=0;
+ numparton=0;
+
+ for(i=0;i<ndaugjs;i++){
+
+ if (EvtPDL::evtIdFromStdHep(kf[i])==EvtId(-1,-1)) {
+ report(ERROR,"EvtGen") << "Pythia returned particle:"<<kf[i]<<endl;
+ report(ERROR,"EvtGen") << "This can not be translated to evt number"<<endl;
+ report(ERROR,"EvtGen") << "and the decay will be rejected!"<<endl;
+ report(ERROR,"EvtGen") << "The decay was of particle:"<<ip<<endl;
+ int i=1;
+ pylist_(i);
+ }
+
+ //sort out the partons
+ if (abs(kf[i])<=6||kf[i]==21){
+ partonindex[numparton]=i;
+ evtnumparton[numparton]=EvtPDL::evtIdFromStdHep(kf[i]);
+ numparton++;
+ }
+ else{
+ stableindex[numstable]=i;
+ evtnumstable[numstable]=EvtPDL::evtIdFromStdHep(kf[i]);
+ numstable++;
+ }
+
+
+ // have to protect against negative mass^2 for massless particles
+ // i.e. neutrinos and photons.
+ // this is uggly but I need to fix it right now....
+
+ if (px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i]>=e[i]*e[i]){
+
+ e[i]=sqrt(px[i]*px[i]+py[i]*py[i]+pz[i]*pz[i])+0.0000000000001;
+
+ }
+
+ p4[i].set(e[i],px[i],py[i],pz[i]);
+
+
+ }
+
+ int channel=EvtDecayTable::inChannelList(p->getId(),numstable,evtnumstable);
+
+
+ more=(channel!=-1);
+
+
+
+
+ count++;
+
+ }while( more && (count<10000) );
+
+ if (count>9999) {
+ report(INFO,"EvtGen") << "Too many loops in EvtPythia!!!"<<endl;
+ report(INFO,"EvtGen") << "Parent:"<<EvtPDL::name(getParentId()).c_str()<<endl;
+ for(i=0;i<numstable;i++){
+ report(INFO,"EvtGen") << "Daug("<<i<<")"<<EvtPDL::name(evtnumstable[i]).c_str()<<endl;
+ }
+
+ }
+
+
+
+ if (numparton==0){
+
+ p->makeDaughters(numstable,evtnumstable);
+
+ for(i=0;i<numstable;i++){
+ p->getDaug(i)->init(evtnumstable[i],p4[stableindex[i]]);
+ }
+
+ fixPolarizations(p);
+
+ return ;
+
+ }
+ else{
+
+ //have partons in JETSET
+
+ EvtVector4R p4string(0.0,0.0,0.0,0.0);
+
+ for(i=0;i<numparton;i++){
+ p4string+=p4[partonindex[i]];
+ }
+
+ int nprimary=1;
+ type[0]=STRNG;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]==0){
+ type[nprimary++]=evtnumstable[i];
+ }
+ }
+
+ p->makeDaughters(nprimary,type);
+
+ p->getDaug(0)->init(STRNG,p4string);
+
+ EvtVector4R p4partons[10];
+
+ for(i=0;i<numparton;i++){
+ p4partons[i]=p4[partonindex[i]];
+ }
+
+ ((EvtStringParticle*)p->getDaug(0))->initPartons(numparton,p4partons,evtnumparton);
+
+
+
+ nprimary=1;
+
+ for(i=0;i<numstable;i++){
+
+ if (km[stableindex[i]]==0){
+ p->getDaug(nprimary++)->init(evtnumstable[i],p4[stableindex[i]]);
+ }
+ }
+
+
+ int nsecond=0;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]!=0){
+ type[nsecond++]=evtnumstable[i];
+ }
+ }
+
+
+ p->getDaug(0)->makeDaughters(nsecond,type);
+
+ nsecond=0;
+ for(i=0;i<numstable;i++){
+ if (km[stableindex[i]]!=0){
+ p4[stableindex[i]]=boostTo(p4[stableindex[i]],p4string);
+ p->getDaug(0)->getDaug(nsecond)->init(evtnumstable[i],p4[stableindex[i]]);
+ p->getDaug(0)->getDaug(nsecond)->setDiagonalSpinDensity();
+ p->getDaug(0)->getDaug(nsecond)->decay();
+ nsecond++;
+ }
+ }
+
+ fixPolarizations(p);
+
+ return ;
+
+ }
+
+}
+
+void EvtPythia::fixPolarizations(EvtParticle *p){
+
+ //special case for now to handle the J/psi polarization
+
+ int ndaug=p->getNDaug();
+
+ int i;
+
+ static EvtId Jpsi=EvtPDL::getId("J/psi");
+
+ for(i=0;i<ndaug;i++){
+ if(p->getDaug(i)->getId()==Jpsi){
+
+ EvtSpinDensity rho;
+
+ rho.setDim(3);
+ rho.set(0,0,0.5);
+ rho.set(0,1,0.0);
+ rho.set(0,2,0.0);
+
+ rho.set(1,0,0.0);
+ rho.set(1,1,1.0);
+ rho.set(1,2,0.0);
+
+ rho.set(2,0,0.0);
+ rho.set(2,1,0.0);
+ rho.set(2,2,0.5);
+
+ EvtVector4R p4Psi=p->getDaug(i)->getP4();
+
+ double alpha=atan2(p4Psi.get(2),p4Psi.get(1));
+ double beta=acos(p4Psi.get(3)/p4Psi.d3mag());
+
+
+ p->getDaug(i)->setSpinDensityForwardHelicityBasis(rho,alpha,beta,0.0);
+ setDaughterSpinDensity(i);
+
+ }
+ }
+
+}
+
+void EvtPythia::store(EvtDecayBase* jsdecay){
+
+ if (njetsetdecays==ntable){
+
+ EvtDecayBasePtr* newjetsetdecays=new EvtDecayBasePtr[2*ntable+10];
+ int i;
+ for(i=0;i<ntable;i++){
+ newjetsetdecays[i]=jetsetdecays[i];
+ }
+ ntable=2*ntable+10;
+ delete [] jetsetdecays;
+ jetsetdecays=newjetsetdecays;
+ }
+
+ jetsetdecays[njetsetdecays++]=jsdecay;
+
+
+
+}
+
+
+void EvtPythia::WritePythiaEntryHeader(ofstream &outdec, int lundkc,
+ EvtId evtnum,std::string name,
+ int chg, int cchg, int spin2,double mass,
+ double width, double maxwidth,double ctau,
+ int stable,double rawbrfrsum){
+
+ char sname[100];
+ char ccsname[100];
+
+ // RS changed to 16, new PYTHIA standard
+ int namelength=16;
+
+ int i,j;
+ int temp;
+ temp = spin2;
+
+ if (ctau>1000000.0) ctau=0.0;
+
+ strcpy(sname,name.c_str());
+
+ i=0;
+
+ while (sname[i]!=0){
+ i++;
+ }
+
+ // strip up to two + or -
+
+ if(evtnum.getId()>=0) {
+ if (sname[i-1]=='+'||sname[i-1]=='-'){
+ sname[i-1]=0;
+ i--;
+ }
+ if (sname[i-1]=='+'||sname[i-1]=='-'){
+ sname[i-1]=0;
+ i--;
+ }
+ // strip 0 except for _0 and chi...0
+ if (sname[i-1]=='0' && sname[i-2]!='_' && !(sname[0]=='c' && sname[1]=='h')){
+ sname[i-1]=0;
+ i--;
+ }
+ }
+
+ if (i>namelength) {
+ for(j=1;j<namelength;j++){
+ sname[j]=sname[j+i-namelength];
+ }
+ sname[namelength]=0;
+ }
+
+ // RS: copy name for cc particle
+ for(j=0;j<=namelength;j++)
+ ccsname[j]=sname[j];
+ i=0;
+ while (ccsname[i]!=' '){
+ i++;
+ if(ccsname[i]==0) break;
+ }
+ if(i<namelength)
+ {
+ ccsname[i]='b';
+ ccsname[i+1]=0;
+ }
+
+ //cchg=0;
+
+ if(evtnum.getId()>=0) {
+ if (abs(EvtPDL::getStdHep(evtnum))==21) cchg=2;
+ if (abs(EvtPDL::getStdHep(evtnum))==90) cchg=-1;
+ if ((abs(EvtPDL::getStdHep(evtnum))<=8)&&
+ (abs(EvtPDL::getStdHep(evtnum))!=0)) cchg=1;
+
+ }
+
+ // RS output format changed to new PYTHIA style
+ outdec << " " << setw(9) << lundkc;
+ outdec << " ";
+ outdec.width(namelength);
+ outdec << setiosflags(ios::left)
+ << sname;
+ // RS: name for cc paricle
+ if ((evtnum.getId()>=0) && (EvtPDL::chargeConj(evtnum)!=evtnum))
+ {
+ outdec << " ";
+ outdec.width(namelength);
+ outdec << ccsname;
+ }else{
+ // 2+16 spaces
+ outdec << " ";
+ }
+
+ outdec << resetiosflags(ios::left);
+ outdec << setw(3) << chg;
+ outdec << setw(3) << cchg;
+ outdec.width(3);
+ if (evtnum.getId()>=0) {
+ if (EvtPDL::chargeConj(evtnum)==evtnum) {
+ outdec << 0;
+ }
+ else{
+ outdec << 1;
+ }
+ }
+ else{
+ outdec << 0;
+ }
+ outdec.setf(ios::fixed,ios::floatfield);
+ outdec.precision(5);
+ outdec << setw(12) << mass;
+ outdec.setf(ios::fixed,ios::floatfield);
+ outdec << setw(12) << width;
+ outdec.setf(ios::fixed,ios::floatfield);
+ outdec.width(12);
+ if (fabs(width)<0.0000000001) {
+ outdec << 0.0 ;
+ }
+ else{
+ outdec << maxwidth;
+ }
+ // scientific notation ... outdec << setw(14) << ctau;
+ outdec.setf(ios::scientific,ios::floatfield);
+ outdec << " ";
+ outdec << ctau;
+ outdec.width(3);
+ if (evtnum.getId()>=0) {
+ if (ctau>1.0 || rawbrfrsum<0.000001) {
+ stable=0;
+ }
+ }
+ //resonance width treatment
+ outdec.width(3);
+ outdec << 0;
+ outdec.width(3);
+ outdec << stable;
+ outdec << endl;
+ outdec.width(0);
+ //outdec.setf(0,0);
+
+}
+
+void EvtPythia::WritePythiaParticle(ofstream &outdec,EvtId ipar,
+ EvtId iparname,int &first){
+
+ int ijetset;
+
+ double br_sum=0.0;
+
+ for(ijetset=0;ijetset<njetsetdecays;ijetset++){
+
+ if (jetsetdecays[ijetset]->getParentId()==ipar){
+ br_sum+=jetsetdecays[ijetset]->getBranchingFraction();
+ }
+ if (jetsetdecays[ijetset]->getParentId()!=
+ EvtPDL::chargeConj(jetsetdecays[ijetset]->getParentId())&&
+ EvtPDL::chargeConj(jetsetdecays[ijetset]->getParentId())==ipar){
+ br_sum+=jetsetdecays[ijetset]->getBranchingFraction();
+ }
+
+
+ }
+
+ double br_sum_true=br_sum;
+
+ if (br_sum<0.000001) br_sum=1.0;
+
+ for(ijetset=0;ijetset<njetsetdecays;ijetset++){
+ if (jetsetdecays[ijetset]->getParentId()==ipar){
+
+ double br=jetsetdecays[ijetset]->getBranchingFraction();
+
+ int i,daugs[5];
+ EvtId cdaugs[5];
+
+ for(i=0;i<5;i++){
+
+ if(i<jetsetdecays[ijetset]->getNDaug()){
+ daugs[i]=EvtPDL::getStdHep(
+ jetsetdecays[ijetset]->getDaugs()[i]);
+ cdaugs[i]=EvtPDL::chargeConj(jetsetdecays[ijetset]->getDaugs()[i]);
+ }
+ else{
+ daugs[i]=0;
+ }
+ }
+
+ int channel;
+
+ channel=EvtDecayTable::findChannel(EvtPDL::chargeConj(ipar),
+ jetsetdecays[ijetset]->getModelName(),
+ jetsetdecays[ijetset]->getNDaug(),
+ cdaugs,
+ jetsetdecays[ijetset]->getNArg(),
+ jetsetdecays[ijetset]->getArgsStr());
+
+ if (jetsetdecays[ijetset]->getModelName()=="PYTHIA"){
+
+ if (first) {
+ first=0;
+ WritePythiaEntryHeader(outdec,
+ //EvtPDL::getLundKC(iparname),
+ EvtPDL::getStdHep(iparname),
+ iparname,
+ EvtPDL::name(iparname),
+ EvtPDL::chg3(iparname),
+ 0,0,EvtPDL::getMeanMass(ipar),
+ EvtPDL::getWidth(ipar),
+ EvtPDL::getMeanMass(ipar)-EvtPDL::getMinMass(ipar),
+ EvtPDL::getctau(ipar),1,br_sum_true);
+ }
+
+ int dflag=2;
+
+ if (EvtPDL::getStdHep(ipar)<0) {
+ dflag=3;
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ daugs[i]=EvtPDL::getStdHep(cdaugs[i]);
+ }
+
+ }
+
+ /* RS
+ PYTHIA allows to introduce new particles via a call to PYUPDA
+ so no need for this check any more
+
+ //now lets check to make sure that jetset, lucomp, knows
+ //about all particles!
+ int unknown=0;
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ if (pycomp_(&daugs[i])==0) {
+ unknown=1;
+ report(ERROR,"EvtGen") << "Pythia (pycomp) does not "
+ << "know the particle:"<<
+ EvtPDL::name(jetsetdecays[ijetset]->getDaugs()[i])<<endl;
+ }
+ }
+
+ int istdheppar=EvtPDL::getStdHep(ipar);
+
+ if (pycomp_(&istdheppar)==0){
+ unknown=1;
+ report(ERROR,"EvtGen") << "Pythia (pycomp) does not "
+ << "know the particle:"<<
+ EvtPDL::name(ipar)<<endl;
+ }
+
+
+
+ if (unknown){
+ report(ERROR,"EvtGen") << "Therfore the decay:"<<endl;
+ report(ERROR,"EvtGen") << EvtPDL::name(jetsetdecays[ijetset]->getParentId())<<" -> ";
+ for(i=0;i<jetsetdecays[ijetset]->getNDaug();i++){
+ report(ERROR,"") << EvtPDL::name(jetsetdecays[ijetset]->getDaugs()[i])<<" ";
+ }
+ report(ERROR,"")<<endl;
+ report(ERROR,"EvtGen")<<"Will not be generated."<<endl;
+ return;
+ }
+ */
+
+ if (EvtPDL::chargeConj(ipar)==ipar) {
+ dflag=1;
+ //report(INFO,"EvtGen") << EvtPDL::name(iparname) << " dflag=1 because C(ipar)=ipar!"<<endl;
+ }
+
+
+ //if (channel>=0) {
+ // dflag=1;
+ //report(INFO,"EvtGen") << EvtPDL::name(iparname) << " dflag=1 because channel>=0"<<endl;
+ //}
+
+ // if (!(EvtPDL::getStdHep(ipar)<0&&channel>=0)){
+ if (1){
+
+ // RS changed format to new PYTHIA one
+ outdec << " ";
+ outdec.width(5);
+ outdec <<dflag;
+ outdec.width(5);
+ outdec <<(int)jetsetdecays[ijetset]->getArgs()[0];
+ outdec.width(12);
+ if (fabs(br)<0.000000001) {
+ outdec <<"0.00000";
+ }
+ else{
+ outdec <<br/br_sum;
+ }
+ outdec.width(10);
+ outdec <<daugs[0];
+ outdec.width(10);
+ outdec <<daugs[1];
+ outdec.width(10);
+ outdec <<daugs[2];
+ outdec.width(10);
+ outdec <<daugs[3];
+ outdec.width(10);
+ outdec <<daugs[4];
+ outdec<<endl;
+ outdec.width(0);
+ }
+ }
+ }
+ }
+}
+
+bool
+EvtPythia::diquark(int ID)
+{
+ switch(ID)
+ {
+ case 1103:
+ case 2101:
+ case 2103:
+ case 2203:
+ case 3101:
+ case 3103:
+ case 3201:
+ case 3203:
+ case 3303:
+ case 4101:
+ case 4103:
+ case 4201:
+ case 4203:
+ case 4301:
+ case 4303:
+ case 4403:
+ case 5101:
+ case 5103:
+ case 5201:
+ case 5203:
+ case 5301:
+ case 5303:
+ case 5401:
+ case 5403:
+ case 5503:
+ return true;
+ break;
+ default:
+ return false;
+ break;
+ }
+}
+
+double
+EvtPythia::NominalMass(int ID)
+{
+ // return default mass in PYTHIA
+ switch(ID)
+ {
+ case 1103:
+ return 0.77133;
+ case 2101:
+ return 0.57933;
+ case 2103:
+ return 0.77133;
+ case 2203:
+ return 0.77133;
+ case 3101:
+ return 0.80473;
+ case 3103:
+ return 0.92953;
+ case 3201:
+ return 0.80473;
+ case 3203:
+ return 0.92953;
+ case 3303:
+ return 1.09361;
+ case 4101:
+ return 1.96908;
+ case 4103:
+ return 2.00808;
+ case 4201:
+ return 1.96908;
+ case 4203:
+ return 2.00808;
+ case 4301:
+ return 2.15432;
+ case 4303:
+ return 2.17967;
+ case 4403:
+ return 3.27531;
+ case 5101:
+ return 5.38897;
+ case 5103:
+ return 5.40145;
+ case 5201:
+ return 5.38897;
+ case 5203:
+ return 5.40145;
+ case 5301:
+ return 5.56725;
+ case 5303:
+ return 5.57536;
+ case 5401:
+ return 6.67143;
+ case 5403:
+ return 6.67397;
+ case 5503:
+ return 10.07354;
+ break;
+ default:
+ return 0.0;
+ break;
+ }
+}
+
+int
+NominalCharge(int ID)
+{
+ // return default mass in PYTHIA
+ switch(ID)
+ {
+ case 1103:
+ return -2;
+ case 2101:
+ return 1;
+ case 2103:
+ return 1;
+ case 2203:
+ return 4;
+ case 3101:
+ return -2;
+ case 3103:
+ return -2;
+ case 3201:
+ return 1;
+ case 3203:
+ return 1;
+ case 3303:
+ return -2;
+ case 4101:
+ return 1;
+ case 4103:
+ return 1;
+ case 4201:
+ return 4;
+ case 4203:
+ return 4;
+ case 4301:
+ return 1;
+ case 4303:
+ return 1;
+ case 4403:
+ return 4;
+ case 5101:
+ return -2;
+ case 5103:
+ return -2;
+ case 5201:
+ return 1;
+ case 5203:
+ return 1;
+ case 5301:
+ return -2;
+ case 5303:
+ return -2;
+ case 5401:
+ return 1;
+ case 5403:
+ return 1;
+ case 5503:
+ return -2;
+ break;
+ default:
+ return 0;
+ break;
+ }
+}
+
+void EvtPythia::MakePythiaFile(char* fname){
+
+ EvtId ipar;
+ int lundkc;
+
+ //int part_list[MAX_PART];
+
+ ofstream outdec;
+
+ outdec.open(fname);
+
+ //outdec << "ERROR;"<<endl;
+ //outdec << ";"<<endl;
+ //outdec << ";This decayfile has been automatically created by"<<endl;
+ //outdec << ";EvtGen from the DECAY.DEC file"<<endl;
+ //outdec << ";"<<endl;
+
+ int nokcentry;
+
+ for(lundkc=1;lundkc<500;lundkc++){
+
+ nokcentry=1;
+
+ for(size_t iipar=0;iipar<EvtPDL::entries();iipar++){
+
+ ipar=EvtId(iipar,iipar);
+ //no aliased particles!
+ std::string tempStr = EvtPDL::name(ipar);
+ EvtId realId = EvtPDL::getId(tempStr);
+ if ( realId.isAlias() != 0 ) continue;
+
+ if(!(
+ EvtPDL::getStdHep(ipar)==21 ||
+ EvtPDL::getStdHep(ipar)==22 ||
+ EvtPDL::getStdHep(ipar)==23))
+ {
+
+ if (lundkc==EvtPDL::getLundKC(ipar)){
+
+ nokcentry=0;
+
+ int first=1;
+
+ WritePythiaParticle(outdec,ipar,ipar,first);
+
+
+ EvtId ipar2=EvtPDL::chargeConj(ipar);
+
+
+ if (ipar2!=ipar){
+ WritePythiaParticle(outdec,ipar2,ipar,first);
+ }
+
+ if (first){
+ WritePythiaEntryHeader(outdec,
+ //EvtPDL::getLundKC(ipar),
+ EvtPDL::getStdHep(ipar),
+ ipar,
+ EvtPDL::name(ipar),
+ EvtPDL::chg3(ipar),
+ 0,0,EvtPDL::getMeanMass(ipar),
+ EvtPDL::getWidth(ipar),
+ EvtPDL::getMeanMass(ipar)-EvtPDL::getMinMass(ipar),
+ EvtPDL::getctau(ipar),0,0.0);
+
+ }
+ }
+ }
+ }
+ if (lundkc==99999) // Write out diquarks after quarks, but only once
+ for(size_t iipar=0;iipar<EvtPDL::entries();iipar++){
+
+ ipar=EvtId(iipar,iipar);
+
+ if (diquark(EvtPDL::getStdHep(ipar))){
+
+ nokcentry=0;
+
+ int first=1;
+
+ WritePythiaParticle(outdec,ipar,ipar,first);
+
+
+ EvtId ipar2=EvtPDL::chargeConj(ipar);
+
+
+ if (ipar2!=ipar){
+ WritePythiaParticle(outdec,ipar2,ipar,first);
+ }
+
+ if (first){
+ WritePythiaEntryHeader(outdec,
+ EvtPDL::getStdHep(ipar),
+ ipar,
+ EvtPDL::name(ipar),
+ NominalCharge(EvtPDL::getStdHep(ipar)),
+ -1,0,
+ NominalMass(EvtPDL::getStdHep(ipar)),
+ 0, 0, 0, 0,0.0);
+
+ }
+ }
+ }
+ /* if (nokcentry){
+
+ WritePythiaEntryHeader(outdec,
+ lundkc,EvtId(-1,-1)," ",
+ 0,0,0,EvtPDL::getNominalMass(ipar),0.0,0.0,
+ EvtPDL::getctau(ipar),0,0.0);
+
+ } */
+ }
+ outdec.close();
+}
+
+void EvtPythia::pythiaInit(int dummy){
+
+ //static int first=1;
+ static int first=0; //if first=0 Pythia is not reinitialize
+ if (first){
+
+ first=0;
+
+ report(INFO,"EvtGen") << "Will initialize Pythia."<<endl;
+ for(int i=0;i<ncommand;i++)
+ pygive_(commands[i].c_str(),strlen(commands[i].c_str()));
+
+ char fname[200];
+
+ char hostBuffer[100];
+
+ if ( gethostname( hostBuffer, 100 ) != 0 ){
+ report(ERROR,"EvtGen") << " couldn't get hostname." << endl;
+ strncpy( hostBuffer, "hostnameNotFound", 100 );
+ }
+
+ char pid[100];
+
+ int thePid=getpid();
+
+ if ( sprintf( pid, "%d", thePid ) == 0 ){
+ report(ERROR,"EvtGen") << " couldn't get process ID." << endl;
+ strncpy( pid, "666", 100 );
+ }
+
+ strcpy(fname,"jet.d-");
+ strcat(fname,hostBuffer);
+ strcat(fname,"-");
+ strcat(fname,pid);
+
+ MakePythiaFile(fname);
+ evtpythiainit_(fname,strlen(fname));
+ initpythia_(&dummy);
+
+ if (0==getenv("EVTSAVEJETD")){
+ char delcmd[300];
+ strcpy(delcmd,"rm -f ");
+ strcat(delcmd,fname);
+ system(delcmd);
+ }
+
+ report(INFO,"EvtGen") << "Done initializing Pythia."<<endl;
+
+ }
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See BelEvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: BelEvtGen/EvtJetSet.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+// RS October 28, 2002 copied from JETSET module
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTPYTHIA_HH
+#define EVTPYTHIA_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include <string>
+
+#include <iosfwd>
+
+typedef EvtDecayBase* EvtDecayBasePtr;
+
+class EvtPythia:public EvtDecayIncoherent {
+
+public:
+
+ EvtPythia();
+ virtual ~EvtPythia();
+
+ std::string getName();
+ EvtDecayBase* clone();
+ void decay(EvtParticle *p);
+
+ std::string commandName();
+ void command(std::string cmd);
+
+ void init();
+
+ void initProbMax();
+
+ //initialize jetset; sets up decay table and
+ //paramters. Static so it can be invoked from
+ //from EvtJscont.
+ static void pythiaInit(int f);
+ static void pythiacont(double *,int *, int *,
+ double *,double *,double *,double *);
+
+private:
+
+ void store(EvtDecayBase* jsdecay);
+ void fixPolarizations(EvtParticle* p);
+ static void MakePythiaFile(char* fname);
+ static void WritePythiaParticle(std::ofstream &outdec,EvtId ipar,EvtId iparname,int &first);
+ static void WritePythiaEntryHeader(std::ofstream &outdec, int lundkc,
+ EvtId evtnum,std::string name,
+ int chg, int cchg, int spin2,double mass,
+ double width, double maxwidth,double ctau,
+ int stable,double rawbrfrsum);
+ static bool diquark(int);
+ static double NominalMass(int);
+ static int njetsetdecays;
+ static EvtDecayBasePtr* jetsetdecays;
+ static int ntable;
+
+ static int ncommand;
+ static int lcommand;
+ static std::string* commands;
+};
+
+#endif
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSLBKPole.cc
+//
+// Description: Routine to implement semileptonic decays according
+// to light cone sum rules
+//
+// Modification history:
+//
+// liheng October 20, 2005 Module created
+//
+//------------------------------------------------------------------------
+//
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSLBKPole.hh"//modified
+#include "EvtGenModels/EvtSLBKPoleFF.hh"//modified
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicTensorAmp.hh"
+#include <string>
+
+EvtSLBKPole::~EvtSLBKPole() {}
+
+std::string EvtSLBKPole::getName(){
+
+ return "SLBKPOLE";//modified
+
+}
+
+
+EvtDecayBase* EvtSLBKPole::clone(){//modified
+
+ return new EvtSLBKPole;
+
+}
+
+void EvtSLBKPole::decay( EvtParticle *p ){//modified
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ calcamp->CalcAmp(p,_amp2,SLBKPoleffmodel);//modified
+ return;
+}
+
+void EvtSLBKPole::initProbMax(){
+
+EvtId parnum,mesnum,lnum,nunum;
+
+parnum = getParentId();
+mesnum = getDaug(0);
+lnum = getDaug(1);
+nunum = getDaug(2);
+
+double mymaxprob = calcamp->CalcMaxProb(parnum,mesnum,
+ lnum,nunum,SLBKPoleffmodel);//modified
+
+setProbMax(mymaxprob);
+
+}
+
+
+void EvtSLBKPole::init(){//modified
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(getDaug(0));
+
+ SLBKPoleffmodel = new EvtSLBKPoleFF(getNArg(),getArgs());//modified
+
+ if ( mesontype==EvtSpinType::SCALAR ) {
+ calcamp = new EvtSemiLeptonicScalarAmp;
+ }
+ if ( mesontype==EvtSpinType::VECTOR ) {
+ calcamp = new EvtSemiLeptonicVectorAmp;
+ }
+ if ( mesontype==EvtSpinType::TENSOR ) {
+ calcamp = new EvtSemiLeptonicTensorAmp;
+ }
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSLBKPole.hh
+//
+// Description:Semileptonic decays with pole form form factors,
+// according to Becirevic and Kaidalov(BK)
+//
+// Modification history:
+//
+// liheng October 20, 2005 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSLBKPOLE_HH//modified
+#define EVTSLBKPOLE_HH//modified
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"//modified
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class Evtparticle;
+
+class EvtSLBKPole:public EvtDecayAmp {
+
+public:
+
+ EvtSLBKPole() {}//modified
+ virtual ~EvtSLBKPole();//modified
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+private:
+ EvtSemiLeptonicFF *SLBKPoleffmodel;//modified
+ EvtSemiLeptonicAmp *calcamp;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSLBKPoleFF.cc
+//
+// Description: Routine to implement semileptonic form factors
+// according to the model SLBKPoles
+//
+// Modification history:
+//
+// liheng October 20,2005 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSLBKPoleFF.hh"//modified
+#include <string>
+#include "EvtGenBase/EvtPDL.hh"
+#include <math.h>
+#include <stdlib.h>
+
+EvtSLBKPoleFF::EvtSLBKPoleFF(int numarg, double *arglist) {//modified
+ numSLBKPoleargs = numarg;//modified
+ for (int i=0; i<numarg; i++) {
+ SLBKPoleargs[i] = arglist[i]; }//modified
+
+ return;
+}
+
+
+void EvtSLBKPoleFF::getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *fpf,
+ double *f0f ) {
+
+// Form factors have a general form, with parameters passed in
+// from the arguments.
+
+ if ( numSLBKPoleargs != 4 ) {//modified
+ report(ERROR,"EvtGen") << "Problem in EvtSLBKPoleFF::getscalarff\n";
+ report(ERROR,"EvtGen") << "wrong number of arguments!\n";
+ report(ERROR,"EvtGen") << "number args:"<<numSLBKPoleargs<<" (expected 4)\n";
+ report(ERROR,"EvtGen") << "Parent:"<<EvtPDL::name(parent)<<"\n";
+ report(ERROR,"EvtGen") << "Daughter:"<<EvtPDL::name(daught)<<"\n";
+
+ }
+
+
+ double f0,af,powf;
+
+ //double a_0, a_1, a_2, a_3, a_4, a_5, a_6, a_7;
+
+ f0 = SLBKPoleargs[0];//f0
+ af = SLBKPoleargs[1];//alpha
+ //bf = SLBKPoleargs[2];
+ double mass_star2 = SLBKPoleargs[3]*SLBKPoleargs[3];
+ powf = 1.0;
+ *fpf = f0/(pow( 1.0 - (1.0+af)*(t/mass_star2) + (af*((t/mass_star2)*(t/mass_star2))),powf));//modified
+
+ f0 = SLBKPoleargs[0];//f0
+ af = SLBKPoleargs[2];//beta
+ //bf = SLBKPoleargs[6];
+ powf = 1.0;
+
+ *f0f = f0/(pow( 1.0 - (t/mass_star2/af),powf));//modified
+
+ return;
+}
+
+void EvtSLBKPoleFF::getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+
+ if ( numSLBKPoleargs !=8 ) {//modified
+ report(ERROR,"EvtGen") << "Problem in EvtSLBKPoleFF::getvectorff\n";//modified
+ report(ERROR,"EvtGen") << "wrong number of arguements!!!\n";
+ report(ERROR,"EvtGen") << numSLBKPoleargs<<"\n";//modified
+// printf("\n*********************%d*********************",numSLBKPoleargs);
+ }
+
+
+ report(INFO,"EvtGen")<<"Check the implementation of EvtSLBKPoleFF::getvectorff()!\n";
+
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double mb2 = mb*mb;
+
+//modified-begin
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+ static EvtId BP=EvtPDL::getId("B+");
+ static EvtId BM=EvtPDL::getId("B-");
+ static EvtId BS0=EvtPDL::getId("B_s0");
+
+ static EvtId B0S=EvtPDL::getId("B*0");
+ static EvtId BPMS=EvtPDL::getId("B*+");
+ static EvtId BS0S=EvtPDL::getId("B_s*0");
+
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+
+ static EvtId D0S=EvtPDL::getId("D*0");
+ static EvtId DPMS=EvtPDL::getId("D*+");
+ static EvtId DSPMS=EvtPDL::getId("D_s*+");
+
+ double mass_star;
+ double mass_star2;
+ if(parent==B0||parent==B0B){
+ mass_star=EvtPDL::getMeanMass(B0S);
+ mass_star2=mass_star*mass_star;
+ }
+ if(parent==BP||parent==BM){
+ mass_star=EvtPDL::getMeanMass(BPMS);
+ mass_star2=mass_star*mass_star;
+ }
+ if(parent==BS0){
+ mass_star=EvtPDL::getMeanMass(BS0S);
+ mass_star2=mass_star*mass_star;
+ }
+
+ if(parent==D0||parent==D0B){
+ mass_star=EvtPDL::getMeanMass(D0S);
+ mass_star2=mass_star*mass_star;
+ }
+ if(parent==DP||parent==DM){
+ mass_star=EvtPDL::getMeanMass(DPMS);
+ mass_star2=mass_star*mass_star;
+ }
+ if(parent==DSP||parent==DSM){
+ mass_star=EvtPDL::getMeanMass(DSPMS);
+ mass_star2=mass_star*mass_star;
+ }
+//modified-end
+
+ double f0,af,bf,powf;
+
+ f0 = SLBKPoleargs[2];//A1
+ af = SLBKPoleargs[6];//b'
+ bf = 0;//0
+ powf = 1.0;//1.0
+ *a1f = f0/(pow( 1.0 - af*t/mass_star2,powf));//modified
+
+ f0 = SLBKPoleargs[3];//A2
+ af = SLBKPoleargs[6];//b'
+ bf = SLBKPoleargs[7];//b''==0
+ powf = 1.0;//1.0
+
+ *a2f = f0/(pow(1.0 - (af+bf)*(t/mass_star2) + (af*bf)*((t/mass_star2)*(t/mass_star2)),powf));//modified
+
+ f0 = SLBKPoleargs[0];//V0
+ af = SLBKPoleargs[4];//a
+ bf = 0;//0
+ powf = 1.0;//1.0
+
+ *vf = f0/(pow( 1.0 - (1.0+af)*(t/mass_star2) + af*(t/mass_star2)*(t/mass_star2),powf));//modified
+
+ f0 = SLBKPoleargs[1];//A0
+ af = SLBKPoleargs[5];//a'
+ bf = 0;//0
+ powf = 1.0;//1.0
+
+ *a0f = f0/(pow( 1.0 - (1.0+af)*(t/mb2) + af*((t/mb2)*(t/mb2)),powf));//modified
+ return;
+ }
+
+
+
+void EvtSLBKPoleFF::gettensorff(EvtId parent,EvtId daught,
+ double t, double mass, double *hf,
+ double *kf, double *bpf, double *bmf ){
+
+ if ( numSLBKPoleargs !=16 ) {
+ report(ERROR,"EvtGen") << "Problem in EvtSLBKPoleFF::gettensorff\n";
+ report(ERROR,"EvtGen") << "wrong number of arguements!!!\n";
+ }
+
+ report(INFO,"EvtGen")<<"Check the implementation of EvtSLBKPoleFF::gettensorff()!\n";
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double mb2 = mb*mb;
+
+ double f0,af,bf,powf;
+
+ f0 = SLBKPoleargs[0];
+ af = SLBKPoleargs[1];
+ bf = SLBKPoleargs[2];
+ powf = SLBKPoleargs[3];
+ *hf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLBKPoleargs[4];
+ af = SLBKPoleargs[5];
+ bf = SLBKPoleargs[6];
+ powf = SLBKPoleargs[7];
+
+ *kf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLBKPoleargs[8];
+ af = SLBKPoleargs[9];
+ bf = SLBKPoleargs[10];
+ powf = SLBKPoleargs[11];
+
+ *bpf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLBKPoleargs[12];
+ af = SLBKPoleargs[13];
+ bf = SLBKPoleargs[14];
+ powf = SLBKPoleargs[15];
+
+ *bmf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+ return;
+ }
+
+void EvtSLBKPoleFF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtSLBKPoleFF.\n";
+ ::abort();
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSLBKPoleFF.hh
+//
+// Description:Form factor routines for EvtSLBKPole,
+// according to Becirevic and Kaidalov(BK)
+//
+// Modification history:
+//
+// liheng October 20, 2005 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSLBKPOLEFF_HH//modified
+#define EVTSLBKPOLEFF_HH//modified
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"//modified
+#include "EvtGenBase/EvtId.hh"
+
+class EvtSLBKPoleFF : public EvtSemiLeptonicFF {//modified
+
+public:
+ EvtSLBKPoleFF(int numarg, double *arglist);//modified
+ void getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *fpf,
+ double *f0f );
+ void getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+ void gettensorff(EvtId parent,EvtId daught,//need to be modified, but not yet
+ double t, double mass, double *hf,
+ double *kf, double *bp, double *bm );
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+
+private:
+ int numSLBKPoleargs;//modified
+ double SLBKPoleargs[16];//modified
+
+};
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSLN.cc
+//
+// Description: B ==> tau + nu
+//
+// Modification history:
+//
+// RYD/SHY April 23, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtSLN.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtSLN::~EvtSLN() {}
+
+std::string EvtSLN::getName(){
+
+ return "SLN";
+
+}
+
+EvtDecayBase* EvtSLN::clone(){
+
+ return new EvtSLN;
+
+}
+
+
+void EvtSLN::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::DIRAC);
+ checkSpinDaughter(1,EvtSpinType::NEUTRINO);
+
+}
+
+
+void EvtSLN::initProbMax(){
+
+ double M=EvtPDL::getMeanMass(getParentId());
+ double m=EvtPDL::getMeanMass(getDaug(0));
+
+ double probMax=8.0*(M*M-m*m)*m*m;
+
+ setProbMax(probMax);
+
+}
+
+
+void EvtSLN::decay(EvtParticle *p){
+
+ static EvtId EM=EvtPDL::getId("e-");
+ static EvtId MUM=EvtPDL::getId("mu-");
+ static EvtId TAUM=EvtPDL::getId("tau-");
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *l, *nul;
+ l= p->getDaug(0);
+ nul= p->getDaug(1);
+
+ EvtVector4R p4_p;
+ p4_p.set(p->mass(),0.0,0.0,0.0);
+
+ EvtVector4C l1, l2;
+
+ if (getDaug(0)==TAUM || getDaug(0)==MUM || getDaug(0)==EM) {
+ l1=EvtLeptonVACurrent(l->spParent(0),nul->spParentNeutrino());
+ l2=EvtLeptonVACurrent(l->spParent(1),nul->spParentNeutrino());
+ }
+ else{
+ l1=EvtLeptonVACurrent(nul->spParentNeutrino(),l->spParent(0));
+ l2=EvtLeptonVACurrent(nul->spParentNeutrino(),l->spParent(1));
+ }
+
+ vertex(0,p4_p*l1);
+ vertex(1,p4_p*l2);
+
+ return;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSLN.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSLN_HH
+#define EVTSLN_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+//Class to handle decays of the type SCALAR -> DIRAC NEUTRINO
+
+class EvtSLN:public EvtDecayAmp {
+
+public:
+
+ EvtSLN() {}
+ virtual ~EvtSLN();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSLPole.cc
+//
+// Description: Routine to implement semileptonic decays according
+// to light cone sum rules
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSLPole.hh"
+#include "EvtGenModels/EvtSLPoleFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicScalarAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicVectorAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicTensorAmp.hh"
+#include <string>
+
+EvtSLPole::~EvtSLPole() {}
+
+std::string EvtSLPole::getName(){
+
+ return "SLPOLE";
+
+}
+
+
+EvtDecayBase* EvtSLPole::clone(){
+
+ return new EvtSLPole;
+
+}
+
+void EvtSLPole::decay( EvtParticle *p ){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs(),_resetDaughterTree);
+ calcamp->CalcAmp(p,_amp2,SLPoleffmodel);
+ return;
+}
+
+void EvtSLPole::initProbMax(){
+
+EvtId parnum,mesnum,lnum,nunum;
+
+parnum = getParentId();
+mesnum = getDaug(0);
+lnum = getDaug(1);
+nunum = getDaug(2);
+
+double mymaxprob = calcamp->CalcMaxProb(parnum,mesnum,
+ lnum,nunum,SLPoleffmodel);
+
+setProbMax(mymaxprob);
+
+}
+
+
+void EvtSLPole::init(){
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton neutrino
+
+ checkSpinParent(EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(getDaug(0));
+
+ SLPoleffmodel = new EvtSLPoleFF(getNArg(),getArgs());
+
+ if ( mesontype==EvtSpinType::SCALAR ) {
+ calcamp = new EvtSemiLeptonicScalarAmp;
+ }
+ if ( mesontype==EvtSpinType::VECTOR ) {
+ calcamp = new EvtSemiLeptonicVectorAmp;
+ }
+ if ( mesontype==EvtSpinType::TENSOR ) {
+ calcamp = new EvtSemiLeptonicTensorAmp;
+ }
+
+ _resetDaughterTree=false;
+ if ( getArgStr(getNArg()-1) == "true") _resetDaughterTree=true;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSLPole.hh
+//
+// Description:Semileptonic decays with pole form form factors
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSLPOLE_HH
+#define EVTSLPOLE_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtSemiLeptonicAmp.hh"
+
+class Evtparticle;
+
+class EvtSLPole:public EvtDecayAmp {
+
+public:
+
+ EvtSLPole() {}
+ virtual ~EvtSLPole();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void initProbMax();
+ void init();
+
+private:
+ EvtSemiLeptonicFF *SLPoleffmodel;
+ EvtSemiLeptonicAmp *calcamp;
+ //special case - reset the daughter masses
+ bool _resetDaughterTree;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSLPoleFF.cc
+//
+// Description: Routine to implement semileptonic form factors
+// according to the model SLPoles
+//
+// Modification history:
+//
+// DJL April 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSLPoleFF.hh"
+#include <string>
+#include "EvtGenBase/EvtPDL.hh"
+#include <math.h>
+#include <stdlib.h>
+
+EvtSLPoleFF::EvtSLPoleFF(int numarg, double *arglist) {
+ //arg - maybe ignore the last argument - if odd ... Sigh
+ numSLPoleargs = numarg - (numarg % 2);
+ for (int i=0; i<numSLPoleargs; i++) {
+ SLPoleargs[i] = arglist[i]; }
+
+ return;
+}
+
+
+void EvtSLPoleFF::getscalarff(EvtId parent,EvtId,
+ double t, double, double *fpf,
+ double *f0f ) {
+
+// Form factors have a general form, with parameters passed in
+// from the arguements.
+
+ if ( numSLPoleargs !=8 ) {
+ report(ERROR,"EvtGen") << "Problem in EvtSLPoleFF::getscalarff\n";
+ report(ERROR,"EvtGen") << "wrong number of arguements!!!\n";
+ }
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double mb2 = mb*mb;
+
+ double f0,af,bf,powf;
+
+ f0 = SLPoleargs[0];
+ af = SLPoleargs[1];
+ bf = SLPoleargs[2];
+ powf = SLPoleargs[3];
+ *fpf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLPoleargs[4];
+ af = SLPoleargs[5];
+ bf = SLPoleargs[6];
+ powf = SLPoleargs[7];
+
+ *f0f = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ return;
+}
+
+ void EvtSLPoleFF::getvectorff(EvtId parent,EvtId,
+ double t, double, double *a1f,
+ double *a2f, double *vf, double *a0f ){
+
+ if ( numSLPoleargs !=16 ) {
+ report(ERROR,"EvtGen") << "Problem in EvtSLPoleFF::getvectorff\n";
+ report(ERROR,"EvtGen") << "wrong number of arguements!!!\n";
+ report(ERROR,"EvtGen") << numSLPoleargs<<"\n";
+ }
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double mb2 = mb*mb;
+
+ double f0,af,bf,powf;
+
+ f0 = SLPoleargs[0];
+ af = SLPoleargs[1];
+ bf = SLPoleargs[2];
+ powf = SLPoleargs[3];
+ *a1f = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLPoleargs[4];
+ af = SLPoleargs[5];
+ bf = SLPoleargs[6];
+ powf = SLPoleargs[7];
+
+ *a2f = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLPoleargs[8];
+ af = SLPoleargs[9];
+ bf = SLPoleargs[10];
+ powf = SLPoleargs[11];
+
+ *vf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLPoleargs[12];
+ af = SLPoleargs[13];
+ bf = SLPoleargs[14];
+ powf = SLPoleargs[15];
+
+ *a0f = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+ return;
+ }
+
+
+
+ void EvtSLPoleFF::gettensorff(EvtId parent,EvtId,
+ double t, double, double *hf,
+ double *kf, double *bpf, double *bmf ){
+
+ if ( numSLPoleargs !=16 ) {
+ report(ERROR,"EvtGen") << "Problem in EvtSLPoleFF::gettensorff\n";
+ report(ERROR,"EvtGen") << "wrong number of arguements!!!\n";
+ }
+
+ double mb=EvtPDL::getMeanMass(parent);
+ double mb2 = mb*mb;
+
+ double f0,af,bf,powf;
+
+ f0 = SLPoleargs[0];
+ af = SLPoleargs[1];
+ bf = SLPoleargs[2];
+ powf = SLPoleargs[3];
+ *hf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLPoleargs[4];
+ af = SLPoleargs[5];
+ bf = SLPoleargs[6];
+ powf = SLPoleargs[7];
+
+ *kf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLPoleargs[8];
+ af = SLPoleargs[9];
+ bf = SLPoleargs[10];
+ powf = SLPoleargs[11];
+
+ *bpf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+
+ f0 = SLPoleargs[12];
+ af = SLPoleargs[13];
+ bf = SLPoleargs[14];
+ powf = SLPoleargs[15];
+
+ *bmf = f0/(pow( 1.0 + (af*t/mb2) + (bf*((t/mb2)*(t/mb2))),powf));
+ return;
+ }
+
+
+void EvtSLPoleFF::getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*){
+
+ report(ERROR,"EvtGen") << "Not implemented :getbaryonff in EvtSLPoleFF.\n";
+ ::abort();
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSLPoleFF.hh
+//
+// Description:Form factor routines for EvtSLPole
+//
+// Modification history:
+//
+// DJL April 23, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSLPOLEFF_HH
+#define EVTSLPOLEFF_HH
+
+#include "EvtGenBase/EvtSemiLeptonicFF.hh"
+#include "EvtGenBase/EvtId.hh"
+
+class EvtSLPoleFF : public EvtSemiLeptonicFF {
+
+public:
+ EvtSLPoleFF(int numarg, double *arglist);
+ void getscalarff(EvtId parent,EvtId daught,
+ double t, double mass, double *fpf,
+ double *f0f );
+ void getvectorff(EvtId parent,EvtId daught,
+ double t, double mass, double *a1f,
+ double *a2f, double *vf, double *a0f );
+ void gettensorff(EvtId parent,EvtId daught,
+ double t, double mass, double *hf,
+ double *kf, double *bp, double *bm );
+
+ void getbaryonff(EvtId, EvtId, double, double, double*,
+ double*, double*, double*);
+
+private:
+ int numSLPoleargs;
+ double SLPoleargs[16];
+
+};
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Caltech
+//
+// Module: EvtSSDCP.cc
+//
+// Description: See EvtSSDCP.hh
+//
+// Modification history:
+//
+// RYD August 12, 2001 Module created
+// F. Sandrelli, Fernando M-V March 1, 2002 Debugged and added z parameter (CPT violation)
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenModels/EvtSSDCP.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+using std::endl;
+
+EvtSSDCP::~EvtSSDCP() {}
+
+std::string EvtSSDCP::getName(){
+
+ return "SSD_CP";
+
+}
+
+
+EvtDecayBase* EvtSSDCP::clone(){
+
+ return new EvtSSDCP;
+
+}
+
+void EvtSSDCP::init(){
+
+ // check that there are 8 or 12 or 14 arguments
+
+ checkNArg(14,12,8);
+ checkNDaug(2);
+
+ EvtSpinType::spintype d1type=EvtPDL::getSpinType(getDaug(0));
+ EvtSpinType::spintype d2type=EvtPDL::getSpinType(getDaug(1));
+
+ // Check it is a B0 or B0s
+ if ( ( getParentId() != EvtPDL::getId( "B0" ) )
+ && ( getParentId() != EvtPDL::getId( "anti-B0" ) )
+ && ( getParentId() != EvtPDL::getId( "B_s0" ) )
+ && ( getParentId() != EvtPDL::getId( "anti-B_s0" ) ) ) {
+ report( ERROR , "EvtGen" ) << "EvtSSDCP only decays B0 and B0s"
+ << std::endl ;
+ ::abort() ;
+ }
+
+
+ if ( (!(d1type == EvtSpinType::SCALAR || d2type == EvtSpinType::SCALAR))||
+ (!((d2type==EvtSpinType::SCALAR)||(d2type==EvtSpinType::VECTOR)||(d2type==EvtSpinType::TENSOR)))||
+ (!((d1type==EvtSpinType::SCALAR)||(d1type==EvtSpinType::VECTOR)||(d1type==EvtSpinType::TENSOR)))
+ ) {
+ report(ERROR,"EvtGen") << "EvtSSDCP generator expected "
+ << "one of the daugters to be a scalar, the other either scalar, vector, or tensor, found:"
+ << EvtPDL::name(getDaug(0)).c_str()<<" and "<<EvtPDL::name(getDaug(1)).c_str()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ _dm=getArg(0)/EvtConst::c; //units of 1/mm
+
+ _dgog=getArg(1);
+
+
+ _qoverp=getArg(2)*EvtComplex(cos(getArg(3)),sin(getArg(3)));
+ _poverq=1.0/_qoverp;
+
+ _A_f=getArg(4)*EvtComplex(cos(getArg(5)),sin(getArg(5)));
+
+ _Abar_f=getArg(6)*EvtComplex(cos(getArg(7)),sin(getArg(7)));
+
+ if (getNArg()>=12){
+ _eigenstate=false;
+ _A_fbar=getArg(8)*EvtComplex(cos(getArg(9)),sin(getArg(9)));
+ _Abar_fbar=getArg(10)*EvtComplex(cos(getArg(11)),sin(getArg(11)));
+ }
+ else{
+ //I'm somewhat confused about this. For a CP eigenstate set the
+ //amplitudes to the same. For a non CP eigenstate CPT invariance
+ //is enforced. (ryd)
+ if (
+ (getDaug(0)==EvtPDL::chargeConj(getDaug(0))&&
+ getDaug(1)==EvtPDL::chargeConj(getDaug(1)))||
+ (getDaug(0)==EvtPDL::chargeConj(getDaug(1))&&
+ getDaug(1)==EvtPDL::chargeConj(getDaug(0)))){
+ _eigenstate=true;
+ }else{
+ _eigenstate=false;
+ _A_fbar=conj(_Abar_f);
+ _Abar_fbar=conj(_A_f);
+ }
+ }
+
+ //FS: new check for z
+ if (getNArg()==14){ //FS Set _z parameter if provided else set it 0
+ _z=EvtComplex(getArg(12),getArg(13));
+ }
+ else{
+ _z=EvtComplex(0.0,0.0);
+ }
+
+ // FS substituted next 2 lines...
+
+
+ //
+ // _gamma=EvtPDL::getctau(EvtPDL::getId("B0")); //units of 1/mm
+ //_dgamma=_gamma*0.5*_dgog;
+ //
+ // ...with:
+
+ if ( ( getParentId() == EvtPDL::getId("B0") ) ||
+ ( getParentId() == EvtPDL::getId("anti-B0") ) ) {
+ _gamma=1./EvtPDL::getctau(EvtPDL::getId("B0")); //gamma/c (1/mm)
+ }
+ else{
+ _gamma=1./EvtPDL::getctau(EvtPDL::getId("B_s0")) ;
+ }
+
+ _dgamma=_gamma*_dgog; //dgamma/c (1/mm)
+
+ if (verbose()){
+ report(INFO,"EvtGen") << "SSD_CP will generate CP/CPT violation:"
+ << endl << endl
+ << " " << EvtPDL::name(getParentId()).c_str() << " --> "
+ << EvtPDL::name(getDaug(0)).c_str() << " + "
+ << EvtPDL::name(getDaug(1)).c_str() << endl << endl
+ << "using parameters:" << endl << endl
+ << " delta(m) = " << _dm << " hbar/ps" << endl
+ << "dGamma = " << _dgamma <<" ps-1" <<endl
+ << " q/p = " << _qoverp << endl
+ << " z = " << _z << endl
+ << " tau = " << 1./_gamma << " ps" << endl;
+ }
+
+}
+
+void EvtSSDCP::initProbMax() {
+ double theProbMax =
+ abs(_A_f) * abs(_A_f) +
+ abs(_Abar_f) * abs(_Abar_f) +
+ abs(_A_fbar) * abs(_A_fbar) +
+ abs(_Abar_fbar) * abs(_Abar_fbar);
+
+ if (_eigenstate) theProbMax*=2;
+
+ EvtSpinType::spintype d2type=EvtPDL::getSpinType(getDaug(1));
+ EvtSpinType::spintype d1type=EvtPDL::getSpinType(getDaug(0));
+ if (d1type==EvtSpinType::TENSOR||d2type==EvtSpinType::TENSOR) theProbMax*=10;
+
+ setProbMax(theProbMax);
+}
+
+void EvtSSDCP::decay( EvtParticle *p){
+
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ static EvtId B0s = EvtPDL::getId("B_s0");
+ static EvtId B0Bs = EvtPDL::getId("anti-B_s0");
+
+ double t;
+ EvtId other_b;
+ EvtId daugs[2];
+
+ int flip=0;
+ if (!_eigenstate){
+ if (EvtRandom::Flat(0.0,1.0)<0.5) flip=1;
+ }
+
+ if (!flip) {
+ daugs[0]=getDaug(0);
+ daugs[1]=getDaug(1);
+ }
+ else{
+ daugs[0]=EvtPDL::chargeConj(getDaug(0));
+ daugs[1]=EvtPDL::chargeConj(getDaug(1));
+ }
+
+ EvtParticle *d;
+ p->initializePhaseSpace(2, daugs);
+
+ EvtComplex amp;
+
+
+ EvtCPUtil::OtherB(p,t,other_b,0.5); // t is c*Dt (mm)
+
+ //if (flip) t=-t;
+
+ //FS We assume DGamma=GammaLow-GammaHeavy and Dm=mHeavy-mLow
+ EvtComplex expL=exp(-EvtComplex(-0.25*_dgamma*t,0.5*_dm*t));
+ EvtComplex expH=exp(EvtComplex(-0.25*_dgamma*t,0.5*_dm*t));
+ //FS Definition of gp and gm
+ EvtComplex gp=0.5*(expL+expH);
+ EvtComplex gm=0.5*(expL-expH);
+ //FS Calculation os sqrt(1-z^2)
+ EvtComplex sqz=sqrt(abs(1-_z*_z))*exp(EvtComplex(0,arg(1-_z*_z)/2));
+
+ //EvtComplex BB=0.5*(expL+expH); // <B0|B0(t)>
+ //EvtComplex barBB=_qoverp*0.5*(expL-expH); // <B0bar|B0(t)>
+ //EvtComplex BbarB=_poverq*0.5*(expL-expH); // <B0|B0bar(t)>
+ //EvtComplex barBbarB=BB; // <B0bar|B0bar(t)>
+ // FS redefinition of these guys... (See BAD #188 eq.35 for ref.)
+ // q/p is taken as in the BaBar Phys. Book (opposite sign wrt ref.)
+ EvtComplex BB=gp+_z*gm; // <B0|B0(t)>
+ EvtComplex barBB=sqz*_qoverp*gm; // <B0bar|B0(t)>
+ EvtComplex BbarB=sqz*_poverq*gm; // <B0|B0bar(t)>
+ EvtComplex barBbarB=gp-_z*gm; // <B0bar|B0bar(t)>
+
+ if (!flip){
+ if (other_b==B0B||other_b==B0Bs){
+ //at t=0 we have a B0
+ //report(INFO,"EvtGen") << "B0B"<<endl;
+ amp=BB*_A_f+BbarB*_Abar_f;
+ //std::cout << "noflip B0B tag:"<<amp<<std::endl;
+ //amp=0.0;
+ }
+ if (other_b==B0||other_b==B0s){
+ //report(INFO,"EvtGen") << "B0"<<endl;
+ amp=barBB*_A_f+barBbarB*_Abar_f;
+ }
+ }else{
+ if (other_b==B0||other_b==B0s){
+ amp=barBB*_A_fbar+barBbarB*_Abar_fbar;
+ //std::cout << "flip B0 tag:"<<amp<<std::endl;
+ //amp=0.0;
+ }
+ if (other_b==B0B||other_b==B0Bs){
+ amp=BB*_A_fbar+BbarB*_Abar_fbar;
+ }
+ }
+
+
+ EvtVector4R p4_parent=p->getP4Restframe();
+ double m_parent=p4_parent.mass();
+
+ EvtSpinType::spintype d2type=EvtPDL::getSpinType(getDaug(1));
+
+ EvtVector4R momv;
+ EvtVector4R moms;
+
+ if (d2type==EvtSpinType::SCALAR){
+ d2type=EvtPDL::getSpinType(getDaug(0));
+ d= p->getDaug(0);
+ momv = d->getP4();
+ moms = p->getDaug(1)->getP4();
+ }
+ else{
+ d= p->getDaug(1);
+ momv = d->getP4();
+ moms = p->getDaug(0)->getP4();
+ }
+
+
+
+ if (d2type==EvtSpinType::SCALAR) {
+ vertex(amp);
+ }
+
+ if (d2type==EvtSpinType::VECTOR) {
+
+ double norm=momv.mass()/(momv.d3mag()*p->mass());
+
+ //std::cout << amp << " " << norm << " " << p4_parent << d->getP4()<< std::endl;
+ // std::cout << EvtPDL::name(d->getId()) << " " << EvtPDL::name(p->getDaug(0)->getId()) <<
+ // " 1and2 " << EvtPDL::name(p->getDaug(1)->getId()) << std::endl;
+ //std::cout << d->eps(0) << std::endl;
+ //std::cout << d->epsParent(0) << std::endl;
+ vertex(0,amp*norm*p4_parent*(d->epsParent(0)));
+ vertex(1,amp*norm*p4_parent*(d->epsParent(1)));
+ vertex(2,amp*norm*p4_parent*(d->epsParent(2)));
+
+ }
+
+ if (d2type==EvtSpinType::TENSOR) {
+
+ double norm=d->mass()*d->mass()/(m_parent*d->getP4().d3mag()*d->getP4().d3mag());
+
+
+ vertex(0,amp*norm*d->epsTensorParent(0).cont1(p4_parent)*p4_parent);
+ vertex(1,amp*norm*d->epsTensorParent(1).cont1(p4_parent)*p4_parent);
+ vertex(2,amp*norm*d->epsTensorParent(2).cont1(p4_parent)*p4_parent);
+ vertex(3,amp*norm*d->epsTensorParent(3).cont1(p4_parent)*p4_parent);
+ vertex(4,amp*norm*d->epsTensorParent(4).cont1(p4_parent)*p4_parent);
+
+ }
+
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 12001 Caltech
+//
+// Module: EvtGen/EvtSSDCP.hh
+//
+// Description: This module is part of the unification of simulation of CP violation in
+// B decays. This model handles decays of the type B->SD where D is either
+// a spin 0, 1, or 2 particle. See long writeup for more information.
+//
+// Modification history:
+//
+// DJL/RYD August 12, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSSDCP_HH
+#define EVTSSDCP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSSDCP:public EvtDecayAmp {
+
+public:
+
+ EvtSSDCP() {}
+ virtual ~EvtSSDCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+private:
+
+ //Arguments
+
+ double _dm;
+
+ double _dgog;
+
+ EvtComplex _qoverp;
+ EvtComplex _poverq;
+ EvtComplex _z; //FS CPTV parameter
+
+ // FS commented next line becuse not used
+ // int _cp;
+
+ EvtComplex _A_f;
+ EvtComplex _Abar_f;
+
+ EvtComplex _A_fbar;
+ EvtComplex _Abar_fbar;
+
+ //Derived quantities
+
+ double _gamma;
+ double _dgamma;
+
+ bool _eigenstate;
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSSSCP.cc
+//
+// Description: Routine to decay scalar -> 2 scalars
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSSSCP.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSSSCP::~EvtSSSCP() {}
+
+std::string EvtSSSCP::getName(){
+
+ return "SSS_CP";
+
+}
+
+
+EvtDecayBase* EvtSSSCP::clone(){
+
+ return new EvtSSSCP;
+
+}
+
+void EvtSSSCP::init(){
+
+ // check that there are 7 arguments
+ checkNArg(7);
+ checkNDaug(2);
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+}
+
+void EvtSSSCP::initProbMax(){
+
+ //This is probably not quite right, but it should do as a start...
+ //Anders
+
+ setProbMax(2*(getArg(3)*getArg(3)+getArg(5)*getArg(5)));
+
+}
+
+void EvtSSSCP::decay( EvtParticle *p ){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+
+ EvtComplex amp;
+
+ EvtComplex A,Abar;
+
+ A=EvtComplex(getArg(3)*cos(getArg(4)),getArg(3)*sin(getArg(4)));
+ Abar=EvtComplex(getArg(5)*cos(getArg(6)),getArg(5)*sin(getArg(6)));
+
+ if (other_b==B0B){
+ amp=A*cos(getArg(1)*t/(2*EvtConst::c))+
+ EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ getArg(2)*EvtComplex(0.0,1.0)*Abar*sin(getArg(1)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+ amp=A*EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(1)*t/(2*EvtConst::c))+
+ getArg(2)*Abar*cos(getArg(1)*t/(2*EvtConst::c));
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSSSCP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSSSCP_HH
+#define EVTSSSCP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+
+class EvtSSSCP:public EvtDecayAmp {
+
+public:
+
+ EvtSSSCP() {}
+ virtual ~EvtSSSCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSSSCPT.cc
+//
+// Description: Routine to decay scalar -> 2 scalars (CPT)
+//
+// Modification history:
+//
+// SHY April 28, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSSSCPT.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSSSCPT::~EvtSSSCPT() {}
+
+std::string EvtSSSCPT::getName(){
+
+ return "SSS_CPT";
+
+}
+
+
+EvtDecayBase* EvtSSSCPT::clone(){
+
+ return new EvtSSSCPT;
+
+}
+
+void EvtSSSCPT::init(){
+
+ // check that there are 8 arguments
+ checkNArg(8);
+ checkNDaug(2);
+
+}
+
+
+void EvtSSSCPT::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtComplex amp;
+
+ EvtComplex A,Abar;
+ EvtComplex P,Q,D,Im;
+
+ P=EvtComplex(cos(-getArg(0)),sin(-getArg(0)));
+ Q=EvtComplex(cos(getArg(0)),sin(getArg(0)));
+ D=EvtComplex(getArg(6)*cos(getArg(7)),getArg(6)*sin(getArg(7)));
+ Im=EvtComplex(0.0,1.0);
+
+ A=EvtComplex(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+ Abar=EvtComplex(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
+
+ if (other_b==B0B){
+ amp=A*cos(getArg(1)*t/(2*EvtConst::c))+
+ Im*sin(getArg(1)*t/(2*EvtConst::c))*
+ (Q/P*A + 2.0*D*Abar);
+ }
+ if (other_b==B0){
+ amp=Abar*cos(getArg(1)*t/(2*EvtConst::c))+
+ Im*sin(getArg(1)*t/(2*EvtConst::c))*
+ (P/Q*A - 2.0*D*Abar);
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSSSCPT.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSSSCPT_HH
+#define EVTSSSCPT_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSSSCPT:public EvtDecayAmp {
+
+public:
+
+ EvtSSSCPT() {}
+ virtual ~EvtSSSCPT();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSSSCPpng.cc
+//
+// Description: Routine to decay B -> 2 scalars taking into account penguin
+// contributions (assuming single quark dominance for penguins)
+//
+// Modification history:
+//
+// RYD/NK December 3, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSSSCPpng.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSSSCPpng::~EvtSSSCPpng() {}
+
+std::string EvtSSSCPpng::getName(){
+
+ return "SSS_CP_PNG";
+
+}
+
+
+EvtDecayBase* EvtSSSCPpng::clone(){
+
+ return new EvtSSSCPpng;
+
+}
+
+void EvtSSSCPpng::init(){
+
+ // check that there are 7 arguments
+ checkNArg(7);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+}
+
+void EvtSSSCPpng::initProbMax(){
+
+ setProbMax(getArg(5)*getArg(5)*(1 + getArg(6)*getArg(6)));
+
+}
+
+void EvtSSSCPpng::decay( EvtParticle *p ){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtComplex amp;
+
+ EvtComplex A,Abar;
+ //EvtComplex ACC, AbarCC;
+
+// assume single (top) quark dominance for the penguin.
+
+// old: a0=alpha, a1=dm, a2=1, a3=1, a4=0, a5=1, a6=0
+// new: a0=beta, a1=gamma, a2=delta, a3=dm, a4=1, a5=1=A_{T}, a6=A_{P}/A_{T}
+
+// e.g., for B -> pi pi
+// A_{T} = |V_{ub} V_{ud}| T
+// A_{P} = |V_{tb} V_{td}| P
+// P and T are purely hadronic matrix elements
+// P/T = 0.055, A_{P}/A_{T} = 0.2 (see Marrocchesi and Paver, hep-ph/9702353)
+
+// A = A_{T}( exp(i(beta+gamma)) + (A_{P}/A_{T}) exp(i(delta))
+// A_bar = same, except for the sign of the weak phases
+// here, delta = delta_{p}-delta_{t} (rel. strong phase)
+
+ A=getArg(5)*(EvtComplex(cos(-getArg(0)-getArg(1)),sin(-getArg(0)-getArg(1)))+getArg(6)*EvtComplex(cos(getArg(2)),sin(getArg(2))));
+
+ Abar=getArg(5)*(EvtComplex(cos(getArg(0)+getArg(1)),sin(getArg(0)+getArg(1)))+getArg(6)*EvtComplex(cos(getArg(2)),sin(getArg(2))));
+
+// get fraction of B0 tags with these amplitudes
+
+ //double xd = 0.65;
+ double ratio = 1/(1 + 0.65*0.65);
+
+ EvtComplex rf, rbarf;
+
+ rf = EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*Abar/A;
+ rbarf = EvtComplex(1.0)/rf;
+
+ double A2 = real(A)*real(A) + imag(A)*imag(A);
+ double Abar2 = real(Abar)*real(Abar) + imag(Abar)*imag(Abar);
+
+ double rf2 = real(rf)*real(rf) + imag(rf)*imag(rf);
+ double rbarf2 = real(rbarf)*real(rbarf) + imag(rbarf)*imag(rbarf);
+
+ //fraction of B0 _tags_
+ double fract =(Abar2*(1+ rbarf2 + (1 - rbarf2)*ratio))/(Abar2*(1+ rbarf2 + (1 - rbarf2)*ratio) + A2*(1+ rf2 + (1 - rf2)*ratio));
+
+ EvtCPUtil::OtherB(p,t,other_b,fract);
+
+//this method works just as well -- NK
+//randomly generate the tag (B0 or B0B)
+
+// double tag = EvtRandom::Flat(0.0,1.0);
+// if (tag < 0.5) {
+//
+// EvtCPUtil::OtherB(p,t,other_b,1.0);
+// other_b = B0;
+// }
+// else {
+//
+// EvtCPUtil::OtherB(p,t,other_b,0.0);
+// other_b = B0B;
+// }
+
+//mixing angle = -beta
+
+ if (other_b==B0B){
+ amp=A*cos(getArg(3)*t/(2*EvtConst::c))+
+ EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ getArg(4)*EvtComplex(0.0,1.0)*Abar*sin(getArg(3)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+ amp=A*EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(3)*t/(2*EvtConst::c))+
+ getArg(4)*Abar*cos(getArg(3)*t/(2*EvtConst::c));
+ }
+
+ vertex(amp);
+
+ return ;
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSSSCPpng.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSSSCPPNG_HH
+#define EVTSSSCPPNG_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSSSCPpng:public EvtDecayAmp {
+
+public:
+
+ EvtSSSCPpng() {}
+ virtual ~EvtSSSCPpng();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSTS.cc
+//
+// Description: Routine to decay scalar -> tensor scalar.
+//
+//
+// Modification history:
+//
+// RYD Aug 21, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSTS.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+
+EvtSTS::~EvtSTS() {}
+
+std::string EvtSTS::getName(){
+
+ return "STS";
+
+}
+
+
+EvtDecayBase* EvtSTS::clone(){
+
+ return new EvtSTS;
+
+}
+
+void EvtSTS::initProbMax(){
+
+ setProbMax(20.0);
+
+}
+
+void EvtSTS::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::TENSOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+}
+
+
+void EvtSTS::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle* t1=p->getDaug(0);
+
+ EvtVector4R momt = t1->getP4();
+ EvtVector4R moms = p->getDaug(1)->getP4();
+ double masst = t1->mass();
+
+ EvtVector4R p4_parent=momt+moms;
+
+ double m_parent=p4_parent.mass();
+
+ double norm=masst*masst/(m_parent*momt.d3mag()*momt.d3mag());
+
+ vertex(0,norm*t1->epsTensorParent(0).cont1(p4_parent)*p4_parent);
+ vertex(1,norm*t1->epsTensorParent(1).cont1(p4_parent)*p4_parent);
+ vertex(2,norm*t1->epsTensorParent(2).cont1(p4_parent)*p4_parent);
+ vertex(3,norm*t1->epsTensorParent(3).cont1(p4_parent)*p4_parent);
+ vertex(4,norm*t1->epsTensorParent(4).cont1(p4_parent)*p4_parent);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSTS.hh
+//
+// Description:Performs the decay of a scalar -> tensor scalar
+//
+// Modification history:
+//
+// RYD August 21, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSTS_HH
+#define EVTSTS_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSTS:public EvtDecayAmp {
+
+public:
+
+ EvtSTS() {}
+ virtual ~EvtSTS();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSTSCP.cc
+//
+// Description: Routine to decay scalar -> tensor scalar
+// and has CP violation.
+//
+// Modification history:
+//
+// RYD June 19, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSTSCP.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSTSCP::~EvtSTSCP() {}
+
+std::string EvtSTSCP::getName(){
+
+ return "STS_CP";
+
+}
+
+void EvtSTSCP::initProbMax(){
+
+ //This is probably not quite right, but it should do as a start...
+ //Anders
+
+ setProbMax(20*(getArg(3)*getArg(3)+getArg(5)*getArg(5)));
+
+}
+
+EvtDecayBase* EvtSTSCP::clone(){
+
+ return new EvtSTSCP;
+
+}
+
+void EvtSTSCP::init(){
+
+ // check that there are 7 arguments
+ checkNArg(7);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::TENSOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+}
+
+
+void EvtSTSCP::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ EvtParticle *t1;
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ t1 = p->getDaug(0);
+ EvtVector4R momt = t1->getP4();
+ EvtVector4R moms = p->getDaug(1)->getP4();
+ double masst = t1->mass();
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ double m_parent = p->mass();
+
+ EvtComplex amp;
+
+ EvtComplex A,Abar;
+
+ A=EvtComplex(getArg(3)*cos(getArg(4)),getArg(3)*sin(getArg(4)));
+ Abar=EvtComplex(getArg(5)*cos(getArg(6)),getArg(5)*sin(getArg(6)));
+
+ if (other_b==B0B){
+ amp=A*cos(getArg(1)*t/(2*EvtConst::c))+
+ EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ getArg(2)*EvtComplex(0.0,1.0)*Abar*sin(getArg(1)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+ amp=A*EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(1)*t/(2*EvtConst::c))+
+ getArg(2)*Abar*cos(getArg(1)*t/(2*EvtConst::c));
+ }
+
+ EvtVector4R p4_parent;
+
+ p4_parent=momt+moms;
+
+ double norm=masst*masst/(m_parent*momt.d3mag()*momt.d3mag());
+
+
+ vertex(0,amp*norm*t1->epsTensorParent(0).cont1(p4_parent)*p4_parent);
+ vertex(1,amp*norm*t1->epsTensorParent(1).cont1(p4_parent)*p4_parent);
+ vertex(2,amp*norm*t1->epsTensorParent(2).cont1(p4_parent)*p4_parent);
+ vertex(3,amp*norm*t1->epsTensorParent(3).cont1(p4_parent)*p4_parent);
+ vertex(4,amp*norm*t1->epsTensorParent(4).cont1(p4_parent)*p4_parent);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSTSCP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSTSCP_HH
+#define EVTSTSCP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSTSCP:public EvtDecayAmp {
+
+public:
+
+ EvtSTSCP() {}
+ virtual ~EvtSTSCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Module: EvtSVPCP.cc
+//
+// Description: Routine to decay scalar -> vectors+photon
+// including CP violation effects
+//
+// Modification history:
+//
+// Maurizio pierini Nov 11, 2003 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtTensor3C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenModels/EvtSVPCP.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSVPCP::~EvtSVPCP() {}
+
+std::string EvtSVPCP::getName(){
+
+ return "SVP_CP";
+
+}
+
+
+EvtDecayBase* EvtSVPCP::clone(){
+
+ return new EvtSVPCP;
+
+}
+
+void EvtSVPCP::initProbMax(){
+
+ setProbMax(2*(getArg(3)*getArg(3)+getArg(5)*getArg(5)));
+
+}
+
+
+void EvtSVPCP::init(){
+
+ // check that there are 7 arguments
+ checkNArg(7);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::PHOTON);
+
+}
+
+void EvtSVPCP::decay( EvtParticle *p ){
+
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ EvtComplex G1P,G1M, G1_T_even, G1_T_odd;
+
+ double norm = getArg(3)*getArg(3)+getArg(5)*getArg(5);
+
+ G1P=EvtComplex(getArg(3)*cos(getArg(4))/norm,getArg(3)*sin(getArg(4))/norm);
+ G1M=EvtComplex(getArg(5)*cos(getArg(6))/norm,getArg(5)*sin(getArg(6))/norm);
+
+ G1_T_even = (G1P+G1M)/sqrt(2.0);
+ G1_T_odd = (G1P-G1M)/sqrt(2.0);
+
+ EvtComplex lambda_km =EvtComplex(cos(-2*getArg(0)),sin(-2*getArg(0)));
+
+ double cdmt=cos(getArg(1)*t/(2*EvtConst::c));
+ double sdmt=sin(getArg(1)*t/(2*EvtConst::c));
+
+ EvtComplex cG1_T_even,cG1_T_odd;
+
+ if (other_b==B0B){
+ cG1_T_even = G1_T_even*(cdmt+lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1_T_odd = G1_T_odd*(cdmt-lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ }
+ if (other_b==B0){
+ cG1_T_even = G1_T_even*(cdmt+(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1_T_odd =-G1_T_odd*(cdmt-(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+ }
+
+ EvtComplex hp, hm, h0;
+
+ // This part is adopted from EvtSVVHel and since there is
+ // a photon that can not have helicity 0 this is put in by
+ // setting the h0 amplitude to 0.
+ hm=(cG1_T_even-cG1_T_odd)/sqrt(2.0);
+ hp=(cG1_T_even+cG1_T_odd)/sqrt(2.0);
+ h0=EvtComplex(0.0,0.0);
+
+ EvtParticle *v1,*ph;
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ v1 = p->getDaug(0);
+ ph = p->getDaug(1);
+ EvtVector4R momv1 = v1->getP4();
+ EvtVector4R momph = ph->getP4();
+
+ EvtTensor4C d,g;
+
+ g.setdiag(1.0,-1.0,-1.0,-1.0);
+
+ EvtVector4R v,vp;
+
+ v=momv1/momv1.d3mag();
+ vp=(momv1+momph)/(momv1+momph).mass();
+
+ d=((1.0/sqrt(3.0))*(h0-(hp+hm))*(-1.0/sqrt(3.0)))*g+
+ ((1.0/sqrt(2.0))*(hp-hm)*EvtComplex(0.0,1.0)*(sqrt(1.0/2.0)))*dual(directProd(v,vp))+
+ (sqrt(2.0/3.0)*(h0+0.5*(hp+hm))*sqrt(3.0/2.0))*(directProd(v,v)+(1.0/3.0)*g);
+
+ EvtVector4C ep0,ep1,ep2;
+
+ ep0=d.cont1(v1->eps(0).conj());
+ ep1=d.cont1(v1->eps(1).conj());
+ ep2=d.cont1(v1->eps(2).conj());
+
+ EvtVector4C ep20,ep21,ep22;
+
+ ep20=ph->epsParentPhoton(0).conj();
+ ep21=ph->epsParentPhoton(1).conj();
+
+ vertex(0,0,ep0*ep20);
+ vertex(0,1,ep0*ep21);
+
+ vertex(1,0,ep1*ep20);
+ vertex(1,1,ep1*ep21);
+
+ vertex(2,0,ep2*ep20);
+ vertex(2,1,ep2*ep21);
+
+
+ return ;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+// Module: EvtSVPCP.cc
+//
+// Description: Routine to decay scalar -> vectors+photon
+// including CP violation effects
+//
+// Modification history:
+//
+// Maurizio pierini Nov 11, 2003 Module created
+//
+//------------------------------------------------------------------------
+//
+
+#ifndef EVTSVPCP_HH
+#define EVTSVPCP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+//Class to handle decays of the form SCALAR ->VECTOR PHOTON
+//where the helicity amplitudes must be specified. The
+//first and third arguements are the magnetudes of the H+
+//and H- helicity amplitudes respectively. The second and
+//fourth arguements are the phases.
+//Calls EvtSVPHel.
+
+class EvtSVPCP:public EvtDecayAmp {
+
+public:
+
+ EvtSVPCP() {}
+ virtual ~EvtSVPCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+ void decay(EvtParticle *p);
+ static void SVPHel(EvtParticle *parent,EvtAmp& amp,EvtId n_v1,EvtId n_v2,
+ const EvtComplex& hp,const EvtComplex& hm);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVPHelAmp.cc
+//
+// Description: Routine to decay scalar -> vectors+photon
+// by specifying the helicity amplitudes
+//
+// Modification history:
+//
+// RYD July 26, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtComplex.hh"
+#include "EvtGenModels/EvtSVPHelAmp.hh"
+#include <string>
+
+EvtSVPHelAmp::~EvtSVPHelAmp() {}
+
+std::string EvtSVPHelAmp::getName(){
+
+ return "SVP_HELAMP";
+
+}
+
+
+EvtDecayBase* EvtSVPHelAmp::clone(){
+
+ return new EvtSVPHelAmp;
+
+}
+
+void EvtSVPHelAmp::initProbMax(){
+
+ setProbMax(getArg(0)*getArg(0)+getArg(2)*getArg(2));
+
+}
+
+
+void EvtSVPHelAmp::init(){
+
+ // check that there are 4 arguments
+ checkNArg(4);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::PHOTON);
+
+}
+
+void EvtSVPHelAmp::decay( EvtParticle *p ){
+
+ EvtComplex hp(getArg(0)*cos(getArg(1)),getArg(0)*sin(getArg(1)));
+ EvtComplex hm(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+
+
+ // Routine to decay a vector into a vector and scalar. Started
+ // by ryd on Oct 17, 1996.
+
+
+ // This routine is adopted from EvtSVVHel and since there is
+ // a photon that can not have helicity 0 this is put in by
+ // setting the h0 amplitude to 0.
+ EvtComplex h0=EvtComplex(0.0,0.0);
+
+ EvtParticle *v1,*ph;
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ v1 = p->getDaug(0);
+ ph = p->getDaug(1);
+ EvtVector4R momv1 = v1->getP4();
+ EvtVector4R momph = ph->getP4();
+
+ EvtTensor4C d,g;
+
+ g.setdiag(1.0,-1.0,-1.0,-1.0);
+
+ EvtVector4R v,vp;
+
+ v=momv1/momv1.d3mag();
+ vp=(momv1+momph)/(momv1+momph).mass();
+
+ d=((1.0/sqrt(3.0))*(h0-(hp+hm))*(-1.0/sqrt(3.0)))*g+
+ ((1.0/sqrt(2.0))*(hp-hm)*EvtComplex(0.0,1.0)*(sqrt(1.0/2.0)))*dual(directProd(v,vp))+
+ (sqrt(2.0/3.0)*(h0+0.5*(hp+hm))*sqrt(3.0/2.0))*(directProd(v,v)+(1.0/3.0)*g);
+
+ EvtVector4C ep0,ep1,ep2;
+
+ ep0=d.cont1(v1->eps(0).conj());
+ ep1=d.cont1(v1->eps(1).conj());
+ ep2=d.cont1(v1->eps(2).conj());
+
+ EvtVector4C ep20,ep21,ep22;
+
+ ep20=ph->epsParentPhoton(0).conj();
+ ep21=ph->epsParentPhoton(1).conj();
+
+ vertex(0,0,ep0*ep20);
+ vertex(0,1,ep0*ep21);
+
+ vertex(1,0,ep1*ep20);
+ vertex(1,1,ep1*ep21);
+
+ vertex(2,0,ep2*ep20);
+ vertex(2,1,ep2*ep21);
+
+
+ return ;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVPHelAmp.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVPHELAMP_HH
+#define EVTSVPHELAMP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+//Class to handle decays of the form SCALAR ->VECTOR PHOTON
+//where the helicity amplitudes must be specified. The
+//first and third arguements are the magnetudes of the H+
+//and H- helicity amplitudes respectively. The second and
+//fourth arguements are the phases.
+//Calls EvtSVPHel.
+
+class EvtSVPHelAmp:public EvtDecayAmp {
+
+public:
+
+ EvtSVPHelAmp() {}
+ virtual ~EvtSVPHelAmp();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVS.cc
+//
+// Description: Routine to decay scalar -> vector + scalar
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenModels/EvtSVS.hh"
+#include <string>
+
+EvtSVS::~EvtSVS() {}
+
+std::string EvtSVS::getName(){
+
+ return "SVS";
+
+}
+
+
+EvtDecayBase* EvtSVS::clone(){
+
+ return new EvtSVS;
+
+}
+
+void EvtSVS::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+
+}
+
+
+
+void EvtSVS::initProbMax(){
+
+ setProbMax(1.0);
+
+}
+
+void EvtSVS::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *v;
+ v = p->getDaug(0);
+ double massv = v->mass();
+ EvtVector4R momv = v->getP4();
+ EvtVector4R moms = p->getDaug(1)->getP4();
+ double m_parent = p->mass();
+ EvtVector4R p4_parent = momv+moms;
+
+ double norm=massv/(momv.d3mag()*m_parent);
+ p4_parent = norm*p4_parent;
+ vertex(0,p4_parent*(v->epsParent(0)));
+ vertex(1,p4_parent*(v->epsParent(1)));
+ vertex(2,p4_parent*(v->epsParent(2)));
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVS.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVS_HH
+#define EVTSVS_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+//Class to handle decays of the form SCALAR->VECTOR SCALAR
+//Calls EvtScalarToVectorScalar.
+
+class EvtSVS:public EvtDecayAmp {
+
+public:
+
+ EvtSVS() {}
+ virtual ~EvtSVS();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVSCP.cc
+//
+// Description: Routine to decay scalar -> vectors scalar
+// and has CP violation.
+//
+// Modification history:
+//
+// RYD Febuary 10, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSVSCP.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSVSCP::~EvtSVSCP() {}
+
+std::string EvtSVSCP::getName(){
+
+ return "SVS_CP";
+
+}
+
+
+EvtDecayBase* EvtSVSCP::clone(){
+
+ return new EvtSVSCP;
+
+}
+
+void EvtSVSCP::init(){
+
+ // check that there are 7 arguments
+ checkNArg(7);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+
+}
+
+
+void EvtSVSCP::initProbMax(){
+
+ //This is probably not quite right, but it should do as a start...
+ //Anders
+
+ setProbMax(2*(getArg(3)*getArg(3)+getArg(5)*getArg(5)));
+
+}
+
+
+void EvtSVSCP::decay( EvtParticle *p ){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ EvtParticle *v;
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ v = p->getDaug(0);
+ EvtVector4R momv = v->getP4();
+ EvtVector4R moms = p->getDaug(1)->getP4();
+ double massv = v->mass();
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ EvtComplex amp;
+
+ EvtComplex A,Abar;
+
+ A=EvtComplex(getArg(3)*cos(getArg(4)),getArg(3)*sin(getArg(4)));
+ Abar=EvtComplex(getArg(5)*cos(getArg(6)),getArg(5)*sin(getArg(6)));
+
+ if (other_b==B0B){
+ amp=A*cos(getArg(1)*t/(2*EvtConst::c))+
+ EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ getArg(2)*EvtComplex(0.0,1.0)*Abar*sin(getArg(1)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+ amp=A*EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(1)*t/(2*EvtConst::c))+
+ getArg(2)*Abar*cos(getArg(1)*t/(2*EvtConst::c));
+ }
+
+ EvtVector4R p4_parent;
+
+ p4_parent=momv+moms;
+
+ double norm=massv/(momv.d3mag()*p4_parent.mass());
+
+ vertex(0,amp*norm*p4_parent*(v->epsParent(0)));
+ vertex(1,amp*norm*p4_parent*(v->epsParent(1)));
+ vertex(2,amp*norm*p4_parent*(v->epsParent(2)));
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVSCP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVSCP_HH
+#define EVTSVSCP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSVSCP:public EvtDecayAmp {
+
+public:
+
+ EvtSVSCP() {}
+ virtual ~EvtSVSCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Caltech, UCSB
+//
+// Module: EvtSVSCPLH.cc
+//
+// Description: The decay of a scalar to a scalar and a vector particle are
+// performed with CP violation and different widths for
+// the cp even and odd states. E.g. B->J/psi K_S.
+//
+// Modification history:
+//
+// Ryd March 29, 2001 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSVSCPLH.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+using std::endl;
+
+EvtSVSCPLH::~EvtSVSCPLH() {}
+
+std::string EvtSVSCPLH::getName(){
+
+ return "SVS_CPLH";
+
+}
+
+
+EvtDecayBase* EvtSVSCPLH::clone(){
+
+ return new EvtSVSCPLH;
+
+}
+
+void EvtSVSCPLH::init(){
+
+ // check that there are 8 arguments
+ checkNArg(8);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+ static double ctau=EvtPDL::getctau(EvtPDL::getId("B0"));
+
+ // hbar/s
+ _dm=getArg(0);
+ _dgamma=EvtConst::c*getArg(1)/ctau;
+
+ _qop=getArg(2)*exp(EvtComplex(0.0,getArg(3)));
+
+ _poq=1.0/_qop;
+
+ _Af=getArg(4)*exp(EvtComplex(0.0,getArg(5)));
+ _Abarf=getArg(6)*exp(EvtComplex(0.0,getArg(7)));
+
+ if (verbose()){
+ report(INFO,"EvtGen")<<":EvtSVSCPLH:dm="<<_dm<<endl;
+ report(INFO,"EvtGen")<<":EvtSVSCPLH:dGamma="<<_dgamma<<endl;
+ report(INFO,"EvtGen")<<":EvtSVSCPLH:q/p="<<_qop<<endl;
+ report(INFO,"EvtGen")<<":EvtSVSCPLH:Af="<<_Af<<endl;
+ report(INFO,"EvtGen")<<":EvtSVSCPLH:Abarf="<<_Abarf<<endl;
+ }
+
+
+}
+
+void EvtSVSCPLH::initProbMax(){
+
+ //This is probably not quite right, but it should do as a start...
+ //Anders
+
+ setProbMax(4.0*(getArg(4)*getArg(4)+getArg(6)*getArg(6)));
+
+}
+
+void EvtSVSCPLH::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b,0.5);
+
+ //convert time from mm to seconds
+ t/=EvtConst::c;
+
+ //sign convention is dm=Mheavy-Mlight
+ // dGamma=Gammalight-Gammaheavy
+ //such that in the standard model both of these are positive.
+ EvtComplex gp=0.5*(exp(EvtComplex(0.25*t*_dgamma,-0.5*t*_dm))+exp(EvtComplex(-0.25*t*_dgamma,0.5*t*_dm)));
+ EvtComplex gm=0.5*(exp(EvtComplex(0.25*t*_dgamma,-0.5*t*_dm))-exp(EvtComplex(-0.25*t*_dgamma,0.5*t*_dm)));
+
+ EvtComplex amp;
+
+ if (other_b==B0B){
+ amp=gp*_Af+_qop*gm*_Abarf;
+ }
+ else if (other_b==B0){
+ amp=gp*_Abarf+_poq*gm*_Af;
+ }
+ else{
+ report(ERROR,"EvtGen") << "other_b was not B0 or B0B!"<<endl;
+ ::abort();
+ }
+
+ EvtVector4R p4_parent=p->getP4Restframe();;
+
+ double norm=p->getDaug(0)->mass()/(p->getDaug(0)->getP4().d3mag()*p4_parent.mass());
+
+ EvtParticle* v=p->getDaug(0);
+
+ vertex(0,amp*norm*(p4_parent*(v->epsParent(0))));
+ vertex(1,amp*norm*(p4_parent*(v->epsParent(1))));
+ vertex(2,amp*norm*(p4_parent*(v->epsParent(2))));
+
+
+ return ;
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1999 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVSCPLH.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Ryd March 29, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVSCPLH_HH
+#define EVTSVSCPLH_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtComplex.hh"
+
+class EvtParticle;
+
+class EvtSVSCPLH:public EvtDecayAmp {
+
+public:
+
+ EvtSVSCPLH() {}
+ virtual ~EvtSVSCPLH();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+
+ void decay(EvtParticle *p);
+
+
+private:
+
+ EvtComplex _Af,_Abarf;
+ EvtComplex _qop,_poq;
+
+ double _dm;
+ double _dgamma;
+
+
+
+
+};
+
+#endif
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVSCPiso.cc
+//
+// Description: Routine to decay scalar -> vectors scalar
+// with CP violation and isospin amplitudes.
+// More specifically, it is indended to handle
+// decays like B->rho pi and B->a1 pi.
+//
+// Modification history:
+//
+// RYD/NK Febuary 16, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenModels/EvtSVSCPiso.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSVSCPiso::~EvtSVSCPiso() {}
+
+std::string EvtSVSCPiso::getName(){
+
+ return "SVS_CP_ISO";
+
+}
+
+
+EvtDecayBase* EvtSVSCPiso::clone(){
+
+ return new EvtSVSCPiso;
+
+}
+
+void EvtSVSCPiso::init(){
+
+ // check that there are 26 arguments
+ checkNArg(26);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+}
+
+
+void EvtSVSCPiso::initProbMax(){
+
+//this might need some revision..
+
+if ((EvtPDL::chg3(getDaug(0)) > 0) && (EvtPDL::chg3(getDaug(1)) == 0)) {
+ setProbMax(2.0*(getArg(3)*getArg(3) + 4.0*getArg(23)*getArg(23)));
+}
+
+if ((EvtPDL::chg3(getDaug(0)) < 0) && (EvtPDL::chg3(getDaug(1)) == 0)) {
+ setProbMax(2.0*(getArg(5)*getArg(5) + 4.0*getArg(25)*getArg(25)));
+}
+
+if ((EvtPDL::chg3(getDaug(0)) == 0) && (EvtPDL::chg3(getDaug(1)) > 0)) {
+ setProbMax(2.0*(getArg(7)*getArg(7) + 4.0*getArg(23)*getArg(23)));
+}
+
+if ((EvtPDL::chg3(getDaug(0)) == 0) && (EvtPDL::chg3(getDaug(1)) < 0)) {
+ setProbMax(2.0*(getArg(9)*getArg(9) + 4.0*getArg(25)*getArg(25)));
+}
+
+if ((EvtPDL::chg3(getDaug(0)) > 0) && (EvtPDL::chg3(getDaug(1)) < 0)) {
+ setProbMax(2.0*(getArg(11)*getArg(11) + getArg(23)*getArg(23) +
+ getArg(19)*getArg(19) + getArg(13)*getArg(13) +
+ getArg(25)*getArg(25) + getArg(21)*getArg(21)));
+}
+
+if ((EvtPDL::chg3(getDaug(0)) < 0) && (EvtPDL::chg3(getDaug(1)) > 0)) {
+ setProbMax(2.0*(getArg(15)*getArg(15) + getArg(23)*getArg(23) +
+ getArg(19)*getArg(19) + getArg(17)*getArg(17) +
+ getArg(25)*getArg(25) + getArg(21)*getArg(21)));
+}
+
+if ((EvtPDL::chg3(getDaug(0)) == 0) && (EvtPDL::chg3(getDaug(1)) == 0)) {
+ setProbMax(2.0*(getArg(7)*getArg(7) + getArg(3)*getArg(3) + getArg(11)*getArg(11) +
+ getArg(15)*getArg(15) + 4.0*getArg(19)*getArg(19) + getArg(9)*getArg(9)+
+ getArg(5)*getArg(5) + getArg(13)*getArg(13) + getArg(17)*getArg(17) +
+ 4.0*getArg(21)*getArg(21)));
+}
+
+}
+
+
+void EvtSVSCPiso::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+ int charged(0);
+
+ int first_time=0;
+ int flip=0;
+ EvtId ds[2];
+
+
+//randomly generate the tag (B0 or B0B)
+
+ double tag = EvtRandom::Flat(0.0,1.0);
+ if (tag < 0.5) {
+
+ EvtCPUtil::OtherB(p,t,other_b,1.0);
+ other_b = B0;
+ }
+ else {
+
+ EvtCPUtil::OtherB(p,t,other_b,0.0);
+ other_b = B0B;
+ }
+
+ if (p->getNDaug()==0) first_time=1;
+
+ if (first_time){
+ if (EvtRandom::Flat(0.0,1.0)<getArg(3)) flip=1;
+ }
+ else{
+ if (getDaug(0)!=p->getDaug(0)->getId()) flip=1;
+ }
+
+ if (!flip) {
+ ds[0]=getDaug(0);
+ ds[1]=getDaug(1);
+ }
+ else{
+ ds[0]=EvtPDL::chargeConj(getDaug(0));
+ ds[1]=EvtPDL::chargeConj(getDaug(1));
+ }
+
+ p->initializePhaseSpace(getNDaug(),ds);
+
+ EvtParticle *v,*s;
+ v=p->getDaug(0);
+ s=p->getDaug(1);
+
+ EvtComplex amp;
+
+ EvtComplex A_f,Abar_f;
+ EvtComplex A_fbar,Abar_fbar;
+ EvtComplex Apm, Apm_bar, Amp, Amp_bar;
+
+ EvtComplex Tp0, Tp0_bar, T0p, T0p_bar,Tpm, Tpm_bar, Tmp, Tmp_bar;
+ EvtComplex P1, P1_bar, P0, P0_bar;
+
+ Tp0 = EvtComplex(getArg(3)*cos(getArg(4)),getArg(3)*sin(getArg(4)));
+ Tp0_bar = EvtComplex(getArg(5)*cos(getArg(6)),getArg(5)*sin(getArg(6)));
+ T0p = EvtComplex(getArg(7)*cos(getArg(8)),getArg(7)*sin(getArg(8)));
+ T0p_bar = EvtComplex(getArg(9)*cos(getArg(10)),getArg(9)*sin(getArg(10)));
+ Tpm = EvtComplex(getArg(11)*cos(getArg(12)),getArg(11)*sin(getArg(12)));
+ Tpm_bar = EvtComplex(getArg(13)*cos(getArg(14)),getArg(13)*sin(getArg(14)));
+ Tmp = EvtComplex(getArg(15)*cos(getArg(16)),getArg(15)*sin(getArg(16)));
+ Tmp_bar = EvtComplex(getArg(17)*cos(getArg(18)),getArg(17)*sin(getArg(18)));
+ P0 = EvtComplex(getArg(19)*cos(getArg(20)),getArg(19)*sin(getArg(20)));
+ P0_bar = EvtComplex(getArg(21)*cos(getArg(22)),getArg(21)*sin(getArg(22)));
+ P1 = EvtComplex(getArg(23)*cos(getArg(24)),getArg(23)*sin(getArg(24)));
+ P1_bar = EvtComplex(getArg(25)*cos(getArg(26)),getArg(25)*sin(getArg(26)));
+
+
+//***********************charged modes****************************
+
+ if ((EvtPDL::chg3(getDaug(0)) > 0 ) && (EvtPDL::chg3(getDaug(1)) == 0)) {
+
+//V+ S0, so T+0 + 2 P1
+
+ charged = 1;
+ A_f = Tp0 + 2.0*P1;
+ }
+
+ if ((EvtPDL::chg3(getDaug(0)) < 0 ) && (EvtPDL::chg3(getDaug(1)) == 0)) {
+
+//V- S0, so T+0_bar + 2P1_bar
+
+ charged = 1;
+ A_f = Tp0_bar + 2.0*P1_bar;
+ }
+
+ if ((EvtPDL::chg3(getDaug(0)) == 0 ) && (EvtPDL::chg3(getDaug(1)) > 0)) {
+
+//V0 S+, so T0+ - 2 P1
+
+ charged = 1;
+ A_f = T0p - 2.0*P1;
+ }
+
+ if ((EvtPDL::chg3(getDaug(0)) == 0 ) && (EvtPDL::chg3(getDaug(1)) < 0)) {
+
+//V0 S-, so T0+_bar - 2 P1_bar
+
+ charged = 1;
+ A_f = T0p_bar - 2.0*P1_bar;
+ }
+
+
+//***********************neutral modes***************************
+
+
+//V+ S-, so Af = T+- + P1 + P0
+Apm = Tpm + P1 + P0;
+Apm_bar = Tpm_bar + P1_bar + P0_bar;
+
+//V- S+, so Af = T-+ - P1 + P0
+Amp = Tmp - P1 + P0;
+Amp_bar = Tmp_bar - P1_bar + P0;
+
+
+ if ((EvtPDL::chg3(getDaug(0)) > 0 ) && (EvtPDL::chg3(getDaug(1)) < 0)) {
+
+//V+ S-
+ charged = 0;
+ A_f = Apm;
+ Abar_f = Apm_bar;
+ A_fbar = Amp;
+ Abar_fbar = Amp_bar;
+
+ }
+
+ if ((EvtPDL::chg3(getDaug(0)) < 0 ) && (EvtPDL::chg3(getDaug(1)) > 0)) {
+
+//V- S+
+ charged = 0;
+ A_f = Amp;
+ Abar_f = Amp_bar;
+ A_fbar = Apm;
+ Abar_fbar = Apm_bar;
+
+ }
+
+ if ((EvtPDL::chg3(getDaug(0)) == 0 ) && (EvtPDL::chg3(getDaug(1)) == 0)) {
+
+//V0 S0
+ charged = 0;
+ A_f = T0p + Tp0 - Tpm - Tmp - 2.0*P0 ;
+ Abar_f = T0p_bar + Tp0_bar - Tpm_bar - Tmp_bar - 2.0*P0_bar;
+ A_fbar = A_f;
+ Abar_fbar = Abar_f;
+
+ }
+
+if (charged==0) {
+
+ if (!flip) {
+ if (other_b==B0B){
+
+ amp=A_f*cos(getArg(1)*t/(2*EvtConst::c))+
+ EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*Abar_f*sin(getArg(1)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+
+ amp=A_f*EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(1)*t/(2*EvtConst::c))+
+ Abar_f*cos(getArg(1)*t/(2*EvtConst::c));
+ }
+ }
+ else{
+ if (other_b==B0B){
+
+ amp=A_fbar*cos(getArg(1)*t/(2*EvtConst::c))+
+ EvtComplex(cos(-2.0*getArg(0)),sin(-2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*Abar_fbar*sin(getArg(1)*t/(2*EvtConst::c));
+ }
+ if (other_b==B0){
+
+ amp=A_fbar*EvtComplex(cos(2.0*getArg(0)),sin(2.0*getArg(0)))*
+ EvtComplex(0.0,1.0)*sin(getArg(1)*t/(2*EvtConst::c))+
+ Abar_fbar*cos(getArg(1)*t/(2*EvtConst::c));
+ }
+ }
+
+}
+else amp = A_f;
+
+ EvtVector4R p4_parent;
+
+ p4_parent=v->getP4()+s->getP4();
+
+ double norm=1.0/v->getP4().d3mag();
+
+ vertex(0,amp*norm*p4_parent*(v->epsParent(0)));
+ vertex(1,amp*norm*p4_parent*(v->epsParent(1)));
+ vertex(2,amp*norm*p4_parent*(v->epsParent(2)));
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVSCPiso.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVSCPISO_HH
+#define EVTSVSCPISO_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSVSCPiso:public EvtDecayAmp {
+
+public:
+
+ EvtSVSCPiso() {}
+ virtual ~EvtSVSCPiso();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVSNONCPEIGEN.cc
+//
+// Description: Routine to decay scalar -> vectors scalar
+// and has CP violation.
+//
+// Modification history:
+//
+// RYD April 26, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenModels/EvtSVSNONCPEIGEN.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSVSNONCPEIGEN::~EvtSVSNONCPEIGEN() {}
+
+std::string EvtSVSNONCPEIGEN::getName(){
+
+ return "SVS_NONCPEIGEN";
+
+}
+
+
+EvtDecayBase* EvtSVSNONCPEIGEN::clone(){
+
+ return new EvtSVSNONCPEIGEN;
+
+}
+
+void EvtSVSNONCPEIGEN::init(){
+
+ // check that there are 11 arguments
+ checkNArg(11,7);
+ checkNDaug(2);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+ _dm=getArg(1);
+ _phickm=2*getArg(0)+getArg(2);
+
+ _A_f=EvtComplex(getArg(3)*cos(getArg(4)),getArg(3)*sin(getArg(4)));
+ _Abar_f=EvtComplex(getArg(5)*cos(getArg(6)),getArg(5)*sin(getArg(6)));
+
+ _A_fbar=_Abar_f;
+ _Abar_fbar=_A_f;
+
+ if (getNArg()==11){
+ _A_fbar=EvtComplex(getArg(7)*cos(getArg(8)),getArg(7)*sin(getArg(8)));
+ _Abar_fbar=EvtComplex(getArg(9)*cos(getArg(10)),getArg(9)*sin(getArg(10)));
+ }
+}
+
+void EvtSVSNONCPEIGEN::initProbMax() {
+ double theProbMax =
+ abs(_A_f) * abs(_A_f) +
+ abs(_Abar_f) * abs(_Abar_f) +
+ abs(_A_fbar) * abs(_A_fbar) +
+ abs(_Abar_fbar) * abs(_Abar_fbar);
+
+ setProbMax(theProbMax);
+}
+
+void EvtSVSNONCPEIGEN::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+ EvtId daugs[2];
+
+ // MB: flip selects the final of the decay
+ int flip = ((p->getId() == B0) ? 0 : 1);
+ daugs[0]=getDaug(0);
+ daugs[1]=getDaug(1);
+ p->initializePhaseSpace(2, daugs);
+
+ EvtCPUtil::OtherB(p,t,other_b,0.5);
+
+ EvtComplex amp;
+ double dmt2 = (_dm * t) / (2 * EvtConst::c);
+ EvtComplex ePlusIPhi(cos(_phickm), sin(_phickm));
+ EvtComplex eMinusIPhi(cos(-_phickm), -sin(_phickm));
+
+ // flip == 0 : D-rho+
+ // flip == 1 : D+rho-
+
+ if (!flip) {
+ if (other_b==B0B){
+ // At t=0 we have a B0
+ amp = cos(dmt2)*_A_f + eMinusIPhi*EvtComplex(0.0,sin(dmt2))*_Abar_f;
+ }
+ if (other_b==B0){
+ // At t=0 we have a B0bar
+ amp = ePlusIPhi*EvtComplex(0.0,sin(dmt2))*_A_f + cos(dmt2)*_Abar_f;
+ }
+ }
+ else{
+ if (other_b==B0B){
+ // At t=0 we have a B0
+ amp = cos(dmt2)*_A_fbar + eMinusIPhi*EvtComplex(0.0,sin(dmt2))*_Abar_fbar;
+ }
+ if (other_b==B0){
+ // At t=0 we have a B0bar
+ amp = ePlusIPhi*EvtComplex(0.0,sin(dmt2))*_A_fbar + cos(dmt2)*_Abar_fbar;
+ }
+ }
+
+
+ EvtParticle *v;
+ v= p->getDaug(0);
+
+ EvtVector4R momv = p->getDaug(0)->getP4();
+ EvtVector4R moms = p->getDaug(1)->getP4();
+ EvtVector4R p4_parent=momv+moms;
+
+ double norm=momv.mass()/(momv.d3mag()*p->mass());
+
+ vertex(0,amp*norm*p4_parent*(v->epsParent(0)));
+ vertex(1,amp*norm*p4_parent*(v->epsParent(1)));
+ vertex(2,amp*norm*p4_parent*(v->epsParent(2)));
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVSNONCPEIGEN.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVSNONCPEIGEN_HH
+#define EVTSVSNONCPEIGEN_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSVSNONCPEIGEN:public EvtDecayAmp {
+
+public:
+
+ EvtSVSNONCPEIGEN() {}
+ virtual ~EvtSVSNONCPEIGEN();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+
+ void decay(EvtParticle *p);
+
+private:
+
+ EvtComplex _A_f;
+ EvtComplex _Abar_f;
+
+ EvtComplex _A_fbar;
+ EvtComplex _Abar_fbar;
+
+ double _dm;
+ double _phickm;
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVVCP.cc
+//
+// Description: The decay of a scalar to two vector particles are
+// performed with CP violation. E.g. B->J/psi K*.
+//
+// Modification history:
+//
+// RYD January 19, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtSVVHelAmp.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSVVCP.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSVVCP::~EvtSVVCP() {}
+
+std::string EvtSVVCP::getName(){
+
+ return "SVV_CP";
+
+}
+
+
+EvtDecayBase* EvtSVVCP::clone(){
+
+ return new EvtSVVCP;
+
+}
+
+void EvtSVVCP::init(){
+
+ // check that there are 9 arguments
+ checkNArg(9);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::VECTOR);
+
+}
+
+void EvtSVVCP::initProbMax(){
+
+ //This is probably not quite right, but it should do as a start...
+ //Anders
+
+ setProbMax(2*(getArg(3)*getArg(3)+getArg(5)*getArg(5)+getArg(7)*getArg(7)));
+
+}
+
+void EvtSVVCP::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ EvtComplex G0P,G1P,G1M;
+
+ G1P=EvtComplex(getArg(3)*cos(getArg(4)),getArg(3)*sin(getArg(4)));
+ G0P=EvtComplex(getArg(5)*cos(getArg(6)),getArg(5)*sin(getArg(6)));
+ G1M=EvtComplex(getArg(7)*cos(getArg(8)),getArg(7)*sin(getArg(8)));
+
+ EvtComplex lambda_km=EvtComplex(cos(-2*getArg(0)),sin(-2*getArg(0)));
+
+ double cdmt=cos(getArg(1)*t/(2*EvtConst::c));
+ double sdmt=sin(getArg(1)*t/(2*EvtConst::c));
+
+ EvtComplex cG0P,cG1P,cG1M;
+
+ if (other_b==B0B){
+ cG0P=G0P*(cdmt+lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1P=G1P*(cdmt+lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1M=G1M*(cdmt-lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ }
+ if (other_b==B0){
+ cG0P=G0P*(cdmt+(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1P=G1P*(cdmt+(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1M=-G1M*(cdmt-(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+
+ }
+
+ EvtComplex A0,AP,AM;
+
+ A0=cG0P/sqrt(2.0);
+ AP=(cG1P+cG1M)/sqrt(2.0);
+ AM=(cG1P-cG1M)/sqrt(2.0);
+
+ EvtSVVHelAmp::SVVHel(p,_amp2,getDaug(0),getDaug(1),AP,A0,AM);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVVCP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVVCP_HH
+#define EVTSVVCP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSVVCP:public EvtDecayAmp {
+
+public:
+
+ EvtSVVCP() {}
+ virtual ~EvtSVVCP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1999 Caltech, UCSB
+//
+// Module: EvtSVVCPLH.cc
+//
+// Description: The decay of a scalar to two vector particles are
+// performed with CP violation and different widths for
+// the cpe even and od states. E.g. Bs->J/psi phi.
+//
+// Modification history:
+//
+// RYD November 5, 1999 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtSVVHelAmp.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSVVCPLH.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+using std::endl;
+
+EvtSVVCPLH::~EvtSVVCPLH() {}
+
+std::string EvtSVVCPLH::getName(){
+
+ return "SVV_CPLH";
+
+}
+
+
+EvtDecayBase* EvtSVVCPLH::clone(){
+
+ return new EvtSVVCPLH;
+
+}
+
+void EvtSVVCPLH::init(){
+
+ // check that there are 9 arguments
+ checkNArg(9);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::VECTOR);
+
+}
+
+void EvtSVVCPLH::initProbMax(){
+
+ //This is probably not quite right, but it should do as a start...
+ //Anders
+
+ setProbMax(2*(getArg(3)*getArg(3)+getArg(5)*getArg(5)+getArg(7)*getArg(7)));
+
+}
+
+void EvtSVVCPLH::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId BS0=EvtPDL::getId("B_s0");
+ static EvtId BSB=EvtPDL::getId("anti-B_s0");
+
+ double t;
+ EvtId other_b;
+
+ EvtCPUtil::OtherB(p,t,other_b);
+
+ EvtComplex G0P,G1P,G1M;
+
+ G1P=EvtComplex(getArg(3)*cos(getArg(4)),getArg(3)*sin(getArg(4)));
+ G0P=EvtComplex(getArg(5)*cos(getArg(6)),getArg(5)*sin(getArg(6)));
+ G1M=EvtComplex(getArg(7)*cos(getArg(8)),getArg(7)*sin(getArg(8)));
+
+ EvtComplex lambda_km=EvtComplex(cos(2*getArg(0)),sin(2*getArg(0)));
+
+ double cdmt=cos(getArg(1)*t/(2*EvtConst::c));
+ double sdmt=sin(getArg(1)*t/(2*EvtConst::c));
+
+ EvtComplex cG0P,cG1P,cG1M;
+
+ static double ctauL=EvtPDL::getctau(EvtPDL::getId("B_s0L"));
+ static double ctauH=EvtPDL::getctau(EvtPDL::getId("B_s0H"));
+
+ //I'm not sure if the fabs() is right when t can be
+ //negative as in the case of Bs produced coherently.
+ double pt=1;
+ double mt=exp(-fabs(t*(ctauL-ctauH)/(ctauL*ctauH)));
+
+ if (other_b==BSB){
+ cG0P=pt*G0P*(cdmt+lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1P=pt*G1P*(cdmt+lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1M=mt*G1M*(cdmt-lambda_km*EvtComplex(0.0,getArg(2)*sdmt));
+ }
+ else if (other_b==BS0){
+ cG0P=pt*G0P*(cdmt+(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1P=pt*G1P*(cdmt+(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+ cG1M=-mt*G1M*(cdmt-(1.0/lambda_km)*EvtComplex(0.0,getArg(2)*sdmt));
+ }
+ else{
+ report(ERROR,"EvtGen") << "other_b was not BSB or BS0!"<<endl;
+ ::abort();
+ }
+
+ EvtComplex A0,AP,AM;
+
+ A0=cG0P/sqrt(2.0);
+ AP=(cG1P+cG1M)/sqrt(2.0);
+ AM=(cG1P-cG1M)/sqrt(2.0);
+
+ EvtSVVHelAmp::SVVHel(p,_amp2,getDaug(0),getDaug(1),AP,A0,AM);
+
+ return ;
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1999 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVVCPLH.hh
+//
+// Description:
+//
+// Modification history:
+//
+// RYD November 5, 1999 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVVCPLH_HH
+#define EVTSVVCPLH_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSVVCPLH:public EvtDecayAmp {
+
+public:
+
+ EvtSVVCPLH() {}
+ virtual ~EvtSVVCPLH();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVVHelAmp.cc
+//
+// Description: Routine to decay scalar -> 2 vectors
+// by specifying the helicity amplitudes
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector3C.hh"
+#include "EvtGenBase/EvtVector3R.hh"
+#include "EvtGenBase/EvtTensor3C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSVVHelAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+
+EvtSVVHelAmp::~EvtSVVHelAmp() {}
+
+std::string EvtSVVHelAmp::getName(){
+
+ return "SVV_HELAMP";
+
+}
+
+
+EvtDecayBase* EvtSVVHelAmp::clone(){
+
+ return new EvtSVVHelAmp;
+
+}
+
+void EvtSVVHelAmp::init(){
+
+ // check that there are 6 arguments
+ checkNArg(6);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::VECTOR);
+
+}
+
+
+void EvtSVVHelAmp::initProbMax(){
+
+ setProbMax(getArg(0)*getArg(0)+getArg(2)*getArg(2)+getArg(4)*getArg(4));
+
+}
+
+
+void EvtSVVHelAmp::decay( EvtParticle *p){
+
+ SVVHel(p,_amp2,getDaug(0),getDaug(1),
+ EvtComplex(getArg(0)*cos(getArg(1)),getArg(0)*sin(getArg(1))),
+ EvtComplex(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3))),
+ EvtComplex(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5))));
+
+ return ;
+
+}
+
+
+void EvtSVVHelAmp::SVVHel(EvtParticle *parent,EvtAmp& amp,EvtId n_v1,EvtId n_v2,
+ const EvtComplex& hp,const EvtComplex& h0,
+ const EvtComplex& hm){
+
+ // Routine to decay a vector into a vector and scalar. Started
+ // by ryd on Oct 17, 1996.
+
+ int tndaug = 2;
+ EvtId tdaug[2];
+ tdaug[0] = n_v1;
+ tdaug[1] = n_v2;
+
+
+ parent->initializePhaseSpace(tndaug,tdaug);
+
+ EvtParticle *v1,*v2;
+ v1 = parent->getDaug(0);
+ v2 = parent->getDaug(1);
+
+ EvtVector4R momv1 = v1->getP4();
+ //EvtVector4R momv2 = v2->getP4();
+
+ EvtVector3R v1dir(momv1.get(1),momv1.get(2),momv1.get(3));
+ v1dir=v1dir/v1dir.d3mag();
+
+ EvtComplex a=-0.5*(hp+hm);
+ EvtComplex b=EvtComplex(0.0,0.5)*(hp-hm);
+ EvtComplex c=h0+0.5*(hp+hm);
+
+ EvtTensor3C M=a*EvtTensor3C::id()+
+ b*eps(v1dir)+
+ c*directProd(v1dir,v1dir);
+
+ EvtVector3C t0=M.cont1(v1->eps(0).vec().conj());
+ EvtVector3C t1=M.cont1(v1->eps(1).vec().conj());
+ EvtVector3C t2=M.cont1(v1->eps(2).vec().conj());
+
+ EvtVector3C eps0=v2->eps(0).vec().conj();
+ EvtVector3C eps1=v2->eps(1).vec().conj();
+ EvtVector3C eps2=v2->eps(2).vec().conj();
+
+ amp.vertex(0,0,t0*eps0);
+ amp.vertex(0,1,t0*eps1);
+ amp.vertex(0,2,t0*eps2);
+
+ amp.vertex(1,0,t1*eps0);
+ amp.vertex(1,1,t1*eps1);
+ amp.vertex(1,2,t1*eps2);
+
+ amp.vertex(2,0,t2*eps0);
+ amp.vertex(2,1,t2*eps1);
+ amp.vertex(2,2,t2*eps2);
+
+ return ;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVVHelAmp.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVVHELAMP_HH
+#define EVTSVVHELAMP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+//Class to handle decays of the form SCALAR -> VECTOR VECTOR
+//according the the helicity amplitudes specified by the
+//user. There are 6 arguements, orders as amplitude then
+//phase for H+, H0, and H-, in that order.
+
+class EvtAmp;
+class EvtParticle;
+class EvtId;
+
+class EvtSVVHelAmp:public EvtDecayAmp {
+
+public:
+
+ EvtSVVHelAmp() {}
+ virtual ~EvtSVVHelAmp();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+ static void SVVHel(EvtParticle *parent,EvtAmp& amp,EvtId n_v1,EvtId n_v2,
+ const EvtComplex& hp, const EvtComplex& h0,
+ const EvtComplex& hm);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSVVHelCPMix.cc
+//
+// Description: Routine to decay scalar -> 2 vectors
+// by specifying the helicity amplitudes, taking appropriate
+// weak phases into account to get mixing and CP violation through
+// interference. Based on EvtSVVHelAmp. Particularly appropriate for
+// Bs->J/Psi+Phi
+//
+// Modification history:
+//
+// RYD November 24, 1996 EvtSVVHelAmp Module
+// CATMORE March 2004 Modified to EvtSVVHelCPMix
+//
+// Model takes the following as user-specified arguments:
+// deltaM, averageM - mass diference and average of light and heavy mass eigenstates (real scalars)
+// gamma, deltagamma - average width and width difference of the l and h eigenstates (real scalars)
+// delta1, delta2 - strong phases (real scalars)
+// direct weak phase (real scalar) (for Bs->JPsiPhi this will be zero)
+// weak mixing phase (real scalar) (this is equal to 2*arg(Vts Vtb) for Bs->JPsiPhi)
+// Magnitudes of helicity amplitudes as in SVV_HELAMP
+// See Phys Rev D 34 p1404 - p1417 and chapters 5 and 7 of Physics Reports 370 p537-680 for more details
+//------------------------------------------------------------------------
+//
+#ifdef WIN32
+ #pragma warning( disable : 4786 )
+ // Disable anoying warning about symbol size
+#endif
+#include <iostream>
+#include <fstream>
+#include <stdlib.h>
+#include <ctype.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtVector3C.hh"
+#include "EvtGenBase/EvtVector3R.hh"
+#include "EvtGenBase/EvtTensor3C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtSVVHelCPMix.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+
+EvtSVVHelCPMix::~EvtSVVHelCPMix() {}
+
+std::string EvtSVVHelCPMix::getName(){
+
+ return "SVVHELCPMIX";
+
+}
+
+
+EvtDecayBase* EvtSVVHelCPMix::clone(){
+
+ return new EvtSVVHelCPMix;
+
+}
+
+void EvtSVVHelCPMix::init(){
+
+ // check that there are 12 arguments
+ checkNArg(12);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::VECTOR);
+
+ hp = EvtComplex(getArg(0)*cos(getArg(1)),getArg(0)*sin(getArg(1)));
+ h0 = EvtComplex(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+ hm = EvtComplex(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
+ averageM = getArg(6);
+ deltaM = getArg(7);
+ gamma = getArg(8);
+ deltagamma = getArg(9);
+ weakmixingphase = EvtComplex(cos(getArg(10)),sin(getArg(10)));
+ weakdirectphase = EvtComplex(cos(getArg(11)),sin(getArg(11)));
+}
+
+
+void EvtSVVHelCPMix::initProbMax(){
+
+ setProbMax(getArg(0)*getArg(0)+getArg(2)*getArg(2)+getArg(4)*getArg(4));
+
+}
+
+
+void EvtSVVHelCPMix::decay( EvtParticle *p){
+
+ EvtParticle* parent = p;
+ EvtAmp& amp = _amp2;
+ EvtId n_v1 = getDaug(0);
+ EvtId n_v2 = getDaug(1);
+
+ // Routine to decay a vector into a vector and scalar. Started
+ // by ryd on Oct 17, 1996.
+ // Modified by J.Catmore to take account of CP-violation and mixing
+
+ int tndaug = 2;
+ EvtId tdaug[2];
+ EvtId Bs=EvtPDL::getId("B_s0");
+ EvtId antiBs=EvtPDL::getId("anti-B_s0");
+ tdaug[0] = n_v1;
+ tdaug[1] = n_v2;
+
+// Phase space and kinematics
+
+ parent->initializePhaseSpace(tndaug,tdaug);
+
+ EvtParticle *v1,*v2;
+ v1 = parent->getDaug(0);
+ v2 = parent->getDaug(1);
+
+ EvtVector4R momv1 = v1->getP4();
+ EvtVector4R momv2 = v2->getP4();
+
+ EvtVector3R v1dir(momv1.get(1),momv1.get(2),momv1.get(3));
+ v1dir=v1dir/v1dir.d3mag();
+
+// Definition of quantities used in construction of complex amplitudes:
+
+EvtTensor3C M; // Tensor as defined in EvtGen manual, equ 117
+EvtComplex a,b,c; // Helicity amplitudes; EvtGen manual eqns 126-128, also see Phys Lett B 369 p144-150 eqn 15
+EvtComplex deltamu = EvtComplex(deltaM, -0.5*deltagamma); // See Phys Rev D 34 p1404
+
+// conversion from times in mm/c to natural units [GeV]^-1
+double t = ((parent->getLifetime())/2.998e11)*6.58e-25;
+
+// The following two quantities defined in Phys Rev D 34 p1404
+EvtComplex fplus = EvtComplex(cos(averageM*t),-1.*sin(averageM*t))*exp(-(gamma/2.0)*t)*
+ (cos(0.5*deltaM*t)*cosh(0.25*deltagamma*t)+EvtComplex(0.0,sin(0.5*deltaM*t)*sinh(0.25*deltagamma*t)));
+EvtComplex fminus = EvtComplex(cos(averageM*t), -1.*sin(averageM*t))*exp(-(gamma/2.0)*t)*EvtComplex(0.0,1.0)*
+ (sin(0.5*deltaM*t)*cosh(0.25*deltagamma*t)-EvtComplex(0.0,1.0)*sinh(0.25*deltagamma*t)*cos(0.5*deltaM*t));
+
+// See EvtGen manual pp 106-107
+
+ a=-0.5*(hp+hm);
+ b=EvtComplex(0.0,0.5)*(hp-hm);
+ c=(h0+0.5*(hp+hm));
+
+ M=a*EvtTensor3C::id()+
+ b*eps(v1dir)+
+ c*directProd(v1dir,v1dir);
+
+ EvtVector3C t0=M.cont1(v1->eps(0).vec().conj());
+ EvtVector3C t1=M.cont1(v1->eps(1).vec().conj());
+ EvtVector3C t2=M.cont1(v1->eps(2).vec().conj());
+
+ EvtVector3C eps0=v2->eps(0).vec().conj();
+ EvtVector3C eps1=v2->eps(1).vec().conj();
+ EvtVector3C eps2=v2->eps(2).vec().conj();
+
+// We need two sets of equations, one for mesons which were in the Bs state at t=0, and another
+// for those which were in the antiBs state. Each equation consists of a sum of amplitudes - mod-squaring gives the interference terms.
+
+ EvtComplex amplSum00, amplSum01, amplSum02;
+ EvtComplex amplSum10, amplSum11, amplSum12;
+ EvtComplex amplSum20, amplSum21, amplSum22;
+
+ // First the Bs state:
+
+ if (parent->getId()==Bs) {
+
+ amplSum00 = (fplus*weakdirectphase*t0*eps0) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t0*eps0);
+ amplSum01 = (fplus*weakdirectphase*t0*eps1) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t0*eps1);
+ amplSum02 = (fplus*weakdirectphase*t0*eps2) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t0*eps2);
+
+ amplSum10 = (fplus*weakdirectphase*t1*eps0) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t1*eps0);
+ amplSum11 = (fplus*weakdirectphase*t1*eps1) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t1*eps1);
+ amplSum12 = (fplus*weakdirectphase*t1*eps2) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t1*eps2);
+
+ amplSum20 = (fplus*weakdirectphase*t2*eps0) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t2*eps0);
+ amplSum21 = (fplus*weakdirectphase*t2*eps1) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t2*eps1);
+ amplSum22 = (fplus*weakdirectphase*t2*eps2) + (fminus*(1.0/weakdirectphase)*weakmixingphase*t2*eps2);
+ }
+
+ // Now the anti-Bs state:
+
+ if (parent->getId()==antiBs) {
+
+ amplSum00 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t0*eps0) + (fplus*(1.0/weakdirectphase)*t0*eps0);
+ amplSum01 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t0*eps1) + (fplus*(1.0/weakdirectphase)*t0*eps1);
+ amplSum02 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t0*eps2) + (fplus*(1.0/weakdirectphase)*t0*eps2);
+
+ amplSum10 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t1*eps0) + (fplus*(1.0/weakdirectphase)*t1*eps0);
+ amplSum11 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t1*eps1) + (fplus*(1.0/weakdirectphase)*t1*eps1);
+ amplSum12 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t1*eps2) + (fplus*(1.0/weakdirectphase)*t1*eps2);
+
+ amplSum20 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t2*eps0) + (fplus*(1.0/weakdirectphase)*t2*eps0);
+ amplSum21 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t2*eps1) + (fplus*(1.0/weakdirectphase)*t2*eps1);
+ amplSum22 = (fminus*weakdirectphase*(1.0/weakmixingphase)*t2*eps2) + (fplus*(1.0/weakdirectphase)*t2*eps2);
+
+ }
+
+ // Now set the amplitude
+
+ amp.vertex(0,0,amplSum00);
+ report(INFO,"EvtGen") << "00: " << amplSum00 << std::endl;
+ amp.vertex(0,1,amplSum01);
+ report(INFO,"EvtGen") << "01: " << amplSum01 << std::endl;
+ amp.vertex(0,2,amplSum02);
+ report(INFO,"EvtGen") << "02: " << amplSum02 << std::endl;
+
+ amp.vertex(1,0,amplSum10);
+ report(INFO,"EvtGen") << "10: " << amplSum10 << std::endl;
+ amp.vertex(1,1,amplSum11);
+ report(INFO,"EvtGen") << "11: " << amplSum11 << std::endl;
+ amp.vertex(1,2,amplSum12);
+ report(INFO,"EvtGen") << "12: " << amplSum12 << std::endl;
+
+ amp.vertex(2,0,amplSum20);
+ report(INFO,"EvtGen") << "20: " << amplSum20 << std::endl;
+ amp.vertex(2,1,amplSum21);
+ report(INFO,"EvtGen") << "21: " << amplSum21 << std::endl;
+ amp.vertex(2,2,amplSum22);
+ report(INFO,"EvtGen") << "22: " << amplSum22 << std::endl;
+
+ return ;
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSVVHelCPMix.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module (SVV_HELAMP) created
+// CATMORE March 2004 Amendments made t
+//------------------------------------------------------------------------
+
+#ifndef EVTSVVHELCPMIX_HH
+#define EVTSVVHELCPMIX_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+//Class to handle decays of the form SCALAR -> VECTOR VECTOR
+//according the the helicity amplitudes specified by the
+//user. There are 6 arguements, orders as amplitude then
+//phase for H+, H0, and H-, in that order.
+
+class EvtAmp;
+class EvtParticle;
+class EvtId;
+
+class EvtSVVHelCPMix:public EvtDecayAmp {
+
+public:
+
+ EvtSVVHelCPMix() {}
+ virtual ~EvtSVVHelCPMix();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+
+ EvtComplex hp;
+ EvtComplex h0;
+ EvtComplex hm;
+ double averageM;
+ double deltaM;
+ double gamma;
+ double deltagamma;
+ EvtComplex strongphase1;
+ EvtComplex strongphase2;
+ EvtComplex weakmixingphase;
+ EvtComplex weakdirectphase;
+
+ void initProbMax();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Royal Holloway, University of London
+//
+// Module: EvtSVVNONCPEIGEN.cc
+//
+// Description: Routine to decay scalar -> vector vector
+// and has CP violation.
+//
+// This model does all the ckm-suppressed decays and mixing for you. It randomly 'overwrites'
+// any reco or tagging state as set in the Y(4S) decay model (VSS_(B)MIX) with its own generated states.
+//
+// As such, the corresponding dec file requires only one decay-mode description, for example:
+// Decay MyB0
+// 1.000 rho+ MyD*- SVV_NONCPEIGEN dm beta gamma 0.322 0.31 0.941 0 0.107 1.42 0.02 0 0.02 0 0.02 0 ;
+// EndDecay
+// and furthermore Y(4S) only needs to decay to B0's (or B0bar's).
+// The decay above should be a CKM-favored mode (eg. B0->D*-rho+ or B0bar->D*+rho-).
+// All ckm-suppressed decays and the mixing are derived from this line in the ::Decay function.
+//
+// There are 15 or 27 arguments. The first three are dm, phase1
+// and phase2. dm is the B0-B0bar mass difference. Phases 1
+// and 2 are the CKM weak phases relevant for the particular mode,
+// eg for B-->DstRho phase1 is beta and phase2 is gamma.
+//
+// The next arguments are the 2 amplitudes (= 12 input parameters)
+// in the order: A_f, Abar_f. In the example above, the 'A_f' amplitude now
+// stands for the ckm-favored decay 'B0->D*-rho+', and 'Abar_f' stands for 'B0bar->D*-rho+'
+//
+// Each amplitude has its 3 helicity states in the order +, 0, -, which are each
+// specified by a magnitude and a strong phase.
+//
+// The last 2 arguments A_fbar and Abar_fbar (=12 input parameters) are not necessary,
+// but can included if one wants to set them differently from A_f, Abar_f.
+//
+// Mind you that Hbar_+- = H_-+ (ignoring the weak phase, which flips sign).
+// It is custumary to select one set of helicity states (eg H_+-) and to adopt these for
+// the CP-conjugate decays as well (ie. depict Hbar_-+ with H_+-), which is the interpretation
+// we use for the input-parameters above.
+// However, the angular decay in EvtGen is just a formula in which helicity amplitudes are 'plugged' in,
+// making no difference between B0 or B0bar decays. In the model below we (thus) account for the +-
+// flipping between B0 and B0bar.
+//
+//
+// Modification history:
+// Ajit Kurup 9 March 2001 Module created (from EvtSVSNONCPEIGEN)
+// Max Baak 01/16/2004 Fix of Helicity amplitude ordering.
+// Decay also works for B0bar decays.
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtCPUtil.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenModels/EvtSVVNONCPEIGEN.hh"
+#include <string>
+#include "EvtGenModels/EvtSVVHelAmp.hh"
+#include "EvtGenBase/EvtConst.hh"
+
+EvtSVVNONCPEIGEN::~EvtSVVNONCPEIGEN() {}
+
+std::string EvtSVVNONCPEIGEN::getName(){
+
+ return "SVV_NONCPEIGEN";
+
+}
+
+
+EvtDecayBase* EvtSVVNONCPEIGEN::clone(){
+
+ return new EvtSVVNONCPEIGEN;
+
+}
+
+void EvtSVVNONCPEIGEN::init(){
+
+ // check that there are 27 arguments
+ checkNArg(27,15);
+ checkNDaug(2);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::VECTOR);
+
+ // The ordering of A_f is :
+ // A_f[0-2] = A_f
+ // A_f[3-5] = Abar_f
+ // A_f[6-8] = A_fbar
+ // A_f[9-11] = Abar_fbar
+ //
+ // Each of the 4 amplitudes include the 3 different helicity states in
+ // the order +, 0, -. See more about helicity amplitude ordering in ::decay
+
+ int i=0;
+ int j=(getNArg()-3)/2;
+
+ for(i=0; i<j; ++i){
+ _A_f[i] = getArg((2*i)+3) * EvtComplex( cos(getArg((2*i)+4)),sin(getArg((2*i)+4)) );
+ }
+
+ // If only 6 amplitudes are specified, calculate the last 6 from the first 6:
+ if(6 == j){
+ for(i = 0; i < 3; ++i){
+ _A_f[6+i] = _A_f[3+i];
+ _A_f[9+i] = _A_f[i];
+ }
+ }
+}
+
+void EvtSVVNONCPEIGEN::initProbMax() {
+ double probMax = 0;
+ for (int i = 0; i < 12; ++i){
+ double amp = abs(_A_f[i]);
+ probMax += amp * amp;
+ }
+
+ setProbMax(probMax);
+}
+
+void EvtSVVNONCPEIGEN::decay( EvtParticle *p){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ double t;
+ EvtId other_b;
+ EvtId daugs[2];
+
+
+ // MB: flip selects the final of the decay
+ int flip = ((p->getId() == B0) ? 0 : 1);
+ daugs[0]=getDaug(0);
+ daugs[1]=getDaug(1);
+ p->initializePhaseSpace(2,daugs);
+
+ EvtCPUtil::OtherB(p,t,other_b,0.5);
+
+ EvtComplex amp[3];
+
+ double dmt2 = getArg(0) * t / (2 * EvtConst::c);
+ double phiCKM = (2.0 * getArg(1) + getArg(2)); // 2b+g
+ EvtComplex ePlusIPhi(cos(phiCKM), sin(phiCKM));
+ EvtComplex eMinusIPhi(cos(-phiCKM), sin(-phiCKM));
+
+ // flip == 0 : D*-rho+
+ // flip == 1 : D*+rho-
+
+ if (!flip) {
+ if (other_b==B0B){
+ // At t=0 we have a B0
+ for (int i=0; i<3; ++i) {
+ amp[i] = _A_f[i]*cos(dmt2) + eMinusIPhi*EvtComplex(0.0,sin(dmt2))*_A_f[i+3];
+ }
+ }
+ if (other_b==B0){
+ // At t=0 we have a B0bar
+ for(int i=0; i<3; ++i) {
+ amp[i] = _A_f[i]*ePlusIPhi*EvtComplex(0.0,sin(dmt2)) + _A_f[i+3]*cos(dmt2);
+ }
+ }
+ } else{
+ if (other_b==B0B){
+ // At t=0 we have a B0
+
+ // M.Baak 01/16/2004
+ // Note: \bar{H}+- = H-+
+ // If one wants to use the correct helicities for B0 and B0bar decays but the same formula-notation (as done in EvtSVV_HelAmp),
+ // count the B0bar helicities backwards. (Equivalently, one could flip the chi angle.)
+
+ for(int i=0; i<3; ++i) {
+ amp[i] = _A_f[8-i]*cos(dmt2) + eMinusIPhi*EvtComplex(0.0,sin(dmt2))*_A_f[11-i];
+ }
+ }
+ if (other_b==B0){
+ // At t=0 we have a B0bar
+ for(int i=0; i<3; ++i) {
+ amp[i] = _A_f[8-i] * ePlusIPhi * EvtComplex(0.0,sin(dmt2)) + _A_f[11-i]*cos(dmt2);
+ }
+ }
+ }
+
+ EvtSVVHelAmp::SVVHel(p,_amp2,daugs[0],daugs[1],amp[0],amp[1],amp[2]);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2001 Royal Holloway, University of London
+//
+// Module: EvtGen/EvtSVVNONCPEIGEN.hh
+//
+// Description: See EvtSVVNONCPEIGEN.cc
+//
+// Modification history:
+//
+// Ajit Kurup 9 March 2001 Module created (from EvtSVSNONCPEIGEN.hh)
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSVVNONCPEIGEN_HH
+#define EVTSVVNONCPEIGEN_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtSVVNONCPEIGEN:public EvtDecayAmp {
+
+public:
+
+ EvtSVVNONCPEIGEN() {}
+ virtual ~EvtSVVNONCPEIGEN();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+
+ void decay(EvtParticle *p);
+
+private:
+
+ EvtComplex _A_f[12];
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSingleParticle.cc
+//
+// Description: Special model to generate single particles.
+//
+// Modification history:
+//
+// RYD Febuary 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtSingleParticle.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+using std::endl;
+
+EvtSingleParticle::~EvtSingleParticle() {}
+
+std::string EvtSingleParticle::getName(){
+
+ return "SINGLE";
+
+}
+
+EvtDecayBase* EvtSingleParticle::clone(){
+
+ return new EvtSingleParticle();
+
+}
+
+void EvtSingleParticle::init(){
+
+
+ //turn off checks for charge conservation
+ disableCheckQ();
+
+ if ((getNArg()==6)||(getNArg()==4)||(getNArg()==2)) {
+
+ if (getNArg()==6){
+ //copy the arguments into eaiser to remember names!
+
+ pmin=getArg(0);
+ pmax=getArg(1);
+
+ cthetamin=getArg(2);
+ cthetamax=getArg(3);
+
+ phimin=getArg(4);
+ phimax=getArg(5);
+
+ }
+
+ if (getNArg()==4){
+ //copy the arguments into eaiser to remember names!
+
+ pmin=getArg(0);
+ pmax=getArg(1);
+
+ cthetamin=getArg(2);
+ cthetamax=getArg(3);
+
+ phimin=0.0;
+ phimax=EvtConst::twoPi;
+
+ }
+
+ if (getNArg()==2){
+ //copy the arguments into eaiser to remember names!
+
+ pmin=getArg(0);
+ pmax=getArg(1);
+
+ cthetamin=-1.0;
+ cthetamax=1.0;
+
+ phimin=0.0;
+ phimax=EvtConst::twoPi;
+
+ }
+
+
+ }else{
+
+ report(ERROR,"EvtGen") << "EvtSingleParticle generator expected "
+ << " 6, 4, or 2 arguments but found:"<<getNArg()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+
+ report(INFO,"EvtGen") << "The single particle generator has been configured:"
+ <<endl;
+ report(INFO,"EvtGen") << pmax << " > p > " << pmin <<endl;
+ report(INFO,"EvtGen") << cthetamax << " > costheta > " << cthetamin <<endl;
+ report(INFO,"EvtGen") << phimax << " > phi > " << phimin <<endl;
+
+}
+
+void EvtSingleParticle::decay( EvtParticle *p ){
+
+ EvtParticle *d;
+ EvtVector4R p4;
+
+ double mass=EvtPDL::getMass(getDaug(0));
+
+ p->makeDaughters(getNDaug(),getDaugs());
+ d=p->getDaug(0);
+
+ //generate flat distribution in p
+ //we are now in the parents restframe! This means the
+ //restframe of the e+e- collison.
+ double pcm=EvtRandom::Flat(pmin,pmax);
+ //generate flat distribution in phi.
+ double phi=EvtRandom::Flat(phimin,phimax);
+
+ double cthetalab;
+
+ do{
+ //generate flat distribution in costheta
+ double ctheta=EvtRandom::Flat(cthetamin,cthetamax);
+ double stheta=sqrt(1.0-ctheta*ctheta);
+ p4.set(sqrt(mass*mass+pcm*pcm),pcm*cos(phi)*stheta,
+ pcm*sin(phi)*stheta,pcm*ctheta);
+
+ d->init( getDaug(0),p4);
+
+ //get 4 vector in the lab frame!
+ EvtVector4R p4lab=d->getP4Lab();
+ cthetalab=p4lab.get(3)/p4lab.d3mag();
+ }while (cthetalab>cthetamax||cthetalab<cthetamin);
+
+ return ;
+}
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSingleParticle.hh
+//
+// Description:
+//This is a special decay model to generate single particles.
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+
+#ifndef EVTSINGLEPARTICLE_HH
+#define EVTSINGLEPARTICLE_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+class EvtParticle;
+
+class EvtSingleParticle:public EvtDecayIncoherent {
+
+public:
+
+ EvtSingleParticle() {}
+ virtual ~EvtSingleParticle();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+
+ void init();
+
+private:
+
+ double pmin,pmax;
+ double cthetamin,cthetamax;
+ double phimin,phimax;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtSll.cc
+//
+// Description: The decay of a scalar meson to two leptons,
+// or generally, two spin 1/2 particles.
+// E.g., B0 -> tau+ tau-
+//
+// Modification history:
+//
+// SHY April 23, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtSll.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtSll::~EvtSll() {}
+
+std::string EvtSll::getName(){
+
+ return "SLL";
+
+}
+
+
+EvtDecayBase* EvtSll::clone(){
+
+ return new EvtSll;
+
+}
+
+void EvtSll::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ checkSpinDaughter(0,EvtSpinType::DIRAC);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+
+}
+
+void EvtSll::decay(EvtParticle *p){
+
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *l1, *l2;
+ l1 = p->getDaug(0);
+ l2 = p->getDaug(1);
+ EvtVector4R p4_p;
+ p4_p.set(p->mass(),0.0,0.0,0.0);
+
+ EvtVector4C l11, l12, l21, l22;
+
+ l11=EvtLeptonVACurrent(l1->spParent(0),l2->spParent(0));
+ l12=EvtLeptonVACurrent(l1->spParent(0),l2->spParent(1));
+ l21=EvtLeptonVACurrent(l1->spParent(1),l2->spParent(0));
+ l22=EvtLeptonVACurrent(l1->spParent(1),l2->spParent(1));
+
+ vertex(0,0,p4_p*l11);
+ vertex(0,1,p4_p*l12);
+ vertex(1,0,p4_p*l21);
+ vertex(1,1,p4_p*l22);
+
+ return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtSll.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTSLL_HH
+#define EVTSLL_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+//Class to handle decays of the form SCALAR -> DIRAC DIRAC.
+
+class EvtSll:public EvtDecayAmp {
+
+public:
+
+ EvtSll() {}
+ virtual ~EvtSll();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTSS.cc
+//
+// Description: Routine to decay tensor-> scalar scalar
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtTSS.hh"
+#include <string>
+
+EvtTSS::~EvtTSS() {}
+
+std::string EvtTSS::getName(){
+
+ return "TSS";
+
+}
+
+
+EvtDecayBase* EvtTSS::clone(){
+
+ return new EvtTSS;
+
+}
+
+void EvtTSS::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::TENSOR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+
+}
+
+void EvtTSS::initProbMax() {
+
+ setProbMax(1.0);
+
+}
+
+void EvtTSS::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtVector4R moms1 = p->getDaug(0)->getP4();
+
+ double norm = 1.0/(moms1.d3mag()*moms1.d3mag());
+
+ vertex(0,norm*(p->epsTensor(0).cont1(EvtVector4C(moms1))*(moms1)));
+ vertex(1,norm*(p->epsTensor(1).cont1(EvtVector4C(moms1))*(moms1)));
+ vertex(2,norm*(p->epsTensor(2).cont1(EvtVector4C(moms1))*(moms1)));
+ vertex(3,norm*(p->epsTensor(3).cont1(EvtVector4C(moms1))*(moms1)));
+ vertex(4,norm*(p->epsTensor(4).cont1(EvtVector4C(moms1))*(moms1)));
+
+ return ;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTSS.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTSS_HH
+#define EVTTSS_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+//Class to handle decays of the form TENSOR -> SCALAR SCALAR.
+//Calls EvtTensorToScalarScalar
+
+class EvtParticle;
+
+class EvtTSS:public EvtDecayAmp {
+
+public:
+
+ EvtTSS() {}
+ virtual ~EvtTSS();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void init();
+ void decay(EvtParticle *p);
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTVSPwave.cc
+//
+// Description: Routine to decay tensor-> vector scalar
+// by specifying the partial waves
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtTVSPwave.hh"
+#include <string>
+
+EvtTVSPwave::~EvtTVSPwave() {}
+
+std::string EvtTVSPwave::getName(){
+
+ return "TVS_PWAVE";
+
+}
+
+
+EvtDecayBase* EvtTVSPwave::clone(){
+
+ return new EvtTVSPwave;
+
+}
+
+void EvtTVSPwave::init(){
+
+ // check that there are 6 arguments
+ checkNArg(6);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::TENSOR);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+}
+
+void EvtTVSPwave::initProbMax(){
+
+ setProbMax(0.5);
+
+
+}
+
+void EvtTVSPwave::decay( EvtParticle *p ){
+
+ EvtComplex ap(getArg(0)*cos(getArg(1)),getArg(0)*sin(getArg(1)));
+ EvtComplex ad(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+ EvtComplex af(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
+
+ if (ap!=EvtComplex(0.0,0.0)||af!=EvtComplex(0.0,0.0)) {
+ report(ERROR,"EvtGen") << "dfslkh8945wqh:In EvtTensorToVectorScalar.c\n";
+ report(ERROR,"EvtGen") << "P or F wave not yet implemented!! (ryd) \n";
+ }
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *v;
+ v = p->getDaug(0);
+ EvtVector4R momv = v->getP4();
+ double massv = v->mass();
+
+ EvtComplex temp;
+ temp = ad;
+ double m_parent = p->mass();
+
+ EvtVector4R p_parent;
+
+ p_parent.set(m_parent,0.0,0.0,0.0);
+
+ EvtVector4C pep0,pep1,pep2,pep3,pep4;
+ EvtTensor4C pdual;
+
+ EvtVector4C epsdual0,epsdual1,epsdual2;
+
+ double norm=massv/(m_parent*momv.get(0)*momv.d3mag()*momv.d3mag());
+ pdual=dual(directProd(norm*p_parent,momv));
+
+ epsdual0=pdual.cont1(v->epsParent(0).conj());
+ epsdual1=pdual.cont1(v->epsParent(1).conj());
+ epsdual2=pdual.cont1(v->epsParent(2).conj());
+
+ pep0=p->epsTensor(0).cont1(momv);
+ pep1=p->epsTensor(1).cont1(momv);
+ pep2=p->epsTensor(2).cont1(momv);
+ pep3=p->epsTensor(3).cont1(momv);
+ pep4=p->epsTensor(4).cont1(momv);
+
+ vertex(0,0,pep0*epsdual0);
+ vertex(1,0,pep1*epsdual0);
+ vertex(2,0,pep2*epsdual0);
+ vertex(3,0,pep3*epsdual0);
+ vertex(4,0,pep4*epsdual0);
+
+ vertex(0,1,pep0*epsdual1);
+ vertex(1,1,pep1*epsdual1);
+ vertex(2,1,pep2*epsdual1);
+ vertex(3,1,pep3*epsdual1);
+ vertex(4,1,pep4*epsdual1);
+
+ vertex(0,2,pep0*epsdual2);
+ vertex(1,2,pep1*epsdual2);
+ vertex(2,2,pep2*epsdual2);
+ vertex(3,2,pep3*epsdual2);
+ vertex(4,2,pep4*epsdual2);
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTVSPwave.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTVSPWAVE_HH
+#define EVTTVSPWAVE_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+//Class to handles decays of the form TENSOR -> VECTOR SCALAR,
+//which proceed via S,P, or D partial waves. There are
+//six arguements, which are the magnetude and phase of
+//each partial wave (S, P then D). Calls EvtTensorToVectorScalar
+
+class EvtTVSPwave:public EvtDecayAmp {
+
+public:
+
+ EvtTVSPwave() {}
+ virtual ~EvtTVSPwave();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTauHadnu.cc
+//
+// Description: The leptonic decay of the tau meson.
+// E.g., tau- -> e- nueb nut
+//
+// Modification history:
+//
+// RYD January 17, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtTauHadnu.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+
+using namespace std;
+
+EvtTauHadnu::~EvtTauHadnu() {}
+
+std::string EvtTauHadnu::getName(){
+
+ return "TAUHADNU";
+
+}
+
+
+EvtDecayBase* EvtTauHadnu::clone(){
+
+ return new EvtTauHadnu;
+
+}
+
+void EvtTauHadnu::init() {
+
+ // check that there are 0 arguments
+
+ checkSpinParent(EvtSpinType::DIRAC);
+
+ //the last daughter should be a neutrino
+ checkSpinDaughter(getNDaug()-1,EvtSpinType::NEUTRINO);
+
+ int i;
+ for ( i=0; i<(getNDaug()-1);i++) {
+ checkSpinDaughter(i,EvtSpinType::SCALAR);
+ }
+
+ bool validndaug=false;
+
+ if ( getNDaug()==4 ) {
+ //pipinu
+ validndaug=true;
+ checkNArg(7);
+ _beta = getArg(0);
+ _mRho = getArg(1);
+ _gammaRho = getArg(2);
+ _mRhopr = getArg(3);
+ _gammaRhopr = getArg(4);
+ _mA1 = getArg(5);
+ _gammaA1 = getArg(6);
+ }
+ if ( getNDaug()==3 ) {
+ //pipinu
+ validndaug=true;
+ checkNArg(5);
+ _beta = getArg(0);
+ _mRho = getArg(1);
+ _gammaRho = getArg(2);
+ _mRhopr = getArg(3);
+ _gammaRhopr = getArg(4);
+ }
+ if ( getNDaug()==2 ) {
+ //pipinu
+ validndaug=true;
+ checkNArg(0);
+ }
+
+ if ( !validndaug ) {
+ report(ERROR,"EvtGen") << "Have not yet implemented this final state in TAUHADNUKS model" << endl;
+ report(ERROR,"EvtGen") << "Ndaug="<<getNDaug() << endl;
+ int id;
+ for ( id=0; id<(getNDaug()-1); id++ )
+ report(ERROR,"EvtGen") << "Daug " << id << " "<<EvtPDL::name(getDaug(id)).c_str() << endl;
+
+ }
+
+}
+
+void EvtTauHadnu::initProbMax(){
+
+ if ( getNDaug()==2 ) setProbMax(90.0);
+ if ( getNDaug()==3 ) setProbMax(2500.0);
+ if ( getNDaug()==4 ) setProbMax(30000.0);
+
+}
+
+void EvtTauHadnu::decay(EvtParticle *p){
+
+ static EvtId TAUM=EvtPDL::getId("tau-");
+
+ EvtIdSet thePis("pi+","pi-","pi0");
+ EvtIdSet theKs("K+","K-");
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *nut;
+ nut = p->getDaug(getNDaug()-1);
+ EvtVector4R momscalar = p->getDaug(0)->getP4();
+
+ //get the leptonic current
+ EvtVector4C tau1, tau2;
+
+ if (p->getId()==TAUM) {
+ tau1=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(0));
+ tau2=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(1));
+ }
+ else{
+ tau1=EvtLeptonVACurrent(p->sp(0),nut->spParentNeutrino());
+ tau2=EvtLeptonVACurrent(p->sp(1),nut->spParentNeutrino());
+ }
+
+ EvtVector4C hadCurr;
+ bool foundHadCurr=false;
+ if ( getNDaug() == 2 ) {
+ hadCurr = p->getDaug(0)->getP4();
+ foundHadCurr=true;
+ }
+ if ( getNDaug() == 3 ) {
+
+ //pi pi0 nu with rho and rhopr resonance
+ if ( thePis.contains(getDaug(0)) &&
+ thePis.contains(getDaug(1)) ) {
+
+ EvtVector4R q1 = p->getDaug(0)->getP4();
+ EvtVector4R q2 = p->getDaug(1)->getP4();
+ double m1 = q1.mass();
+ double m2 = q2.mass();
+
+ hadCurr = Fpi( (q1+q2).mass2(), m1, m2 ) * (q1-q2);
+
+ foundHadCurr = true;
+ }
+
+ }
+ if ( getNDaug() == 4 ) {
+ if ( thePis.contains(getDaug(0)) &&
+ thePis.contains(getDaug(1)) &&
+ thePis.contains(getDaug(2)) ) {
+ //figure out which is the different charged pi
+ //want it to be q3
+
+ int diffPi(0),samePi1(0),samePi2(0);
+ if ( getDaug(0) == getDaug(1) ) {diffPi=2; samePi1=0; samePi2=1;}
+ if ( getDaug(0) == getDaug(2) ) {diffPi=1; samePi1=0; samePi2=2;}
+ if ( getDaug(1) == getDaug(2) ) {diffPi=0; samePi1=1; samePi2=2;}
+
+ EvtVector4R q1=p->getDaug(samePi1)->getP4();
+ EvtVector4R q2=p->getDaug(samePi2)->getP4();
+ EvtVector4R q3=p->getDaug(diffPi)->getP4();
+
+ double m1 = q1.mass();
+ double m2 = q2.mass();
+ double m3 = q3.mass();
+
+ EvtVector4R Q = q1 + q2 + q3;
+ double Q2 = Q.mass2();
+ double _mA12 = _mA1*_mA1;
+
+ double _gammaA1X = _gammaA1 * gFunc( Q2, samePi1 )/gFunc( _mA12, samePi1 );
+
+ EvtComplex denBW_A1( _mA12 - Q2, -1.*_mA1*_gammaA1X );
+ EvtComplex BW_A1 = _mA12 / denBW_A1;
+
+ hadCurr = BW_A1 * ( ((q1-q3)-(Q*(Q*(q1-q3))/Q2)) * Fpi( (q1+q3).mass2(), m1, m3) +
+ ((q2-q3)-(Q*(Q*(q2-q3))/Q2)) * Fpi( (q2+q3).mass2(), m2, m3) );
+
+ foundHadCurr = true;
+
+ }
+
+
+ }
+
+
+
+ if ( !foundHadCurr ) {
+ report(ERROR,"EvtGen") << "Have not yet implemented this final state in TAUHADNUKS model" << endl;
+ report(ERROR,"EvtGen") << "Ndaug="<<getNDaug() << endl;
+ int id;
+ for ( id=0; id<(getNDaug()-1); id++ )
+ report(ERROR,"EvtGen") << "Daug " << id << " "<<EvtPDL::name(getDaug(id)).c_str() << endl;
+
+ }
+
+
+ vertex(0,tau1*hadCurr);
+ vertex(1,tau2*hadCurr);
+
+
+
+ return;
+
+}
+
+double EvtTauHadnu::gFunc(double Q2, int dupD) {
+
+ double mpi= EvtPDL::getMeanMass(getDaug(dupD));
+ double mpi2 = pow( mpi,2.);
+ if ( Q2 < pow(_mRho + mpi, 2.) ) {
+ double arg = Q2-9.*mpi2;
+ return 4.1 * pow(arg,3.) * (1. - 3.3*arg + 5.8*pow(arg,2.));
+ }
+ else
+ return Q2 * (1.623 + 10.38/Q2 - 9.32/pow(Q2,2.) + 0.65/pow(Q2,3.));
+}
+
+EvtComplex EvtTauHadnu::Fpi( double s, double xm1, double xm2 ) {
+
+ EvtComplex BW_rho = BW( s, _mRho, _gammaRho, xm1, xm2 );
+ EvtComplex BW_rhopr = BW( s, _mRhopr, _gammaRhopr, xm1, xm2 );
+
+
+ return (BW_rho + _beta*BW_rhopr)/(1.+_beta);
+}
+
+EvtComplex EvtTauHadnu::BW( double s, double m, double gamma, double xm1, double xm2 ) {
+
+ double m2 = pow( m, 2.);
+
+ if ( s > pow( xm1+xm2, 2.) ) {
+ double qs = sqrt( fabs( (s-pow(xm1+xm2,2.)) * (s-pow(xm1-xm2,2.)) ) ) / sqrt(s);
+ double qm = sqrt( fabs( (m2-pow(xm1+xm2,2.)) * (m2-pow(xm1-xm2,2.)) ) ) / m;
+
+ gamma *= m2/s * pow( qs/qm, 3.);
+ }
+ else
+ gamma = 0.;
+
+ EvtComplex denBW( m2 - s, -1.* sqrt(s) * gamma );
+
+
+ return m2 / denBW;
+}
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTauHadnu.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Lange Oct 26, 2002 Created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTAUHADNUKS_HH
+#define EVTTAUHADNUKS_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtTauHadnu : public EvtDecayAmp {
+
+public:
+
+ EvtTauHadnu() {}
+ virtual ~EvtTauHadnu();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+private:
+ double _beta;
+ double _mRho;
+ double _gammaRho;
+ double _mRhopr;
+ double _gammaRhopr;
+ double _mA1;
+ double _gammaA1;
+
+ double gFunc(double m2,int dupD);
+ EvtComplex Fpi( double s, double xm1, double xm2 );
+ EvtComplex BW( double s, double m, double gamma, double xm1, double xm2 );
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTauScalarnu.cc
+//
+// Description: The leptonic decay of the tau meson.
+// E.g., tau- -> e- nueb nut
+//
+// Modification history:
+//
+// RYD January 17, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtTauScalarnu.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtTauScalarnu::~EvtTauScalarnu() {}
+
+std::string EvtTauScalarnu::getName(){
+
+ return "TAUSCALARNU";
+
+}
+
+
+EvtDecayBase* EvtTauScalarnu::clone(){
+
+ return new EvtTauScalarnu;
+
+}
+
+void EvtTauScalarnu::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::DIRAC);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::NEUTRINO);
+
+}
+
+void EvtTauScalarnu::initProbMax(){
+
+ setProbMax(90.0);
+
+}
+
+void EvtTauScalarnu::decay(EvtParticle *p){
+
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *nut;
+ nut = p->getDaug(1);
+ EvtVector4R momscalar = p->getDaug(0)->getP4();
+
+ EvtVector4C tau1, tau2;
+
+ if (p->getId()==TAUM) {
+ tau1=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(0));
+ tau2=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(1));
+ }
+ else{
+ tau1=EvtLeptonVACurrent(p->sp(0),nut->spParentNeutrino());
+ tau2=EvtLeptonVACurrent(p->sp(1),nut->spParentNeutrino());
+ }
+
+ vertex(0,tau1*momscalar);
+ vertex(1,tau2*momscalar);
+
+ return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTauScalarnu.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTAUSCALARNU_HH
+#define EVTTAUSCALARNU_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtTauScalarnu:public EvtDecayAmp {
+
+public:
+
+ EvtTauScalarnu() {}
+ virtual ~EvtTauScalarnu();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTauVectornu.cc
+//
+// Description: The vector decay of the tau meson.
+// E.g., tau- -> rho- + nut
+//
+// Modification history:
+//
+// RYD/SHY April 23, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtTauVectornu.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtTauVectornu::~EvtTauVectornu() {}
+
+std::string EvtTauVectornu::getName(){
+
+ return "TAUVECTORNU";
+
+}
+
+
+EvtDecayBase* EvtTauVectornu::clone(){
+
+ return new EvtTauVectornu;
+
+}
+
+void EvtTauVectornu::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::DIRAC);
+
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::NEUTRINO);
+}
+
+void EvtTauVectornu::initProbMax(){
+
+ setProbMax(55.0);
+
+}
+
+void EvtTauVectornu::decay(EvtParticle *p){
+
+ static EvtId TAUM=EvtPDL::getId("tau-");
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *v, *nut;
+ v=p->getDaug(0);
+ nut=p->getDaug(1);
+ double mvec = v->mass();
+ EvtVector4C tau1, tau2;
+
+ if (p->getId()==TAUM) {
+ tau1=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(0));
+ tau2=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(1));
+ }
+ else{
+ tau1=EvtLeptonVACurrent(p->sp(0),nut->spParentNeutrino());
+ tau2=EvtLeptonVACurrent(p->sp(1),nut->spParentNeutrino());
+ }
+
+ double norm=mvec*sqrt(mvec);
+
+ vertex(0,0,norm*tau1*(v->epsParent(0).conj()));
+ vertex(0,1,norm*tau1*(v->epsParent(1).conj()));
+ vertex(0,2,norm*tau1*(v->epsParent(2).conj()));
+ vertex(1,0,norm*tau2*(v->epsParent(0).conj()));
+ vertex(1,1,norm*tau2*(v->epsParent(1).conj()));
+ vertex(1,2,norm*tau2*(v->epsParent(2).conj()));
+
+ return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTauVectornu.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTAUVECTORNU_HH
+#define EVTTAUVECTORNU_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtTauVectornu:public EvtDecayAmp {
+
+public:
+
+ EvtTauVectornu() {}
+ virtual ~EvtTauVectornu();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtTaulnunu.cc
+//
+// Description: The leptonic decay of the tau meson.
+// E.g., tau- -> e- nueb nut
+//
+// Modification history:
+//
+// RYD January 17, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtTaulnunu.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtTaulnunu::~EvtTaulnunu() {}
+
+std::string EvtTaulnunu::getName(){
+
+ return "TAULNUNU";
+
+}
+
+
+EvtDecayBase* EvtTaulnunu::clone(){
+
+ return new EvtTaulnunu;
+
+}
+
+void EvtTaulnunu::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::DIRAC);
+
+ checkSpinDaughter(0,EvtSpinType::DIRAC);
+ checkSpinDaughter(1,EvtSpinType::NEUTRINO);
+ checkSpinDaughter(2,EvtSpinType::NEUTRINO);
+
+}
+
+void EvtTaulnunu::initProbMax(){
+
+ setProbMax(650.0);
+
+}
+
+void EvtTaulnunu::decay(EvtParticle *p){
+ static EvtId TAUM=EvtPDL::getId("tau-");
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *l, *nul, *nut;
+
+ l = p->getDaug(0);
+ nul = p->getDaug(1);
+ nut = p->getDaug(2);
+
+ EvtVector4C l1, l2, tau1, tau2;
+
+ if (p->getId()==TAUM) {
+
+ tau1=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(0));
+ tau2=EvtLeptonVACurrent(nut->spParentNeutrino(),p->sp(1));
+ l1=EvtLeptonVACurrent(l->spParent(0),nul->spParentNeutrino());
+ l2=EvtLeptonVACurrent(l->spParent(1),nul->spParentNeutrino());
+
+ }
+ else{
+ tau1=EvtLeptonVACurrent(p->sp(0),nut->spParentNeutrino());
+ tau2=EvtLeptonVACurrent(p->sp(1),nut->spParentNeutrino());
+ l1=EvtLeptonVACurrent(nul->spParentNeutrino(),l->spParent(0));
+ l2=EvtLeptonVACurrent(nul->spParentNeutrino(),l->spParent(1));
+ }
+
+ vertex(0,0,tau1*l1);
+ vertex(0,1,tau1*l2);
+ vertex(1,0,tau2*l1);
+ vertex(1,1,tau2*l2);
+
+ return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtTaulnunu.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTTAULNUNU_HH
+#define EVTTAULNUNU_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtTaulnunu:public EvtDecayAmp {
+
+public:
+
+ EvtTaulnunu() {}
+ virtual ~EvtTaulnunu();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2004 Cornell
+//
+// Module: EvtVPHOtoV.cc
+//
+// Description: Routine to decay vpho -> vector
+//
+// Modification history:
+//
+// Ryd March 9, 2004 Module created
+//
+//------------------------------------------------------------------------
+//
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVPHOtoV.hh"
+#include <string>
+
+EvtVPHOtoV::~EvtVPHOtoV() {}
+
+std::string EvtVPHOtoV::getName(){
+
+ return "VPHOTOV";
+
+}
+
+
+EvtDecayBase* EvtVPHOtoV::clone(){
+
+ return new EvtVPHOtoV;
+
+}
+
+void EvtVPHOtoV::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+
+ // check that there are 1 daughters
+ checkNDaug(1);
+
+ // check the parent and daughter spins
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+}
+
+void EvtVPHOtoV::initProbMax() {
+
+ setProbMax(1.0);
+
+}
+
+void EvtVPHOtoV::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle* d=p->getDaug(0);
+
+ d->setP4(p->getP4Restframe());
+
+ vertex(0,0,p->eps(0)*p->epsParent(0).conj());
+ vertex(1,0,p->eps(1)*p->epsParent(0).conj());
+ vertex(2,0,p->eps(2)*p->epsParent(0).conj());
+
+ vertex(0,1,p->eps(0)*p->epsParent(1).conj());
+ vertex(1,1,p->eps(1)*p->epsParent(1).conj());
+ vertex(2,1,p->eps(2)*p->epsParent(1).conj());
+
+ vertex(0,2,p->eps(0)*p->epsParent(2).conj());
+ vertex(1,2,p->eps(1)*p->epsParent(2).conj());
+ vertex(2,2,p->eps(2)*p->epsParent(2).conj());
+
+ return;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2004 Cornell
+//
+// Module: EvtGen/EvtVPHOtoV.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Ryd March 9, 2004 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVPHOTOV_HH
+#define EVTVPHOTOV_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVPHOtoV:public EvtDecayAmp {
+
+public:
+
+ EvtVPHOtoV() {}
+ virtual ~EvtVPHOtoV();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2004 Cornell
+//
+// Module: EvtVPHOtoVISR.cc
+//
+// Description: Routine to decay vpho -> vector ISR photon
+//
+// Modification history:
+//
+// Ryd March 20, 2004 Module created
+//
+//------------------------------------------------------------------------
+//
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtVPHOtoVISR.hh"
+#include <string>
+
+EvtVPHOtoVISR::~EvtVPHOtoVISR() {}
+
+std::string EvtVPHOtoVISR::getName(){
+
+ return "VPHOTOVISR";
+
+}
+
+
+EvtDecayBase* EvtVPHOtoVISR::clone(){
+
+ return new EvtVPHOtoVISR;
+
+}
+
+void EvtVPHOtoVISR::init(){
+
+ // check that there are 0 or 2 arguments
+ checkNArg(0,2);
+
+ // check that there are 2 daughters
+ checkNDaug(2);
+
+ // check the parent and daughter spins
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::PHOTON);
+}
+
+void EvtVPHOtoVISR::initProbMax() {
+
+ //setProbMax(100000.0);
+
+}
+
+void EvtVPHOtoVISR::decay( EvtParticle *p){
+
+ //take photon along z-axis, either forward or backward.
+ //Implement this as generating the photon momentum along
+ //the z-axis uniformly
+
+ double w=p->mass();
+ double s=w*w;
+
+ double L=2.0*log(w/0.000511);
+ double alpha=1/137.0;
+ double beta=(L-1)*2.0*alpha/EvtConst::pi;
+
+ //This uses the fact that there is a daughter of the
+ //psi(3770)
+ assert(p->getDaug(0)->getDaug(0)!=0);
+ double md=EvtPDL::getMeanMass(p->getDaug(0)->getDaug(0)->getId());
+
+ static double mD0=EvtPDL::getMeanMass(EvtPDL::getId("D0"));
+ static double mDp=EvtPDL::getMeanMass(EvtPDL::getId("D+"));
+
+ double pgmax=(s-4.0*md*md)/(2.0*w);
+
+ assert(pgmax>0.0);
+
+ double pgz=0.99*pgmax*exp(log(EvtRandom::Flat(1.0))/beta);
+
+ if (EvtRandom::Flat(1.0)<0.5) pgz=-pgz;
+
+ double k=fabs(pgz);
+
+ EvtVector4R p4g(k,0.0,0.0,pgz);
+
+ EvtVector4R p4res=p->getP4Restframe()-p4g;
+
+ double mres=p4res.mass();
+
+ double ed=mres/2.0;
+
+ assert(ed>md);
+
+ double pd=sqrt(ed*ed-md*md);
+
+
+ //std::cout << "k, mres, w, md, ed, pd:"<<k<<" "<<mres<<" "<<w<<" "<<md<<" "<<ed<<" "<<pd<<std::endl;
+
+ p->getDaug(0)->init(getDaug(0),p4res);
+ p->getDaug(1)->init(getDaug(1),p4g);
+
+
+ double sigma=beta*pow(2/w,beta)*(1+alpha*(1.5*L-2.0+EvtConst::pi*EvtConst::pi/3.0)/EvtConst::pi);
+
+ double m=EvtPDL::getMeanMass(p->getDaug(0)->getId());
+ double Gamma=EvtPDL::getWidth(p->getDaug(0)->getId());
+
+ //mres is the energy of the psi(3770)
+
+ double p0=0.0;
+ if (ed>mD0) p0=sqrt(ed*ed-mD0*mD0);
+ double pp=0.0;
+ if (ed>mDp) pp=sqrt(ed*ed-mDp*mDp);
+
+ double p0norm=sqrt(0.25*m*m-mD0*mD0);
+ double ppnorm=sqrt(0.25*m*m-mDp*mDp);
+
+ double r0=12.7;
+ double rp=12.7;
+
+ if (getNArg()==2){
+ r0=getArg(0);
+ rp=getArg(1);
+ }
+
+ double GammaTot=Gamma*(pp*pp*pp/(1+pp*pp*rp*rp)+p0*p0*p0/(1+p0*p0*r0*r0))/
+ (ppnorm*ppnorm*ppnorm/(1+ppnorm*ppnorm*rp*rp)+
+ p0norm*p0norm*p0norm/(1+p0norm*p0norm*r0*r0));
+
+
+ sigma*=pd*pd*pd/((mres-m)*(mres-m)+0.25*GammaTot*GammaTot);
+
+ assert(sigma>0.0);
+
+ static double sigmax=sigma;
+
+ if (sigma>sigmax){
+ sigmax=sigma;
+ }
+
+
+
+ static int count=0;
+
+ count++;
+
+ //if (count%10000==0){
+ // std::cout << "sigma :"<<sigma<<std::endl;
+ // std::cout << "sigmax:"<<sigmax<<std::endl;
+ //}
+
+ double norm=sqrt(sigma);
+
+ vertex(0,0,0,norm*p->eps(0)*p->epsParent(0).conj());
+ vertex(1,0,0,norm*p->eps(1)*p->epsParent(0).conj());
+ vertex(2,0,0,norm*p->eps(2)*p->epsParent(0).conj());
+
+ vertex(0,1,0,norm*p->eps(0)*p->epsParent(1).conj());
+ vertex(1,1,0,norm*p->eps(1)*p->epsParent(1).conj());
+ vertex(2,1,0,norm*p->eps(2)*p->epsParent(1).conj());
+
+ vertex(0,2,0,norm*p->eps(0)*p->epsParent(2).conj());
+ vertex(1,2,0,norm*p->eps(1)*p->epsParent(2).conj());
+ vertex(2,2,0,norm*p->eps(2)*p->epsParent(2).conj());
+
+ vertex(0,0,1,norm*p->eps(0)*p->epsParent(0).conj());
+ vertex(1,0,1,norm*p->eps(1)*p->epsParent(0).conj());
+ vertex(2,0,1,norm*p->eps(2)*p->epsParent(0).conj());
+
+ vertex(0,1,1,norm*p->eps(0)*p->epsParent(1).conj());
+ vertex(1,1,1,norm*p->eps(1)*p->epsParent(1).conj());
+ vertex(2,1,1,norm*p->eps(2)*p->epsParent(1).conj());
+
+ vertex(0,2,1,norm*p->eps(0)*p->epsParent(2).conj());
+ vertex(1,2,1,norm*p->eps(1)*p->epsParent(2).conj());
+ vertex(2,2,1,norm*p->eps(2)*p->epsParent(2).conj());
+
+ return;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2004 Cornell
+//
+// Module: EvtGen/EvtVPHOtoVISR.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Ryd March 20, 2004 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVPHOTOVISR_HH
+#define EVTVPHOTOVISR_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVPHOtoVISR:public EvtDecayAmp {
+
+public:
+
+ EvtVPHOtoVISR() {}
+ virtual ~EvtVPHOtoVISR();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2004 Cornell
+//
+// Module: EvtVPHOtoVISR.cc
+//
+// Description: Routine to decay vpho -> (DDx) + ISR photon from 3.9 to 4.3 GeV, using CLEO-c data (Brian Lang)
+//
+// Modification history:
+//
+// Ryd March 20, 2004 Module created
+//
+//------------------------------------------------------------------------
+//
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtVPHOtoVISRHi.hh"
+#include <string>
+
+using std::endl;
+
+EvtVPHOtoVISRHi::~EvtVPHOtoVISRHi() {}
+
+std::string EvtVPHOtoVISRHi::getName(){
+
+ return "VPHOTOVISRHI";
+
+}
+
+
+EvtDecayBase* EvtVPHOtoVISRHi::clone(){
+
+ return new EvtVPHOtoVISRHi;
+
+}
+
+void EvtVPHOtoVISRHi::init(){
+
+ // check that there are 0 or 1 arguments
+ checkNArg(0,1);
+
+ // check that there are 2 daughters
+ checkNDaug(2);
+
+ // check the parent and daughter spins
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::PHOTON);
+}
+
+void EvtVPHOtoVISRHi::initProbMax() {
+
+ setProbMax(20.0);
+
+}
+
+void EvtVPHOtoVISRHi::decay( EvtParticle *p){
+ //take photon along z-axis, either forward or backward.
+ //Implement this as generating the photon momentum along
+ //the z-axis uniformly
+ double power=1;
+ if (getNArg()==1) power=getArg(0);
+ // define particle names
+ static EvtId D0=EvtPDL::getId("D0");
+ static EvtId D0B=EvtPDL::getId("anti-D0");
+ static EvtId DP=EvtPDL::getId("D+");
+ static EvtId DM=EvtPDL::getId("D-");
+ static EvtId DSM=EvtPDL::getId("D_s-");
+ static EvtId DSP=EvtPDL::getId("D_s+");
+ static EvtId DSMS=EvtPDL::getId("D_s*-");
+ static EvtId DSPS=EvtPDL::getId("D_s*+");
+ static EvtId D0S=EvtPDL::getId("D*0");
+ static EvtId D0BS=EvtPDL::getId("anti-D*0");
+ static EvtId DPS=EvtPDL::getId("D*+");
+ static EvtId DMS=EvtPDL::getId("D*-");
+ // setup some parameters
+ double w=p->mass();
+ double s=w*w;
+ double L=2.0*log(w/0.000511);
+ double alpha=1/137.0;
+ double beta=(L-1)*2.0*alpha/EvtConst::pi;
+ // make sure only 2 or 3 body are present
+ assert (p->getDaug(0)->getNDaug() == 2 || p->getDaug(0)->getNDaug() == 3);
+
+ // determine minimum rest mass of parent
+ double md1 = EvtPDL::getMeanMass(p->getDaug(0)->getDaug(0)->getId());
+ double md2 = EvtPDL::getMeanMass(p->getDaug(0)->getDaug(1)->getId());
+ double minResMass = md1+md2;
+ if (p->getDaug(0)->getNDaug() == 3) {
+ double md3 = EvtPDL::getMeanMass(p->getDaug(0)->getDaug(2)->getId());
+ minResMass = minResMass + md3;
+ }
+
+ // calculate the maximum energy of the ISR photon
+ double pgmax=(s-minResMass*minResMass)/(2.0*w);
+ double pgz=0.99*pgmax*exp(log(EvtRandom::Flat(1.0))/(beta*power));
+ if (EvtRandom::Flat(1.0)<0.5) pgz=-pgz;
+
+ double k=fabs(pgz);
+ // print of ISR energy
+ // std::cout << "Energy ISR :"<< k <<std::endl;
+ EvtVector4R p4g(k,0.0,0.0,pgz);
+
+ EvtVector4R p4res=p->getP4Restframe()-p4g;
+
+ double mres=p4res.mass();
+
+ // set masses
+ p->getDaug(0)->init(getDaug(0),p4res);
+ p->getDaug(1)->init(getDaug(1),p4g);
+
+
+ // determine XS - langbw
+ // very crude way of determining XS just a simple straight line Approx.
+ // this was determined by eye.
+ // lots of cout statements to make plots to check that things are working as expected
+ double sigma=9.0;
+ if (mres<=3.9) sigma = 0.00001;
+
+ bool sigmacomputed(false);
+
+ // DETERMINE XS FOR D*D*
+ if (p->getDaug(0)->getNDaug() == 2
+ &&((p->getDaug(0)->getDaug(0)->getId()==D0S
+ && p->getDaug(0)->getDaug(1)->getId()==D0BS)
+ ||(p->getDaug(0)->getDaug(0)->getId()==DPS
+ && p->getDaug(0)->getDaug(1)->getId()==DMS))){
+ if(mres>4.18) {
+ sigma*=5./9.*(1.-1.*sqrt((4.18-mres)*(4.18-mres))/(4.3-4.18));
+ }
+ else if(mres>4.07 && mres<=4.18) {
+ sigma*=5./9.;
+ }
+ else if (mres<=4.07&&mres>4.03)
+ {
+ sigma*=(5./9. - 1.5/9.*sqrt((4.07-mres)*(4.07-mres))/(4.07-4.03));
+ }
+ else if (mres<=4.03&& mres>=4.013)
+ {
+ sigma*=(3.5/9. - 3.5/9.*sqrt((4.03-mres)*(4.03-mres))/(4.03-4.013));
+ }
+ else{
+ sigma=0.00001;
+ }
+ sigmacomputed = true;
+// std::cout << "DSDSXS "<<sigma<< " " << mres<<std::endl;
+ }
+
+ // DETERMINE XS FOR D*D
+ if(p->getDaug(0)->getNDaug() == 2 && ((p->getDaug(0)->getDaug(0)->getId()==D0S
+ && p->getDaug(0)->getDaug(1)->getId()==D0B)
+ ||(p->getDaug(0)->getDaug(0)->getId()==DPS
+ && p->getDaug(0)->getDaug(1)->getId()==DM)
+ ||(p->getDaug(0)->getDaug(0)->getId()==D0BS
+ && p->getDaug(0)->getDaug(1)->getId()==D0)
+ ||(p->getDaug(0)->getDaug(0)->getId()==DMS
+ && p->getDaug(0)->getDaug(1)->getId()==DP)) )
+ {
+ if(mres>=4.2){
+ sigma*=1.5/9.;
+ }
+ else if( mres>4.06 && mres<4.2){
+ sigma*=((1.5/9.+2.5/9.*sqrt((4.2-mres)*(4.2-mres))/(4.2-4.06)));
+ }
+ else if(mres>=4.015 && mres<4.06){
+ sigma*=((4./9.+3./9.*sqrt((4.06-mres)*(4.06-mres))/(4.06-4.015)));
+ }
+ else if (mres<4.015 && mres>=3.9){
+ sigma*=((7./9.-7/9.*sqrt((4.015-mres)*(4.015-mres))/(4.015-3.9)));
+ }
+ else {
+ sigma = 0.00001;
+ }
+ sigmacomputed = true;
+// std::cout << "DSDXS "<<sigma<< " " << mres<<std::endl;
+ }
+
+ // DETERMINE XS FOR Ds*Ds*
+ if (((p->getDaug(0)->getDaug(0)->getId()==DSPS && p->getDaug(0)->getDaug(1)->getId()==DSMS)))
+ {
+ if(mres>(2.112+2.112)){
+ sigma=0.4;
+ }
+ else {
+// sigma=0.4;
+// sigma = 0 surely below Ds*Ds* threshold? - ponyisi
+ sigma=0.00001;
+ }
+ sigmacomputed = true;
+// std::cout << "DsSDsSXS "<<sigma<< " " << mres<<std::endl;
+ }
+
+ // DETERMINE XS FOR Ds*Ds
+ if (p->getDaug(0)->getNDaug() == 2 && ((p->getDaug(0)->getDaug(0)->getId()==DSPS
+ && p->getDaug(0)->getDaug(1)->getId()==DSM)
+ || (p->getDaug(0)->getDaug(0)->getId()==DSMS
+ && p->getDaug(0)->getDaug(1)->getId()==DSP)))
+ {
+ if(mres>4.26){
+ sigma=0.05;
+ }
+ else if (mres>4.18 && mres<=4.26){
+ sigma*=1./9.*(0.05+0.95*sqrt((4.26-mres)*(4.26-mres))/(4.26-4.18));
+ }
+ else if (mres>4.16 && mres<=4.18){
+ sigma*=1/9.;
+ }
+ else if (mres<=4.16 && mres>4.08){
+ sigma*=1/9.*(1-sqrt((4.16-mres)*(4.16-mres))/(4.16-4.08));
+ }
+ else if (mres<=(4.08)){
+ sigma=0.00001;
+ }
+ sigmacomputed = true;
+// std::cout << "DsSDsXS "<<sigma<< " " << mres<<std::endl;
+ }
+
+ // DETERMINE XS FOR DD
+ if (p->getDaug(0)->getNDaug() == 2 && ((p->getDaug(0)->getDaug(0)->getId()==D0
+ && p->getDaug(0)->getDaug(1)->getId()==D0B)
+ ||(p->getDaug(0)->getDaug(0)->getId()==DP
+ && p->getDaug(0)->getDaug(1)->getId()==DM))){
+ sigma*=0.4/9.;
+ sigmacomputed = true;
+// std::cout << "DDXS "<<sigma<< " " << mres<<std::endl;
+ }
+
+ // DETERMINE XS FOR DsDs
+ if (p->getDaug(0)->getNDaug() == 2 && ((p->getDaug(0)->getDaug(0)->getId()==DSP && p->getDaug(0)->getDaug(1)->getId()==DSM))){
+ sigma*=0.2/9.;
+ sigmacomputed = true;
+// std::cout << "DsDsXS "<<sigma<< " " << mres<<std::endl;
+ }
+
+ // DETERMINE XS FOR MULTIBODY
+ if (p->getDaug(0)->getNDaug() == 3){
+ if(mres>4.03){
+ sigma*=0.5/9.;
+ }
+ else {
+ sigma=0.00001;
+ }
+ sigmacomputed = true;
+// std::cout << "DSDpiXS "<<sigma<< " " << mres<<std::endl;
+ }
+
+ if (! sigmacomputed) {
+ report(ERROR,"EvtGen") << "VPHOTOVISRHI: This model requires daughters to be listed in a particular order." << endl
+ << "The following are acceptable:" << endl
+ << "D0 anti-D0" << endl
+ << "D+ D-" << endl
+ << "D*0 anti-D0" << endl
+ << "anti-D*0 D0" << endl
+ << "D*+ D-" << endl
+ << "D*- D+" << endl
+ << "D*0 anti-D*0" << endl
+ << "D*+ D*-" << endl
+ << "D_s+ D_s-" << endl
+ << "D_s*+ D_s-" << endl
+ << "D_s*- D_s+" << endl
+ << "D_s*+ D_s*-" << endl
+ << "(D* D pi can be in any order)" << endl
+ << "Aborting..." << endl;
+ assert(0);
+ }
+
+ if(sigma<0) sigma = 0.0;
+
+// static double sigmax=sigma;
+// if (sigma>sigmax){
+// sigmax=sigma;
+// }
+
+ static int count=0;
+
+ count++;
+
+// if (count%10000==0){
+// std::cout << "sigma :"<<sigma<<std::endl;
+// std::cout << "sigmax:"<<sigmax<<std::endl;
+// }
+
+ double norm=sqrt(sigma);
+
+// EvtParticle* d=p->getDaug(0);
+
+
+ vertex(0,0,0,norm*p->eps(0)*p->epsParent(0).conj());
+ vertex(1,0,0,norm*p->eps(1)*p->epsParent(0).conj());
+ vertex(2,0,0,norm*p->eps(2)*p->epsParent(0).conj());
+
+ vertex(0,1,0,norm*p->eps(0)*p->epsParent(1).conj());
+ vertex(1,1,0,norm*p->eps(1)*p->epsParent(1).conj());
+ vertex(2,1,0,norm*p->eps(2)*p->epsParent(1).conj());
+
+ vertex(0,2,0,norm*p->eps(0)*p->epsParent(2).conj());
+ vertex(1,2,0,norm*p->eps(1)*p->epsParent(2).conj());
+ vertex(2,2,0,norm*p->eps(2)*p->epsParent(2).conj());
+
+ vertex(0,0,1,norm*p->eps(0)*p->epsParent(0).conj());
+ vertex(1,0,1,norm*p->eps(1)*p->epsParent(0).conj());
+ vertex(2,0,1,norm*p->eps(2)*p->epsParent(0).conj());
+
+ vertex(0,1,1,norm*p->eps(0)*p->epsParent(1).conj());
+ vertex(1,1,1,norm*p->eps(1)*p->epsParent(1).conj());
+ vertex(2,1,1,norm*p->eps(2)*p->epsParent(1).conj());
+
+ vertex(0,2,1,norm*p->eps(0)*p->epsParent(2).conj());
+ vertex(1,2,1,norm*p->eps(1)*p->epsParent(2).conj());
+ vertex(2,2,1,norm*p->eps(2)*p->epsParent(2).conj());
+
+ return;
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2004 Cornell
+//
+// Module: EvtGen/EvtVPHOtoVISRHi.hh
+//
+// Description:
+//
+// Modification history:
+//
+// Ryd March 20, 2004 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVPHOTOVISRHI_HH
+#define EVTVPHOTOVISRHI_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include <string>
+
+class EvtParticle;
+
+class EvtVPHOtoVISRHi:public EvtDecayAmp {
+
+public:
+
+ EvtVPHOtoVISRHi() {}
+ virtual ~EvtVPHOtoVISRHi();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVSPPwave.cc
+//
+// Description: Routine to decay vector-> scalar photon in P-wave
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtVSPPwave.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtVSPPwave::~EvtVSPPwave() {}
+
+std::string EvtVSPPwave::getName(){
+
+ return "VSP_PWAVE";
+
+}
+
+
+EvtDecayBase* EvtVSPPwave::clone(){
+
+ return new EvtVSPPwave;
+
+}
+
+void EvtVSPPwave::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::PHOTON);
+
+}
+
+void EvtVSPPwave::initProbMax(){
+
+ setProbMax(1);
+}
+
+void EvtVSPPwave::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *gamma;
+ gamma = p->getDaug(1);
+
+ double m_p=p->mass();
+ EvtVector4R momgamma = gamma->getP4();
+
+ //work in the parent ,p, rest frame.
+ EvtVector4R p4_p;
+ p4_p.set(m_p, 0.0, 0.0, 0.0 );
+
+ // Put phase space results into the daughters.
+
+ EvtTensor4C tds;
+
+ double norm=1/(m_p*momgamma.d3mag());
+
+ tds = dual(directProd(norm*p4_p,momgamma));
+
+ vertex(0,0,(tds.cont1( p->eps(0))).cont(
+ gamma->epsParentPhoton(0).conj() ) );
+ vertex(0,1,(tds.cont1( p->eps(0))).cont(
+ gamma->epsParentPhoton(1).conj() ) );
+
+ vertex(1,0,(tds.cont1( p->eps(1))).cont(
+ gamma->epsParentPhoton(0).conj() ) );
+ vertex(1,1,(tds.cont1( p->eps(1))).cont(
+ gamma->epsParentPhoton(1).conj() ) );
+
+ vertex(2,0,(tds.cont1( p->eps(2))).cont(
+ gamma->epsParentPhoton(0).conj() ) );
+ vertex(2,1,(tds.cont1( p->eps(2))).cont(
+ gamma->epsParentPhoton(1).conj() ) );
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVSPPwave.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVSPPWAVE_HH
+#define EVTVSPPWAVE_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVSPPwave:public EvtDecayAmp {
+
+public:
+
+ EvtVSPPwave() {}
+ virtual ~EvtVSPPwave();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVSS.cc
+//
+// Description: Routine to decay vector-> scalar scalar
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVSS.hh"
+#include <string>
+
+EvtVSS::~EvtVSS() {}
+
+std::string EvtVSS::getName(){
+
+ return "VSS";
+
+}
+
+
+EvtDecayBase* EvtVSS::clone(){
+
+ return new EvtVSS;
+
+}
+
+void EvtVSS::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+
+ // check that there are 2 daughters
+ checkNDaug(2);
+
+ // check the parent and daughter spins
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+}
+
+void EvtVSS::initProbMax() {
+
+ setProbMax(1.0);
+
+}
+
+void EvtVSS::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtVector4R pDaug = p->getDaug(0)->getP4();
+
+ double norm=1.0/pDaug.d3mag();
+
+ for (int i=0; i<3; i++) vertex(i,norm*pDaug*(p->eps(i)));
+
+ return;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVSS.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVSS_HH
+#define EVTVSS_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVSS:public EvtDecayAmp {
+
+public:
+
+ EvtVSS() {}
+ virtual ~EvtVSS();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 INFN-Pisa
+//
+// Module: EvtVSSBMixCPT.cc
+//
+// Description:
+// Routine to decay vector-> scalar scalar with coherent BB-like mixing
+// including CPT effects
+// Based on VSSBMIX
+//
+// Modification history:
+//
+// F. Sandrelli, Fernando M-V March 03, 2002
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenModels/EvtVSSBMixCPT.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtRandom.hh"
+using std::endl;
+
+EvtVSSBMixCPT::~EvtVSSBMixCPT() {}
+
+std::string EvtVSSBMixCPT::getName(){
+ return "VSS_BMIX";
+}
+
+
+EvtDecayBase* EvtVSSBMixCPT::clone(){
+ return new EvtVSSBMixCPT;
+}
+
+void EvtVSSBMixCPT::init(){
+
+ if ( getNArg()>4) checkNArg(14,12,8);
+
+ if (getNArg()<1) {
+ report(ERROR,"EvtGen") << "EvtVSSBMix generator expected "
+ << " at least 1 argument (deltam) but found:"<<getNArg()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ // check that we are asked to produced exactly 2 daughters
+ //4 are allowed if they are aliased..
+ checkNDaug(2,4);
+
+ if ( getNDaug()==4) {
+ if ( getDaug(0)!=getDaug(2)||getDaug(1)!=getDaug(3)){
+ report(ERROR,"EvtGen") << "EvtVSSBMixCPT generator allows "
+ << " 4 daughters only if 1=3 and 2=4"
+ << " (but 3 and 4 are aliased "<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ }
+ // check that we are asked to decay a vector particle into a pair
+ // of scalar particles
+
+ checkSpinParent(EvtSpinType::VECTOR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+ // check that our daughter particles are charge conjugates of each other
+ if(!(EvtPDL::chargeConj(getDaug(0)) == getDaug(1))) {
+ report(ERROR,"EvtGen") << "EvtVSSBMixCPT generator expected daughters "
+ << "to be charge conjugate." << endl
+ << " Found " << EvtPDL::name(getDaug(0)).c_str() << " and "
+ << EvtPDL::name(getDaug(1)).c_str() << endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ // check that both daughter particles have the same lifetime
+ if(EvtPDL::getctau(getDaug(0)) != EvtPDL::getctau(getDaug(1))) {
+ report(ERROR,"EvtGen") << "EvtVSSBMixCPT generator expected daughters "
+ << "to have the same lifetime." << endl
+ << " Found ctau = "
+ << EvtPDL::getctau(getDaug(0)) << " mm and "
+ << EvtPDL::getctau(getDaug(1)) << " mm" << endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ // precompute quantities that will be used to generate events
+ // and print out a summary of parameters for this decay
+
+ // mixing frequency in hbar/mm
+ _freq= getArg(0)/EvtConst::c;
+
+ // deltaG
+ double gamma= 1/EvtPDL::getctau(getDaug(0)); // gamma/c (1/mm)
+ _dGamma=0.0;
+ double dgog=0.0;
+ if ( getNArg() > 1 ) {
+ dgog=getArg(1);
+ _dGamma=dgog*gamma;
+ }
+ // q/p
+ _qoverp = EvtComplex(1.0,0.0);
+ if ( getNArg() > 2){
+ _qoverp = EvtComplex(getArg(2),0.0);
+ }
+ if ( getNArg() > 3) {
+ _qoverp = getArg(2)*EvtComplex(cos(getArg(3)),sin(getArg(3)));
+ }
+ _poverq=1.0/_qoverp;
+
+ // decay amplitudes
+ _A_f=EvtComplex(1.0,0.0);
+ _Abar_f=EvtComplex(0.0,0.0);
+ _A_fbar=_Abar_f; // CPT conservation
+ _Abar_fbar=_A_f; // CPT conservation
+ if ( getNArg() > 4){
+ _A_f=getArg(4)*EvtComplex(cos(getArg(5)),sin(getArg(5))); // this allows for DCSD
+ _Abar_f=getArg(6)*EvtComplex(cos(getArg(7)),sin(getArg(7))); // this allows for DCSD
+ if ( getNArg() > 8 ){
+ // CPT violation in decay
+ _A_fbar=getArg(8)*EvtComplex(cos(getArg(9)),sin(getArg(9)));
+ _Abar_fbar=getArg(10)*EvtComplex(cos(getArg(11)),sin(getArg(11)));
+ } else {
+ // CPT conservation in decay
+ _A_fbar=_Abar_f;
+ _Abar_fbar=_A_f;
+ }
+ }
+
+ // CPT violation in mixing
+ _z = EvtComplex(0.0,0.0);
+ if ( getNArg() > 12 ){
+ _z = EvtComplex(getArg(12),getArg(13));
+ }
+
+
+ // some printout
+ double tau= 1e12*EvtPDL::getctau(getDaug(0))/EvtConst::c; // in ps
+ double dm= 1e-12*getArg(0); // B0/anti-B0 mass difference in hbar/ps
+ double x= dm*tau;
+ double y= dgog*0.5; //y=dgamma/(2*gamma)
+ double qop2 = abs(_qoverp*_qoverp);
+ _chib0_b0bar=qop2*(x*x+y*y)/(qop2*(x*x+y*y)+2+x*x-y*y); // does not include CPT in mixing
+ _chib0bar_b0=(1/qop2)*(x*x+y*y)/((1/qop2)*(x*x+y*y)+2+x*x-y*y); // does not include CPT in mixing
+
+ if ( verbose() ) {
+ report(INFO,"EvtGen") << "VSS_BMIXCPT will generate mixing and CPT/CP effects in mixing:"
+ << endl << endl
+ << " " << EvtPDL::name(getParentId()).c_str() << " --> "
+ << EvtPDL::name(getDaug(0)).c_str() << " + "
+ << EvtPDL::name(getDaug(1)).c_str() << endl << endl
+ << "using parameters:" << endl << endl
+ << " delta(m) = " << dm << " hbar/ps" << endl
+ << " _freq = " << _freq << " hbar/mm" << endl
+ << " dgog = " << dgog <<endl
+ << " dGamma = " << _dGamma <<" hbar/mm" <<endl
+ << " q/p = " << _qoverp << endl
+ << " z = " << _z << endl
+ << " tau = " << tau << " ps" << endl
+ << " x = " << x << endl
+ << " chi(B0->B0bar) = " << _chib0_b0bar << endl
+ << " chi(B0bar->B0) = " << _chib0bar_b0 << endl
+ << " Af = " << _A_f << endl
+ << " Abarf = " << _Abar_f << endl
+ << " Afbar = " << _A_fbar << endl
+ << " Abarfbar = " << _Abar_fbar << endl
+ << endl;
+ }
+}
+
+void EvtVSSBMixCPT::initProbMax(){
+ // this value is ok for reasonable values of all the parameters
+ setProbMax(4.0);
+}
+
+void EvtVSSBMixCPT::decay( EvtParticle *p ){
+
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ // generate a final state according to phase space
+
+ double rndm= EvtRandom::random();
+
+ if ( getNDaug()==4) {
+ EvtId tempDaug[2];
+
+ if ( rndm < 0.5 ) { tempDaug[0]=getDaug(0); tempDaug[1]=getDaug(3); }
+ else{ tempDaug[0]=getDaug(2); tempDaug[1]=getDaug(1); }
+
+ p->initializePhaseSpace(2,tempDaug);
+ }
+ else{ //nominal case.
+ p->initializePhaseSpace(2,getDaugs());
+ }
+
+ EvtParticle *s1,*s2;
+
+ s1 = p->getDaug(0);
+ s2 = p->getDaug(1);
+ //delete any daughters - if there are daughters, they
+ //are from the initialization and will be redone later
+ if ( s1->getNDaug() > 0 ) { s1->deleteDaughters();}
+ if ( s2->getNDaug() > 0 ) { s2->deleteDaughters();}
+
+ EvtVector4R p1= s1->getP4();
+ EvtVector4R p2= s2->getP4();
+
+ // throw a random number to decide if this final state should be mixed
+ rndm= EvtRandom::random();
+ int mixed= (rndm < 0.5) ? 1 : 0;
+
+ // if this decay is mixed, choose one of the 2 possible final states
+ // with equal probability (re-using the same random number)
+ if(mixed==1) {
+ EvtId mixedId= (rndm < 0.25) ? getDaug(0) : getDaug(1);
+ EvtId mixedId2= mixedId;
+ if (getNDaug()==4&&rndm<0.25) mixedId2=getDaug(2);
+ if (getNDaug()==4&&rndm>0.25) mixedId2=getDaug(3);
+ s1->init(mixedId, p1);
+ s2->init(mixedId2, p2);
+ }
+
+
+ // if this decay is unmixed, choose one of the 2 possible final states
+ // with equal probability (re-using the same random number)
+ if(mixed==0) {
+ EvtId unmixedId = (rndm < 0.75) ? getDaug(0) : getDaug(1);
+ EvtId unmixedId2= (rndm < 0.75) ? getDaug(1) : getDaug(0);
+ if (getNDaug()==4&&rndm<0.75) unmixedId2=getDaug(3);
+ if (getNDaug()==4&&rndm>0.75) unmixedId2=getDaug(2);
+ s1->init(unmixedId, p1);
+ s2->init(unmixedId2, p2);
+ }
+
+ // choose a decay time for each final state particle using the
+ // lifetime (which must be the same for both particles) in pdt.table
+ // and calculate the lifetime difference for this event
+ s1->setLifetime();
+ s2->setLifetime();
+ double dct= s1->getLifetime() - s2->getLifetime(); // in mm
+
+ // Convention: _dGamma=GammaLight-GammaHeavy
+ EvtComplex exp1(-0.25*_dGamma*dct,0.5*_freq*dct);
+
+ /*
+ //Find the flavor of the B that decayed first.
+ EvtId firstDec = (dct > 0 ) ? s2->getId() : s1->getId();
+
+ //This tags the flavor of the other particle at that time.
+ EvtId stateAtDeltaTeq0 = ( firstDec==B0 ) ? B0B : B0;
+ */
+ EvtId stateAtDeltaTeq0 = (s2->getId()==B0) ? B0B : B0;
+
+ // calculate the oscillation amplitude, based on wether this event is mixed or not
+ EvtComplex osc_amp;
+
+ //define some useful functions: (see BAD #188 eq. 39 for ref.)
+ EvtComplex gp=0.5*(exp(-1.0*exp1)+exp(exp1));
+ EvtComplex gm=0.5*(exp(-1.0*exp1)-exp(exp1));
+ EvtComplex sqz=sqrt(abs(1-_z*_z))*exp(EvtComplex(0,arg(1-_z*_z)/2));
+
+ EvtComplex BB=gp+_z*gm; // <B0|B0(t)>
+ EvtComplex barBB=-sqz*_qoverp*gm; // <B0bar|B0(t)>
+ EvtComplex BbarB=-sqz*_poverq*gm; // <B0|B0bar(t)>
+ EvtComplex barBbarB=gp-_z*gm; // <B0bar|B0bar(t)>
+
+ //
+ if ( !mixed&&stateAtDeltaTeq0==B0 ) {
+ osc_amp= BB*_A_f+barBB*_Abar_f;
+ }
+ if ( !mixed&&stateAtDeltaTeq0==B0B ) {
+ osc_amp= barBbarB*_Abar_fbar+BbarB*_A_fbar;
+ }
+
+ if ( mixed&&stateAtDeltaTeq0==B0 ) {
+ osc_amp=barBB*_Abar_fbar+BB*_A_fbar;
+ }
+ if ( mixed&&stateAtDeltaTeq0==B0B ) {
+ osc_amp=BbarB*_A_f+barBbarB*_Abar_f;
+ }
+
+ // store the amplitudes for each parent spin basis state
+ double norm=1.0/p1.d3mag();
+ vertex(0,norm*osc_amp*p1*(p->eps(0)));
+ vertex(1,norm*osc_amp*p1*(p->eps(1)));
+ vertex(2,norm*osc_amp*p1*(p->eps(2)));
+
+ return ;
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2002 INFN-Pisa
+//
+// Module: EvtGen/EvtVSSBMixCPT.hh
+//
+// Description:
+// Routine to decay vector-> scalar scalar with coherent BB-like mixing
+// including CPT effects
+// Based on VSSBMIX
+//
+// Modification history:
+//
+// F. Sandrelli, Fernando M-V March 03, 2002
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVSSBMIXCPT_HH
+#define EVTVSSBMIXCPT_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtComplex.hh"
+
+class EvtVSSBMixCPT : public EvtDecayAmp {
+public:
+ EvtVSSBMixCPT() {}
+ virtual ~EvtVSSBMixCPT();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+ int nRealDaughters() {return 2;}
+private:
+ double _freq; // mixing frequency in hbar/mm
+ double _dGamma;
+ EvtComplex _qoverp;
+ EvtComplex _poverq;
+ EvtComplex _z;
+ double _chib0_b0bar;
+ double _chib0bar_b0;
+
+ EvtComplex _A_f;
+ EvtComplex _Abar_f;
+
+ EvtComplex _A_fbar;
+ EvtComplex _Abar_fbar;
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVSSMix.cc
+//
+// Description: Routine to decay vector-> scalar scalar
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenModels/EvtVSSMix.hh"
+#include "EvtGenBase/EvtId.hh"
+#include <string>
+#include "EvtGenBase/EvtConst.hh"
+
+EvtVSSMix::~EvtVSSMix() {}
+
+std::string EvtVSSMix::getName(){
+
+ return "VSS_MIX";
+
+}
+
+
+EvtDecayBase* EvtVSSMix::clone(){
+
+ return new EvtVSSMix;
+
+}
+
+void EvtVSSMix::init(){
+
+ // check that there are 1 arguments
+ checkNArg(1);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+
+}
+
+void EvtVSSMix::initProbMax(){
+
+ setProbMax(0.5);
+
+}
+
+void EvtVSSMix::decay( EvtParticle *p ){
+
+ //added by Lange Jan4,2000
+ static EvtId B0=EvtPDL::getId("B0");
+ static EvtId B0B=EvtPDL::getId("anti-B0");
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ EvtParticle *s1,*s2;
+ s1 = p->getDaug(0);
+ s2 = p->getDaug(1);
+ EvtVector4R s1mom = s1->getP4();
+
+ double t1,t2,dm;
+
+ s1->setLifetime();
+ s2->setLifetime();
+
+ t1=s1->getLifetime();
+ t2=s2->getLifetime();
+
+ //dm should probably be a parameter to this model.
+
+ dm=getArg(0)/EvtConst::c;
+
+ EvtId d1,d2;
+
+ d1=s1->getId();
+ d2=s2->getId();
+
+ double mix_amp=0.;
+ if (d1==B0&&d2==B0B) mix_amp=cos(0.5*dm*(t1-t2));
+ if (d1==B0B&&d2==B0) mix_amp=cos(0.5*dm*(t1-t2));
+ if (d1==B0&&d2==B0) mix_amp=sin(0.5*dm*(t1-t2));
+ if (d1==B0B&&d2==B0B) mix_amp=sin(0.5*dm*(t1-t2));
+
+ double norm=1.0/s1mom.d3mag();
+
+ vertex(0,norm*mix_amp*s1mom*(p->eps(0)));
+ vertex(1,norm*mix_amp*s1mom*(p->eps(1)));
+ vertex(2,norm*mix_amp*s1mom*(p->eps(2)));
+
+ return ;
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVSSMix.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVSSMIX_HH
+#define EVTVSSMIX_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVSSMix:public EvtDecayAmp {
+
+public:
+
+ EvtVSSMix() {}
+ virtual ~EvtVSSMix();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVVP.cc
+//
+// Description: The decay Vector -> Vector gamma
+// E.g., CHI1->PSI GAMMA
+//
+// Modification history:
+//
+// RYD September 5, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtVector3C.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenModels/EvtVVP.hh"
+#include "EvtGenBase/EvtReport.hh"
+
+EvtVVP::~EvtVVP() {}
+
+std::string EvtVVP::getName(){
+
+ return "VVP";
+
+}
+
+
+EvtDecayBase* EvtVVP::clone(){
+
+ return new EvtVVP;
+
+}
+
+void EvtVVP::init(){
+
+ // check that there are 8 arguments
+
+ checkNArg(8);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::PHOTON);
+}
+
+void EvtVVP::initProbMax(){
+
+ setProbMax(4.0);
+
+}
+
+void EvtVVP::decay(EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *v,*ph;
+
+ v = p->getDaug(0);
+ ph = p->getDaug(1);
+
+ EvtVector3C epsp[3];
+ EvtVector3C epsv[3];
+ EvtVector3C epsph[2];
+
+ epsp[0]=p->eps(0).vec();
+ epsp[1]=p->eps(1).vec();
+ epsp[2]=p->eps(2).vec();
+
+ epsv[0]=v->eps(0).vec().conj();
+ epsv[1]=v->eps(1).vec().conj();
+ epsv[2]=v->eps(2).vec().conj();
+
+ epsph[0]=ph->epsParentPhoton(0).vec().conj();
+ epsph[1]=ph->epsParentPhoton(1).vec().conj();
+
+ int i,j,k;
+ for(i=0;i<3;i++){
+ for(j=0;j<3;j++){
+ for(k=0;k<2;k++){
+ vertex(i,j,k,epsp[i].cross(epsv[j])*epsph[k]);
+ }
+ }
+ }
+
+ return;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVVP.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVVP_HH
+#define EVTVVP_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVVP:public EvtDecayAmp {
+
+public:
+
+ EvtVVP() {}
+ virtual ~EvtVVP();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVVSPwave.cc
+//
+// Description: Routine to decay vector-> vector pi pi where the
+// decay is S-wave dominated.
+//
+// Modification history:
+//
+// Jim Hunt June 4, 2008 Module Created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVVPIPI_WEIGHTED.hh"
+#include <string>
+using std::endl;
+
+EvtVVPIPI_WEIGHTED::~EvtVVPIPI_WEIGHTED() {}
+
+std::string EvtVVPIPI_WEIGHTED::getName(){
+
+ return "VVPIPI_WEIGHTED";
+
+}
+
+
+EvtDecayBase* EvtVVPIPI_WEIGHTED::clone(){
+
+ return new EvtVVPIPI_WEIGHTED;
+
+}
+
+void EvtVVPIPI_WEIGHTED::init(){
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+
+
+
+ if ((!(getDaug(1)==PIP&&getDaug(2)==PIM))&&
+ (!(getDaug(1)==PI0&&getDaug(2)==PI0))) {
+ report(ERROR,"EvtGen") << "EvtVVPIPI_WEIGHTED generator expected "
+ << " pi+ and pi- (or pi0 and pi0) "
+ << "as 2nd and 3rd daughter. "<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+}
+
+void EvtVVPIPI_WEIGHTED::initProbMax() {
+ //Hard coded... should not be hard to calculate...
+ setProbMax(0.08* 1.13 );
+}
+
+double reweight_event(double pipi_mass)
+{
+ pipi_mass *= 1000.0;
+ return sqrt(
+ -3.6911336508223251 +
+ 0.019119831948029617 * pipi_mass +
+ -1.8962883732377376e-05 * pipi_mass * pipi_mass
+ );
+}
+
+void EvtVVPIPI_WEIGHTED::decay( EvtParticle *psi_prime){
+
+ psi_prime->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *jpsi,*pi1,*pi2;
+
+ jpsi=psi_prime->getDaug(0);
+ pi1=psi_prime->getDaug(1);
+ pi2=psi_prime->getDaug(2);
+
+// Put phase space results into the daughters.
+
+ EvtVector4C ep0,ep1,ep2;
+
+ ep0=psi_prime->eps(0);
+ ep1=psi_prime->eps(1);
+ ep2=psi_prime->eps(2);
+
+ EvtVector4C e0,e1,e2;
+
+ e0 = jpsi->epsParent(0);
+ e1 = jpsi->epsParent(1);
+ e2 = jpsi->epsParent(2);
+
+ double mass2 = (pi1->getP4()+pi2->getP4()).mass2();
+
+ double fac = mass2-4*pi1->mass()*pi2->mass();
+
+ fac *= reweight_event(sqrt(mass2));
+
+ vertex(0,0,fac*(ep0*e0.conj()));
+ vertex(0,1,fac*(ep0*e1.conj()));
+ vertex(0,2,fac*(ep0*e2.conj()));
+
+ vertex(1,0,fac*(ep1*e0.conj()));
+ vertex(1,1,fac*(ep1*e1.conj()));
+ vertex(1,2,fac*(ep1*e2.conj()));
+
+ vertex(2,0,fac*(ep2*e0.conj()));
+ vertex(2,1,fac*(ep2*e1.conj()));
+ vertex(2,2,fac*(ep2*e2.conj()));
+
+ return ;
+
+}
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVVpipi.hh
+//
+// Description: For decays of a vector to a vector and 2 pions,
+// the decay is assumed to be dominated by S-wave.
+//
+// Modification history:
+//
+// Jim Hunt June 4, 2008 Module Created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVVPIPI_WEIGHTED_HH
+#define EVTVVPIPI_WEIGHTED_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+#include <string>
+
+class EvtParticle;
+
+class EvtVVPIPI_WEIGHTED:public EvtDecayAmp {
+
+public:
+
+ EvtVVPIPI_WEIGHTED() {}
+ virtual ~EvtVVPIPI_WEIGHTED();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVVSPwave.cc
+//
+// Description: Routine to decay vector-> vector scalar in Partial-wave
+// Routine to decay a vector into a vector and scalar. Started
+// by ryd on Aug 20, 1996.
+//
+// Modification history:
+//
+// RYD November 24, 1996 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVVSPwave.hh"
+#include <string>
+using std::endl;
+
+EvtVVSPwave::~EvtVVSPwave() {}
+
+std::string EvtVVSPwave::getName(){
+
+ return "VVS_PWAVE";
+
+}
+
+
+EvtDecayBase* EvtVVSPwave::clone(){
+
+ return new EvtVVSPwave;
+
+}
+
+void EvtVVSPwave::init(){
+
+ // check that there are 6 arguments
+ checkNArg(6);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::SCALAR);
+}
+
+void EvtVVSPwave::initProbMax() {
+
+ //probmax is 1.0 for all possible decays I think!
+
+ setProbMax(1.0);
+
+}
+
+void EvtVVSPwave::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtComplex as(getArg(0)*cos(getArg(1)),getArg(0)*sin(getArg(1)));
+ EvtComplex ap(getArg(2)*cos(getArg(3)),getArg(2)*sin(getArg(3)));
+ EvtComplex ad(getArg(4)*cos(getArg(5)),getArg(4)*sin(getArg(5)));
+
+ if (ap!=EvtComplex(0.0,0.0)) {
+ report(ERROR,"EvtGen") << "In EvtVectorToVectorScalar.cc"<<endl;
+ report(ERROR,"EvtGen") << "P wave not yet implemented!!"<<endl;
+ ::abort();
+ }
+
+ EvtParticle *v,*s;
+ v=p->getDaug(0);
+ s=p->getDaug(1);
+
+ EvtTensor4C d,g;
+
+ g.setdiag(1.0,-1.0,-1.0,-1.0);
+
+ d=ad*((1.0/(v->getP4().d3mag()*v->getP4().d3mag()))*directProd(v->getP4(),v->getP4())+(1/3.0)*g)+
+ as*g;
+
+ EvtVector4C ep0,ep1,ep2;
+
+ ep0=d.cont1(p->eps(0));
+ ep1=d.cont1(p->eps(1));
+ ep2=d.cont1(p->eps(2));
+
+ vertex(0,0,ep0.cont(v->eps(0).conj()));
+ vertex(0,1,ep0.cont(v->eps(1).conj()));
+ vertex(0,2,ep0.cont(v->eps(2).conj()));
+
+ vertex(1,0,ep1.cont(v->eps(0).conj()));
+ vertex(1,1,ep1.cont(v->eps(1).conj()));
+ vertex(1,2,ep1.cont(v->eps(2).conj()));
+
+ vertex(2,0,ep2.cont(v->eps(0).conj()));
+ vertex(2,1,ep2.cont(v->eps(1).conj()));
+ vertex(2,2,ep2.cont(v->eps(2).conj()));
+
+ return ;
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVVSPwave.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVVSPWAVE_HH
+#define EVTVVSPWAVE_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVVSPwave:public EvtDecayAmp {
+
+public:
+
+ EvtVVSPwave() {}
+ virtual ~EvtVVSPwave();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVVSPwave.cc
+//
+// Description: Routine to decay vector-> vector pi pi where the
+// decay is S-wave dominated.
+//
+// Modification history:
+//
+// RYD December 11, 1999 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVVpipi.hh"
+#include <string>
+using std::endl;
+
+EvtVVpipi::~EvtVVpipi() {}
+
+std::string EvtVVpipi::getName(){
+
+ return "VVPIPI";
+
+}
+
+
+EvtDecayBase* EvtVVpipi::clone(){
+
+ return new EvtVVpipi;
+
+}
+
+void EvtVVpipi::init(){
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+
+
+
+ if ((!(getDaug(1)==PIP&&getDaug(2)==PIM))&&
+ (!(getDaug(1)==PI0&&getDaug(2)==PI0))) {
+ report(ERROR,"EvtGen") << "EvtVVpipi generator expected "
+ << " pi+ and pi- (or pi0 and pi0) "
+ << "as 2nd and 3rd daughter. "<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+}
+
+void EvtVVpipi::initProbMax() {
+
+ //Hard coded... should not be hard to calculate...
+ setProbMax(0.08);
+
+}
+
+void EvtVVpipi::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *v,*s1,*s2;
+
+ v=p->getDaug(0);
+ s1=p->getDaug(1);
+ s2=p->getDaug(2);
+
+// Put phase space results into the daughters.
+
+ EvtVector4C ep0,ep1,ep2;
+
+ ep0=p->eps(0);
+ ep1=p->eps(1);
+ ep2=p->eps(2);
+
+ double fac=(s1->getP4()+s2->getP4()).mass2()-4*s1->mass()*s2->mass();
+
+ vertex(0,0,fac*(ep0*v->epsParent(0).conj()));
+ vertex(0,1,fac*(ep0*v->epsParent(1).conj()));
+ vertex(0,2,fac*(ep0*v->epsParent(2).conj()));
+
+ vertex(1,0,fac*(ep1*v->epsParent(0).conj()));
+ vertex(1,1,fac*(ep1*v->epsParent(1).conj()));
+ vertex(1,2,fac*(ep1*v->epsParent(2).conj()));
+
+ vertex(2,0,fac*(ep2*v->epsParent(0).conj()));
+ vertex(2,1,fac*(ep2*v->epsParent(1).conj()));
+ vertex(2,2,fac*(ep2*v->epsParent(2).conj()));
+
+ return ;
+
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVVpipi.hh
+//
+// Description: For decays of a vector to a vector and 2 pions,
+// the decay is assumed to be dominated by S-wave.
+//
+// Modification history:
+//
+// RYD/CAHN December 10, 1999 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVVPIPI_HH
+#define EVTVVPIPI_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVVpipi:public EvtDecayAmp {
+
+public:
+
+ EvtVVpipi() {}
+ virtual ~EvtVVpipi();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVectorIsr.cc
+//
+// Description:
+// This is a special decay model to generate e+e- -> phi gamma + soft gammas
+// using soft collinear ISR calculation from AfkQed
+// This is implemented as a decay of the VPHO.
+//
+// Modification history:
+//
+// Joe Izen Oct, 2005 Soft Colinear Photons (secondary ISR) ported from AfkQed
+// Joe Izen Dec 16, 2002 Fix cos_theta distribution - prevents boom at cos_theta=+/-1
+// RYD/Adriano June 16, 1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+
+#include <math.h>
+#include <iostream>
+#include <iomanip>
+#include <sstream>
+
+
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPhotonParticle.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtAbsLineShape.hh"
+#include "EvtGenModels/EvtVectorIsr.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtAbsLineShape.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtVectorIsr::~EvtVectorIsr() {}
+
+std::string EvtVectorIsr::getName(){
+
+ return "VECTORISR";
+}
+
+EvtDecayBase* EvtVectorIsr::clone(){
+
+ return new EvtVectorIsr;
+}
+
+void EvtVectorIsr::init(){
+
+ // check that there are 2 arguments
+
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+ checkSpinDaughter(1,EvtSpinType::PHOTON);
+
+ int narg = getNArg();
+ if ( narg > 4 ) checkNArg(4);
+
+ csfrmn=1.;
+ csbkmn=1.;
+ fmax=1.2;
+ firstorder=false;
+
+ if ( narg > 0 ) csfrmn=getArg(0);
+ if ( narg > 1 ) csbkmn=getArg(1);
+ if ( narg > 2 ) fmax=getArg(2);
+ if ( narg > 3 ) firstorder=true;
+}
+
+
+void EvtVectorIsr::initProbMax(){
+
+ noProbMax();
+}
+
+void EvtVectorIsr::decay( EvtParticle *p ){
+
+ //the elctron mass
+ double electMass=EvtPDL::getMeanMass(EvtPDL::getId("e-"));
+
+ static EvtId gammaId=EvtPDL::getId("gamma");
+
+ EvtParticle *phi;
+ EvtParticle *gamma;
+
+ //4-mom of the two colinear photons to the decay of the vphoton
+ EvtVector4R p4softg1(0.,0.,0.,0.);
+ EvtVector4R p4softg2(0.,0.,0.,0.);
+
+
+ //get pointers to the daughters set
+ //get masses/initial phase space - will overwrite the
+ //p4s below to get the kinematic distributions correct
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+ phi=p->getDaug(0);
+ gamma=p->getDaug(1);
+
+ //Generate soft colinear photons and the electron and positron energies after emission.
+ //based on method of AfkQed and notes of Vladimir Druzhinin.
+ //
+ //function ckhrad(eb,q2m,r1,r2,e01,e02,f_col)
+ //eb: energy of incoming electrons in CM frame
+ //q2m: minimum invariant mass of the virtual photon after soft colinear photon emission
+ //returned arguments
+ //e01,e02: energies of e+ and e- after soft colinear photon emission
+ //fcol: weighting factor for Born cross section for use in an accept/reject test.
+
+
+ double wcm=p->mass();
+ double eb=0.5*wcm;
+
+ //TO guarantee the collinear photons are softer than the ISR photon, require q2m > m*wcm
+ double q2m=phi->mass()*wcm;
+ double f_col(0.);
+ double e01(0.);
+ double e02(0.);
+ double ebeam=eb;
+ double wcm_new = wcm;
+ double s_new = wcm*wcm;
+
+ double fran = 1.;
+ double f = 0;
+ int m = 0;
+ double largest_f=0;//only used when determining max weight for this vector particle mass
+
+ if (!firstorder){
+ while (fran > f){
+ m++;
+
+ int n=0;
+ while (f_col == 0.){
+ n++;
+ ckhrad(eb,q2m,e01,e02,f_col);
+ if (n > 10000){
+ report(INFO,"EvtGen") << "EvtVectorIsr is having problems. Called ckhrad 10000 times.\n";
+ assert(0);
+ }
+ }
+
+ //Effective beam energy after soft photon emission (neglecting electron mass)
+ ebeam = sqrt(e01*e02);
+ wcm_new = 2*ebeam;
+ s_new = wcm_new*wcm_new;
+
+ //The Vector mass should never be greater than wcm_new
+ if (phi->mass() > wcm_new){
+ report(INFO,"EvtGen") << "EvtVectorIsr finds Vector mass="<<phi->mass()<<" > Weff=" << wcm_new<<". Should not happen\n";
+ assert(0);
+ }
+
+ //Determine Born cross section @ wcm_new for e+e- -> gamma V. We aren't interested in the absolute normalization
+ //Just the functional dependence. Assuming a narrow resonance when determining cs_Born
+ double cs_Born = 1.;
+ if (EvtPDL::getMaxRange(phi->getId()) > 0.) {
+ double x0 = 1 - EvtPDL::getMeanMass(phi->getId())*EvtPDL::getMeanMass(phi->getId())/s_new;
+
+ //L = log(s/(electMass*electMass)
+ double L = 2.*log(wcm_new/electMass);
+
+ // W(x0) is actually 2*alpha/pi times the following
+ double W = (L-1.)*(1. - x0 +0.5*x0*x0);
+
+ //Born cross section is actually 12*pi*pi*Gammaee/EvtPDL::getMeanMass(phi->getId()) times the following
+ //(we'd need the full W(x0) as well)
+ cs_Born = W/s_new;
+ }
+
+ f = cs_Born*f_col;
+
+ //if fmax was set properly, f should NEVER be larger than fmax
+ if (f > fmax && fmax > 0.){
+ report(INFO,"EvtGen") << "EvtVectorIsr finds a problem with fmax, the maximum weight setting\n"
+ << "fmax is the third decay argument in the .dec file. VectorIsr attempts to set it reasonably if it wasn't provided\n"
+ << "To determine a more appropriate value, build GeneratorQAApp, and set the third argument for this decay <0.\n"
+ << "If you haven't been providing the first 2 arguments, set them to be 1. 1.). The program will report\n"
+ << "the largest weight it finds. You should set fmax to be slightly larger.\n"
+ << "Alternatively try the following values for various vector particles: "
+ << "phi->1.15 J/psi-psi(4415)->0.105\n"
+ << "The current value of f and fmax for " << EvtPDL::name(phi->getId()) << " are " << f << " " << fmax << "\n"
+ << "Will now assert\n";
+ assert(0);
+ }
+
+
+ if (fmax > 0.) {
+ fran = fmax*EvtRandom::Flat(0.0,1.0);
+ }
+
+ else {
+ //determine max weight for this vector particle mass
+ if (f>largest_f) {
+ largest_f = f;
+ report(INFO,"EvtGen") << m << " " << EvtPDL::name(phi->getId()) << " "
+ << "vector_mass "
+ << " " << EvtPDL::getMeanMass(phi->getId()) << " fmax should be at least " << largest_f
+ << ". f_col cs_B = " << f_col << " " << cs_Born
+ << std::endl;
+ }
+ if (m%10000 == 0) {
+ report(INFO,"EvtGen") << m << " " << EvtPDL::name(phi->getId()) << " "
+ << "vector_mass "
+ << " " << EvtPDL::getMeanMass(phi->getId()) << " fmax should be at least " << largest_f
+ << ". f_col cs_B = " << f_col << " " << cs_Born
+ << std::endl;
+ }
+
+ f_col = 0.;
+ f = 0.;
+ //determine max weight for this vector particle mass
+ }
+
+ if (m > 100000){
+
+ if (fmax > 0.) report(INFO,"EvtGen") << "EvtVectorIsr is having problems. Check the fmax value - the 3rd argument in the .dec file\n"
+ << "Recommended values for various vector particles: "
+ << "phi->1.15 J/psi-psi(4415)->0.105 "
+ << "Upsilon(1S,2S,3S)->0.14\n";
+ assert(0);
+ }
+ }//while (fran > f)
+
+ }//if (firstorder)
+
+ //Compute parameters for boost to/from the system after colinear radiation
+
+ double bet_l;
+ double gam_l;
+ double betgam_l;
+
+ double csfrmn_new;
+ double csbkmn_new;
+
+ if (firstorder){
+ bet_l = 0.;
+ gam_l = 1.;
+ betgam_l = 0.;
+ csfrmn_new = csfrmn;
+ csbkmn_new = csbkmn;
+ } else {
+ double xx = e02/e01;
+ double sq_xx = sqrt(xx);
+ bet_l = (1.-xx)/(1.+xx);
+ gam_l = (1.+xx)/(2.*sq_xx);
+ betgam_l = (1.-xx)/(2.*sq_xx);
+
+ //Boost photon cos_theta limits in lab to limits in the system after colinear rad
+ csfrmn_new=(csfrmn - bet_l)/(1. - bet_l*csfrmn);
+ csbkmn_new=(csbkmn - bet_l)/(1. - bet_l*csbkmn);
+ }
+
+// //generate kinematics according to Bonneau-Martin article
+// //Nucl. Phys. B27 (1971) 381-397
+
+ // For backward compatibility with .dec files before SP5, the backward cos limit for
+ //the ISR photon is actually given as *minus* the actual limit. Sorry, this wouldn't be
+ //my choice. -Joe
+
+ //gamma momentum in the vpho restframe *after* soft colinear radiation
+ double pg = (s_new - phi->mass()*phi->mass())/(2.*wcm_new);
+
+
+ //calculate the beta of incoming electrons after colinear rad in the frame where e= and e- have equal momentum
+ double beta=electMass/ebeam; //electMass/Ebeam = 1/gamma
+ beta=sqrt(1. - beta*beta); //sqrt (1 - (1/gamma)**2)
+
+ double ymax=log((1.+beta*csfrmn_new)/(1.-beta*csfrmn_new));
+ double ymin=log((1.-beta*csbkmn_new)/(1.+beta*csbkmn_new));
+
+ // photon theta distributed as 2*beta/(1-beta**2*cos(theta)**2)
+ double y=(ymax-ymin)*EvtRandom::Flat(0.0,1.0) + ymin;
+ double cs=exp(y);
+ cs=(cs - 1.)/(cs + 1.)/beta;
+ double sn=sqrt(1-cs*cs);
+
+ double fi=EvtRandom::Flat(EvtConst::twoPi);
+
+ //four-vector for the phi
+ double phi_p0 = sqrt(phi->mass()*phi->mass()+pg*pg);
+ double phi_p3 = -pg*cs;
+
+
+ //boost back to frame before colinear radiation.
+ EvtVector4R p4phi(gam_l*phi_p0 + betgam_l*phi_p3,
+ -pg*sn*cos(fi),
+ -pg*sn*sin(fi),
+ betgam_l*phi_p0 + gam_l*phi_p3);
+
+ double isr_p0 = pg;
+ double isr_p3 = -phi_p3;
+ EvtVector4R p4gamma(gam_l*isr_p0 + betgam_l*isr_p3,
+ -p4phi.get(1),
+ -p4phi.get(2),
+ betgam_l*isr_p0 + gam_l*isr_p3);
+
+
+ //four-vectors of the collinear photons
+ if (!firstorder) {
+ p4softg1.set(0, eb-e02); p4softg1.set(3, e02-eb);
+ p4softg2.set(0, eb-e01); p4softg2.set(3, eb-e01);
+ }
+
+ //save momenta for particles
+ phi->init( getDaug(0),p4phi);
+ gamma->init( getDaug(1),p4gamma);
+
+
+ //add the two colinear photons as vphoton daughters
+ EvtPhotonParticle *softg1=new EvtPhotonParticle;;
+ EvtPhotonParticle *softg2=new EvtPhotonParticle;;
+ softg1->init(gammaId,p4softg1);
+ softg2->init(gammaId,p4softg2);
+ softg1->addDaug(p);
+ softg2->addDaug(p);
+
+ //try setting the spin density matrix of the phi
+ //get polarization vector for phi in its parents restframe.
+ EvtVector4C phi0=phi->epsParent(0);
+ EvtVector4C phi1=phi->epsParent(1);
+ EvtVector4C phi2=phi->epsParent(2);
+
+ //get polarization vector for a photon in its parents restframe.
+ EvtVector4C gamma0=gamma->epsParentPhoton(0);
+ EvtVector4C gamma1=gamma->epsParentPhoton(1);
+
+ EvtComplex r1p=phi0*gamma0;
+ EvtComplex r2p=phi1*gamma0;
+ EvtComplex r3p=phi2*gamma0;
+
+
+ EvtComplex r1m=phi0*gamma1;
+ EvtComplex r2m=phi1*gamma1;
+ EvtComplex r3m=phi2*gamma1;
+
+ EvtComplex rho33=r3p*conj(r3p)+r3m*conj(r3m);
+ EvtComplex rho22=r2p*conj(r2p)+r2m*conj(r2m);
+ EvtComplex rho11=r1p*conj(r1p)+r1m*conj(r1m);
+
+ EvtComplex rho13=r3p*conj(r1p)+r3m*conj(r1m);
+ EvtComplex rho12=r2p*conj(r1p)+r2m*conj(r1m);
+ EvtComplex rho23=r3p*conj(r2p)+r3m*conj(r2m);
+
+ EvtComplex rho31=conj(rho13);
+ EvtComplex rho32=conj(rho23);
+ EvtComplex rho21=conj(rho12);
+
+
+ EvtSpinDensity rho;
+ rho.setDim(3);
+
+ rho.set(0,0,rho11);
+ rho.set(0,1,rho12);
+ rho.set(0,2,rho13);
+ rho.set(1,0,rho21);
+ rho.set(1,1,rho22);
+ rho.set(1,2,rho23);
+ rho.set(2,0,rho31);
+ rho.set(2,1,rho32);
+ rho.set(2,2,rho33);
+
+ setDaughterSpinDensity(0);
+ phi->setSpinDensityForward(rho);
+
+ return ;
+}
+
+double EvtVectorIsr::ckhrad1(double xx, double a, double b){
+ //port of AfkQed/ckhrad.F function ckhrad1
+ double yy = xx*xx;
+ double zz = 1. - 2*xx + yy;
+ return 0.5* (1. + yy + zz/(a-1.) + 0.25*b*( -0.5*(1. + 3*yy)*log(xx)) - zz );
+}
+
+void EvtVectorIsr::ckhrad(const double& e_beam,const double& q2_min,double& e01,double& e02,double& f){
+ //port of AfkQed/ckhrad.F subroutine ckhrad
+ const double adp = 1. / 137.0359895 / EvtConst::pi;
+ const double pi2 = EvtConst::pi*EvtConst::pi;
+ // const double dme = 0.00051099906;
+ const double dme = EvtPDL::getMeanMass(EvtPDL::getId("e-"));
+
+ double r1=EvtRandom::Flat();//Generates Flat from 0 - 1
+ double r2=EvtRandom::Flat();
+
+ double sss = 4.*e_beam*e_beam;
+ double biglog = log(sss/(dme*dme));
+ double beta = 2.*adp*(biglog - 1.);
+ double betae_lab = beta;
+ double p3 = adp*(pi2/3. - 0.5);
+ double p12 = adp*adp * (11./8. - 2.*pi2/3.);
+ double coefener = 1. + 0.75*betae_lab + p3;
+ double coef1 = coefener + 0.125*pi2*beta*beta;
+ double coef2 = p12* biglog*biglog;
+ double facts = coef1 + coef2;
+
+ double y1_min = 0;
+ double e1min = 0.25 * q2_min/e_beam;
+ double y1_max = pow( 1. - e1min/e_beam, 0.5*beta );
+ double y1 = y1_min +r1 *(y1_max - y1_min);
+ e01 = e_beam *(1. - pow(y1, 2./beta) );
+
+ double y2_min = 0.;
+ double e2min = 0.25 * q2_min/e01;
+ double y2_max = pow( 1. - e2min/e_beam, 0.5*beta);
+ double y2 = y2_min +r2 *(y2_max - y2_min);
+ e02 = e_beam *(1. - pow(y2, 2./beta) );
+
+
+ double xx1 = e01/e_beam;
+ double xx2 = e02/e_beam;
+
+ f = y1_max * y2_max * ckhrad1(xx1,biglog,betae_lab) * ckhrad1(xx2,biglog,betae_lab) * facts;
+
+ return;
+ }
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVectorIsr2.hh
+//
+// Description:
+// This is a special decay model to generate e+e- -> phi gamma + soft gammas
+// using soft collinear ISR calculation from AfkQed
+// This is implemented as a decay of the VPHO.
+//
+// Modification history:
+//
+// Joe Izen Oct, 2005 Soft Colinear Photons (secondary ISR) ported from AfkQed
+// Joe Izen Dec 16, 2002 Fix cos_theta distribution - prevents boom at cos_theta=+/-1
+// RYD/Adriano June 16, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVECTORISR_HH
+#define EVTVECTORISR_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+
+class EvtVectorIsr:public EvtDecayIncoherent {
+
+public:
+
+ EvtVectorIsr() {}
+ virtual ~EvtVectorIsr();
+
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+
+ void init();
+
+ void initProbMax();
+
+ double ckhrad1(double xx, double a, double b);
+
+ void ckhrad(const double& e_beam,const double& q2_min,double& e01,double& e02,double& f);
+
+
+private:
+
+ double csfrmn,csbkmn;
+ double fmax;
+ bool firstorder;
+};
+
+#endif
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVll.cc
+//
+// Description: The decay of a vector meson to two leptons,
+// or generally, two spin 1/2 particles.
+// E.g., J/psi -> e+ e-
+//
+// Modification history:
+//
+// RYD January 17, 1997 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtVll.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+
+EvtVll::~EvtVll() {}
+
+std::string EvtVll::getName(){
+
+ return "VLL";
+
+}
+
+
+EvtDecayBase* EvtVll::clone(){
+
+ return new EvtVll;
+
+}
+
+void EvtVll::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(2);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+
+ checkSpinDaughter(0,EvtSpinType::DIRAC);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+
+}
+
+void EvtVll::initProbMax(){
+
+ setProbMax(1.0);
+
+}
+
+void EvtVll::decay(EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *l1, *l2;
+ l1 = p->getDaug(0);
+ l2 = p->getDaug(1);
+
+ EvtVector4C l11, l12, l21, l22;
+ l11=EvtLeptonVCurrent(l1->spParent(0),l2->spParent(0));
+ l12=EvtLeptonVCurrent(l1->spParent(0),l2->spParent(1));
+ l21=EvtLeptonVCurrent(l1->spParent(1),l2->spParent(0));
+ l22=EvtLeptonVCurrent(l1->spParent(1),l2->spParent(1));
+
+ EvtVector4C eps0=p->eps(0);
+ EvtVector4C eps1=p->eps(1);
+ EvtVector4C eps2=p->eps(2);
+
+ double M2=p->mass();
+ M2*=M2;
+ double m2=l1->mass();
+ m2*=m2;
+
+ double norm=1.0/sqrt(2*M2+4*m2-4*m2*m2/M2);
+
+ vertex(0,0,0,norm*(eps0*l11));
+ vertex(0,0,1,norm*(eps0*l12));
+ vertex(0,1,0,norm*(eps0*l21));
+ vertex(0,1,1,norm*(eps0*l22));
+
+ vertex(1,0,0,norm*(eps1*l11));
+ vertex(1,0,1,norm*(eps1*l12));
+ vertex(1,1,0,norm*(eps1*l21));
+ vertex(1,1,1,norm*(eps1*l22));
+
+ vertex(2,0,0,norm*(eps2*l11));
+ vertex(2,0,1,norm*(eps2*l12));
+ vertex(2,1,0,norm*(eps2*l21));
+ vertex(2,1,1,norm*(eps2*l22));
+
+ return;
+
+}
+
+
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVll.hh
+//
+// Description:
+//
+// Modification history:
+//
+// DJL/RYD August 11, 1998 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVLL_HH
+#define EVTVLL_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVll:public EvtDecayAmp {
+
+public:
+
+ EvtVll() {}
+ virtual ~EvtVll();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVll.cc
+//
+// Description: The decay of a vector meson to a scalar and a
+// lepton pair. E.g. D_s*+ -> D_s+ e+ e-
+//
+//
+// Modification history:
+//
+// RYD February 28, 2009 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include <iostream>
+#include <string>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenModels/EvtVtoSll.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+
+EvtVtoSll::~EvtVtoSll() {}
+
+std::string EvtVtoSll::getName(){
+
+ return "VTOSLL";
+
+}
+
+
+EvtDecayBase* EvtVtoSll::clone(){
+
+ return new EvtVtoSll;
+
+}
+
+void EvtVtoSll::init(){
+
+ // check that there are 0 arguments
+ checkNArg(0);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+
+ checkSpinDaughter(0,EvtSpinType::SCALAR);
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::DIRAC);
+
+}
+
+void EvtVtoSll::initProbMax(){
+
+ //setProbMax(1.0);
+
+}
+
+void EvtVtoSll::decay(EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *l1, *l2;
+ l1 = p->getDaug(1);
+ l2 = p->getDaug(2);
+
+ EvtVector4C l11, l12, l21, l22;
+ l11=EvtLeptonVCurrent(l1->spParent(0),l2->spParent(0));
+ l12=EvtLeptonVCurrent(l1->spParent(0),l2->spParent(1));
+ l21=EvtLeptonVCurrent(l1->spParent(1),l2->spParent(0));
+ l22=EvtLeptonVCurrent(l1->spParent(1),l2->spParent(1));
+
+ EvtVector4C eps0=p->eps(0);
+ EvtVector4C eps1=p->eps(1);
+ EvtVector4C eps2=p->eps(2);
+
+ EvtVector4R P=p->getP4Restframe();
+ EvtVector4R k=l1->getP4()+l2->getP4();
+ double k2=k*k;
+
+ EvtTensor4C T(dual(directProd(P,(1.0/k2)*k)));
+
+
+
+ double M2=p->mass();
+ M2*=M2;
+ double m2=l1->mass();
+ m2*=m2;
+
+ double norm=1.0/sqrt(2*M2+4*m2-4*m2*m2/M2);
+
+ vertex(0,0,0,norm*(eps0*T.cont2(l11)));
+ vertex(0,0,1,norm*(eps0*T.cont2(l12)));
+ vertex(0,1,0,norm*(eps0*T.cont2(l21)));
+ vertex(0,1,1,norm*(eps0*T.cont2(l22)));
+
+ vertex(1,0,0,norm*(eps1*T.cont2(l11)));
+ vertex(1,0,1,norm*(eps1*T.cont2(l12)));
+ vertex(1,1,0,norm*(eps1*T.cont2(l21)));
+ vertex(1,1,1,norm*(eps1*T.cont2(l22)));
+
+ vertex(2,0,0,norm*(eps2*T.cont2(l11)));
+ vertex(2,0,1,norm*(eps2*T.cont2(l12)));
+ vertex(2,1,0,norm*(eps2*T.cont2(l21)));
+ vertex(2,1,1,norm*(eps2*T.cont2(l22)));
+
+ return;
+
+}
+
+
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVtoSll.hh
+//
+// Description:
+//
+// Modification history:
+//
+// RYD Feb. 28, 2009 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVTOSLL_HH
+#define EVTVTOSLL_HH
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtVtoSll:public EvtDecayAmp {
+
+public:
+
+ EvtVtoSll() {}
+ virtual ~EvtVtoSll();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void initProbMax();
+ void init();
+ void decay(EvtParticle *p);
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVub.cc
+//
+// Description: Routine to decay a particle according th phase space
+//
+// Modification history:
+//
+// Sven Menke January 17, 2001 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVub.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtPFermi.hh"
+#include "EvtGenModels/EvtVubdGamma.hh"
+#include "EvtGenBase/EvtRandom.hh"
+using std::endl;
+
+EvtVub::~EvtVub() {
+ if (_dGamma) delete _dGamma;
+ if (_masses) delete [] _masses;
+ if (_weights) delete [] _weights;
+}
+
+std::string EvtVub::getName(){
+
+ return "VUB";
+
+}
+
+EvtDecayBase* EvtVub::clone(){
+
+ return new EvtVub;
+
+}
+
+
+void EvtVub::init(){
+
+ // check that there are at least 6 arguments
+
+ if (getNArg()<6) {
+
+ report(ERROR,"EvtGen") << "EvtVub generator expected "
+ << " at least 6 arguments (mb,a,alpha_s,Nbins,m1,w1,...) but found: "
+ <<getNArg()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+
+ _mb = getArg(0);
+ _a = getArg(1);
+ _alphas = getArg(2);
+ _nbins = abs((int)getArg(3));
+ _storeQplus = (getArg(3)<0?1:0);
+ _masses = new double[_nbins];
+ _weights = new double[_nbins];
+
+ if (getNArg()-4 != 2*_nbins) {
+ report(ERROR,"EvtGen") << "EvtVub generator expected "
+ << _nbins << " masses and weights but found: "
+ <<(getNArg()-4)/2 <<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ int i,j = 4;
+ double maxw = 0.;
+ for (i=0;i<_nbins;i++) {
+ _masses[i] = getArg(j++);
+ if (i>0 && _masses[i] <= _masses[i-1]) {
+ report(ERROR,"EvtGen") << "EvtVub generator expected "
+ << " mass bins in ascending order!"
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ _weights[i] = getArg(j++);
+ if (_weights[i] < 0) {
+ report(ERROR,"EvtGen") << "EvtVub generator expected "
+ << " weights >= 0, but found: "
+ <<_weights[i] <<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ if ( _weights[i] > maxw ) maxw = _weights[i];
+ }
+ if (maxw == 0) {
+ report(ERROR,"EvtGen") << "EvtVub generator expected at least one "
+ << " weight > 0, but found none! "
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ for (i=0;i<_nbins;i++) _weights[i]/=maxw;
+
+ // the maximum dGamma*p2 value depends on alpha_s only:
+
+ const double dGMax0 = 3.;
+ _dGMax = 0.21344+8.905*_alphas;
+ if ( _dGMax < dGMax0 ) _dGMax = dGMax0;
+
+ // for the Fermi Motion we need a B-Meson mass - but it's not critical
+ // to get an exact value; in order to stay in the phase space for
+ // B+- and B0 use the smaller mass
+
+ EvtId BP=EvtPDL::getId("B+");
+ EvtId B0=EvtPDL::getId("B0");
+
+ double mB0 = EvtPDL::getMaxMass(B0);
+ double mBP = EvtPDL::getMaxMass(BP);
+
+ double mB = (mB0<mBP?mB0:mBP);
+
+ const double xlow = -_mb;
+ const double xhigh = mB-_mb;
+ const int aSize = 10000;
+
+ EvtPFermi pFermi(_a,mB,_mb);
+ // pf is the cumulative distribution
+ // normalized to 1.
+ _pf.resize(aSize);
+ for(i=0;i<aSize;i++){
+ double kplus = xlow + (double)(i+0.5)/((double)aSize)*(xhigh-xlow);
+ if ( i== 0 )
+ _pf[i] = pFermi.getFPFermi(kplus);
+ else
+ _pf[i] = _pf[i-1] + pFermi.getFPFermi(kplus);
+ }
+ for (size_t index=0; index<_pf.size(); index++) {
+ _pf[index]/=_pf[_pf.size()-1];
+ }
+
+ // static EvtHepRandomEngine myEngine;
+
+ // _pFermi = new RandGeneral(myEngine,pf,aSize,0);
+ _dGamma = new EvtVubdGamma(_alphas);
+
+ // check that there are 3 daughters
+ checkNDaug(3);
+}
+
+void EvtVub::initProbMax(){
+
+ noProbMax();
+
+}
+
+void EvtVub::decay( EvtParticle *p ){
+
+ int j;
+ // B+ -> u-bar specflav l+ nu
+
+ EvtParticle *xuhad, *lepton, *neutrino;
+ EvtVector4R p4;
+ // R. Faccini 21/02/03
+ // move the reweighting up , before also shooting the fermi distribution
+ double x,z,p2;
+ double sh=0.0;
+ double mB,ml,xlow,xhigh,qplus;
+ double El=0.0;
+ double Eh=0.0;
+ double kplus;
+ const double lp2epsilon=-10;
+ bool rew(true);
+ while(rew){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ xuhad=p->getDaug(0);
+ lepton=p->getDaug(1);
+ neutrino=p->getDaug(2);
+
+ mB = p->mass();
+ ml = lepton->mass();
+
+ xlow = -_mb;
+ xhigh = mB-_mb;
+
+
+ // Fermi motion does not need to be computed inside the
+ // tryit loop as m_b in Gamma0 does not need to be replaced by (m_b+kplus).
+ // The difference however should be of the Order (lambda/m_b)^2 which is
+ // beyond the considered orders in the paper anyway ...
+
+ // for alpha_S = 0 and a mass cut on X_u not all values of kplus are
+ // possible. The maximum value is mB/2-_mb + sqrt(mB^2/4-_masses[0]^2)
+ kplus = 2*xhigh;
+
+ while( kplus >= xhigh || kplus <= xlow
+ || (_alphas == 0 && kplus >= mB/2-_mb
+ + sqrt(mB*mB/4-_masses[0]*_masses[0]))) {
+ kplus = findPFermi(); //_pFermi->shoot();
+ kplus = xlow + kplus*(xhigh-xlow);
+ }
+ qplus = mB-_mb-kplus;
+ if( (mB-qplus)/2.<=ml)continue;
+
+ int tryit = 1;
+ while (tryit) {
+
+ x = EvtRandom::Flat();
+ z = EvtRandom::Flat(0,2);
+ p2=EvtRandom::Flat();
+ p2 = pow(10.0,lp2epsilon*p2);
+
+ El = x*(mB-qplus)/2;
+ if ( El > ml && El < mB/2) {
+
+ Eh = z*(mB-qplus)/2+qplus;
+ if ( Eh > 0 && Eh < mB ) {
+
+ sh = p2*pow(mB-qplus,2)+2*qplus*(Eh-qplus)+qplus*qplus;
+ if ( sh > _masses[0]*_masses[0]
+ && mB*mB + sh - 2*mB*Eh > ml*ml) {
+
+ double xran = EvtRandom::Flat();
+
+ double y = _dGamma->getdGdxdzdp(x,z,p2)/_dGMax*p2;
+
+ if ( y > 1 ) report(WARNING,"EvtGen")<<"EvtVub decay probability > 1 found: " << y << endl;
+ if ( y >= xran ) tryit = 0;
+ }
+ }
+ }
+ }
+ // reweight the Mx distribution
+ if(_nbins>0){
+ double xran1 = EvtRandom::Flat();
+ double m = sqrt(sh);j=0;
+ while ( j < _nbins && m > _masses[j] ) j++;
+ double w = _weights[j-1];
+ if ( w >= xran1 ) rew = false;
+ } else {
+ rew = false;
+ }
+
+ }
+
+ // o.k. we have the three kineamtic variables
+ // now calculate a flat cos Theta_H [-1,1] distribution of the
+ // hadron flight direction w.r.t the B flight direction
+ // because the B is a scalar and should decay isotropic.
+ // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
+ // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
+ // W flight direction.
+
+ double ctH = EvtRandom::Flat(-1,1);
+ double phH = EvtRandom::Flat(0,2*EvtConst::pi);
+ double phL = EvtRandom::Flat(0,2*EvtConst::pi);
+
+ // now compute the four vectors in the B Meson restframe
+
+ double ptmp,sttmp;
+ // calculate the hadron 4 vector in the B Meson restframe
+
+ sttmp = sqrt(1-ctH*ctH);
+ ptmp = sqrt(Eh*Eh-sh);
+ double pHB[4] = {Eh,ptmp*sttmp*cos(phH),ptmp*sttmp*sin(phH),ptmp*ctH};
+ p4.set(pHB[0],pHB[1],pHB[2],pHB[3]);
+ xuhad->init( getDaug(0), p4);
+
+ if (_storeQplus ) {
+ // cludge to store the hidden parameter q+ with the decay;
+ // the lifetime of the Xu is abused for this purpose.
+ // tau = 1 ps corresponds to ctau = 0.3 mm -> in order to
+ // stay well below BaBars sensitivity we take q+/(10000 GeV) which
+ // goes up to 0.0005 in the most extreme cases as ctau in mm.
+ // To extract q+ back from the StdHepTrk its necessary to get
+ // delta_ctau = Xu->anyDaughter->getVertexTime()-Xu->getVertexTime()
+ // where these pseudo calls refere to the StdHep time stored at
+ // the production vertex in the lab for each particle. The boost
+ // has to be reversed and the result is:
+ //
+ // q+ = delta_ctau * 10000 GeV/mm * Mass_Xu/Energy_Xu
+ //
+ xuhad->setLifetime(qplus/10000.);
+ }
+
+ // calculate the W 4 vector in the B Meson restrframe
+
+ double apWB = ptmp;
+ double pWB[4] = {mB-Eh,-pHB[1],-pHB[2],-pHB[3]};
+
+ // first go in the W restframe and calculate the lepton and
+ // the neutrino in the W frame
+
+ double mW2 = mB*mB + sh - 2*mB*Eh;
+ double beta = ptmp/pWB[0];
+ double gamma = pWB[0]/sqrt(mW2);
+
+ double pLW[4];
+
+ ptmp = (mW2-ml*ml)/2/sqrt(mW2);
+ pLW[0] = sqrt(ml*ml + ptmp*ptmp);
+
+ double ctL = (El - gamma*pLW[0])/beta/gamma/ptmp;
+ if ( ctL < -1 ) ctL = -1;
+ if ( ctL > 1 ) ctL = 1;
+ sttmp = sqrt(1-ctL*ctL);
+
+ // eX' = eZ x eW
+ double xW[3] = {-pWB[2],pWB[1],0};
+ // eZ' = eW
+ double zW[3] = {pWB[1]/apWB,pWB[2]/apWB,pWB[3]/apWB};
+
+ double lx = sqrt(xW[0]*xW[0]+xW[1]*xW[1]);
+ for (j=0;j<2;j++)
+ xW[j] /= lx;
+
+ // eY' = eZ' x eX'
+ double yW[3] = {-pWB[1]*pWB[3],-pWB[2]*pWB[3],pWB[1]*pWB[1]+pWB[2]*pWB[2]};
+ double ly = sqrt(yW[0]*yW[0]+yW[1]*yW[1]+yW[2]*yW[2]);
+ for (j=0;j<3;j++)
+ yW[j] /= ly;
+
+ // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
+ // + sin(Theta) * sin(Phi) * eY'
+ // + cos(Theta) * eZ')
+ for (j=0;j<3;j++)
+ pLW[j+1] = sttmp*cos(phL)*ptmp*xW[j]
+ + sttmp*sin(phL)*ptmp*yW[j]
+ + ctL *ptmp*zW[j];
+
+ double apLW = ptmp;
+
+ // boost them back in the B Meson restframe
+ double appLB = beta*gamma*pLW[0] + gamma*ctL*apLW;
+
+ ptmp = sqrt(El*El-ml*ml);
+ double ctLL = appLB/ptmp;
+
+ if ( ctLL > 1 ) ctLL = 1;
+ if ( ctLL < -1 ) ctLL = -1;
+
+ double pLB[4] = {El,0,0,0};
+ double pNB[4] = {pWB[0]-El,0,0,0};
+
+ for (j=1;j<4;j++) {
+ pLB[j] = pLW[j] + (ctLL*ptmp - ctL*apLW)/apWB*pWB[j];
+ pNB[j] = pWB[j] - pLB[j];
+ }
+
+ p4.set(pLB[0],pLB[1],pLB[2],pLB[3]);
+ lepton->init( getDaug(1), p4);
+
+ p4.set(pNB[0],pNB[1],pNB[2],pNB[3]);
+ neutrino->init( getDaug(2), p4);
+
+ return ;
+}
+
+
+double EvtVub::findPFermi() {
+
+ double ranNum=EvtRandom::Flat();
+ double oOverBins= 1.0/(float(_pf.size()));
+ int nBinsBelow = 0; // largest k such that I[k] is known to be <= rand
+ int nBinsAbove = _pf.size(); // largest k such that I[k] is known to be > rand
+ int middle;
+
+ while (nBinsAbove > nBinsBelow+1) {
+ middle = (nBinsAbove + nBinsBelow+1)>>1;
+ if (ranNum >= _pf[middle]) {
+ nBinsBelow = middle;
+ } else {
+ nBinsAbove = middle;
+ }
+ }
+
+ double bSize = _pf[nBinsAbove] - _pf[nBinsBelow];
+ // binMeasure is always aProbFunc[nBinsBelow],
+
+ if ( bSize == 0 ) {
+ // rand lies right in a bin of measure 0. Simply return the center
+ // of the range of that bin. (Any value between k/N and (k+1)/N is
+ // equally good, in this rare case.)
+ return (nBinsBelow + .5) * oOverBins;
+ }
+
+ double bFract = (ranNum - _pf[nBinsBelow]) / bSize;
+
+ return (nBinsBelow + bFract) * oOverBins;
+
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVub.hh
+//
+// Description:
+// Class to generate inclusive B to X_u l nu decays according to various
+// decay models. Implemtented are ACCM, parton-model and a QCD model.
+//
+// Modification history:
+//
+// Sven Menke January 17, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVUB_HH
+#define EVTVUB_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+#include <vector>
+
+class EvtParticle;
+class EvtVubdGamma;
+
+class EvtVub:public EvtDecayIncoherent {
+
+public:
+
+ EvtVub() : _masses(0) , _weights(0) , _dGamma(0) {}
+ virtual ~EvtVub();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+private:
+
+ double _mb; // the b-quark pole mass in GeV (try 4.65 to 4.9)
+ double _a; // Parameter for the Fermi Motion (1.29 is good)
+ double _alphas; // Strong Coupling at m_b (around 0.24)
+ double _dGMax; // max dGamma*p2 value;
+ int _nbins;
+ int _storeQplus;
+ double * _masses;
+ double * _weights;
+
+ EvtVubdGamma *_dGamma; // calculates the decay rate
+ double findPFermi();
+ std::vector<double> _pf;
+};
+
+#endif
+
--- /dev/null
+
+//////////////////////////////////////////////////////////////////////
+//
+// Module: EvtVubAC.cc
+// Analytic Coupling Model (based on hep-ph/0608047 by Aglietti, Ferrera and Ricciardi)
+// Author: Michael Sigamani May 2008
+//
+///////////////////////////////////////////////////////////////
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVubAC.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtPFermi.hh"
+#include "EvtGenBase/EvtRandom.hh"
+
+using std::cout;
+using std::endl;
+
+EvtVubAC::~EvtVubAC() {
+}
+
+std::string EvtVubAC::getName(){
+ return "VUB_AC";
+}
+
+ EvtDecayBase *EvtVubAC::clone() {
+ return new EvtVubAC;
+}
+
+void EvtVubAC::init() {
+
+ // get parameters (declared in the header file)
+
+ // B Meson mass
+ mB = 5.2792;
+
+ // Perturbative quantities
+ CF = 4.0/3.0;
+ CA = 3.0;
+ double nf = 3.0;
+
+ //Constants
+ alphaSmZ = getArg(0);
+ c = 0.04;
+ q = 0.01;
+ k = 0.02;
+
+ beta0 = (11.0/3.0*CA - 2.0/3.0*nf)/(4*M_PI);
+ alphaSmB = 0.22*alphaSmZ/0.1189;
+
+ gvars.push_back(0.0); // 0
+ gvars.push_back(0.0); // 1
+ gvars.push_back(0.0); // 2
+ gvars.push_back(alphaSmB); // 3
+ gvars.push_back(alphaSmZ); // 4
+ gvars.push_back(mB); // 5
+ gvars.push_back(beta0); // 6
+ gvars.push_back(c); // 7
+ gvars.push_back(q); // 8
+ gvars.push_back(k); // 9
+
+ // check that there are 3 daughters and 1 argument
+ checkNDaug(3);
+ checkNArg(1);
+
+}
+
+void EvtVubAC::initProbMax() {
+ noProbMax();
+}
+
+void EvtVubAC::decay(EvtParticle *Bmeson) {
+
+ int j;
+
+ EvtParticle *xuhad, *lepton, *neutrino;
+ EvtVector4R p4;
+ double u, w, xb, Pp, Pm, pdf, ml, PX(0.0), EX(0.0), sh(0.0), El(0.0) ;
+
+ Bmeson->initializePhaseSpace(getNDaug(), getDaugs());
+
+ xuhad = Bmeson->getDaug(0);
+ lepton = Bmeson->getDaug(1);
+ neutrino = Bmeson ->getDaug(2);
+
+ ml = lepton->mass();
+
+ bool tryit = true;
+ while (tryit) {
+
+ double mpi = 0.14;
+ u = EvtRandom::Flat(0.0,1.0);
+ w = EvtRandom::Flat(0.0,2.0);
+ xb = EvtRandom::Flat(0.0,1.0);
+
+ EX = w*mB/2.0;
+ PX = EX*(1.0-u)/(u+1.0);
+ El = (1.0-xb)*mB/2.0;
+ Pp = (EX-PX);
+ Pm = (EX+PX);
+ sh = Pm*Pp;
+
+ if ( ((w*u)/(1.0+u) < xb) && (xb < w/(1.0+u)) && (max(0, w - 1.0) < u) && (sh > 4.0*mpi*mpi) && ( El > ml ) ){
+
+ pdf = rate(u,w,xb);
+ double testRan = EvtRandom::Flat(0.0,24.2);
+ if (pdf >= testRan) tryit = false;
+ }
+
+ }
+
+ // o.k. we have the three kinemtic variables
+ // now calculate a flat cos Theta_H [-1,1] distribution of the
+ // hadron flight direction w.r.t the B flight direction
+ // because the B is a scalar and should decay isotropic.
+ // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
+ // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
+ // W flight direction.
+
+ double ctH = EvtRandom::Flat(-1,1);
+ double phH = EvtRandom::Flat(0,2*M_PI);
+ double phL = EvtRandom::Flat(0,2*M_PI);
+
+ // now compute the four vectors in the B Meson restframe
+
+ double ptmp,sttmp;
+ // calculate the hadron 4 vector in the B Meson restframe
+
+ sttmp = sqrt(1-ctH*ctH);
+ ptmp = sqrt(EX*EX-sh);
+ double pHB[4] = {EX,ptmp*sttmp*cos(phH),ptmp*sttmp*sin(phH),ptmp*ctH};
+ p4.set(pHB[0],pHB[1],pHB[2],pHB[3]);
+ xuhad->init( getDaug(0), p4);
+
+ // calculate the W 4 vector in the B Meson restrframe
+
+ double apWB = ptmp;
+ double pWB[4] = {mB-EX,-pHB[1],-pHB[2],-pHB[3]};
+
+ // first go in the W restframe and calculate the lepton and
+ // the neutrino in the W frame
+
+ double mW2 = mB*mB + sh - 2*mB*EX;
+ double beta = ptmp/pWB[0];
+ double gamma = pWB[0]/sqrt(mW2);
+
+ double pLW[4];
+
+ ptmp = (mW2-ml*ml)/2/sqrt(mW2);
+ pLW[0] = sqrt(ml*ml + ptmp*ptmp);
+
+ double ctL = (El - gamma*pLW[0])/beta/gamma/ptmp;
+ if ( ctL < -1 ) ctL = -1;
+ if ( ctL > 1 ) ctL = 1;
+ sttmp = sqrt(1-ctL*ctL);
+
+ // eX' = eZ x eW
+ double xW[3] = {-pWB[2],pWB[1],0};
+ // eZ' = eW
+ double zW[3] = {pWB[1]/apWB,pWB[2]/apWB,pWB[3]/apWB};
+
+ double lx = sqrt(xW[0]*xW[0]+xW[1]*xW[1]);
+ for (j=0;j<2;j++)
+ xW[j] /= lx;
+
+ // eY' = eZ' x eX'
+ double yW[3] = {-pWB[1]*pWB[3],-pWB[2]*pWB[3],pWB[1]*pWB[1]+pWB[2]*pWB[2]};
+ double ly = sqrt(yW[0]*yW[0]+yW[1]*yW[1]+yW[2]*yW[2]);
+ for (j=0;j<3;j++)
+ yW[j] /= ly;
+
+ // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
+ // + sin(Theta) * sin(Phi) * eY'
+ // + cos(Theta) * eZ')
+ for (j=0;j<3;j++)
+ pLW[j+1] = sttmp*cos(phL)*ptmp*xW[j]
+ + sttmp*sin(phL)*ptmp*yW[j]
+ + ctL *ptmp*zW[j];
+
+ double apLW = ptmp;
+
+ // boost them back in the B Meson restframe
+
+ double appLB = beta*gamma*pLW[0] + gamma*ctL*apLW;
+
+ ptmp = sqrt(El*El-ml*ml);
+ double ctLL = appLB/ptmp;
+
+ if ( ctLL > 1 ) ctLL = 1;
+ if ( ctLL < -1 ) ctLL = -1;
+
+ double pLB[4] = {El,0,0,0};
+ double pNB[4] = {pWB[0]-El,0,0,0};
+
+ for (j=1;j<4;j++) {
+ pLB[j] = pLW[j] + (ctLL*ptmp - ctL*apLW)/apWB*pWB[j];
+ pNB[j] = pWB[j] - pLB[j];
+ }
+
+ p4.set(pLB[0],pLB[1],pLB[2],pLB[3]);
+ lepton->init( getDaug(1), p4);
+
+ p4.set(pNB[0],pNB[1],pNB[2],pNB[3]);
+ neutrino->init( getDaug(2), p4);
+
+ return ;
+
+}
+
+double EvtVubAC::rate(double u, double w, double xb) {
+std::vector<double> vars(11);
+vars[0] = u;
+vars[1] = w;
+vars[2] = xb;
+double dGam = Coeff(u,w,xb)*Sigma(wreg(w/(1+u)),ularge(u)) + d(u,w,xb);
+
+return dGam;
+}
+
+double EvtVubAC::PolyLog(double v, double z) {
+
+if (z >= 1) cout << "Error in EvtVubAC: 2nd argument to PolyLog is >= 1." << endl;
+
+double sum = 0.0;
+for (int k=1; k<101; k++) {
+sum = sum + pow(z,k)/pow(k,v);
+}
+return sum;
+}
+
+double EvtVubAC::max(double ub, double lb) {
+if (ub > lb)
+return ub;
+else
+return lb;
+}
+
+double EvtVubAC::wreg(double w) {
+std::vector<double> vars(11);
+vars[1] = w;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+double K=(1+c)/(1+c+pow(c,2));
+return K*(c+pow(w,2)/(w+c));
+}
+
+double EvtVubAC::ureg(double u) {
+std::vector<double> vars(11);
+vars[0] = u;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+return q + u*u/(u+q);
+}
+
+double EvtVubAC::ularge(double u) {
+std::vector<double> vars(11);
+vars[0] = u;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+return u - k*u*u;
+}
+
+double EvtVubAC::alphaS(double Q) {
+std::vector<double> vars(11);
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+
+double a =1.0/(log(Q*Q/FindRoot(alphaSmZ)));
+double b= FindRoot(alphaSmZ)/(FindRoot(alphaSmZ) - Q*Q);
+double ans = 1.0/beta0*( a + b );
+
+return ans;
+}
+
+double EvtVubAC::Coeff(double u, double w, double xb) {
+std::vector<double> vars(11);
+vars[0] = u;
+vars[1] = w;
+vars[2] = xb;
+
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+
+double coeff = Coeff0(w,xb) + alphaS(mB*wreg(w/(1+u)))*Coeff1(w,xb);
+return coeff;
+}
+
+double EvtVubAC::Coeff0(double w, double xb) {
+std::vector<double> vars(11);
+vars[1] = w;
+vars[2] = xb;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+return 12.0*(1+xb-w)*(w-xb);
+}
+
+double EvtVubAC::Coeff1(double w, double xb) {
+std::vector<double> vars(11);
+vars[1] = w;
+vars[2] = xb;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+double a = 1+xb-w;
+double b = -PolyLog(2,1-w)-3.0/2.0*log(wreg(w)) - 1.0/2.0*w*f(w) - 35.0/8.0 + (M_PI*M_PI)/6.0;
+double c = 1.0/2.0*xb*f(wreg(w));
+
+double ans = 12.0*CF/M_PI*(w-xb)*((a*b)+c);
+
+return ans;
+}
+
+double EvtVubAC::d(double u, double w, double xb) {
+std::vector<double> vars(11);
+vars[0] = u;
+vars[1] = w;
+vars[2] = xb;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+
+return alphaS(mB*wreg(w/(1.0+u)))*CF/M_PI*d1(u,w,xb);
+
+}
+
+double EvtVubAC::d1(double u, double w, double xb) {
+std::vector<double> vars(11);
+vars[0] = u;
+vars[1] = w;
+vars[2] = xb;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+
+double a = 3*pow(w,4)*(24+3*w-8*xb)/(4*pow(1+u,5));
+double b = 9*pow(w,4)*(24+3*w-8*xb)/(8*pow(1+u,4));
+double c = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)/(16*pow(1-u,3));
+double cc = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)/(32*pow(1-u,2));
+double d = 3*pow(w,2)*(32-47*w-8*w*w+16*xb+20*w*xb+w*w*xb+8*xb*xb-3*w*xb*xb)/(8*pow(1+u,2));
+double e = 1/(8*pow(1+u,3))*(3*w*w*(-64+94*w+40*w*w+3*pow(w,3)-32*xb-40*xb*w-10*w*w*xb-16*xb*xb+6*w*xb*xb));
+double f = 1/(64*(1+u))*(3*(640*w-368*w*w-200*w*w*w-16*pow(w,4)+3*pow(w,5)-384*xb+320*w*xb+528*w*w*xb+112*pow(w,3)*xb-16*pow(w,4)*xb-256*xb*xb-48*w*xb*xb-224*pow(w,2)*pow(xb,2)+24*pow(w,3)*pow(xb,2)));
+double g = 1/(64*(1-u))*(3*(-256*w+528*w*w-200*pow(w,3)-16*pow(w,4)+3*pow(w,5)+512*xb-1472*w*xb+528*pow(w,2)*xb+112*pow(w,3)*xb-16*pow(w,4)*xb+640*xb*xb-48*w*xb*xb-224*pow(w,2)*pow(xb,2)+24*pow(w,3)*pow(xb,2)));
+double h = 9*pow(w,5)*log(ureg(u))/(4*pow(1+u,6));
+double i = 9*pow(w,5)*log(ureg(u))/(2*pow(1+u,5));
+double ii = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)*log(ureg(u))/(16*pow(1-u,4));
+double j = 9*(-12+w)*pow(-2+w,2)*pow(w-2*xb,2)*log(ureg(u))/(16*pow(1-u,3));
+double k = (3*pow(w,3)*(-10+16*w+pow(w,2)+8*xb-2*w*xb-2*pow(xb,2))*log(ureg(u)))/(8*pow(1+u,3));
+double l = (3*pow(w,3)*(-10+16*w+7*pow(w,2)+8*xb-2*w*xb-2*pow(xb,2))*log(ureg(u)))/(8*pow(1+u,4));
+double m = 1/(64*pow(1+u,2))*(3*w*(-144*w+208*pow(w,2)+16*pow(w,3)+pow(w,4)-64*xb-80*w*xb-16*pow(w,2)*xb-8*pow(w,3)*xb+48*xb*xb-96*w*xb*xb+16*pow(w,2)*pow(xb,2))*log(ureg(u)));
+double n = 1/(64*pow(1-u,2))*(3*(-256*w+624*pow(w,2)-304*pow(w,3)+16*pow(w,4)+pow(w,5)+512*xb-1856*w*xb+944*pow(w,2)*xb-16*pow(w,3)*xb-8*pow(w,4)*xb+1024*xb*xb-464*w*xb*xb-96*pow(w,2)*pow(xb,2)+16*pow(w,3)*pow(xb,2))*log(ureg(u)));
+
+double rem = -a + b - c +cc - d - e + f + g - h +i -ii +j +k -l -m +n;
+
+return rem;
+}
+
+double EvtVubAC::f(double w) {
+std::vector<double> vars(11);
+vars[1] = w;
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+ if (w != 1)
+ return log(w)/(1-w);
+ else
+ return -1;
+}
+
+double EvtVubAC::Lambda2(double x, const double alphaSmZ) {
+std::vector<double> vars(11);
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+double alphaSmB = 0.22*alphaSmZ/0.1189;
+double func = (1/beta0)*(1/log(mB*mB/x)+x/(x-mB*mB))-alphaSmB;
+return func;
+}
+
+double EvtVubAC::FindRoot(const double alphaSmZ){
+std::vector<double> vars(11);
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+ double root;
+ const double precision=1e-8;
+ Bisect(0.0,1.0, precision, root, alphaSmZ);
+return root;
+}
+
+int EvtVubAC::Bisect(double x1,double x2, double precision,double& root, const double alphaSmZ){
+std::vector<double> vars(11);
+
+for (int j=3;j<11;j++) {vars[j] = gvars[j];}
+
+ if( Lambda2(x1,alphaSmZ)*Lambda2(x2,alphaSmZ) > 0 ){
+ root = 0;
+ return 0;
+
+ } else {
+
+ double x = 0.5*(x1+x2);
+
+ if( fabs(Lambda2(x,alphaSmZ)) < precision){
+ root = x;
+ return 1;
+ } else {
+
+ if( Lambda2(x1,alphaSmZ)*Lambda2(x,alphaSmZ) < 0 ){
+ return Bisect(x1,x,precision,root,alphaSmZ);
+
+ } else {
+ return Bisect(x,x2,precision,root, alphaSmZ);
+
+ }
+ }
+ }
+}
+
+//Bi-Linear interpolation function for sigma()
+
+double EvtVubAC::Sigma(double x1, double x2){
+double ans;
+int j = 0;
+int k = 0;
+int JMAX = 20;
+int KMAX = 6282;
+
+ if (x1 < 0.04 | x1 > 1.0 | x2 > 0.9981306360766614) {
+
+ cout<<"Input variables are not in range"<<endl;
+ return 0;
+ }
+
+ else{
+
+
+double sigma[6283][21] = {{1.4165575231667025e-6,2.367068423885654e-6,3.010516455581869e-6,3.5037825936986625e-6,3.929518324374288e-6,4.306057170491293e-6,4.670305737607004e-6,5.03601978363166e-6,5.38081382734055e-6,5.706111094422232e-6,6.01592741932564e-6,6.312683745642994e-6,6.599149887344445e-6,6.876589598409881e-6,7.146140172115845e-6,7.408228896739411e-6,7.66381903520912e-6,7.914216132923142e-6,8.158375083092094e-6,8.387923687779773e-6,8.609047991600152e-6},
+{1.4242950283096505e-6,2.3821813865451333e-6,3.0321094979724177e-6,3.531463105585163e-6,3.963281819193405e-6,4.345928764350666e-6,4.716578534159503e-6,5.0891092458471885e-6,5.440882358124266e-6,5.773300334146699e-6,6.090393611799158e-6,6.394582544259559e-6,6.6886559040585555e-6,6.973876196346317e-6,7.251379536127028e-6,7.521582534359883e-6,7.78545760383978e-6,8.044322886507219e-6,8.297093782815202e-6,8.535252273580483e-6,8.76506526572483e-6},
+{1.432085473265309e-6,2.397426211753438e-6,3.053927960769999e-6,3.559478172452427e-6,3.997507657500483e-6,4.386409405362107e-6,4.763630567689123e-6,5.143175144213434e-6,5.5021483329791995e-6,5.841932217571044e-6,6.166572855026258e-6,6.478490721190443e-6,6.780495077370961e-6,7.073848449513044e-6,7.359687275376904e-6,7.638419489154442e-6,7.911031108690893e-6,8.178859267303823e-6,8.440787940213002e-6,8.688163613340468e-6,8.92736042107122e-6},
+{1.439929354714352e-6,2.41280463514272e-6,3.0759756040991857e-6,3.5878345116181944e-6,4.0322066625519e-6,4.427515357355928e-6,4.811485212210924e-6,5.198250042510372e-6,5.564655974117598e-6,5.912066071547593e-6,6.244545266975116e-6,6.5645198876533405e-6,6.874832084123841e-6,7.176767831207023e-6,7.471508054632459e-6,7.759532156090581e-6,8.04198240629201e-6,8.32045326864888e-6,8.594180689511984e-6,8.854977185824032e-6,9.110250789357704e-6},
+{1.4478271762507601e-6,2.4283184286282795e-6,3.098256291022933e-6,3.6165390675423683e-6,4.067390102434151e-6,4.469263755477156e-6,4.860167832347213e-6,5.254372135627978e-6,5.6284672051347425e-6,5.9838160854326365e-6,6.3245497730126735e-6,6.653205576198729e-6,6.972878946209313e-6,7.285309002010701e-6,7.592510371689441e-6,7.896411617922357e-6,8.20063859130551e-6,8.510772078503667e-6,8.832168193219429e-6,9.165813151304237e-6,9.53285861473224e-6},
+{1.4557794485384492e-6,2.4439694016732532e-6,3.1207739929456703e-6,3.6455990425662466e-6,4.103069949395984e-6,4.511674486770287e-6,4.9097162595434805e-6,5.31163173249103e-6,5.693833505594434e-6,6.057899920792941e-6,6.40853743177932e-6,6.749486714584406e-6,7.086268724196642e-6,7.425114172566452e-6,7.775933736046638e-6,8.153858881648055e-6,8.583979262125893e-6,9.104919794810385e-6,9.771190049418475e-6,0.000010655316056335114,0.000011879449548606903},
+{1.4637866894434715e-6,2.4597594026488963e-6,3.1435328023270215e-6,3.675022094200968e-6,4.139261015606768e-6,4.554785482753721e-6,4.960261093796092e-6,5.370505023603311e-6,5.762353786846746e-6,6.139117526304596e-6,6.509469970691759e-6,6.885255799616473e-6,7.287458092501649e-6,7.749887299160317e-6,8.32885760857551e-6,9.113946680584014e-6,0.000010246567374771375,0.000011937444274020002,0.000014487810062278417,0.000018317257226721972,0.000024019460747614908},
+{1.4718494242154426e-6,2.47569032092263e-6,3.1665369954244623e-6,3.704817540595162e-6,4.1759933558943466e-6,4.598735271412134e-6,5.0124291131193585e-6,5.433421718923075e-6,5.842081003357196e-6,6.25081174384318e-6,6.687863486666798e-6,7.203370086561662e-6,7.888130624783698e-6,8.895491964923852e-6,0.000010474854356656637,0.000013013790895360114,0.000017103162658690718,0.000023594388998758814,0.000033675540649204326,0.0000489743631710715,0.00007167123447469805},
+{1.4799681856124983e-6,2.4917640930821483e-6,3.189791331459303e-6,3.7350018542235523e-6,4.213364439714587e-6,4.6440845681077435e-6,5.068808179491631e-6,5.510100074518286e-6,5.963880470002839e-6,6.478624017039391e-6,7.15653839638677e-6,8.186319369076682e-6,9.901211792269553e-6,0.00001285388168746797,0.00001791473813352924,0.000026395814832379054,0.00004023796628984912,0.00006215097225704537,0.00009581181745663649,0.00014613963204180726,0.00021950361737713158},
+{1.4881435141358186e-6,2.5079827251928324e-6,3.2133022065365606e-6,3.7656181018241744e-6,4.251709132603763e-6,4.692789471300035e-6,5.138092460064064e-6,5.631736014247149e-6,6.222486583756952e-6,7.074460431913035e-6,8.516847254554029e-6,0.000011146675936698287,0.00001598487036709448,0.000024676371711528723,0.00003973100609228614,0.00006482027286305135,0.00010522951047594253,0.00016812223653460108,0.0002629574390857122,0.0004020922351741092,0.0006010848384153264},
+{1.4963759583151903e-6,2.5243483687339437e-6,3.237081297203293e-6,3.7967920233725075e-6,4.292052792747759e-6,4.750619410688871e-6,5.244743138386107e-6,5.882169800577362e-6,6.861806219944362e-6,8.661389866449539e-6,0.000012201247096758813,0.000019102025579797836,0.00003204800713762135,0.00005523761951074777,0.00009488701985136956,0.00015983464774662793,0.0002624903756946114,0.0004192081140389302,0.0006510290476882939,0.0009848304741404048,0.001453606151783205},
+{1.5046660751362809e-6,2.5408635441916518e-6,3.2611553025151935e-6,3.828869434733319e-6,4.337140997577745e-6,4.832296391723187e-6,5.448304652803628e-6,6.456759953337761e-6,8.427640167753178e-6,0.000012582140894959107,0.000021189631492341075,0.00003812415991730859,0.00006961051442979106,0.00012511009513628465,0.0002182386548602159,0.00036784253513290593,0.0005997802091285906,0.0009472266290232328,0.001451824037624317,0.002165658547709524,0.003151169272603568},
+{1.513014431349342e-6,2.5575317180811684e-6,3.285588677838592e-6,3.862711264004167e-6,4.393497785977758e-6,4.971131108182325e-6,5.877560126916229e-6,7.760928857782783e-6,0.000012010321954462888,0.000021425611998560057,0.00004103962752813721,0.00007918737669843748,0.00014888249214427865,0.00026937365623495315,0.0004676234374684211,0.0007800133940380605,0.0012554029868658135,0.001954878490320336,0.002953326775520852,0.004342592761282795,0.006230305880813369},
+{1.5214216061560787e-6,2.5743586303033982e-6,3.3105310719671444e-6,3.900262214432865e-6,4.475130527383932e-6,5.235335812545794e-6,6.785170800407953e-6,0.000010559617886456428,0.00001959432925507232,0.00003974849574067812,0.00008123032330758901,0.00016046128193448512,0.00030239231008775475,0.0005429844586595434,0.0009313282559741494,0.0015320746067456524,0.002430327191761932,0.0037298539621533943,0.005555001710404613,0.008055488664119443,0.01140294234277542},
+{1.5298881979199149e-6,2.5913550650337333e-6,3.3363075201731546e-6,3.945553070358598e-6,4.609645375882153e-6,5.7534035948277485e-6,8.6281322961162e-6,0.00001618613002467588,0.000034522566143361974,0.00007498638814380939,0.0001567741933120429,0.0003099190887628005,0.0005788872417090989,0.0010261999496239762,0.0017351191486051154,0.0028127793397316565,0.00439758309482629,0.006654203181386234,0.009775650207394033,0.01399031690947417,0.019554413524984018},
+{1.5384148382146062e-6,2.6085421793093757e-6,3.363577051101362e-6,4.006339805182163e-6,4.847635588501795e-6,6.750895084216383e-6,0.000012178274838076293,0.000026814440475319445,0.00006207145889058571,0.00013852515797848467,0.0002900125142959978,0.0005680779911740601,0.0010471718093499022,0.0018295202476562482,0.003048049240517677,0.004870014942795054,0.007507693594407426,0.011207634535357707,0.016252610920484533,0.02297179206027768,0.031726572263536444},
+{1.5470022202746443e-6,2.625961058099045e-6,3.393593730788004e-6,4.096619277841392e-6,5.276235380016173e-6,8.600649651365437e-6,0.00001866526609039772,0.00004579370650498204,0.00011012121621194627,0.0002468829467558532,0.0005124817585587294,0.0009906612725140323,0.0017995423134806174,0.003097653379464161,0.005086410631528326,0.008013830177211499,0.012189442172874584,0.017964254744995103,0.025732289616612326,0.0359451506759231,0.049088007204468306},
+{1.5556511529974288e-6,2.6436888489316735e-6,3.428612625232792e-6,4.240286293950054e-6,6.037684078780381e-6,0.00001188786644943293,0.000029952375228572037,0.0000780381800097773,0.0001898952986365243,0.0004229387305311314,0.0008667252713783584,0.0016509728967638818,0.0029545141743473613,0.005012119898817954,0.008115414359872444,0.012616030573221951,0.018945843767181895,0.027583041317612942,0.03905299426271493,0.053949040565240185,0.07289464072278114},
+{1.5643626575619947e-6,2.661864627406368e-6,3.472490974068608e-6,4.476206333080683e-6,7.353619437601509e-6,0.0000174907416164655,0.000048742896083762044,0.0001304607158223583,0.00031673552439171794,0.0006971361661801552,0.0014079258419505507,0.0026417999567848118,0.004658608360065678,0.007792253539476956,0.012448421899341575,0.019106349412464467,0.028345669898428426,0.040792937698607125,0.05712172284835164,0.07808215030146379,0.10444452670068657},
+{1.5731381324804837e-6,2.6807290253159536e-6,3.531541305119222e-6,4.8649702111799365e-6,9.555624553184329e-6,0.000026676480446206257,0.00007881286473782216,0.00021243409469498412,0.0005108749161733128,0.0011085914132178266,0.00220524825673807,0.004076699453691786,0.007087049343137447,0.011694503122693831,0.018443774719382196,0.027965500589675465,0.04101123894422824,0.05837384431341115,0.08088689418191775,0.10946642015864853,0.14503063237367791},
+{1.5819796233174533e-6,2.7006825788205983e-6,3.615697665826625e-6,5.497571021125409e-6,0.00001312230620976001,0.00004121161014650627,0.0001252637547419822,0.000336261747196805,0.0007981694308872648,0.0017060397687879017,0.003342803139736269,0.006090575798958407,0.010443316278806748,0.017010077375662024,0.026499451431750184,0.03971563580682796,0.05760340210312129,0.08113495270602172,0.11130907157712167,0.1492095346815254,0.19589494697472482},
+{1.5908902467656185e-6,2.7223686756563747e-6,3.7400581318526452e-6,6.506201216066848e-6,0.000018722903529551973,0.00006348467562846283,0.00019478733818076391,0.0005176382740173991,0.001210751772414234,0.0025485667487520126,0.004920170614283094,0.008839507283719138,0.01495757117327545,0.024061086223362955,0.037045913731879855,0.054908857746228355,0.0788047458184871,0.1098918705586729,0.14933157753069337,0.19836902191140696,0.25818658760673646},
+{1.5998748349206745e-6,2.7467878521353687e-6,3.9268660021259425e-6,8.077311274611309e-6,0.000027267135497694697,0.00009663866887322153,0.0002959339418981737,0.0007760803428767021,0.0017875749703394415,0.0037060829882311153,0.007052451153447449,0.012499828175607113,0.020884056084937964,0.03319541365801124,0.050537581282805076,0.07411449109468546,0.10530201609807366,0.14544385913470914,0.19585260984783984,0.2579197842095138,0.33292581430934315},
+{1.6089408845521025e-6,2.775450963087429e-6,4.207988518549997e-6,0.000010467004494302723,0.00003996071386953883,0.00014470996503643152,0.0004393749225142152,0.0011353099177503084,0.0025748196041515767,0.0052595174015571755,0.009869838652396812,0.017266514453751353,0.02849760259020349,0.04478060774811892,0.06744340697077848,0.09790579938281328,0.1377686781877481,0.1885522983748533,0.25170011318565394,0.32872634798699013,0.42097512633915835},
+{1.6180999172731557e-6,2.8105793766022044e-6,4.627945658011284e-6,0.000014018769074988644,0.000058365690910508656,0.00021277014030094841,0.0006381502992380369,0.0016235740885920734,0.0036261457447241937,0.007300718057476648,0.013516735263679908,0.023350953490892404,0.038089430212364696,0.05919709546893173,0.08823701624932946,0.1268467748111016,0.17684838467332908,0.23992124906046522,0.3176102871985929,0.41152060640718635,0.5230179563326538},
+{1.6273693804122808e-6,2.855360797529371e-6,5.247532792144956e-6,0.000019183472767551977,0.0000844645923773722,0.0003070668353328971,0.0009078930528013489,0.0022738887382825535,0.0050027782235240225,0.009932064129121497,0.01815044765682786,0.030978200608503186,0.049962427485205324,0.07683102853864204,0.11338683755307183,0.16147953728360048,0.22313996065307376,0.30018072778057464,0.3942102603538536,0.5068853787387089,0.6395449424185938},
+{1.636775244060925e-6,2.9142695658625987e-6,6.148070169032893e-6,0.000026541470795600193,0.0001207271140014269,0.00043515979775103945,0.0012670225338663058,0.0031241966325865414,0.006773421187495087,0.013265804337086176,0.02393951953561076,0.0403838387407838,0.06442611216073588,0.09806704685407008,0.1433465947327181,0.2023127722750932,0.2771843452525808,0.36987307125145374,0.4820051499420347,0.6152437418990134,0.77084735101487},
+{1.6463554766156158e-6,2.9934602948803937e-6,7.436299704187155e-6,0.0000368266078389977,0.00017017803936847343,0.0006060483703664685,0.0017369006277964632,0.004217434000333606,0.009014004646002967,0.017423147089353726,0.031061765435179054,0.051810562479880445,0.08179145866470951,0.12328121393767191,0.17854646570697147,0.24981152647307434,0.3394537681346465,0.4494425558533846,0.5813694753732749,0.7368538091850017,0.9170169397458557},
+{1.6561646094463662e-6,3.101243497508421e-6,9.249935982086615e-6,0.00005095183233053057,0.00023646496981230873,0.0008302869649920055,0.0023419456979765613,0.005601503077080781,0.01180727158580235,0.02253313486303838,0.03970207637059566,0.06550460593462343,0.10236576424242672,0.15283433900199833,0.21938514101834938,0.3043885738416842,0.4103432966012716,0.5392282633159137,0.6925426966468282,0.871808434198278,1.0779513761570778},
+{1.6662796291530785e-6,3.248651399327714e-6,0.000011763864179311934,0.00007003608826513491,0.0003239244410258876,0.0011200854462643946,0.0031097007874790416,0.0073291512543889464,0.015242219056297324,0.028731340301421836,0.050050069401871976,0.08171212664928128,0.1264477031142238,0.1870658569722358,0.2662229469947146,0.36639746851802635,0.49016476819093696,0.6394600464784137,0.81562851035087,1.020039194937652,1.2533642448113806},
+{1.6768074642004043e-6,3.450101463604055e-6,0.000015196963336252628,0.00009543210752470049,0.000437645032519839,0.001489391816684247,0.004070854021038824,0.009457760292878214,0.019413410342837716,0.03615842419287224,0.06229765132801591,0.10067564679838144,0.1543226928051347,0.22628839435166356,0.3193761344415018,0.4361273180751109,0.579143027070741,0.750257348654081,0.9505974456858588,1.1813239516757859,1.4427986630375897},
+{1.6878943592810031e-6,3.724164272234494e-6,0.000019819519483496416,0.00012875469517094985,0.0005835261491133876,0.0019539551141900453,0.005259210552151588,0.012049051447434213,0.024420177959613536,0.04495859622765939,0.07663656227026278,0.12263063936487077,0.18625867061712828,0.27078310756786955,0.37911237753290733,0.5137992426180706,0.6774143095590336,0.8716305628193793,1.0972922550783324,1.3552972596266903,1.6456435652831634},
+{1.6997374562267799e-6,4.0944413418394495e-6,0.00002596117998884592,0.00017190908143148808,0.0007683312615735998,0.0025313669804751197,0.0067116166944380905,0.015168714281241717,0.03036573877209292,0.05527801851693259,0.09325595857299802,0.14780233219488534,0.22250235251373585,0.32079584301998637,0.4456474800330532,0.5995644320047545,0.7850265729161433,1.0034845779533896,1.2554355797234755,1.5414629412441154,1.861151791182954},
+{1.7125989232531552e-6,4.590557232809274e-6,0.00003401938847369127,0.0002271189068948933,0.0009997345290974683,0.0032410809085330855,0.008467838027103932,0.018885968405629856,0.0373562432072745,0.06726318964423804,0.11234008689352205,0.1764027876596308,0.26327602260144733,0.37653413542572084,0.5191432475103421,0.6935036743480036,0.9019415294161868,1.145624144250621,1.4246393819194252,1.7392081723351958,2.088459209360414},
+{1.7268229944793185e-6,5.249268960566631e-6,0.00004446822902939401,0.00029695341107025377,0.0012863598822313311,0.004104408711919929,0.010570394249099675,0.023273068391832786,0.045499780357335706,0.08105934383417208,0.1340660931327884,0.20862830088381978,0.3087748796642574,0.4381650336874999,0.5997064545493007,0.7956282024343809,1.0280381316036096,1.2977606915926798,1.6044156661621023,1.9478185018058252,2.3266042167331467},
+{1.7428562985195568e-6,6.115694278465046e-6,0.000057867599452833204,0.00038435340793581516,0.0016378118140554672,0.005144494260192542,0.013064354364333734,0.028404762691855268,0.05490535996846512,0.0968088959694796,0.15860200144370878,0.24465714566131336,0.35916494827197254,0.5058137214119519,0.6873888144460659,0.9058816890469097,1.1631172514408488,1.4595202519494945,1.7941880534971448,2.166493299333181,2.574547063458953},
+{1.7612718682976486e-6,7.244658899339143e-6,0.00007487262594500909,0.0004926556542219411,0.0020646973035499915,0.006386264983020308,0.015997096409090007,0.034357717622638666,0.06568189097257313,0.11464995893529739,0.1861048903081845,0.28464768463733053,0.4145815460279591,0.579562882197691,0.7821878445845453,1.024143215568575,1.3069073028316045,1.6304521622188552,1.9933038235040392,2.394361202834716,2.8311885607058933},
+{1.7827972331899367e-6,8.702161194235611e-6,0.00009624322625289425,0.0006256152456106687,0.002578638472249533,0.007856362051253054,0.019418036388055535,0.04120991736085751,0.07793717449946062,0.13471495534431105,0.216719284873248,0.32873684931106395,0.47512828554947634,0.6594527474383086,0.8840485126003002,1.1502310388677732,1.4590705711138292,1.810038255973099,2.2010460915016106,2.63049521402331,3.0953878281660367},
+{1.8083469991446894e-6,0.0000105669513807526,0.00012285372459434343,0.0007874257113905942,0.00319227574866122,0.009583050491657303,0.02337833137797358,0.049040050517828684,0.0917769273236488,0.15712934128412706,0.2505757775733864,0.37703898600273744,0.5408765796505841,0.7454817561460553,0.9928655454928005,1.2839069876543716,1.619210032270365,1.9977022878759618,2.416645842060658,2.8739271626343323,3.3659788282097716},
+{1.8390603233390369e-6,0.000012932220719373853,0.00015570241984984182,0.000982736518022948,0.00391926148035256,0.011596110780777314,0.02793056190267554,0.05792689326799081,0.10730384956159388,0.18201045547242564,0.28778988266320255,0.42964505614359183,0.611865610700175,0.8376077516109677,1.108486285026126,1.4248813297549814,1.7868764668912749,2.1928193709750126,2.639293591470906,3.1236613261552035,3.6417855125388785},
+{1.8763436845386128e-6,0.000015907394801250078,0.00019592100835682667,0.001216667735185885,0.004774244087885632,0.013926713692415197,0.0331283986973674,0.067948698240848,0.12461674823355219,0.20946650321365776,0.3284611247074697,0.486622173027098,0.6881027199775471,0.9357496379861163,1.2307139771248388,1.572817964804059,1.961575697793186,2.394725243016916,2.8681504999172827,3.3786870509783,3.9216354747685696},
+{1.9219193422115544e-6,0.00001962002365623808,0.0002447837640876234,0.0014948216629415776,0.005772842995430481,0.01660728034438593,0.03902625888197475,0.07918259750215656,0.14380972611577056,0.23959568089775865,0.37267235634405865,0.5480134523990445,0.7695641697396964,1.0397894205703424,1.3593113896896334,1.727339811609785,2.142775804446394,2.602725212186531,3.1023587978219638,3.6379902723580413,4.204372058803245},
+{1.9778798634336966e-6,0.000024217760156956277,0.0003037163818904775,0.0018232912645627945,0.006931614698225729,0.019671329506747902,0.04567895637173074,0.0917040269877877,0.16497144319314258,0.27248544351336607,0.42048929673391544,0.6138381508271357,0.856196229336863,1.1495745561253057,1.494004661603642,1.8880342750586145,2.32991419106622,2.816102664432689,3.3410514295942964,3.9005638743665223,4.488864918838052},
+{2.046749078630776e-6,0.000029870417058514958,0.00037430439367192416,0.002208665295235165,0.008268010436046849,0.023153314299916024,0.05314135108606831,0.10558617875020963,0.18818445602575015,0.30821191478918875,0.4719602790003972,0.684092063524917,0.9479165367634753,1.2649205435475264,1.6344872950666178,2.054458693183248,2.522404407731999,3.03412704331903,3.5833608517273383,4.165416867514862,4.77401906324545},
+{2.131549805149105e-6,0.000036772092006842,0.0004583010727221925,0.002658030061464078,0.009800326034001688,0.02708845043191853,0.061468001191189614,0.12089948636450976,0.21352463849769826,0.3468394371330045,0.5271161925794761,0.7587481520516848,1.044615688227576,1.3856136902110838,1.7804242132819685,2.2261456804128175,2.719642644758184,3.2560612388762675,3.828426950859771,4.43158239135674,5.058782442554723},
+{2.235878651352517e-6,0.000045143348981988094,0.0005576347476672142,0.003178967788784169,0.0115476445473435,0.03151253810493502,0.07071282224296754,0.13771114784448563,0.24106068574506692,0.3884202564995707,0.5859706046831058,0.8377573719125164,1.1461590104056392,1.511413994955464,1.9314558155329236,2.4026082976696435,2.9210138394819185,3.4811683441657504,4.075404071328584,4.69812457285889,5.342152162309612},
+{2.363988183975109e-6,0.00005523344391956286,0.0006744154545854206,0.003779551615714256,0.013529772405985675,0.03646177966768815,0.0809287566990027,0.15608468946053752,0.27085370157399347,0.4329943356673241,0.6485200439452222,0.9210496703909153,1.252388472793057,1.642058094726733,2.0872019715109813,2.5833449936103605,3.1258973515108526,3.708717757261682,4.323467161225994,4.964144289314129,5.623179415884988},
+{2.5208767085088327e-6,0.00006732258168101166,0.00081094086349395,0.004468337269336546,0.015767169797758405,0.0419725950077701,0.09216745685402603,0.17607957294604765,0.30295686838449964,0.4805892881125399,0.7147444286964327,1.0085351258217226,1.3631247007652825,1.777262228053621,2.247265906172521,2.7678442737641578,3.333672177258427,3.9379906222843233,4.571817061463749,5.228783897803231,5.900973241389064},
+{2.7123858761366235e-6,0.00008172419111788278,0.0009697014235115882,0.0052543515120334755,0.018280876058161304,0.04808143657187347,0.1044789838320383,0.1977508477394313,0.3374151975091562,0.531220423707208,0.784607622123798,1.1001052008279897,1.4781690534621235,1.9167251746670722,2.411237935234477,2.9555890655078954,3.5437216873233663,4.168284616194183,4.819684974288922,5.491231002380123,6.174703211519616},
+{2.945306291934964e-6,0.00009878720469670687,0.0011533846793970344,0.006147077479579734,0.021092430849582774,0.054824605777216304,0.11791152485068139,0.2211488491431043,0.3742653569518169,0.5848908967992326,0.8580580967440996,1.1956340836905877,1.5973057342578452,2.060131136509264,2.578699019569,3.1460607567083727,3.75543788104267,4.398918098550114,5.066336156542348,5.750721335917189,6.443601166529902},
+{3.2274912584201617e-6,0.00011889832901725516,0.0013648787206953943,0.007156437057773553,0.024223791915963,0.062238072438853466,0.1325111305658921,0.24631894259294124,0.413535572760673,0.6415919468255633,0.9350296910854496,1.2949800938960951,1.720303905268134,2.2071525310201032,2.749224114156461,3.338742894472579,3.968225161496663,4.629233649621342,5.311072889144023,6.006540836505358,6.70696209903809},
+{3.567978745837606e-6,0.00014248429255694223,0.0016072747332691478,0.008292770468076372,0.0276972501910117,0.07035729868932013,0.14832147391401887,0.27330131362440324,0.45524559967958667,0.7013032214257535,1.0154424421718227,1.3979871299336881,1.846919780980958,2.357452672861386,2.9223852938781962,3.5331245378277356,4.181503641527339,4.858601028407002,5.553236778243849,6.258026998997093,6.9641442959263005},
+{3.97712163686946e-6,0.00017001405710587872,0.0018838686314283193,0.009566813252313802,0.03153534302071044,0.07921706871297328,0.16538363149910074,0.30213080259413927,0.4994067562782764,0.7639931720316397,1.0992034782832825,1.5044861395154412,1.9768986796115864,2.510688325092997,3.0977546442747204,3.7287032643776024,4.394711997114919,5.086419586530759,5.792210445571864,6.50456958118505,7.214568837568747},
+{4.4667262485760555e-6,0.00020200097960946004,0.0021981617571079615,0.010989670862447672,0.03576076623530181,0.08885132546082886,0.18373588822854275,0.33283678276647727,0.5460220194507918,0.8296195120766913,1.186207957472949,1.614296594519023,2.1099770141202785,2.6665121052247085,3.2749069104824233,3.924987836138029,4.607309888913038,5.312120176901776,6.027418666102737,6.745610741637275,7.457718548558833},
+{5.050199089211643e-6,0.00023900491149709497,0.0025538606404726895,0.012572791073915783,0.04039628577358547,0.09929301535552645,0.20341356558350993,0.3654430799994458,0.5950861729779234,0.8981297282667862,1.2763400384183374,1.7272279550508651,2.2458842079573063,2.8245747355216055,3.453421901927604,4.121500533940025,4.818779976038078,5.535166597706631,6.258329010519336,6.980644682713785,7.693136487348965},
+{5.742701762545684e-6,0.0002816342230420727,0.002954875823895166,0.014327934450190873,0.04546464952437262,0.11057394184268463,0.2244488736226273,0.39996793196039304,0.6465860047579916,0.9694616357561009,1.3694738713338521,1.8430811090649017,2.384344523489757,2.984527130444146,3.632886654047261,4.317779173102899,5.028629548502632,5.755056612937493,6.484452048385349,7.209216868065593,7.920424055077852},
+{6.561313886951662e-6,0.0003305477408503642,0.0034053197583853484,0.016267143092270165,0.050988500007564004,0.12272462849630848,0.24687078655979025,0.43642398456181175,0.70050054730757,1.0435439685534695,1.4654745978428951,1.9616497759192049,2.5250787937040027,3.146022317168911,3.8128973513738993,4.513378815623068,5.236391806126671,5.971322590465048,6.705341165646005,7.4309228792117965,8.139238796580317},
+{7.525203852720613e-6,0.0003864565872120583,0.003909503788200477,0.01840270790998426,0.056990288471592536,0.13577419224362913,0.27070494152917307,0.47481832312811784,0.7568013562056572,1.1202969970249195,1.5641993498776152,2.0827218640897853,2.6678060501616194,3.3087171877839676,3.993061018822896,4.7078731959929065,5.441626812490052,6.183531797801723,6.9205920472638365,7.645406970804442,8.349291959342168},
+{8.655807197277706e-6,0.00045012591075155393,0.004471934245500436,0.020747134652545383,0.06349219093591733,0.1497502271399693,0.29597355995239183,0.515152535678096,0.8154528212889774,1.1996331649385674,1.6654982388216957,2.2060807749735845,2.812245042315975,3.472274084009265,4.1729969900130435,4.90085587905015,5.643922152630543,6.39128639432174,7.129841872625941,7.852360379085913,8.550345869120536},
+{9.977012336592213e-6,0.0005223764985732926,0.0050973076825059326,0.02331310893391988,0.07051602665774662,0.16467869899784116,0.3226953907532952,0.5574228056297611,0.8764125055909663,1.2814577391028947,1.7692153272211149,2.3315066462924743,2.958115645178471,3.636362217186945,4.352338162990574,5.09194116904754,5.842893322853896,6.594223156937879,7.332768267965903,8.051519432947824,8.742211174203582},
+{0.00001151535335003009,0.0006040862609084039,0.0057905052736519315,0.026113460484629827,0.07808317945200816,0.1805838510570673,0.35088567452372327,0.6016200311987453,0.939631507242008,1.365669465265045,1.8751895764472406,2.4587775300526022,3.1051401539675267,3.800658927849608,4.530732054868918,5.280764789502754,6.03818388030398,6.792012974189812,7.529088056537134,8.242663512011584,8.924744003906175},
+{0.000013300209477933532,0.0006961915801122782,0.0065565864246978495,0.02916112685574591,0.08621452224347625,0.19748812077469416,0.3805561276272206,0.6477299687625382,1.0050548398043166,1.4521612245510134,1.9832557646972935,2.587670501317847,3.2530444657932875,3.9648507904381813,4.707841667692766,5.46698435341146,6.229465378927234,6.9843601414674845,7.718555843743673,8.425612891343613,9.097843080938524},
+{0.00001536401095438285,0.0007996885167356382,0.007400781629659105,0.03246911679336877,0.09493034518048923,0.21541206771501017,0.41171494513533063,0.6957333974957152,1.0726218267931058,1.540820685335167,2.0932453706527805,2.717962695224509,3.4015591496415007,4.128634569736366,4.883346178334211,5.6502796431451,6.416437117230115,7.171001487751344,7.900962470948756,8.60022650784579,9.26144682176249},
+{0.00001774245076330275,0.0009156338662820706,0.008328484619773643,0.036050473493034266,0.10425028759139052,0.23437431243114804,0.444366821420869,0.7456063026407906,1.1422665064291084,1.631530946014962,2.204987418983226,2.8494322707007047,3.550420406937189,4.291718036346076,5.056941465475291,5.830352718865776,6.598825721833447,7.351705361860989,8.0761333682944,8.766399679060667,9.415530453889803},
+{0.000020474701874779712,0.0010451460611641296,0.009345243851517837,0.03991823793348292,0.11419327401809734,0.25439148615044516,0.47851298718248475,0.7973200748610026,1.213918042969774,1.7241711647322553,2.3183092846784463,2.981859300264289,3.6993709258094283,4.4538206490769126,5.228340486766185,6.006927873623149,6.776384589326739,7.526270503815944,8.24392683361686,8.92406180112423,9.560103173954039},
+{0.000023603639488443777,0.0011894059132723544,0.010456753382964909,0.0440854124782827,0.12477745451641936,0.275478191005771,0.5141512616429179,0.8508417232209672,1.2875011412722228,1.8186171726207316,2.433037453917406,3.1150265860641793,3.848160632859224,4.614674112489761,5.397273519107923,6.179751452495013,6.948893207362638,7.694524824565314,8.404232261461715,9.073174048893764,9.695205364885},
+{0.000027176067784673232,0.0013496571934654227,0.011668843189551754,0.048564924922117336,0.13602014937017853,0.29764697049410294,0.551276118647666,0.9061340994550051,1.3629364615456148,1.9147420676664473,2.5489982398361364,3.2487204030095946,3.996547346769693,4.774022818045228,5.563488274725538,6.348591552231044,7.11615637434286,7.85632411506812,8.556968343307744,9.213727097826787,9.820905884870784},
+{0.00003124295066050733,0.0015272070451730103,0.01298746897161347,0.05336959314633247,0.14793779832603596,0.3209082897914093,0.5898787653894122,0.9631561313076462,1.4401410315504473,2.0124167867432763,2.6660184521434305,3.382731170408279,4.144297338507386,4.931624177385609,5.726749905301188,6.5132376168897945,7.278003335462065,8.011550703526067,8.702081257412537,9.345738883785069,9.937299436151072},
+{0.00003585964590584466,0.00172342623016697,0.014418701506890837,0.05851209053571732,0.16054591441837746,0.34527052550893167,0.62994723249468,1.0218630628633123,1.5190286537940407,2.1115106538255914,2.783926020053362,3.516854054016363,4.291185803160429,5.087248856244657,5.886840905951866,6.673499943947906,7.434286851318154,8.160112077501214,8.839542864199709,9.469252413281165,10.044504019173985},
+{0.0000410861422574937,0.0019397492053954098,0.015968715601636343,0.0640049122956891,0.17385904241873235,0.3707399644398084,0.6714664742310625,1.082206699919896,1.5995103055529498,2.211891902786541,2.90255056846175,3.650889500797962,4.436997248657812,5.240680917352807,6.043560930285215,6.829209114330676,7.584882213785059,8.301939485704422,8.969348920808988,9.584333632836962,10.142658477444227},
+{0.00004698729875331076,0.002177674030587262,0.017643778693979283,0.0698603427961305,0.1878907219120749,0.39732081081613485,0.7144184776243944,1.1441356586015021,1.6814945298220925,2.3134281735615843,3.0217239476927023,3.7846437090100142,4.581525806727148,5.3917178805025525,6.196726527168323,6.980215358781542,7.729686222391055,8.436986532422477,9.091517326257454,9.691069362768145,10.231920139691086},
+{0.00005363308579574229,0.0024387621071122467,0.01945023916288316,0.07609042405527429,0.20265345497300352,0.4250152015744955,0.758782379313881,1.2075956155470795,1.764887815545775,2.4159869807942522,3.1412807174856265,3.917929036475186,4.7245754714885,5.540170707675592,6.346170809214499,7.126387871970017,7.868616133062066,8.565227775866159,9.206086406429392,9.78956529866598,10.312462567615972},
+{0.00006109882732515358,0.0027246377493252505,0.021394514395376242,0.08270692546431976,0.21815867838818742,0.4538232291121957,0.8045345890180944,1.2725295581523115,1.8495949657263113,2.51943615438518,3.2610585861861603,4.0505643500908945,4.865960271059574,5.685863720822524,6.491743062345377,7.267614084744333,8.001608589782446,8.686657340166855,9.313113245663903,9.87994408341131,10.384473418470318},
+{0.00006946544349547538,0.0030369875903275717,0.023483078663788695,0.08972131484099663,0.2344167403476035,0.4837429710063182,0.8516489185346398,1.3388780334805697,1.9355194522311774,2.6236442516377427,3.3808988063509338,4.182375319752621,5.005504377473678,5.828634459539606,6.6333083051318456,7.403798903975768,8.128618548500043,8.801287549308729,9.412672069222664,9.962343453344685,10.448152431569254},
+{0.0000788196932410421,0.0033775598247402423,0.025722450863517266,0.09714473088816798,0.25143688150586635,0.5147705261628097,0.9000967152500008,1.4065793945937262,2.022563756328936,2.7284809409353494,3.500646528179474,4.313194659951556,5.143042160094539,5.968333485514904,6.770746805966239,7.534863928522645,8.24961820145958,8.909147589883064,9.50485267891886,10.03691446348716,10.50370954652221},
+{0.00008925441612177298,0.0037481632917061645,0.02811918216039635,0.10498795712182106,0.2692272202963194,0.5469000568625121,0.9498469991926339,1.4755700431843015,2.110629694177771,2.8338173570984777,3.620151112351191,4.442862322346694,5.27841818756013,6.10482414022708,6.903953565478097,7.660746648968983,8.364595909090063,9.010282208055429,9.589758943146153,10.103819797745315,10.551363158720662},
+{0.00010086877283454961,0.004150666401912074,0.03067984359510355,0.11326139732151932,0.2877947423643951,0.5801238361749043,1.0008666027208275,1.5457846675159492,2.1996187266682155,2.939526428755468,3.7392664039749732,4.57122564261545,5.411487183107729,6.237982261981173,7.032837770982137,7.781399637968186,8.47355514559653,9.10475044449397,9.66750734254751,10.163232170390629,10.591338514856512},
+{0.00011376848378235013,0.004586995912954483,0.033411013690206263,0.12197505254561593,0.3071452939729278,0.6144323002177989,1.0531203119963957,1.6171564747991023,2.289432253184011,3.0454831782217755,3.857850969457035,4.698139444860032,5.54211393793106,6.36769586796328,7.157322229145036,7.896789737248678,8.576513463509366,9.192624409416208,9.738225573297688,10.215332824633563,10.62386624834682},
+{0.00012806606509814219,0.005059135557858308,0.03631926610348282,0.13113849974328115,0.327283579220504,0.6498141047518871,1.1065710094552546,1.689617417242311,2.3799718889923867,3.151564994519672,3.975768298162853,4.823466106794145,5.6701731870031,6.4938648065953215,7.277342782480586,8.006897246616525,8.673501481604667,9.273988098727697,9.802051210951673,10.260310132910762,10.649181051841225},
+{0.00014388106152844475,0.005569124531997961,0.03941115736905817,0.1407608719857387,0.34821316090439475,0.6862561856123838,1.1611798165456877,1.7630984111270689,2.4711397261079227,3.257651880286184,4.092886970794608,4.947075588860333,5.795549451569645,6.616400385076071,7.392847714733441,8.111715119620078,8.764561899759599,9.348936251704632,9.85913043859302,10.298358301794623,10.667520481731485},
+{0.00016134027559187394,0.006119055844066801,0.04269321476570071,0.15085084033000593,0.3699364648519724,0.7237438224956836,1.2169062360641398,1.8375295483545178,2.56283857759318,3.363626673412919,4.2090807964292685,5.0688454303363235,5.918136852283062,6.735224976608918,7.503797149691751,8.211248169922628,8.849748543364965,9.417573250811406,9.909616843327534,10.329676182481661,10.679123887891533},
+{0.00018057799243936695,0.006711074537090623,0.04617192434935825,0.1614165973199549,0.392454787538663,0.7622607056365219,1.2737082934762864,1.9128403000064316,2.654972205365286,3.469375244339503,4.3242289201675606,5.188660715382855,6.037838896706733,6.850271611443245,7.610162447479718,8.305512291859788,8.929125438893685,9.480012064820995,9.953670284924735,10.354466185858023,10.684231460727306},
+{0.00020173619985727482,0.007347375785789343,0.04985371918468593,0.17246584212162455,0.4157683068062038,0.801789004930238,1.331542676667473,1.9889597115500444,2.747445531671075,3.574786669983968,4.438215903332713,5.306414011868284,6.154568244680917,6.961483555496627,7.7119256019228315,8.394533698132767,9.002765921280822,9.536373237109949,9.991455839670891,10.372933299358323,10.683083386885736},
+{0.00022496480286947633,0.008030202876855198,0.05374496780795888,0.18400576728242568,0.43987609549219603,0.8423094410750995,1.390364873621149,2.0658165893969525,2.840164834475388,3.6797533853403794,4.550931778132702,5.422005285680046,6.268246454803159,7.068813879981234,7.809078642151377,8.478348177084921,9.070751773128825,9.586783921561075,10.023142821404294,10.385284201343872,10.675919104548564},
+{0.000250421832412249,0.00876184507893913,0.05785196295138337,0.1960430470972076,0.4647761377804623,0.8838013583308983,1.4501293075764177,2.143339678600383,2.9330379270780407,3.784171313807854,4.66227207866279,5.535341793101712,6.378803715042654,7.172225025130703,7.90162304121144,8.55700037147703,9.133172395539127,9.631376968757849,10.048903880423541,10.391726467584702,10.662976649062372},
+{0.0002782736475738849,0.009544635409321026,0.062180910556439796,0.20858382755804936,0.4904653480814488,0.926242798511946,1.510789469266024,2.221457831542951,3.0259743223360327,3.887939977337154,4.77213785007843,5.646337953699343,6.48617856028002,7.271688360814241,7.989569134086237,8.630543080075075,9.190124010562101,9.67029006504182,10.068914179647777,10.392467863648639,10.644492079722422},
+{0.00030869513091102307,0.010380948304384298,0.06673791910152214,0.22163371785912403,0.5169395922527235,0.9696105758549204,1.5722980458839528,2.3001001675286594,3.1188853819190823,3.990962587492832,4.880435637713838,5.754915206023719,6.590317579342981,7.367183746533161,8.072935547193511,8.699036582725665,9.241708895704685,9.703664926560158,10.083350646186458,10.387715716569808,10.620698978830731},
+{0.0003418698763747321,0.011273197201123467,0.07152898926679332,0.23519778342302042,0.544193710971369,1.0138803524245106,1.6346070464771314,2.3791962232487323,3.2116844510696465,4.0931461185314415,4.9870774578602965,5.861001848297318,6.6911751138955715,7.458699093021549,8.15174864111485,8.762547989034594,9.288034651449975,9.731646549740896,10.092391295427985,10.377676359063305,10.591828014666778},
+{0.00037799036940129284,0.012223832036988302,0.07656000395687275,0.24928054041048558,0.5722215450727208,1.0590267137423417,1.6976679234985688,2.4586760941410986,3.304286979373818,4.19440136359113,5.091980751852005,5.964532866118204,6.788712951334626,7.54622992741741,8.226041968024779,8.821150610410903,9.329213503163611,9.754382518801576,10.0962146239266,10.362554639713455,10.55810656069756},
+{0.000417258158745886,0.013235336675407137,0.08183671869970957,0.26388595167164863,0.6010159626732547,1.1050232443469752,1.7614316902994351,2.5384705667082046,3.3966106280774504,4.294642975075617,5.195068325037162,6.065449749077883,6.882900013652652,7.629778963732892,8.295855745001175,8.874923355155161,9.365361638984766,9.77202237002226,10.094999066768448,10.342553492885601,10.519758364151436},
+{0.0004598840196607803,0.014310226264342696,0.08736475243779485,0.27901742409338043,0.6305688878994978,1.1518426030148234,1.8258490343752487,2.618511241897748,3.4885753645034896,4.393789490297601,5.29626827213912,6.163700298058101,6.9737120440416644,7.709355680131855,8.36123634408234,8.923950146431107,9.396598585289555,9.78471701167827,10.088922514722917,10.317873562487913,10.477003257926755},
+{0.0005060881080442444,0.015451044535213792,0.09314957872572663,0.2946778072945096,0.6608713310494708,1.1994565973934004,1.8908704262164038,2.6987306496860732,3.580103544142175,4.491763343423511,5.395513890437943,6.259238424842882,7.061131292837895,7.784975904319541,8.422235799574022,8.968319363272723,9.423046621086913,9.792618197789249,10.078161886309866,10.288712874075166,10.430056910644455},
+{0.0005561001052114192,0.0166603610494688,0.09919651734607157,0.3108693936181343,0.6919134200182949,1.2478362578193931,1.9564462236458322,2.7790623550346774,3.671119980996231,4.588490864734368,5.4927435821271455,6.352023945557554,7.145146204242847,7.856661408161748,8.478911332734791,9.00812330513274,9.44483023230949,9.795878053234492,10.06289274990574,10.255266550128932,10.379130610442406},
+{0.0006101593529635083,0.017940768400025533,0.10551072635347664,0.32759391936819754,0.7236844328251818,1.2969519101144196,2.022526771556643,2.8594410554168825,3.7615520067689396,4.683902268186779,5.587900747124603,6.442022369326559,7.225751105101862,7.924439512478893,8.531324893654299,9.043457680776429,9.462075606457283,9.794648647325017,10.043288991137254,10.217726563689846,10.324431078819243},
+{0.0006685149786575614,0.019294879374695546,0.11209719455507147,0.3448525672358427,0.7561728310849463,1.3467732471711125,2.089062496990338,2.939802670134555,3.8513295194846457,4.777931628224801,5.680933667541528,6.529204683426822,7.302945896877068,7.988342702802522,8.579542719956626,9.074421122503106,9.474910167500907,9.789081612610671,10.019522521037405,10.176281525881832,10.266160311451914},
+{0.0007314260100048595,0.020725324088594763,0.11896073443337518,0.3626459698597577,0.7893662942734111,1.3972693991610676,2.156003999521498,3.020084421663869,3.9403850221291337,4.870516846757679,5.771795384938787,6.613547136103532,7.376735751816968,8.048408256731904,8.623634911940268,9.101114726711348,9.48346215040747,9.779327805523858,9.991763020737592,10.131116503268006,10.204515443429354},
+{0.0007991614793519137,0.02223474709240474,0.12610597551618002,0.3809742144637805,0.8232517546425417,1.4484090022143925,2.223302136938039,3.1002249092851777,4.028653651892119,4.96159961118137,5.860443571427042,6.695031018110757,7.447130814200037,8.104677883372826,8.6636750238899,9.123641621717903,9.487860214155518,9.765537005403884,9.960177718827373,10.082412861410731,10.139688636768478},
+{0.0008720005172242144,0.02382580446319509,0.13353735819623497,0.39983684851440976,0.8578154326477939,1.500160265437897,2.290908106227125,3.180164175264953,4.11607320058601,5.0511253442832675,5.946840395595874,6.773642443940166,7.514145907413852,8.157197375160587,8.699739671509192,9.14210656351965,9.48823309168222,9.747857648485779,9.924931197916456,10.030348131458346,10.071866988416055},
+{0.0009502324349386163,0.025501160884347077,0.14125912800198734,0.41923288634052863,0.8930428727569352,1.5524910361554272,2.3587735198957853,3.2598437638679734,4.202584126804638,5.139043146830458,6.030952384187795,6.849372133607449,7.577800247524414,8.206016272162042,8.731908155665423,9.156615559888463,9.484709274870399,9.72643659355401,9.886185227352733,9.975095897028503,10.001232457201967},
+{0.0010341567961161537,0.02726348672093295,0.14927533031917367,0.43916081665760576,0.928918979516464,1.6053688632694518,2.4268504776723794,3.3392067734856883,4.28812956037319,5.225305733602305,6.112750280366235,6.922215195778028,7.638117163891909,8.251187538742132,8.760262102848086,9.16727552284749,9.477416732439247,9.701418916134426,9.844098619437823,9.916825699083287,9.92796180840875},
+{0.001124083476952434,0.029115455096709507,0.1575898055616696,0.4596186109388181,0.9654280537586514,1.6587610586577137,2.4950916336502065,3.4181979021721194,4.372655299626327,5.30986936358849,6.192208899362019,6.992170912930604,7.695123827298813,8.292767252311332,8.784885122886761,9.174193949227591,9.466482658446775,9.672947728308694,9.79882710679809,9.855702956878087,9.852226574770112},
+{0.0012203327151281162,0.03105973897867494,0.16620618478872023,0.4806037325759631,1.0025538288391294,1.712634756532613,2.5634502589481216,3.4967634868820756,4.456109802035792,5.39269376503431,6.269306982221006,7.059242529179752,7.7488509859734505,8.330814303780214,8.805862484529563,9.177478628671482,9.452033249036266,9.641164021468995,9.750523238803238,9.791888903404852,9.774193032819287},
+{0.0013232351472666206,0.033099008274920724,0.17512788576447272,0.5021131467736625,1.0402795068018145,1.7669569707039805,2.631880299974845,3.5748515367080627,4.538444168692067,5.473742055976078,6.344027048316469,7.123437041306265,7.799332709814927,8.365390109350177,8.823280809452521,9.177237378159381,9.43419350505194,9.606206529574253,9.699336295093351,9.725540534035797,9.694022193585596},
+{0.001433131834870927,0.03523592695128471,0.18435810945462153,0.5241433311211486,1.078587794374749,1.8216946496980118,2.700336432394057,3.6524117604121886,4.619612123126813,5.552980660871055,6.416355247233252,7.184764993476599,7.846606143048303,8.396558333355497,8.837227785163673,9.173577801886074,9.413087058197553,9.568211610712352,9.645412214408546,9.656810567306005,9.61186980669319},
+{0.0015503742786945065,0.037473150172077946,0.19389983695395016,0.5466902867869198,1.1174609387071406,1.8768147296964282,2.7687741108962873,3.7293955885478263,4.6995699849444295,5.630379223888978,6.486281210577248,7.24324027607017,7.8907112654522304,8.424384622011942,8.847791897102868,9.166607075129875,9.388836018504138,9.52731314500849,9.588893537040937,9.585847416955772,9.5278863769557},
+{0.0016753244215256511,0.03981332146992191,0.20375582683761795,0.5697495502826598,1.156880762764454,1.93228418527045,2.837149614891283,3.8057561904630752,4.7782766387121445,5.705910519395619,6.553797904212908,7.2988799289752935,7.931690662197903,8.448936348086505,8.855062180040724,9.156431750620671,9.36156084099718,9.483642447142884,9.529919359364206,9.512795174491925,9.442217192590538},
+{0.001808354639386255,0.04225906994948851,0.2139286129281755,0.5933162057440643,1.1968287003048232,1.988070077893797,2.9054200902409084,3.88144848647402,4.8556934985386455,5.779550360123308,6.618901481383404,7.351703949661,7.969589302222021,8.470282366648927,8.859127988667545,9.143157585832673,9.33138020959848,9.43732819195007,9.468625299047321,9.437793601627696,9.35500236419992},
+{0.0019498477211688332,0.04481300752969241,0.2244205024695195,0.6173848976775898,1.2372858303663303,2.04413960222793,2.973543587157978,3.9564291554909428,4.931784468751922,5.851277503489095,6.681591137122911,7.4017351062827075,8.00445432494639,8.488492782174939,8.860078787053416,9.126889389593321,9.298410936456015,9.388496351771769,9.405143469723532,9.360978132031056,9.266376873686342},
+{0.0021001968367566296,0.04747772622863723,0.23523357469829512,0.6419498441235865,1.2782329112007516,2.1004601301809136,3.0414790944006285,4.030656638374891,5.006515901067349,5.921073556488121,6.741868964327805,7.448998756034428,8.036334835075412,8.503638727331461,8.858003956466764,9.107730886405253,9.262767875057332,9.337270144431594,9.339602464055234,9.282479881857006,9.176470632289588},
+{0.0022598054936922196,0.05025579549536978,0.2463696798026231,0.6670048501878191,1.319650413595254,2.1569992527487547,3.109186569895147,4.104091137295401,5.079856548617604,5.9889228795578795,6.799739811813732,7.493522668918589,8.065281705167855,8.5157921537816,8.852992620869829,9.085784596916605,9.224563845643862,9.283769990888088,9.272127344301389,9.20242566856771,9.085408546952303},
+{0.002429087482480256,0.05314975959224931,0.2578304382574816,0.6925433218949948,1.3615185535292054,2.213724819654946,3.1766269679226258,4.1766946113532475,5.1517775171967655,6.054812489778689,6.85521114464804,7.535336857066725,8.091347385696116,8.525025635307632,8.84513348927129,9.06115173303871,9.183909571600173,9.228113481784522,9.202839639647767,9.120938037559531,8.993310594242388},
+{0.0026084668106287076,0.05616213503149189,0.2696172405255769,0.718558280319574,1.4038173241186784,2.2706049768100804,3.243762263006416,4.248430768724303,5.222252214051838,6.118731963746451,6.908292907012304,7.574473409708471,8.114585722367035,8.531412183471835,8.834514714010428,9.033932106292545,9.140913625640206,9.170415352229842,9.131857349696386,9.038135296122979,8.90029190108366},
+{0.002798377625551821,0.05929540806920505,0.2817312471121212,0.7450423759508699,1.4465265268065004,2.3276082016189967,3.310555470638279,4.319265055572715,5.291256294536293,6.180673340426111,6.958997387817106,7.6109663338500715,8.135051780568098,8.53502507592981,8.82122376397387,9.004224048060463,9.095682384750166,9.110787464208688,9.059294953624892,8.9541315542637,8.80646283157135},
+{0.002999264126474818,0.06255203225998605,0.29417338896157325,0.7719879032511663,1.4896258017606194,2.38470333616789,3.376970664981392,4.3891646419731565,5.358767606921905,6.240631024267612,7.007339089261041,7.6448514006810955,8.152801676902236,8.535937697390299,8.805347311702793,8.972124340521917,9.048319992973846,9.049338796038539,8.985263424618804,8.86903677191216,8.711929079176109},
+{0.0032115804654979387,0.06593442607491663,0.3069443681840949,0.7993868153673924,1.5330946574483961,2.4418596183283054,3.442972993688022,4.458098405073352,5.424766135647286,6.298601688841318,7.053334598497992,7.67616599767575,8.167892417867412,8.534223393090281,8.786971133332257,8.93772815715778,8.998928331239473,8.986175438288155,8.909870249249987,8.78295681204902,8.616791763669351},
+{0.0034357906379925774,0.06944497058555357,0.3200446590992381,0.827230738958673,1.5769124993588728,2.499046710818821,3.5085286899688515,4.5260369097193,5.489233943264232,6.354584181225925,7.097002462550789,7.70494898629474,8.180381745810143,8.529955334532685,8.766180020311397,8.90112901181278,8.947606993528805,8.921400595562664,8.833219451525705,8.695993499273614,8.521147532133261},
+{0.003672368362517589,0.07308600721628145,0.3334745095841777,0.8555109891038826,1.6210586578494197,2.5562347282687354,3.573605082049597,4.592952386756721,5.552155111326135,6.4085794273595935,7.138363066585536,7.7312405651343,8.190327992328083,8.523206397123163,8.743057701879072,8.86241871540812,8.894453268778275,8.855114593561861,8.755411621366605,8.60824468334492,8.425088663450584},
+{0.003921796950458142,0.07685983556716836,0.34723394271366514,0.8842185842551511,1.6655124150971516,2.613394262331001,3.638170600148804,4.658818709213274,5.6135156804464765,6.460590338543813,7.17743851563885,7.755082138322778,8.197789939313328,8.514049049246525,8.71768677731051,8.82168733949339,8.83956212798002,8.78741489083659,8.676543947292611,8.519804307229059,8.32870317570222},
+{0.004184569165602675,0.0807687113092442,0.3613227586787845,0.9133442612050585,1.7102530311393578,2.6704964048943087,3.702194781108626,4.723611366557157,5.673303589739749,6.5106217192696745,7.2142525198701675,7.7765161889423045,8.202826687816597,8.502555252244948,8.69014865700244,8.779023185918243,8.783026216018417,8.718396094704456,8.596710253105515,8.430762479194483,8.23207493593374},
+{0.004461187073886047,0.08481484415390583,0.3757405369715353,0.9428784900370573,1.7552597689907656,2.727512769446329,3.7656482708079464,4.78730743721876,5.731508615842114,6.558680176517511,7.24883028339275,7.795586157257666,8.205497534877395,8.488796370700388,8.66052351152399,8.73451276198798,8.724935847836875,8.648149980837276,8.516001038359565,8.341205548505688,8.13528377178574},
+{0.004752161883538802,0.08900039589794274,0.3904866388222578,0.9728114890304117,1.8005119188288035,2.7844155106419914,3.8285028244844805,4.8498855595531625,5.7881223116945915,6.6047740306634175,7.28119839672016,7.812336323564874,8.205861858412096,8.472843092381765,8.628890227824783,8.68824076054375,8.66537900858531,8.576765516092852,8.434503522408267,8.251216184278466,8.038405584516175},
+{0.005058013775892916,0.09332747854547492,0.4055602098769427,1.003133239492683,1.8459888212411808,2.841177342132111,3.8907313050895813,4.9113259014125505,5.843137945257788,6.648913228109733,7.311384732849166,7.826811695521148,8.203979010187098,8.454765357193116,8.595326371858553,8.640290044476682,8.604441357455991,8.504328884227181,8.352301691809956,8.160873457074093,7.941512462976242},
+{0.005379271727105,0.09779815250789675,0.42096018310152405,1.0338335004944912,1.8916698895330255,2.8977715527088774,3.9523076797962875,4.971610128488969,5.896550438313936,6.691109255741382,7.339418346984238,7.839057899877206,8.199908216833638,8.43463229444973,8.559908156947078,8.590741635246545,8.542206234974381,8.430923514185094,8.269476350867484,8.070252922826201,7.844672798133807},
+{0.005716473321066714,0.10241442488273071,0.436685281900353,1.0649018234829228,1.9375346310935289,2.9541720208255478,4.01320701477788,5.030721371579416,5.94835630549938,6.731375057295688,7.365329379890205,7.8491210785922485,8.193708488789431,8.41251216781326,8.522710417274642,8.539674705029286,8.478754673563628,8.356630110723023,8.1861051750701,7.979426708711842,7.747951397770475},
+{0.006070164553780578,0.10717824781211133,0.4527340234361663,1.0963275667515773,1.983562667824563,3.010353227548318,4.073405468370681,5.088644192916973,5.9985535936986825,6.769724951720081,7.389148964836166,7.857047789364786,8.185438536984403,8.388472327232103,8.483806585965839,8.487166572165268,8.414165411233881,8.281526687165877,8.10226276719926,7.888463600597531,7.651409601009789},
+{0.006440899629487213,0.11209151692144413,0.4691047221390225,1.1280999097467923,2.0297337556360686,3.0662902679986996,4.132880282731398,5.1453645517036435,6.047141821920114,6.806174553579885,7.410909138064961,7.862884910652201,8.175156697026628,8.362579167257213,8.443268677258656,8.433292699620614,8.348514908254682,8.20568860013847,8.018020715855473,7.797429131710996,7.555105392365073},
+{0.006829240748836763,0.11715606983861282,0.48579549339184136,1.1602078671910891,2.0760278030150974,3.121958861344829,4.191609774095465,5.200869768972634,6.094121921761417,6.840740695566948,7.43064275269135,7.866679551276683,8.162920860591466,8.334898091134274,8.401167272339597,8.378126696209353,8.281877366651832,8.129188586141417,7.933447656160086,7.706385672210095,7.459093515025198},
+{0.007235757889403351,0.12237368479394889,0.5028042573803944,1.1926403030063455,2.1224248886774233,3.1773353594001503,4.249573321739366,5.255148491900334,6.139496178564676,6.8734413531495475,7.448383395904717,7.868478964723679,8.148788413674295,8.305493480108858,8.357571508458333,8.321740320354296,8.214324752339028,8.052096799862317,7.848609332385394,7.615392519341389,7.363425583125621},
+{0.007661028578846914,0.12774607930102033,0.520128743095797,1.2253859440205759,2.168905278312322,3.2323967538875467,4.306751355745962,5.308190657680702,6.183268173349215,6.904295571394189,7.464165309333392,7.868330468232584,8.132816181333876,8.274428667419679,8.312549070985028,8.264203486189691,8.145926819659936,7.97448085412592,7.763568662267573,7.52450598790199,7.268150192778248},
+{0.008105637661031171,0.1332749089181486,0.5377664924778021,1.2584333934435579,2.215449440432818,3.287120682426672,4.363125343668196,5.359987457067759,6.225442725602548,6.933323393981159,7.478023312422429,7.86628136676055,8.11506037853072,8.241765916495739,8.266166188114907,8.205584271830588,8.076751138088527,7.896405861394179,7.678385802760267,7.433779500739381,7.173313031658245},
+{0.008570177055410763,0.13896176609042388,0.5557148646874341,1.291771144097814,2.2620380613450854,3.3414854333016066,4.418677776182728,5.41053129768492,6.266025837000684,6.960545794427536,7.4899927286851415,7.8623788818716065,8.095576566651058,8.207566402913857,8.218487627961348,8.145948929651523,8.00686312081949,7.817934476729087,7.593118216991954,7.343263679044937,7.078956986967636},
+{0.009055245510003704,0.14480817907185328,0.5739710404977859,1.3253875913927016,2.3086520592520685,3.3954699490652844,4.473392151821327,5.459815767193354,6.305024636121096,6.985984609523909,7.5001093147097535,7.8566700855682985,8.074419615301835,8.171890199713747,8.169576697811381,8.085361898432478,7.93632605497929,7.739126942129876,7.507820742196994,7.253006432217855,6.985122251615357},
+{0.00956144834826796,0.15081561092715048,0.5925320267920583,1.3592710460305246,2.3552725975074735,3.4490538290362815,4.527252960864039,5.507835596405073,6.342447324203988,7.0096624749842915,7.508409191832115,7.849201839044225,8.05164366896421,8.134796265706786,8.119495245345814,8.023885817242203,7.8652011332003,7.66004113215234,7.42254565839857,7.1630530470966365,6.891846428471387},
+{0.010089397210202772,0.1569854586125576,0.6113946611582338,1.3934097464347255,2.401881097037409,3.5022173307426687,4.580245668474536,5.554586622420472,6.378303122010552,7.031602763302548,7.514928780419654,7.8400207362966405,8.027302118101565,8.096342436452208,8.068303661651246,7.961581540939618,7.7935474863227805,7.580732600713312,7.337342757631274,7.073446276375411,6.79916463256947},
+{0.010639709787997444,0.16331905213497364,0.6305556165700577,1.427791870891269,2.4484592479477736,3.5549413703665613,4.632356697154334,5.600065751864089,6.412602217820101,7.051829523802813,7.519704736745596,7.829173052499846,8.00144757433131,8.05658541760954,8.016060885872363,7.898508157182391,7.72142221701869,7.501254628977658,7.252259413501515,6.984226426040938,6.707109591148621},
+{0.011213009556550019,0.16981765378856306,0.6500114061443162,1.46240554939538,2.4949890203363454,3.607207522241927,4.683573408588984,5.644270924286783,6.445355716601901,7.070367424865412,7.522773892462934,7.81670469700512,7.974131849287158,8.015580780408804,7.9628244113715025,7.834723004839658,7.648880434163486,7.421658274220032,7.167340650895062,6.895431441683586,6.615711741438835},
+{0.011809925499179546,0.17648245746791447,0.6697583879647157,1.4972388751967562,2.541452674329179,3.658998017457023,4.733884084955854,5.687201075797243,6.476575590391674,7.08724169830251,7.524173196711605,7.802661170801874,7.945405936819018,7.973382959010089,7.908650293277981,7.770281693714779,7.57597528781451,7.341992419549036,7.082629215652855,6.807096993551251,6.5249993261108985},
+{0.012431091828854813,0.18331458805672865,0.6897927699629741,1.5322799160373182,2.58783276936147,3.710295741611593,4.783277909759591,5.72885610298054,6.5062746298973995,7.102478085847889,7.52393966090847,7.787087528248529,7.915319998199695,7.930045249551459,7.8535931573229245,7.705238125497239,7.502758004684428,7.26230382437767,6.998165644048301,6.719256560229428,6.434998486324134},
+{0.013077147705261612,0.19031510089093,0.7101106148480713,1.5675167250764521,2.6341121727235706,3.7610842317776747,4.831744948258028,5.769236827156655,6.534466397354055,7.1161027877127685,7.522110306277724,7.7700283428609955,7.883923350031464,7.88561981070871,7.797706209866537,7.6396445158808906,7.429277924024537,7.182637175521558,6.9139883319118915,6.631941510843683,6.345733352319335},
+{0.013748736948029593,0.19748498129501202,0.730707845074916,1.6029373514995353,2.680274067393167,3.8113476727115523,4.879276127537974,5.808344959027307,6.561165180642315,7.128142413145194,7.518722114179257,7.751527676930907,7.851264454569428,7.840157665612896,7.741041249033922,7.573551417804305,7.355582533854185,7.103035138805095,6.830133603261717,6.545181185692769,6.2572261315166395},
+{0.01444650774643788,0.2048251441903592,0.7515802478440317,1.638529850806367,2.726301959174994,3.8610708923630224,4.9258632162971585,5.846183063755012,6.586385948681986,7.138623932916954,7.513811979285632,7.731629054735506,7.817390912202813,7.793708704990742,7.68364867688347,7.50700774578097,7.281717507489392,7.023538411055665,6.746635778311171,6.459002975231916,6.16949719409},
+{0.015171112365915871,0.21233643377421205,0.7727234801241603,1.6742822947768365,2.772179683169596,3.910239356726713,4.971498804385385,5.882754526514117,6.610144308106887,7.147574633651195,7.5074166656455885,7.710375439095234,7.782349455858759,7.746321691410561,7.625577512537965,7.440060801286847,7.207726740335605,6.94418577236715,6.663527240737269,6.373432397336457,6.08256515600076},
+{0.015923206851654225,0.22001962326788793,0.7941330736900479,1.7101827811119712,2.8178914095929,3.958839164078899,5.016176282155093,5.918063518549745,6.632456461224522,7.155022073899194,7.4995727656554045,7.687809211033933,7.746185947116148,7.698044264531461,7.566875406214165,7.372756299159909,7.13365238691764,6.865014138516368,6.580838504104859,6.288493172786404,5.9964469594831655},
+{0.016703450729636606,0.2278754147328065,0.8158044401679613,1.7462194427490985,2.8634216489683135,4.006857038641694,5.0598898196683795,5.952114963776704,6.653339165260216,7.160994041875837,7.49031666193972,7.663972152298516,7.708945373838427,7.648922947266387,7.507588654090579,7.305138394943459,7.0595348981239,6.786058613419148,6.498598277352324,6.204207298922202,5.911157950983876},
+{0.017512506705400277,0.23590443895282176,0.8377328760818371,1.7823804568505957,2.90875525671322,4.0542803237152105,5.10263434580493,5.984914505947093,6.67280969288263,7.165518514771647,7.479684492122874,7.638905430500751,7.670671849154885,7.5990031527812745,7.447762213957004,7.237249713079157,6.985413058643671,6.707352541517147,6.416833529254633,6.120595121431629,5.826711956566334},
+{0.01835104036082964,0.24410725538131597,0.8599135678932731,1.8186540534662594,2.953877437141568,4.101096974316773,5.14440552731238,6.016468476411923,6.690885794004667,7.168623619572265,7.467712116450775,7.612649586651584,7.631408611638753,7.54832919226194,7.38743972159217,7.169131375831408,6.911324024575491,6.628927559991427,6.3355695517882875,6.037675404236693,5.74312135479858},
+{0.01921971984928231,0.25248435215146536,0.8823415970288832,1.8550285238699302,2.998773746904257,4.1472955493648485,5.185199747838109,6.046783862498966,6.7075856588511416,7.170337595333317,7.454435088203243,7.585244524868581,7.591198026547873,7.496944283388681,7.3266635078182185,7.1008230328071775,6.837303361182432,6.550813650704658,6.254830022331264,5.9554653974579965,5.660397147150223},
+{0.02011921558934349,0.2610361461480595,0.9050119448888636,1.8914922285715638,3.0434300978888236,4.192865203444006,5.225014086978904,6.0758682765262355,6.722927882282562,7.170688756877244,7.439888626818422,7.556729504048602,7.550081588009729,7.444890559465547,7.265474616182909,7.032362890926316,6.763385080767112,6.4730391917801295,6.17463706463892,5.873980903442195,5.578549025930482},
+{0.021050199957499356,0.26976298313921326,0.9279194978309111,1.928033605006426,3.0878327595997623,4.23779567818571,5.263846299382445,6.103729925467562,6.7369314293619516,7.1697054598966865,7.424107593634384,7.52714313131044,7.508099922046976,7.392209079156946,7.203912821221938,6.963787744697207,6.689601680635561,6.395631008732218,6.095011308544162,5.793236340845497,5.497585439804543},
+{0.02201334698001519,0.2786651379662953,0.9510590521239528,1.9646411749036237,3.1319683610406184,4.282077293298493,5.30169479393233,6.130377581284459,6.749615602150062,7.167416067465773,7.4071264701394055,7.496523357025567,7.465292790352708,7.338939836789256,7.142016647255456,6.895133006660423,6.615984181115548,6.318614425069693,6.015971948337538,5.713244806773243,5.41751365693022},
+{0.023009332024298623,0.28774281479036334,0.9744253188664289,2.001303551336569,3.1758238921186424,4.325700937279529,5.338558613045947,6.155820551935729,6.761000007712328,7.163848917973583,7.388979338610921,7.464907471268514,7.421699094736115,7.28512177317894,7.0798233876739225,6.826432737876634,6.542562163591362,6.242013312299425,5.937536799789602,5.634018136981558,5.338339825760464},
+{0.02403883149002341,0.29699614739338387,0.9980129288641731,2.0380094454584605,3.2193867045926297,4.368658057838404,5.374437412112525,6.1800686530743025,6.7711045273191175,7.159032294504036,7.369699865014871,7.432332101532388,7.377356882169667,7.230792786952122,7.017369124669827,6.757719678352641,6.46936380851415,6.1658501392643466,5.859722355784707,5.555566964152858,5.260069033560648},
+{0.025102522500282796,0.3064251995324974,1.0218164374632244,2.0747476729262195,3.262644512584121,4.4109406520624965,5.409331439096515,6.20313218043857,6.779949286818309,7.152994395691915,7.3493212840310385,7.398833211568195,7.33230335037785,7.175989746323193,6.954688749372753,6.689025277318717,6.39641593334437,6.090146020755293,5.782543840541693,5.477900774261793,5.182705362691829},
+{0.026201082593036135,0.3160299653455754,1.0458303293331592,2.111507160016685,3.3055853926718717,4.452541256352041,5.443241514329518,6.225021882943549,6.787554628155474,7.145763308086417,7.327876386066435,7.364446101219796,7.28657485391541,7.120748501302152,6.8918159823463805,6.620379723289749,6.32374403038105,6.014920765341764,5.7060152624030005,5.401027961052701,5.106251944713158},
+{0.02733518941310599,0.3258103698063159,1.0700490231968462,2.1482769494392393,3.3481977835891015,4.493452936151757,5.476169010512163,6.245748936475445,6.793941082012045,7.137366980051947,7.3053975061176075,7.329205407138931,7.240206910690027,7.065103896302278,6.828783394407178,6.5518119738610165,6.251372304431647,5.940192922372276,5.6301494651796515,5.324955878653565,5.030711012358087},
+{0.028505520404977284,0.33576626922710745,1.094466876502751,2.1850462058493028,3.390470485542626,4.533669275504564,5.508115832945399,6.2653249183914435,6.79912934152561,7.127833197230915,7.281916514343159,7.293145104276316,7.193234208890055,7.0090897831209915,6.765622427726246,6.483349785205285,6.179323710275793,5.865979828099802,5.554958178044754,5.249690892354941,4.956083949439894},
+{0.02971275250664291,0.3458974518079029,1.1190781900362041,2.2218042210674533,3.432392659172613,4.573184366451803,5.539084400009174,6.283761782725109,6.803140237050192,7.117189559586215,7.257464808210305,7.256298508056228,7.145690614283305,6.9527390342680135,6.70236341717952,6.415019741251517,6.107619989876811,5.792297650893166,5.480452063973463,5.1752384275855405,4.882371338742832},
+{0.030957561844734482,0.3562036382293357,1.1438772124662886,2.258540419009171,3.4739538241712173,4.611992798303058,5.569077623904632,6.301071836096202,6.80599471190895,7.105463460032009,7.2320733060828815,7.218698277152127,7.097609177856883,6.89608355661581,6.639035611918639,6.346847282536004,6.036281709295666,5.7191614354999425,5.406640766731752,5.101603017118643,4.809573007955438},
+{0.03224062343117005,0.36668448228832284,1.168858144825242,2.2952443603304453,3.515143857577974,4.650089646797644,5.5980988916745895,6.317267714322558,6.8077137990882095,7.092682064651623,7.205772442123191,7.180376416790442,7.049022143771921,6.839154305348034,6.575667197144658,6.2788567347247595,5.96532829526353,5.646585146331462,5.333532956420797,5.028788346545969,4.7376880737026905},
+{0.033562610861543336,0.37733957157440035,1.1940151449175163,2.3319057467946953,3.55595299176935,4.68747046317858,5.62615204651551,6.332362359730295,6.80831859882098,7.078872294490788,7.178592162385867,7.141364282518396,6.999960957610011,6.7819812981823215,6.512285316076776,6.211071336811353,5.8947780713708,5.574581709745049,5.261136373587402,4.9567972980574115,4.6667149837335264},
+{0.03492419601547355,0.3881684281850508,1.2193423316558591,2.368514425366636,3.596371812159406,4.724131263198856,5.6532413693928145,6.346368999157706,6.807830257010367,7.064060808904079,7.1505619219884435,7.1016925843796095,6.950456274890669,6.724593629844326,6.448916092113851,6.143513268997675,5.824648293832251,5.503163055303368,5.189457871914498,4.885631992566547,4.596651557319964},
+{0.03632604875912666,0.3991705094782935,1.2448337893220107,2.4050603920389038,3.636391254628074,4.760068516078708,5.679371560970108,6.3593011226469764,6.806269944448216,7.048273990422444,7.121710683250234,7.061391391448439,6.900537969841293,6.6670194867703225,6.385584651185518,6.076203680266441,5.754955186790059,5.4323401559950275,5.118503459508625,4.815293830222989,4.527495023923574},
+{0.037768836650112936,0.41034520886081866,1.2704835717498084,2.4415337953973917,3.6760026026930657,4.79527913343155,5.704547723861581,6.371172462817075,6.803658836791558,7.031537931100354,7.092066914698406,7.020490136680292,6.850235144402706,6.609286162016097,6.322315144281284,6.00916271565436,5.685713977118538,5.362123067404819,5.048278338804001,4.745783529353396,4.459242060184489},
+{0.039253224644958354,0.4216918566099683,1.2962857064287256,2.4779249399313645,3.71519748444099,4.829760458175272,5.728775345215761,6.381996974910275,6.800018095268266,7.013878420293094,7.061658590847507,6.979017622040983,6.799576137454789,6.5514200703503,6.259130770132801,5.942409543233798,5.61693892869674,5.292520965825961,4.978786945105033,4.677101163873526,4.391888825287451},
+{0.04077987480934057,0.43320972072788017,1.3222341985260395,2.5142242890945563,3.753967869232759,4.863510253444616,5.752060279637619,6.391788817504034,6.795368848092567,6.995320933807391,7.030513192666088,6.9370020238831716,6.748588534247812,6.493446763510754,6.196053798008725,5.8759623808091,5.548643376117382,5.223542185310412,4.9100329837909715,4.609246199213923,4.325430994758629},
+{0.042349446031273226,0.4448980078261362,1.3483230348260442,2.5504224681235197,3.7923060641979256,4.896526691519418,5.7744087324550435,6.400562333879243,6.789732172580457,6.975890624362948,6.998657708651327,6.89447089854233,6.697299176025943,6.435390945602655,6.1331055905672045,5.8098385223316,5.480839757803095,5.15519425365674,4.842019466207997,4.542217526801885,4.259863792746115},
+{0.043962593737414984,0.45675586403926893,1.374546187584878,2.5865102666195665,3.8302047105320725,4.928808342782569,5.795827243334658,6.408332034035241,6.783129077963393,6.9556123132976255,6.966118636439548,6.851451188128601,6.645734169829962,6.3772764886179685,6.070306626699644,5.74405436403496,5.413539648503557,5.08748392733819,4.774748744275349,4.476013497142189,4.195182022836065},
+{0.045619969612673554,0.46878237596551614,1.4008976182997506,2.6224786409007375,3.867656779610982,4.960354164720785,5.816322670251149,6.4151125773415405,6.775580488905903,6.9345104834459015,6.9329219848875,6.807969226494273,6.593918898467005,6.319126448055782,6.007676524293082,5.67862543029024,5.346753791149829,5.020417225376567,4.708222543833211,4.410631951538835,4.131380097455584},
+{0.047322221323267064,0.4809765716332258,1.4273712813914883,2.6583187161302146,3.9046555689347797,4.991163490980296,5.835902173813256,6.420918755815558,6.767107229738198,6.912609273117812,6.8990932765654716,6.764050745359405,6.541878030635248,6.260963078623769,5.945234062836881,5.613566399177464,5.280492128044891,4.953999462169973,4.642441996761009,4.346070252499544,4.068452065912379},
+{0.049069992243398725,0.4933374214913434,1.453961127799496,2.694021788227673,3.9411946979148182,5.021236020488868,5.854573201948896,6.425765478015377,6.7577300094185695,6.889932471104576,6.864657550609598,6.719720880580658,6.489635531191951,6.202807850001469,5.882997205802685,5.548891127768376,5.214763831372232,4.888235279284942,4.57740767189552,4.282325312864321,4.006391641120212},
+{0.05086392118569389,0.5058638394224481,1.4806611084883983,2.7295793255700573,3.977268103515626,5.050571806654799,5.872343474951109,6.429667753536115,6.747469407242464,6.866503512636994,6.829639365886358,6.675004178550525,6.437214671553454,6.144681462646525,5.820983122733515,5.4846126771128745,5.149577333007127,4.823128676225444,4.513119604778914,4.219393623698797,3.9451922250581535},
+{0.05270464213554132,0.5185546837768145,1.5074651778657508,2.7649829704882594,4.012870035763752,5.079171246652693,5.889220970885719,6.432640678097981,6.736345859315083,6.842345476223345,6.794062804427463,6.629924602715763,6.384638040215857,6.086603863625555,5.75920821098723,5.420743336919725,5.084940353618001,4.75868304019308,4.449577326267232,4.157271280992391,3.8848469330104725},
+{0.05459278398947413,0.5314087584260283,1.534367297110375,2.8002245405661967,4.047995053134942,5.107035070805235,5.905213911361108,6.434699419213606,6.7243796458033955,6.817481081295079,6.75795147509841,6.584505540205469,6.33192755338529,6.028594262451968,5.6976881170906655,5.35729464992062,5.020859931047979,4.6949011748543805,4.386779890030246,4.095954011200663,3.825348616632993},
+{0.05652897029771912,0.5444248138346939,1.561361437410992,2.8352960297487226,4.08263801783062,5.134164332069422,5.920330747659726,6.435859202421109,6.711590878980682,6.791932686590659,6.721328517468195,6.5387698085603425,6.279104465706789,5.97067114691349,5.63643775767209,5.294277435905313,4.95734244796933,4.631785328132372,4.324725898973767,4.0354371956705135,3.766689885890514},
+{0.05851381901103543,0.5576015481488104,1.5884415831149612,2.870189609264795,4.116794090954187,5.160560395635053,5.934580147230489,6.436135298067739,6.697999492073319,6.765722289210488,6.684216605851956,6.492739662555623,6.226189381080847,5.912852298872875,5.575471339950696,5.2317018154146675,4.894393658805963,4.569337219040835,4.263413530615524,3.9757158939860413,3.7088631299088175},
+{0.060547942231959084,0.5709376082994315,1.6156017347870597,2.9048976283722863,4.150458727597306,5.186224928642731,5.947970980540662,6.435543008626884,6.68362522891523,6.738871524278971,6.6466379535018865,6.44643680111113,6.173202263556863,5.855154810025841,5.514802381772059,5.169577233077891,4.832018715921563,4.5075580635804915,4.202840561445689,3.9167848662722182,3.6518605367836363},
+{0.06263194597056108,0.5844315911202399,1.64283591217836,2.9394126149307533,4.1836276718458665,5.211159890027962,5.960512308285344,6.434097656528524,6.668487634410721,6.71140166515303,6.608614316925095,6.399882374282311,6.120162448292796,5.79759509760098,5.454443731187338,5.107912480579994,4.770222195073085,4.446448599717246,4.14300439030289,3.858638594492589,3.595674112387761},
+{0.06476642990482158,0.5980820444777124,1.6701381571053409,2.973727275808426,4.216296951714913,5.235367520497384,5.972213368952196,6.431814572480693,6.652606045801417,6.683333624119918,6.570167000310007,6.3530969903267245,6.067088652570363,5.740188919986926,5.3944075855812805,5.046715719245568,4.709008120131308,4.386009111463106,4.08390206079622,3.8012713027764966,3.540295698216319},
+{0.06695198714571599,0.611887468412579,1.697502536239513,3.007834497129609,4.248462874021444,5.258850332642619,5.983083566738642,6.428709084257314,6.635999584728111,6.6546879535308845,6.531316860045587,6.306100722840804,6.013998986855336,5.682951392272927,5.334705510359913,4.9859945022253855,4.6483799870721665,4.3262394520809035,4.025530282803402,3.744676976810417,3.4857169883091315},
+{0.06918920400710293,0.6258463162913142,1.7249231438079267,3.041727344368626,4.280122019203648,5.281611101196769,5.993132459818464,6.424796505926529,6.618687150073537,6.6254848473210615,6.492084309319945,6.258913117961971,5.960910965892599,5.625897001689877,5.275348457212951,4.925755796273053,4.588340787244133,4.267139066434238,3.967885453074765,3.688849382327259,3.431929545287855},
+{0.07147865978049701,0.6399569959664279,1.75239410420499,3.0753990622963174,4.31127123609463,5.303652853437991,6.00236974895422,6.4200921274932465,6.600687411567497,6.595744142869482,6.452489322786872,6.211553201631308,5.907841519825706,5.569039622940798,5.216346781968632,4.866006003099554,4.528893029918499,4.2087070125041794,3.9109636749721366,3.6337820827265253,3.3789248155444764},
+{0.07382092651480383,0.6542178709443647,1.77990957451617,3.108843074785062,4.341907636658476,5.324978859744205,6.010805266451732,6.414611204930757,6.5820188041317635,6.565485323157125,6.412551441290742,6.164039486912266,5.854807005330969,5.512392533413519,5.157710262060147,4.806750980294896,4.470038764130777,4.150941982094501,3.8547607773712667,3.579468455857517,3.3266941436166144},
+{0.07621656880108911,0.6686272615598414,1.8074637469541854,3.1420529844781697,4.372028590696003,5.3455926243025,6.018448965452553,6.408368950578277,6.562699522938508,6.534727519184274,6.372289776641609,6.116389981360781,5.8018232167561905,5.4559684282737475,5.099448113623171,4.747996061806887,4.411779599822664,4.0938423207471315,3.7992723327556845,3.5259017099968566,3.275228785783917},
+{0.07866614356244701,0.6831834461555035,1.835050851208396,3.1750225723293806,4.401631720527301,5.36549787597638,6.025310909560001,6.401380523884519,6.542747519152913,6.503489512612065,6.331723016433746,6.0686221944423435,5.748905397254423,5.39977943544289,5.04156900824342,4.689746077968565,4.354116728295001,4.037406046889575,3.7444936745293553,3.4730748990507903,3.224519922918739},
+{0.08117019984902749,0.6978846622657947,1.8626651567081633,3.2077457970181538,4.430714895657728,5.384698559333623,6.031401262794204,6.393661022481091,6.522180496328084,6.471789738596458,6.290869428901917,6.020753144991493,5.696068249903351,5.343837130469415,4.98408108937196,4.632005375066987,4.2970509419831675,3.981630870236072,3.690419913574813,3.420980937011917,3.1745586726231894},
+{0.08372927863827745,0.7127291078039861,1.8903009748010358,3.2402167942462667,4.459276227433797,5.403198825837098,6.036730279871356,6.3852254735739455,6.501015907418445,6.439646288786031,6.2497468678107255,5.972799368709243,5.643325948801126,5.2881525513038055,4.926991988424419,4.574777834447458,4.2405826535670705,3.9265142094641083,3.637045954082821,3.369612611699173,3.1253361006835547},
+{0.08634391264044353,0.7277149422513318,1.9179526608466424,3.272429875921174,4.487314063694965,5.421003025200567,6.041308296802111,6.37608882564528,6.479270952376199,6.407076914457952,6.208372777372985,5.924776925693847,5.590692150129773,5.232736212984186,4.870308840578141,4.518066891148632,4.18471191442856,3.8720532091878397,3.584366508678952,3.3189625978090516,3.076843231871998},
+{0.08901462610938064,0.7428402878473563,1.945614616227284,3.3043795292314355,4.514826983427118,5.438115696911135,6.045145721804062,6.366265940462617,6.456962576294651,6.374099029769386,6.166764197193968,5.87670140800039,5.538180003177536,5.177598122233386,4.8140383002794005,4.461875552065208,4.129438432469703,3.8182447562498685,3.532376112871844,3.2690234693052616,3.0290710601244544},
+{0.09174193465870402,0.7581032307803157,1.973281290276223,3.3360604156194453,4.541813791423164,5.454541561919714,6.048253026522858,6.355771585395449,6.434107468061605,6.340729715104119,6.124937767238649,5.82858794722451,5.485802161311833,5.122747791959566,4.75818655647058,4.406206413636228,4.074761589305743,3.7650854953525297,3.481069138847232,3.219787711173219,2.9820105581225427},
+{0.09452634508331753,0.7735018223768984,2.0009471821247455,3.3674673696565174,4.5682735129559,5.470285514500519,6.050640737556642,6.344620426043088,6.410722059486019,6.306985720496625,6.082909732819696,5.780451222105673,5.433570792894819,5.0681942556435216,4.702759347545167,4.351061679058249,4.02068045684693,3.712571844049676,3.4304398086312373,3.1712477305649416,2.9356526863063537},
+{0.09736835518634665,0.7890340802902706,2.028606842469114,3.3985953978253334,4.594205388468027,5.485352614280378,6.052319428278129,6.332827019179821,6.386822524861423,6.27288346911806,6.040695949604174,5.732305466145254,5.381497592133825,5.013946081587824,4.64776197603661,4.296443175023767,3.9671938132837243,3.660700007119589,3.380482206645738,3.123395867359166,2.8899884013439783},
+{0.10026845361149887,0.8046979896856085,2.0562548752585674,3.4294396772145843,4.61960886828391,5.499748078438363,6.053299710948794,6.320405806025268,6.362424780930351,6.238439060810614,5.998311888637243,5.684164475234771,5.32959378985931,4.960011386996928,4.593199323045262,4.24235236798641,3.9143001584900547,3.6094659903393587,3.331190291678077,3.0762244041607163,2.8450086640826715},
+{0.10322711968086967,0.8204915044222755,2.083885939305551,3.4599955541305354,4.644483607347368,5.51347727407592,6.053592229119332,6.307371105848769,6.337544487214818,6.203668275658592,5.955772641381262,5.63604161528951,5.2778701642232555,4.906397851854106,4.539075862406158,4.188790379955402,3.861997728859381,3.5588656136805987,3.282557908286678,3.029725575762362,2.8007044470056215},
+{0.10624482323820844,0.8364125482318537,2.111494749819436,3.490258542630142,4.668829459989649,5.526545710757597,6.053207650310687,6.293737109917064,6.312197046679244,6.1685865775861695,5.913092924768929,5.587949829882882,5.226337051311307,4.853112732560479,4.485395674599112,4.135758003822767,3.810284511588488,3.508894523946063,3.2345787976636036,2.9838915780916904,2.757066741217388},
+{0.10932202449765273,0.8524590158912543,2.139076079864953,3.5202243229801695,4.692646474731342,5.538959033222043,6.052156658969761,6.279517875794057,6.286397606693472,6.133209117973328,5.870287086269055,5.539901647876762,5.175004355662264,4.800162875303066,4.432162460401533,4.083255718227581,3.759158258423849,3.4595482068661827,3.18724660797444,2.938714576664748,2.714086562980149},
+{0.1124591738979366,0.8686287743901758,2.1666247617466734,3.5498887400467196,4.7159348891218515,5.550723014262958,6.050449949693943,6.26472732200066,6.260161060265141,6.097550739282788,5.82736910896375,5.4919091910431685,5.123881560688925,4.747554729122626,4.379379554283478,4.031283701962358,3.708616498885406,3.4108219986741384,3.1405549041953367,2.894186714567466,2.6717549598221084},
+{0.11565671196207221,0.884919664092193,2.194135688320806,3.5792478016193527,4.738695124619751,5.561843547779255,6.048098220718518,6.249379223041294,6.233502047512186,6.0616259786919215,5.784352616635645,5.443984181672592,5.072977738994525,4.695294358657028,4.327049937543897,3.9798418479273376,3.6586565529824555,3.3627110971775664,3.0944971774663905,2.8503001199851803,2.6300630162384597},
+{0.11891506916250343,0.9013294998888128,2.2216038142357024,3.608297676673992,4.76092778151724,5.572326641993759,6.0451121676610935,6.233487204802026,6.20643495734819,6.025449071724742,5.741250878863972,5.396137950164487,5.0223015625795195,4.643387456541809,4.27517625118653,3.928929776639147,3.6092755434362838,3.3152105723445904,3.0490668539801056,2.8070469132998728,2.589001859004644},
+{0.12223466579172167,0.9178560723458382,2.2490241571023795,3.6370346935785385,4.7826336339115105,5.582178412839358,6.041502477516915,6.217064740323239,6.178973929354797,5.989033955879904,5.698076816128082,5.348381442595269,4.971861312933636,4.591839355455616,4.2237608085336165,3.8785468493007214,3.5604704074238818,3.2683153764212647,3.0042573034229405,2.7644192137740218,2.5485626621206867},
+{0.12561591183833418,0.9344971488414241,2.2763917985964697,3.665455338245113,4.8038136247258345,5.591405077511539,6.037279822898924,6.200125145947707,6.151132855817368,5.952394274251486,5.654843004917075,5.3007252282595,4.921664891008539,4.540655039804294,4.17280560757547,3.8286921804399903,3.5122379078570045,3.2220203535971477,2.9600618469875366,2.7224091458393187,2.5087366514047624},
+{0.12905920686856934,0.9512504746952427,2.3037018854929667,3.6935562522326744,4.824468860782858,5.600012948186026,6.032454856515911,6.182681577842763,6.122925383901779,5.915543379140064,5.611561682844122,5.253179507179807,4.871719827066826,4.489839157042829,4.122312343053992,3.779364650125151,3.4645746442105505,3.1763202492351863,2.9164737649726264,2.6810088450078307,2.469515108753324},
+{0.13256493991320004,0.9681137742881842,2.33094963063518,3.7213342308036386,4.8446006079324135,5.608008425900094,6.027038205881579,6.164747028892956,6.09436491795202,5.878494335652055,5.568244753763956,5.20575411758132,4.822033290403283,4.439396028639236,4.0722824182782285,3.730562915764761,3.417477062914103,3.131209718681608,2.8734863039870504,2.640210463422554,2.430889376084421},
+{0.1361334893598638,0.9850847521720697,2.358130313839309,3.7487862209380296,4.864210286236067,5.615397994596038,6.021040468246436,6.146334325957647,6.065464621889918,5.841259925285972,5.524903792892028,5.158458543326468,4.772612098934818,4.389329660688517,4.022716956670343,3.682285423501161,3.370941467320245,3.0866833356711187,2.831092683773896,2.6000061750636667,2.392850858980193},
+{0.13976522285075357,1.0021610941688608,2.385239282736043,3.7759093193085613,4.883299465210307,5.622188215325155,6.014472205743527,6.127456127485801,6.03623742170008,5.803852649504501,5.481550051923667,5.111301921306084,4.7234627286557,4.3396437541880655,3.9736168130406107,3.634530419205979,3.3249640272630603,3.0427356003421564,2.789286103670138,2.5603881806261968,2.3553910300437564},
+{0.14346049718565063,1.0193404684588896,2.4122719535506243,3.8027007702199342,4.901869859130229,5.628385720610446,6.00734394073796,6.108124921478509,6.006696007984581,5.766284733291765,5.438194464151569,5.064293048782921,4.67459132295514,4.290341714988258,3.924982584590327,3.5872959590866684,3.279540788220081,2.999360946876594,2.7480597487167606,2.5213487120842077,2.318501431985159},
+{0.14721965823026886,1.0366205266576523,2.4392238118228002,3.8291579635155286,4.919923322395364,5.633997208966276,5.999666151369377,6.088353023788069,5.976852838573612,5.72856812869539,5.394847649579905,5.017440390683821,4.626003701794598,4.2414266634336295,3.8768146216419885,3.540579919913205,3.2346676800906615,2.956553750777813,2.7074067954338012,2.4828800369560557,2.2821736804503607},
+{0.15104304082987416,1.0539989048807323,2.46609041306808,3.8552784324545417,4.937461844959123,5.639029439572929,5.9914492672758835,6.068152576740984,5.94672014117958,5.690714518353191,5.351519920033164,4.970752086836829,4.577705370742496,4.192901443710935,3.829113038096355,3.494380008874123,3.1903405256035926,2.914308335800619,2.6673204172742784,2.4449744622846703,2.2463994666066527},
+{0.15493096872814288,1.071473224796462,2.4928673833817574,3.881059851562552,4.9544875478232715,5.643489227104178,5.982703665487797,6.047535548071045,5.916309916083655,5.65273531900455,5.308221284257989,4.924235959149869,4.529701529864387,4.144768632920779,3.781877721616548,3.4486937730712253,3.146555048366511,2.8726189805461257,2.6277937897705335,2.407624338346323,2.2111705594973277},
+{0.15888375449121872,1.0890410946659168,2.5195504199870826,3.906500034458311,4.971002678598569,5.647383436705671,5.973439666479742,6.0265137301475615,5.885633938844878,5.614641684986563,5.264961453015985,4.877899518727521,4.481997082466886,4.097030549889303,3.735108343539663,3.4035186086622504,3.1033068805693764,2.831479924734267,2.588820095385997,2.3708220621007547,2.1764788081778303},
+{0.16290169943692406,1.1067001103699126,2.5461352917290716,3.931596931659554,4.987009607132732,5.650718979122042,5.963667530370327,6.005098739483127,5.854703763023252,5.57644451171531,5.221749844165658,4.831749972922813,4.434596643693987,4.049689263735887,3.6888043685168475,3.3588517696608844,3.060591570354068,2.7908853751662477,2.5503925280850166,2.334560080395091,2.1423161436451053},
+{0.16698509356908234,1.1244478564226457,2.572617839515323,3.956348628370404,5.002510821206593,5.653502805970521,5.953397453259711,5.983302016504599,5.823530722909235,5.538154439152456,5.178595587731457,4.785794232320916,4.387504548974614,4.002746602211963,3.6429650638831674,3.3146903764033877,3.0184045888618,2.750829511388845,2.512504297632861,2.298830892933409,2.108674580571324},
+{0.17113421551690297,1.1422819069716874,2.598993976705319,3.9807533422529753,5.017508922299414,5.6557419051587905,5.942639563696786,5.961134825570725,5.792125936253136,5.499781855257666,5.135507530957968,4.74003891765192,4.340724862320859,3.9562041598249866,3.597589508759057,3.2710314236911806,2.976741336969816,2.711306491072104,2.4751486336376773,2.2636270550234063,2.075546218852677},
+{0.17534933247937737,1.1601998267840177,2.6252596894495857,4.0048094211855245,5.032006621423893,5.657443296444736,5.931403919269262,5.938608255219485,5.760500306988744,5.461336899427035,5.0924942433472085,4.694490366629944,4.294261384477234,3.910063305760372,3.552676602885417,3.227871788618541,2.9355971517284623,2.6723104551116093,2.4383187893456753,2.2289411801110943,2.042923244983405},
+{0.17963070017463673,1.1781991722178498,2.651411036980158,4.028515341009564,5.046006735031664,5.658614027135841,5.9197005033118915,5.915733218628364,5.728664527946467,5.422829465918067,5.049564021677069,4.6491546407160484,4.24811766092355,3.864325191612964,3.5082250751949333,3.185208238094597,2.894967312509455,2.633835532466168,2.4020080452004655,2.1947659421140386,2.010797933264841},
+{0.18397856279421498,1.1962774921799872,2.677444151853761,4.051869703268133,5.059512180989661,5.6592611679257425,5.907539221729676,5.892520454270821,5.696629083551935,5.38426920726142,5.006724894998837,4.604037531802541,4.202296989736756,3.8189907589382424,3.4642334921224167,3.1430374360686293,2.8548470468758325,2.595875844741397,2.366209712177067,2.1610940775632175,1.979162646858718},
+{0.18839315296216164,1.2144323290684778,2.703355240149078,4.07487123293736,5.07252597462779,5.659391808865602,5.894929899934786,5.868980526752446,5.664404252506707,5.345665537659732,4.963984629611798,4.559144568816441,4.156802429320252,3.774060746632225,3.420700265657326,3.1013559504675845,2.815231536183739,2.558425510529332,2.330917134900679,2.127918387563121,1.9480098386936135},
+{0.1928746916989477,1.2326612197003737,2.7291405816195424,4.09751877615343,5.085051224858255,5.6590130554678675,5.881882279897504,5.845123827810801,5.63200011044847,5.307027636373856,4.921350734013012,4.514481024240066,4.111636806011469,3.7295356981478016,3.377623661141996,3.0601602598546167,2.7761159209259234,2.5214786495139285,2.29612369456001,2.095231739579373,1.917332052232987},
+{0.19742338839010204,1.2509616962243872,2.754796529803004,4.119811297936858,5.0970911303666995,5.658132024939913,5.868406017312804,5.820960577463313,5.599426532588412,5.268364451096597,4.878830463820153,4.470051920546757,4.06680272157883,3.6854159685539805,3.3350018048192203,3.0194467598172197,2.7374953058264584,2.485029386351886,2.2618228116245005,2.063027069062686,1.8871219221128415},
+{0.2020394407595202,1.2693312870182825,2.7803195120896573,4.141747879915981,5.108648975875357,5.656755842545187,5.854510678885484,5.7965008252882075,5.566693196324246,5.229684701314171,4.8364308266655955,4.425862036550049,4.022302560617678,3.641701731443582,3.2928326911332353,2.9792117690934505,2.699364764695933,2.4490718543380305,2.2280079483744983,2.031297380917661,1.8573721746567},
+{0.2067230348473808,1.2877675175708447,2.8057060297495946,4.163327718051476,5.1197281284782274,5.654891638089313,5.840205739737554,5.771754451824174,5.533809583827527,5.190996881655443,4.79415858705981,4.3819159136646455,3.97813849785124,3.5983929856938808,3.2511141897882774,2.939451535444497,2.661719345056042,2.4136001988640796,2.1946726112530595,2.000035750824511,1.8280756282752109},
+{0.21147434499260528,1.3062679113482898,2.8309526579213133,4.184550120363573,5.130332034048288,5.652546542528703,5.825500580942186,5.746731170074963,5.500784984604445,5.152309265228911,4.752020271222155,4.338217862077777,3.9343125053378087,3.5554895620838045,3.2098440525691014,2.9001622412816865,2.6245540725422103,2.378608580679387,2.1618103530477186,1.9692353264214906,1.7992251937573192},
+{0.21629353381979569,1.3248299906449903,2.856056045562515,4.205414504663639,5.140464213716616,5.649727684699195,5.8104044871889355,5.721440527106077,5.467628498029515,5.113629906947453,4.710022171877306,4.2947719668296225,3.8908263595803065,3.5129911297706475,3.1690199199280333,2.8613400090558674,2.587863955092603,2.3440911789619117,2.129414774910259,1.9388893283554347,1.7708138744596595},
+{0.22118075223058417,1.3434512774184229,2.8810129153645065,4.225920396291666,5.150128260423325,5.6464421881622195,5.794926644584965,5.6958919057213,5.434349035851937,5.07496664684065,4.668170353015531,4.2515820938017255,3.8476816485293974,3.47089720262853,3.1286393273432624,2.8229809064169498,2.551643986931622,2.3100421942074356,2.0974795282221876,1.9089910512075117,1.7428347664004635},
+{0.2261361393993247,1.3621292941082337,2.9058200636314915,4.246067425861144,5.15932783554003,5.642697168166055,5.77907613859686,5.670094526207638,5.400955324674553,5.0363271133545435,4.626470654615088,4.208651895612408,3.804879778467417,3.429207145450334,3.088699711453198,2.7850809511511887,2.515889152355673,2.2764558509447017,2.0659983163133115,1.8795338643009707,1.7152810582639864},
+{0.23115982277305855,1.3808615644393576,2.930474360126005,4.265855327012721,5.1680666655635825,5.638499728719614,5.76286195213727,5.644057448138051,5.367455908405604,4.997718726638531,4.584928697325078,4.165984817418387,3.7624219807577344,3.3879201800143868,3.0491984159718326,2.747636115903685,2.480594429328767,2.2433264002839364,2.0349648960405355,1.8505112123973528,1.688146031321158},
+{0.23625191807568421,1.3996456142091362,2.9549727478817758,4.28528393417801,5.176348538880785,5.633856959776417,5.746292963800129,5.617789572222127,5.333859150683641,4.9591487018191645,4.543549887107195,4.123584102622003,3.720309318442951,3.3470353910168607,3.010132697390128,2.7106423326934452,2.4457547928952903,2.210648122305942,2.004373079233699,1.8219166162873814,1.661423059271902},
+{0.24141252931625862,1.4184789720583693,2.9793122429851793,4.304353180354759,5.184177302603615,5.628775934526194,5.729377946247425,5.591299642195488,5.300173237276011,4.920624052260394,4.502339419834794,4.08145279848348,3.678542692675324,3.306551731870507,2.9714997304684903,2.6740954972281337,2.411365218416956,2.178415328298663,1.9742167340149888,1.7937436732824046,1.635105608014257},
+{0.2466417488013595,1.4373591702262876,3.0034899343265433,4.323063094894629,5.191556859474589,5.623263706791735,5.71212556474987,5.564596246739727,5.266406178451584,4.882151592809909,4.461302285847811,4.039593761637926,3.637122848964246,3.2664680303702096,2.9332966135254543,2.6379914730255654,2.3774206846408106,2.146622362847908,1.9444897859982078,1.7659860576120672,1.6091872353452181},
+{0.2519396571514355,1.45628374528942,3.027502983322418,4.341413801304687,5.1984911648417285,5.617327308528551,5.6945443758829155,5.537687821425093,5.23256581132831,4.843737943031079,4.420443274462168,3.99800966351676,3.596050383227659,3.226782994225706,2.8955203735277517,2.6023260953488014,2.3439161766048735,2.1152636057886873,1.9151862193739322,1.7386375207335771,1.583661590597955},
+{0.2573063233210707,1.4752502388843456,3.0513486236100062,4.359405515063698,5.204984223702674,5.610973747424963,5.676642826378642,5.510582650669108,5.198659802196411,4.805389530420007,4.379766978432313,3.956702995673446,3.5553257476371676,3.1874952164617194,2.8581679709869006,2.567095174961567,2.3108466883878207,2.0843334740233477,1.8863000778863115,1.7116918915577164,1.5585224142198197},
+{0.26274180462308927,1.4942561984143377,3.0750241607148183,4.377038541454203,5.211040087817277,5.604210004600189,5.658429252133263,5.4832888697047775,5.164695648817941,4.767112593607103,4.339277798365599,3.9156760750134008,3.5149492562497042,3.148603180685726,2.821236304667477,2.532294501710493,2.2782072257088535,2.053826423212483,1.8578254657070414,1.685143076596486,1.5337635372953449},
+{0.26824614675642683,1.5132991777399154,3.0985269716926975,4.394313273411354,5.216662852888167,5.597043032398127,5.639911877369028,5.4558144665528205,5.130680682703522,4.72891318554263,4.298979947087369,3.874931048928151,3.4749210904219425,3.1101052662236293,2.7847222161122374,2.4979198479406004,2.2459928083837504,2.0237369493443937,1.8297565482118159,1.6589850600370681,1.5093788810182127},
+{0.2738193838376915,1.5323767378533357,3.1218545047472315,4.411230189389402,5.221856655808577,5.589479752274448,5.621098813948493,5.428167283992875,5.096622071367092,4.690797176665609,4.258877453955597,3.8344699003337137,3.4352413040066954,3.071999753123608,2.7486224939891946,2.4639669717501795,2.2141984726428534,1.994059590188622,1.802087552664322,1.6332119037465564,1.4853624561159693},
+{0.27946153843634214,1.5514864475370593,3.145004278823614,4.427789851246639,5.226625671976814,5.581527052774739,5.601998060838313,5.400355021529273,5.062526820559461,4.652770258055412,4.2189741691240386,3.794294452613364,3.3959098283335716,3.034284827028529,2.7129338782657304,2.430431620091081,2.1828192733165777,1.9647889266389063,1.7748127688126412,1.6078177472117015,1.461708362231072},
+{0.28517262161340456,1.5706258840062313,3.167973883179938,4.443992902149638,5.230974112676621,5.573191787601336,5.582617503718935,5.372385237347417,5.0284017764814735,4.614837944565392,4.179273767752929,3.754406374464933,3.356926476978628,2.996958583917361,2.6776530642147978,2.3973095317202384,2.1518502858938113,1.935919583950689,1.747926549402693,1.5827968074177097,1.4384107872616458},
+{0.2909526329636536,1.5897926335352526,3.1907609769369336,4.459840064497464,5.234906222522748,5.564480773766639,5.562964914735993,5.344265350257408,4.994253627977602,4.577005577937888,4.13977975416633,3.714807184652867,3.318290950329972,2.9600190347161974,2.6427767062581893,2.3645964400080635,2.1212866084584454,1.9074462328781172,1.7214233106131873,1.5581433786699626,1.4154640066651831},
+{0.2968015606611806,1.60898429206849,3.2133632886070562,4.475332137866561,5.238426276970944,5.555400789830559,5.543047952388407,5.31600264162193,4.960088908710653,4.539278329899876,4.100495465955264,3.6754982566652767,3.2800028399579446,2.923464109779556,2.6083014216517757,2.3322880756091493,2.0911233635090243,1.8793635907152613,1.6952975324163226,1.5338518323623043,1.392862382728211},
+{0.30271938150827526,1.6281984658152218,3.2357786156039134,4.490469996976998,5.2415385798916345,5.545958574219805,5.522874161547929,5.287604257265942,4.925913999318417,4.501661205238613,4.061424078025954,3.636480823276365,3.2420616327998686,2.8872916632428303,2.574223794017613,2.30038016900058,2.0613556996664215,1.8516664222461658,1.6695437588683182,1.50991661669541,1.3706003638048294},
+{0.3087060609875388,1.6474327718288724,3.258004823732843,4.505254589680559,5.244247461206419,5.5361608236264095,5.502450973604095,5.259077209365956,4.8917351295528,4.464159044856487,4.022568606592368,3.5977559810145188,3.2044667151700925,2.8514994772468025,2.5405403767276264,2.268868452892881,2.0319787932741824,1.8243495406080508,1.644156598333643,1.4863322563485328,1.3486724835268167},
+{0.3147615533171593,1.666684838570672,3.2800398466636143,4.519686934971341,5.246557274586667,5.5260141914829495,5.4817857067285365,5.23042837831724,4.8575583804022555,4.4267765288044645,3.9839319131125737,3.5593246945365746,3.167217376606752,2.816085266035392,2.5072476961436454,2.237748664518587,2.0029878498961184,1.7974078080719338,1.6191307236466979,1.463093352107815,1.3270733599879068},
+{0.3208858015092655,1.6859523064577908,3.3018816853860113,4.533768121019254,5.248472395213285,5.515525286511307,5.460885566251954,5.20166451457745,4.823389686197927,4.389518179293327,3.945516708168247,3.5211878009086823,3.130312813566632,2.781046679927822,2.4743422547183247,2.2070165478030916,1.97437810571549,1.7708361367446763,1.5944608722144629,1.4401945804541443,1.3057976949046552},
+{0.3270787374312895,1.7052328283961038,3.3235284076491833,4.547499303226978,5.249997217596882,5.504700671341798,5.439757645147191,5.172792240485608,4.789234836704217,4.352388363682072,3.907325555286959,3.4833460137943795,3.0937521329796054,2.7463813091666243,2.441820533961528,2.176667855422427,1.9461448288400267,1.7446294891963663,1.5701418460635366,1.4176306931134306,1.284840272756212},
+{0.33334028187025727,1.724524070297666,3.3449781473855316,4.560881702310725,5.251136153457437,5.493546861198885,5.418408924611339,5.143818052055513,4.75509947919417,4.315391297442738,3.869360874706756,3.4457999275504276,3.057534355673632,2.712086687642962,2.409678997276546,2.1466983507523034,1.9182833205168381,1.7187828790167328,1.546168511834793,1.3953965165719997,1.2641959599051544},
+{0.33967034459993223,1.7438237115830308,3.366229104119913,4.573916602405241,5.25189362966258,5.482070322649578,5.396846274740096,5.114748320743013,4.720989120510173,4.278531047100971,3.831624947082769,3.408550021231137,3.021658419680884,2.6781602965009026,2.377914092670478,2.1171038097127273,1.8907889162611669,1.6932913713041917,1.5225358007287488,1.3734869515596981,1.2438597037014483},
+{0.34606882445073683,1.763129445668544,3.387279542364921,4.586605349193344,5.252274086223651,5.470277472410212,5.375076455287229,5.085589295186706,4.686909129110356,4.241811533151685,3.7941199171355637,3.3715966625018776,2.9861231834348914,2.6445995676223806,2.3465222553429665,2.0878800225122505,1.8636569869027446,1.6681500830909315,1.4992387084046004,1.3518969725031393,1.2238265315714647},
+{0.3525356093823777,1.7824389804387395,3.4081277910029817,4.59894934806038,5.25228197434861,5.458174676207322,5.353106116502352,5.0563471029218805,4.652864737101083,4.20523653294914,3.756847797241096,3.3349401114626276,2.9509274288678418,2.6114018869947118,2.3154999101573925,2.05902279529584,1.8368829395534323,1.64335418370734,1.4762722948357532,1.3306216269514377,1.2040915500938763},
+{0.3590705765590936,1.8017500387039709,3.4287722426559517,4.610950062273799,5.251921754550899,5.445768247688181,5.3309418000400575,5.0270277520676405,4.618861042255788,4.1688096835708,3.719810470962113,3.298580524382358,2.9160698644163747,2.578564597962572,2.2848434739984955,2.0305279517001544,1.8104622184996217,1.6188988950889036,1.4536316841245123,1.3096560349766082,1.1846499440641511},
+{0.3656735924274595,1.82106035864344,3.4492113530429465,4.622609011188156,5.2511978948133775,5.433064447376805,5.308589939933771,4.997637132987317,4.5849030100204615,4.132534484654363,3.683009696521007,3.26251795734524,2.8815491279434067,2.5460850043665113,2.2545493580203315,2.0023913343199333,1.7843903060228243,1.5947794920286125,1.4313120642785258,1.288995388550742,1.1654969755492637},
+{0.372344512796664,1.8403676942337464,3.4694436403270377,4.633927768475709,5.250114868806378,5.420069481671456,5.286056863627726,4.968181019922424,4.550995475505995,4.096414301207339,3.6464471102141025,3.226752369809598,2.8473637895826474,2.5139603735700864,2.22461396978835,1.9746088060890303,1.7586627231516712,1.5709913023777549,1.4093086869513989,1.2686349509019366,1.1466279829341441},
+{0.37908318292119236,1.8596698156631324,3.489467684451489,4.644907960382838,5.248677154159018,5.406789501880163,5.263348793060782,4.938665072600475,4.517143145467534,4.06045236638864,3.610124229767441,3.191283628080679,2.8135123545116927,2.4821879393778077,2.1950337153193127,1.9471762515795241,1.7332750303484818,1.5475297071978606,1.3876168671498166,1.2485700558508452,1.1280383799612939},
+{0.3858894375858379,1.8789645097315704,3.5092821264661733,4.655551264012413,5.24688923078281,5.393230603291127,5.240471845795958,4.909094837817129,4.483350600271016,4.024651784261591,3.574042457634197,3.1561115086982974,2.7799932656587685,2.4507649048461606,2.1658050010226924,1.9200895782222225,1.7082228281334189,1.5243901408664688,1.3662319829094136,1.228796107129651,1.109723654764921},
+{0.39276310119296853,1.8982495802368524,3.5288856678447766,4.665859405632246,5.244755579246682,5.379398824275689,5.217432036189848,4.879475750993148,4.449622295846957,3.989015532517857,3.538203084233808,3.1212357017404995,2.7468049063474846,2.419688444989962,2.136924235547077,1.8933447174517304,1.683501757649131,1.5015680911392209,1.3451494749414685,1.2093085776851196,1.0916793689008482},
+{0.3997039878519785,1.9175228483468583,3.548277069793385,4.675834159009758,5.24228067920246,5.365300145421975,5.1942352765963715,4.849813137706783,4.415962565631556,3.953546465171783,3.502607291133044,3.0866558140445655,2.7139456028832534,2.388955709386431,2.108387831535087,1.8669376257791785,1.6591075011686813,1.4790590991707422,1.3243648462524666,1.190103008967353,1.0739011563733816},
+{0.40671190147084973,1.9367821529581533,3.5674551525510667,4.685477343772883,5.239469007859918,5.350940488698116,5.170887378599534,4.820112215202181,4.382375622495143,3.9182473152246544,3.4672561541691533,3.0523713723469985,2.681413627084413,2.358563824679322,2.0801922072901693,1.8408642857955764,1.6350357825494446,1.4568587594966023,1.303873661738431,1.1711750102057252,1.0563847226602563},
+{0.41378663584975367,1.9560253510411028,3.5864187946829897,4.694790823797343,5.236325038510484,5.336325716644544,5.147394054270314,4.790378093874549,4.34886556065797,3.8831206972984695,3.432150646515339,3.018381826345105,2.6492071987605352,2.3285098969855422,2.0523337883586064,1.815120707108663,1.6112823676355728,1.4349627199786,1.2836715477558538,1.1525202576734528,1.0391258437366862},
+{0.42092797477662236,1.9752503179716756,3.6051669323666444,4.7037765056202465,5.232853239098648,5.32146163159545,5.123760917442883,4.760615778732665,4.315436357593309,3.8481691102387523,3.397291641688776,2.984686551684042,2.617324488139877,2.2987910142066665,2.0248090090299455,1.789702927216023,1.587843064611505,1.4133666817154797,1.2637541916709543,1.134134493942123,1.0221203650995052},
+{0.4281356921246165,1.994454947850103,3.62369855867172,4.71243633688009,5.229058070840222,5.306353974930122,5.09999348500591,4.730830170839625,4.282091875917785,3.8133949396860736,3.3626799165014134,2.951284852874917,2.5857636182475217,2.269404248247788,1.9976143137590157,1.7646070123171387,1.564713724308911,1.3920663989211186,1.2441173413889228,1.1160135271274685,1.0053642007922954},
+{0.4354095519514241,2.0136371538065845,3.6420127228341204,4.7207723047831,5.224943986886459,5.291008426355258,5.076097178204759,4.701026068732376,4.248835865268869,3.7788004606158587,3.3283161539538346,2.9181759661508697,2.5545226672353305,2.2403466571461395,1.970746158512552,1.7398290580669624,1.5418902404693757,1.3710576787721105,1.224756804864704,1.0981532301275752,0.9888533324323608},
+{0.4427493086003167,2.0327948682942196,3.660108529524696,4.7287864345959285,5.220515431033229,5.2754306032198715,5.052077323950977,4.671208169820931,4.215671964169426,3.7443878398462043,3.294200946072476,2.885359062268888,2.5235996706645643,2.211615287111942,1.9442010120434263,1.7153651902734952,1.519368549965019,1.3503363812266203,1.2056684495968302,1.0805495398546716,0.9725838082403363},
+{0.4501547068029002,2.0519260433693525,3.677985138113135,4.7364807881646405,5.215776836474271,5.259626059864645,5.027939156135449,4.641381071767912,4.182603701879189,3.710159138513355,3.2603347966904876,2.8528332492647883,2.4929926237417015,2.183207174483902,1.9179753570953195,1.6912115655417765,1.4971446329791829,1.3298984188162541,1.1868482021056956,1.063198456461548,0.9565517420731628},
+{0.45762548178348655,2.0710286509594993,3.6956417619275164,4.743857462459904,5.210732624597657,5.243600287007823,5.003687816942151,4.6115492738492,4.149634500232997,3.6761163145145854,3.2267181241725726,2.820597575167528,2.46269948350778,2.1551193476017767,1.8920656915406255,1.667364371866601,1.4752145131492138,1.3097397564126525,1.1682920473976384,1.0460960425636276,0.9407533124611236},
+{0.46516135936502556,2.090100683119072,3.7130776675100137,4.75091858814836,5.205387203824595,5.227358711169915,4.97932835815957,4.5817171782964,4.116767675465671,3.6422612249182453,3.193351264084157,2.7886510306768897,2.4327181709814276,2.127348828598436,1.866468529454261,1.6438198291761992,1.453574257673297,1.289856410970409,1.1499960284160897,1.0292384224576299,0.9251847616495723},
+{0.47276205607652577,2.109140152273073,3.730292173869188,4.757666328190022,5.1997449684896635,5.210906694139519,4.954865742487193,4.551889091621823,4.084006440023336,3.6085956283407277,3.1602344718052757,2.756992551805894,2.403046573255588,2.09989263511378,1.8411804021259606,1.6205741898290411,1.432219977383216,1.270244451247858,1.1319562454810042,1.012621781337707,0.9098423946459471},
+{0.4804272792619021,2.1281450914489333,3.747284651729321,4.764102876461599,5.193810297761622,5.194249532482503,4.930304844834651,4.522069225926679,4.051353904360976,3.5751211872901747,3.127367925089546,2.725621022486501,2.3736825455478368,2.072747781932885,1.8161978590135537,1.5976237390658332,1.41114782678484,1.2508999975071933,1.1141688557177263,0.996242364509908,0.8947225782726127},
+{0.4881567271901863,2.147113554496733,3.7640545227772555,4.770230456405669,5.187587554603925,5.177392457096789,4.905650453611474,4.492261700193162,4.018813078726114,3.5418394704767855,3.0947517265686955,2.694535277134591,2.344623913204158,2.0459112825507195,1.7915174686396182,1.5749647954187307,1.3903540040680664,1.231819221195324,1.0966300724763696,0.9800964766057424,0.8798217402260432},
+{0.4959500891670331,2.166043616297939,3.7806012589071045,4.776051319705485,5.181081084774088,5.1603406328147186,4.880907272005544,4.462470541561043,3.9863868749283102,3.5087519550895294,3.0623859062030645,2.6637341031680517,2.315868473655947,2.019380150665712,1.7671358194338178,1.5525937110796768,1.3698347510878612,1.212998344606797,1.0793361647427457,0.964180480795585,0.865136368142804},
+{0.503807045647464,2.1849333729629024,3.796924381463331,4.781567744985346,5.174295215861045,5.143099158054911,4.856079919248586,4.432699686589407,3.95407810809436,3.475860029039236,3.030270423678599,2.633216243470357,2.2874139983300426,1.9931514016044587,1.743049520523151,1.5305068722297588,1.3495863533180017,1.1944336405300628,1.0622834565418215,0.9484907980026184,0.8506630086727714},
+{0.5117272683497828,2.2037809420172696,3.8130234604824986,4.786782036536276,5.1672342563596665,5.125673064525091,4.831172931867277,4.402952982504118,3.921889498408926,3.443164993167892,2.9984051707508046,2.6029803987911437,2.2592582345115373,1.9672220536797658,1.7192552024722418,1.5087006993313383,1.3296051397790198,1.176121431878287,1.0454683263346178,0.9330239061179472,0.8363982665599684},
+{0.5197104203706034,2.2225844625775326,3.8288981139341725,4.791696523066931,5.159902494781596,5.108067316977303,4.806190764918714,4.373234188431567,3.8898236728404174,3.4106680634241786,2.9667899735362298,2.5730252300752534,2.231398907159207,1.9415891294842595,1.695749517975727,1.487171647384723,1.309887482941822,1.1580580913058738,1.028887206409435,0.9177763392175047,0.8223388037313952},
+{0.5277561563009309,2.2413420955158827,3.844548006961305,4.796313556479492,5.1523041988016,5.090286813016471,4.781137793209191,4.343546976619238,3.8578831668519062,3.3783703730051786,2.9354245947520377,2.54334936071211,2.2038337206733374,1.9162496571216765,1.6725291425047226,1.465916206151024,1.2904297986083593,1.14024004081179,1.0125365822682253,0.9027446867813074,0.8084813383941696},
+{0.535864122343233,2.260052023614593,3.859972851120476,4.800635510670345,5.144443614438601,5.072336382962977,4.756018312495375,4.313894933643601,3.8260704260968383,3.346272974464272,2.904308735904245,2.513951378698259,2.176560360615863,1.8912006713779532,1.6495907749092682,1.4449309003427977,1.2712285457707027,1.1226637513307438,0.9964129920088921,0.8879255929155931,0.7948226441412837},
+{0.5440339564294492,2.278712451710093,3.875172403622369,4.8046647803553935,5.136324965270602,5.054220789769695,4.730836540667194,4.2842815616057885,3.7943878080993696,3.314376841785281,2.8734420394252376,2.484829838707219,2.149576495382716,1.866439214834174,1.6269311379785734,1.424212289784041,1.2522802264497814,1.1053257423132077,0.9805130257042584,0.8733157555783265,0.7813595490662473},
+{0.5522652883398721,2.2973216068269493,3.8901464665728067,4.808403779919726,5.1279524516827,5.035944728993488,4.70559661891179,4.2547102793155025,3.7628375839190684,3.282682872422914,2.84282409076122,2.45598326406227,2.1228797778283623,1.8419623389233815,1.6045469789608306,1.4037569695409968,1.2335813855150168,1.0882225812952355,0.9648333247783923,0.858911925808539,0.7680889348868601},
+{0.5605577398228528,2.3158777383019404,3.9048948862147026,4.811854942291489,5.119330250147417,5.017512828820924,4.680302612858156,4.225184423463573,3.731421939799831,3.251191889309611,2.8124544204102317,2.427410148609452,2.0964678468426006,1.817767104933212,1.5824350700442869,1.3835615700252197,1.215128610486021,1.0713508834589742,0.9493705813809571,0.8447109069599273,0.755007736078338},
+{0.5689109247152679,2.3343791178984095,3.9194175521712444,4.815020717839655,5.110462512536569,4.998929650147639,4.654958513702078,4.195707249783521,3.700142978802753,3.2199046428289115,2.782332505911415,2.399108958489653,2.070338328879687,1.7938505849562516,1.560592208801195,1.3636227570702713,1.1969185313174664,1.0547073111847203,0.9341215377601836,0.830709553939096,0.7421129390159801},
+{0.5773244490636978,2.3528240399111136,3.933714396690639,4.81790357329555,5.101353365463926,4.98019968671054,4.62956823931121,4.16628193420253,3.6690027224228214,3.1888218127554953,2.7524577737862366,2.371078133810221,2.0444888394400054,1.77020986278998,1.5390152185962358,1.3439372319833665,1.17894782016821,1.0382885735953484,0.91908298563508,0.8169047724488314,0.7294015811275683},
+{0.5857979112462582,2.3712108212617165,3.94778539389271,4.820505990697786,5.092006909657878,4.961327365271664,4.604135635310133,4.1369115739820925,3.638003112189166,3.157944010162029,2.7228296014323585,2.3433160902178916,2.018916984504491,1.7468420347880738,1.5177009489608875,1.324501731573241,1.1612131911556798,1.0220914260938636,0.9042517655673884,0.8032935182367235,0.7168707500556296},
+{0.5943309020950365,2.389537801585164,3.961630559017662,4.822830466360467,5.08242721936341,4.942317045852397,4.578664476145412,4.107599188848667,3.607146011248762,3.1272717792930047,2.6934473189708865,2.315821220376109,1.9936203619221362,1.723744210664835,1.496646275935227,1.3053130281554586,1.1437114000965043,1.0061126698948304,0.8896247663338347,0.7898727963494615,0.7045175828297158},
+{0.6029230050190761,2.4078033433070996,3.9752499476772867,4.824879509864309,5.0726183417726345,4.92317302201642,4.553158466130673,4.078347722114602,3.5764332059333386,3.096805599405763,2.664310211047729,2.2885918953507858,1.9685965627509474,1.7009135142544285,1.475848102378549,1.2863679295363308,1.1264392442343119,0.9903491515503606,0.8751989242991366,0.77663966039309,0.6923392650488054},
+{0.611573796127863,2.4260058317125224,3.9886436551089104,4.826655643070511,5.062584296483164,4.903899521199649,4.527621240471902,4.049160041789593,3.5458664073093873,3.066545886578869,2.635417518589821,2.261626465909385,1.9438431725527912,1.6783470842265995,1.4553033582501542,1.2676632789765727,1.1093935619555977,0.9747977624713227,0.860971222790234,0.7635912117994833,0.6803330300739232},
+{0.6202828443552579,2.444143675005871,4.001811815432309,4.82816139915704,5.052329074983618,4.884500705085144,4.502056366273069,4.020038941682855,3.5154472527110587,3.036492995488046,2.6067684405169578,2.234923263738806,1.919357772642613,1.6560420747604663,1.4350090008616119,1.249195955135766,1.0925712324944936,0.9594554384444057,0.8469386914721603,0.7507245990992886,0.6684961582310691},
+{0.6290497115838308,2.4622153043627253,4.01475460090992,4.829399321677105,5.041856640165589,4.8649806700209695,4.476467343522431,3.990987142496253,3.485177307255836,3.0066472211498807,2.5783621354099853,2.2084806025879606,1.895137941292609,1.6339956561779798,1.4149620151017464,1.2309628719986756,1.075969175627262,0.944319159145621,0.8330984057259586,0.7380370172015528,0.6568259760245134},
+{0.6378739527695452,2.480219173973303,4.027472221210512,4.830371963639551,5.0311709258613435,4.845343447478694,4.450857606059754,3.9620072929085297,3.4550580653428127,2.9770088006334787,2.5501977231361557,2.182296779341171,1.871181254891917,1.612205015538591,1.3951594136355523,1.212960978784394,1.0595843513572771,0.9293859476508035,0.819447486029014,0.7255257066802371,0.6453198553605127},
+{0.6467551160667475,2.498153761077946,4.039964922676637,4.831081886610861,5.020275836406631,4.825593004550276,4.425230522524825,3.9331019706508252,3.4250909521334787,2.947577914740315,2.522274286432356,2.156370075028565,1.8474852890625186,1.590667357196625,1.3755982370782158,1.195187259839283,1.0434137595912336,0.9146528699436541,0.8059830973381488,0.7131879530678016,0.63397521278149},
+{0.6556927429534127,2.5160175659947677,4.052232987596054,4.831531659838556,5.009175246227911,4.805733244480896,4.3995893972876505,3.9042736835735763,3.395277325014855,2.9183546896524555,2.49459087244704,2.130698755779618,1.8240476197320217,1.5693799033228484,1.3562755541453442,1.177638734514606,1.0274544398072838,0.9001170344218085,0.7927024484758047,0.7010210861560198,0.6227895087106926},
+{0.6646863683566026,2.5338091121396578,4.064276733477335,4.831723859395644,4.997872999453343,4.785768007235276,4.373937471360729,3.875524870704956,3.3656184750448936,2.889339198549402,2.4671464942415886,2.1052810737257817,1.8008658241640778,1.5483398943916573,1.337188461780502,1.1603124570297358,1.0117034707157682,0.8857755914014248,0.7796027915196196,0.6890224793041785,0.6117602467073567},
+{0.6737355207780901,2.5515269460388,4.076096512329912,4.831661067345867,4.986372909546934,4.765701070095044,4.348277923293851,3.8468579033009296,3.336115628380021,2.860531463193758,2.4399401322518863,2.0801152678578965,1.7779374819472065,1.5275445896352937,1.3183340852610868,1.1432055163217807,0.9961579699131811,0.8716257326207256,0.7666814211956791,0.6771895487547891,0.6008849727323696},
+{0.6828397224201094,2.5691696373339212,4.087692709948733,4.8313458709295105,4.97467875896519,4.7455361482846,4.322613870051907,3.8182750858870254,3.3067699476847694,2.831931455485962,2.41297073571091,2.055199564843741,1.7552601759428395,1.506991267466465,1.2997095782835577,1.1263150358824137,0.9808150935299746,0.8576646907429286,0.7539356742756982,0.6655197529569257,0.5901612744244288},
+{0.6919984893111837,2.586735778780397,4.099065745203727,4.830780861769379,4.962794298835646,4.725276895623006,4.296948367876131,3.789778657291859,3.277582533523353,2.803539098988316,2.386237224033033,2.0305321798106744,1.7328314931934048,1.4866772258706653,1.2813121230289675,1.1096381735826937,0.9656720358727748,0.8438897388589526,0.7413629289783862,0.6540105918972983,0.5795867803866761},
+{0.701211331431993,2.604223986238432,4.1102160693342995,4.82996863509677,4.950723248656703,4.7049269051994385,4.271284413129303,3.7613707916725003,3.248554425733184,2.775354270418545,2.359738488160866,2.00611131709793,1.7106490257913367,1.4665997827695187,1.2631389302097524,1.0931721214866041,0.95072602906156,0.8302981899902879,0.7289606043752077,0.6426596064391421,0.5691591594837833},
+{0.7104777528412402,2.621632898657473,4.121144165248984,4.828911788997077,4.938469296018123,4.6844897100697445,4.2456249431254065,3.7330535995317176,3.2196866047802324,2.7473768011131607,2.3334733918753625,1.9819351709826707,1.6887103717098784,1.4467562763563664,1.245187239098661,1.0769141056540228,0.9359743426623321,0.8168873965923804,0.71672615980076,0.6314643776690082,0.5588761201494568},
+{0.7197972518014758,2.638961178054019,4.1318505468304885,4.827612923674793,4.926036096341634,4.663968783971739,4.219972836944214,3.7048291287271025,3.190979993096188,2.719606478460876,2.30744077306995,1.9580019263834643,1.6670131355965825,1.4271440654053122,1.2274543175406991,1.0608613859337999,0.9214142833157611,0.8036547500588649,0.7046570942679469,0.6204225262515134,0.5487354097043156},
+{0.7291693209048361,2.656207509483004,4.142335758246217,4.826074640737552,4.913427272640926,4.6433675420568665,4.194330916231299,3.676699365472114,3.1624354563973744,2.6920430473063246,2.281639444989408,1.9343097595443934,1.6455549295304148,1.4077605295548714,1.20993746194891,1.045011255747579,0.9070431943622838,0.7905976802269546,0.6927509458881242,0.609531711792102,0.5387348136840898},
+{0.7385934471986689,2.6733706010029312,4.1526003732645105,4.824299542499014,4.900646415300499,4.622689341636037,4.168701945984018,3.648666235329067,3.13405380498542,2.6646862113244083,2.256068197434285,1.9108568387026357,1.6243333737434065,1.3886030695673708,1.192633997284814,1.0293610418650085,0.8928584554641082,0.7777136548842971,0.6810052912963924,0.5987896322078712,0.5288721551780969},
+{0.7480691123109954,2.6904491836348963,4.162644994576682,4.822290231300214,4.887697081872489,4.601937482937395,4.143088635323894,3.6207316041940136,3.1058357950296074,2.637535634365516,2.2307257979315107,1.8876413247418486,1.6033460973077576,1.369669107565134,1.1755412770242508,1.0139081041709037,0.8788574822245324,0.7650001792775541,0.6694177450821582,0.5881940231064771,0.5191452941779133},
+{0.7575957925757839,2.707442011315708,4.172470253125049,4.820049308849165,4.87458279689082,4.5811152098739605,4.11749363825594,3.5928972792735747,3.077782129830979,2.6105909417719544,2.205610992872,1.8646613718334168,1.5825907387893625,1.3509560872445285,1.1586566831094016,0.9986498354249619,0.8650377258050065,0.7524547956229848,0.6579859592251254,0.577742657173164,0.5095521269361949},
+{0.7671729591579901,2.7243478608452123,4.182076807437021,4.817579375578351,4.861307051701629,4.560225710819109,4.091919554415363,3.5651650100536423,3.0498934610680872,2.5838517216658707,2.1807225086158963,1.8419151280671646,1.5620649468686612,1.3324614740688263,1.1419776258876717,0.9835836610145415,0.8513966725402908,0.7400750826192558,0.6467076225368134,0.5674333435659152,0.500090585335554},
+{0.7768000781783352,2.741165531828031,4.191465342965443,4.814883030019889,4.847873304309069,4.539272119388023,4.0663689298021435,3.537536489259974,3.0221703900245105,2.557317526209003,2.1560590525662113,1.819400736072881,1.5417663809297824,1.314182755440861,1.1255015440381506,0.9687070387010521,0.8379318435520986,0.7278586549627211,0.6355804601077257,0.5572639273187402,0.490758636267427},
+{0.7864766108377873,2.757893846609848,4.200636571435272,4.8119628681980195,4.83428497923532,4.5182575152232705,4.040844257503958,3.510013353810639,2.994613468798077,2.5309878728346042,2.131619314211521,1.7971163336336662,1.5216927116189047,1.2961174408563774,1.1092259044862964,0.954017458360434,0.8246407943615537,0.7158031628653772,0.6246022327602653,0.5472322887530997,0.4815542810208488},
+{0.7962020135417096,2.7745316502083957,4.209591230196694,4.808821483038708,4.820545467393585,4.49718492478282,4.015347978407851,3.4825971857602704,2.9672232014918682,2.504862245451842,2.1074019661384202,1.7750600542918564,1.501841621372757,1.278263062038949,1.0931482023074788,0.939512441718204,0.8115211145007867,0.7039062915756866,0.6137707365074716,0.5373363428974472,0.47247555468103636},
+{0.8059757380236483,2.7910778102393112,4.218330081584812,4.805461463795961,4.806658125972848,4.476057322128894,3.989882481901144,3.4552895132361168,2.9400000453870283,2.4789400956230696,2.0834056650144093,1.7532300279480515,1.482210804918205,1.260617173057309,1.0772659606200055,0.9251895420795316,0.7985704271239894,0.6921657609024662,0.6030838020176758,0.5275740389148917,0.46352052553770906},
+{0.8157972314687226,2.807531216836996,4.226853912285962,4.8018853954947005,4.792626278332992,4.454877629716128,3.964450106561949,3.428091811365805,2.912944412097431,2.4532208437142824,2.059629052541869,1.731624381453546,1.46279796974381,1.2431773504258894,1.0615767304682031,0.911046344054758,0.7857863886182044,0.6805793247419963,0.5925392940851235,0.5179433595389406,0.4546872945030345},
+{0.825665936636594,2.8238907825706505,4.235163532710808,4.798095858389815,4.778453213909037,4.4336487191777,3.9390531408397416,3.401005503196832,2.8860566687062748,2.4277038800191635,2.0360707563837916,1.7102412391963147,1.4436008365442947,1.2259411931893431,1.046078090696134,0.8970804632807883,0.7731666882141364,0.6691447706085256,0.5821351111066336,0.5084423205173094,0.4459739945391148},
+{0.8355812919839793,2.8401554423556146,4.24325977637422,4.794095427441173,4.764142188123135,4.412373412108075,3.913693823726351,3.3740319606076867,2.8593371388846927,2.4023885658570707,2.0127293910619164,1.6890787236805351,1.424617139638792,1.2089063229917874,1.030767647812476,0.8832895461387411,0.7607090475972427,0.657859919168306,0.5718691845643441,0.4990689700637621,0.437378790094911},
+{0.8455427317866796,2.8563241533601555,4.251143499282094,4.789886671804254,4.749696422303114,4.391054480841209,3.8883743454177577,3.3471725052105854,2.832786103992428,2.3772742346453435,1.9896035588278684,1.6681349560994925,1.4058446273637575,1.1920703841314635,1.0156430358470958,0.8696712694682258,0.7484112205193391,0.6467226237772966,0.5617394785145744,0.4898213883179373,0.4288998765524956},
+{0.8555496862610993,2.872395894907869,4.2588155793251135,4.7854721543361975,4.735119103606458,4.369694649223099,3.86309684796704,3.3204284092457623,2.8064038041607096,2.3523601929463203,1.9666918505079816,1.647408056901643,1.3872810624414265,1.175431043601513,1.000701916199812,0.8562233402786152,0.7362709924109687,0.6357307700226668,0.5517439890828559,0.48069768681312924,0.42053547968254334},
+{0.8656015816852278,2.888369668375815,4.266276915679586,4.780854431116921,4.720413384948753,4.348296593377714,3.837863425928863,3.293800896467278,2.7801904393574315,2.327645721489468,1.9439928463223828,1.6268961463495057,1.3689242223246605,1.1589859911174978,0.9859419774818301,0.8429434954576472,0.724286179994739,0.624882275268209,0.5418807439651449,0.47169600795197064,0.41228385510894267},
+{0.8756978405190545,2.904244497088531,4.273528428215343,4.776036050985086,4.705582384935726,4.326862942465354,3.8126761269957647,3.2672911430202687,2.7541461704347086,2.3031300761689852,1.921505116678995,1.6065973450709798,1.3507718995190074,1.1427329391322991,0.9713609353503023,0.8298295014776729,0.7124546308998363,0.6141750882037665,0.5321478019352426,0.46281452448996396,0.40414328778242137},
+{0.8858378815243938,2.920019426208069,4.280571056910824,4.7710195550886,4.690629187798305,4.305396279432685,3.787536952626617,3.2409002783096286,2.728271120158995,2.2788124890173114,1.8992272229432388,1.5865097746026837,1.3328219018828258,1.1266696228389956,0.9569565323364645,0.8168791540998736,0.7007742232779148,0.6036071883987749,0.5225432523584398,0.4540514390268161,0.39611209146308585},
+{0.8960211198840964,2.9356935226201704,4.287405761275333,4.76580747644941,4.67555684333019,4.283899141753638,3.762447858667518,3.214629385860032,2.7025653742238176,2.254692169154909,1.8771577181845096,1.566631557924819,1.3150720529062367,1.110793800162282,0.9427265376677622,0.8040902780767177,0.6892428654205299,0.5931765858599989,0.5130652147113819,0.4454049835055023,0.38818860821174633},
+{0.9062469673206183,2.9512658748167446,4.29403351977857,4.760402339542333,4.660368366827739,4.262374022160653,3.737410755965427,3.1884795041672995,2.6770289822453304,2.230768303716763,1.8552951479011237,1.5469608199871137,1.2975201919697303,1.095103251739002,0.9286687470843826,0.7914607268529614,0.677858495378305,0.582881320593555,0.5037118381081763,0.4368734187190184,0.38037120788993556},
+{0.9165148322139334,2.9667355927747483,4.300455329287414,4.754806659887609,4.645066739032099,4.240823369365578,3.71242751097478,3.162451627541011,2.6516619587407546,2.2070400587559456,1.8336380507261405,1.5274956882253252,1.280164174583154,1.0795957808883045,0.9147809826505744,0.7789883822654349,0.6666190805819724,0.5727194621712802,0.49448130083272296,0.4284550338247419,0.3726582876684438},
+{0.9268241197187519,2.982101807831606,4.306672204510042,4.749022943656962,4.629654906073694,4.219249588769803,3.687499946357352,3.1365467069383546,2.6264642840898778,2.1835065801246953,1.8121849591173007,1.5082342930678376,1.2630018726058485,1.0642692135719385,0.9010610925611281,0.7666711542418684,0.6555226174654469,0.5626891093015125,0.4853718098772634,0.4201481458663367,0.3650482715432979},
+{0.9371742318810402,2.9973636725573085,4.3126851774473645,4.743053687292889,4.6141357794194375,4.197655043163212,3.6626298415756082,3.110765650789161,2.601435905479741,2.160166994333393,1.7909344000348784,1.4891747684318863,1.2460311744486463,1.049121398345188,0.8875069509433849,0.7545069804990127,0.644567131091076,0.5527883894043498,0.47638160048714606,0.41195109930314217,0.35753960985145494},
+{0.94756456775381,3.0125203606233044,4.318495296851859,4.736901377140925,4.598512235823112,4.176042053411577,3.637818933479753,3.0851093258120796,2.576576737832628,2.1370204093878384,1.769884895611432,1.470315252208938,1.2292499852584304,1.034150206298899,0.8741164576550986,0.7424938262402532,0.6337506747771833,0.5430154581914229,0.46750893571177615,0.4038622655469622,0.35013077875491627},
+{0.9579945235121539,3.027571066668287,4.3241036276937415,4.730568489094608,4.582787117279504,4.154412899132106,3.613068916888685,3.059578557821852,2.551886664717517,2.114065915605228,1.7490349638171367,1.4516538867388205,1.212656227085928,1.0193535309930648,0.8608875380784916,0.730629683852951,0.623071329728043,0.5333684992502365,0.4587521059617394,0.3958800425061893,0.3428202796171492},
+{0.9684634925675245,3.0425150061610506,4.32951125063458,4.724057488252948,4.5669632309831085,4.13276981935697,3.5883814451650857,3.0341741325276796,2.5273655392451166,2.0913025864092525,1.7283831191236152,1.433188819272196,1.1962478390374067,1.0047292883824004,0.8478181429108173,0.7189125726057068,0.6125272046663893,0.5238457236331163,0.4501094285720757,0.38800285413718605,0.3356066381491185},
+{0.9789708656812134,3.0573514152604595,4.334719261508263,4.717370828590055,4.551043349292124,4.111115013184538,3.563758130784754,3.0088967963226,2.5030131849466137,2.06872947910467,1.7079278731680192,1.4149182024210016,1.1800227774108834,0.9902754167343228,0.8349062479517112,0.7073405383457324,0.602116435468562,0.5144453694507841,0.44157924737166454,0.38022915000284335,0.32848840318760186},
+{0.9895160310770346,3.07207955067271,4.339728770809402,4.7105109526368,4.535030209698704,4.089450640418288,3.5392005459004383,2.9837472570638828,2.4788293966362756,2.0463456356317997,1.6876677354177734,1.396840194596548,1.1639790158174963,0.9759898765397429,0.8221498538876336,0.6959116531965235,0.5918371848024014,0.5051657014706031,0.4331599322587049,0.37255740483824556,0.3214641450048971},
+{1.0000983745531808,3.0866986895059654,4.344540903189158,4.703480291174146,4.5189265148064015,4.067778822193283,3.514710222900264,2.958726184844411,2.4548139412580476,2.02415008330129,1.6676012138349738,1.3789529604349664,1.1481145452886143,0.9618706504170569,0.809546986073664,0.6846240152559921,0.5816876417679615,0.4960050107195003,0.4248498787822412,0.3649861181233495,0.31453245312791656},
+{1.0107172795932415,3.101208129122483,4.349156796958438,4.696281262938013,4.502734932315733,4.046101641590168,3.490288654960931,2.9338342127550163,2.4309665587162588,2.002141835509572,1.6477268155381124,1.3612546712097542,1.1324273743692905,0.947915743009706,0.7970956943129106,0.673475748295229,0.5716660215411453,0.4869616140915933,0.41664750772970854,0.35751381366261137,0.3076919337394377},
+{1.0213721274763607,3.115607186988332,4.353577603598501,4.688916274335337,4.486458095018858,4.024421144236706,3.465937296595798,2.9090719376377305,2.4072869626905833,1.980319892435365,1.6280430474577046,1.3437435052312063,1.1169155291986232,0.9341231808776669,0.7847940526337733,0.6624650014580437,0.5617705650203215,0.478033853960528,0.40855126472045156,0.3501390391714669,0.30094120681672304},
+{1.032062297386534,3.129895200520838,4.3578044872789885,4.681387719171199,4.470098600804335,4.002739338896926,3.441657564198006,2.884439920829992,2.383774841435414,1.958683241717645,1.6085484169816033,1.3264176482325554,1.1015770535775995,0.9204910123832194,0.7726401590653084,0.6515899489614275,0.5519995384760071,0.46922009779653956,0.40055961980517724,0.34286036586959057,0.294278903214493},
+{1.042787166521004,3.1440715269338195,4.36183862438326,4.673697978386679,4.453659012672815,3.981058198047891,3.4174508365787073,2.8599386888997125,2.3604298585637404,1.9372308591154135,1.5892414325852595,1.3092752937426706,1.086410009024962,0.907017307571317,0.7606321354109051,0.6408487897970765,0.5423512332036695,0.46051873778823754,0.3926710670712959,0.3356763880808472,0.28770366191428065},
+{1.053546110197767,3.158135543080754,4.36568120304115,4.665849419807296,4.437141858764606,3.959379658444273,3.393318455500567,2.835568734371267,2.337251653815716,1.9159617091496735,1.5701206044420577,1.2923146434452266,1.071412474821647,0.8937001580448828,0.7487681270204898,0.6302397474340952,0.5328239651797086,0.45192819046911525,0.3848841242541006,0.32858572283984694,0.28121412764439524},
+{1.0643385019621596,3.17208664529595,4.369333422669025,4.657844397901758,4.420549632399849,3.937705621670821,3.3692617262065725,2.811330516442353,2.314239843812042,1.894874745727965,1.5511844450089547,1.2755339075242742,1.056582548044316,0.8805376768353405,0.7370463025614681,0.6197610695230094,0.5234160747206794,0.4434468963487826,0.37719733235374203,0.32158700950502866,0.27480894903342196},
+{1.0751637136925165,3.185924249233842,4.372796493517156,4.649685253550811,4.403884792132059,3.9160379546828783,3.3452819179442774,2.787224461691729,2.291394022792303,1.8739689127518282,1.5324314695830297,1.258931304996173,1.0419183435885093,0.8675279982686741,0.7254648537885935,0.6094110276011988,0.5141259261457957,0.43507331954891737,0.3696092552579477,0.3146789093781835,0.26848677740610616},
+{1.0860211157048936,3.1996477897064906,4.37607163622439,4.641374313825982,4.387149761815651,3.894378490335169,3.321380264485547,2.763250964777838,2.268713763338428,1.8532431447075464,1.5138601968251129,1.2425050640279038,1.0274179941819004,0.8546692778272929,0.7140219953129383,0.5991879167998441,0.5049519074427531,0.4268059474439139,0.3621184793704228,0.3078601053303223,0.26224626627334646},
+{1.0969100768568296,3.2132567205193836,4.3791600813800535,4.632913891777952,4.370346930688011,3.872729027898985,3.2975579646418613,2.7394103891282975,2.246198617083402,1.8326963672405345,1.4954691492473602,1.2262534222417798,1.0130796503881636,0.8419596920079847,0.7027159643701576,0.5890900555525068,0.495892429936926,0.4186432903062347,0.35472361324489793,0.301129301433821,0.2560860715151351},
+{1.107829964650154,3.226750514305654,4.382063069093106,4.624306286234429,4.353478653466558,3.851091333568084,3.273816182775272,2.7157030676202973,2.2238481154054153,1.8123274977137143,1.4772568536624224,1.2101746270066327,0.998901480601913,0.8293974381762147,0.6915450205882042,0.5791157853054166,0.48694592796395353,0.4105838809564329,0.3474232872247503,0.2944852226007381,0.25000485221111146},
+{1.1187801453328132,3.240128662358765,4.38478184856846,4.615553781607211,4.336547250461158,3.8294671409534162,3.2501560493050383,2.6921293032518676,2.201661770107587,1.7921354457502154,1.4592218415926619,1.1942669357155626,0.9848816710351754,0.8169807344170199,0.6805074457546517,0.5692634702295624,0.47811085854575797,0.40262627441783483,0.340216153088154,0.28792661422708976,0.2440012720402785},
+{1.1297599839997159,3.253390674463792,4.387317677690459,4.606658647708305,4.3195550077021165,3.807858151567013,3.2265786612100085,2.6686893698040723,2.179639074083431,1.772119113760756,1.4413626496386667,1.1785286160503639,0.9710184256958364,0.8047078193827424,0.6696015435837833,0.5595314969346659,0.4693857010700136,0.394769047575864,0.3331008836986982,0.2814522418412917,0.23807400114957844},
+{1.1407688446925814,3.2665360787273543,4.389671822613466,4.597623139574862,4.302504177083935,3.7862660352952378,3.2030850825267927,2.6453835124941114,2.1577795019682418,1.7522773974560124,1.4236778198070845,1.1629579462327768,0.9573099663584861,0.7925769521378326,0.6588256394835854,0.5499182741851106,0.46076895697308895,0.3870107988419766,0.32607617266141403,0.2750608907467606,0.23222171837962188},
+{1.1518060904987848,3.2795644214063056,4.391845557359518,4.588449497302736,4.2853969765248685,3.7646924308616723,3.1796763448437573,2.6222119486193747,2.136082510776563,1.7326091863443387,1.4061658997984696,1.1475532152627297,0.9437545325280707,0.780586412000947,0.6481780803227866,0.5404222326179003,0.4522591494264859,0.3793501478221922,0.31914073398415543,0.2687513656262699,0.22644311373328066},
+{1.1628710836491944,3.292475266735264,4.39384016342301,4.579139945888478,4.268235590142268,3.7431389462799154,3.1563534477908917,2.5991748681924567,2.1145475405259124,1.713113364215123,1.3888254432564553,1.1323127231437466,0.9303503813967426,0.7687344983845519,0.637657234198066,0.5310418244627072,0.4438548230267787,0.3717857349901838,0.3122933017442673,0.2625224900409648,0.2207368909771751},
+{1.173963185614981,3.30526819675304,4.395656929382345,4.56969669507953,4.251022168443534,3.7216071592965383,3.1331173595255475,2.576272434567149,2.093174014846944,1.6937888096081182,1.371655009980074,1.1172347810957322,0.9170957877942782,0.7570195306322333,0.6272614902015611,0.5217755232640712,0.43555454348907774,0.36431622136490316,0.30553262976048534,0.2563731057279645,0.2151017702754082},
+{1.1850817572034043,3.3179428111280727,4.397297150518528,4.560121939232486,4.23375882853252,3.7000986178244983,3.109969017214117,2.5535047850554613,2.0719613415802236,1.674634396269065,1.3546531661014642,1.1023177117553549,0.9039890441324333,0.7454398478539237,0.6169892581887896,0.5126218236058119,0.4273568973440195,0.3569402881927147,0.2988574912700101,0.2503020715985998,0.20953649076746367},
+{1.196226158652563,3.330498726982926,4.398762128440622,4.55041785717918,4.216447654331068,3.678614840367276,3.0869093275096273,2.5308720315356856,2.0509089133598075,1.6556489935918899,1.3378184842315237,1.087559849364248,0.8910284603435555,0.7339938087592115,0.6068389685470905,0.5035792408376909,0.4192604916382841,0.3496566366339941,0.29226667861068095,0.24430826237252107,0.20403981301646848},
+{1.2073957497251038,3.3429355787179484,4.400053170718048,4.540586612100432,4.199090696815305,3.6571573164340005,3.0639391670253113,2.5083742610515376,2.030016108183799,1.6368314670478048,1.3211495435762994,1.0729595399452947,0.8782123638138057,0.7226797914889376,0.5968090719647025,0.4946463108043883,0.4112639536386556,0.34246398745417206,0.2857590029082059,0.23839056684206025,0.19861052126892276},
+{1.2185898898008796,3.3552530178341358,4.40117159051965,4.530630351407279,4.181689974266265,3.63572750694587,3.041059382804126,2.486011536402419,2.009282289972083,1.618180678601586,1.3046449300270395,1.0585151414672371,0.8655390993112746,0.7114961934452289,0.5868980392005628,0.485821589576821,0.4033659305396108,0.3353610807191763,0.2793332937683673,0.2325478858277173,0.19324742548148427},
+{1.229807937968558,3.367450712755306,4.402118706259474,4.520551206629498,4.164247472534357,3.614326844634121,3.0182707927842696,2.4637838967248453,1.9887068091114146,1.5996954871153328,1.2883032362269211,1.0442250239978907,0.8530070289093059,0.7004414311201503,0.5771043608549338,0.47710365318585035,0.3955650891744444,0.3283466754952419,0.27298839897415256,0.22677912994185717,0.18794936308398463},
+{1.2410492531161683,3.379528348649619,4.40289584124922,4.510351293311231,4.146765145317114,3.5929567344298206,2.9955741862606837,2.441691358065068,1.9682890029880704,1.5813747487399903,1.272123061617445,1.030087569846234,0.8406145319052989,0.6895139399231254,0.5674265471409383,0.46849109735841643,0.3878601157299238,0.3214195495530527,0.26672318418774504,0.22108321731243016,0.18271520046001052},
+{1.2523131940205843,3.3914856272505487,4.403504323357295,4.500032710913571,4.129244914449607,3.5716185538457648,2.9729703243425396,2.4197339139429532,1.9480281965082298,1.563217317294912,1.2561030124674386,1.0161011736936516,0.8283600047352568,0.678712174007275,0.5578631276570896,0.45998253725612104,0.3802497154644617,0.3145784990761716,0.2605365326573086,0.21545907142846388,0.17754383413696329},
+{1.26359911943594,3.4033222666773404,4.403945484674395,4.489597542723899,4.111688670206932,3.5503136533507536,2.950459940406742,2.3979115359071703,1.9279237026063054,1.5452220446357408,1.2402417018875274,1.0022642427146342,0.8162418608843447,0.6680346060948265,0.5484126511608948,0.4515766072163027,0.37273261242980715,0.30782233837372425,0.2544273449285072,0.20990561925693355,0.17243419168641336},
+{1.274906388180975,3.41503800125504,4.404220661185602,4.479047855771837,4.094098271618045,3.5290433567364796,2.928043740547415,2.376224174081728,1.9079748227414028,1.5273877810108787,1.2245377498327545,0.9885751966872097,0.8042585307936859,0.6574797273017181,0.5390736853436051,0.44327196049561324,0.3653075491962322,0.30114989959729155,0.248394538560693,0.20442178975238,0.16738523234278063},
+{1.2862343592252998,3.4266325813341627,4.404331192448878,4.468385700751628,4.076475546790279,3.507808961477341,2.9057224040214122,2.3546717577039478,1.8881808473821082,1.5097133754068157,1.208989783095894,0.9750324680934149,0.7924084617636376,0.6470460469615434,0.5298448166061812,0.43506726901613313,0.3579732865812134,0.29456003246197404,0.24243704784770279,0.19900651284337287,0.16239594735405302},
+{1.2975823917745875,3.4381057731100313,4.404278421279932,4.4576131119507725,4.058822293243782,3.486611739083362,2.8834965836897997,2.333254195653903,1.8685410564797944,1.4921976758825597,1.1935964352937893,0.9616345022101025,0.7806901178537613,0.6367320924489525,0.5207246498365419,0.4269612231140369,0.35072860338158657,0.28805160397158386,0.23655382354319987,0.19365871893992642,0.15746536008247647},
+{1.3089498453546782,3.4494573584418884,4.404063693443373,4.446732107184804,4.041140278255179,3.46545293544654,2.8613669064553604,2.311971376975418,1.8490547199306404,1.4748395298934456,1.1783563468488536,0.9483797571903756,0.7691019797796944,0.62653640900263,0.5117118081881535,0.41895253129082705,0.3435722961091605,0.28162349814792226,0.23074383259049716,0.18837733896820816,0.15259252587611782},
+{1.3203360798946058,3.4606871346718058,4.403688357350119,4.4357446877379925,4.023431239209661,3.4443337711808217,2.839333973696078,2.290823171388685,1.8297210980265806,1.4576377846045585,1.1632681649676586,0.9352667041359678,0.7576425448071316,0.6164575595479729,0.5028049328600219,0.411039919967157,0.33650317872977575,0.275274615764101,0.22500605785680133,0.18316130490657637,0.1477765317340831},
+{1.3317404558085344,3.4717949144434757,4.403153763760942,4.424652838309853,4.005696883960781,3.423255441955946,2.8173983616946177,2.2698094297945657,1.8105394418953362,1.4405912871940267,1.1483305436183067,0.9222938271608401,0.7463103266430916,0.6064941245195615,0.49400268287813226,0.40322213323924627,0.3295200824057828,0.2690038740818614,0.21933949787181312,0.1780095507718112,0.14301649578911776},
+{1.3431623340766106,3.4827805255209174,4.40246126549614,4.4134585269673074,3.9879388911971576,3.402219118825402,2.7955606220637885,2.2489299847706605,1.7915089939297606,1.423698885146414,1.133542143508085,0.9094596234463215,0.7351038553246642,0.5966447016835409,0.4853037348783953,0.3954979326379033,0.32262185524192705,0.2628102065928481,0.2137431665706087,0.17292101398689227,0.13831156663153063},
+{1.354601076324724,3.4936438106071646,4.4016122171512375,4.402163705102329,3.9701589108153756,3.3812259485487046,2.773821282167985,2.228184651059202,1.7726289882066697,1.4069594265364533,1.1189016320626852,0.896762603288065,0.7240216771053993,0.5869079059600001,0.4767067828911359,0.38786609689016266,0.31580736203461185,0.25669256276379304,0.20821609304044061,0.16789463705138008,0.13366092249797693},
+{1.3660560449031809,3.5043846271629904,4.400607974818641,4.390770307394943,3.952358564298295,3.360277053908221,2.7521808455405976,2.207573226046877,1.7538986508953625,1.390371760303364,1.104407683408073,0.8842012901351319,0.7130623543395176,0.5772823692454576,0.4682105381271832,0.3803254216835477,0.30907548402452845,0.2506499077855703,0.2027573212688296,0.1629293694315131,0.12906377034777866},
+{1.3775266029642883,3.5150028472257167,4.399449895815216,4.379280251781433,3.9345394450980473,3.3393735340207473,2.7306397922973975,2.1870954902366133,1.7353172006560078,1.3739347365159595,1.0900589783558952,0.8717742206214805,0.702224465364084,0.5677667402355233,0.4598137287655818,0.3728747194329515,0.3024251186526164,0.2446812223260666,0.1973659098813879,0.15802416958829218,0.12451934484824101},
+{1.3890121145388428,3.525498357228142,4.398139338415673,4.367695439427607,3.916703119022991,3.3185164646440293,2.709198579545871,2.166751207711433,1.7168838490280924,1.3576472066287797,1.0758542043931445,0.8594799445901437,0.6915066043793023,0.5583596842478327,0.45151509974297127,0.3655128190501441,0.2958551793193359,0.23878550228682832,0.19204093183845683,0.15317800706691298,0.12002690728897925},
+{1.4005119446115384,3.5358710578176824,4.396677661591742,4.356017754706999,3.8988511246279387,3.2977068984784528,2.6878576417905147,2.1465401265904394,1.6985978008091271,1.3415080237294683,1.0617920556766414,0.847317025110397,0.6809073813270823,0.5490598830453319,0.4433134125446695,0.35823856571590884,0.2893645951472295,0.2329617585634399,0.18678147403477968,0.1483898645786739,0.1155857444436585},
+{1.4120254591952761,3.5461208636757124,4.395066224757013,4.344249065183845,3.8809849736069206,3.2769458654640466,2.666617391334073,2.1264619794770008,1.680458254423776,1.3255160427776043,1.0478712330327227,0.8352840384881686,0.6704254217680038,0.5398660346599907,0.43520744499748565,0.3510508206548031,0.2829523107467434,0.22720901680958785,0.18158663672997138,0.14365874001591583,0.11119516739585},
+{1.4235520254043883,3.556247703337198,4.393306387517424,4.332391221600733,3.863106151187871,3.256234373073021,2.6454782186747186,2.1065164838992128,1.6624644022836124,1.3096701208351949,1.0340904439624112,0.8233795742699839,0.6600593667568211,0.5307768532170104,0.42719599106429196,0.3439484609125383,0.27661728598528085,0.22152631720476273,0.17645553274182268,0.13898364835076693,0.10685451034397658},
+{1.4350910115267794,3.566251519010651,4.3913995094272975,4.320446057870755,3.8452161165285643,3.235573406597986,2.6244404928991645,2.0867033427427133,1.6446154311376702,1.2939691172890464,1.0204484026522136,0.8116022352407037,0.6498078727166304,0.5217910687595996,0.419277860640384,0.33693037913598184,0.2703584957594643,0.2159127142255559,0.17138728636188266,0.13436362337879637,0.10256312939861244},
+{1.4466417870949722,3.5761322663984414,4.389346949750852,4.30841539107408,3.8273163031131934,3.2149639294360246,2.6035045620717123,2.067022244675902,1.6269105224139762,1.2784118940651972,1.0069438299905717,0.7999506374153142,0.639669611311817,0.5129074270743837,0.4114518793516444,0.3299954833557649,0.2641749297705721,0.21036727642050357,0.1663810319954788,0.1297977192786006,0.09832040138373763},
+{1.458203722956076,3.5858899145175194,4.387150067229144,4.296301021458786,3.8094081191489857,3.1944068833687913,2.5826707536192144,2.0474728645676517,1.6093488525522355,1.2629973158356298,0.9935754535899186,0.7884234100250338,0.6296432693199059,0.5041246895175042,0.4037168883545385,0.3231426967714966,0.25806559230312487,0.20488908618843166,0.16143591257420536,0.12528501196751526,0.09412572265195684},
+{1.4697761913406708,3.5955244455205846,4.384810219852354,4.284104732445833,3.7914929479623263,3.1739031888387688,2.561939374711967,2.0280548638975797,1.5919295933278568,1.2477242502174377,0.9803420078142013,0.7770191954979803,0.6197275485024256,0.4954416328414735,0.3960717441379606,0.31637095753957617,0.25202950200659263,0.19947723956026192,0.15655107782690303,0.120824600241852,0.08997850792221043},
+{1.4813585659306054,3.605035854517727,4.38232876463731,4.271828290638062,3.7735721483937943,3.153453745221827,2.541310712640501,2.0087678911589224,1.5746519121674678,1.2325915679646413,0.9672422338116459,0.765736649434633,0.6099211654748818,0.4868570490228294,0.3885153183269383,0.30967921856358543,0.2460656916801883,0.19413084598422417,0.15172568251856067,0.11641560669714657,0.08587818914709533},
+{1.4929502219257311,3.6144241493986304,4.379707057410298,4.259473445833139,3.7556470551916905,3.133059431096271,2.520785035188321,1.9896115822541227,1.5575149724561295,1.2175981431528577,0.9542748795525222,0.7545744405783462,0.6002228515759632,0.47836974509065844,0.38104649748822556,0.30306644728726356,0.24017320806072476,0.1888490281144396,0.14695888477356348,0.11205717842990381,0.08182421441566447},
+{1.5045505361095408,3.6236893506552863,4.376946452594909,4.247041931040221,3.7377189794034753,3.1127211045084167,2.500362591000508,1.9705855608831542,1.5405179338363644,1.2027428533569646,0.9414386998715666,0.7435312507811053,0.5906313527360519,0.46997854295601477,0.37366418293777853,0.29653162549003786,0.23435111161349487,0.1836309216028206,0.14224984459191553,0.10774848752718595,0.07781604689638567},
+{1.5161588869137543,3.632831491205348,4.374048303005022,4.234535462500364,3.719789208764762,3.0924396032349315,2.4800436099482717,1.9516894389246777,1.5236599524992231,1.1880245798219802,0.9287324565147279,0.7326057749647752,0.5811454293451558,0.46168227924229605,0.3663672905501404,0.2900737490851079,0.22859847632615107,0.1784756748942478,0.13759772264838466,0.10348873135423287,0.07385316382391564},
+{1.5277746544818258,3.6418506162160913,4.371013959642749,4.221955739710467,3.701859008085384,3.07221574504196,2.45982830348939,1.932922816810088,1.5069401814675047,1.1734422076273054,0.9161549181898498,0.7217967210780312,0.5717638561203364,0.4534798051166152,0.3591547505697389,0.2836918279200708,0.22291438950555348,0.17338244902498126,0.13300167943936012,0.09927713265320443,0.06993505553240423},
+{1.5393972207313826,3.6507467829290503,4.3678447715013045,4.209304445450661,3.683929619632172,3.0520503279412154,2.4397168650245566,1.9142852838905164,1.4903577708713183,1.1589946258445043,0.9037048606208771,0.711102810049178,0.5624854219727261,0.44536998612220075,0.35202550742410066,0.27738488558005875,0.21729795157754603,0.16835041742425247,0.1284608748146812,0.09511293946816149,0.06606122453720646},
+{1.5510259694156094,3.6595200604853484,4.36454208537275,4.196583245815084,3.6660022635080733,3.0319441304431187,2.4197094702496535,1.8957764187968662,1.4739118682161403,1.1446807276888047,0.8913810666051843,0.700522775735061,0.553308929874216,0.43735170201187257,0.34497851953899583,0.27115195919339524,0.21174827588964157,0.16337876571900345,0.12397446790516846,0.09099542491275267,0.062231184666181674},
+{1.5626602861835728,3.668170529751762,4.361107245660488,4.1837937902458675,3.6480781380272758,3.0118979118070754,2.3998062775039157,1.8773957897929334,1.4576016186435126,1.1304994106644544,0.8791823260735863,0.6900553648662471,0.5442331967238887,0.4294238465826172,0.3380127591555115,0.2649920992397319,0.20626448851657117,0.15846669154172144,0.11954161743321799,0.08692388679775129,0.05844446024110181},
+{1.5742995586394861,3.6766982831475294,4.357541594196504,4.170937711570268,3.630158420086028,2.991912412289013,2.380007428114015,1.8591429551217038,1.4414261651845468,1.1164495767041198,0.8671074361526033,0.6796993369886699,0.5352570532142762,0.4215853275112987,0.3311272121490584,0.25890436936066397,0.200845728068674,0.15361340434132711,0.11516148237499475,0.08289764713579387,0.05470058530917244},
+{1.585943176400935,3.685103424471981,4.353846470063248,4.158016626040872,3.6122442655288993,2.9719883533862617,2.3603130467340794,1.8410174633448835,1.4253846490063904,1.102530132302473,0.8551552012285739,0.6694534644019272,0.526379343697519,0.41383506619153876,0.32432087785032016,0.2528878461728032,0.1954911455030937,0.14881812519707546,0.11083322292894521,0.0789160515404464,0.050999102924203},
+{1.5975905311560472,3.6933860687329347,4.35002320942005,4.145032133378687,3.594336809510172,2.95212643807983,2.340723241681601,1.8230188536757297,1.4094762096517743,1.0887399886441103,0.8433244330131612,0.6593165320943896,0.5175989260514781,0.40617199757178,0.31759276886813065,0.24694161908328546,0.1901999039377445,0.1440800866354233,0.10655600173643143,0.07497846853617587,0.04733956447658298},
+{1.609241016719631,3.701546341975989,4.34607314533413,4.131985816819141,3.5764371668502224,2.9323273510742287,2.3212381052693076,1.8051466563052798,1.3936999852718337,1.0750780617259779,0.8316139506098839,0.6492873376753261,0.5089146715458918,0.39859506999457356,0.31094191091429874,0.24106479010770293,0.18497117846802233,0.13939853244982067,0.10232898529583678,0.07108428879501526,0.043721529070922874},
+{1.6208940290882745,3.709584381114647,4.341997607615954,4.118879243160776,3.5585464323865876,2.91259175903484,2.301857714132944,1.787400392722014,1.3780551128522989,1.0615432724744207,0.8200225805812383,0.6393646913041892,0.5003254647086137,0.3911032450370973,0.30436734263035914,0.2352564736904324,0.17980415598621838,0.13477271752336106,0.09815134551076843,0.06723292431473651,0.040144562950000406},
+{1.6325489664944102,3.7175003337613455,4.33779792265902,4.105713962816652,3.540665681319623,2.89292031082295,2.2825821295550015,1.7697795760250616,1.3625407284332312,1.0481345468570211,0.8085491570160555,0.6295474156172527,0.49183020319201,0.38369549735293607,0.29786811541626007,0.22951579652734552,0.17469803500361034,0.13020190765388936,0.09402226131521305,0.06342380755225854,0.036608238963516976},
+{1.6442052294593683,3.7252943580594176,4.3334754132839395,4.092491509868279,3.522795969552562,2.8733136377285127,2.2634113977844095,1.7522837112310143,1.34715596732243,1.034850815989361,0.7971925215967245,0.6198343456517654,0.4834277976395694,0.376370814515145,0.291443293260983,0.22384189739088395,0.16965202547519864,0.1256853793791163,0.08994092032293327,0.059656390524854164,0.03311213608009271},
+{1.655862220845396,3.7329666225159763,4.329031398586733,4.079213402122058,3.50493833402582,2.8537723537006734,2.2443455503521736,1.7349122955744143,1.3318999643026417,1.0216910162368402,0.7859515236659239,0.6102243287677711,0.475117171552771,0.36912819686059944,0.285091952575081,0.21823392695746902,0.1646653486270473,0.12122241979233744,0.0859065204542501,0.055930143890518286,0.02965583894085279},
+{1.6675193459066675,3.740517305835771,4.324467193791323,4.0658811411680915,3.487093793045473,2.8342970555761564,2.225384604382994,1.7176648188020074,1.3167718538327173,1.0086540893116909,0.7748250202925588,0.600716224567778,0.466897261158278,0.3619666573356673,0.2788131820251424,0.2126910476372374,0.15973723678620752,0.11681232632568636,0.08191827150011573,0.052244556017668295,0.026238937452897324},
+{1.6791760123392925,3.747946596756031,4.319784110106111,4.052496212441331,3.4692633466057887,2.8148883233055213,2.2065285629028573,1.7005407634608396,1.3017707702428383,0.9957389823653188,0.7638118763365778,0.5913089048144126,0.45876701527549024,0.3548852213431996,0.2726060823701636,0.20721243340607,0.15486693321318182,0.11245440646115602,0.07797539659044497,0.048599132053166336,0.02286102642084284},
+{1.6908316303303144,3.755254693882318,4.314983454584612,4.03906008528492,3.451447976705755,2.7955467201773985,2.1877774151426395,1.6835396051802758,1.2868958479239514,0.9829446480760986,0.752910964512405,0.5820012533462215,0.4507253951845154,0.3478829265908658,0.2664697662998296,0.20179726963990016,0.15005369193690335,0.10814797731868234,0.07407713354071918,0.04499339299653185,0.019521705214514684},
+{1.702485612605716,3.7624418055253916,4.310066529990034,4.0255742130156715,3.4336486476595143,2.776272793040679,2.1691311368376973,1.6666608129480116,1.2721462215115256,0.970270044732748,0.7421211654507135,0.5727921659917657,0.44277137449459564,0.34095882294084023,0.2604033582746929,0.1964447529512785,0.14529677759219436,0.10389236507297422,0.0702227360575813,0.04142687478712678,0.016220577470747483},
+{1.7141373744774329,3.7695081495391287,4.305034634663784,4.0120400329915995,3.4158663064007126,2.7570670725247775,2.1505896905234976,1.6499038493801803,1.2575210260637695,0.9577141363134083,0.7314413677583076,0.5636805504821429,0.43490393901303614,0.3341119722608496,0.2544059943682421,0.19115409102816908,0.1405954652596732,0.09968690416814388,0.06641147479030177,0.037899127410095386,0.012957250827139877},
+{1.7257863338893906,3.7764539531595114,4.299889062397829,3.9984589666813632,3.3981018827807143,2.7379300732579557,2.1321530258272863,1.633268170985624,1.2430193972344257,0.9452758925605493,0.7208704680758975,0.5546653263620848,0.42712208661467543,0.32734144827659606,0.24847682211085298,0.18592450247495912,0.1359490403080781,0.09553093632711752,0.06264263822051033,0.03440971402589826,0.009731336685530403},
+{1.7374319114625543,3.7832794528446763,4.294631102310797,3.9848324197355267,3.380356289860657,2.7188622940837623,2.113821079755794,1.6167532284244117,1.228640471440256,0.9329542890518107,0.71040737113356,0.5457454248997404,0.4194248271119314,0.32064633642555795,0.2426150003356076,0.18075521665565472,0.13135679823897276,0.09142380938386191,0.05891553338737279,0.030958210127423415,0.006542450002919472},
+{1.749073530539015,3.789984894116078,4.289262038727833,3.9711617820594816,3.3626304241973886,2.699864218275631,2.095593776979035,1.600358466760691,1.2143833860233464,0.9207483072669097,0.7000509898037195,0.536919788995289,0.41181118212546325,0.31402573371217823,0.23681969902597513,0.17564547353924423,0.12681804453380607,0.08736487599355637,0.055229486449435324,0.027544202727872058,0.0033902091075560664},
+{1.7607106172251108,3.7965705314007487,4.283783151064084,3.9574484278878805,3.3449251661232844,2.6809363137496587,2.0774710301101833,1.5840833257099665,1.200247279408344,0.9086569346507487,0.6898002451514907,0.5281873730884865,0.4042801849554865,0.3074787485644524,0.23109009916534645,0.17059452354720728,0.12233209450329416,0.08335349229426807,0.05158384308769124,0.02416728958191083,0.00027423553795543655},
+{1.7723426004335912,3.803036627874697,4.27819571371179,3.9436937158603866,3.3272413800199714,2.6620790332755955,2.05945273998156,1.5679272398808726,1.1862312912547324,0.8966791646729311,0.6796540664822405,0.5195471430652611,0.3968308804537611,0.30100450069190965,0.22542539258840097,0.16560162740314052,0.11789827313908857,0.07938901660155938,0.04797796875705282,0.0208270784419453,-0.002805846097317483},
+{1.7839689119248316,3.8093834553074433,4.27250099593089,3.929898989098514,3.3095799145860205,2.6432928146860863,2.0415387959167486,1.55188963901154,1.172334562604269,0.8848139968840569,0.6696113913862581,0.5109980761634654,0.38946232489630006,0.2946021209450041,0.21982478183430612,0.16066605598448627,0.11351591496770719,0.075470808215332,0.04441124879544026,0.017523186350812233,-0.005850408241154598},
+{1.7955889863471024,3.8156112939076934,4.2667002617431,3.91606557528331,3.291941603098624,2.624578081084155,2.0237290759988618,1.5359699482006286,1.1585562360236807,0.873060436969446,0.6596711657804276,0.5025391608778783,0.38217358585680944,0.28827075117590917,0.21428748000172818,0.15578709017633133,0.1091843639066885,0.07159822640808496,0.04088308840115377,0.014255238971690686,-0.00885982049263629},
+{1.8072022612759036,3.821720432170203,4.260794769829404,3.9021947867336544,3.2743272636693654,2.605935241049004,2.0060234473349676,1.520167588133123,1.1448954557427362,0.8614174968012932,0.6498323439468203,0.4941693968645579,0.3749637420808994,0.2820095441007238,0.20881271060564321,0.1509640207272591,0.10490297312294479,0.06777062964834142,0.03739291249016672,0.011022869955599802,-0.011834449696782462},
+{1.818808177252378,3.827711166723809,4.25478577343089,3.8882879204848293,3.256737699494124,2.5873646888401076,1.9884217663167243,1.5044819753009744,1.1313513677877989,0.8498841944906563,0.6400938885681465,0.485887794844631,0.3678318833610886,0.2758176631630934,0.2033997074359439,0.1461961481072349,0.10067110489328415,0.06398737509494276,0.03394016544554094,0.00782572034648491,-0.014774660020975959},
+{1.8304061778207905,3.833583802180643,4.248674520252865,3.87434625836711,3.239173699097185,2.568866804599637,1.970923878877216,1.48891252221866,1.117923120110951,0.8384595544409538,0.630454770759999,0.4776933765075964,0.3607771104126186,0.2696942823992384,0.1980477144178123,0.14148278236748885,0.09648813046706298,0.060247818379511736,0.03052431077135525,0.004663438023561761,-0.01768081301956774},
+{1.8419957095651036,3.8393386509865577,4.242462252372206,3.860371067084031,3.2216360365696555,2.550441954553229,1.9535296207440314,1.4734586376337648,1.1046098627148115,0.827142607404834,0.6209139700998655,0.4695851744142314,0.3537985347501116,0.263638586304401,0.19275598547386227,0.1368232430023894,0.09235342993095091,0.0565513136773739,0.027144830663475443,0.0015356771803379191,-0.020553267688015076},
+{1.8535762221446417,3.8449760332727516,4.236150206147888,3.8463635982900723,3.2041254718022887,2.53209049120912,1.9362388176886085,1.4581197267326516,1.0914107477731259,0.8159323905461888,0.6114704746528754,0.4615622318991618,0.3468952785650807,0.25764976970070097,0.18752378438802478,0.1322168588132706,0.0882663920757676,0.05289721405269383,0.02380122550917092,-0.0015579021605066044,-0.02339238050777607},
+{1.865147168328861,3.850496276708626,4.229739612134616,3.8323250886674227,3.1866427507127773,2.513812753555656,1.9190512857718671,1.4428951913413162,1.0783249297472435,0.8048279475088237,0.6021232809942696,0.4536236029731732,0.34006647460432127,0.25172703760640297,0.18235038467116807,0.12766296777419886,0.08422641426536912,0.049284872052126914,0.02049301332709781,-0.004617634597348426,-0.026198505483034765},
+{1.8767080040312234,3.8558997163558613,4.223231694999507,3.818256760001565,3.1691886054676544,2.495609067257179,1.9019668315861602,1.4277844301215061,1.0653515654985626,0.7938283284928435,0.5928713942285958,0.4457683522253245,0.3333112660491943,0.24586960510659367,0.17723506942843553,0.12316091689965043,0.08023290230755024,0.04571364051306598,0.017219729158551397,-0.007643849766056969,-0.028971994170216495},
+{1.88825818834219,3.8611866945237225,4.216627673441795,3.80415981925545,3.1517637546988806,2.4774797448483263,1.8849852524935673,1.4127868387621834,1.0524898143970491,0.7829325903392091,0.5837138280056328,0.43799555472492097,0.32662880639582303,0.24007669722526623,0.17217713122828973,0.11871006211408303,0.07628527032693871,0.04218287354743855,0.013980924420176694,-0.010636872723779259,-0.03171319570112527},
+{1.899797183561342,3.866357560625632,4.209928760115456,3.7900354586420004,3.134368903715255,2.45942508592673,1.8681063368605673,1.3979018101664176,1.0397388384259163,0.7721397966222827,0.5746496045330681,0.43030429592341046,0.3200182593362159,0.23434754879880526,0.16717587197324377,0.11430976812337193,0.07238294063984754,0.03869192765960159,0.010776166227539036,-0.013597024301276442,-0.03442245680045021},
+{1.9113244552286235,3.8714126710369623,4.20313616155473,3.7758848556947875,3.117004744708723,2.441445377344132,1.851329864289112,1.3831287346337875,1.0270978022825508,0.7614490177495109,0.5656777545859522,0.4226936715562449,0.31347879864032724,0.22868140435087272,0.16223060277226498,0.10995940828809056,0.06852534363105849,0.03524016295681942,0.0076050366981605475,-0.016524621425028006,-0.037100121798290524},
+{1.9228394721547388,3.8763523889541185,4.196251078102497,3.7617091733367474,3.0996719569557483,2.4235408933959355,1.8346556058441454,1.368467000038379,1.014565873475783,0.7508593310668252,0.5567973175129658,0.4151627875447666,0.3070096080390742,0.22307751796868597,0.15734064381483817,0.10565836449861284,0.06471191763251065,0.031826944412518196,0.004467132241796351,-0.019419977410366183,-0.03974653263827362},
+{1.9343417064506914,3.881177084254857,4.189274703841406,3.747509559946801,3.082371207013821,2.405711896009176,1.818083324277583,1.3539159920024482,1.0021422224195828,0.7403698209678272,0.5480073412395496,0.40771075989816147,0.30060988110831843,0.21753515318069003,0.1525053242466742,0.10140602705201762,0.06094210880385799,0.028451643145599476,0.0013620628449180997,-0.022283402226961242,-0.042362028881776134},
+{1.9458306335564708,3.8858871333598843,4.182208226527739,3.733287149424356,3.065103148913236,2.387958634928931,1.8016127742487986,1.3394750940658382,0.9898260225232631,0.7299795790044659,0.5393068822679333,0.4003367146155183,0.2942788211538196,0.2120535828356078,0.14772398204703902,0.09720179453076314,0.057215371014717,0.025113637683053608,-0.0017105486444363126,-0.025115202738057407,-0.04494694770871785},
+{1.9573057322689191,3.8904829190957284,4.1750528275279715,3.71904306125169,3.047868424344283,2.370281347903186,1.7852437025416505,1.325143687851227,0.977616450278285,0.7196877039967061,0.5306950056741364,0.393039787588047,0.2880156410971812,0.20663208898287358,0.14299596390770142,0.09304507368312284,0.053531165727496874,0.021812315177653495,-0.0047510672260324665,-0.027915682914919637,-0.04750162391532768},
+{1.968766484768761,3.894964830558893,4.167809681757931,3.7047784005542406,3.0306676628399405,2.352680260866131,1.7689758482780733,1.3109211532252791,0.9655126853417327,0.7094933021385768,0.5221707851019852,0.3858191245014785,0.28181956336278213,0.20126996275443493,0.1383206251134705,0.08893527930534685,0.04988896187613392,0.018547072557233944,-0.007759846446356335,-0.03068514402804269,-0.05002638990927324},
+{1.9802123766468123,3.8993332629812785,4.160479957624541,3.6904942581588815,3.0135014819541994,2.3351555881199157,1.7528089431282765,1.2968068684557805,0.9535139106165481,0.6993954870980438,0.5137333027542229,0.37867388073869424,0.27568981976571466,0.1959665042479189,0.1336973294243145,0.08487183412553492,0.04628823572817862,0.015317317586801162,-0.010737229083076658,-0.03342388481670513,-0.05252157570248835},
+{1.9916428969293853,3.9035886175969052,4.153064816970091,3.6761917106503543,2.9963704874361627,2.3177075325148615,1.7367427115175837,1.282800210364839,0.941619312328602,0.6893933801083079,0.5053816493807783,0.3716032212826163,0.2696256514007307,0.19072102241115793,0.12912544895904407,0.08085416868919716,0.04272847070658073,0.012122469829241903,-0.013683547811684644,-0.036132201638497105,-0.054987508902024675},
+{2.003057538102885,3.907731301509915,4.145565415018971,3.661871820425975,2.979275273400019,2.3003362856281284,1.7207768708299438,1.2689005544782124,0.9298280801006756,0.679486110048354,0.4971149242642663,0.36460632061938614,0.2636263085321995,0.1855328349280631,0.12460436408054008,0.07688172124647877,0.039209157137966855,0.008961961494612333,-0.016599125851524534,-0.03881038860044081,-0.05742451469921587},
+{2.01445579613761,3.9117617275638628,4.137982900326835,3.647535635748856,2.962216422491009,2.283042027940837,1.7049111316081473,1.2551072751708474,0.9181394070234323,0.6696728135108985,0.488932235202797,0.357682362641867,0.257691050485088,0.18040126810583973,0.12013346328251516,0.0729539376410293,0.03572979189164495,0.005835238171770502,-0.019484277588962633,-0.041458737673300015,-0.05983291585743359},
+{2.0258371705107687,3.9156803142123024,4.1303184147321295,3.6331841907998577,2.9451945060475224,2.2658249290136503,1.6891451977507812,1.2414197458087002,0.9065524897234466,0.659952634856225,0.4808326984901706,0.35083054055349433,0.25181914553696205,0.1753256567635361,0.115712143077787,0.0690702712004919,0.032289877880693554,0.0027417594394633007,-0.022339309175921432,-0.044077538790628576,-0.062213032698686804},
+{2.037201164228718,3.9194874853906656,4.122573093309961,3.61881850572855,2.928210084259435,2.2486851476608276,1.6734787667059576,1.2278373388869053,0.8950665284283713,0.650324726250777,0.47281543889353883,0.34405005677250317,0.2460098708110155,0.1703053441219144,0.11133980788805195,0.0652301826285941,0.028888923412106172,-0.000319000643162308,-0.025164519102439123,-0.046667079934029354,-0.06456518308930406},
+{2.0485472838484355,3.923183670389449,4.11474806432825,3.6044395867034607,2.9112637063228117,2.2316228321227354,1.6579115296618558,1.2143594261643806,0.8836807270293139,0.6407882476897535,0.4648795896286219,0.33734012283656084,0.24026251217013217,0.16533968169464175,0.10701586993514152,0.06143313989881715,0.025526441393101604,-0.003347553164261838,-0.027960198742302177,-0.04922764720601709,-0.06688968242492146},
+{2.0598750394982184,3.9267693037286726,4.106844449206096,3.5900484259619003,2.8943559105910683,2.2146381202368164,1.6424431717340795,1.2009853787949116,0.872394293140477,0.6313423670033165,0.4570242923325512,0.33069995930781787,0.23457636411197547,0.16042802918078125,0.1027397491337416,0.05767861814962261,0.022201948420773047,-0.006344394100891855,-0.030726632871138276,-0.05175952489177626,-0.06918684361497959},
+{2.071183944897637,3.9302448250336455,4.098863362474336,3.575646001859686,2.87748722472273,2.1977311396070305,1.6270733721498984,1.1877145674548033,0.8612064381561529,0.621986259846376,0.44924869703443415,0.3241287956784142,0.22895072966511582,0.1555697543585852,0.0985108729855654,0.053966099581216564,0.01891496379839032,-0.00931000416866552,-0.033464100156661694,-0.05426299551100759,-0.07145697706692299},
+{2.08247351737675,3.9336106789120517,4.0908059117382685,3.561233278921112,2.8606581658259156,2.180902007771763,1.6118018044293858,1.174546362467167,0.8501163773051236,0.6127191096722292,0.44155196212372333,0.31762587027645056,0.22338492028619159,0.15076423298057112,0.09432867647495716,0.05029507335382846,0.01566500853169437,-0.012244848772467279,-0.03617287362101874,-0.056738339860953266,-0.0737003906702831},
+{2.0937432778945673,3.9368673148322895,4.08267319764245,3.5468112078894336,2.843869240599594,2.1641508323701895,1.5966281365634674,1.1614801339228984,0.8391233297025358,0.603540107690599,0.4339332543164681,0.3111904301724484,0.21787825575810318,0.14601084866987527,0.09019260196591246,0.04666503548748469,0.012451604361844268,-0.015149378050406982,-0.03885322107541307,-0.05918583705159017,-0.07591738978079975},
+{2.1049927510567943,3.9400151870031355,4.0744663138375365,3.532380725778225,2.8271209454717954,2.147477711307109,1.5815520311889448,1.148515251798417,0.8282265183993175,0.5944484528108778,0.4263917486195463,0.30482173108632205,0.21243006408924642,0.14130899281787537,0.08610209910050277,0.04307548876326055,0.00927427288890859,-0.018024027002675445,-0.041505405527376395,-0.06160576453388945,-0.07810827720473927},
+{2.1162214651328575,3.9430547542547028,4.066186346949177,3.517942755923944,2.810413766734847,2.1308827329162505,1.5665731457604941,1.13565108607024,0.8174251704291982,0.5854433515715559,0.41892662829294997,0.29851903729487056,0.20703968141377455,0.13665806448306603,0.08205662469868076,0.039525942625979936,0.006132534832311501,-0.020869215696673597,-0.044129685561218726,-0.06399839812195052,-0.08027335318354449},
+{2.127428952072214,3.9459864799206774,4.057834376548828,3.5034982080399586,2.7937481806777376,2.1143659761220355,1.5516911327196763,1.1228870068264383,0.8067185168533912,0.576524018056985,0.411537084810217,0.29228162153981896,0.2017064518928997,0.13205747029118237,0.0780556426594578,0.036015913088357734,0.0030259094641187055,-0.023685349539731414,-0.04672631569231874,-0.0663640120097336,-0.08241291537893765},
+{2.1386147475199606,3.948810831721858,4.049411475126524,3.4890479782723767,2.777124653715712,2.09792751059981,1.5369056396609948,1.110222384375051,0.7961057928030011,0.5676896738027304,0.40422231781708784,0.28610876493641263,0.19642972761721933,0.12750662433655768,0.07409862386343168,0.03254492263654874,-0.00004608576097675683,-0.026472819610823053,-0.04929554669601772,-0.06870287878304344,-0.0845272588585941},
+{2.1497783908317443,3.951528281650984,4.040918708065517,3.474592949257936,2.760543642517217,2.0815673969345427,1.5222163094950127,1.0976565893495114,0.7855862375192154,0.5589395476908525,0.39698153508847306,0.27999975688258744,0.19120886851007654,0.12300494808470566,0.0701850460766525,0.029112500137097937,-0.0030839353672151414,-0.02923200304293165,-0.05183762591194687,-0.07101526942733527,-0.08661667608248123},
+{2.1609194250879913,3.9541393058588477,4.032357133618759,3.4601339901842247,2.7440055941282697,2.0652856867779934,1.5076227806085762,1.085188992811153,0.7751590943913377,0.550272875836505,0.38981395248381256,0.27395389496872713,0.18604324223194396,0.1185518702761148,0.06631439385580754,0.025718180745259445,-0.006088125810377176,-0.03196326344806849,-0.0543527975246576,-0.07330145333186242,-0.0886814568899602},
+{2.172037397107453,3.9566443845416863,4.023727802887194,3.4456719568524714,2.7275109460943483,2.049082423004333,1.4931246870221522,1.07281896634884,0.7648236109927185,0.5416889014672315,0.3827187939009081,0.26797048488802105,0.18093222408583454,0.11414682683124852,0.062486158454712754,0.022361505814679168,-0.009059145230591169,-0.0346669513773571,-0.05684130282142387,-0.07556169829060431,-0.09072188848771899},
+{2.1831318574600918,3.9590440018298776,4.015031759799817,3.431207691743139,2.7110601265799157,2.0329576398642595,1.478721658544328,1.0605458821758071,0.7545790391146421,0.5331868747963614,0.3756952912283096,0.2620488403474376,0.1758751969237327,0.10978926075673295,0.058699837732093946,0.01904202280840807,-0.011997483022259517,-0.03734340480910979,-0.05930338042812018,-0.07779627050038296,-0.09273825543861342},
+{2.194202360479287,3.961338645677881,4.006270041095433,3.4167420240844937,2.6946535544856367,2.0169113631375413,1.4644133209234764,1.0483691132237287,0.7444246347982159,0.5247660528918364,0.36874268429632723,0.25618828297931673,0.17087155105404067,0.10547862205272603,0.05495493606063761,0.015759285211235322,-0.014903629243726882,-0.03999294965831235,-0.06173926652406826,-0.08000543455651189,-0.09473083965147225},
+{2.2052484642734043,3.9635288077554796,3.9974436763061183,3.402275769924349,2.6782916395633865,2.0009436102840654,1.4501992959966343,1.0362880332341142,0.7343596583643242,0.5164256995417758,0.36186022082675307,0.2503881422536025,0.16592068415004146,0.10121436762145454,0.05125096423730267,0.012512852443322363,-0.01777807389306258,-0.04261590030150032,-0.0641491950367878,-0.08218945344628467,-0.09669992037191243},
+{2.2162697307367227,3.965614983340294,3.9885536877423555,3.387809732205138,2.6619747825291706,1.9850543905933378,1.4360792018356232,1.0243020168470562,0.7243833744417006,0.5081650851180088,0.35504715638136686,0.24464775539072356,0.1610220011593722,0.09699596117691166,0.04758743939487511,0.009302289775116119,-0.02062130607829546,-0.045212560111543794,-0.06653339781761874,-0.08434858854058397,-0.09864577417421144},
+{2.2272657255597004,3.9675976712115397,3.9796010904797106,3.3733447008424116,2.645703375173945,1.9692437053324476,1.422052652890411,1.0124104396873939,0.7144950519931503,0.4999834864387081,0.34830275430928564,0.23896646727512005,0.1561749142144998,0.09282287315569498,0.043963884914745004,0.006127168243524004,-0.02343381311088897,-0.047783221997414485,-0.06889210479922894,-0.0864830995838494,-0.10056867495426378},
+{2.238236018238643,3.9694773735450712,3.970586892347149,3.358881452806888,2.629477800472527,1.9535115478925167,1.4081192601297832,1.0006126784483538,0.7046939643400014,0.49188018663120453,0.34162628569324566,0.23334363036944528,0.15137884254420061,0.08869458062898472,0.040379830340900674,0.002987064569336697,-0.026216079550449974,-0.05032816894453467,-0.0712255441360671,-0.08859324468263288,-0.10246889392364932},
+{2.2491801820847357,3.97125459580969,3.9615120939168658,3.34442075221015,2.6132984326906032,1.9378579039336132,1.3942786311793274,0.988908110972709,0.6949793891848107,0.4838544749959396,0.3350170292948691,0.22777860462943222,0.14663321238603388,0.08461056721564109,0.03683481129511424,-0.0001184389241269991,-0.028968586226948125,-0.052847674551829545,-0.07353394232886096,-0.09067928029294096,-0.10434669960483549},
+{2.260097794232453,3.9729298466646705,3.9523776884955923,3.3299633503939665,2.597165637489898,1.9222827515281342,1.3805303704567515,0.9772961163315106,0.6853506086323786,0.47590564687242276,0.32847427149898134,0.2222707574194415,0.1419374568998057,0.08057032299641476,0.033328369393311345,-0.003189754391162458,-0.031691809264306495,-0.05534200356208578,-0.07581752433427932,-0.09274146120654711,-0.10620235782751475},
+{2.270988435647397,3.9745036378585836,3.94318466211742,3.315509986023383,2.5810797720316443,1.9067860613026766,1.3668740793046037,0.9657760749004533,0.6758069092091288,0.46803300350798416,0.3219973062570495,0.21681946342869887,0.1372910160820166,0.07657334442925719,0.029860052163105104,-0.006227288542632083,-0.034386219126404584,-0.05781141238269601,-0.07807651366090321,-0.0947800405364525,-0.10803613172609772},
+{2.2818516911335025,3.975976484129323,3.933933993538006,3.3010613851834822,2.5650411850783397,1.8913677965783724,1.3533093561203715,0.9543473684339058,0.6663475818808814,0.4602358519299789,0.31558543502978814,0.21142410458822095,0.1326933366812871,0.07261913426571974,0.026429412962482718,-0.009231442723745724,-0.03705227970345137,-0.060256149594280425,-0.08031113245261823,-0.09679526970165217,-0.10984828173834758},
+{2.292687149339686,3.9773489031054092,3.9246266542302215,3.286618261479869,2.549050217093919,1.876027913509718,1.33983579648404,0.9430093801366775,0.6569719220690844,0.45251350482203945,0.3092379667289986,0.20608406998844483,0.12814387211475478,0.06870720146842908,0.02303601089962777,-0.01220261299072299,-0.03969044745356398,-0.06267645644510136,-0.08252160156054276,-0.09878739841135559,-0.11163906560516498},
+{2.3034944027658866,3.97862141520848,3.9152636083811174,3.272181316142807,2.5331072003423647,1.8607663612218628,1.3264529932830906,0.9317614947335434,0.6476792296655238,0.4448652804048569,0.30295421765868813,0.20079875579755707,0.12364208238543334,0.06483706112962886,0.019679410753863376,-0.015141190186733343,-0.04230117061131368,-0.06507256732953408,-0.08470814060454572,-0.10075667464880819,-0.11340873837150448},
+{2.3142730477685705,3.979794543557067,3.9058458128902735,3.2577512381349893,2.5172124589848397,1.84558308194641,1.3131605368350185,0.9206030985366024,0.6384688090455808,0.4372905023219033,0.29673351145552906,0.1955675651805337,0.11918743400053157,0.06100823439077423,0.01635918289770432,-0.01804756001906474,-0.04488488847208457,-0.06744471024920567,-0.0868709680253704,-0.10270334465484078,-0.11515755238841363},
+{2.3250226845656368,3.980868813871537,3.8963742173694094,3.243328704262833,2.5013663091753986,1.830478011155687,1.2999580150073644,0.9095335795104921,0.6293399690800552,0.4297884995304043,0.2905751790287076,0.19038990821889426,0.11477939989071875,0.05722024836316994,0.013074903220000603,-0.020922103143575253,-0.047442030758411455,-0.06979310725571945,-0.08901030112831439,-0.1046276529112767,-0.11688575731618167},
+{2.33574291724079,3.981844754380296,3.886849764143276,3.2289143792912354,2.4855690591553063,1.815451077695505,1.2868450133353015,0.8985523273355218,0.6202920231456119,0.4223586061978151,0.2844785584992081,0.18526520183116874,0.11041745933033442,0.053472636049638506,0.009826153050160548,-0.02376519526928782,-0.049973017072038155,-0.07211797487414275,-0.0911263561193457,-0.10652984212431091,-0.11859360012857188},
+{2.3464333537473583,3.9827228957271714,3.8772733882517882,3.21450891606168,2.4698210093460555,1.8005022039164262,1.2738211151368186,0.8876587334687559,0.6113242891338813,0.4150001616039655,0.2784429951385946,0.18019286969408865,0.10610109785853039,0.0497649362672092,0.006612519083436836,-0.026577207303330547,-0.052478256433307925,-0.07441952450670371,-0.09321934813447787,-0.10841015320797416,-0.12028132511812166},
+{2.3570936059115764,3.983503770880021,3.867646017453366,3.20011295561359,2.454122452441127,1.7856313058035211,1.2608859016255214,0.8768521912031039,0.6024360894592588,0.4077125100489871,0.27246784130732943,0.17517234216449787,0.10182980720134027,0.04609669357081345,0.0034335933072644365,-0.02935850556078049,-0.054958146907671986,-0.07669796281633778,-0.09528949126314055,-0.11026882526777979,-0.12194917390248154},
+{2.3677232894353284,3.9841879150405166,3.8579685722294306,3.1857271273087533,2.4384736734964916,1.7708382931046203,1.2480389520210735,0.866132095724446,0.5936267510654328,0.4004950007670599,0.2665524563926837,0.17020305620198736,0.09760308519466593,0.042467458177977827,0.00028897292863350535,-0.03210945206273526,-0.05741307531755503,-0.07895349208992901,-0.09733699856622519,-0.11210609558465377,-0.12359738543176775},
+{2.378322023898379,3.9847758655551417,3.8482419657900824,3.1713520489587443,2.4228749500199958,1.7561230694570864,1.2352798436573442,0.8554978441668555,0.5848956054306962,0.39334698784598854,0.26069620674629357,0.16528445529226207,0.09342043570817654,0.038876785894503066,-0.0028217396975137483,-0.03483040493863036,-0.0598434170365648,-0.0811863105812614,-0.0993620820894186,-0.11392219959923018,-0.1252261959969026},
+{2.3888894327600765,3.9852681618273524,3.838467104080864,3.1569883269551378,2.4073265520595695,1.7414855325130854,1.2226081520882475,0.8449488356659343,0.5762419885720527,0.38626783015253746,0.25489846562140006,0.16041598937122784,0.0892813685701071,0.03532423804111583,-0.00589893713887844,-0.03752171893707805,-0.062249535862026056,-0.0833966128338235,-0.10136495287236455,-0.1157173708965975,-0.12683583923890585},
+{2.399425143360562,3.9856653452309394,3.828644885790633,3.142636556402383,2.3918287422903917,1.7269255740633789,1.210023451191347,0.8344844714103319,0.5676652410481793,0.37925689126344647,0.24915861310983745,0.15559711474981547,0.08518539949295356,0.03180938138108487,-0.008943006955404502,-0.04018374603599978,-0.06463178396105748,-0.08558458998375934,-0.10334582095415269,-0.11749184119156564,-0.12842654615911434},
+{2.4099287869214607,3.985967959024526,3.8187762023604814,3.128297321253148,2.3763817761009847,1.71244308015963,1.1975253132692274,0.8241041546914581,0.5591647079612605,0.3723135394019833,0.24347603607880292,0.1508272940395294,0.08113205000005269,0.02833178804878706,-0.011954331767895903,-0.042816836130257066,-0.06699050188485901,-0.08775043004333549,-0.10530489537556596,-0.1192458403145211,-0.1299985451302889},
+{2.420399998546102,3.986176548267269,3.808861937993705,3.1139711944460036,2.36098590167832,1.698037931235244,1.1851133091486894,0.8138072909514555,0.5507397389577411,0.36543714737988114,0.2378501281074654,0.14610599607872982,0.07712084735304148,0.024891035479216842,-0.014933289325664095,-0.045421337765341324,-0.06932601864550177,-0.08989431816540547,-0.10724238417848275,-0.12097959619792824,-0.13155206190858015},
+{2.43083841721923,3.9862916597356732,3.798902969666757,3.099658738045204,2.3456413600919475,1.683710002224724,1.1727870082777805,0.8035932878294471,0.5423896882280206,0.3586270925444629,0.23228028942345347,0.1414326958596423,0.07315132448018379,0.021486706338420564,-0.017880252573222333,-0.04799759888003243,-0.0716386518493176,-0.09201643688940868,-0.1091584944027888,-0.12269333486353054,-0.13308731964631618},
+{2.441243685806258,3.986313841841594,3.7889001671412004,3.0853605033824554,2.330348385377203,1.6694591626815791,1.1605459788207104,0.7934615552061169,0.5341139145051348,0.3518827567307549,0.22676592683927374,0.1368068744560998,0.0692230199055634,0.018118388454855583,-0.02079558971603464,-0.05054596751941727,-0.0739287078808986,-0.09411696636948645,-0.11105343208111003,-0.12438728041029846,-0.13460453890558088},
+{2.451615451052048,3.986243644551354,3.778854392976605,3.0710770312004287,2.3151072046175116,1.6552852768947663,1.148389787750673,0.783411505246648,0.5259117810624432,0.34520352621835076,0.22130645368869498,0.13222801895201292,0.06533547767912729,0.014785674751651618,-0.02367966428533519,-0.0530667924818389,-0.07619648213176763,-0.09619608458533538,-0.11292740223165874,-0.12606165500316013,-0.13610393767254117},
+{2.4619533635792155,3.986081619306002,3.768766502544376,3.0568088517978684,2.2999180380258237,1.6411882040036778,1.1363180009406086,0.7734425524420562,0.5177826557103604,0.3385887916927894,0.21590128976314507,0.12769562237056759,0.06148824730757625,0.011488163179770755,-0.026532835202032506,-0.055560423868338295,-0.07844225926790595,-0.09825396753641708,-0.11478060884944265,-0.12771667886255272,-0.13758573137249605},
+{2.472257077885994,3.985828318942689,3.75863734404247,3.0425564851760836,2.2847810990252126,1.6271677981116852,1.124330183251941,0.7635541136489584,0.5097259107921613,0.33203794821119637,0.21054986124815844,0.12320918360415013,0.05768088368609484,0.008225456652054836,-0.0293554568397057,-0.058027213510004935,-0.08066631353053198,-0.10029078942015471,-0.11661325489607577,-0.1293525702548181,-0.13905013288560325},
+{2.4825262523436504,3.9854842976171856,3.7484677585110178,3.028320441186666,2.2696965943286793,1.6132239083982516,1.11242589862133,0.7537456081278141,0.501740923178891,0.3255503951719308,0.20525160065991319,0.11876820734499814,0.053912947030908764,0.004997162978145234,-0.03214787908671103,-0.06046751525642299,-0.08286890906478511,-0.10230672279474765,-0.11842554228838939,-0.1309695454834678,-0.14049735256325474},
+{2.4927605491934495,3.9850501107274745,3.738258579848762,3.0141012196802115,2.2546647240181477,1.5993563792295973,1.1006047101454475,0.7440164575796613,0.49382707426340205,0.31912553628796864,0.200005946781891,0.11437220401657264,0.05018400281266703,0.0018028948002696034,-0.0349104474074067,-0.06288168511626974,-0.0850503002712743,-0.10430193872724032,-0.12021767188603415,-0.1325678188813375,-0.14192759824506557},
+{2.5029596345431955,3.9845263148384706,3.7280106348303605,2.9998993106559024,2.2396856816227326,1.585565050267951,1.0888661801638366,0.7343660861813978,0.4859837499535574,0.31276277956376825,0.19481234460169647,0.11002068970565489,0.04649362169063706,-0.0013577304701179096,-0.037643502902511505,-0.06527008124851158,-0.08721073217577312,-0.10627660692750515,-0.12198984347822783,-0.13414760280363683,-0.143341075276437},
+{2.51312317836335,3.983913467607829,3.717724743124472,2.985715194411739,2.2247596541962666,1.5718497565793812,1.077209870339872,0.7247939206196266,0.4782103406646192,0.3064615372753437,0.18967024524806486,0.1057131860951582,0.042841379447705524,-0.0044850907148545165,-0.04034738236860591,-0.0676330638091062,-0.08935044081270416,-0.10823089586881685,-0.12374225576979779,-0.1357091076219083,-0.14473798652666411},
+{2.523250854482729,3.9832121277128376,3.707401717312634,2.971549341695253,2.209886822394105,1.5582103287402145,1.0656353417398459,0.7152993901231085,0.47050624131085106,0.30022122595329254,0.18457910592808766,0.10144922039765812,0.03922685692617983,-0.007579559170750359,-0.04302241835678909,-0.06997099466343118,-0.09146965361840632,-0.11016497289573081,-0.12547510636664339,-0.13725254171889523,-0.14611853240755043},
+{2.5333423405837725,3.9824228547783704,3.6970423629088884,2.957402213854527,2.1950673605492694,1.544646592942049,1.0541421549102303,0.7058819264938453,0.4628708512963635,0.2940412663685153,0.1795383898646866,0.09722832528963565,0.03564963996437735,-0.010641504490450447,-0.045668939230505655,-0.07228423697872709,-0.09356858983054332,-0.11207900432000599,-0.1271885917607373,-0.13877811148432462,-0.147482910892502},
+{2.5433973181974423,3.9815462093059466,3.6866474783801664,2.9432742629893656,2.1803014367478974,1.53115837109538,1.0427298699531296,0.6965409641368329,0.45530357450522846,0.28792108352037854,0.17454756623435544,0.09305003884642966,0.03210931933400012,-0.013671290802481504,-0.048287269222549084,-0.07457315471366714,-0.09564746089036666,-0.11397315550532688,-0.12888290731475985,-0.1402860213115959,-0.14883131753606235},
+{2.553415472697695,3.9805827526038153,3.676217855167372,2.929165932102421,2.1655892129040666,1.5177454809318323,1.0313980465999641,0.6872759400885102,0.44780381929088364,0.28186010662707484,0.1696061101051993,0.08891390447789774,0.028605490678281675,-0.016669277770498245,-0.05087772849125718,-0.07683811202385418,-0.09770647084489206,-0.11584759094160949,-0.1305582472464692,-0.14177647359537185,-0.15016394549386303},
+{2.5633964932955786,3.9795330467181125,3.6657542777071557,2.91507765525014,2.150930844833977,1.5044077361050128,1.0201462442834095,0.6780862940439335,0.44037099846485345,0.2758577691179418,0.16471350237528593,0.08481947086477941,0.025137754450902987,-0.019635820651736198,-0.053440633175910274,-0.07907947260273386,-0.09974581674638434,-0.11770247430966599,-0.13221480461288257,-0.143249668730065,-0.1514809855429543},
+{2.573340073032941,3.9783976543650543,3.6552575234543867,2.901009857693377,2.1363264823295176,1.4911449462900002,1.0089740222076227,0.66897146838271,0.43300452928481387,0.2699135086275152,0.15986922971133422,0.08076629189575864,0.02170571585566726,-0.022571270354681303,-0.05597629545134071,-0.08129759897725718,-0.10176568904686428,-0.11953796853700396,-0.1338527712943552,-0.14470580510919998,-0.15278262610248594},
+{2.583245908775766,3.9771771388641692,3.6447283629052447,2.8869629560474914,2.121776269231244,1.4779569172814624,0.9978809394167961,0.659930908193717,0.4257038334420198,0.2640267669910937,0.155072784487755,0.07675392660522444,0.018308984786924477,-0.025475973495968834,-0.05848502358176781,-0.08349285177681282,-0.10376627198565025,-0.12135423584552762,-0.13547233797862646,-0.14614507912564745,-0.15406905325471654},
+{2.5931137012071352,3.975872064072553,3.634167559620976,2.8729373584318423,2.1072803435007694,1.464843451090432,0.9868665548620473,0.650964061298635,0.41846833704811953,0.2581969902416098,0.1503236647260583,0.07278193911172019,0.014947175770741662,-0.02835027245651829,-0.06096712197386822,-0.0856655889926227,-0.10574774396823308,-0.12315143779186015,-0.1370736941449015,-0.14756768517270707,-0.1553404507663142},
+{2.6029431548198323,3.9744829943201503,3.623575870252233,2.8589334646184796,2.092838837292584,1.4518043460397256,0.9759304274666948,0.6420703782743222,0.41129747062137917,0.25242362860760376,0.14562137403464553,0.06884989855708418,0.011619907906807251,-0.03119450543691564,-0.06342289122909159,-0.08781616524313272,-0.10771027793503818,-0.12492973530100064,-0.13865702804803734,-0.14897381564602435,-0.15659700010992644},
+{2.612733977908586,3.973010494346035,3.6129540445640322,2.8449516661799596,2.0784518770253224,1.4388393968580389,0.9650721161899386,0.6332493124740624,0.4041906690723388,0.24670613651211798,0.14096542154899677,0.06495737904627129,0.00832680481106397,-0.03400900651205171,-0.06585262819523267,-0.08994493105902847,-0.10965404171887681,-0.12668928869396456,-0.1402225267028885,-0.15036366094632084,-0.15783888048599312},
+{2.62248588256197,3.971455129235709,3.6023028254612743,2.8309923466361187,2.0641195834524786,1.4259483947727083,0.9542911800889742,0.6245003200477072,0.39714737168891917,0.24104397257233007,0.1363553218722644,0.06110395958785359,0.00506749455906238,-0.03679410568502648,-0.06825662601727137,-0.09205223219952177,-0.11157919839010791,-0.12843025771002792,-0.14177037586887564,-0.15173740948291625,-0.15906626884477418},
+{2.6321985846539584,3.96981746435937,3.5916229490148144,2.8170558815996998,2.0498420717326016,1.4131311276011609,0.9435871783795755,0.6158228599607427,0.3901670221210049,0.2354365995997595,0.13179059501628723,0.05728922403519844,0.0018416096300257982,-0.03955012894033006,-0.07063517418748881,-0.09413840900952822,-0.11348590658873316,-0.13015280152415032,-0.14330076003483097,-0.15309524767802468,-0.16027933990857518},
+{2.6418718038351328,3.968098065311187,3.5809151444880833,2.803142638920737,2.0356194514989503,1.4003873798410529,0.9329596704951607,0.6072163940123043,0.38324906836451617,0.2298834846008937,0.12727076634302797,0.053512761028311595,-0.0013512131483791653,-0.042277398296306216,-0.0729885585948727,-0.09620379582539297,-0.11537432084283322,-0.13185707876008848,-0.14481386240416838,-0.1544373599717943,-0.16147826619413364},
+{2.6515052635235867,3.9662974978495305,3.5701801343642163,2.7892529788295617,2.02145182692865,1.3877169327591157,0.9224082161443871,0.5986803868521697,0.3763929627449981,0.22438409877808416,0.12279536650644932,0.049774163936349314,-0.004511332654575633,-0.044976231856912706,-0.07531706157381986,-0.0982487204349705,-0.11724459187291422,-0.13354324749969113,-0.1463098648804338,-0.15576392882807655,-0.16266321803516243},
+{2.661098690895477,3.9644163278381903,3.55941863437369,2.7753872540783684,2.0073392968113386,1.3751195644787115,0.9119323753672862,0.5902143059967461,0.3695981619007387,0.2189379175305814,0.11836393139483056,0.046073030800789255,-0.007639103526920207,-0.047646943862782225,-0.07762096195214667,-0.10027350359613929,-0.11909686688188625,-0.13521146528879752,-0.1477889480532733,-0.15707513474089033,-0.16383436360501102},
+{2.6706518168752824,3.962455121188538,3.5486313535224463,2.7615458100812114,1.9932819546173088,1.3625950500661181,0.9015317085899737,0.5818176218440886,0.36286412676543944,0.213544420455584,0.1139760020735332,0.04240896427925592,-0.010734876216864309,-0.05028984474159651,-0.07990053509843151,-0.10227845861628136,-0.12093128983051502,-0.13686188914013248,-0.14925129118486463,-0.158371156241563,-0.16499186893943424},
+{2.680164376125733,3.9604144438026334,3.5378189941204705,2.747728985052379,1.9792798885651788,1.3501431616155368,0.8912057766779621,0.5734898076879603,0.35619032255045363,0.20820309134918308,0.1096311247282208,0.03878157158999667,-0.013798997041443165,-0.05290524115778229,-0.08215605296885463,-0.10426389099389288,-0.12274800169832051,-0.13849467553355513,-0.15069707219685216,-0.1596521699065183,-0.16613589795944572},
+{2.6896361070374475,3.9582948615172864,3.526982251810836,2.7339371101430423,1.9653331816890591,1.3377636683328564,0.8809541409880949,0.5652303397309687,0.349576218726613,0.20291341820710349,0.1053288506085382,0.03519046445700258,-0.01683180823509665,-0.05549343606153593,-0.08438778415442295,-0.10623009812228457,-0.12454714072997966,-0.1401099804139652,-0.1521264676578165,-0.16091835036568858,-0.16726661249423833},
+{2.6990667517182674,3.956096940049043,3.5161218155991705,2.7201705095761213,1.951441911905263,1.325456336618168,0.8707763634191359,0.557038697096795,0.343021289005657,0.1976748932251394,0.10106873597225294,0.031635259055768715,-0.019833648000832663,-0.05805472873718792,-0.08659599393156768,-0.10817736905433034,-0.1263288426673872,-0.14170795918715925,-0.153539652771313,-0.16216987031152377,-0.16838417230415165},
+{2.7084560559823,3.95382124494009,3.5052383678835524,2.706429500779298,1.9376061520785368,1.3132209301470483,0.8606720064610353,0.5489143618415414,0.33652501132128254,0.1924870127992031,0.0968503420298646,0.0281155759596887,-0.02280485056073922,-0.060589414850914694,-0.08878094432298489,-0.11010598432638137,-0.12809324096760066,-0.14328876671387702,-0.1549368013645021,-0.16340690050856882,-0.16948873510366957},
+{2.7178037693386807,3.9514683415050866,3.494332584484805,2.6927143945161145,1.9238259700878246,1.3010572099506237,0.8506406332428943,0.540856818964219,0.33008686780983354,0.18734927752490552,0.09267323488968124,0.024631040087079566,-0.025745746205850677,-0.06309778649780393,-0.09094289418038964,-0.11201621583877545,-0.129840467006959,-0.14485255730227034,-0.15631808587740179,-0.1646296098035846,-0.17058045658443105},
+{2.7271096449800396,3.949038794778886,3.483405134677174,2.679025495015089,1.9101014288915803,1.2889649344944234,0.8406818075796633,0.5328655564163941,0.32370634479064186,0.18226119219659973,0.08853698550337101,0.021181280648827155,-0.028656661345381994,-0.06558013224829048,-0.09308209930468046,-0.11390832678985979,-0.13157065027172346,-0.1463994846989992,-0.15768367735278588,-0.16583816513619262,-0.17165949043824608},
+{2.736373439770719,3.9465331694651637,3.4724566812193878,2.665363100096837,1.896432586592616,1.2769438597560392,0.8307950940175836,0.5249400651110218,0.31738293274603646,0.17722226580582565,0.0844411696119843,0.017765931096652997,-0.031537918555329655,-0.06803673719395709,-0.09519881261995958,-0.11578257166002101,-0.13328391853561805,-0.14792970207911643,-0.15903374542672605,-0.16703273155000087,-0.17272598838008257},
+{2.745594914234696,3.9439520298859336,3.461487880386066,2.6517275012991015,1.8828194965025062,1.2649937393015986,0.8209800578784086,0.5170798389304793,0.3111161263010394,0.17223201153910003,0.08038536769245401,0.014384629071990982,-0.03438983662645418,-0.07046788299272275,-0.0972932844151354,-0.11763919624196886,-0.13498039802469802,-0.14944336203492897,-0.16036845831982233,-0.16821347220420743,-0.17378010017103554},
+{2.7547738325432647,3.9412959399319325,3.450499381999478,2.638118983999706,1.8692622072055372,1.253114324361067,0.8112362653024199,0.5092843747338256,0.30490542420275785,0.16728994677500544,0.07636916490457134,0.011037016355472943,-0.03721273061164788,-0.07287384791341772,-0.09936576266075509,-0.11947843771332171,-0.1366602135699786,-0.15094061656395977,-0.16168798282910626,-0.16938054838563743,-0.17482197364124352},
+{2.763909962502445,3.9385654630138878,3.4394918294616272,2.6245378275373623,1.855760762622212,1.241305363902394,0.8015632832902658,0.501553172363305,0.29875032929949197,0.16239559308053772,0.07239215103843902,0.0077227388170148705,-0.040006911872694104,-0.07525490687975497,-0.10141649340064099,-0.12130052474746679,-0.1383234887482719,-0.15242161705615268,-0.16299248432063887,-0.1705341195211983,-0.17585175471275138},
+{2.7730030755401605,3.9357611620146513,3.4284658597866633,2.6109843053303203,1.842315202072327,1.2295666047045117,0.7919606797436483,0.4938857346501151,0.29265034851956834,0.15754847620667406,0.06845392046240448,0.004441446366498647,-0.042772688126430224,-0.07761133151371108,-0.1034457212094192,-0.12310567765866189,-0.13997034601168287,-0.1538865142804447,-0.16428212672280879,-0.17167434319072813,-0.17686958742230435},
+{2.782052946693145,3.9328835992421545,3.4174221036335735,2.59745868499283,1.8289255603375825,1.217897791429194,0.7824280235048638,0.4862815674194558,0.28660499284991514,0.15274812608313668,0.06455407207146888,0.0011927929050445148,-0.04551036349031524,-0.07994339017831498,-0.10545368969952448,-0.12489410857738571,-0.14160090680619913,-0.15533545837080787,-0.16555707252032245,-0.17280137514020982,-0.1778756139440591},
+{2.7910593545936373,3.9299333363832516,3.4063611853391884,2.5839612284494047,1.8155918677237826,1.2062986666918036,0.772964884395248,0.47874017949488396,0.2806137773143927,0.1479940768123259,0.06069220923617784,-0.002023563723133283,-0.04822023852741468,-0.08225134801986367,-0.10744064205578699,-0.1266660216520638,-0.14321529167982158,-0.1567685988118768,-0.16681748274890343,-0.1739153692953301,-0.178869974612207},
+{2.800022081455819,3.926910934458361,3.3952837229514476,2.5704921920468604,1.8023141501225823,1.1947689711309208,0.7635708332525157,0.4712610827019861,0.2746762209518874,0.1432858666624049,0.05686793975198866,-0.0052079617782897075,-0.05090261029080523,-0.08453546700956271,-0.10940682157265712,-0.1284216132734266,-0.1448136203806657,-0.15818608442424706,-0.16806351699068017,-0.17501647777536045,-0.17985280794349207},
+{2.8089409130620435,3.923816953776962,3.38419032826294,2.557051826664135,1.7890924290728076,1.1833084434768815,0.7542454419670407,0.4638437918713913,0.2687918467941919,0.13862303805952386,0.05308087578911639,-0.008360735672141552,-0.0535577723674095,-0.08679600598460459,-0.11135247216854544,-0.13016107231794427,-0.14639601194548701,-0.15958806334953665,-0.16929533337027214,-0.17610485090733632,-0.18082425065961957},
+{2.8178156387488134,3.9206519538938776,3.373081606844678,2.5436403778198593,1.7759267218213388,1.171916820619222,0.7449882835170853,0.45648782484113953,0.26296018184367065,0.13400513757917132,0.04933063384285907,-0.011482216014291193,-0.05618601492126775,-0.08903322068869271,-0.11327783885332009,-0.13188458040697565,-0.14796258477908586,-0.16097468303529544,-0.17051308855156252,-0.17718063724051478,-0.18178443770954547},
+{2.8266460513925886,3.9174164935664155,3.3619581580801454,2.530258085777717,1.7628170413835729,1.1605938376730616,0.7357989320030001,0.4491927024584268,0.2571807570507344,0.12943171593665184,0.04561683468439745,-0.014572729658089908,-0.05878762473624953,-0.0912473638120148,-0.11518316812821827,-0.13359231217848494,-0.14951345672506638,-0.16234609021982344,-0.17171693773514704,-0.17824398356108873,-0.18273350229163499},
+{2.8354319473953247,3.914111130712246,3.350820575199528,2.516905185649534,1.7497633966034376,1.1493392280444048,0.7266769626804167,0.44195794858073856,0.2514531072911272,0.12490232797668217,0.04193910331207303,-0.017632599745944368,-0.06136288525821941,-0.09343868503067776,-0.11706870830173224,-0.13528443556840808,-0.15104874512843786,-0.16370243091697328,-0.17290703465645405,-0.17929503490713813,-0.1836715758756867},
+{2.844173126669844,3.9107364223681285,3.339669445314199,2.5035819074961716,1.7367657922129953,1.138152723494408,0.7176219519924553,0.43478309007639104,0.24577677134304118,0.12041653266211538,0.03829706890314094,-0.020662145754073546,-0.06391207663665464,-0.09560743104560675,-0.11893470970989824,-0.13696111209897702,-0.15256856689056314,-0.165043850400986,-0.17408353158452208,-0.18033393458379654,-0.18459878822481146},
+{2.8528693926249984,3.907292924649396,3.328505349451388,2.490288476426173,1.7238242288916015,1.1270340542025952,0.7086334776009585,0.427667656824501,0.2401512918640701,0.11597389306179268,0.03469036476599651,-0.023661683536720778,-0.06643547576572895,-0.09775384562091856,-0.1207814248343786,-0.13862249717154435,-0.1540730385169713,-0.16637049319141214,-0.17524657932142013,-0.18136082417861585,-0.18551526741715935},
+{2.8615205521506093,3.903781192710207,3.317328862589046,2.477025112692203,1.7109387033246464,1.1159829488290438,0.699711118416783,0.4206111817143902,0.23457621536800943,0.11157397633753102,0.03111862829287543,-0.02663152536982795,-0.06893335632486769,-0.09987816962177706,-0.12260910831643307,-0.14026874036168469,-0.15556227615854776,-0.16768250303816976,-0.17639632720230508,-0.18237584357711276,-0.1864211398674934},
+{2.8701264156022623,3.900201780704593,3.3061405536909017,2.4637920317853,1.6981092082618603,1.1049991345755537,0.690854454629155,0.4136132006444506,0.2290510922015163,0.10721635373026105,0.027581500913025234,-0.02957197999417581,-0.07140598881877393,-0.10198064105173332,-0.12441801686906387,-0.1418999857145549,-0.1570363956466226,-0.16898002290676278,-0.17753292309608934,-0.18337913097847353,-0.1873165303485937},
+{2.8786867967858685,3.896555241748232,3.294940985741687,2.4505894445269285,1.6853357325752,1.094082337245801,0.6820630677341162,0.4066732525204791,0.22357547652063822,0.10290060054532373,0.02407862804634667,-0.03248335265799892,-0.0738536406169455,-0.10406149508956417,-0.12620840909316294,-0.14351637203873632,-0.15849551252246447,-0.17026319496371575,-0.17865651340671754,-0.18437082291140694,-0.1882015620124999},
+{2.8872015129420734,3.892842127880991,3.283730715782515,2.437417557158876,1.6726182613162965,1.0832322813044903,0.6733365405620763,0.3997908792534983,0.21814892626721927,0.09862629613694174,0.020609659057504368,-0.03536594515907597,-0.07627657599267536,-0.10612096412560937,-0.12798054520626356,-0.1451180331969632,-0.15993974206167083,-0.17153216056223744,-0.17976724307502262,-0.18535105425012427,-0.18907635641157386},
+{2.8956703847304763,3.889062990030208,3.2725102949464193,2.4242765714310073,1.65995677577348,1.0724486899355201,0.6646744573044877,0.3929656257570804,0.21277100314519617,0.09439302389188561,0.017174247210503285,-0.0382200558863071,-0.07867505616155071,-0.108159277797618,-0.12973468669456772,-0.14670509839235385,-0.1613691992939294,-0.1727870602281519,-0.1808652555811526,-0.18631995823043088,-0.18994103351938604},
+{2.9040932362136824,3.885218377974696,3.2612802684940365,2.4111666846868895,1.6473512535283816,1.061731285099158,0.6560764035396647,0.3861970399441848,0.20744127259678882,0.09020037121234706,0.013772049623732343,-0.04104597986077964,-0.08104933931945496,-0.11017666302610989,-0.13147109590024664,-0.14827769244894157,-0.16278399901860252,-0.1740280336461256,-0.18195069294754865,-0.18727766646591837,-0.1907957117514188},
+{2.912469894841189,3.8813088403094924,3.2500411758494185,2.3980880899473376,1.6348016685120956,1.0510797875882498,0.64754196625776,0.3794846727235292,0.20215930377860006,0.08604792949804593,0.010402727225468074,-0.04384400877633047,-0.08339968068007825,-0.11217334404925929,-0.13319003555673553,-0.14983593608546675,-0.16418425581655816,-0.1752552196462085,-0.18302369574245717,-0.18822430896423903,-0.19164050798558452},
+{2.920800191433102,3.877334924411301,3.238793550635961,2.3850409759918683,1.622307991060925,1.040493917083458,0.6390707338849164,0.3728280779955003,0.19692466953762772,0.0819352941275856,0.007065944709842821,-0.046614431039608294,-0.08572633251194275,-0.11414954245730659,-0.13489176828489105,-0.1513799461815626,-0.16557008405863466,-0.1764687561907172,-0.18408440308395596,-0.1891600141434495,-0.19247553758254984},
+{2.9290839601636955,3.873297176404651,3.2275379207124537,2.372025527438129,1.6098701879716892,1.029973392207547,0.6306622963066117,0.3662268126476243,0.1917369463872003,0.07786206443908435,0.0037613704932711566,-0.04935753180964303,-0.08802954417494889,-0.11610547722650245,-0.1365765560626019,-0.1529098360356054,-0.16694159791110902,-0.17766878036147726,-0.18513295264447255,-0.1900849088484099,-0.19330091440586844},
+{2.937321038544835,3.869196141128775,3.21627480820924,2.359041924819315,1.5974882225566094,1.0195179305787248,0.6223162448902143,0.3596804365496101,0.18659571448284662,0.07382784371010409,0.0004886766713323651,-0.05207359303692742,-0.09030956215644838,-0.11804136475259572,-0.13824465967979607,-0.15442571561363838,-0.1682989113385036,-0.17885542834745016,-0.1861694806557864,-0.19099911836722872,-0.194116750841917},
+{2.94551126740922,3.865032362105139,3.2050047295644517,2.346090344659587,1.585162054697756,1.0091272488630345,0.6140321725067591,0.35318851254797007,0.1815005575980999,0.06983223913689618,-0.0027524610238902937,-0.0547628935020162,-0.09256663010685368,-0.11995741888386725,-0.13989633818987773,-0.15592769178891108,-0.16964213810402756,-0.18002883543276071,-0.18719412191448392,-0.1919027664477357,-0.19492315781962954},
+{2.9536544908935176,3.8608063815057028,3.1937281955603636,2.3331709595475734,1.5728916409010794,0.9988010628258354,0.6058096735519699,0.34675060646024547,0.17645106310025535,0.06587486181299892,-0.005962363266018142,-0.057425708853649386,-0.09480098887478318,-0.121853850953717,-0.14153184836753707,-0.15741586857166706,-0.17097139176794066,-0.1811891359851434,-0.1882070097878568,-0.1927959753139798,-0.19572024483003514},
+{2.961750556421323,3.856518740121807,3.1824457113597897,2.3202839382079197,1.5606769343499935,0.9885390873823409,0.5976483439665328,0.34036628706883393,0.17144682192608654,0.06195532670719948,-0.009141347176136015,-0.06006231164640364,-0.09701287654175386,-0.12373086981281171,-0.1431514441816721,-0.15889034732893792,-0.1722867856840763,-0.18233646344482635,-0.1892082762202183,-0.19367886568273143,-0.1965081199455883},
+{2.9697993146860138,3.852169977333772,3.171157776542582,2.3074294455709894,1.5485178849585457,0.978341036647261,0.5895477812556462,0.3340351261144415,0.16648742855756068,0.05807325264089545,-0.012289726364102246,-0.06267297137787654,-0.09920252845642429,-0.12558868186079694,-0.144755376290905,-0.16035122699417237,-0.17358843299475277,-0.18347095031386254,-0.19019805173962137,-0.19455155677998492,-0.1972868898392929},
+{2.97780061963345,3.84776063108113,3.1598648851421762,2.2946076428406976,1.5364144394241412,0.9682066239835332,0.5815075845078497,0.3277566982891674,0.16157248099763963,0.05422826226487803,-0.0154078109694128,-0.06525795452541137,-0.10137017726839434,-0.12742749107758064,-0.1463438915679191,-0.16179860426662343,-0.17487644662427404,-0.18459272814592864,-0.19117646546495848,-0.19541416635744893,-0.19805665980362278},
+{2.9857543284445662,3.8432912378335113,3.1485675256821906,2.281818687560543,1.5243665412798448,0.9581355620501574,0.5735273544131647,0.3215305812292328,0.15670158074634624,0.05041998203556107,-0.01849590770162323,-0.06781752458236641,-0.10351605296156877,-0.1292474990541954,-0.14791723265761741,-0.16323257380048245,-0.17615093927119638,-0.1857019275366006,-0.19214364511342824,-0.1962668107090145,-0.19881753376923106},
+{2.9936603015178203,3.8387623325621867,3.1372661812130835,2.269062733677871,1.5123741309462455,0.9481275628491478,0.5656066932805395,0.31535635550736546,0.15187433277742737,0.04664804219068645,-0.021554319880329922,-0.07035194209393142,-0.10564038288708705,-0.13104890502324262,-0.14947563757293886,-0.16465322838381014,-0.17741202339952342,-0.18679867811411588,-0.193099717008345,-0.19710960468719682,-0.1995696143234524},
+{3.0015184024515436,3.834174448712227,3.125961329348838,2.256339931606386,1.500437145782891,0.9381823377716041,0.5577452050546323,0.30923360462485316,0.14709034551609834,0.04291207672452722,-0.02458334747471324,-0.07286146469250333,-0.10774339179583074,-0.13283190588892757,-0.15101933933109982,-0.1660606591073737,-0.17865981122897018,-0.18788310853063628,-0.1940448060872796,-0.1979426617195333,-0.20031300272859515},
+{3.0093284980261656,3.82952811817531,3.1146534423036925,2.243650428286987,1.4885555201392915,0.9282995976429143,0.5499424953319361,0.3031619150032733,0.14234923081853312,0.039211723362617315,-0.02758328714264617,-0.07534634713261501,-0.10982530187050502,-0.13459669625668635,-0.15254856563203842,-0.1674549555235431,-0.17989441472442325,-0.18895534645401335,-0.19497903591050528,-0.19876609382493765,-0.20104779894001987},
+{3.0170904581863276,3.824823871263133,3.103342986928884,2.230994367246917,1.4767291854054836,0.9184790527670991,0.5421981713762547,0.29714087597591377,0.13765060395387946,0.03554662353603415,-0.030554432269369894,-0.07780684132543396,-0.11188633275730875,-0.13634346846241419,-0.15406353857997707,-0.16883620579544067,-0.1811159455847134,-0.19001551856006293,-0.19590252866974026,-0.19958001162999733,-0.20177410162400936},
+{3.0248041560229,3.820062236681453,3.092030424749424,2.2183718886573147,1.464958070062168,0.9087204129703043,0.5345118421335626,0.2911700797788911,0.1329940835896346,0.03191642235525564,-0.03349707300574049,-0.08024319637282895,-0.11392670159719605,-0.13807241260130199,-0.15556447444824323,-0.17020449683657976,-0.1823245152308029,-0.1910637505253646,-0.1968154051971663,-0.20038452438521182,-0.20249200817542853},
+{3.0324694677548782,3.8152437415047005,3.0807162120008638,2.20578312938916,1.4532420997304039,0.8990233876434438,0.5268831182462347,0.2852491215419784,0.128379291781198,0.028320768583622855,-0.03641149630604897,-0.08265565860100949,-0.11594662305672743,-0.13978371655627897,-0.1570515834868309,-0.17155991444123683,-0.18352023479347418,-0.19210016702056754,-0.19771778497470144,-0.2011797399811579,-0.20320161473516785},
+{3.0400862727112097,3.8103689111512367,3.069400799666103,2.1932282230676936,1.441581197220882,0.8893876857840267,0.5193116120666839,0.279377599279155,0.12380585396629179,0.024759314610427838,-0.03929798596541799,-0.08504447159374845,-0.11794630935853073,-0.14147756602607858,-0.15852506977163627,-0.17290254340585565,-0.18470321510061125,-0.19312489170423153,-0.19860978614352404,-0.2019657649645845,-0.2039030162073818},
+{3.0476544533124823,3.805438269359159,3.0580846335121525,2.1807073001253117,1.4299752825827503,0.8798130160371389,0.5117969376704026,0.2735551138788809,0.11927339896475561,0.02123171642365415,-0.042156822656777324,-0.08740987622518605,-0.11992597031135893,-0.14315414455293693,-0.15998513109382936,-0.17423246764176048,-0.1858735666641357,-0.19413804721717615,-0.19949152551381508,-0.20274270455442145,-0.2045963062765106},
+{3.0551738950525764,3.800452338162716,3.0467681541269296,2.1682204878530094,1.4184242731520118,0.8702990867356307,0.5043387108684286,0.26778126909411654,0.1147815589839731,0.01773763358239591,-0.04498828396742222,-0.08975211069222573,-0.12188581333976513,-0.14481363355006324,-0.16143195888747383,-0.17554977027949914,-0.18703139966667914,-0.19513975517735713,-0.20036311857471872,-0.20351066265770376,-0.205281577424094},
+{3.0626444864801754,3.7954116378692766,3.035451796956008,2.1557679104503755,1.406928083599488,0.8608456059394826,0.49693654921924657,0.2620556715320832,0.11032996962990463,0.014276729188973207,-0.047792644435156934,-0.09207141054652482,-0.12382604351339316,-0.1464562123295073,-0.16286573819320715,-0.17685453376511936,-0.18817682394804058,-0.1961301361752585,-0.20122467950449718,-0.2042697418854022,-0.20595892094537546},
+{3.070066119180232,3.7903166870368823,3.0241359923393736,2.1433496890742165,1.3954866259783403,0.8514522814743861,0.4895900720401355,0.25637793064378744,0.10591826992342115,0.010848669860774627,-0.05057017558402639,-0.09436800872608378,-0.1257468635758856,-0.14808205813235922,-0.1642866476555927,-0.17814683994867722,-0.18930994899149317,-0.19710930976979588,-0.20207632118086855,-0.2050200435681566,-0.20662842696569372},
+{3.0774386877553437,3.78516800245236,3.0128211655481514,2.130965941885813,1.3840998097711692,0.8421188209695372,0.48229890041797385,0.2507476587133073,0.10154610232135534,0.007453125701842596,-0.05332114595964238,-0.09664213558644438,-0.127648473973425,-0.1496913461655792,-0.1656948595516099,-0.1794267701652893,-0.19043088390998927,-0.19807739448473202,-0.2029181551915158,-0.20576166777190788,-0.2072901844566701},
+{3.0847620898070334,3.7799660991099677,3.0015077368212775,2.1186167840968646,1.3727675419366645,0.832844931894646,0.4750626572195177,0.2451644708468546,0.09721311274145406,0.004089770274228174,-0.056045821164100194,-0.09889401893149277,-0.129531072882899,-0.15128424965266346,-0.1670905398476566,-0.18069440530901182,-0.19153973743230593,-0.19903450780559026,-0.20375029184474613,-0.2064947133134205,-0.20794428125218387},
+{3.092036225916985,3.774711490190605,2.99019612140217,2.106302328014156,1.3614897269558253,0.8236303215961908,0.46788096710115684,0.2396279849616217,0.09291895059022376,0.0007582805691341704,-0.0587444638904973,-0.10112388404388224,-0.13139485623970537,-0.15286093990785515,-0.1684738482824123,-0.18194982589984893,-0.19263661788918396,-0.19998076617706378,-0.20457284018029612,-0.20721927777569524,-0.20859080406414104},
+{3.099260999628191,3.769404687041558,2.9788867295753376,2.09402268308299,1.3502662668777548,0.8144746973329057,0.4607534565181698,0.2341378217744183,0.08866326879251771,-0.0025416630221352515,-0.06141733395705064,-0.1033319537150745,-0.13324001776519745,-0.15442158644456114,-0.16984493847290494,-0.1831931121441859,-0.1937216331994937,-0.20091628500091466,-0.20538590798026546,-0.20793545752326859,-0.20922983849804042},
+{3.1064363174260445,3.764046199156778,2.9675799667029494,2.081777955929407,1.3390970613650004,0.8053777663105284,0.45367975373347796,0.22869360479010942,0.08444572382164055,-0.005810376737395456,-0.06406468834082206,-0.10551844827500738,-0.13506674899377535,-0.15596635712750806,-0.17120395804117763,-0.18442434398894292,-0.1947948908564741,-0.20184117863434944,-0.2061896017801692,-0.20864334771739146,-0.20986146906833245},
+{3.11356208871936,3.758636534157666,2.9562762332613484,2.069568250401243,1.3279820077384807,0.7963392357158048,0.4466594888259164,0.22329496028985954,0.08026597572871023,-0.009048173472960983,-0.06668678121104941,-0.1076835856213925,-0.13687523929962686,-0.1574954183750007,-0.1725510487590071,-0.1856436011697692,-0.1958564979140758,-0.2027555603888633,-0.20698402688009584,-0.20934304233109033,-0.21048577921357606},
+{3.1206382258213337,3.753176197774397,2.9449759248775136,2.0573936676080633,1.3169210010219627,0.7873588127497706,0.4396922936980317,0.21794151731919334,0.07612368817004692,-0.012255362813160173,-0.06928386396208874,-0.10982758124864693,-0.13866567592312212,-0.1590089354130221,-0.1738863467082276,-0.18685096325358838,-0.1969065609734463,-0.20365954252954227,-0.20776928735595532,-0.21003463416409723,-0.211102851311391},
+{3.1276646439304683,3.7476656938277526,2.9336794323654627,2.0452543059599857,1.3059139339861128,0.7784362046603172,0.43277780208341443,0.21263290767588028,0.07201852843142183,-0.015432251059973062,-0.07185618524597287,-0.1119506482764654,-0.1404382439968683,-0.16050707257773586,-0.17520998245433084,-0.18804650967583064,-0.1979451861695921,-0.20455323627481264,-0.20854548607081858,-0.2107182148576595,-0.21171276669321343},
+{3.1346412611114083,3.742105524211426,2.9223871417625773,2.033150261205455,1.2949606971921095,0.7695711187740413,0.4259156495535795,0.20736876589764647,0.06795016744809762,-0.018579141262778983,-0.07440399100458775,-0.1140529974780389,-0.1421931265714297,-0.16198999365799902,-0.17652208123112084,-0.18923031977269084,-0.19897247915824479,-0.20543675179662968,-0.20931272468632472,-0.2113938749092126,-0.21231560565884863},
+{3.141567998275769,3.7364961888748773,2.9110994343658776,2.0210816264679967,1.2840611790348304,0.7607632625274109,0.41910547352440375,0.2021487292497285,0.06391827981973194,-0.02169633324819285,-0.07692752450147017,-0.11613483730791939,-0.14393050464071366,-0.16345786226548298,-0.17782276313435025,-0.1904024728087427,-0.19998854510296146,-0.20631019822108626,-0.21007110367415446,-0.21206170368692787,-0.2129114474908287},
+{3.148444779162874,3.730838185806623,2.899816686768204,2.0090484922819614,1.273215265785596,0.7520123434972316,0.4123469132621261,0.19697243771226722,0.05992254381935157,-0.024784123649981785,-0.07942702635323157,-0.11819637392954244,-0.14565055716703043,-0.1649108422172898,-0.17911214332240108,-0.1915630480002642,-0.20099348866248118,-0.20717368362943853,-0.21082072232755816,-0.2127217894441219,-0.21350037046857542},
+{3.155271530320489,3.725132011018048,2.8885392708943334,1.997050946627332,1.262422841634495,0.7433180694304431,0.4056396098889315,0.1918395339675572,0.05596264139577489,-0.027842805939043695,-0.08190273456060881,-0.12023781124240301,-0.14735346110583045,-0.16634909791468494,-0.18039033222221262,-0.19271212453459946,-0.20198741397835632,-0.20802731505952698,-0.21156167877292534,-0.21337421933352838,-0.21408245188236344},
+{3.162048181085493,3.719378158527671,2.877267554037002,1.9850890749635903,1.2516837887322636,0.7346801482732475,0.39898320638811247,0.18674966338715185,0.05203825816902026,-0.03087267045343379,-0.08435488453914862,-0.12225935090889849,-0.1490393914301199,-0.16777279470167905,-0.18165743573880916,-0.1938497815858971,-0.20297042466288212,-0.20887119850758604,-0.21229406998139375,-0.21401907942143614,-0.21465776804709724},
+{3.1687746635645095,3.7135771203458954,2.8660018988928555,1.9731629602626952,1.2409979872317491,0.7260982881995781,0.39237734760883414,0.18170247401883463,0.04814908341839774,-0.03387400442842756,-0.08678370914952632,-0.12426119238083605,-0.15070852115456554,-0.16918209918846216,-0.18291355546691995,-0.1949760983275419,-0.2039426237873317,-0.20970543893042765,-0.21301799178048617,-0.21465645470168368,-0.2152263943158924},
+{3.175450912614521,3.707729386460207,2.8547426635982895,1.9612726830412022,1.2303653153289291,0.7175721976389225,0.3858216802704976,0.1766976165734602,0.0442948100631456,-0.03684709202660188,-0.08918943872750493,-0.1262435329256118,-0.1523610213592864,-0.1705771795268198,-0.18415878890332452,-0.19609115394158583,-0.20490411387051433,-0.21053014024798583,-0.2137335388657649,-0.21528642910951684,-0.21578840509347258},
+{3.182076865823431,3.701835444820841,2.843490201765214,1.9494183213915466,1.2197856493035149,0.7091015853035094,0.3793158529667208,0.17173474441167416,0.04047513463561187,-0.03979221436792163,-0.09157230111353647,-0.12820656765206723,-0.15399706121334225,-0.17195820562738107,-0.1853932296586963,-0.19719502762547195,-0.2058549968676624,-0.21134540534620821,-0.21444080481250244,-0.21590908553530233,-0.2163438738493756},
+{3.188652463490617,3.6958957813268944,2.8322448625167103,1.9375999510125301,1.2092588635591204,0.7006861602148662,0.37285951616894153,0.1668135135305158,0.03668975724711874,-0.042709649559816876,-0.0939325216820081,-0.13015048953602137,-0.1556168079979139,-0.17332534931151697,-0.18661696766783573,-0.19828779859632067,-0.206795374159655,-0.21215133608028125,-0.21513988208735266,-0.21652450583809765,-0.21689287313097497},
+{3.1951776486074412,3.6899108798128837,2.8210069905225854,1.9258176452390348,1.1987848306630038,0.6923256317297626,0.36645232222964913,0.16193358254991055,0.03293838154676416,-0.04559967272723191,-0.09627032337013967,-0.13207548944548836,-0.15722042712919115,-0.1746787843937412,-0.18783008939733106,-0.19936954609303725,-0.20772534654258598,-0.21294803327817352,-0.21583086206002258,-0.217132770859079,-0.2174354745763187},
+{3.201652366837747,3.6838812220357315,2.8097769260348273,1.9140714750709904,1.1883634213853855,0.6840197095655405,0.3600939253852626,0.15709461269905672,0.0292207146735094,-0.04846255604264067,-0.09858592670653382,-0.13398175616558416,-0.1588080821809646,-0.17601868669331852,-0.18903267804978052,-0.20044034937647803,-0.2086450142176824,-0.21373559674449313,-0.2165138350149374,-0.21773396043482565,-0.21797174892678778},
+{3.2080765664983315,3.677807287662203,2.7985550049229473,1.9023615092016348,1.1779945047383416,0.6757681038248549,0.3537839817586502,0.15229626780271516,0.025536467202003088,-0.05129856875600082,-0.10087954983938155,-0.13586947642312044,-0.16037993490692412,-0.1773452339763591,-0.19022481376383493,-0.20150028772788098,-0.2095544767815716,-0.21451412526463126,-0.2171888901628869,-0.2183281534104552,-0.21850176603957228},
+{3.2144501985394025,3.671689554256745,2.7873415587092163,1.890687814045075,1.1676779480142716,0.6675705250198173,0.3475221493613102,0.14753821426740255,0.021885353082637993,-0.054107977224642556,-0.10315140856433047,-0.1377388349108984,-0.1619361452626763,-0.17865860583187657,-0.19140657380942114,-0.2025494404457766,-0.21045383321691039,-0.21528371660919332,-0.2178561156526554,-0.21891542765261937,-0.2190255948999732},
+{3.2207732165250156,3.6655284972697557,2.7761369146037707,1.8790504537632036,1.1574136168239468,0.6594266840955662,0.34130808809521573,0.1428201210674985,0.01826708957641149,-0.05689104494307176,-0.10540171635201445,-0.13959001431169624,-0.16347687142747297,-0.1799589834870438,-0.1925780327775964,-0.20358788684153983,-0.21134318188336382,-0.21604446753869305,-0.21851559858262093,-0.21949586006234845,-0.21954330363352545},
+{3.2270455766135027,3.659324590026266,2.7649413955396254,1.8674494902919603,1.147201375134132,0.6513362924532693,0.3351414597543312,0.1381416597312698,0.014681397185180061,-0.059648032572673704,-0.10763068437525146,-0.1414231953219627,-0.1650022698256641,-0.1812465495682372,-0.1937392627645897,-0.20461570623375916,-0.21222262050895718,-0.21679647380850364,-0.219167425012327,-0.22006952658775297,-0.22005495951794965},
+{3.2332672375378904,3.6530783037150325,2.7537553202075475,1.855884983367006,1.1370410853047979,0.6432990619725623,0.3290219280258131,0.1335025043268147,0.011127999577931622,-0.06237919797130794,-0.10983852153591292,-0.14323855667521665,-0.166512495147877,-0.18252148781537572,-0.19489033354964827,-0.20563297794156768,-0.2130922461817825,-0.21753983017405407,-0.21981167997401577,-0.22063650223658057,-0.22056062899493312},
+{3.2394381605863107,3.646790107378014,2.742579003090811,1.8443569905487909,1.1269326081259041,0.6353147050334418,0.3229491584908965,0.1289023314479374,0.007606623513709578,-0.06508479622277327,-0.11202543449146532,-0.14503627516515272,-0.16800770037191734,-0.1837839827576105,-0.19603131276640073,-0.2066397812770582,-0.21395215534207504,-0.2182746303962499,-0.22044844748411785,-0.22119686108862288,-0.22106037768173675},
+{3.245558309582401,3.6404604679002635,2.731412754499828,1.8328655672470722,1.1168758028537715,0.6273829345376128,0.3169228186254765,0.12434082019995032,0.004116998761816048,-0.06776507966613966,-0.11419162768119284,-0.14681652566846778,-0.1694880367834117,-0.1850342193586447,-0.19716226606750656,-0.2076361955369147,-0.21480244377465746,-0.2190009672471206,-0.22107781055470133,-0.22175067630798226,-0.2215542703826421},
+{3.251627650865706,3.634089850000192,2.720256880606648,1.8214107667448936,1.10687052724704,0.6195034639293093,0.3109425778003981,0.11981765218541757,0.0006588580199232245,-0.07042029792492607,-0.116337303352097,-0.14857948116739464,-0.17095365399617446,-0.18627238263988413,-0.19828325728242407,-0.2086222999933533,-0.21564320660175,-0.21971893251566366,-0.2216998512048629,-0.22229802015518654,-0.22204237110022368},
+{3.257646153272082,3.6276787162202258,2.7091116834793305,1.809992640222044,1.0969166376022081,0.6116760072155907,0.30500810728145206,0.11533251148983721,-0.0027680631693076177,-0.07305069793611707,-0.11846266158448518,-0.15032531277196293,-0.17240469997232244,-0.18749865728934037,-0.19939434856819904,-0.20959817388447488,-0.21647453827615395,-0.22042861701388983,-0.22231465047207022,-0.2228389639991643,-0.22252474304646686},
+{3.263613788114099,3.621227526917838,2.697977461116177,1.7986112367780245,1.0870139887887666,0.6039002789861238,0.29911908022909317,0.11088508466726855,-0.006164026502517836,-0.07565652397901004,-0.12056790031724435,-0.15205418974198218,-0.17384132104212757,-0.1887132272637202,-0.20049560055320317,-0.21056389640411308,-0.21729653257480214,-0.22113011058305096,-0.22292228842344364,-0.2233735783290723,-0.2230014486537168},
+{3.2695305291614423,3.6147367402569484,2.6868545074798282,1.7872666034545392,1.0771624342839146,0.5961759944324604,0.2932751716978791,0.10647506072591223,-0.009529291000303296,-0.07823801770387682,-0.12265321537280824,-0.15376627950875033,-0.17526366192361598,-0.1899162753905446,-0.20158707247381888,-0.21151954669124876,-0.2181092825926835,-0.2218235021000382,-0.2235228441669776,-0.22390193276597958,-0.2234725495854737},
+{3.2753963526213274,3.6082068121996866,2.675743112531231,1.7759587852575354,1.0673618262068738,0.5885028693668207,0.2874760586356453,0.10210213111364116,-0.012864113091712676,-0.08079541816043748,-0.12471880048182066,-0.15546174769649523,-0.1766718657419195,-0.19110798297644233,-0.20266882230409586,-0.212465203819064,-0.2189128807371374,-0.22250887948394535,-0.22411639586269472,-0.22442409607440897,-0.22393810674702846},
+{3.2812112371189266,3.6016381964985347,2.6646435622634517,1.76468782517881,1.057612015352795,0.5808806202403886,0.28172141988241645,0.09776598970349341,-0.016168746698110102,-0.08332896182613038,-0.1267648473074927,-0.15714075814354686,-0.17806607404837246,-0.19228852942701502,-0.20374090687843208,-0.21340094678369315,-0.21970741872251448,-0.22318632970277932,-0.22470302073373113,-0.2249401361737321,-0.22439818029594216},
+{3.2869751636777926,3.5950313446887905,2.6535561387353543,1.7534537642172012,1.0479128512262526,0.5733089641611295,0.2760109361690637,0.09346633277912689,-0.019443443315968777,-0.08583888263417636,-0.12879154546966648,-0.15880347292324834,-0.17944642683937043,-0.19345809188291602,-0.20480338200738785,-0.21432685449272307,-0.22049298756521066,-0.22385593878031437,-0.2252827950773525,-0.22545012014942536,-0.22485282965237255},
+{3.2926881157003174,3.5883867060814203,2.6424811201051397,1.7422566413993839,1.0382641820743508,0.5657876189111377,0.27034429011571576,0.08920285902023709,-0.02268845209819807,-0.08832541200143128,-0.13079908256858505,-0.16045005236460988,-0.1808130625749889,-0.19461684487601835,-0.20585630258674012,-0.21524300575350486,-0.22126967757906651,-0.2245177918030805,-0.22585579427589592,-0.22595411426418383,-0.22530211350925314},
+{3.298350078948171,3.5817047277562137,2.6314187806637137,1.731096493800281,1.0286658549194085,0.5583163029635203,0.2647211662299255,0.08497526948795117,-0.025904019933642365,-0.09078877885601261,-0.13278764420836417,-0.16208065507269806,-0.1821661181973561,-0.1957649600087943,-0.20689972269991683,-0.21614947926129752,-0.2220375783711293,-0.2251719729274668,-0.2264220928076308,-0.22645218396889152,-0.22574608984231506},
+{3.303961041522798,3.5749858545553113,2.620369390867936,1.7199733565631228,1.0191177155912656,0.5508947354988326,0.2591412509046027,0.08078326761018936,-0.02909039152444653,-0.09322920966470535,-0.13475741402018532,-0.16369543794878325,-0.18350572914880103,-0.1969026056593578,-0.2079336957139867,-0.2170463535873126,-0.2227967788377813,-0.22581856538694667,-0.22698176425754674,-0.22694439391345736,-0.22618481591997291},
+{3.309520993845907,3.5682305290770535,2.609333217373698,1.7088872629191578,1.0096196087591816,0.5435226364210625,0.25360423241571917,0.07662655916701008,-0.03224780946100697,-0.09564692846013345,-0.13670857368519682,-0.16529455621022635,-0.18483202938976304,-0.1980299467139341,-0.20895827436936287,-0.2179337071666709,-0.22354736716122003,-0.2264576514994001,-0.22753488132805444,-0.2274308079575047,-0.22661834831305228},
+{3.3150299286399765,3.5614391916701384,2.598310523068831,1.6978382442070257,1.0001713779633343,0.5361997263731835,0.24810980091978696,0.07250485227593279,-0.03537651429427718,-0.09804215686769663,-0.13864130295713717,-0.16687816341012432,-0.1861451514164747,-0.19914714432795094,-0.20997351086342345,-0.21881161828632242,-0.2242894308062996,-0.22708931267453306,-0.22808151584960537,-0.22791148918092954,-0.2270467429043861},
+{3.3204878409088154,3.5546122804281404,2.5873015671058863,1.6868263298918278,0.9907728656459424,0.5289257267522739,0.24265764845112434,0.0684178573772446,-0.03847674460523499,-0.1004151141322705,-0.14055577968468003,-0.16844641145671033,-0.18744522627842236,-0.20025435571639874,-0.21097945692824321,-0.2196801650729523,-0.225023056517717,-0.22771362942138812,-0.2286217387912273,-0.22838649989431672,-0.22747005489826028},
+{3.325894727918111,3.5477502311843145,2.5763066049347074,1.6758515475838973,0.9814239131819803,0.5217003597242187,0.23724746891890688,0.06436528721929835,-0.04154873707134473,-0.10276601714466295,-0.14245217983350347,-0.1699994506325129,-0.18873238359557837,-0.20135173397362707,-0.2119761639026428,-0.2205394254809034,-0.2257483303175475,-0.22833068135592932,-0.2291556202709692,-0.22885590164922467,-0.2278883388297292},
+{3.331250589176019,3.5408534775067197,2.5653258883348333,1.6649139230572678,0.9721243609095123,0.5145233482379916,0.23187895810401263,0.06034685684379777,-0.04459272652989811,-0.10509508046782799,-0.14433067750808937,-0.1715374296132779,-0.1900067515754209,-0.2024394279223481,-0.21296368279876685,-0.22138947728013977,-0.22646533750311737,-0.22894054720870194,-0.2296832295662627,-0.2293197552483307,-0.2283016485737836},
+{3.3365554264138044,3.533922450693679,2.554359665447717,1.6540134802678992,0.9628740481596467,0.5073944160395406,0.2265518136556723,0.05636228357107998,-0.04760894603813081,-0.10740251636283221,-0.14619144497325345,-0.17306049548665384,-0.1912684570297296,-0.20351758199124462,-0.21394206436339022,-0.22223039804427702,-0.2271741626452091,-0.22954330483255633,-0.230204635124186,-0.2297781207554457,-0.2287100373543919},
+{3.3418092435664586,3.5269575797694896,2.54340818080869,1.6431502413716117,0.9536728132860913,0.5003132876852652,0.2212657350879177,0.05241128698539416,-0.05059762693005763,-0.10968853481457277,-0.1480346526754089,-0.17456879377064521,-0.1925176253911729,-0.20458633612030275,-0.2149113591341646,-0.22306226513869892,-0.22787488958659852,-0.23013903121042523,-0.2307199045716419,-0.23023105750539377,-0.229113557753402},
+{3.347012046753409,3.5199592914804905,2.532471675378727,1.6323242267417983,0.9445204936943407,0.4932796885551077,0.21602042377584746,0.04849358892017862,-0.053558998869990285,-0.11195334355725044,-0.14986046926357183,-0.1760624684318411,-0.19375438072968437,-0.2056458256927382,-0.21587161749099762,-0.22388515570879072,-0.22856760144090857,-0.23072780246315908,-0.23122910472544222,-0.23067862411376294,-0.2295122617193159},
+{3.352163844259217,3.512928010291382,2.521550386575915,1.6215354549868908,0.9354169258704771,0.4862933448652594,0.21081558295170658,0.04460891344334522,-0.05649328990271952,-0.11419714809958781,-0.15166906161010404,-0.1775416619034107,-0.19497884576862543,-0.20669618149218733,-0.21682288970275734,-0.224699146668289,-0.2292523805917793,-0.23130969385739777,-0.23173230160229522,-0.23112087848652343,-0.22990620057593109},
+{3.357264646514344,3.505864158381869,2.5106445483066304,1.6107839429676063,0.9263619454095994,0.47935398368049015,0.20565091770078525,0.040756986842565006,-0.0594007265003834,-0.1164201517498033,-0.15346059483120406,-0.1790065151028828,-0.19619114190075257,-0.20773752968370204,-0.21776522596949804,-0.22550431468778975,-0.22992930869234554,-0.23188477981348532,-0.23222956042870152,-0.23155787782951812,-0.2302954250308556},
+{3.3623144660759223,3.4987681556435652,2.4997543909963698,1.6000697058139786,0.9173553870438735,0.472461332926105,0.2005261349571493,0.036937537610565764,-0.06228153360604185,-0.11862255564032954,-0.15523523230714148,-0.18045716744969795,-0.1973913892039692,-0.20876999181695716,-0.2186986764603881,-0.2263007361834087,-0.2305984666650076,-0.23245313391341313,-0.23272094565075263,-0.2319896786578239,-0.23067998518389696},
+{3.367313317608593,3.4916404196772075,2.4888801416202044,1.5893927569421897,0.9083970846702117,0.4656151213995438,0.1954409434991959,0.033150296430439465,-0.06513593467401671,-0.12080455875228512,-0.15699313570224543,-0.18189375688254883,-0.19857970645689008,-0.2097936848500314,-0.2196232913475437,-0.22708848730562692,-0.2312599347015017,-0.2330148289087907,-0.23320652094383254,-0.23241633680498722,-0.23105993053532786},
+{3.372261217865369,3.484481365790139,2.478022023732803,1.578753108071209,0.8994868713775862,0.4588150787816172,0.19039505394505207,0.029394996160963135,-0.06796415170705748,-0.12296635793969869,-0.15873446498464502,-0.18331641987650235,-0.19975621115420067,-0.21080872119206176,-0.22053912083595634,-0.2278676439283259,-0.23191379226324665,-0.23356993672883772,-0.2336863492222245,-0.2328379074321359,-0.2314353099940266},
+{3.3771581856685486,3.4772914069940746,2.4671802574979793,1.5681507692392522,0.890624579473971,0.4520609356474008,0.18538817874781163,0.025671371821937832,-0.07076640529041266,-0.12510814795347847,-0.16045937844576635,-0.1847252914599098,-0.20092101952182562,-0.2118152087630665,-0.22144621518971913,-0.22863828163802752,-0.2325601180819671,-0.23411852848838902,-0.2341604926486178,-0.23325444503696227,-0.23180617188550065},
+{3.3820042418906584,3.470070954003149,2.456355059717709,1.5575857488200577,0.8818100405129214,0.44535242347677684,0.1804200321906138,0.02197916057954281,-0.0735429146229025,-0.12723012146514162,-0.16216803271959118,-0.18612050523111082,-0.20207424653194156,-0.2128132510692464,-0.22234462475476074,-0.22940047572335506,-0.23319899016058493,-0.2346606744959136,-0.23462901264351776,-0.23366600346259067,-0.23217256395978836},
+{3.3867994094354557,3.4628204152322404,2.445546643860572,1.5470580535390137,0.8730430853197964,0.4386892746646487,0.17549033038158182,0.01831810173171442,-0.07629389754508589,-0.12933246909028992,-0.1638605828016739,-0.18750219337492574,-0.20321600591801117,-0.21380294729208366,-0.22323439997829128,-0.23015430116471958,-0.23383048577436416,-0.23519644426153447,-0.23509196989455522,-0.2340726359063151,-0.23253453339924512},
+{3.3915437132189696,3.4555401967955595,2.434755220089564,1.5365676884891115,0.8643235440176092,0.4320712225308204,0.17059879124860777,0.01468793669354711,-0.0790195705646393,-0.13141537941184306,-0.16553718206792967,-0.18887048667894749,-0.20434641019054914,-0.21478439238962754,-0.22411559142518642,-0.23089983262425415,-0.23445468147230805,-0.2357259065050537,-0.2355494243657004,-0.23447439492822417,-0.23289212682621396},
+{3.396237180150599,3.4482307025055388,2.4239809952892255,1.526114657146765,0.8556512460525395,0.4254980013295518,0.1657451345340031,0.011088408982717426,-0.08172014887906089,-0.13347903900302882,-0.16719798229318628,-0.190225514549631,-0.20546557065541166,-0.21575767720839284,-0.22498824979151197,-0.23163714443599992,-0.2350716530787938,-0.23624912916397137,-0.23600143530637593,-0.2348713324597032,-0.23324539031058183},
+{3.4008798391142387,3.4408923338719526,2.4132241730920434,1.5156989613874778,0.8470260202190726,0.41896934625879584,0.160929081789009,0.007519264204938914,-0.08439584639582003,-0.13552363245012716,-0.16884313366951037,-0.19156740502818337,-0.20657359743803683,-0.21672288860437314,-0.22585242591541502,-0.23236631059635518,-0.2356814756954419,-0.2367661794014998,-0.23644806126047085,-0.23526349981182026,-0.23359436937722616},
+{3.4054717209494836,3.433525490101353,2.4024849539040862,1.505320601501382,0.8384476946848034,0.4124849934691275,0.15615035636817676,0.003980250039444116,-0.08704687575008357,-0.13754934237497662,-0.17047278482430772,-0.19289628480626023,-0.2076705995188374,-0.21768010957174805,-0.2267081707855898,-0.23308740475480078,-0.23628422370320423,-0.2372771236145641,-0.2368893600752558,-0.23565094768359673,-0.23393910901334813},
+{3.41001285843286,3.426130568096741,2.3917635349298165,1.494979576208647,0.8299160970148818,0.40604468007236,0.1514086834236215,0.000471116224498868,-0.08967344832013677,-0.13955634945723747,-0.17208708283819804,-0.19421227924146311,-0.20875668478619747,-0.21862941937793476,-0.22755553554751323,-0.233800500204905,-0.236879970764668,-0.23778202744178778,-0.2373253889101981,-0.23603372617016075,-0.23427965367569945},
+{3.414503286259125,3.4187079624575296,2.3810601101960667,1.484675882674767,0.8214310541961142,0.3996481441498698,0.14670378989914892,-0.0030083854570473467,-0.09227577424064178,-0.14154483245641802,-0.17368617326267224,-0.19551551237264986,-0.20983196011381466,-0.21957089370373528,-0.22839457150767262,-0.2345056698756186,-0.23746878982656175,-0.23828095577145963,-0.23775620424567862,-0.23641188477078887,-0.2346160472977006},
+{3.4189430410226267,3.4112580654797786,2.3703748705751435,1.4744095165257374,0.8129923926607292,0.39329512476061934,0.14203540452426827,-0.006458501192181372,-0.0948540624138553,-0.14351496823366683,-0.17527020013753244,-0.19680610693505768,-0.21089653146814866,-0.22050460478739914,-0.22922533013595406,-0.23520298632286848,-0.23805075312246413,-0.23877397274948287,-0.23818186189161278,-0.236785472396839,-0.2349483332964581},
+{3.4233321611986818,3.4037812671566643,2.359708003807009,1.4641804718631104,0.8045999383097874,0.38698536194889427,0.13740325780808288,-0.009879475152104309,-0.09740852051893915,-0.14546693177332592,-0.17683930600811454,-0.19808418437523337,-0.21195050404966312,-0.22143062157151983,-0.23004786306638036,-0.23589252172144126,-0.23862593217569256,-0.2392611417872898,-0.23860241699596457,-0.23715453737956357,-0.23527655457966976},
+{3.4276706871250724,3.396277955179273,2.3490596945206006,1.4539887412789616,0.7962535165362715,0.3807185967517584,0.13280708203307393,-0.013271549506573197,-0.09993935501949536,-0.1474008962042569,-0.17839363194230407,-0.19934986486578754,-0.2129939824687521,-0.22234900985177067,-0.2308622220963734,-0.23657434785717738,-0.23919439780237714,-0.2397425255697388,-0.2390179240531714,-0.23751912747782533,-0.23560075355243704},
+{3.4319586609835344,3.3887485149376033,2.338430124254173,1.443834315870741,0.78795295224783,0.3744945712062273,0.12824661124877487,-0.016634964438200717,-0.10244677116944557,-0.14931703282092953,-0.17993331754733619,-0.20060326731996048,-0.21402707095410803,-0.22325983242656114,-0.23166845918468473,-0.23724853611945443,-0.2397562201147011,-0.24021818606297168,-0.23942843691246413,-0.23787928988569387,-0.23592097212396962},
+{3.4361961267813665,3.3811933295218894,2.327819471474775,1.4337171852560489,0.7796980698891941,0.3683130283561767,0.1237215812653403,-0.01996995815671295,-0.10493097301739236,-0.1512155111042865,-0.18145850098639543,-0.20184450940601328,-0.2150498735883708,-0.22416314924679487,-0.2324666264481592,-0.23791515749398084,-0.24031146852430874,-0.24068818452224283,-0.23983400878609282,-0.2382350712399442,-0.23623725171419685},
+{3.4403831303330437,3.373612779724145,2.317227911596781,1.4236373375872968,0.7714886934642632,0.3621737122589738,0.11923172964701703,-0.023276766913166352,-0.10739216340957437,-0.15309649874237868,-0.18296931899500707,-0.20307370756144041,-0.2160624945634551,-0.22505901756497354,-0.23325677615744655,-0.2385742825558816,-0.24086021174586322,-0.24115258149970858,-0.24023469225745459,-0.23858651762744454,-0.23654963326027456},
+{3.444519719241932,3.3660072440399906,2.306655616999544,1.413594759566305,0.7633246465578654,0.3560763679918549,0.11477679570551534,-0.02655562501411368,-0.10983054399153899,-0.15496016165077453,-0.18446590689722936,-0.20429097700700732,-0.2170650384462431,-0.2259474920829799,-0.23403896073180103,-0.2392259814630812,-0.2414025178007546,-0.24161143685217887,-0.24063053928912087,-0.23893367459244272,-0.2368581572230045},
+{3.448605942882049,3.3583770986707546,2.2961027570441797,1.4035894364588053,0.7552057523571984,0.350020741658041,0.11035652049328731,-0.02980676483573034,-0.11224631520865201,-0.1568066639927494,-0.18594839862164844,-0.20549643176061835,-0.21805761044444977,-0.22682862509794838,-0.23481323273307336,-0.23987032394997984,-0.24193845402094732,-0.24206480974882894,-0.2410216012307748,-0.2392765871437504,-0.23716286359315092},
+{3.452641852379898,3.35072271752582,2.2855694980895063,1.393621352108872,0.7471318336729508,0.344006580392604,0.10597064679671601,-0.033030416837886545,-0.1146396763055462,-0.15863616819924767,-0.18741692671717153,-0.20669018465101033,-0.21904031666232335,-0.22770246664568877,-0.23557964485899086,-0.24050737932141558,-0.24246808705295544,-0.242512758678866,-0.2414079288270463,-0.23961529976182275,-0.23746379189767058},
+{3.4566275005963405,3.34304447222522,2.275056003507181,1.3836904889532686,0.7391027129600997,0.3380336323680873,0.1016189191292172,-0.03622680957817383,-0.11701082532462583,-0.16044883498862875,-0.18887162236863395,-0.20787234733128082,-0.22001326433645638,-0.2285690646412101,-0.23633824993583225,-0.24113721644691288,-0.2429914828619464,-0.24295534145915035,-0.24178957222525402,-0.23994985640574246,-0.23776098120584555},
+{3.4605629421085804,3.3353427321025277,2.2645624336960877,1.3737968280357356,0.7311182123384067,0.3321016467998787,0.09730108372425661,-0.03939616972588035,-0.11935995910372743,-0.16224482338619725,-0.19031261541220829,-0.20904303029225277,-0.22097656204305363,-0.22942846501594666,-0.23708910091056556,-0.24175990375521236,-0.24350870673596037,-0.2433926152417718,-0.24216658098305371,-0.240280300520101,-0.23805447013533096},
+{3.464448233192169,3.3276178642079572,2.2540889460960027,1.3639403490211985,0.7231781536125972,0.32621037395135266,0.09301688852829008,-0.042538722075911854,-0.12168727327303151,-0.16402429074351116,-0.191740034350629,-0.21020234287566988,-0.22193031986951883,-0.23028071185134294,-0.23783225084253118,-0.24237550922907358,-0.24401982329023938,-0.24382463652157543,-0.24253900407599113,-0.2406066750417874,-0.23834429685811026},
+{3.468283431803097,3.319870233311738,2.2436356952006173,1.3541210302099134,0.715282358292235,0.32035956513877356,0.08876608319361988,-0.04565468956266372,-0.12399296225132667,-0.1657873927574818,-0.1931540063682296,-0.2113503932872377,-0.22287464954492403,-0.231125847508515,-0.23856775289473353,-0.242984100400353,-0.24452489647166128,-0.24425146114363638,-0.24290688990495926,-0.24092902240667452,-0.2386304991063635},
+{3.4720685975599648,3.3121002019077377,2.2332028325699653,1.344338848551553,0.7074306476112986,0.31454897273597426,0.0845484190711847,-0.048744293273834505,-0.12627721924170793,-0.16753428348925795,-0.1945546573457941,-0.21248728860949814,-0.2238096645257092,-0.23196391275374878,-0.23929566032479754,-0.24358574434534824,-0.24502398956326807,-0.24467314431068313,-0.24327028630356665,-0.24124738455621697,-0.23891311417825092},
+{3.4758037917262046,3.3043081302173216,2.222790506842314,1.334593779659225,0.6996228425474512,0.3087783501788137,0.08036364920327276,-0.05180775246418667,-0.12854023622679794,-0.1692651153829005,-0.19594211187523045,-0.21361313481455318,-0.2247354800347366,-0.23279494687964813,-0.2400160264756527,-0.24418050768040495,-0.24551716518888742,-0.24508974059046817,-0.2436292405454092,-0.24156180294395194,-0.23919217894361167},
+{3.4794890771923814,3.296494376193448,2.212398863745597,1.3248857978234314,0.6918587638410201,0.3030474519694064,0.07621152831616812,-0.054845284569250544,-0.1307822039635728,-0.17098003928385025,-0.1973164932740611,-0.21472803677662894,-0.22565221305344163,-0.23361898782178112,-0.2407289047659799,-0.2447684565577873,-0.24600448531783778,-0.24550130392308192,-0.24398379935125353,-0.24187231854190758,-0.23946772984957607},
+{3.4831245184585677,3.2886592955250116,2.202028046108452,1.315214876025982,0.6841382320136836,0.2973560336801473,0.07209181281273554,-0.05785710521896906,-0.1330033119778618,-0.17267920445718543,-0.1986779235997382,-0.2158320982844885,-0.22655998226828444,-0.23443607227071436,-0.24143434868046915,-0.2453496566618023,-0.24648601126971093,-0.24590788762821203,-0.2443340088961287,-0.24217897184692252,-0.23973980292609992},
+{3.4867101816167714,3.2808032416413964,2.1916781938709335,1.3055809859538325,0.676461067386865,0.2917038519575165,0.0680042607649334,-0.060843428251288,-0.1352037485585996,-0.17436275860567804,-0.20002652366378637,-0.21692542205369317,-0.22745890797394178,-0.23524623577935933,-0.24213241175993042,-0.2459241732051768,-0.24696180371922938,-0.24630954441234498,-0.24467991481632592,-0.24248180288687476,-0.24000843379141457},
+{3.490246134333475,3.2729265657172824,2.181349444094976,1.2959840980128892,0.6688270900998481,0.28609066452568566,0.06394863190627813,-0.06380446572568103,-0.13738370075188788,-0.1760308478876445,-0.20136241304576735,-0.2180081097387148,-0.2283491119366638,-0.23604951286558642,-0.2428231475912783,-0.2464920709256851,-0.24743192270116715,-0.24670632637590892,-0.24502156221631077,-0.24278085122682058,-0.24027365765739975},
+{3.4937324458322028,3.265029616677641,2.171041930974682,1.2864241813417503,0.661236120127603,0.2805162301899185,0.05992468762424279,-0.06674042793661873,-0.1395433543549369,-0.17768361693459517,-0.20268571010708117,-0.21908026194489913,-0.2292307172219886,-0.23684593711008842,-0.24350660979743854,-0.2470534140830183,-0.24789642761533592,-0.24709828502035835,-0.2453589956755462,-0.2430761559750489,-0.24053550933487544},
+{3.497169186876194,3.2571127412029632,2.1607557858465007,1.2769012038253957,0.6536879772983373,0.2749803088397703,0.055932190952605494,-0.06965152342697646,-0.1416828939099389,-0.17932120886868602,-0.20399653200459347,-0.22014197824028642,-0.2301038479915281,-0.2376355412495015,-0.24418285202718482,-0.24760826645590192,-0.24835537723162507,-0.24748547125519596,-0.24569225925522828,-0.24336775578904732,-0.24079402323881896},
+{3.5005564297511422,3.249176283734691,2.1504911371993893,1.2674151321088356,0.6461824813107687,0.2694826614520988,0.0519709065637452,-0.07253795900137698,-0.14380250269792846,-0.1809437653199707,-0.2052949947041016,-0.2211933571672869,-0.2309686292738575,-0.23841835726481744,-0.2448519279449491,-0.24815669133944707,-0.24880882969509682,-0.2478679354049394,-0.24602139650493451,-0.2436556888813848,-0.24104923339350512},
+{3.503894248248003,3.2412205864808428,2.1402481106849938,1.2579659316106981,0.6387194517511279,0.26402305009387966,0.04804060076088573,-0.07539993973947443,-0.14590236273268017,-0.1825514264434584,-0.20658121299363483,-0.22223449625421426,-0.23182518671467736,-0.23919441646513173,-0.24551389122061254,-0.24869875154273682,-0.2492568425311231,-0.24824572721601884,-0.24634645046918538,-0.24393999302551048,-0.2413011734375705},
+{3.50718271764589,3.2332459894218455,2.1300268291279654,1.2485535665367824,0.6312987081098903,0.25860123792483747,0.044141041470296793,-0.07823766900917163,-0.14798265475468317,-0.18414433093597538,-0.20785530049659204,-0.2232654920266804,-0.23267364631139156,-0.23996374956679808,-0.24616879551930324,-0.2492345093866471,-0.24969947265056755,-0.24861889586361807,-0.24666746369392153,-0.24422070556146858,-0.24154987662900654},
+{3.510421914695039,3.22525283031654,2.1198274125364374,1.2391779998935584,0.6239200697982409,0.2532169891998985,0.04027199823344721,-0.08105134847977201,-0.15004355822524185,-0.1857226160528339,-0.20911736968472178,-0.22428644001884998,-0.23351413413708924,-0.24072638676806968,-0.2468166944912264,-0.24976402670188957,-0.25013677635500464,-0.2489874899584499,-0.24698447823289568,-0.24449786340153504,-0.24179537585007793},
+{3.513611917599848,3.2172414447083755,2.1096499781127545,1.2298391935016115,0.6165833561642697,0.24787006927145255,0.036433242199115735,-0.0838411781350734,-0.1520852513207382,-0.18728641762431497,-0.2103675318909446,-0.22529743478456296,-0.23434677605866272,-0.24148235781932573,-0.24745764176152618,-0.2502873648272821,-0.25056880934197007,-0.24935155755346786,-0.24729753565398033,-0.24477150303576925,-0.2420377036121686},
+{3.516752806002021,3.209212165931785,2.09949464026452,1.220537108009066,0.609288386508919,0.24256024459145456,0.032624546115467244,-0.08660735628638676,-0.1541079109270822,-0.18883587007195402,-0.21160589732201898,-0.22629856990831743,-0.23517169745345273,-0.24223169208898312,-0.24809169092021763,-0.2508045846082416,-0.2509956267102456,-0.2497111461505189,-0.24760667704539663,-0.2450416605374927,-0.2422768920605636},
+{3.519844660963736,3.201165325118695,2.0893615106159875,1.2112717029049316,0.6020349801016551,0.23728728271334165,0.02884568432208274,-0.08935007958549629,-0.15611171263439563,-0.1903711064246473,-0.21283257507105452,-0.22728993801612393,-0.23598902292842036,-0.24297441862521402,-0.24871889551218102,-0.25131574639548415,-0.25141728296516214,-0.2500663027069229,-0.24791194302185443,-0.2453083715686858,-0.24251297297915314},
+{3.5228875649509646,3.1931012512052375,2.079250698019907,1.2020429365324385,0.5948229561959008,0.23205095229379005,0.025096432741961647,-0.09206954303754869,-0.15809683073194428,-0.1918922583345674,-0.2140476731298736,-0.2282716307862256,-0.23679887604542277,-0.2437105662135872,-0.24933930902724707,-0.2518209100439435,-0.2518338320239278,-0.25041707364199833,-0.2482133737306181,-0.24557167138530794,-0.24274597779507592},
+{3.525881601816802,3.185020270938574,2.069162308569828,1.1928507661022951,0.5876521340441986,0.22685102309430397,0.02137656887348487,-0.09476594001387577,-0.1600634382033489,-0.19339945609289647,-0.21525129840122403,-0.22924373895969116,-0.23760137905571221,-0.24444016343076497,-0.24995298489037895,-0.2523201349118929,-0.25224532722097476,-0.2507635048435124,-0.24851100885748617,-0.24583159484254474,-0.24297593758329106},
+{3.528826856784937,3.176922708883889,2.0590964456129393,1.1836951477059325,0.5805223329131349,0.22168726598264446,0.01768587178235164,-0.09743946226475098,-0.1620117067221003,-0.19489282864537769,-0.21644355671084317,-0.23020635235087883,-0.23839665264633983,-0.24516323869438902,-0.25055997645196254,-0.2528134798602735,-0.2526518213133173,-0.25110564167407623,-0.2488048876326983,-0.24608817639997735,-0.24320288307108523},
+{3.531723416433153,3.1688088874315015,2.049053209763476,1.1745760363286795,0.573433372098006,0.21655945293409803,0.014024122093483853,-0.10009029993207419,-0.16394180664738975,-0.19637250360768604,-0.21762455281937745,-0.2311595598577754,-0.2391848157006869,-0.24587982030928673,-0.25116033697821705,-0.253301003252214,-0.25305336648592264,-0.2514435289774662,-0.2490950488367562,-0.24634145012668113,-0.24342684464251746},
+{3.5345713686769473,3.1606791268041063,2.039032698916747,1.165493385862907,0.5663850709372436,0.21146735703259337,0.010391101982903272,-0.10271864156199248,-0.1658539070202795,-0.1978386072806201,-0.21879439043415722,-0.23210344947220962,-0.2399659850749368,-0.2465899365101426,-0.2517541196417357,-0.2537827629527501,-0.25345001435708925,-0.2517772110848871,-0.24938153080617242,-0.2465914497062496,-0.24364785234279351},
+{3.5373708027532187,3.152533745064148,2.029035008263807,1.156447149121131,0.5593772488265941,0.2064107524716655,0.006786595169585831,-0.10532467411744467,-0.16774817556022084,-0.19929126466511582,-0.21995317222083008,-0.23303810828994348,-0.2407402753918795,-0.24729361550076068,-0.2523413775121623,-0.2542588163287277,-0.25384181598382943,-0.2521067318211643,-0.24966437143914266,-0.24683820844174986,-0.24386593588258657},
+{3.540121809204034,3.144373058121296,2.0190602303068172,1.1474372778490594,0.5524097252330539,0.20138941455527382,0.0032103869072901622,-0.10790858299064351,-0.16962477866193826,-0.20073059947708652,-0.22110099981485545,-0.23396362252064096,-0.24150779885307894,-0.24799088549006149,-0.2529221635470196,-0.25472922024889083,-0.25422882186725393,-0.2524321345108745,-0.2499436082011369,-0.24708175926060477,-0.24408112464228726},
+{3.5428244798604824,3.136197379740015,2.0091084548751086,1.1384637227386025,0.5454823197085633,0.1964031196984694,-0.00033773602363376676,-0.11047055201548256,-0.17148388139268653,-0.20215673416208768,-0.22223797383285737,-0.2348800774977201,-0.24226866507008488,-0.24868177472493286,-0.2534965305826845,-0.2551940310841477,-0.254611081957954,-0.2527534619844081,-0.25021927813042194,-0.24732213471940623,-0.2442934476761982},
+{3.5454789078266136,3.1280070215472526,1.9991797691419966,1.1295264334408412,0.5385948519034665,0.191451645427929,-0.00385798532445571,-0.11301076347987504,-0.173325647489887,-0.2035697899098104,-0.2233641938838446,-0.23578755768808318,-0.24302298091505825,-0.249366311520067,-0.2540645313255344,-0.2556533047080096,-0.25498864566138335,-0.2530707565839693,-0.25049141784350626,-0.2475593670086648,-0.2445029337166662},
+{3.5480851874634634,3.119802293040203,1.9892742576423392,1.1206253585789414,0.5317471415797297,0.18653477038234076,-0.007350571186296199,-0.1155293981380211,-0.17515023935915514,-0.20496988666840465,-0.22447975858029406,-0.23668614670173246,-0.24377085039090976,-0.25004452428489854,-0.2546262183432557,-0.2561070964971963,-0.2553615618432306,-0.25338406016950793,-0.2507600635405119,-0.24779348795748318,-0.24470961117815676},
+{3.5506434143731567,3.111583501594155,1.979392002290876,1.1117604457610362,0.5249390086239316,0.18165227431266137,-0.010815702298369746,-0.1180266352226044,-0.17695781807271688,-0.20635714315863218,-0.22558476554910095,-0.23757592730127117,-0.24451237452080085,-0.25071644154776646,-0.2551816440563268,-0.25655546133240514,-0.2557298788347837,-0.2536934141245873,-0.2510252510104762,-0.24802452903817448,-0.24491350816126814},
+{3.5531536853830916,3.103350952470413,1.9695330824013446,1.1029316415930464,0.5181702730600132,0.17680393808223893,-0.01425358585624692,-0.12050265245691551,-0.1787485433682226,-0.20773167688785404,-0.22667931144239883,-0.23845698141128735,-0.24524765125666076,-0.2513820919774165,-0.2557308607296874,-0.25699845359923656,-0.256093644438285,-0.2539988593621895,-0.2512870156365793,-0.24825252137080422,-0.24511465245669264},
+{3.555616098530232,3.09510494882429,1.9596975747064012,1.0941388916914705,0.5114407550618015,0.17198954366680036,-0.017664427570125832,-0.12295762606690731,-0.1805225736479574,-0.20909360416385225,-0.22776349194824785,-0.23932939012763088,-0.24597677540618287,-0.2520415044019628,-0.25627392046458386,-0.2574361271892706,-0.256452905932271,-0.25430043633045024,-0.2515453924013023,-0.24847749572767616,-0.24531307154911458},
+{3.5580307530454522,3.0868457917131535,1.949885553378329,1.0853821406961197,0.5047502749653058,0.16720887415432,-0.021048431673114737,-0.12539173079317445,-0.1822800659784479,-0.21044304010848638,-0.2288374018011966,-0.2401932337265749,-0.24669983857762656,-0.2526947078254285,-0.2568108751906136,-0.25786853550129146,-0.2568077100769002,-0.2545981850183361,-0.25180041589151764,-0.24869948253775165,-0.2455087926210604},
+{3.560397749337996,3.0785737801045383,1.9400970900505496,1.076661332282808,0.4980986532807819,0.16246171374475504,-0.02440580092952859,-0.12780513990286385,-0.18402117609046667,-0.21178009867119038,-0.2299011347927173,-0.24104859167386974,-0.24741692914162625,-0.25334173144199046,-0.25734177665795765,-0.2582957314426491,-0.2571581031192612,-0.2548921449612516,-0.25205212030350665,-0.24891851189100536,-0.2457018425566888},
+{3.5627171889800056,3.0702892108842885,1.9303322538399335,1.0679764091759958,0.49148571070457986,0.1577478477496672,-0.027736736643187456,-0.13019802520150986,-0.1857460583794291,-0.2131048926423056,-0.23095478378151188,-0.24189554263369045,-0.24812813220911817,-0.2539826046480507,-0.2578666764298103,-0.2587177674307613,-0.2575041307986619,-0.2551823552465848,-0.2523005394479138,-0.2491346135427227,-0.24589224794553},
+{3.564989174691144,3.0619923788647587,1.920591111369896,1.0593273131613845,0.484911268130758,0.15306706259172137,-0.03104143866572527,-0.13257055704479928,-0.18745486590618024,-0.2144175336662574,-0.23199844070370165,-0.2427341644774728,-0.24883352962442234,-0.2546173570522654,-0.2583856258750163,-0.25913469539474066,-0.2578458383519004,-0.2554688545191892,-0.25254570675462773,-0.24934781691773214,-0.2460800350861692},
+{3.567213810323294,3.053683576793032,1.9108737267942746,1.0507139850984628,0.4783751466624824,0.14841914580406584,-0.03432010540490375,-0.13492290435026316,-0.18914775039817,-0.21571813225457379,-0.2330321965828864,-0.24356453429265015,-0.24953319997247245,-0.25524601848366096,-0.25889867616090273,-0.25954656677715077,-0.2581832705185109,-0.2557516809868017,-0.2527876552776038,-0.24955815111458368,-0.24626522998988115},
+{3.5693912008453683,3.045363095359183,1.9011801618219835,1.0421363649330082,0.47187716762320714,0.1438038860296049,-0.0375729338329272,-0.1372552346088948,-0.19082486225101036,-0.21700679779874846,-0.23405614154009075,-0.24438672839128256,-0.25022721859914376,-0.2558686189979689,-0.2594058782463244,-0.2599534325358807,-0.2585164715459888,-0.25603087242539807,-0.2530264176996158,-0.24976564490966324,-0.24644785838421232},
+{3.571521452328182,3.0370312232045586,1.8915104757424148,1.0335943917095294,0.46541715256763366,0.13922107302015285,-0.04080011949476288,-0.1395677138966968,-0.19248635053040714,-0.21828363858294939,-0.2350703648035849,-0.2452008223185841,-0.25091565764362694,-0.25648518888230804,-0.25990728287491294,-0.2603553431461309,-0.25884548519498773,-0.2563064661844847,-0.2532620263369427,-0.24997032676125236,-0.24662794571650928},
+{3.57360467192942,3.028688246930066,1.88186472545158,1.0250880035836674,0.45899492329245845,0.13467049763548547,-0.044001856516460144,-0.14186050688615234,-0.19413236297445843,-0.21954876179657612,-0.2360749547185908,-0.24600689086134822,-0.2515985860817791,-0.2570957586583449,-0.2604029405685364,-0.26075234860251434,-0.25917035474449085,-0.2565784991923281,-0.25349451314399746,-0.2501722248135293,-0.2468055171574002},
+{3.5756409678786927,3.020334451104484,1.8722429654789643,1.0166171378345399,0.45261030184690204,0.13015195184228276,-0.04717833761347101,-0.14413377685762568,-0.1957630459963223,-0.22080227354666349,-0.23706999875687312,-0.24680500805627517,-0.2522760697794087,-0.25770035908406,-0.26089290162097306,-0.26114449842125576,-0.259491122996955,-0.2568470079611235,-0.2537239097178836,-0.25037136690051454,-0.24698059760421823},
+{3.5776304494626925,3.0119701182727923,1.8626452480151,1.0081817308770442,0.44626311054303713,0.125665228712972,-0.050329754098961094,-0.14638768571068428,-0.19737854468722615,-0.22204427887013614,-0.23805558352620765,-0.24759524719819578,-0.2529481715544519,-0.2582990211542361,-0.26137721609179,-0.26153184164249105,-0.25980783228342047,-0.25711202859209764,-0.25395024730289745,-0.25056778054995765,-0.24715321168436918},
+{3.579573227010414,3.00359552896447,1.853071622939771,0.99978171827409,0.4399531719658888,0.1212101224244577,-0.05345629589213442,-0.14862239397535953,-0.1989790028198416,-0.22327488174592405,-0.23903179477975275,-0.24837768084820663,-0.25361495124705524,-0.2588917760998038,-0.26185593380045086,-0.26191442683267124,-0.26012052446860356,-0.2573735967805604,-0.2541735567949697,-0.2507614929871803,-0.24732338375864937},
+{3.5814694118784867,2.9952109617018294,1.8435221378509046,0.9914170347487924,0.433680308983344,0.11678642825676534,-0.056558151526536954,-0.1508380608233221,-0.2005645628519797,-0.22449418510691962,-0.23999871742529197,-0.2491523808417007,-0.25427646579657115,-0.2594786553861329,-0.26232910432062634,-0.2622923020870412,-0.26042924095594094,-0.2576317478208843,-0.25439386874603953,-0.2509525311388509,-0.2474911379244912},
+{3.5833191164365767,2.986816693008321,1.833996838094057,0.9830876141966113,0.42744434475585047,0.11239394259158339,-0.059635508158363035,-0.1530348440789875,-0.20213536593062192,-0.22570229085179655,-0.24095643553437543,-0.2499194182963046,-0.2549327693245584,-0.2600596907103945,-0.2627967769747257,-0.2626655150322131,-0.2607340226926123,-0.25788651661143025,-0.2546112133683754,-0.2511409216367168,-0.24765649801915282},
+{3.585122454052889,2.9784129974168314,1.8244957667924966,0.9747933896974297,0.421245102745909,0.10803246291071296,-0.06268855157475389,-0.15521290023055007,-0.20369155189627078,-0.22689929985668572,-0.24190503235135175,-0.25067886361972463,-0.2555839132228928,-0.26063491399808614,-0.2632590008286501,-0.2630341128288173,-0.2610349101745263,-0.25813793765941023,-0.2548256205388321,-0.2513266908212799,-0.24781948762284134},
+{3.586879539079763,2.9700001474779816,1.8150189648778516,0.9665342935275816,0.4150824067273661,0.10370178779441976,-0.0657174662020878,-0.15737238444094423,-0.20523325928761016,-0.22808531198670948,-0.2428445903022907,-0.25143078651749856,-0.2562299462461572,-0.26120435739881587,-0.2637158246867601,-0.26339814217423096,-0.26133194345127236,-0.2583860450856954,-0.2550371198030556,-0.25150986474542225,-0.2479801300617763},
+{3.588590486839336,2.9615784137683856,1.8055664711212789,0.9583102571718237,0.4089560807945085,0.09940171691970373,-0.06872243511426203,-0.15951345055872823,-0.20676062534646555,-0.22926042610737543,-0.24377519100380413,-0.2521752560006561,-0.25687091460751815,-0.26176805328142905,-0.2641672970870643,-0.2637576493053786,-0.2616251621310364,-0.2586308726295583,-0.2552457403796252,-0.25169046917798127,-0.2481384484111929},
+{3.5902554136093237,2.953148064898912,1.7961383221651344,0.9501212113352451,0.40286594937095854,0.0951320510584736,-0.07170364004096538,-0.16163625112890057,-0.20827378602305582,-0.23042474009583247,-0.24469691527175794,-0.2529123403932895,-0.2575068620773555,-0.26232603422855827,-0.2646134662966253,-0.26411268000159693,-0.26191460538548367,-0.2588724536533652,-0.2554515111641416,-0.2518685296072743,-0.24829446549828854},
+{3.5918744366088617,2.9447093675229,1.7867345525551048,0.9419670859551297,0.39681183721837743,0.09089259207564111,-0.07466126137593847,-0.1637409374036371,-0.2097728759815211,-0.23157835085198972,-0.2456098431298851,-0.25364210734004744,-0.2581378300839612,-0.2628783330306706,-0.2650543803071782,-0.26446327958756927,-0.26220031195460003,-0.25911082114720174,-0.25565446073326065,-0.25204407124457406,-0.2484482039051228},
+{3.59344767398447,2.9362625863443714,1.7773551947727706,0.9338478102127521,0.3907935694449753,0.0866831429271325,-0.07759547818522365,-0.1658276593529595,-0.21125802860572773,-0.2327213543095011,-0.24651405381829786,-0.2543646238136317,-0.2587638578156676,-0.2634249826796759,-0.26549008683096853,-0.2648094929363137,-0.262482320151501,-0.25934600773344996,-0.2558546173486669,-0.25221711902753846,-0.24859968597147075},
+{3.5949752447960655,2.9278079841261895,1.7680002792685583,0.9257633125451151,0.3848109715138231,0.08250350765781038,-0.08050646821540025,-0.16789656567532857,-0.21272937600532638,-0.2338538454466162,-0.2474096258018954,-0.25507995612259865,-0.25938498232382534,-0.26396601636215516,-0.26592063329679233,-0.2651513644722302,-0.2627606678671982,-0.2595780456712988,-0.2560520089609998,-0.25238769762358604,-0.24874893379763396},
+{3.596457269003105,2.9193458216982133,1.758669834495067,0.917713520656636,0.3788638692509891,0.07835349139932662,-0.0833944079018075,-0.16994780380816568,-0.21418704902206515,-0.23497591829689846,-0.2482966367786806,-0.25578816992030134,-0.26000123862609825,-0.26450146745227066,-0.26634606684625084,-0.26548893817420177,-0.26303539257533176,-0.2598069668612099,-0.25624666321372225,-0.2525558314332357,-0.24889596924722723},
+{3.5978938674507863,2.910876357965393,1.7493638869407053,0.9096983615307589,0.3729520888534777,0.07423290036788917,-0.08625947237675163,-0.17198151993830033,-0.2156311772363382,-0.23608766595981323,-0.24917516368797332,-0.25648933021665266,-0.26061265980957815,-0.26503136950439266,-0.2667664343302004,-0.2658222575787369,-0.2633065313368602,-0.26003280284931746,-0.25643860744693586,-0.252721544593386,-0.24904081394992728},
+{3.59928516185636,2.902399849915853,1.740082461163632,0.9017177614415207,0.3670754568969931,0.07014154186195841,-0.08910183547769872,-0.17399785901234482,-0.2170618889739667,-0.23718918061118677,-0.2500452827185319,-0.25718350139542123,-0.2612192771332942,-0.26555575624550276,-0.26718178230540324,-0.26615136578316634,-0.26357412080471215,-0.26025558483177696,-0.25662786870114673,-0.25288486098056295,-0.24918348930420292},
+{3.600631274795522,2.893916552628924,1.7308255798259469,0.8937716459650468,0.3612338003435168,0.0660792242598702,-0.09192166975544909,-0.175996964746998,-0.21847931131319592,-0.23828055351353752,-0.2509070693165798,-0.25787074724068076,-0.2618211201297064,-0.26607466156739834,-0.2675921570313703,-0.2664763054488746,-0.26383819722839924,-0.2604753436590632,-0.25681447372097943,-0.25304580421411405,-0.24932401648002459},
+{3.60193232968889,2.8854267192831395,1.7215932637281006,0.8858599399909829,0.3554269465487029,0.06204575701738131,-0.09471914648229578,-0.1779789796392753,-0.219883570091905,-0.23936187502628237,-0.2517605981937373,-0.25855113097651145,-0.2624182167048396,-0.2665881195187437,-0.2679976044673896,-0.2667971188045711,-0.26409879645858697,-0.2606921098402044,-0.25699844895883717,-0.25320439765935876,-0.2494624164215526},
+{3.6031884507885836,2.8769306011641973,1.7123855318435004,0.8779825677338726,0.34965472326910446,0.05804095066515347,-0.09749443566016226,-0.1799440449766649,-0.22127478991501068,-0.24043323461581598,-0.2526059433348641,-0.25922471532391245,-0.26301059323674036,-0.2670961642969912,-0.2683981702697382,-0.2671138476495994,-0.26435595395162553,-0.26090591354697357,-0.25717982057851746,-0.2533606644307012,-0.24959870984981156},
+{3.6043997631648845,2.868428447672878,1.7032024013532623,0.8701394527444611,0.34391695866921745,0.054064616806160294,-0.10024770602872637,-0.18189230084721683,-0.2226530941620673,-0.24149472086546986,-0.25344317800581045,-0.25989156257808826,-0.26359827467197966,-0.2675988302402072,-0.2687938997890726,-0.2674265333572755,-0.26460970477404155,-0.26111678461801985,-0.2573586144587742,-0.2535146273946931,-0.24973291726535202},
+{3.605566392692991,2.8599205063329216,1.694043887681078,0.8623305179209433,0.3382134813283596,0.05011656811303607,-0.10297912507351817,-0.18382388614955267,-0.2240186049950377,-0.24254642148534766,-0.25427237476107756,-0.2605517347079277,-0.2641812846199672,-0.26809615181882035,-0.2691848380679858,-0.26773521687825597,-0.2648600836069857,-0.26132475256294935,-0.25753485619683397,-0.25366630917306066,-0.24986505895089156},
+{3.6066884660398526,2.8514070227988593,1.6849100045281793,0.8545556855201399,0.33254412024737406,0.046196618325356306,-0.10568885903400091,-0.18573893860280916,-0.22537144336623943,-0.24358842332203998,-0.25509360545139215,-0.2612052934778222,-0.2647596454448612,-0.26858816362731724,-0.2695710298387379,-0.2680399387439309,-0.2651071247506391,-0.26152984656635364,-0.25770857111185985,-0.25381573214568326,-0.2499951549739411},
+{3.607766110651118,2.8428882408638185,1.675800763908347,0.8468148771686136,0.3269087048551651,0.0423045822468536,-0.10837707291163011,-0.18763759475650904,-0.22671172902645131,-0.24462081236822408,-0.25590694123119156,-0.26185230059020664,-0.2653333783549138,-0.26907490037591114,-0.26995251952114496,-0.26834073906984635,-0.26535086212858305,-0.2617320954917893,-0.257879784248376,-0.253962918453539,-0.2501232251894241},
+{3.6087994547381346,2.8343644024672536,1.6667161761829372,0.8391080138737157,0.321307065015072,0.03844027574257684,-0.11104393047789017,-0.18951999000035863,-0.22803958053316709,-0.2456436737721414,-0.2567124525660263,-0.26249281784553163,-0.26590250348908556,-0.2695563968821877,-0.27032935122062796,-0.2686376575591411,-0.26559132929212154,-0.26193152788570445,-0.2580485203796395,-0.254107890001602,-0.2502492892422655},
+{3.6097886272650865,2.825835747702677,1.6576562500959104,0.8314350160345647,0.3157390310310787,0.03460351573598626,-0.11368959428230807,-0.19138625857397598,-0.22935511525899555,-0.2466570918469621,-0.2575102092398737,-0.26312690731504246,-0.2664670400008281,-0.2700326880627553,-0.27070156872641427,-0.26893073350600366,-0.2658285594245629,-0.262128171981314,-0.25821480401096764,-0.2542506684617067,-0.2503733665699712},
+{3.6107337579361647,2.817302514825297,1.6486209928087994,0.82379580345296,0.31020443365386174,0.030794120205994244,-0.11631422566044458,-0.19323653357654713,-0.2306584494001886,-0.2476611500800342,-0.2583002803623693,-0.26375463152074063,-0.26702700613892794,-0.27050380892490955,-0.2710692155098886,-0.26922000579914757,-0.26606258534546334,-0.26232205570242784,-0.2583786593830223,-0.25439127527536876,-0.250495476405182},
+{3.6116349771828897,2.808764940259659,1.639610409935627,0.81619029534423,0.3047031040866849,0.0270119081839516,-0.11891798474185995,-0.1950709469764104,-0.23194969798529746,-0.24865593114201928,-0.25908273437595836,-0.2643760536163841,-0.2675824193253411,-0.27096979455832154,-0.2714323347230912,-0.269505512925297,-0.2662934395148216,-0.2625132066672277,-0.25854011047504355,-0.2545297316565682,-0.250615637778208},
+{3.6124924161514675,2.800223258607214,1.6306245055777093,0.8086184103480037,0.2992348739911267,0.023256699750571375,-0.12150103045805709,-0.19688962962057363,-0.23322897488394337,-0.24964151689591707,-0.2598576390629591,-0.26499123756325055,-0.26813329622997134,-0.271430680126767,-0.2717909691973569,-0.26978729297268694,-0.2665211540372395,-0.2627016521919975,-0.25869918100804945,-0.2546660585944971,-0.2507338695195394},
+{3.6133062066902673,2.791677702653852,1.6216632823583295,0.8010800665389209,0.29379957549266866,0.019528316032809228,-0.12406352055039699,-0.19869271124415688,-0.23449639281569407,-0.25061798840598026,-0.260625061552553,-0.26560024829465434,-0.2686796528423534,-0.2718865008599027,-0.272145161442095,-0.27006538363457094,-0.2667457606660357,-0.2628874192948049,-0.258855894447984,-0.25480027685626544,-0.2508501902623284},
+{3.6140764813373902,2.7831285033774065,1.6127267414572712,0.7935751814372674,0.28839704118612136,0.015826579200684938,-0.12660561157799033,-0.20048032047976966,-0.23575206335904406,-0.25158542594651867,-0.261385068327688,-0.26620315186376975,-0.26922150454022514,-0.2723372920451002,-0.27249495364370374,-0.27033982221273717,-0.26696729080731674,-0.2630705346991343,-0.25901027400882565,-0.25493240698957564,-0.2509646184448486},
+{3.6148033733082983,2.7745758899550887,1.6038148826451508,0.7861036720195437,0.28302710414090876,0.012151312464057946,-0.1291274589255613,-0.20225258486681144,-0.23699609696048152,-0.2525439090105954,-0.26213772523190754,-0.26680001557010036,-0.2697588661549897,-0.27278308901934417,-0.2728403876646138,-0.27061064562102666,-0.26718577552400913,-0.26325102483747415,-0.2591623426556528,-0.2550624693253558,-0.2510771723129217},
+{3.6154870164835686,2.766020089770913,1.594927704317555,0.7786654547289609,0.2776895979062036,0.008502340069355071,-0.13162921681128625,-0.20400963086071072,-0.2382286029436458,-0.25349351631862016,-0.2628830974761006,-0.2673909080608844,-0.27029175203407946,-0.27322392716120764,-0.27318150504246663,-0.27087789038885934,-0.26740124553984757,-0.26342891585485745,-0.25931212310766943,-0.25519048398035943,-0.2511878699223163},
+{3.616127545396707,2.757461328423057,1.5860652035289422,0.7712604454858646,0.2723843565159137,0.00487948729624638,-0.13411103829460197,-0.20575158384208836,-0.23944968951856013,-0.2544343258268323,-0.26362124964517214,-0.26797589940470723,-0.2708201761002451,-0.27365984188290204,-0.2735183469894167,-0.2711415926647586,-0.2676137312433231,-0.2636042336123572,-0.25945963784118864,-0.25531647085973025,-0.25129672914111467},
+{3.616725095222073,2.748899829731196,1.57722737602629,0.7638885596980907,0.2671112144935357,0.0012825804542809308,-0.1365730752839885,-0.20747856812585508,-0.2406594637909399,-0.25536641473568594,-0.26435224570464166,-0.26855506113564,-0.27134415190780564,-0.2740908686224221,-0.27385095439155477,-0.2714017882198774,-0.2678232626915849,-0.2637770036905345,-0.25960490909257533,-0.25544044965953133,-0.2514037676520474},
+{3.6172798017628813,2.7403358157437983,1.568414216282467,0.7565497122712428,0.2618700068568618,-0.0022885531205267436,-0.13901547854472232,-0.20919070697024073,-0.24185803177156356,-0.2562898594981272,-0.2650761490071633,-0.269128466267165,-0.2718636926959067,-0.2745170428357756,-0.2741793678084561,-0.27165851245152095,-0.2680298696143077,-0.26394725139284536,-0.25974795886115004,-0.2555624398692412,-0.25150900295479545},
+{3.61779180143929,2.7317695067453696,1.559625717529304,0.749243817618903,0.25666056912255286,-0.00583408506914853,-0.14143839770660224,-0.21088812258574985,-0.2430454983857087,-0.25720473582777376,-0.2657930222989713,-0.2696961892760677,-0.27237881143883724,-0.27493839998931835,-0.2745036274728405,-0.2719118003866668,-0.26823358141751036,-0.2641150017490005,-0.2598888089120567,-0.25568246077421664,-0.2516124523682607},
+{3.6182612312765827,2.723201121263679,1.550861871790347,0.7419707896727685,0.25148273731057835,-0.009354186013037075,-0.14384198127164194,-0.21257093614405687,-0.24422196748264086,-0.25811111870699305,-0.2665029277262559,-0.27025830605724077,-0.2728895208934618,-0.275354975552189,-0.2748237732903559,-0.27216168668548024,-0.2684344271873382,-0.2642802795182815,-0.2600274807790807,-0.2558005314581162,-0.2517141330327942},
+{3.6186882288934474,2.7146308760769418,1.5421226699132753,0.7347305418927103,0.24633634794851345,-0.012849025557665079,-0.14622637662173743,-0.21423926778682698,-0.24538754184515582,-0.25900908239488313,-0.26720592684146055,-0.2708148938510272,-0.27339583364384595,-0.2757668049888526,-0.2751398448394613,-0.2724082056448233,-0.26863243569380063,-0.26444310919281544,-0.2601639957674463,-0.25591667080530023,-0.25181406191240213},
+{3.61907293249032,2.706058986220957,1.5334081016019603,0.7275229872767642,0.24122123807571905,-0.016318772296095033,-0.14859173002630122,-0.21589323663447277,-0.24654232319916342,-0.2598987004351548,-0.267902080609514,-0.27136603114525193,-0.2738977621431377,-0.2761739237517602,-0.27545188137143206,-0.2726513912017565,-0.2688276353944717,-0.2646035150008079,-0.2602983749565594,-0.25603089750318647,-0.2519122557969075},
+{3.6194154808378376,2.6974856649962327,1.5247181554481546,0.7203480383710413,0.23613724524738308,-0.01976359381259626,-0.15093818664986547,-0.21753296079484177,-0.24768641222331814,-0.26078004566391694,-0.2685914494139842,-0.27191179755451284,-0.2743953187527763,-0.276576367274121,-0.2757599218104625,-0.27289127693703086,-0.26902005443814464,-0.2647615209097296,-0.2604306392027257,-0.25614323004457423,-0.2520087313040823},
+{3.6197160132653736,2.68891112397506,1.5160528189627918,0.7132056072795706,0.23108420753844208,-0.023183656686289994,-0.15326589055965734,-0.21915855737183704,-0.2488199085586792,-0.2616531902173705,-0.26927409306316885,-0.2724522736795869,-0.2748885157791254,-0.2769741709627978,-0.2760640047538757,-0.27312789607856897,-0.26920972066845106,-0.2649171506294656,-0.26056080914182633,-0.25625368672993054,-0.2521035048817425},
+{3.619974669649652,2.680335573008566,1.5074120786068783,0.7060956056740616,0.22606196354737743,-0.02657912649483206,-0.15557498473313874,-0.22077014247397309,-0.24994291081840447,-0.2625182055394028,-0.26995007079611205,-0.2729875409499867,-0.27537736550759295,-0.2773673701913274,-0.2763641684724316,-0.2733612815049375,-0.26939666162743386,-0.2650704276154219,-0.2606889051919575,-0.25636228566962926,-0.25219659280980966},
+{3.620191590403466,2.671759220233744,1.498795919821977,0.6990179448035935,0.22107035239988157,-0.029950167818134907,-0.15786561106551888,-0.22236783122286352,-0.2510555165974706,-0.2633751623890979,-0.2706194412885537,-0.27351768145278554,-0.2758618802343344,-0.2777560002930661,-0.2766604509107369,-0.27359146574880505,-0.26958090455908645,-0.2652213750715924,-0.26081494755603696,-0.25646904478615706,-0.2522880112023425},
+{3.6203669164644596,2.66318227208043,1.4902043270602443,0.6919725355042292,0.21610921375241915,-0.0332969442421121,-0.16013791037722735,-0.22395173776164135,-0.2521578224824096,-0.2642241308481448,-0.27128226265881217,-0.27404277775081914,-0.2763420722956248,-0.27814009655446637,-0.2769528896877437,-0.2738184810003865,-0.26976247641284695,-0.26537001595358356,-0.26093895622437635,-0.2565739818162703,-0.25237777600952316},
+{3.620500789284029,2.65460493327829,1.4816372838140446,0.6849592882085516,0.21117838779565562,-0.036619618362465675,-0.16239202242136422,-0.2255219752633181,-0.2532499240610658,-0.2650651803281656,-0.27193859247359925,-0.27456291269330274,-0.27681795409497767,-0.27851969420848904,-0.2772415220973473,-0.2740423591108749,-0.26994140384705545,-0.26551637297160463,-0.2610609509772148,-0.2566771143131102,-0.25246590301963},
+{3.6205933508162724,2.646027406863743,1.4730947726450918,0.6779781129551267,0.2062777152577826,-0.03991835178849491,-0.1646280858911113,-0.22707865593907198,-0.25433191593235643,-0.26589837957794843,-0.27258848775376765,-0.2750781692217624,-0.2772895381281088,-0.27889482842814955,-0.27752638510906863,-0.2742631315958565,-0.27011771323237,-0.26566046859341236,-0.26118095138722675,-0.2567784596482794,-0.25255240786095895},
+{3.6206447435070683,2.637449894186889,1.4645767752131396,0.6710289193978889,0.20140703740772384,-0.043193305146936464,-0.1668462384271086,-0.22862189104647362,-0.25540389171603894,-0.2667237966905933,-0.27323200497999506,-0.2755886301740019,-0.2777568370058145,-0.2792655343201972,-0.2778075153688191,-0.2744808296387071,-0.27029143065514233,-0.26580232504722034,-0.26129897682198183,-0.2568780350138701,-0.25263730600371803},
+{3.6206551102831908,2.628872594918396,1.4560832723041846,0.6641116168154472,0.19656619605822268,-0.04644463808583882,-0.1690466166248029,-0.23015179089764834,-0.25646594406247675,-0.2675414991105736,-0.2738692000984027,-0.2760943780886205,-0.27821986347486194,-0.2796318469189441,-0.2780849491997592,-0.2746954840939766,-0.27046258192076034,-0.2659419643245733,-0.26141504644638913,-0.25697585742447177,-0.252720612761902},
+{3.620624594541571,2.6202957070563824,1.4476142438582094,0.6572261141203227,0.1917550335688355,-0.04967250927845505,-0.1712293560417611,-0.23166846486737191,-0.25751816466239896,-0.2683515536407125,-0.27450012852611083,-0.276595495012352,-0.2786786304369601,-0.27999380118023043,-0.27835872260323086,-0.2749071254907548,-0.2706311925569455,-0.26607940818318027,-0.2615291792251003,-0.2570719437191325,-0.2528023432951194},
+{3.620553340138583,2.611719426933257,1.439169668996409,0.6503723198680952,0.1869733928488031,-0.05287707642716793,-0.17339459120494394,-0.23317202140110202,-0.2585606442566428,-0.2691540264490673,-0.2751248451567291,-0.27709206231224953,-0.2791331509658869,-0.28035143197552825,-0.2786288712597639,-0.2751157840360115,-0.27079728781701556,-0.26621467814970984,-0.26164139392487556,-0.2571663105632965,-0.25288251261040434},
+{3.6204414913794665,2.6031439492225643,1.4307495260479448,0.6435501422664882,0.18222111735982538,-0.056058496267438446,-0.17554245561795595,-0.2346625680229489,-0.2595934726458815,-0.26994898307574317,-0.2757434043657874,-0.2775841604944912,-0.27958343832285587,-0.2807047740862011,-0.2788954305301675,-0.2753214896179279,-0.27096089268310686,-0.26634779552255383,-0.2617517091169321,-0.25725897445072515,-0.2529611355639855},
+{3.620289193007801,2.594569466945794,1.4223537925761827,0.6367594891843666,0.1774980511187312,-0.059216924571772314,-0.17767308176824992,-0.2361402113435765,-0.2606167387003271,-0.2707364884396098,-0.2763558600161027,-0.2780718690313229,-0.28002950597017834,-0.281053862197897,-0.27915843545668173,-0.27552427180919814,-0.27112203186935896,-0.26647878137454667,-0.26186014317924233,-0.2573499517053801,-0.25303822686303734},
+{3.620096590195074,2.5859961714791804,1.4139824454044245,0.6300002681606579,0.17280403870003633,-0.06235251615372356,-0.17978660113430509,-0.23760505706804802,-0.2616305303694033,-0.27151660684495116,-0.2769622654630852,-0.2785552661974086,-0.28047136758330843,-0.2813987308950982,-0.2794179207642081,-0.27572415987031984,-0.2712807298250672,-0.2666076565556617,-0.26196671429882606,-0.2574392584833121,-0.25311380106740217},
+{3.619863828530358,2.577424252560498,1.4056354606411408,0.6232723864132024,0.16813892523841795,-0.06546542487190377,-0.1818831441927662,-0.23905721000360408,-0.2626349346913869,-0.27228940198802465,-0.2775626735599876,-0.2790344289166128,-0.2809090370613278,-0.2817394146558119,-0.27967392086160053,-0.2759211827528557,-0.27143701073779003,-0.26673444169565874,-0.2620714404739871,-0.2575269107745155,-0.253187872591276},
+{3.6195910540100282,2.5688538982958207,1.3973128137046724,0.6165757508475141,0.16350255643107564,-0.06855580363402514,-0.18396284042554728,-0.24049677406737968,-0.2636300378030061,-0.27305493696354505,-0.27815713666309,-0.2795094326200269,-0.2813425285359454,-0.28207594784641116,-0.27992646984302133,-0.27611536910267653,-0.27159089853642426,-0.266859157206707,-0.26217433951653774,-0.25761292440478323,-0.2532604557048784},
+{3.6192784130276032,2.5602852951662953,1.389014479347425,0.6099102680654767,0.15889477854000644,-0.07162380440095648,-0.18602581832690435,-0.24192385229405788,-0.2646159249489964,-0.2738132742710908,-0.27874570663682846,-0.2799803511158374,-0.2817718563790892,-0.2824083647166243,-0.28017560148935866,-0.2763067472631843,-0.2717424168942432,-0.26698182328596864,-0.26227542905398743,-0.25769731503754956,-0.2533315645360951},
+{3.618926052363648,2.5517186280348776,1.3807404316795389,0.6032758443739519,0.154315438394184,-0.07466957819079892,-0.18807220541046588,-0.24333854684346398,-0.26559268049160906,-0.2745644758214317,-0.2793284348588674,-0.28044725647142854,-0.282197035209151,-0.2827366993946706,-0.28042134926969947,-0.27649534527850717,-0.271891589231897,-0.26710245991815035,-0.26237472653169913,-0.25778009817571856,-0.2534012130720859},
+{3.6185341191757754,2.5431540801530836,1.3724906441920433,0.5966723857933147,0.1497643833916325,-0.07769327508298511,-0.19010212821623443,-0.24474095900809817,-0.266560387920066,-0.2753086029427816,-0.2799053722251108,-0.2809102189079647,-0.2826180798959745,-0.283060985882547,-0.2806637463428629,-0.2766811908966776,-0.2720384387203815,-0.26722108687802226,-0.2624722492150281,-0.257861289163496,-0.25346941516088395},
+{3.6181027609887098,2.534591833167713,1.3642650897794806,0.59009979806591,0.14524146150142928,-0.08069504422238888,-0.19211571231754798,-0.2461311892206041,-0.26751912985995563,-0.27604571638697645,-0.2804765691546599,-0.28136930670750526,-0.28303500556465006,-0.2833812580514599,-0.28090282555897866,-0.2768643115727826,-0.2721829882839631,-0.26733772373290177,-0.2625680141914214,-0.2579409031882003,-0.2535361845129558},
+{3.6176321256844726,2.5260320671275793,1.3560637407620186,0.5835579866644282,0.1407465212656007,-0.08367503382345778,-0.1941130823280064,-0.2475093370611824,-0.2684689880825746,-0.276775876335576,-0.28104207559471456,-0.28182458613260697,-0.28344782759819853,-0.28369754963740734,-0.28113861946112506,-0.27704473447209366,-0.27232526060307977,-0.26745238984510916,-0.2626620383724934,-0.25801895528207663,-0.25360153470274954},
+{3.617122361492598,2.5174749604902247,1.347886568907029,0.577046856800207,0.1362794118009419,-0.08663339117435578,-0.19609436190836405,-0.24887550126493715,-0.2694100435141944,-0.2774991424058944,-0.2816019410254161,-0.28227612135820146,-0.283856561639221,-0.28400989423690515,-0.28137116028700526,-0.277222486473169,-0.2724652781171968,-0.2675651043743855,-0.26275433849607777,-0.2580954603240942,-0.2536654791702148},
+{3.616573616980484,2.508920690128637,1.3397335454501569,0.5705663134314529,0.13183998280074724,-0.0895702626411223,-0.19805967377338132,-0.250229779729169,-0.27034237624527496,-0.2782155736569583,-0.282156214464641,-0.28272397441548547,-0.2842612235905894,-0.2843183253028633,-0.28160047997067594,-0.2773975941709314,-0.2726030630276334,-0.26767588628028294,-0.26284493112824414,-0.25817043304173803,-0.2537280312222991},
+{3.6159860410437843,2.500369431337953,1.3316046411158626,0.5641162612713854,0.12742808453644686,-0.09248579367184975,-0.20000913969864556,-0.2515722695206037,-0.27126606553959504,-0.2789252285953932,-0.28270494447273514,-0.28316820514741614,-0.28466182961525416,-0.28462287614060167,-0.28182661014431376,-0.2775700838797275,-0.27273863730035497,-0.26778475432452564,-0.2629338326653008,-0.25824388801278986,-0.2537892040344338},
+{3.6153597828969204,2.4918213578421744,1.3234998261374555,0.5576966047963031,0.12304356785917739,-0.09538012880086702,-0.20194288052735168,-0.252903066882566,-0.2721811898433192,-0.2796281651812409,-0.2832481791572004,-0.28360887117538325,-0.28505839613525,-0.2849235799040192,-0.28204958214002623,-0.27773998163635577,-0.2728720226687295,-0.26789172707333325,-0.2630210593357572,-0.2583158396670959,-0.25384901065198145},
+{3.6146949920636344,2.483276641800867,1.3154190702766,0.5513072482535685,0.11868628420125524,-0.09825341165294152,-0.20386101617704508,-0.25422226724209035,-0.27308782679398597,-0.28032444083370406,-0.28378596617732166,-0.2840460278765303,-0.2854509398299541,-0.28522046959189745,-0.2822694269916987,-0.2779073132030693,-0.27300324063625425,-0.2679968228997226,-0.2631066272022732,-0.258386302288327,-0.2539074639916822},
+{3.613991818367654,2.474735453815864,1.3073623428423218,0.5449480956695203,0.11435608557758105,-0.10110578494748874,-0.20576366564633397,-0.2555299652169759,-0.2739860532294173,-0.2810141124368272,-0.2843183527487494,-0.2844797283711779,-0.2858394776336875,-0.2855135780443514,-0.28248617543687465,-0.2780721040705577,-0.27313231247924263,-0.2681000599857717,-0.2631905521635741,-0.25845529001571144,-0.25396457684306617},
+{3.613250411923433,2.466197962937978,1.2993296127095006,0.5386190508573064,0.11005282458696536,-0.10393739050279328,-0.2076509470215585,-0.25682625462278297,-0.27487594519655467,-0.2816972363451063,-0.2848453856480256,-0.2849100235197517,-0.2862240267327091,-0.2858029379394183,-0.28269985791867486,-0.27823437946089885,-0.2732592592494833,-0.2682014563248596,-0.2632728499563417,-0.25852281684576733,-0.25402036186984994},
+{3.612470923126966,2.457664336673701,1.291320848336862,0.5323200174246366,0.10577635441336229,-0.10674836924024403,-0.2095229774834265,-0.258111228479772,-0.27575757796021017,-0.28237386838903494,-0.2853671112170599,-0.285336961928607,-0.28660460456167597,-0.28608858178978974,-0.2829105045877436,-0.2783941643304884,-0.2733841017768687,-0.2683010297238747,-0.2633535361570894,-0.2585888966340082,-0.254074831611321},
+{3.61165350264668,2.449134740991915,1.28333601778446,0.5260508987814599,0.10152652882705167,-0.10953886118857101,-0.21137987331360966,-0.2593849790197838,-0.2766310260117367,-0.2830440638805799,-0.28588357536755754,-0.28576058996410597,-0.2869812287996184,-0.28637054193967443,-0.28311814530422785,-0.2785514833729416,-0.2735068606719865,-0.268398797805397,-0.2634326261840006,-0.258653543096636,-0.2541279984836961},
+{3.610798301414436,2.440609340330607,1.2753750887306812,0.5198115981475618,0.09730320218572759,-0.11230900548810097,-0.21322174990130605,-0.2606475976930659,-0.27749636307761794,-0.283707877618598,-0.286394823585396,-0.28618095177432656,-0.2873539173654975,-0.28664885056180517,-0.283322809639779,-0.27870636102196805,-0.2736275563286779,-0.26849477800984733,-0.26351013529875056,-0.25871676981220854,-0.25417987478146475},
+{3.6099054706165563,2.4320882976035763,1.2674380284887379,0.5136020185600875,0.0931062294355248,-0.11505894039501142,-0.2150487217497654,-0.26189917517503786,-0.27835366212797324,-0.28436536389418493,-0.28690090093495607,-0.2865980893177494,-0.28772268841338544,-0.2869235396545778,-0.28352452687958835,-0.27885882145422525,-0.2737462089265777,-0.2685889875976154,-0.2635860786083075,-0.25877859022329797,-0.254230472678715},
+{3.608975161684985,2.423571774207156,1.259524804022691,0.5074220628809862,0.08893546611197538,-0.11778880328559467,-0.21686090248277085,-0.2631398013729953,-0.27920299538497273,-0.28501657649595846,-0.2874018520633942,-0.2870120423983006,-0.2880875603273151,-0.28719464103931513,-0.28372332602443084,-0.27900888859213496,-0.2738628384335979,-0.2686814436511489,-0.26366047106669527,-0.2588390176381115,-0.25427980423044183},
+{3.608007526288506,2.4150599300269464,1.2516353819629895,0.5012716338043778,0.08479076834088131,-0.12049873066053435,-0.21865840485109442,-0.2643695654327459,-0.2800444343311791,-0.28566156871528786,-0.2878977212048838,-0.2874228487061356,-0.2884485517158596,-0.28746218635768284,-0.2839192357927539,-0.27915658610669053,-0.2739774646084116,-0.26877216307703455,-0.2637333274767572,-0.25889806523211323,-0.2543278813738418},
+{3.607002716324028,2.4065529234445338,1.243769728621531,0.4951506338638446,0.08067199283913787,-0.12318885814917989,-0.22044134073890714,-0.2655885557451274,-0.28087804971779645,-0.28630039335145346,-0.2883885521847954,-0.2878305438635432,-0.28880568140645635,-0.28772620706921603,-0.2841122846227603,-0.27930193742021925,-0.2740901070028807,-0.2688611626080311,-0.2638046624918725,-0.2589557460495977,-0.2543747159295834},
+{3.605960883907974,2.3980509113442356,1.235927810006261,0.489058965439639,0.0765789969154762,-0.1258593205138308,-0.22220982117015084,-0.2667968599523447,-0.2817039115728306,-0.28693310271674793,-0.2888743884238363,-0.28823516147540557,-0.28915896843953065,-0.28798673444898865,-0.28430250067452945,-0.27944496570913435,-0.27420078496447015,-0.26894845880509105,-0.2638744906176708,-0.2590120730052658,-0.2544203196030743},
+{3.6048821813677296,2.3895540491198437,1.2281095918353078,0.4829965307658275,0.0725116384711459,-0.1285102516540254,-0.22396395631488428,-0.26799456495399826,-0.2825220892091733,-0.2875597486415211,-0.28935527294214386,-0.2886367331836338,-0.2895084320624428,-0.28824379958540874,-0.2844899118321454,-0.2795856939066485,-0.27430951763862066,-0.26903406805934904,-0.26394282621370957,-0.25906705888575815,-0.25446470398569865},
+{3.60376676123317,2.3810624906813693,1.2203150395506606,0.4769632319373456,0.06846977600053765,-0.13114178461082832,-0.22570385549557542,-0.26918175691259005,-0.2833326512325928,-0.28818038247915634,-0.28983124836333096,-0.28903528872505513,-0.2898540917232894,-0.2884974333781348,-0.28467454570583706,-0.2797241447054677,-0.27441632397109894,-0.2691180065940856,-0.26400968349513704,-0.2591207163511781,-0.2545078805560498},
+{3.602614776228284,2.3725763884618187,1.2125441183314056,0.47095897091698463,0.06445326859172637,-0.13375405157113204,-0.22742962719337081,-0.2703585212582697,-0.2841356655496421,-0.28879505511100234,-0.29030235691848927,-0.28943085599223844,-0.2901959670645886,-0.28874766653612916,-0.2848564296341428,-0.2798603405604558,-0.27452122271032076,-0.2692002904666684,-0.264075076534335,-0.25917305793658507,-0.25454986068114},
+{3.6014263792628523,2.364095893423943,1.2047967931065147,0.46498364954229926,0.06046197592697152,-0.13634718387195038,-0.22914137905432128,-0.2715249426924758,-0.2849311993754853,-0.2894038169512373,-0.2907686404501504,-0.289823461096763,-0.2905340779168692,-0.28899452957582544,-0.2850355906860787,-0.27999430369127815,-0.27462423240963724,-0.2692809355704688,-0.26413901926253647,-0.25922409605346636,-0.2545906556176044},
+{3.600201723424211,2.355621155067035,1.1970730285672022,0.45903716953243584,0.056495758283144015,-0.13892131200472163,-0.23083921789556677,-0.27268110519012395,-0.28571931924163196,-0.2900067179516744,-0.291230140416192,-0.2902131284344893,-0.2908684442921825,-0.28923805281941534,-0.28521205566331564,-0.28012605608500796,-0.27472537142959785,-0.2693599576367437,-0.26420152547141673,-0.2592738429911835,-0.2546302765128786},
+{3.5989409619691033,2.3471523214337062,1.1893727891788584,0.4531194324948942,0.05255447653209833,-0.1414765656196099,-0.23252324971149552,-0.27382709199998395,-0.2865000910035942,-0.2906038076065222,-0.29168689789371943,-0.29059988075240184,-0.29119908637756703,-0.2894782663932648,-0.28538585110237474,-0.2802556194987208,-0.2748246579401904,-0.2694373722365131,-0.26426260881467784,-0.2593223109184032,-0.25466873440637816},
+{3.597644248315585,2.338689539116687,1.1816960391925588,0.447230339932206,0.04863799214099265,-0.14401307352980638,-0.2341935796798527,-0.27496298564289157,-0.28727357984845575,-0.2911951349570767,-0.2921389535828841,-0.2909837392166127,-0.2915260245284655,-0.28971520022642866,-0.2855570032768157,-0.28038301546204575,-0.27492210992303756,-0.2695131947823878,-0.26432228280957965,-0.2593695118844905,-0.25470604023064036},
+{3.596311736035026,2.3302329532656367,1.1740427426561637,0.44136979324854037,0.044746167172530174,-0.1465309637158373,-0.23585031216782115,-0.27608886790753523,-0.2880398503023597,-0.29178074859637126,-0.29258634781067605,-0.29136472348118336,-0.29184927926212595,-0.2899488840492942,-0.28572553819945107,-0.28050826527971073,-0.27501774517358685,-0.26958744053039907,-0.26438056083847666,-0.2594154578208994,-0.2547422048124785},
+{3.5949435788441764,2.321782707593961,1.1664128634250157,0.43553769375623835,0.040878864285172026,-0.14903036332986427,-0.23749355073806164,-0.27720481984359185,-0.2887989662379128,-0.29236069667376047,-0.2930291205346653,-0.291742851757391,-0.29216887125098906,-0.29017934739231505,-0.2858914816245463,-0.280631390034043,-0.27511158130325414,-0.2696601245817855,-0.26443745615030306,-0.25946016054251897,-0.25477723887410497},
+{3.593539930597318,2.313338944385645,1.1588063651722378,0.4297339426822638,0.0370359467332736,-0.15151139869999186,-0.2391233981547141,-0.27831092175213645,-0.2895509908815082,-0.29293502689946077,-0.29346731134670595,-0.2921181408831579,-0.2924848213160761,-0.2904066195848639,-0.2860548590500364,-0.2807524105874531,-0.27520363574155304,-0.26973126188477037,-0.2644929818620363,-0.25950363174901625,-0.254811153034244},
+{3.5921009452784753,2.304901804502093,1.1512232113986451,0.42395844117459186,0.033217278367179345,-0.15397419533456685,-0.24073995638936818,-0.27940725317332044,-0.29029598682056695,-0.29350378654903253,-0.2939009594765988,-0.29249060639232777,-0.2927971504203925,-0.2906307297541788,-0.2862156957197416,-0.28087134758489596,-0.27529392573819617,-0.26980086723630603,-0.26454715096013914,-0.2595458830261472,-0.25484395780923913},
+{3.5906267769937132,2.2964714273889753,1.1436633654422748,0.41821109030851433,0.029422723633264255,-0.15641887792647935,-0.24234332662698838,-0.28049389287145815,-0.2910340160106979,-0.2940670224678109,-0.29433010379571245,-0.2928602625835521,-0.29310587966234647,-0.2908517068244045,-0.2863740166255821,-0.28098822145629415,-0.2753824683651602,-0.2698689552837999,-0.26459997630195664,-0.25958692584704385,-0.2548756636141324},
+{3.5891175799635042,2.2880479510831,1.1361267904875443,0.41249179109287487,0.025652147573907935,-0.15884557035746566,-0.2439336092718077,-0.2815709188177485,-0.29176513978277874,-0.29462478107528955,-0.2947547828205665,-0.2932271225885373,-0.29341103026920284,-0.29106957951573215,-0.2865298465097996,-0.2811030524189497,-0.2754692805187405,-0.26993554052682495,-0.26465147061710703,-0.25962677157349556,-0.2549062807637501},
+{3.5875735085151788,2.2796315122192885,1.1286134495740463,0.40680044447623287,0.02190541582744207,-0.1612543957024023,-0.2455109039531853,-0.2826384081709743,-0.29248941884995816,-0.2951771083694498,-0.295175034716376,-0.29359119843943915,-0.2937126235905684,-0.2912843763436263,-0.28668320986717083,-0.28121586047991937,-0.27555437892156864,-0.2700006373187958,-0.26470164650882544,-0.2596654314571886,-0.25493581947376},
+{3.585994717075427,2.2712222460372553,1.1211233056049794,0.40113695135294686,0.018182394628027756,-0.163645476233602,-0.2470753095314195,-0.28369643725658306,-0.2932069133145798,-0.2957240499310387,-0.29559089730055427,-0.2939525011352294,-0.294010681091923,-0.29149612561813676,-0.28683413094722954,-0.2813266654383726,-0.275637780124609,-0.2700642598686345,-0.2647505164553005,-0.259702916640948,-0.2549642898617233},
+{3.5843813601628987,2.26282028638851,1.1136563213552433,0.3955012125691946,0.014482950805495238,-0.16601893342510368,-0.2486269241035367,-0.2847450815446379,-0.2939176826750268,-0.29626565092780566,-0.2960024080461802,-0.29431104070684205,-0.29430522434819634,-0.29170485544329505,-0.28698263375647615,-0.2814354868879177,-0.2757195005091322,-0.2701264222424077,-0.26479809281098704,-0.25973923815993916,-0.2549917019481332},
+{3.58273359238086,2.254425765743275,1.1062124594791822,0.38989312892891653,0.010806951785138859,-0.16837488795695887,-0.25016584500903066,-0.28578441562715623,-0.294621785832492,-0.2968019561186783,-0.2964096040854264,-0.29466682628097796,-0.2945962750374005,-0.29191059371658684,-0.28712874206058936,-0.2815423442189049,-0.2757995562886579,-0.27018713836494646,-0.26484438780788866,-0.25977440694286574,-0.25501806565743895},
+{3.581051568409932,2.246038815197399,1.0987916825180004,0.384312601199684,0.007154265587444298,-0.17071345971951732,-0.25169216883557277,-0.2868145131953752,-0.2953192810976716,-0.29733300985790423,-0.29681252221294935,-0.2950198661424193,-0.2948838549343188,-0.2921133681285087,-0.28727247938663847,-0.2816472566207079,-0.275877963510881,-0.2702464220214463,-0.26488941355685097,-0.25980843381314384,-0.25504339081906335},
+{3.5793354430008906,2.237659564479297,1.0913939529068533,0.3787595301185041,0.003524760827799761,-0.17303476781770202,-0.25320599142468486,-0.28783544701749736,-0.2960102261973816,-0.29785885609913254,-0.29721119888924674,-0.2953701677947531,-0.29516798590425897,-0.2923132061621901,-0.2874138690252806,-0.281750243083978,-0.2759547380595693,-0.27030428685904645,-0.2649331820488159,-0.25984132949005534,-0.2550676871684052},
+{3.577585370967545,2.22928814195689,1.0840192329816172,0.37323381639754066,-0.00008169328386348901,-0.17533893057528682,-0.25470740787737045,-0.28884728891744654,-0.2966946782811041,-0.2983795383994572,-0.2976056702439735,-0.2957177380194003,-0.29544868989686884,-0.2925101350930875,-0.287552934032959,-0.28185132240286975,-0.27602989565643543,-0.2703607463883826,-0.26497570515608265,-0.2598731045898868,-0.2550909643478273},
+{3.57580150717969,2.2209246746445688,1.0766674849853612,0.3677353607297779,-0.0036652269434583745,-0.1776260655391625,-0.25619651255972,-0.2898501097551331,-0.29737269392745647,-0.29889509992341323,-0.29799597207925194,-0.296062582932886,-0.295725988940026,-0.2927041819887552,-0.28768969723409893,-0.28195051317724795,-0.27610345186299323,-0.2704158139851333,-0.2650169946335608,-0.259903769627054,-0.2551132319076379},
+{3.5739840065561266,2.2125692882101626,1.0693386710745072,0.36226406379460613,-0.007225969753173477,-0.17989628948359576,-0.2576733991084664,-0.29084397940869944,-0.2980443291505869,-0.2994055834469212,-0.2983821398730458,-0.2964047080422698,-0.29599990513379615,-0.2928953737086708,-0.2878241812232856,-0.2820478338148694,-0.2761754220823822,-0.2704695028915327,-0.2650570621200051,-0.25993333501520083,-0.255134499307061},
+{3.572133024057744,2.2042221069819146,1.0620327533247016,0.35681982626333597,-0.010764050721964576,-0.18214971841449185,-0.2591381604365147,-0.29182896675915,-0.298709639406503,-0.2999110313611947,-0.298764208782876,-0.2967441182986957,-0.2962704606444689,-0.29308373690413386,-0.28795640836744696,-0.28214330253353725,-0.2762458215611734,-0.270521826217874,-0.2650959191392611,-0.25996181106829375,-0.2551547759151875},
+{3.570248714680689,2.195883253955479,1.0547496937364043,0.35140254880464883,-0.014279598266062116,-0.18438646757363955,-0.26059088873843367,-0.2928051396777193,-0.2993686795993251,-0.300411485676601,-0.2991422136504906,-0.2970808181490195,-0.2965376776986691,-0.2932692980182197,-0.2880864008080175,-0.28223693736323435,-0.27631466539115557,-0.2705727969439898,-0.26513357710149527,-0.25998920800168945,-0.2551740710119281},
+{3.5683312334495914,2.1875528508009183,1.0474894542401971,0.34601213208996817,-0.017772740209537508,-0.18660665144295696,-0.26203167549590317,-0.29377256501626914,-0.3000215040874699,-0.3009069880264727,-0.2995161890086004,-0.29741481158548516,-0.2968015785775541,-0.2934520832857992,-0.28821418046310326,-0.2823287561482317,-0.2763819685110928,-0.27062242792071195,-0.2651700473044262,-0.2600155359331967,-0.2551923937889463},
+{3.566380735410861,2.1792310178697205,1.0402519967018236,0.3406484767987733,-0.02124360378490159,-0.1888103837487264,-0.2634606114831408,-0.294731308600939,-0.3006681666897653,-0.3013975796708862,-0.2998861690913655,-0.29774610219343084,-0.2970621856110847,-0.2936321187336104,-0.2883397690296293,-0.2824187765491709,-0.27644774570846287,-0.27067073187132107,-0.2652053409345551,-0.26004080488411413,-0.25520975335058166},
+{3.564397375626062,2.170917874201821,1.033037282926971,0.3353114836238383,-0.024692315633735685,-0.19099777746581736,-0.2648777867722755,-0.29568143522921064,-0.30130872069149384,-0.30188330150038456,-0.30025218785077223,-0.29807469319701935,-0.29731952117238863,-0.2938094301803916,-0.2884631879854824,-0.28250701604512835,-0.27651201162117833,-0.27071772139296557,-0.26523946906838425,-0.26006502478026255,-0.2552261587147649},
+{3.5623813091653442,2.162613537532638,1.0258452746657898,0.3300010532763995,-0.028119001807384043,-0.19316894482191624,-0.2662832907387002,-0.29662300867048785,-0.30194321885037223,-0.3023641940396733,-0.30061427898129534,-0.2984005875029963,-0.297573607672207,-0.29398404323706695,-0.28858445859164156,-0.2825934919356533,-0.27657478073927844,-0.27076340895807466,-0.26527244267363914,-0.2600882054529962,-0.25524161881392177},
+{3.5603326911009496,2.154318124300113,1.018675933617174,0.3247170864912641,-0.0315237877676524,-0.19532399730172917,-0.26767721206637973,-0.2975560916702227,-0.30257171340246014,-0.30284029745126123,-0.3009724759551484,-0.29872378774246916,-0.29782446755342923,-0.2941559833069851,-0.28870360189429856,-0.2826782213427806,-0.2766360674066061,-0.27080780691574546,-0.2653042726104857,-0.26011035664020254,-0.25525614249586687},
+{3.558251676500788,2.1460317496517693,1.011529221432802,0.31945948403183977,-0.03490679838756817,-0.1974630456511913,-0.2690596387531221,-0.29848074595757085,-0.30319425606800166,-0.30331165153906636,-0.30132681207001444,-0.2990442963107425,-0.2980721232857173,-0.294325275586209,-0.28882063872696717,-0.2827612212130238,-0.27669588582245913,-0.27085092749311657,-0.26533496963273434,-0.26013148798729024,-0.25526973852468654},
+{3.5561384204220743,2.1377545274517717,1.0044050997209382,0.31422814669510957,-0.03826815795216275,-0.19958619988165893,-0.27043065811582756,-0.29939703225651404,-0.30381089805720507,-0.30377829575198506,-0.30167732051046936,-0.2993621154052095,-0.2983165973602244,-0.2944919450638598,-0.28893558971258254,-0.28284250831934776,-0.27675425004322785,-0.27089278279672513,-0.26536454438905177,-0.26015160904816376,-0.2552824155816131},
+{3.5539930779050315,2.129486570287999,0.9973035300500174,0.30902297531653006,-0.04160799015928579,-0.2016935692740921,-0.27179035679568225,-0.3003050103003243,-0.3044216900759498,-0.30424026918740854,-0.3020240344233913,-0.299677247061341,-0.29855791228440104,-0.29465601652249895,-0.28904847526558025,-0.28292209926310785,-0.27681117398400223,-0.27093338481384227,-0.26539300742414823,-0.2601707292861783,-0.25529418226588485},
+{3.5518158039666776,2.121227989479127,0.9902244739520119,0.3038438707748702,-0.04492641812047564,-0.20378526238323547,-0.27313882076333534,-0.30120473884922727,-0.3050266823314369,-0.304697610594717,-0.3023669870067335,-0.2999896931867979,-0.29879609057690004,-0.2948175145385747,-0.28915931559397995,-0.28300001047598455,-0.2768666714201712,-0.27097274541379823,-0.2654203691799715,-0.26018885807509695,-0.25530504709560553},
+{3.549606753594648,2.112978895081708,0.9831678929255776,0.2986907339969802,-0.04822356436183306,-0.20586138704178022,-0.2744761353240286,-0.30209627571106457,-0.30562592453777027,-0.30515035837872095,-0.3027062116100715,-0.3002994555936917,-0.29903115476257375,-0.29497646348289436,-0.28926813070143625,-0.28307625822187743,-0.27692075598899063,-0.2710108763492865,-0.2654466399968858,-0.2602060047000193,-0.25531501850858207},
+{3.547366081741118,2.1047393958972815,0.9761337484390111,0.29356346596249355,-0.05149955082495267,-0.20792205036452366,-0.275802385122695,-0.30297967776475493,-0.3062194659214742,-0.3055985506030683,-0.30304174184455396,-0.300606536029054,-0.2992631273675687,-0.2951328875211587,-0.289374940389294,-0.2831508585987906,-0.27697344119113715,-0.27104778925765044,-0.2654718301148361,-0.2602221783583111,-0.25532410486316287},
+{3.5450939433167634,2.0965095994794685,0.9691220019329992,0.2884619677084726,-0.054754498867871454,-0.20996735875251155,-0.27711765414902817,-0.3038550009863031,-0.30680735522695385,-0.30604222499361766,-0.30337361169924415,-0.3009109362035311,-0.29949203091451626,-0.29528681061452944,-0.2894797642586165,-0.28322382754069036,-0.2770247403922468,-0.2710834956621607,-0.26549594967451334,-0.2602373881605135,-0.25533231443906207},
+{3.5427904931848038,2.088289612141087,0.9621326148231836,0.28338614033398035,-0.057988529266047625,-0.21199741789717222,-0.27842202574250574,-0.3047223004771138,-0.30738964072188363,-0.3064814189417652,-0.30370185566042046,-0.3012126578183651,-0.29971788791782117,-0.29543825652024064,-0.2895826217122113,-0.28329518081934063,-0.2770746668244238,-0.2711180069732675,-0.26551900871849576,-0.26025164313124516,-0.25533965543817233},
+{3.540455886155097,2.0800795389612654,0.9551655485025388,0.2783358850045925,-0.06120176221339092,-0.2140123327844459,-0.2797155825973866,-0.30558163049434506,-0.30796637020254675,-0.30691616950774636,-0.30402650883022186,-0.3015117025907081,-0.29994072087905266,-0.295587248792253,-0.289683531956635,-0.28336493404612506,-0.277123233587743,-0.27115133448984957,-0.2655410171923872,-0.2602649522100975,-0.25534613598537503},
+{3.53809027697831,2.0718794837925705,0.9482207643435763,0.2733111029568468,-0.06439431732329273,-0.2160122076988925,-0.28099840676767457,-0.30643304448302344,-0.3085375909990991,-0.3073465134238874,-0.3043476070410087,-0.3018080722772983,-0.30016055228242455,-0.2957338107819432,-0.28978251400418414,-0.28343310267383376,-0.2771704536517217,-0.27118348940042997,-0.26556198494593247,-0.2602773242525063,-0.25535176412933547},
+{3.5356938203401485,2.063689549268134,0.9412982237003741,0.2683116955026241,-0.06756631362971109,-0.21799714622779748,-0.28227057967203745,-0.3072765951096628,-0.3091033499807905,-0.307772487097834,-0.30466518696203054,-0.3021017686965796,-0.300377404590391,-0.29587796563883967,-0.28987958667488306,-0.28349970199844615,-0.27721633985678595,-0.2712144827843981,-0.26558192173413425,-0.26028876803062956,-0.25535654784329453},
+{3.5332666708556517,2.0555098368087936,0.9343978879104476,0.2633375640334746,-0.07071786958826942,-0.21996725126525998,-0.28353218209870784,-0.3081123342970944,-0.309663693561108,-0.30819412661573437,-0.30497928619529496,-0.3023927937492812,-0.30059130023932507,-0.2960197363113832,-0.28997476859843674,-0.28356474716087804,-0.2772609049157069,-0.27124432561319867,-0.2656008372183383,-0.26029929223419934,-0.25536049502584185},
+{3.5308089830635354,2.04734044663022,0.927519718296455,0.258388610024875,-0.07384910307737987,-0.22192262501626828,-0.2847832942103328,-0.30894031326026605,-0.310218667702872,-0.30861146774538784,-0.3052899433579964,-0.3026811494375324,-0.3008022616353103,-0.29615914554772943,-0.29006807821618624,-0.28362825314871626,-0.27730416141502323,-0.27127302875151327,-0.2656187409673124,-0.26030890547137325,-0.2553636135016905},
+{3.528320911420632,2.039181477750076,0.9206636761677562,0.2534647350404268,-0.07696013139942058,-0.22386336900077347,-0.28602399554880487,-0.30976058254273525,-0.3107683179232727,-0.30902454593936923,-0.3055971981493725,-0.30296683788256246,-0.3010103111500283,-0.2962962158965921,-0.29015953378304593,-0.28369023479793465,-0.27734612181645224,-0.2713006029584297,-0.26563564245831695,-0.26031761626957506,-0.2553659110224404},
+{3.5258026102963558,2.031033027995151,0.9138297228218251,0.24856584073599605,-0.08005107128190149,-0.22578958405773494,-0.2872543650400496,-0.3105731920536099,-0.31131268929884265,-0.30943339633810474,-0.3059010914003898,-0.3032498613410193,-0.3012154711167452,-0.2964309697081039,-0.2902491533694183,-0.2837507067945833,-0.27738679845827563,-0.2713270588885953,-0.26565155107814825,-0.2603254330763192,-0.25536739526732855},
+{3.5232542339672532,2.0228951940085182,0.9070178195455151,0.2436918288637825,-0.08312203887869038,-0.22770137034917015,-0.2884744809987789,-0.3113781911047095,-0.3118518264703791,-0.3098380537729217,-0.3062016651052224,-0.30353022221998466,-0.30141776382640517,-0.296563429134722,-0.2903369548631031,-0.2838096836764639,-0.2774262035567101,-0.2713524070933505,-0.26566647612417116,-0.2603323642600346,-0.25536807384397575},
+{3.5206759366116063,2.0147680712566873,0.9002279276161994,0.23884260127633983,-0.08617314977124203,-0.22959882736417894,-0.2896844211332238,-0.3121756284477092,-0.3123857736478045,-0.3102385527690656,-0.30649896243402164,-0.3038079230907174,-0.3016172115238152,-0.2966936161321603,-0.2904229559711848,-0.2838671798347786,-0.2774643492072615,-0.271376658021856,-0.2656804268053405,-0.260338418110868,-0.25536795428912235},
+{3.5180678723040986,2.0066517540367586,0.8934600083027744,0.2340180599305318,-0.08920451896985435,-0.2314820539229568,-0.2908842625498131,-0.31296555231107065,-0.312914574614971,-0.31063492754867683,-0.3067930277269477,-0.3040829667011825,-0.30181383640394277,-0.29682155246034525,-0.29050717422190697,-0.283923209515772,-0.2775012473860673,-0.27139982202220386,-0.26569341224320187,-0.26034360284149294,-0.25536704406935884},
+{3.5154301950105475,1.9985463354835808,0.8867140228665413,0.2292181068914242,-0.09221626091497155,-0.23335114818080555,-0.29207408175783955,-0.3137480104365614,-0.31343827273441455,-0.3110272120337461,-0.3070839064699114,-0.30435535598741786,-0.3020076606083021,-0.29694725968441066,-0.29058962696653357,-0.283977786822338,-0.2775369099512106,-0.2714219093425122,-0.265705441472877,-0.2603479265878946,-0.25536535058184234},
+{3.5127630585826806,1.9904519075769096,0.879989932561971,0.22444264433612646,-0.09520848947847801,-0.23520620763211658,-0.29325395467408105,-0.3145230501151836,-0.3139569109520465,-0.3114154398490264,-0.3073716452528165,-0.30462509408377536,-0.3021987062214475,-0.29707075917570624,-0.2906703313811877,-0.28403092571561894,-0.2775713486440315,-0.2714429301320088,-0.2657165234440347,-0.2603513974101533,-0.25536288115500944},
+{3.5100666167529946,1.982368561148566,0.8732876986373533,0.21969157455756338,-0.0981813179650418,-0.2370473291143515,-0.2944239566273859,-0.3152907182223565,-0.3144705318017968,-0.31179964432491974,-0.3076562917114381,-0.3048921843320907,-0.30238699526756396,-0.297192072112844,-0.29074930446868424,-0.2840826400165834,-0.2776045750904123,-0.2714628944421042,-0.26572666702185077,-0.2603540232932205,-0.2553596430492847},
+{3.5073410231296567,1.974296385889594,0.8666072823353383,0.21496479996820167,-0.10113485911346672,-0.2388746088120028,-0.29558416236324403,-0.31605106125220306,-0.3149791774101982,-0.31217985850033,-0.30793789445431974,-0.30515663028981826,-0.30257254970715836,-0.2973112194827585,-0.29082656306033833,-0.284132943407581,-0.277636600802051,-0.2714818122274421,-0.2657358809879453,-0.26035581214767894,-0.25535564345776973},
+{3.5045864311914756,1.966235470357423,0.8599486448933773,0.21026222310371023,-0.10406922509806191,-0.24068814226053942,-0.29673464604829874,-0.3168041253508163,-0.3154828895009201,-0.3125561151254856,-0.30821650297625164,-0.3054184357371737,-0.3027553914338492,-0.2974282220818003,-0.29090212381776387,-0.2841818494338866,-0.2776674371777213,-0.27149969334695034,-0.26574417404130785,-0.260356771810505,-0.2553508895069384},
+{3.5018029942829214,1.9581859019830197,0.8533117475440578,0.20558374662656398,-0.10698452753006091,-0.24248802435034988,-0.2978754812748499,-0.3175499563483919,-0.3159817093992492,-0.3129284466647307,-0.3084921675600412,-0.3056776046833265,-0.3029355422712496,-0.2975431005168394,-0.29097600323465156,-0.28422937150521704,-0.2776970955045111,-0.2715165475648631,-0.26575155479920837,-0.26035691004581,-0.25534538825731007},
+{3.4989908656092132,1.9501477670780465,0.8466965515153543,0.20092927332959643,-0.10988087745902361,-0.24427434933065545,-0.29900674106531433,-0.31828859979012936,-0.316475678036516,-0.31329688529928734,-0.3087649391683476,-0.30593414137167896,-0.3031130239699562,-0.29765587520640113,-0.29104821763853705,-0.2842755228972391,-0.2777255869590519,-0.2715323845517367,-0.265758031798096,-0.26035623454558193,-0.2553391467041284},
+{3.496150198231461,1.9421211508420144,0.8401030180307814,0.1962987061394861,-0.11275838537428882,-0.24604721081342176,-0.3001284978766461,-0.31902010096581884,-0.31696483595446817,-0.31366146292998454,-0.3090348693273912,-0.30618805028427104,-0.303287858204625,-0.29776656638181515,-0.29111878319254453,-0.28432031675305325,-0.27775292260872814,-0.2715472138854509,-0.2657636134944776,-0.26035475293041827,-0.25533217177802425},
+{3.4932811450618675,1.934106137369435,0.8335311083094673,0.19169194812019957,-0.11561716120643273,-0.24780670177724992,-0.30124082360474946,-0.3197445049380495,-0.317449223309601,-0.31402221117996487,-0.3093020100043462,-0.3064393361453574,-0.30346006657115393,-0.2978751940883859,-0.29118771589712855,-0.28436376608466163,-0.27777911341287803,-0.2715610450521876,-0.2657683082657891,-0.2603524727502459,-0.2553244703456757},
+{3.490383858858977,1.9261028096569632,0.8269807835661445,0.18710890247637,-0.11845731432874013,-0.24955291457124926,-0.30234378958882785,-0.32046185656897735,-0.3179288798774205,-0.31437916139734884,-0.30956641348014113,-0.30668800392418133,-0.3036296705839474,-0.29798177818657373,-0.2912550315917775,-0.28440588377441844,-0.27780417022396975,-0.2715738874473903,-0.2657721244112455,-0.26034940148503805,-0.2553160492104545},
+{3.487458492223006,1.9181112496105457,0.8204520050110654,0.18254947255662335,-0.12127895355872395,-0.25128594091890943,-0.3034374666157313,-0.32117220054562334,-0.31840384505667607,-0.3147323446578881,-0.30982813221937816,-0.30693405883701236,-0.3037966916732856,-0.2980863383532066,-0.2913207459567294,-0.28444668257646605,-0.27782810378877604,-0.27158575037671384,-0.26577507015268353,-0.2603455465455203,-0.25530691511307324},
+{3.4845051975911976,1.9101315380525565,0.813944733849844,0.17801356185685446,-0.1240821871596243,-0.25300587192194063,-0.30452192492425223,-0.3218755814036524,-0.3188741578735263,-0.31508179176757384,-0.3100872187389223,-0.30717750634845764,-0.3039611511827788,-0.29818889408269217,-0.29138487451464573,-0.28448617511814833,-0.27785092474952394,-0.27159664305694514,-0.2657771536353921,-0.26034091527387027,-0.2552970747322205},
+{3.4815241272332544,1.9021637547289325,0.8074589312832311,0.1735010740234387,-0.12686712284195945,-0.25471279806411273,-0.30559723420939566,-0.32257204354963703,-0.3193398569856651,-0.3154275332652263,-0.3103437254766396,-0.30741835217212,-0.3041230703669189,-0.298289464688251,-0.29144743263228745,-0.2845243739014134,-0.2778726436450337,-0.2716065746169112,-0.26577838292891987,-0.2603355149444077,-0.2552865346851883},
+{3.4785154332468253,1.8942079783162993,0.8009945585068253,0.16901191285640466,-0.12963386776507205,-0.25640680921506914,-0.3066634636266248,-0.32326163128177304,-0.3198009806863946,-0.31576959942505334,-0.3105977046616221,-0.3076566022706226,-0.3042824703887193,-0.2983880693031661,-0.291508435522166,-0.2845612913041924,-0.2778932709118459,-0.27161555409836846,-0.26577876602788497,-0.26032935276428043,-0.2552753015284977},
+{3.475479267553041,1.8862642864290957,0.7945515767107222,0.16454598231254378,-0.13238252853869453,-0.25808799463412974,-0.3077206817960655,-0.32394438880907067,-0.32025756690865037,-0.316108020259181,-0.31084920818710077,-0.30789226285505655,-0.3044393723174394,-0.29848472688203687,-0.2915678982441777,-0.2845969395817689,-0.27791281688533115,-0.271623590456869,-0.26577831085275755,-0.2603224358741387,-0.2552633817585066},
+{3.472415781892109,1.8783327556266893,0.7881299470791087,0.16010318650847072,-0.13511321122455536,-0.2597564429740829,-0.3087689568066876,-0.32462036026900976,-0.32070965322898276,-0.31644282552016195,-0.3110982874871223,-0.3081253403838931,-0.3045937971264083,-0.29857945620205467,-0.29162583570723344,-0.2846313308681318,-0.2779312918007947,-0.2716306925626274,-0.2657770252506469,-0.26031477134880643,-0.25525078181202915},
+{3.469325127818954,1.87041346142048,0.7817296307897998,0.15568342972363403,-0.13782602133796376,-0.2614122422849524,-0.3098083562204522,-0.3252895897436856,-0.3211572768714821,-0.31677404470344783,-0.3113449934179136,-0.30835584156139,-0.30474576569092265,-0.298672275864276,-0.29168226267085656,-0.28466447717730364,-0.2779487057945518,-0.2716368692013511,-0.2657749169960588,-0.26030636619794045,-0.2552375080669259},
+{3.466207456698937,1.862506478281007,0.7753505890137325,0.15128661640326896,-0.14052106384944543,-0.2630554800177608,-0.31083894707642723,-0.3259521212744721,-0.321600474711668,-0.31710170704984597,-0.31158937614473387,-0.3085837733355602,-0.3048952987862444,-0.29876320429492154,-0.29173719374678025,-0.28469639040466577,-0.2779650689050093,-0.27164212907508367,-0.2657719937916588,-0.26029722736668803,-0.25522356684270886},
+{3.4630629197035923,1.8546118796450337,0.7689927829144046,0.14691265116131075,-0.1431984431863681,-0.2646862430282634,-0.3118607958948785,-0.326607998875215,-0.3220392832803211,-0.31742584154794157,-0.3118314850348767,-0.308809142895708,-0.3050424170856636,-0.2988522597466663,-0.2917906434005163,-0.28472708232825433,-0.27798039107371664,-0.2716464808030204,-0.2657682632690108,-0.26028736173633,-0.2552089644011202},
+{3.4598916678064544,1.846729737922636,0.7626561736472793,0.14256143878324845,-0.14585826323458687,-0.26630461758067575,-0.3128739686813223,-0.32725726654400833,-0.32247373876727525,-0.31774647693649344,-0.3120713685573569,-0.3090319576696055,-0.30518714115866413,-0.29893946029995105,-0.2918426259529142,-0.2847565646100503,-0.27799468214641654,-0.2716499329223235,-0.2657637329893122,-0.2602767761249257,-0.2551937069467188},
+{3.4566938517789048,1.8388601245042702,0.7563407223591407,0.13823288422893285,-0.1485006273401282,-0.26791068935138834,-0.3138785309305558,-0.3278999682735843,-0.32290387702516615,-0.31806364170681556,-0.31230907418971593,-0.30925222532032764,-0.3053294914691575,-0.29902482386429563,-0.29189315558171147,-0.28478484879725474,-0.27800795187407584,-0.27165249388893425,-0.2657584104441208,-0.26026547728794264,-0.255177800627457},
+{3.453469622186107,1.831003109767844,0.7500463901874193,0.13392689263533822,-0.15112563831084883,-0.2695045434326519,-0.3148745476306553,-0.3285361480603571,-0.32332973357312894,-0.31837736410512063,-0.3125446483322356,-0.30946995374278374,-0.3054694883738042,-0.29910836817961983,-0.2919422463230532,-0.28481194632354023,-0.27802020991391035,-0.27165417207837567,-0.26575230305606407,-0.2602534719188857,-0.25516125153524505},
+{3.4502191293829574,1.8231587630857584,0.7437731382594776,0.1296433693192676,-0.15373339841814096,-0.27108626433626337,-0.31586208326693666,-0.32916584991217196,-0.32375134360045327,-0.31868767213484267,-0.31277813622978534,-0.30968515105998407,-0.305607152120408,-0.29919011081756564,-0.2919899120730093,-0.2848378685102959,-0.2780314658303863,-0.27165497578655284,-0.26574541817954367,-0.26024076664991463,-0.25514406570651743},
+{3.4469425235101183,1.8153271528319608,0.7375209276918684,0.12538221978002076,-0.15632400939863522,-0.27265593599722254,-0.3168412018259054,-0.3297891178548052,-0.3241687419701977,-0.3189945935589392,-0.3130095819014156,-0.309897825619072,-0.30574250284638865,-0.299270069182831,-0.29203616658906995,-0.28486262656785094,-0.27804172909622316,-0.2716549132305526,-0.2657377631014304,-0.2602273680524585,-0.2551262491227835},
+{3.443639954490084,1.8075083463889667,0.7312897195895629,0.12114334970201134,-0.15889757245590802,-0.27421364177737545,-0.3178119667991544,-0.3304059959372692,-0.3245819632227558,-0.31929815590216293,-0.3132390280777281,-0.3101079859871489,-0.3058755605773398,-0.29934826051450275,-0.29208102349162735,-0.2848862315966926,-0.27805100909337693,-0.2716539925494431,-0.2657293450417505,-0.2602132826378233,-0.2551078077111861},
+{3.440311572023304,1.799702410154879,0.72507947504515,0.11692666495733199,-0.16145418826223376,-0.2757594644690511,-0.318774441187251,-0.33101652823597494,-0.3249910415793818,-0.3195983864533139,-0.31346651614597854,-0.31031564094692005,-0.30600634522564263,-0.2994247018873951,-0.2921244962654443,-0.28490869458865864,-0.27805931511401016,-0.2716522218050685,-0.26572017115435564,-0.26019851685778866,-0.2550887473450375},
+{3.4369575255843614,1.7919094095503962,0.7188901551380169,0.11273207160828509,-0.16399395696031105,-0.2772934862986684,-0.319728687503588,-0.331620758857804,-0.32539601094567566,-0.3198953122674673,-0.31369208610282434,-0.31052079949218997,-0.3061348765891704,-0.29949941021338905,-0.2921665982611011,-0.28493002642812415,-0.27806665636145333,-0.2716496089828434,-0.2657102485275976,-0.2601830771052031,-0.2550690738443591},
+{3.4335779644181934,1.7841294090257998,0.7127217209335025,0.1085594759098545,-0.16651697816502836,-0.2788157889303357,-0.3206747677781967,-0.3322187319421471,-0.3257969049150188,-0.3201889601681726,-0.3139157765145282,-0.3107234708232265,-0.3062611743500547,-0.29957240224277665,-0.2922073426964371,-0.2849502378931703,-0.27807304195115723,-0.2716461619925533,-0.26569958418498,-0.26016696971457354,-0.2550487929764187},
+{3.4301730375363677,1.7763624720679345,0.7065741334820385,0.10440878431214579,-0.1690233509652257,-0.2803264534694299,-0.3216127435615544,-0.33281049166196564,-0.3261937567719746,-0.3204793567496368,-0.3141376244844305,-0.31092366434201446,-0.30638525807352135,-0.29964369456560186,-0.2922467426579678,-0.28496933965673826,-0.27807848091162524,-0.27164188866914196,-0.26568818508581177,-0.2601502009626389,-0.25502791045624695},
+{3.426742893713419,1.768608661207174,0.70044735381827,0.10027990346277763,-0.1715131739254657,-0.2818255604661587,-0.32254267592833896,-0.3333960822239315,-0.3265865994956481,-0.32076652837888153,-0.3143576656274259,-0.3111213896474278,-0.3065071472068012,-0.29971330361301,-0.2922848111022954,-0.284987342287775,-0.27808298218534716,-0.2716367967735089,-0.2656760581258504,-0.260132777068955,-0.2550064319471668},
+{3.423287681483201,1.7608680380243646,0.6943413429601598,0.0961727402092248,-0.17398654508783912,-0.28331318991911186,-0.3234646254811701,-0.33397554786769973,-0.32697546576299724,-0.3210505011978728,-0.31457593405116374,-0.311316656530323,-0.3066268610780992,-0.29978124565858755,-0.2923215608574972,-0.2850042562523584,-0.27808655462970866,-0.2716308939933001,-0.26566321013793137,-0.260114704196453,-0.25498436306130234},
+{3.419807549135326,1.7531406631577624,0.688256061908084,0.09208720160112832,-0.17644356197374564,-0.28478942127878804,-0.32437865235431973,-0.3345489328643713,-0.32736038795211414,-0.32133130112563724,-0.31479246234365654,-0.3115094749685763,-0.30674441889563575,-0.29984753681971127,-0.29235700462450326,-0.28502009191481004,-0.278089207017899,-0.27162418794369225,-0.2656496478925975,-0.26009598845200776,-0.25496170936008855},
+{3.4163026447116365,1.7454265963099527,0.6821914716439176,0.08802319489255206,-0.17888432158571538,-0.2862543334511118,-0.3252848162173846,-0.33511628151420053,-0.3277413981454577,-0.321608953860348,-0.3150072815669667,-0.311699855122088,-0.30685983974674735,-0.29991219305888867,-0.29239115497845986,-0.28503485953880464,-0.27809094803980294,-0.2716166861681833,-0.265635378098717,-0.26007663588699076,-0.25493847635477573},
+{3.412773116002724,1.7377258962547482,0.6761475331301079,0.08398062754420917,-0.18130892040922192,-0.2877080048009303,-0.326183176278953,-0.3356776381435985,-0.32811852813305387,-0.321883484881392,-0.3152204212566255,-0.31188780732774946,-0.30697314259705466,-0.2999752301851036,-0.292424024370078,-0.28504856928845024,-0.27809178630288683,-0.2716083961393738,-0.26562040740409704,-0.26005665249782395,-0.25491466950692665},
+{3.409219110544496,1.730038620844076,0.6701242073087457,0.07995940722564024,-0.1837174544145006,-0.28915051315549006,-0.3270737912902164,-0.3362330471014886,-0.3284918094156481,-0.3221549194514149,-0.315431909426409,-0.3120733420943965,-0.3070843462896867,-0.30003666385515415,-0.29245562512696516,-0.2850612312293689,-0.27809173033306855,-0.271599325259743,-0.26560474239608295,-0.2600360442265206,-0.2548902942289067},
+{3.405640775614792,1.7223648270148464,0.6641214551006263,0.07595944181735098,-0.1861100190584059,-0.2905819358079077,-0.3279567195485783,-0.3367825527550639,-0.32886127320783043,-0.3224232826183441,-0.3156417725781303,-0.3122564700977549,-0.3071934695445715,-0.30009650957499207,-0.29248596945494626,-0.28507285532975635,-0.2780907885755803,-0.2715894808624212,-0.26558838960216,-0.2600148169612258,-0.25486535588437476},
+{3.4020382582300517,1.7147045707958006,0.6581392374043157,0.071980639412916,-0.18848670928623595,-0.29200234952061144,-0.32883201890121966,-0.3373261994849965,-0.3292269504411142,-0.3226885992173898,-0.3158500357160532,-0.3124372021753871,-0.3073005309577791,-0.3001547827010612,-0.29251506943936767,-0.2850834514614338,-0.27808896939582095,-0.27157887021196014,-0.265571355490542,-0.259992976536748,-0.2548398597887596},
+{3.398411705142024,1.707057907314344,0.652177515095206,0.06802290832103097,-0.1908476195336007,-0.293411830528776,-0.32969974674864055,-0.33786403168014895,-0.32958887176697743,-0.3229508938730257,-0.31605672236558163,-0.3126155493216475,-0.30740554900093153,-0.30021149844162615,-0.29254293704638923,-0.28509302940088777,-0.27808628108019984,-0.27156750050509126,-0.26555364647075386,-0.25997052873508947,-0.2548138112097406},
+{3.3947612628345203,1.6994248908033591,0.6462362490245785,0.06408615706753928,-0.19319284372827605,-0.29481045454373256,-0.3305599600481855,-0.3383960937318312,-0.3299470675598739,-0.3232101910009475,-0.3162618545958468,-0.3127915226826564,-0.3075085420206632,-0.30026667185810246,-0.29256958412426043,-0.28510159883029007,-0.27808273183696486,-0.2715553788714816,-0.26553526889420753,-0.2599474792859615,-0.25478721536771526},
+{3.391087077520225,1.6918055746080038,0.6403154000186658,0.06017029439741406,-0.19552247529206646,-0.2961982967563646,-0.33141271531752386,-0.3389224300276551,-0.3303015679201972,-0.32346651481001115,-0.3164654530458402,-0.31296513355129174,-0.30760952823814103,-0.3003203178663814,-0.2925950224045829,-0.28510916933851493,-0.2780783297970258,-0.2715425123744767,-0.2655162290547763,-0.25992383386730633,-0.2547600774362634},
+{3.387389295137537,1.684200011192482,0.6344149288777149,0.056275229276694635,-0.19783660714270004,-0.29757543184049356,-0.33225806863812135,-0.339443084945023,-0.33065240267721907,-0.3237198893041531,-0.3166675369537507,-0.3131363933622174,-0.3077085257486419,-0.30037245123815337,-0.2926192635035666,-0.28511575042214127,-0.27807308301477063,-0.27152890801184754,-0.26549653318935684,-0.2598995981058061,-0.2547324025426161},
+{3.383668061347473,1.6766082521467998,0.6285347963750606,0.052400870894402145,-0.20013533169569234,-0.2989419339562328,-0.3330960756586728,-0.3399581028442966,-0.33099960139198137,-0.3239703382842829,-0.3168681241891531,-0.3133053136869265,-0.3078055525211763,-0.3004230866022195,-0.2926423189232527,-0.2851213514864363,-0.2780669994688621,-0.27151457271651025,-0.2654761874784218,-0.259874777577384,-0.25470419576809844},
+{3.3799235215306025,1.6690303481935034,0.6226749632561979,0.04854712866439527,-0.2024187408662525,-0.300297876753345,-0.3339267915985117,-0.34046752806168734,-0.3313431933601651,-0.32421788535016816,-0.31706723128773845,-0.31347190622884724,-0.30790062639818044,-0.30047223844580906,-0.2926642000527518,-0.28512598184634336,-0.278060087063035,-0.2714995133572591,-0.26545519804658263,-0.25984937780771095,-0.2546754621485938},
+{3.376155820784035,1.6614663491943906,0.6168353902378677,0.04471391222720947,-0.20468692607117212,-0.3016433333745594,-0.3347502712510015,-0.34097140490190053,-0.33168320761490977,-0.32446255390228773,-0.3172648734882598,-0.3136361828184594,-0.30799376509523835,-0.30051992111587805,-0.29268491816944164,-0.2851296507274359,-0.2780523536268793,-0.27148373673947024,-0.26543357096312326,-0.25982340427269124,-0.25464620667497895},
+{3.3723651039184452,1.653916304157206,0.611016038007149,0.04090113145184938,-0.2069399782307212,-0.30297837645888925,-0.33556656898688636,-0.3414697776305754,-0.33201967292960827,-0.32470436714366924,-0.3174610647714015,-0.31379815540847583,-0.3080849862008737,-0.30056614882041216,-0.2927044844401643,-0.2851323672668799,-0.27804380691661323,-0.27146724960580815,-0.2654113122425453,-0.25979686239896066,-0.254616434293567},
+{3.368551515455153,1.6463802612423108,0.6052168672205576,0.03710869643754047,-0.2091779877705776,-0.3043030781449293,-0.3363757387576325,-0.3419626904665578,-0.3323526178206671,-0.32494334808171504,-0.31765581790029057,-0.3139578360690608,-0.3081743071763756,-0.3006109356297244,-0.29272290992241634,-0.28513414051437513,-0.27803445461585174,-0.2714500586369215,-0.26538842784510375,-0.259769757564362,-0.2545861499065476},
+{3.364715199623231,1.6388582677693335,0.5994378385031608,0.033336517515457575,-0.2114010446237199,-0.30561751007412663,-0.3371778340987293,-0.34245018757402834,-0.33268207055022736,-0.32517951952999813,-0.31784914446237045,-0.31411523698309357,-0.30826174535567824,-0.300654295477738,-0.29274020556550784,-0.2851349794330892,-0.2780243043363608,-0.27143217045212475,-0.2653649236773289,-0.2597420950984275,-0.254555358372413},
+{3.3608563003566827,1.6313503702238017,0.5936789124477018,0.02958450525039899,-0.21360923823236566,-0.30692174339405065,-0.3379729081329729,-0.3429323130545296,-0.3330080591288565,-0.32541290411004514,-0.31804105491239393,-0.3142703704414921,-0.30834731794528064,-0.30069624216327095,-0.29275638221172817,-0.2851348929005748,-0.278013363618805,-0.2714135916100725,-0.26534080559255463,-0.25971388028285425,-0.2545240645063893},
+{3.3569749612916246,1.6238566142637403,0.587940049613734,0.025852570442443705,-0.21580265754988648,-0.3082158487616308,-0.3387610135737281,-0.3434091109389104,-0.33333061131820735,-0.3256435242531038,-0.3182315586162891,-0.3144232488385776,-0.3084310420242079,-0.3007367893513105,-0.2927714505974847,-0.28513388970968245,-0.2780016399334882,-0.2713943286094238,-0.2653160793914299,-0.2596851183519663,-0.25449227308085187},
+{3.3530713257635494,1.616377044726258,0.5822212105267767,0.022140624128562304,-0.21798139104273195,-0.3094998963463805,-0.3395422027281519,-0.3438806251792226,-0.3336497546336394,-0.32587140220188404,-0.3184206638956853,-0.31457388466750025,-0.30851293454401785,-0.3007759505742803,-0.292785421354436,-0.2851319785694613,-0.27798914068108244,-0.27137438788949664,-0.26529075082243375,-0.25965581449318725,-0.25445998882574994},
+{3.349145536804606,1.6089117056341067,0.5765223556774768,0.01844857758419153,-0.22014552669238505,-0.31077395583361844,-0.3403165275004085,-0.3443468996405938,-0.3339655163468173,-0.32609656001229337,-0.3186083780728721,-0.31472229051571865,-0.3085930123288372,-0.3008137392333044,-0.29279830501061066,-0.285129168106046,-0.2779758731933515,-0.27135377583091286,-0.265264825582379,-0.25962597384748975,-0.2544272164290144},
+{3.345197737140933,1.6014606402022118,0.570843445520791,0.014776342324781852,-0.22229515199727995,-0.3120380964276505,-0.34108403939484866,-0.3448079780930984,-0.33427792348826757,-0.3263190195551436,-0.31879470751603,-0.3148684790605297,-0.30867129207543853,-0.3008501685994552,-0.29281011199151125,-0.2851254668635355,-0.2779618447338615,-0.2713324987562292,-0.26523830931691234,-0.2595956015098524,-0.25439396053696595},
+{3.3412280691900365,1.59402389084419,0.5651844404751865,0.011123830107298179,-0.22443035397476233,-0.3132923868549528,-0.34184478951916103,-0.34526390420365227,-0.3345870028499116,-0.3265388025178442,-0.31897965768451714,-0.31501246306466796,-0.3087477903533546,-0.300885251815005,-0.29282085262121177,-0.28512088330486407,-0.27794706249868706,-0.2713105629305662,-0.2652112076210116,-0.2595647025297121,-0.2543602257547228},
+{3.337236675058194,1.5866014991788306,0.5595453009218516,0.007490952931699615,-0.22655121916302584,-0.31453689536732754,-0.34259882858751883,-0.34571472152794835,-0.3348927809875615,-0.3267559304060842,-0.31916323317408285,-0.31515425537194813,-0.30882252360501516,-0.3009190018946618,-0.29283053712343715,-0.2851154258126532,-0.27793153361711,-0.27128797456221593,-0.26518352603947054,-0.25953328191140107,-0.25432601664659515},
+{3.333223696537917,1.5791935060365605,0.553925987203935,0.003877623042376613,-0.22865783362305964,-0.31577168974504155,-0.3433462069236747,-0.34616047350245627,-0.33519528422338996,-0.3269704245454891,-0.3193454377618343,-0.3152938689029837,-0.30889550814592437,-0.3009514317267997,-0.2928391756226324,-0.28510910269006623,-0.27791526515230586,-0.27126473980325655,-0.2651552700673918,-0.2595013446145929,-0.2542913377364833},
+{3.329189275105445,1.5717999514658794,0.5483264596257929,0.00028375292955120507,-0.23075028294061953,-0.31699683729996075,-0.34408697446405634,-0.34660120343650663,-0.3354945386483704,-0.32718230608326654,-0.31952627445083553,-0.3154313166509532,-0.30896676016486113,-0.30098255407468466,-0.2928467781450231,-0.28510192216164354,-0.2778982641020258,-0.2712408647501369,-0.26512644515065875,-0.25946889555473207,-0.25425619350826995},
+{3.325133551918282,1.5644208747397725,0.5427466784522625,-0.0032907446693455737,-0.23282865222816704,-0.31821240487864966,-0.34482118076082297,-0.3470369545044637,-0.33579057012468067,-0.3273915959898329,-0.3197057455142021,-0.31556661167742783,-0.30903629572410574,-0.30101238157768434,-0.2928533546196575,-0.2850938923741288,-0.27788053739926655,-0.27121635544426703,-0.2650970566864112,-0.2594359396034669,-0.25422058840620265},
+{3.3210566678127726,1.5570563143620977,0.5371866039079551,-0.006845956768345946,-0.23489302612684299,-0.3194184588654666,-0.34554887498489806,-0.3474677697380181,-0.33608340428808536,-0.32759831506042814,-0.31988385253859075,-0.31569976710827186,-0.30910413075969834,-0.3010409267524764,-0.29285891487944404,-0.2850850213972909,-0.27786209191294153,-0.271191217872597,-0.26506711002352,-0.25940248158907125,-0.25418452683527765},
+{3.3169587633017126,1.5497063080739397,0.5316461961765643,-0.010381970131635547,-0.23694348880842547,-0.3206150651856383,-0.3462701059289939,-0.34789369201860443,-0.3363730665502849,-0.32780248391670797,-0.3200605964669836,-0.31583079612959103,-0.3091702810817144,-0.30106820199424733,-0.2928634686621702,-0.28507531722472895,-0.27784293444853136,-0.2711654579681793,-0.26503661046304694,-0.25936852629687035,-0.25414801316162144},
+{3.312839978572017,1.542370892859954,0.5261254154002045,-0.01389887127228705,-0.2389801239772871,-0.32180228930831123,-0.3469849220105906,-0.34831476406995293,-0.3366595821012345,-0.32800412300832654,-0.3202359776406652,-0.31595971198375616,-0.3092347623745707,-0.3010942195778801,-0.2928670256115167,-0.28506478777467503,-0.2778230717487341,-0.2711390816107282,-0.2650055632587067,-0.2593340784696545,-0.2541110517128595},
+{3.308700453482403,1.5350501049546665,0.5206242216787613,-0.017396746451023945,-0.24100301487238124,-0.3229801962496024,-0.34769337127491096,-0.3487310284507981,-0.3369429759114412,-0.3282032526145036,-0.3204099958403331,-0.31608652796548253,-0.3092975901973463,-0.3011189916591347,-0.2928695952780561,-0.2850534408907845,-0.27780251049410853,-0.2711120946271733,-0.26497397361732067,-0.25929914280808963,-0.2540736467784927},
+{3.3045403275611256,1.5277439798487553,0.5151425750692733,-0.02087568167501586,-0.24301224426919532,-0.32414885057561316,-0.348395501397861,-0.34914252754774455,-0.3372232727342232,-0.3283998928455695,-0.3205826503262616,-0.31621125741797235,-0.3093587799841286,-0.30114253027582255,-0.29287118712023963,-0.28504128434291076,-0.2777812573036994,-0.2710845027921951,-0.2649418466992681,-0.25926372397112607,-0.254035802610257},
+{3.300359740003754,1.5204525522953076,0.5096804355853267,-0.02433576269671413,-0.2450078944817351,-0.3253083164054433,-0.3490913596889472,-0.3495493035683028,-0.33750049710795155,-0.32859406364450466,-0.3207539398774596,-0.316333913729129,-0.30941834704438276,-0.301164847348968,-0.29287181050537775,-0.2850283258278869,-0.27775931873566234,-0.2710563118287622,-0.26490918761893445,-0.2592278265764037,-0.253997523422493},
+{3.2961588296709756,1.5131758563160438,0.5042377631964828,-0.02777707501270774,-0.24699004736449082,-0.32645865741417573,-0.34978099309418337,-0.34995139853410134,-0.3377746733582577,-0.32878578478845555,-0.3209238628297775,-0.31645451032782657,-0.30947630656333086,-0.30118595468396026,-0.2928714747106023,-0.2850145729702794,-0.27773670128786904,-0.2710275274086532,-0.2648760014451479,-0.2591914552006478,-0.25395881339249754},
+{3.2919377350864463,1.505913925207514,0.4988145178277222,-0.031199703862620158,-0.24895878431440593,-0.32759993683585004,-0.3504644481989555,-0.3503488542742882,-0.3380458256002153,-0.328975075890242,-0.3210924171129163,-0.31657306068025176,-0.3095326736023584,-0.3012058639717032,-0.2928701889238223,-0.28500003332314555,-0.2777134113985048,-0.27099815515297393,-0.2648422932016185,-0.2591546143800654,-0.253919676660881},
+{3.287696594434672,1.4986667915472751,0.49341065935891304,-0.03460373422804104,-0.25091418627287326,-0.3287322174664229,-0.3511417712308839,-0.3507417124191223,-0.3383139777405016,-0.32916195639984813,-0.32125960028630773,-0.31668957828630906,-0.30958746309943663,-0.30122458678975067,-0.29286796224467404,-0.28498471436878076,-0.2776894554466599,-0.2709682006326702,-0.26480806786737116,-0.25911730861073623,-0.2538801173319222},
+{3.2834355455589392,1.4914344872000276,0.48802614762431007,-0.037989250831477965,-0.2528563337276906,-0.32985556166670216,-0.3518130080626486,-0.35113001439375646,-0.3385791534795197,-0.3293464456058952,-0.3214254095738319,-0.3168040766760835,-0.3096406898695556,-0.30124213460342975,-0.2928648036854465,-0.28496862351944907,-0.27766483975289324,-0.2709376693690205,-0.26477333037717077,-0.25907954234899655,-0.25384013947390693},
+{3.27915472595926,1.4842170433237358,0.48266094241206603,-0.04135633813535867,-0.2547853067150571,-0.33097003136527775,-0.3524782042147961,-0.35151380141223204,-0.33884137631351235,-0.32952856263710717,-0.32158984189735745,-0.31691656940638835,-0.30969236860518723,-0.30125851876696624,-0.29286072217201137,-0.2849517681181194,-0.2776395705798022,-0.2709065668341417,-0.2647380856219493,-0.2590413200118261,-0.25379974711948167},
+{3.2748542727903853,1.4770144903757096,0.47731500346377925,-0.04470508034104276,-0.25670118482154136,-0.3320756880614176,-0.3531374048585323,-0.3518931144716674,-0.33910066953663237,-0.32970832646375636,-0.3217528939090809,-0.31702707005735326,-0.30974251387674717,-0.30127375052458766,-0.29285572654473124,-0.28493415543917544,-0.2776136541325685,-0.2708748984514683,-0.26470233844922203,-0.25900264597722145,-0.2537589442659838},
+{3.270534322859819,1.4698268581186666,0.47198829047406177,-0.04803556138788161,-0.25860404718605423,-0.33317259282796274,-0.3537906548184793,-0.3522679943466615,-0.3393570562429999,-0.3298857558990944,-0.3219145620226628,-0.3171355922291006,-0.3097911401330864,-0.301287841011625,-0.2928498255593637,-0.28491579268913264,-0.2775870965594955,-0.2708426695962342,-0.26466609366350197,-0.25896352458457406,-0.2537177348757821},
+{3.266195012625895,1.462654175626757,0.46668076309012596,-0.0513478649523067,-0.2604939725018524,-0.3342608063142029,-0.35443799857542374,-0.3526384815839095,-0.33961055932873224,-0.3300608696007781,-0.3220748424431528,-0.3172421495384764,-0.30983826170199075,-0.3013008012556051,-0.2928430278879543,-0.2848966870073411,-0.27755990395254404,-0.2708098855959491,-0.26462935602671256,-0.2589239601350377,-0.25367612287661007},
+{3.261836478195871,1.455496471291564,0.46139238091140844,-0.05464207444693638,-0.2623710390184909,-0.3353403887487261,-0.3550794802690376,-0.3530046164970208,-0.3398612014939462,-0.3302336860722665,-0.32223373119569576,-0.3173467556158477,-0.309883892790695,-0.3013126421773307,-0.29283534211971834,-0.28487684546667713,-0.2775320823478467,-0.27077655173086107,-0.2645921302585906,-0.2588839568918947,-0.2536341121618942},
+{3.2574588553240877,1.4483537728280802,0.45612310348920976,-0.057918273019735886,-0.2642353245438251,-0.33641139994226577,-0.35571514370057017,-0.353366439161565,-0.3401090052447373,-0.3304042236642215,-0.3223912241530382,-0.31744942410197263,-0.3099280474864157,-0.3013233745919541,-0.29282677676191093,-0.28485627507423283,-0.27750363772622827,-0.27074267323442297,-0.2645544210370946,-0.25884351908092423,-0.2535917065910769},
+{3.253062279410116,1.4412261072806407,0.4508728903263627,-0.06117654355318487,-0.26608690644597865,-0.33747389929051896,-0.356345032335539,-0.3537239894103166,-0.3403539928951372,-0.3305725005758802,-0.32254731706182427,-0.3175501686449288,-0.3099707397568893,-0.3013330092100365,-0.29281734024069245,-0.28483498277199065,-0.277474576013711,-0.2707082552937397,-0.26451623299879473,-0.25880265089075166,-0.2535489099899414},
+{3.2486468854969797,1.434113501028839,0.4456417008769271,-0.06441696866348808,-0.26792586165531707,-0.3385279457769524,-0.3569691893063778,-0.35407730682872557,-0.34059618656904816,-0.330738534856423,-0.3227020055677071,-0.31764900289711767,-0.31001198345093417,-0.3013415566386082,-0.2928070409019775,-0.284812975437501,-0.27744490308202174,-0.27067330305002546,-0.26447757073927564,-0.25876135647321336,-0.2535057261509323},
+{3.2442128082693977,1.4270159797934108,0.44042949454590774,-0.06763963069981485,-0.2697522666664472,-0.3395735979755991,-0.3575876574150757,-0.3544264307505952,-0.34083560820214676,-0.3309023444063251,-0.32285528523927454,-0.3177459405123211,-0.3100517922990153,-0.30134902738220803,-0.2927958870122814,-0.2847902598845388,-0.27741462474908984,-0.2706378215990405,-0.2644384388135165,-0.25871963994369873,-0.25346215883346396},
+{3.239760182052052,1.4199335686420804,0.43523623068899936,-0.07084461174356146,-0.27156619754017225,-0.34061091405382554,-0.35820047913579783,-0.3547714002539738,-0.3410722795437754,-0.331063946978693,-0.323007151590823,-0.31784099514283787,-0.3100901799138252,-0.3013554318439175,-0.29278388675954736,-0.2847668428637615,-0.2773837467795478,-0.2706018159915263,-0.2643988417362858,-0.25867750538150347,-0.2534182117642389},
+{3.2352891408079065,1.4128662919953876,0.43006186861235635,-0.07403199360765629,-0.27336772990548924,-0.34163995177509526,-0.35880769661746825,-0.3551122541572596,-0.34130622215880396,-0.33122336018059384,-0.3231576001039819,-0.3179341804366785,-0.31012715979088057,-0.301360780326395,-0.2927710482539791,-0.2847427310633597,-0.27735227488522907,-0.2705652912336462,-0.26435878398252105,-0.25863495683017257,-0.25337388863755367},
+{3.2307998181365427,1.4058141736324772,0.42490636757238964,-0.07720185783587558,-0.275156938961551,-0.3426607685017062,-0.3594093516863577,-0.35544903101551084,-0.3415374574294691,-0.331380601474364,-0.32330662624821793,-0.31802551003482543,-0.31016274530912363,-0.3013650830328809,-0.2927573795288449,-0.28471793110969124,-0.27732021472566454,-0.2705282522874003,-0.2643182699877018,-0.2585919982978372,-0.2533291931156058},
+{3.2262923472725418,1.3987772366968603,0.4197696867755875,-0.0803542857022021,-0.27693389947964164,-0.34367342119751554,-0.3600054858486287,-0.3557817691169712,-0.3417660065571969,-0.331535688178911,-0.32345422550023983,-0.3181149975685639,-0.31019694973154055,-0.3013683500682149,-0.29274288854129044,-0.2846924495679222,-0.2772875719085807,-0.2704907040710575,-0.2642773041482327,-0.25854863375755643,-0.2532841288287913},
+{3.2217668610838928,1.3917555037021456,0.4146517853783617,-0.083489358210211,-0.2786986858051645,-0.3446779664306536,-0.3605961402928763,-0.35611050647979187,-0.3419918905643978,-0.33168863747100225,-0.32360039336233165,-0.3182026566568731,-0.3102297862057879,-0.30137059143983075,-0.29272758317313374,-0.28466629294264567,-0.2772543519903956,-0.2704526514595626,-0.26423589082180904,-0.2585048671476472,-0.25323869937601334},
+{3.217223492070434,1.3847489965377417,0.40955262248692076,-0.08660715609247191,-0.28045137185959673,-0.3456744603762113,-0.3611813558926371,-0.35643528084896253,-0.3422151302962435,-0.3318394663865358,-0.32374512537962774,-0.31828850090388094,-0.31026126776482654,-0.3013718170587427,-0.2927114712316465,-0.28463946767850584,-0.27722056047671606,-0.270414099284951,-0.26419403432778277,-0.2584607023720127,-0.25319290832496766},
+{3.212662372362322,1.3777577364745224,0.4044721571571663,-0.08970775980999914,-0.2821920311424754,-0.3466629588189206,-0.36176117320887996,-0.3567561296934393,-0.3424357464224215,-0.33198819182180456,-0.3238884171563743,-0.31837254389638747,-0.31029140732757254,-0.30137203674052826,-0.2926945604503375,-0.2846119801608059,-0.27718620282283907,-0.27037505233675524,-0.26415173894752697,-0.25841614330047075,-0.2531467592124394},
+{3.208083633718547,1.370781744170466,0.3994103483946161,-0.09279124955170878,-0.2839207367333574,-0.34764351715581326,-0.36233563249249134,-0.3570730902034721,-0.3426537594388687,-0.33213483053474635,-0.3240302643711921,-0.31845479920145225,-0.3103202176995522,-0.3013712602062992,-0.2926768584897203,-0.28458383671611437,-0.27715128443424686,-0.2703355153624048,-0.2641090089247987,-0.258371193769076,-0.2531002555445957},
+{3.2034874075254685,1.36382103967627,0.39436715515435394,-0.09585770523391435,-0.2856375612937838,-0.3486161903988637,-0.3629047736867196,-0.35738619928812126,-0.34286918966948554,-0.33227939914618126,-0.32417066279137124,-0.31853528036404183,-0.3103477115735684,-0.3013694970836619,-0.2926583729380737,-0.2845550436128641,-0.27711581066710894,-0.2702954930676248,-0.2640658484660885,-0.2583258575804397,-0.2530534007972684},
+{3.1988738247953723,1.3568756424409167,0.38934253634099847,-0.0989072064998505,-0.2873425770692589,-0.3495810331776237,-0.3634686364296154,-0.35769549357296826,-0.3430820572678271,-0.33242191414104766,-0.32430960828622635,-0.31861400090474207,-0.3103739015303736,-0.30136675690766757,-0.29263911131219145,-0.28452560706193997,-0.2770797868287823,-0.27025499011682486,-0.26402226174097604,-0.258280138504042,-0.2530061984162389},
+{3.1942430161650903,1.3499455713172275,0.3843364508087045,-0.10193983271921267,-0.2890358558911969,-0.35053809974182837,-0.3640272600564463,-0.3580010093980119,-0.34329238221877956,-0.3325623918696742,-0.32444709683955153,-0.3186909743175336,-0.3103988000393546,-0.3013630491217618,-0.29261908105812856,-0.28449553321726456,-0.2770432181783069,-0.2702140111334923,-0.2639782528824811,-0.2582340402765514,-0.25295865181751986},
+{3.1895951118946164,1.3430308445673746,0.3793488573611844,-0.10495566298774095,-0.29071746917889874,-0.3514874439640002,-0.36458068360208945,-0.35830278281574346,-0.3435001843402076,-0.3327008485491989,-0.32458312456118665,-0.31876621406762995,-0.3104224194592223,-0.3013583830787127,-0.2925982895519332,-0.28446482817637836,-0.27700610992690705,-0.2701725607005705,-0.26393382598740345,-0.25818756660212655,-0.25291076438763105},
+{3.184930241865776,1.336131479868361,0.3743797147517519,-0.10795477612680822,-0.29238748794150043,-0.35242911934202265,-0.3651289458034172,-0.3586008495894055,-0.34370548328459427,-0.33283730026542657,-0.32471768769774245,-0.31883973358937534,-0.3104447720387123,-0.3013527680415383,-0.2925767441003759,-0.284433497981007,-0.27696846723849067,-0.27013064336084275,-0.26388898511666853,-0.2581407211527277,-0.2528625394838781},
+{3.180248535580916,1.3292474943174775,0.3694289816833995,-0.11093725068304752,-0.29404598277992283,-0.35336317900170916,-0.3656720851016468,-0.35889524519142185,-0.34390829854064997,-0.33297176297562714,-0.324850782642501,-0.31891154628420276,-0.3104658699172872,-0.30134621318442273,-0.29255445194166346,-0.28440154861762545,-0.2769302952301386,-0.27008826361730254,-0.26384373429566393,-0.2580935075684169,-0.25281398043461645},
+{3.1755501221616207,1.3223789044377177,0.3644966168088869,-0.11390316492800742,-0.29569302388884555,-0.35428967569935477,-0.3662101396446892,-0.35918600480199936,-0.34410864943491215,-0.33310425251310966,-0.32498240594453337,-0.3189816655186605,-0.31048572512585515,-0.3013387275936252,-0.2925314202461566,-0.28436898601802185,-0.2768915989726066,-0.27004542593353176,-0.26379807751457496,-0.2580459294576604,-0.25276509053953156},
+{3.170835130347472,1.315525726183171,0.35958257873086413,-0.11685259685781528,-0.29732868105863514,-0.35520866182426675,-0.3667431472894622,-0.35947316330789375,-0.34430655513331687,-0.33323478459463096,-0.32511255431705377,-0.3190501046224815,-0.31050434958747825,-0.30133032026837525,-0.29250765611706087,-0.2843358160598398,-0.2768523834908093,-0.2700021347340591,-0.2637520187287125,-0.2579979903976207,-0.25271587306989585},
+{3.1661036884948306,1.3086879749443754,0.3546868260020126,-0.11978562419288946,-0.2989530236773127,-0.35612018940128853,-0.36727114560419544,-0.3597567553013427,-0.3445020346427634,-0.33336337483195444,-0.32524122464504635,-0.3191168768867351,-0.310521755118113,-0.30132100012176505,-0.29248316659113177,-0.28430204456713476,-0.2768126537643144,-0.2699583944047343,-0.2637055618588485,-0.2579496939344553,-0.25266633126883825},
+{3.161355924575637,1.3018656655536471,0.34980931712521146,-0.1227023243776518,-0.3005661207324851,-0.35702431009329444,-0.3677941718707212,-0.36003681507914753,-0.34469510681264914,-0.33349003874887034,-0.3253684139921872,-0.31918199556201343,-0.31053795342732415,-0.3013107759816301,-0.2924579586393538,-0.28426767731090463,-0.27677241472782593,-0.26991420929307763,-0.2636587107915328,-0.25790104358360444,-0.2526164683516009},
+{3.15659196617626,1.2950588122903723,0.344950010553728,-0.12560277458027633,-0.30216804081328347,-0.35792107520368205,-0.36831226308672904,-0.36031337664191576,-0.3448857903363907,-0.3336147918049308,-0.3254941196070963,-0.319245473856693,-0.31055295611903416,-0.3012996565914166,-0.2924320391676203,-0.28423272000962685,-0.27673167127166143,-0.26986958370864134,-0.2636114693794194,-0.25785204283007884,-0.2525662875058009},
+{3.1518119404963576,1.2882674288862677,0.3401088646914262,-0.12848705169246422,-0.3037588521123207,-0.3588105356788467,-0.3688254559680246,-0.3605864736934514,-0.3450741037529335,-0.33373764942687484,-0.3256183389289455,-0.31930732493524444,-0.31056677469225513,-0.3012876506110541,-0.2924054150174058,-0.2841971783297845,-0.27669042824223555,-0.2698245219233622,-0.2635638414415823,-0.25780269512874365,-0.2525157918916838},
+{3.1470159743477693,1.2814915285306094,0.3352858378930043,-0.13135523232922872,-0.30533862242760407,-0.3596927421106314,-0.36933378695075475,-0.36085613964028296,-0.34526006544823246,-0.3338586270483151,-0.3257410695924357,-0.3193675619165994,-0.31057942054183874,-0.30127476661779984,-0.29237809296642686,-0.28416105788639084,-0.27664869044252516,-0.26977902817190524,-0.26351583076383067,-0.25775300390459904,-0.252464984642377},
+{3.1422041941534613,1.2747311238754415,0.33048088846425117,-0.13420739282872185,-0.30690741916448605,-0.36056774473877673,-0.3698372921936157,-0.36112240759134323,-0.3454436936567265,-0.3339777401578296,-0.3258623094321876,-0.3194261978725789,-0.31059090495922315,-0.3012610131070927,-0.2923500797293004,-0.28412436424349824,-0.27660646263254407,-0.2697331066520157,-0.26346744109902215,-0.2577029725530647,-0.2524138688641389},
+{3.1373767259464502,1.2679862270407283,0.32569397466232397,-0.13704360925206255,-0.308465309337581,-0.3614355934533403,-0.37033600758005825,-0.36138531035777033,-0.34562500646278616,-0.33409500435506023,-0.3259820564865558,-0.3194832458263655,-0.31060123913318644,-0.30124639849338586,-0.2923213819581877,-0.2840871029147142,-0.2765637495297992,-0.2696867615248545,-0.263418676167369,-0.2576526044402459,-0.25236244763660864},
+{3.132533695368801,1.2612568496195,0.3209250546960507,-0.13986395738320023,-0.3100123595726858,-0.3622963377971078,-0.3708299687204546,-0.36164488045285387,-0.34580402180215264,-0.3342104354139728,-0.3261003090008887,-0.3195387187510409,-0.31061043415060585,-0.30123093111097954,-0.29229200624344015,-0.2840492793637027,-0.2765205558097511,-0.2696399969153392,-0.26336953965674637,-0.2576019029032173,-0.2523107240130511},
+{3.127675227670628,1.2545430026829503,0.316174086726249,-0.14266851272879993,-0.3115486361087181,-0.3631500269679958,-0.3713192109542654,-0.3619011500920972,-0.34598075746335566,-0.3343240493519988,-0.32621706543026036,-0.319592629568169,-0.3106185009972113,-0.3012146192148382,-0.2922619591142301,-0.28401089900468146,-0.27647688610626364,-0.26959281691248105,-0.26332003522299097,-0.25755087125028314,-0.2522587010205972},
+{3.1228014477091266,1.2478446967855077,0.31144102886607183,-0.14545735051813835,-0.31307420479961356,-0.3639967098214233,-0.3718037693521789,-0.3621541511934074,-0.34615523108911667,-0.3344358625034318,-0.326332324441698,-0.31964499114643113,-0.3106254505583517,-0.30119747098140504,-0.2922312470391746,-0.2839719672029159,-0.27643274501204673,-0.2695452255697075,-0.26327016649020374,-0.2574995127612504,-0.25220638166048726},
+{3.117912479947633,1.2411619419698758,0.30672583918136936,-0.1482305457030374,-0.31458913111625625,-0.364836434872687,-0.3722836787182326,-0.3624039153774046,-0.3463274601777329,-0.3345458915952334,-0.32644608491592036,-0.31969581630031885,-0.310631293619759,-0.30117949450940623,-0.2921998764269617,-0.2839324892752067,-0.2763881370790988,-0.26949722690520106,-0.263219937051045,-0.2574478306876897,-0.25215376890830404},
+{3.11300844845472,1.234494747772042,0.3020284756910748,-0.15098817295779926,-0.3160934801483764,-0.3656692502993048,-0.3727589735919293,-0.36265047396783723,-0.34649746208445154,-0.3346541538232452,-0.32655834594860533,-0.3197451177888691,-0.3106360408683127,-0.30116069782064264,-0.2921678536269557,-0.2838924704903699,-0.2763430668191393,-0.26944882490221567,-0.2631693504670259,-0.25739582825320123,-0.25210086571421453},
+{3.108089476903294,1.227843123226249,0.2973488963676076,-0.15373030667917523,-0.31758731660645256,-0.3664952039433543,-0.3732296882503228,-0.36289385799211965,-0.3466652540228233,-0.33476066692679696,-0.3266691068512225,-0.31979290831445834,-0.3106397028928104,-0.3011410888607853,-0.29213518492980806,-0.28385191606971705,-0.27629753870403584,-0.2694000235094053,-0.2631184102688039,-0.2573435086536723,-0.25204767500319814},
+{3.103155688569754,1.2212070768699426,0.29268705913729764,-0.1564570209863505,-0.31907070482362765,-0.3673143433137936,-0.3736958567100946,-0.3631340981819624,-0.3468308530660392,-0.3348654492597348,-0.3267783671514334,-0.319839200521635,-0.31064229018473255,-0.3011206755001453,-0.2921018765680509,-0.2838108311875204,-0.27625155716622024,-0.2693508266411338,-0.2630671199564613,-0.2572908750575286,-0.25199419967527525},
+{3.098207206333137,1.2145866167486798,0.28804292188082814,-0.15916838972094577,-0.32054370875758814,-0.36812671558877086,-0.37415751272961334,-0.3633712249741131,-0.3469942761482603,-0.33496851985605813,-0.3268861265930981,-0.319884006996007,-0.31064381313901696,-0.3010994655344523,-0.29206793471669446,-0.2837692209714824,-0.27620512659910884,-0.26930123817779583,-0.26301548299979777,-0.2572379306059963,-0.25194044260574394},
+{3.09324415267432,1.2079817504210089,0.2834164424336985,-0.16186448644704582,-0.32200639199247205,-0.3689323676179137,-0.37461468981096835,-0.36360526851118935,-0.3471555400659212,-0.3350698984885323,-0.3269923851359002,-0.31992734026317526,-0.3106442820548285,-0.30107746668561364,-0.2920333654938066,-0.2837270905031974,-0.2761582513575053,-0.2692512619661293,-0.26296350283861003,-0.25718467841334725,-0.2518864066453941},
+{3.088266649675235,1.2013924849633213,0.2788075785867046,-0.16454538445123568,-0.3234588177407464,-0.36973134592460666,-0.37506742120200814,-0.3638362586426117,-0.34731466147902945,-0.3351696057188946,-0.32709714295461756,-0.3199692127877124,-0.3106437071363307,-0.3010546866024727,-0.2919981749610972,-0.2836844448186049,-0.2761109357580078,-0.2692009018195217,-0.26291118288296816,-0.25713112156715123,-0.2518320946207443},
+{3.083274819018097,1.1948188269746605,0.27421628808644005,-0.16721115674266063,-0.3249010488450859,-0.37052369670824953,-0.3755157398983362,-0.3640642249256141,-0.34747165691243986,-0.33526766293853594,-0.3272004004380578,-0.32000963697218543,-0.3106420984934553,-0.30103113286155375,-0.2919623691244851,-0.28364128890844137,-0.2760631840793972,-0.2691501615183146,-0.2628585265134919,-0.2570772631285184,-0.2517775093342476},
+{3.0782687819846872,1.188260782581514,0.26964252863581173,-0.16986187605311087,-0.3263331477802687,-0.37130946584651453,-0.3759596786453124,-0.3642891966263524,-0.34762654275712274,-0.33536409239884535,-0.3273021581876892,-0.32004862515622495,-0.31063946614267646,-0.3010068129678021,-0.2919259539346664,-0.2835976277186843,-0.2760150005630321,-0.26909904481011226,-0.262805537081626,-0.2570231061323447,-0.2517226535645268},
+{3.0732486594556314,1.18171835744256,0.2650862578945747,-0.17249761483710851,-0.3277551766550328,-0.3720886988975733,-0.37639926994002776,-0.3645112027210906,-0.34777933527141836,-0.3354589172306492,-0.32740241701598105,-0.32008618961563656,-0.31063582000777945,-0.30098173435531816,-0.29188893528767434,-0.2835534661509935,-0.27596638941322965,-0.2690475554100759,-0.2627522179099104,-0.25696865358755533,-0.2516675300665777},
+{3.0682145719097136,1.1751915567533926,0.26054743347988635,-0.17511844527203344,-0.32916719721395954,-0.37286144110232095,-0.37683454603325917,-0.3647302718974626,-0.34793005058226406,-0.33555216145248806,-0.3275011779444809,-0.3201223425615579,-0.31063116992063333,-0.3009559043880785,-0.291851319025431,-0.2835088090631488,-0.27591735479764024,-0.26899569700122294,-0.262698572292244,-0.25691390847733686,-0.25161214157199147},
+{3.063166639423221,1.1686803852512073,0.2560260129668741,-0.1777244392582415,-0.3305692708393285,-0.37362773738657423,-0.3772655389314244,-0.3649464325558097,-0.3480787046864272,-0.33564384996770114,-0.32759844220165407,-0.3201570961396496,-0.31062552562195683,-0.30092933036065506,-0.29181311093629364,-0.2834636612694781,-0.27586790084762297,-0.2689434732347228,-0.26264460349415375,-0.25685887375938227,-0.2515564907891665},
+{3.0581049816692962,1.1621848472194611,0.2515219538892209,-0.1803156684192167,-0.33196145855297376,-0.37438763236326794,-0.37769228039850267,-0.3651597128105918,-0.348225313451707,-0.3357340085505352,-0.3276942112204958,-0.3201904624293374,-0.31061889676208926,-0.3009020194989214,-0.29177431675559645,-0.28341802754128387,-0.27581803165860547,-0.2688908877301831,-0.2625903147530557,-0.2568035523661141,-0.251500580403514},
+{3.05302971791733,1.1557049464924969,0.24703521373976778,-0.18289220410174029,-0.3333438210181542,-0.37514117033463185,-0.37811480195795744,-0.3653701404918666,-0.3483698926181382,-0.33582266382169107,-0.32778848663595467,-0.32022245344308853,-0.3106112929017584,-0.30087397896075824,-0.291734942166188,-0.2833719126072681,-0.2757677512904493,-0.2688379440759468,-0.2625357092785138,-0.25674794720492644,-0.2514444130776724},
+{3.0479409670323627,1.1492406864601385,0.2425657499711307,-0.18545411737605808,-0.3347164185413843,-0.3758883952943488,-0.3785331348946256,-0.3655777431468267,-0.3485124577991618,-0.3359098432138734,-0.3278812702821672,-0.3202530811257226,-0.31060272351283996,-0.30084521583674173,-0.2916949927989521,-0.2833253211539427,-0.2757170637677959,-0.26878464582936745,-0.2624807902524967,-0.2566920611584052,-0.2513879914517078},
+{3.0428388474745227,1.1427920700722545,0.23811351999633412,-0.18800147903609354,-0.3360793110742955,-0.3766293509297117,-0.3789473102566056,-0.36578254804140625,-0.34865302448280855,-0.3359955749280963,-0.32797256418954573,-0.3202823573537732,-0.31059319797912854,-0.3008157371508365,-0.2916544742333396,-0.28327825782604954,-0.2756659730804221,-0.2687309965170997,-0.2624255608296336,-0.2566358970845609,-0.2513313181433224},
+{3.0377234772984756,1.1363590998432858,0.2336784811894579,-0.1905343595996426,-0.3374325582154657,-0.3773640806237484,-0.37935735885712796,-0.36598458216193963,-0.34879160803284304,-0.33607988788154086,-0.3280623705817153,-0.3203102939348754,-0.3105827255970935,-0.30078554986107175,-0.29161339199788,-0.28323072722696313,-0.27561448318358084,-0.26867699963537717,-0.2623700241374655,-0.25657945781705066,-0.2512743957480554},
+{3.032594974152899,1.1299417778567502,0.22926059088630202,-0.19305282930860665,-0.3387762192122463,-0.37809262745734457,-0.37976331127640134,-0.36618387221687654,-0.34892822368991233,-0.3361628116479041,-0.3281506918723292,-0.32033690260719355,-0.3105713155766388,-0.30075466086021163,-0.291571751570692,-0.2831827339190916,-0.2755625979983309,-0.2686226586502891,-0.2623141832766923,-0.256522746165399,-0.25121722683948},
+{3.027453455279992,1.1235401057697114,0.22485980638506045,-0.1955569581292379,-0.34011035296261305,-0.3788150342113587,-0.3801651978634588,-0.3663804446385529,-0.3490628865726785,-0.33624437639119825,-0.32823753066178835,-0.3203621950388882,-0.31055897704186175,-0.3007230769764245,-0.2915295583799938,-0.28313428242428446,-0.2755103214118831,-0.2685679769980567,-0.2622580413214235,-0.256465764915219,-0.2511598139694045},
+{3.0222990375149776,1.1171540848172101,0.22047608494701496,-0.19804681575238295,-0.34143501801696363,-0.3795313433687037,-0.3805630487379764,-0.3665743255850039,-0.3491956116789325,-0.33632461279397713,-0.3283228897338532,-0.32038618282761083,-0.3105457190318048,-0.3006908049739384,-0.291486817804597,-0.28308537722421667,-0.2754576572779156,-0.26851295808530234,-0.2622016013194196,-0.25640851682843124,-0.2511021596680701},
+{3.0171318372856653,1.1107837158166776,0.21610938379723765,-0.20052247159376868,-0.34275027257995955,-0.38024159711643635,-0.380956893792078,-0.3667655409418314,-0.34932641388670316,-0.33640355198102045,-0.328406772052191,-0.3204088775000369,-0.31053155050120756,-0.30065785155369146,-0.29144353517440547,-0.2830360227607838,-0.27540460941690126,-0.2684576052893229,-0.2621448662923341,-0.2563510046434753,-0.2510442664443367},
+{3.0119519706120053,1.1044289991723082,0.21175966012530825,-0.2029839947942721,-0.3440561745123224,-0.3809458373478151,-0.38134676269213896,-0.3669541163241104,-0.3494553079553501,-0.33648122543944253,-0.3284891807568539,-0.3204302905114345,-0.31051648032125495,-0.3006242233539786,-0.2913997157709013,-0.2829862234364844,-0.2753511816164273,-0.26840192195835394,-0.2620878392359528,-0.2562932310755291,-0.2509861367858853},
+{3.0067595531056766,1.0980899348794029,0.20742687108604607,-0.2054314542202227,-0.34535278133264163,-0.3816441056643567,-0.3817326848805585,-0.367140077078344,-0.34958230852664773,-0.33655766493619926,-0.32857011916070583,-0.3204504332452617,-0.31050051728032346,-0.30058992695108555,-0.29135536482763047,-0.282935983614798,-0.2752973776315031,-0.26834591141183595,-0.2620305231204343,-0.2562351988167149,-0.2509277731594022},
+{3.00155469996969,1.0917665225286826,0.20311097380025103,-0.20786491846371627,-0.34664015021918815,-0.38233644337787454,-0.3821146895775285,-0.36732344828444674,-0.3497074301258497,-0.3366329024339151,-0.3286495907458039,-0.32046931701278975,-0.3104836700847205,-0.3005549688599203,-0.29131048753067923,-0.28288530762055564,-0.2752432011848746,-0.2682895769406754,-0.2619729208905378,-0.2561769105363082,-0.2508691780107667},
+{2.9963375259980256,1.0854587613105717,0.198811925355459,-0.21028445584293015,-0.34791833801169514,-0.38302289151250263,-0.3824928057827831,-0.3675042547577823,-0.34983068716275334,-0.3367069700059023,-0.3287275991597568,-0.3204869530527699,-0.31046594735942457,-0.3005193555346368,-0.2912650890191445,-0.2828341997403071,-0.275188655967323,-0.268232921807503,-0.2619150354658634,-0.25611836888094985,-0.2508103537652423},
+{2.9911081455752724,1.0791666500194488,0.1945296828067078,-0.2126901344024728,-0.34918740121316444,-0.3837034908067103,-0.3828670622773324,-0.36768252105122523,-0.34995209393274407,-0.33677989975118244,-0.3288041482120542,-0.32050335253112067,-0.31044735764882025,-0.3004830933692516,-0.2912191743856074,-0.2827826642226762,-0.2751337456379676,-0.2681759492469308,-0.2618568697410732,-0.2560595764748425,-0.2507513028276531},
+{2.9858666726763015,1.072890187057867,0.19026420317731635,-0.21508202191371906,-0.35044739599163666,-0.3843782817152965,-0.3832374876251919,-0.3678582714572593,-0.3500716646178295,-0.33685172371026817,-0.32887924187038436,-0.32051852654064283,-0.3104279094174285,-0.3004461886982533,-0.2911727486765883,-0.282730705278713,-0.275078473824563,-0.2681186624658085,-0.26179842658612507,-0.25600053591996164,-0.2506920275825763},
+{2.980613220865956,1.066629370440747,0.18601544345967203,-0.2174601858751761,-0.3516983781819726,-0.3850473044113768,-0.38360411017508733,-0.36803153001011635,-0.3501894132876662,-0.33692247378237944,-0.32895288425694347,-0.320532486100775,-0.3104076110506354,-0.30040864779720866,-0.29112581689301115,-0.28267832708223595,-0.2750228441237887,-0.2680610646434766,-0.2617397088465007,-0.25594124979625366,-0.25063253039451894},
+{2.975347903298763,1.0603841977995323,0.18178336061602934,-0.21982469351286346,-0.35294040328763815,-0.3857105987883601,-0.3839669580621509,-0.36820232048793194,-0.3503053539005717,-0.3369921816447041,-0.32902507964474625,-0.3205452421573557,-0.3103864708554143,-0.3003704768833555,-0.29107838399064784,-0.2826255337701621,-0.2749668601015364,-0.26800315893200766,-0.2616807193434162,-0.255881720661828,-0.25057281360809014},
+{2.9700708327186582,1.0541546663863228,0.17756791157932164,-0.22217561178068265,-0.3541735264824535,-0.38636820446189946,-0.3843260592096042,-0.3683706664149445,-0.35041950030452507,-0.33706087867425105,-0.3290958324539413,-0.3205568055824348,-0.3103644970610449,-0.30033168211619626,-0.29103045488057244,-0.28257232944284105,-0.2749105252931972,-0.2679449484564625,-0.2616214608740575,-0.25582195105316513,-0.2505128795481919},
+{2.964782121458736,1.0479407730779713,0.17336905325397936,-0.22451300736083113,-0.3553978026123713,-0.3870201607718479,-0.38468144133041904,-0.3685365910637108,-0.3505318662381615,-0.33712859587276434,-0.3291651472481372,-0.32056718717409277,-0.31034169781983106,-0.30029226959808125,-0.2909820344295972,-0.2825187181643724,-0.2748538432039375,-0.26788643631513187,-0.26156193621178847,-0.25576194348530085,-0.25045273052018063},
+{2.9594818814410266,1.0417425143801538,0.1691867425167575,-0.226836946664196,-0.35661328619722227,-0.3876665067841843,-0.38503313192898436,-0.36870011745735626,-0.3506424653317521,-0.3371953637950943,-0.3292330287307422,-0.32057639765629903,-0.3103180812078107,-0.3002522453747897,-0.29093312746071537,-0.2824647039629221,-0.2747968173089846,-0.26782762557977857,-0.2615021481063745,-0.255701700452028,-0.2503923688100555},
+{2.9541702241762664,1.0355598864314048,0.1650209362175774,-0.2291474958307733,-0.35782003143246033,-0.3883072812929332,-0.3853811583027342,-0.3688612683718371,-0.3507513111081719,-0.33726121248136204,-0.32929948174132406,-0.3205844476787805,-0.310293655225461,-0.30021161543609454,-0.29088373875352874,-0.28241029083103,-0.27473945105388764,-0.26776851929587636,-0.26144209928419043,-0.25564122442608,-0.25033179668461597},
+{2.9488472607637286,1.0293928850071339,0.16087159118037056,-0.23144472073010713,-0.3590180921909217,-0.38894252282207914,-0.3857255475437884,-0.36902006633823675,-0.35085841698386283,-0.3373261713932062,-0.32936451125199306,-0.3205913478169284,-0.31026842779840397,-0.30017038571633436,-0.2908338730446785,-0.2823554827259185,-0.2746817478548015,-0.26770912048285084,-0.2613817924484381,-0.255580517859323,-0.25027101639164406},
+{2.9435131018910283,1.023241505523593,0.15673866420393406,-0.23372868696171234,-0.3602075220245439,-0.38957226962745606,-0.3860663265405557,-0.3691765336450712,-0.3509637962697821,-0.337390269354299,-0.3294281223638077,-0.32059710857171636,-0.31024240677810033,-0.3001285620949721,-0.2907835350282676,-0.28230028356979003,-0.2746237110987415,-0.26764943213431325,-0.26132123027935367,-0.25551958318294427,-0.25021003016006677},
+{2.9381678578339776,1.0171057430418347,0.15262211206279686,-0.235999459855543,-0.36138837416611486,-0.3901965596986317,-0.3864035219793408,-0.3693306923406191,-0.35106746217234114,-0.33745353449531734,-0.32949032030321046,-0.3206017403696465,-0.3102155999425473,-0.30008615039714315,-0.2907327293562759,-0.282244697250129,-0.2745653441438537,-0.2675894572182901,-0.26126041543441375,-0.255458422807632,-0.25014884020012196},
+{2.9328116384564487,1.0109855922716282,0.1485218915080883,-0.23825710447243537,-0.3625607015309852,-0.39081543076077485,-0.3867371603459345,-0.3694825642352609,-0.3511694277943361,-0.3375159942034563,-0.3295511104184974,-0.32060525356271713,-0.310188014996966,-0.3000431563942108,-0.2906814606389801,-0.28218872762000186,-0.27450665031967786,-0.26752919867746344,-0.2611993505485454,-0.25539703912376865,-0.2500874487035319},
+{2.9274445532102473,1.0048810475753467,0.1444379592684194,-0.24050168560458063,-0.36372455671878584,-0.3914289202765123,-0.3870672679271854,-0.3696321709038385,-0.3512697061358662,-0.337577675076557,-0.32961049817630866,-0.32060765842840794,-0.31015965957448216,-0.29999958580430025,-0.2906297334453557,-0.28213237849834555,-0.2744476329273956,-0.26746865942938974,-0.26113803823432713,-0.25533543450159907,-0.25002585784365644},
+{2.922066711135021,0.9987921029718309,0.14037027205076721,-0.2427332677760127,-0.3648799920151557,-0.39203706544777833,-0.3873938708125693,-0.3697795336880197,-0.3513683100952487,-0.33763860288186587,-0.32966848915816827,-0.32060896516969095,-0.31013054123681194,-0.29995544429283955,-0.29057755230348886,-0.28207565367027226,-0.2743882952400966,-0.26740784236673354,-0.26107648108219095,-0.2552736112914219,-0.2499640697756639},
+{2.9166782208581727,0.9927187521402185,0.13631878654136823,-0.24495191524307766,-0.36602705939343017,-0.3926399032176369,-0.3877169948957325,-0.3699246736986734,-0.3514652524699099,-0.3376988025193982,-0.3297250890570458,-0.32060918391505266,-0.31010066747492915,-0.2999107374730863,-0.2905249217009706,-0.2820185568873583,-0.27432864050302036,-0.2673467503574871,-0.26101468166062425,-0.2552115718237618,-0.24990208663668836},
+{2.911279190594791,0.9866609884237442,0.13228345940661815,-0.24715769199495324,-0.36716581051635777,-0.3932374702721165,-0.38803666587603214,-0.3700676118182551,-0.351560545957285,-0.33775829798986945,-0.3297803036739631,-0.32060832471854717,-0.3100700457097405,-0.29986547090665217,-0.2904718460852958,-0.2819610918679447,-0.2742686719338111,-0.2672853862451969,-0.2609526425163613,-0.2551493184095458,-0.2498399105459853},
+{2.9058697281476076,0.9806188048335136,0.12826424729397584,-0.24935066175413373,-0.3682962967377841,-0.3938298030420001,-0.3883529092600664,-0.3702083687031913,-0.35165420315569695,-0.3378171123670928,-0.32983413891463537,-0.3206063975598595,-0.31003868329274886,-0.2998196501040247,-0.2904183298642559,-0.2819032622974347,-0.27420839272276554,-0.26722375284918126,-0.2608903661745892,-0.2550868533402807,-0.2497775436050974},
+{2.900449940906967,0.9745921940522478,0.12426110683287897,-0.25153088797695045,-0.3694185691043359,-0.3944169377046312,-0.38866575036318024,-0.37034696478627055,-0.35174623656522586,-0.33787526777474247,-0.32988660078614823,-0.32060341234438827,-0.3100065875067136,-0.2997732805250739,-0.29036437740632237,-0.2818450718285874,-0.2741478060330694,-0.2671618529647487,-0.26082785513913254,-0.2550241788882228,-0.24971498789800334},
+{2.895019935850807,0.9685811484379936,0.12027399463565427,-0.2536984338541023,-0.37053267835711917,-0.3949989101856965,-0.3889752143109722,-0.37048342027903514,-0.3518366585885748,-0.33793278536735755,-0.3299376953936808,-0.32059937890335344,-0.3099737655663015,-0.2997263675795646,-0.2903099930410334,-0.2817865240818233,-0.27408691500104415,-0.2670996893634162,-0.26076511189264784,-0.254961297306548,-0.24965224549127377},
+{2.8895798195446694,0.9625856600278146,0.11630286729844697,-0.2558533623111699,-0.37163867493337555,-0.3955757561609924,-0.38928132604078336,-0.37061775517416967,-0.351925481531926,-0.33798968531542806,-0.3299874289372626,-0.32059430699391317,-0.30994022461874293,-0.29967891662765755,-0.29025518105937126,-0.2817276226455225,-0.274025722736387,-0.26703726479311907,-0.2607021388968187,-0.2548982108295265,-0.2495893184342285},
+{2.8841296981417064,0.9566057205414417,0.11234768140214169,-0.257995736009173,-0.3727366089681655,-0.3961475110581882,-0.3895841103031636,-0.3707499892478851,-0.3520127176057798,-0.33804598679439823,-0.3300358077085681,-0.320588206299302,-0.30990597174447093,-0.29963093298040056,-0.29019994571413543,-0.281668371076323,-0.27396423232239825,-0.2669745819784256,-0.260638938592535,-0.25483492167268335,-0.2495262087590796},
+{2.8786696773827343,0.9506413213849076,0.10840839351329858,-0.2601256173450997,-0.3738265302960224,-0.3967142100585697,-0.3898835916633526,-0.370880142062302,-0.35209837892579765,-0.3381017079774223,-0.3300828380877646,-0.3205810864289926,-0.3098710139577652,-0.2995824219002279,-0.2901442912203177,-0.28160877289943087,-0.2739024468162265,-0.26691164362074615,-0.2605755134000858,-0.25477143203297165,-0.24946291848109042},
+{2.8731998625962754,0.9446924536541446,0.1044849601850881,-0.26224306845246753,-0.3749084884526085,-0.3972758880987773,-0.3901797945027219,-0.37100823296782753,-0.3521824775136291,-0.33815686603167033,-0.3301285265403865,-0.32057295691886517,-0.3098353582073854,-0.29953338860143924,-0.29008822175546645,-0.28154883160891764,-0.2738403692490923,-0.26684845239854393,-0.2605118657193426,-0.254707744088931,-0.24939944959871996},
+{2.867720358698628,0.9387591081385551,0.1005773379582302,-0.2643481512018878,-0.37598253267637216,-0.3978325798725284,-0.3904727430202204,-0.37113428110551316,-0.3522650252977255,-0.33821147711799615,-0.3301728796142583,-0.32056382723139476,-0.3097990113771998,-0.2994838382506828,-0.29003174146004823,-0.2814885506680278,-0.27377800262651986,-0.266785010967537,-0.26044799792994044,-0.2546438600008532,-0.24933580409376832},
+{2.862231270193948,0.9328412753245567,0.09668548336194001,-0.26644092720162355,-0.3770487119101774,-0.398384319832328,-0.3907624612338021,-0.37125830540941596,-0.3523460341141585,-0.3382655563937719,-0.3302159039364585,-0.3205537067558606,-0.3097619802868092,-0.2994337759674296,-0.289974854437809,-0.2814279335094817,-0.2737153499285625,-0.2667213219609023,-0.26038391239146064,-0.25457978191094455,-0.24927198393152802},
+{2.8567327011743573,0.9269389453990978,0.09280935291487308,-0.26852145779817915,-0.37810707480295946,-0.39893114219117204,-0.3910489729818418,-0.37138032460894144,-0.3524255157074164,-0.33831911801868264,-0.3302576062103253,-0.32054260480856284,-0.3097242716921677,-0.299383206824442,-0.289917564756126,-0.2813669835357788,-0.27365241411002633,-0.2666573879894786,-0.2603196114436051,-0.25451551194347877,-0.2492079910609174},
+{2.8512247553200463,0.9210521082531432,0.08894890312607862,-0.2705898040768688,-0.3791576697113367,-0.39947308092423,-0.39133230192454815,-0.37150035723117275,-0.3525034817312013,-0.33837217516328366,-0.330297993212502,-0.32053053063305936,-0.30968589228619814,-0.2993321358482418,-0.28985987644636196,-0.2813057041195065,-0.27358919810069643,-0.2665932116419689,-0.2602550974063799,-0.25445105220496517,-0.24914382741463664},
+{2.845707535899421,0.9151807534851392,0.08510409049595069,-0.27264602686240974,-0.380200544701241,-0.4000101697705279,-0.3916124715453532,-0.3716184216031899,-0.3525799437492162,-0.3384247400201102,-0.3303370717900249,-0.3205174934004155,-0.30964684869939696,-0.29928056801956904,-0.28980179350421315,-0.28124409860363864,-0.2735257048055528,-0.2665287954851356,-0.26019037258026817,-0.25438640478429814,-0.2490794949093022},
+{2.840181145769234,0.90932487040444,0.08127487151718772,-0.2746901867195243,-0.38123574754954065,-0.40054244223460944,-0.39188950515230037,-0.3717345358543693,-0.35265491323594067,-0.3384768238171444,-0.33037484885745966,-0.3205035022094634,-0.3096071475004428,-0.299228508273836,-0.2897433198900495,-0.2811821703018414,-0.27346193710499134,-0.2664641420639987,-0.26012543924640175,-0.25432157175291414,-0.24901499544558808},
+{2.834645687374755,0.903484448034717,0.07746120267574677,-0.2767223439535263,-0.3822633257456388,-0.4010699315881923,-0.39216342587941455,-0.37184871791866747,-0.3527284015774024,-0.3385284368334433,-0.33041133139406664,-0.32048856608707404,-0.30956679519679065,-0.2991759615015756,-0.28968445952925637,-0.28111992249877116,-0.2733978978550382,-0.266399253902026,-0.2600602996667383,-0.25425655516494505,-0.24895033090836366},
+{2.8291012627499437,0.8976594751173341,0.0736630404518074,-0.27874255861094804,-0.38328332649309077,-0.40159267087181216,-0.3924342566880589,-0.3719609855368901,-0.35280042007193746,-0.33857958841673097,-0.33044652644102035,-0.3204726939884436,-0.3095257982352674,-0.29912293254888844,-0.28962521631257004,-0.281057358450375,-0.2733335898875612,-0.2663341335013303,-0.25999495608422435,-0.25419135705736856,-0.24888550316682945},
+{2.823547973517639,0.8918499401146982,0.06988034132073306,-0.28075089048013846,-0.38429579671119296,-0.40211069289644946,-0.39270202036829777,-0.37207135625894106,-0.3528709799309483,-0.3386302870027706,-0.3304804410986687,-0.3204558947973903,-0.30948416300266257,-0.29906942621788546,-0.2895655940964111,-0.28099448138419386,-0.27326901601048686,-0.2662687833428584,-0.25992941072297104,-0.2541259794501628,-0.24882051407466088},
+{2.8179859208897624,0.8860558312135832,0.06611306175403689,-0.2827473990918846,-0.38530078303656956,-0.4026240302451522,-0.39296673954022443,-0.3721798474460496,-0.35294009227964773,-0.3386805401363335,-0.3305130825238274,-0.32043817732665614,-0.3094418958263047,-0.29901544726711615,-0.28950559670321474,-0.2809312944996467,-0.2732041790080049,-0.26620320588658075,-0.2598636657884176,-0.25406042434645043,-0.24875536547013394},
+{2.8124152056675458,0.8802771363284279,0.0623611582203446,-0.284732143720048,-0.3862983318247714,-0.4031327152746474,-0.39322843665529683,-0.3722864762729843,-0.35300776815780077,-0.33873035449358513,-0.33054445792712883,-0.32041955031822156,-0.30939900297464934,-0.29896100041200746,-0.28944522792175564,-0.28086780096833563,-0.2731390816407828,-0.266137403571677,-0.25979772346749624,-0.2539946937326496,-0.24869005917626524},
+{2.8068359282417514,0.8745138431046009,0.05862458718636396,-0.2867051833821767,-0.3872884891518356,-0.4036367801169355,-0.3934871339976536,-0.372391259730239,-0.35307401852045317,-0.3387797359057245,-0.3305745745704008,-0.32040002244362475,-0.3093554906578422,-0.2989060903252856,-0.28938449150746576,-0.2808040039343285,-0.27307372664616314,-0.26607137881672044,-0.2597315859288009,-0.25392878957862025,-0.24862459700094125},
+{2.8012481885929317,0.8687659389216486,0.05490330511785148,-0.28866657684016284,-0.38827130081587446,-0.40413625668088027,-0.39374285368541717,-0.3724942146262017,-0.3531388542386583,-0.338828689383717,-0.33060343976409545,-0.32037960230429213,-0.3093113650282914,-0.29885072163739423,-0.28932339118275924,-0.2807399065144471,-0.2730081167383709,-0.2660051340198632,-0.25966525532273854,-0.2538627138378043,-0.24855898073704644},
+{2.795652086291683,0.8630334108965094,0.051197268480579886,-0.2906163826008666,-0.3892468123386248,-0.4046311766537824,-0.3939956176719996,-0.37259535758930395,-0.3532022861001943,-0.3388772191439592,-0.330631060864762,-0.3203582984318738,-0.30926663218123207,-0.29879489893691996,-0.2892619306373438,-0.28067551179855504,-0.27294225460872157,-0.2659386715590188,-0.2595987337817056,-0.2537964684473782,-0.24849321216260226},
+{2.79004772049892,0.8573162458867026,0.04750643374130882,-0.29255465891676513,-0.39021506896701097,-0.4051215715029433,-0.3942454477473795,-0.3726947050701441,-0.3532643248102728,-0.33892532863473734,-0.33065744527254964,-0.32033611928858113,-0.3092212981552801,-0.29873862677099694,-0.2892001135285349,-0.2806108228498342,-0.27287614292580975,-0.26587199379203996,-0.25953202342023324,-0.2537300553283831,-0.24842729304088473},
+{2.784435189966169,0.8516144304934955,0.043830757368752055,-0.29448146378661666,-0.391176115674701,-0.4056074724772282,-0.39449236553938644,-0.37279227334359233,-0.35332498099224446,-0.3389730205633352,-0.33068260042877273,-0.32031307326753833,-0.30917536893298686,-0.29868190964571883,-0.28913794348156235,-0.28054584270506877,-0.27280978433571906,-0.2658051030568979,-0.2594651263351486,-0.2536634763858747,-0.24836122512055922},
+{2.77881459303586,0.8459279510650379,0.04017019583454689,-0.29639685495609536,-0.39212999716363833,-0.40608891060859625,-0.3947363925149597,-0.37288807851086714,-0.35338426518829047,-0.3390202969236632,-0.33070653381349563,-0.3202891686931263,-0.3091288504413845,-0.2986247520265407,-0.2890754240898762,-0.2804805743749094,-0.27274318146220844,-0.2657380016718585,-0.25939804460573745,-0.25359673350905965,-0.24829501013580413},
+{2.7731860276416502,0.8402567936994743,0.036524705614222094,-0.2983008899184756,-0.3930767578655966,-0.40656591671364983,-0.3949775499814038,-0.3729821365015982,-0.35344218786011633,-0.33906715902429174,-0.3307292529431786,-0.32026441382134313,-0.30908174855253207,-0.29856715833867814,-0.2890125589154461,-0.2804150208441517,-0.2726763369069132,-0.2656706919356561,-0.25933078029388695,-0.25352982857143136,-0.24822864980643264},
+{2.76754959130875,0.8346009442480322,0.0328942431881689,-0.30019362591527887,-0.39401644194369667,-0.40703852139514063,-0.39521585908764095,-0.373074463075863,-0.3534987593896319,-0.33911360751676156,-0.3307507653683571,-0.320238816840164,-0.3090340690840488,-0.29850913296750514,-0.28894935148906875,-0.2803491850720043,-0.27260925324953983,-0.2656031761276712,-0.25926333544424934,-0.253462763430911,-0.24816214583802346},
+{2.7619053811542553,0.8289603883180812,0.029278765042606555,-0.3020751199369463,-0.3949490932939322,-0.40750675504349104,-0.395451340825438,-0.3731650738261928,-0.3535539900796242,-0.3391596424240769,-0.33077107867136024,-0.32021238586989803,-0.3089858177996497,-0.2984506802589378,-0.2888858053106522,-0.2802830699923409,-0.272541933048046,-0.2655354565080926,-0.25919571208438935,-0.2533955399299789,-0.24809549992203744},
+{2.756253493887509,0.8233351112761661,0.0256782276705472,-0.3039454287235244,-0.3958747555466955,-0.40797064783829534,-0.39568401603063463,-0.37325398417956934,-0.35360789015443006,-0.33920526316927224,-0.33079020046407853,-0.320185128963559,-0.3089370004096707,-0.29839180451982783,-0.2888219238495142,-0.2802166785139724,-0.2724743788388414,-0.26546753531810025,-0.25912791222492815,-0.25332815989580826,-0.248028713735939},
+{2.7505940258104613,0.8177250982510191,0.022092587572765124,-0.30580460876532567,-0.39679347206827886,-0.40843022974980703,-0.39591390538436294,-0.3733412093993913,-0.353660469760598,-0.3392504686039681,-0.3308081383857733,-0.32015705410723294,-0.3088876225715916,-0.29833251001834366,-0.28875771054467253,-0.2801500135208907,-0.2724065931369737,-0.26539941478002194,-0.25905993785970716,-0.2532606251404045,-0.24796178894332177},
+{2.744927072818044,0.8121303341365417,0.018521801258760025,-0.30765271630362767,-0.3977052859623875,-0.40888553054042237,-0.3961410294142396,-0.37342676458741386,-0.3537117389675379,-0.33929525703682506,-0.3308249001009147,-0.32012816922044424,-0.30883768989055393,-0.298272800984341,-0.28869316880512697,-0.2800830778725276,-0.27233857843630427,-0.26533109709750424,-0.2589917909659137,-0.25319293746072447,-0.24789472719401986},
+{2.739252730398571,0.8065508035947665,0.014965825247717716,-0.30948980733134607,-0.39861024007163015,-0.40933657976614807,-0.3963654084955774,-0.3735106646856775,-0.35376170776817917,-0.33933962626182196,-0.33084049329708426,-0.3200984821565382,-0.30878720791987335,-0.29821268160974745,-0.28862830201014633,-0.2800158744040012,-0.2722703372097066,-0.2652625844556776,-0.25892347350424566,-0.25312509863882093,-0.2478275301242311},
+{2.733571093634131,0.800986491058789,0.01142461606947473,-0.3113159375937282,-0.39950837697901154,-0.40978340677806385,-0.39658706285256307,-0.37359292447840586,-0.353810386079607,-0.3393835735862849,-0.33085492568289854,-0.3200680007030498,-0.3087361821615496,-0.29815215604892675,-0.28856311350955016,-0.27994840592635456,-0.27220187190923884,-0.26519387902132263,-0.2588549874190499,-0.25305711044196116,-0.24776019935663662},
+{2.7278822572010006,0.7954373807356782,0.007898130265475818,-0.3131311625890526,-0.4003997390094193,-0.4102260407237715,-0.39680601255943215,-0.37367355859387835,-0.35385778374369936,-0.33942709585859776,-0.3308682049859821,-0.32003673258208354,-0.3086846180667638,-0.2980912284190446,-0.2884976066239793,-0.27988067522680127,-0.2721331849663303,-0.2651249829430279,-0.2587863346384571,-0.25298897462275705,-0.24769273650050752},
+{2.7221863153700716,0.7899034566093613,0.004386324389731078,-0.31493553756931164,-0.40128436823109404,-0.4106645105488335,-0.39702227754164326,-0.37375258150628965,-0.35390391052776077,-0.3394701894955454,-0.3308803389509861,-0.320004685450692,-0.30863252103638195,-0.29802990280043296,-0.28843178464517627,-0.2798126850689568,-0.27206427879195694,-0.2650558983513501,-0.2587175170745373,-0.2529206929192958,-0.2476251431518292},
+{2.7164833620072883,0.7843847024434836,0.0008891550097720954,-0.31672911754093314,-0.40216230645711337,-0.4110988449982076,-0.39723587757702256,-0.37383000753758233,-0.3539487761251403,-0.3395128505092261,-0.3308913353376381,-0.31997186690125834,-0.30857989642144534,-0.2979681832369444,-0.28836565083625165,-0.27974443819307165,-0.27199515577681765,-0.2649866273589736,-0.25864853662342613,-0.25285226705525693,-0.24755742089340557},
+{2.710773490574095,0.7788811017842453,-0.002593421292394614,-0.3185119572654637,-0.403033595246841,-0.4115290726176575,-0.3974468322969246,-0.3739058508592558,-0.3539923901558567,-0.33955507453349354,-0.33090120191884076,-0.31993828446187783,-0.3085267495236592,-0.297906073736311,-0.2882992084319611,-0.27967593731626345,-0.2719258182915165,-0.2649171720608708,-0.258579395165472,-0.25278369874004586,-0.24748957129497934},
+{2.705056794127893,0.7733926379632134,-0.006061447919338561,-0.3202841112602832,-0.4038982759073921,-0.4119552217551711,-0.39765516118736755,-0.37398012549415993,-0.35403476216720575,-0.33959685684988433,-0.33090994647881194,-0.3199039455967484,-0.3084730855958788,-0.29784357827049424,-0.2882324606389631,-0.279607185132737,-0.27185626868673346,-0.26484753453445475,-0.2585100945653753,-0.25271498966891265,-0.24742159591334148},
+{2.6993333653225116,0.7679192941001071,-0.009514968257257068,-0.3220456337993234,-0.40475638949508286,-0.4123773205623576,-0.3978608835901572,-0.37405284531825683,-0.35407590163436564,-0.3396381924129764,-0.3309175768112521,-0.3198688577065465,-0.3084189098425843,-0.29778070077602714,-0.2881654106360834,-0.279538184314006,-0.271786509293395,-0.2647777168397324,-0.25844063667231365,-0.2526461415230686,-0.2473534962924401},
+{2.6936032964086896,0.7624610531055649,-0.012954025675030546,-0.32379657891376185,-0.405607976816871,-0.4127953969958367,-0.39806401870401653,-0.37412402406237244,-0.3541158179610008,-0.33967907587518514,-0.33092410071757256,-0.3198330281288251,-0.30836422742035785,-0.2977174451543632,-0.28809806157458,-0.2794689375091115,-0.27171654242285015,-0.2647077210194611,-0.25837102332009115,-0.25257715596981695,-0.2472852739634906},
+{2.687866679234573,0.7570178976838844,-0.016378663523279595,-0.32553700039276234,-0.4064530784317996,-0.4132094788186227,-0.3982645855856836,-0.3741936753139209,-0.35415452047985135,-0.33971950161092435,-0.33092952600514575,-0.31979646413839535,-0.30830904343835225,-0.2976538152722106,-0.2880304165783932,-0.27939944734483757,-0.27164637036703443,-0.2646375490992958,-0.2583012563272585,-0.2525080346626644,-0.24721693044508145},
+{2.6821236052462023,0.7515898103357347,-0.0197889251334283,-0.32726695178417436,-0.40729173465242163,-0.4136195936014909,-0.39846260315103127,-0.3742618125186137,-0.3541920184533283,-0.3397594637401396,-0.33093386048560625,-0.3197591729477232,-0.3082533629587586,-0.29758981496187276,-0.287962478744407,-0.27932971642592075,-0.27157599539864513,-0.2645672030879425,-0.2582313374972543,-0.2524387792414417,-0.24714846724328585},
+{2.6763741654880433,0.7461767733608545,-0.023184853816767072,-0.32898648639525824,-0.4081239855462227,-0.41402576872433966,-0.39865809017614623,-0.37432844898213835,-0.3542283210740901,-0.33979895615117695,-0.33093711197318376,-0.31972116170731874,-0.30819719099726195,-0.29752544802157643,-0.2878942511427013,-0.2792597473352555,-0.2715054197713016,-0.2644966849773053,-0.25816126861853306,-0.25236939133242386,-0.24707988585176766},
+{2.6706184506034956,0.7407787688607187,-0.02656649286352161,-0.3306956572934209,-0.4089498709370437,-0.41442803137754575,-0.3988510652984203,-0.37439359787182636,-0.35426343746562317,-0.33983797252297837,-0.3309392882830817,-0.31968243750612924,-0.30814053252350154,-0.2974607182158029,-0.287825736816794,-0.27918954263410223,-0.2714346457197151,-0.26442599674263356,-0.2580910514646935,-0.2522998725484409,-0.2470111877518834},
+{2.664856550835437,0.7353957787411868,-0.02993388554192454,-0.33239451730692365,-0.409769430406485,-0.4148264085633025,-0.3990415470176275,-0.3744572722182993,-0.35429737668281386,-0.3398765063465849,-0.3309403972298893,-0.3196430073719358,-0.30808339246152067,-0.2973956292756137,-0.2877569387838979,-0.279119104862285,-0.2713636754598485,-0.26435514034266644,-0.2580206877946112,-0.25223022448899834,-0.24694237441278993},
+{2.65908855602676,0.7300277847151248,-0.03328707509729067,-0.33408311902563553,-0.4105827032953184,-0.41522092709695807,-0.399229553696982,-0.37451948491709375,-0.3543301477125134,-0.33991455094594386,-0.33094044662603617,-0.3196028782717467,-0.3080257756902101,-0.29733018489896584,-0.28768786003515623,-0.27904843653839073,-0.27129251118908115,-0.26428411771977667,-0.25795017935255743,-0.25216044874038646,-0.24687344729154137},
+{2.653314555620932,0.7246747683050063,-0.03662610475109628,-0.3357615148017427,-0.41138972870487517,-0.4156116136083287,-0.39941510356420884,-0.3745802487302646,-0.3543617594740991,-0.3399520994980094,-0.330939444280284,-0.31956205711219987,-0.3079676870437582,-0.2972643887510408,-0.28761850353588997,-0.2789775401599657,-0.27122115508637057,-0.26421293080011765,-0.25787952786833607,-0.2520905468757963,-0.2468044078332027},
+{2.64753463866255,0.7193367108454931,-0.03995101770006159,-0.3374297567504895,-0.41219054549843787,-0.41599849454302246,-0.3995982147125859,-0.37463957628797584,-0.3543922208200306,-0.33998914505212846,-0.33093739799625105,-0.3195205507399558,-0.30790913131208286,-0.29719824446454923,-0.2875488722258385,-0.2789064182037061,-0.2711496093124081,-0.2641415814937611,-0.25780873505740176,-0.2520205204554291,-0.24673525747094238},
+{2.6417488937979234,0.7140135934859847,-0.04326185711524033,-0.3390878967509269,-0.41298519230263236,-0.41638159616374354,-0.3997789051019893,-0.3746974800900665,-0.3544215405364022,-0.34002568054871546,-0.3309343155709862,-0.31947836594210227,-0.30785011324126643,-0.29713175564004846,-0.2874789690193895,-0.27883507312564937,-0.27107787600978017,-0.2640700716948374,-0.25773780262098356,-0.2519503710266091,-0.24666599762613411},
+{2.635957409275646,0.7087053971931584,-0.046558666141107964,-0.34073598644662595,-0.4137737075087904,-0.4167609445515787,-0.399957192559925,-0.37475397250759934,-0.35444972734348196,-0.3400616988372117,-0.3309302047935656,-0.31943550944655186,-0.3077906375339853,-0.29706492584625,-0.2874087968058213,-0.27876350736135647,-0.27100595730312405,-0.2639984032816759,-0.2576667322462124,-0.251880100123894,-0.24659662970846183},
+{2.6301602729471987,0.7034121027534734,-0.04984148789466168,-0.34237407724644797,-0.41455612927433744,-0.41713656560730067,-0.400133094782549,-0.3748090657843938,-0.3544767898962582,-0.3400971926933388,-0.33092507344373334,-0.31939198792244455,-0.3077307088499357,-0.29699775862032074,-0.2873383584495283,-0.2786917233261007,-0.27093385529928093,-0.26392657811694237,-0.2575955256062332,-0.251809709269179,-0.24652715511600923},
+{2.624357572267543,0.6981336907756639,-0.05311036546451772,-0.3440022203252625,-0.4153324955241408,-0.4175084850526245,-0.40030662933569294,-0.37486277203853874,-0.35450273678497046,-0.3401321548356381,-0.3309189292905857,-0.3193478079805552,-0.30767033180625325,-0.29693025746818913,-0.2872676567902552,-0.27861972341504815,-0.27086157208745365,-0.2638545980477729,-0.25752418436033536,-0.25173919997180955,-0.24645757523536654},
+{2.6185493942957363,0.692870141693204,-0.05636534191001634,-0.34562046662469853,-0.4161028439518727,-0.4178767284314943,-0.4004778136558664,-0.3749151032638866,-0.35452757653564054,-0.34016657794131333,-0.3309117800912739,-0.31930297617369224,-0.30760951097793215,-0.2968624258648418,-0.2871966946433244,-0.27854751000343414,-0.27078910973935333,-0.2637824649059108,-0.25745271015406623,-0.2516685737286868,-0.24638789144172346},
+{2.6127358256955437,0.6876214357667515,-0.0596064602603347,-0.34722886685390025,-0.4168672120213652,-0.4182413211113325,-0.40064666505125573,-0.37496607133153065,-0.35455131761059683,-0.3402004546613757,-0.3309036335897567,-0.31925749899710365,-0.3075482508982322,-0.2967942672546175,-0.2871254747998539,-0.27847508544674365,-0.2707164703093568,-0.26371018050784306,-0.25738110461934843,-0.25159783202436975,-0.24631810509896251},
+{2.6069169527360763,0.682387553086573,-0.06283376351359792,-0.34882747149025595,-0.4176256369679442,-0.418602288284295,-0.4008132007027244,-0.37501568799126755,-0.35457396840899674,-0.3402337776351097,-0.330894497515586,-0.31921138288888784,-0.30748655605909125,-0.2967257850515035,-0.28705400002699044,-0.2784024520808802,-0.2706436558346535,-0.26363774665492545,-0.25730936937460275,-0.2515269763311867,-0.24624821755976248},
+{2.6010928612924182,0.677168473574942,-0.06604729463600026,-0.35041633078017,-0.418378155799777,-0.41895965496851234,-0.4009774376647812,-0.3750639648730364,-0.3545955372673352,-0.3402665395038511,-0.3308843795827167,-0.319164634230391,-0.307424430911527,-0.29665698263941875,-0.28698227306811713,-0.2783296122223434,-0.27057066833538856,-0.2635651651335194,-0.25723750602485196,-0.2514560081093302,-0.24617823016567922},
+{2.5952636368462834,0.6719641769885243,-0.06924709656092937,-0.351995494739794,-0.41912480529919627,-0.4193134460093188,-0.40113939286657313,-0.3751109134883489,-0.35461603245996093,-0.34029873292411755,-0.3308732874883675,-0.31911725934662627,-0.3073618798660384,-0.29658786337250487,-0.28691029664307727,-0.2782565681683952,-0.2704975098148186,-0.2634924377151189,-0.25716551616184746,-0.2513849288069666,-0.24610814424725086},
+{2.5894293644866595,0.6667746429207307,-0.07243321218809495,-0.35356501315578664,-0.41986562202402494,-0.41966368608048343,-0.40129908311284596,-0.37515654523169784,-0.3546354621995818,-0.3403303505800728,-0.3308612289119025,-0.3190692645066726,-0.3072989072930016,-0.29651843057540783,-0.28683807344838785,-0.27818332219722924,-0.2704241822594527,-0.2634195661564832,-0.2570934013641799,-0.2513137398603381,-0.2460379611240895},
+{2.58359012891047,0.661599850804059,-0.07560568438266536,-0.3551249355860744,-0.4206006423088958,-0.4200103996854213,-0.401456525084904,-0.3752008713819469,-0.35465383463776096,-0.3403613851953552,-0.33084821151374894,-0.3190206559240861,-0.3072355175230588,-0.29644868754355685,-0.2867656061574424,-0.27810987656813446,-0.27035068763919684,-0.2633465521997597,-0.2570211631973834,-0.25124244269385676,-0.2459676821049628},
+{2.5777460144232593,0.6564397799124092,-0.07876455597440593,-0.3566753113605889,-0.4213299022665592,-0.4203536111584002,-0.40161173534156547,-0.3752439031037101,-0.3546711578654179,-0.3403918295442816,-0.3308342429343527,-0.318971439757312,-0.3071717148475096,-0.2963786375434438,-0.2866928974207212,-0.27803623352165946,-0.2702770279074969,-0.26327339757261164,-0.2569488032140619,-0.2511710387202126,-0.24589730848789912},
+{2.5718971049398522,0.6512944093633796,-0.08190986975682434,-0.35821618958204837,-0.42205343778919435,-0.42069334466574476,-0.40176473032010157,-0.37528565144871234,-0.35468743991331475,-0.3404216764624374,-0.33081933079315856,-0.31892162211008956,-0.3071075035186915,-0.29630828381289265,-0.2866199498659859,-0.2779623952797758,-0.2702032050014809,-0.2632001039883419,-0.2568763229539842,-0.2510995293404651,-0.24582684156026136},
+{2.566043483985049,0.6461637181205395,-0.08504166848632282,-0.35974761912669184,-0.4227712845496969,-0.42102962420701584,-0.4019155263371793,-0.3753261273571291,-0.35470268875254746,-0.3404509188566698,-0.3308034826876285,-0.318871209031865,-0.3070428877503618,-0.2962376295613369,-0.28654676609848073,-0.2778883640460328,-0.27012922084209945,-0.26312667314602023,-0.2568037239441997,-0.251027915944147,-0.24575628259885066},
+{2.5601852346943295,0.6410476849956899,-0.08815999488135412,-0.3612696486450485,-0.4234834780029783,-0.4213624736162047,-0.4020641395897949,-0.3753653416589261,-0.35471691229502794,-0.34047954971450634,-0.33078670619229344,-0.31882020651820336,-0.3069778717180759,-0.2961666779700876,-0.28647334870112595,-0.27781414200572524,-0.27005507733426665,-0.2630531067306066,-0.25673100769915574,-0.25095619990936213,-0.24568563286998862},
+{2.554322439814538,0.6359462886510917,-0.09126489162158144,-0.36278232656270254,-0.42419005338724786,-0.4216919165628963,-0.4022105861561859,-0.37540330507515957,-0.35473011839395807,-0.3405075621129866,-0.33076900885782107,-0.3187686205111906,-0.30691245955955043,-0.2960954321925903,-0.2863997002346919,-0.2777397313260333,-0.2699807763669927,-0.26297940641306244,-0.2566581757207853,-0.2508843826028714,-0.24561489362960084},
+{2.548455181704604,0.630859507601682,-0.09435640134705026,-0.3642857010810383,-0.4248910457252881,-0.42201797655343964,-0.4023548819967551,-0.37544002821928163,-0.3547423148443071,-0.3405349492269696,-0.33075039821013613,-0.3187164568998538,-0.30684665537504335,-0.29602389535469903,-0.2863258232379963,-0.27766513415619126,-0.2699063198135278,-0.26290557385048496,-0.25658522949863183,-0.25081246538020235,-0.24554406612331311},
+{2.542583542336259,0.6257873202172691,-0.09743456665735681,-0.3657798201780243,-0.42558648982573466,-0.42234067693210414,-0.40249704295496713,-0.3754755215984217,-0.35475350938327804,-0.34056170433688643,-0.33073088174955273,-0.31866372152056477,-0.30678046322771046,-0.29595207055492956,-0.28625172022806883,-0.2775903526276353,-0.26983170953149127,-0.2628316106862173,-0.2565121705099427,-0.2507404495857334,-0.24547315158652808},
+{2.5367076032947584,0.6207297047247047,-0.10049943011083273,-0.36726473160895823,-0.42627642028433327,-0.42266004088222364,-0.4026370847582622,-0.3755097956146555,-0.35476370969077614,-0.3405878208359858,-0.33071046694994555,-0.31861042015745394,-0.30671388714396874,-0.2958799608647199,-0.28617739370033424,-0.2775153888541516,-0.2697569473630095,-0.26275751854996976,-0.25643900021977906,-0.2506683365527916,-0.24540215124451603},
+{2.530827445779618,0.6156866392100394,-0.10355103422372477,-0.3687404829072324,-0.4269608714852017,-0.4229760914273417,-0.40277502301894064,-0.37554286056625413,-0.35477292338986643,-0.3406132922370721,-0.33068916125794645,-0.3185565585428164,-0.306646931113853,-0.29580756932868457,-0.2861028461287864,-0.2774402449320295,-0.26968203513485084,-0.2626832990579377,-0.25636572008112096,-0.25059612760374583,-0.24533106631249885},
+{2.5249431506053432,0.6106581016206544,-0.10658942146938999,-0.3702071213851108,-0.42763987760208333,-0.42328885143234135,-0.40291087323504726,-0.37557472664892444,-0.35478115804722776,-0.3406381121787605,-0.33066697209216944,-0.3185021423575238,-0.30657959909136884,-0.29573489896486216,-0.28602807996614293,-0.2773649229402067,-0.2696069746585499,-0.26260895381291316,-0.2562923315349605,-0.2505238240500949,-0.24525989799573178},
+{2.519054798202191,0.605644069767381,-0.10961463427749224,-0.37166469413447606,-0.42831347259958985,-0.4235983436045694,-0.40304465079125984,-0.3756054039570345,-0.354788421173613,-0.3406622744312615,-0.3306439068424664,-0.3184471772314353,-0.306511894994845,-0.29566195276497576,-0.2859530976440292,-0.2772894249404168,-0.2695317677305476,-0.26253448440440624,-0.25621883601041495,-0.250451427192564,-0.24518864748958907},
+{2.5131624686169105,0.6006445213265914,-0.11262671503320318,-0.37311324802761703,-0.42898169023444854,-0.42390459049495544,-0.4031763709597433,-0.37563490248482,-0.354794720224288,-0.34068577290171115,-0.3306199728692065,-0.3183916687437985,-0.3064438227072732,-0.29558873369466254,-0.28587790157312715,-0.2772137529773327,-0.2694564161323124,-0.2624598924087508,-0.2561452349248179,-0.2503789383211907,-0.24511731597963968},
+{2.5072662415135114,0.595659433842278,-0.11562570607641512,-0.37455282971797643,-0.42964456405672646,-0.4242076144991129,-0.4033060489010313,-0.3756632321275804,-0.3548000625994815,-0.3407086016390713,-0.33059517750258816,-0.3183356224236673,-0.3063753860766588,-0.2955152446937369,-0.285802494143353,-0.2771379090787105,-0.26938092163047445,-0.26238517938922395,-0.2560715296838218,-0.2503063587154155,-0.24504590464173912},
+{2.501366196174022,0.5906887847281097,-0.11861164970095253,-0.37598348564092093,-0.4303021274110592,-0.4245074378584451,-0.40343369966487674,-0.3756904026828594,-0.35480445564482127,-0.3407307548386005,-0.3305695280419676,-0.3182790437503023,-0.30630658891635293,-0.2954414886764166,-0.28572687772401656,-0.277061895255532,-0.26930528597695014,-0.26231034689615623,-0.25599772168150403,-0.25023368964417053,-0.2449744146421015},
+{2.495462411499274,0.5857325512694688,-0.12158458815379923,-0.37740526201452473,-0.4309544134378789,-0.4248040826612395,-0.4035593381911,-0.37571642385161463,-0.3548079066517761,-0.3407522268459249,-0.33054303175522637,-0.31822193815357824,-0.3062374350053913,-0.29536746853157225,-0.28565105466398016,-0.2769857135021466,-0.2692295109090684,-0.26223539646703886,-0.2559238123004478,-0.2501609323659682,-0.24490284713738353},
+{2.489554966009673,0.5807907106254729,-0.12454456363432045,-0.37881820484031054,-0.43160145507461495,-0.4250975708437439,-0.4036829793104378,-0.37574130523936594,-0.3548104228580797,-0.3407730121607167,-0.3305156958781532,-0.3181643110143928,-0.3061679280888273,-0.2952931871229584,-0.28557502729183154,-0.2769093657964055,-0.2691535981496968,-0.2621603296266369,-0.2558498029118583,-0.2500880881289879,-0.24483120327476407},
+{2.4836439378459887,0.5758632398309707,-0.1274916182935028,-0.380222359904049,-0.43224328505691784,-0.42538792419125615,-0.40380463774537323,-0.3757650563573393,-0.3548120114481623,-0.34079310544000535,-0.33048752761385625,-0.31810616766506383,-0.30609807187805593,-0.29521864728944885,-0.28549879791604077,-0.27683285409980396,-0.26907754940736334,-0.26208514788709636,-0.25577569487564195,-0.25001515817116043,-0.24475948419201754},
+{2.4777294047701477,0.5709501157985296,-0.13042579423319178,-0.3816177727765036,-0.43287993591984714,-0.4256751643391774,-0.4039243281109734,-0.37578768662359213,-0.3548126795535783,-0.34081250150112485,-0.3304585341322002,-0.3180475133897438,-0.30602787005114207,-0.2951438518452683,-0.285422368825132,-0.2767561803576156,-0.26900136637637967,-0.26200985274804817,-0.2557014895405126,-0.24994214372025392,-0.24468769101760032},
+{2.471811444166035,0.5660513153203967,-0.1333471335053393,-0.3830044888142049,-0.4335114399990731,-0.4259593127740876,-0.40404206491571093,-0.3758092053641235,-0.3548124342534231,-0.3408311953243137,-0.33042872256926636,-0.31798835342481213,-0.30595732625314587,-0.29506880358022364,-0.2853457422878509,-0.27667934649902903,-0.26892505073696416,-0.2619344456967251,-0.25562718824408276,-0.24986904599396279,-0.24461582487072192},
+{2.465890133040294,0.5611668150704425,-0.13625567811126071,-0.3843825531602323,-0.4341378294320651,-0.42624039083479204,-0.4041578625622755,-0.37582962181397733,-0.3548112825747474,-0.3408491820549914,-0.33039810002683273,-0.3179286929592813,-0.3058864440964322,-0.2949935052599293,-0.285268920553326,-0.2766023544372821,-0.2688486041553605,-0.261858928208055,-0.25555279231295064,-0.24979586619998284,-0.2445438868614226},
+{2.459965548023139,0.5562965916060906,-0.1391514700008908,-0.3857520107449631,-0.43475913615927103,-0.42651841971337096,-0.4042717353483961,-0.37584894511832634,-0.3548092314929772,-0.34086645700571316,-0.33036667357188393,-0.3178685371351958,-0.3058152271609948,-0.2949179596260314,-0.28519190585124804,-0.2765252060697911,-0.2687720282839605,-0.26178330174477366,-0.25547830306280583,-0.2497226055361047,-0.24447187809065019},
+{2.4540377653691743,0.5514406213702253,-0.14203455107205282,-0.3871129062868661,-0.43537539192530034,-0.4267934204562192,-0.4043836974676264,-0.37586718433354394,-0.3548062879323139,-0.34088301565781864,-0.3303344502361368,-0.31780789104802776,-0.3057436789947613,-0.2948421693964303,-0.2851147003920308,-0.2764479032782876,-0.2686953247614137,-0.2617075677575227,-0.2554037217985054,-0.24964926519028655,-0.24439979965033343},
+{2.448106860958215,0.5465988806930823,-0.14490496316973187,-0.3884652842932522,-0.43598662828008716,-0.4270654139650696,-0.40449376301015916,-0.3758843484282687,-0.3548024587661474,-0.34089885366279393,-0.33030143701559433,-0.3177467597470796,-0.3056718031139043,-0.2947661372654996,-0.2850373063669903,-0.27637044792894383,-0.26861849521275505,-0.26163172768495446,-0.2553290498141727,-0.24957584634074065,-0.2443276526234563},
+{2.442172910296115,0.5417713457941242,-0.147762748085356,-0.38980918906104844,-0.4365928765800591,-0.42733442099803093,-0.4046019459636135,-0.37590044628444996,-0.3547977508174565,-0.3409139668433452,-0.3302676408701192,-0.3176851482358757,-0.3055996030031522,-0.2946898659043082,-0.2849597259485204,-0.2762928418725065,-0.2685415412495158,-0.2615557829538386,-0.255254288393293,-0.2495023501560172,-0.24425543808413702},
+{2.436235988515605,0.5369579927838941,-0.15060794755607987,-0.3911446646775799,-0.4371941679892921,-0.42760046217059516,-0.40470826021381234,-0.3759154866983825,-0.35479217085920134,-0.34092835119420306,-0.33023306872302133,-0.31762306147255354,-0.3055270821160791,-0.29461335796082944,-0.2848819612902562,-0.27621508694441926,-0.2684644644698382,-0.26147973497915455,-0.25517943880878907,-0.24942877779507655,-0.24418315709769195},
+{2.430296170377124,0.5321587976658552,-0.15344060326408124,-0.39247175502131826,-0.4377905334806614,-0.42786355795664777,-0.40481271954557,-0.3759294783817294,-0.35478572561472826,-0.3409420028826712,-0.3301977274606807,-0.3175605043702637,-0.3054542438754193,-0.2945366160601617,-0.2848040145272618,-0.27613718496495676,-0.2683872664585926,-0.26140358516419576,-0.25510450232312104,-0.2493551304073749,-0.24411081072072038},
+{2.4243535302696735,0.5273737363382104,-0.15626075683585977,-0.39379050376267893,-0.438382003836995,-0.4281237286894759,-0.404915337643453,-0.37594242996253263,-0.3547784217581508,-0.34095491824891694,-0.3301616239321739,-0.3174974817975531,-0.3053810916733467,-0.2944596428047292,-0.28472588777619656,-0.276059137739345,-0.26830994878748515,-0.2613273349006664,-0.2550294801883666,-0.24928140913293953,-0.24403840000115853},
+{2.4184081422116566,0.5226027845957066,-0.15906844984154278,-0.39510095436476583,-0.4389686096521997,-0.4283809945627538,-0.4050161280925565,-0.3759543499862087,-0.3547702659147417,-0.34096709380602985,-0.33012476494893256,-0.3174339985787554,-0.305307628871782,-0.29438244077450115,-0.2846475831354943,-0.27598094705788284,-0.26823251301517426,-0.2612509855687808,-0.254954373646308,-0.24920761510244724,-0.2439659259783657},
+{2.4124600798517455,0.5178459181314238,-0.1618637237942022,-0.3964031500841517,-0.43955038133240754,-0.4286353756315423,-0.40511510437926285,-0.3759652469165398,-0.35476126466132246,-0.34097852623985103,-0.33008715728441884,-0.3173700594943806,-0.30523385880267384,-0.2943050125271939,-0.2845691026855467,-0.275902614696079,-0.2681549606873811,-0.26117453853736217,-0.25487918392852665,-0.2491337494373036,-0.24389338968319127},
+{2.406509416469732,0.5131031125385388,-0.16464662014916986,-0.39769713397165385,-0.4401273490970926,-0.4288868918132606,-0.4052122798919887,-0.3759751291366422,-0.3547514245266363,-0.34098921240857555,-0.33004880767381534,-0.3173056692814991,-0.30515978476829186,-0.2942273605984769,-0.2844904484888705,-0.2758241424147616,-0.268077293337001,-0.26109799516393695,-0.2548039122564778,-0.2490598132497221,-0.2438207921380438},
+{2.4005562249773984,0.5083743433120842,-0.16741718030337022,-0.398982948873086,-0.44069954298019764,-0.4291355628886664,-0.4053076679219419,-0.3759840049499308,-0.3547407519917296,-0.3409991493421537,-0.330009722813734,-0.31724083263412217,-0.30508541004150647,-0.2941494875021725,-0.28441162259029,-0.2757455319602029,-0.2679995124842078,-0.2610213567948283,-0.2547285598415798,-0.24898580764278977,-0.2437481343569563},
+{2.394600577919385,0.503659585850681,-0.1701754455946482,-0.40026063743005147,-0.44126699283125065,-0.42938140850282114,-0.4054012816638476,-0.37599188258106514,-0.35472925349032275,-0.34100833424148985,-0.3299699093619469,-0.3171755542035811,-0.3050107378660658,-0.29407139573045793,-0.2843326270171057,-0.275666785064241,-0.2679216196365625,-0.2609446247652504,-0.25465312788529465,-0.24891173371055147,-0.24367541734565587},
+{2.388642547474066,0.49895881545825893,-0.17292145730111586,-0.4015302420806914,-0.4418297283164685,-0.42962444816604534,-0.40549313421670236,-0.37599877017689465,-0.3547169354091874,-0.3410167644774606,-0.3299293739371318,-0.31710983859891395,-0.304935771456883,-0.29399308775406563,-0.2842534637792785,-0.2755879034444001,-0.26784361628912257,-0.26086780039940427,-0.2545776175792123,-0.24883759253807883,-0.24360264210163649},
+{2.3826822054544308,0.4942720073457584,-0.17565525664049567,-0.40279180506045564,-0.4423877789198635,-0.4298647012548789,-0.4055832385844955,-0.3760046758073773,-0.3547038040885083,-0.34102443758975415,-0.32988812311863824,-0.3170436903872347,-0.3048605140003067,-0.2939145660224762,-0.28417413486960436,-0.2755088888040071,-0.26776550392455173,-0.26079088501057146,-0.25450203010513733,-0.24876338520155275,-0.2435298096142246},
+{2.3767196233089605,0.48959913663281884,-0.17837688476947672,-0.40404536840288635,-0.4429411739443392,-0.43010218701302344,-0.4056716076769273,-0.37600960746650114,-0.3546898658222486,-0.34103135128554124,-0.32984616344626133,-0.31697711409411083,-0.3047849686543904,-0.29383583296411603,-0.2840946422638788,-0.2754297428323085,-0.26768728401321557,-0.2607138799012037,-0.25442636663516016,-0.24868911276832492,-0.24345692086463955},
+{2.370754872122533,0.4849401783494495,-0.18108638278307637,-0.4052909739403614,-0.44348994251278095,-0.43033692455228456,-0.40575825431014256,-0.37601357307318517,-0.35467512685851754,-0.34103750343799893,-0.32980350142004355,-0.3169101142039363,-0.30470913854916926,-0.2937568909865482,-0.28401498792108204,-0.2753504672045909,-0.26760895801329454,-0.26063678636301313,-0.2543506283317486,-0.2486147762970004,-0.24338397682606805},
+{2.364788022617298,0.48029510743768067,-0.1837837917140062,-0.40652866330488774,-0.44403411356914474,-0.43056893285350295,-0.405843191207423,-0.376016580472169,-0.3546595933999172,-0.3410428920846869,-0.329760143500082,-0.3168426951602989,-0.3046330267869182,-0.2936777424766615,-0.2839351737835363,-0.2752710635822895,-0.2675305273708809,-0.2605596056770598,-0.2542748163478176,-0.24854037683750155,-0.24331097846372257},
+{2.358819145153591,0.47566389875320675,-0.1864691525320499,-0.4077584779288501,-0.444573715879532,-0.4307982307674775,-0.40592643099990894,-0.37601863743490194,-0.3546432716039061,-0.3410475154258016,-0.3297160961063601,-0.3167748613663519,-0.3045566364424209,-0.2935983898008616,-0.2838552017770872,-0.2751915336131068,-0.26745199352008353,-0.2604823391138488,-0.25419893182681386,-0.24846591543114366,-0.24323792673491235},
+{2.352848309730819,0.4710465270670053,-0.1891425061434411,-0.40898045904577307,-0.4451087780332631,-0.4310248370158897,-0.4060079862272974,-0.3760197516604045,-0.35462616758314924,-0.3410513718223044,-0.3296713656185837,-0.3167066171851754,-0.30447997056323234,-0.2935188353052572,-0.28377507381127043,-0.27511187893112843,-0.2673733578831305,-0.2604049879334143,-0.25412297590279814,-0.2483913931107068,-0.24316482258910269},
+{2.346875585988383,0.46644296706694455,-0.19180389339025833,-0.4101946476911113,-0.44563932844394794,-0.43124877019221663,-0.40608786933853275,-0.37601993077613277,-0.3546082874058656,-0.34105445979393967,-0.3296259583760449,-0.316637966940142,-0.3044030321699308,-0.2934390813158427,-0.2836947917794707,-0.27503210115692855,-0.26729462187046854,-0.26032755338540403,-0.2540469497005102,-0.2483168109005034,-0.2430916669679825},
+{2.3409010432065744,0.46185319335937736,-0.19445335504981298,-0.4114010847029804,-0.44616539535054234,-0.4314700487626314,-0.40616609269250364,-0.37601918233882664,-0.35458963709617447,-0.3410567780171603,-0.3295798806774855,-0.31656891491527905,-0.30432582425638216,-0.29335913013868337,-0.28361435755909525,-0.27495220189768876,-0.26721578688086,-0.26025003670917235,-0.2539708543354616,-0.24824216981644617,-0.2430184608055228},
+{2.3349247503075015,0.45727718047071275,-0.1970909318340583,-0.4125998107229575,-0.4466870068184122,-0.4316886910669143,-0.4062426685587176,-0.3760175138353446,-0.3545702226344428,-0.34105832532296326,-0.3295331387809845,-0.3164994653556207,-0.3042483497899846,-0.29327898406009456,-0.2835337730117293,-0.27487218274730313,-0.2671368543014858,-0.260172439133861,-0.25389469091399786,-0.2481674708661204,-0.24294520502804332},
+{2.328946775855997,0.4527149028489797,-0.1997166643889956,-0.41379086619681577,-0.44720419074037376,-0.43190471531932856,-0.4063176091179889,-0.37601493268349456,-0.35455004995764516,-0.3410591006946476,-0.32948573890385746,-0.3164296224675706,-0.3041706117119233,-0.2931986453468207,-0.28345303998329974,-0.2747920452864886,-0.2670578255080393,-0.260094761878484,-0.2538184605333808,-0.24809271504884772,-0.24287190055427277},
+{2.3229671880605474,0.44816633486537305,-0.20233059329408903,-0.41497429137529684,-0.4477169748377445,-0.4321181396095248,-0.40639092646311104,-0.3760114462328469,-0.35452912495978317,-0.3410591032655061,-0.3294376872225657,-0.3163593904192535,-0.30409261293742146,-0.2931181162462161,-0.28337216030423784,-0.2747117910828983,-0.2669787018648251,-0.2600170061520216,-0.25374216428186785,-0.24801790335576135,-0.24279854829541136},
+{2.316986054774216,0.4436314508157812,-0.20493275906169411,-0.4161501263148836,-0.4482253866613768,-0.43232898190341373,-0.4064626325995163,-0.37600706176554327,-0.35450745349247004,-0.34105833231645233,-0.3293889898726383,-0.31628877334086236,-0.3040143563559792,-0.2930373989864155,-0.2832911357896248,-0.27463142169122423,-0.26689948472485525,-0.259939173153489,-0.2536658032387742,-0.24794303676986268,-0.24272514915518825},
+{2.311003443495572,0.4391102249223021,-0.20752320213648062,-0.4173184108785391,-0.44872945359269206,-0.4325372600440377,-0.4065327394459547,-0.3760017864970906,-0.3544850413659012,-0.3410567872736057,-0.32933965294861167,-0.3162177753250128,-0.3039358448316204,-0.29295649577651456,-0.28320996823935823,-0.2745509386533057,-0.26682017542994424,-0.25986126407203425,-0.25358937847455976,-0.24786811626609645,-0.2426517040299272},
+{2.3050194213696256,0.4346026313347445,-0.21010196289487473,-0.41847918473649504,-0.4492292028447111,-0.4327429917524476,-0.40660125883512854,-0.375995627577147,-0.3544618943505442,-0.3410544677058238,-0.3292896825039696,-0.31614640042708175,-0.30385708120313104,-0.292875408806731,-0.28312865943829224,-0.274470343498236,-0.2667407753108005,-0.25978328008700624,-0.25351289105089014,-0.24779314281141052,-0.242578213808601},
+{2.2990340551887636,0.4301086441321148,-0.21266908164450082,-0.4196324873669884,-0.44972466146306966,-0.4329461946285503,-0.4066682025143653,-0.3759885920902975,-0.3544380181800579,-0.3410513733222127,-0.3292390845511095,-0.3160746526655577,-0.3037780682842991,-0.2927941402485866,-0.2830472111563941,-0.2743896377424662,-0.26666128568712144,-0.2597052223680452,-0.25343634202071513,-0.2477181173648225,-0.24250467937289347},
+{2.2930474113936885,0.4256282373240844,-0.21522459862363258,-0.4207783580570267,-0.450215856327038,-0.43314688615198077,-0.40673358214625643,-0.37598068705682025,-0.3544134185560477,-0.34104750396959627,-0.3291878650613124,-0.3160025360223788,-0.30369880886414957,-0.29271269225506974,-0.2829656251488941,-0.27430882288991093,-0.26658170786769136,-0.2596270920751664,-0.25335973242834403,-0.24764304087749076,-0.24243110159726017},
+{2.287059556074365,0.42116138485245025,-0.21776855400064907,-0.4219168359031581,-0.45070281415052643,-0.4333450836829404,-0.40679740930929736,-0.3759719194334409,-0.354388101155345,-0.34104285962997244,-0.3291360299647172,-0.3159300544432667,-0.30361930570717344,-0.2926310669608033,-0.2828839031564191,-0.2742279004320517,-0.2665020431504634,-0.25954889035882844,-0.253283063309508,-0.247567914292767,-0.24235748134898294},
+{2.281070554970961,0.4167080605925739,-0.22030098787350041,-0.42304795981220544,-0.4511855614830915,-0.4335408044630418,-0.4068596954985317,-0.37596229611407883,-0.3543620716405373,-0.341037440417952,-0.32908358515031927,-0.31585721183807075,-0.3035395615535675,-0.2925492664822117,-0.28280204690514765,-0.27414687184803754,-0.26642229282265656,-0.2594706183600239,-0.25320633569143497,-0.2474927385462682,-0.24228381948823266},
+{2.275080473474808,0.4122682383548123,-0.2228219402691792,-0.42417176850204985,-0.4516641247109391,-0.4337340656161516,-0.4069204521261681,-0.37595182393058274,-0.3543353356743595,-0.34103124657818246,-0.329030536465967,-0.31578401208109314,-0.3034595791194501,-0.2924672929176788,-0.2827200581069414,-0.27406573860478933,-0.26634245816084556,-0.25939227721034813,-0.2531295505929214,-0.24741751456593583,-0.24221011686811678},
+{2.2690893766293425,0.4078418918859297,-0.22533145114319544,-0.4252883005023649,-0.45213853005790877,-0.4339248841492106,-0.4069796905222208,-0.3759405096534568,-0.35430789893848574,-0.34102427848277306,-0.32897688971837574,-0.31571045901142036,-0.3033793610970962,-0.2923851483477173,-0.2826379384594834,-0.2739845021570936,-0.2662625404310443,-0.25931386803208556,-0.253052709024391,-0.24734224327209695,-0.2421363743347466},
+{2.2630973291310696,0.4034289948704976,-0.22782956037906502,-0.4263975941553747,-0.45260880358646804,-0.4341132769530728,-0.40703742193513176,-0.37592835999258256,-0.3542797671570267,-0.3410165366287238,-0.3289226506731529,-0.3156365564332597,-0.30329891015516175,-0.29230283483512604,-0.28255568964642575,-0.27390316394771635,-0.2661825408888069,-0.2592353919382818,-0.2529758119879826,-0.24726692557753507,-0.2420625927272899},
+{2.2571043953305203,0.3990295209322809,-0.23031630778779857,-0.4274996876166196,-0.4530749711986877,-0.4342992608033127,-0.4070936575323726,-0.37591538159791693,-0.3542509461248138,-0.34100802163533583,-0.3288678250548148,-0.3155623081162475,-0.30321822893889366,-0.29222035442514643,-0.2824733133375046,-0.2738217254074873,-0.26610246077929867,-0.2591568500328213,-0.2528988604775952,-0.24719156238753737,-0.24198877287802556},
+{2.251110639233213,0.39464344363561016,-0.2327917331074011,-0.42859461885568667,-0.45353705863722266,-0.43448285236104445,-0.40714840840107697,-0.3759015810601983,-0.35422144174036446,-0.3409987342416589,-0.3288124185468447,-0.3154877177957902,-0.30313732007036515,-0.29213770914562365,-0.28239081118868625,-0.2737401879554068,-0.2660223013373977,-0.2590782434105027,-0.2528218554789744,-0.24711615459996544,-0.24191491561240092},
+{2.2451161245006204,0.39027073648673993,-0.23525587600237474,-0.4296824256569873,-0.4539950914862842,-0.43466406817373093,-0.4072016855486237,-0.3758869649116324,-0.35419126004309215,-0.34098867530392407,-0.3287564367917235,-0.3154127891733681,-0.3030561861486755,-0.29205490100715714,-0.28230818484228776,-0.27365855299874065,-0.26594206378777074,-0.25899957315711536,-0.25274479796976707,-0.24704070310531218,-0.2418410217490824},
+{2.2391209144511337,0.38591137293519195,-0.23770877606323504,-0.4307631456204869,-0.45444909517260057,-0.4348429246759784,-0.40725349990325965,-0.3758715396265758,-0.35416040725421644,-0.34097784579300566,-0.3286998853909967,-0.3153375259168637,-0.3029748297501791,-0.2919719320032621,-0.28222543592710797,-0.2735768219331165,-0.26586174934496337,-0.2589208403495091,-0.2526676889195906,-0.24696520878675943,-0.24176709210001726},
+{2.2331250720610365,0.381565326375089,-0.24015047280602245,-0.43183681616245334,-0.454899094966378,-0.4350194381903379,-0.4073038623146886,-0.37585531162220176,-0.3541288898205489,-0.3409662467918885,-0.32864276990533514,-0.3152619316608709,-0.30289325342868834,-0.29188880411051465,-0.28214256605855254,-0.2734949961426213,-0.2657813592134848,-0.2588420460556766,-0.2525905292901006,-0.2468896725202448,-0.24169312747048105},
+{2.2271286599654774,0.3772325701464707,-0.2425810056718346,-0.4329034745162268,-0.45534511598225635,-0.43519362492809655,-0.4073527835546603,-0.37583828725916657,-0.354096714460266,-0.340953879493161,-0.32858509585460577,-0.315186010007008,-0.3028114597156877,-0.29180551928870824,-0.2820595768387542,-0.2734130769998954,-0.26570089458788954,-0.25876319133481657,-0.252513320035055,-0.2468140951745103,-0.2416191286591336},
+{2.2211317404594437,0.37291307753659864,-0.2450004140263547,-0.4339631577329333,-0.45578718318025496,-0.4353655009900566,-0.4074002743175696,-0.37582047284226183,-0.3540638882096506,-0.3409407451965204,-0.32852686871795334,-0.3151097645242258,-0.3027294511205409,-0.2917220794810001,-0.2819764698566971,-0.27333106586622624,-0.26562035665285993,-0.25868427723741505,-0.2524360621003767,-0.24673847761116574,-0.2415450964580744},
+{2.215134375498741,0.36860682178124865,-0.24740873715938697,-0.4350159026822642,-0.45622532136672345,-0.43553508236732114,-0.40744634522101997,-0.37580187462105724,-0.3540304184697341,-0.3409268453063035,-0.3284680939338858,-0.3150331987491152,-0.302647230130696,-0.2916384866140589,-0.2818932466883298,-0.273248964091642,-0.265539746583291,-0.25860530480530647,-0.2523587564242164,-0.24666282068474735,-0.2414710316528887},
+{2.209136626700973,0.3643137760659878,-0.2498060142844086,-0.43606174605319675,-0.456659555195269,-0.43570238494205404,-0.40749100680641975,-0.37578249879053843,-0.3539963130518031,-0.34091218132904294,-0.3284087769003682,-0.314956316186211,-0.3025647992118888,-0.2915547425982136,-0.28180990889668833,-0.27316677301500303,-0.26545906554436843,-0.2585262750717545,-0.25228140393701953,-0.2465871252427703,-0.2413969350227067},
+{2.2031385553465257,0.36003391352744163,-0.2521922845381149,-0.43710072435473846,-0.4570899091676984,-0.43586742448826593,-0.407534269539554,-0.3757623514917382,-0.3539615802207394,-0.3408967548710433,-0.3283489229749243,-0.3148791203082923,-0.30248216080834706,-0.2914708493275975,-0.2817264580320108,-0.27308449396409906,-0.26537831469165274,-0.25844718906152037,-0.2522040055615883,-0.24651139212578976,-0.24132280734025205},
+{2.197140222379553,0.35576720725454586,-0.25456758697998205,-0.4381328739166894,-0.4575164076349406,-0.436030216672564,-0.4075761438111424,-0.3757414388123472,-0.35392622873524004,-0.34088056763598246,-0.32828853747474335,-0.3148016145566826,-0.302399317342986,-0.29138680868029454,-0.2816428956318482,-0.27300212825573417,-0.2652974951711578,-0.25836804779092704,-0.2521265622131384,-0.24643562216745726,-0.24124864937189322},
+{2.1911416884089596,0.3515136302897867,-0.2569319605918299,-0.4391582308903482,-0.45793907479796814,-0.4361907770549084,-0.4076166399374206,-0.3757197667873351,-0.35389026788408084,-0.34086362142253873,-0.32822762567679353,-0.3147238023415456,-0.30231627121761234,-0.2913026225184756,-0.281559223221176,-0.27291967719581983,-0.26521660811943026,-0.25828885226793796,-0.2520490747993689,-0.2463598161945703,-0.24117446187769412},
+{2.185143013709397,0.34727315563042593,-0.25928544427739386,-0.4401768312492904,-0.45835793470872,-0.4363491210893735,-0.40765576816068083,-0.375697341399544,-0.3538537075176721,-0.34084591812204806,-0.3281661928179391,-0.3146456870421733,-0.30223302481310926,-0.2912182926885451,-0.28147544231250643,-0.27283714207946386,-0.26513565466362743,-0.2582096034922144,-0.2519715442205145,-0.24628397502713512,-0.24110024561146437},
+{2.179144258222249,0.3430457562297195,-0.2616280768619023,-0.44118871079007643,-0.45877301127100606,-0.4365052641248762,-0.4076935386498434,-0.37567416858028957,-0.353816558074321,-0.3408274597161849,-0.3281042440950679,-0.3145672720072861,-0.3021495804896389,-0.2911338210212755,-0.28139155440599395,-0.27275452419105956,-0.26505463592159517,-0.2581303024551915,-0.2518939713694122,-0.24620809947841465,-0.24102600132081403},
+{2.1731454815566336,0.3388314049981191,-0.26395989709166084,-0.44219390513299306,-0.459184328241418,-0.4366592214059344,-0.4077299615010072,-0.3756502542099474,-0.3537788306007177,-0.3408082482746746,-0.328041784665224,-0.31448856055531366,-0.30206594058683256,-0.29104920933195344,-0.2813075609895455,-0.2726718248043753,-0.2649735530019472,-0.25805095014014523,-0.25181635713156225,-0.24613219035498968,-0.24095172974719525},
+{2.167146742990386,0.3346300748044594,-0.26628094363364524,-0.44319244972280725,-0.4595919092302271,-0.4368110080733913,-0.4077650467379843,-0.3756256041185274,-0.35374053676631634,-0.3407882859530242,-0.32797881964573794,-0.3144095559746818,-0.30198210742397474,-0.29096445942050647,-0.2812234635389219,-0.27258904518263904,-0.26489240700413735,-0.25797154752225226,-0.25173870238517887,-0.24605624845680538,-0.24087743162595512},
+{2.161148101471071,0.3304417384771391,-0.2685912550750968,-0.4441843798294699,-0.4599957777022814,-0.4369606391651475,-0.40779880431286336,-0.37560022408625027,-0.3537016888714249,-0.34076757499029736,-0.3279153541143758,-0.31433026152409965,-0.3018980833002003,-0.2908795730716473,-0.2811392635178459,-0.27250618657862813,-0.2648111990185422,-0.25789209556866804,-0.2516610080012605,-0.24598027457723004,-0.240803107686388},
+{2.1551496156169705,0.3262663688052847,-0.27089086992312494,-0.4451697305488773,-0.46039595697790126,-0.43710812961688816,-0.4078312441065198,-0.37557411984410816,-0.35366229984891473,-0.3407461177068978,-0.32785139310947653,-0.3142506804328307,-0.3018138704946669,-0.2907945520550025,-0.28105496237809835,-0.2724232502347524,-0.26472993012652707,-0.25781259523857736,-0.25158327484363696,-0.24590426950310396,-0.2407287586517769},
+{2.1491513437180876,0.32210393853990626,-0.27317982660431933,-0.4461485368035825,-0.4607924702337553,-0.4372534942627903,-0.4078623759291756,-0.375547297074417,-0.35362238325961254,-0.3407239165024014,-0.32778694163010935,-0.3141708159009809,-0.3017294712667508,-0.2907093981252443,-0.2809705615596213,-0.2723402373831395,-0.26464860140052715,-0.2577330474832695,-0.25150550376903485,-0.24582823401479315,-0.24065438523944876},
+{2.1431533437371573,0.31795442039503835,-0.2754581634643678,-0.4471208333435272,-0.46118534050375076,-0.43739674783625804,-0.4078922095209211,-0.37551976141137494,-0.3535819532815311,-0.34070097385340337,-0.3277220046362308,-0.31409067109976696,-0.3016448878562239,-0.2906241130222295,-0.28088606249062464,-0.2722571492457225,-0.26456721390412163,-0.25765345324620686,-0.251427695627135,-0.24575216888624468,-0.2405799881608164},
+{2.13715567331064,0.3138177870488696,-0.2777259187676747,-0.4480866547467831,-0.4615745906799022,-0.43753790497061246,-0.40792075455223475,-0.37549151844159273,-0.3535410246931522,-0.3406772923113965,-0.327656587048838,-0.31401024917179365,-0.3015601224834322,-0.29053869847112274,-0.2808014665876725,-0.27217398703432166,-0.26448576869210244,-0.2575738134630727,-0.25134985126062703,-0.24567607488503307,-0.2405055681214297},
+{2.1311583897497317,0.30969401114486195,-0.2799831306969938,-0.449046035420254,-0.46196024351320153,-0.4376769801998017,-0.40794802062451424,-0.3754625737046325,-0.35349961285112846,-0.3406528745006816,-0.3275906937501377,-0.3139295532313199,-0.30147517734948026,-0.2904531561825283,-0.2807167752557886,-0.2720907519507287,-0.26440426681055024,-0.2574941290618522,-0.25127197150526265,-0.24559995277241423,-0.2404311258210201},
+{2.1251615500413767,0.30558306529285734,-0.28222983735306145,-0.44999900960042966,-0.4623423216144933,-0.4378139879591055,-0.4079740172705819,-0.3754329326935322,-0.35345773366275346,-0.34062772311630085,-0.32752432958371414,-0.31384858636452667,-0.3013900546363963,-0.29036748785261557,-0.2806319898885462,-0.2720074451867846,-0.26432270929690355,-0.2574144009628796,-0.25119405718991733,-0.24552380330337098,-0.24035666195354538},
+{2.1191652108492653,0.30148492207017286,-0.2844660767542379,-0.4509456113540857,-0.4627208474553193,-0.4379489425858126,-0.4079987539552063,-0.3754026008553255,-0.35341540355366324,-0.34060184092200474,-0.3274574993546945,-0.31376735162978575,-0.3013047565073174,-0.2902816951632476,-0.2805471118681629,-0.27192406792446516,-0.2642410971800293,-0.25733463007891266,-0.2511161091366389,-0.24544762722667074,-0.24028217720723968},
+{2.1131694285148575,0.29739955402268514,-0.2866918868361593,-0.45188587457901125,-0.4630958433687883,-0.43808185831992985,-0.4080222400756191,-0.37537158359155537,-0.35337263943124425,-0.34057523074824764,-0.3273902078299391,-0.313685852057921,-0.3012192851066599,-0.29019577978210753,-0.2804621425656038,-0.27184062133596704,-0.2641594314803013,-0.25725481731518884,-0.25103812816071336,-0.24537142528491182,-0.24020767226465967},
+{2.107174259058387,0.2933269336659021,-0.2889073054513841,-0.4528198330047428,-0.46346733155041675,-0.43821274930485243,-0.40804448496200063,-0.3753398862587769,-0.3533294586442278,-0.34054789549020276,-0.3273224597382053,-0.3136040906524635,-0.30113364256028685,-0.29010974336282,-0.2803770833406576,-0.2717571065837748,-0.2640777132096574,-0.25717496356948333,-0.2509601150707051,-0.24529519821456847,-0.24013314780271952},
+{2.1011797581798732,0.28926703348602617,-0.29111237036906207,-0.45374752019325687,-0.4638353340589764,-0.43834162958804374,-0.40806549787800356,-0.3753075141690564,-0.35328587893902924,-0.3405198381058159,-0.32725425977033684,-0.31352207038991786,-0.3010478309756823,-0.2900235875450738,-0.2802919355420395,-0.2716735248207558,-0.26399594337167864,-0.2570950697321765,-0.25088207066852286,-0.24521894674604616,-0.2400586044927534},
+{2.0951859812601437,0.28521982594100265,-0.2933071192745903,-0.45466896953971503,-0.4641998728173402,-0.4384685131217157,-0.4080852880212248,-0.37527447259046337,-0.35324191841331276,-0.34049106161387965,-0.3271856125794536,-0.31343979422000995,-0.3009618524421119,-0.2899373139547444,-0.28020670050747504,-0.2715898771902256,-0.26391412296165623,-0.25701513668630865,-0.2508039957494665,-0.24514267160372671,-0.23998404300054288},
+{2.089192983361839,0.2811852834615586,-0.29549158976929546,-0.4555842142731633,-0.4645609696133106,-0.43859341376348665,-0.4081038645237225,-0.3752407667475543,-0.3531975954673451,-0.3404615690921381,-0.32711652278113446,-0.3133572650659429,-0.30087570903079824,-0.28985092420401704,-0.28012137956379335,-0.2715061648260393,-0.2638322529666547,-0.25693516530764304,-0.250725891102284,-0.24506637350601457,-0.23990946398637397},
+{2.0832008192304388,0.27716337845223465,-0.2976658193701049,-0.45649328745723894,-0.46491864610045297,-0.4387163452770553,-0.408121236452497,-0.37520640182185133,-0.35315292875361676,-0.3404313636754196,-0.32704699495361444,-0.3132744858246489,-0.3007894027950774,-0.2897644198914998,-0.2800359740270109,-0.27142238885265396,-0.26375033436558426,-0.2568551564647202,-0.25064775750921725,-0.2449900531653909,-0.23983486810507212},
+{2.0772095432952757,0.27315408329239915,-0.29982984550923475,-0.4573962219909097,-0.46527292379892066,-0.4388373213328586,-0.40813741280996785,-0.37517138295231744,-0.35310793712523714,-0.3404004485537967,-0.32697703363798175,-0.3131914593670345,-0.30070293577056434,-0.28967780260234743,-0.27995048520242166,-0.27133855038522137,-0.26366836812926747,-0.2567751110189228,-0.25056959574606547,-0.24491371128845096,-0.23976025600604853},
+{2.0712192096705526,0.26915737033725523,-0.3019837055338793,-0.4582930506091481,-0.46562382409627634,-0.4389563555087199,-0.408152402534475,-0.3751357152358148,-0.35306263958358214,-0.34036882697076976,-0.32690664333837616,-0.31310818853822836,-0.3006163099753178,-0.28959107390837113,-0.2798649143846812,-0.2712546505296565,-0.26358635522050233,-0.2566950298245272,-0.25049140658222596,-0.2448373485759596,-0.2396856283333447},
+{2.0652298721563636,0.2651732119188389,-0.3041274367059042,-0.4591838058836745,-0.46597136824831104,-0.43907346129050734,-0.4081662145007308,-0.3750994037275684,-0.35301705522561905,-0.3403365022214812,-0.3268358285221916,-0.3130246761578227,-0.30052952740998967,-0.28950423536815384,-0.27977926285789073,-0.2711706903827086,-0.26350429659413044,-0.2566149137287628,-0.2504131907807484,-0.24476096572289208,-0.23961098572567294},
+{2.0592415842397207,0.26120158034700347,-0.30626107620155396,-0.460068520223647,-0.4663155773798512,-0.4391886520727687,-0.40817885752031746,-0.37506245344161837,-0.35297120319135256,-0.3403034776509555,-0.3267645936202853,-0.31294092502011506,-0.30044259005799395,-0.28941728852716575,-0.27969353189568436,-0.2710866710320469,-0.2634221931971006,-0.2565347635718726,-0.2503349490983902,-0.24468456341848144,-0.23953632881646064},
+{2.0532543990955636,0.25724244791039436,-0.30838466111115515,-0.4609472258763556,-0.46665647248556547,-0.43930194115938065,-0.4081903403421483,-0.3750248693512669,-0.35292510261175564,-0.34026975665236714,-0.32669294302718666,-0.31285693789434693,-0.30035549988565413,-0.2893302349178701,-0.2796077227613099,-0.2710025935563267,-0.2633400459685333,-0.2564545801871634,-0.25025668228566283,-0.2446081423462654,-0.2394616582338901},
+{2.0472683695877922,0.253295786877413,-0.3104982284388328,-0.4618199549279588,-0.46699407443076824,-0.4394133417641823,-0.40820067165293195,-0.3749866563895156,-0.3528787725575385,-0.34023534266533456,-0.3266208811013127,-0.3127727175249412,-0.3002682588423649,-0.2892430760598308,-0.27952183670771436,-0.27091845902526707,-0.26325785583978834,-0.2563743644010679,-0.2501783910868784,-0.24453170318413392,-0.23938697460094033},
+{2.0412835482702887,0.249361569497176,-0.31260181510222895,-0.4626867393041475,-0.46732840395221426,-0.4395228670116026,-0.4082098600776438,-0.37494781944950406,-0.3528322319890913,-0.3402002391742357,-0.3265484121651809,-0.31268826663173516,-0.3001808688607413,-0.28915581345981656,-0.2794358749776216,-0.2708342684997245,-0.2631756237345227,-0.2562941170331968,-0.25010007624021025,-0.2444552466043624,-0.23931227853542827},
+{2.0352999873879356,0.2454397680004514,-0.3146954579322288,-0.46354761077087864,-0.46765948165889903,-0.439630529937296,-0.40821791417997233,-0.3749083633849358,-0.352785499707856,-0.34016444970655685,-0.32647554050563266,-0.31260358791020887,-0.300093331856769,-0.2890684486118989,-0.2793498388036152,-0.27075002303176254,-0.26309335056875655,-0.25621383889639177,-0.25002173847772624,-0.24437877327367435,-0.2392375706500514},
+{2.029317738877643,0.24153035460059902,-0.3167791936726898,-0.4644026009350542,-0.467987328032834,-0.43973634348874746,-0.4082248424627862,-0.3748682930105012,-0.3527385943094053,-0.34012797783126547,-0.32640227037405284,-0.31251868403172356,-0.3000056497299568,-0.28898098299755637,-0.27926372940821864,-0.2706657236647229,-0.2630110372509353,-0.25613353079678425,-0.2499433785254492,-0.24430228385326838,-0.2391628515524282},
+{2.0233368543693793,0.23763330149449466,-0.3188530589801797,-0.46525174124521457,-0.4683119634298393,-0.43984032052590943,-0.40823065336858744,-0.37482761310229445,-0.35269153413842824,-0.3400908271572057,-0.32632860598659835,-0.3124335576437392,-0.2999178243634867,-0.2888934180857667,-0.27917754800397576,-0.2705813714333057,-0.2629286846819889,-0.2560531935338482,-0.24986499710340554,-0.24422577899887257,-0.23908812184513226},
+{2.0173573851871898,0.23374858086344022,-0.32091709042372063,-0.4660950629922558,-0.4686334080803157,-0.43994247382180623,-0.4082353552799472,-0.3747863283982268,-0.3526443372458047,-0.34005300133152383,-0.32625455152442046,-0.3123482113700444,-0.2998298576243559,-0.2888057553330992,-0.2790912957935276,-0.2704969673636256,-0.26284629375539736,-0.2559728279004482,-0.24978659492566374,-0.2441492593607821,-0.23901338212573986},
+{2.0113793823502264,0.2298761648740698,-0.32297132448453325,-0.46693259731009373,-0.46895168209002325,-0.4400428160631374,-0.4082389565199725,-0.3747444435984288,-0.35259702134794313,-0.34001450403811706,-0.32618011113390105,-0.3122626478109809,-0.2997417513635272,-0.2887179961838104,-0.27900497396969115,-0.270412512473297,-0.26276386535724744,-0.2558924346829038,-0.24970817270039153,-0.24407272558390733,-0.23893863298686527},
+{2.005402896573774,0.22601602567924603,-0.32501579755579235,-0.46776437517638153,-0.46926680544085,-0.44014135985089536,-0.4082414653527196,-0.37470196336565326,-0.35254960378847655,-0.3399753389961063,-0.32610528892687546,-0.3121768695436572,-0.299653507416071,-0.28863014206992654,-0.2789185837155349,-0.270328007771492,-0.2626814003662921,-0.2558120146610297,-0.2496297311298906,-0.24399617830780945,-0.2388638750161994},
+{1.999427978270275,0.2221681354189433,-0.3270505459423852,-0.46859042741318496,-0.46957879799157115,-0.4402381177009452,-0.4082428899836547,-0.3746588923256653,-0.3525021015024418,-0.33993550995833954,-0.326030088980871,-0.31209087912217653,-0.29956512760130627,-0.28854219441133483,-0.27883212620445896,-0.27024345425901564,-0.26259889965401584,-0.25573156860819524,-0.2495512709106599,-0.24391961816675004,-0.2387891087965514},
+{1.993454677550365,0.21833246622112235,-0.3290756058606796,-0.4694107846876674,-0.4698876794786192,-0.44033310204464615,-0.4082432385600865,-0.3746152350676414,-0.3524545309829975,-0.33989502070991706,-0.3259545153393424,-0.3120046790778451,-0.29947661372294576,-0.28845415461587093,-0.2787456026002689,-0.27015885292837105,-0.26251636408469,-0.2556510972913788,-0.24947279273342937,-0.24384304578972868,-0.23871433490588428},
+{1.9874830442238915,0.21450899020259842,-0.33109101343828723,-0.4702254775127918,-0.4701934695168277,-0.4404263252294239,-0.4082425191715848,-0.37457099614454265,-0.3524069082507296,-0.3398538750667417,-0.3258785720119011,-0.3119182719193928,-0.29938796756923475,-0.2883660240794008,-0.2786590140572513,-0.2700742047638304,-0.2624337945154275,-0.2555706014712064,-0.2493942972832087,-0.24376646180052491,-0.23863955391735342},
+{1.981513127800947,0.21069767946989487,-0.33309680471384506,-0.4710345362479804,-0.47049618760018896,-0.44051779951935877,-0.40824073985042614,-0.3745261800734981,-0.35235924882557856,-0.33981207687409154,-0.32580226297455306,-0.3118316601331789,-0.2992991909130881,-0.2882778041859076,-0.27857236172024735,-0.269989510741501,-0.26235119179624883,-0.2554900819020175,-0.24931578523933312,-0.24368986681773952,-0.23856476639934812},
+{1.9755449774928935,0.20689850612009114,-0.33509301563679195,-0.47183799109982333,-0.4707958531026039,-0.44060753709578226,-0.4082379085719967,-0.3744807913361791,-0.35231156770138067,-0.33976963000522403,-0.32572559216993496,-0.31174484618340503,-0.29921028551222556,-0.2881894963075708,-0.27848564672472786,-0.2699047718293883,-0.26226855677013083,-0.2554095393319051,-0.249237257275509,-0.24361326145483475,-0.23848997291551965},
+{1.9695786422133987,0.2031114422416621,-0.3370796820671577,-0.47263587212274344,-0.47109248527861614,-0.44069555005783406,-0.40823403325523017,-0.3744348343791666,-0.35226387932303066,-0.33972653835999866,-0.325648563507545,-0.3116578325123263,-0.2991212531093103,-0.2881011018048587,-0.2783988701968646,-0.26981998898746473,-0.2621858902730711,-0.2553289745027708,-0.2491587140598574,-0.24353664632017674,-0.2384151740248301},
+{1.9636141705794603,0.19933645991530316,-0.33905683977535384,-0.4734282092196704,-0.4713861032641572,-0.4407818504230582,-0.4082291217630284,-0.3743883136143159,-0.35221619756622424,-0.33968280586353206,-0.3255711808639892,-0.3115706215404534,-0.29903209543208653,-0.2880126220266056,-0.27831203325360887,-0.26973516316773977,-0.2621031931341413,-0.25524838815037204,-0.24908015625496,-0.24346002201707528,-0.2383403702815783},
+{1.9576516109124298,0.19557353121475357,-0.3410245244419674,-0.47421503214273597,-0.47167672607727174,-0.4408664501279609,-0.40822318190265794,-0.37434123341911296,-0.35216853571972967,-0.3396384364648624,-0.32549344808320146,-0.31148321566675485,-0.298942814193506,-0.2879240583100998,-0.2782251370027583,-0.269650295314313,-0.26202046617554176,-0.25516778100436915,-0.24900158451789917,-0.24338338914382157,-0.23826556223544587},
+{1.9516910112390529,0.1918226282076031,-0.3429827716575694,-0.4749963704939241,-0.47196437261885327,-0.440949361028577,-0.4082162214261855,-0.3742935981370302,-0.3521209064701639,-0.33959343413565846,-0.3254153689766912,-0.31139561726886394,-0.29885341109186436,-0.2878354119811719,-0.27813818254302575,-0.26956538636345345,-0.261937710212661,-0.25508715378838054,-0.24892299950030686,-0.24330674829372767,-0.238190750431525},
+{1.9457324192924887,0.18808372295609543,-0.34493161692251206,-0.4757722537257674,-0.47224906167336866,-0.4410305949010401,-0.40820824803085626,-0.37424541207787393,-0.35207332188916723,-0.3395478028689351,-0.32533694732376756,-0.31130782870327456,-0.2987638878109272,-0.2877466843542736,-0.27805117096412035,-0.26948043724364973,-0.26185492605412547,-0.2550065072200247,-0.24884440184840242,-0.2432301000551666,-0.23811593541035941},
+{1.9397758825133447,0.18435678751791817,-0.3468710956467516,-0.4765427111420074,-0.47253081190957336,-0.44111016344212617,-0.40819926935952966,-0.374196679518131,-0.3520257934229444,-0.3395015466778034,-0.3252581868717759,-0.311219852305541,-0.2986742460200657,-0.28765787673257703,-0.2779641033468086,-0.26939544887568334,-0.26177211450185844,-0.25492584201097135,-0.2487657922030383,-0.24315344501161232,-0.23804111770798056},
+{1.9338214480507032,0.18064179394698662,-0.3488012431496581,-0.47730777189825147,-0.47280964188123187,-0.44118807826982326,-0.40818929300106477,-0.3741474047013061,-0.35197833188405186,-0.3394546695942386,-0.3251790913363278,-0.3111316903904732,-0.29858448737438054,-0.2875689904080514,-0.2778769807629886,-0.2693104221726845,-0.2616892763511334,-0.2548451588669864,-0.24868717119974243,-0.24307678374167807,-0.23796629785593473},
+{1.9278691627631483,0.17693871429421634,-0.35072209465984105,-0.478067465002667,-0.47308557002782514,-0.44126435092387295,-0.4081783264907159,-0.3740975918382567,-0.3519309474453571,-0.33940717566787976,-0.3250996644015301,-0.3110433452523302,-0.2984946135148262,-0.2874800266615628,-0.27778980427575845,-0.26922535804019865,-0.26160641239062565,-0.2547644584879793,-0.24860853946875944,-0.24300011681914832,-0.23789147638132777},
+{1.921919073219804,0.1732475206082834,-0.35263368531497785,-0.4788218193166171,-0.47335861467526286,-0.44133899286631645,-0.4081663773105464,-0.37404724510752574,-0.35188364963609253,-0.33935906896483997,-0.3250199097202157,-0.3109548191650158,-0.29840462606834256,-0.2873909867629597,-0.27770257493948314,-0.26914025737624764,-0.261523523402465,-0.25468374156805507,-0.2485298976350951,-0.2429234448130282,-0.23781665380685676},
+{1.9159712257013488,0.16956818493637754,-0.35453605016164125,-0.4795708635553485,-0.47362879403658525,-0.44141201548204184,-0.4081534528897937,-0.3739963686556636,-0.35183644733986297,-0.3393103535665524,-0.32493983091416634,-0.3108661143822604,-0.29831452664797253,-0.28730187197116774,-0.27761529379986793,-0.2690551210713861,-0.26144061016229236,-0.25460300879554953,-0.24845124631854784,-0.24284676828756865,-0.23774183065083662},
+{1.9100256662010553,0.16590067932493968,-0.356429224155142,-0.4803146262886393,-0.47389612621265836,-0.44148343007930935,-0.4081395606052823,-0.3739449665975547,-0.3517893487945477,-0.3392610335686338,-0.32485943157434105,-0.3107772331378207,-0.298224316852993,-0.2872126835342782,-0.2775279618940179,-0.2689699500087696,-0.26135767343930927,-0.25452226085308627,-0.2483725861337633,-0.24277008780231196,-0.23766700742724933},
+{1.9040824404258134,0.1622449758203895,-0.3583132421593687,-0.4810531359414515,-0.47416062919287233,-0.4415532478903029,-0.4081247077818049,-0.37389304301673243,-0.3517423615939745,-0.33921111307977303,-0.32477871526110064,-0.310688177645653,-0.29813399826902603,-0.28712342268965313,-0.277440580250514,-0.2688847450642081,-0.2612747139963281,-0.25444149841761504,-0.24829391769026796,-0.24269340391212257,-0.23759218464576118},
+{1.898141593797161,0.15860104646983214,-0.36018813894663654,-0.48178642079461365,-0.4744223208558305,-0.44162148007165203,-0.4081089016924949,-0.3738406019656896,-0.35169549269124933,-0.33916059622063943,-0.32469768550442885,-0.31059895010011207,-0.29804357246817115,-0.28703409066400914,-0.2773531498894757,-0.2687995071062305,-0.26119173258982836,-0.25436072216046046,-0.24821524159250813,-0.24261671716723415,-0.23751736281176822},
+{1.8922031714523093,0.15496886332175536,-0.36205394919753514,-0.48251450898544096,-0.47468121897003457,-0.44168813770495174,-0.4080921495592251,-0.3737876474661925,-0.35164874840366145,-0.33910948712281624,-0.32461634580415083,-0.31050955267612296,-0.2979530410091161,-0.2869446886735202,-0.277265671822622,-0.26871423699613994,-0.26110872997,-0.25427993274736393,-0.2481365584398919,-0.24254002811327213,-0.23744254242642487},
+{1.8862672182451685,0.15134839842669756,-0.3639107075007916,-0.4832374285084214,-0.47493734119457276,-0.44175323179730347,-0.40807445855296387,-0.37373418350958226,-0.3516021344190339,-0.33905778992775587,-0.3245346996301574,-0.3104199875293649,-0.2978624054372565,-0.28685521792391094,-0.277178147053347,-0.2686289355880731,-0.2610257068808023,-0.25419913083852863,-0.2480578688268288,-0.24246333729129674,-0.23736772398667155},
+{1.8803337787473808,0.1477396238379018,-0.3657584483531264,-0.4839552072158508,-0.4751907050797897,-0.4418167732818094,-0.4080558357941641,-0.3736802140570749,-0.35155565580343456,-0.3390055087857608,-0.3244527504226158,-0.31033025679645354,-0.29777166728481846,-0.28676567961055865,-0.27709057657677705,-0.2685436037290604,-0.260942664060006,-0.25411831708866517,-0.24797917334276853,-0.24238664523784076,-0.23729290798528385},
+{1.8744028972493398,0.14414251161193786,-0.3675972061591226,-0.4846678728184738,-0.4754413280679665,-0.44187877301810913,-0.4080362883531388,-0.37362574304006213,-0.35150931701013916,-0.33895264785498,-0.3243705015921948,-0.3102403625951141,-0.29768082807096685,-0.2866760749185853,-0.27700296137983876,-0.26845824225908277,-0.26085960223925153,-0.2540374921470341,-0.2479004725722438,-0.24230995248494339,-0.23721809491088125},
+{1.8684746177612206,0.14055703380929443,-0.369427015231096,-0.4853754528861551,-0.47568922749398435,-0.441939241792883,-0.40801582325040914,-0.3735707743603969,-0.3514631218897225,-0.3388992113004314,-0.3242879565202689,-0.31015030702435875,-0.29758988930192554,-0.28658640502295957,-0.2769153024413245,-0.26837285201112543,-0.2607765221440873,-0.2539566566574855,-0.24782176709490006,-0.24223325956017852,-0.23714328524797945},
+{1.8625489840140048,0.13698316249494025,-0.3712479097889712,-0.48607797484849646,-0.4759344205859975,-0.4419981903203574,-0.4079944474571003,-0.37351531189069126,-0.35141707370123176,-0.3388452032930471,-0.3242051185591396,-0.31006009216466246,-0.29749885247109104,-0.2864966710885953,-0.27682760073195034,-0.2682874338112399,-0.2606934244940278,-0.25387581125851,-0.2477430574855407,-0.24215656698670077,-0.2370684794770121},
+{1.856626039460503,0.13342086973884143,-0.373059923960159,-0.4867754659955052,-0.4761769244660931,-0.44205562924281605,-0.407972167895264,-0.37345935947459247,-0.35137117512428284,-0.33879062800873866,-0.32412199103224304,-0.30996972007812856,-0.29740771905914004,-0.2864068742704474,-0.2767398572144244,-0.26820198847859333,-0.2606103100025954,-0.25379495658327106,-0.24766434431416504,-0.24207987528327327,-0.2369936780743644},
+{1.8507058272763839,0.12987012761643893,-0.3748630917794447,-0.4874679534782222,-0.476416756150946,-0.44211156913108624,-0.4079489914382641,-0.3734029209270714,-0.3513254282720338,-0.3387354896274799,-0.3240385772343609,-0.3098791928086698,-0.29731649053414655,-0.28631701571361123,-0.2766520728435104,-0.2681165168255323,-0.26052717937737707,-0.25371409325965494,-0.24758562814600435,-0.24200318496430057,-0.23691888151240678},
+{1.8447883903611912,0.12633090820907047,-0.376657447188876,-0.48815546430935414,-0.4766539325524748,-0.44216602048505543,-0.4079249249110901,-0.3733460000346944,-0.35127983470492846,-0.33867979233242124,-0.3239548804318317,-0.30978851238216454,-0.297225168351691,-0.2862270965534196,-0.2765642485660821,-0.26803101965763154,-0.26044403332005994,-0.2536332219103091,-0.2475069095415581,-0.24192649653987028,-0.23684409025952124},
+{1.8388737713393735,0.12280318360434431,-0.37844302403765573,-0.4888380253639336,-0.47688847047849015,-0.4422189937341531,-0.4078999750906349,-0.3732886005559033,-0.3512343954451177,-0.3386235403090116,-0.3238709038627545,-0.30969768080663646,-0.29713375395496483,-0.28613711791554386,-0.2764763853211936,-0.2679454977737485,-0.260360872526486,-0.2535523431526817,-0.24742818905663133,-0.24184981051577542,-0.23676930478013458},
+{1.832962012561301,0.11928692589644624,-0.38021985608204134,-0.48951566337992336,-0.4771203866333425,-0.44227049923783546,-0.4078741487059039,-0.37323072622127745,-0.35118911099148575,-0.338566737744152,-0.3237866507371983,-0.3096067000724066,-0.2970422487748888,-0.2860470809160864,-0.27638848404013433,-0.26785995196608425,-0.2602776976866954,-0.2534714575990679,-0.2473494672423716,-0.24177312739355877,-0.23669452553475226},
+{1.8270531561042944,0.1157821071863821,-0.3819879769852447,-0.4901884049588793,-0.4773496976185675,-0.4423205472860904,-0.4078474524380285,-0.37317238073380965,-0.3511439813351991,-0.3385093888253618,-0.32370212423741,-0.3095155721522683,-0.2969506542302091,-0.285956986661679,-0.2763005456464987,-0.2677743830202296,-0.2601945094849778,-0.25339056585664377,-0.2472707446453096,-0.24169644767053564,-0.23661975297998517},
+{1.8211472437736338,0.11228869958214735,-0.3837474203173422,-0.4908562765665646,-0.47757641993351374,-0.44236914809989275,-0.4078198929200749,-0.3731135677691598,-0.3510990059757001,-0.3384514977399703,-0.32361732751800654,-0.30942429900164503,-0.29685897172761067,-0.28586683624957937,-0.27621257105623004,-0.26768879171522,-0.260111308599911,-0.25330966852751374,-0.24719202180738814,-0.24161977183983985,-0.23654498756857723},
+{1.8152443171035937,0.10880667519881695,-0.38549821955518504,-0.4915193045335745,-0.4778005699759898,-0.44241631183171104,-0.40779147673647526,-0.3730542909759248,-0.3510541839370751,-0.33839306867432983,-0.3235322637061968,-0.3093328825587488,-0.2967672026618215,-0.2857766307677644,-0.27612456117769757,-0.2676031788235944,-0.2600280957044137,-0.25322876620874596,-0.24711329926600462,-0.24154310039044444,-0.236470229749443},
+{1.80934441735845,0.10533600615854999,-0.3872404080823124,-0.49217751505598106,-0.4780221640428825,-0.4424620485659672,-0.4077622104219462,-0.3729945539758862,-0.3510095137847329,-0.3383341058130389,-0.32344693590196805,-0.3092413247447393,-0.2966753484157131,-0.2856863712950269,-0.27603651691174724,-0.2675175451114363,-0.25994487146578243,-0.2531478594924107,-0.24703457755403802,-0.2414664338071941,-0.23639547996768698},
+{1.8034475855335055,0.10187666459050866,-0.388974019188875,-0.4928309341959348,-0.4782412183307907,-0.4425063683195114,-0.4077321004598153,-0.37293436036426586,-0.35096499364231637,-0.33827461333819364,-0.32336134717829396,-0.3091496274638865,-0.29658341036041047,-0.2855960589010638,-0.27594843915175954,-0.2674318913384369,-0.25986163654574185,-0.25306694896562076,-0.24695585719989116,-0.24138977257084632,-0.23632073866464098},
+{1.7975538623561065,0.09842862263067699,-0.39069908607155385,-0.49347958788231006,-0.47845774893665083,-0.4425492810420984,-0.4077011532795172,-0.3728737137099817,-0.35092062120880724,-0.33821459542865906,-0.3232755005813366,-0.3090577926037184,-0.2964913898553843,-0.2855056946465715,-0.27586032878371186,-0.26734621825794,-0.2597783916004899,-0.25298603521057694,-0.24687713872752753,-0.24131311715809514,-0.2362460062778925},
+{1.7916632882866559,0.09499185242157732,-0.3924156418334925,-0.49412350191131454,-0.4786717718583454,-0.4425907966168366,-0.4076693752532224,-0.37281261755588335,-0.35087639377574487,-0.33815405625935374,-0.3231893991306398,-0.3089658220351821,-0.2963992882485635,-0.28541527958333857,-0.2757721866862351,-0.2672605266169967,-0.25969513728073895,-0.25290511880459626,-0.24679842265649876,-0.24123646804160734,-0.23617128324131323},
+{1.7857759035196337,0.09156632611189176,-0.39412371948422864,-0.4947627019470979,-0.47888330299532844,-0.44263092486067107,-0.40763677269141424,-0.3727510754190054,-0.3508323082445276,-0.33809300000055514,-0.323103045819334,-0.30887371761279026,-0.2963071068764278,-0.2853248147543322,-0.2756840137306702,-0.2671748171564116,-0.2596118742317577,-0.2528242003201572,-0.2467197095019832,-0.24115982569004846,-0.23609656998507986},
+{1.7798917479846101,0.0881520158559646,-0.39582335193962787,-0.49539721352239474,-0.4790923581492312,-0.44266967552482994,-0.4076033518373473,-0.37268909079080176,-0.350788361143723,-0.3380314308172272,-0.3230164436143299,-0.3087814811747767,-0.29621484706410844,-0.28523430119378695,-0.27559581078112694,-0.26708909061079666,-0.2595286030934193,-0.25274328032493487,-0.24664099977481885,-0.24108319056811894,-0.23602186693571578},
+{1.7740108613472576,0.0847488938131952,-0.397514572021828,-0.49602706203910424,-0.4792989530244679,-0.44270705829527796,-0.4075691188603684,-0.37262666713738474,-0.35074454864636756,-0.33796935286836083,-0.3229295954565177,-0.3086891145432454,-0.2961225101254888,-0.2851437399272926,-0.2755075786945354,-0.26700334770862,-0.2594453245002385,-0.2526623593818385,-0.24656229398153756,-0.24100656313658117,-0.23594717451610955},
+{1.7681332830103653,0.08135693214731907,-0.39919741245917695,-0.49665227276893553,-0.4795031032288501,-0.442743082793181,-0.407534079848013,-0.3725638078997583,-0.35070086658718647,-0.33790677030633387,-0.3228425042609632,-0.3085966195243133,-0.29603009736329844,-0.2850531319718817,-0.27541931832071254,-0.26691758917225344,-0.25936203908141897,-0.252581438049049,-0.246483592624399,-0.24092994385229036,-0.2358724931455452},
+{1.7622590521148538,0.07797610302556633,-0.40087190588618765,-0.49727287085400135,-0.47970482427417566,-0.44277775857533735,-0.40749824079700714,-0.37250051649405164,-0.3506573104797165,-0.33784368727629366,-0.3227551729171018,-0.3085039979082655,-0.2959376100692138,-0.28496247833611077,-0.2753310305024079,-0.2668318157180237,-0.2592787474608941,-0.2525005168800621,-0.24640489620142164,-0.24085333316822877,-0.23579782323973444},
+{1.75638820754078,0.07460637861770311,-0.4025380848434859,-0.4978888813074165,-0.4799041315768296,-0.4428110951346411,-0.407461607603149,-0.37243679631174514,-0.3506138755332809,-0.33778010791554935,-0.32266760428893604,-0.30841125146968934,-0.2958450495239486,-0.2848717800201473,-0.2752427160753622,-0.2667460280562612,-0.25919545025736634,-0.25241959642371387,-0.24632620520641968,-0.2407767315335265,-0.23572316521083195},
+{1.7505207879083509,0.07124773109494983,-0.4041959817777695,-0.4985003290139322,-0.480101040458376,-0.4428431019005162,-0.40742418605021463,-0.37237265071989434,-0.35057055666978604,-0.3377160363529894,-0.3225798012152286,-0.30831838196763106,-0.2957524169973518,-0.28478103801585103,-0.27515437586836733,-0.26666022689134417,-0.25911214808435146,-0.2523386772242237,-0.2462475201290314,-0.24070013939350615,-0.23564851946748386},
+{1.7446568315789321,0.06790013262878464,-0.4058456290417643,-0.49910723873050533,-0.480295566146149,-0.4428737882393529,-0.40738598179805896,-0.37230808306135554,-0.3505273485403205,-0.33765147670850487,-0.3224917665096957,-0.30822539114572517,-0.2956597137485023,-0.284690253306852,-0.275066010703309,-0.26657441292175116,-0.2590288415502151,-0.25225775982122745,-0.2461688414547538,-0.240623557189691,-0.23557388641482763},
+{1.738796376656051,0.06456355538961484,-0.4074870588941926,-0.49970963508693084,-0.4804877237738415,-0.44290316345495745,-0.4073470003699906,-0.3722430966550052,-0.3504842455415038,-0.33758643309244624,-0.3224035029612,-0.30813228073234344,-0.2955669410257965,-0.28459942686863265,-0.2749776213952355,-0.2664885868401048,-0.2589455312582198,-0.2521768447498226,-0.2460901696649746,-0.24054698535985727,-0.23549926645454475},
+{1.7329394609864106,0.06123797154534148,-0.4091203034997359,-0.5003075425864282,-0.48067752838207845,-0.4429312367889615,-0.4073072471397143,-0.37217769479595314,-0.3504412418315869,-0.3375209096050803,-0.3223150133339426,-0.30803905244073365,-0.2954741000670485,-0.2845085596686039,-0.2748892087524007,-0.26640274933321967,-0.2588622178065632,-0.25209593254058915,-0.24601150523700444,-0.24047042433804772,-0.23542465998487402},
+{1.7270861221608875,0.05792335325979749,-0.4107453949290084,-0.5009009856062254,-0.48086499491900425,-0.44295801742127755,-0.407266727317966,-0.37211188075575996,-0.35039833134627146,-0.3374549103360703,-0.32222630036765715,-0.30794570796915044,-0.29538119209957114,-0.284417652666185,-0.27480077357631905,-0.26631690108215256,-0.258778901788413,-0.25201502371963574,-0.24593284864410747,-0.24039387455460476,-0.23535006740063275},
+{1.7212363975155371,0.054619672691070244,-0.4123623651585344,-0.5014899883981863,-0.48105013824085,-0.44298351447051215,-0.40722544593907184,-0.37204565778264925,-0.35035550781421015,-0.3373884393639732,-0.32213736677779936,-0.3078522490010014,-0.29528821834027663,-0.2843267068128737,-0.2747123166618266,-0.2662310427622373,-0.25869558379195384,-0.2519341188086284,-0.24585420035553335,-0.24031733643619863,-0.23527548909325796},
+{1.7153903241326,0.051326901989714145,-0.41397124607072183,-0.5020745750893698,-0.48123297311251056,-0.4430077369943891,-0.40718340784768425,-0.3719790291017129,-0.3503127647722158,-0.33732150075575335,-0.3220482152557358,-0.30775867720497607,-0.29519517999575823,-0.28423572305232947,-0.2746238387971188,-0.26614517504314805,-0.25861226440042173,-0.2518532183248316,-0.24577556083654944,-0.24024081040585757,-0.23520092545082316},
+{1.709547938841497,0.048045013296854885,-0.41557206945384684,-0.5026547696826436,-0.481413514208113,-0.44303069399017964,-0.4071406176858196,-0.37191199791511853,-0.3502700955800961,-0.3372540985663054,-0.3219588484689344,-0.3076649942351774,-0.2951020782623783,-0.2841447023204303,-0.2745353407638131,-0.2660592985889215,-0.25852894419214123,-0.25177232278113415,-0.24569693054846686,-0.24016429688299384,-0.23512637685805998},
+{1.7037092782198364,0.04477397874218584,-0.4171648670020393,-0.5032305960572718,-0.48159177611157494,-0.4430523943951039,-0.40709707988052407,-0.3718445674023169,-0.350227493435177,-0.33718623683799775,-0.321869269061158,-0.307571201731266,-0.2950089143263637,-0.28405364554536405,-0.2744468233370026,-0.26597341405802644,-0.25844562374057556,-0.2516914326860904,-0.24561830994867828,-0.2400877962834314,-0.23505184369640061},
+{1.6978743785944064,0.04151377044186333,-0.41874967031527544,-0.5038020779694833,-0.4817677733171747,-0.44307284708676614,-0.40705279863223326,-0.37177674072023764,-0.3501849513864371,-0.33711791960023013,-0.3217794796526488,-0.3074773013185782,-0.29491568936388624,-0.28396255364768475,-0.27435828728530043,-0.26588752210339434,-0.2583623036143512,-0.2516105485439531,-0.24553969949068502,-0.24001130901943782,-0.23497732634398047},
+{1.6920432760421735,0.03826436049631151,-0.420326510899365,-0.5043692390530851,-0.48194152023009784,-0.44309206088355263,-0.40700777790407383,-0.3717085210034917,-0.35014246234828106,-0.3370491508690043,-0.3216894828403164,-0.30738329460826264,-0.2948224045411474,-0.28387142754038497,-0.2742697333708891,-0.2658016233724574,-0.2582789843772997,-0.2515296708546997,-0.24546109962411944,-0.23993483549974076,-0.23490282517567904},
+{1.686216006391283,0.03502572098793775,-0.4218954201659519,-0.5049321028200136,-0.4821130311669965,-0.44311004454503977,-0.40696202141225746,-0.3716399113645638,-0.35010001911393346,-0.33697993464651277,-0.32159928119792447,-0.30728918319740467,-0.29472906101447127,-0.2837802681289657,-0.27418116234957834,-0.26571571850720865,-0.2581956665884998,-0.25144880011407367,-0.24538251079478893,-0.23985837612957095,-0.23482834056314458},
+{1.6803926052220468,0.031797823978759,-0.42345642943250983,-0.5054906926609435,-0.4822823203565484,-0.4431268067724132,-0.40691553261765406,-0.37157091489401184,-0.35005761436844307,-0.33691027492073194,-0.3215088772762834,-0.30719496866915974,-0.29463565993037877,-0.2836890763115005,-0.27409257497085404,-0.2656298081442356,-0.2581123508023095,-0.25136793681361763,-0.2453039334446992,-0.23978193131067152,-0.23475387287480998},
+{1.67457310786794,0.028580641507962905,-0.42500956992234945,-0.5060450318458531,-0.4824494019399876,-0.4431423562088489,-0.4068683147187302,-0.3715015346606517,-0.350015240701299,-0.3368401756650452,-0.32141827360342556,-0.30710065259287506,-0.29454220242567963,-0.28359785297870543,-0.27400397197792076,-0.26554389291475966,-0.2580290375684121,-0.2512870814406992,-0.24522536801207828,-0.23970550144134475,-0.2346794224759254},
+{1.668757549416594,0.02537414558939012,-0.42655487276462556,-0.5065951435245921,-0.48261428997166406,-0.4431567014399394,-0.40682037064588183,-0.3714317737117545,-0.34997289061864933,-0.33676964083786515,-0.3213274726848051,-0.30700623652421466,-0.2944486896275538,-0.2835065990139993,-0.2739153541077588,-0.26545797344469074,-0.2579457274318373,-0.25120623447854923,-0.2451468149314115,-0.239629086916457,-0.2346049897285771},
+{1.6629459647107825,0.022178308208965623,-0.42809236899434183,-0.5071410507274777,-0.4827769984195691,-0.44316985099406847,-0.40677170305722954,-0.3713616350732233,-0.34993055655511585,-0.3366986743822722,-0.3212364770034644,-0.30691172200528294,-0.2943551226536263,-0.28341531529356584,-0.27382672209117076,-0.26537205035465733,-0.25786242093301504,-0.25112539640629156,-0.24506827463347367,-0.23955268812748565,-0.23453057499172011},
+{1.6571383883494142,0.018993101322065935,-0.4296220895523685,-0.5076827763658411,-0.48293754116588544,-0.44318181334281836,-0.4067223143359873,-0.37129112174978574,-0.3498882308852248,-0.3366272802256739,-0.32114528902023554,-0.3068171105647476,-0.29426150261205974,-0.28332400268642266,-0.2737380766528257,-0.2652861242600579,-0.25777911860779573,-0.2510445676989765,-0.24498974754534597,-0.23947630546252707,-0.23445617862119053},
+{1.6513348546885158,0.01581849685085078,-0.43114406528545657,-0.5082203432326216,-0.4830959320075182,-0.44319259690136115,-0.4066722065893233,-0.37122023672517424,-0.3498459059344205,-0.3365554622794718,-0.32105391117391435,-0.3067224037179605,-0.29416783060162327,-0.28323266205447273,-0.2736494185113152,-0.26520019577109244,-0.2576958209874985,-0.2509637488276095,-0.24491123409045745,-0.23939993930633352,-0.23438180096973887},
+{1.6455353978422218,0.012654466681550694,-0.4326583269462572,-0.5087537740029241,-0.4832521846566197,-0.4432022100288347,-0.40662138164882244,-0.37114898296230586,-0.34980357398969186,-0.33648322443873496,-0.32096234588144357,-0.3066276029670799,-0.29407410771178344,-0.28314129425257645,-0.27356074837919636,-0.26511426549281447,-0.25761252859894107,-0.2508829402591869,-0.24483273468860361,-0.23932359004033799,-0.23430744238704843},
+{1.6397400516837548,0.009500982661732708,-0.43416490519334766,-0.5092830912345697,-0.48340631274112295,-0.44321066102874346,-0.40656984107245453,-0.37107736340345765,-0.3497612273097953,-0.33641057058189744,-0.32087059553809427,-0.30653270980118347,-0.29398033502277454,-0.2830499001286003,-0.273472066963037,-0.26502833402516424,-0.257529241964473,-0.25080214245671917,-0.24475424975597782,-0.23924725804267422,-0.23423310321975843},
+{1.6339488498464108,0.0063580165975382075,-0.4356638305912534,-0.5098083173686941,-0.4835583298052615,-0.4432179581493389,-0.40651758614804845,-0.3710053809704488,-0.34971885813508385,-0.3363375045704626,-0.3207786625176516,-0.3064377256963901,-0.2938865136056822,-0.2829584805234806,-0.27338337496346865,-0.2649424019630099,-0.25744596160201605,-0.2507213558792716,-0.24467577970520216,-0.2391709436882065,-0.2341587838114933},
+{1.6281618257245387,0.003225540250915447,-0.4371551336104802,-0.5103294747302697,-0.48370824931009127,-0.44322410958398983,-0.4064646178982366,-0.3709330385648085,-0.3496764586969527,-0.3362640302487124,-0.32068654917258577,-0.30634265211597766,-0.29379264452251613,-0.2828670362712823,-0.27329467307522803,-0.26485646989619355,-0.2573626880250943,-0.25064058098198805,-0.24459732494534991,-0.23909464734855473,-0.23408448450287855},
+{1.6223790124745197,0.00010352533684700876,-0.43863884462754155,-0.5108465855286953,-0.4838560846340148,-0.4432291234715766,-0.4064109370867637,-0.3708603390679476,-0.34963402122687975,-0.3361901514434442,-0.3205942578342419,-0.3062474905104922,-0.29369872882629233,-0.28277556819924965,-0.2732059619872076,-0.2647705384095633,-0.25727942174286944,-0.25055981821612483,-0.2445188858819748,-0.23901836939211574,-0.23401020563156916},
+{1.6166004430157443,-0.0030080564794161685,-0.44011499392499875,-0.5113596718583462,-0.4840018490732839,-0.44323300789684483,-0.4063565442261454,-0.3707872853413364,-0.34959153796510134,-0.3361158719636982,-0.32050179081301094,-0.30615224231786853,-0.2936047675611072,-0.2826840771278686,-0.2731172423824993,-0.26468460808301864,-0.25719616326018013,-0.2504790680290793,-0.244440462917137,-0.23894211018409373,-0.23393594753226826},
+{1.6108261500315895,-0.006109233585110188,-0.4415836116914957,-0.511868755699107,-0.4841455558425203,-0.4432357708907958,-0.4063014395865486,-0.3707138802266614,-0.3495490011689021,-0.3360411956005219,-0.32040915039850953,-0.3060569089635376,-0.29351076176220786,-0.28259256387091597,-0.2730285149384346,-0.2645986794915468,-0.25711291307756423,-0.25039833086441776,-0.2443620564494332,-0.2388658700865161,-0.23386171053674715},
+{1.6050561659703926,-0.00920003442268559,-0.44304472802180317,-0.5123738589169653,-0.4842872180752164,-0.4432374204310533,-0.4062456232058119,-0.3706401265459982,-0.3495064031205314,-0.3359661261267184,-0.32031633885975874,-0.30596149186054444,-0.2934167124560777,-0.28250102923552,-0.2729397803266451,-0.26451275320525924,-0.2570296716913061,-0.2503176071619101,-0.24428366687401976,-0.23878964945827014,-0.2337874949738813},
+{1.5992905230464234,-0.012280487492506584,-0.4444983729168561,-0.5128750032645186,-0.4844268488242448,-0.44323796444221836,-0.40618909490053173,-0.37056602710197295,-0.34946373613475845,-0.335890667296623,-0.32022335844535527,-0.3058659924096523,-0.29332262066049836,-0.2824094740222076,-0.2728510392130876,-0.26442682978943644,-0.2569464395934564,-0.25023689735755145,-0.2442052945826408,-0.23871344865511118,-0.23371330116965214},
+{1.5935292532408545,-0.01535062135551319,-0.4459445762838069,-0.5133722103815608,-0.48456446106236495,-0.44323741079625373,-0.4061318542780714,-0.3704915846779257,-0.3494209925660627,-0.33581482284588604,-0.32013021138365316,-0.30577041199945615,-0.2932284873846335,-0.28231789902496,-0.27276229225810555,-0.26434090980456104,-0.2568632172718744,-0.25015620188360294,-0.24412693996365153,-0.23863726802970325,-0.23363912944718562},
+{1.5877723883027317,-0.018410464635831243,-0.4473833679360712,-0.5138655017956093,-0.48470006768270846,-0.443235767312819,-0.40607390074944333,-0.3704168020380685,-0.3493781648154793,-0.3357385964912654,-0.32003689988293005,-0.30567475200649286,-0.29313431362909226,-0.2822263050312624,-0.27267354011646366,-0.26425499380635575,-0.2567800052102597,-0.25007552116860676,-0.24404860340204823,-0.2385611079316306,-0.23356498012676716},
+{1.5820199597499418,-0.021460046023329286,-0.44881477759337896,-0.5143548989224412,-0.484833681499288,-0.4432330417596549,-0.40601523354291225,-0.37034168192764316,-0.3493352453370916,-0.33566199193042534,-0.31994342613156557,-0.3055790137953436,-0.2930401003860094,-0.28213469282216014,-0.27258478343739584,-0.2641690823458262,-0.2566968038881805,-0.24999485563742285,-0.24397028527949327,-0.23848496870742436,-0.23349085352585935},
+{1.576271998870174,-0.02449939427611684,-0.45023883488183186,-0.5148404230666651,-0.484965315247479,-0.4432292418529307,-0.405955851718218,-0.3702662270730822,-0.34929222664419024,-0.3355850128417525,-0.319849792298214,-0.3054831987187435,-0.2929458486391108,-0.28204306317230216,-0.2724960228646465,-0.26408317596929154,-0.25661361378110814,-0.24991420571125916,-0.24389198597433825,-0.23840885070059037,-0.23341674995913295},
+{1.5705285367218926,-0.02752853822296892,-0.45165556933395806,-0.5153220954222268,-0.48509498158451536,-0.44322437525759006,-0.40589575418136514,-0.37019044018215774,-0.3492491013151092,-0.3355076628841761,-0.3197560005319708,-0.30538730811768944,-0.2928515593637878,-0.281951416849998,-0.2724072590365126,-0.2639972752184239,-0.2565304353604493,-0.24983357180769566,-0.24381370586165135,-0.23833275425162453,-0.2333426697384826},
+{1.5647896041352862,-0.030547506765672798,-0.4530650103887703,-0.5157999370729727,-0.48522269308997823,-0.443218449587718,-0.4058349396997722,-0.37011432394413546,-0.34920586199872,-0.3354299456969977,-0.3196620529625474,-0.30529134332153673,-0.292757233527163,-0.28185975461726165,-0.2723184925858899,-0.263911380630285,-0.25644726909357296,-0.24975295434071038,-0.2437354453132396,-0.23825667969804376,-0.23326861317304237},
+{1.559055231713241,-0.033556328881293805,-0.45446718739183023,-0.5162739689931807,-0.48534846226626993,-0.44321147240687,-0.40577340691781316,-0.37003788102993124,-0.34916250141963673,-0.3353518648997344,-0.319567951700437,-0.3051953056481098,-0.2926628720881661,-0.2817680772298616,-0.2722297241403145,-0.2638254927373619,-0.25636411544385296,-0.24967235372071372,-0.24365720469767815,-0.23818062737440193,-0.23319458056922104},
+{1.5533254498322913,-0.03655503362435339,-0.4558621295953148,-0.5167442120480797,-0.4854723015391063,-0.44320345122844046,-0.40571115437253974,-0.3699611140922521,-0.34911901238309906,-0.3352734240919655,-0.3194736988370877,-0.30509919640380556,-0.29256847599759483,-0.2816763854373732,-0.272140954322006,-0.26373961206760804,-0.25628097487068824,-0.24959177035457025,-0.24357898438033584,-0.23810459761231734,-0.2331205722307092},
+{1.5476002886435767,-0.039543650128905164,-0.4572498661580764,-0.5172106869944055,-0.48559422325798157,-0.4431943935159939,-0.4056481805095401,-0.3698840257657489,-0.34907538777956293,-0.3351946268531885,-0.3193792964450618,-0.30500301688368525,-0.2924740461981886,-0.28158467998321457,-0.2720521837479002,-0.2636537391444669,-0.2561978478295329,-0.24951120464562676,-0.24350078472338796,-0.2380285907404899,-0.2330465884585048},
+{1.5418797780737987,-0.04252220761051277,-0.4586304261457177,-0.5176734144809024,-0.4857142396966498,-0.4431843066836018,-0.4055844836988689,-0.36980661866716236,-0.3490316205890053,-0.3351154767426898,-0.3192847465782075,-0.30490676837158415,-0.29237958362469507,-0.28149296160471027,-0.2719634130297045,-0.2635678744869202,-0.25611473477193897,-0.24943065699374117,-0.24342260608585647,-0.23795260708473126,-0.23297262955093234},
+{1.5361639478261748,-0.045490735368124216,-0.4600038385306585,-0.5181324150488786,-0.48583236305360045,-0.4431731980961987,-0.4055200622508908,-0.3697288953954655,-0.3489877038849417,-0.3350359772994164,-0.3191900512718271,-0.30481045214020497,-0.29228508920393614,-0.2814012310331242,-0.2718746427739336,-0.2634820186095196,-0.25603163614557056,-0.24935012779530988,-0.24334444882362705,-0.2378766469679761,-0.23289869580367062},
+{1.530452827381383,-0.048449262785825065,-0.4613701321922107,-0.518587709132716,-0.48594860545251656,-0.4431610750698969,-0.40545491443205983,-0.3696508585320071,-0.3489436308381787,-0.3349561320418595,-0.3190952125428317,-0.3047140694512243,-0.2921905638548738,-0.28130948899370917,-0.2717858735819424,-0.2633961720224097,-0.25594855239425035,-0.24926961744329262,-0.24326631328947002,-0.23780071071031855,-0.23282478750976332},
+{1.5247464459985198,-0.05139781933448635,-0.46272933591665477,-0.5190393170603902,-0.4860629789427492,-0.4431479448723412,-0.4053890384804788,-0.369572510640655,-0.3488993947203011,-0.33487594446794244,-0.3190002323899121,-0.3046176215553821,-0.2920960084886769,-0.28121773620575785,-0.27169710604998143,-0.2633103352313881,-0.2558654839579778,-0.24918912632724122,-0.2431881998330722,-0.23772479862902007,-0.23275090495964418},
+{1.5190448327160393,-0.054336434573281786,-0.46408147839731484,-0.5194872590540084,-0.4861754954997724,-0.44313381472303026,-0.4053224326211951,-0.36949385426792947,-0.34885498890689887,-0.33479541805492274,-0.31890511279369427,-0.30452110969257684,-0.29200142400878265,-0.28112597338263684,-0.27160834076922064,-0.26322450873790587,-0.2557824312729582,-0.24910865483331696,-0.24311010880104464,-0.23764891103853242,-0.23267704844114678},
+{1.513348016352701,-0.05726513815108467,-0.4654265882346379,-0.5199315552303058,-0.4862861670256476,-0.44311869179364227,-0.40525509508121366,-0.36941489194314925,-0.34881040688055504,-0.3347145562592932,-0.3188098557169066,-0.30442453509196904,-0.29190681131096907,-0.28103420123184214,-0.27151957832580337,-0.2631386930391323,-0.25569939477163867,-0.2490282033443269,-0.2430320405369678,-0.23757304825052913,-0.23260321823954316},
+{1.5076560255085174,-0.06018395980773731,-0.46676469393627396,-0.5203722256011851,-0.4863950053494856,-0.4431025832083772,-0.4051870241040897,-0.36933562617856114,-0.3487656422335914,-0.33463336251670023,-0.31871446310453716,-0.3043278989720718,-0.2918121712834085,-0.28094242045503637,-0.2714308193008777,-0.2630528886279717,-0.25561637488273786,-0.24894777223975328,-0.24295399538140083,-0.23749721057391837,-0.23252941463755009},
+{1.501968888565686,-0.06309292937518732,-0.4680958239171631,-0.5208092900742237,-0.4865020222278884,-0.4430854960442605,-0.40511821796414965,-0.3692560594694816,-0.3487206886705825,-0.33455184024185836,-0.31861893688398873,-0.30423120254084635,-0.29171750480674163,-0.2808506317480952,-0.2713420642706389,-0.2629670959930997,-0.25553337203126797,-0.24886736189576047,-0.24287597367190517,-0.23742139831486994,-0.2324556379153474},
+{1.496286633689537,-0.0659920767784893,-0.4694200064996163,-0.5212427684531703,-0.48660722934541223,-0.44306743733148246,-0.4050486749802124,-0.3691761942944237,-0.3486755400106504,-0.33446999282847956,-0.3185232789652401,-0.30413444699578907,-0.2916228127541314,-0.28075883580115224,-0.27125331380636736,-0.2628813156190005,-0.255450386638568,-0.24878697268524047,-0.24279797574307305,-0.23734561177682506,-0.23238188835060392},
+{1.4906092888294664,-0.06888143203666906,-0.47073726991340287,-0.521672680438489,-0.4867106383150047,-0.4430484140537153,-0.40497839352880355,-0.36909603311523304,-0.348630190189542,-0.334387823649208,-0.31842749124100145,-0.3040376335240322,-0.2915280959913262,-0.2806670332986324,-0.2711645684744657,-0.26279554798599003,-0.2553674191223299,-0.24870660497782127,-0.24272000192654514,-0.23726985126052752,-0.23230816621849157},
+{1.484936881719871,-0.07176102526345542,-0.4720476422958404,-0.5220990456278307,-0.4868122606784611,-0.4430284331484211,-0.40490737205686794,-0.3690155783772171,-0.348584633261507,-0.33430533605555757,-0.31833157558686836,-0.3039407633024261,-0.29143335537672765,-0.2805752249193078,-0.2710758288365006,-0.26270979357026264,-0.2552844698966258,-0.2486262591399062,-0.24264205255103244,-0.23719411706404253,-0.23223447179170353},
+{1.479269439881083,-0.0746308866678606,-0.47335115169187814,-0.5225218835165705,-0.4869121079068629,-0.4430075015071852,-0.4048356090938606,-0.3689348325092751,-0.3485388634009689,-0.3342225333778606,-0.31823553386147796,-0.30384383749763694,-0.2913385917614445,-0.2804834113363305,-0.27098709544923627,-0.262624052843911,-0.2552015393719426,-0.24854593553469034,-0.24256412794234752,-0.23711840948277357,-0.23216080534048428},
+{1.4736069906202987,-0.07749104655462814,-0.47464782605419953,-0.5229412134983014,-0.48701019140101476,-0.44298562597600577,-0.40476310326329723,-0.3688537979240269,-0.3484928749040114,-0.3341394189252185,-0.31813936790665753,-0.3037468572662311,-0.29124380598935995,-0.28039159321727714,-0.2708983688646787,-0.2625383262749618,-0.25511862795520246,-0.24846563452218706,-0.24248622842341216,-0.23704272880948715,-0.2320871671326285},
+{1.467949561032511,-0.08034153532453589,-0.47593769324330454,-0.5233570548653197,-0.4871065224918874,-0.4429628133556254,-0.40468985329367246,-0.3687724770179352,-0.3484466621896769,-0.3340559959854601,-0.3180430795475807,-0.3036498237547639,-0.29114899889718293,-0.28029977122418775,-0.2708096496301018,-0.2624526143274124,-0.25503573604979135,-0.24838535645924886,-0.24240835431429145,-0.2369670753343217,-0.23201355743351243},
+{1.462297178001434,-0.0831823834745529,-0.47722078102761156,-0.5237694268091633,-0.48720111244104625,-0.44293907040183667,-0.40461585802874656,-0.36869087217143615,-0.3484002198010998,-0.333972267825113,-0.31794667059291953,-0.30355273809987415,-0.2910541713145159,-0.28020794601361626,-0.2707209382881018,-0.26236691746125507,-0.2549528640555903,-0.248305101699599,-0.24233050593221545,-0.23689144934483145,-0.2319399765061184},
+{1.4566498682004296,-0.08601362159785239,-0.47849711708354986,-0.5241783484210651,-0.4872939724410874,-0.4429144038257738,-0.40454111643722657,-0.36860898574905804,-0.3483535424064551,-0.33388823768936254,-0.31785014283498103,-0.30345560142835737,-0.2909593240639068,-0.2801161182366528,-0.2706322353766135,-0.26228123613251275,-0.25487001236899676,-0.24822487059384818,-0.24225268359158766,-0.2368158511259732,-0.23186642461103096},
+{1.4510076580934255,-0.08883528038368887,-0.4797667289956586,-0.5245838386924886,-0.48738511361606973,-0.4428888202942422,-0.40446562762176214,-0.36852682009954846,-0.34830662479975755,-0.33380390880203387,-0.31775349804987507,-0.30335841485726456,-0.2908644579609092,-0.28002428853898237,-0.270543541428962,-0.2621955707932674,-0.2547871813829553,-0.2481446634895238,-0.24217488760402162,-0.23674028096015481,-0.2317929020064764},
+{1.4453705739358438,-0.09164739061711966,-0.48102964425668854,-0.5249859165156058,-0.4874745470219328,-0.44286232642999307,-0.40438939082734404,-0.3684443775559921,-0.3482594619015042,-0.3337192843655771,-0.31765673799764643,-0.3032611794939848,-0.2907695738141439,-0.27993245756091645,-0.27045485697389526,-0.26210992189169185,-0.25470437148698777,-0.24806448073109,-0.24209711827835448,-0.236664739127243,-0.23171940894833593},
+{1.439738641775512,-0.0944499831785903,-0.4822858902676958,-0.5253846006837734,-0.48756228364692883,-0.4428349288120428,-0.4043124054490278,-0.368361660435932,-0.34821204875915834,-0.33363436756104525,-0.31755986442242473,-0.3031638964363194,-0.2906746724253445,-0.27984062593742903,-0.2703661825356158,-0.2620242898720846,-0.2546215830672064,-0.2479843226599704,-0.2420193759206701,-0.2365892259045756,-0.23164594569014646},
+{1.4341118874535852,-0.09724308904338193,-0.4835354943381544,-0.5257799098920581,-0.48764833441203603,-0.4428066339759702,-0.40423467103901345,-0.3682786710414857,-0.3481643805475062,-0.33354916154808933,-0.31746287905257203,-0.3030665667725797,-0.29057975458942276,-0.27974879429820454,-0.27027751863382393,-0.26193867517488595,-0.25453881650635685,-0.24790418961457406,-0.2419416608343185,-0.23651374156699212,-0.23157251248314575},
+{1.4284903366054544,-0.10002673928090763,-0.48477848368604953,-0.526171862737689,-0.4877327101713835,-0.44277744841419797,-0.40415618731312164,-0.3681954116594666,-0.3481164525688616,-0.3334636694649562,-0.31736578360082207,-0.3029691915816588,-0.29048482109451546,-0.27965696326767,-0.2701888657837388,-0.2618530782367265,-0.25445607218383115,-0.2478240819303183,-0.24186397331993914,-0.23643828638684544,-0.23149910957626763},
+{1.4228740146616665,-0.10280096505387756,-0.4860148854379902,-0.5265604777205704,-0.48781542171266806,-0.4427473785763073,-0.4040769541565778,-0.3681118845614988,-0.3480682602531477,-0.3333778944284875,-0.31726857976442524,-0.30287177193312254,-0.2903898727220382,-0.27956513346503825,-0.2701002244961502,-0.26176749949044487,-0.25437335047569753,-0.24774399993964843,-0.24178631367547848,-0.23636286063402973,-0.23142573721616805},
+{1.4172629468488263,-0.10556579761732074,-0.48724472662931123,-0.5269457732437549,-0.48789647975756156,-0.44271643086930434,-0.4039969716292564,-0.3680280920041295,-0.34801979915784736,-0.333291839534126,-0.3171712692252909,-0.30277430888727863,-0.2902949102467359,-0.27947330550434113,-0.2700115952774469,-0.2616819393651189,-0.254290651754733,-0.24766394397206376,-0.24170868219621217,-0.23628746457598437,-0.23135239564724497},
+{1.4116571581905122,-0.10832126831747739,-0.4884680342041883,-0.5273277676139176,-0.4879758949621268,-0.4426846116579368,-0.40391623997026316,-0.3679440362289477,-0.34797106496783653,-0.3332055078559272,-0.3170738536501252,-0.3026768034952717,-0.29019993443673386,-0.27938147999447727,-0.2699229786296493,-0.26159639828609915,-0.2542079763904353,-0.24758391435413898,-0.24163107917476911,-0.23621209847772928,-0.2312790851116489},
+{1.406056673508173,-0.11106740859054906,-0.48968483501573706,-0.5277064790418562,-0.4880536779172191,-0.4426519272649638,-0.4038347596019274,-0.36785971946268975,-0.3479220534950858,-0.33311890244656983,-0.3169763346905681,-0.30257925679914854,-0.29010494605357684,-0.2792896575392313,-0.26983437505043617,-0.2615108766750281,-0.2541253247490579,-0.24750391140954403,-0.24155350490113897,-0.23613676260186184,-0.23120580584930162},
+{1.400461517422039,-0.11380424996132477,-0.49089515582613386,-0.5280819256429423,-0.48812983914889874,-0.44261838397144193,-0.40375253113325865,-0.36777514391735616,-0.3478727606782715,-0.33303202633737705,-0.3168787139833342,-0.30248166983194713,-0.2900099458522868,-0.2791978387373363,-0.2697457850332003,-0.2614253749498843,-0.2540426971936328,-0.24742393545907046,-0.24147595966270774,-0.23606145720860153,-0.2311325580979152},
+{1.3948717143520186,-0.11653182404167078,-0.49209902330671984,-0.5284541254376229,-0.4882043891188344,-0.44258398801702253,-0.40366955536278115,-0.3676903117903223,-0.347823182582258,-0.33294488253834165,-0.3167809931503536,-0.3023840436177687,-0.2899149345813995,-0.27910602418248986,-0.26965720906706014,-0.2613398935249981,-0.2539600940839909,-0.2473439868206509,-0.2413984437442706,-0.23598618255578502,-0.2310593420930127},
+{1.3892872885186003,-0.11925016252890178,-0.49329646403812155,-0.5288230963518844,-0.4882773382246963,-0.4425487456002103,-0.40358583328088404,-0.3676052252644444,-0.34777331539748596,-0.3328574740381479,-0.3166831737988946,-0.30228637917186224,-0.2898199129830049,-0.27901421446340535,-0.2695686476369039,-0.26125443281107874,-0.2538775157767966,-0.24726406580938115,-0.24132095742804854,-0.23591093889889833,-0.23098615806793207},
+{1.383708263943748,-0.12195929720402417,-0.4944875045103654,-0.5291888562177087,-0.4883486968005618,-0.4425126628786634,-0.4035013660716147,-0.3675198865081667,-0.34772315543925947,-0.3327698038042025,-0.31658525752171024,-0.30218867750068584,-0.28972488179279565,-0.2789224101638342,-0.26948010122342086,-0.2611689932152543,-0.25379496262555346,-0.24718417273753784,-0.2412435009937084,-0.23583572649108273,-0.23091300625384753},
+{1.3781346644517962,-0.12465925992985438,-0.4956721711229908,-0.5295514227735774,-0.4884184751173073,-0.44247574596947137,-0.40341615511397033,-0.3674342976756395,-0.347672699146942,-0.3326818747826816,-0.3164872458971698,-0.30209093960200717,-0.2896298417401061,-0.2788306118626223,-0.2693915703031354,-0.26108357514109376,-0.2537124349806572,-0.24710430791461468,-0.24116607471839607,-0.23576054558317355,-0.23083988687980406},
+{1.3725665136703438,-0.12735008264903147,-0.49685049018517197,-0.5299108136648997,-0.48848668338299833,-0.44243800094940783,-0.40333020198271985,-0.36734846090680306,-0.3476219430830502,-0.3325936898985448,-0.3163891404893814,-0.30199316646495267,-0.2895347935479433,-0.2787388201337258,-0.26930305534843674,-0.26099817898862765,-0.2536299331893896,-0.2470244716473204,-0.24108867887673197,-0.23568539642368141,-0.2307668001727004},
+{1.3670038350311384,-0.13003179738190318,-0.49802248791583287,-0.5302670464445093,-0.4885533317432878,-0.4423994338552307,-0.40324350844873114,-0.36726237832751685,-0.347570883932276,-0.3325052520555948,-0.3162909428483332,-0.30189535907009607,-0.2894397379330381,-0.2786470355462605,-0.2692145568276127,-0.26091280515438514,-0.2535474575959602,-0.24694466423962014,-0.24101131374084828,-0.2356102792588509,-0.23069374635733308},
+{1.3614466517709714,-0.13270443622431072,-0.4991881904437748,-0.5306201385731208,-0.48861843028179786,-0.44236005068393197,-0.4031560764789075,-0.3671760520496459,-0.3475195185004224,-0.3324165641365185,-0.3161926545100172,-0.3017975183895314,-0.28934467560587546,-0.27855525866453007,-0.2691260752048803,-0.26082745403141383,-0.253465008541525,-0.24686488599274595,-0.24093397958039958,-0.2355351943326471,-0.23062072565639644},
+{1.3558949869325614,-0.13536803134525927,-0.5003476238077973,-0.5309701074197699,-0.4886819890205086,-0.4423198573930237,-0.4030679082356553,-0.3670894841711725,-0.3474678437132678,-0.3323276290029295,-0.3160942769965597,-0.3016996453869438,-0.2892496072707373,-0.278463490048068,-0.26903761094042306,-0.26074212600931496,-0.25338258636420635,-0.24678513720522,-0.24085667666258526,-0.23546014188678543,-0.23054773829050668},
+{1.3503488633654335,-0.1380226149844915,-0.5015008139568176,-0.5313169702623111,-0.48874401792013605,-0.44227885990080185,-0.40297900607596376,-0.3670026767762937,-0.34741585661534796,-0.33223844949542214,-0.31599581181634906,-0.30160174101767606,-0.2891545336257328,-0.2783717302516642,-0.26894916449041373,-0.26065682147425717,-0.2533001913991245,-0.24670541817287214,-0.24077940525216454,-0.2353851221607472,-0.23047478447821004},
+{1.3448083037268062,-0.1406682194499568,-0.5026477867500044,-0.5316607442878369,-0.48880452688052073,-0.44223706408660046,-0.40288937255013496,-0.36691563193552595,-0.347363554368695,-0.3321490284336285,-0.3158972604641608,-0.3015038062288128,-0.28905945536285055,-0.27827997982540964,-0.2688607363070519,-0.26057154080901757,-0.25321782397841003,-0.24662572918886844,-0.2407021656114804,-0.23531013539179702,-0.2304018644360093},
+{1.3392733304824675,-0.14330487711518514,-0.503788567956897,-0.5320014465931628,-0.4888635257410028,-0.44219447579107946,-0.4027990104001047,-0.36682835170579886,-0.3473109342514935,-0.33205936861627383,-0.31579862442128376,-0.30140584195924475,-0.2889643731679846,-0.27818823931472647,-0.2687723268385963,-0.2604862843929998,-0.25313548443123846,-0.2465460705437273,-0.2406249580004749,-0.2352351818149986,-0.23032897837837202},
+{1.333743965907651,-0.14593262041656901,-0.5049231832575409,-0.5323390941852719,-0.48892102428079826,-0.442151100816456,-0.40270792255748106,-0.3667408381305627,-0.34725799365669807,-0.33196947282122874,-0.31569990515564217,-0.30130784913973496,-0.2888692877209813,-0.2780965092603991,-0.2686839365293899,-0.26040105260226,-0.2530531730838429,-0.2464664425253336,-0.24054778267670185,-0.23516026166322912,-0.23025612651774302},
+{1.3282202320879113,-0.1485514818505606,-0.5060516582426142,-0.5326737039817473,-0.4889770322193678,-0.4421069449267878,-0.4026161121412353,-0.3666530932398758,-0.3472047300905898,-0.3318793438055812,-0.315601104121919,-0.30120982869298896,-0.28877419969567253,-0.2780047901986116,-0.2685955658198883,-0.2603158458095335,-0.2529708902595368,-0.24638684541896674,-0.24047063989535122,-0.23508537516719652,-0.23018330906455964},
+{1.3227021509199939,-0.1511614939707801,-0.5071740184135635,-0.5330052928112634,-0.489031559216796,-0.4420620138482313,-0.40252358245510506,-0.36656511905051115,-0.34715114117129997,-0.3317889843057027,-0.3155022227616835,-0.3011117815337371,-0.2886791097599254,-0.27791308266098813,-0.26850721514670944,-0.2602306643842647,-0.25288863627874775,-0.2463072795073185,-0.2403935299092726,-0.23501052255546223,-0.23011052622728634},
+{1.317189744112708,-0.15376268938504395,-0.5082902891827308,-0.5333338774139856,-0.4890846148741531,-0.44201631326927976,-0.40243033698473396,-0.36647691756604495,-0.3470972246272789,-0.3316983970373033,-0.31540326250349565,-0.30101370856878346,-0.2885840185756742,-0.27782138717461374,-0.26841888494263044,-0.2601455086926214,-0.2528064114590238,-0.24622774507050843,-0.24031645296897536,-0.2349357040544448,-0.23003777821239618},
+{1.3116830331877896,-0.15635510075232212,-0.5094004958734969,-0.5336594744420553,-0.4891362087338725,-0.4419698488410426,-0.4023363793945346,-0.3663884907769567,-0.34704297829574765,-0.3316075846955125,-0.3153042247630476,-0.30091561069708656,-0.28848892679897203,-0.27772970426207644,-0.2683305756366514,-0.26006037909753993,-0.25272421611506535,-0.24614824238611036,-0.24023940932266652,-0.23486091988845065,-0.2299650652244138},
+{1.3061820394807715,-0.15893876077961822,-0.5105046637204138,-0.533982100460022,-0.4891863502801006,-0.44192262617747124,-0.40224171352434707,-0.3662998406607212,-0.34698840012110144,-0.33151654995495217,-0.3152051109432643,-0.30081748880982495,-0.28839383508002114,-0.2776380344415005,-0.2682422876540026,-0.2599752759587208,-0.2526420505587431,-0.24606877172916514,-0.24016239921625204,-0.23478617027967602,-0.229892387465917},
+{1.3006867841418424,-0.1615137022187812,-0.5116028178693418,-0.5343017719452621,-0.489235048939073,-0.44187465085563543,-0.4021463433858623,-0.3662109691819008,-0.3469334881532977,-0.3314252954697994,-0.31510592243442725,-0.3007193437904542,-0.28829874406323547,-0.27754637822657435,-0.26815402141618067,-0.2598901996326845,-0.2525599150991249,-0.2459893333722047,-0.24008542289336088,-0.2347114554482337,-0.22981974513755568},
+{1.2951972881367044,-0.16407995786325807,-0.5126949833775944,-0.5346185052884604,-0.48928231407945827,-0.4418259284159587,-0.40205027315884134,-0.36612187829223924,-0.34687824054621913,-0.3313338238738772,-0.31500666061429444,-0.30062117651478487,-0.28820365438726725,-0.27745473612659033,-0.26806577734098175,-0.2598051504727743,-0.252477810042486,-0.24590992758526475,-0.24000848059536412,-0.23463677561216284,-0.2297471384380622},
+{1.2897135722474404,-0.16663756054478351,-0.513781185214077,-0.5349323167940088,-0.48932815501273375,-0.44177646436246687,-0.4019535071871881,-0.3660325699307525,-0.34682265555602165,-0.3312421377807237,-0.3149073268482029,-0.30052298785104054,-0.28810856668506546,-0.2773631086464711,-0.2679775558425189,-0.25972012882918805,-0.2523957356923422,-0.24583055463591552,-0.23993157256138545,-0.23456213098744133,-0.22967456756427074},
+{1.2842356570733577,-0.16918654313001194,-0.5148614482594279,-0.5352432226804701,-0.48937258099352854,-0.44172626416304117,-0.4018560499748026,-0.36594304602381955,-0.34676673153945964,-0.33115023978367636,-0.31480792248920164,-0.3004247786599251,-0.28801348158391704,-0.2772714962868043,-0.26788935733126584,-0.2596351350490066,-0.25231369234946305,-0.24575121478926434,-0.2398546990283313,-0.23448752178801574,-0.22960203271112803},
+{1.2787635630318503,-0.17172693851710136,-0.51593579730617,-0.5355512390810043,-0.4894156012199771,-0.4416753332496477,-0.40175790618136026,-0.365853308485273,-0.34671046695221147,-0.3310581324559534,-0.3147084488781441,-0.30032654979468254,-0.28791839970549565,-0.27717989954387884,-0.2678011822140735,-0.2595501694762094,-0.25223168031190024,-0.24567190830798885,-0.2397778602308856,-0.23441294822579625,-0.2295295340717107},
+{1.2732973103592482,-0.17425877963224948,-0.5170042570588536,-0.5358563820437872,-0.48945722483407994,-0.44162367701860045,-0.4016590806179049,-0.36576335921648795,-0.3466538603471915,-0.3309658183507428,-0.31460890734381547,-0.3002283021011702,-0.287823321665912,-0.2770883189097092,-0.2677130308942061,-0.2594652324517044,-0.2521496998749955,-0.24559263545234986,-0.23970105640155054,-0.23433841051069312,-0.2294570718372377},
+{1.2678369191116583,-0.1767820994261808,-0.5180668521342033,-0.5361586675324642,-0.4894974609220363,-0.44157130083078433,-0.4015595782423419,-0.36567320010646487,-0.34659691037285245,-0.3308733000012781,-0.3145092992030336,-0.3001300364179048,-0.2877282480757577,-0.27699675487206904,-0.26762490377135617,-0.2593803243133474,-0.25206775133141557,-0.24551339648020193,-0.2396242877706406,-0.23426390885060824,-0.22938464619708088},
+{1.2623824091658231,-0.17929693087060394,-0.5191236070612743,-0.536458111426555,-0.4895363185146046,-0.4415182100119008,-0.40145940415486153,-0.365582833031925,-0.34653961577150233,-0.33078057992093624,-0.314409625760764,-0.30003175357614226,-0.2876331795401611,-0.2769052079145301,-0.2675368012416931,-0.25929544539596905,-0.25198583497116245,-0.24543419164702468,-0.23954755456631827,-0.23418944345147358,-0.2293122573387845},
+{1.256933800219953,-0.18180330695462105,-0.5201745462815947,-0.5367547295218995,-0.4895738065874423,-0.4414644098527094,-0.4013585635932141,-0.3654922598573924,-0.34648197537760494,-0.3306876606033219,-0.31430988831022777,-0.2999334543999274,-0.28753811665883783,-0.27681367851648264,-0.2674487236978693,-0.25921059603140034,-0.2519039510815979,-0.24535502120593583,-0.23947085701460016,-0.2341150145172514,-0.22923990544807893},
+{1.2514911117945744,-0.1843012606811146,-0.5212196941493292,-0.5370485375310775,-0.48960993406144515,-0.4414099056092517,-0.4012570619279867,-0.36540148243527926,-0.34642398811609515,-0.33059454452236237,-0.314210088133007,-0.29983513970616393,-0.28744306002613174,-0.27672216715318054,-0.26736067152906323,-0.259125776548484,-0.25182209994746785,-0.24527588540770412,-0.23939419533937387,-0.2340406222499525,-0.22916759070888898},
+{1.2460543632333652,-0.18679082506310404,-0.5222590749314293,-0.5373395510838154,-0.48964470980309005,-0.4413547025030966,-0.40115490465777137,-0.36531050260597314,-0.346365653000693,-0.33050123413239124,-0.3141102264991495,-0.299736810304662,-0.2873480102310819,-0.2766306742957494,-0.26727264512099536,-0.2590409872731129,-0.25174028185090574,-0.245196784500773,-0.23931756976241253,-0.23396626684965197,-0.22909531330334665},
+{1.240623573703994,-0.18927203312007396,-0.5232927128077918,-0.5376277857274351,-0.48967814262477116,-0.44129880572157293,-0.4010520974042968,-0.36521932219791886,-0.3463069691322349,-0.3304077318682559,-0.31401030466728574,-0.2996384669982161,-0.2872529678574585,-0.27653920041124436,-0.2671846448559625,-0.25895622852824046,-0.25165849707147997,-0.24511771873127602,-0.23924098050339698,-0.23389194851450457,-0.22902307341181743},
+{1.2351987621989504,-0.19174491787428663,-0.524320631871415,-0.5379132569272429,-0.4897102412851347,-0.4412422204179859,-0.40094864590753765,-0.3651279430277009,-0.3462479356969955,-0.33031404014539806,-0.31391032388471035,-0.2995401105826433,-0.28715793348382157,-0.2764477459626622,-0.2670966711128617,-0.2588715006339093,-0.2515767458861786,-0.2450386883430558,-0.23916442777992253,-0.2338176674407519,-0.22895087121289598},
+{1.2297799475363815,-0.19420951234707456,-0.5253428561285616,-0.5381959800669728,-0.48974101448941965,-0.4411849517118675,-0.4008445560207766,-0.3650363669001314,-0.34618855196504755,-0.3302201613599601,-0.31381028538751643,-0.299441741846863,-0.28706290768357623,-0.2763563114089768,-0.2670087242672147,-0.2587868039072714,-0.2514950285694646,-0.244959693577678,-0.239087911807528,-0.23374342382274943,-0.22887870688343115},
+{1.2243671483609175,-0.1966658495551215,-0.5263594094989218,-0.5384759704491916,-0.4897704708897769,-0.44112700468917987,-0.4007398337056837,-0.3649445956083258,-0.34612881728860834,-0.3301260978888812,-0.3137101904006714,-0.2993433615729419,-0.2869678910250144,-0.27626489720516695,-0.26692080469119606,-0.2587021386626159,-0.2514133453932693,-0.24488073467445273,-0.2390114327996925,-0.2336692178529729,-0.2288065805985389},
+{1.2189603831444993,-0.19911396250673136,-0.5273703158157743,-0.5387532432956926,-0.489798619085611,-0.44106838440256,-0.40063448502736754,-0.3648526309337861,-0.34606873110041225,-0.33003185208998687,-0.31361004013812904,-0.29924497053615107,-0.28687288407137707,-0.27617350380225447,-0.26683291275365906,-0.258617505211377,-0.2513316966270194,-0.24480181187044575,-0.23893499096786686,-0.23359504972202633,-0.22873449253160447},
+{1.2135596701872065,-0.20155388419809456,-0.5283755988261563,-0.5390278137479481,-0.4898254676238961,-0.44100909587154047,-0.4005285161494317,-0.36476047464648276,-0.3460082929121006,-0.32993742630210343,-0.313509835802931,-0.29914656950503293,-0.2867778873808957,-0.2760821316473225,-0.26674504882016326,-0.2585329038621682,-0.2512500825376602,-0.24472292540050156,-0.23885858652147834,-0.23352091961866844,-0.22866244285430615},
+{1.2081650276180713,-0.20398564760954563,-0.5293752821910248,-0.5392996968674763,-0.48985102499950983,-0.44094914408275976,-0.40042193332906795,-0.36466812850493097,-0.34594750231261495,-0.3298428228451479,-0.31340957858730556,-0.29904815924144673,-0.28668290150685044,-0.275990781183549,-0.2666572132529933,-0.25844833492079994,-0.25116850338966923,-0.24464407549725503,-0.23878221966795588,-0.23344682772981915,-0.2285904317366273},
+{1.2027764733959079,-0.20640928570182615,-0.5303693894854298,-0.5395689076362798,-0.48987529965555693,-0.4408885339902075,-0.4003147429121386,-0.3645755942562743,-0.34588635896662423,-0.32974804402023217,-0.31330926967276573,-0.29894974050063594,-0.2865879269976246,-0.27589945285024425,-0.266569406411194,-0.2583637986903073,-0.25108695944507986,-0.24456526239115906,-0.23870589061273845,-0.23337277424057712,-0.22851845934686488},
+{1.1973940253101225,-0.20882483141234784,-0.531357944198685,-0.5398354609572418,-0.4898982999836814,-0.44082727051541104,-0.4002069513283194,-0.3644828736363593,-0.34582486261295,-0.3296530921097714,-0.31320891023020386,-0.2988513140312747,-0.28649296439673977,-0.2758081470828664,-0.2664816286505877,-0.25827929547095885,-0.25100545096349286,-0.24448648631048184,-0.23862959955928625,-0.23329875933422933,-0.22844652585164063},
+{1.19201770098153,-0.21123231765146233,-0.5323409697345365,-0.5400993716545114,-0.4899200343243915,-0.4407653585476812,-0.40009856508626285,-0.36438996836981263,-0.34576301306301843,-0.3295579693775732,-0.31310850141999325,-0.29875288057552085,-0.28639801424292344,-0.2757168643130543,-0.26639388032379785,-0.2581948255602838,-0.250923978202097,-0.24440774748133626,-0.23855334670910033,-0.2332247831922643,-0.22837463141591668},
+{1.1866475178631697,-0.21363177729874655,-0.5333184894113446,-0.5403606544739449,-0.489940510967378,-0.44070280294432207,-0.3999895907688026,-0.36429688017012263,-0.345700810199337,-0.32946267806896423,-0.31300804439208385,-0.2986544408690908,-0.28630307707014846,-0.2756256049686691,-0.26630616178028976,-0.2581103892530963,-0.25084254141569917,-0.244329046127701,-0.238477132261747,-0.23315084599439728,-0.2283027762030159},
+{1.1812834932411103,-0.2160232431992874,-0.5342905264622485,-0.5406193240834613,-0.48995973815182686,-0.44063960853083184,-0.39988003502822483,-0.36420361073970653,-0.34563825397397135,-0.3293672204108706,-0.31290754028608553,-0.2985559956412802,-0.28620815340768546,-0.2755343694737976,-0.2662184733663664,-0.2580259868415123,-0.25076114085672235,-0.24425038247141945,-0.2384009564148497,-0.23307694791855965,-0.22823096037461693},
+{1.1759256442352577,-0.21840674815999617,-0.5352571040353529,-0.5408753950734777,-0.4899777240667348,-0.4405757801011434,-0.3997699045815646,-0.3641101617699991,-0.3455753444070641,-0.3292715986119414,-0.31280699023138725,-0.2984575456150499,-0.28611324378015274,-0.2754431582488083,-0.26613081542522493,-0.2579416186149717,-0.25067977677523656,-0.24417175673223263,-0.23832481936412675,-0.23300308914094062,-0.22815918409077807},
+{1.170573987800165,-0.22078232494593264,-0.536218245193903,-0.5411288819572917,-0.48999447685121617,-0.4405113224178019,-0.399659206205998,-0.36401653494151354,-0.34551208158534674,-0.3291758148626499,-0.31270639534721667,-0.29835909150706114,-0.28601834870755866,-0.27535197171035575,-0.26604318829695395,-0.25785728486025306,-0.250598449418974,-0.2440931691277854,-0.23824872130338853,-0.23292926983598156,-0.22808744750994675},
+{1.1652285407258292,-0.2231500062766496,-0.5371739729164645,-0.5413797991714576,-0.4900100045948165,-0.44044624021220224,-0.3995479467342818,-0.363922731923925,-0.3454484656606932,-0.3290798713353944,-0.3126057567427609,-0.298260634027728,-0.28592346870535634,-0.27526081027142335,-0.2659555923185746,-0.2577729858615076,-0.2505171590333505,-0.24401461987364553,-0.23817266242455784,-0.23285549017639368,-0.22801575078897512},
+{1.1598893196384956,-0.2255098248225682,-0.5381243100971086,-0.54162816107622,-0.4900243153378146,-0.4403805381847912,-0.3994361330502463,-0.36382875437614204,-0.34538449684867717,-0.3289837701846199,-0.31250507551724416,-0.29816217388127897,-0.28582860428448775,-0.27516967434134354,-0.26586802782405755,-0.2576887219002621,-0.25043590586147024,-0.2439361091833186,-0.23809664291769034,-0.23278175033317078,-0.22794409408312014},
+{1.1545563410014505,-0.22786181320136922,-0.5390692795455931,-0.541873981955861,-0.4900374170715336,-0.4403142210052652,-0.3993237720844054,-0.36373460394637513,-0.3453201754271581,-0.3288875135469078,-0.3124043527600151,-0.2980637117658011,-0.2857337559514288,-0.2750785643258294,-0.26578049514434243,-0.25760449325545165,-0.2503546901441589,-0.2438576372682604,-0.23802066297097862,-0.2327080504756024,-0.22787247754607612},
+{1.149229621115822,-0.23020600397442004,-0.5400089039875482,-0.5421172760191237,-0.49004931773864263,-0.4402472933127927,-0.3992108708095856,-0.36364028227221756,-0.3452555017348785,-0.32879110354110186,-0.312303589550649,-0.2979652483732964,-0.2856389242082347,-0.2749874806270023,-0.2656929946073733,-0.257520300203432,-0.25027351211997634,-0.24377920433790123,-0.23794472277077194,-0.23263439077129416,-0.22780090132995917},
+{1.1439091761213698,-0.23254242964322913,-0.5409432060646628,-0.5423580573995869,-0.4900600252334542,-0.44017975971619905,-0.3990974362366953,-0.36354579098070844,-0.3451904761700861,-0.3286945422684045,-0.3122027869590251,-0.2978667843897219,-0.2855441095525849,-0.27489642364341027,-0.26560552653810743,-0.25743614301800466,-0.25019237202522004,-0.2437008105996491,-0.2378688225015862,-0.2325607713861621,-0.22772936558534188},
+{1.1385950219972745,-0.2348711226459344,-0.5418722083348769,-0.5425963401560346,-0.4900695474022307,-0.4401116247941886,-0.3989834754105414,-0.36345113168841087,-0.3451250991891738,-0.328597831812497,-0.31210194604541786,-0.29776832049505986,-0.28544931247783006,-0.27480539377007024,-0.26551809125855635,-0.25735202197043544,-0.25011127009397166,-0.24362245625891582,-0.23779296234612413,-0.23248719248446514,-0.2276578704612558},
+{1.1332871745629274,-0.23719211535382584,-0.5427959332725657,-0.5428321382728756,-0.4900778920434712,-0.4400428930955348,-0.39886899540572285,-0.3633563060014735,-0.34505937130532816,-0.32850097423963764,-0.3120010678605812,-0.2976698573633428,-0.28535453347302947,-0.27471439139847376,-0.2654306890877792,-0.2572679373294605,-0.25003020655807345,-0.24354414151911974,-0.2377171424852791,-0.2324136542288026,-0.22758641610520275},
+{1.1279856494787142,-0.23950544006790514,-0.5437144032687351,-0.5430654656604843,-0.4900850669082203,-0.439973569139281,-0.39875400332265765,-0.36326131551571017,-0.3449932930872184,-0.32840397159878226,-0.3119001534458403,-0.2975713956627224,-0.28525977302299765,-0.27462341691663855,-0.2653433203419429,-0.2571838893613322,-0.24994918164718766,-0.24346586658171654,-0.23764136309815972,-0.23234015678013736,-0.22751500266316235},
+{1.1226904622468004,-0.24181112901548485,-0.5446276406312096,-0.5432963361556196,-0.49009107970035426,-0.4399036574149502,-0.3986385062836419,-0.36316616181666705,-0.344926865157686,-0.3283068259216888,-0.3117992038331774,-0.2974729360555106,-0.2851650316083503,-0.2745324707091156,-0.2652559853343132,-0.25709987832981507,-0.24986819558878298,-0.24338763164620186,-0.2375656243620951,-0.23226670029780364,-0.227443630279616},
+{1.1174016282119072,-0.24410921434682897,-0.5455356675848343,-0.5435247635217815,-0.4900959380768731,-0.4398331623827222,-0.3985225114290521,-0.363070846479681,-0.34486008819245323,-0.32820953922303153,-0.3116982200453029,-0.29737447919823023,-0.28507030970553265,-0.27444155315702023,-0.2651686843752955,-0.2570159044962093,-0.2497872486081647,-0.24330943691012735,-0.2374899264526534,-0.23219328493951286,-0.22737229909754172},
+{1.1121191625620948,-0.24639972813183614,-0.5464385062716659,-0.5437507614495816,-0.49009964964819763,-0.4397620884736534,-0.3984060259136132,-0.3629753710699683,-0.3447929629188603,-0.3281121135005092,-0.3115972030957572,-0.29727602574165873,-0.2849756077868757,-0.2743506646380658,-0.2650814177724469,-0.25693196811938124,-0.24970634092847954,-0.2432312825691174,-0.23741426954364853,-0.23211991086138078,-0.2273010092584331},
+{1.1068430803295326,-0.24868270235676404,-0.547336178751166,-0.5439743435571415,-0.4901022219784388,-0.4396904400898496,-0.39828905690274935,-0.3628797371426666,-0.34472549011460507,-0.3280145507349539,-0.31149615398897607,-0.29717757633087827,-0.28488092632061807,-0.2742598055265722,-0.26499418583050344,-0.25684806945576344,-0.24962547277075228,-0.24315316881688506,-0.23733865380715738,-0.23204657821792565,-0.2272297609023161},
+{1.1015733963912768,-0.2509581689210056,-0.5482287070004076,-0.5441955233904396,-0.49010366258571136,-0.4396182216046757,-0.3981716115690757,-0.3627839462429223,-0.3446576706065226,-0.32791685289044925,-0.3113950737203854,-0.2970791316053263,-0.284786265770959,-0.2741689761935108,-0.2649069888513971,-0.25676420875938666,-0.24954464435387985,-0.2430750958452465,-0.23726307941353714,-0.2319732871620792,-0.22715855416775088},
+{1.0963101254700385,-0.25322615963390754,-0.5491161129142683,-0.5444143144237101,-0.4901039789424013,-0.43954543736294316,-0.39805369708892957,-0.3626879999059512,-0.34458950526936327,-0.3278190219144357,-0.31129396327648273,-0.29698069219883594,-0.28469162659809544,-0.2740781770065209,-0.2648198271342852,-0.2566803862818998,-0.2494638558946604,-0.24299706384412967,-0.23718754653143193,-0.2319000378452164,-0.227087389191843},
+{1.0910532821349501,-0.2554867062116408,-0.5499984183056355,-0.5446307300597958,-0.4901031784754486,-0.4394720916810918,-0.39793532063904363,-0.36259189965709937,-0.34452099502459027,-0.3277210597378321,-0.3111928236349037,-0.29688225873969315,-0.28459700925824993,-0.2739874083299307,-0.2647327009755628,-0.2565966022725741,-0.2493831076078079,-0.24291907300159227,-0.23711205532778978,-0.23182683041714824,-0.22701626611026002},
+{1.0858028808023352,-0.25773984027412133,-0.5508756449056073,-0.544844783630505,-0.4901012685666372,-0.43939818884739124,-0.3978164893932927,-0.36249564701191517,-0.34445214083920683,-0.32762296827512866,-0.31109165576451653,-0.29678383185066326,-0.28450241420371297,-0.2738966705247914,-0.26464561066889253,-0.25651285697833615,-0.24930239970595924,-0.2428411235038347,-0.2370366059678669,-0.23175366502613753,-0.22694518505723923},
+{1.0805589357364678,-0.25998559334197996,-0.5517478143636952,-0.5450564883970112,-0.49009825655286293,-0.439323733122124,-0.3976972105195322,-0.36239924347620855,-0.34438294372458306,-0.3275247494245149,-0.31099046062549085,-0.2966854121490588,-0.2844078418828805,-0.273805963948894,-0.2645585565052127,-0.2564291506437702,-0.2492217323997037,-0.2427632155352195,-0.2369611986152479,-0.23168054181891684,-0.22687414616559412},
+{1.0753214610503345,-0.262223996833589,-0.5526149482480304,-0.5452658575501791,-0.49009414972642346,-0.43924872873776705,-0.39757749117656366,-0.36230269054611797,-0.3443134047353144,-0.3274264050679858,-0.3108892391693836,-0.29658700024676643,-0.28431329274028594,-0.27371528895679875,-0.26447153877277546,-0.25634548351114916,-0.24914110589758243,-0.24268534927827512,-0.23688583343186403,-0.2316074609406955,-0.22680314956673597},
+{1.0700904707063923,-0.2644550820621385,-0.5534770680455676,-0.5454729042109616,-0.49008895533528585,-0.4391731798991935,-0.397457338511153,-0.3622059897081758,-0.34424352496809146,-0.3273279370714551,-0.3107879923392123,-0.2964885967503059,-0.2842187672166403,-0.2736246458998604,-0.26438455775715414,-0.2562618558204553,-0.24906052040612375,-0.2426075249137175,-0.23681051057799565,-0.23153442253517104,-0.22673219539067288},
+{1.0648659785173251,-0.26667888023277175,-0.554334195162296,-0.545677641430744,-0.4900826805833628,-0.4390970907838296,-0.3973367596551859,-0.3621091424393725,-0.3441733055605811,-0.32722934728486197,-0.31068672106952605,-0.29639020226086427,-0.28412426574885263,-0.27353403512624697,-0.2642976137412689,-0.256178267809379,-0.24897997612983758,-0.24252974262046006,-0.23673523021228088,-0.2314614267445445,-0.22666128376601857},
+{1.0596479981467948,-0.2688954224397734,-0.5551863509234438,-0.5458800821916874,-0.4900753326307854,-0.43902046554186314,-0.3972157617228962,-0.3620121502072076,-0.344102747690328,-0.3271306375422868,-0.31058542628649205,-0.2962918173743389,-0.28402978877008167,-0.2734434569809682,-0.2642107070054035,-0.2560947197133502,-0.2488994732712394,-0.24245200257562247,-0.2366599924917398,-0.23138847370952056,-0.22659041482002223},
+{1.0544365431101934,-0.2711047396638193,-0.5560335565736929,-0.5460802394071302,-0.4900669185941711,-0.4389433082964153,-0.3970943518081905,-0.3619150144697725,-0.34403185257368135,-0.3270318096620666,-0.31048410890796724,-0.29619344268139497,-0.2839353367097567,-0.2733529118059035,-0.26412383782723553,-0.25601121176555763,-0.24881901203087492,-0.2423743049545622,-0.23658479757178658,-0.2313155635693333,-0.2265195886785542},
+{1.0492316267753927,-0.27330686276927396,-0.55687583327738,-0.5462781259218923,-0.4900574455468963,-0.43886562314371347,-0.39697253698207935,-0.36181773667579176,-0.3439606214647142,-0.3269328654468939,-0.31038276984356244,-0.2960950787674874,-0.2838409099936072,-0.2732623999398099,-0.2640370064818394,-0.25592774419695075,-0.2487385926073174,-0.2422966499308617,-0.2365096456062267,-0.23124269646174278,-0.226448805466135},
+{1.044033262363485,-0.2755018225015622,-0.5577132021187192,-0.5464737545126727,-0.4900469205193656,-0.43878741415329026,-0.396850324290176,-0.3617203182646986,-0.34388905565418576,-0.32683380668394063,-0.3102814099947342,-0.29599672621292394,-0.2837465090437041,-0.2731719217183676,-0.26395021324172385,-0.25584431723627443,-0.24865821519719616,-0.2422190376763637,-0.23643453674728254,-0.23116987252306154,-0.22637806530593194},
+{1.0388414629495337,-0.2776896494845839,-0.5585456841020107,-0.5466671378883828,-0.49003535049926855,-0.43870868536813146,-0.39672772075032736,-0.36162276066669,-0.3438171564684985,-0.32673463514496226,-0.31018003025484503,-0.2958983855928945,-0.28365213427848385,-0.27308147747418765,-0.26386345837684166,-0.2557609311100739,-0.2485778799952004,-0.24214146836117037,-0.23635947114560318,-0.23109709188815192,-0.2263073683197764},
+{1.0336562414633066,-0.27987037421819755,-0.5593733001518482,-0.5468582886904814,-0.49002274243185534,-0.43862944080488103,-0.39660473335030233,-0.36152506530278616,-0.34374492526868006,-0.3266353525864103,-0.3100786315092326,-0.2958000574775177,-0.2835577861127839,-0.2729910675368402,-0.26377674215460956,-0.2556775860427215,-0.24849758719410292,-0.24206394215366625,-0.23628444895026976,-0.23102435469044275,-0.22623671462817876},
+{1.0284776106900189,-0.28204402707576587,-0.5601960711133465,-0.547047219493363,-0.49000910322018304,-0.43854968445400194,-0.3964813690455725,-0.36142723358489115,-0.34367236344937757,-0.32653596074954483,-0.30997721463529593,-0.2957017424318784,-0.28346346495786184,-0.27290069223287783,-0.26369006483993174,-0.2555942822564196,-0.24841733698477286,-0.24198645922051842,-0.23620947030881684,-0.23095166106193749,-0.2261661043503252},
+{1.0233055832710676,-0.2842106383017542,-0.5610140177523425,-0.5472339428046661,-0.48999443972539275,-0.43846942027994934,-0.3963576347572161,-0.36132926691585554,-0.3435994724378724,-0.3264364613605426,-0.30987578050254794,-0.29560344101607655,-0.28336917122143956,-0.27281035188585767,-0.263603426695215,-0.25551101997122555,-0.2483371295561828,-0.24190901972670678,-0.23613453536723528,-0.23087901113323128,-0.22609553760410334},
+{1.018140171704764,-0.2863702380093968,-0.5618271607556236,-0.5474184710656469,-0.48997875876696106,-0.43838865222135404,-0.39623353736984795,-0.361231166689529,-0.3435262536930984,-0.3263368561306061,-0.3097743299727034,-0.2955051537852618,-0.2832749053077164,-0.272720046816364,-0.26351682798038945,-0.25542779940507154,-0.2482569650954331,-0.24183162383551987,-0.23605964426998755,-0.23080640503351085,-0.2260250145060937},
+{1.0129813883470669,-0.28852285617842227,-0.5626355207311384,-0.5476008166515135,-0.48996206712295476,-0.4383073841911769,-0.3961090837297108,-0.36113293429082705,-0.3434527087046902,-0.32623714675607973,-0.3096728638997353,-0.2954068812896759,-0.28318066761741356,-0.27262977734203064,-0.2634302689529287,-0.2553446207737685,-0.24817684378775728,-0.24175427170857783,-0.2359847971600212,-0.23073384289057305,-0.22595453517159467},
+{1.007829245412309,-0.2906685226528418,-0.5634391182082203,-0.5477809918717539,-0.48994437153029324,-0.43822562007689847,-0.39598428064279056,-0.36103457109578135,-0.343378838992032,-0.3261373349185536,-0.30957138312995014,-0.2953086240746924,-0.28308645854778597,-0.2725395437775699,-0.26334374986787007,-0.25526148429104034,-0.24809676581654008,-0.24167696350584278,-0.23590999417877695,-0.23066132483083449,-0.22588409971463533},
+{1.0026837549739216,-0.2928072671388006,-0.5642379736377993,-0.5479590089705098,-0.4899256786849923,-0.4381433637406734,-0.3958591348730329,-0.36093607847159814,-0.34330464610332206,-0.3260374222849757,-0.30946988850205176,-0.2952103826808593,-0.28299227849266184,-0.27244934643477847,-0.26325727097782525,-0.2551783901685153,-0.2480167313633333,-0.24159969938562517,-0.2358352354661962,-0.23058885097933823,-0.22581370824795843},
+{0.9975449289651606,-0.2949391192024844,-0.5650321073926292,-0.5481348801268787,-0.4899059952424263,-0.43806061901950666,-0.3957336531406682,-0.3608374577767197,-0.34323013161466864,-0.3259374105077686,-0.30936838084721163,-0.2951121576439278,-0.2828981278424604,-0.2723591856225798,-0.2631708325330064,-0.2550953386157677,-0.2479367406078636,-0.24152247950461042,-0.23576052116074292,-0.23051642145976894,-0.22574336088307623},
+{0.9924127791798267,-0.29706410826810203,-0.5658215397675023,-0.5483086174552836,-0.4898853278175778,-0.437977389725419,-0.39560784212056893,-0.360738710360881,-0.34315529712918125,-0.325837301224924,-0.3092668609891381,-0.2950139494949094,-0.282804006984228,-0.2722690616470279,-0.2630844347812426,-0.25501232984031785,-0.24785679372805353,-0.24144530401785325,-0.2356858513994075,-0.23044403639445954,-0.2256730577302276},
+{0.987287317272984,-0.2991822636159176,-0.5666062909794766,-0.5484802330057926,-0.4898636829852805,-0.43789367964560316,-0.3954817084407282,-0.36063983756516005,-0.34308014427607936,-0.325737096060133,-0.30916532974413724,-0.2949157587601005,-0.28270991630165354,-0.2721789748113455,-0.2629980779680001,-0.25492936404764494,-0.24777689090003038,-0.2413681730788017,-0.23561122631771889,-0.23037169590439444,-0.2256027988984248},
+{0.9821685547616736,-0.3012936143803522,-0.5673863811680939,-0.5486497387644418,-0.48984106728047233,-0.4378094925426063,-0.3953552586807964,-0.36054084072203685,-0.34300467470982077,-0.32563679662287676,-0.3090637879211752,-0.29481758596112184,-0.2826158561751034,-0.2720889254159338,-0.26291176233639413,-0.25484644144121593,-0.2476970322981321,-0.24129108683930545,-0.2355366460497527,-0.23029940010924152,-0.22553258449544994},
+{0.9770565030256305,-0.303398189548148,-0.568161830395606,-0.5488171466536048,-0.48981748719844004,-0.4377248321544826,-0.3952284993706925,-0.3604417211554579,-0.34292889010924854,-0.32553640450856114,-0.308962236321962,-0.2947194316149675,-0.28252182698163925,-0.27199891375839824,-0.2628254881272133,-0.25476356222249186,-0.24761721809494452,-0.2412140454496322,-0.23546211072814935,-0.23022714912733871,-0.22546241462786581},
+{0.9719511733079924,-0.3054960179565894,-0.5689326586471932,-0.5489824685322792,-0.48979294919506305,-0.43763970219495063,-0.3951014369892935,-0.360342480180869,-0.3428527921767311,-0.3254359212986047,-0.3088606757409884,-0.29462129623402267,-0.2824278290950479,-0.2719089401335638,-0.2627392555789316,-0.2546807265909417,-0.24753744846128234,-0.24113704905847316,-0.23538762048411527,-0.23015494307571055,-0.22539228940102296},
+{0.9668525767160103,-0.30758712829179524,-0.5696988858311901,-0.5491457161964506,-0.48976745968705965,-0.43755410635356895,-0.3949740779631875,-0.36024311910529555,-0.3427763826373392,-0.3253353485605574,-0.3087591069656107,-0.294523180326125,-0.28233386288586404,-0.2718190048335146,-0.2626530649277348,-0.254597934744066,-0.24745772356623139,-0.24106009781295573,-0.2353131754474404,-0.23008278207009264,-0.2253222089190708},
+{0.9617607242217505,-0.30967154908706573,-0.5704605317793168,-0.549306901379411,-0.4897410250522211,-0.4374680482958793,-0.3948464286655186,-0.3601436392273894,-0.3426996632380261,-0.32523468784822507,-0.30865753077610497,-0.2944250843945868,-0.282239928721394,-0.2717291081475864,-0.26256691640752533,-0.25451518687740265,-0.2473780435771423,-0.240983191858658,-0.23523877574651517,-0.23001066622491767,-0.2252521732849685},
+{0.9566756266628044,-0.3117493087212964,-0.5712176162468952,-0.5494660357520624,-0.4897136516296603,-0.4373815316635797,-0.3947184954148826,-0.360044041837521,-0.34262263574681584,-0.32513394070176016,-0.30855594794572877,-0.2943270089382296,-0.28214602696573987,-0.2716392503624137,-0.26248081024995135,-0.2544324831845422,-0.24729840865964833,-0.2409063313396225,-0.23516442150831834,-0.22993859565334196,-0.22518218260048958},
+{0.9515972947429832,-0.31382043541744964,-0.571970158913079,-0.5496231309232842,-0.48968534572004196,-0.4372945600746745,-0.39459028447428013,-0.3599443282179213,-0.34254530195201993,-0.32503310864779045,-0.30845435924078635,-0.29422895445143077,-0.2820521579798204,-0.2715494317619363,-0.26239474668441687,-0.25434982385715066,-0.24721881897768455,-0.24082951639835753,-0.23509011285845005,-0.22986657046724546,-0.22511223696622912},
+{0.9465257390330211,-0.3158849572410921,-0.5727181793810807,-0.549778198440213,-0.4896561135858287,-0.43720713712362946,-0.3944618020501695,-0.35984449964298776,-0.3424676636614453,-0.3249321931995224,-0.3083527654206899,-0.29413092142414876,-0.28195832212140515,-0.27145965262742094,-0.2623087259381002,-0.25426720908497813,-0.2471392746934971,-0.2407527471758632,-0.23501584992113778,-0.22979459077725484,-0.22504233648162641},
+{0.9414609699712705,-0.31794290209899145,-0.5734616971783955,-0.5499312497886004,-0.4896259614515088,-0.43711926638154297,-0.39433305429154575,-0.3597445573798521,-0.3423897227016476,-0.3248311958568584,-0.3082511672380148,-0.2940329103419748,-0.2818645197451209,-0.2713699132374898,-0.26222274823597713,-0.25418463905587285,-0.24705977596764842,-0.24067602381163314,-0.23494163281923605,-0.22972265669273437,-0.22497248124495772},
+{0.9364029978643928,-0.31999429773777127,-0.5742007317570319,-0.5500822963931117,-0.4895948955038316,-0.4370309513962734,-0.3942040472891052,-0.3596445026894557,-0.34231148091715874,-0.3247301181065051,-0.3081495654385671,-0.2939349216861523,-0.2817707512024842,-0.2712802138681276,-0.26213681380082426,-0.2541021139557983,-0.2469803229590411,-0.2405993464436671,-0.23486746167424338,-0.2296507683218146,-0.22490267135334197},
+{0.9313518328880562,-0.32203917174263247,-0.5749353024937373,-0.5502313496176371,-0.48956292189204426,-0.4369421956926163,-0.3940747870744705,-0.3595443368283582,-0.34223294016975864,-0.3246289614220872,-0.3080479607614356,-0.2938369559336132,-0.2816770168419272,-0.27119055479271004,-0.2620509228532492,-0.25401963396884436,-0.24690091582491797,-0.2405227152084784,-0.2347933366063198,-0.22957892577138203,-0.2248329069027751},
+{0.9263074850876163,-0.3240775515361304,-0.5756654286902286,-0.5503784207656445,-0.4895300467281133,-0.43685300277244893,-0.3939452796194524,-0.35944406105163773,-0.3421541023377479,-0.3245277272642609,-0.3079463539390608,-0.2937390135570269,-0.2815833170088089,-0.27110093628203064,-0.26196507561169813,-0.25393719927724645,-0.24682155472089157,-0.24044613024111977,-0.23471925773428126,-0.2295071291471025,-0.22476318798811107},
+{0.9212699643788114,-0.32610946437701116,-0.5763911295734162,-0.5505235210804444,-0.4894962760869675,-0.43676337611487576,-0.39381553083540005,-0.35934367661718614,-0.34207496931522474,-0.3244264170808179,-0.30784474569727505,-0.29364109502481867,-0.28148965204544674,-0.2710113586042969,-0.26187927229248037,-0.25385481006139055,-0.2467422398009376,-0.24036959167517402,-0.2346452251756257,-0.22943537855343119,-0.22469351470308124},
+{0.9162392805484358,-0.3281349373591109,-0.5771124242956357,-0.550666661745554,-0.48946161600671695,-0.43667331917639374,-0.3936855465725704,-0.35924318479177775,-0.34199554301139706,-0.32432503230680826,-0.3077431367553855,-0.2935432008012159,-0.28139602229113064,-0.2709218220251829,-0.2617935131097751,-0.25377246649983964,-0.24666297121742103,-0.240293099642784,-0.23457123904652727,-0.2293636740936103,-0.2246238871402997},
+{0.9112154432550318,-0.3301539974103099,-0.5778293319348804,-0.5508078538849766,-0.4894260724888776,-0.43658283539101783,-0.3935553326195884,-0.3591425868592067,-0.3419158253498841,-0.32422357436463783,-0.3076415278262085,-0.2934453313462753,-0.2813024280821494,-0.27083232680781555,-0.26170779827565266,-0.2536901687693361,-0.2465837491210992,-0.24021665427464367,-0.23449729946185904,-0.22929201586968354,-0.22455430539127835},
+{0.9061984620295634,-0.33216667129154653,-0.5785418714950241,-0.5509471085635124,-0.48938965149860425,-0.436491928170455,-0.39342489470294256,-0.35904188413075866,-0.3418358182680392,-0.32412204466418704,-0.3075399196161356,-0.2933474871159165,-0.2812088697518151,-0.2707428732128191,-0.26162212800009327,-0.2536079170448238,-0.24650457366114076,-0.2401402557000304,-0.23442340653519883,-0.2292204039825178,-0.22448476954643448},
+{0.9011883462760923,-0.3341729855958894,-0.5792500619060568,-0.5510844367870944,-0.4893523589649089,-0.43640060090423477,-0.39329423848651063,-0.358941077958182,-0.34175552371629425,-0.3240204446029178,-0.30743831282519607,-0.29324966856195944,-0.2811153476304713,-0.2706534614983215,-0.2615365024909985,-0.2535257114994527,-0.2464254449851297,-0.2400639040468,-0.2343495603788337,-0.22914883853178125,-0.22441527969508218},
+{0.8961851052724552,-0.33617296674766667,-0.579953922024309,-0.5512198495030618,-0.48931420078088433,-0.43630885695986005,-0.3931633695711784,-0.35884016974924454,-0.3416749436574982,-0.32391877556597615,-0.30733670814709546,-0.29315187613215143,-0.28102186204552937,-0.270564091919976,-0.2614509219542074,-0.2534435523046043,-0.24634636323909043,-0.23998759944140485,-0.23427576110377912,-0.2290773196159944,-0.2243458359254683},
+{0.8911887481709315,-0.3381666410016473,-0.5806534706326869,-0.5513533576004935,-0.48927518280392623,-0.43621669968295657,-0.3930322934944568,-0.35873916098581776,-0.3415940800662829,-0.32381703892630664,-0.3072351062692887,-0.2930541102702079,-0.2809284133214766,-0.2704747647309828,-0.2613653865935126,-0.25336143962988944,-0.24626732856747774,-0.23991134200889747,-0.23420200881977388,-0.22900584733249307,-0.22427643832474775},
+{0.8861992839989175,-0.3401540344422844,-0.5813487264409007,-0.5514849719105035,-0.4892353108559492,-0.436124132397405,-0.3929010157301894,-0.35863805324438536,-0.34151293492843415,-0.32371523604474856,-0.3071335078730256,-0.2929563714158433,-0.2808350017799051,-0.27038548018210523,-0.2612798966106766,-0.2532793736431811,-0.2461883411132147,-0.23983513187294547,-0.23412830363530956,-0.22893442177747472,-0.2242070869790167},
+{0.8812167216595861,-0.34213517298301005,-0.5820397080856976,-0.5516147032065287,-0.48919459072361116,-0.4360311584055015,-0.3927695416882798,-0.35853684821869525,-0.3414315102402816,-0.3236133682701537,-0.307031913633402,-0.292858660004792,-0.28074162773952727,-0.2702962385216836,-0.2611944522054514,-0.2531973545106072,-0.24610940101768183,-0.23975896915585201,-0.23405464565762485,-0.2288630430459873,-0.2241377819733209},
+{0.8762410699325629,-0.344110082365588,-0.582726434131087,-0.5517425622046613,-0.48915302815852396,-0.43593778098808333,-0.3926378767144521,-0.35843554774424763,-0.3413498080080803,-0.3235114369394794,-0.30693032421941924,-0.2927609764688588,-0.28064829151619475,-0.2702070399956658,-0.26110905357558467,-0.25311538239657927,-0.24603050842074148,-0.23968285397854153,-0.23398103499271278,-0.22879171123194125,-0.22406852339164374},
+{0.8712723374745724,-0.3460787881595103,-0.5834089230685782,-0.5518685595639166,-0.4891106288774705,-0.4358440034046802,-0.39250602609008634,-0.35833415382420924,-0.34126783024743856,-0.3234094433778926,-0.3068287402940312,-0.29266332123593075,-0.28055499342292317,-0.2701178848476158,-0.26102370091683913,-0.2530334574637958,-0.2459516634607455,-0.2396067864605946,-0.23390747174534587,-0.22872042642812113,-0.22399931131692843},
+{0.8663105328201118,-0.3480413157614618,-0.5840871933174064,-0.5519927058865595,-0.4890673985626228,-0.43574982889365627,-0.39237399503205467,-0.35823266865628123,-0.34118557898271973,-0.3233073888988708,-0.3067271625142108,-0.2925656947300283,-0.2804617337699111,-0.2700287733187309,-0.2609383944230092,-0.2529515798732638,-0.24587286627454588,-0.2395307667202423,-0.23383395601907386,-0.22864918872619255,-0.2239301458310879},
+{0.8613556643821,-0.34999769039482354,-0.584761263224767,-0.5521150117183842,-0.4890233428617482,-0.43565526067233173,-0.39224178869262727,-0.358131094660021,-0.3411030562464847,-0.3232052748043066,-0.3066255915309757,-0.29246809737132295,-0.28036851286455355,-0.26993970564786907,-0.26085313428593865,-0.25286974978429866,-0.24579411699750603,-0.2394547948743821,-0.23376048791622822,-0.22857799821670188,-0.22386102701499389},
+{0.8564077404525333,-0.3519479371092413,-0.5854311510660503,-0.5522354875490141,-0.4889784673884304,-0.43556030193715306,-0.39210941215941375,-0.3580294345041312,-0.3410202640789352,-0.3231031023846045,-0.30652402798947265,-0.2923705295761749,-0.2802753310114716,-0.26985068207156726,-0.2607679206955336,-0.2527879673545578,-0.24571541576352118,-0.23937887103859765,-0.23368706753795127,-0.228506854989113,-0.2237919549485229},
+{0.8514667692031433,-0.35389208078022427,-0.586096875045057,-0.5523541438121943,-0.4889327777222571,-0.43546495586378975,-0.3919768704552891,-0.3579276911331323,-0.34093720452735116,-0.3230008729187611,-0.30642247252899046,-0.2922729917571493,-0.28018218851251225,-0.269761702824029,-0.26068275383975703,-0.2527062327400173,-0.24563676270499843,-0.23930299532713672,-0.23361369498416915,-0.2284357591317647,-0.2237229297104991},
+{0.8465327586860387,-0.355830146108818,-0.5867584532942497,-0.5524709908860855,-0.4888862794090602,-0.4353692256073061,-0.39184416853844417,-0.3578258677930134,-0.34085387964557934,-0.3228985876744893,-0.3063209257830444,-0.29217548432306756,-0.28008908566679563,-0.2696727681371893,-0.2605976339046812,-0.25262454609502427,-0.24555815795291094,-0.2392271678529607,-0.23354037035363864,-0.228364710731929,-0.22365395137877903},
+{0.8416057168343565,-0.35776215762131147,-0.587415903874973,-0.5525860390935651,-0.4888389779611053,-0.4352731143022837,-0.39171131130238346,-0.35772396805529855,-0.3407702914934972,-0.3227962479082917,-0.3062193883794141,-0.2920780076790307,-0.2799960227707109,-0.2695838782407014,-0.2605125610744788,-0.2525429075722913,-0.24547960163678306,-0.2391513887277319,-0.23346709374394262,-0.2282937098757994,-0.22358502003020175},
+{0.8366856514629079,-0.35968813966899593,-0.5880692447776887,-0.5526992987025079,-0.48879087885729444,-0.43517662506294863,-0.39157830357600887,-0.3576219958391504,-0.3406864421364988,-0.3226938548655637,-0.3061178609401875,-0.29198056222644225,-0.27990300011794683,-0.2694950333619655,-0.2604275355314374,-0.25246131732290444,-0.24540109388470638,-0.23907565806182873,-0.23339386525149186,-0.22822275664849215,-0.22351613574062468},
+{0.8317725702688196,-0.3616081164279722,-0.5887184939222047,-0.5528107799260599,-0.4887419875433802,-0.4350797609833154,-0.3914451501237172,-0.3575199554311065,-0.34060233364499815,-0.3225914097806754,-0.30601634408181155,-0.29188314836304163,-0.27981001799950533,-0.26940623372613404,-0.2603425574559798,-0.25237977549634005,-0.24532263482334538,-0.23899997596435063,-0.23332068497153638,-0.22815185113406383,-0.22344729858491863},
+{0.8268664808321746,-0.36352211189900285,-0.5893636691579062,-0.5529204929229594,-0.48869230943216224,-0.43498252513731395,-0.39131185564550197,-0.3574178515021543,-0.34051796809393514,-0.32248891387707157,-0.30591483841514727,-0.2917857664829344,-0.2797170767037196,-0.2693174795561427,-0.2602576270266746,-0.2522982822404774,-0.24524422457795508,-0.23892434254313166,-0.23324755299817873,-0.22808099341551727,-0.22337850863697412},
+{0.8219673906166483,-0.36543014990741784,-0.5900047882639898,-0.5530284477977875,-0.48864184990369747,-0.43488492057892275,-0.3911784247771364,-0.3573156891218422,-0.34043334756229493,-0.3223863683673549,-0.30581334454551146,-0.2916884169766183,-0.27962417651628246,-0.26922877107272514,-0.2601727444202559,-0.2522168377016128,-0.24516586327239753,-0.23884875790475749,-0.2331744694243836,-0.2280101835748063,-0.2233097659697247},
+{0.8170753069701476,-0.3673322541030528,-0.5906418689496915,-0.5531346546012811,-0.4885906143054936,-0.4347869503423084,-0.39104486209033096,-0.35721347376924495,-0.3403484741326408,-0.32228377445337314,-0.30571186307272863,-0.2915911002310202,-0.27953131772024664,-0.26914010849441666,-0.26008790981162605,-0.2521354420244654,-0.245087551029133,-0.2387732221545546,-0.23310143434197259,-0.22793942169284415,-0.2232410706551287},
+{0.8121902371254386,-0.369228447960244,-0.5912749288545199,-0.5532391233305985,-0.48853860795271115,-0.434688617441932,-0.3909111720929503,-0.3571112113406335,-0.34026334989065177,-0.3221811333263104,-0.3056103945911748,-0.29149381662951357,-0.27943850059605657,-0.26905149203758866,-0.2600031233738841,-0.2520540953521934,-0.24500928796924842,-0.23869773539662276,-0.23302844784165855,-0.22786870784951507,-0.2231724227641991},
+{0.8073121882007837,-0.37111875477785783,-0.5919039855484858,-0.5533418639295924,-0.48848583612836016,-0.43458992487270637,-0.39077735922924495,-0.35700890815376823,-0.3401779769246698,-0.3220784461667632,-0.3055089396898235,-0.2913965665519534,-0.2793457254215629,-0.2689629219164524,-0.2599183852783251,-0.251972797826399,-0.24493107421245558,-0.2386222977338226,-0.23295551001301884,-0.22779804212367358,-0.22310382236699838},
+{0.8024411672005625,-0.373003197679373,-0.5925290565323347,-0.5534428862891247,-0.4884323040835017,-0.4344908756101078,-0.39064342788009365,-0.35690657094879324,-0.3400923573252776,-0.32197571414484016,-0.30540749895229935,-0.29129935037470656,-0.27925299247204405,-0.26887439834308635,-0.2598336956944673,-0.2518915495871592,-0.24485290987711494,-0.2385469092678112,-0.23288262094454226,-0.2277274245931733,-0.2230352695326535},
+{0.7975771810159054,-0.37488179961298984,-0.5931501592377747,-0.553542200247299,-0.48837801703744066,-0.43439147261030353,-0.3905093823632935,-0.3568042068857207,-0.34000649318484183,-0.32187293842022885,-0.30530607295691153,-0.2912021684706684,-0.27916030202021586,-0.2687859215274396,-0.2597490547900534,-0.25181035077300623,-0.244774795080229,-0.23847157009901584,-0.23280978072360375,-0.22765685533484314,-0.22296676432934895},
+{0.7927202364253095,-0.3767545833518005,-0.5937673110277095,-0.5536398155897794,-0.4883229801779236,-0.4342917188102894,-0.39037522693384247,-0.3567018235386402,-0.33992038659711976,-0.32177012014228423,-0.3052046622767126,-0.29110502120930626,-0.2790676543362534,-0.2686974916773557,-0.2596644627310741,-0.25172920152096934,-0.24469672993746966,-0.23839628032668003,-0.23273698943649193,-0.22758633442451953,-0.22289830682434741},
+{0.7878703400952647,-0.3786215714939775,-0.5943805291964697,-0.5537357420500412,-0.48826719866132307,-0.43419161712799675,-0.3902409657842696,-0.356599428886696,-0.33983403965683545,-0.32166726045011,-0.305103267479537,-0.2910079089566745,-0.278975049687809,-0.2686091089985923,-0.25957991968177196,-0.251648101966564,-0.2446187145631727,-0.23832104004884325,-0.23266424716841935,-0.22751586193703868,-0.22282989708399373},
+{0.7830274985808723,-0.38048278646302125,-0.5949898309700364,-0.5538299893096432,-0.48821067761284237,-0.43409117046243834,-0.39010660304497285,-0.35649703130203536,-0.33974745445928534,-0.3215643604726386,-0.3050018891280426,-0.29091083207544316,-0.2788824883400362,-0.2685207736948321,-0.25949542580466767,-0.2515670522438204,-0.24454074907036016,-0.2382458493623697,-0.23259155400351136,-0.22744543794626515,-0.2227615351737251},
+{0.7781917183264576,-0.3823382505080337,-0.5955952335062824,-0.5539225669985226,-0.48815342212669505,-0.433990381693815,-0.38997214278456294,-0.35639463953486905,-0.33966063309994887,-0.32146142132871225,-0.30490052777975885,-0.2908137909249349,-0.27878997055559174,-0.2684324859676941,-0.25941098126055606,-0.25148605248527905,-0.24446283357074103,-0.23817070836294618,-0.2325189100248352,-0.22737506252506817,-0.22269322115806223},
+{0.7733630056661889,-0.3841879857040354,-0.5961967538951897,-0.5540134846952417,-0.48809543726630733,-0.4338892536836484,-0.38983758901025406,-0.35629226269587916,-0.3395735776741017,-0.3213584441271551,-0.30479918398713135,-0.29071678586113747,-0.2786974965946679,-0.268344246016761,-0.2593265862085395,-0.25140510282201317,-0.2443849681747292,-0.23809561714509722,-0.23244631531439464,-0.2273047357453603,-0.22262495510063446},
+{0.7685413668246838,-0.38603201395231546,-0.5967944091590855,-0.5541027519272776,-0.4880367280644932,-0.43378778927490297,-0.3897029456682314,-0.3561899102361695,-0.3394862902764505,-0.3212554299668531,-0.3046978582975613,-0.2906198172367367,-0.2786050667149944,-0.26825605403957936,-0.25924224080601094,-0.2513242033836314,-0.2443071529914432,-0.2380205758021782,-0.2323737699531423,-0.22723445767807193,-0.2225567370641673},
+{0.7637268079176232,-0.38787035698082206,-0.597388216252873,-0.554190378171281,-0.4879772995236482,-0.43368599129209473,-0.3895682166440855,-0.3560875919250325,-0.3393987730007685,-0.32115237993683465,-0.3045965512534563,-0.2905228854011457,-0.27851268117187794,-0.2681679102316965,-0.25915794520871027,-0.251243354298296,-0.24422938812872738,-0.23794558442641434,-0.2323012740209937,-0.22716422839320205,-0.22248856711051823},
+{0.7589193349523533,-0.38970303634458664,-0.5979781920642572,-0.5542763728533363,-0.48791715661594004,-0.43358386254143333,-0.3894334057632241,-0.3559853178257415,-0.3393110279395466,-0.3210492951163383,-0.3044952633922653,-0.2904259907005298,-0.2784203402181948,-0.26807981478665316,-0.25907369957069315,-0.2511625556927328,-0.24415167369315524,-0.23787064310888106,-0.23222882759682084,-0.227094047959776,-0.22242044530066096},
+{0.754118953828498,-0.39153007342618085,-0.5985643534139722,-0.5543607453492488,-0.48785630428348464,-0.43348140581092226,-0.38929851679129923,-0.3558830982696507,-0.3392230571836351,-0.32094617657489655,-0.30439399524651556,-0.2903291334778231,-0.2783280441044233,-0.2679917678960097,-0.2589895040443694,-0.25108180769223093,-0.24407400979003457,-0.2377957519395213,-0.2321564307584693,-0.22702391644589076,-0.22235237169467936},
+{0.7493256703385509,-0.3933514894362069,-0.5991467170560136,-0.5544435049847865,-0.48779474743853485,-0.43337862387048703,-0.3891635534346789,-0.355780943828859,-0.3391348628219305,-0.32084302537240394,-0.3042927473438711,-0.2902323140727634,-0.2782357930786524,-0.2679037697493667,-0.25890535878051346,-0.25100111042067325,-0.24399639652342503,-0.237720911007165,-0.23208408358277113,-0.22695383391870932,-0.2222843463518185},
+{0.7445394901684834,-0.395167305413824,-0.5997252996778627,-0.5545246610359658,-0.4877324909636674,-0.43327551947209486,-0.38902851934089455,-0.3556788652876782,-0.3390464469410275,-0.32073984255919286,-0.30419152020716145,-0.2901355328219123,-0.27814358738660655,-0.2678158205343683,-0.2588212639282637,-0.2509204640005243,-0.24391883399614672,-0.23764612039951297,-0.23201178614553855,-0.22688380044445478,-0.22221636933044714},
+{0.7397604188983381,-0.3969775422273041,-0.600300117900719,-0.554604222729295,-0.4876695397119535,-0.43317209534986045,-0.3888934180991352,-0.35557687361315005,-0.3389578116249116,-0.32063662917610214,-0.3040903143544272,-0.29003879005868266,-0.2780514272716518,-0.2677279204367224,-0.25873721963514934,-0.2508398685528612,-0.24384132230978317,-0.23757138020317348,-0.2319395385215826,-0.22681381608843906,-0.22214844068808431},
+{0.7349884620028234,-0.398782220574619,-0.6008711882797225,-0.5546821992420363,-0.4876058985071495,-0.43306835422017953,-0.38875825324074176,-0.35547497992489024,-0.3388689589546512,-0.3205333862545576,-0.303989130298956,-0.28994208611335476,-0.27795931297482207,-0.2676400696402189,-0.25865322604709506,-0.2507593241973737,-0.24376386156469917,-0.23749669050365002,-0.23186734078471843,-0.22674388091505637,-0.22208056048140798},
+{0.730223624851912,-0.40058136098405855,-0.6014385273041848,-0.5547585997024851,-0.48754157214387084,-0.4329642987818298,-0.38862302823969425,-0.35537319546445123,-0.3387798910080881,-0.3204301148166431,-0.30388796854932915,-0.28984542131310437,-0.27786724473483004,-0.26755226832673634,-0.25856928330843537,-0.2506788310523671,-0.24368645186003984,-0.23742205138536077,-0.23179519300777013,-0.226673994987796,-0.2220127287662486},
+{0.7254659127114229,-0.40237498381487485,-0.602002151397813,-0.5548334331901971,-0.4874765653877712,-0.43285993171609183,-0.388487746513146,-0.3552715315644319,-0.33869060985954935,-0.32032681587515727,-0.3037868296094576,-0.2897487959820194,-0.2777752227880822,-0.2674645166762615,-0.2584853915619235,-0.2505983892347955,-0.24360909329374747,-0.23734746293163583,-0.23172309526257207,-0.22660415836923611,-0.2219449455976086},
+{0.7207153307436177,-0.40416310925796267,-0.6025620769189362,-0.5549067087362773,-0.48741088297572427,-0.4327552556868672,-0.38835241142193905,-0.35516999961758877,-0.3386011175795619,-0.32022349043370796,-0.3036857139786238,-0.28965221044112716,-0.2776832473687014,-0.26737681486691045,-0.2584015509487545,-0.2505179988602509,-0.2435317859625719,-0.23727292522474247,-0.23165104761999783,-0.22653437112108038,-0.2218772110296624},
+{0.7159718840077793,-0.4059457573365588,-0.6031183201607359,-0.5549784353236147,-0.4873445296159877,-0.4326502733407783,-0.38821702627115134,-0.35506861104606136,-0.33851141623457287,-0.32012013948676077,-0.30358462215151755,-0.2895556650084067,-0.27759131870853615,-0.26728916307492423,-0.2583177616085558,-0.2504376600429758,-0.24345452996206765,-0.237198438345875,-0.23157905014994468,-0.22646463330412492,-0.22180952511576787},
+{0.7112355774608025,-0.40772294790697544,-0.6036708973514665,-0.555048621887133,-0.48727750998839114,-0.43254498730729973,-0.3880815943106516,-0.35496737727097377,-0.3384215078866821,-0.3200167640197208,-0.3034835546182747,-0.28945915999881155,-0.27749943703718005,-0.26720156147470076,-0.2582340236794266,-0.2503573728958866,-0.2433773253866196,-0.23712400237517245,-0.2315071029213439,-0.22639494497829715,-0.22174188790845883},
+{0.7065064159577698,-0.40949470065935467,-0.6042198246546822,-0.555117277314066,-0.4872098287445,-0.43243940019885063,-0.3879461187356306,-0.35486630968252414,-0.33833139459337735,-0.31991336500900003,-0.3033825118645218,-0.2893626957242844,-0.2774076025819845,-0.26711401023880155,-0.25815033729791936,-0.2502771375305705,-0.24330017232943285,-0.2370496173917236,-0.23143520600218703,-0.22632530620264232,-0.22167429945946993},
+{0.7017844042525317,-0.41126103511845313,-0.604765118169464,-0.5551844104441839,-0.4871414905077992,-0.43233351461091896,-0.38781060268720463,-0.3547654196107434,-0.33824107840728546,-0.3198099434220859,-0.30328149437140794,-0.28926627249377546,-0.2773158155680833,-0.2670265095379678,-0.25806670259908027,-0.25019695405729964,-0.24322307088256864,-0.23697528347358032,-0.23136335945951397,-0.22625571703534775,-0.2216067598197345},
+{0.6970695469982853,-0.4130219706444457,-0.6053067939306388,-0.5552500300700651,-0.48707249987385304,-0.4322273331221726,-0.38767504925295715,-0.3546647182970217,-0.33815056137591604,-0.3197065002176068,-0.30318050261564083,-0.2891698906132609,-0.2772240762183959,-0.2669390595411324,-0.2579831197164355,-0.25011682258504436,-0.24314602113691763,-0.2369010006977498,-0.23129156335941553,-0.22618617753373133,-0.2215392690393728},
+{0.6923618487481484,-0.41477752643376214,-0.6058448679090132,-0.5553141449373329,-0.4870028614104798,-0.4321208582945543,-0.3875394614675502,-0.3545642168665875,-0.3380598455414331,-0.3196030363454095,-0.3030795370695375,-0.2890735503857606,-0.2771323847536498,-0.26685166041543074,-0.2578995887820313,-0.25003674322148045,-0.24306902318224327,-0.23682676914023348,-0.23121981776707246,-0.22611668775426214,-0.22147182716773778},
+{0.6876613139557275,-0.41652772151993067,-0.6063793560115835,-0.5553767637448922,-0.4869325796579219,-0.4320140926734067,-0.387403842313302,-0.35446392630195095,-0.337968932940409,-0.31949955274660785,-0.3029785982010351,-0.28897725211133324,-0.2770407413923961,-0.26676431232622105,-0.257816109926405,-0.24995671607298703,-0.24299207710716048,-0.2367525888759853,-0.23114812274670865,-0.22604724775254614,-0.2214044342533853},
+{0.6829679469756921,-0.4182725747744691,-0.6069102740817729,-0.555437895145214,-0.4868616591290173,-0.4319070387875714,-0.3872681947207788,-0.35436385741751053,-0.3378778256036191,-0.3193960503536809,-0.3028776864737607,-0.2888809960871308,-0.27694914635102597,-0.26667701543710015,-0.25773268327864074,-0.24987674124468784,-0.24291518299916456,-0.23667845997897863,-0.2310764783616679,-0.22597785758336889,-0.22133709034410004},
+{0.6782817520643416,-0.42001210490776797,-0.6074376378996436,-0.5554975477445306,-0.4867901043093589,-0.4317996991494951,-0.38713252156940925,-0.3542640208352906,-0.3377865255557945,-0.31929253009050546,-0.30277680234703586,-0.2887847826073601,-0.27685759984378033,-0.2665897699098993,-0.25764930896634547,-0.24979681884042568,-0.24283834094463547,-0.23660438252216753,-0.23100488467435604,-0.2259085173006684,-0.22126979548688663},
+{0.6736027333801677,-0.4217463304700209,-0.6079614631821246,-0.555555730103126,-0.4867179196574742,-0.4316920762553492,-0.3869968256880838,-0.3541644269619783,-0.33769503481543717,-0.31918899287244884,-0.3026759462759408,-0.2886886119633482,-0.2767661020827693,-0.2665025759047216,-0.2575659871156819,-0.2497169489627833,-0.24276155102883945,-0.23653035657750762,-0.23093334174627506,-0.22583922695754594,-0.22120254972798375},
+{0.6689308949844204,-0.4234752698521574,-0.608481765583236,-0.55561245073555,-0.4866451096049672,-0.43158417258511134,-0.38686110985577077,-0.35406508596722186,-0.33760335539460407,-0.319085439606424,-0.30257511871133,-0.28859248444352825,-0.2766746532779908,-0.2664154335799379,-0.2574827178513695,-0.24963713171311153,-0.2426848133359431,-0.23645638221596793,-0.2308618496380485,-0.22576998660628697,-0.22113535311287058},
+{0.6642662408416683,-0.42519894128680363,-0.6089985606943004,-0.5556677181108605,-0.48657167855671135,-0.4314759906026989,-0.386725376802137,-0.35396600776328535,-0.3375114892987036,-0.3189818711909562,-0.30247432009987196,-0.28849640033345697,-0.27658325363734076,-0.266328343092207,-0.257399501296694,-0.2495573671915146,-0.24260812794901654,-0.23638245950755105,-0.23079040840939175,-0.22570079629837048,-0.22106820568628716},
+{0.659608774820355,-0.4269173628492595,-0.6095118640441752,-0.5557215406528822,-0.4864976308909873,-0.43136753275604733,-0.38658962920815576,-0.3538672019860779,-0.3374194385263122,-0.31887828851625455,-0.30237355088409396,-0.2884003599158333,-0.27649190336662116,-0.26624130459648765,-0.257316337573524,-0.2494776554968709,-0.24253149495005716,-0.2363085885212685,-0.23071901811914086,-0.22563165608444086,-0.22100110749219704},
+{0.6549585006933553,-0.42863055245849535,-0.6100216910994649,-0.5557739267404245,-0.48642297095966425,-0.4312588014772318,-0.3864538697067361,-0.3537686779775622,-0.3373272050689819,-0.3187746924642694,-0.3022728115023994,-0.28830436347051513,-0.2764006026695753,-0.26615431824605135,-0.25723322680232374,-0.24939799672683988,-0.24245491441997277,-0.23623476932518006,-0.23064767882526177,-0.2255625660143601,-0.22093405857383813},
+{0.6503154221385328,-0.4303385278781624,-0.6105280572647467,-0.555824884707538,-0.48634770308834724,-0.4311497991825662,-0.3863181008833413,-0.3536704447695588,-0.3372347909110613,-0.31867108390876275,-0.3021721023891181,-0.28820841127451935,-0.2763093517478724,-0.2660673841924893,-0.2571501691021403,-0.2493183909778598,-0.2423783864386051,-0.23616100198636755,-0.23057639058483392,-0.22549352613715987,-0.2208670589736955},
+{0.6456795427392895,-0.4320413067176227,-0.6110309778827869,-0.5558744228437389,-0.48627183157654336,-0.43104052827269485,-0.386182325276613,-0.35357251106895776,-0.337142198029533,-0.31856746371537603,-0.30207142397453984,-0.28811250360206553,-0.2762181508011608,-0.26598050258574807,-0.25706716459066076,-0.249238838345191,-0.24230191108474122,-0.23608728657098205,-0.23050515345409406,-0.2254245365011217,-0.22080010873353823},
+{0.6410508659851113,-0.43373890643299845,-0.611530468234762,-0.5559225493942426,-0.4861953606978199,-0.43093099113271316,-0.3860465453790119,-0.35347488524431164,-0.33704942839383284,-0.31846383274168655,-0.3019707766849289,-0.28801664072457106,-0.2761270000270475,-0.26589367357410265,-0.25698421338417154,-0.2491593389228848,-0.2422254884361137,-0.23601362314421584,-0.23043396748839579,-0.2253555971537054,-0.2207332078943967},
+{0.6364293952721218,-0.4354313443282263,-0.6120265435404726,-0.5559692725602096,-0.486118294699963,-0.4308211901322438,-0.38591076363740806,-0.3533775753138063,-0.33695648396568517,-0.3183601918372799,-0.3018701609425809,-0.287920822910669,-0.2760358996211258,-0.26580689730420365,-0.2569013155976002,-0.24907989280381276,-0.24214911856940477,-0.23594001177033075,-0.23036283274226363,-0.22528670814160498,-0.22066635649657226},
+{0.6318151339036226,-0.4371186375561385,-0.6125192189585673,-0.5560146004989651,-0.4860406378051334,-0.4307111276255647,-0.3857749824537376,-0.3532805889346011,-0.3368633666989716,-0.3182565418438102,-0.30176957716584246,-0.28782505042623524,-0.2759448497770023,-0.265720173921084,-0.25681847134452407,-0.24900050007968305,-0.2420728015602682,-0.23586645251265578,-0.23029174926936852,-0.22521786951073627,-0.22059955457967056},
+{0.6272080850906382,-0.43880080311955083,-0.6130085095867573,-0.5560585413242483,-0.4859623942100268,-0.43060080595168704,-0.3856392041855993,-0.353183933393475,-0.3367700785395486,-0.31815288359506294,-0.3016690257691486,-0.2877293235343965,-0.2758538506862872,-0.2656335035681535,-0.2567356807371534,-0.24892116084101856,-0.24199653748332137,-0.23579294543359436,-0.23022071712253997,-0.22514908130623695,-0.22053280218257024},
+{0.6226082519524556,-0.4404778578723621,-0.6134944304620338,-0.5561011031064232,-0.4858835680860163,-0.43049022743445503,-0.38550343114688895,-0.3530876155987937,-0.33667662142512456,-0.3180492179170207,-0.3015685071630572,-0.2876336424955647,-0.27576290253862246,-0.26554688638722473,-0.25665294388638193,-0.24884187517720607,-0.2419203264121659,-0.2357194905946349,-0.23014973635378316,-0.22508034357249804,-0.2204660993434413},
+{0.6180156375171632,-0.4421498185206779,-0.6139769965608861,-0.5561422938727172,-0.48580416357932504,-0.4303793943826707,-0.3853676656084249,-0.3529916420737391,-0.3365829972851175,-0.31794554562793326,-0.3014680217542735,-0.2875380075674339,-0.2756720055217097,-0.265460322518535,-0.2565702609017709,-0.24876264317648158,-0.2418441684193911,-0.23564608805636825,-0.23007880701426886,-0.2250116563531469,-0.22039944609976575},
+{0.6134302447221847,-0.4438167016239274,-0.614456222799514,-0.5561821216074541,-0.4857241848111624,-0.43026830909014735,-0.38523190979852934,-0.3528960189507321,-0.33648920804051224,-0.3178418675383602,-0.3013675699456861,-0.28744241900502054,-0.2755811598212853,-0.265373812100731,-0.25648763189155577,-0.24868346492592858,-0.24176806357656971,-0.23557273787845484,-0.23000792915435447,-0.22494301969105035,-0.22033284248831003},
+{0.6088520764148168,-0.44547852359601375,-0.6149321240340457,-0.5562205942522684,-0.4856436358778854,-0.4301569738358446,-0.3850961659036726,-0.35280075196709143,-0.3363952556037399,-0.31773818445125834,-0.3012671521364021,-0.28734687706067186,-0.27549036562117174,-0.2652873552709011,-0.25640505696266847,-0.24860434051150682,-0.2416920119542833,-0.23549944011968293,-0.229937102823575,-0.22487443362833087,-0.22026628854516395},
+{0.6042811353527585,-0.4471353007064559,-0.6154047150607511,-0.5562577197063501,-0.48556252085115376,-0.4300453908839471,-0.38496043606905705,-0.3527058464617815,-0.3363011418785513,-0.3176344971620291,-0.30116676872177817,-0.2872513819840963,-0.2753996231032783,-0.2652009521645923,-0.2563225362207564,-0.2485252700180706,-0.24161601362212748,-0.23542619483794244,-0.22986632807067092,-0.22480589820638122,-0.22019978430572645},
+{0.5997174242046387,-0.44878704908155626,-0.6158740106162618,-0.5562935058266522,-0.48548084377806316,-0.42993356248395853,-0.3848247223992385,-0.3526113073732811,-0.3362068687599007,-0.3175308064585878,-0.3010664200934506,-0.28715593402238226,-0.27530893244761384,-0.26511460291580613,-0.2562400697701608,-0.2484462535293404,-0.2415400686487101,-0.23535300209024626,-0.22979560494357934,-0.22473741346585765,-0.22013332980471811},
+{0.5951609455505481,-0.45043378470556544,-0.6163400253777767,-0.5563279604281143,-0.4853986086813146,-0.42982149087081006,-0.3846890269587171,-0.35251713923847583,-0.3361124381338292,-0.31742711312141036,-0.30096610663935264,-0.2870605334200145,-0.27521829383229346,-0.2650283076570127,-0.2561576577139552,-0.24836729112793898,-0.24146417710165513,-0.23527986193272066,-0.22972493348942186,-0.22466897944666026,-0.22006692507617576},
+{0.5906117018825595,-0.4520755234218656,-0.6168027739632799,-0.5563610912839027,-0.48531581955934844,-0.4297091782649334,-0.38455335177251326,-0.3524233461925577,-0.33601785187735855,-0.3173234179236245,-0.3008658287437677,-0.2869651804189042,-0.27512770743356885,-0.26494206651917473,-0.2560753001539362,-0.24828838289539817,-0.24138833904762858,-0.2352067744206356,-0.22965431375456444,-0.22460059618801104,-0.22000057015347702},
+{0.5860696956052552,-0.45371228093415816,-0.6172622709317539,-0.5563929061256084,-0.48523248038649935,-0.4295966268723729,-0.384417698826784,-0.35232993196985973,-0.3359231118583863,-0.3172197216310434,-0.30076558678735343,-0.286869875258418,-0.275037173425831,-0.2648558796317519,-0.2559929971906561,-0.2482095289121476,-0.24131255455233136,-0.23513373960839495,-0.22958374578456558,-0.22453226372837534,-0.2199342650693229},
+{0.5815349290362426,-0.4553440728076583,-0.6177185307833898,-0.5564234126434912,-0.4851485951131442,-0.42948383888487707,-0.38428207006937537,-0.3522368999055767,-0.33582821993558115,-0.3171160250022331,-0.3006653811471459,-0.2867746181753843,-0.27494669198162414,-0.2647697471226969,-0.2559107489233971,-0.24813072925755075,-0.24123682368050364,-0.23506075754952663,-0.2295132296242046,-0.2244639821055211,-0.2198680098557538},
+{0.5770074044066787,-0.45697091447030436,-0.6181715679598027,-0.55645261848668,-0.4850641676658351,-0.4293708164799725,-0.38414646741042663,-0.35214425293833873,-0.33573317795830027,-0.3170123287885888,-0.300565212196644,-0.28667940940414316,-0.27485626327165663,-0.264683669118507,-0.2558285554502225,-0.2480519840098973,-0.2411611464959529,-0.23498782829674658,-0.229442765317522,-0.22439575135651096,-0.2198018045441629},
+{0.5724871238617799,-0.45859282121396094,-0.6186213968442338,-0.5564805312633885,-0.48497920194745775,-0.42925756182108166,-0.38401089272292377,-0.3520519936135523,-0.3356379877664821,-0.3169086337343668,-0.30046508030576935,-0.28658424917653114,-0.27476588746482433,-0.264597645744179,-0.2557464168679444,-0.24797329324640294,-0.24108552306152115,-0.2349149519018912,-0.22937235290773123,-0.22432757151769578,-0.21973564916527813},
+{0.5679740894613414,-0.46020980819564533,-0.6190680317617748,-0.5565071585411581,-0.4848937018373742,-0.42914407705759167,-0.3838753478432603,-0.351960124087513,-0.33554265119057836,-0.31680494057678343,-0.30036498584096105,-0.2864891377219678,-0.2746755647282186,-0.2645116771232858,-0.25566433327216875,-0.24789465704324504,-0.24100995343915527,-0.23484212841598204,-0.2293019924373504,-0.22425944262474296,-0.21966954374920727},
+{0.563468303180248,-0.4618218904387449,-0.6195114869795643,-0.5565325078470374,-0.4848076711915533,-0.42903036432495706,-0.38373983457180794,-0.35186864613216273,-0.33544717005145613,-0.31670125004603367,-0.30026492916515796,-0.28639407526740795,-0.27458529522713326,-0.2644257633779261,-0.2555823047572838,-0.24781607547553525,-0.24093443768984196,-0.23476935788920844,-0.22923168394811716,-0.2241913647126161,-0.21960348832538434},
+{0.5589697669089821,-0.46342908283425055,-0.6199517767070063,-0.5565565866678311,-0.4847211138427332,-0.42891642574479055,-0.383604354673455,-0.3517775611405155,-0.33535154616032614,-0.3165975628653769,-0.3001649106378521,-0.28629906203742556,-0.27449507912508075,-0.26433990462877255,-0.25550033141646417,-0.24773754861735015,-0.24085897587365984,-0.23469664037091498,-0.22916142748099078,-0.2241233378155838,-0.21953748292262704},
+{0.5544784824541328,-0.4650314001419892,-0.6203889150959783,-0.5565794024502903,-0.48463403360053586,-0.4288022634249408,-0.38346890987815074,-0.35168687013267036,-0.33525578131867484,-0.3164938797511847,-0.30006493061510925,-0.28620409825420823,-0.2744049165838163,-0.26425410099507496,-0.2554184133417003,-0.2476590765417386,-0.24078356804977735,-0.23462397590965117,-0.22909122307624485,-0.224055361967266,-0.21947152756911487},
+{0.5499944515389009,-0.4666288569918601,-0.6208229162410307,-0.5566009626013244,-0.484546434251633,-0.4286878794595976,-0.38333350188146803,-0.3515965737623432,-0.3351598773181842,-0.31639020141300556,-0.29996498944959527,-0.28610918413759956,-0.2743148077633424,-0.26416835259466714,-0.2553365506238031,-0.2475806593207319,-0.24070821427645794,-0.234551364553148,-0.2290210707733725,-0.22398743720057374,-0.21940562229241306},
+{0.545517675803606,-0.46822146788508634,-0.6212537941796097,-0.556621274488233,-0.48445831955987034,-0.428573275929361,-0.383198132345089,-0.35150667232392646,-0.33506383594067607,-0.3162865285536305,-0.2998650874906115,-0.28601431990510806,-0.27422475282190867,-0.26408265954398746,-0.2552547433523927,-0.24750229702532878,-0.24063291461106892,-0.23447880634832513,-0.22895097061114944,-0.22391956354776668,-0.21933976711945385},
+{0.5410481568061795,-0.46980924719545125,-0.6216815628922483,-0.556640345438891,-0.4843696932664103,-0.42845845490134465,-0.3830628028973727,-0.3514171657599712,-0.3349676589580377,-0.31618286186912975,-0.2997652250841144,-0.28591950577195546,-0.274134751916051,-0.2639970219580682,-0.2551729916159309,-0.24742398972553203,-0.2405576691100787,-0.23440630134131296,-0.22888092262762544,-0.22385174104043126,-0.2192739620765554},
+{0.5365858960226738,-0.4713922091705564,-0.6221062363027858,-0.5566581827419792,-0.4842805590898695,-0.4283434184292554,-0.38292751513383205,-0.35132805366909586,-0.3348713481321657,-0.31607920204892215,-0.29966540257273583,-0.28582474195105934,-0.2740448052005756,-0.2639114399505671,-0.25509129550171167,-0.24734573749032207,-0.2404824778290749,-0.23433384957742945,-0.22881092686012483,-0.223783969709487,-0.21920820718941914},
+{0.532130894847753,-0.4729703679330706,-0.6225278282785677,-0.556674793647177,-0.48419092072645165,-0.42822816855347917,-0.3827922706176835,-0.35123933531425544,-0.33477490521492637,-0.3159755497758437,-0.29956562029584527,-0.28573002865312047,-0.2739549128286029,-0.2638259136337737,-0.25500965509589074,-0.24726754038771984,-0.2404073408227677,-0.23426145110122415,-0.22874098334526635,-0.22371624958521913,-0.21914250248316644},
+{0.5276831545951883,-0.47454373748198597,-0.6229463526306527,-0.5566901853653733,-0.4841007818500943,-0.4281127073011749,-0.38265707088032735,-0.3511510096313294,-0.3346783319480831,-0.3158719057261884,-0.29946587858952833,-0.2856353660865957,-0.27386507495155266,-0.263740443118616,-0.2549280704834679,-0.24718939848472962,-0.24033225814498604,-0.23418910595645576,-0.22867109211894535,-0.2236485806972347,-0.2190768479822798},
+{0.5232426764983529,-0.4761123316938744,-0.6233618231140132,-0.5567043650688732,-0.4840101461125872,-0.4279970366863379,-0.38252191742183733,-0.3510630752380013,-0.33458163006326,-0.3157682705697684,-0.2993661777866471,-0.2855407544577391,-0.27377529171917103,-0.26365502851466543,-0.25484654174832566,-0.2471113118473997,-0.24025722984870634,-0.2341168141861145,-0.22860125321636082,-0.22358096307450626,-0.21901124371066655},
+{0.5188094617107125,-0.4776761643241486,-0.6237742534277492,-0.556717339891603,-0.483919017143724,-0.4278811587099153,-0.3823868117114701,-0.3509755304428994,-0.33448480128190033,-0.31566464496998564,-0.2992665182168619,-0.2854461939706469,-0.273685563279538,-0.26356966993016856,-0.2547650689732176,-0.24703328054078671,-0.2401822559860433,-0.23404457583241384,-0.22853146667201868,-0.22351339674538717,-0.21894568969165393},
+{0.5143835113063129,-0.4792352490083183,-0.6241836572152821,-0.5567291169293226,-0.4838273985514255,-0.42776507535986785,-0.38225175518813104,-0.3508883732549235,-0.334387847315208,-0.3155610295838549,-0.2991669002066402,-0.28535168482724926,-0.2735958897790798,-0.2634843674720199,-0.2546836522397694,-0.2469553046289969,-0.24010733660825062,-0.2339723909367972,-0.2284617325197067,-0.22344588173755503,-0.21888018594795092},
+{0.5099648262802671,-0.4807895992632516,-0.6245900480645641,-0.5567397032398053,-0.4837352939218644,-0.42764878861125094,-0.3821167492608523,-0.3508016013927736,-0.3342907698641233,-0.31545742506209373,-0.2990673240793071,-0.2852572272273446,-0.27350627136258443,-0.2633991212458165,-0.25460229162850784,-0.24687738417516947,-0.2400324717657472,-0.23390025953996363,-0.22839205079255087,-0.22337841807808523,-0.21881473250171324},
+{0.5055534075492392,-0.48233922848844146,-0.6249934395082817,-0.5567491058430588,-0.4836427068196223,-0.4275323004263261,-0.3819817953092846,-0.35071521229463837,-0.3341935706192914,-0.31535383204916523,-0.2989677901550507,-0.2851628213686499,-0.2734167081732114,-0.2633139313558413,-0.2545209872188711,-0.24679951924150215,-0.2399576615081097,-0.23382818168184527,-0.2283224215229795,-0.22331100579341695,-0.2187493293745031},
+{0.5011492559519282,-0.4838841499672577,-0.6253938450240479,-0.5567573317215221,-0.48354964078779133,-0.4274156127546007,-0.3818468946841168,-0.3506292031279619,-0.3340962512610171,-0.31525025118332284,-0.29886829875096266,-0.2850684674467884,-0.27332720035249647,-0.2632287979050695,-0.25443973908918766,-0.2467217098892548,-0.2398829058840733,-0.23375615740164457,-0.22825284474274846,-0.22324364490936843,-0.21868397658730715},
+{0.4967523722495472,-0.48542437686821244,-0.6257912780346168,-0.5567643878202547,-0.48345609934812483,-0.42729872753294706,-0.3817120487075703,-0.35054357079934195,-0.3339988134592408,-0.31514668309668303,-0.29876885018104715,-0.28497416565531974,-0.2732377480403806,-0.263143720995192,-0.2543585473167204,-0.2466439561787311,-0.2398082049415537,-0.23368418673781186,-0.22818332048293227,-0.22317633545114113,-0.21861867416056122},
+{0.4923627571263026,-0.4869599222462206,-0.6261857519080741,-0.5567702810471579,-0.48336208600115854,-0.4271816466856655,-0.38157725867382075,-0.3504583119644589,-0.33390125887350874,-0.3150431284152607,-0.2986694447562672,-0.2848799161857893,-0.2731483513752045,-0.2630587007266191,-0.254277411977647,-0.24656625816933073,-0.23973355872764784,-0.23361226972805393,-0.22811384877395255,-0.22310907744333414,-0.2185534221141182},
+{0.48798041118986796,-0.4884907990438582,-0.626577279958046,-0.5567750182731455,-0.48326760422633336,-0.42706437212456305,-0.381442525849461,-0.3503734230380677,-0.3338035891529665,-0.3149395877590482,-0.29857008278455793,-0.28478571922772444,-0.2730590104937387,-0.2629737371985084,-0.25419633314708845,-0.24648861591952065,-0.2396589672886426,-0.23354040640937013,-0.2280444296455465,-0.22304187090992952,-0.21848822046728486},
+{0.48360533497186137,-0.49001702009261655,-0.6269658754438887,-0.5567786063323484,-0.483172657482137,-0.4269469057490487,-0.38130785147393387,-0.3502889002039741,-0.33370580593630184,-0.3148360617420273,-0.2984707645708385,-0.2846915749686477,-0.27296972553116966,-0.2628888305087186,-0.2541153108990887,-0.24641102948684107,-0.2395844306699872,-0.23346859681800528,-0.22797506312680133,-0.2229747158742877,-0.21842306923879629},
+{0.47923752892831567,-0.491538598114161,-0.6273515515708967,-0.5567810520223249,-0.4830772492062175,-0.4268292494461871,-0.3811732367599362,-0.35020473942503266,-0.333607910851772,-0.3147325509722783,-0.29837149041706157,-0.28459748359414305,-0.2728804966211395,-0.26280398075390404,-0.25403434530667485,-0.2463334989279634,-0.2395099489163775,-0.23339684098952423,-0.2279057492461667,-0.22290761235922077,-0.21835796844686728},
+{0.4748769934401482,-0.4930555457215858,-0.6277343214904975,-0.5567823621042316,-0.48298138281551833,-0.4267114050908089,-0.38103868289388465,-0.35012093645308767,-0.3335099055171472,-0.31462905605198366,-0.298272260622223,-0.284503445287837,-0.27279132389573363,-0.26271918802944333,-0.25395343644180385,-0.24625602429860322,-0.23943552207166552,-0.23332513895873974,-0.22783648803141976,-0.22284056038690053,-0.21829291810912993},
+{0.4705237288136295,-0.494567875420661,-0.6281141983004488,-0.5567825433030407,-0.4828850617063995,-0.42659337454556734,-0.38090419103629647,-0.3500374868388758,-0.33341179153972134,-0.31452557757750094,-0.29817307548238536,-0.2844094602314156,-0.2727022074855031,-0.26263445242950295,-0.2538725843754034,-0.2461786056536337,-0.2393611501789461,-0.23325349075977347,-0.227767279509716,-0.22277355997893167,-0.21822791824270044},
+{0.4661777352808506,-0.4960755996110857,-0.6284911950450366,-0.5567816023077113,-0.4827882892547561,-0.42647515966101784,-0.3807697623222228,-0.34995438594186745,-0.33331357051629246,-0.31442211613942134,-0.29807393529071774,-0.2843155286046888,-0.27261314751949367,-0.2625497740470129,-0.2537917891773903,-0.24610124304700942,-0.23928683328051775,-0.23318189642605114,-0.22769812370756226,-0.22270661115632828,-0.21816296886414896},
+{0.4618390130001845,-0.4975787305877287,-0.6288653247152718,-0.5567795457713856,-0.48269106881615614,-0.4263567622757143,-0.3806353978616546,-0.34987162893999485,-0.3332152440331471,-0.3143186723226073,-0.2979748403374799,-0.28422165058555304,-0.2725241441252104,-0.262465152973703,-0.25371105091663937,-0.24602393653181523,-0.23921257141789687,-0.2331103559902874,-0.22762902065081903,-0.2226397139395198,-0.2180980699895},
+{0.4575075620567472,-0.4990772805418785,-0.6292366002490897,-0.5567763803115943,-0.4825934037259517,-0.4262381842162522,-0.3805010987399004,-0.34978921083933184,-0.333116813666086,-0.31421524670624756,-0.2978757909101141,-0.2841278263500759,-0.27243519742868433,-0.26238058930009933,-0.25363036966104613,-0.2459466861602625,-0.23913836463183416,-0.23303886948450597,-0.2275599703647465,-0.22257286834837106,-0.2180332216342732},
+{0.4531833824628644,-0.5005712615624732,-0.6296050345315372,-0.5567721125104206,-0.48249529729940754,-0.4261194272973806,-0.3803668660180116,-0.3497071264836019,-0.3330182809803704,-0.31411183986392177,-0.2977767872931832,-0.28403405607245014,-0.272346307554444,-0.2622960831155243,-0.25354974547747855,-0.24586949198369984,-0.2390642129623236,-0.23296743694006294,-0.22749097287396286,-0.22250607440218118,-0.21796842381344708},
+{0.4488664741585195,-0.5020606856373443,-0.629970640394977,-0.5567667489147181,-0.48239675283181827,-0.4260004933220562,-0.3802327007331402,-0.34962537056358534,-0.3329196475307538,-0.31400845236362174,-0.29767782976846024,-0.28394033992504836,-0.2722574746255256,-0.26221163450811635,-0.2534691784318044,-0.24579235405259375,-0.23899011644856658,-0.23289605838760286,-0.22742202820246435,-0.22243933211964717,-0.2179036765414741},
+{0.4445568370118155,-0.5035455646544418,-0.630333430619277,-0.5567602960362683,-0.4822977735986223,-0.42588138408151704,-0.38009860389894745,-0.3495439376264073,-0.33282091486147714,-0.31390508476782936,-0.29757891861492625,-0.28384667807844643,-0.2721686987635273,-0.26212724356484396,-0.2533886685889295,-0.24571527241658234,-0.23891607512904522,-0.2328247338571129,-0.22735313637364238,-0.22237264151894154,-0.21783897983229067},
+{0.4402544708194312,-0.5050259104030621,-0.6306934179320033,-0.5567527603519845,-0.48219836285554596,-0.42576210135538806,-0.3799645765059773,-0.34946282208463375,-0.3327220845062759,-0.3138017376335541,-0.29748005410880185,-0.28375307070142375,-0.2720799800885766,-0.26204291037150707,-0.25330821601276443,-0.24563824712445087,-0.23884208904147336,-0.23275346337790637,-0.22728429741027567,-0.22230600261765027,-0.21777433369934085},
+{0.43595937530706463,-0.5065017345750751,-0.6310506150086195,-0.5567441483040956,-0.482098523838693,-0.4256426469117003,-0.3798306195220056,-0.34938201822523923,-0.33262315798835757,-0.3136984115123876,-0.2973812365235493,-0.2836595179609881,-0.27199131871934823,-0.26195863501273936,-0.2532278207662493,-0.24556127822413265,-0.2387681582228327,-0.23268224697862827,-0.22721551133453333,-0.22223941543282558,-0.21770973815553107},
+{0.43167155012989167,-0.5079730487661368,-0.63140503447267,-0.5567344663003233,-0.4819982597646834,-0.4255230225070248,-0.3796967338924409,-0.34930152021839583,-0.3325241368204458,-0.313595106950539,-0.2972824661299148,-0.28356602002239983,-0.2719027147731,-0.2618744175720285,-0.25314748291135725,-0.24548436576272945,-0.2386942827093556,-0.23261108468725936,-0.22714677816799506,-0.2221728799809604,-0.21764519321328524},
+{0.42739099487300913,-0.5094398644769036,-0.6317566888959804,-0.5567237207140768,-0.48189757383076,-0.42540322988650053,-0.37956292054065455,-0.34922132212607643,-0.33242502250474987,-0.3134918244888932,-0.297183743195938,-0.28347257704916395,-0.27181416836564004,-0.26179025813172374,-0.2530672025091077,-0.24540750978651776,-0.2386204625365451,-0.23253997653112535,-0.22707809793162992,-0.22210639627799267,-0.21758069888450826},
+{0.42311770905188123,-0.5109021931142395,-0.6321055907988431,-0.5567119178846246,-0.48179646921490504,-0.4252832707839312,-0.3794291803683685,-0.34914141791050823,-0.3323258165330132,-0.3133885646630723,-0.29708506798699685,-0.28337918920308613,-0.2717256796113916,-0.2617061567730408,-0.2529869796195646,-0.2453307103409599,-0.23854669773919082,-0.23246892253690893,-0.2270094706458367,-0.22203996433933326,-0.21751625518061934},
+{0.41885169211278395,-0.5123600459924214,-0.6324517526502166,-0.5566990641172778,-0.48169494907597404,-0.4251631469218571,-0.37929551425598595,-0.34906180144239196,-0.33222652038648914,-0.3132853280034532,-0.29698644076578995,-0.2832858566442461,-0.2716372486233456,-0.26162211357605936,-0.25290681430184303,-0.24525396747067557,-0.23847298835133485,-0.23239792273063004,-0.22694089633039732,-0.22197358417983587,-0.21745186211253392},
+{0.41459294343324793,-0.5138134343343304,-0.6327951868679011,-0.5566851656835734,-0.4815930165537818,-0.42504286001160385,-0.3791619230629509,-0.34898246650896536,-0.3321271355359832,-0.31318211503524135,-0.2968878617923991,-0.28319257953105903,-0.271548875513134,-0.26153812861976133,-0.25282670661414436,-0.24517728121951193,-0.23839933440633865,-0.23232697713767764,-0.22687237500454682,-0.22190725581384418,-0.21738751969069303},
+{0.41034146232249796,-0.5152623692726457,-0.633135905818744,-0.5566702288214572,-0.4814906747692466,-0.4249224117533919,-0.3790284076280778,-0.34890340682184856,-0.3320276634418533,-0.31307892627850664,-0.2967893313242853,-0.28309935802025166,-0.2714605603909825,-0.2614542019820153,-0.25274665661372847,-0.24510065163048186,-0.23832573593683287,-0.23225608578281218,-0.22680390668691314,-0.22184097925516416,-0.21732322792505293},
+{0.406097248021889,-0.5167068618510298,-0.6334739218188172,-0.5566542597354582,-0.4813879268244823,-0.4248018038363704,-0.3788949687698953,-0.34882461602468856,-0.3319281055540138,-0.3129757622482169,-0.29669084961630865,-0.2830061922668854,-0.27137230336575063,-0.26137033373957563,-0.25266666435691376,-0.24502407874580498,-0.23825219297474132,-0.23218524869013518,-0.22673549139556737,-0.22177475451705414,-0.21725898682506595},
+{0.4018602997053457,-0.5181469230253023,-0.6338092471336145,-0.5566372645968597,-0.48128477580291384,-0.42468103793871315,-0.3787616072869858,-0.3487460877006096,-0.33182846331198995,-0.31287262345431543,-0.29659241692077426,-0.28291308242439284,-0.2712841045449408,-0.26128652396812246,-0.25258672989912934,-0.24494756260692546,-0.23817870555128984,-0.23211446588315537,-0.2266671291480031,-0.22170858161228119,-0.217194796399727},
+{0.3976306164797938,-0.5195825636646216,-0.6341418939782353,-0.5566192495438865,-0.4811812247694125,-0.4245601157276815,-0.37862832395832025,-0.3486678153794615,-0.331728738144905,-0.31276951040173817,-0.29649403348742615,-0.2828200286445726,-0.27119596403471435,-0.26120277274225956,-0.25250685329489964,-0.2448711032544933,-0.23810527369703477,-0.23204373738474365,-0.22659881996116527,-0.22164246055308404,-0.21713065665756312},
+{0.39340819738559407,-0.52101379455264,-0.6344718745175686,-0.5566002206818782,-0.48107727677037726,-0.42443903885967815,-0.37849511954355436,-0.34858979254481315,-0.3316289314715062,-0.3126664235904732,-0.29639569956346934,-0.2827270310776047,-0.27110788193986335,-0.26111908013548757,-0.2524270345978197,-0.24479470072836756,-0.23803189744180098,-0.23197306321713446,-0.22653056385141127,-0.22157639135116214,-0.21706656760660484},
+{0.38919304139697125,-0.5224406263886672,-0.6347992008664869,-0.5565801840834589,-0.48097293483386516,-0.4243178089803439,-0.3783619947833755,-0.34851201264080844,-0.33152904470020444,-0.31256336351559355,-0.2962974153936082,-0.28263408987206284,-0.27101985836387404,-0.26103544622026154,-0.25234727386061195,-0.2447183550676395,-0.2379585768147618,-0.23190244340197966,-0.22646236083456045,-0.22151037401775125,-0.21700252925443325},
+{0.38498514742244394,-0.5238630697888216,-0.6351238850900256,-0.5565591457887233,-0.48086820196969776,-0.42419642772461064,-0.3782289503998025,-0.34843446907876,-0.33142907922907683,-0.3124603306673194,-0.2961991812200615,-0.2825412051749546,-0.2709318934089111,-0.26095187106797957,-0.2522675711351065,-0.24464206631064783,-0.23788531184441256,-0.23183187796030952,-0.2263942109258955,-0.22144440856355485,-0.2169385416081659},
+{0.38078451430524907,-0.5252811352871795,-0.6354459392035772,-0.5565371118053946,-0.4807630811695594,-0.42407489671676235,-0.37809598709651515,-0.3483571552435505,-0.3313290364459176,-0.31235732553105233,-0.2961009972825729,-0.28244837713169296,-0.2708439871758229,-0.26086835474898307,-0.2521879264722614,-0.24456583449495023,-0.2378121025585582,-0.23176136691255533,-0.22632611414012488,-0.22137849499878093,-0.21687460467445946},
+{0.3765911408237688,-0.526694833336904,-0.6357653751730655,-0.5565140881090017,-0.48065757540712645,-0.42395321757052595,-0.37796310555914703,-0.3482800644997943,-0.33122891772822427,-0.312254348587404,-0.2960028638184212,-0.2823556058861241,-0.27075613976415225,-0.2607848973325616,-0.2521083399221345,-0.24448965965734726,-0.2377389489843418,-0.23169091027853111,-0.22625807049141866,-0.22131263333311824,-0.2168107184595086},
+{0.3724050256919513,-0.5281041743113828,-0.6360822049151391,-0.5564900806430545,-0.4805516876381687,-0.4238313918891071,-0.377830306455592,-0.3482031901978604,-0.3311287244432734,-0.3121514003122789,-0.2959047810624881,-0.2822628915805817,-0.2706683512721684,-0.26070149888699784,-0.25202881153395723,-0.24441354183391614,-0.23766585114826244,-0.23162050807749823,-0.2261900799934326,-0.22124682357581144,-0.21674688296907088},
+{0.36822616755973087,-0.529509168505349,-0.6363964402973512,-0.5564650953192125,-0.4804454208006415,-0.42370942126529004,-0.3776975904363017,-0.3481265256796052,-0.33102845794811475,-0.312048481176868,-0.29580674924722017,-0.28217023435581956,-0.27058062179684467,-0.2606181594795115,-0.2519493413560586,-0.24433748105994552,-0.2375928090761364,-0.23155016032807327,-0.22612214265925212,-0.22118106573556853,-0.2166830982084242},
+{0.3640545650134498,-0.5309098261359946,-0.6367080931383425,-0.5564391380174606,-0.48033877781481527,-0.4235873072814802,-0.37756495813458185,-0.34805006428394114,-0.330928119589609,-0.3119455916477274,-0.29570876860266576,-0.2820776343510899,-0.2704929514338906,-0.26053487917633256,-0.2518699294359396,-0.24426147737002096,-0.23751982279313383,-0.23147986704833734,-0.22605425850145602,-0.22111535982063185,-0.21661936418243735},
+{0.3598902165762719,-0.5323061573440808,-0.6370171752080264,-0.5564122145862584,-0.4802317615833612,-0.4234650515097792,-0.3774324101668893,-0.34797379935220224,-0.3308277107044788,-0.311842732186816,-0.295610839356529,-0.2819850917041339,-0.2704053402777602,-0.260451658042665,-0.25179057582024433,-0.24418553079798194,-0.2374468923237976,-0.2314096282557651,-0.2259864275320989,-0.22104970583876055,-0.21655568089548738},
+{0.3557331207086015,-0.5336981721950359,-0.637323698227769,-0.5563843308427225,-0.4801243749914823,-0.4233426555120554,-0.3772999471331247,-0.3478977242332847,-0.3307272326192979,-0.31173990325150663,-0.29551296173412533,-0.2818926065511752,-0.2703177884216374,-0.26036849614270624,-0.2517112805547791,-0.24410964137693972,-0.23737401769199484,-0.23133944396724868,-0.22591864976269607,-0.2209841037972255,-0.2164920483515581},
+{0.35158327580848936,-0.535085880680049,-0.6376276738705734,-0.5563554925727994,-0.4800166209069926,-0.4232201208399923,-0.37716756961689285,-0.34782183228860764,-0.33062668665057915,-0.31163710529468114,-0.2954151359584736,-0.2818001790269774,-0.27023029595748804,-0.2602853935396719,-0.2516320436845175,-0.24403380913927547,-0.23730119892098084,-0.23126931419913177,-0.22585092520425212,-0.2209185537028413,-0.21642846655416126},
+{0.34744068021205404,-0.5364692927171512,-0.6379291137612559,-0.5563257055314109,-0.47990850218043735,-0.4230974490351688,-0.37703527818580806,-0.3477461168968614,-0.33052607410476953,-0.3115343387647157,-0.29531736225024896,-0.28170780926480676,-0.27014286297603735,-0.26020235029578503,-0.2515528652535973,-0.24395803411667627,-0.23722843603337468,-0.23119923896718003,-0.22578325386727152,-0.22085305556194584,-0.21636493550638336},
+{0.34330533219388204,-0.5378484181522944,-0.6382280294766309,-0.5562949754426441,-0.47980002164519375,-0.422974641629122,-0.376903073391746,-0.34767057145854513,-0.3304253962782844,-0.3114316041055516,-0.29521964082783353,-0.28161549739645936,-0.2700554895667677,-0.2601193664722685,-0.2514737453053351,-0.24388231634008678,-0.23715572905114835,-0.23112921828658456,-0.22571563576171788,-0.22078760938038922,-0.2163014552108764},
+{0.3391772299674405,-0.5392232667604174,-0.6385244325456911,-0.5562633079998944,-0.4796911821175613,-0.42285170014340256,-0.3767709557711499,-0.34759518940037093,-0.3303246544575812,-0.3113289017567429,-0.2951219719073397,-0.2815232435522829,-0.2699681758179836,-0.2600364421293948,-0.2513946838822409,-0.24380665583977248,-0.23708307799567663,-0.23105925217198914,-0.22564807089707883,-0.22072221516358967,-0.21623802566984818},
+{0.3350563716854828,-0.5405938482465003,-0.6388183344497819,-0.5562307088660335,-0.4795819863968944,-0.4227286260896521,-0.3766389258452782,-0.3475199641794049,-0.3302238499191448,-0.3112262321534722,-0.29502435570261665,-0.28143104786117834,-0.2698809218167717,-0.25995357732646773,-0.2513156810260068,-0.24373105264528144,-0.23701048288770094,-0.23098934063748555,-0.22558055928232684,-0.22065687291648284,-0.21617464688510712},
+{0.33094275544044954,-0.5419601722466252,-0.639109746622788,-0.556197183673585,-0.479472437265672,-0.4226054209696387,-0.3765069841204627,-0.34744488928705863,-0.33012298392958056,-0.31112359572660164,-0.294926792425268,-0.281338910450622,-0.2697937276490098,-0.25987077212182125,-0.25123673677752056,-0.24365550678547437,-0.23693794374735344,-0.23091948369661655,-0.2255131009259333,-0.2205915826435519,-0.21611131885799745},
+{0.3268363792648725,-0.5433222483290098,-0.6393986804513012,-0.5561627380248663,-0.47936253748961793,-0.42248208627536177,-0.3763751310883957,-0.34736995825291206,-0.3300220577456017,-0.3110209929027198,-0.29482928228467375,-0.281246831446654,-0.2697065933994065,-0.25978802657284505,-0.2511578511768814,-0.24358001828852255,-0.2368654605941475,-0.23084968136236725,-0.22544569583586896,-0.22052634434884197,-0.21604804158946245},
+{0.3227372411317756,-0.5446800859950411,-0.6396851472748063,-0.556127377492167,-0.4792522898177911,-0.42235862348906755,-0.37624336722635343,-0.3472951646483018,-0.32992107261409664,-0.31091842410415443,-0.2947318254880008,-0.28115481097389916,-0.2696195191514806,-0.2597053407359795,-0.25107902426338535,-0.24350458718190326,-0.2367930334470129,-0.23077993364718838,-0.22537834401963697,-0.22046115803592797,-0.21598481508001693},
+{0.31864533895507163,-0.5460336946803065,-0.6399691583858591,-0.5560911076178969,-0.47914169698268894,-0.4222350340833466,-0.37611169299749775,-0.3472205020898258,-0.32982002977217806,-0.3108158897490533,-0.2946344222402507,-0.2810628491555897,-0.26953250498760406,-0.2596227146667441,-0.2510002560755599,-0.2434292134924293,-0.23672066232426212,-0.23071024056299438,-0.22531104548424255,-0.2203960237079542,-0.2159216393297477},
+{0.31456067058995796,-0.5473830837556051,-0.6402507250302562,-0.5560539339147494,-0.4790307617003571,-0.42211131952118436,-0.3759801088510958,-0.3471459642425508,-0.3297189304471942,-0.3107133902513719,-0.2945370727442167,-0.2809709461135472,-0.26944555098896866,-0.25954014841969947,-0.2509215466511276,-0.2433538972462167,-0.2366483472436061,-0.23064060212115783,-0.22524380023618418,-0.22033094136761205,-0.21585851433833098},
+{0.3104832338333141,-0.5487282625279536,-0.6405298584072112,-0.5560158618658575,-0.4789194866704737,-0.4219874812560087,-0.37584861522277413,-0.34707154482319835,-0.32961777585679924,-0.31061092602096796,-0.2944397772005708,-0.2808791019682343,-0.2693586572356388,-0.25945764204852534,-0.25084289602707055,-0.24327863846875328,-0.23657608822219645,-0.23057101833254662,-0.2251766082815296,-0.22026591101717044,-0.21579544010503732},
+{0.30641302642409163,-0.5500692402415859,-0.640806569669539,-0.555976896924953,-0.47880787457645124,-0.4218635207317695,-0.3757172125347663,-0.3469972376030168,-0.3295165672089815,-0.31050849746357445,-0.29434253580783265,-0.2807873168387117,-0.26927182380651105,-0.2593751956059452,-0.2507643042395795,-0.24320343718481624,-0.23650388527657196,-0.23050148920746502,-0.22510946962581557,-0.22020093265844515,-0.2157324166287014},
+{0.3023500460437081,-0.551406026078949,-0.6410808699238211,-0.5559370445165317,-0.47869592808553685,-0.42173943938298736,-0.37558590119615753,-0.34692303641062117,-0.3294153057020987,-0.3104061049808876,-0.2942453487623943,-0.2806955908426889,-0.26918505077938276,-0.2592928091438008,-0.25068577132408343,-0.24312829341854864,-0.2364317384226901,-0.23043201475574085,-0.22504238427415513,-0.22013600629282762,-0.21566944390776688},
+{0.2982942903164338,-0.552738629161671,-0.6413527702305858,-0.5558963100359842,-0.47858364984890545,-0.4216152386348171,-0.37545468160311846,-0.3468489351345844,-0.3293139925249418,-0.31030374897058277,-0.294148216258567,-0.28060392409652335,-0.269098338230902,-0.2592104827130148,-0.2506072973152683,-0.24305320719343898,-0.23635964767594636,-0.2303625949866402,-0.22497535223116139,-0.2200711319212792,-0.21560652194025026},
+{0.29424575680977766,-0.5540670585515451,-0.6416222816044788,-0.5558546988497809,-0.4784710425017666,-0.42149091990311116,-0.37532355413916707,-0.3467749277259414,-0.32921262885677316,-0.3102014298263478,-0.29405113848855113,-0.28051231671520693,-0.2690116862366108,-0.2591282163636296,-0.25052888224706704,-0.24297817853232145,-0.23628761305114598,-0.2302932299089533,-0.22490837350099646,-0.2200063095443348,-0.21554365072379947},
+{0.2902044430348804,-0.555391323251481,-0.6418894150144353,-0.5558122162956031,-0.47835810866344236,-0.4213664845944618,-0.3751925191753521,-0.34670100820050054,-0.3291112158673586,-0.31009914793793636,-0.29395411564250445,-0.2804207688124204,-0.26892509487095545,-0.2590460101448007,-0.2504505261526653,-0.24290320745739197,-0.23621563456254546,-0.230223919530943,-0.2248414480873694,-0.2199415391621221,-0.215480830255633},
+{0.28617034644688966,-0.5567114322064655,-0.6421541813838566,-0.555768867682505,-0.4782448509374796,-0.42124193410628563,-0.3750615770705254,-0.34662717064102977,-0.3290097547170252,-0.3099969036911838,-0.29385714790849904,-0.2803292805004909,-0.26883856420727337,-0.25896386410479066,-0.2503722290645096,-0.24282829399020456,-0.23614371222382086,-0.2301546638603645,-0.22477457599350725,-0.21987682077432577,-0.21541806053258025},
+{0.2821434644453461,-0.5580273943045051,-0.6424165915907802,-0.5557246582910756,-0.4781312719117376,-0.42111726982686337,-0.3749307281715503,-0.34655340919931,-0.3289082465567166,-0.30989469746804726,-0.2937602354726033,-0.2802378518904471,-0.26875209431782154,-0.258881778291002,-0.25029399101431726,-0.24275343815168648,-0.23607184604809955,-0.23008546290449933,-0.22470775722221714,-0.21981215438024038,-0.21535534155109573},
+{0.27812379437456447,-0.5593392183775593,-0.6426766564680512,-0.5556795933735716,-0.4780173741584687,-0.4209924931353962,-0.3747999728135294,-0.3464797180980336,-0.328806692528007,-0.3097925296466514,-0.2936633785188443,-0.2801464830919938,-0.26866568527377255,-0.25879975274996325,-0.25021581203307375,-0.24267863996211808,-0.23600003604795075,-0.23001631667009417,-0.22464099177582458,-0.2197475399787318,-0.2152926733072124},
+{0.2741113335240093,-0.560646913202467,-0.6429343868034917,-0.5556336781540762,-0.47790316023444196,-0.4208676054020788,-0.3746693113200283,-0.34640609163257124,-0.32870509376317536,-0.3096904006012906,-0.2935665772292392,-0.2800551742135185,-0.2685793371452203,-0.2587177875273356,-0.2501376921510392,-0.24260389944117172,-0.23592828223537654,-0.22994722516342359,-0.22457427965621618,-0.21968297756825167,-0.21523005579661011},
+{0.27010607912867457,-0.5619504875018607,-0.6431897933400754,-0.5555869178286558,-0.4777886326810098,-0.4207426079881367,-0.3745387440032918,-0.34633252417265176,-0.3286034513852587,-0.3095883107025308,-0.29346983178384767,-0.2799639253621562,-0.26849305000121454,-0.25863588266794413,-0.250059631397778,-0.24252921660790555,-0.23585658462186623,-0.22987818839027593,-0.22450762086485915,-0.21961846714687833,-0.2151674890145795},
+{0.2661080283694573,-0.5632499499450799,-0.6434428867760924,-0.5555393175654985,-0.47767379402420784,-0.4206175022458989,-0.37440827116444275,-0.3462590101638614,-0.32850176650806984,-0.30948626031716425,-0.29337314236072315,-0.2798727366437237,-0.2684068239097316,-0.25855403821575573,-0.2499816298021153,-0.24245459148074117,-0.23578494321833043,-0.22980920635593488,-0.22444101540274708,-0.21955400871225134,-0.21510497295602807},
+{0.26211717837353044,-0.5645453091490604,-0.643693677765319,-0.555490882505076,-0.47755864677485016,-0.4204922895188471,-0.3742778930937215,-0.3461855441290338,-0.3284000402362721,-0.3093842498082872,-0.2932765091359745,-0.27978160816276154,-0.2683206589377071,-0.25847225421389514,-0.24990368739218977,-0.24238002407751413,-0.2357133580351622,-0.22974027906522687,-0.22437446327045768,-0.21948960226163558,-0.21504250761550753},
+{0.2581335262147146,-0.5658365736792316,-0.6439421769171958,-0.5554416177602693,-0.477443193428615,-0.42036697114166943,-0.37414761007067654,-0.34611212066958763,-0.32829827366542247,-0.3092822795353324,-0.29317993228377826,-0.27969054002255894,-0.2682345551510373,-0.25839053070465623,-0.24982580419543282,-0.2423055144154388,-0.23564182908222445,-0.22967140652248919,-0.22430796446812878,-0.21942524779189568,-0.21498009298718185},
+{0.25415706891385037,-0.5671237520503865,-0.6441883947969822,-0.5553915284165415,-0.4773274364661408,-0.4202415484403301,-0.3740174223643876,-0.3460387344666457,-0.32819646788199874,-0.30918034985408466,-0.293083411976371,-0.27959953232512924,-0.2681485126145893,-0.25830886772951384,-0.24974798023859066,-0.24223106251113924,-0.23557035636882773,-0.2296025887315816,-0.2242415189954754,-0.21936094529949357,-0.21491772906488235},
+{0.250187803439161,-0.5684068527275615,-0.6444323419259327,-0.5553406195320627,-0.47721137835311567,-0.42011602273209686,-0.37388733023363685,-0.3459653802821498,-0.32809462396349387,-0.30907846111673487,-0.2929869483840911,-0.2795085851712504,-0.2680625313922075,-0.2582272653291107,-0.2496702155477084,-0.24215666838063626,-0.23549893990378584,-0.229533825695896,-0.22417512685178087,-0.21929669478051844,-0.2148554158420558},
+{0.24622572670662518,-0.5696858841268877,-0.6446740287814607,-0.5552888961378684,-0.47709502154036243,-0.4199903953256246,-0.3737573339271385,-0.34589205295979036,-0.3279927429784193,-0.30897661367189017,-0.2928905416753702,-0.2794176986604354,-0.2679766115467208,-0.25814572354327575,-0.2495925101481543,-0.24208233203937662,-0.23542757969536576,-0.22946511741836612,-0.22410878803590595,-0.21923249623066143,-0.21479315331181598},
+{0.24227083558033452,-0.5709608546164493,-0.6449134657973045,-0.5552363632379996,-0.47697836846392305,-0.4198646675209896,-0.3736274336837283,-0.34581874742586927,-0.3278908259863782,-0.3088748078646141,-0.2927941920167656,-0.279326872890977,-0.26789075313993704,-0.2580642424110374,-0.24951486406461032,-0.24200805350218843,-0.23535627575133172,-0.22939646390144175,-0.22404250254629066,-0.2191683496452403,-0.21473094146690758},
+{0.2383231268728621,-0.5722317725171213,-0.6451506633637026,-0.5551830258096405,-0.476861421545154,-0.41973884060975664,-0.3734976297325533,-0.3457454586900939,-0.327788874038107,-0.3087730440364701,-0.2926978995729618,-0.27923610795992526,-0.2678049562326864,-0.2579828219706081,-0.24943727732108906,-0.24193383278335556,-0.23528502807891935,-0.2293278651471392,-0.2239762703809669,-0.21910425501918168,-0.21466878029973113},
+{0.23438259734562245,-0.5734986461034017,-0.6453856318275413,-0.5551288888032768,-0.47674418319083095,-0.4196129158750356,-0.3733679222932844,-0.34567218184621107,-0.3276868881755477,-0.3086713225255414,-0.29260166450681635,-0.27914540396312726,-0.26771922088479894,-0.2579014622594225,-0.24935974994095084,-0.24185966989655283,-0.23521383668487517,-0.22925932115700046,-0.22391009153754737,-0.2190402123470463,-0.21460666980236465},
+{0.2304492437092291,-0.5747614836042402,-0.6456183814925402,-0.5550739571428194,-0.4766266557931983,-0.4194868945915021,-0.3732383115762662,-0.345598912072618,-0.32758486943186343,-0.30856964366645845,-0.292505486979319,-0.27905476099520987,-0.2676335471551129,-0.2578201633141127,-0.24928228194686347,-0.2417855648549037,-0.23514270157542144,-0.22919083193212603,-0.2238439660132405,-0.218976221623016,-0.21454460996652058},
+{0.2265230626238529,-0.576020293203846,-0.6458489226193996,-0.5550182357257603,-0.4765088417300888,-0.41936077802550775,-0.37310879778274303,-0.3455256446328282,-0.32748281883151803,-0.3084680077904378,-0.29240936714966015,-0.2789641791495945,-0.26754793510149366,-0.2577389251705298,-0.24920487336085617,-0.24171151767095486,-0.23507162275628657,-0.2291223974731545,-0.22377789380483398,-0.21891228284089784,-0.21448260078358902},
+{0.22260405069958006,-0.5772750830424919,-0.6460772654259709,-0.554961729423302,-0.4763907433649799,-0.41923456743507015,-0.3729793811050142,-0.3454523748758884,-0.3273807373903016,-0.30836641522530783,-0.29231330517520837,-0.2788736585185019,-0.2674623847808323,-0.2576577478637519,-0.24912752420429377,-0.24163752835668484,-0.23500060023270575,-0.2290540177802999,-0.22371187490873518,-0.2188483959941523,-0.2144206422446319},
+{0.21869220449676458,-0.5785258612173166,-0.6463034200874294,-0.5549044430805167,-0.47627236304711484,-0.41910826406997514,-0.3728500617266432,-0.34537909823673185,-0.32727862611541514,-0.3082648662955473,-0.292217301211559,-0.27878319919297,-0.2673768962490751,-0.25757663142807585,-0.24905023449791347,-0.24156359692352164,-0.23492963400940897,-0.22898569285331688,-0.22364590932093983,-0.21878456107583577,-0.21435873434036484},
+{0.21478752052638048,-0.5797726357831039,-0.646527396736416,-0.5548463815164553,-0.4761537031115575,-0.4189818691718057,-0.372720839822615,-0.34530581023638385,-0.32717648600548943,-0.3081633613222942,-0.2921213554125063,-0.278692801262849,-0.26729146956119,-0.2574955758970405,-0.24897300426177904,-0.24148972338232577,-0.2348587240906368,-0.22891742269151508,-0.2235799970370358,-0.21872077807868115,-0.2142968770611814},
+{0.21088999525037558,-0.5810154147530622,-0.6467492054632207,-0.5547875495243089,-0.47603476587929566,-0.4188553839739864,-0.3725917155595224,-0.34523250648219855,-0.32707431805065773,-0.3080619006234173,-0.29202546793009954,-0.27860246481683143,-0.26720610477121565,-0.2574145813034311,-0.2488958335153466,-0.24141590774342897,-0.23478787048016167,-0.22884920729381078,-0.22351413805225284,-0.21865704699504096,-0.21423507039717854},
+{0.20699962508201708,-0.5822542060995914,-0.6469688563159339,-0.554727951871544,-0.4759155536573199,-0.4187288097018633,-0.37246268909572566,-0.3451591826679089,-0.32697212323259994,-0.3079604845134919,-0.29192963891462287,-0.27851218994242244,-0.2671208019322357,-0.25733364767926603,-0.24881872227741608,-0.24134215001659065,-0.23471707318124957,-0.22878104665863425,-0.22344833236138578,-0.21859336781691208,-0.21417331433808848},
+{0.20311640638624218,-0.5834890177550401,-0.6471863593006053,-0.5546675933000406,-0.47579606873868885,-0.4186021475727192,-0.37233376058154916,-0.3450858345737031,-0.32686990252458314,-0.30785911330386345,-0.2918338685146329,-0.278421976725974,-0.2670355610964123,-0.257252775055822,-0.2487416705661729,-0.2412684502110377,-0.23464633219670167,-0.22871294078403182,-0.2233825799588765,-0.2185297405359493,-0.21411160887335423},
+{0.1992403354800033,-0.5847198576124563,-0.6474017243814134,-0.554606478526201,-0.4756763134026367,-0.41847539879584245,-0.3722049301594127,-0.3450124580661855,-0.3267676568915394,-0.3077577873026653,-0.29173815687696425,-0.2783318252526888,-0.26695038231496965,-0.25717196346363197,-0.24866467839916806,-0.24119480833546164,-0.23457564752883858,-0.2286448896675956,-0.2233168808387616,-0.2184661651434421,-0.21404995399207716},
+{0.19537140863261188,-0.585946733526329,-0.6476149614808209,-0.5545446122411407,-0.47555628991466786,-0.41834856457260355,-0.37207619796406277,-0.3449390490982956,-0.3266653872900963,-0.30765650681486334,-0.2916425041467397,-0.27824173560663773,-0.2668652656382321,-0.2570912129325005,-0.24858774579335635,-0.24112122439802042,-0.23450501917951821,-0.22857689330652864,-0.22325123499471172,-0.2184026416303404,-0.21398834968310126},
+{0.191509622066081,-0.587169653313312,-0.6478260804797311,-0.5544819991107575,-0.4754360005265823,-0.4182216460964404,-0.37194756412264596,-0.3448656037091513,-0.32656309466862765,-0.3075552721422601,-0.29154691046737774,-0.2781517078707325,-0.26678021111558714,-0.25701052349148923,-0.24851087276504358,-0.2410476984063305,-0.23443444715011796,-0.22850895169757993,-0.22318564242001332,-0.21833916998724295,-0.21392679593489583},
+{0.1876549719554675,-0.5883886247529507,-0.6480350912176517,-0.5544186437759194,-0.4753154474766188,-0.41809464455296463,-0.3718190287549422,-0.3447921180238477,-0.32646077996732914,-0.3074540835835203,-0.29145137598063103,-0.2780617421267635,-0.26669521879552743,-0.2569298951689404,-0.24843405932995222,-0.2409742303674975,-0.23436393144156115,-0.22844106483710275,-0.2231201031075729,-0.2182757502044103,-0.21386529273565413},
+{0.1838074544292112,-0.589603655588395,-0.648242003492855,-0.554354550852576,-0.4751946329895006,-0.4179675611199993,-0.3716905919734974,-0.34471858825320123,-0.3263584441182485,-0.30735294143424385,-0.29135590082657653,-0.2779718384554119,-0.2666102887256506,-0.2568493279924798,-0.24835730550320545,-0.2409008202880967,-0.23429347205431317,-0.22837323272105012,-0.22305461704993634,-0.21821238227176987,-0.21380384007327152},
+{0.179967065569471,-0.5908147535270997,-0.6484468270625319,-0.5542897249318853,-0.4750735592765231,-0.41784039696760533,-0.3715622538837712,-0.3446450106934359,-0.32625608804533845,-0.3072518459869246,-0.29126048514363434,-0.2778819969362225,-0.2665254209526657,-0.2567688219890208,-0.24828061129930262,-0.2408274681741797,-0.23422306898836898,-0.2283054553449479,-0.22298918423927025,-0.21814906617889143,-0.21374243793531145},
+{0.1761338014124632,-0.59202192624152,-0.6486495716429509,-0.5542241705803539,-0.4749522285356455,-0.41771315325815783,-0.3714340145843231,-0.3445713817257975,-0.3261537126645119,-0.30715079753103924,-0.2911651290685753,-0.27779221764764345,-0.2664406155223787,-0.2566883771847517,-0.2482039767321641,-0.2407541740312979,-0.23415272224328043,-0.2282377327039206,-0.22292380466737372,-0.21808580191502824,-0.2136810863090597},
+{0.17230765794879616,-0.5932251813697966,-0.6488502469096137,-0.5541578923399717,-0.474830642951553,-0.4175858311463716,-0.37130587416692196,-0.344497697816179,-0.3260513188837216,-0.3070497963530404,-0.2910698327365624,-0.27770250066703284,-0.266355872479742,-0.2566079936051904,-0.24812740181512855,-0.24068093786448946,-0.2340824318181644,-0.22817006479271498,-0.22285847832570332,-0.21802258946910247,-0.21361978518150188},
+{0.16848863112380083,-0.5944245265164331,-0.6490488624974163,-0.5540908947283322,-0.47470880469575094,-0.4174584317793645,-0.3711778327167195,-0.3444239555146171,-0.32594890760295503,-0.3069488427363899,-0.2909745962811123,-0.2776128460706343,-0.2662711918688139,-0.2565276712751199,-0.24805088656092306,-0.24060775967826603,-0.2340121977116609,-0.2281024516056269,-0.22279320520531995,-0.21795942882969052,-0.21355853453930476},
+{0.16467671683786334,-0.5956199692529606,-0.6492454280008039,-0.5540231822387766,-0.47458671592662205,-0.4173309562966986,-0.371049890312394,-0.3443501514548129,-0.325846479714341,-0.3068479369615852,-0.29087941983416954,-0.2775232539336203,-0.2661865737328025,-0.2564474102186621,-0.24797443098171956,-0.24053463947667342,-0.23394201992199223,-0.22803489313662323,-0.22272798529696314,-0.21789631998506773,-0.21349733436886809},
+{0.16087191094675618,-0.5968115171185976,-0.6494399529739177,-0.553954759340501,-0.47446437878952885,-0.4172034058304369,-0.37092204702629905,-0.3442762823535707,-0.3257440361021682,-0.30674707930619394,-0.2907843035260633,-0.2774337243300764,-0.26610201811404793,-0.2563672104592384,-0.2478980350890937,-0.24046157726322914,-0.23387189844693523,-0.22796738937923444,-0.2226628185909966,-0.2178332629231712,-0.2134361846562749},
+{0.15707420926196647,-0.5979991776209023,-0.6496324469307663,-0.5538856304787092,-0.47434179541688404,-0.4170757815051788,-0.37079430292460275,-0.34420234501020186,-0.3256415776429547,-0.3066462700448618,-0.2906892474855508,-0.27734425733301804,-0.2660175250540522,-0.2562870720195878,-0.24782169889406983,-0.24038857304097344,-0.23380183328383022,-0.22789994032661226,-0.222597705077444,-0.21777025763161673,-0.2133750853873405},
+{0.15328360755101733,-0.5991829582364081,-0.6498229193453647,-0.5538158000747273,-0.4742189679282166,-0.4169480844381006,-0.3706666580674105,-0.34412833630589723,-0.3255391052054962,-0.30654550944935877,-0.2905942518398348,-0.2772548530143985,-0.2659330945934505,-0.2562069949217815,-0.24774542240708614,-0.240315626812438,-0.2337318244295805,-0.22783254597152452,-0.22253264474596682,-0.21770730409770883,-0.2133140365475583},
+{0.1495001015378007,-0.6003628664112614,-0.6500113796518986,-0.5537452725261311,-0.47409589843026223,-0.416820315739028,-0.37053911250893506,-0.3440542532030565,-0.32543661965091003,-0.306444797788591,-0.2904993167145461,-0.277165511445118,-0.2658487267720618,-0.2561269791872127,-0.24766920563802447,-0.2402427385797,-0.2336618718806719,-0.22776520630635402,-0.22246763758589114,-0.2176444023084322,-0.2132530381221569},
+{0.14572368690289395,-0.6015389095618382,-0.6501978372448688,-0.553674052206877,-0.4739725890170239,-0.4166924765104536,-0.37041166629760525,-0.3439800927445609,-0.32533412183270216,-0.3063441353286255,-0.2904044422337885,-0.2770762326950123,-0.26576442162885683,-0.2560470248366156,-0.24759304859621106,-0.24016990834431892,-0.23359197563317016,-0.22769792132311933,-0.2224026835862044,-0.2175815522504683,-0.21319209009607828},
+{0.14195435928388597,-0.602711095075366,-0.650382301479259,-0.5536021434674206,-0.4738490417698593,-0.41656456784759843,-0.3702843194762081,-0.34390585205305724,-0.3252316125968045,-0.3062435223327233,-0.290309628520131,-0.276987016832875,-0.26568017920198633,-0.2559671318900528,-0.24751695129041362,-0.24009713610739203,-0.23352213568269156,-0.227630691013442,-0.2223377827355409,-0.2175187539101816,-0.2131311924539575},
+{0.13819211427569517,-0.6038794303105226,-0.6505647816706701,-0.5535295506348543,-0.4737252587575662,-0.4164365908384756,-0.37015707208204357,-0.34383152833015407,-0.3251290927816316,-0.30614295906135924,-0.2902148756946255,-0.2768978639264727,-0.2655959995287874,-0.25588730036694673,-0.24744091372885446,-0.24002442186954032,-0.2334523520244628,-0.22756351536857786,-0.22227293502219966,-0.21745600727361908,-0.21307034518017834},
+{0.13443694743089069,-0.6050439225980414,-0.6507452870954887,-0.5534562780130151,-0.47360124203642656,-0.41630854656387617,-0.37002992414700264,-0.3437571188556328,-0.3250265632181435,-0.3060424457722465,-0.2901201838768134,-0.2768087740425403,-0.2655118826457665,-0.2558075302860644,-0.2473649359192054,-0.23995176563091436,-0.23338262465328669,-0.22749639437942576,-0.22220814043415998,-0.2173933123265364,-0.21300954825881352},
+{0.13068885426000454,-0.6062045792412952,-0.6509238269910245,-0.5533823298826228,-0.47347699365031554,-0.41618043609748856,-0.3699028756977387,-0.34368262098660585,-0.3249240247298821,-0.30594198272036305,-0.29002555318475826,-0.27671974724677934,-0.2654278285886406,-0.2557278216655201,-0.24728901786859991,-0.2398791673911947,-0.2333129535635484,-0.2274293280364795,-0.2221433989590385,-0.2173306690543782,-0.21294880167366656},
+{0.12694783023185444,-0.6073614075168734,-0.6511004105556699,-0.5533077105013979,-0.4733525156307409,-0.41605226050588784,-0.3697759267557784,-0.3436080321566351,-0.32482147813303,-0.305841570157964,-0.289930983735028,-0.27663078360388926,-0.265343837392319,-0.2556481745228043,-0.24721315958363893,-0.23980662714959766,-0.2332433387492374,-0.22736231632992537,-0.22207871058416212,-0.2172680774423086,-0.2128881054082743},
+{0.12321387077385253,-0.6085144146751632,-0.6512750469490531,-0.5532324241041804,-0.4732278099969415,-0.4159240208486006,-0.36964907733763586,-0.3435333498748758,-0.3247189242364641,-0.30574120833462803,-0.28983647564272674,-0.27654188317754774,-0.2652599090909211,-0.25556858887475525,-0.2471373610703784,-0.23973414490487843,-0.233173780203921,-0.22729535924953626,-0.2220140752965028,-0.2172055374751597,-0.21282745944588155},
+{0.11948697127231574,-0.6096636079409082,-0.6514477452921784,-0.5531564749030609,-0.47310287875596013,-0.4157957181781633,-0.36952232745494923,-0.34345857172512456,-0.3246163638417896,-0.3056408974972523,-0.2897420290214953,-0.2764530460304283,-0.26517604371775827,-0.25548906473758237,-0.24706162233435836,-0.23966172065533023,-0.23310427792077693,-0.2272284567847475,-0.2219494930827056,-0.2171430491374909,-0.21276686376945722},
+{0.11576712707278664,-0.6108089945137595,-0.651618514667583,-0.5530798670874835,-0.47297772390269793,-0.4156673535401272,-0.3693956771145949,-0.34338369536494207,-0.32451379774343503,-0.30554063789011254,-0.28964764398354415,-0.27636427222422766,-0.2650922413053953,-0.25540960212689373,-0.2469859433805911,-0.23958935439881024,-0.23303483189258883,-0.22716160892465564,-0.2218849639291214,-0.21708061241357343,-0.21270631836171647},
+{0.11205433348033023,-0.6119505815688326,-0.651787364119485,-0.5530026048243922,-0.4728523474200044,-0.4155389279731569,-0.3692691263187866,-0.3433087185246406,-0.3244112267286591,-0.305440429754845,-0.28955332063962236,-0.2762755618196379,-0.26500850188559144,-0.25533020105765114,-0.24691032421356135,-0.23951704613270866,-0.2329654421117362,-0.2270948156579689,-0.22182048782174807,-0.21701822728736922,-0.21264582320508796},
+{0.10834858575985336,-0.6130883762572381,-0.6519543026539294,-0.5529246922583334,-0.47272675127873254,-0.41541044250900916,-0.3691426750652185,-0.34323363900635695,-0.32430865157761396,-0.30534027333049973,-0.28945905909907466,-0.2761869148763706,-0.2649248254893475,-0.2552508615442137,-0.24683476483724817,-0.23944479585397876,-0.23289610857020943,-0.22702807697307786,-0.22175606474629714,-0.21695589374257154,-0.21258537828173657},
+{0.10464987913640252,-0.6142223857066157,-0.6521193392389409,-0.5528461335115672,-0.47260093743781684,-0.41528189817262945,-0.36901632334714596,-0.3431584546830539,-0.324206073063404,-0.3052401688535413,-0.2893648594698277,-0.27609833145315954,-0.2648412121468947,-0.2551715836003136,-0.24675926525510905,-0.23937260355912574,-0.2328268312596029,-0.2269613928580039,-0.2216916946881432,-0.21689361176257385,-0.21252498357355007},
+{0.100958208795473,-0.6153526170216584,-0.6522824828046663,-0.5527669326842215,-0.47247490784437285,-0.4151532959821824,-0.368890071153552,-0.34308316349754475,-0.32410349195214017,-0.3051401165579003,-0.2892707218584072,-0.2760098116077818,-0.2647576618877202,-0.25509236723910816,-0.24668382547010753,-0.2393004692442143,-0.23275761017114016,-0.22689476330044198,-0.22162737763236756,-0.21683138133049196,-0.2124646390621804},
+{0.09727356988331211,-0.6164790772846234,-0.6524437422435247,-0.5526870938543558,-0.4723486644337013,-0.41502463694905445,-0.36876391846917683,-0.34300776346145856,-0.32400090900297385,-0.30504011667495934,-0.289176646369945,-0.27592135539704077,-0.2646741747405411,-0.25501321247312275,-0.2466084454846888,-0.23922839290488496,-0.23268844529565266,-0.22682818828773033,-0.22156311356373287,-0.2167692024291632,-0.21240434472898598},
+{0.09359595750721983,-0.6176017735558409,-0.6526031264103489,-0.5526066210781322,-0.4722222091294221,-0.41489592207795545,-0.3686378652746878,-0.3429322526542501,-0.32389832496816967,-0.3049401694336022,-0.28908263310819204,-0.2758329628767833,-0.2645907507333335,-0.25493411931430593,-0.24653312530079724,-0.2391563745363312,-0.23261933662359136,-0.22676166780687082,-0.2214989024666899,-0.21670707504114242,-0.21234410055508074},
+{0.08992536673584942,-0.6187207128742136,-0.6527606441225443,-0.5525255183899058,-0.47209554384351615,-0.41476715236693673,-0.36851191154676755,-0.34285662922218363,-0.3237957405931326,-0.3048402750602267,-0.2889886821755445,-0.2757446341019224,-0.26450738989334743,-0.254855087774003,-0.24645786491989718,-0.23908441413333426,-0.23255028414503415,-0.22669520184454595,-0.22143474432540977,-0.2166449991487126,-0.21228390652131598},
+{0.08626179259950736,-0.6198359022577087,-0.6529163041602208,-0.5524437898023308,-0.4719686704763779,-0.41463832880740104,-0.3683860572582006,-0.34278089137728524,-0.32369315661648,-0.3047404337787619,-0.2888947936730274,-0.27565636912640584,-0.2644240922470823,-0.25477611786297344,-0.2463826643429476,-0.23901251169022922,-0.23248128784968838,-0.22662879038707995,-0.22137063912373053,-0.2165829747338867,-0.2122237626082849},
+{0.08260523009044952,-0.6209473487038344,-0.6530701152663396,-0.552361439306498,-0.47184159091693767,-0.41450945238419956,-0.36826030237800234,-0.3427050373963243,-0.3235905737700732,-0.30464064581069394,-0.28880096770030683,-0.27556816800326445,-0.2643408578203139,-0.25469720959140313,-0.24630752357041896,-0.23894066720094964,-0.23241234772688024,-0.2265624334204846,-0.2213065868452161,-0.21652100177839065,-0.21216366879633586},
+{0.078955674163178,-0.6220550591901263,-0.653222086146873,-0.552278470872041,-0.47171430704266226,-0.41438052407562853,-0.36813464687150377,-0.34262906561980144,-0.3234879927790888,-0.3045409113750971,-0.2887072043557509,-0.2754800307846042,-0.26425768663810423,-0.25461836296889456,-0.24623244260230598,-0.23886888065900347,-0.23234346376558745,-0.2264961309304381,-0.22124258747312914,-0.2164590802637069,-0.21210362506555952},
+{0.07531311973473559,-0.6231590406746053,-0.6533722254709248,-0.5521948884472461,-0.471586820719673,-0.41425154485349464,-0.36800909070043597,-0.3425529744508916,-0.3233854143620448,-0.3044412306886287,-0.28861350373635575,-0.27539195752158546,-0.26417457872477806,-0.2545395780044689,-0.24615742143811042,-0.23879715205747346,-0.23227463595439826,-0.22642988290228774,-0.22117864099042442,-0.21639721017101782,-0.21204363139578739},
+{0.07167756168499602,-0.6242593000962426,-0.6535205418708955,-0.5521106959591765,-0.471459133802789,-0.4141225156831476,-0.3678836338230611,-0.34247676235442226,-0.32328283923086826,-0.30434160396558385,-0.2885198659378373,-0.275303948264478,-0.2640915341039727,-0.25446085470659474,-0.2460824600768735,-0.2387254813890498,-0.2322058642815624,-0.22636368932108075,-0.2211147473797877,-0.21633539148127062,-0.21198368776662202},
+{0.06804899485696225,-0.6253558443754125,-0.6536670439426117,-0.5520258973137644,-0.47133124813559696,-0.4139934375235135,-0.3677582761942252,-0.3424004278558572,-0.32318026809093714,-0.30424203141788064,-0.28842629105459133,-0.2752160030626152,-0.264008552798607,-0.25438219308315557,-0.24600755851714318,-0.23865386864600066,-0.23213714873495436,-0.226297550171511,-0.2210509066235984,-0.21627362417513377,-0.21192379415740936},
+{0.064427414057049,-0.6264486804143339,-0.6538117402454692,-0.5519404963959519,-0.4712031655505311,-0.41386431132715823,-0.36763301776550084,-0.34232396954026,-0.32307770164111904,-0.30414251325510633,-0.28833277917971134,-0.27512812196445535,-0.2639256348308975,-0.2543035931414963,-0.24593271675701972,-0.2385823138201898,-0.23206848930210416,-0.2262314654379819,-0.2209871187039638,-0.2162119082330159,-0.21186395054725915},
+{0.060812814055374906,-0.6275378150975139,-0.6539546393025933,-0.5518544970697781,-0.47107488786892304,-0.41373513804028594,-0.36750785848522227,-0.34224738605128174,-0.3229751405738607,-0.3040430496845361,-0.28823933040502225,-0.2750403050175471,-0.2638427802223773,-0.2542250548883902,-0.24585793479412268,-0.238510816903087,-0.23199988597018661,-0.22616543510457318,-0.22092338360270009,-0.21615024363506605,-0.21180415691503454},
+{0.05720518958605096,-0.6286232552921744,-0.654095749600956,-0.5517679031785091,-0.4709464169010764,-0.41360591860283225,-0.36738279829861986,-0.34217067609014706,-0.3228725855751822,-0.3039436409111352,-0.28814594482106426,-0.274952552268549,-0.2637599889938776,-0.2541465783300692,-0.24578321262560893,-0.23843937788576192,-0.23193133872602195,-0.22609945915505003,-0.22085970130132854,-0.21608863036118325,-0.21174441323936494},
+{0.05360453534746379,-0.6297050078486748,-0.6542350795915273,-0.5516807185447317,-0.47081775444631707,-0.4134766539484478,-0.36725783714788524,-0.34209383841463814,-0.3227700373247641,-0.303844287137595,-0.2880526225171133,-0.27486486376323943,-0.263677261165555,-0.2540681634722039,-0.24570855024818816,-0.2383679967588775,-0.23186284755608305,-0.22603353757286965,-0.22079607178112232,-0.21602706839100838,-0.2116847194986467},
+{0.05001084600255995,-0.6307830796009307,-0.6543726376894254,-0.5515929469704748,-0.4706889022930848,-0.4133473450045807,-0.36713297497225406,-0.3420168718381153,-0.32266749649597615,-0.3037449885643457,-0.28795936358119506,-0.2747772395465033,-0.2635945967568898,-0.253989810319943,-0.24563394765811009,-0.23829667351272427,-0.2317944124465109,-0.22596767034118997,-0.22073249502305098,-0.21596555770392611,-0.21162507567103864},
+{0.04642411617913181,-0.6318574773668189,-0.65450843227404,-0.5515045922373255,-0.4705598622189865,-0.4132179926925102,-0.36700821170812636,-0.34193977522849484,-0.322564963755942,-0.30364574538958494,-0.28786616810008414,-0.2746896796623837,-0.26351199578668744,-0.25391151887788155,-0.24555940485116556,-0.2382254081371813,-0.23172603338309333,-0.22590185744285426,-0.22066897100782182,-0.2159040982790782,-0.2115654817344742},
+{0.04284434047009618,-0.6329282079485847,-0.654642471689189,-0.5514156581065021,-0.47043063599083695,-0.4130885979273374,-0.36688354728909855,-0.34186254750730183,-0.32246243976556854,-0.30354655780927625,-0.28777303615932426,-0.2746021841540377,-0.2634294582730773,-0.2538332891500814,-0.2454849218227067,-0.23815420062175896,-0.23165771035126922,-0.225836098860407,-0.22060549971586604,-0.21584269009534937,-0.21150593766664783},
+{0.03927151343377444,-0.6339952781332316,-0.6547747642432421,-0.5513261483190195,-0.4703012253647637,-0.412959161618097,-0.3667589816460658,-0.34178518764867455,-0.3223599251796142,-0.30344742601719377,-0.28767996784322003,-0.274514753063766,-0.2633469842335398,-0.25375512114007864,-0.2454104985676368,-0.23808305095557863,-0.2315894433361687,-0.22577039457609144,-0.22054208112733764,-0.2157813331313892,-0.211446443445042},
+{0.03570562959417285,-0.6350586946929088,-0.6549053182092726,-0.5512360665957428,-0.47017163208622725,-0.4128296846677341,-0.3666345147073218,-0.34170769467838924,-0.322257420646715,-0.3033483502049238,-0.2875869632348804,-0.2744273864330264,-0.26326457368488965,-0.25367701485088784,-0.2453361350804244,-0.23801195912738707,-0.23152123232257388,-0.22570474457186693,-0.22047871522214685,-0.21572002736559734,-0.2113869990469092},
+{0.03214668344125984,-0.6361184643852986,-0.655034141825189,-0.551145416637528,-0.47004185789012154,-0.4127001679731776,-0.36651014639861557,-0.34163006767295245,-0.32215492680944835,-0.30324933056189485,-0.28749402241618893,-0.274340084302422,-0.2631822266433048,-0.2535989702849891,-0.2452618313550981,-0.23794092512554632,-0.2314530772949311,-0.2256391488293803,-0.22041540197991133,-0.21565877277612877,-0.2113276044492815},
+{0.028594669431238354,-0.6371745939539831,-0.6551612432938766,-0.5510542021253173,-0.469911904500824,-0.41257061242537085,-0.366385876643226,-0.3415523057585901,-0.3220524443043678,-0.30315036727537714,-0.2874011454678273,-0.2742528467117128,-0.26309994312428686,-0.2535209874443504,-0.2451875873852396,-0.2378699489380467,-0.2313849782373665,-0.2255736073299916,-0.22035214137999826,-0.21559756934090463,-0.211268259628965},
+{0.02504958198682594,-0.6382270901288118,-0.6552866307833318,-0.5509624267202335,-0.4697817736322397,-0.4124410189092886,-0.3662617053620577,-0.3414744081103963,-0.321949973762068,-0.30305146053053544,-0.2873083324692892,-0.27416567369984085,-0.26301772314273514,-0.253443066330438,-0.24511340316403318,-0.23779903055252044,-0.23131693513368634,-0.22550812005478266,-0.22028893340151673,-0.21553641703762316,-0.2112089645625727},
+{0.02151141549752117,-0.6392759596262713,-0.6554103124268016,-0.5508700940637193,-0.46965146698788995,-0.4123113883040064,-0.3661376324736788,-0.34139637395134825,-0.3218475158072106,-0.30295261051040756,-0.28721558349888643,-0.27407856530490315,-0.2629355667128828,-0.25336520694419123,-0.24503927868419767,-0.23772816995621032,-0.23124894796736864,-0.22544268698452466,-0.2202257780233069,-0.21547531584371138,-0.2111497192264661},
+{0.017980164319881947,-0.6403212091498275,-0.6555322963229175,-0.5507772077776077,-0.4695209862609529,-0.4121817214827127,-0.36601365789444074,-0.34131820255142215,-0.3217450710585823,-0.3028538173959515,-0.2871228986337411,-0.273991521564188,-0.2628534738483521,-0.2532874092860594,-0.24496521393805767,-0.23765736713601776,-0.23118101672156655,-0.22537730809973758,-0.2201626752239657,-0.21541426573639194,-0.21109052359682862},
+{0.014455822777793143,-0.6413628453902789,-0.6556525905358355,-0.5506837714642272,-0.46939033313433026,-0.41205201931274404,-0.3658897815384982,-0.3412398932266905,-0.32164264012912813,-0.3027550813660438,-0.28703027794980623,-0.2739045425141503,-0.26277144456212526,-0.25320967335597616,-0.24489120891749847,-0.23758662207846526,-0.23111314137912484,-0.2253119833806266,-0.2200996249818224,-0.21535326669265267,-0.21103137764961216},
+{0.010938385162731379,-0.642400875026097,-0.6557712030953691,-0.5505897887065414,-0.469259509280733,-0.41192228265566366,-0.365766003317939,-0.3411614453384436,-0.3215402236260224,-0.3026564025975187,-0.2869377215218678,-0.2738176281904581,-0.2626894788665709,-0.2531319991533925,-0.24481726361400769,-0.23751593476972743,-0.23104532192257624,-0.22524671280713648,-0.22003662727496262,-0.2152923186892458,-0.21097228136057009},
+{0.007427845734039568,-0.6434353047237653,-0.6558881419971279,-0.5504952630682073,-0.4691285163626866,-0.411792512367222,-0.3656423231427868,-0.34108285829231993,-0.32143782215069105,-0.3025577812651658,-0.2868452294235463,-0.2737307786279548,-0.26260757677344154,-0.2530543866772536,-0.24474337801863794,-0.23744530519561866,-0.23097755833412995,-0.22518149635892615,-0.2199736820812176,-0.21523142170269705,-0.21091323470524784},
+{0.003924198719188171,-0.6444661411380967,-0.656003415202647,-0.5504001980937101,-0.4689973560326543,-0.4116627092974655,-0.36551874092111014,-0.3410041315374257,-0.3213354362988591,-0.30245921754175586,-0.28675280172730794,-0.2736439938606956,-0.26252573829387454,-0.2529768359260209,-0.24466955212204483,-0.23737473334160014,-0.230909850595695,-0.22511633401537626,-0.21991078937816902,-0.21517057570930284,-0.21085423765898303},
+{0.000427438314042794,-0.6454933909125627,-0.6561170306395253,-0.5503045973084537,-0.4688660299330466,-0.41153287429073504,-0.36539525655908367,-0.34092526456549377,-0.3212330666606149,-0.3023607115980581,-0.2866604385044624,-0.2735572739219455,-0.26244396343840926,-0.2528993468976752,-0.24459578591448342,-0.23730421919278608,-0.2308421986888733,-0.22505122575560688,-0.21984794914316022,-0.21510978068515796,-0.21079529019691767},
+{-0.0030624413168744147,-0.646517060679611,-0.6562289962015608,-0.5502084642188504,-0.46873453969629764,-0.4114030081857046,-0.3652718699610331,-0.3408462569100612,-0.321130713820431,-0.30226226360286235,-0.28656813982517776,-0.2734706188441739,-0.26236225221697534,-0.2528219195897051,-0.24452207938578202,-0.2372337627339482,-0.23077460259495877,-0.22498617155845735,-0.2197851613532874,-0.21504903660609814,-0.2107363922939852},
+{-0.006545446040120043,-0.6475371570609689,-0.6563393197488736,-0.5501118023124465,-0.468602886944948,-0.4112731118154247,-0.36514858102952763,-0.34076710814560374,-0.3210283783572137,-0.3021638737229757,-0.2864759057584545,-0.2733840286590708,-0.2622806046389157,-0.25274455399913204,-0.24444843252539653,-0.23716336394950324,-0.23070706229494894,-0.22492117140250334,-0.21972242598540354,-0.2149883434477745,-0.2106775439249364},
+{-0.010021581753071981,-0.6485536866679507,-0.6564480091080585,-0.5500146150579999,-0.46847107329166343,-0.4111431860073458,-0.36502538966540815,-0.3406878178867676,-0.3209260608443655,-0.30206554212327563,-0.2863837363721824,-0.27329750339755987,-0.2621990207129713,-0.2526672501224946,-0.24437484532236925,-0.23709302282353478,-0.23063957776954125,-0.22485622526604498,-0.21965974301612085,-0.21492770118559779,-0.21061874506430342},
+{-0.013490854383669426,-0.649566656101755,-0.6565550720722949,-0.5499169059055977,-0.46833910033930737,-0.4110132315833679,-0.3649022957678585,-0.34060838578753005,-0.32082376184980493,-0.30196726896667747,-0.2862916317330734,-0.27321104308978095,-0.2621175004472996,-0.25259000795586395,-0.2443013177653373,-0.23702273933978457,-0.2305721489991236,-0.22479133312712496,-0.219597112421814,-0.21486710979475918,-0.2105599956864337},
+{-0.016953269890149572,-0.650576071953752,-0.6566605164015,-0.549818678286743,-0.46820696968101516,-0.41088324935986625,-0.3647792992345048,-0.34052881154043446,-0.3207214819360351,-0.30186905441420797,-0.2861995919067469,-0.2731246477651252,-0.2620360438494877,-0.2525128274948644,-0.24422784984258403,-0.2369525134816686,-0.23050477596381894,-0.22472649496353916,-0.21953453417863028,-0.21480656925027128,-0.21050129576549761},
+{-0.020408834260798897,-0.6515819408057768,-0.6567643498224428,-0.5497199356144566,-0.46807468290022486,-0.4107532401477235,-0.36465639996139243,-0.3404490948757888,-0.3206192216601529,-0.30177089862497153,-0.28610761695765274,-0.2730383174522066,-0.2619546509265229,-0.25243570873462245,-0.24415444154196397,-0.23688234523225554,-0.23043745864343212,-0.22466171075279484,-0.21947200826247104,-0.21474607952687794,-0.2104426452754409},
+{-0.023857553513689025,-0.6525842692304,-0.6568665800288833,-0.5496206812833851,-0.4679422415707749,-0.4106232047523798,-0.3645335978431307,-0.34036923556089893,-0.32051698157392183,-0.3016728017561895,-0.2860157069491359,-0.2729520521789029,-0.2618733216848455,-0.2523586516698356,-0.2440810928509798,-0.23681223457429446,-0.23037019701748274,-0.22459698047216767,-0.21940953464902252,-0.2146856405991548,-0.21038404419005208},
+{-0.027299433696433714,-0.6535830637912106,-0.6569672146817134,-0.5495209186698753,-0.46780964725689667,-0.41049314397382597,-0.36441089277287636,-0.34028923339933137,-0.3204147622238166,-0.30157476396322525,-0.28592386194339897,-0.27286585197233404,-0.26179205613030887,-0.25228165629472815,-0.24400780375673203,-0.23674218149020038,-0.23030299106521657,-0.22453230409866232,-0.21934711331372292,-0.21462525244145922,-0.21032549248290566},
+{-0.030734480885923635,-0.6545783310430761,-0.6570662614090621,-0.549420651132107,-0.4676769015133378,-0.41036305860669825,-0.3642882846424229,-0.340209088230146,-0.32031256415103465,-0.30147678539958067,-0.28583208200153476,-0.2727797168588838,-0.26171085426820195,-0.25220472260308613,-0.24393457424595216,-0.2366721859620789,-0.23023584076558742,-0.22446768160903557,-0.219284744231801,-0.21456491502792457,-0.21026699012740627},
+{-0.034162701188082734,-0.6555700775324089,-0.6571637278064459,-0.5493198820101519,-0.46754400588537004,-0.4102329494402539,-0.36416577334226274,-0.34012879992716427,-0.32021038789157436,-0.3013788662169046,-0.28574036718350115,-0.27269364686419006,-0.2616297161032736,-0.25212785058824305,-0.24386140430499245,-0.23660224797169238,-0.23016874609726518,-0.22440311297979737,-0.2192224273782454,-0.21450462833250467,-0.21020853709677104},
+{-0.03758410073761767,-0.6565583097974274,-0.6572596214368951,-0.5492186146260869,-0.4674109619088585,-0.41010281725843334,-0.36404335876160143,-0.3400483683982517,-0.3201082339762505,-0.3012810065650561,-0.2856487175481625,-0.27260764201315835,-0.2615486416396981,-0.2520510402430842,-0.24378829391983511,-0.23653236750050252,-0.23010170703864619,-0.22433859818721225,-0.21916016272783756,-0.21444439232892878,-0.2101501333640227},
+{-0.04099868569776312,-0.6575430343683957,-0.6573539498310762,-0.5491168522841154,-0.4672777711103624,-0.40997266283991773,-0.3639210407884646,-0.339967793584593,-0.32000610293075143,-0.30118320659206316,-0.2855571331532598,-0.2725217023299854,-0.2614676308811128,-0.25197429156006085,-0.2437152430760913,-0.23646254452963275,-0.23003472356783744,-0.22427413720728015,-0.21909795025511808,-0.21438420699073527,-0.21009177890201253},
+{-0.044406462260042426,-0.6585242577678854,-0.6574467204874272,-0.5490145982705981,-0.46714443500709324,-0.40984248695807846,-0.3637988193096831,-0.33988707545999386,-0.31990399527567237,-0.3010854664441625,-0.28546561405542836,-0.27243582783811926,-0.26138668383059893,-0.2518976045311848,-0.24364225175901438,-0.23639277903991907,-0.2299677956626876,-0.22420973001578073,-0.21903578993442055,-0.21432407229125355,-0.2100334736834071},
+{-0.047807436644014795,-0.6595019865110058,-0.6575379408722792,-0.548911855854217,-0.46701095510706836,-0.4097122903811174,-0.3636766942109817,-0.33980621403018996,-0.3198019115265689,-0.30098778626582456,-0.28537416031020824,-0.2723500185603148,-0.2613058004907025,-0.2518209791480372,-0.24356931995347625,-0.2363230710118717,-0.22990092330076334,-0.22414537658822792,-0.21897368173985537,-0.21426398820362313,-0.20997521768068897},
+{-0.05120161509703186,-0.6604762271056379,-0.6576276184199886,-0.5488086282860247,-0.46687733290909605,-0.4095820738720107,-0.36355466537703174,-0.33972520933215966,-0.31969985219397645,-0.3008901661997493,-0.2852827719720472,-0.2722642745186061,-0.2612249808634328,-0.25174441540176884,-0.2434964476440183,-0.23625342042568798,-0.22983410645935737,-0.2240810768999203,-0.21891162564532493,-0.21420395470079495,-0.20991701086617212},
+{-0.05458900389399565,-0.6614469860526733,-0.6577157605330657,-0.5487049187995579,-0.46674356990286403,-0.40945183818858766,-0.3634327326914623,-0.3396440614334413,-0.3195978177834791,-0.3007926063869024,-0.28519144909429883,-0.2721785957343167,-0.2611442249502656,-0.2516679132830965,-0.243423634814791,-0.23618382726127474,-0.2297673451155061,-0.22401683092590108,-0.21884962162451135,-0.21414397175550068,-0.20985885321198902},
+{-0.05796960933711484,-0.6624142698462325,-0.6578023745822934,-0.5486007306109256,-0.4666096675690026,-0.4093215840835661,-0.36331089603695654,-0.33956277043148353,-0.31949580879571593,-0.3006951069664954,-0.2851001917292389,-0.2720929822280798,-0.2610635327521462,-0.2515914727823293,-0.24335088144961328,-0.23611429149821883,-0.2297006392459691,-0.22395263864097503,-0.21878766965088736,-0.21408403934030665,-0.2098007446900926},
+{-0.061343437755660785,-0.6633780849738873,-0.6578874679068637,-0.5484960669188892,-0.4664756273790903,-0.4091913123045437,-0.36318915529524076,-0.3394813364529877,-0.31939382572645925,-0.3005976680760544,-0.2850089999280701,-0.272007434019826,-0.2609829042695003,-0.25151509388934357,-0.243278187531952,-0.23604481311581832,-0.2296339888272501,-0.22388850001973304,-0.21872576969771715,-0.21402415742757394,-0.20974268527227008},
+{-0.06471049550573543,-0.6643384379168753,-0.6579710478144979,-0.5483909309049912,-0.46634145079576195,-0.4090610235940758,-0.36306751034716034,-0.33939975965325503,-0.3192918690666229,-0.3005002898513701,-0.28491787374092525,-0.27192195112879597,-0.2609023395022318,-0.2514387765936084,-0.24320555304491048,-0.23597539209306156,-0.22956739383558708,-0.22382441503651046,-0.21866392173804705,-0.21396432598947265,-0.20968467493012077},
+{-0.06807078897002128,-0.6652953351503059,-0.6580531215815739,-0.5482853257336001,-0.4662071392727191,-0.40893071868966774,-0.36294596107272636,-0.3393180402155558,-0.3191899393023193,-0.3004029724265584,-0.2848268132168743,-0.271836533573546,-0.26082183844972284,-0.25136252088418015,-0.24313297797126848,-0.23590602840864844,-0.22950085424696087,-0.22376038366542977,-0.21860212574473029,-0.2139045449979934,-0.20962671363508656},
+{-0.0714243245575521,-0.6662487831433742,-0.6581336964532458,-0.5481792545520234,-0.466072694254796,-0.4088003983238356,-0.36282450735112526,-0.33923617835049713,-0.3190880369148915,-0.30030571593406646,-0.28473581840394346,-0.271751181371942,-0.2607414011108546,-0.2512863267496954,-0.2430604622934446,-0.23583672204099698,-0.22943437003708775,-0.22369640588038056,-0.2185403816904021,-0.21384481442493414,-0.20956880135843436},
+{-0.07477110870347711,-0.6671987883595538,-0.6582127796435795,-0.5480727204906235,-0.46593811717805467,-0.40867006322414223,-0.36270314906081924,-0.3391541742954257,-0.3189861623809622,-0.3002085205046815,-0.28464488934912424,-0.2716658945411994,-0.2606610274839995,-0.2512101941784064,-0.24298800599353726,-0.2357674729682089,-0.22936794118145265,-0.22363248165502686,-0.21847868954752125,-0.21378513424192164,-0.20951093807127108},
+{-0.07811114786881906,-0.6681453572567939,-0.6582903783356671,-0.547965726662844,-0.46580340946974697,-0.40853971411316986,-0.36258188607950204,-0.3390720283137806,-0.3188843161724504,-0.3001113862675264,-0.2845540260983517,-0.2715806730978315,-0.26058071756700935,-0.25113412315813527,-0.24291560905327825,-0.23569828116810917,-0.22930156765525816,-0.22356861096280115,-0.21841704928830238,-0.21372550442037352,-0.2094531237445096},
+{-0.08144444854024599,-0.6690884962877071,-0.6583664996817528,-0.5478582761653742,-0.46566857254844546,-0.40840935170862913,-0.3624607182842058,-0.3389897406945317,-0.31878249875663467,-0.3000143133501042,-0.28446322869655716,-0.2714955170577066,-0.26050047135725823,-0.2510581136763246,-0.24284327145409296,-0.23562914661824821,-0.22923524943347393,-0.2235047937769229,-0.218355460884798,-0.21366592493155834,-0.20939535834891623},
+{-0.08477101722983939,-0.6700282118997606,-0.6584411508033609,-0.5477503720781843,-0.4655336078240573,-0.4082789767233368,-0.3623396455513301,-0.33890731175157085,-0.3186807105961954,-0.2999173018783063,-0.28437249718764857,-0.2714104264360253,-0.26042028885161456,-0.25098216572001947,-0.24277099317706827,-0.23556006929587514,-0.22916898649082026,-0.2234410300703923,-0.21829392430884428,-0.2136063957465462,-0.20933764185509238},
+{-0.08809086047485745,-0.6709645105354565,-0.6585143387914132,-0.547642017464634,-0.4653985166978796,-0.4081485898652661,-0.3622186677566291,-0.33882474182312444,-0.3185789521492124,-0.29982035197640755,-0.2842818316145435,-0.2713254012473294,-0.26034017004645493,-0.2509062792758645,-0.2426987742029586,-0.235491049177972,-0.22910277880177177,-0.22337731981598763,-0.2182324395320992,-0.21354691683623564,-0.20927997423347236},
+{-0.09140398483751011,-0.6718973986325039,-0.6585860707063489,-0.5475332153715627,-0.46526330056266807,-0.40801819183757765,-0.3620977847753162,-0.33874203127118213,-0.31847722386924027,-0.2997234637670889,-0.28419123201913987,-0.27124044150551596,-0.2602601149376733,-0.2508304543301122,-0.24262661451219228,-0.23542208624122812,-0.2290366263405422,-0.22331366298627098,-0.21817100652600904,-0.21348748817134783,-0.20922235545432985},
+{-0.09471039690472709,-0.6728268826239949,-0.6586563535782617,-0.5474239688293663,-0.4651279608026557,-0.40788778333862735,-0.361976996482053,-0.33865918048094207,-0.31837552620535536,-0.2996266373714697,-0.28410069844238756,-0.27115554722382806,-0.2601801235206855,-0.250754690868648,-0.24255451408488524,-0.2353531804620756,-0.22897052908113286,-0.2232500595535954,-0.21810962526183839,-0.2134281097224342,-0.20916478548777673},
+{-0.09801010328793221,-0.673752968938571,-0.6587251944070022,-0.547314280852102,-0.4649924987936287,-0.4077573650620306,-0.3618563027509826,-0.3385761898602365,-0.31827385960214366,-0.29952987290908206,-0.2840102309242334,-0.27107071841487734,-0.26010019579040555,-0.2506789888769508,-0.24248247290081407,-0.23528433181665415,-0.22890448699728932,-0.22318650949009025,-0.2180482957106484,-0.21336878145986066,-0.2091072643037601},
+{-0.1013031106228163,-0.6746756640005849,-0.6587926001623085,-0.5472041544375565,-0.4648569159029642,-0.4076269376966609,-0.36173570345580697,-0.3384930598389848,-0.3181722244997842,-0.2994331704979167,-0.2839198295036883,-0.2709859550906308,-0.26002033174129197,-0.2506033483401373,-0.2424104909394654,-0.23521554028083885,-0.22883850006251094,-0.2231230127676912,-0.21798701784333577,-0.21330950335384552,-0.2090497918720791},
+{-0.1045894255691112,-0.6755949742302666,-0.6588585777839313,-0.5470935925673392,-0.4647212134896771,-0.40749650192670256,-0.36161519846976076,-0.3384097908686553,-0.31807062133407027,-0.2993365302544273,-0.2838294942188006,-0.2709012572624185,-0.25994053136732453,-0.25052776924292763,-0.24233856817997496,-0.23514680583023914,-0.2287725682500867,-0.2230595693581155,-0.21792579163058953,-0.21325027537440502,-0.2089923681623762},
+{-0.10786905481036285,-0.6765109060438643,-0.6589231341817392,-0.5469825982069838,-0.46458539290449996,-0.4073660584316721,-0.36149478766570387,-0.3383263834217271,-0.31796905053643565,-0.2992399522935463,-0.2837392251066835,-0.27081662494095565,-0.2598607946620201,-0.25045225156969364,-0.2422667046012068,-0.2350781284401915,-0.22870669153303838,-0.22299617923287818,-0.2178646170429239,-0.21319109749142146,-0.20893499314413766},
+{-0.11114200505371828,-0.6774234658538174,-0.6589862762358658,-0.5468711743059996,-0.4644494554898652,-0.40723560788641766,-0.36137447091609187,-0.3382428379911686,-0.31786751253400586,-0.2991434367286724,-0.2836490222035273,-0.27073205813633583,-0.25978112161842604,-0.2503767953044109,-0.24219490018167816,-0.23500950808577342,-0.22864086988419102,-0.22293284236327798,-0.21780349405066174,-0.21313196967458686,-0.20887766678668987},
+{-0.1144082830296905,-0.6783326600688747,-0.6590480107967956,-0.5467593237979949,-0.464313402580031,-0.4071051509612105,-0.3612542480930375,-0.33815915508991035,-0.3177660077496358,-0.29904698367172083,-0.2835588855446019,-0.2706475568580227,-0.2597015122291245,-0.25030140043069665,-0.24212315489961952,-0.23494094474179317,-0.22857510327611574,-0.22286955872042571,-0.21774242262395785,-0.21307289189343603,-0.2088203890592141},
+{-0.11766789549194889,-0.6792384950942566,-0.6591083446854992,-0.5466470496007267,-0.46417723550106954,-0.4069746883217079,-0.36113411906836584,-0.3380753352503323,-0.3176645366019313,-0.2989505932331166,-0.2834688151642816,-0.27056312111488223,-0.25962196648625796,-0.2502260669318143,-0.24205146873296798,-0.23487243838280167,-0.2285093916811769,-0.222806328275224,-0.21768140273277,-0.21301386411734588,-0.20876315993075117},
+{-0.12092084921709367,-0.6801409773317895,-0.6591672846935644,-0.546534354616207,-0.4640409555709386,-0.40684422062901976,-0.3610140837135709,-0.33799137902376564,-0.3175630995052861,-0.2988542655217986,-0.28337881109604623,-0.2704787509151477,-0.2595424843814868,-0.25015079479064994,-0.24197984165932476,-0.23480398898309665,-0.22844373507148868,-0.22274315099838027,-0.21762043434689457,-0.21295488631551926,-0.2087059793701761},
+{-0.12416715100444017,-0.6810401131800369,-0.6592248375832919,-0.5464212417307955,-0.4639045640995589,-0.40671374853975106,-0.36089414189994107,-0.3379072869799939,-0.3174616968699392,-0.29875800064526087,-0.2832888733724997,-0.27039444626648423,-0.25946306590605506,-0.2500755839897326,-0.2419082736560223,-0.23473559651670897,-0.22837813341896146,-0.2226800268604025,-0.21755951743593882,-0.2128959584570192,-0.20864884734623532},
+{-0.12740680767579898,-0.6819359090344308,-0.6592810100878338,-0.5463077138152403,-0.46376806238879,-0.4065832727059619,-0.36077429349849366,-0.33782305970675514,-0.31736032910198253,-0.2986617987095228,-0.28319900202536863,-0.27031020717593157,-0.2593837110507417,-0.2500004345112392,-0.24183676470008725,-0.23466726095742904,-0.22831258669527613,-0.22261695583159657,-0.2174986519693392,-0.2128370805107236,-0.208591763827515},
+{-0.1306398260752671,-0.6828283712874024,-0.6593358089112833,-0.5461937737248077,-0.4636314517325417,-0.4064527937752733,-0.3606545383800398,-0.33773869780927285,-0.3172589966034042,-0.29856565981918026,-0.2831091970855337,-0.27022603364994174,-0.259304419805881,-0.24992534633699254,-0.24176531476823657,-0.23459898227878606,-0.2282470948719033,-0.22255393788208347,-0.21743783791636295,-0.21277825244536888,-0.20853472878246843},
+{-0.1338662130690022,-0.6837175063284943,-0.659389240728825,-0.5460794242993379,-0.4634947334167889,-0.40632231239085126,-0.36053487641524906,-0.33765420190976236,-0.3171576997721463,-0.29846958407740387,-0.28301945858303285,-0.2701419256943903,-0.2592251921613783,-0.24985031944847289,-0.2416939238369345,-0.23453076045406548,-0.22818165792008197,-0.22249097298179005,-0.21737707524610225,-0.21271947422953721,-0.20847774217940657},
+{-0.1370859755450195,-0.6846033205444902,-0.6594413121868281,-0.5459646683633337,-0.46335790871962823,-0.40619182919144126,-0.3604153074745918,-0.33756957264698034,-0.31705643900209507,-0.29837357158593236,-0.2829297865470648,-0.27005788331454117,-0.259146028106699,-0.2497753538267878,-0.2416225918823079,-0.23446259545630016,-0.22811627581084254,-0.2224280611004498,-0.21731636392746842,-0.21266074583165737,-0.20842080398650079},
+{-0.1402991204129749,-0.6854858203195298,-0.6594920299029738,-0.5458495087260522,-0.4632209789113341,-0.4060613448114069,-0.36029583142844623,-0.33748481067574976,-0.3169552146831516,-0.29827762244511846,-0.28284018100600705,-0.2699739065151126,-0.2590669276308805,-0.24970044945273162,-0.24155131888023598,-0.23439448725828488,-0.22805094851500504,-0.22236520220760272,-0.21725570392923096,-0.2126020672199903,-0.20836391417178363},
+{-0.14350565460395054,-0.6863650120352118,-0.6595414004663618,-0.5457339481815503,-0.46308394525437224,-0.40593085988073707,-0.3601764481470666,-0.3373999166665093,-0.31685402720126293,-0.29818173675391674,-0.2827506419874426,-0.2698899953002194,-0.2589878907225383,-0.24962560630673722,-0.24148010480629367,-0.23432643583256962,-0.2279856760031808,-0.222302396272621,-0.2171950952199662,-0.2125434383626732,-0.2083070727031508},
+{-0.14670558507025133,-0.687240902070709,-0.6595894304376345,-0.5456179895088239,-0.4629468090034843,-0.40580037502509547,-0.36005715750061884,-0.3373148913048637,-0.3167528769384256,-0.2980859146098968,-0.282661169518128,-0.2698061496734224,-0.2589089173698426,-0.2495508243689063,-0.24140894963577833,-0.23425844115145955,-0.22792045824576024,-0.22223964326467197,-0.21713453776810285,-0.21248485922766838,-0.20825027954836445},
+{-0.14989891878518985,-0.6881134968028704,-0.659636126349089,-0.5455016354718294,-0.462809571405696,-0.4056698908658254,-0.35993795935923756,-0.3372297352911473,-0.3166517642727665,-0.29799015610926327,-0.2825717636240593,-0.269722369637707,-0.25883000756056357,-0.249476103619,-0.24133785334371666,-0.23419050318702114,-0.22785529521292344,-0.22217694315274733,-0.21707403154188357,-0.21242632978279571,-0.2081935346750485},
+{-0.15308566274288232,-0.6889828026063214,-0.659681494704789,-0.5453848888195891,-0.46267223370038535,-0.40553940801999006,-0.35981885359297816,-0.3371444493399758,-0.3165506895785285,-0.29789446134686454,-0.2824824243304466,-0.26963865519549696,-0.25875116128204245,-0.24940144403644432,-0.24126681590483834,-0.23412262191109706,-0.22779018687466884,-0.22211429590565607,-0.21701357650941827,-0.21236784999574168,-0.20813683805070657},
+{-0.1562658239580431,-0.6898488258535699,-0.6597255419806822,-0.545267752286296,-0.46253479711934586,-0.405408927100408,-0.35969984007191913,-0.33705903417982785,-0.31644965322614355,-0.2977988304161967,-0.28239315166172757,-0.2695550063486649,-0.2586723785212022,-0.2493268456003383,-0.2411958372936209,-0.23405479729526643,-0.22772513320075813,-0.2220517014920195,-0.21695317263863537,-0.21230941983403,-0.20808018964269887},
+{-0.1594394094657705,-0.690711572915081,-0.6597682746247121,-0.5451502285913269,-0.4623972628867797,-0.40527844871565344,-0.35958091866613173,-0.33697349055264236,-0.3163486555822616,-0.2977032634094398,-0.28230394564160577,-0.2694714230985352,-0.2585936592645861,-0.2492523082894643,-0.24112491748426365,-0.2339870293109216,-0.227660134160778,-0.22198915988029785,-0.21689281989731046,-0.2122510392650573,-0.20802358941827032},
+{-0.16260642632135275,-0.6915710501593906,-0.6598096990569315,-0.5450323204393972,-0.4622596322193871,-0.4051479734701029,-0.35946208924569545,-0.33688781921335637,-0.31624769700974215,-0.29760776041742715,-0.2822148062930212,-0.2693879054458726,-0.2585150034982934,-0.2491778320822539,-0.24105405645068725,-0.23391931792918827,-0.22759518972410403,-0.22192667103876654,-0.2168325182530593,-0.21219270825606226,-0.20796703734452893},
+{-0.16576688160005837,-0.6924272639531777,-0.6598498216696207,-0.544914030520583,-0.4621219063263795,-0.4050175019639494,-0.35934335168076026,-0.33680202092953926,-0.3161467778677522,-0.2975123215296879,-0.28212573363818383,-0.26930445339090414,-0.25843641120803795,-0.2491034169568421,-0.24098325416655295,-0.23385166312096076,-0.2275302998599102,-0.22186423493551174,-0.21677226767334154,-0.21213442677415004,-0.20791053338846038},
+{-0.1689207823969368,-0.6932802206613573,-0.6598886488273894,-0.5447953615104117,-0.46198408640953886,-0.4048870347932325,-0.3592247058415121,-0.3367160964809668,-0.31604589851175685,-0.297416946834456,-0.28203672769859567,-0.26922106693331405,-0.2583578823791278,-0.2490290628910218,-0.2409125106052546,-0.23378406485693645,-0.22746546453717179,-0.2218018515384685,-0.21671206812546867,-0.21207619478628678,-0.20785407751692903},
+{-0.17206813582661437,-0.6941299266471523,-0.6599261868672901,-0.5446763160699657,-0.46184617366328373,-0.40475657254988173,-0.359106151598245,-0.33663004665922946,-0.31594505929355965,-0.2973216364186569,-0.2819477884950164,-0.2691377460722547,-0.25827941699647683,-0.24895476986228599,-0.24084182573992044,-0.23371652310756233,-0.2274006837246767,-0.22173952081538087,-0.21665191957658775,-0.21201801225929598,-0.2077976696966719},
+{-0.17520894902309678,-0.6949763882721842,-0.6599624420989518,-0.5445568968459138,-0.46170816927465363,-0.4046261158216959,-0.35898768882133936,-0.3365438722673557,-0.3158442605613605,-0.2972263903679604,-0.2818589160475305,-0.26905449080634297,-0.2582010150446004,-0.24888053784780004,-0.24077119954341836,-0.23364903784307534,-0.22733595739101523,-0.22167724273383368,-0.21659182199369909,-0.21195987915986741,-0.20774130989429984},
+{-0.17834322913956815,-0.6958196118965356,-0.6599974208046565,-0.5444371064706415,-0.46157007442340386,-0.4044956651924238,-0.3588693173812783,-0.3364575741194119,-0.3157435026597591,-0.2971312087667367,-0.2817701103755099,-0.26897130113368045,-0.2581226765076353,-0.2488063668244265,-0.24070063198836855,-0.23358160903349154,-0.2272712855045931,-0.22161501726124228,-0.21653177534364965,-0.2119017954545564,-0.20768499807632063},
+{-0.18147098334819284,-0.6966596038788306,-0.6600311292394738,-0.5443169475622711,-0.46143189028202947,-0.4043652212417437,-0.35875103714872003,-0.33637115304012594,-0.3156427859298132,-0.2970360916981222,-0.2816813714976514,-0.2688881770518394,-0.25804440136931894,-0.2487322567687196,-0.24063012304712417,-0.23351423664859763,-0.22720666803360767,-0.22155284436485345,-0.21647177959314917,-0.21184376110978276,-0.20762873420910655},
+{-0.18459221883992305,-0.6974963705763016,-0.6600635736313698,-0.5441964227247698,-0.4612936180158006,-0.4042347845453227,-0.3586328479944223,-0.33628460986453124,-0.3155421107090571,-0.2969410392439913,-0.28159269943197307,-0.2688051185578618,-0.25796618961300516,-0.2486582076569207,-0.2405596726917783,-0.23344692065797792,-0.22714210494609519,-0.22149072401175202,-0.21641183470873931,-0.2117857760918279,-0.20757251825892162},
+{-0.18770694282429362,-0.6983299183448489,-0.6600947601812989,-0.5440755345480366,-0.46115525878283414,-0.40410435567482494,-0.35851474978935405,-0.33619794543758263,-0.31544147733155026,-0.29684605148499243,-0.2815040941958175,-0.26872212564830267,-0.2578880412216801,-0.24858421946496656,-0.24048928089418825,-0.23337966103099386,-0.22707759620987863,-0.2214286561688487,-0.2163519406568407,-0.21172784036685083,-0.20751635019191125},
+{-0.19081516252924044,-0.6991602535391224,-0.66012469506335,-0.5439542856079296,-0.4610168137340852,-0.4039739351979168,-0.3583967424046397,-0.3361111606138085,-0.31534088612790434,-0.2967511285005258,-0.28141555580589184,-0.2686391983191906,-0.2578099561779422,-0.24851029216850382,-0.24041894762595964,-0.23331245773680004,-0.22701314179262283,-0.221366640802903,-0.21629209740370253,-0.21166995390088336,-0.20746022997409885},
+{-0.19391688520089193,-0.699987382512556,-0.6601533844248078,-0.5438326784664015,-0.46087828401344244,-0.403843523678348,-0.35827882571159475,-0.336024256256959,-0.3152403374253056,-0.29665627036878933,-0.28132708427822783,-0.2685563365660453,-0.2577319344640115,-0.24843642574286282,-0.24034867285843925,-0.2332453107443353,-0.22694874166178747,-0.22130467788050795,-0.2162323049154456,-0.21161211665981325,-0.2074041575714014},
+{-0.19701211810338848,-0.7008113116174441,-0.6601808343863014,-0.5437107156715135,-0.46073967075772404,-0.40371312167590767,-0.35816099958177605,-0.335937233239644,-0.3151398315475845,-0.2965614771667663,-0.28123867962823074,-0.2684735403839038,-0.2576539760617493,-0.2483626201630974,-0.24027845656274294,-0.23317822002232774,-0.2268843957846675,-0.22124276736809792,-0.21617256315804886,-0.21155432860941817,-0.20734813294962315},
+{-0.20010086851868553,-0.7016320472049911,-0.6602070510418949,-0.5435883997575466,-0.46060097509674425,-0.4035827297464897,-0.35804326388692176,-0.335850092443007,-0.3150393688152032,-0.29646674897024394,-0.281150341870671,-0.2683908097672829,-0.2575760809526365,-0.24828887540395006,-0.2402082987097304,-0.23311118553930157,-0.22682010412836426,-0.22118090923195588,-0.21611287209734473,-0.21149658971533725,-0.20729215607445065},
+{-0.20318314374636393,-0.7024495956253666,-0.6602320404592018,-0.543465733245089,-0.4604621981533791,-0.40345234844213806,-0.3579256184990581,-0.33576283475638924,-0.3149389495453331,-0.29637208585382696,-0.2810620710196895,-0.2683081447102268,-0.25749824911780933,-0.24821519143988488,-0.24013819927002877,-0.23304420726357603,-0.22675586665981376,-0.22111910343820532,-0.21605323169903523,-0.2114388999430961,-0.2072362269114653},
+{-0.20625895110343906,-0.703263963227742,-0.6602558086794894,-0.5433427186410347,-0.46032334104352934,-0.40332197831098526,-0.35780806329041864,-0.33567546107697815,-0.3148385740518487,-0.29627748789093084,-0.28097386708881056,-0.2682255452062768,-0.2574204805380167,-0.24814156824507036,-0.24006815821402702,-0.23297728516326868,-0.22669168334576484,-0.22105734995280424,-0.2159936419286656,-0.21138125925808296,-0.20718034542613492},
+{-0.20932829792417557,-0.7040751563603587,-0.6602783617177808,-0.5432193584387601,-0.4601844048762451,-0.40319161989737995,-0.35769059813351844,-0.3355879723095201,-0.3147382426453936,-0.2961829551538081,-0.28088573009095374,-0.2681430112484921,-0.25734277519366255,-0.24806800579339117,-0.23999817551187624,-0.23291041920629488,-0.22662755415280803,-0.22099564874157762,-0.21593410275166366,-0.21132366762557928,-0.20712451158381345},
+{-0.2123911915598971,-0.7048831813705492,-0.6602997055629708,-0.5430956551180973,-0.46004539075370643,-0.40306127374183526,-0.35757322290115556,-0.3355003693659663,-0.314637955633404,-0.2960884877135558,-0.2807976600384284,-0.26806054282946573,-0.2572651330648009,-0.24799450405845172,-0.23992825113349778,-0.23284360936036952,-0.22656347904734273,-0.22093399977018172,-0.2158746141333171,-0.21126612501073935,-0.20706872534976234},
+{-0.2154476393788004,-0.7056880446048008,-0.6603198461779365,-0.5429716111454752,-0.45990629977130104,-0.40293094038109245,-0.3574559374663936,-0.33541265316518215,-0.3145377133201262,-0.2959940856401154,-0.28070965694295397,-0.2679781399412895,-0.2571875541311146,-0.2479210630135726,-0.23985838504856213,-0.2327768555930058,-0.22649945799560747,-0.2208724030041344,-0.2158151760387698,-0.21120863137858856,-0.20701298668911208},
+{-0.2184976487657722,-0.7064897524087761,-0.6603387894996263,-0.5428472289739723,-0.4597671330176521,-0.4028006203481319,-0.3573387417026278,-0.33532482463262014,-0.3144375160066591,-0.29589974900229227,-0.28062172081565195,-0.26789580257560336,-0.25711003837196345,-0.24784768263178458,-0.23978857722653532,-0.23271015787152827,-0.22643549096366816,-0.220810858408789,-0.21575578843304613,-0.21115118669405042,-0.206957295566905},
+{-0.22154122712220117,-0.7072883111273651,-0.6603565414391832,-0.5427225110433419,-0.45962789157463907,-0.40267031417217714,-0.3572216354835349,-0.3352368847000477,-0.31433736399099677,-0.29580547786776634,-0.2805338516670796,-0.26781353072356606,-0.25703258576634125,-0.24777436288587118,-0.2397188276366402,-0.23264351616306667,-0.22637157791743176,-0.2207493659493771,-0.21569645128103054,-0.2110937909219236,-0.20690165194807078},
+{-0.2245783818658014,-0.7080837271047083,-0.6603731078820428,-0.5425974597801788,-0.459488576517473,-0.4025400223787644,-0.3571046186831117,-0.33514883430522063,-0.3142372575680378,-0.2957112723030886,-0.2804460495071983,-0.2677313243758739,-0.25695519629290364,-0.2477011037483061,-0.2396491362478787,-0.23257693043455288,-0.22630771882262382,-0.22068792559096573,-0.2156371645474776,-0.21103644402688648,-0.2068460557974361},
+{-0.22760912043041825,-0.7088760066842327,-0.6603884946880308,-0.5424720775978765,-0.45934918891469084,-0.4024097454897091,-0.3569876911757155,-0.33506067439160747,-0.314137197029637,-0.2956171323736962,-0.28035831434540903,-0.2676491835227682,-0.256877869929965,-0.24762790519132655,-0.23957950302902928,-0.23251040065272982,-0.22624391364480792,-0.2206265372984814,-0.21557792819701144,-0.21097914597350523,-0.2067905070797039},
+{-0.23063345026586124,-0.709665156208685,-0.6604027076914828,-0.5423463668967792,-0.4592097298282334,-0.4022794840231694,-0.35687085283599884,-0.3349724059080942,-0.3140371826646136,-0.2955230581439353,-0.28027064619055375,-0.26756710815401896,-0.25680060665550003,-0.2475547671868708,-0.2395099279486312,-0.23244392678415665,-0.22618016234939364,-0.2205652010367008,-0.21551874219413822,-0.21092189672623582,-0.2067350057595017},
+{-0.23365137883771256,-0.7104511820201622,-0.660415752701349,-0.5422203300642479,-0.45907020031349766,-0.4021492384936839,-0.3567541035390268,-0.3348840298087321,-0.3139372147588105,-0.2954290496770605,-0.28018304505091485,-0.26748509825896527,-0.25672340644716135,-0.24748168970663645,-0.2394404109750348,-0.23237750879520178,-0.22611646490162635,-0.220503916770279,-0.21545960650322593,-0.21086469624942097,-0.20667955180134076},
+{-0.23666291362715552,-0.7112340904601164,-0.6604276355012695,-0.5420939694746363,-0.4589306014192779,-0.402019009412094,-0.35663744316015017,-0.33479554705240344,-0.3138372935950759,-0.2953351070352201,-0.2800955109342135,-0.2674031538264647,-0.2566462692822535,-0.24740867272203315,-0.23937095207634596,-0.23231114665204977,-0.22605282126658752,-0.22044268446370835,-0.2154005210885197,-0.21080754450728653,-0.2066241451696194},
+{-0.23966806213079112,-0.7120138878694035,-0.660438361849712,-0.5419672874895011,-0.45879093418793143,-0.4018887972857055,-0.35652087157513035,-0.3347069586026138,-0.31373741945333333,-0.2952412302795107,-0.28000804384764544,-0.2673212748449608,-0.256569195137759,-0.24733571620422276,-0.23930155122047128,-0.23224484032070267,-0.2259892314092043,-0.2203815040813611,-0.2153414859141503,-0.21075044146395364,-0.2065687858286422},
+{-0.2426668318604618,-0.7127905805882936,-0.6604479374800635,-0.5418402864575553,-0.4586511996553301,-0.40175860261822016,-0.35640438866011026,-0.3346182654272055,-0.3136375926106106,-0.2951474194699458,-0.2799206437978424,-0.26723946130243165,-0.25649218399033824,-0.24726282012410516,-0.23923220837508702,-0.23217858976696865,-0.22592569529423312,-0.22032037558745754,-0.21528250094410867,-0.21069338708342245,-0.20651347374261214},
+{-0.24565923034307882,-0.7135641749564884,-0.660456368100732,-0.5417129687147888,-0.45851139885092773,-0.40162842590977776,-0.3562879942915893,-0.3345294684980846,-0.3135378133410361,-0.2950536746654926,-0.2798333107909285,-0.2671577131864259,-0.256415235816317,-0.24718998445232132,-0.23916292350766924,-0.23211239495649333,-0.2258622128862951,-0.2202592989460856,-0.21522356614228005,-0.2106363813295967,-0.20645820887562977},
+{-0.24864526512044313,-0.714334677313134,-0.6604636593952355,-0.5415853365845376,-0.4583715327978194,-0.4014982676569898,-0.3561716883464856,-0.33444056879097217,-0.3134380819158739,-0.2949599959240691,-0.27974604483247056,-0.2670760304840644,-0.25633835059171034,-0.24711720915925856,-0.23909369658548207,-0.23204625585473743,-0.22579878414984592,-0.22019827412120502,-0.21516468147242657,-0.21057942416626846,-0.2064029911916925},
+{-0.25162494374907063,-0.7151020939968524,-0.6604698170223325,-0.5414573923775083,-0.4582316025127151,-0.4013681283529372,-0.35605547070210436,-0.3343515672851676,-0.3133383986035735,-0.2948663833025533,-0.27965884592753604,-0.26699441318201844,-0.25626152829221843,-0.2470444942150489,-0.23902452757557976,-0.2319801724269764,-0.22573540904918798,-0.22013730107663518,-0.21510584689818033,-0.21052251555712798,-0.2063478206547056},
+{-0.2545982738000232,-0.7158664313457344,-0.6604748466160979,-0.5413291383919141,-0.45809160900604556,-0.4012380084872261,-0.3559393412361501,-0.33426246496328593,-0.3132387636697629,-0.2947728368567785,-0.27957171408064824,-0.26691286126655395,-0.256184768893213,-0.2469718395895712,-0.2389554164448098,-0.23191414463833215,-0.22567208754847676,-0.22007637977607092,-0.21504706238306517,-0.2104656554657414,-0.20629269722846333},
+{-0.2575652628587331,-0.7166276956973625,-0.66047875378604,-0.541200576913469,-0.4579515532819478,-0.4011079085459759,-0.35582329982676175,-0.33417326281103615,-0.31313917737730446,-0.29467935664156863,-0.27948464929583955,-0.2668313747234949,-0.25610807236976385,-0.2468992452524712,-0.23888636315981573,-0.23184817245371495,-0.22560881961172108,-0.22001551018306895,-0.21498832789048936,-0.21040884385559575,-0.20623762087666386},
+{-0.26052591852483264,-0.7173858933888175,-0.6604815441171942,-0.5410717102154992,-0.45781143633833354,-0.4009778290118642,-0.35570734635247153,-0.33408396181696864,-0.3130396399862809,-0.29458594271072824,-0.2793976515766141,-0.2667499535382402,-0.2560314386966209,-0.24682671117312838,-0.23881736768703565,-0.23178225583791137,-0.22554560520277256,-0.2199546922610558,-0.21492964338374487,-0.21035208069004926,-0.20618259156292745},
+{-0.26348024841197826,-0.7181410307566801,-0.6604832231702219,-0.5409425405590127,-0.4576712591669282,-0.4008477703641491,-0.35559148069227486,-0.333994562972256,-0.31294015175405654,-0.29449259511706616,-0.27931072092598225,-0.266668597695796,-0.25595486784824595,-0.24675423732069154,-0.2387484299927126,-0.23171639475549985,-0.22548244428534442,-0.21989392597333535,-0.21487100882599994,-0.2102953659323782,-0.2061276092507649},
+{-0.26642826014769505,-0.718893114137048,-0.6604837964815209,-0.5408130701927063,-0.4575310227532644,-0.4007177330786431,-0.3554757027255607,-0.3339050672704596,-0.31284071293527976,-0.29439931391237,-0.2792238573464428,-0.26658730718073476,-0.25587835979877416,-0.24668182366405897,-0.23867955004287275,-0.23165058917090808,-0.2254193368230031,-0.21983321128307762,-0.21481242418032573,-0.21023869954574315,-0.20607267390358075},
+{-0.26936996137319313,-0.7196421498655298,-0.6604832695633117,-0.5406833013531251,-0.45739072807677167,-0.40058771762781376,-0.3553600123321784,-0.33381547570732234,-0.3127413237819022,-0.2943060991474567,-0.27913706084000844,-0.2665060819772214,-0.25580191452204604,-0.24660947017190066,-0.238610727803379,-0.23158483904839502,-0.22535628277917005,-0.21977254815333824,-0.21475388940967047,-0.21018208149321183,-0.20601778548470745},
+{-0.27230535974320674,-0.7203881442772446,-0.660481647903746,-0.540553236264629,-0.45725037611076513,-0.4004577244807331,-0.3552444093924225,-0.33372578928053587,-0.3126419845432209,-0.2942129508721619,-0.2790503314081829,-0.2664249220690243,-0.25572553199161563,-0.24653717681263476,-0.23854196323986876,-0.23151914435204582,-0.22529328211712088,-0.21971193654703294,-0.21469540447686303,-0.21012551173773708,-0.2059629439573637},
+{-0.2752344629258306,-0.7211311037068342,-0.6604789369670037,-0.5404228771395195,-0.45710996782251034,-0.4003277541031305,-0.3551288937870112,-0.3336360089895305,-0.3125426954658639,-0.29411986913532784,-0.2789636690520029,-0.2663438274394918,-0.25564921218071307,-0.24646494355446252,-0.23847325631779462,-0.2314535050457904,-0.22523033479999485,-0.2196513764269661,-0.21463696934465384,-0.2100689902421975,-0.20590814928468948},
+{-0.2781572786023496,-0.7218710344884456,-0.6604751421933875,-0.5402922261781098,-0.4569695041732844,-0.400197806957443,-0.3550134653971623,-0.33354613583529513,-0.31244345679386243,-0.2940268539848655,-0.27887707377200044,-0.26626279807159153,-0.25557295506230165,-0.24639277036533624,-0.238404607002415,-0.23138792109338957,-0.22516744079080425,-0.21959086775582118,-0.21457858397566096,-0.21001251696934883,-0.20585340142973801},
+{-0.28107381446707297,-0.7226079429557419,-0.660470268999438,-0.5401612855687175,-0.4568289861183176,-0.4000678835027444,-0.35489812410451577,-0.33345617082012674,-0.312344268768615,-0.29393390546769105,-0.278790545568228,-0.266181833947879,-0.2554967606090389,-0.24632065721297494,-0.23833601525880546,-0.2313223924584566,-0.22510460005240004,-0.21953041049614647,-0.2145202483323971,-0.2099560918818696,-0.20579870035546394},
+{-0.28398407822717975,-0.7233418354418909,-0.6604643227779975,-0.5400300574878194,-0.4566884146069367,-0.3999379841948676,-0.35478286979117724,-0.33336611494747176,-0.31224513162894424,-0.2938410236297925,-0.27870408444027445,-0.2661009350505186,-0.2554206287932839,-0.24624860406489035,-0.23826748105184525,-0.2312569191044377,-0.22504181254751635,-0.21947000461039318,-0.21446196237727078,-0.2098997149423305,-0.2057440460247187},
+{-0.28688807760253865,-0.7240727182795512,-0.6604573088983481,-0.5398985441000365,-0.45654779058252093,-0.3998081094863646,-0.3546677023397422,-0.3332759692217232,-0.3121460456111238,-0.29374820851621986,-0.2786176903872354,-0.2660201013612938,-0.25534455958713453,-0.2461766108883516,-0.23819900434623892,-0.23119150099461663,-0.22497907823873362,-0.21940965006086735,-0.21440372607259486,-0.20984338611320458,-0.20568943840029327},
+{-0.2897858203255671,-0.7248005978008809,-0.6604492327062804,-0.5397667475582502,-0.4564071149825811,-0.39967825982654104,-0.35455262163324963,-0.3331857346480089,-0.3120470109488502,-0.293655460171074,-0.2785313634077475,-0.26593933286159077,-0.255268552962375,-0.2461046776503963,-0.23813058510648058,-0.23112613809212498,-0.22491639708851688,-0.21934934680977727,-0.21434553938056294,-0.20978710535687553,-0.20563487744486675},
+{-0.29267731414105713,-0.7255254803375139,-0.660440099524198,-0.539634670003654,-0.45626638873879066,-0.39954843566148923,-0.35443762755524383,-0.33309541223203987,-0.31194802787331055,-0.2935627786375359,-0.2784451034999774,-0.26585862953242473,-0.25519260889052797,-0.24603280431785837,-0.2380622232969109,-0.23106083035993985,-0.22485376905919238,-0.21928909481920855,-0.21428740226329113,-0.2097308726356445,-0.20558036312104855},
+{-0.29556256680601267,-0.7262473722205518,-0.6604299146512183,-0.5395023135657685,-0.45612561277697483,-0.39941863743407796,-0.35432271998972653,-0.33300500297990976,-0.31184909661318405,-0.29347016395787234,-0.27835891066162305,-0.26577799135440866,-0.2551167273428296,-0.24596099085733775,-0.23799391888166954,-0.23099557776089769,-0.22479119411295825,-0.21922889405113766,-0.21422931468276335,-0.20967468791170338,-0.2055258953913511},
+{-0.2984415860895049,-0.7269662797805577,-0.6604186833632744,-0.5393696803625845,-0.4559847880172117,-0.3992888655840083,-0.35420789882118264,-0.33291450789791,-0.31175021739464087,-0.29337761617343583,-0.27827278488992513,-0.2656974183078045,-0.2550409082902433,-0.24588923723521697,-0.23792567182472335,-0.23093038025766208,-0.22472867221187362,-0.21916874446742185,-0.21417127660089452,-0.2096185511471586,-0.20547147421820122},
+{-0.301314379772497,-0.7276822093475298,-0.6604064109131867,-0.5392367725005462,-0.45584391537380076,-0.3991591205477977,-0.3540931639346022,-0.33282392799237437,-0.311651390441403,-0.2932851353246738,-0.2781867261816572,-0.2656169103724873,-0.2549651517034425,-0.24581754341767245,-0.23785748208986374,-0.23086523781275797,-0.2246662033178754,-0.21910864602980745,-0.2141132879794709,-0.2095624623040273,-0.20541709956393903},
+{-0.3041809556477002,-0.7283951672508979,-0.6603931025307833,-0.5391035920746545,-0.4557029957553488,-0.39902940275882465,-0.3539785152154272,-0.3327332642694986,-0.31155261597470624,-0.2931927214511273,-0.2781007345331574,-0.26553646752794835,-0.2548894575528442,-0.245745909370639,-0.23778934964069054,-0.23080015038857138,-0.22460378739277811,-0.21904859869991555,-0.21405534878020085,-0.20950642134424033,-0.20536277139083284},
+{-0.30704132151940794,-0.7291051598195016,-0.6603787634229863,-0.5389701411685491,-0.455562030064788,-0.39889971264735513,-0.3538639525496453,-0.33264251773518866,-0.31145389421338027,-0.29310037459148325,-0.27801480994028654,-0.2654560897533528,-0.254813825808594,-0.24567433505988526,-0.2377212744406564,-0.23073511794732562,-0.2245414243982657,-0.21898860243928997,-0.21399745896469582,-0.2094504282296482,-0.20530848966106113},
+{-0.30989548520334986,-0.729812193381574,-0.6603633987739096,-0.5388364218544809,-0.45542101919937517,-0.398770050640512,-0.35374947582368765,-0.33255168939487023,-0.31135522537380117,-0.2930080947835022,-0.27792895239847004,-0.2653757770274454,-0.2547382564405529,-0.24560282045091839,-0.23765325645301164,-0.23067014045110104,-0.22447911429589612,-0.21892865720933263,-0.2139396184944592,-0.2093944829219836,-0.20525425433671385},
+{-0.31274345452652585,-0.7305162742647109,-0.66034701374494,-0.5387024361934868,-0.4552799640507692,-0.3986404171623582,-0.353635084924497,-0.33246078025337067,-0.3112566096699623,-0.292915882064105,-0.2778431619026902,-0.2652955293286557,-0.2546627494183388,-0.24553136550906648,-0.23758529564085384,-0.23060521786184465,-0.22441685704711398,-0.2188687629713612,-0.21388182733091776,-0.209338585382932,-0.20520006537981358},
+{-0.315585237327063,-0.7312174087958689,-0.6603296134748496,-0.5385681862353553,-0.45513886550504234,-0.398510812633876,-0.3535207797395364,-0.3323697913147285,-0.3111580473134539,-0.29282373646932347,-0.2777574384474628,-0.265215346635024,-0.25458730471128616,-0.24545997019944166,-0.23751739196709593,-0.2305403501413406,-0.2243546526132163,-0.218808919686565,-0.21382408543537898,-0.2092827355740637,-0.20514592275229138},
+{-0.3184208414540555,-0.7319156033013333,-0.6603112030798783,-0.5384336740187281,-0.45499772444271186,-0.3983812374729888,-0.3534065601567288,-0.3322787235820738,-0.31105953851350676,-0.29273165803433965,-0.27767178202688875,-0.2651352289242531,-0.2545119222884858,-0.2453886344869522,-0.23744954539449584,-0.23047553725126188,-0.2242925009554234,-0.21874912731604435,-0.21376639276908901,-0.20922693345688337,-0.20509182641600185},
+{-0.3212502747674142,-0.7326108641066873,-0.6602917876538268,-0.5382989015711753,-0.4548565417387963,-0.39825169209460365,-0.3532924260645448,-0.3321875780574543,-0.3109610834769907,-0.2926396467934854,-0.2775861926346123,-0.26505517617369084,-0.25443660211875824,-0.2453173583363104,-0.2373817558856422,-0.23041077915311386,-0.22423040203479164,-0.21868938582078723,-0.21370874929317896,-0.20917117899280885,-0.20503777633274184},
+{-0.32407354513771813,-0.7333031975368025,-0.6602713722681608,-0.5381638709092031,-0.45471531826279254,-0.3981221769105914,-0.3531783773519325,-0.33209635574172186,-0.31086268240842996,-0.29254770278024184,-0.2775006702638493,-0.264975188360328,-0.2543613441706721,-0.2452461417120164,-0.2373140234029538,-0.23034607580827604,-0.224168355812291,-0.21862969516168496,-0.21365115496870185,-0.20911547214317405,-0.2049837724642037},
+{-0.3268906604460632,-0.7339926099158034,-0.6602499619720885,-0.538028584038365,-0.4545740548787789,-0.39799269232984386,-0.3530644139083421,-0.3320050576343705,-0.31076433551002675,-0.29245582602724884,-0.27741521490738097,-0.2648952654608221,-0.25428614841254477,-0.24517498457837472,-0.237246347908695,-0.23028142717800196,-0.22410636224875932,-0.21857005529952753,-0.21359360975661315,-0.20905981286923672,-0.20492981477202102},
+{-0.3297016285839102,-0.7346791075670431,-0.6602275617926612,-0.5378930429532807,-0.4544327524453822,-0.397863238758264,-0.3529505356237559,-0.33191368473341143,-0.31066604298168393,-0.2923640165663219,-0.2773298265575531,-0.26481540745147264,-0.25421101481242925,-0.24510388689949694,-0.23717872936495782,-0.23021683322337844,-0.22404442130491825,-0.21851046619499392,-0.21353611361779534,-0.20900420113216964,-0.20487590321776217},
+{-0.3325064574529421,-0.7353626968130785,-0.6602041767348718,-0.5377572496377071,-0.4542914118158516,-0.3977338165988021,-0.35283674238862484,-0.3318222380352297,-0.3105678050210057,-0.2922722744284462,-0.27724450520628086,-0.2647356143082379,-0.2541359433381385,-0.2450328486392916,-0.23711116773367202,-0.2301522939053837,-0.223982532941386,-0.2184509278086565,-0.21347866651301622,-0.20894863689305931,-0.2048220377629011},
+{-0.33530515496490565,-0.7360433839756297,-0.6601798117817227,-0.5376212060646284,-0.45415003383808505,-0.3976044262514734,-0.3527230340939639,-0.33173071853447844,-0.3104696218233104,-0.29218059964379556,-0.27715925084506626,-0.2646558860067657,-0.25406093395724644,-0.24496186976148993,-0.23704366297662982,-0.2300878091848661,-0.2239206971186558,-0.21839144010102185,-0.21342126840298936,-0.20889312011295175,-0.2047682183688736},
+{-0.3380977290414805,-0.7367211753755694,-0.6601544718943512,-0.5374849141962226,-0.4540086193546247,-0.39747506811333383,-0.35260941063124696,-0.3316391272239262,-0.3103714935816686,-0.2920889922417131,-0.27707406346495633,-0.26457622252232676,-0.2539859866370596,-0.24489095022960536,-0.23697621505543706,-0.23002337902251924,-0.22385891379711473,-0.2183320030324564,-0.2133639192483181,-0.208837650752771,-0.20471444499700886},
+{-0.34088418761411854,-0.7373960773328736,-0.6601281620120915,-0.5373483759840479,-0.45386716920274517,-0.397345742578589,-0.35249587189248033,-0.3315474650943626,-0.3102734204868989,-0.2919974522507593,-0.2769889430566207,-0.2644966238298959,-0.25391110134466444,-0.24482009000698282,-0.23690882393157564,-0.22995900337892433,-0.22379718293704212,-0.21827261656327912,-0.2133066190095378,-0.2087822287734033,-0.2046607176086041},
+{-0.34366453862390584,-0.7380680961666006,-0.6601008870525757,-0.5372115933689806,-0.45372568421441883,-0.3972164500385064,-0.35238241777019375,-0.33145573313445137,-0.3101754027275885,-0.2919059796986918,-0.27690388961027057,-0.2644170899041103,-0.25383627804688624,-0.24474928905676951,-0.2368414895663446,-0.2298946822145429,-0.2237355044986031,-0.21821328065365764,-0.21324936764708569,-0.20872685413562947,-0.20460703616486284},
+{-0.34643879002141953,-0.7387372381948478,-0.660072651911831,-0.5370745682813248,-0.453584165216404,-0.397087190881501,-0.3522690481573989,-0.33136393233063915,-0.31007744049010943,-0.2918145746124662,-0.2768189031157225,-0.2643376207192658,-0.2537615167103217,-0.24467854734192726,-0.23677421192090475,-0.2298304154896743,-0.22367387844184644,-0.2181539952637051,-0.2131921651213298,-0.2086715268001833,-0.2045534006269359},
+{-0.34920694976658034,-0.7394035097347307,-0.6600434614643573,-0.5369373026409059,-0.45344261303027333,-0.39695796549316276,-0.3521557629476613,-0.3312720636670321,-0.30997953395863537,-0.29172323701826547,-0.27673398356236406,-0.2642582162493508,-0.2536868173013374,-0.24460786482523827,-0.23670699095626044,-0.2297662031645227,-0.2236123047267322,-0.21809476035343234,-0.2131350113925552,-0.20861624672771165,-0.2044998109559141},
+{-0.3519690258285123,-0.7400669171023345,-0.6600133205632279,-0.5367997983570165,-0.45330102847235637,-0.3968287742561895,-0.35204256203502315,-0.3311801281252729,-0.30988168331514415,-0.29163196694148186,-0.27664913093917787,-0.2641788764680247,-0.25361217978604983,-0.24453724146929048,-0.23663982663327765,-0.22970204519916218,-0.22355078331310022,-0.21803557588275446,-0.21307790642095537,-0.20856101387880155,-0.20444626711281638},
+{-0.354725026185402,-0.7407274666126943,-0.6599822340401631,-0.5366620573285981,-0.4531594123539054,-0.3966996175505054,-0.35192944531404824,-0.3310881266844789,-0.30978388873944757,-0.29154076440674287,-0.27656434523473894,-0.26409960134863286,-0.2535376041303569,-0.2444666772365068,-0.23657271891266485,-0.22963794155354708,-0.22348931416068932,-0.21797644181150155,-0.21302085016665523,-0.2085058282139725,-0.20439276905859988},
+{-0.3574749588243559,-0.7413851645797344,-0.6599502067056398,-0.5365240814442006,-0.45301776548100525,-0.3965704957532213,-0.35181641267982966,-0.33099606032108436,-0.30968615040922143,-0.29144962943791897,-0.27647962643720664,-0.2640203908642152,-0.2534630902999124,-0.244396172089117,-0.23650566775499027,-0.2295738921874954,-0.2234278972291323,-0.21791735809939666,-0.21296384258969164,-0.20845068969365355,-0.2043393167541717},
+{-0.3602188317412588,-0.7420400173162564,-0.6599172433489636,-0.5363858725820828,-0.4528760886546773,-0.39644140923865,-0.3517034640279434,-0.33090393000877366,-0.30958846849996496,-0.29135856205810057,-0.2763949745343389,-0.26394124498748095,-0.25338863826016117,-0.24432572598917413,-0.23643867312065728,-0.2295098970607099,-0.2233665324779599,-0.21785832470609484,-0.2129068836500315,-0.20839559827822385,-0.20428591016034842},
+{-0.3629566529406411,-0.7426920311338829,-0.6598833487383656,-0.5362474326102792,-0.4527343826709032,-0.39631235837837164,-0.35159059925451197,-0.33081173671838116,-0.30949084318507675,-0.2912675622896376,-0.2763103895134924,-0.26386216369084553,-0.2533142479763007,-0.24425533889856624,-0.23637173496994932,-0.22944595613277977,-0.22330521986660853,-0.21779934159115813,-0.21284997330757477,-0.20834055392800716,-0.20423254923792505},
+{-0.36568843043553356,-0.7433412123430292,-0.6598485276210894,-0.5361087633865897,-0.452592648320587,-0.3961833435411698,-0.35147781825615204,-0.33071948141778695,-0.3093932746358417,-0.2911766301541389,-0.27622587136161947,-0.26378314694640626,-0.2532399194133247,-0.24418501077899452,-0.2363048532630031,-0.22938206936317207,-0.22324395935440075,-0.21774040871404832,-0.21279311152211874,-0.20828555660323467,-0.2041792339476126},
+{-0.3684141722473347,-0.7439875672528513,-0.6598127847234722,-0.5359698667587198,-0.4524508863896782,-0.39605436509314085,-0.3513651209299836,-0.3306271650718329,-0.30929576302143386,-0.29108576567245903,-0.2761414200652783,-0.26370419472597395,-0.25316565253598977,-0.24411474159199092,-0.23623802795981103,-0.22931823671124438,-0.22318275090057357,-0.21768152603416607,-0.2127362982534166,-0.20823060626409473,-0.20412596425005947},
+{-0.3711338864056673,-0.7446311021712193,-0.6597761247510374,-0.5358307445642531,-0.4523090976591211,-0.39592542339762915,-0.3512525071736543,-0.33053478864222563,-0.3091983085089646,-0.290994968864726,-0.2760570356106194,-0.2636253070010366,-0.25309144730884375,-0.24404453129892423,-0.23617125902022415,-0.22925445813622583,-0.2231215944642417,-0.21762269351080574,-0.21267953346111435,-0.20817570287069054,-0.20407274010586973},
+{-0.37384758094824855,-0.7452718234046611,-0.6597385523885797,-0.5356913986307548,-0.45216728290493396,-0.3957965188152899,-0.3511399768853041,-0.3304423530874615,-0.3091009112634641,-0.29090423975033364,-0.2759727179834159,-0.2635464837427949,-0.2530173036962097,-0.2439743798609777,-0.23610454640394898,-0.22919073359724573,-0.22306049000444622,-0.21756391110317674,-0.2126228171048092,-0.20812084638308198,-0.2040195614755837},
+{-0.3765552639207587,-0.745909737258337,-0.6597000723002568,-0.5355518307758423,-0.45202544289824487,-0.39566765170411755,-0.3510275299636066,-0.330349859362741,-0.309003571447917,-0.29081357834796623,-0.27588846716903936,-0.26346772492216386,-0.25294322166219607,-0.24390428723919041,-0.2360378900705801,-0.22912706305331237,-0.22299943748013343,-0.21750517877043515,-0.2125661491440261,-0.2080660367612723,-0.20396642831969083},
+{-0.37925694337669114,-0.7465448500359771,-0.6596606891296708,-0.5354120428071425,-0.4518835784052432,-0.3955388224194002,-0.35091516630772157,-0.3302573084198785,-0.3089062892232759,-0.2907229846755768,-0.2758042831524736,-0.2633890305097436,-0.2528692011706964,-0.24383425339440667,-0.23597128997954947,-0.22906344646331578,-0.2229384368501295,-0.2174464964716184,-0.21250952953820307,-0.20801127396516936,-0.20391334059860733},
+{-0.3819526273772367,-0.7471771680398518,-0.6596204074999478,-0.5352720365224731,-0.45174169018731647,-0.3954100313138079,-0.35080288581732383,-0.33016470120722935,-0.3088090647484636,-0.2906324587504154,-0.2757201659183209,-0.26331040047586407,-0.25279524218540783,-0.24376427828733302,-0.2359047460901738,-0.22899988378605757,-0.22287748807319385,-0.2173878641657072,-0.21245295824673496,-0.2079565579546592,-0.20386029827271604},
+{-0.3846423239911425,-0.7478066975707217,-0.6595792320138403,-0.5351318137097903,-0.4515997790009776,-0.3952812787373599,-0.3506906883925999,-0.33007203866962737,-0.30871189818038786,-0.2905420005890252,-0.27563611545079164,-0.26323183479055806,-0.2527213446697932,-0.24369436187849342,-0.23583825836163014,-0.2289363749802042,-0.22281659110797336,-0.21732928181159814,-0.21239643522890395,-0.2079018886895374,-0.20380730130233102},
+{-0.3873260412945777,-0.748433444927801,-0.6595371672537979,-0.5349913761472838,-0.451457845597964,-0.3951525650374598,-0.35057857393422087,-0.3299793217482803,-0.30861478967398726,-0.2904516102072449,-0.27555213173371257,-0.2631533334235673,-0.2526475085871221,-0.24362450412825917,-0.23577182675296454,-0.22887292000433213,-0.22275574591302783,-0.21727074936809435,-0.21233996044396647,-0.20784726612955484,-0.20375434964771658},
+{-0.3900037873710075,-0.7490574164086875,-0.6594942177820466,-0.5348507256034535,-0.4513158907252506,-0.39502389055891785,-0.3504665423433963,-0.3298865513807363,-0.3085177393821979,-0.2903612876202363,-0.2754682147505433,-0.2630748963443711,-0.25257373390046073,-0.2435547049968442,-0.23570545122309605,-0.22880951881690717,-0.22269495244682758,-0.21721226679394523,-0.21228353385109233,-0.20779269023441094,-0.20370144326910075},
+{-0.3926755703110596,-0.7496786183093547,-0.6594503881407047,-0.5347098638370922,-0.4511739151250297,-0.394895255643939,-0.350354593521807,-0.3297937285007819,-0.3084207474560073,-0.29027103284246003,-0.2753843644843523,-0.26299652352213904,-0.25250002057265974,-0.2434849644443032,-0.23563913173080991,-0.2287461713762786,-0.22263421066775213,-0.21715383404780844,-0.21222715540937948,-0.20773816096372832,-0.2036485821266425},
+{-0.39534139821239667,-0.7502970569240669,-0.6594056828518271,-0.53456879259741,-0.45103191953481664,-0.3947666606321758,-0.3502427273716406,-0.32970085403841054,-0.3083238140444472,-0.2901808458876956,-0.27530058091784354,-0.26291821492579975,-0.25242636856639034,-0.24341528243052693,-0.23557286823477827,-0.22868287764072034,-0.22257352053409368,-0.21709545108827566,-0.21217082507788246,-0.20768367827710105,-0.20359576618045488},
+{-0.39800127917958444,-0.750912738545356,-0.6593601064175123,-0.5344275136240315,-0.45088990468739576,-0.39463810586071135,-0.3501309437956053,-0.32960792891972224,-0.3082269392946241,-0.290090726769055,-0.27521686403334006,-0.26283997052398084,-0.25235277784409704,-0.24334565891526072,-0.23550666069354062,-0.22861963756836706,-0.222512882004057,-0.21703711787385285,-0.21211454281556535,-0.2076292421340267,-0.20354299539060605},
+{-0.4006552213239707,-0.7515256694639696,-0.6593136633199933,-0.5342860286470656,-0.45074787131091065,-0.39450959166410343,-0.350019242696867,-0.3295149540668921,-0.30813012335171097,-0.2900006754989759,-0.2751332138128018,-0.26276179028503643,-0.2522792483680343,-0.2432760938580813,-0.23544050906549963,-0.22855645111726813,-0.222452295035752,-0.21697883436296422,-0.21205830858133556,-0.20757485249397611,-0.20349026971711354},
+{-0.40330323276354385,-0.7521358559688051,-0.6592663580216922,-0.5341443393871903,-0.45060582012889283,-0.3943811183743975,-0.34990762397913716,-0.3294219303980948,-0.3080333663589958,-0.28991069208922926,-0.27504963023782614,-0.2626836741770748,-0.25220578010027833,-0.24320658721843677,-0.235374413308959,-0.22849331824538094,-0.22239175958721225,-0.21692060051399537,-0.21200212233404242,-0.207520509316373,-0.2034375891199617},
+{-0.40594532162282726,-0.7527433043468925,-0.6592181949653304,-0.534002447555602,-0.45046375186019716,-0.3942526863210758,-0.34979608754658126,-0.32932885882744767,-0.3079366684578555,-0.2898207765509168,-0.2749661132896174,-0.262605622167909,-0.252132373002683,-0.24313713895560082,-0.23530837338207997,-0.22843023891055111,-0.22233127561637386,-0.21686241628521563,-0.21194598403247095,-0.20746621256055736,-0.203384953559063},
+{-0.4085814960327331,-0.7533480208833154,-0.6591691785740006,-0.5338603548542136,-0.4503216672191679,-0.3941242958312006,-0.349684633303866,-0.32923574026497093,-0.3078400297878061,-0.28973092889450924,-0.2748826629490545,-0.26252763422510766,-0.25205902703694266,-0.24306774902872041,-0.23524238924292545,-0.2283672130705264,-0.22227084308111125,-0.21680428163486568,-0.21188989363535282,-0.20741196218584906,-0.20333236299430346},
+{-0.41121176413044724,-0.7539500118611754,-0.6591193132512435,-0.5337180629755548,-0.45017956691552996,-0.39399594722930303,-0.3495732611561681,-0.3291425756165085,-0.30774345048650625,-0.28964114912981365,-0.2747992791966343,-0.2624497103159733,-0.25198574216452474,-0.24299841739676997,-0.23517646084941826,-0.22830424068296234,-0.2222104619391877,-0.21674619652107666,-0.21183385110134578,-0.20735775815148486,-0.2032798173855302},
+{-0.413836134059309,-0.754549283561538,-0.659068603381139,-0.5335755736029083,-0.4500374516545125,-0.3938676408374666,-0.34946197100911913,-0.32904936578370403,-0.30764693068975746,-0.28955143726599286,-0.2747159620124935,-0.26237185040753846,-0.2519125183467331,-0.24292914401859328,-0.23511058815937314,-0.2282413217054054,-0.2221501321482993,-0.2166881609019381,-0.21177785638903085,-0.20730360041666526,-0.20322731669252592},
+{-0.41645461396867867,-0.755145842263387,-0.6590170533283899,-0.5334328884103798,-0.44989532213685723,-0.39373937697535477,-0.3493507627688756,-0.3289561116639491,-0.30755047053153883,-0.28946179331158167,-0.27463271137642126,-0.2622940544665847,-0.2518393555446821,-0.24285992885289573,-0.23504477113048555,-0.22817845609532478,-0.22208985366607084,-0.216630174735462,-0.21172190945698255,-0.20724948894053613,-0.2031748608750499},
+{-0.4190672120138149,-0.7557396942435597,-0.6589646674383907,-0.5332900090628266,-0.44975317905877044,-0.3936111559601486,-0.3492396363420497,-0.3288628141502996,-0.30745407014400494,-0.2893722172744715,-0.2745495272678485,-0.26221632245964294,-0.2517662537192949,-0.24279077185822107,-0.23497900972034272,-0.22811564381008492,-0.22202962645002983,-0.2165722379795871,-0.21166601026366416,-0.2071954236822037,-0.2031224498928152},
+{-0.4216739363557679,-0.756330845776718,-0.6589114500373171,-0.5331469372160659,-0.4496110231120636,-0.3934829781066567,-0.3491285916357407,-0.3287694741314937,-0.3073577296575187,-0.28928270916192567,-0.2744664096658674,-0.2621386543529894,-0.2516932128313082,-0.24272167299298447,-0.23491330388641413,-0.2280528848069616,-0.22196945045762567,-0.21651435059219445,-0.2116101587675124,-0.20714140460071595,-0.20307008370547736},
+{-0.42427479516123345,-0.7569193031352666,-0.658857405432208,-0.5330036745167847,-0.4494688549840792,-0.39335484372725427,-0.3490176285575436,-0.3286760924918516,-0.30726144920065684,-0.2891932689806104,-0.27438335854919843,-0.26206105011264663,-0.25162023284129226,-0.2426526322154581,-0.23484765358606582,-0.22799017904313168,-0.22190932564624793,-0.216456512531097,-0.21155435492689406,-0.20708743165506088,-0.20301776227268015},
+{-0.4268697966024543,-0.7575050725893301,-0.6588025379110415,-0.5328602226026576,-0.4493266753577708,-0.3932267531319441,-0.3489067470155013,-0.3285826701112603,-0.30716522890020753,-0.28910389673652825,-0.27430037389623685,-0.2619835097043853,-0.251547313709627,-0.24258364948376318,-0.23478205877651973,-0.22792752647568582,-0.22184925197318553,-0.21639872375402175,-0.2114985987001124,-0.20703350480419133,-0.20296548555398536},
+{-0.4294589488570885,-0.7580881604066789,-0.658746851742819,-0.5327165831024172,-0.44918448491174634,-0.393098706628361,-0.34879594691817045,-0.32848920786514485,-0.3070690688812207,-0.2890145924351109,-0.27421745568501493,-0.2619060330937457,-0.2514744553965123,-0.24251472475590546,-0.23471651941493027,-0.22786492706162206,-0.22178922939567122,-0.21634098421867012,-0.21144289004543407,-0.2069796240070206,-0.20291325350896566},
+{-0.4320422601080955,-0.7586685728526907,-0.6586903511776465,-0.5325727576358077,-0.4490422843202123,-0.3929707045217635,-0.3486852281745544,-0.32839570662440587,-0.30697296926699014,-0.28892535608116876,-0.27413460389325234,-0.26182862024600617,-0.25140165786197943,-0.24244585798974613,-0.2346510354583185,-0.22780238075785364,-0.22172925787086026,-0.2162832938826542,-0.21138722892106157,-0.20692578922238697,-0.20286106609711718},
+{-0.4346197385436157,-0.7592463161902842,-0.6586330404468022,-0.5324287478137449,-0.44890007425309414,-0.3928427471150808,-0.3485745906941251,-0.3283021672554025,-0.30687693017908474,-0.2888361876789041,-0.2740518184982982,-0.2617512711262258,-0.2513289210658904,-0.24237704914299407,-0.23458560686360597,-0.22773988752120497,-0.2216693373558153,-0.21622565270352814,-0.21133161528515396,-0.2068720004091154,-0.20280892327791303},
+{-0.43719139235685156,-0.7598213966798737,-0.6585749237628248,-0.5322845552382693,-0.448757855375971,-0.3927148347089011,-0.34846403438684637,-0.3282085906199029,-0.30678095173736136,-0.2887470872319299,-0.27396909947717596,-0.26167398569919603,-0.25125624496791665,-0.24230829817325297,-0.23452023358760843,-0.2276774473084017,-0.2216094678075442,-0.21616806063878752,-0.21127604909579473,-0.20681825752594785,-0.20275682501077855},
+{-0.43975722974595155,-0.760393820579309,-0.6585160053195985,-0.5321401815026331,-0.4486156283501787,-0.39258696760150025,-0.3483535591631074,-0.3281149775750703,-0.3066850340599694,-0.2886580547432578,-0.273886446806575,-0.26159676392948844,-0.2511836295275721,-0.24223960503796999,-0.23445491558701456,-0.2276150600761004,-0.22154964918297523,-0.2161105176458532,-0.21122053031101456,-0.20676456053161568,-0.20270477125509484},
+{-0.44231725891389867,-0.7609635941438355,-0.6584562892924255,-0.5319956281913949,-0.44847339383282026,-0.3924591460888707,-0.34824316493381535,-0.3280213289734206,-0.30658917726338103,-0.2885690902153246,-0.27380386046285937,-0.26151960578144645,-0.2511110747041959,-0.2421709696944719,-0.2343896528184471,-0.22755272578085903,-0.22148988143896808,-0.2160530236821085,-0.21116505888882622,-0.20671090938479075,-0.20265276197024706},
+{-0.44487148806839116,-0.761530723626021,-0.6583957798380963,-0.5318508968803354,-0.4483311524767116,-0.39233137046467936,-0.3481328516102917,-0.3279276456627872,-0.3064933814623977,-0.28848019364997185,-0.2737213404220584,-0.26144251121916934,-0.251038580456972,-0.24210239209998086,-0.23432444523840343,-0.2274904443791677,-0.2214301645323305,-0.21599557870487043,-0.2111096347871567,-0.2066573040441074,-0.20260079711553244},
+{-0.44741992542172093,-0.7620952152757076,-0.6583344810949745,-0.5317059891366525,-0.44818890493052815,-0.39220364102036065,-0.3480226191043335,-0.32783392848631254,-0.30639764677015696,-0.28839136504847873,-0.27363888665987474,-0.26136548020653977,-0.2509661467449066,-0.2420338722115423,-0.23425929280328717,-0.22742821582741954,-0.22137049841977122,-0.21593818267139034,-0.21105425796391525,-0.20660374446815066,-0.20254887665023874},
+{-0.449962579190675,-0.7626570753399627,-0.6582723971830831,-0.5315609065188991,-0.4480466518387106,-0.392075958045059,-0.3479124673282038,-0.3277401782824125,-0.3063019732981522,-0.2883026044115281,-0.27355649915167696,-0.26128851270718695,-0.25089377352684405,-0.2419654099861198,-0.2341941954693918,-0.22736604008192549,-0.22131088305793783,-0.21588083553886672,-0.21099892837692158,-0.20655023061545946,-0.2024970005336201},
+{-0.45249945759640786,-0.7632163100630184,-0.6582095322041681,-0.5314156505770742,-0.4479043938415884,-0.3919483218256849,-0.3478023961945879,-0.3276463958847361,-0.306206361156251,-0.28821391173925087,-0.2734741778725159,-0.2612116086845361,-0.25082146076145784,-0.24189700538051373,-0.23412915319291241,-0.2273039170989127,-0.22125131840341727,-0.21582353726442674,-0.2109436459839629,-0.20649676244453768,-0.20244516872487606},
+{-0.455030568864336,-0.7637729256862122,-0.6581458902417773,-0.5312702228526907,-0.44776213157535893,-0.39182073264693046,-0.3476924056166605,-0.3275525821221766,-0.3061108104527202,-0.28812528703121376,-0.2733919227971317,-0.26113476810177816,-0.2507492084072811,-0.2418286583514388,-0.23406416592995988,-0.22724184683454812,-0.22119180441274117,-0.2157662878051721,-0.21088841074280026,-0.20644333991385774,-0.20239338118320246},
+{-0.4575559212240258,-0.7643269284479437,-0.6580814753613548,-0.5311246248787315,-0.4476198656720799,-0.39169319079124,-0.3475824955080131,-0.3274587378188102,-0.3060153212942061,-0.2880367302864214,-0.2733097338999303,-0.26105799092188403,-0.2506770164226735,-0.2417603688554551,-0.233999233636535,-0.22717982924488966,-0.22113234104235202,-0.2157090871181275,-0.21083322261111778,-0.20638996298182377,-0.20234163786772758},
+{-0.4600755229090776,-0.7648783245835984,-0.6580162916102871,-0.5309788581798118,-0.4474775967597658,-0.3915656965388779,-0.34747266578268965,-0.32736486379391444,-0.3059198937857682,-0.2879482415033158,-0.27322761115500693,-0.2609812771076197,-0.2506048847658383,-0.24169213684902463,-0.2339343562685491,-0.22711786428594608,-0.2210729282486376,-0.2156519351602731,-0.2107780815465713,-0.2063366316068407,-0.20228993873757173},
+{-0.46258938215702383,-0.7654271203255174,-0.6579503430180003,-0.5308329242721292,-0.4473353254623311,-0.3914382501679087,-0.3473629163551884,-0.32727096086192003,-0.3058245280309118,-0.28785982067980187,-0.27314555453615624,-0.26090462662150415,-0.2505328133948246,-0.24162396228848293,-0.2338695337818275,-0.22705595191363154,-0.2210135659879367,-0.2155948318885232,-0.21072298750676138,-0.20628334574723534,-0.20223828375180747},
+{-0.4650975072092116,-0.7659733219029208,-0.6578836335960447,-0.5306868246635434,-0.4471930523996876,-0.39131085195421633,-0.3472532471404203,-0.32717702983240704,-0.3057292241315684,-0.28777146781323065,-0.27306356401683646,-0.26082803942585175,-0.25046080226752016,-0.2415558451300314,-0.23380476613207773,-0.22699409208377155,-0.22095425421649886,-0.2155377772597441,-0.2106679404492433,-0.20623010536131858,-0.20218667286947845},
+{-0.46759990631068926,-0.7665169355418588,-0.6578161673381302,-0.5305405608536612,-0.44705077818774147,-0.39118350217153786,-0.3471436580537742,-0.3270830715100902,-0.30563398218813437,-0.287683182900421,-0.27298163957022314,-0.2607515154827809,-0.25038885134168476,-0.24148778532978205,-0.23374005327493586,-0.2269322847521515,-0.2208949928905366,-0.21548077123076204,-0.21061294033153166,-0.20617691040736463,-0.20213510604960222},
+{-0.4700965877101188,-0.7670579674651585,-0.6577479482202574,-0.5303941343337677,-0.4469085034383583,-0.3910562010914195,-0.34703414901102086,-0.326989086694789,-0.3055388022994545,-0.287594965937634,-0.272899781169155,-0.2606750547541729,-0.2503169605748925,-0.24141978284371127,-0.23367539516593808,-0.22687052987444445,-0.22083578196617626,-0.21542381375833974,-0.21055798711109946,-0.20612376084359119,-0.2020835832511635},
+{-0.47258755965964017,-0.7675964238923634,-0.6576789802007477,-0.5302475465870158,-0.44676622875950533,-0.39092894898332253,-0.34692471992840357,-0.3268950761814474,-0.3054436845628867,-0.2875068169206304,-0.2728179887861991,-0.2605986572017132,-0.2502451299245987,-0.24135183762768497,-0.23361079176054433,-0.22680882740627825,-0.22077662139950716,-0.21536690479919168,-0.21050308074538088,-0.20607065662820884,-0.202032104433103},
+{-0.4750728304147831,-0.7681323110396677,-0.6576092672203282,-0.5301007990883427,-0.4466239547551345,-0.39080174611453733,-0.3468153707225734,-0.3268010407600699,-0.3053486290742674,-0.2874187358446195,-0.2727362623935971,-0.2605223227868822,-0.25017335934808177,-0.24128394963745797,-0.23354624301411436,-0.22674717730319943,-0.22071751114655133,-0.2153100443099874,-0.2104482211917594,-0.2060175977193594,-0.20198066955435828},
+{-0.4775524082343574,-0.7686656351198864,-0.6575388132022266,-0.529953893304564,-0.44648168202533,-0.39067459275026173,-0.34670610131059626,-0.32670698121575553,-0.3052536359279383,-0.28733072270429094,-0.27265460196329394,-0.2604460514709316,-0.25010164880249525,-0.2412161188286654,-0.23348174888190595,-0.22668557952066448,-0.2206584511632574,-0.21525323224733234,-0.2103934084075676,-0.20596458407516877,-0.20192927857379692},
+{-0.48002630138034263,-0.7691964023423639,-0.6574676220522215,-0.5298068306944778,-0.44633941116627857,-0.39054748915361814,-0.3465969116099897,-0.3266128983286797,-0.30515870521677313,-0.2872427774938237,-0.2725730074669435,-0.2603698432149308,-0.25002999824484096,-0.24114834515685954,-0.23341730931911947,-0.2266240340140855,-0.22059944140554627,-0.21519646856781044,-0.21033864235013497,-0.205911615653722,-0.20187793145030464},
+{-0.48249451811778477,-0.7697246189129452,-0.6573956976587275,-0.5296596127087618,-0.4461971427702467,-0.390420435585588,-0.3464878015386607,-0.3265187928740581,-0.30506383703217527,-0.2871549002068777,-0.27249147887589714,-0.2602936979797408,-0.24995840763198224,-0.2410806285774345,-0.2333529242808552,-0.22656254073878582,-0.22054048182924846,-0.21513975322793072,-0.21028392297670295,-0.20585869241307855,-0.20182662814270177},
+{-0.4849570667146937,-0.7702502910339076,-0.657323043892862,-0.5295122407901637,-0.44605487742569916,-0.3902934323051285,-0.3463787710149456,-0.32642466562217143,-0.3049690314641022,-0.287067090836604,-0.2724100161612165,-0.2602176157260258,-0.24988687692063102,-0.24101296904572428,-0.2332885937221283,-0.22650109965002896,-0.22048157239015742,-0.21508308618417477,-0.21022925024451258,-0.2058058143112529,-0.2017753686097814},
+{-0.4874139554419354,-0.7707734249039014,-0.657249664608528,-0.5293647163734556,-0.4459126157172171,-0.39016647956912526,-0.3462698199575968,-0.3263305173383424,-0.30487428860108473,-0.28697934937565417,-0.2723286192936746,-0.26014159641424633,-0.24981540606736513,-0.24094536651693332,-0.23322431759788112,-0.22643971070301355,-0.22042271304401895,-0.21502646739296535,-0.21017462411075116,-0.2057529813062257,-0.20172415281035355},
+{-0.4898651925731373,-0.7712940267178954,-0.6571755636424792,-0.5292170408854806,-0.4457703582256069,-0.39003957763238817,-0.3461609482857503,-0.3262363487829257,-0.30477960853020725,-0.28689167581616576,-0.27224728824374,-0.26006564000465565,-0.24974399502861802,-0.24087782094614288,-0.23316009586294453,-0.22637837385285087,-0.2203639037464989,-0.21496989681068487,-0.21012004453255997,-0.2057001933559469,-0.20167298070312306},
+{-0.49231078638457415,-0.771812102667121,-0.6571007448143935,-0.5290692157452667,-0.4456281055279054,-0.3899127267477379,-0.34605215591898825,-0.3261421607113223,-0.3046849913371571,-0.2868040701497815,-0.2721660229816163,-0.2599897464573338,-0.24967264376069012,-0.24081033228836823,-0.2330959284721092,-0.2263170890546094,-0.22030514445322516,-0.21491337439366281,-0.21006551146705688,-0.20564745041834442,-0.20162185224684626},
+{-0.4947507451550719,-0.77232765893902,-0.6570252119269525,-0.5289212423639503,-0.44548585819732306,-0.38978592716592864,-0.345943442777259,-0.3260479538739522,-0.3045904371062161,-0.28671653236766914,-0.27208482347720697,-0.2599139157321442,-0.24960135221974672,-0.24074290049849098,-0.23303181538005419,-0.22625585626328143,-0.22024643511978254,-0.21485690009820851,-0.21001102487132467,-0.20559475245130435,-0.20157076740020963},
+{-0.4971850771659135,-0.7728407017171829,-0.6569489687659044,-0.5287731221449442,-0.44534361680339757,-0.3896591791357349,-0.34583480878093764,-0.3259537290162751,-0.30449594592029516,-0.28662906246048336,-0.2720036897001393,-0.2598381477887927,-0.249530120361823,-0.2406755255313079,-0.232967756541398,-0.22619467543379745,-0.2201877757016761,-0.21480047388056345,-0.20995658470240547,-0.20554209941269042,-0.2015197261218781},
+{-0.4996137907007241,-0.773351237181281,-0.6568720191001332,-0.5286248564838707,-0.44520138191187064,-0.3895324829039162,-0.3457262538507846,-0.3258594868787606,-0.3044015178609142,-0.28654166041842044,-0.27192262161975395,-0.2597624425867562,-0.24945894814280517,-0.24060820734151156,-0.23290375191066784,-0.22613354652101578,-0.22012916615438433,-0.21474409569693376,-0.20990219091730397,-0.20548949126031546,-0.2014687283705024},
+{-0.502036894045379,-0.77385927150703,-0.6567943666817485,-0.5284764467686502,-0.4450591540848382,-0.3894058387152489,-0.3456177779079359,-0.32576522819691667,-0.3043071530082368,-0.28645432623117356,-0.271841619205111,-0.2596868000853347,-0.2493878355184505,-0.24054094588367023,-0.23283980144231395,-0.22607246947973558,-0.2200706064333152,-0.2146877655034723,-0.20984784347298682,-0.20543692795197993,-0.20141777410469036},
+{-0.5044543954879097,-0.7743648108661277,-0.656716015246138,-0.5283278943796018,-0.4449169338807217,-0.38927924681255793,-0.3455093808739675,-0.3256709537012786,-0.30421285144110743,-0.2863670598879833,-0.27176068242501517,-0.259611220243676,-0.24931678244440947,-0.24047374111230357,-0.2327759050907297,-0.2260114442647117,-0.22001209649385015,-0.21463148325632014,-0.20979354232641023,-0.2053844094454665,-0.20136686328304337},
+{-0.5068663033183907,-0.7748678614261785,-0.6566369685120405,-0.5281792006893151,-0.4447747218542213,-0.3891527074366567,-0.3454010626707769,-0.3255766641173852,-0.3041186132369845,-0.2862798613775922,-0.27167981124796803,-0.2595357030206942,-0.2492457888761728,-0.24040659298178785,-0.23271206281020734,-0.22595047083060749,-0.21995363629129996,-0.21457524891154714,-0.2097392874344628,-0.20533193569849842,-0.2013159958641309},
+{-0.5092726258288578,-0.7753684293506627,-0.6565572301816295,-0.528030367062895,-0.44463251855648156,-0.3890262208264608,-0.34529282322070054,-0.32548236016582743,-0.3040244384720542,-0.28619273068830126,-0.27159900564222245,-0.25946024837515363,-0.24917485476912643,-0.24033950144642352,-0.23264827455497722,-0.2258895491320524,-0.2198952257809346,-0.21451906242519814,-0.20968507875404005,-0.20527950666879047,-0.201265171806491},
+{-0.5116733713131985,-0.7758665207988704,-0.65647680394057,-0.5278813948578494,-0.4444903245349473,-0.388899787218918,-0.345184662446434,-0.3253880425622152,-0.3039303272211481,-0.28610566780793967,-0.2715182655757435,-0.25938485626562197,-0.24910398007851625,-0.24027246646041064,-0.2325845402792014,-0.22582867912360435,-0.21983686491798005,-0.2144629237532732,-0.20963091624196745,-0.20522712231402335,-0.20121439106865768},
+{-0.5140685480670628,-0.7763621419258393,-0.6563956934580981,-0.5277322854241824,-0.44434814033352626,-0.3887734068490573,-0.34507658027103943,-0.32529371201718005,-0.3038362795578412,-0.2860186727238645,-0.27143759101623416,-0.2593095266504978,-0.24903316475945947,-0.240205487977851,-0.23252085993695243,-0.2257678607597548,-0.2197785536576124,-0.2144068328517303,-0.20957679985505662,-0.205174782591851,-0.20116365360911645},
+{-0.5164581643877587,-0.7768552988822977,-0.6563139023870757,-0.5275830401044803,-0.4442059664925525,-0.38864707995000736,-0.34496857661798086,-0.3251993692364183,-0.3037422955543949,-0.2859317454230036,-0.27135698193114416,-0.25923425948800133,-0.24896240876696768,-0.24013856595277738,-0.23245723348225145,-0.22570709399496303,-0.2197202919549558,-0.21435078967649884,-0.20952272955010626,-0.20512248745990863,-0.20111295938635543},
+{-0.5188422285741683,-0.7773459978146309,-0.6562314343640905,-0.527433660233837,-0.444063803548759,-0.3885208067529681,-0.34486065141106453,-0.3251050149206381,-0.3036483752818051,-0.28584488589181883,-0.27127643828764153,-0.2591590547361662,-0.24889171205591892,-0.24007170033909664,-0.23239366086903368,-0.22564637878360766,-0.21966207976510027,-0.21429479418346833,-0.2094687052838533,-0.20507023687578738,-0.2010623083588254},
+{-0.5212207489266435,-0.7778342448647881,-0.6561482930094855,-0.5272841471400225,-0.44392165203540385,-0.3883945874872746,-0.3447528045744877,-0.32501064976561833,-0.30355451880981615,-0.2857580941163243,-0.27119596005263985,-0.2590839123528684,-0.2488210745810756,-0.24000489109064704,-0.2323301420511738,-0.22558571508002545,-0.21960391704308316,-0.21423884632848472,-0.2094147270130282,-0.2050180307970811,-0.2010117004849634},
+{-0.5235937337469128,-0.7783200461702566,-0.6560644819274514,-0.5271345021434136,-0.44377951248216174,-0.3882684223803647,-0.34464503603280605,-0.32491627446217364,-0.30346072620690207,-0.2856713700821087,-0.2711155471927967,-0.2590088322958057,-0.24875049629706877,-0.2399381381611777,-0.23226667698247797,-0.22552510283849486,-0.21954580374390364,-0.21418294606737093,-0.20936079469432722,-0.20496586918132165,-0.20096113572319102},
+{-0.5259611913379951,-0.7788034078639993,-0.6559800047061113,-0.5269847265570922,-0.44363738541527276,-0.38814231165781155,-0.34453734571092187,-0.3248218896961848,-0.3033669975403083,-0.2855847137743067,-0.2710351996744954,-0.2589338145224942,-0.2486799771584219,-0.2398714415043282,-0.232203265616667,-0.2254645420132281,-0.2194877398225119,-0.21412709335589314,-0.20930690828440285,-0.204913751986053,-0.20091061403189114},
+{-0.5283231300040929,-0.7792843360743846,-0.6558948649175365,-0.5268348216869075,-0.44349527135750094,-0.3880162555433621,-0.34442973353412115,-0.32472749614860574,-0.3032733328760655,-0.28549812517761564,-0.27095491746389133,-0.2588588589903054,-0.24860951711953722,-0.23980480107368102,-0.23213990790741806,-0.22540403255841154,-0.21942972523381699,-0.21407128814980467,-0.20925306773991265,-0.20486167916877698,-0.20086013536945635},
+{-0.5306795580505164,-0.7797628369251561,-0.6558090661178815,-0.526684788831401,-0.4433531708281051,-0.3878902542588562,-0.34432219942802406,-0.32463309449544664,-0.3031797322789698,-0.2854116042763217,-0.27087470052686236,-0.25878396565642114,-0.24853911613470955,-0.23973821682271135,-0.2320766038083335,-0.22534357442815223,-0.21937175993268643,-0.21401553040481608,-0.20919927301744945,-0.204809650686978,-0.20080969969424406},
+{-0.5330304837835789,-0.7802389165353543,-0.6557226118473967,-0.5265346292819972,-0.4432110843429795,-0.3877643080243655,-0.3442147433186156,-0.3245386854078339,-0.3030861958126212,-0.2853251510542732,-0.2707945488290459,-0.2587091344778747,-0.24846877415811258,-0.23967168870480715,-0.2320133532729378,-0.22528316757651348,-0.2193138438739518,-0.213959820076604,-0.20914552407361536,-0.2047576664981219,-0.2007593069645957},
+{-0.5353759155105069,-0.7807125810192745,-0.6556355056305236,-0.5263843443229146,-0.44306901241453833,-0.38763841705809915,-0.3441073651322274,-0.32444426955195627,-0.3029927235394382,-0.28523876549490135,-0.2707144623358279,-0.25863436541153434,-0.24839849114379148,-0.2396052166732966,-0.23195015625471505,-0.22522281195753188,-0.21925597701239988,-0.2139041571208183,-0.20909182086496703,-0.20470572655965152,-0.20070895713886344},
+{-0.5377158615393587,-0.7811838364864069,-0.6555477509759544,-0.52623393523125,-0.4429269555518371,-0.38751258157646246,-0.34400006479552125,-0.3243498475891136,-0.3028993155206374,-0.2851524475812131,-0.27063444101233747,-0.25855965841408957,-0.24832826704570393,-0.23953880068138297,-0.23188701270706086,-0.22516250752514896,-0.21919815930277203,-0.21384854149306715,-0.20903816334802255,-0.20465383082898103,-0.20065865017533713},
+{-0.5400503301789255,-0.781652689041393,-0.655459351376708,-0.526083403277082,-0.4427849142605832,-0.387386801794086,-0.3438928422355343,-0.32425542017573405,-0.3028059718162869,-0.28506619729580124,-0.27055448482347155,-0.258485013442089,-0.24825810181769856,-0.23947244068224344,-0.23182392258332613,-0.22510225423329872,-0.21914039069978347,-0.21379297314894358,-0.20898455147930894,-0.20460197926352275,-0.20060838603234704},
+{-0.5423793297386403,-0.7821191447839481,-0.65537031031018,-0.5259327497233532,-0.44264288904305726,-0.3872610779237693,-0.34378569737960724,-0.32416098796335246,-0.30271269248527877,-0.2849800146208636,-0.27047459373387817,-0.2584104304519138,-0.24818799541348455,-0.23940613662891708,-0.23176088583678933,-0.22504205203584077,-0.21908267115809696,-0.2137374520439899,-0.20893098521529763,-0.20455017182066215,-0.2005581646681707},
+{-0.5447028685284999,-0.7825832098088368,-0.6552806312382253,-0.525781975826078,-0.44250088039828583,-0.38713541017657105,-0.3436786301554418,-0.3240665515986449,-0.30261947758536534,-0.2848938995381698,-0.27039476770795484,-0.2583359093997969,-0.2481179477866894,-0.23933988847439633,-0.23169790242066596,-0.2249819008865978,-0.21902500063234692,-0.21368197813373152,-0.20887746451245937,-0.20449840845777262,-0.2005079860410911},
+{-0.5470209548589618,-0.7830448902057934,-0.6551903176072135,-0.5256310828342525,-0.44235888882189833,-0.3870097987617611,-0.34357164049106775,-0.32397211172344553,-0.3025263271731725,-0.28480785202911696,-0.27031500670988085,-0.2582614502418141,-0.24804795889082148,-0.23927369617159067,-0.23163497228812896,-0.2249218007393563,-0.21896737907713376,-0.21362655137367134,-0.20882398932723514,-0.2044466891322032,-0.2004578501093927},
+{-0.5493335970408724,-0.7835041920594887,-0.6550993728481053,-0.5254800719899446,-0.4422169148062765,-0.38688424388685444,-0.3434647283148254,-0.32387766897473436,-0.30243324130417726,-0.2847218720746726,-0.270235310703568,-0.25818705293387645,-0.24797802867928717,-0.23920755967332288,-0.23157209539225848,-0.22486175154782312,-0.21890980644700908,-0.21357117171926418,-0.20877055961602226,-0.2043950138013014,-0.20040775683131826},
+{-0.551640803385365,-0.7839611214494545,-0.6550078003765003,-0.525328944528367,-0.44207495884053133,-0.3867587457576427,-0.34335789355541035,-0.3237832239846662,-0.302340220032763,-0.2846359596554152,-0.2701556796527172,-0.25811271743175496,-0.24790815710539227,-0.23914147893234053,-0.23150927168610552,-0.22480175326569418,-0.2188522826964937,-0.21351583912595062,-0.20871717533522072,-0.2043433824223867,-0.2003577061651389},
+{-0.5539425822037821,-0.7844156844500619,-0.654915603592733,-0.5251777016777985,-0.44193302141046575,-0.3866333045781555,-0.3432511361418231,-0.32368877738059143,-0.30224726341219216,-0.28455011475155007,-0.2700761135207848,-0.2580384436910661,-0.24783834412233252,-0.2390754539013294,-0.23144650112266085,-0.22474180584660491,-0.21879480778008464,-0.21346055354915222,-0.2086638364412121,-0.20429179495277894,-0.20030769806910553},
+{-0.5562389418075897,-0.7848678871304385,-0.6548227858819025,-0.5250263446597706,-0.4417911029987053,-0.3865079205507127,-0.34314445600339255,-0.3235943297850621,-0.3021543714946481,-0.2844643373428838,-0.2699966122709979,-0.25796423166728905,-0.24776858968320836,-0.239009484532883,-0.23138378365483542,-0.2246819092441586,-0.21873738165222956,-0.21340531494424386,-0.20861054289034464,-0.20424025134978074,-0.2002577325014548},
+{-0.5585298905082843,-0.785317735554429,-0.6547293506139654,-0.5248748746889647,-0.4416492040845774,-0.38638259387591484,-0.34303785306976575,-0.32349988181583306,-0.3020615443312172,-0.2843786274088415,-0.2699171758663488,-0.2578900813157414,-0.24769889374099868,-0.2389435707795331,-0.2313211192355113,-0.2246220634119016,-0.21868000426734563,-0.21335012326659453,-0.20855729463894582,-0.20418875157067706,-0.20020780942042088},
+{-0.5608154366173166,-0.7857652357805415,-0.6546353011437748,-0.5247232929733174,-0.4415073251442606,-0.3862573247526572,-0.3429313272708924,-0.3234054340858915,-0.3019687819719175,-0.2842929849284563,-0.26983780426959386,-0.2578159925915863,-0.24762925624860427,-0.2388777125937151,-0.23125850781748722,-0.22456226830332698,-0.21862267557981824,-0.21329497847152712,-0.2085040916433169,-0.20413729557274488,-0.20015792878422806},
+{-0.5630955884460029,-0.7862103938619052,-0.6545406408111761,-0.524571600714097,-0.44136546665075016,-0.38613211337816067,-0.3428248785370483,-0.3233109872034813,-0.3018760844657104,-0.284207409880399,-0.2697584974432919,-0.25774196544988165,-0.24755967715882063,-0.23881190992783397,-0.2311959493535333,-0.2245025238719222,-0.21856539554400004,-0.21323988051436327,-0.20845093385976413,-0.20408588331327981,-0.20010809055110085},
+{-0.5653703543054411,-0.7866532158462041,-0.6544453729410563,-0.5244197991058188,-0.4412236290738313,-0.38600695994794076,-0.3427185067988062,-0.3232165417720916,-0.3017834518605044,-0.2841219022429617,-0.26967925534975157,-0.2576679998455036,-0.24749015642434863,-0.2387461627341961,-0.23113344379634415,-0.22444283007111437,-0.2185081641142192,-0.21318482935038185,-0.20839782124454487,-0.204034514749517,-0.20005829467925706},
+{-0.5676397425064289,-0.7870937077756319,-0.6543495008433867,-0.5242678893364103,-0.44108181288019965,-0.38588186465586055,-0.34261221198705755,-0.3231220983905,-0.30169088420315376,-0.28403646199406973,-0.2696000779510715,-0.2575940957332077,-0.2474206939977939,-0.23868047096503708,-0.23107099109857626,-0.22438318685426956,-0.21845098124474965,-0.21312982493485277,-0.20834475375394043,-0.2039831898387335,-0.20000854112690072},
+{-0.5699037613593793,-0.7875318756868385,-0.6542530278133195,-0.52411587258714,-0.4409400185333402,-0.38575682769410913,-0.34250599403298465,-0.3230276576527719,-0.3015983815394886,-0.2839510891112725,-0.2695209652091166,-0.25752025306760984,-0.24735128983165414,-0.23861483457253135,-0.23100859121282585,-0.22432359417475706,-0.2183938468898576,-0.21307486722300467,-0.20829173134416412,-0.20393190853815765,-0.19995882985225089},
+{-0.5721624191742428,-0.787967725610891,-0.6541559571312381,-0.5239637500327112,-0.4407982464936884,-0.3856318492532165,-0.34239985286806274,-0.32293322014827347,-0.30150594391431484,-0.2838657835717609,-0.26944191708554077,-0.25744647180317565,-0.24728194387833724,-0.2385492535087818,-0.23094624409163544,-0.22426405198586877,-0.2183367610037734,-0.21301995617006472,-0.20823875397142694,-0.2038806708050461,-0.19990916081349788},
+{-0.5744157242604176,-0.7884012635732021,-0.6540582920628127,-0.5238115228413118,-0.44065649721858247,-0.3855069295220993,-0.3422937884240776,-0.32283878646171427,-0.3014135713714263,-0.28378054535236724,-0.2693629335417992,-0.25737275189424935,-0.24721265609016577,-0.2384837277258368,-0.23088394968750311,-0.22420456024088,-0.21827972354068126,-0.2129650917312266,-0.20818582159195698,-0.2038294765966274,-0.19985953396884296},
+{-0.5766636849266795,-0.7888324955935073,-0.6539600358590769,-0.5236591921745691,-0.4405147711622409,-0.3853820686880124,-0.34218780063310494,-0.3227443571731309,-0.3013212639536166,-0.2836953744295679,-0.2692840145390973,-0.2572990932950405,-0.24714342641936085,-0.23841825717566056,-0.2308217079528675,-0.22414511889301464,-0.21822273445476403,-0.21291027386166433,-0.20813293416192505,-0.20377832587013334,-0.19980994927647458},
+{-0.5789063094810902,-0.7892614276857866,-0.6538611917564814,-0.5235067591876846,-0.44037306877587623,-0.38525726693661544,-0.34208188942749673,-0.3226499328579366,-0.3012290217026742,-0.28361027077947537,-0.2692051600384535,-0.2572254959596046,-0.24707425481807355,-0.23835284181016814,-0.23075951884013302,-0.22408572789547954,-0.21816579370014347,-0.21285550251653013,-0.20808009163750302,-0.20372721858278894,-0.19976040669457873},
+{-0.5811436062309263,-0.7896880658582388,-0.6537617629769548,-0.5233542250293814,-0.44023139050760074,-0.38513252445193025,-0.34197605473992154,-0.32255551408691585,-0.30113684465941737,-0.28352523437786836,-0.2691263700006729,-0.25715195984189787,-0.24700514123833467,-0.23828748158119928,-0.23069738230164438,-0.22402638720142937,-0.21810890123094853,-0.21280077765096206,-0.2080272939748538,-0.20367615469180764,-0.19971090618134388},
+{-0.5833755834825975,-0.7901124161132179,-0.6536617527279793,-0.5232015908419798,-0.44008973680253266,-0.3850078414163939,-0.34187029650329864,-0.3224611014262553,-0.3010447328636834,-0.28344026520015475,-0.2690476443863371,-0.25707848489571616,-0.24693608563210895,-0.2382221764405419,-0.2306352982896962,-0.2239670967639812,-0.21805205700126135,-0.212746099220082,-0.20797454113010838,-0.20362513415441386,-0.1996614476949443},
+{-0.5856022495415609,-0.7905344844471914,-0.6535611642026296,-0.5230488577614663,-0.4399481081028137,-0.3848832180108722,-0.3417646146508561,-0.32236669543755364,-0.30095268635434214,-0.28335536322141736,-0.26896898315583223,-0.2570050710747531,-0.24686708795126217,-0.23815692633991292,-0.23057326675653897,-0.22390785653623302,-0.21799526096512772,-0.2126914671789687,-0.2079218330594034,-0.20357415692780853,-0.1996120311935585},
+{-0.5878236127122549,-0.7909542768506919,-0.6534600005796629,-0.5228960269174147,-0.43980650484752426,-0.3847586544145914,-0.3416590091160868,-0.3222722966778481,-0.300860705169316,-0.28327052841638234,-0.268890386269343,-0.2569317183325535,-0.24679814814758216,-0.23809173123097055,-0.23051128765437812,-0.22384866647123017,-0.21793851307658796,-0.21263688148271698,-0.2078691697188397,-0.20352322296920142,-0.19956265663536668},
+{-0.5900396812980135,-0.7913717993082691,-0.653358265023552,-0.522743099433163,-0.43966492747285046,-0.3846341508052688,-0.34155347983280665,-0.3221779056996441,-0.3007687893455712,-0.28318576075944324,-0.2688118536868358,-0.2568584266225471,-0.24672926617277186,-0.2380265910653106,-0.2304493609353756,-0.22378952652199594,-0.21788181328964315,-0.21258234208636556,-0.20781655106452315,-0.20347233223578873,-0.19951332397852667},
+{-0.5922504636009851,-0.7917870577984247,-0.653255960684568,-0.5225900764257316,-0.43952337641194683,-0.384509707359021,-0.3414480267351694,-0.32208352305090704,-0.3006769389191445,-0.28310106022466686,-0.2687333853680917,-0.2567851958980548,-0.24666044197843318,-0.2379615057944885,-0.2303874865516532,-0.2237304366415299,-0.21782516155827716,-0.21252784894497473,-0.20776397705254235,-0.2034214846847789,-0.19946403318122152},
+{-0.5944559679220676,-0.7922000582936009,-0.6531530906988248,-0.5224369590058895,-0.43938185209507125,-0.38438532425040906,-0.3413426497577898,-0.32198914927509525,-0.3005851539251335,-0.28301642678575895,-0.2686549812726874,-0.25671202611224075,-0.24659167551610017,-0.23789647536996716,-0.2303256644552804,-0.2236713967827738,-0.21776855783646415,-0.21247340201356266,-0.20771144763896823,-0.2033706802733453,-0.19941478420159167},
+{-0.5966562025608242,-0.7926108067601021,-0.6530496581883573,-0.5222837482782599,-0.43924035494957764,-0.38426100165249344,-0.34123734883602974,-0.32189478491120493,-0.30049343439772774,-0.2829318604161173,-0.2685766413599942,-0.25663891721816523,-0.24652296673723173,-0.23783149974319484,-0.23026389459827457,-0.22361240689866904,-0.21771200207812097,-0.212419001247139,-0.20765896277986204,-0.20331991895869192,-0.19936557699782312},
+{-0.5988511758154078,-0.7930193091580585,-0.6529456662611677,-0.5221304453412002,-0.43909888539985886,-0.38413673973674267,-0.3411321239064256,-0.32180043049374607,-0.300401780370201,-0.28284736108879516,-0.2684983655891985,-0.2565658691687742,-0.2464543155931909,-0.23776657886551822,-0.2302021769326326,-0.22355346694209866,-0.21765549423716493,-0.21236464660068735,-0.2076065224312647,-0.20326920069798518,-0.19931641152805607},
+{-0.6010408959824882,-0.7934255714413845,-0.652841118011285,-0.5219770512870086,-0.43895744386748403,-0.3840125386731459,-0.34102697490752854,-0.321706086552797,-0.30031019187491353,-0.28276292877653175,-0.26842015391927904,-0.25649288191688857,-0.2463857220352574,-0.23770171268825202,-0.23014051141030056,-0.22349457686591992,-0.21759903426747562,-0.21231033802918406,-0.20755412654923155,-0.20321852544840993,-0.19926728775043862},
+{-0.6032253713571726,-0.7938295995577243,-0.6527360165188443,-0.5218235672018132,-0.4388160307710897,-0.3838883986301591,-0.3409219017811595,-0.3216117536140244,-0.30021866894336674,-0.28267856345174375,-0.2683420063090445,-0.2564199554152236,-0.24631718601465558,-0.2376369011626696,-0.23007889798318498,-0.2234357366229876,-0.21754262212294187,-0.2122560754876006,-0.20750177508977832,-0.2031678931671398,-0.1992182056231428},
+{-0.6054046102329418,-0.794231399448413,-0.6526303648501117,-0.5216699941656732,-0.4386746465264795,-0.38376431977471803,-0.34081690447430346,-0.3215174321986649,-0.30012721160613237,-0.28259426508650626,-0.2682639227170891,-0.2563470896163572,-0.246248707482502,-0.23757214423996165,-0.2300173366031419,-0.2233769461660962,-0.21748625775741115,-0.21220185893087234,-0.20744946800891859,-0.20311730381133186,-0.1991691651042923},
+{-0.6075786209015691,-0.7946309770484232,-0.6525241660575791,-0.5215163332526345,-0.43853329154665455,-0.3836403022723002,-0.34071198294180544,-0.3214231228236084,-0.3000358198929338,-0.2825100336525782,-0.2681859031018343,-0.2562742844727528,-0.24618028638985273,-0.23750744187127937,-0.22995582722199995,-0.22331820544801856,-0.21742994112470135,-0.21214768831394062,-0.2073972052626736,-0.20306675733815074,-0.1991201661520479},
+{-0.6097474116530394,-0.7950283382863327,-0.6524174231800111,-0.5213625855306698,-0.43839196624172916,-0.38351634628686126,-0.34060713714997226,-0.32132882600137,-0.299944493832621,-0.28242586912141043,-0.268107947421512,-0.2562015399367964,-0.24611192268769405,-0.23744279400773077,-0.2298943697915578,-0.22325951442152242,-0.21737367217863507,-0.2120935635917232,-0.20734498680703503,-0.20301625370473964,-0.1990712087245534},
+{-0.6119109907755002,-0.7954234890842682,-0.6523101392424919,-0.5212087520618289,-0.4382506710190791,-0.383392451980898,-0.34050236708126047,-0.32123454224013853,-0.29985323345318915,-0.28234177146413336,-0.26803005563417004,-0.256128855960726,-0.2460436163269309,-0.23737820060036313,-0.22983296426355304,-0.22320087303931996,-0.21731745087298387,-0.21203948471911038,-0.2072928125979882,-0.20296579286826302,-0.19902229277995012},
+{-0.6140693665551606,-0.7958164353578585,-0.6522023172564902,-0.5210548339021605,-0.4381094062832037,-0.3832686195154239,-0.34039767274011745,-0.3211402720437803,-0.299762038781768,-0.2822577406515545,-0.2679522276976729,-0.2560562324966822,-0.24597536725838748,-0.23731366160016115,-0.22977161058970755,-0.22314228125411006,-0.21726127716153987,-0.21198545165102536,-0.20724068259152653,-0.2029153747858336,-0.19897341827636492},
+{-0.6162225472762389,-0.7962071830162007,-0.6520939602199292,-0.5209008321017854,-0.43796817243590686,-0.3831448490499967,-0.34029305416010386,-0.32104601591187293,-0.29967090984464934,-0.2821737766541529,-0.2678744635696888,-0.2559836694966802,-0.24590717543281287,-0.2372491769580732,-0.2297103087216928,-0.22308373901855805,-0.21720515099805734,-0.2119314643423175,-0.20718859674359866,-0.2028649994145833,-0.19892458517193337},
+{-0.6183705412208917,-0.7965957379618206,-0.6519850711172372,-0.5207467477050041,-0.43782696987621955,-0.38302114074273963,-0.3401885114123114,-0.32095177433973643,-0.2995798466673117,-0.2820898794421022,-0.2677967632077355,-0.255911166912668,-0.24583904080090635,-0.23718474662500794,-0.22964905861115492,-0.22302524628532816,-0.21714907233626007,-0.21187752274788196,-0.2071365550101921,-0.20281466671165432,-0.19887579342478479},
+{-0.6205133566691268,-0.796982106090604,-0.6518756529194037,-0.5205925817501568,-0.4376857990003789,-0.38289749475030616,-0.34008404461497965,-0.3208575478184299,-0.299488849274377,-0.2820060489852721,-0.2677191265691382,-0.25583872469644264,-0.24577096331326748,-0.23712037055181204,-0.2295878602097074,-0.22296680300702199,-0.21709304112988811,-0.21182362682256808,-0.2070845573472526,-0.20276437663414332,-0.19882704299306425},
+{-0.6226510018987562,-0.7973662932917831,-0.651765708584036,-0.5204383352698505,-0.437544660201973,-0.38277391122794646,-0.33997965394446134,-0.3207633368348018,-0.29939791768966206,-0.28192228525319507,-0.267641553611041,-0.25576634279972127,-0.24570294292046946,-0.23705604868928198,-0.2295267134689114,-0.22290840913624915,-0.21703705733263093,-0.2117697765212193,-0.20703260371075108,-0.20271412913915166,-0.19877833383489021},
+{-0.624783485185303,-0.7977483054478708,-0.6516552410554123,-0.5202840092908161,-0.43740355387180285,-0.382650390329456,-0.33987533964716005,-0.3206691418714835,-0.2993070519361657,-0.2818385882150869,-0.2675640442904263,-0.2556940211741068,-0.24563497957295785,-0.2369917809881758,-0.2294656183403169,-0.2228500646255776,-0.2169811208981862,-0.21171597179867865,-0.20698069405660274,-0.20266392418378265,-0.19872966590838473},
+{-0.6269108148019534,-0.7981281484346365,-0.6515442532645617,-0.5201296048340409,-0.437262480398014,-0.382526932207229,-0.33977110205257344,-0.32057496340694336,-0.29921625203609914,-0.2817549578398573,-0.26748659856409057,-0.2556217597711027,-0.24556707322114818,-0.23692756739919915,-0.22940457477543635,-0.2227917694275621,-0.21692523178024226,-0.21166221260978585,-0.2069288283407682,-0.202613761725114,-0.19868103917166982},
+{-0.6290329990194674,-0.7985058281210403,-0.6514327481292881,-0.5199751229148114,-0.4371214401660826,-0.3824035370122621,-0.33966694158711813,-0.3204808019154872,-0.29912551801086223,-0.28167139409608877,-0.26740921638867077,-0.25554955854211014,-0.24549922381539013,-0.2368634078730194,-0.2293435827257393,-0.22273352349472905,-0.2168693899324506,-0.21160849890933542,-0.2068770065191876,-0.20256364172021263,-0.19863245358285692},
+{-0.631150046106131,-0.7988813503692247,-0.6513207285542569,-0.519820564542633,-0.4369804335587779,-0.38228020489413617,-0.33956285878856196,-0.32038665786728826,-0.29903484988107304,-0.2815878969520468,-0.2673318977206254,-0.2554774174384378,-0.2454314313059518,-0.23679930236024682,-0.2292826421426682,-0.2226753267795847,-0.21681359530846203,-0.21155483065216757,-0.20682522854777435,-0.2025135641261554,-0.19858390910006712},
+{-0.6332619643276741,-0.7992547210344368,-0.6512081974310325,-0.5196659307214145,-0.4368394609562826,-0.3821569360010513,-0.33945885432089906,-0.3202925317284159,-0.29894424766657735,-0.2815044663756806,-0.26725464251626085,-0.25540533641127944,-0.2453636956430596,-0.23673525081146524,-0.22922175297763842,-0.22261717923461694,-0.2167578478619084,-0.21150120779305426,-0.2067734943824545,-0.20246352889998928,-0.19853540568140013},
+{-0.635368761947209,-0.7996259459650138,-0.6510951576381365,-0.5195112224493397,-0.4366985227360617,-0.38203373047982425,-0.33935492898936004,-0.3201984239608531,-0.2988537113864366,-0.28142110233460615,-0.26717745073170523,-0.25533331541175414,-0.2452960167768416,-0.23667125317720356,-0.22916091518204718,-0.22255908081228137,-0.216702147546412,-0.21144763028681715,-0.2067218039791627,-0.20241353599877046,-0.19848694328496666},
+{-0.6374704472251621,-0.7999950310023253,-0.6509816120411245,-0.5193564407190131,-0.4365576192730254,-0.38191058847589476,-0.33925108375544044,-0.3201043350225062,-0.2987632410589408,-0.2813378047961294,-0.2671003223229128,-0.25526135439085046,-0.2452283946573829,-0.2366073094079458,-0.22910012870723656,-0.22250103146502237,-0.2166464943155993,-0.21139409808823423,-0.20667015729380012,-0.20236358537952742,-0.19843852186887984},
+{-0.6395670284192077,-0.8003619819807408,-0.650867563492604,-0.5192015865174682,-0.4364167509394795,-0.3817875101333681,-0.3391473197515951,-0.3200102653672647,-0.298672836701653,-0.2812545737272367,-0.26702325724571097,-0.25518945329949955,-0.2451608292347231,-0.23654341945414203,-0.22903939350454133,-0.2224430311452728,-0.2165908881230485,-0.21134061115207833,-0.2066185542823056,-0.20231367699929625,-0.1983901413912172},
+{-0.6416585137842058,-0.8007268047275939,-0.6507530148323293,-0.5190466608261098,-0.4362759181050837,-0.3816644955949279,-0.33904363829544115,-0.3199162154449842,-0.29858249833134703,-0.2811714090945691,-0.26694625545572476,-0.25511761208851513,-0.24509332045880983,-0.2364795832662031,-0.2289787095252624,-0.22238507980542524,-0.21653532892236507,-0.21128716943313694,-0.20656699490056674,-0.20226381081508718,-0.19834180181008898},
+{-0.6437449115721312,-0.8010895050631232,-0.6506379688872316,-0.518891664620891,-0.4361351211370079,-0.38154154500198767,-0.3389400409032536,-0.31982218570153986,-0.29849222596407876,-0.2810883108644576,-0.26686931690844506,-0.2550458307086152,-0.24502586827955714,-0.23641580079448116,-0.22891807672065825,-0.22232717739786428,-0.21647981666711932,-0.2112337728861619,-0.20651547910451207,-0.20221398678391853,-0.1982935030835868},
+{-0.6458262300320069,-0.8014500888004528,-0.6505224284714775,-0.5187365988722136,-0.4359943603997736,-0.38141865849456885,-0.3388365293025287,-0.31972817657882546,-0.2984020196151788,-0.2810052790029216,-0.26679244155920584,-0.2549741091104614,-0.24495847264678575,-0.23635207198931246,-0.22885749504198946,-0.22226932387496892,-0.21642435131087173,-0.21118042146592828,-0.2064640068500437,-0.20216420486279668,-0.19824524516980366},
+{-0.6479024774098496,-0.8018085617455355,-0.6504063963865351,-0.5185814645449902,-0.43585363625540874,-0.3812958362113701,-0.3387331054434457,-0.3196341885147928,-0.298311879299215,-0.280922313475621,-0.26671562936316096,-0.25490244724456956,-0.24489113351029396,-0.2362883968009678,-0.22879696444047343,-0.2222115191890718,-0.21636893280720146,-0.21112711512719012,-0.206412578093067,-0.20211446500870237,-0.19819702802680692},
+{-0.6499736619486001,-0.8021649296971325,-0.6502898754212254,-0.518426262598763,-0.4357129490634276,-0.3811730782897937,-0.33862977150909046,-0.31954022194348136,-0.2982218050300508,-0.28083941424791314,-0.2666388802753424,-0.25483084506139697,-0.24482385081980576,-0.23622477517971485,-0.22873648486728995,-0.22215376329252456,-0.21631356110962627,-0.2110738538246921,-0.20636119278949142,-0.2020647671786416,-0.19814885161269855},
+{-0.6520397918880527,-0.8025191984467575,-0.6501728683517607,-0.5182709939875638,-0.43557229918076323,-0.3810503848658972,-0.3385265299242977,-0.3194462772950207,-0.2981317968208429,-0.2807565812848283,-0.2665621942506089,-0.2547593025113215,-0.24475662452499009,-0.2361612070757467,-0.22867605627362225,-0.2220960561376181,-0.2162582361717078,-0.2110206375131902,-0.2063098508952239,-0.20201511132958627,-0.198100715885554},
+{-0.6541008754648093,-0.8028713737786496,-0.6500553779418257,-0.5181156596601105,-0.4354316869619364,-0.3809277560744462,-0.3384233833629691,-0.3193523549956619,-0.29804185468401245,-0.28067381455107027,-0.266485571243658,-0.25468781954461445,-0.24468945457545443,-0.23609769243924356,-0.22861567861060367,-0.2220383976766629,-0.2162029579469654,-0.21096746614741307,-0.20625855236616655,-0.2019654974185026,-0.1980526208034441},
+{-0.6561569209121934,-0.8032214614697184,-0.6499374069426045,-0.5179602605597241,-0.435291112758885,-0.38080519204891217,-0.33832033475382994,-0.31925845546782994,-0.2979519786313283,-0.2805911140110036,-0.26640901120907023,-0.254616396111482,-0.24462234092076762,-0.23603423122033038,-0.22855535182937398,-0.2219807878619446,-0.21614772638892357,-0.21091433968211754,-0.2062072971582305,-0.2019159254023865,-0.1980045663244494},
+{-0.6582079364602146,-0.8035694672895256,-0.6498189580928511,-0.5178047976243819,-0.43515057692113046,-0.3806826929214458,-0.3382173872845462,-0.31916457913006857,-0.2978621686738106,-0.280508479628692,-0.26633251410124104,-0.2545450321620152,-0.24455528351043287,-0.23597082336911293,-0.2284950758810065,-0.22192322664573663,-0.21609254145110338,-0.21086125807201964,-0.2061560852273224,-0.20186639523816977,-0.19795655240662552},
+{-0.6602539303354824,-0.8039153970002307,-0.64970003411895,-0.5176492717868075,-0.4350100797957493,-0.38056025882296796,-0.3381145444041546,-0.31907072639717565,-0.297772424821829,-0.2804259113678543,-0.26625607987444605,-0.2544737276462473,-0.24448828229389585,-0.23590746883565605,-0.22843485071658548,-0.22186571398028976,-0.2160374030870059,-0.2108082212718697,-0.2061049165293513,-0.2018169068828383,-0.19790857900806308},
+{-0.6622949107611608,-0.8042592563565714,-0.6495806377349451,-0.5174936839743828,-0.4348696217273185,-0.38043788988307287,-0.33801180982383927,-0.3189768976801389,-0.2976827470850588,-0.2803434091918992,-0.2661797084828045,-0.2544024825141178,-0.24442133722055753,-0.2358441675699827,-0.22837467628717098,-0.22180824981784025,-0.21598231125013626,-0.21075522923638929,-0.20605379102021834,-0.20176746029332457,-0.19786064608682802},
+{-0.6643308859569059,-0.8046010511058013,-0.6494607716426165,-0.5173380351093092,-0.43472920305805984,-0.38031558623012623,-0.3379091875159791,-0.31888309338618825,-0.2975931354724944,-0.2802609730639147,-0.26610339988028253,-0.25433129671549093,-0.24435444823977315,-0.23578091952209201,-0.2283145525437901,-0.22175083411062754,-0.2159272658939857,-0.21070228192029922,-0.2060027086558357,-0.20171805542660226,-0.1978127536009616},
+{-0.6663618641387952,-0.8049407869876761,-0.6493404385315138,-0.5171823261085058,-0.4345888241276882,-0.38019334799120874,-0.33780668171155476,-0.31878931391882726,-0.29750358999247745,-0.28017860294666724,-0.26602715402072236,-0.2542601702001399,-0.24428761530083187,-0.235717724641944,-0.22825447943745777,-0.22169346681086252,-0.21587226697203268,-0.21064937927833857,-0.20595166939212883,-0.20166869223960598,-0.19776490150855044},
+{-0.6683878535192758,-0.8052784697343982,-0.6492196410790223,-0.5170265578837194,-0.43444848527357666,-0.3800711752921504,-0.3377042968959492,-0.31869555967783464,-0.2974141106526663,-0.2800962988026038,-0.2659509708577905,-0.2541891029177669,-0.24422083835298836,-0.23565458287946775,-0.2281944569191588,-0.2216361478707477,-0.2158173144377881,-0.21059652126521852,-0.20590067318500208,-0.2016193706892877,-0.19771708976766372},
+{-0.6704088623071112,-0.8056141050706013,-0.6490983819504239,-0.5168707313415708,-0.43430818683072897,-0.37994906825758107,-0.3376020378032358,-0.3186018310593281,-0.29732469746009815,-0.28001406059387907,-0.2658748503450779,-0.2541180948179985,-0.24415411734544112,-0.23559149418456535,-0.22813448493988137,-0.22157887724250158,-0.21576240824472603,-0.2105437078356954,-0.20584971999039753,-0.2015700907326277,-0.19766931833637658},
+{-0.6724248987073062,-0.8059476987132876,-0.6489766637989112,-0.5167148473834524,-0.4341679291316871,-0.37982702701082444,-0.33749990940887986,-0.3185081284557299,-0.29723535042112315,-0.27993188828229487,-0.2657987924359567,-0.2540471458503802,-0.24408745222732986,-0.23552845850708878,-0.2280745634505722,-0.2215216548782722,-0.2157075483462968,-0.2104909389444568,-0.20579880976420556,-0.20152085232652572,-0.19762158717273437},
+{-0.6744359709210559,-0.8062792563718116,-0.6488544892656969,-0.5165589069057306,-0.4340277125067394,-0.37970505167403196,-0.337397916921218,-0.31841445225584175,-0.2971460695414621,-0.2798497818293882,-0.2657227970837151,-0.2539762559643627,-0.24402084294778123,-0.23546547579687852,-0.22801469240213793,-0.2214644807302554,-0.2156527346959936,-0.2104382145462274,-0.2057479424623626,-0.20147165542795914,-0.19757389623483002},
+{-0.6764420871457004,-0.8066087837478382,-0.6487318609800088,-0.5164029107996415,-0.4338875372837287,-0.37958314236810864,-0.337296065771457,-0.3183208028448523,-0.29705685482621613,-0.27976774119636416,-0.2656468642414938,-0.25390542510935793,-0.2439542894558376,-0.23540254600374644,-0.22795487174553877,-0.22140735475060305,-0.2155979672472651,-0.21038553459575451,-0.20569711804080373,-0.20142249999387823,-0.19752624548073708},
+{-0.6784432555746431,-0.8069362865353047,-0.6486087815591788,-0.5162468599513461,-0.4337474037882186,-0.37946129921274807,-0.33719436160259053,-0.3182271806043339,-0.2969677062798343,-0.2796857663441439,-0.26557099386228694,-0.25383465323467225,-0.24388779170051694,-0.23533966907746157,-0.22789510143165964,-0.22135027689148748,-0.21554324595360097,-0.2103328990477445,-0.20564633645545957,-0.2013733859812386,-0.19747863486855333},
+{-0.6804394843973097,-0.8072617704203808,-0.6484852536086847,-0.5160907552420381,-0.4336073123434594,-0.3793395223264623,-0.33709281025719806,-0.31813358591231816,-0.2968786239061427,-0.27960385723333825,-0.2654951858989768,-0.2537639402895632,-0.24382134963079244,-0.23527684496776918,-0.22783538141138682,-0.22129324710505086,-0.2154885707684405,-0.21028030785693794,-0.20559559766229227,-0.20132431334700251,-0.19743106435636634},
+{-0.6824307817990851,-0.8075852410814566,-0.6483612797221957,-0.5159345975478198,-0.43346726327033874,-0.3792178118265286,-0.33699141776425734,-0.31804001914325847,-0.29678960770836377,-0.27952201382427383,-0.2654194403042896,-0.2536932862231875,-0.24375496319558287,-0.23521407362439797,-0.2277757116355819,-0.2212362653434237,-0.21543394164526064,-0.21022776097805804,-0.20554490161721842,-0.201275282048137,-0.19738353390228408},
+{-0.6844171559612662,-0.8079067041890738,-0.6482368624816264,-0.5157783877398855,-0.4333272568875457,-0.37909616782905686,-0.336890190325123,-0.317946480668128,-0.29670065768909437,-0.2794402360769908,-0.26534375703083235,-0.25362269098465273,-0.24368863234378557,-0.23515135499702838,-0.2277160920550904,-0.22117933155875658,-0.21537935853750576,-0.2101752583658216,-0.20549424827618593,-0.20122629204161,-0.19733604346440048},
+{-0.6863986150609874,-0.808226165405913,-0.6481120044571906,-0.5156221266844325,-0.4331872935113672,-0.37897459044897447,-0.33678913429866614,-0.3178529708543584,-0.2966117738503404,-0.27935852395123406,-0.2652681360310982,-0.25355215452299207,-0.24362235702423604,-0.23508868903533314,-0.22765652262077854,-0.22112244570316286,-0.21532482139864123,-0.21012279997498998,-0.20544363759518403,-0.2011773432844175,-0.19728859300086204},
+{-0.6883751672711832,-0.8085436303867588,-0.6479867082074502,-0.5154658152427218,-0.43304737345590394,-0.3788530798000083,-0.33668825618591497,-0.31775949006591253,-0.2965229561934648,-0.2792768774064827,-0.26519257725741374,-0.2534816767871586,-0.2435561371857263,-0.23502607568895198,-0.22759700328345261,-0.22106560772877393,-0.21527033018213235,-0.21007038576028442,-0.20539306953015457,-0.20112843573353545,-0.19724118246979774},
+{-0.690346820760521,-0.8088591047784512,-0.6478609762793637,-0.5153094542711709,-0.43290749703300124,-0.3787316359947661,-0.33658756261404366,-0.31766603866331355,-0.2964342047192922,-0.2791952964019256,-0.26511708066201783,-0.25341125772605155,-0.2434899727770308,-0.23496351490749065,-0.2275375339939214,-0.2210088175877059,-0.21521588484141693,-0.21001801567643685,-0.20534254403707433,-0.2010795693459843,-0.19719381182933884},
+{-0.6923135836933586,-0.8091725942198751,-0.6477348112083396,-0.5151530446212241,-0.43276766455220395,-0.37861025914462604,-0.33648706032004916,-0.3175726170036501,-0.2963455194280214,-0.2791137808964905,-0.2650416461970111,-0.2533408972884937,-0.2434238637468691,-0.2349010066405592,-0.22747811470299048,-0.2209520752320631,-0.21516148532996385,-0.20996568967820942,-0.20529206107191553,-0.20103074407875213,-0.1971464810376617},
+{-0.6942754642296753,-0.809484104341903,-0.6476082155182818,-0.5149965871395814,-0.4326278763209189,-0.3784889493598862,-0.33638675613405383,-0.3174792254406011,-0.29625690031926794,-0.2790323308488388,-0.2649662738143525,-0.2532705954232349,-0.2433578100439262,-0.23483855083770258,-0.22741874536142026,-0.22089538061394884,-0.21510713160122102,-0.2099134077203327,-0.2052416205906598,-0.20098195988887343,-0.19709919005293805},
+{-0.6962324705250231,-0.8097936407673674,-0.6474811917216432,-0.5148400826680407,-0.43248813264423575,-0.37836770674963804,-0.3362866569624387,-0.3173858643244515,-0.29616834739209763,-0.27895094621737243,-0.26489096346590835,-0.25320035207898556,-0.24329181161683996,-0.23477614744847616,-0.22735942592002098,-0.22083873368547324,-0.21505282360863612,-0.20986116975756824,-0.20519122254931518,-0.2009332167333883,-0.19705193883335226},
+{-0.6981846107304863,-0.8101012091110436,-0.6473537423194751,-0.5146835320436057,-0.4323484338250948,-0.3782465314218536,-0.3361867697708566,-0.31729253400213614,-0.29607986064496683,-0.2788696269602345,-0.26481571510339313,-0.25313016720435516,-0.24322586841423002,-0.23471379642240064,-0.22730015632953057,-0.22078213439873873,-0.2149985613057026,-0.20980897574467555,-0.20514086690387132,-0.20088451456934442,-0.19700472733710198},
+{-0.7001318929926033,-0.8104068149795983,-0.6472258698014743,-0.5145269360985512,-0.4322087801642696,-0.37812542348338635,-0.33608710156723,-0.3171992348172557,-0.2959914400757736,-0.27878837303532444,-0.2647405286784348,-0.2530600407479114,-0.2431599803846712,-0.23465149770897897,-0.2272409365406957,-0.22072558270584472,-0.21494434464584028,-0.2097568256364115,-0.20509055361033707,-0.20083585335380247,-0.19695755552241287},
+{-0.7020743254533328,-0.81071046397156,-0.6470975766460465,-0.5143702956603313,-0.43206917196028183,-0.3780043830399439,-0.33598765938487224,-0.317105967110074,-0.29590308568187773,-0.27870718440028697,-0.2646654041425241,-0.25298997265815126,-0.24309414747669827,-0.23458925125768373,-0.22718176650426125,-0.22066907855886694,-0.2148901735825294,-0.20970471938755392,-0.20504028262474064,-0.20078723304385585,-0.19691042334752176},
+{-0.7040119162500009,-0.8110121616772937,-0.6469688653203114,-0.5142136115517457,-0.43192960950957915,-0.37788341019612454,-0.33588845026570646,-0.3170127312175831,-0.2958147974600447,-0.27862606101253934,-0.26459034144700905,-0.2529199628835158,-0.24302836963880775,-0.2345270570179822,-0.227122646170936,-0.22061262190990458,-0.21483604806921933,-0.20965265695285384,-0.20499005390308578,-0.20073865359658097,-0.19686333077066245},
+{-0.7059446735152352,-0.8113119136789665,-0.6468397382802209,-0.5140568845908449,-0.431790093106369,-0.37776250505542275,-0.3357894812437408,-0.31691952747350655,-0.2957265754065338,-0.2785450028292622,-0.264515340543184,-0.2528500113723924,-0.2429626468194938,-0.2344649149393039,-0.22706357549147516,-0.22055621271105114,-0.2147819680593874,-0.2096006382871294,-0.20493986740143905,-0.2006901149691229,-0.19681627775011346},
+{-0.7078726053769254,-0.811609725550507,-0.6467101979705359,-0.5139001155909935,-0.43165062304275426,-0.3776416677201958,-0.3356907593288259,-0.31682635620829,-0.2956384195170193,-0.2784640098074037,-0.2644404013821715,-0.2527801180730875,-0.2428969789671755,-0.23440282497108314,-0.22700455441654452,-0.22049985091440322,-0.21472793350650474,-0.20954866334513303,-0.2048897230758226,-0.20064161711858317,-0.19676926424414165},
+{-0.7097957199581741,-0.8119056028575824,-0.6465802468249325,-0.5137433053609591,-0.4315111996087371,-0.3775208982917462,-0.33559229149081005,-0.3167332177491901,-0.2955503297866432,-0.27838308190368666,-0.26436552391500945,-0.2527102829338601,-0.24283136603026506,-0.23434078706270303,-0.2269455828968741,-0.2204435364720367,-0.21467394436403445,-0.2094967320816852,-0.2048396208823112,-0.20059316000214492,-0.1967222902110524},
+{-0.7117140253772336,-0.8121995511575721,-0.6464498872660174,-0.5135864547048151,-0.43137182309214517,-0.3774001968702577,-0.3354940846441268,-0.3166401124202495,-0.2954623062100332,-0.2783022190746254,-0.2642907080926188,-0.252640505902917,-0.24276580795713518,-0.23427880116356328,-0.22688666088313178,-0.2203872693360367,-0.21462000058545183,-0.20944484445157993,-0.20478956077696547,-0.2005447435769477,-0.19667535560915778},
+{-0.7136275297474666,-0.8124915759995184,-0.6463191217053772,-0.5134295644220916,-0.43123249377877376,-0.37727956355483544,-0.3353961456327924,-0.3165470405423235,-0.2953743487812529,-0.2782214212765149,-0.264215953865796,-0.25257078692838747,-0.24270030469613538,-0.23421686722302612,-0.22682778832599787,-0.2203310494584931,-0.21456610212422456,-0.20939300040961792,-0.20473954271585068,-0.20049636780019597,-0.1966284603967647},
+{-0.7155362411772893,-0.8127816829241132,-0.6461879525436407,-0.513272635307686,-0.43109321195224104,-0.37715899844350265,-0.3352984812159817,-0.31645400243311383,-0.2952864574938725,-0.27814068846544704,-0.2641412611852629,-0.25250112595836854,-0.2426348561955684,-0.23415498519043765,-0.2267689651761651,-0.22027487679149782,-0.21451224893385004,-0.20934119991063016,-0.20468956665507393,-0.20044803262908517,-0.19658160453222048},
+{-0.717440167770126,-0.813069877463652,-0.6460563821705154,-0.5131156681519604,-0.4309539778941439,-0.3770385016332218,-0.3352010980540998,-0.31636099840719417,-0.29519863234091814,-0.2780600205973104,-0.26406663000158204,-0.2524315229408918,-0.2425694624037303,-0.23409315501514175,-0.2267101913842834,-0.2202187512871235,-0.21445844096782332,-0.20928944290943807,-0.20463963255072465,-0.20039973802086222,-0.1965347879738897},
+{-0.7193393176243631,-0.8133561651420205,-0.645924412964842,-0.5129586637407676,-0.4308147918840126,-0.3769180732198922,-0.3351040026955105,-0.31626802877602783,-0.2951108733149131,-0.2779794176277965,-0.2639920602652719,-0.2523619778239231,-0.24250412326886225,-0.2340313766464392,-0.22665146690100932,-0.22016267289746871,-0.21440467817959605,-0.2092377293608794,-0.20458974035891817,-0.2003514839327706,-0.1964880106801132},
+{-0.7212336988332857,-0.8136405514746478,-0.6457920472946358,-0.5128016228554011,-0.43067565419927156,-0.3767977132983328,-0.3350072015638621,-0.3161750938479701,-0.2950231804078661,-0.27789887951239994,-0.2639175519266963,-0.25229249055539926,-0.2424388387392112,-0.23396965003366296,-0.22659279167700733,-0.22010664157463383,-0.21435096052272118,-0.20918605921981195,-0.20453989003578937,-0.20030327032209985,-0.19644127260932415},
+{-0.7231233194850464,-0.8139230419684903,-0.6456592875171414,-0.5126445462727254,-0.43053656511538924,-0.37667742196234205,-0.33491070094603426,-0.3160821939283284,-0.2949355536112721,-0.2778184062064466,-0.2638431049361236,-0.25222306108318077,-0.2423736087629707,-0.23390797512608066,-0.22653416566291013,-0.22005065727069273,-0.21429728795066433,-0.20913443244107133,-0.20449008153746104,-0.2002550971461331,-0.19639457371988406},
+{-0.7250081876626089,-0.814203642121986,-0.6455261359788593,-0.5124874347650961,-0.4303975249056797,-0.3765571993046525,-0.3348145069807362,-0.31598932931935664,-0.29484799291613994,-0.27773799766505175,-0.26376871924374523,-0.25215368935508986,-0.24230843328831222,-0.2338463518729789,-0.2264755888093777,-0.21999471993775205,-0.21424366041694703,-0.2090828489795419,-0.20444031482009103,-0.20020696436219057,-0.19634791397022278},
+{-0.7268883114437023,-0.8144823574250446,-0.645392595015621,-0.512330289100453,-0.43025853384153534,-0.37643704541696077,-0.33471862564783306,-0.3158965003202832,-0.294760498312976,-0.27765765384318686,-0.2636943947996196,-0.25208437531888866,-0.24224331226338708,-0.23378478022362265,-0.2264170610670258,-0.21993882952789762,-0.21419007787509725,-0.20903130879008192,-0.20439058983984104,-0.20015887192761736,-0.1963012933187656},
+{-0.7287636989007651,-0.8147591933589905,-0.6452586669526104,-0.5121731100423308,-0.43011959219230445,-0.3763169603899402,-0.33462306275827064,-0.3158037072273495,-0.29467306979179436,-0.277577374695628,-0.263620131553732,-0.2520151189223031,-0.24217824563630766,-0.23372326012725264,-0.22635858238650608,-0.2198829859932392,-0.21413654027862078,-0.20897981182760247,-0.2043409065528837,-0.200110819799772,-0.19625471172397244},
+{-0.7306343581009149,-0.8150341553965753,-0.6451243541044354,-0.5120158983498312,-0.42998070022531865,-0.376196944313236,-0.33452782394482744,-0.31571095033378893,-0.29458570734211964,-0.277497160176996,-0.2635459294559494,-0.25194592011299055,-0.2421132333551851,-0.23366179153311312,-0.2263001527184242,-0.21982718928588346,-0.21408304758105626,-0.2089283580469842,-0.20429126491541083,-0.2000628079360462,-0.19620816914429082},
+{-0.7325002971058864,-0.8153072490018966,-0.6449896587751474,-0.5118586547777438,-0.42984185820598153,-0.37607699727547217,-0.3344329146534019,-0.31561822992991007,-0.29449841095299945,-0.2774170102417428,-0.2634717884560409,-0.2518767788385746,-0.24204827536808482,-0.2336003743904357,-0.2262417720134154,-0.21977143935792104,-0.21402959973593444,-0.20887694740312895,-0.20424166488362053,-0.20001483629382835,-0.19616166553820666},
+{-0.7343615239719972,-0.8155784796304176,-0.6448545832583025,-0.5117013800764606,-0.42970306639764144,-0.3759571193642672,-0.33433834013508595,-0.3155255463030678,-0.29441118061300586,-0.2773369248441698,-0.26339770850370775,-0.2518076950466253,-0.24198337162306513,-0.23353900864843036,-0.22618344022211262,-0.21971573616148268,-0.2139761966968164,-0.20882557985098094,-0.2041921064137363,-0.19996690483057608,-0.19611520086422413},
+{-0.7362180467500896,-0.8158478527289036,-0.6447191298370072,-0.5115440749920686,-0.42956432506173986,-0.3758373106662109,-0.33424410543891087,-0.31543289973771055,-0.2943240163102231,-0.2772569039384142,-0.2633236895485097,-0.25173866868467343,-0.24191852206814346,-0.23347769425630505,-0.22612515729512775,-0.2196600796486709,-0.2139228384172572,-0.20877425534546898,-0.20414258946199232,-0.1999190135037298,-0.19606877508085588},
+{-0.7380698734854911,-0.8161153737354162,-0.6445833007839447,-0.5113867402663819,-0.4294256344577593,-0.37571757126693245,-0.3341502154052316,-0.31534029051538853,-0.29423691803229113,-0.2771769474784785,-0.263249731539966,-0.25166969970018904,-0.2418537266513285,-0.23341643116325406,-0.22606692318308358,-0.21960446977161904,-0.2138695248508142,-0.20872297384152277,-0.2040931139846294,-0.1998711622707664,-0.1960223881466282},
+{-0.7399170122179785,-0.8163810480792716,-0.6444470983614645,-0.5112293766368683,-0.42928699484320676,-0.37559790125102444,-0.3340566746598606,-0.315247718914784,-0.29414988576636986,-0.27709705541819724,-0.2631758344274522,-0.25160078804060904,-0.24178898532060117,-0.23335521931846814,-0.22600873783659498,-0.21954890648245234,-0.21381625595105688,-0.2086717352941211,-0.20404367993790307,-0.19982335108918906,-0.1959760400201101},
+{-0.7417594709817182,-0.8166448811810342,-0.6443105248215781,-0.5110719848368157,-0.42914840647371916,-0.375478300702125,-0.3339634876088147,-0.31515518521173114,-0.2940629194991514,-0.277017227711293,-0.2631019981602827,-0.2515319336533176,-0.2417242980239237,-0.23329405867110478,-0.22595060120626617,-0.21949338973328988,-0.21376303167158212,-0.2086205396582137,-0.2039942872780882,-0.19977557991649586,-0.19592973065983826},
+{-0.7435972578052211,-0.8169068784524384,-0.644173582406023,-0.5109145655952321,-0.4290098696029488,-0.37535876970287874,-0.333870658433644,-0.3150626896792393,-0.2939760192169059,-0.2769374643113265,-0.2630282226876809,-0.25146313648567076,-0.24165966470923433,-0.2332329491703592,-0.22589251324274948,-0.21943791947628905,-0.21370985196596673,-0.208569386888813,-0.20394493596149021,-0.19972784871025284,-0.19588346002442866},
+{-0.7454303807113176,-0.8171670452964319,-0.6440362733463183,-0.510757119636901,-0.42887138448268003,-0.37523930833494,-0.33377819108753176,-0.31497023258750545,-0.29388918490541804,-0.27685776517174376,-0.26295450795877073,-0.2513943964849637,-0.24159508532446555,-0.23317189076538536,-0.22583447389663894,-0.21938249566359594,-0.21365671678785056,-0.20851827694089775,-0.20389562594441157,-0.19968015742799358,-0.1958372280724562},
+{-0.747258847717098,-0.8174253871070949,-0.6438985998637969,-0.5105996476824755,-0.42873295136279915,-0.3751199166790303,-0.3336860892918478,-0.31487781420395045,-0.29380241655003747,-0.2767781302458396,-0.26288085392259863,-0.25132571359845396,-0.24153055981749144,-0.23311088340532285,-0.22577648311855425,-0.21932711824736353,-0.2136036260908059,-0.20846720976947403,-0.20384635718316724,-0.19963250602732455,-0.1957910347625419},
+{-0.7490826668338657,-0.8176819092696284,-0.6437605641696553,-0.5104421504483654,-0.4285945704912768,-0.37500059481486625,-0.3335943565334716,-0.31478543479321974,-0.29371571413568015,-0.27669855948680133,-0.2628072605281183,-0.2512570877733661,-0.24146608813620601,-0.23304992703933394,-0.2257185408591303,-0.21927178717974172,-0.21355057982847997,-0.2084161853296055,-0.20379712963411029,-0.1995848944658363,-0.19574488005332688},
+{-0.7509018460671101,-0.8179366171603466,-0.6436221684649805,-0.5102846286469025,-0.428456242114272,-0.3748813428212421,-0.3335029960625439,-0.3146930946172218,-0.2936290776468122,-0.27661905284769395,-0.2627337277241842,-0.2511885189568791,-0.24140167022847933,-0.23298902161655205,-0.22566064706896694,-0.21921650241290974,-0.2134975779545114,-0.20836520357629562,-0.20374794325357232,-0.19953732270114877,-0.1956987639034276},
+{-0.7527163934164437,-0.8181895161466152,-0.6434834149408345,-0.510127082986252,-0.4283179664759995,-0.3747621607759882,-0.3334120108907983,-0.31460079393514884,-0.2935425070674773,-0.2765396102814514,-0.2626602554596077,-0.2511200070961387,-0.24133730604215292,-0.23292816708611855,-0.22560280169873373,-0.21916126389904822,-0.21344462042254106,-0.2083142644646257,-0.20369879799796933,-0.19948979069092537,-0.19565268627152183},
+{-0.7545263168755838,-0.8184406115868564,-0.6433443057782429,-0.509969514170468,-0.42817974381885676,-0.3746430487559732,-0.33332140379052083,-0.31450853300347215,-0.2934560023812866,-0.27646023174089485,-0.2625868436830782,-0.2510515521382452,-0.2412729955250473,-0.23286736339716682,-0.2255450046990233,-0.21910607159033946,-0.2133917071862542,-0.2082633679496559,-0.2036496938236579,-0.1994422983927957,-0.19560664711625958},
+{-0.7563316244322901,-0.8186899088305067,-0.6432048431482912,-0.5098119228995706,-0.42804157438342316,-0.3745240068371549,-0.33323117729386414,-0.3144163120760176,-0.29336956357141575,-0.2763809171787369,-0.2625134923432202,-0.2509831540302564,-0.24120873862497122,-0.2328066104988087,-0.225487256020492,-0.2190509254389805,-0.213338838199305,-0.20821251398648677,-0.2036006306870628,-0.1993948457644843,-0.1955606463963268},
+{-0.7581323240683271,-0.8189374132180012,-0.6430650292121289,-0.5096543098694606,-0.42790345840839916,-0.37440503509454515,-0.3331413336928468,-0.31432413140391696,-0.2932831906206316,-0.2763016665475739,-0.2624402013885749,-0.2509148127192118,-0.24114453528971522,-0.23274590834017136,-0.22542955561376377,-0.21899582539715978,-0.2132860134153815,-0.2081617025302078,-0.2035516085446083,-0.1993474327636572,-0.1955146840704205},
+{-0.7599284237594373,-0.819183130080735,-0.642924866121036,-0.5094966757720578,-0.4277653961307246,-0.37428613360222535,-0.3330518750396367,-0.3142319912356782,-0.29319688351127526,-0.27622247979989967,-0.26236697076759896,-0.2508465281520882,-0.2410803854670599,-0.23268525687036945,-0.22537190342948893,-0.2189407714171088,-0.21323323278818324,-0.2081109335359375,-0.2035026273527253,-0.19930005934804715,-0.19546876009721034},
+{-0.7617199314752806,-0.8194270647410506,-0.6427843560164626,-0.5093390212952188,-0.42762738778544207,-0.37416730243335783,-0.3329628031473788,-0.31413989181717994,-0.2931106422252767,-0.276143356888099,-0.26229380042869677,-0.25077830027585346,-0.2410162891047636,-0.23262465603852123,-0.22531429941831776,-0.21888576345103444,-0.21318049627143223,-0.20806020695882974,-0.20345368706790168,-0.19925272547541134,-0.1954228744354029},
+{-0.7635068551794023,-0.8196692225122086,-0.6426435010300476,-0.509181347122805,-0.42748943360586367,-0.3740485416601909,-0.33287411959139335,-0.3140478333917202,-0.293024466744159,-0.2760642977644617,-0.26222069032014494,-0.25071012903741996,-0.24095224615057137,-0.23256410579373246,-0.22525674353089792,-0.2188308014511814,-0.2131278038188513,-0.208009522754014,-0.20340478764660205,-0.19920543110349864,-0.19537702704372548},
+{-0.7652892028291933,-0.8199096086983526,-0.6425023032836983,-0.5090236539347448,-0.42735153382349567,-0.3739298513540632,-0.3327858257108255,-0.313955816200004,-0.29293835704903415,-0.275985302381176,-0.2621476403902039,-0.25064201438368444,-0.24088825655221072,-0.2325036060851224,-0.2251992357179125,-0.21877588536979906,-0.21307515538420327,-0.20795888087669637,-0.2033559290453554,-0.1991581761901114,-0.19533121788089094},
+{-0.7670669823758598,-0.8201482285945256,-0.6423607648896242,-0.5088659424069486,-0.4272136886680313,-0.3738112315854084,-0.332697922610639,-0.31386384048018234,-0.29285231312062504,-0.27590637069032853,-0.26207465058702434,-0.25057395626150125,-0.24082432025739442,-0.2324431568617962,-0.22514177593000034,-0.21872101515912407,-0.21302255092121336,-0.20790828128203262,-0.20330711122065237,-0.19911096069304152,-0.1952854469056239},
+{-0.7688402017643577,-0.8203850874865783,-0.6422188879503482,-0.5087082132114551,-0.4270758983674703,-0.3736926824237563,-0.33261041116397133,-0.31377190646786046,-0.2927663349392302,-0.27582750264390754,-0.26200172085867296,-0.2505059546176862,-0.2407604372138322,-0.23238275807284398,-0.2250843641178428,-0.21866619077141689,-0.21296999038365994,-0.20785772392523943,-0.2032583341290359,-0.19906378457010945,-0.19523971407663968},
+{-0.7706088689333793,-0.8206201906512065,-0.6420766745587838,-0.5085504670163405,-0.4269381631479449,-0.3735742039377549,-0.33252329201477354,-0.31368001439613413,-0.2926804224847788,-0.2757486981938194,-0.2619288511531863,-0.2504380093990335,-0.24069660736921478,-0.23232240966738377,-0.22502700023213393,-0.218611412158971,-0.2129174737253395,-0.20780720876153766,-0.20320959772708164,-0.19901664777917571,-0.19519401935270686},
+{-0.7723729918153004,-0.8208535433558901,-0.641934126798255,-0.5083927044857933,-0.4268004832339217,-0.37345579619514657,-0.3324365655808492,-0.31358816449559224,-0.29259457573680636,-0.2756699572918768,-0.26185604141848207,-0.250370120552308,-0.24063283067122002,-0.2322621115945253,-0.22496968422355365,-0.2185566792740572,-0.21286500090006194,-0.2077567357461652,-0.2031609019713742,-0.19896955027809765,-0.1951483626925507},
+{-0.7741325783361457,-0.8210851508588932,-0.6417912467425655,-0.5082349262801658,-0.42666285884810157,-0.37333745926281536,-0.3323502320570574,-0.3134963569943565,-0.29250879467444535,-0.27559127988981064,-0.26178329160245783,-0.2503022880242397,-0.24056910706750279,-0.23220186380336394,-0.2249124160428176,-0.21850199206899787,-0.21281257186163455,-0.2077063048343964,-0.20311224681850204,-0.1989224920247823,-0.19510274405494882},
+{-0.7758876364155485,-0.8213150184092247,-0.6416480364560049,-0.5080771330558933,-0.4265252902114324,-0.37321919320675906,-0.3322642914189479,-0.31340459211807387,-0.29242307927645284,-0.2755126659392377,-0.26171060165288595,-0.2502345117615245,-0.24050543650571735,-0.23214166624301694,-0.22485519564060405,-0.21844735049608255,-0.2127601865638813,-0.20765591598150251,-0.20306363222509535,-0.19887547297712682,-0.19505716339862345},
+{-0.7776381739667202,-0.8215431512466231,-0.6415044979934128,-0.50791932546565,-0.42638777754321433,-0.3731009980920907,-0.33217874342649,-0.31331287008994924,-0.29233742952121616,-0.2754341153917276,-0.26163797151750673,-0.2501667917108401,-0.2404418189335184,-0.23208151886256748,-0.2247980229676262,-0.21839275450763704,-0.21270784496067524,-0.20760556914276393,-0.2030150581477934,-0.19882849309305117,-0.19501162068204209},
+{-0.7793841988964012,-0.821769554601536,-0.6413606334002148,-0.5077615041582373,-0.4262503210609361,-0.3729828739830824,-0.3320935876280697,-0.31322119113078106,-0.2922518453867333,-0.2753556281987437,-0.26156540114400423,-0.25009912781882826,-0.24037825429852608,-0.2320214216111477,-0.22474089797464478,-0.2183382040560024,-0.2126555470058684,-0.20755526427352314,-0.2029665245432658,-0.198781552330539,-0.19496611586188822},
+{-0.7811257191048291,-0.8219942336950856,-0.6412164447124704,-0.5076036697786845,-0.4261129209804623,-0.3728648209431206,-0.3320088233647518,-0.31312955545895316,-0.2921663268506234,-0.2752772043116817,-0.26149289047995294,-0.2500315200321066,-0.2403147425483748,-0.2319613744378569,-0.22468382061236902,-0.21828369909353654,-0.21260329265336766,-0.2075050013291014,-0.20291803136818748,-0.19873465064755097,-0.194920648885763},
+{-0.7828627424857055,-0.8222171937390634,-0.6410719339568941,-0.5074458229682739,-0.42597557751594756,-0.3727468390347762,-0.33192444977461877,-0.31303796329046735,-0.2920808738901557,-0.27519884368184344,-0.2614204394729028,-0.24996396829726777,-0.2402512836306666,-0.23190137729179672,-0.22462679083155093,-0.21822923957258614,-0.21255108185705296,-0.20745478026485345,-0.2028695785792844,-0.19868778800209375,-0.19487521966979438},
+{-0.7845952769261529,-0.8224384399359005,-0.6409271031509138,-0.5072879643644705,-0.42583829087984215,-0.3726289283197206,-0.33184046579742643,-0.31294641483896124,-0.29199548648222456,-0.2751205462604621,-0.2613480480703313,-0.24989647256088024,-0.2401878774930165,-0.23184143012209596,-0.22456980858294437,-0.2181748254455526,-0.2124989145708474,-0.20740460103616834,-0.20282116613326368,-0.1986409643522004,-0.194829828045666},
+{-0.7863233303066832,-0.822657977478642,-0.6407819543027133,-0.507130094601072,-0.4257010612829854,-0.3725110888588214,-0.3317568701792753,-0.3128549103157278,-0.29191016460334435,-0.275042311998694,-0.26127571621961587,-0.24982903276946966,-0.24012452408300117,-0.23178153287785003,-0.22451287381729024,-0.21812045666479668,-0.21244679074870176,-0.20735446359842036,-0.20277279398686937,-0.19859417965588477,-0.19478447366122792},
+{-0.7880469105011516,-0.8228758115509265,-0.6406364894112562,-0.5069722143081266,-0.42556388893448077,-0.3723933207120944,-0.33167366147746863,-0.31276344992972704,-0.2918249082296993,-0.274964140847623,-0.261203443868136,-0.24976164886957622,-0.2400612233482452,-0.23172168550819208,-0.2244559864854009,-0.2180661331827474,-0.21239471034455004,-0.20730436790703408,-0.20272446209688944,-0.1985474338712413,-0.19473915582436913},
+{-0.7897660253767425,-0.823091947326975,-0.6404907104663412,-0.5068143241119765,-0.4254267740418278,-0.37227562393871777,-0.33159083806551326,-0.3126720338876193,-0.29173971733710746,-0.2748860327582562,-0.26113123096316515,-0.2496943208076732,-0.23999797523631197,-0.23166188796225123,-0.22439914653804677,-0.21801185495183145,-0.21234267331241427,-0.20725431391746044,-0.2026761704201137,-0.19850072695633852,-0.19469387328904908},
+{-0.7914806827939075,-0.8233063899715548,-0.6403446194486324,-0.5066564246353251,-0.42528971681088085,-0.3721579985970477,-0.331508398138133,-0.31258066239377247,-0.2916545919010127,-0.2748079876815316,-0.26105907745193346,-0.2496270485302389,-0.23993477969476715,-0.23160214018912462,-0.22434235392602866,-0.21795762192447077,-0.212290679606237,-0.2072043015851287,-0.2026279189133588,-0.19845405886930706,-0.19464862399449645},
+{-0.7931908906063496,-0.8235191446399781,-0.6401982183297072,-0.5064985164971713,-0.42515271744582833,-0.37204044474461967,-0.33142633971655255,-0.31248933565027137,-0.2915695318965401,-0.2747300055683032,-0.2609869832816034,-0.24955983198371323,-0.2398716366711884,-0.23154244213797542,-0.22428560860016117,-0.21790343405312548,-0.21223872918004666,-0.2071543308655433,-0.20257970753345117,-0.19840742956827634,-0.19460340477675547},
+{-0.7948966566609762,-0.8237302164780602,-0.6400515090720854,-0.5063406003129264,-0.4250157761493125,-0.3719229624381443,-0.33134466065364315,-0.3123980538569489,-0.29148453729843626,-0.27465208636937527,-0.26091494839927437,-0.24949267111451665,-0.23980854611314903,-0.23148279375791322,-0.22422891051124097,-0.21784929129025496,-0.21218682198789088,-0.20710440171418404,-0.20253153623723125,-0.19836083901139057,-0.19455821107712878},
+{-0.7965979887978758,-0.8239396106221174,-0.6399044936292919,-0.5061826766943511,-0.4248788931222663,-0.37180555173354046,-0.33126335863926615,-0.3123068172114306,-0.29139960808115006,-0.27457423003547876,-0.26084297275202606,-0.24942556586907894,-0.23974550796822489,-0.23142319499808173,-0.22417225961014892,-0.21779519358836216,-0.21213495798381157,-0.20705451408659753,-0.20248340498163436,-0.198314287156851,-0.19451303667322434},
+{-0.7982948948502735,-0.824147332198933,-0.6397571739458496,-0.5060247462495926,-0.42474206856406854,-0.3716882126858808,-0.3311824312055769,-0.31221562590907714,-0.29131474421874104,-0.2744964365172683,-0.2607710562868352,-0.2493585161937668,-0.23968252218395109,-0.2313636458076335,-0.22411565584770066,-0.21774114089993615,-0.21208313712187835,-0.20700466793829614,-0.2024353137235158,-0.19826777396283163,-0.1944678734546918},
+{-0.7999873826445049,-0.8243533863257482,-0.6396095519573779,-0.5058668095832649,-0.4246053026725094,-0.3715709453494796,-0.3311018757324376,-0.31212448014308297,-0.2912299456849699,-0.2744187057653369,-0.26069919895065696,-0.2492915220349491,-0.23961958870787808,-0.23130414613570457,-0.2240590991747855,-0.2176871331775059,-0.21203135935620446,-0.2069548632248751,-0.202387262419837,-0.1982212993875901,-0.19442271126173255},
+{-0.8016754599999756,-0.824557778110244,-0.639461629590593,-0.5057088672963657,-0.42446859564376543,-0.3714537497778376,-0.3310216894528528,-0.312033380104454,-0.29114521245324004,-0.2743410377302131,-0.26062740069037593,-0.24922458333897618,-0.23955670748758515,-0.23124469593146157,-0.22400258954225136,-0.2176331703735964,-0.21197962464087095,-0.2069050999019163,-0.20233925102753447,-0.1981748633893462,-0.19437753779700895},
+{-0.8033591347291356,-0.8247605126505075,-0.6393134087633465,-0.505550919986397,-0.4243319476724949,-0.3713366260236514,-0.3309418694583363,-0.3119423259820126,-0.29106054449663854,-0.2742634323623659,-0.2605556614528154,-0.24915770005216828,-0.23949387847059314,-0.23118529514405453,-0.22394612690099816,-0.21757925244076654,-0.21192793293002743,-0.20685537792501124,-0.20229127950357417,-0.19812846592639044,-0.19433233861605975},
+{-0.8050384146374372,-0.8249615950350314,-0.639164891384685,-0.5053929682472975,-0.42419535895168853,-0.37121957413885115,-0.3308624127043676,-0.31185131796245735,-0.29097594178791186,-0.2741858896121844,-0.2604839811847886,-0.24909087212084396,-0.23943110160446537,-0.23112594372265444,-0.22388971120194484,-0.21752537933159438,-0.21187628417783394,-0.20680569724982462,-0.2022433478049686,-0.1980821069570044,-0.19428709719511494},
+{-0.8067133075233072,-0.8251610303426751,-0.6390160793548649,-0.5052350126695053,-0.42405882967287256,-0.3711025941745694,-0.3307833160157756,-0.31176035623035603,-0.2908914042994929,-0.27410840943001535,-0.26041235983298705,-0.2490240994913003,-0.2393683768367471,-0.2310666416164341,-0.22383334239598904,-0.21747155099865595,-0.21182467833846447,-0.2067560578319944,-0.20219545588874294,-0.19803578643950348,-0.19424179507024064},
+{-0.8083838211781241,-0.8253588236426834,-0.6388669745654225,-0.5050770538400035,-0.4239223600259814,-0.37098568618117933,-0.33070457609212295,-0.3116694409681374,-0.2908069320034945,-0.2740309917661319,-0.2603407973441232,-0.24895738210981108,-0.23930570411496022,-0.23100738877457097,-0.22377702043408063,-0.21741776739456328,-0.21177311536610294,-0.20670645962720474,-0.20214760371192197,-0.19798950433223994,-0.19419641203895638},
+{-0.8100499633861564,-0.8255549799946067,-0.6387175788991659,-0.5049190923422477,-0.4237859501993944,-0.37086885020825966,-0.33062618951315553,-0.31157857235617525,-0.2907225248717264,-0.2739536365707623,-0.2602692936648322,-0.2488907199226579,-0.23924308338669958,-0.2309481851462843,-0.22372074526718336,-0.21736402847196923,-0.2117215952149918,-0.20665690259118819,-0.2020997912316319,-0.19794326059359846,-0.19415092641266996},
+{-0.8117117419245676,-0.8257495044483536,-0.6385678942302663,-0.5047611287562996,-0.4236496003800352,-0.3707520863046537,-0.3305481527440802,-0.31148775057272904,-0.2906381828756407,-0.27387634379405984,-0.2601978487416942,-0.24882411287608325,-0.23918051459947315,-0.23088903068075295,-0.22366451684624422,-0.2173103341834881,-0.21167011783937206,-0.20660738667965078,-0.20205201840491988,-0.19789705518194733,-0.19410531530718966},
+{-0.8133691645633637,-0.8259424020441215,-0.6384179224242488,-0.5046031636587407,-0.4235133107531864,-0.3706353945184142,-0.3304704621408475,-0.31139697579402226,-0.29055390598642594,-0.2737991133861117,-0.26012646252124394,-0.24875756091632958,-0.2391179977008623,-0.23082992532719268,-0.2236083351222508,-0.2172566844818241,-0.21161868319349714,-0.20655791184836125,-0.2020042851889307,-0.19785088805572343,-0.19405955495902077},
+{-0.8150222390653608,-0.8261336778124062,-0.6382676653380628,-0.504445197622749,-0.4233770815027106,-0.37051877489685425,-0.330393113955437,-0.3113062481942135,-0.2904696941749378,-0.2737219452969737,-0.2600551349499769,-0.24869106398961138,-0.23905553263838078,-0.23077086903482366,-0.22355220004620197,-0.2172030793196273,-0.21156729123166057,-0.20650847805309397,-0.20195659154082457,-0.1978047591733491,-0.19401362105496706},
+{-0.8166709731861601,-0.8263233367739657,-0.6381171248201005,-0.5042872312181277,-0.42324091281093146,-0.37040222748651924,-0.33031610434100905,-0.31121556794545285,-0.2903855474117288,-0.2736448394766115,-0.25998386597433776,-0.2486246220421618,-0.23899311935959658,-0.23071186175286373,-0.22349611156913599,-0.21714951864962517,-0.21151594190817646,-0.20645908524965023,-0.20190893741776023,-0.1977586684933264,-0.19396748906427225},
+{-0.8183153746741191,-0.826511383939835,-0.6379663027102505,-0.504129265011257,-0.42310480485866064,-0.37028575233323224,-0.3302394293571302,-0.3111249352178638,-0.29030146566704945,-0.2735677958749587,-0.259912655540724,-0.24855823502016097,-0.2389307578120597,-0.2306529034305686,-0.2234400696420457,-0.2170960024245348,-0.2114646351773677,-0.20640973339386803,-0.20186132277693614,-0.19771261597411605,-0.193921134563468},
+{-0.8199554512703162,-0.8266978243112644,-0.6378152008399095,-0.5039712995651985,-0.42296875782529203,-0.3701693494820521,-0.3301630849747473,-0.3110343501795851,-0.29021744891086043,-0.2734908144418863,-0.2598415035954932,-0.248491902869814,-0.23886844794332984,-0.23059399401717526,-0.22338407421599987,-0.21704253059710016,-0.2114133709935973,-0.20636042244159325,-0.2018137475755868,-0.19766660157425325,-0.19387453354623874},
+{-0.8215912107085261,-0.8268826628797497,-0.6376638210320499,-0.5038133354396274,-0.4228327718886338,-0.3700530189773114,-0.33008706708126667,-0.3109438129967743,-0.29013349711283193,-0.2734138951272097,-0.2597704100849707,-0.24842562553729802,-0.23880618970096346,-0.23053513346196788,-0.22332812524208515,-0.21698910312011127,-0.21136214931124736,-0.20631115234871983,-0.20176621177096293,-0.19762062525229673,-0.19382766271167817},
+{-0.8232226607151785,-0.8270659046269775,-0.6375121651012406,-0.5036553731909105,-0.4226968472251021,-0.3699367608625981,-0.3300113714853935,-0.3108533238336392,-0.29004961024231435,-0.273337037880682,-0.2596993749554163,-0.24835940296878684,-0.23874398303251793,-0.2304763217141991,-0.22327222267135693,-0.21693571994633293,-0.21131097008472544,-0.20626192307113733,-0.20171871532033686,-0.19757468696680358,-0.19378049972623046},
+{-0.8248498090093384,-0.8272475545248374,-0.6373602348536658,-0.503497413372118,-0.42256098400962455,-0.3698205751807959,-0.3299359939220331,-0.31076288285240994,-0.289965788268401,-0.2732602426520138,-0.25962839815306415,-0.2482932351104338,-0.2386818278855658,-0.23041755872317254,-0.2232163664549351,-0.21688238102859353,-0.21125983326845227,-0.20621273456478223,-0.20167125818103482,-0.1975287866763945,-0.19373302345619448},
+{-0.8264726633026787,-0.8274276175353943,-0.637208032087217,-0.503339456532979,-0.4224251824156616,-0.36970446197403717,-0.3298609300570814,-0.310672490213424,-0.28988203115988187,-0.2731835093908528,-0.25955747962411024,-0.24822712190840165,-0.23861972420767627,-0.23035884443818877,-0.223160556543947,-0.21682908631971942,-0.21120873881687457,-0.20616358678561714,-0.2016238403103619,-0.19748292433969533,-0.19368521416857926},
+{-0.8280912312994481,-0.8276060986108749,-0.6370555585914655,-0.5031815032200095,-0.4222894426152903,-0.36958842128374836,-0.3297861754920584,-0.3105821460750885,-0.28979833888526096,-0.27310683804678726,-0.2594866193146864,-0.24816106330883517,-0.23855767194642105,-0.23030017880854373,-0.22310479288950552,-0.21677583577256254,-0.21115768668449325,-0.20611447968960633,-0.2015764616656785,-0.19743709991535446,-0.19363705369947487},
+{-0.8297055206964272,-0.8277830026936472,-0.6369028161477313,-0.5030235539764225,-0.42215376477906064,-0.36947245315065175,-0.3297117257687135,-0.31049185059391177,-0.2897147114127858,-0.2730302285693832,-0.25941581717093065,-0.24809505925787917,-0.23849567104939834,-0.23024156178358426,-0.22304907544279357,-0.21672262934000713,-0.21110667682577317,-0.20606541323277527,-0.20152912220438352,-0.19739131336206878,-0.19358852559036333},
+{-0.8313155391829298,-0.8279583347162187,-0.6367498065291196,-0.5028656093421773,-0.42201814907615653,-0.3693565576147424,-0.32963757637349744,-0.3104016039245356,-0.28963114871040835,-0.2729536809081258,-0.2593450731388973,-0.2480291097016595,-0.23843372146418568,-0.23018299331267444,-0.22299340415498098,-0.21666946697496137,-0.21105570919528305,-0.20601638737116185,-0.20148182188388397,-0.19734556463852904,-0.19353961519270863},
+{-0.8329212944407589,-0.8281320996012138,-0.6365965315005482,-0.5027076698540613,-0.42188259567432196,-0.36924073471531527,-0.3295637227419812,-0.310311406219708,-0.289547650745794,-0.27287719501244956,-0.2592743871646318,-0.24796321458630455,-0.23837182313835034,-0.23012447334512612,-0.22293777897727135,-0.21661634863033735,-0.21100478374754722,-0.20596740206079334,-0.2014345606616021,-0.1972998537035091,-0.19349030974298187},
+{-0.834522794144162,-0.8283043022613604,-0.6364429928187912,-0.5025497360455955,-0.42174710473987137,-0.3691249844909699,-0.32949016026320144,-0.310221257630353,-0.28946421748638107,-0.2728007708317482,-0.2592037591941221,-0.2478973738579314,-0.2383099760195277,-0.23006600183036485,-0.2228821998608741,-0.21656327425908245,-0.2109539004371458,-0.20591845725779578,-0.20138733849501333,-0.19725418051574423,-0.19344059840945627},
+{-0.8361200459598397,-0.828474947599474,-0.6362891922325065,-0.5023918084471607,-0.42161167643778263,-0.36900930697960993,-0.32941688428384347,-0.31013115830554155,-0.2893808488992924,-0.2727244083153667,-0.2591331891733205,-0.24783158746267045,-0.23824818005531184,-0.23000757871773753,-0.22282666675700608,-0.2165102438141724,-0.2109030592186792,-0.20586955291826192,-0.20134015534159683,-0.19720854503404966,-0.19339047231338075},
+{-0.8377130575468803,-0.828644040508454,-0.6361351314822816,-0.5022338875859178,-0.4214763109315477,-0.3688937022184504,-0.3293438901123149,-0.3100411083925677,-0.28929754495142135,-0.2726481074125882,-0.2590626770481909,-0.24776585534662826,-0.2381864351933239,-0.22994920395666596,-0.22277117961696108,-0.21645725724860165,-0.21085226004679308,-0.20582068899833456,-0.20129301115891146,-0.1971629472172386,-0.19333992452697418},
+{-0.8393018365567676,-0.828811585871251,-0.6359808123006504,-0.5020759739858859,-0.42134100838332733,-0.36877817024400633,-0.32927117302280473,-0.30995110803683745,-0.28921430560939165,-0.272571868072655,-0.25899222276458955,-0.24770017745590847,-0.23812474138118034,-0.22989087749658982,-0.2227157383919905,-0.21640431451538533,-0.21080150287611765,-0.20577186545417547,-0.20124590590446056,-0.1971173870241455,-0.19328895005059726},
+{-0.8408863906333244,-0.8289775885608822,-0.6358262364121439,-0.5019180681679599,-0.4212057689538886,-0.36866271109211607,-0.32919872825912894,-0.30986115738205844,-0.28913113083956343,-0.2724956902447632,-0.258921826268394,-0.2476345537366158,-0.23806309856651273,-0.22983259928693306,-0.2226603430334097,-0.21635141556757453,-0.2107507876613703,-0.20572308224200103,-0.20119883953585016,-0.1970718644136793,-0.19323754577203178},
+{-0.8424667274127057,-0.8291420534403924,-0.6356714055333319,-0.5017601706498704,-0.4210705928026105,-0.3685473247979519,-0.3291265510386348,-0.30977125657010657,-0.28904802060804446,-0.2724195738780334,-0.25885148750542447,-0.2475689841348624,-0.23800150669695458,-0.22977436927715894,-0.22260499349251162,-0.2162985603582167,-0.21070011435721608,-0.2056743393180075,-0.20115181201067212,-0.19702637934470313,-0.19318571040997418},
+{-0.844042854523365,-0.8293049853628528,-0.63551632137284,-0.5016022819462893,-0.4209354800875711,-0.36843201139598925,-0.32905463655582257,-0.3096814057411153,-0.28896497488069284,-0.2723435189215695,-0.2587812064214594,-0.24750346859673758,-0.2379399657201489,-0.229716187416739,-0.2225496897206392,-0.2162457488404268,-0.21064948291840946,-0.20562563663844913,-0.20110482328656087,-0.1969809317761625,-0.19313344444457015},
+{-0.8456147795860233,-0.8294663891713465,-0.6353609856313911,-0.50144440256875,-0.42080043096539377,-0.36831677092005827,-0.3289829799859993,-0.30959160503348093,-0.2888819936231293,-0.272267525324425,-0.2587109829622908,-0.2474380070683351,-0.23787847558378322,-0.2296580536551679,-0.22249443166917393,-0.2161929809673071,-0.2105988932997126,-0.20557697415961984,-0.20105787332117359,-0.1969355216670119,-0.19308075003722058},
+{-0.8471825102136505,-0.8296262696989628,-0.6352054000018417,-0.5012865330257078,-0.42066544559143376,-0.36820160340330643,-0.32891157648871105,-0.3095018545838607,-0.28879907680068817,-0.2721915930355645,-0.2586408170736134,-0.24737259949576673,-0.23781703623548978,-0.2295999679419612,-0.22243921928946297,-0.21614025669200443,-0.21054834545591894,-0.2055283518378131,-0.2010109620721956,-0.19689014897623797,-0.19302763094156156},
+{-0.8487460540114458,-0.829784631768782,-0.6350495661692139,-0.5011286738226062,-0.42053052411967173,-0.3680865088782233,-0.3288404212111468,-0.30941215452718646,-0.2887162243785071,-0.272115722003945,-0.2585707087011262,-0.24730724582510671,-0.23775564762295026,-0.2295419302266295,-0.2223840525329231,-0.21608757596767453,-0.21049783934183347,-0.20547976962934805,-0.200964089497354,-0.19684481366281503,-0.19297409240803204},
+{-0.850305418576789,-0.8299414801938543,-0.6348934858107433,-0.5009708254617941,-0.42039566670275513,-0.36797148737665875,-0.32876950929155285,-0.30932250499674263,-0.28863343632149485,-0.2720399121784869,-0.258500657790541,-0.24724194600247837,-0.237694309693888,-0.2294839404587643,-0.222328931351007,-0.21603493874754598,-0.21044737491232046,-0.20543122749063275,-0.20091725555442225,-0.1967995156858373,-0.19292014108359823},
+{-0.85186061149924,-0.8300968197771998,-0.6347371605958869,-0.5008129884426218,-0.42026087349205765,-0.36785653892978615,-0.32869883586226106,-0.3092329061240512,-0.28855071259426446,-0.2719641635080185,-0.2584306642874622,-0.24717669997395716,-0.23763302239597572,-0.2294259985879108,-0.22227385569513453,-0.21598234498481916,-0.21039695212224835,-0.205382725378023,-0.20087046020114319,-0.19675425500433835,-0.19286578490814527},
+{-0.8534116403605063,-0.8302506553118019,-0.6345805921863772,-0.5006551632614044,-0.42012614463754555,-0.3677416635681483,-0.328628396052854,-0.3091433580390116,-0.2884680531612361,-0.2718884759413408,-0.2583607281375244,-0.24711150768564308,-0.23757178567694298,-0.22936810456367096,-0.22221882551679023,-0.2159297946327367,-0.21034657092650844,-0.20533426324795895,-0.20082370339535072,-0.19670903157740732,-0.19281103300942687},
+{-0.8549585127344101,-0.8304029915805793,-0.6344237822362493,-0.5004973504114614,-0.4199914802879578,-0.36762686132163497,-0.32855818499313805,-0.3090538608698537,-0.28838545798659637,-0.2718128494272192,-0.2582908492862874,-0.24704636908363325,-0.23751059948450348,-0.2293102583356364,-0.22216384076746026,-0.21587728764457537,-0.21029623128005365,-0.20528584105690106,-0.20077698509488412,-0.19666384536417436,-0.1927558955972895},
+{-0.856501236186872,-0.8305538333563867,-0.6342667323918723,-0.5003395503831553,-0.4198568805906721,-0.3675121322194887,-0.32848819781599187,-0.30896441474316594,-0.28830292703428306,-0.2717372839143578,-0.2582210276793422,-0.2469812841140223,-0.2374494637663866,-0.22925245985345238,-0.22210890139868944,-0.21582482397364716,-0.2102459331378304,-0.20523745876130434,-0.20073030525761493,-0.19661869632380363,-0.19270038385879312},
+{-0.858039818275887,-0.8307031854020139,-0.6341094442920012,-0.5001817636638406,-0.41972234569180006,-0.3673974762903461,-0.32841842966025936,-0.30887501978388404,-0.2882204602680394,-0.2716617793514046,-0.25815126326218785,-0.24691625272290274,-0.2373883784703424,-0.22919470906675804,-0.2220540073619714,-0.21577240357326255,-0.21019567645481602,-0.20518911631769032,-0.2006836638414235,-0.1965735844154376,-0.19264450985475},
+{-0.8595742665514988,-0.8308510524701535,-0.6339519195677721,-0.5000239907379719,-0.41958787573620315,-0.3672828935621683,-0.3283488756733306,-0.3087856761153484,-0.2881380576513628,-0.27158633568698565,-0.25808155598035015,-0.24685127485637776,-0.2373273435441518,-0.22913700592521952,-0.22199915860889702,-0.2157200263967679,-0.21014546118604782,-0.2051408136825853,-0.2006370608042642,-0.19652850959830764,-0.19258828641878706},
+{-0.8611045885557771,-0.8309974393034116,-0.6337941598427833,-0.49986623208701964,-0.4194534708673861,-0.3671683840623362,-0.32827953101379503,-0.30869638385931536,-0.28805571914754613,-0.2715109528696633,-0.2580119057793233,-0.24678635046055233,-0.23726635893557252,-0.22907935037854765,-0.2219443550910799,-0.21566769239757605,-0.21009528728655896,-0.2050925508125898,-0.20059049610408963,-0.19648347183165465,-0.1925317270593962},
+{-0.8626307918227851,-0.8311423506342879,-0.6336361667330773,-0.49970848818956054,-0.41931913122764986,-0.36705394781756995,-0.3282103908538857,-0.3086071431359092,-0.28797344471963837,-0.2714356308479594,-0.25794231260454,-0.2467214794815175,-0.2372054245924029,-0.22902174237645345,-0.22188959676010095,-0.2156154015290807,-0.21004515471145419,-0.20504432766428898,-0.20054396969889415,-0.19643847107475415,-0.19247484586555053},
+{-0.8641528838785745,-0.8312857911851658,-0.633477941847225,-0.49955075952127165,-0.41918485695798796,-0.3669395848539863,-0.3281414503818816,-0.3085179540637055,-0.28789123433049835,-0.2713603695703498,-0.25787277640145023,-0.24665666186538565,-0.23714454046243422,-0.22896418186864392,-0.22183488356761522,-0.21556315374472135,-0.20999506341581137,-0.20499614419429135,-0.20049748154671032,-0.19639350728690436,-0.19241765741647265},
+{-0.8656708722411514,-0.8314277656683122,-0.6333194867863184,-0.4993930465549081,-0.4190506481981367,-0.36682529519709417,-0.32807270480451356,-0.3084288167597131,-0.28780908794277094,-0.2712851689852605,-0.25780329711547245,-0.24659189755826716,-0.2370837064934912,-0.22890666880491423,-0.2217802154652938,-0.21551094899796697,-0.20994501335476884,-0.20494800035928107,-0.20045103160558803,-0.1963485804274127,-0.19236017669566746},
+{-0.8671847644204473,-0.8315682787858603,-0.6331608031440297,-0.49923534976039696,-0.41891650508665346,-0.36671107887176946,-0.3280041493490638,-0.3083397313393855,-0.28772700551887787,-0.2712100290410678,-0.257733874691977,-0.24652718650627947,-0.237022922633413,-0.2288492031350065,-0.22172559240480472,-0.21545878724230538,-0.20989500448351017,-0.20489989611593334,-0.2004046198336074,-0.19630369045566348,-0.1923024190093492},
+{-0.8686945679183071,-0.8317073352298077,-0.6330018925066276,-0.49907766960476657,-0.4187824277607528,-0.36659693590230713,-0.32793577926554507,-0.3082506979166395,-0.28764498702104685,-0.27113494968612006,-0.2576645090763703,-0.24646252865554158,-0.23696218883005216,-0.22879178480876156,-0.2216710143378967,-0.2154066684312601,-0.20984503675721028,-0.20485183142097763,-0.2003582461888933,-0.1962588373310522,-0.19224439991003245},
+{-0.870200290228474,-0.8318449396819942,-0.6328427564530064,-0.4989200065522046,-0.41864841635648165,-0.366482866312385,-0.32786758982871683,-0.3081617166038725,-0.2875630324112897,-0.2710599308686982,-0.2575952002139674,-0.2463979239521441,-0.23690150503124563,-0.2287344137759929,-0.22161648121628852,-0.21535459251840283,-0.2097951101311173,-0.20480380623116856,-0.2003119106296073,-0.1962140210129838,-0.19218613512445976},
+{-0.8717019388365399,-0.8319810968141189,-0.6326833965547395,-0.49876236106409305,-0.418514471008633,-0.36636887012506314,-0.32779957633999457,-0.30807278751198897,-0.28748114165140304,-0.27098497253705134,-0.2575259480501204,-0.24633337234224523,-0.23684087118488417,-0.22867708998652436,-0.22156199299176238,-0.21530255945729276,-0.20974522456047529,-0.2047558205032497,-0.20026561311391422,-0.19616924146093911,-0.1921276404867021},
+{-0.8731995212199559,-0.8321158112877168,-0.6325238143760998,-0.4986047335989833,-0.41838059185076854,-0.36625494736284847,-0.3277317341294598,-0.3079839107503632,-0.28739931470301555,-0.2709100746393769,-0.25745675253013234,-0.24626887377196433,-0.23678028723886196,-0.2286198133902541,-0.2215075496161082,-0.21525056920156022,-0.20969538000056231,-0.20470787419407555,-0.2002193536000384,-0.1961244986344104,-0.1920689318760196},
+{-0.8746930448479865,-0.8322490877541389,-0.6323640114740793,-0.498447124612625,-0.4182467790153044,-0.36614109804762474,-0.32766405855747327,-0.3078950864268929,-0.2873175515275219,-0.2708352371238336,-0.2573876135992828,-0.2462044281874194,-0.23671975314108196,-0.22856258393706214,-0.2214531510411405,-0.21519862170482218,-0.20964557640671505,-0.2046599672604501,-0.20017313204621612,-0.19607979249289625,-0.19201002515935062},
+{-0.876182517181707,-0.8323809308545811,-0.6322039893984466,-0.4982895345579933,-0.418113032633357,-0.36602732220069545,-0.3275965450164623,-0.3078063146480346,-0.2872358520861485,-0.2707604599385297,-0.25731853120287773,-0.24614003553477593,-0.23665926883950833,-0.2285054015768912,-0.22139879721874395,-0.2151467169207612,-0.20959581373426817,-0.20461209965928656,-0.20012694841074313,-0.19603512299597103,-0.1919509361386887},
+{-0.8776679456739621,-0.832511345220037,-0.6320437496917487,-0.4981319638852627,-0.417979352834896,-0.3659136198427836,-0.3275291889325037,-0.30771759551872435,-0.2871542163398996,-0.2706857430315226,-0.2572495052861498,-0.24607569576016097,-0.23659883428202105,-0.22844826625965925,-0.22134448810074708,-0.21509485480308177,-0.20954609193859713,-0.20456427134746286,-0.2000808026519052,-0.19599049010318403,-0.19189168050279415},
+{-0.8791493377693598,-0.832640335471313,-0.6318832938893753,-0.49797441304188894,-0.41784573974869055,-0.36579999099402694,-0.32746198576684604,-0.30762892914252615,-0.2870726442496074,-0.2706110863508473,-0.25718053579434813,-0.2460114088097417,-0.23653844941661772,-0.22839117793535652,-0.22129022363910483,-0.21504303530551228,-0.20949641097513066,-0.20451648228192065,-0.20003469472807067,-0.19594589377422128,-0.19183227378355527},
+{-0.880626700904257,-0.8327679062190383,-0.6317226235195632,-0.49781688247255285,-0.41771219350231703,-0.36568643567400194,-0.3273949310174358,-0.3075403156215059,-0.2869911357758955,-0.27053648984447043,-0.2571116226726978,-0.24594717462965987,-0.23647811419126574,-0.22833413655396106,-0.2212360037856987,-0.21499125838179056,-0.20944677079928076,-0.20446873241963298,-0.1999886245975928,-0.1959013339686616,-0.1917727313163784},
+{-0.8821000425067211,-0.8328940620636153,-0.6315617401034443,-0.49765937261924637,-0.4175787142222127,-0.3655729539016874,-0.32732802022025453,-0.3074517550563399,-0.28690969087921037,-0.2704619534603194,-0.2570427658663904,-0.24588299316608048,-0.23641782855395205,-0.22827714206549365,-0.22118182849252938,-0.21493952398573496,-0.20939717136652852,-0.2044210217175842,-0.19994259221889998,-0.19585681064624094,-0.1917130682049349},
+{-0.8835693699965143,-0.8330188075952496,-0.6314006451550584,-0.4975018839211983,-0.41744530203356406,-0.36545954569551087,-0.3272612489506411,-0.30736324754627414,-0.2868283095198155,-0.2703874771462804,-0.2569739653206537,-0.2458188643651984,-0.23635759245269317,-0.22822019442001296,-0.22112769771156598,-0.21488783207115658,-0.20934761263238555,-0.20437335013281693,-0.19989659755040345,-0.19581232376665458,-0.19165329928972968},
+{-0.885034690785085,-0.8331421473939236,-0.6312393401814116,-0.49734441681497354,-0.41731195706047497,-0.3653462110733362,-0.3271946128245149,-0.307274793189181,-0.28674699165774953,-0.2703130608501946,-0.2569052209806412,-0.24575478817316393,-0.23629740583550785,-0.228163293567562,-0.2210736113948248,-0.21483618259188692,-0.20929809455237397,-0.20432571762240798,-0.199850640550581,-0.19576787328965922,-0.19159343912050653},
+{-0.8864960122755382,-0.8332640860294183,-0.6310778266824848,-0.49718697173444837,-0.41717867942583764,-0.36523295005246376,-0.3271281074995574,-0.3071863920815313,-0.2866657372529246,-0.2702387045198932,-0.25683653279154695,-0.24569076453619543,-0.23623726865045291,-0.22810643945827203,-0.22101956949437063,-0.2147845755018421,-0.20924861708207865,-0.20427812414343766,-0.19980472117798087,-0.19572345917504835,-0.19153350193230528},
+{-0.887953341862616,-0.8333846280612776,-0.630916106151271,-0.4970295491107997,-0.41704546925139896,-0.3651197626496347,-0.3270617286763249,-0.30709804431841736,-0.28658454626502206,-0.2701644081030993,-0.25676790069848865,-0.24562679340046972,-0.2361771808455851,-0.228049632042243,-0.2209655719622582,-0.21473301075491846,-0.20919918017708689,-0.20423056965305103,-0.1997588393910955,-0.19567908138263085,-0.19147350162478805},
+{-0.8894066869326839,-0.8335037780388144,-0.6307541800738063,-0.49687214937258817,-0.4169123266578237,-0.36500664888101964,-0.32699547209930274,-0.3070097499935679,-0.2865034186535548,-0.27009017154753145,-0.25669932464663586,-0.2455628747121913,-0.23611714236897963,-0.22799287126961193,-0.2209116187506115,-0.21468148830505596,-0.2091497837930249,-0.20418305410839777,-0.19971299514851437,-0.1956347398722486,-0.19141345174493773},
+{-0.8908560548637106,-0.833621540501114,-0.6305920499292027,-0.496714772945704,-0.41677925176454167,-0.36489360876227594,-0.32692933355783454,-0.30692150919937694,-0.28642235437786173,-0.27001599480086286,-0.2566308045811109,-0.24549900841758832,-0.2360571531687775,-0.22793615709058695,-0.22085770981155106,-0.21463000810623928,-0.2091004278855626,-0.2041355774666837,-0.19966718840885217,-0.19559043460381115,-0.19135336547253234},
+{-0.89230145302524,-0.8337379199770231,-0.6304297171896798,-0.4965574202533992,-0.41664624468992356,-0.3647806423084884,-0.326863308887046,-0.3068333220268865,-0.2863413533971073,-0.26994187781072754,-0.25656234044703224,-0.24543519446288353,-0.23599721319304862,-0.2278794894553382,-0.22080384509724593,-0.21457857011248177,-0.20905111241039392,-0.20408813968515277,-0.1996214191307346,-0.19554616553721788,-0.19129325560849958},
+{-0.8937428887783836,-0.8338529209851377,-0.6302671833205827,-0.4964000917163497,-0.4165133055511811,-0.36466774953419806,-0.32679739396868235,-0.306745188565825,-0.28626041567026556,-0.2698678205247236,-0.25649393218952315,-0.24537143279432622,-0.23593732238997733,-0.2278228683141123,-0.22075002455991616,-0.21452717427782314,-0.20900183732326816,-0.20404074072105033,-0.19957568727286307,-0.1955019326324377,-0.19123313456560903},
+{-0.8951803694758005,-0.8339665480338221,-0.6301044497804287,-0.496242787752577,-0.41638043446440387,-0.36455493045342197,-0.3267315847319173,-0.30665710890457765,-0.28617954115613087,-0.26979382289035864,-0.25642557975366403,-0.24530772335813522,-0.23587748070770098,-0.22776629361714573,-0.2206962481517349,-0.21447582055632586,-0.20895260257991716,-0.2039933805316736,-0.1995299927939127,-0.19545773584942883,-0.19117301436152923},
+{-0.8966139024616744,-0.8340788056211756,-0.6299415180209295,-0.49608550877755764,-0.41624763154464733,-0.36444218507962445,-0.3266658771541095,-0.30656908313024095,-0.28609872981334517,-0.2697198848551714,-0.2563572830845577,-0.24524406610060118,-0.2358176880944104,-0.22770976531472759,-0.22064251582498884,-0.21442450890210912,-0.20890340813616093,-0.20394605907436536,-0.19948433565265594,-0.1954135751482351,-0.19111290661392466},
+{-0.8980434950717012,-0.8341896982350552,-0.6297783894870179,-0.49592825520417394,-0.41611489690573455,-0.3643295134257606,-0.32660026726141755,-0.3064811113286324,-0.286017981600369,-0.2696460063666154,-0.25628904212729436,-0.2451804609679744,-0.23575794449832577,-0.22765328335719226,-0.22058882753199122,-0.21437323926932544,-0.20885425394781648,-0.20389877630650705,-0.19943871580786487,-0.19536945048891957,-0.1910528225372906},
+{-0.8994691546330615,-0.8342992303530575,-0.6296150656168844,-0.49577102744272933,-0.415982230660507,-0.3642169155042301,-0.32653475112945374,-0.3063931935842684,-0.28593729647546295,-0.26957218737209643,-0.25622085682693824,-0.24511690790654356,-0.23569824986765842,-0.2275968476948516,-0.2205351832250172,-0.21432201161211767,-0.2088051399707601,-0.20385153218547541,-0.19939313321833518,-0.19532536183154187,-0.1909927729414474},
+{-0.9008908884644127,-0.8344074064425137,-0.6294515478419944,-0.49561382590103004,-0.41584963292061916,-0.36410439132692796,-0.3264693248838012,-0.30630532998039806,-0.2858566743967615,-0.269498427819022,-0.25615272712856435,-0.2450534068626128,-0.2356386041506609,-0.22754045827806468,-0.22048158285643593,-0.21427082588471796,-0.20875606616086417,-0.2038043266687108,-0.1993475878429481,-0.19528130913625602,-0.19093276823158484},
+{-0.9023087038758746,-0.8345142309605089,-0.6292878375871462,-0.49545665098427666,-0.41571710379670407,-0.36399194090521625,-0.3264039847006593,-0.3062175205990132,-0.2857761153221966,-0.269424727654719,-0.2560846529772414,-0.24498995778247856,-0.23557900729560893,-0.22748411505723914,-0.2204280263786197,-0.21421968204135333,-0.20870703247408506,-0.2037571597136903,-0.1993020796405669,-0.19523729236320153,-0.1908728184093994},
+{-0.9037226081690002,-0.8346197083538436,-0.6291239362704614,-0.4952995030952161,-0.4155846433983226,-0.36387956424993706,-0.326338726807165,-0.3061297655208537,-0.28569561920954556,-0.2693510868264773,-0.25601663431800636,-0.24492656061248314,-0.23551945925079093,-0.22742781798277217,-0.2203745137439903,-0.2141685800363129,-0.20865803886636464,-0.20371003127790943,-0.1992566085700901,-0.1951933114725663,-0.19081293307543012},
+{-0.905132608636761,-0.8347238430590651,-0.6289598453034477,-0.49514238263404403,-0.4154522518339099,-0.36376726137143905,-0.3262735474819439,-0.3060420648254316,-0.28561518601642466,-0.2692775052815884,-0.2559486710959378,-0.24486321529896532,-0.23545995996455027,-0.22737156700515315,-0.2203210449049826,-0.21411751982388416,-0.2086090852937022,-0.20366294131891477,-0.1992111745905082,-0.19514936642460473,-0.19075312143248024},
+{-0.9065387125635473,-0.8348266395024488,-0.6287955660910027,-0.4949852899984636,-0.41531992921087685,-0.36365503227953944,-0.3262084430553497,-0.3059544185910181,-0.28553481570028294,-0.26920398296727077,-0.2558807632560617,-0.24479992178825466,-0.23540050938520468,-0.22731536207483727,-0.22026761981408133,-0.21406650135843786,-0.20856017171213093,-0.2036158897942995,-0.19916577766080212,-0.19510545717957134,-0.19069339228965215},
+{-0.9079409272251269,-0.8349281021000001,-0.6286311000314578,-0.49482822558371536,-0.41518767563555203,-0.363542876983527,-0.3261434099098689,-0.30586682689469435,-0.2854545082183827,-0.2691305198306976,-0.25581291074344015,-0.24473668002674204,-0.2353411074611182,-0.22725920314232123,-0.22021423842380256,-0.21401552459432122,-0.20851129807773322,-0.2035688766616286,-0.1991204177399835,-0.19506158369777682,-0.1906337540673283},
+{-0.9093392598886385,-0.8350282352574443,-0.6284664485166102,-0.49467118978255414,-0.4150554912131975,-0.3634307954922362,-0.326078444480439,-0.3057792898122909,-0.28537426352785694,-0.26905711581902814,-0.2557451135030974,-0.24467348996080568,-0.23528175414070363,-0.22720309015815066,-0.2201609006866752,-0.2139645894859633,-0.20846246434658156,-0.20352190187858776,-0.19907509478710528,-0.19501774593952714,-0.19057421480280656},
+{-0.910733717812594,-0.835127043370249,-0.6283016129317287,-0.49451418298529115,-0.41492337604810936,-0.36331878781396965,-0.3260135432546579,-0.30569180741848245,-0.2852940815856647,-0.268983770879366,-0.255677371480063,-0.2446103515368429,-0.23522244937236297,-0.22714702307289397,-0.2201076065552664,-0.2139136959878093,-0.20841367047481119,-0.20347496540281823,-0.1990298087612774,-0.19497394386522204,-0.19051478215629875},
+{-0.9121243082468232,-0.8352245308235879,-0.6281365946556285,-0.4943572055797821,-0.41479133024343506,-0.3632068539565303,-0.32594870277297927,-0.3056043797867636,-0.28521396234860563,-0.2689104849588027,-0.25560968461939776,-0.24454726470127014,-0.23516319310457612,-0.22709100183713826,-0.2200543559822034,-0.2138628440543322,-0.20836491641860916,-0.2034280671920654,-0.1989845596216372,-0.19493017743528557,-0.19045546341763503},
+{-0.9135110384324998,-0.8353207019923703,-0.6279713950606316,-0.49420025795143363,-0.41465935390135217,-0.36309499392725053,-0.32588391962888275,-0.3055170069894033,-0.2851339057733214,-0.26883725800436087,-0.2555420528661099,-0.24448422940052705,-0.23510398528575877,-0.2270350264015094,-0.2200011489201098,-0.21381203364003903,-0.20831620213414165,-0.20338120720405678,-0.1989393473273412,-0.19488644661011012,-0.19039626551326944},
+{-0.9148939156020939,-0.8354155612412293,-0.6278060155126611,-0.49404334048329035,-0.41452744712297646,-0.36298320773291926,-0.3258191904689888,-0.3054296890975835,-0.28505391181629675,-0.26876408996306034,-0.25547447616524943,-0.2444212455810717,-0.2350448258644518,-0.2269790967166641,-0.21994798532168686,-0.21376126469949686,-0.20826752757767625,-0.20333438539659815,-0.19889417183759167,-0.19484275135023643,-0.19033719501373625},
+{-0.916272946979378,-0.8355091129245233,-0.6276404573712344,-0.49388645355592276,-0.41439561000841185,-0.36287149537991426,-0.32575451199320865,-0.30534242618127183,-0.28497398043386646,-0.26869098078184583,-0.2554069544618341,-0.24435831318935136,-0.23498571478916092,-0.2269232127332959,-0.21989486513961287,-0.21371053718726402,-0.20821889270545374,-0.2032876017274866,-0.19884903311162594,-0.19479909161614223,-0.19027825814128407},
+{-0.9176481397794031,-0.8356013613863231,-0.6274747219894936,-0.49372959754757617,-0.4142638426567878,-0.36275985687405515,-0.32568988095477086,-0.305255218309321,-0.28489411158219546,-0.2686179304076605,-0.2553394877008935,-0.24429543217187027,-0.23492665200843882,-0.22686737440208754,-0.2198417883266383,-0.21365985105798696,-0.20817029747380822,-0.20324085615459975,-0.1988039311087329,-0.19475546736842347,-0.19021946077797403},
+{-0.9190195012084761,-0.8356923109604322,-0.6273088107142417,-0.49357277283404966,-0.4141321451661341,-0.3626482922207146,-0.325625294160253,-0.30516806554942766,-0.28481430521733464,-0.2685449387874126,-0.25527207582746597,-0.24423260247512735,-0.2348676374708658,-0.2268115816738256,-0.21978875483554494,-0.21360920626629915,-0.20812174183905652,-0.20319414863581292,-0.19875886578820579,-0.19471187856764433,-0.1901608084738008},
+{-0.920387038464157,-0.835781965970368,-0.6271427248859637,-0.4934159797888151,-0.41400051763356704,-0.36253680142480127,-0.3255607484695333,-0.30508096796821454,-0.28473456129512315,-0.26847200586793857,-0.2552047187865796,-0.2441698240456463,-0.23480867112503712,-0.22675583449924314,-0.2197357646191409,-0.2135586027668711,-0.20807322575757653,-0.20314747912905606,-0.19871383710939888,-0.194668325174432,-0.19010230645518272},
+{-0.9217507587352501,-0.8358703307293939,-0.6269764658388699,-0.4932592187829923,-0.4138689601551271,-0.3624253844907054,-0.3254962407957995,-0.30499392563114247,-0.28465487977132076,-0.26839913159610795,-0.2551374165232688,-0.2441070968299699,-0.23474975291961342,-0.22670013282920864,-0.2196828176302701,-0.2135080405144701,-0.20802474918580122,-0.20310084759231678,-0.1986688450317302,-0.1946248071495122,-0.19004395963350218},
+{-0.9231106692017633,-0.8359574095404637,-0.6268100349008963,-0.49310249018532015,-0.41373747282589923,-0.36231404142238877,-0.3254317681055,-0.30490693860259965,-0.2845752606014962,-0.26832631591868183,-0.25507016898257373,-0.24404442077465655,-0.23469088280325234,-0.22664447661449916,-0.21962991382180663,-0.21345751946381875,-0.2079763120801501,-0.20305425398356147,-0.19862388951457532,-0.19458132445354132,-0.18998577261367144},
+{-0.9244667770349184,-0.8360432066962854,-0.6266434333937578,-0.49294579436224684,-0.41360605574002746,-0.3622027722233112,-0.32536732741822855,-0.3048200069458632,-0.28449570374108035,-0.2682535587824449,-0.25500297610952183,-0.24398179582629248,-0.23463206072461978,-0.2265888658060216,-0.21957705314667736,-0.21340703956971335,-0.20792791439712555,-0.20300769826084514,-0.1985789705174183,-0.19453787704727865,-0.18992774970314202},
+{-0.9258190893971365,-0.8361277264792786,-0.6264766626329601,-0.49278913167788085,-0.41347470899055483,-0.3620915768964937,-0.32530291580659554,-0.30473313072313335,-0.2844162091453641,-0.2681808601341245,-0.254935837849169,-0.24391922193148352,-0.23457328663248267,-0.226533300354676,-0.2195242355578062,-0.2133566007869902,-0.20787955609323905,-0.20296118038223848,-0.19853408799975542,-0.194494464891518,-0.1898698949205364},
+{-0.9271676134420038,-0.8362109731615948,-0.6263097239278289,-0.49263250249401846,-0.4133434326696736,-0.3619804554444787,-0.3252385303960762,-0.30464630999553965,-0.2843367767695037,-0.2681082199204171,-0.25486875414654525,-0.2438566990368436,-0.23451456047555402,-0.22647778021138742,-0.21947146100820153,-0.21330620307049653,-0.2078312371250427,-0.2029147003058761,-0.19848924192112716,-0.19445108794707433,-0.1898122120046376},
+{-0.9285123563142748,-0.8362929510051114,-0.62614261858155,-0.492475907170184,-0.41321222686851444,-0.36186940786933286,-0.32517416836483337,-0.3045595448231696,-0.28425740656850007,-0.26803563808800696,-0.25480172494671505,-0.24379422708903004,-0.23445588220263297,-0.22642230532712887,-0.21941872945087781,-0.21325584637516537,-0.20778295744913894,-0.20286825798986657,-0.1984444322411103,-0.1944077461748535,-0.18975470442326703},
+{-0.9298533251498592,-0.8363736642614428,-0.6259753478911811,-0.4923193460635891,-0.41308109167728196,-0.36175843417270903,-0.32510982694357904,-0.30447283526500624,-0.2841780984972105,-0.2679631145835197,-0.2547347501947243,-0.24373180603468736,-0.23439725176254422,-0.22636687565290103,-0.2193660408388694,-0.21320553065589304,-0.20773471702214247,-0.2028218533924122,-0.19839965891927158,-0.19436443953570454,-0.18969737538213566},
+{-0.931190527075802,-0.8364531171719267,-0.6258079131476824,-0.49216281952921404,-0.4129500271852602,-0.361647534355769,-0.32504550341531957,-0.30438618137901957,-0.28409885251038813,-0.2678906493535694,-0.2546678298356464,-0.24366943582051837,-0.23433866910410556,-0.22631149113974097,-0.21931339512527892,-0.21315525586766576,-0.20768651580074315,-0.20277548647174687,-0.19835492191533677,-0.194321167990598,-0.18964022783379486},
+{-0.9325239692102747,-0.8365313139676385,-0.625640315635943,-0.49200632791973475,-0.4128190334806917,-0.36153670841924646,-0.3249811951151268,-0.304299583222157,-0.2840196685626224,-0.2678182423447459,-0.2546009638145438,-0.2436071163932227,-0.2342801341762118,-0.22625615173872027,-0.21926079226324507,-0.21310502196551429,-0.2076383537416296,-0.20272915718613638,-0.1983102211889341,-0.1942779315005323,-0.18958326448634666},
+{-0.9338536586625545,-0.8366082588694015,-0.6254725566348276,-0.49184987158560256,-0.4126881106509638,-0.36142595636341845,-0.3249168994298286,-0.30421304085032547,-0.28394054660835427,-0.2677458935035846,-0.2545341520764927,-0.24354484769952794,-0.23422164692774566,-0.2262008574009321,-0.21920823220590396,-0.213054828904448,-0.2075902308015493,-0.2026828654938569,-0.19826555669982426,-0.19423473002649805,-0.1895264878122444},
+{-0.9351796025330246,-0.8366839560877626,-0.625304637417152,-0.491693450875048,-0.41255725878244454,-0.36131527818809994,-0.32485261379778874,-0.30412655431840896,-0.28386148660193483,-0.2676736027766319,-0.25446739456658657,-0.24348262968619244,-0.234163207307662,-0.22614560807749934,-0.21915571490646485,-0.21300467663958228,-0.20754214693726236,-0.20263661135327637,-0.19822092840774636,-0.19419156352958644,-0.1894699000569443},
+{-0.9365018079131495,-0.8367584098230254,-0.6251365592497793,-0.4915370661340404,-0.4124264779605982,-0.3612046738927061,-0.32478833570859195,-0.304040123680283,-0.28378248849754056,-0.26760137011037227,-0.25440069122988496,-0.24342046229998454,-0.23410481526490806,-0.2260904037196032,-0.21910324031815825,-0.21295456512600608,-0.2074941021056131,-0.20259039472272294,-0.1981763362725143,-0.19414843197085746,-0.18941350324749617},
+{-0.9378202818854691,-0.8368316242652228,-0.6249683233935848,-0.491380717706386,-0.41229576827000036,-0.36109414347617064,-0.3247240627027551,-0.3039537489888403,-0.2837035522492528,-0.2675291954512603,-0.25433404201152415,-0.24335834548770724,-0.23404647074848733,-0.2260352442784398,-0.21905080839425228,-0.21290449431889036,-0.20744609626343252,-0.2025442155606471,-0.19813178025397016,-0.19410533531147006,-0.18935729920094874},
+{-0.9391350315235858,-0.8369036035941464,-0.6247999311035217,-0.49122440593365035,-0.4121651297942275,-0.36098368693702537,-0.3246597923713551,-0.3038674302959784,-0.2836246778110136,-0.267457078745777,-0.2542674468566035,-0.2432962791961808,-0.23398817370745217,-0.22598012970526393,-0.21899841908805479,-0.2128544641734248,-0.2073981293676203,-0.20249807382547996,-0.1980872603119958,-0.19406227351261573,-0.18930128953272862},
+{-0.9404460638921507,-0.8369743519793402,-0.6246313836286149,-0.4910681311552009,-0.4120345626159995,-0.3608733042733593,-0.3245955223556557,-0.3037811676525993,-0.2835458651366262,-0.26738501994031294,-0.2542009057102411,-0.2432342633722503,-0.23392992409082236,-0.22592505995131873,-0.2189460723529073,-0.21280447464483215,-0.20735020137510873,-0.2024519694757152,-0.19804277640651197,-0.19401924653547536,-0.18924547566480554},
+{-0.9417533860468625,-0.8370438735800986,-0.6244626822120247,-0.4909118937082801,-0.4119040668170595,-0.36076299548280366,-0.324531250346765,-0.3036949611086629,-0.28346711417977594,-0.26731301898126975,-0.2541344185175792,-0.24317229796277456,-0.233871721847712,-0.2258700349679223,-0.21889376814218336,-0.21275452568839304,-0.20730231224285345,-0.20240590246988077,-0.19799832849745824,-0.1939762543413392,-0.18918985883371503},
+{-0.9430570050344272,-0.8371121725454798,-0.6242938280910514,-0.49075569392792195,-0.41177364247827664,-0.3606527605626111,-0.3244669740853087,-0.30360881071313356,-0.28338842489403354,-0.2672410758150038,-0.25406798522373664,-0.24311038291467324,-0.2338135669272604,-0.22581505470641183,-0.21884150640931477,-0.21270461725941092,-0.20725446192789843,-0.20235987276655332,-0.19795391654484829,-0.1939332968914677,-0.18913444009851632},
+{-0.9443569278925793,-0.8371792530142974,-0.6241248224971404,-0.4905995321470198,-0.411643289679663,-0.3605425995095661,-0.3244026913609565,-0.303522716514045,-0.2833097972328554,-0.2671691903878772,-0.2540016057738859,-0.24304851817485046,-0.23375545927859287,-0.2257601191181644,-0.21878928710774503,-0.2126547493132196,-0.2072066503872223,-0.20231388032432268,-0.19790954050870213,-0.19389037414718646,-0.18907922034845875},
+{-0.945653161650055,-0.8372451191151371,-0.6239556666559617,-0.4904434086963244,-0.4115130085002513,-0.36043251232007567,-0.3243384000120565,-0.30343667855849665,-0.2832312311495498,-0.2670973626462043,-0.2539352801132032,-0.24298670369025566,-0.23369739885093288,-0.22570522815459004,-0.21873711019097491,-0.21260492180520313,-0.2071588775779623,-0.20226792510183716,-0.19786520034909444,-0.19384748606989505,-0.18902420031053258},
+{-0.9469457133265775,-0.8373097749663543,-0.6237863617873748,-0.4902873239044311,-0.4113827990182289,-0.36032249899010416,-0.32427409792514933,-0.303350696892577,-0.2831527265973215,-0.2670255925362615,-0.2538690081868493,-0.2429249394078402,-0.2336393855934833,-0.22565038176714008,-0.21868497561252043,-0.21255513469076848,-0.20711114345719872,-0.20222200705776977,-0.19782089602614739,-0.1938046326209531,-0.18896938055687507},
+{-0.9482345899328593,-0.8373732246760826,-0.6236169091055129,-0.4901312780978619,-0.41125266131086746,-0.36021255951517617,-0.32420978303455084,-0.30326477156155474,-0.2830742835292705,-0.2669538800043506,-0.2538027899400254,-0.24286322527462006,-0.23358141945551458,-0.22559557990729473,-0.21863288332596786,-0.2125053879253927,-0.20706344798212323,-0.202176126150854,-0.19777662750000047,-0.1937618137618376,-0.18891476151199793},
+{-0.9495197984705727,-0.8374354723422297,-0.6234473098187432,-0.48997527160097193,-0.41112259545457525,-0.3601026938904608,-0.32414545332195,-0.3031789026096883,-0.2829959018983722,-0.26688222499669323,-0.2537366253179385,-0.2428015612376166,-0.23352350038630698,-0.22554082252655522,-0.21858083328491673,-0.21245568146454907,-0.20701579110989882,-0.2021302823398296,-0.1977323947308422,-0.19371902945399805,-0.1888603434596801},
+{-0.950801345932365,-0.8374965220524965,-0.6232775651297595,-0.4898193047360724,-0.41099260152492323,-0.35999290211065715,-0.32408110681589636,-0.30309309008037777,-0.2829175816574872,-0.2668106274595376,-0.25367051426581483,-0.242739947243863,-0.23346562833518497,-0.22548610957648457,-0.21852882544299634,-0.21240601526375763,-0.20696817279778706,-0.20208447558351506,-0.19768819767892193,-0.19367627965897433,-0.1888061265499697},
+{-0.9520792393018159,-0.8375563778843667,-0.6231076762355615,-0.4896633778233525,-0.4108626795965147,-0.3598831841701162,-0.32401674159134264,-0.3030073340160865,-0.2828393227593577,-0.26673908733908414,-0.2536044567288937,-0.24267838324044544,-0.23340780325152605,-0.22543144100869555,-0.21847685975391157,-0.21235638927862033,-0.206920593003047,-0.2020387058407354,-0.1976440363044643,-0.1936335643383149,-0.1887521108056412},
+{-0.9533534855534513,-0.8376150439051195,-0.6229376443274837,-0.4895074911808959,-0.4107328297431741,-0.3597735400627606,-0.32395235576908965,-0.30292163445841214,-0.28276112515661295,-0.2666676045815116,-0.2535384526524085,-0.24261686917444775,-0.2333500250846866,-0.2253768167747796,-0.2184249361713675,-0.21230680346468417,-0.20687305168297526,-0.20199297307036262,-0.1975999105678053,-0.19359088345357806,-0.1886982961287177},
+{-0.9546240916527333,-0.8376725241718481,-0.6227674705912698,-0.48935164512483215,-0.4106030520378367,-0.35966396978210063,-0.3238879475153888,-0.30283599144805234,-0.2826829888018339,-0.2665961791330418,-0.25347250198166843,-0.24255540499304756,-0.23329229378415473,-0.2253222368264573,-0.2183730546491689,-0.21225725777767218,-0.2068255487949815,-0.20194727723136274,-0.19755582042933223,-0.19354823696647983,-0.18864468230680526},
+{-0.9558910645560295,-0.8377288227314343,-0.622597156206999,-0.4891958399690842,-0.4104733465525302,-0.3595544733212458,-0.32382351504132734,-0.3027504050247895,-0.28260491364738555,-0.26652481093974967,-0.2534066046619114,-0.24249399064334204,-0.2332346092993357,-0.2252677011153626,-0.21832121514106068,-0.21220775217319765,-0.20677808429639283,-0.2019016182826267,-0.19751176584934732,-0.19350562483859568,-0.1885912690188853},
+{-0.957154411210626,-0.8377839436205754,-0.6224267023492082,-0.48904007602564625,-0.410343713358547,-0.3594450506729181,-0.3237590566024272,-0.30266487522759006,-0.2825268996456031,-0.2664534999477893,-0.2533407606384659,-0.24243262607253901,-0.2331769715797305,-0.22521320959326374,-0.21826941760090157,-0.21215828660699843,-0.20673065814465896,-0.20185599618318983,-0.19746774678830448,-0.1934630470316634,-0.18853805584144534},
+{-0.9584141385547048,-0.8378378908657984,-0.6222561101868814,-0.4888843536044244,-0.4102141525262072,-0.3593357018294667,-0.3236945704980366,-0.3025794020945265,-0.28244894674870374,-0.2663822461032843,-0.25327496985663567,-0.2423713112278454,-0.2331193805749074,-0.22515876221194436,-0.2182176619825748,-0.2121088610348345,-0.2066832702972372,-0.20181041089206403,-0.19742376320667981,-0.19342050350741352,-0.1884850422540214},
+{-0.959670253517338,-0.837890668483446,-0.6220853808834498,-0.48872867301330447,-0.4100846641250942,-0.3592264267828416,-0.323630055070797,-0.30249398566281693,-0.28237105490880565,-0.26631104935231337,-0.2532092322617549,-0.24231004605650608,-0.23306183623439197,-0.22510435892320502,-0.2181659482399982,-0.2120594754125052,-0.20663592071165665,-0.20176486236835373,-0.19737981506497915,-0.19337799422762741,-0.18843222764465273},
+{-0.9609227630184782,-0.837942280479687,-0.6219145155968536,-0.48857303455819895,-0.4099552482238734,-0.3591172255245707,-0.3235655087060973,-0.30240862596885054,-0.28229322407791496,-0.2662399096409788,-0.2531435477992034,-0.24224883050578788,-0.2330043385078206,-0.22504999967891132,-0.21811427632713204,-0.2120101296958427,-0.2065886093454573,-0.20171935057117535,-0.19733590232375747,-0.19333551915413072,-0.18837961131523134},
+{-0.9621716739689473,-0.8379927308505394,-0.6217435154795408,-0.48841743854295844,-0.40982590489041704,-0.35900809804585504,-0.3235009298315756,-0.3023233230481526,-0.2822154542079242,-0.26616882691529753,-0.2530779164143255,-0.2421876645229757,-0.23294688734481567,-0.2249956844309275,-0.21806264619794957,-0.21196082384071824,-0.20654133615620895,-0.20167387545966275,-0.1972920249435564,-0.19329307824874747,-0.18832719248651086},
+{-0.9634169932704291,-0.8380420235818486,-0.6215723816785019,-0.4882618852694993,-0.40969663419181435,-0.3588990443374583,-0.3234363169165525,-0.30223807693541793,-0.28213774525067536,-0.2660978011213467,-0.2530123380525272,-0.24212654805541417,-0.23288948269504306,-0.22494141313120092,-0.2180110578065103,-0.21191155780303084,-0.2064941011015744,-0.201628436993054,-0.19724818288503831,-0.19325067147336833,-0.18827497030314555},
+{-0.9646587278154741,-0.8380901626493337,-0.6214011153353045,-0.48810637503771825,-0.40956743619424146,-0.3587900643898234,-0.3233716684714526,-0.30215288766453235,-0.28206009715788194,-0.2660268322051449,-0.25294681265921853,-0.2420654810504439,-0.23283212450823842,-0.2248871857317138,-0.21795951110690187,-0.21186233153878492,-0.2064469041392103,-0.2015830351305633,-0.19720437610885683,-0.19320829878995077,-0.18822294383828825},
+{-0.9658968844874547,-0.8381371520185428,-0.6212297175860877,-0.48795090814553543,-0.40943831096315153,-0.35868115819298074,-0.3233069830472134,-0.3020677552685509,-0.28198250988113444,-0.2659559201127053,-0.25288134017981834,-0.24200446345545373,-0.23277481273411765,-0.22483300218444596,-0.2179080060532098,-0.21181314500392268,-0.20639974522681376,-0.20153766983149762,-0.1971606045757207,-0.193165960160408,-0.1881711120981745},
+{-0.9671314701605902,-0.8381829956449138,-0.6210581895616119,-0.48779548488896746,-0.4093092585630984,-0.35857232573656006,-0.3232422592347435,-0.3019826797797265,-0.28190498337199305,-0.26588506479003143,-0.25281592055978175,-0.24194349521782937,-0.2327175473224744,-0.22477886244144502,-0.21785654259959192,-0.2117639981545012,-0.20635262432213214,-0.20149234105515013,-0.19711686824635172,-0.19312365554677158,-0.18811947402657592},
+{-0.9683624916999309,-0.8382276974737441,-0.620886532387277,-0.48764010556200543,-0.4091802790578878,-0.35846356700988835,-0.32317749566440895,-0.3018976612294947,-0.2818275175818762,-0.2658142661830992,-0.25275055374457644,-0.24188257628504872,-0.2326603282231291,-0.22472476645479444,-0.21780512070025798,-0.21171489094657864,-0.20630554138298035,-0.20144704876089425,-0.19707316708157574,-0.19308138491105437,-0.18806802850889237},
+{-0.9695899559613486,-0.8382712614402071,-0.6207147471831373,-0.48748477045676575,-0.4090513725105396,-0.35835488200187127,-0.32311269100539874,-0.30181269964850865,-0.28175011246212767,-0.2657435242378624,-0.25268523967969464,-0.24182170660454683,-0.2326031553859116,-0.2246707141766176,-0.21775374030942524,-0.2116658233362797,-0.20625849636715482,-0.20140179290815663,-0.1970295010421768,-0.19303914821530405,-0.1880167743762174},
+{-0.9708138697915097,-0.8383136914693758,-0.6205428350639437,-0.48732947986339686,-0.40892253898321207,-0.35824627070107223,-0.32304784396520886,-0.30172779506663494,-0.2816727679640125,-0.2656728389003195,-0.2526199783106402,-0.24176088612384783,-0.23254602876074976,-0.2246167055590873,-0.21770240138137936,-0.2116167952797371,-0.20621148923254096,-0.2013565734563703,-0.19698587008903928,-0.1929969454216715,-0.1879657104092688},
+{-0.9720342400279018,-0.8383549914762067,-0.6203707971391368,-0.48717423407011273,-0.40879377853734344,-0.35813773309571584,-0.32298295328897064,-0.3016429475129374,-0.28159548403869056,-0.2656022101163842,-0.25255476958293227,-0.241700114790462,-0.23248894829752342,-0.2245627405543963,-0.21765110387042058,-0.21156780673318515,-0.20616451993706303,-0.20131139036501183,-0.19694227418307642,-0.19295477649228904,-0.18791483534197811},
+{-0.9732510734988045,-0.8383951653655685,-0.6201986345128966,-0.4870190333632731,-0.4086650912335027,-0.35802926917356936,-0.3229180177589674,-0.301558157015739,-0.28151826063723273,-0.26553163783200473,-0.252489613442147,-0.24163939255194383,-0.23243191394622154,-0.2245088191147796,-0.21759984773088975,-0.21151885765280848,-0.2061175884386648,-0.20126624359362566,-0.19689871328521885,-0.19291264138933084,-0.18786414786511685},
+{-0.9744643770232742,-0.8384342170322319,-0.620026348284162,-0.48686387802729164,-0.40853647713154506,-0.3579208789221776,-0.3228530361940667,-0.30147342360256907,-0.28144109771064363,-0.26546112199309624,-0.2524245098338274,-0.24157871935590813,-0.23237492565685464,-0.22445494119251785,-0.21754863291722049,-0.21146994799492502,-0.20607069469534123,-0.20122113310177975,-0.196855187356469,-0.19287054007503462,-0.18781364662966865},
+{-0.9756741574111586,-0.8384721503608914,-0.6198539395466378,-0.48670876834472604,-0.4084079362905567,-0.35781256232861475,-0.3227880074491166,-0.3013887473002057,-0.28136399520983196,-0.26539066254556554,-0.2523594587035766,-0.24151809514994116,-0.23231798337941673,-0.22440110673993097,-0.21749745938380205,-0.21142107771583385,-0.20602383866511653,-0.201176058849101,-0.19681169635783297,-0.1928284725116235,-0.18776333025005926},
+{-0.976880421463074,-0.8385089692261746,-0.6196814093888482,-0.48655370459622244,-0.4082794687687904,-0.3577043193796866,-0.3227229304144161,-0.30130412813469454,-0.28128695308564,-0.26532025943532833,-0.2522944599970287,-0.24145751988170494,-0.2322610870640161,-0.22434731570939187,-0.2174463270851391,-0.21137224677189315,-0.20597702030609338,-0.20113102079520412,-0.19676824025038753,-0.19278643866143835,-0.18771319730729857},
+{-0.9780831759704043,-0.8385446774926342,-0.619508758894117,-0.4863986870605585,-0.4081510746237731,-0.35759615006180756,-0.3226578040150764,-0.30121956613127876,-0.281209971288767,-0.265249912608248,-0.2522295136597769,-0.2413969934988679,-0.23220423666073248,-0.22429356805328876,-0.2173952359757223,-0.21132345511949002,-0.2059302395763511,-0.2010860188998178,-0.19672481899525657,-0.19274443848679917,-0.18766324635185544},
+{-0.9792824277152841,-0.8385792790147729,-0.6193359891406329,-0.4862437160146915,-0.40802275391224047,-0.35748805436102316,-0.3225926272105302,-0.301135061314537,-0.28113304976993153,-0.2651796220102395,-0.2521646196375221,-0.24133651594916328,-0.23214743211975025,-0.22423986372407562,-0.21734418601012262,-0.21127470271510035,-0.20588349643410636,-0.20104105312266418,-0.19668143255356912,-0.19270247195010037,-0.18761347590656746},
+{-0.9804781834706133,-0.8386127776370627,-0.6191631012014355,-0.486088791733683,-0.4078945066901833,-0.3573800322630876,-0.3225273989939445,-0.3010506137082536,-0.2810561884796892,-0.26510938758714503,-0.25209977787590926,-0.2412760871803093,-0.23209067339120526,-0.22418620267421668,-0.21729317714292407,-0.2112259895151663,-0.20583679083749745,-0.20099612342352086,-0.19663808088652718,-0.19266053901372865,-0.18756388446925132},
+{-0.98167045000003,-0.8386451771939074,-0.618990096144479,-0.4859339144907886,-0.4077663330128857,-0.3572720837533691,-0.32246211839170075,-0.30096622333551776,-0.28097938736856015,-0.2650392092848344,-0.2520349883206566,-0.24121570714009494,-0.23203396042534669,-0.22413258485623616,-0.21724220932877203,-0.2111773154762091,-0.2057901227448321,-0.2009512297622108,-0.1965947639553417,-0.19261863964018966,-0.18751447051538217},
+{-0.9828592340579029,-0.8386764815097139,-0.6188169750326136,-0.4857790845574068,-0.4076382329347841,-0.35716420881691746,-0.3223967844628247,-0.30088189021868544,-0.28090264638697143,-0.2649690870491653,-0.2519702509174767,-0.24115537577630203,-0.23197729317242405,-0.2240790102227047,-0.21719128252233,-0.2111286805548368,-0.20574349211432197,-0.2009063720985863,-0.1965514817212899,-0.19257677379193694,-0.18746523250037617},
+{-0.9840445423893398,-0.8387066943988474,-0.6186437389236306,-0.4856243022031055,-0.4075102065096595,-0.3570564074384542,-0.3223313962983991,-0.3007976143794279,-0.28082596548526617,-0.2648990208259759,-0.2519055656121097,-0.24109509303677762,-0.23192067158271212,-0.22402547872621553,-0.2171403966783229,-0.21108008470758033,-0.20569689890432424,-0.2008615503925531,-0.19650823414567298,-0.19253494143152144,-0.18741616886201662},
+{-0.985226381730177,-0.838735819665691,-0.6184703888702856,-0.48546956769570926,-0.4073822537904892,-0.35694867960233156,-0.32226595302108424,-0.30071339583866563,-0.28074934461376405,-0.2648290105611328,-0.2518409323503541,-0.24103485886940446,-0.23186409560660204,-0.22397199031943865,-0.21708955175152456,-0.21103152789117735,-0.20565034307325464,-0.20081676460407955,-0.1964650211899025,-0.1924931425215894,-0.1873672780227027},
+{-0.9864047588069627,-0.8387638611045984,-0.6182969259203039,-0.48531488130115463,-0.4072543748295395,-0.356841025292593,-0.32220045378455203,-0.3006292346166615,-0.28067278372263355,-0.26475905620043944,-0.2517763510779721,-0.24097467322206617,-0.23180756519442086,-0.22391854495503638,-0.2170387476967247,-0.21098301006223813,-0.2056038245794652,-0.20077201469313855,-0.19642184281530445,-0.19245137702472037,-0.1873185583913678},
+{-0.9875796803369623,-0.8387908224999607,-0.618123351116427,-0.48516024328364393,-0.4071265696783871,-0.35673344449293837,-0.32213489777297905,-0.3005451307329664,-0.28059628276202897,-0.2646891576897237,-0.2517118217407942,-0.24091453604272084,-0.23175108029658048,-0.2238651425857361,-0.216987984468771,-0.21093453117754296,-0.20555734338141868,-0.2007273006197582,-0.19637869898331223,-0.19240964490357282,-0.18727000836562224},
+{-0.9887511530281496,-0.838816707626168,-0.6179496654964158,-0.4850056539055681,-0.40699883838778955,-0.35662593718675295,-0.3220692842005311,-0.3004610842064358,-0.2805198416820213,-0.26461931497482,-0.251647344284642,-0.24085444727932082,-0.23169464086355818,-0.22381178316431455,-0.2169372620225377,-0.21088609119383073,-0.2055108994376365,-0.20068262234398448,-0.19633558965545034,-0.19236794612090968,-0.18722162633363038},
+{-0.9899191835791884,-0.8388415202476605,-0.6177758700930746,-0.48485111342753534,-0.40687118100787223,-0.3565185033571178,-0.32200361231078856,-0.3003770950552779,-0.2804434604325857,-0.2645495280015316,-0.2515829186553813,-0.24079440687989112,-0.23163824684580359,-0.22375846664357085,-0.2168865803129661,-0.21083769006793063,-0.20546449270664602,-0.20063797982596254,-0.1962925147932068,-0.19232628063948087,-0.18717341067578064},
+{-0.9910837786794539,-0.8388652641189092,-0.6176019659342874,-0.48469662210844333,-0.4067435975879633,-0.35641114298670507,-0.321937881376254,-0.3002931632969812,-0.280367138963675,-0.26447979671567146,-0.2515185447988973,-0.24073441479244545,-0.23158189819387415,-0.22370519297636104,-0.2168359392950146,-0.210789327756696,-0.20541812314701824,-0.2005933730258495,-0.19624947435813733,-0.19228464842208648,-0.18712535976648692},
+{-0.9922449450089974,-0.8388879429844331,-0.617427954043017,-0.4845421802053631,-0.4066160881767339,-0.35630385605795833,-0.32187209069791234,-0.3002092889483997,-0.28029087722511575,-0.26441012106303174,-0.25145422266109585,-0.24067447096506855,-0.2315255948583379,-0.22365196211557953,-0.21678533892368484,-0.21074100421700925,-0.20537179071738965,-0.20054880190382612,-0.1962064683118402,-0.19224304943159165,-0.1870774719757533},
+{-0.9934026892385668,-0.8389095605788213,-0.6172538354373471,-0.48438778797368587,-0.40648865282215374,-0.3561966425529469,-0.3218062396046577,-0.3001254720257104,-0.28021467516672594,-0.2643405009894209,-0.2513899521879084,-0.2406145753458817,-0.2314693367897721,-0.22359877401416084,-0.21673477915402678,-0.21069271940581674,-0.2053254953764313,-0.20050426642012292,-0.19616349661595267,-0.19220148363090483,-0.1870297456706842},
+{-0.9945570180295786,-0.8389301206267327,-0.6170796111304937,-0.4842334456670083,-0.40636129157141176,-0.35608950245346316,-0.32174032745286857,-0.30004171254445283,-0.28013853273823974,-0.2642709364406348,-0.25132573332530234,-0.2405547278830107,-0.23141312393885288,-0.22354562862508742,-0.21668425994116663,-0.21064447328013608,-0.20527923708286605,-0.20045976653506536,-0.19612055923218985,-0.1921599509829981,-0.18698217921694793},
+{-0.9957079380341334,-0.8389496268429113,-0.6169052821308264,-0.48407915353722863,-0.4062340044710965,-0.35598243574096866,-0.3216743536258395,-0.2999580105194915,-0.28006244988928575,-0.2642014273624697,-0.2512615660192477,-0.24049492852466775,-0.2313569562562477,-0.22349252590136182,-0.21663378124020444,-0.21059626579694501,-0.20523301579543624,-0.20041530220894277,-0.19607765612225747,-0.19211845145083428,-0.18693477098000277},
+{-0.9968554558949891,-0.8389680829321898,-0.6167308494418942,-0.48392491183454805,-0.4061067915669859,-0.35587544239654756,-0.3216083175333259,-0.2998743659650747,-0.2799864265694826,-0.26413197370070157,-0.25119745021574547,-0.24043517721902735,-0.231300833692703,-0.223439465796059,-0.21658334300632204,-0.21054809691332516,-0.20518683147292166,-0.20037087340215798,-0.19603478724790913,-0.19207698499751014,-0.18688751932645287},
+{-0.9979995782455762,-0.8389854925895166,-0.6165563140624477,-0.48377072080740763,-0.40597965290426774,-0.3557685224010954,-0.3215422186111315,-0.29979077889478384,-0.27991046272835207,-0.2640625754011191,-0.2511333858608404,-0.24037547391440278,-0.23124475619898294,-0.22338644826229898,-0.21653294519474897,-0.21049996658640052,-0.2051406840742322,-0.20032648007511422,-0.19599195257099133,-0.19203555158612617,-0.1868404226253474},
+{-0.9991403117099875,-0.8390018594999463,-0.6163816769864486,-0.4836165807025986,-0.40585258852741213,-0.35566167573509055,-0.32147605632057574,-0.29970724932159704,-0.279834558315374,-0.26399323240947664,-0.2510693729005854,-0.24031581855903722,-0.23118872372586452,-0.22333347325320024,-0.21648258776070906,-0.21045187477328592,-0.2050945735581865,-0.20028212218820918,-0.19594915205328656,-0.1919941511797404,-0.18679347924905154},
+{-1.0002776629029544,-0.8390171873386628,-0.6162069392031098,-0.4834624917651854,-0.40572559848015444,-0.355554902378766,-0.32140983014812485,-0.2996237772578456,-0.2797587132799761,-0.26392394467160085,-0.2510054112810493,-0.24025621110128476,-0.23113273622424158,-0.22328054072196457,-0.21643227065955795,-0.21040382143121994,-0.20504849988375945,-0.20023779970200206,-0.19590638565675278,-0.19195278374164615,-0.18674668757451773},
+{-1.0014116384298761,-0.8390314797709981,-0.6160321016968964,-0.4833084542385405,-0.4055986828056266,-0.3554482023120684,-0.3213435396047797,-0.29954036271524487,-0.2796829275714803,-0.2638547121332527,-0.25094150094834594,-0.2401966514895209,-0.23107679364492928,-0.22322765062184285,-0.21638199384659773,-0.2103558065174192,-0.2050024630099062,-0.20019351257703388,-0.19586365334330513,-0.19191144923502856,-0.18670004598417356},
+{-1.0025422448867958,-0.8390447404524228,-0.6158571654475606,-0.4831544683644159,-0.40547184154620675,-0.355341575514528,-0.32127718422574986,-0.2994570057049141,-0.27960720113917753,-0.26378553474020205,-0.25087764184862427,-0.2401371396721076,-0.2310208959389387,-0.22317480290608827,-0.21633175727720771,-0.21030782998918945,-0.20495646289564173,-0.20014926077384276,-0.1958209550749137,-0.19187014762321664,-0.1866535528668577},
+{-1.0036694888603863,-0.839056973028584,-0.6156821314301614,-0.48300053438285606,-0.4053450747436603,-0.3552350219655203,-0.3212107635700284,-0.2993737062373461,-0.2795315339323315,-0.26371641243822996,-0.25081383392802425,-0.24007767559757415,-0.23096504305721832,-0.22312199752803852,-0.21628156090686673,-0.21025989180382454,-0.2049104995000648,-0.20010504425309972,-0.19577829081360498,-0.19182887886952393,-0.1866072066187403},
+{-1.0047933769279702,-0.8390681811352825,-0.6155070006150706,-0.482846652532262,-0.4052183824390878,-0.355128541644011,-0.3211442772198637,-0.2992904643224351,-0.27945592590009577,-0.26364734517309774,-0.25075007713274894,-0.240018259214342,-0.23090923495072962,-0.2230692344410356,-0.21623140469097657,-0.2102119919187036,-0.20486457278222348,-0.20006086297543302,-0.1957356605214502,-0.19178764293732287,-0.18656100564401557},
+{-1.0059139156574994,-0.8390783683985356,-0.6153317739680336,-0.48269282304938615,-0.4050917646728712,-0.3550221345287458,-0.3210777247804797,-0.2992072799695024,-0.27938037699160995,-0.26357833289060834,-0.2506863714090268,-0.23995889047096763,-0.23085347157060637,-0.22301651359852598,-0.21618128858510183,-0.21016413029125958,-0.20481868270134884,-0.20001671690157485,-0.19569306416051313,-0.19174643979010564,-0.18651494835579907},
+{-1.0070311116075519,-0.839087538434522,-0.6151564524501206,-0.4825390461693222,-0.4049652214847875,-0.35491580059814526,-0.3210111058794668,-0.2991241531872077,-0.27930488715591095,-0.2635093755365162,-0.25062271670307984,-0.23989956931599188,-0.23079775286786297,-0.222963834953953,-0.21613121254477335,-0.2101163068789219,-0.20477282921657247,-0.19997260599230005,-0.19565050169300335,-0.19170526939128807,-0.18646903317670294},
+{-1.0081449713273343,-0.8390956948496635,-0.6149810370178217,-0.48238532212560015,-0.40483875291391397,-0.3548095398302976,-0.3209444201664828,-0.29904108398371854,-0.27922945634203933,-0.26344047305662044,-0.2505591129611951,-0.2398402956980375,-0.2307420787937251,-0.2229111984607936,-0.21608117652560405,-0.21006852163924838,-0.20472701228716916,-0.19992853020837287,-0.19560797308108746,-0.1916641317044594,-0.18642325853957253},
+{-1.0092555013566786,-0.8391028412405781,-0.6148055286230109,-0.48223165115002625,-0.4047123589987015,-0.35470335220307686,-0.32087766731286244,-0.29895807236654576,-0.2791540844989343,-0.26337162539666015,-0.250495560129656,-0.23978106956574646,-0.23068644929928916,-0.22285860407260744,-0.21603118048322972,-0.2100207745297038,-0.20468123187239473,-0.19988448951062576,-0.19556547828696502,-0.19162302669313813,-0.1863776228880023},
+{-1.010362708226035,-0.8391089811941392,-0.6146299282130072,-0.48207803347289774,-0.40458603977699564,-0.35459723769400675,-0.3208108470111646,-0.29887511834268027,-0.27907877157550975,-0.2633028325024538,-0.25043205815483244,-0.23972189086780715,-0.23063086433582725,-0.22280605174297347,-0.21598122437333184,-0.20997306550792683,-0.20463548793161934,-0.19984048385998376,-0.19552301727294652,-0.19158195432097236,-0.18633212467704552},
+{-1.0114665984564646,-0.8391141182874573,-0.6144542367305663,-0.48192446932283395,-0.40445979528588305,-0.35449119628036635,-0.32074395897483454,-0.298792221918505,-0.27900351752062036,-0.2632340943197826,-0.2503686069830414,-0.2396627595529272,-0.2305753238545784,-0.22275354142553383,-0.21593130815164696,-0.20992539453157033,-0.20458978042419018,-0.19979651321732084,-0.19548059000133688,-0.19154091455166578,-0.18628676237360298},
+{-1.0125671785596426,-0.8391182560879002,-0.6142784551139059,-0.4817709589268653,-0.40433362556193575,-0.3543852279391493,-0.32067700293770707,-0.29870938309985967,-0.27892832228305,-0.26316541079436945,-0.2503052065606945,-0.23960367556988416,-0.23051982780681968,-0.22270107307392178,-0.2158814317739166,-0.2098777615582187,-0.20454410930948952,-0.19975257754360298,-0.19543819643447813,-0.19149990734880273,-0.18624153445681824},
+{-1.0136644550378584,-0.8391213981531219,-0.6141025842967525,-0.48161750251049834,-0.4042075306409969,-0.3542793326470085,-0.3206099786537113,-0.298626601892016,-0.2788531858115827,-0.26309678187209246,-0.25024185683419475,-0.2395446388674891,-0.23046437614397652,-0.22264864664192086,-0.21583159519599815,-0.20983016654567954,-0.2044984745470234,-0.19970867679988846,-0.19539583653481052,-0.19145893267630076,-0.1861964394188198},
+{-1.0147584343839962,-0.839123548031045,-0.6139266252083159,-0.48146410029759124,-0.40408151055833186,-0.3541735103804015,-0.3205428858965045,-0.2985438782997044,-0.2787781080549059,-0.2630282074986973,-0.25017855775002995,-0.239485649394592,-0.23040896881741285,-0.2225962620832489,-0.215781798373765,-0.209782609451725,-0.20445287609631324,-0.19966481094720379,-0.19535351026479608,-0.19141799049787434,-0.18615147576484203},
+{-1.0158491230815594,-0.8391247092599023,-0.6137505787733508,-0.48131075251047195,-0.40395556534859745,-0.354067761115435,-0.32047572445902656,-0.29846121232710493,-0.2787030889616794,-0.26295968761998134,-0.2501153092546806,-0.2394267071000793,-0.23035360577853553,-0.2225439193517254,-0.21573204126308287,-0.20973509023411707,-0.20440731391687783,-0.1996209799466423,-0.1953112175868682,-0.19137708077740434,-0.18610664201364824},
+{-1.016936527604638,-0.8391248853682298,-0.6135744459121402,-0.481157459369867,-0.40382969504572225,-0.35396208482799535,-0.3204084941532385,-0.29837860397784527,-0.27862812848052215,-0.2628912221817593,-0.25005211129462374,-0.23936781193286877,-0.2302982869788538,-0.2224916184012073,-0.21568232381991592,-0.2096876088507288,-0.2043617879683054,-0.19957718375935762,-0.19526895846359016,-0.19133620347876457,-0.18606193669788396},
+{-1.0180206544179242,-0.839124079874898,-0.6133982275405523,-0.4810042210949791,-0.40370389968314735,-0.353856481493693,-0.3203411948096437,-0.29829605325502057,-0.2785532265599951,-0.2628228111298114,-0.2499889638164164,-0.23930896384196604,-0.2302430123698595,-0.22243935918559776,-0.2156326460002641,-0.20964016525949392,-0.2043162982102602,-0.19953342234654103,-0.19522673285755354,-0.19129535856587443,-0.1860173583644653},
+{-1.0191015099767062,-0.8391222962891014,-0.6132219245700374,-0.48085103790348116,-0.4035781792935849,-0.3537509510877684,-0.32027382627697526,-0.2982135601611991,-0.278478383148612,-0.2627544544099792,-0.24992586676666506,-0.2392501627763471,-0.23018778190315226,-0.222387141658827,-0.21558300776015682,-0.20959275941830824,-0.20427084460240041,-0.19948969566940444,-0.19518454073137204,-0.19125454600273706,-0.1859729055746714},
+{-1.020179100726868,-0.8391195381103995,-0.613045537907642,-0.48069791001145123,-0.4034525339091942,-0.35364549358534947,-0.3202063884218937,-0.2981311246984119,-0.2784035981948479,-0.2626861519680492,-0.24986282009193456,-0.23919140868508693,-0.23013259553032667,-0.2223349657748711,-0.2155334090556804,-0.20954539128520666,-0.2042254271044729,-0.19944600368920717,-0.19514238204766665,-0.19121376575334859,-0.18592857690451503},
+{-1.0212534331048726,-0.8391158088286994,-0.6128690684560343,-0.48054483763350364,-0.4033269635615585,-0.3535401089611492,-0.3201388811286021,-0.2980487468681881,-0.2783288716471441,-0.262617903749837,-0.2497998237389198,-0.239132701517293,-0.2300774532030337,-0.2222828314877786,-0.21548384984295454,-0.20949806081816946,-0.20418004567626946,-0.1994023463672978,-0.19510025676920495,-0.19117301778179596,-0.18588437094495092},
+{-1.0223245135377927,-0.8391111119243042,-0.6126925171135654,-0.4803918209826859,-0.40320146828154524,-0.35343479718972765,-0.3200713042985642,-0.2979664266715332,-0.2782542034539057,-0.2625497097012306,-0.24973687765426977,-0.2390740412220866,-0.23002235487298162,-0.22223073875162358,-0.2154343300782211,-0.2094507679753559,-0.20413470027758884,-0.19935872366500973,-0.1950581648587265,-0.1911323020521748,-0.18584028630202842},
+{-1.0233923484432599,-0.8391054508678976,-0.6125158847741943,-0.48023886027053075,-0.4030760480995458,-0.35332955824533724,-0.3200036578500055,-0.29788416410893925,-0.278179593563458,-0.26248156976799525,-0.2496739817846786,-0.2390154277486714,-0.22996730049188902,-0.22217868752049774,-0.21538484971759697,-0.20940351271482305,-0.20408939086829825,-0.19931513554379854,-0.19501610627904276,-0.19109161852860312,-0.18579632159700832},
+{-1.0244569442295144,-0.839098829120575,-0.6123391723276043,-0.4800859557071172,-0.4029507030452466,-0.3532243921019187,-0.31993594171773715,-0.2978019591804,-0.27810504192413804,-0.26241348389603303,-0.24961113607691315,-0.2389568610462322,-0.22991229001159952,-0.22212667774860606,-0.21533540871739942,-0.2093562949947705,-0.20404411740828088,-0.1992715819650277,-0.19497408099294777,-0.19105096717530312,-0.18575247546658424},
+{-1.0255183072953618,-0.8390912501338419,-0.6121623806591597,-0.4799331075009592,-0.4028254331478066,-0.3531192987332429,-0.3198681558528338,-0.29771981188541585,-0.2780305484841965,-0.262345452031152,-0.2495483404777633,-0.23889834106410607,-0.22985732338388332,-0.22207470939012885,-0.21528600703393197,-0.20930911477343894,-0.2039988798575636,-0.1992280628902462,-0.19493208896336822,-0.19101034795653116,-0.18570874656304115},
+{-1.026576444030198,-0.8390827173496422,-0.6119855106499559,-0.4797803158591364,-0.40270023843580355,-0.3530142781127379,-0.3198003002222032,-0.2976377222229762,-0.27795611319186964,-0.2622774741191992,-0.24948559493398303,-0.238839867751532,-0.22980240056061219,-0.22202278239931894,-0.21523664462354397,-0.2092619720090494,-0.20395367817603882,-0.19918457828094516,-0.19489013015318646,-0.19096976083642403,-0.18566513355414305},
+{-1.0276313608139889,-0.8390732342003697,-0.6118085631768349,-0.4796275809872143,-0.4025751189371611,-0.3529093302136408,-0.31973237480843136,-0.2975556901915937,-0.2778817359953699,-0.2622095501060942,-0.24942289939244433,-0.23878144105792792,-0.22974752149375022,-0.22197089673049408,-0.21518732144262587,-0.20921486665993538,-0.20390851232383678,-0.19914112809875728,-0.19484820452543694,-0.19092920577938555,-0.18562163512348961},
+{-1.0286830640172906,-0.8390628041088699,-0.6116315391123816,-0.47947490308926927,-0.40245007467928756,-0.35280445500895435,-0.3196643796092695,-0.29747371578933,-0.2778074168428738,-0.26214167993767407,-0.24936025380004578,-0.2387230609326339,-0.22969268613521443,-0.22191905233797582,-0.21513803744761606,-0.20916779868445778,-0.2038633822610113,-0.1990977123052985,-0.19480631204308918,-0.19088868274973247,-0.1855782499704649},
+{-1.0297315600012285,-0.8390514304884773,-0.6114544393249665,-0.4793222823679714,-0.4023251056889589,-0.35269965247128643,-0.31959631463745974,-0.2973917990137517,-0.2777331556824526,-0.2620738635598588,-0.24929765810368182,-0.23866472732511723,-0.22963789443706706,-0.22186724917617162,-0.21508879259501335,-0.20912076804100743,-0.20381828794769374,-0.19905433086217483,-0.19476445266924747,-0.19084819171183287,-0.18553497681009457},
+{-1.0307768551174925,-0.8390391167430007,-0.6112772646787559,-0.4791697190244819,-0.4022002119924101,-0.35259492257316355,-0.31952817992044585,-0.2973099398619416,-0.27765895246225103,-0.26200610091851023,-0.24923511225030648,-0.23860644018490118,-0.2295831463513629,-0.2218154871995205,-0.21503958684135382,-0.209073774688061,-0.2037732293441017,-0.1990109837311962,-0.19472262636697502,-0.1908077326301394,-0.18549181437345263},
+{-1.031818955708364,-0.8390258662667606,-0.6111000160337295,-0.47901721325853064,-0.4020753936153233,-0.352490265286769,-0.3194599754999878,-0.29722813833055617,-0.2775848071303127,-0.2619383919595496,-0.24917261618689301,-0.2385481994614661,-0.22952844183014398,-0.22176376636247042,-0.21499042014320546,-0.20902681858411465,-0.20372820641043343,-0.19896767087405132,-0.19468083309947326,-0.19076730546904264,-0.18544876140730915},
+{-1.0328578681066853,-0.8390116824445992,-0.6109226942457142,-0.4788647652684098,-0.4019506505827487,-0.35238568058405983,-0.31939170143198464,-0.2971463944157986,-0.27751071963466944,-0.26187073662891347,-0.24911016986046775,-0.23849000510438678,-0.22947378082564718,-0.2217120866195743,-0.21494129245719384,-0.20897989968767106,-0.20368321910694598,-0.19892439225252845,-0.1946390728298858,-0.19072691019306598,-0.18540581667433453},
+{-1.0338935986358782,-0.8389965686518792,-0.6107453001663655,-0.4787123752509316,-0.401825982919217,-0.35228116843679946,-0.31932335778604765,-0.2970647081133572,-0.2774366899233066,-0.2618031348725048,-0.24904777321808053,-0.2384318570633217,-0.2294191632899557,-0.22166044792540562,-0.21489220373999562,-0.2089330179573361,-0.20363826739397528,-0.1988811478285769,-0.19459734552152086,-0.19068654676678287,-0.1853629789531328},
+{-1.0349261536099164,-0.8389805282545212,-0.6105678346432323,-0.47856004340157005,-0.40170139064868093,-0.3521767288163992,-0.3192549446453002,-0.2969830794185947,-0.27736271794421347,-0.2617355866363011,-0.24898542620684722,-0.2383737552878924,-0.229364589175432,-0.2216088502345982,-0.2148431539483192,-0.20888617335180404,-0.20359335123189826,-0.19883793756398904,-0.19455565113760953,-0.19064621515468638,-0.1853202470379628},
+{-1.0359555393333677,-0.8389635646090068,-0.6103902985197351,-0.4784077699142865,-0.40157687379453955,-0.3520723616941227,-0.31918646210606444,-0.2969015083263587,-0.2772888036453112,-0.26166809186621637,-0.24892312877385908,-0.23831569972782918,-0.22931005843425545,-0.2215572935017831,-0.21479414303891498,-0.2088393658297074,-0.20354847058106817,-0.19879476142073105,-0.19451398964152422,-0.19060591532141513,-0.18527761973892942},
+{-1.0369817621013593,-0.8389456810623903,-0.610212692635211,-0.4782555549816949,-0.4014524323796654,-0.35196806704094247,-0.31911791027762504,-0.2968199948311036,-0.27721494697452737,-0.26160065050824555,-0.24886088086631908,-0.2382576903328698,-0.22925557101882654,-0.22150577768167545,-0.21474517096861157,-0.20879259534977201,-0.20350362540199596,-0.19875161936079588,-0.19447236099662057,-0.19056564723161573,-0.18523509588189824},
+{-1.0380048281995742,-0.8389268809523152,-0.6100350178249175,-0.478103398794966,-0.40132806642629226,-0.3518638448276304,-0.3190492892819409,-0.29673853892682034,-0.27714114787971994,-0.26153326250835984,-0.24879868243136039,-0.2381997270528312,-0.22920112688147432,-0.22145430272906375,-0.21469623769425483,-0.20874586187080846,-0.20345881565515422,-0.19870851134617729,-0.19443076516633173,-0.19052541084996932,-0.18519267430833342},
+{-1.0390247439042812,-0.838907167607033,-0.6098572749200539,-0.47795130154386467,-0.40120377595621803,-0.3517596950247257,-0.3189805992533199,-0.2966571406071371,-0.2770674063087377,-0.2614659278125301,-0.24873653341625296,-0.23814180983747757,-0.22914672597459684,-0.22140286859862612,-0.21464734317268808,-0.2086991653515572,-0.20341404130100504,-0.19866543733894448,-0.1943892021140562,-0.19048520614112452,-0.18515035387527912},
+{-1.04004151548231,-0.8388865443454344,-0.6096794647478012,-0.4777992634168319,-0.4010795609906069,-0.3516556176024812,-0.3189118403382208,-0.2965757998652802,-0.27699372220945495,-0.2613986463668387,-0.248674433768305,-0.2380839386367799,-0.22909236825077262,-0.22135147524537624,-0.2145984873609299,-0.2086525057510097,-0.20336930230025507,-0.1986223973012783,-0.19434767180342427,-0.19044503306991245,-0.18510813345542054},
+{-1.0410551491910534,-0.8388650144770197,-0.6095015881312847,-0.47764728460085426,-0.4009554215501391,-0.3515516125309821,-0.318843012694939,-0.296494516694066,-0.27692009552966473,-0.2613314181172417,-0.24861238343479208,-0.23802611340064783,-0.22903805366245267,-0.22130012262412468,-0.2145496702159413,-0.20860588302803829,-0.2033245986134743,-0.1985793911952829,-0.1943061741979073,-0.1904048916011385,-0.18506601193672267},
+{-1.0420656512784727,-0.8388425813019481,-0.6093236458896527,-0.4774953652815862,-0.4008313576549621,-0.35144767978003166,-0.3187741164933842,-0.29641329108586395,-0.27684652621711975,-0.261264243009801,-0.24855038236308324,-0.2379683340790254,-0.2289837821622014,-0.22124881068981306,-0.21450089169477338,-0.20855929714156274,-0.20327993020138757,-0.1985364189831781,-0.19426470926114403,-0.19036478169964366,-0.1850239882225888},
+{-1.043073027983111,-0.838819248111065,-0.6091456388380659,-0.47734350564328665,-0.4007073693246096,-0.35134381931925207,-0.31870515191486204,-0.2963321230327648,-0.2767730142196003,-0.2611971209906008,-0.24848843050055158,-0.23791060062195513,-0.22892955370261725,-0.2211975393974246,-0.21445215175448984,-0.20851274805067233,-0.20323529702466692,-0.1984934806272337,-0.1942232769567389,-0.19032470333023777,-0.18498206123155336},
+{-1.04407728553405,-0.8387950181858721,-0.6089675677877009,-0.4771917058688494,-0.4005834565781719,-0.35124003111802526,-0.31863611915170165,-0.2962510125263744,-0.27669955948486546,-0.2611300520056467,-0.24842652779460572,-0.2378529129794994,-0.22887536823635157,-0.22114630870200291,-0.2144034503522384,-0.2084662357143855,-0.20319069904407783,-0.1984505760897144,-0.19418187724844793,-0.19028465645790738,-0.18494022989738057},
+{-1.0450784301509597,-0.83876989479858,-0.6087894335458119,-0.47703996613987143,-0.40045961943415986,-0.3511363151454513,-0.3185670184070922,-0.2961699595579835,-0.2766261619605966,-0.2610630360010981,-0.24836467419274344,-0.23779527110175536,-0.2288212257161425,-0.22109511855859965,-0.21435478744515568,-0.20841976009179208,-0.20314613622045974,-0.19840770533297558,-0.19414051009995115,-0.19024464104758487,-0.18489849316870355},
+{-1.0460764680440724,-0.8387438812121131,-0.6086112369156809,-0.4768882866365274,-0.4003358579105613,-0.35103267137049826,-0.31849784989482494,-0.29608896411848734,-0.2765528215944946,-0.26099607292300786,-0.24830286964246395,-0.23773767493887765,-0.22876712609475158,-0.22104396892235578,-0.21430616299053917,-0.20837332114210227,-0.2031016085146653,-0.19836486831945144,-0.1940991754750363,-0.19020465706431888,-0.18485685000925234},
+{-1.0470714054141874,-0.8387169806801242,-0.6084329786967171,-0.4767366675377135,-0.40021217202493703,-0.35092909976183795,-0.3184286138390629,-0.2960080261984568,-0.2764795383342318,-0.2609291627175069,-0.2482411140912847,-0.23768012444103337,-0.22871306932489954,-0.2209928597484193,-0.21425757694559489,-0.20832691882444032,-0.2030571158875898,-0.19832206501150063,-0.19405787333752644,-0.19016470447307865,-0.18481529939723573},
+{-1.0480632484526715,-0.8386891964470071,-0.6082546596844123,-0.4765851090209556,-0.40008856179415603,-0.3508256002879943,-0.3183593104741449,-0.2959271457880783,-0.2764063121274843,-0.26086230533079513,-0.24817940748680434,-0.23762261955854147,-0.22865905535949027,-0.22094179099200573,-0.21420902926769092,-0.20828055309812965,-0.20301265830023607,-0.19827929537167455,-0.19401660365129958,-0.19012478323901671,-0.18477384032579458},
+{-1.0490520033414619,-0.8386605317479205,-0.6080762806703777,-0.47643361126246697,-0.39996502723474153,-0.3507221729172499,-0.31828994004418293,-0.29584632287718077,-0.27633314292188954,-0.26079550070894575,-0.2481177497766468,-0.2375651602416372,-0.22860508415141534,-0.2208907626083979,-0.21416051991414553,-0.20823422392246493,-0.2029682357135396,-0.19823655936248097,-0.193975366380292,-0.19008489332727996,-0.18473247180231878},
+{-1.050037676253061,-0.8386309898087966,-0.6078978424423568,-0.47628217443716653,-0.39984156836257734,-0.3506188176175778,-0.3182205028029856,-0.295765557455259,-0.2762600306650146,-0.26072874879817753,-0.24805614090845685,-0.23750774644062578,-0.22855115565357687,-0.22083977455287895,-0.2141120488424103,-0.2081879312567253,-0.20292384808852337,-0.1981938569464362,-0.1939341614883614,-0.19004503470302758,-0.1846911928486037},
+{-1.0510202733505383,-0.8386005738463542,-0.6077193457842572,-0.4761307987186084,-0.3997181851931251,-0.35051553435689087,-0.3181509990137942,-0.2956848495114943,-0.27618697530451897,-0.2606620495446921,-0.2479945808299675,-0.23745037810594882,-0.2284972698190083,-0.22078882678081013,-0.21406361600994084,-0.20814167506035353,-0.20287949538635364,-0.19815118808629328,-0.19389298893961693,-0.19000520733151582,-0.1846500025008153},
+{-1.0519998007875504,-0.8385692870681247,-0.6075407914761511,-0.47597948427910053,-0.3995948777413165,-0.3504123231027787,-0.3180814289490112,-0.2956041990346456,-0.27611397678794225,-0.2605954028946448,-0.24793306948884375,-0.23739305518797982,-0.22844342660069905,-0.22073791924754338,-0.21401522137419304,-0.20809545529274054,-0.20283517756808178,-0.1981085527445542,-0.1938518486980021,-0.1899654111779473,-0.184608899808962},
+{-1.0529762647083039,-0.8385371326724604,-0.6073621802943149,-0.4758282312896257,-0.3994716460215506,-0.3503091838226748,-0.31801179289014014,-0.2955236060132555,-0.2760410350628849,-0.2605288087943486,-0.24787160683294596,-0.23733577763720093,-0.2283896259517425,-0.22068705190859217,-0.2139668648928068,-0.20804927191344347,-0.20279089459497812,-0.19806595088406354,-0.19381074072768278,-0.1899256462077178,-0.1845678838371364},
+{-1.0539496712475938,-0.8385041138485547,-0.6071835130112089,-0.4756770399198461,-0.39934849004777623,-0.35020611648380806,-0.3179420911272764,-0.29544307043545803,-0.2759681500768719,-0.26046226719001797,-0.24781019281004435,-0.23727854540412097,-0.22833586782527893,-0.2206362247193887,-0.21391854652331999,-0.20800312488194783,-0.20274664642819662,-0.19802338246751994,-0.19376966499272064,-0.18988591238619013,-0.18452695366311755},
+{-1.0549200265307754,-0.8384702337764522,-0.6070047903955137,-0.4755259103382102,-0.39922540983338706,-0.35010312105309727,-0.3178723239590979,-0.29536259228909684,-0.27589532177740944,-0.2603957780279256,-0.24774882736800186,-0.2372213584392896,-0.22828215217448933,-0.22058543763548677,-0.21387026622339378,-0.2079570141578212,-0.2027024330290298,-0.1979808474577337,-0.19372862145732272,-0.18984620967872468,-0.18448610837836332},
+{-1.055887336673793,-0.8384354956270754,-0.6068260132121731,-0.47537484271185726,-0.39910240539135283,-0.35000019749742906,-0.31780249169267655,-0.295282171561713,-0.2758225501121031,-0.2603293412543899,-0.2476875104547399,-0.2371642166933774,-0.22822847895262266,-0.22053469061248654,-0.2138220239507933,-0.20791093970074026,-0.20265825435885465,-0.19793834581759673,-0.19368761008569113,-0.18980653805085446,-0.18444534708771743},
+{-1.056851607783155,-0.8383999025622241,-0.6066471822223513,-0.4752238372066391,-0.39897947673412776,-0.3498973457833348,-0.3177325946430876,-0.29520180824047054,-0.27574983502836253,-0.26026295681568734,-0.24762624201817918,-0.23710712011692936,-0.2281748481128676,-0.2204839836059913,-0.21377381966314413,-0.20786490147035175,-0.20261411037893307,-0.19789587750994864,-0.19364663084207523,-0.18976689746799802,-0.18440466890939344},
+{-1.057812845955953,-0.8383634577346168,-0.606468298183537,-0.4750728939871658,-0.39885662387364834,-0.34979456587721847,-0.3176626331334499,-0.2951215023123046,-0.2756771764737353,-0.26019662465822346,-0.24756502200631936,-0.23705006866071665,-0.22812125960862706,-0.22043331657172838,-0.21372565331833626,-0.20781889942638765,-0.20257000105076628,-0.19785344249780834,-0.19360568369079678,-0.18972728789580307,-0.184364072974728},
+{-1.0587710572798525,-0.8383261642878723,-0.6062893618494476,-0.474922013216761,-0.3987338468214083,-0.34969185774530487,-0.31759260749447116,-0.2950412537637635,-0.27560457439566727,-0.2601303447283051,-0.2475038503671273,-0.23699306227543682,-0.22806771339323018,-0.22038268946534223,-0.21367752487416647,-0.2077729335286126,-0.20252592633578537,-0.19781104074412714,-0.19356476859617622,-0.18968770929978884,-0.1843235584280284},
+{-1.0597262478331082,-0.8382880253565608,-0.6061103739701449,-0.47477119505757615,-0.3986111455883969,-0.34958922135351844,-0.31752251806438414,-0.29496106258115623,-0.2755320287416627,-0.2600641169723499,-0.24744272704872883,-0.23693610091190176,-0.22801420942017503,-0.2203321022426924,-0.21362943428852477,-0.20772700373685582,-0.20248188619545882,-0.19776867221192207,-0.1935238855226178,-0.18964816164563714,-0.1842831244264388},
+{-1.0606784236845417,-0.8382490440662016,-0.6059313352919912,-0.4746204396704237,-0.3984885201851193,-0.3494866566676745,-0.31745236518871467,-0.29488092875046057,-0.2754595394591126,-0.259997941336752,-0.24738165199916395,-0.23687918452094192,-0.22796074764284247,-0.2202815548595478,-0.21358138151940276,-0.207681110010967,-0.20243788059139334,-0.19772633686433982,-0.1934830344345283,-0.18960864489906604,-0.18424277013980705},
+{-1.0616275908935773,-0.8382092235332786,-0.6057522465577052,-0.4744697472149494,-0.39836597062167434,-0.3493841636533602,-0.3173821492200837,-0.2948008522573646,-0.27538710649550585,-0.25993181776795593,-0.247320625166635,-0.23682231305344692,-0.22790732801477165,-0.22023104727176968,-0.21353336652474197,-0.20763525231089142,-0.20239390948517988,-0.19768403466449747,-0.19344221529640515,-0.1895691590257813,-0.18420249475043748},
+{-1.0625737555102057,-0.8381685668652661,-0.6055731085063517,-0.4743191178495363,-0.3982434969075738,-0.3492817422759886,-0.3173118705181086,-0.2947208330872303,-0.27531472979823535,-0.2598657462124342,-0.24725964649928833,-0.23676548646033846,-0.22785395048958734,-0.22018057943534186,-0.21348538926259986,-0.2075894305966013,-0.2023499728384789,-0.1976417655755709,-0.19340142807278338,-0.18952970399158775,-0.18416229745302692},
+{-1.063516923575009,-0.8381270771606286,-0.6053939218733544,-0.4741685517313194,-0.3981210990519497,-0.3491793925007668,-0.31724152944899486,-0.29464087122513544,-0.275242409314689,-0.2597997266165982,-0.24719871594528375,-0.23670870469252536,-0.2278006150208094,-0.2201301513061038,-0.2134374496909932,-0.20754364482800503,-0.20230607061290506,-0.19759952956075455,-0.1933606727281555,-0.18949027976222743,-0.18412217745434045},
+{-1.0644571011191757,-0.8380847575088811,-0.6052146873905424,-0.47401804901632505,-0.3979987770634607,-0.34907711429268007,-0.3171711263855896,-0.29456096665590714,-0.2751701449923474,-0.25973375892708095,-0.24713783345298423,-0.23665196770113306,-0.22774732156223665,-0.22007976284021613,-0.21338954776817265,-0.2074978949653069,-0.20226220277029694,-0.19755732658339287,-0.1933199492272375,-0.1894508863036649,-0.1840821339732942},
+{-1.06539429416446,-0.8380416109905409,-0.6050354057861375,-0.4738676098592396,-0.39787653095025677,-0.3489749076165947,-0.3171006617069806,-0.29448111936406135,-0.27509793677854755,-0.2596678430903444,-0.24707699897062574,-0.23659527543716175,-0.22769407006747766,-0.22002941399364062,-0.2133416834522297,-0.20745218096851947,-0.2022183692723769,-0.19751515660675145,-0.19327925753454678,-0.18941152358176094,-0.18404216624057346},
+{-1.0663285087232222,-0.837997640677187,-0.6048560777847753,-0.47371723441362573,-0.3977543607201157,-0.348872772437103,-0.31703013579846573,-0.2944013293338062,-0.27502578462067995,-0.25960197905294524,-0.24701621244660776,-0.23653862785176205,-0.22764086049035892,-0.21997910472251558,-0.21329385670143863,-0.20740650279780704,-0.20217457008103124,-0.19747301959426,-0.1932385976148685,-0.18937219156251395,-0.18400227349859133},
+{-1.0672597507984207,-0.8379528496314755,-0.6046767041075426,-0.4735669228318252,-0.3976322663802226,-0.3487707087186805,-0.316959549051377,-0.29432159654906465,-0.2749536884660879,-0.2595361667615116,-0.24695547382922034,-0.23648202489604253,-0.22758769278464308,-0.2199288349830072,-0.21324606747405905,-0.2073608604133722,-0.20213080515808846,-0.19743091550921477,-0.19319796943286827,-0.18933289021183508,-0.18396245500122788},
+{-1.0681880263836068,-0.8379072409071395,-0.6044972854719567,-0.47341667526497855,-0.397510247937445,-0.3486687164256213,-0.3168889018628228,-0.2942419209935088,-0.2748816482622005,-0.2594704061626594,-0.24689478306697887,-0.2364254665213018,-0.22753456690425145,-0.2198786047313156,-0.21319831572849712,-0.20731525377554338,-0.20208707446554397,-0.1973888443152534,-0.19315737295343416,-0.18929361949585533,-0.18392271001382765},
+{-1.0691133414629277,-0.8378608175490181,-0.6043178225920169,-0.47326649186307823,-0.3973883053981209,-0.3485667955219368,-0.3168181946354253,-0.2941623026504697,-0.27480966395628426,-0.2594046972030005,-0.24683414010829052,-0.23636895267867253,-0.22748148280307667,-0.21982841392364405,-0.2131506014230189,-0.2072696828444769,-0.2020433779652694,-0.1973468059757284,-0.19311680814125498,-0.18925437938055656,-0.18388303781281012},
+{-1.0700357020111362,-0.8378135825930624,-0.6041383161781894,-0.4731163727748857,-0.39726643876813716,-0.34846494597157057,-0.31674742777741766,-0.2940827415030679,-0.27473773549574765,-0.2593390398292815,-0.246773544901697,-0.23631248331955756,-0.2274284404351289,-0.21977826251641708,-0.2131029245161622,-0.20722414758064112,-0.20199971561944607,-0.19730480045428012,-0.19307627496134683,-0.18921516983214104,-0.1838434376857786},
+{-1.0709551139935922,-0.8377655390663741,-0.6039587669374415,-0.47296631814805884,-0.3971446480530387,-0.34836316773821263,-0.3166766017022186,-0.29400323753410035,-0.27466586282786265,-0.2592734339881262,-0.24671299739573593,-0.236256058395251,-0.22737543975431185,-0.21972815046584715,-0.2130552849663382,-0.20717864794431728,-0.20195608739001436,-0.19726282771444603,-0.19303577337848454,-0.18917599081670078,-0.18380390893110954},
+{-1.0718715833662749,-0.8377166899872013,-0.6037791755732788,-0.4728163281290289,-0.397022933257765,-0.34826146078543496,-0.31660571682848243,-0.29392379072608615,-0.2745940459000048,-0.25920787962633607,-0.24665249753897178,-0.2361996778571741,-0.22732248071480232,-0.2196780777284214,-0.21300768273213133,-0.2071331838960604,-0.2019124932391283,-0.1972208877199536,-0.19299530335771264,-0.1891368423004064,-0.1837644508579691},
+{-1.0727851160757422,-0.8376670383649634,-0.6035995427857002,-0.4726664028630926,-0.3969012943869562,-0.34815982507662363,-0.3165347735797326,-0.2938444010612904,-0.2745222846594746,-0.2591423766906763,-0.24659204528008283,-0.23614334165681827,-0.2272695632706917,-0.21962804426056792,-0.2129601177721222,-0.20708775539629487,-0.20186893312903187,-0.19717898043445525,-0.19295486486401803,-0.1890977242495634,-0.1837250627860889},
+{-1.0736957180591906,-0.8376165872002641,-0.6034198692712623,-0.47251654249440767,-0.3967797314447213,-0.34805826057484957,-0.316463772384245,-0.29376506852163065,-0.27445057905352555,-0.2590769251278989,-0.2465316405676944,-0.23608704974556016,-0.22721668737607958,-0.2195780500187573,-0.2129125900448764,-0.20704236240554108,-0.2018254070218115,-0.19713710582160204,-0.19291445786237038,-0.18905863663033362,-0.18368574404558558},
+{-1.0746033952444236,-0.8375653394849165,-0.6032401557230894,-0.4723667471659597,-0.39665824443481706,-0.34795676724322916,-0.31639271367503147,-0.2936857930888537,-0.27437892902954086,-0.2590115248848588,-0.24647128335058577,-0.236030802075069,-0.22716385298525832,-0.21952809495956582,-0.21286509950914623,-0.2069970048844305,-0.20178191487986552,-0.19709526384531417,-0.19287408231798053,-0.18901957940909453,-0.18364649397688648},
+{-1.07550815354987,-0.8375132982019435,-0.60306040283085,-0.47221701701962865,-0.3965368333605189,-0.34785534504456145,-0.3163215978894714,-0.2936065747443396,-0.2743073345347241,-0.25894617590842484,-0.246410973577461,-0.23597459859685932,-0.2271110600524301,-0.219478179039575,-0.21281764612365572,-0.2069516827935377,-0.20173845666539558,-0.1970534544693151,-0.1928337381958829,-0.18898055255211144,-0.1836073119304822},
+{-1.0764099988845657,-0.8374604663256346,-0.6028806112808573,-0.47206735219612217,-0.3964154982246533,-0.3477539939415056,-0.31625042546944737,-0.29352741346925926,-0.2742357955163873,-0.25888087814548366,-0.24635071119713714,-0.2359184392625836,-0.22705830853193454,-0.21942830221543663,-0.2127702298471742,-0.20690639609360773,-0.20169503234084785,-0.1970116776575277,-0.19279342546127987,-0.18894155602573248,-0.18356819726686446},
+{-1.0773089371481839,-0.837406846821503,-0.6027007817559806,-0.4719177528350179,-0.3962942390296811,-0.3476527138965885,-0.31617919686081664,-0.2934483092444281,-0.27416431192176594,-0.2588156315429423,-0.24629049615846366,-0.2358623240239337,-0.22700559837809564,-0.21937846444380849,-0.2127228506385146,-0.20686114474530193,-0.20165164186858142,-0.19696993337384372,-0.19275314407937427,-0.1889025897963903,-0.1835291493562683},
+{-1.0782049742310325,-0.8373524426463566,-0.6025209149357331,-0.47176821907483524,-0.39617305577760875,-0.34755150487207964,-0.316107912513568,-0.2933692620504873,-0.27409288369813667,-0.25875043604779013,-0.24623032841035297,-0.23580625283263845,-0.22695292954536783,-0.2193286656814658,-0.21267550845658256,-0.20681592870944743,-0.20160828521108665,-0.196928221582246,-0.19271289401545433,-0.18886365383045056,-0.1834901675786359},
+{-1.0790981160140305,-0.8372972567482906,-0.602341011496247,-0.4716187510529043,-0.3960519484700069,-0.3474503668301945,-0.31603657288153736,-0.2932902718677549,-0.27402151079272796,-0.25868529160701537,-0.24617020790174748,-0.23575022564052694,-0.2269003019882221,-0.21927890588518195,-0.21262820326034604,-0.20677074794684813,-0.20156496233086763,-0.19688654224672708,-0.19267267523486187,-0.1888247480944375,-0.18345125132350348},
+{-1.07998836836874,-0.8372412920666978,-0.602161072110317,-0.4714693489054822,-0.3959309171080906,-0.34734929973287587,-0.31596517842222627,-0.29321133867621685,-0.27395019315276503,-0.25862019816759474,-0.24611013458158626,-0.23569424239936232,-0.22684771566108153,-0.21922918501177724,-0.2125809350086998,-0.20672560241835192,-0.201521673190455,-0.19684489533135374,-0.19263248770288632,-0.18878587255474133,-0.18341239998952796},
+{-1.0808757371573674,-0.8371845515323215,-0.6019810974474158,-0.4713200127677205,-0.39580996169256594,-0.3472483035419863,-0.3158937295968812,-0.293132462455706,-0.2738789307254632,-0.2585551556766337,-0.2460501083989327,-0.23563830306109546,-0.22679517051860953,-0.2191795030181749,-0.2125337036607552,-0.20668049208489203,-0.20147841775248743,-0.19680328080019593,-0.1925923313849408,-0.1887470271779319,-0.18337361298488009},
+{-1.0817602282327516,-0.8371270380672104,-0.6018010881736587,-0.47117074277364535,-0.3956890822237855,-0.3471473782192109,-0.31582222687007283,-0.29305364318567306,-0.2738077234580065,-0.25849016408120495,-0.24599012930284514,-0.23558240757761872,-0.2267426665153507,-0.21912985986128497,-0.21248650917560263,-0.2066354169074882,-0.20143519597961912,-0.19676169861741322,-0.19255220624650193,-0.18870821193059883,-0.1833348897266115},
+{-1.082641847438384,-0.8370687545848162,-0.6016210449518968,-0.47102153905625366,-0.3955682787017302,-0.3470465237259993,-0.3157506707096768,-0.29297488084535295,-0.2737365712975669,-0.2584252233284391,-0.24593019724244303,-0.2355265559009061,-0.2266902036059888,-0.21908025549808396,-0.21243935151228788,-0.20659037684709813,-0.2013920078345086,-0.1967201487471666,-0.19251211225298792,-0.18866942677919385,-0.18329622964076442},
+{-1.0835206006083955,-0.8370097039899329,-0.601440968441656,-0.47087240174736744,-0.3954475511258655,-0.34694574002370415,-0.3156790615867798,-0.29289617541370405,-0.27366547419131027,-0.2583603333654656,-0.24587031216688393,-0.2354707479830167,-0.22663778174522176,-0.21903068988565,-0.21239223063007573,-0.20654537186480992,-0.2013488532799781,-0.1966786311537272,-0.1924720493700005,-0.1886306716904863,-0.18325763216216062},
+{-1.084396493567575,-0.8369498891787713,-0.6012608592992039,-0.4707233309778311,-0.3953268994953935,-0.346845027073537,-0.3156073999754763,-0.2928175268693973,-0.2735944320863922,-0.25829549413950903,-0.24581047402543765,-0.23541498377603187,-0.22658540088777646,-0.21898116298101888,-0.21234514648815772,-0.2065004019217075,-0.201305732278787,-0.1966371458013425,-0.1924320175630687,-0.18859194663101897,-0.1832190967343138},
+{-1.0852695321313681,-0.8368893130389516,-0.6010807181775603,-0.4705743268773135,-0.3952063238089593,-0.3467443848365117,-0.3155356863528779,-0.2927389351908827,-0.2735234449299174,-0.2582307055978278,-0.24575068276730783,-0.23535926323208822,-0.22653306098855364,-0.21893167474139297,-0.21229809904587338,-0.2064554669790457,-0.20126264479386646,-0.19659569265439492,-0.1923920167978831,-0.18855325156756042,-0.1831806228092696},
+{-1.0861397221058695,-0.8368279784495133,-0.600900545726459,-0.47042538957445407,-0.39508582406491805,-0.3466438132735013,-0.3154639211987076,-0.29266040035620433,-0.27345251266894455,-0.2581659676875827,-0.24569093834180356,-0.23530358630330717,-0.22648076200230072,-0.21888222512386624,-0.21225108826247363,-0.2064105669979136,-0.20121959078798834,-0.19655427167715545,-0.1923520470400174,-0.18851458646677144,-0.1831422098473433},
+{-1.0870070692878564,-0.8367658882809698,-0.6007203425924471,-0.47027651919689284,-0.3949654002612193,-0.3465433123452106,-0.3153921049954653,-0.29258192234326963,-0.27338163525058057,-0.2581012803561543,-0.24563124069825948,-0.23524795294196044,-0.22642850388397773,-0.21883281408572208,-0.21220411409736428,-0.20636570193960568,-0.2011765702241518,-0.19651288283406987,-0.19231210825518774,-0.18847595129539585,-0.18310385731713597},
+{-1.087871579464757,-0.8367030453952744,-0.6005401094188226,-0.4701277158711149,-0.39484505239536016,-0.34644288201223017,-0.3153202382281285,-0.2925035011296918,-0.27331081262187973,-0.25803664355088585,-0.24557158978614368,-0.2351923631003493,-0.226376286588565,-0.21878344158424268,-0.21215717651002708,-0.20632087176551883,-0.20113358306541218,-0.19647152608963947,-0.19227220040921456,-0.18843734602032458,-0.18306556469550306},
+{-1.0887332584146774,-0.8366394526458736,-0.6003598468456903,-0.4699789797226268,-0.39472478046456033,-0.34634252223494,-0.3152483213840598,-0.29242513669278003,-0.27324004472984853,-0.2579720572191039,-0.2455119855549126,-0.2351368167308342,-0.22632411007106779,-0.21873410757679745,-0.21211027545995254,-0.20627607643695745,-0.2010906292747896,-0.19643020140834344,-0.19223232346787755,-0.18839877060839594,-0.183027331467134},
+{-1.0895921119064016,-0.8365751128777243,-0.6001795555099625,-0.46983031087583277,-0.3946045844654721,-0.34624223297362333,-0.3151763549529812,-0.292346829009584,-0.27316933152144596,-0.2579075213082127,-0.24545242795397126,-0.23508131378570474,-0.22627197428648704,-0.2186848120207141,-0.21206341090663583,-0.20623131591530264,-0.20104770881538125,-0.19638890875474202,-0.19219247739697642,-0.18836022502646,-0.18298915712456099},
+{-1.0904481456993849,-0.8365100289272925,-0.5999992360453816,-0.46968170945412746,-0.39448446439454,-0.34614201418841634,-0.31510433942675586,-0.2922685780568731,-0.27309867294369794,-0.2578430357656796,-0.24539291693299303,-0.23502585421747968,-0.22621987919003506,-0.2186355548734995,-0.2120165828097138,-0.2061865901620522,-0.20100482165035327,-0.19634764809342065,-0.1921526621624935,-0.18832170924149616,-0.18295104116817051},
+{-1.091301365543774,-0.8364442036225864,-0.5998188890825363,-0.46953317557988533,-0.3943644202477126,-0.3460418658392148,-0.3150322752992035,-0.29219038381111717,-0.27302806894342413,-0.25777860053893253,-0.24533345244146865,-0.23497043797857275,-0.22616782473673613,-0.21858633609252986,-0.21196979112874326,-0.20614189913869896,-0.20096196774282182,-0.1963064193889873,-0.19211287773022523,-0.18828322322043078,-0.18291298310574278},
+{-1.0921517771803986,-0.8363776397831587,-0.5996385152488338,-0.4693847093744135,-0.39424445202060215,-0.3459417878858913,-0.3149601630662351,-0.29211224624863663,-0.27295751946761193,-0.25771421557555396,-0.24527403442912032,-0.23491506502159254,-0.22611581088195165,-0.2185371556354685,-0.21192303582349992,-0.20609724280679564,-0.20091914705616343,-0.19626522260619428,-0.1920731240663116,-0.18824476693038028,-0.1828749824527841},
+{-1.0929993863407872,-0.836310340220152,-0.5994581151685902,-0.4692363109580429,-0.3941245597084657,-0.3458417802881051,-0.3148880032254373,-0.2920341653453479,-0.27288702446305957,-0.2576498808230179,-0.24521466284564253,-0.23485973529907056,-0.2260638375808005,-0.2184880134598216,-0.21187631685367747,-0.2060526211279463,-0.20087635955356153,-0.1962240577097194,-0.1920334011366449,-0.18820634033837158,-0.1828370387319339},
+{-1.0938441987471674,-0.8362423077362877,-0.5992776894629883,-0.4690879804500416,-0.3940047433061152,-0.3457418430053723,-0.31481579627626577,-0.2919561410769582,-0.27281658387663055,-0.2575855962289697,-0.24515533764072306,-0.23480444876367368,-0.22601190478865973,-0.2184389095232524,-0.2118296341790442,-0.20600803406380552,-0.20083360519839455,-0.19618292466434561,-0.1919937089073337,-0.1881679434115614,-0.18279915147322845},
+{-1.094686220112452,-0.836173545125898,-0.5990972387501079,-0.4689397179686839,-0.3938850028080477,-0.34564197599715657,-0.31474354271969585,-0.291878173418916,-0.27274619765509833,-0.2575213617409937,-0.24509605876423468,-0.23474920536806188,-0.22596001246087782,-0.21838984378343573,-0.21178298775952142,-0.2059634815760939,-0.20079088395407718,-0.19614182343491282,-0.1919540473445116,-0.18812957611713987,-0.18276132021370006},
+{-1.09552545614028,-0.8361040551749431,-0.5989167636449133,-0.4687915236312615,-0.3937653382083596,-0.3455421792225799,-0.3146712430581503,-0.29180026234634626,-0.27267586574519664,-0.25745717730674234,-0.24503682616598366,-0.23469400506501248,-0.22590816055286922,-0.21834081619814305,-0.21173637755494146,-0.20591896362655848,-0.20074819578401892,-0.19610075398626992,-0.1919144164142793,-0.18809123842232167,-0.1827235444975266},
+{-1.0963619125249862,-0.8360338406610349,-0.5987362647593297,-0.4686433975540137,-0.39364574950079745,-0.34544245264084467,-0.3145988977955765,-0.29172240783418724,-0.27260558809366997,-0.2573930428739124,-0.24497763979591358,-0.2346388478072845,-0.22585634902010854,-0.21829182672514658,-0.21168980352523414,-0.20587448017700138,-0.20070554065169732,-0.19605971628335483,-0.19187481608291823,-0.18805293029444348,-0.18268582387565535},
+{-1.0971955949516334,-0.8359629043534234,-0.5985557427021732,-0.46849533985221964,-0.39352623667873493,-0.3453427962108755,-0.31452650743704824,-0.29164460985704244,-0.2725353646471629,-0.2573289583902274,-0.2449184996039221,-0.23458373354778173,-0.22580457781802876,-0.21824287532230247,-0.21164326563045688,-0.20583003118927545,-0.2006629185206763,-0.19601871029111229,-0.19183524631660276,-0.1880146517007969,-0.1826481579058773},
+{-1.0980265090959938,-0.8358912490130741,-0.5983751980792827,-0.4683473506401863,-0.3934067997351545,-0.3452432098915135,-0.3144540724890845,-0.29156686838931,-0.2724651953523385,-0.25726492380343213,-0.24485940554001318,-0.234528662239316,-0.22575284690224295,-0.21819396194746332,-0.21159676383058557,-0.20578561662529404,-0.20062032935451102,-0.19597773597453805,-0.19179570708164462,-0.18797640260879878,-0.18261054615266836},
+{-1.098854660624569,-0.83581887739262,-0.5981946314933801,-0.46819943003117626,-0.3932874386627172,-0.34514369364151065,-0.31438159345909134,-0.29148918340504826,-0.27239508015578007,-0.25720093906135144,-0.24480035755428997,-0.23447363383488218,-0.22570115622834386,-0.21814508655863885,-0.21155029808575676,-0.20574123644701425,-0.20057777311686442,-0.19593679329869218,-0.19175619834437974,-0.18793818298594644,-0.18257298818704804},
+{-1.0996800551945944,-0.8357457922364268,-0.5980140435442051,-0.46805157813753223,-0.393168153453706,-0.34504424741931367,-0.3143090708555044,-0.291411554878116,-0.2723250190040548,-0.25713700411180984,-0.24474135559680832,-0.23441864828747905,-0.22564950575199183,-0.2180962491137437,-0.21150386835609292,-0.20569689061641983,-0.2005352497713473,-0.19589588222867882,-0.19171672007114016,-0.18789999279962966,-0.18253548358650806},
+{-1.1005026984540338,-0.8356719962805911,-0.5978334348284886,-0.46790379507058333,-0.39304894410005653,-0.3449448711834509,-0.31423650518777535,-0.2913339827821033,-0.27225501184372336,-0.25707311890270224,-0.24468239961775884,-0.2343637055501676,-0.22559789542891373,-0.21804744957090694,-0.2114574746018183,-0.2056525790956225,-0.20049275928175003,-0.19585500272961553,-0.19167727222840703,-0.1878618320175358,-0.1824980319349252},
+{-1.1013225960415922,-0.8355974922529534,-0.5976528059399546,-0.46775608094070953,-0.39292981059336407,-0.34484556489216167,-0.31416389696600655,-0.2912564670903073,-0.2721850586212492,-0.25700928338187745,-0.24462348956733648,-0.23430880557604927,-0.2255463252148192,-0.21799868788821408,-0.21141111678313662,-0.20560830184666667,-0.20045030161179134,-0.19581415476671316,-0.191637854782586,-0.18782370060718223,-0.18246063282237224},
+{-1.1021397535867266,-0.8355222828731509,-0.5974721574693626,-0.46760843585733214,-0.392810752924822,-0.3447463285036491,-0.3140912467012209,-0.2911790077757953,-0.2721151592830783,-0.2569454974973422,-0.2445646253957463,-0.23425394831825297,-0.22549479506555425,-0.21794996402376254,-0.21136479486036897,-0.20556405883174944,-0.2004078767253289,-0.19577333830517785,-0.19159846770022493,-0.1877855985362662,-0.18242328584520173},
+{-1.1029541767096334,-0.8354463708525762,-0.5972914900044721,-0.4674608599288757,-0.3926917710852845,-0.3446471619759378,-0.3140185549049369,-0.29110160481135294,-0.27204531377565244,-0.25688176119702033,-0.24450580705339486,-0.23419913373001988,-0.22544330493693054,-0.2179012779358367,-0.21131850879390557,-0.20551985001306494,-0.2003654845862065,-0.19573255331031725,-0.19155911094784728,-0.18774752577253173,-0.1823859906056956},
+{-1.1037658710212694,-0.8353697588944453,-0.5971108041301222,-0.4673133532628861,-0.3925728650653373,-0.34454806526691273,-0.3139458220892051,-0.29102425816950195,-0.27197552204533093,-0.2568180744289841,-0.24444703449053806,-0.23414436176458875,-0.22539185478488888,-0.21785262958261742,-0.2112722585440292,-0.20547567535285038,-0.20032312515827622,-0.19569179974744344,-0.19151978449204,-0.18770948228367224,-0.18234874671213885},
+{-1.1045748421233565,-0.8352924496938068,-0.5969301004281642,-0.4671659159658624,-0.3924540348550951,-0.34444903833437346,-0.3138730487666411,-0.29094696782257023,-0.27190578403850385,-0.2567544371412477,-0.2443883076576696,-0.23408963237529712,-0.22534044456540125,-0.21780401892248624,-0.2112260440713145,-0.20543153481346244,-0.2002807984056354,-0.1956510775819631,-0.19148048829946107,-0.18767146803759804,-0.18231155377869468},
+{-1.105381095608381,-0.8352144459375273,-0.5967493794775675,-0.46701854814344756,-0.39233528044448296,-0.3443500811359886,-0.3138002354501066,-0.29086973374255076,-0.2718360997014654,-0.25669084928189245,-0.24432962650524703,-0.23403494551549864,-0.22528907423445754,-0.21775544591376306,-0.21117986533617084,-0.20538742835724066,-0.2002385042921424,-0.1956103867792356,-0.19144122233680327,-0.18763348300217186,-0.182274411425287},
+{-1.1061846370595902,-0.8351357503043648,-0.5965686418543619,-0.46687124990030565,-0.3922166018229007,-0.3442511936292686,-0.313727382652932,-0.2907925559012561,-0.2717664689805248,-0.2566273107991076,-0.2442709909837476,-0.2339803011386522,-0.22523774374813266,-0.2177069105149031,-0.21113372229920346,-0.20534335594665087,-0.20019624278199832,-0.19556972730479383,-0.1914019865707962,-0.18759552714532135,-0.18223731927752673},
+{-1.106985472051015,-0.8350563654649246,-0.5963878881316658,-0.46672402134013785,-0.3920979989795425,-0.34415237577162444,-0.31365449088849917,-0.29071543427014834,-0.27169689182189627,-0.2565638216409708,-0.24421240104374953,-0.23392569919814332,-0.22518645306248297,-0.2176584126843223,-0.2110876149209947,-0.20529931754407105,-0.2001540138391822,-0.19552909912410366,-0.19136278096821124,-0.187557600435026,-0.18220027696650254},
+{-1.1077836061474788,-0.8349762940817471,-0.5962071188797236,-0.46657686256580627,-0.3919794719032671,-0.344053627520326,-0.31358156067041154,-0.29063836882058225,-0.2716273681718955,-0.25650038175573553,-0.2441538566359187,-0.23387113964757844,-0.22513520213377358,-0.217609952380593,-0.21104154316217438,-0.20525531311208056,-0.20011181742786655,-0.1954885022027406,-0.19132360549585292,-0.1875197028393656,-0.18216328412888827},
+{-1.1085790449045758,-0.8348955388092653,-0.5960263346658982,-0.46642977367917443,-0.3918610205825192,-0.3439549488325616,-0.3135085925123414,-0.29056135952352313,-0.2715578979766444,-0.256436991091627,-0.244095357710845,-0.23381662244047485,-0.22508399091810993,-0.21756152956227415,-0.2109955069834466,-0.20521134261320095,-0.20006965351225214,-0.195447936506287,-0.19128446012059508,-0.18748183432640075,-0.18212634040661313},
+{-1.10937179386871,-0.8348141022938396,-0.5958455360546824,-0.4662827547812253,-0.3917426450055239,-0.34385633966537255,-0.3134355869278137,-0.290484406349808,-0.27148848118238444,-0.2563736495969473,-0.24403690421937763,-0.23376214753054725,-0.22503281937185238,-0.21751314418800116,-0.21094950634560006,-0.20516740601013828,-0.20002752205660068,-0.19540740200041817,-0.19124534480937228,-0.1874439948643597,-0.1820894454470563},
+{-1.1101618585770683,-0.8347319871737965,-0.595664723607711,-0.46613580597200466,-0.39162434516002903,-0.34375779997565414,-0.31336254443048017,-0.29040750926995806,-0.271419117735229,-0.2563103572199622,-0.24397849611214428,-0.23370771487135744,-0.22498168745123504,-0.21746479621643777,-0.21090354120937338,-0.2051235032654476,-0.19998542302513844,-0.1953668986507926,-0.19120625952910375,-0.18740618442139922,-0.18205259890265224},
+{-1.110949244557652,-0.8346491960794341,-0.5954838978837984,-0.4659889273506596,-0.3915061210335729,-0.343659329720269,-0.31328946553370773,-0.29033066825428433,-0.27134980758137583,-0.25624711390908606,-0.24392013334012552,-0.23365332441676856,-0.2249305951127143,-0.2174164856063835,-0.21085761153573834,-0.2050796343419795,-0.1999433563823001,-0.1953264264232233,-0.19116720424684197,-0.1873684029658882,-0.18201580043106202},
+{-1.1117339573292722,-0.8345657316330208,-0.5953030594389082,-0.46584211901544154,-0.39138797261333097,-0.34356092885583733,-0.31321635075056,-0.29025388327282475,-0.2712805506668786,-0.25618391961263476,-0.2438618158540613,-0.23359897612047942,-0.22487954231262586,-0.21736821231652548,-0.21081171728544823,-0.2050357992024021,-0.19990132209235323,-0.1952859852834361,-0.19112817892959477,-0.18733065046604713,-0.18197904969481082},
+{-1.1125160024015526,-0.8344815964488574,-0.5951222088262135,-0.4656953810636966,-0.3912698998861603,-0.343462597338983,-0.3131432005939583,-0.29017715429548385,-0.2712113469379608,-0.25612077427913216,-0.24380354360503054,-0.2335446699364062,-0.22482852900753791,-0.217319976305829,-0.2107658584195694,-0.20499199780964128,-0.19985932011983532,-0.19524557519730246,-0.19108918354453874,-0.18729292689039845,-0.1819423463615235},
+{-1.1132953852749456,-0.8343967931332503,-0.5949413465960756,-0.46554871359190175,-0.3911519028386267,-0.3433643351261547,-0.3130700155762499,-0.2901004812917729,-0.27114219634057457,-0.2560576778569812,-0.24374531654393428,-0.23349040581837965,-0.22477755515387987,-0.21727177753310378,-0.21072003489908897,-0.2049482301265121,-0.19981735042914506,-0.19520519613069687,-0.19105021805873645,-0.18725523220730234,-0.18190569010352642},
+{-1.1140721114407337,-0.8343113242845549,-0.5947604732960469,-0.4654021166955936,-0.3910339814568862,-0.343266142173692,-0.31299679620962595,-0.29002386423109117,-0.2710730988208806,-0.255994630294746,-0.24368713462182312,-0.23343618372041008,-0.22472662070828142,-0.21722361595732576,-0.21067424668501922,-0.20490449611599182,-0.19977541298484947,-0.19516484804953038,-0.19101128243940657,-0.18721756638534504,-0.18186908059802098},
+{-1.114846186381019,-0.8342251924932076,-0.5945795894709521,-0.4652555904694896,-0.3909161357268838,-0.34316801843788713,-0.3129235430055871,-0.2899473030826013,-0.271004054324969,-0.255931631540942,-0.24362899778983216,-0.23338200359648753,-0.2246757256273807,-0.21717549153750426,-0.2106284937385492,-0.20486079574104088,-0.199733507751506,-0.19512453091978,-0.19097237665383449,-0.1871799293930564,-0.18183251752682572},
+{-1.1156176155687652,-0.8341384003416827,-0.5943986956627907,-0.4651091350073785,-0.3907983656342001,-0.34306996387476674,-0.3128502564750377,-0.28987079781516634,-0.27093506279884905,-0.255868681544167,-0.24357090599906628,-0.23332786540065187,-0.22462486986783792,-0.2171274042327287,-0.21058277602078113,-0.2048171289647006,-0.1996916346937181,-0.19508424470747,-0.1909335006692212,-0.18714232119905316,-0.18179600057637768},
+{-1.1163864044677587,-0.834050950404592,-0.5942177924108661,-0.4649627504021934,-0.3906806711640965,-0.34297197844041816,-0.3127769371283764,-0.2897943483975143,-0.27086612418861455,-0.2558057802530618,-0.24351285920073518,-0.23327376908704156,-0.22457405338639735,-0.21707935400206568,-0.21053709349294158,-0.2047734957500461,-0.19964979377614667,-0.19504398937864054,-0.19089465445297427,-0.1871047417720444,-0.18175952943759255},
+{-1.1171525585326618,-0.8339628452486402,-0.5940368802516918,-0.4648164367460125,-0.3905630523015751,-0.34287406209072524,-0.31270358547518307,-0.2897179547980898,-0.27079723844033765,-0.25574292761631234,-0.2434548573461236,-0.23321971460982627,-0.22452327613983636,-0.2170313408047022,-0.21049144611632564,-0.20472989606025027,-0.1996079849635275,-0.19500376489945814,-0.19085583797242867,-0.1870671910807642,-0.1817231038059084},
+{-1.1179160832089823,-0.8338740874326919,-0.593855959719112,-0.46467019413004057,-0.39044550903124964,-0.3427762147814726,-0.3126302020245266,-0.28964161698516977,-0.2707284055000405,-0.25568012358259984,-0.24339690038648198,-0.2331657019232537,-0.22447253808499035,-0.216983364599878,-0.2104458338521905,-0.20468632985849267,-0.19956620822060855,-0.1949635712360127,-0.190817051195027,-0.18702966909397267,-0.18168672338106273},
+{-1.1186769839330872,-0.8337846795077265,-0.5936750313441929,-0.4645240226445744,-0.39032804133746657,-0.3426784364684232,-0.31255678728443714,-0.2895653349267371,-0.27065962531380494,-0.25561736810066726,-0.2433389882732243,-0.23311173098154991,-0.22442183917874003,-0.21693542534683652,-0.2104002566619828,-0.2046427971080066,-0.19952446351220743,-0.19492340835453092,-0.19077829408822544,-0.1869921757805626,-0.18165038786710175},
+{-1.1194352661322402,-0.8336946240169301,-0.5934940956553401,-0.46437792237915543,-0.39021064920434073,-0.34258072710704957,-0.3124833417621732,-0.28948910859066623,-0.2705908978277064,-0.25555466111940006,-0.24328112095770138,-0.23305780173908197,-0.22437117937807605,-0.21688752300491299,-0.21035471450709442,-0.20459929777208752,-0.19948275080315703,-0.19488327622125212,-0.19073956661953317,-0.18695471110934014,-0.1816140969723179},
+{-1.120190935224557,-0.8336039234956756,-0.5933131531782516,-0.4642318934223962,-0.39009333261557216,-0.34248308665294525,-0.31240986596414844,-0.2894129379445636,-0.27052222298783835,-0.255492002587572,-0.24322329839143175,-0.23300391415026334,-0.22432055863994438,-0.2168396575334981,-0.2103092073489783,-0.2045558318140922,-0.1994410700583723,-0.19484317480247482,-0.19070086875653225,-0.1869172750493291,-0.18157785040913643},
+{-1.1209439966190498,-0.8335125804715137,-0.5931322044359524,-0.46408593586209335,-0.38997609155463386,-0.34238551506143644,-0.3123363603956414,-0.289336822955819,-0.27045360074023883,-0.2554293924540757,-0.24316552052588147,-0.2329500681695007,-0.2242699769213845,-0.2167918288920332,-0.21026373514912777,-0.2045123991973724,-0.19939942124278864,-0.19480310406448487,-0.19066220046676097,-0.18687986756937214,-0.18154164789397154},
+{-1.1216944557156223,-0.8334205974642683,-0.5929512499488189,-0.46394004978520875,-0.38985892600466565,-0.3422880122878058,-0.31226282556116525,-0.289260763591662,-0.2703850310310577,-0.2553668306678627,-0.24310778731263383,-0.2328962637513402,-0.22421943417954016,-0.21674403703998968,-0.2102182978691861,-0.20446899988545375,-0.19935780432141958,-0.1947630639737158,-0.19062356171794848,-0.18684248863859432,-0.18150548914746756},
+{-1.1224423179050684,-0.8333279769859644,-0.5927702902345113,-0.4637942352778314,-0.3897418359485131,-0.3421905782872622,-0.3121892619639448,-0.2891847598190622,-0.27031651380637056,-0.2553043171778654,-0.24305009870334093,-0.23284250085029135,-0.22416893037150354,-0.21669628193692314,-0.21017289547078477,-0.20442563384174695,-0.199316219259294,-0.19472305449657867,-0.1905849524777039,-0.18680513822599287,-0.18146937389397155},
+{-1.1231875885690918,-0.8332347215409174,-0.5925893258081124,-0.46364849242528866,-0.3896248213687851,-0.342093213014823,-0.3121156701061921,-0.2891088116048316,-0.2702480490123199,-0.255241851933126,-0.24299245464959307,-0.23278877942097598,-0.2241184654545243,-0.2166485635424259,-0.21012752791554712,-0.20438230102985344,-0.19927466602149557,-0.19468307559952036,-0.19054637271380326,-0.18676781630061345,-0.18143330186184936},
+{-1.1239302730803087,-0.833140833625702,-0.5924083571820403,-0.4635028213119831,-0.38950788224771365,-0.3419959164255342,-0.3120420504889885,-0.28903291891560323,-0.27017963659507294,-0.25517943488268935,-0.24293485510317747,-0.23273509941810067,-0.22406803938587205,-0.21660088181617798,-0.21008219516525772,-0.20433900141333605,-0.19923314457321528,-0.19464312724910282,-0.19050782239402686,-0.18673052283159164,-0.18139727278328088},
+{-1.1246703768022486,-0.833046315729223,-0.5922273848661042,-0.46335722202160556,-0.38939101856733777,-0.3418986884742474,-0.3119684036120156,-0.288957081717777,-0.2701112765007907,-0.25511706597565964,-0.2428773000158978,-0.23268146079637164,-0.224017652122788,-0.21655323671784255,-0.21003689718169505,-0.20429573495585418,-0.19919165487956514,-0.19460320941184395,-0.19046930148617147,-0.18669325778802426,-0.18136128639417282},
+{-1.1254079050893684,-0.8329511703326864,-0.5920464093675104,-0.4632116946369416,-0.38927423030930064,-0.3418015291157449,-0.31189472997401557,-0.28888129997760637,-0.2700429686756747,-0.25505474516122584,-0.2428197893395,-0.2326278635105461,-0.2239673036227009,-0.2165056282072273,-0.20999163392668307,-0.20425250162110842,-0.19915019690585545,-0.1945633220543984,-0.19043080995818262,-0.1866560211390924,-0.18132534243409815},
+{-1.1261428632870454,-0.8328553999096173,-0.5918654311908347,-0.4630662392399627,-0.3891575174550196,-0.3417044383047213,-0.31182103007214934,-0.28880557366105786,-0.2699747130659006,-0.2549924723884667,-0.24276232302589473,-0.23257430751543695,-0.22391699384299268,-0.21645805624405645,-0.20994640536211617,-0.2042093013728027,-0.1991087706173179,-0.19452346514339036,-0.19039234777788472,-0.18661881285389514,-0.18128944064624286},
+{-1.1268752567316187,-0.8327590069259417,-0.5916844508381272,-0.46292085591192556,-0.38904087998569337,-0.3416074159957553,-0.3117473044023912,-0.2887299027340511,-0.2699065096177856,-0.25493024760671956,-0.2427049010269814,-0.23252079276597926,-0.22386672274111474,-0.21641052078829326,-0.20990121144991536,-0.2041661341747668,-0.19906737597926738,-0.19448363864553186,-0.19035391491320075,-0.18658163290154506,-0.18125358077744158},
+{-1.1276050907503408,-0.832661993839913,-0.5915034688088088,-0.4627755447331919,-0.38892431788210413,-0.3415104621433671,-0.3116735534592805,-0.28865428716226105,-0.26983835827756175,-0.2548680707652191,-0.24264752329480366,-0.23246731921708907,-0.2238164902746017,-0.2163630217998288,-0.209856052152123,-0.20412299999081152,-0.19902601295710587,-0.19444384252759073,-0.19031551133224367,-0.18654448125132883,-0.18121776257799138},
+{-1.128332370661436,-0.8325643631022001,-0.5913224855997794,-0.4626303057833564,-0.3888078311249036,-0.3414135767019719,-0.3115997777358489,-0.28857872691117537,-0.26977025899158324,-0.25480594181329874,-0.24259018978141367,-0.2324138868237603,-0.22376629640108492,-0.21631555923866097,-0.20981092743078578,-0.20407989878487276,-0.19898468151629745,-0.1944040767563776,-0.1902771370029832,-0.1865073578723918,-0.18118198580170886},
+{-1.129057101774087,-0.8324661171558745,-0.5911415017053436,-0.4624851391411946,-0.3886914196943015,-0.3413167596258747,-0.3115259777238828,-0.28850322194609435,-0.26970221170617004,-0.2547438607003023,-0.24253290043879105,-0.23236049554105365,-0.22371614107810955,-0.21626813306476644,-0.20976583724798348,-0.20403683052082966,-0.1989433816222531,-0.19436434129870228,-0.190238791893523,-0.18647026273384926,-0.18114625020569675},
+{-1.1297792893884315,-0.8323672584364481,-0.5909605176173234,-0.46234004488474745,-0.38857508357036585,-0.34122001086933107,-0.31145215391350267,-0.2884277722321955,-0.26963421636775353,-0.25468182737570155,-0.24247565521920544,-0.23230714532408037,-0.22366602426340398,-0.21622074323830764,-0.20972078156589602,-0.2039937951627553,-0.19890211324058316,-0.19432463612152073,-0.19020047597203305,-0.18643319580501228,-0.18111055555051647},
+{-1.1304989387955895,-0.8322677893718566,-0.5907795338249658,-0.46219502309117755,-0.3884588227328507,-0.34112333038640563,-0.3113783067932706,-0.2883523777343704,-0.269566272922648,-0.2546198417888659,-0.24241845407474638,-0.2322538361279557,-0.2236159459146949,-0.21617338971930378,-0.2096757603467032,-0.20395079267458494,-0.1988608763367088,-0.19428496119171046,-0.1901621892066222,-0.18639615705494128,-0.18107490159995643},
+{-1.1312160552776498,-0.8321677123825201,-0.5905985508150198,-0.4620500738369609,-0.3883426371611941,-0.341026718131228,-0.3113044368502963,-0.2882770384175205,-0.26949838131746606,-0.2545579038894167,-0.2423612969577419,-0.2322005679079786,-0.22356590598980586,-0.21612607246811966,-0.20963077355273974,-0.20390782302047816,-0.19881967087644292,-0.19424531647633536,-0.19012393156561358,-0.18635914645294838,-0.18103928812107206},
+{-1.1319306441077055,-0.8320670298813413,-0.5904175690717348,-0.46190519719774287,-0.3882265268347067,-0.3409301740577312,-0.31123054456988986,-0.28820175424623484,-0.2694305414985755,-0.2544960136268103,-0.24230418382044128,-0.2321473406193426,-0.22351590444650382,-0.21607879144486197,-0.20958582114625246,-0.20386488616452658,-0.19877849682528403,-0.1942057019423803,-0.19008570301719874,-0.18632216396819457,-0.18100371488413158},
+{-1.132642710549839,-0.8319657442737127,-0.5902365890768815,-0.4617603932483919,-0.38811049173221257,-0.34083369811976727,-0.31115663043598885,-0.28812652518496695,-0.2693627534125874,-0.2544341709506861,-0.24224711461519544,-0.2320941542174002,-0.223465941242723,-0.21603154660988744,-0.20954090308961493,-0.2038219820709607,-0.19873735414901672,-0.1941661175569579,-0.19004750352971167,-0.18628520956994854,-0.18096818166245365},
+{-1.1333522598591084,-0.8318638579575607,-0.5900556113096909,-0.46161566206304705,-0.3879945318324576,-0.3407372902711815,-0.31108269493065566,-0.28805135119805725,-0.2692950170061086,-0.25437237581069794,-0.24219008929444097,-0.23204100865750177,-0.22341601633643005,-0.21598433792349647,-0.2094960193452965,-0.20377911070397503,-0.1986962428134128,-0.19412656328721367,-0.19000933307158796,-0.1862482832274075,-0.18093268823252695},
+{-1.1340592972816133,-0.8317613733233308,-0.5898746362469838,-0.4614710037150111,-0.3878786471138408,-0.3406409504656067,-0.3110087385342084,-0.28797623224960556,-0.26922733222575856,-0.25431062815649197,-0.2421331078106128,-0.23198790389513813,-0.22336612968561298,-0.21593716534619734,-0.20945116987576284,-0.2037362720278606,-0.19865516278423234,-0.19408703910030578,-0.18997119161115084,-0.18621138490986056,-0.18089723437390703},
+{-1.1347638280544554,-0.831658292754055,-0.5896936643630871,-0.4613264182768855,-0.3877628375545288,-0.340544678656721,-0.310934761725403,-0.2879011683036258,-0.2691596990182197,-0.2542489279378344,-0.24207617011623772,-0.23193483988575414,-0.2233162812483529,-0.2158900288383534,-0.2094063546435253,-0.2036934660069729,-0.19861411402735218,-0.19404754496349252,-0.18993307911694868,-0.18617451458662415,-0.18086181986903627},
+{-1.135465857405758,-0.8315546186252983,-0.5895126961298864,-0.46118190582050494,-0.3876471031324157,-0.34044847479805596,-0.3108607649810299,-0.28782615932395883,-0.2690921173302325,-0.2541872751045222,-0.2420192761638772,-0.23188181658489504,-0.22326647098275465,-0.2158429283605674,-0.20936157361121688,-0.2036506926056637,-0.19857309650871002,-0.1940080808440492,-0.1898949955574193,-0.18613767222699218,-0.18082644450340102},
+{-1.1361653905546794,-0.8314503533052722,-0.5893317320168422,-0.46103746641693866,-0.3875314438251094,-0.34035233884304283,-0.3107867487762742,-0.2877512052742368,-0.2690245871085839,-0.2541256696063635,-0.24196242590614625,-0.23182883394818066,-0.22321669884695194,-0.21579586387335659,-0.20931682674144936,-0.20360795178836544,-0.19853211019422312,-0.19396864670929115,-0.18985694090118777,-0.18610085780031171,-0.18079110806533083},
+{-1.1368624327114139,-0.8313454991547452,-0.5891507724909694,-0.46089310013650386,-0.38741585961001057,-0.34025627074513,-0.31071271358436026,-0.28767630611798256,-0.26895710830010455,-0.254064111393258,-0.2419056192957374,-0.23177589193123493,-0.22316696479920473,-0.2157488353373176,-0.20927211399694823,-0.2035652435195846,-0.1984911550498928,-0.1939292425266077,-0.18981891511683102,-0.1860640712760171,-0.18075581034598298},
+{-1.1375569890772073,-0.8312400585271529,-0.5889698180168521,-0.46074880704876553,-0.3873003504642577,-0.3401602704574902,-0.3106386598766929,-0.28760146181859836,-0.26888968085171716,-0.2540026004151331,-0.24184885628534536,-0.23172299048979395,-0.22311726879780092,-0.21570184271318638,-0.20922743534049615,-0.20352256776381805,-0.1984502310417432,-0.19388986826339172,-0.18978091817299603,-0.18602731262344852,-0.18072055113939334},
+{-1.1382490648443486,-0.8311340337685738,-0.588788869056722,-0.4606045872225931,-0.3871849163647286,-0.34006433793345625,-0.31056458812279997,-0.2875266723392722,-0.26882230471033375,-0.2539411366219514,-0.24179213682778333,-0.23167012957962052,-0.22306761080105597,-0.21565488596165883,-0.20918279073485424,-0.20347992448565566,-0.19840933813588424,-0.19385052388710733,-0.18974295003843755,-0.18599058181219208,-0.18068533024227484},
+{-1.138938665196196,-0.8310274272177288,-0.5886079260703453,-0.46046044072606723,-0.3870695572880405,-0.3399684731261321,-0.31049049879021084,-0.28745193764304267,-0.2687549798229586,-0.2538797199637375,-0.24173546087587794,-0.23161730915650802,-0.22301799076733297,-0.2156079650435262,-0.209138180142867,-0.2034373136496983,-0.1983684762984168,-0.1938112093652652,-0.18970501068184287,-0.18595387881168612,-0.1806501474541562},
+{-1.139625795307171,-0.8309202412060664,-0.588426989515181,-0.4603163676265704,-0.3869542732105684,-0.3398726759885712,-0.3104163923447263,-0.28737725769287625,-0.2686877061366705,-0.25381835039057155,-0.2416788283825071,-0.2315645291763455,-0.22296840865512957,-0.21556107991964502,-0.20909360352752238,-0.20339473522066154,-0.19832764549558501,-0.1937719246654247,-0.18966710007207477,-0.1859172035915886,-0.18061500257718432},
+{-1.1403104603427796,-0.8308124780576862,-0.5882460598462459,-0.4601723679907217,-0.38683906410841773,-0.33977694647379253,-0.31034226925004993,-0.28730263245149124,-0.26862048359856927,-0.2537570278525585,-0.24162223930063242,-0.23151178959505947,-0.2229188644228728,-0.2155142305508988,-0.2090490608517287,-0.2033521891632437,-0.19828684569356658,-0.19373266975524772,-0.18962921817793787,-0.18588055612151122,-0.18057989541612307},
+{-1.1409926654595917,-0.8307041400894444,-0.5880651375162307,-0.46002844188445846,-0.3867239299575427,-0.3396812845346533,-0.3102681299678991,-0.2872280618815045,-0.2685533121558059,-0.2536957522998894,-0.2415656935831889,-0.2314590903685897,-0.22286935802916863,-0.21546741689818805,-0.20900455207858704,-0.2033096754422179,-0.19824607685861761,-0.19369344460225413,-0.18959136496834494,-0.18584393637111984,-0.18054482577839748},
+{-1.1416724158052927,-0.8305952296109326,-0.5878842229754675,-0.4598845893729491,-0.3866088707335231,-0.33958569012403583,-0.31019397495802414,-0.28715354594545806,-0.268486191755663,-0.25363452368277084,-0.2415091911833176,-0.2314064314530624,-0.22281988943263042,-0.21542063892258034,-0.20896007717114196,-0.20326719402239546,-0.19820533895712122,-0.19365424917423157,-0.18955354041229044,-0.18580734431028223,-0.18050979347388862},
+{-1.1423497165186602,-0.8304857489244908,-0.5877033166719374,-0.4597408105207007,-0.3864938864118248,-0.3394901631947346,-0.31011980467807954,-0.28707908460562503,-0.268419122345372,-0.25357334195146586,-0.24145273205412177,-0.23135381280450606,-0.22277045859189015,-0.21537389658506811,-0.20891563609253916,-0.2032247448686727,-0.19816463195541623,-0.1936150834388618,-0.18951574447872277,-0.18577077990876545,-0.18047479831510593},
+{-1.1430245727295691,-0.8303757003252372,-0.5875224190513179,-0.4595971053914798,-0.38637897696755286,-0.3393947036994138,-0.31004561958388854,-0.2870046778242442,-0.2683521038723625,-0.2535122070563377,-0.24139631614871992,-0.23130123437909167,-0.2227210654657018,-0.21532718984683907,-0.2088712288059822,-0.20318232794597635,-0.19812395581993458,-0.19357594736398376,-0.18947797713676173,-0.18573424313652986,-0.18043984011697312},
+{-1.1436969895590112,-0.8302650861010726,-0.587341530556893,-0.4594534740482939,-0.38626414237560336,-0.3392993115906484,-0.3099714201289415,-0.286930325563305,-0.2682851362839691,-0.25345111894763594,-0.24133994342031895,-0.23124869613296484,-0.22267171001282382,-0.21528051866893072,-0.208826855274712,-0.20313994321922346,-0.19808331051711148,-0.1935368409173881,-0.18944023835543233,-0.18569773396353495,-0.18040491869684439},
+{-1.144366972119129,-0.8301539085327524,-0.5871606516297462,-0.4593099165535513,-0.3861493826107808,-0.33920398682107444,-0.30989720676483057,-0.2868560277847855,-0.268218219527699,-0.25339007757590515,-0.24128361382222918,-0.2311961980224425,-0.22262239219210844,-0.2152338830126902,-0.2087825154620293,-0.20309759065346256,-0.19804269601345126,-0.19349776406694308,-0.18940252810389913,-0.18566125235981845,-0.18037003387462325},
+{-1.1450345255131502,-0.8300421698938049,-0.5869797827085746,-0.459166432968868,-0.3860346976474297,-0.3391087293430829,-0.3098229799409655,-0.2867817844503925,-0.26815135355107644,-0.25332908289151235,-0.241227327307723,-0.231143740003786,-0.22257311196239016,-0.21518728283928645,-0.20873820933130116,-0.203055270213776,-0.19800211227555253,-0.19345871678056692,-0.18936484635143536,-0.18562479829554368,-0.18033518547249483},
+{-1.1456996548354763,-0.8299298724506448,-0.5867989242298062,-0.4590230233552288,-0.38592008745987294,-0.33901353910920484,-0.30974874010454634,-0.28670759552179703,-0.2680845383017597,-0.2532681348450042,-0.24117108383030117,-0.2310913220333839,-0.22252386928270262,-0.2151407181101027,-0.20869393684595305,-0.2030129818652675,-0.19796155927002212,-0.19341969902626777,-0.18932719306720602,-0.1855883717409451,-0.1803003733152001},
+{-1.1463623651716472,-0.8298170184625382,-0.5866180766276126,-0.45887968777285065,-0.3858055520220032,-0.3389184160716665,-0.30967448770089445,-0.28663346096051545,-0.26801777372733093,-0.2532072333869596,-0.2411148833432576,-0.2310389440676358,-0.2224746641119585,-0.21509418878647668,-0.20864969796939625,-0.20297072557306906,-0.19792103696348384,-0.19338071077199703,-0.18928956822054177,-0.1855519726662328,-0.180265597229752},
+{-1.147022661598348,-0.829703610181646,-0.5864372403338798,-0.4587364262813464,-0.38569109130763135,-0.3388233601828289,-0.3096002231729513,-0.28655938072791787,-0.2679510597755925,-0.2531463784679582,-0.24105872580021792,-0.23098660606300359,-0.22242549640930775,-0.21504769482989616,-0.20860549266520423,-0.2029285013024471,-0.19788054532270005,-0.19334175198588222,-0.18925197178080921,-0.18551560104185172,-0.18023085704558262},
+{-1.1476805491834372,-0.8295896498530091,-0.5862564157782132,-0.45859323893956633,-0.38557670529029964,-0.3387283713948369,-0.3095259469615156,-0.28648535478514603,-0.2678843963942634,-0.25308557003865917,-0.2410026111546184,-0.23093430797601844,-0.22237636613380707,-0.21500123620176115,-0.2085613208969257,-0.20288630901863858,-0.19784008431435296,-0.19330282263596166,-0.1892144037173914,-0.18547925683817912,-0.18019615259455235},
+{-1.1483360329859376,-0.8294751397146262,-0.5860756033880201,-0.45845012580573025,-0.3854623939432994,-0.33863344965989206,-0.30945165950532383,-0.28641138309342584,-0.26781778353130814,-0.2530248080498195,-0.2409465393601744,-0.23088204976326054,-0.22232727324470425,-0.21495481286370244,-0.20851718262820818,-0.20284414868698253,-0.19779965390534038,-0.19326392269045622,-0.18917686399976807,-0.18544294002575568,-0.18016148371079677},
+{-1.1489891180560599,-0.8293600819973944,-0.5858948035884095,-0.458307086937376,-0.3853481572397487,-0.338538594930077,-0.3093773612406836,-0.28633746561363205,-0.2677512211345421,-0.25296409245215135,-0.2408905103704987,-0.23082983138134516,-0.22227821770114087,-0.2149084247772649,-0.2084730778227205,-0.20280202027277394,-0.1977592540624682,-0.1932250521175265,-0.18913935259738024,-0.1854066505751233,-0.1801268502309492},
+{-1.14963980943521,-0.8292444789252105,-0.585714016802327,-0.4581641223913437,-0.3852339951524789,-0.33844380715734734,-0.3093030526019759,-0.2862636023066518,-0.2676847091520298,-0.25290342319648684,-0.24083452413926165,-0.23077765278695117,-0.22222919946243913,-0.214862071904102,-0.20842900644415485,-0.202759923741488,-0.19771888475262567,-0.19318621088540644,-0.18910186947981544,-0.18537038845698128,-0.18009225199383905},
+{-1.1502881121559585,-0.829128332714905,-0.5855332434504483,-0.4580212322238029,-0.3851199076541344,-0.3383490862937485,-0.30922873402116025,-0.28618979313317305,-0.2676182475318234,-0.2528428002336329,-0.2407785806203092,-0.23072551393684881,-0.2221802184879934,-0.21481575420591448,-0.20838496845632126,-0.2027178590585793,-0.19767854594279333,-0.1931473989624527,-0.189064414616674,-0.1853341536420008,-0.18005768884073903},
+{-1.150934031242107,-0.8290116455763263,-0.5853524839512445,-0.457878416490282,-0.3850058947171773,-0.3382544322910901,-0.30915440592794186,-0.2861160380537714,-0.2675518362220184,-0.25278222351452706,-0.24072267976745643,-0.23067341478780778,-0.2221312747371773,-0.2147694716445122,-0.20834096382306677,-0.20267582618956925,-0.19763823759996935,-0.19310861631700804,-0.18902698797763584,-0.18529794610103112,-0.1800231606152387},
+{-1.1515775717086658,-0.8288944197123318,-0.5851717387210105,-0.45773567524562114,-0.3848919563137798,-0.338159845101215,-0.3090800687498999,-0.2860423370288968,-0.2674854751708279,-0.2527216929901369,-0.24066682153458474,-0.23062135529663175,-0.2220823681694415,-0.21472322418166323,-0.20829699250826106,-0.20263382509999217,-0.19759795969121097,-0.19306986291741712,-0.18898958953235456,-0.18526176580488363,-0.17998866716316564},
+{-1.1522187385618632,-0.828776657318783,-0.5849910081738241,-0.45759300854402585,-0.38477809241594185,-0.33806532467595063,-0.30900572291217,-0.28596869001889824,-0.2674191643265238,-0.2526612086114338,-0.24061100587563966,-0.23056933542028568,-0.22203349874432388,-0.2146770117792427,-0.2082530544758462,-0.20259185575546612,-0.19755771218362994,-0.19303113873219835,-0.18895221925056993,-0.1852256127244971,-0.1799542083327237},
+{-1.15285753679915,-0.8286583605846382,-0.5848102927216375,-0.45745041643902307,-0.3846643029954566,-0.33797087096692036,-0.30893136883787076,-0.2858950969839926,-0.26735290363740394,-0.25260077032949746,-0.2405552327446222,-0.2305173551157187,-0.22198466642138437,-0.21463083439919206,-0.208209149689788,-0.2025499181216892,-0.19751749504438976,-0.19299244372976565,-0.18891487710216182,-0.1851894868308943,-0.17991978397426256},
+{-1.1534939714092318,-0.8285395316918717,-0.5846295927741644,-0.4573078989834956,-0.3845505880238457,-0.3378764839258669,-0.30885700694760876,-0.2858215578842298,-0.2672866930518836,-0.2525403780954115,-0.24049950209561755,-0.23046541433990209,-0.22193587116028612,-0.2145846920034672,-0.20816527811418917,-0.2025080121643238,-0.19747730824065668,-0.19295377787876355,-0.18887756305689596,-0.1851533880950984,-0.17988539394040615},
+{-1.1541280473720328,-0.8284201728155592,-0.5844489087390062,-0.4571654562296665,-0.3844369474725299,-0.33778216350427936,-0.3087826376597349,-0.2857480726795919,-0.26722053251842515,-0.2524800318603232,-0.24044381388273073,-0.23041351304992996,-0.22188711292070484,-0.21453858455411123,-0.20812143971310637,-0.20246613784915257,-0.197437151739701,-0.1929151411477541,-0.1888402770847104,-0.1851173164881903,-0.17985103808594727},
+{-1.154759769658766,-0.828300286123894,-0.5842682410216098,-0.4570230882291513,-0.38432338131261257,-0.33768790965375695,-0.30870826139039365,-0.28567464132994536,-0.2671544219855464,-0.2524197315754344,-0.24038816806009433,-0.23036165120291008,-0.22183839166239105,-0.2144925120132415,-0.2080776344506725,-0.20242429514197735,-0.19739702550878313,-0.19287653350534284,-0.18880301915553166,-0.18508127198137525,-0.17981671626777662},
+{-1.1553891432318761,-0.8281798737781474,-0.5840875900252307,-0.45688079503287665,-0.38420988951503254,-0.33759372232578944,-0.30863387855323265,-0.2856012637949725,-0.2670883614018622,-0.2523594771919757,-0.24033256458202068,-0.23030982875600847,-0.22178970734515746,-0.2144464743429495,-0.20803386229107557,-0.20238248400863024,-0.1973569295153077,-0.19283795492028988,-0.1887657892393424,-0.1850452545458252,-0.1797824283449747},
+{-1.156016173045113,-0.8280589379327834,-0.5839069561510978,-0.45673857669116186,-0.38409647205053876,-0.3374996014717344,-0.3085594895598187,-0.28552794003431947,-0.2670223507160272,-0.2522992686612533,-0.24027700340272595,-0.23025804566645214,-0.22174105992887483,-0.21440047150550656,-0.20799012319858157,-0.20234070441506524,-0.19731686372663093,-0.192799405361322,-0.18872858730626363,-0.18500926415288754,-0.17974817417857603},
+{-1.1566408640434682,-0.8279374807353701,-0.583726339798209,-0.4565964332536789,-0.38398312888962605,-0.33740554704298076,-0.30848509481922315,-0.28545467000745983,-0.2669563898767837,-0.2522391059346124,-0.24022148447657155,-0.23020630189154767,-0.2216924493734166,-0.2143545034631169,-0.20794641713745665,-0.20229895632721318,-0.1972768281101802,-0.19276088479725684,-0.1886914133263098,-0.18497330077381013,-0.17971395363164033},
+{-1.1572632211632543,-0.827815504326665,-0.5835457413635017,-0.4564543647694879,-0.383869860002678,-0.3373115589908319,-0.3084106947382158,-0.2853814536737569,-0.266890478832871,-0.2521789889634497,-0.2401660077579728,-0.23015459738862765,-0.22164387563883936,-0.21430857017811356,-0.20790274407211762,-0.2022572397110849,-0.19723682263346953,-0.19272239319693085,-0.1886542672696423,-0.1849373643799812,-0.1796797665692098},
+{-1.157883249332055,-0.8276930108406306,-0.5833651612418222,-0.45631237128697094,-0.38375666535974173,-0.33721763726654175,-0.30833628972126703,-0.2853082909925463,-0.2668246175332746,-0.25211891769919725,-0.24011057320141072,-0.2301029321150807,-0.22159533868512415,-0.21426267161287882,-0.2078591039669191,-0.20221555453269047,-0.19719684726404263,-0.19268393052927135,-0.18861714910649874,-0.1849014549428396,-0.1796456128581685},
+{-1.1585009534687924,-0.8275700024044153,-0.5831845998259197,-0.4561704528539708,-0.38364354493083586,-0.3371237818213414,-0.3082618801703293,-0.28523518192297703,-0.2667588059268512,-0.25205889209335985,-0.2400551807614023,-0.23005130602834778,-0.22154683847240408,-0.21421680772979268,-0.20781549678631672,-0.20217390075815755,-0.19715690196945657,-0.19264549676320808,-0.18858005880706497,-0.18486557243382729,-0.1796114923673371},
+{-1.1591163384836718,-0.8274464811384125,-0.5830040575064303,-0.4560286095176278,-0.3835304986855862,-0.33702999260633937,-0.3081874664853509,-0.2851621264240619,-0.2666930439626408,-0.25199891209748504,-0.2399998303924903,-0.2299997190859654,-0.22149837496081248,-0.21417097849140554,-0.20777192249478882,-0.2021322783536681,-0.1971169867173561,-0.19260709186774028,-0.18854299634168914,-0.18482971682444038,-0.1795774049672061},
+{-1.1597294092782304,-0.8273224491562199,-0.5828235346719295,-0.4558868413244973,-0.38341752659353934,-0.33693626957263556,-0.3081130490635725,-0.2850891244547693,-0.26662733158967367,-0.251938977663156,-0.23994452204936834,-0.2299481712454624,-0.2214499481105685,-0.21412518386019785,-0.2077283810569397,-0.2020906872853525,-0.19707710147539825,-0.19256871581202528,-0.18850596168064704,-0.18479388808620723,-0.17954335053006587},
+{-1.1603401707453702,-0.8271979085647736,-0.5826430317089579,-0.4557451483205335,-0.38330462862410164,-0.3368426126712063,-0.3080386283000355,-0.28501617597392204,-0.2665616687571202,-0.25187908874197174,-0.23988925568664476,-0.22989666246442053,-0.22140155788189408,-0.21407942379877432,-0.20768487243729994,-0.20204912751947823,-0.19703724621126661,-0.19253036856503192,-0.18846895479432724,-0.18475808619066703,-0.1795093289298535},
+{-1.1609486277692778,-0.8270728614642127,-0.5824625490019811,-0.45560353055106995,-0.38319180474632597,-0.3367490218531666,-0.3079642045874553,-0.2849432809403245,-0.26649605541419197,-0.2518192452857062,-0.23983403125913905,-0.22984519270059756,-0.2213532042351738,-0.21403369826982144,-0.20764139660061942,-0.20200759902233179,-0.19699742089278205,-0.19249205009603254,-0.18843197565321046,-0.18472231110946824,-0.17947534004218113},
+{-1.1615547852255315,-0.8269473099479991,-0.5822820869334095,-0.4554619880608485,-0.3830790549292331,-0.336655497069423,-0.30788977831596964,-0.28487043931257305,-0.26643049151018017,-0.2517594472460901,-0.2397788487217234,-0.2297937619116821,-0.22130488713082486,-0.2139880072360424,-0.2075979535115433,-0.2019661017602874,-0.19695762548778273,-0.1924537603742269,-0.18839502422776855,-0.18468656281427953,-0.179441383744269},
+{-1.1621586479810597,-0.8268212561029296,-0.5821016458836179,-0.4553205208939708,-0.3829663791415311,-0.3365620382708028,-0.30781534987368164,-0.2847976510492377,-0.26636497699439887,-0.25169969457490327,-0.2397237080291379,-0.22974237005548348,-0.22125660652920065,-0.2139423506601581,-0.20755454313483113,-0.20192463569968244,-0.19691785996407885,-0.1924154993688436,-0.18835810048852553,-0.18465084127668963,-0.17940745991470375},
+{-1.162760220894148,-0.8266947020091064,-0.581921226230973,-0.4551791290939923,-0.3828537773517908,-0.33646864540819577,-0.3077409196460812,-0.2847249161087426,-0.2662995118162972,-0.25163998722398107,-0.23966860913640198,-0.22969101708978423,-0.22120836239086217,-0.2138967285050699,-0.20751116543530035,-0.20188320080698974,-0.19687812428959872,-0.19237726704924474,-0.18832120440606626,-0.18461514646848487,-0.1793735684336739},
+{-1.1633595088144768,-0.8265676497399906,-0.5817408283518011,-0.4550378127037906,-0.3827412495284107,-0.3363753184323698,-0.3076664880162828,-0.2846522344493928,-0.26623409592528435,-0.25158032514525186,-0.239613551998471,-0.22963970297250702,-0.22116015467632866,-0.21385114073358502,-0.20746782037783218,-0.2018417970486608,-0.19683841843230754,-0.19233906338477902,-0.18828433595096428,-0.18457947836132593,-0.17933970918275155},
+{-1.163956516583089,-0.8264401013624111,-0.581560452620442,-0.4548965717657286,-0.38262879563955776,-0.3362820572940928,-0.3075920553651884,-0.28457960602955445,-0.26616872927103286,-0.25152070829069273,-0.23955853657042137,-0.2295884276616461,-0.22111198334625892,-0.21380558730873234,-0.20742450792731026,-0.20180042439124968,-0.19679874236020156,-0.1923008883448991,-0.1882474950940063,-0.1845438369270327,-0.17930588204486408},
+{-1.164551249032436,-0.8263120589365905,-0.5813800994092142,-0.4547554063215864,-0.38251641565328465,-0.3361888619440826,-0.3075176220710427,-0.28450703080728834,-0.2661034118030198,-0.25146113661224734,-0.23950356280733154,-0.22953719111513304,-0.2210638483612808,-0.21376006819341864,-0.2073812280486933,-0.20175908280134425,-0.19675909604134034,-0.192262741899083,-0.18821068180577494,-0.18450822213735352,-0.17927208690439622},
+{-1.1651437109863918,-0.8261835245161397,-0.5811997690884652,-0.45461431641245764,-0.3824041095373687,-0.33609573233293843,-0.30744318851007035,-0.284434508740701,-0.2660381434710053,-0.2514016100620279,-0.23944863066432875,-0.22948599329103958,-0.22101574968215632,-0.21371458335073767,-0.2073379807069453,-0.20171777224552034,-0.19671947944378632,-0.19222462401679463,-0.18817389605707646,-0.18447263396416247,-0.17923832364680403},
+{-1.1657339072602018,-0.8260545001480959,-0.5810194620265469,-0.4544733020789712,-0.3822918772594419,-0.3360026684113039,-0.3073687550559264,-0.2843620397877913,-0.2659729242246982,-0.2513421285921369,-0.23939374009670433,-0.22943483414753607,-0.22096768726963445,-0.21366913274377985,-0.20729476586720885,-0.20167649269055854,-0.196679892535772,-0.1921865346677134,-0.18813713781875818,-0.18443707237927676,-0.179204592158962},
+{-1.166321842660563,-0.8259249878729404,-0.5808391785898378,-0.45433236336110383,-0.38217971878704327,-0.3359096701297035,-0.3072943220798475,-0.2842896239064505,-0.2659077540139525,-0.25128269215473775,-0.2393388910597405,-0.22938371364276433,-0.22091966108462802,-0.21362371633579103,-0.20725158349460093,-0.20163524410314948,-0.19664033528542402,-0.19214847382141498,-0.18810040706165565,-0.18440153735459308,-0.17917089232893946},
+{-1.1669075219855982,-0.8257949897246079,-0.5806589191427636,-0.45419150029826116,-0.38206763408738587,-0.3358167374386888,-0.30721988995079264,-0.28421726105447764,-0.2658426327886271,-0.2512233007020801,-0.239284083508711,-0.22933263173490614,-0.2208716710879839,-0.2135783340899069,-0.20720843355421592,-0.2015940264500471,-0.19660080766101196,-0.19211044144758738,-0.18806370375667947,-0.18436602886206632,-0.17913722404586085},
+{-1.1674909500248583,-0.8256645077304706,-0.5804786840477749,-0.4540507129293163,-0.3819556231276172,-0.3357238702887517,-0.30714545903523105,-0.28414495118961625,-0.26577756049869505,-0.2511639541864288,-0.23922931739909314,-0.22928158838232404,-0.22082371724071326,-0.21353298596952608,-0.20716531601133292,-0.20155283969812965,-0.19656130963087182,-0.1920724375159979,-0.18802702787474002,-0.18433054687362005,-0.17910358720017117},
+{-1.1680721315593596,-0.8255335439114657,-0.5802984736654037,-0.4539100012925277,-0.381843685874631,-0.3356310686302483,-0.30707102969746725,-0.28407269426953086,-0.26571253709412623,-0.25110465256009173,-0.23917459268628327,-0.22923058354327286,-0.22077579950376158,-0.21348767193791351,-0.20712223083111558,-0.20151168381422435,-0.1965218411633356,-0.1920344619963601,-0.18799037938690044,-0.184295091361244,-0.17906998168326038},
+{-1.1686510713615617,-0.8254021002819597,-0.580118288354218,-0.4537693654256244,-0.3817318222951388,-0.33553833241362685,-0.3069966022992767,-0.284000490251748,-0.26564756252502264,-0.251045395775503,-0.23911990932584914,-0.2291796171762266,-0.2207279178382846,-0.21344239195850534,-0.20707917797899666,-0.20147055876536757,-0.1964824022268281,-0.19199651485862357,-0.18795375826416905,-0.18425966229693946,-0.1790364073877333},
+{-1.1692277741954151,-0.8252701788499057,-0.5799381284708819,-0.4536288053657288,-0.3816200323558754,-0.33544566158919975,-0.3069221772000671,-0.2839283390938129,-0.2655826367415334,-0.25098618378507065,-0.23906526727334032,-0.2291286892396156,-0.22068007220533525,-0.2133971459947377,-0.20703615742031123,-0.20142946451845156,-0.19644299278973754,-0.19195859607261134,-0.1879171644775468,-0.18422425965278433,-0.1790028642071022},
+{-1.1698022448163172,-0.8251377816167564,-0.579757994370127,-0.45348832114941673,-0.38150831602309676,-0.33535305610730226,-0.3068477547569436,-0.28385624075311,-0.2655177596938829,-0.250927016541343,-0.2390106664843824,-0.22907779969193443,-0.22063226256618074,-0.21335193401019903,-0.20699316912044363,-0.20138840104060884,-0.1964036128205895,-0.19192070560828478,-0.18788059799829826,-0.18418888340086403,-0.1789693520360276},
+{-1.170374487971167,-0.8250049105775324,-0.5795778864047627,-0.4533479128127649,-0.3813966732631132,-0.33526051591820016,-0.30677333532451534,-0.2837841951869824,-0.26545293133231807,-0.25086789399683285,-0.23895610691473557,-0.2290269484917391,-0.22058448888198767,-0.2133067559684012,-0.20695021304490502,-0.20134736829882294,-0.19636426228801573,-0.19188284343560613,-0.1878440587975112,-0.18415353351325114,-0.17893587077007345},
+{-1.1709445083983645,-0.824871567720864,-0.5793978049257307,-0.4532075803912251,-0.3812851040420029,-0.3351680409720802,-0.30669891925528725,-0.28371220235274563,-0.26538815160724916,-0.2508088161042016,-0.23890158852007837,-0.22897613559769114,-0.2205367511141474,-0.21326161183303283,-0.20690728915918166,-0.2013063662603043,-0.1963249411605683,-0.19184500952464512,-0.18780754684646173,-0.18411820996217054,-0.17890242030585446},
+{-1.1715123108278012,-0.8247377550289356,-0.5792177502820266,-0.45306732391970106,-0.38117360832558955,-0.3350756312191441,-0.3066245068991761,-0.28364026220755534,-0.26532342046899016,-0.25074978281606797,-0.2388471112562508,-0.22892536096842497,-0.22048904922395018,-0.21321650156775607,-0.20686439742883533,-0.20126539489225226,-0.19628564940693205,-0.19180720384555716,-0.18777106211637928,-0.18408291271976962,-0.17886900054080845},
+{-1.1720778999808914,-0.8246034744775514,-0.5790377228208001,-0.4529271434326053,-0.38106218607971243,-0.3349832866095389,-0.30655009860382965,-0.28356837470854157,-0.26525873786802967,-0.25069079408519,-0.23879267507916024,-0.22887462456270047,-0.22044138317285444,-0.2131714251363499,-0.20682153781955193,-0.2012244541618493,-0.19624638699577268,-0.19176942636837735,-0.18773460457855373,-0.18404764175829524,-0.17883561137342863},
+{-1.1726412805705735,-0.8244687280361485,-0.5788577228873266,-0.45278703896373396,-0.3809508372698568,-0.33489100709337194,-0.30647569471454805,-0.2834965398128273,-0.2651941037549793,-0.25063184986439024,-0.23873827994472796,-0.2288239263393017,-0.22039375292228414,-0.21312638250263816,-0.20677871029696582,-0.20118354403648664,-0.1962071538959167,-0.1917316770633788,-0.18769817420444346,-0.18401239705003447,-0.17880225270305128},
+{-1.1732024573013045,-0.8243335176678122,-0.578677750824987,-0.45264701054641066,-0.38083956186147916,-0.3347987926207634,-0.30640129557411966,-0.28342475747737483,-0.26512951808037566,-0.250572950106421,-0.2386839258089808,-0.2287732662570876,-0.22034615843384908,-0.2130813736304602,-0.2067359148268071,-0.20114266448339446,-0.19616795007617993,-0.19169395590078442,-0.18766177096539538,-0.18397717856727458,-0.1787689244299564},
+{-1.1737614348691041,-0.8241978453293042,-0.5784978069753269,-0.45250705821337756,-0.38072835981982356,-0.33470664314169396,-0.3063269015233836,-0.2833530276591545,-0.26506498079493646,-0.25051409476429387,-0.2386296126279377,-0.22872264427496702,-0.2202985996691016,-0.2130363984837671,-0.20669315137486088,-0.20110181547005124,-0.19612877550542218,-0.19165626285089798,-0.1876253948328992,-0.18394198628246228,-0.1787356264551916},
+{-1.174318217961524,-0.8240617129710052,-0.578317891677995,-0.4523671819968147,-0.380617231109885,-0.3346145586061181,-0.3062525129004561,-0.28328135031500257,-0.2650004918493418,-0.2504552837908659,-0.23857534035773353,-0.22867206035188414,-0.22025107658965215,-0.21299145702649747,-0.20665041990694166,-0.2010609969638506,-0.19608963015256786,-0.19161859788408764,-0.18758904577842284,-0.18390682016787907,-0.1787023586806391},
+{-1.174872811257696,-0.8239251225370761,-0.5781380052708915,-0.4522273819284627,-0.38050617569671563,-0.33452253896410555,-0.30617813004130146,-0.2832097254017695,-0.26493605119440655,-0.250396517139184,-0.23852110895452316,-0.22862151444685375,-0.2202035891572336,-0.21294654922273337,-0.20660772038894937,-0.2010202089323001,-0.19605051398659334,-0.19158096097069977,-0.18755272377348398,-0.18387168019599187,-0.17866912100919086},
+{-1.1754252194283108,-0.823788075965338,-0.5779581480899629,-0.4520876580394263,-0.38039519354497775,-0.3344305841654728,-0.3061037532794818,-0.28313815287621014,-0.26487165878101304,-0.2503377947623515,-0.23846691837456957,-0.22857100651896656,-0.22015613733361072,-0.21290167503656088,-0.20656505278679171,-0.20097945134291773,-0.1960114269765456,-0.19154335208123396,-0.18751642878975305,-0.18383656633933398,-0.1786359133443296},
+{-1.1759754471356332,-0.8236505751873388,-0.577778320469444,-0.45194801036040244,-0.380284284619372,-0.3343386941602877,-0.30602938294624604,-0.2830666326950487,-0.2648073145601051,-0.25027911661351376,-0.2384127685742552,-0.2285205365274201,-0.22010872108064428,-0.21285683443216952,-0.20652241706650276,-0.20093872416333114,-0.19597236909155935,-0.19150577118618872,-0.18748016079888052,-0.18380147857048867,-0.17860273559055995},
+{-1.1765234990335274,-0.8235126221283868,-0.5775985227416354,-0.451808438921421,-0.38017344888424065,-0.3342468688982211,-0.30595501937057656,-0.28299516481492015,-0.2647430184826196,-0.2502204826457807,-0.23835865950978086,-0.22847010443132287,-0.2200613403600944,-0.21281202737366334,-0.20647981319404263,-0.20089802736113005,-0.19593334030067888,-0.19146821825605076,-0.18744391977251595,-0.18376641686194684,-0.17856958765292452},
+{-1.17706937976746,-0.8233742187075607,-0.5774187552371485,-0.4516689437521463,-0.38006268630392515,-0.33415510832919004,-0.30588066287913473,-0.28292374919244867,-0.2646787704996767,-0.2501618928124769,-0.2383045911377344,-0.228419710189943,-0.2200139951340052,-0.21276725382542527,-0.20643724113555884,-0.20085736090403494,-0.19589434057319655,-0.19143069326150375,-0.1874077056824175,-0.1837313811864303,-0.17853646943740564},
+{-1.177613093974493,-0.8232353668376979,-0.5772390182846909,-0.4515295248815787,-0.3799519968426164,-0.3340634124029691,-0.3058063137961765,-0.28285238578412564,-0.26461457056232773,-0.25010334706686765,-0.2382505634144627,-0.22836935376262613,-0.21996668536433228,-0.21272251375168083,-0.20639470085715028,-0.20081672475975343,-0.19585536987830654,-0.19139319617311523,-0.1873715185003617,-0.1836963715165718,-0.1785033808506975},
+{-1.1781546462833126,-0.8230960684254467,-0.5770593122112484,-0.45139018233828854,-0.37984138046424576,-0.33397178106936476,-0.3057319724437987,-0.28278107454654466,-0.26455041862185846,-0.2500448453623416,-0.23819657629663382,-0.22831903510870188,-0.21991941101311374,-0.21267780711686224,-0.20635219232501334,-0.20077611889609615,-0.19581642818535316,-0.19135572696163639,-0.18733535819822777,-0.1836613878252038,-0.17847032180019484},
+{-1.1786940413142382,-0.822956325371243,-0.5768796373419679,-0.45125091615038504,-0.37973083713266453,-0.33388021427811254,-0.3056576391415434,-0.28270981543607987,-0.2644863146294032,-0.24998638765232273,-0.23814262974079003,-0.22826875418761428,-0.21987217204244902,-0.21263313388533622,-0.2063097155053928,-0.20073554328083887,-0.19577751546369138,-0.19131828559775577,-0.18729922474784622,-0.1836264300850765,-0.17843729219411775},
+{-1.179231283679231,-0.8228161395693937,-0.576699994000281,-0.4511117263453296,-0.37962036681159883,-0.33378871197885696,-0.30558331420701734,-0.2826386084091733,-0.2644222585363746,-0.24992797389024313,-0.2380887237035585,-0.22821851095885926,-0.21982496841450083,-0.21258849402159496,-0.20626727036450232,-0.2006949978818422,-0.19573863168266903,-0.19128087205224742,-0.18726311812116236,-0.18359149826903431,-0.1784042919412776},
+{-1.1797663779818683,-0.8226755129080013,-0.5765203825077878,-0.45097261295020596,-0.37950996946452387,-0.3336972741213069,-0.3055089979553107,-0.2825674534221705,-0.2643582502941251,-0.24986960402970637,-0.2380348581417564,-0.22816830538193789,-0.21977780009150605,-0.21254388749020237,-0.2062248568687517,-0.2006544826670924,-0.19569977681184358,-0.19124348629602705,-0.1872270382901673,-0.18355659235003796,-0.17837132095129227},
+{-1.1802993288174173,-0.8225344472690519,-0.57634080318435,-0.4508335759915084,-0.3793996450549181,-0.33360590065511453,-0.30543469069924334,-0.28249635043139143,-0.264294289854099,-0.2498112780242736,-0.2379810330121359,-0.22811813741650533,-0.21973066703574595,-0.21249931425574897,-0.20618247498453313,-0.20061399760456533,-0.19566095082070856,-0.19120612829992245,-0.18719098522687805,-0.1835217123010715,-0.17833837913447215},
+{-1.1808301407727992,-0.8223929445284189,-0.5761612563480945,-0.4506946154952727,-0.37928939354595737,-0.3335145915298723,-0.3053603927494295,-0.2824252993931281,-0.2642303771678084,-0.249752995827619,-0.2379272482714785,-0.2280680070221457,-0.21968356920951937,-0.2124547742828442,-0.20614012467817444,-0.20057354266222305,-0.19562215367880453,-0.19116879803485842,-0.18715495890334855,-0.18348685809513365,-0.17830546640176048},
+{-1.1813588184266122,-0.8222510065558222,-0.5759817423153812,-0.4505557314870642,-0.3791792149007961,-0.3334233466952675,-0.30528610441407145,-0.28235430026359376,-0.2641665121868665,-0.24969475739348268,-0.23787350387681538,-0.22801791415866912,-0.21963650657526412,-0.21241026753621184,-0.20609780591626858,-0.2005331178081733,-0.19558338535583975,-0.19113149547184505,-0.18711895929168687,-0.18345202970538232,-0.17827258266484947},
+{-1.181885366349142,-0.8221086352149581,-0.5758022614008542,-0.4504169239919026,-0.37906910908239755,-0.33333216610075056,-0.305211825999407,-0.28228335299901297,-0.2641026948628886,-0.24963656267558054,-0.23781979978499468,-0.22796785878580472,-0.21958947909540383,-0.21236579398058275,-0.20605551866524974,-0.20049272301047827,-0.19554464582142073,-0.19109422058187153,-0.1870829863641037,-0.18341722710487107,-0.17823972783605013},
+{-1.182409789102367,-0.8219658323633621,-0.5756228139173911,-0.4502781930343601,-0.3789590760535064,-0.33324104969588353,-0.305137557809128,-0.2822124575555137,-0.26403892514758254,-0.2495784116277946,-0.23776613595314244,-0.22791784086336686,-0.21954248673244936,-0.21232135358078263,-0.20601326289177813,-0.2004523582373703,-0.19550593504535163,-0.19105697333601968,-0.18704704009273976,-0.1833824502668624,-0.17820690182836252},
+{-1.1829320912399632,-0.8218225998525776,-0.5754434001762032,-0.450139538638476,-0.37884911577692515,-0.33314999743021256,-0.30506330014479044,-0.2821416138892495,-0.26397520299275,-0.24952030420401794,-0.23771251233826485,-0.22786786035131956,-0.2194955294489791,-0.2122769463016385,-0.20597103856244603,-0.20041202345705034,-0.1954672529973953,-0.19101975370543856,-0.187011120449865,-0.18334769916464322,-0.1781741045555043},
+{-1.1834522773073417,-0.8216789395280596,-0.5752640204867585,-0.45000096082783536,-0.37873922821510775,-0.3330590092531892,-0.3049890533056985,-0.28207082195628597,-0.2639115283502167,-0.2494622403582074,-0.23765892889752904,-0.2278179172095547,-0.2194486072076225,-0.21223257210808377,-0.20592884564389635,-0.20037171863777847,-0.19542859964736992,-0.19098256166125904,-0.18697522740777117,-0.18331297377148692,-0.17814133593180204},
+{-1.1839703518416134,-0.8215348532292471,-0.5750846751567811,-0.44986245962556126,-0.3786294133304833,-0.33296808511435716,-0.3049148175888502,-0.2820000817126732,-0.2638479011719004,-0.24940422004434426,-0.23760538558819855,-0.22776801139813552,-0.21940171997104363,-0.21218823096506645,-0.2058866841029119,-0.20033144374784717,-0.1953899749652408,-0.19094539717466197,-0.18693936093880525,-0.18327827406079789,-0.17810859587219174},
+{-1.184486319371656,-0.8213903427895739,-0.5749053644923807,-0.4497240350542312,-0.37851967108534035,-0.33287722496305694,-0.30484059328921576,-0.2819293931144745,-0.26378432140978636,-0.24934624321652898,-0.23755188236744162,-0.2277181428771089,-0.21935486770200074,-0.21214392283759276,-0.20584455390621303,-0.20029119875563373,-0.19535137892090626,-0.19090826021697294,-0.18690352101535535,-0.18324360000598938,-0.1780758842923691},
+{-1.1850001844180569,-0.8212454100364458,-0.5747260887979175,-0.4495856871360493,-0.3784100014417354,-0.3327864287487423,-0.3047663806993901,-0.28185875611763445,-0.26372078901590434,-0.24928830982890737,-0.2374984191926397,-0.2276683116066489,-0.21930805036329137,-0.21209964769075396,-0.2058024550206481,-0.20025098362959204,-0.19531281148440716,-0.19087115075948047,-0.18686770760981397,-0.18320895158055595,-0.17804320110852756},
+{-1.1855119514931791,-0.8211000567913084,-0.574546848376066,-0.44944741589262316,-0.3783004043617527,-0.3326956964208385,-0.3046921801097535,-0.2817881706781019,-0.2636573039423298,-0.24923041983566296,-0.23744499602115776,-0.22761851754691764,-0.2192612679177588,-0.21205540548966528,-0.20576038741311642,-0.2002107983381829,-0.19527427262579855,-0.19083406877352926,-0.18683192069465315,-0.18317432875802697,-0.17801054623766954},
+{-1.1860216251011444,-0.8209542848696079,-0.5743676435278631,-0.4493092213451759,-0.37819087980720967,-0.3326050279286551,-0.3046179918085431,-0.2817176367518889,-0.2635938661412993,-0.24917257319103392,-0.23739161281046028,-0.22756876065819442,-0.21921452032832422,-0.21201119619953346,-0.2057183510505285,-0.20017064284990438,-0.1952357623151919,-0.19079701423054662,-0.18679616024244905,-0.1831397315120571,-0.17797791959733544},
+{-1.1865292097378537,-0.8208080960808557,-0.5741884745526684,-0.4491711035144782,-0.37808142773985065,-0.3325144232216666,-0.3045438160816377,-0.2816471542947987,-0.2635304755650101,-0.24911476984934056,-0.2373382695180526,-0.2275190409008223,-0.2191678075579926,-0.21196701978553412,-0.20567634589986872,-0.20013051713334806,-0.19519728052276464,-0.19075998710195008,-0.18676042622571143,-0.1831051598162352,-0.17794532110572958},
+{-1.187034709890981,-0.8206614922286339,-0.5740093417481832,-0.4490330624207579,-0.3779720481212646,-0.33242388224909036,-0.3044696532130544,-0.28157672326278615,-0.2634671321658091,-0.24905700976495293,-0.23728496610146177,-0.22746935823514947,-0.2191211295697688,-0.211922876212969,-0.2056343719281546,-0.20009042115714593,-0.19515882721872546,-0.19072298735922866,-0.1867247186170855,-0.18307061364427968,-0.17791275068166912},
+{-1.1875381300399934,-0.8205144751105283,-0.5738302454103913,-0.44889509808381456,-0.37786274091288374,-0.3323334049602442,-0.30439550348432265,-0.2815063436116716,-0.2634038358959916,-0.24899929289233147,-0.23723170251833348,-0.2274197126216384,-0.21907448632677196,-0.2118787654471772,-0.20559242910249464,-0.2000503548900101,-0.1951204023733739,-0.19068601497402415,-0.18668903738917542,-0.1830360929699213,-0.17788020824460182},
+{-1.1880394746561822,-0.8203670465183039,-0.5736511858337476,-0.44875721052303885,-0.3777535060761741,-0.33224299130452983,-0.30432136717498115,-0.2814360152972941,-0.2633405867080889,-0.24894161918596502,-0.23717847872636044,-0.2273701040207976,-0.21902787779216193,-0.21183468745356615,-0.20555051739004893,-0.20001031830066918,-0.1950820059570333,-0.19064906991785557,-0.1866533825147103,-0.18300159776701141,-0.17784769371463738},
+{-1.1885387482026386,-0.8202192082377676,-0.5734721633109896,-0.44861939975726084,-0.3776443435721917,-0.33215264123105914,-0.30424724456223284,-0.2813657382754269,-0.2632773845545151,-0.24888398860032823,-0.23712529468323829,-0.22732053239314554,-0.21898130392909132,-0.2117906421975153,-0.20550863675792153,-0.19997031135786347,-0.19504363794005264,-0.19061215216239735,-0.186617753966428,-0.18296712800931303,-0.17781520701247922},
+{-1.1890359551342764,-0.8200709620488696,-0.5732931781332822,-0.4484816658049804,-0.3775352533621391,-0.3320623546892877,-0.30417313592121864,-0.28129551250186147,-0.2632142293879238,-0.24882640109010778,-0.23707215034685025,-0.22727099769942494,-0.21893476470092232,-0.21174662964457536,-0.2054667871734177,-0.19993033403052496,-0.19500529829290003,-0.19057526167935035,-0.18658215171713421,-0.18293268367081006,-0.17778274805953442},
+{-1.1895310998978446,-0.8199223097256491,-0.5731142305900834,-0.4483440086841115,-0.37742623540689757,-0.33197213162826344,-0.3040990415249659,-0.2812253379323557,-0.2631511211608557,-0.248768856609894,-0.23701904567491394,-0.2272214999001556,-0.21888826007089635,-0.21170264976021547,-0.2054249686037859,-0.19989038628745637,-0.1949669869859776,-0.190538398440391,-0.18654657573964872,-0.1828982647253372,-0.1777503167777028},
+{-1.1900241869319337,-0.8197732530363542,-0.5729353209693091,-0.4482064284122713,-0.3773172896673259,-0.33188197199729996,-0.30402496164437776,-0.28115521452264236,-0.2630880598260641,-0.2487113551145288,-0.2369659806254727,-0.22717203895620774,-0.21884179000245685,-0.21165870251010221,-0.20538318101640063,-0.19985046809766738,-0.1949287039899259,-0.19050156241741578,-0.1865110260068954,-0.18286387114703362,-0.1777179130895592},
+{-1.190515220667008,-0.819623793743306,-0.5727564495572645,-0.44806892500650075,-0.3772084161042185,-0.3317918757456292,-0.3039508965481099,-0.2810851422284424,-0.26302504533626947,-0.2486538965586782,-0.23691295515644462,-0.22712261482840201,-0.21879535445907972,-0.21161478785987953,-0.2053414243786542,-0.19981057943019076,-0.19489044927528054,-0.19046475358220105,-0.18647550249175637,-0.18282950290981193,-0.17768553691845757},
+{-1.1910042055253536,-0.8194739336030804,-0.5725776166386367,-0.4479314984834494,-0.3770996146780715,-0.331701842822419,-0.30387684650280855,-0.2810151210054932,-0.26296207764439283,-0.24859648089727737,-0.2368599692259037,-0.2270732274775702,-0.21874895340423306,-0.21157090577523419,-0.20529969865801756,-0.19977072025407572,-0.19485222281269676,-0.19042797190667615,-0.18644000516731074,-0.1827951599878308,-0.17765318818811826},
+{-1.1914911459211668,-0.819323674366381,-0.5723988224965224,-0.4477941488593635,-0.37699088534940073,-0.3316118731768948,-0.3038028117727932,-0.2809451508094172,-0.2628991567032317,-0.24853910808519641,-0.236807022791921,-0.22702387686465886,-0.21870258680152044,-0.21152705622190715,-0.2052580038219709,-0.19973089053844562,-0.19481402457288288,-0.19039121736278908,-0.18640453400650459,-0.18276084235519496,-0.17762086682313627},
+{-1.1919760462605378,-0.819173017778138,-0.5722200674124288,-0.44765687614996397,-0.37688222807854155,-0.3315219667581526,-0.30372879262059393,-0.2808752315958818,-0.26283628246576174,-0.24848177807736715,-0.2367541158126032,-0.226974562950635,-0.21865625461456362,-0.21148323916568823,-0.20521633983801668,-0.19969109025241316,-0.1947758545265066,-0.1903544899224181,-0.18636908898243298,-0.1827265499860684,-0.17758857274855555},
+{-1.1924589109414105,-0.8190219655774842,-0.5720413516662892,-0.4475196803706304,-0.37677364282570736,-0.33143212351536044,-0.30365478930646694,-0.28080536332055006,-0.26277345488501913,-0.24842449082884843,-0.2367012482462385,-0.22692528569658021,-0.21860995680705875,-0.21143945457245694,-0.20517470667384452,-0.19965131936530556,-0.19473771264438344,-0.1903177895577406,-0.1863336700682372,-0.18269228285468864,-0.17755630589010818},
+{-1.1929397443536562,-0.8188705194977646,-0.5718626755364862,-0.447382561536236,-0.37666512955110654,-0.3313423433977003,-0.3035808020885491,-0.2807355459390728,-0.2627106739140821,-0.2483672462946922,-0.2366484200510801,-0.22687604506363135,-0.21856369334277947,-0.21139570240817562,-0.20513310429706033,-0.19961157784645334,-0.19469959889741384,-0.19028111624078248,-0.1862982772371169,-0.18265804093540483,-0.1775240661742532},
+{-1.193418550879066,-0.818718681266593,-0.5716840392997891,-0.44724551966124015,-0.3765566882146508,-0.3312526263542437,-0.3035068312229562,-0.28066577940701687,-0.26264793950608945,-0.24831004443004967,-0.23659563118537186,-0.2268268410129275,-0.21851746418552742,-0.21135198263872645,-0.20509153267534486,-0.19957186566506935,-0.19466151325638004,-0.19024446994361943,-0.18626291046223464,-0.1826238242024174,-0.17749185352790375},
+{-1.193895334891339,-0.8185664526057913,-0.5715054432314819,-0.4471085547597624,-0.3764483187762562,-0.3311629723342493,-0.30343287696363985,-0.2805960636800353,-0.26258525161425705,-0.24825288519017708,-0.2365428816075954,-0.22677767350579714,-0.21847126929922478,-0.21130829523019923,-0.20504999177654604,-0.1995321827906562,-0.19462345569234785,-0.19020785063852297,-0.1862275697169642,-0.18258963263021277,-0.17745966787883494},
+{-1.1943701007561325,-0.8184138352315282,-0.5713268876052752,-0.44697166684535206,-0.37634002119570975,-0.33107338128664954,-0.3033589395627132,-0.2805263987136868,-0.2625226101918612,-0.24819576853019165,-0.23649017127613514,-0.22672854250342755,-0.21842510864775844,-0.2112646401485978,-0.20500848156836882,-0.19949252919259353,-0.19458542617615993,-0.19017125829763204,-0.1861922549745194,-0.18255546619312923,-0.17742750915525973},
+{-1.1948428528310167,-0.8182608308541219,-0.5711483726932653,-0.4468348559312453,-0.37623179543258656,-0.33098385316061074,-0.3032850192700207,-0.28045678446353484,-0.2624600151922114,-0.2481386944055175,-0.23643750014952825,-0.2266794479672365,-0.21837898219517982,-0.2112210173600928,-0.20496700201873508,-0.1994529048404996,-0.19454742467896025,-0.19013469289324392,-0.18615696620831046,-0.18252132486566253,-0.1773953772862158},
+{-1.1953135954655505,-0.818107441178302,-0.5709698987661397,-0.44669812203020043,-0.37612364144660193,-0.3308943879052517,-0.3032111163334201,-0.2803872208851814,-0.26239746656871055,-0.24808166277148525,-0.2363848681862828,-0.22663038985870254,-0.21833288990552613,-0.21117742683082263,-0.2049255530954881,-0.19941330970387217,-0.19450945117182128,-0.19009815439768474,-0.1861217033917244,-0.18248720862236656,-0.17736327220125303},
+{-1.195782333001235,-0.8179536679030471,-0.570791466092965,-0.4465614651545746,-0.37601555919703356,-0.33080498546958226,-0.30313723099875656,-0.2803177079341632,-0.26233496427484115,-0.24802467358355318,-0.23633227534501478,-0.2265813681392428,-0.2182868317429525,-0.21113386852704608,-0.20488413476662948,-0.19937374375240324,-0.19447150562581372,-0.19006164278331283,-0.18608646649824911,-0.18245311743776438,-0.17733119383071583},
+{-1.196249069771564,-0.8177995127216453,-0.5706130749413073,-0.4464248853163658,-0.37590754864328046,-0.33071564580283364,-0.3030633635097466,-0.2802482455660542,-0.26227250826408244,-0.24796772679717272,-0.23627972158445987,-0.22653238277044307,-0.21824080767164244,-0.21109034241504498,-0.20484274700015592,-0.19933420695570603,-0.19443358801216815,-0.19002515802248454,-0.1860512555013918,-0.18241905128644142,-0.17729914210551656},
+{-1.1967138101020023,-0.8176449773217681,-0.5704347255772714,-0.4462883825270464,-0.3757996097445808,-0.3306263688538683,-0.3029895141083492,-0.2801788337363387,-0.2622100984900435,-0.2479108223679145,-0.2362272068632545,-0.2264834337138837,-0.2181948176558488,-0.2110468484611101,-0.20480138976410545,-0.19929469928356824,-0.19439569830210113,-0.18998870008768098,-0.18601607037468404,-0.18238501014312725,-0.17726711695725217},
+{-1.1971765583100136,-0.8174900633853397,-0.5702564182653634,-0.44615195679780495,-0.3756917424599512,-0.33053715457181954,-0.3029156830342459,-0.2801094724005768,-0.26214773490631704,-0.24785396025137763,-0.23617473114023824,-0.2264345209312879,-0.21814886165988034,-0.21100338663165474,-0.2047600630265609,-0.19925522070578072,-0.19435783646688498,-0.1899522689514328,-0.18598091109173076,-0.1823509939824457,-0.17723511831816818},
+{-1.19763731870508,-0.8173347725887243,-0.5700781532686816,-0.44601560813933805,-0.37558394674849793,-0.33044800290578247,-0.3028418705252667,-0.28004016151428157,-0.2620854174666001,-0.2477971404032091,-0.2361222943742236,-0.22638564438432196,-0.21810293964812555,-0.2109599568931253,-0.20471876675568135,-0.19921577119224243,-0.1943200024778653,-0.18991586458623289,-0.18594577762612596,-0.18231700277916674,-0.17720314612124843},
+{-1.198096095588677,-0.817179106602614,-0.5698999308487618,-0.4458793365619079,-0.37547622256907165,-0.33035891380475946,-0.3027680768172276,-0.2799709010330176,-0.2620231461247,-0.24774036277919098,-0.23606989652413213,-0.22633680403485834,-0.21805705158502398,-0.21091655921204788,-0.20467750091969217,-0.1991763507128359,-0.19428219630640498,-0.18987948696470558,-0.18591066995163796,-0.18228303650811117,-0.17717120030007893},
+{-1.1985528932543374,-0.8170230670920794,-0.5697217512656996,-0.44574314207553745,-0.3753685698804763,-0.33026988721787387,-0.3026943021438038,-0.2799016909122476,-0.26196092083438915,-0.24768362733505978,-0.23601753754893018,-0.22628799984473535,-0.218011197435112,-0.21087319355487155,-0.20463626548680125,-0.1991369592375214,-0.19424441792394975,-0.18984313605945213,-0.18587558804195825,-0.18224909514413268,-0.17713928078891916},
+{-1.199007715987618,-0.816866655716622,-0.5695436147781211,-0.4456070246896717,-0.3752609886414334,-0.33018092309403657,-0.30262054673704664,-0.27983253110752115,-0.2618987415495524,-0.24762693402663816,-0.2359652174075897,-0.22623923177585858,-0.21796537716289577,-0.21082985988826097,-0.20459506042533238,-0.1990975967363673,-0.19420666730195202,-0.18980681184314263,-0.18584053187085825,-0.18221517866210357,-0.17710738752268718},
+{-1.1994605680660888,-0.8167098741300665,-0.5693655216430806,-0.4454709844134217,-0.37515347881041883,-0.33009202138228333,-0.30254681082681456,-0.2797634215743243,-0.26183660822412347,-0.24757028280989934,-0.23591293605924246,-0.2261904997902171,-0.21791959073304001,-0.21078655817883019,-0.20455388570360133,-0.19905826317941067,-0.1941689444119712,-0.18977051428859593,-0.18580550141218133,-0.18218128703694192,-0.17707552043681818},
+{-1.199911453759449,-0.81655272398075,-0.5691874721163239,-0.4453350212555318,-0.37504604034609634,-0.3300031820317767,-0.3024730946410541,-0.27969436226817557,-0.26177452081209585,-0.24751367364074994,-0.23586069346297034,-0.22614180384985216,-0.21787383811028516,-0.21074328839330536,-0.20451274129007646,-0.19901895853686735,-0.1941312492255607,-0.18973424336849454,-0.18577049663982792,-0.18214742024369812,-0.17704367946760047},
+{-1.2003603773294043,-0.8163952069113947,-0.569009466452023,-0.44519913522431465,-0.37493867320669294,-0.32991440499135904,-0.30239939840575203,-0.2796253531445487,-0.2617124792674508,-0.24745710647522512,-0.2358084895779704,-0.22609314391685853,-0.21782811925923107,-0.2107000504984171,-0.20447162715310818,-0.1989796827788537,-0.194093581714333,-0.18969799905569396,-0.1857355175276456,-0.18211357825726204,-0.17701186455166562},
+{-1.20080734302977,-0.8162373245591641,-0.568831504902949,-0.44506332632778234,-0.37483137735059735,-0.3298256902102593,-0.3023257223449509,-0.2795563941589876,-0.26165048354436693,-0.24740058126939268,-0.23575632436351057,-0.22604451995344488,-0.21778243414484355,-0.2106568444609771,-0.20443054326122834,-0.19894043587570187,-0.19405594185000807,-0.18966178132311273,-0.18570056404969382,-0.18207976105291745,-0.1769800756264872},
+{-1.201252355106438,-0.8160790785556817,-0.5686535877203821,-0.4449275945733624,-0.3747241527359503,-0.3297370376372981,-0.30225206668092874,-0.27948748526697687,-0.2615885335969357,-0.24734409797937973,-0.235704197778843,-0.22599593192177436,-0.21773678273187724,-0.210613670247763,-0.20438948958296943,-0.19890121779762948,-0.1940183296042346,-0.18962559014357483,-0.1856656361799458,-0.18204596860560596,-0.1769483126299325},
+{-1.2016954177974046,-0.8159204705270536,-0.568475715154224,-0.44479193996834687,-0.37461699932082193,-0.32964844722152353,-0.30217843163397085,-0.27941862642406634,-0.26152662937943205,-0.24728765656142748,-0.23565210978338924,-0.22594737978418156,-0.21769116498532104,-0.21057052782577745,-0.20434846608697965,-0.19886202851504686,-0.1939807449488824,-0.1895894254900896,-0.18563073389244278,-0.1820122008906193,-0.17691657550043338},
+{-1.2021365353327744,-0.8157615020938267,-0.5682978874528953,-0.4446563625194475,-0.3745099170632945,-0.3295599189120568,-0.3021048174223895,-0.2793498175856859,-0.26146477084607267,-0.24723125697176718,-0.23560006033650294,-0.22589886350301125,-0.21764558087016495,-0.2105274171619036,-0.20430747274184657,-0.19882286799842275,-0.1939431878557476,-0.18955328733577104,-0.1855958571613705,-0.18197845788316958,-0.17688486417709726},
+{-1.202575711934769,-0.8156021748710962,-0.568120104863453,-0.44452086223308285,-0.3744029059211895,-0.3294714526578302,-0.3020312242627148,-0.279281058707455,-0.26140295795123225,-0.24717489916673818,-0.2355480493977733,-0.2258503830406644,-0.21760003035143693,-0.21048433822316626,-0.2042665095162941,-0.19878373621817835,-0.19390565829668716,-0.18951717565360449,-0.18556100596086544,-0.18194473955848767,-0.17685317859938565},
+{-1.2030129518177468,-0.8154424904684073,-0.5679423676314497,-0.44438543911533623,-0.37429596585236247,-0.32938304840792343,-0.3019576523694616,-0.2792123497448129,-0.2613411906492322,-0.24711858310271206,-0.23549607692667718,-0.22580193835964013,-0.21755451339424248,-0.21044129097661934,-0.2042255763791374,-0.19874463314486857,-0.19386815624367926,-0.18948109041670103,-0.18552618026512424,-0.18191104589196527,-0.17682151870737317},
+{-1.2034482591882132,-0.8152824504898588,-0.5677646760011239,-0.44425009317178454,-0.3741890968144964,-0.329294706111259,-0.3018841019555003,-0.2791436906533358,-0.261279468894559,-0.24706230873606172,-0.23544414288275695,-0.225753529422406,-0.21750902996374477,-0.21039827538932654,-0.20418467329907508,-0.19870555874906803,-0.1938306816685902,-0.18944503159823856,-0.18549138004845855,-0.1818773768589439,-0.17678988444148902},
+{-1.2038816382447919,-0.8151220565340709,-0.5675870302152035,-0.44411482440775674,-0.37408229876517907,-0.3292064257168461,-0.30181057323172134,-0.2790750813885292,-0.2612177926416639,-0.2470060760233812,-0.23539224722572927,-0.22570515619162523,-0.21746358002515964,-0.2103552914284501,-0.20414380024503065,-0.19866651300142535,-0.1937932345436002,-0.18940899917147558,-0.1854566052851525,-0.1818437324348403,-0.1767582757427011},
+{-1.2043130931783144,-0.8149613101941835,-0.5674094305151082,-0.44397963282813413,-0.3739755716620561,-0.32911820717377793,-0.3017370664071324,-0.27900652190599073,-0.2611561618451155,-0.24694988492119974,-0.2353403899153237,-0.2256568186299286,-0.21741816354384702,-0.21031233906122737,-0.2041029571859918,-0.19862749587271433,-0.1937558148407046,-0.1893729931096586,-0.18542185594961436,-0.1818101125952165,-0.17672669255248485},
+{-1.2047426281717506,-0.8148002130579277,-0.5672318771408321,-0.4438445184374481,-0.3738689154624245,-0.32903005043097866,-0.30166358168898366,-0.27893801216119796,-0.2610945764594874,-0.24689373538612647,-0.235288570911258,-0.22560851669996906,-0.21737278048501718,-0.2102694182549003,-0.20406214409078283,-0.1985885073336,-0.19371842253198102,-0.18933701338606745,-0.18538713201615997,-0.1817765173155148,-0.1766951348124921},
+{-1.205170247400269,-0.8146387667075669,-0.5670543703309645,-0.44370948123993414,-0.3737623301237537,-0.3289419554376134,-0.3015901192825927,-0.27886955210976394,-0.2610330364394895,-0.24683762737485004,-0.2352367901734358,-0.22556025036465477,-0.21732743081418326,-0.21022652897674,-0.20402136092856105,-0.1985495473549066,-0.1936810575897452,-0.18930105997413604,-0.185352433459413,-0.18174294657136691,-0.17666360246511426},
+{-1.2055959550312252,-0.8144769727199702,-0.5668769103227523,-0.44357452123930863,-0.373655815603227,-0.32885392214253706,-0.30151667939167015,-0.27880114170728376,-0.26097154173976533,-0.24678156084407243,-0.23518504766164194,-0.2255120195866842,-0.21728211449671986,-0.21018367119407877,-0.20398060766833703,-0.19851061590748742,-0.1936437199860701,-0.18926513284719126,-0.1853177602537721,-0.18170940033840366,-0.17663209545288394},
+{-1.2060197552241845,-0.8143148326665715,-0.56669949735204,-0.44343963843911416,-0.37354937185797454,-0.3287659504948095,-0.3014432622179819,-0.2787327809092581,-0.26091009231509066,-0.2467255357506677,-0.2351333433359304,-0.22546382432902567,-0.21723683149818607,-0.21014084487440488,-0.20393988427929255,-0.19847171296225352,-0.19360640969335963,-0.18922923197877162,-0.18528311237382633,-0.18167587859229317,-0.176600613718767},
+{-1.2064416521309123,-0.8141523481134274,-0.5665221316533382,-0.44330483284235067,-0.37344299884526155,-0.3286780404434937,-0.3013698679614971,-0.27866446967137204,-0.26084868812034046,-0.2466695520514206,-0.23508167715623585,-0.22541566455463147,-0.2171915817840817,-0.2100980499850944,-0.20389919073058826,-0.19843283849020987,-0.19356912668384196,-0.18919335734232012,-0.18524848979420372,-0.18164238130880372,-0.1765691572061836},
+{-1.2068616498954226,-0.8139895206212114,-0.5663448134597656,-0.4431701044518027,-0.37333669652192614,-0.32859019193755756,-0.30129649682041637,-0.2785962079491999,-0.26078732911033065,-0.24661360970334534,-0.23503004908261693,-0.22536754022648386,-0.21714636532012443,-0.21005528649371064,-0.20385852699148277,-0.19839399246235745,-0.19353187092991275,-0.18915750891143168,-0.18521389248952191,-0.1816089084637258,-0.17653772585892047},
+{-1.2072797526539316,-0.8138263517452069,-0.5661675430030706,-0.4430354532698574,-0.37323046484494715,-0.3285024049261476,-0.301223148991153,-0.2785279956983555,-0.26072601524000194,-0.2465577086633357,-0.2349784590752657,-0.22531945130771036,-0.21710118207191376,-0.21001255436778865,-0.2038178930313197,-0.19835517484975784,-0.19349464240399739,-0.18912168665969253,-0.18517932043453222,-0.1815754600328845,-0.17650631962101992},
+{-1.2076959645349399,-0.8136628430353435,-0.5659903205137526,-0.442900879298466,-0.37312430377116357,-0.3284146793581524,-0.3011498246684752,-0.27845983287452425,-0.26066474646433635,-0.24650184888849558,-0.23492690709427522,-0.22527139776138183,-0.2170560320052537,-0.2099698535749308,-0.20377728881944956,-0.1983163856235366,-0.19345744107857565,-0.18908589056076042,-0.18514477360397397,-0.1815420359922526,-0.17647493843702744},
+{-1.2081102896591738,-0.8134989960362217,-0.5658131462208277,-0.44276638253937883,-0.3730182132572497,-0.3283270151826547,-0.3010765240453346,-0.27839171943332164,-0.26060352273836607,-0.24644603033593215,-0.23487539309995453,-0.22522337955074878,-0.21701091508587567,-0.20992718408281852,-0.2037367143252895,-0.19827762475484478,-0.19342026692609382,-0.18905012058831439,-0.18511025197260778,-0.1815086363176921,-0.1764435822516972},
+{-1.2085227321396332,-0.813334812287073,-0.565636020352091,-0.4426319629938792,-0.3729121932600161,-0.32823941234872356,-0.3010032473129387,-0.27832365533041625,-0.2605423440171888,-0.24639025296276196,-0.23482391705252348,-0.22517539663902997,-0.21696583127966007,-0.20988454585919714,-0.2036961695183579,-0.19823889221497404,-0.19338311991917956,-0.1890143767161323,-0.1850757555152971,-0.18147526098521438,-0.17641225101026992},
+{-1.2089332960816075,-0.8131702933218479,-0.5654589431339814,-0.4424976206629174,-0.3728062437359073,-0.3281518708053568,-0.30092999466070336,-0.27825564052155904,-0.26048121025596127,-0.2463345167262787,-0.23477247891243258,-0.22512744898957737,-0.21692078055247777,-0.20984193887180114,-0.20365565436813737,-0.19820018797511318,-0.19334600003039082,-0.18897865891795962,-0.1850412842069229,-0.1814419099708724,-0.17638094465821963},
+{-1.2093419855826575,-0.8130054406691523,-0.565281914791563,-0.4423633555471892,-0.37270036464153133,-0.3280643905017464,-0.3008567662763133,-0.27818767496238705,-0.2604201214098507,-0.24627882158374637,-0.23472107864005087,-0.2250795365657674,-0.21687576287035526,-0.20979936308852376,-0.20361516884427733,-0.19816151200665466,-0.19330890723238858,-0.1889429671676499,-0.18500683802242546,-0.1814085832508021,-0.176349663141534},
+{-1.2097488047326517,-0.8128402558523213,-0.5651049355486749,-0.442229167646938,-0.37259455593328805,-0.3279769713867937,-0.3007835623460633,-0.27811975860868343,-0.26035907743420217,-0.24622316749251794,-0.23466971619582222,-0.2250316593310162,-0.216830778199252,-0.20975681847714522,-0.2035747129164478,-0.19812286428096848,-0.1932718414978727,-0.18890730143910606,-0.18497241693675903,-0.18137528080111553,-0.17631840640646623},
+{-1.2101537576137533,-0.8126747403893502,-0.5649280056277288,-0.44209505696213447,-0.3724888175674206,-0.32788961340955414,-0.3007103830541831,-0.27805189141617004,-0.2602980782842199,-0.2461675544100359,-0.2346183915402953,-0.22498381724884542,-0.2167858265052529,-0.20971430500567,-0.2035342865543226,-0.19808424476944775,-0.1932348027996269,-0.1888716617062811,-0.18493802092497424,-0.18134200259798638,-0.17628717439960373},
+{-1.2105568483004752,-0.8125088957930421,-0.5647511252499244,-0.441961023492349,-0.372383149500387,-0.327802316519223,-0.3006372285833665,-0.2779840733405876,-0.26023712391531206,-0.24611198229372278,-0.23456710463404784,-0.22493601028281263,-0.21674090775450972,-0.2096718226420753,-0.20349388972774607,-0.19804565344360459,-0.19319779111036972,-0.18883604794312436,-0.1849036499621055,-0.18130874861771828,-0.17625596706800062},
+{-1.2109580808596467,-0.8123427235709004,-0.5645742946351787,-0.44182706723689735,-0.37227755168826926,-0.32771508066477306,-0.3005640991146268,-0.27791630433774483,-0.2601762142828914,-0.24605645110116248,-0.23451585543775577,-0.22488823839650096,-0.21669602191314508,-0.2096293713543922,-0.20345352240649195,-0.19800709027496,-0.19316080640299282,-0.1888004601236568,-0.18486930402326474,-0.18127551883648874,-0.17622478435897815},
+{-1.2113574593504128,-0.812176225225186,-0.5643975140020676,-0.44169318819478076,-0.37217202408724037,-0.32762790579547807,-0.3004909948272918,-0.27784858436347704,-0.26011534934253233,-0.2460009607899889,-0.23446464391216582,-0.2248405015536994,-0.21665116894747238,-0.20958695111075087,-0.2034131845605196,-0.19796855523511026,-0.19312384865037213,-0.18876489822206444,-0.18483498308364932,-0.18124231323078432,-0.17619362622040846},
+{-1.2117549878243112,-0.8120094022529046,-0.5642207835678514,-0.44155938636446446,-0.37206656665330484,-0.32754079186020535,-0.30041791589908806,-0.27778091337355826,-0.26005452904963966,-0.2459455113177902,-0.23441347001791457,-0.22479279971803523,-0.21660634882369112,-0.209544561879224,-0.2033728761597271,-0.197930048295629,-0.19308691782544485,-0.1887293622123165,-0.18480068711841224,-0.18120913177680986,-0.17616249260030892},
+{-1.2121506703252118,-0.8118422561458741,-0.5640441035485918,-0.44142566174438425,-0.3719611793424229,-0.3274537388081189,-0.30034486250613424,-0.2777132913238842,-0.25999375335986996,-0.24589010264237277,-0.2343623337159284,-0.22474513285334785,-0.21656156150822992,-0.20950220362807825,-0.20333259717420837,-0.19789156942824793,-0.19305001390118637,-0.18869385206867828,-0.18476641610283884,-0.1811759744511181,-0.1761313834472651},
+{-1.2125445108893584,-0.8116747883906719,-0.5638674741589773,-0.4412920143323761,-0.37185586211057786,-0.32736674658840403,-0.3002718348228002,-0.2776457181702541,-0.2599330222288565,-0.2458347347214611,-0.23431123496705664,-0.22469750092357166,-0.2165168069674206,-0.20945987632553642,-0.2032923475739734,-0.197853118604695,-0.19301313685067623,-0.18865836776544342,-0.18473217001221354,-0.1811428412300684,-0.176100298710256},
+{-1.2129365135453858,-0.811507000468715,-0.5636908956125648,-0.44115844412612204,-0.371750614913519,-0.3272798151501457,-0.3001988330218952,-0.2775781938686499,-0.2598723356123045,-0.24577940751296445,-0.23426017373229135,-0.22464990389257844,-0.21647208516776595,-0.20941757993992338,-0.2032521273291772,-0.19781469579679367,-0.19297628664696465,-0.188622909276853,-0.18469794882189872,-0.1811097320901922,-0.17606923833859112},
+{-1.2133266823143205,-0.8113388938562,-0.5635143681215216,-0.4410249511229615,-0.3716454377070484,-0.3271929444425561,-0.30012585727455976,-0.27751071837490615,-0.2598116934659751,-0.24572412097479468,-0.23420914997261955,-0.22460234172436144,-0.2164273960757932,-0.2093753144396182,-0.20321193641009594,-0.19777630097630072,-0.19293946326324596,-0.18858747657723507,-0.18466375250727207,-0.18107664700806403,-0.1760382022819822},
+{-1.2137150212096166,-0.8111704700241884,-0.563337891896822,-0.44089153531978853,-0.37154033044681967,-0.3271061344146471,-0.30005290775049565,-0.2774432916449483,-0.25975109574567723,-0.2456688750648719,-0.2341581636490282,-0.22455481438295455,-0.21638273965798516,-0.20933307979292204,-0.20317177478691462,-0.19773793411515506,-0.19290266667260614,-0.18855206964095372,-0.18462958104378702,-0.18104358596020553,-0.1760071904905458},
+{-1.2141015342370984,-0.8110017304385747,-0.563161467148175,-0.4407581967133465,-0.37143529308841017,-0.3270193850155785,-0.2999799846177391,-0.2773759136347791,-0.259690542407258,-0.2456136697413398,-0.23410721472271012,-0.22450732183250577,-0.21633811588099916,-0.20929087596837137,-0.20313164242997006,-0.19769959518525138,-0.19286589684836986,-0.18851668844249914,-0.18459543440686232,-0.18101054892322455,-0.1759762029148313},
+{-1.2144862253950475,-0.8108326765600693,-0.5629850940840258,-0.4406249352999476,-0.371330325587542,-0.3269326961946719,-0.2999070880426924,-0.2773085843003813,-0.25963003340670077,-0.24555850496220866,-0.2340563031548768,-0.22445986403721951,-0.2162935247115747,-0.2092487029344705,-0.20309153930966573,-0.19766128415867712,-0.19282915376383003,-0.18848133295640723,-0.18456131257216257,-0.18097753587381304,-0.17594523950584984},
+{-1.214869098674169,-0.8106633098443292,-0.5628087729116357,-0.44049175107562466,-0.37122542789948865,-0.3268460679009284,-0.29983421819018785,-0.2772413035976742,-0.25956956869991377,-0.2455033806857061,-0.23400542890668086,-0.22441244096120783,-0.21624896611631628,-0.20920656065972,-0.2030514653963411,-0.19762300100741248,-0.19279243739223517,-0.1884460031570956,-0.1845272155151123,-0.18094454678860172,-0.17591430021479737},
+{-1.2152501580576236,-0.8104936317418316,-0.5626325038369863,-0.44035864403615954,-0.3711205999797935,-0.32675950008374843,-0.2997613752235737,-0.2771740714827873,-0.2595091482430132,-0.2454482968701266,-0.23395459193956047,-0.22436505256896155,-0.21620444006210593,-0.2091644491128406,-0.20301142066066613,-0.1975847457035642,-0.1927557477070867,-0.188410699019268,-0.18449314321151356,-0.18091158164440735,-0.17588338499350176},
+{-1.2156294075210141,-0.8103236436979828,-0.5624562870648491,-0.440225614176847,-0.371015841783775,-0.3266729926921417,-0.29968855930468585,-0.27710688791168847,-0.25944877199202865,-0.24539325347360985,-0.23390379221473245,-0.22431769882470487,-0.21615994651574977,-0.2091223682623411,-0.20297140507308886,-0.19754651821925662,-0.19271908468177323,-0.18837542051752743,-0.1844590956369625,-0.1808786404179228,-0.17585249379408197},
+{-1.2160068510324358,-0.8101533471530658,-0.5622801227987463,-0.44009266149289983,-0.37091115326663515,-0.32658654567539536,-0.29961577059375966,-0.27703975284042714,-0.2593884399030941,-0.24533825045467417,-0.23385302969373778,-0.2242703796929033,-0.21611548544411208,-0.2090803180770442,-0.20293141860427522,-0.197508318526733,-0.19268244828976933,-0.18834016762654082,-0.18442507276715192,-0.18084572308596214,-0.1758216265690591},
+{-1.2163824925524303,-0.8099827435423155,-0.5621040112410493,-0.43995978597903995,-0.37080653438376143,-0.32650015898277207,-0.29954300924946264,-0.2769726662251524,-0.2593281519325119,-0.24528328777165997,-0.23380230433797178,-0.2242230951380353,-0.21607105681411154,-0.20903829852563116,-0.20289146122483648,-0.19747014659823203,-0.19264583850468897,-0.188304940321117,-0.18439107457787696,-0.18081282962537082,-0.17579078327139586},
+{-1.2167563360340665,-0.8098118342959156,-0.5619279525928781,-0.439826987629767,-0.37070198509016183,-0.326413832563472,-0.2994702754290357,-0.27690562802192287,-0.2592679080364553,-0.24522836538309,-0.23375161610903006,-0.22417584512467936,-0.21602666059280562,-0.2089963095769376,-0.2028515329056051,-0.19743200240605518,-0.19260925530001405,-0.18826973857595863,-0.1843571010449434,-0.180779960013,-0.17575996385444004},
+{-1.2171283854228832,-0.8096406208389513,-0.561751947054099,-0.4396942664393383,-0.3705975053410133,-0.3263275663669156,-0.29939756928811345,-0.276838638186905,-0.259207708171288,-0.24517348324750143,-0.2337009649685644,-0.22412862961745117,-0.21598229674727176,-0.20895435119984995,-0.20281163361730536,-0.19739388592257057,-0.1925726986494547,-0.18823456236599156,-0.1843231521442903,-0.18074711422586853,-0.1757291682719051},
+{-1.2174986446569487,-0.8094691045915123,-0.5615759948234945,-0.4395616224015074,-0.3704930950913219,-0.3262413603421659,-0.2993248909810302,-0.27677169667623747,-0.2591475522933542,-0.245118641323542,-0.23365035087816355,-0.2240814485809972,-0.21593796524458275,-0.2089124233632227,-0.20277176333086833,-0.19735579712017826,-0.19253616852670863,-0.18819941166605147,-0.18428922785177249,-0.1807142922408853,-0.17569839647794283},
+{-1.2178671176668445,-0.8092972869686493,-0.56140009609855,-0.43942905550998923,-0.37038875429600093,-0.32615521443856665,-0.29925224066048917,-0.2767048034460964,-0.2590874403590877,-0.24506383956985456,-0.233599773799553,-0.2240343019800899,-0.21589366605184002,-0.20887052603598733,-0.20273192201711576,-0.19731773597127833,-0.19249966490544512,-0.188164286451052,-0.18425532814337453,-0.1806814940349606,-0.17566764842705385},
+{-1.2182338083756843,-0.8091251693804016,-0.561224251075616,-0.4392965657579643,-0.37028448291010907,-0.3260691286055597,-0.29917961847776464,-0.27663795845265327,-0.2590273723249421,-0.2450090779451919,-0.23354923369458747,-0.2239871897795349,-0.21584939913632195,-0.2088286591872437,-0.2026921096470986,-0.19727970244848558,-0.19246318775952176,-0.1881291866960122,-0.18422145299505965,-0.18064871958520956,-0.17563692407418952},
+{-1.2185987206991222,-0.8089527532318249,-0.5610484599498408,-0.4391641531384678,-0.37018028088831967,-0.32598310279231946,-0.2991070245826051,-0.27657116165216866,-0.258967348147519,-0.24495435640839358,-0.23349873052512593,-0.22394011194418528,-0.21580516446528564,-0.20878682278597904,-0.20265232619184737,-0.19724169652426116,-0.1924267370627155,-0.18809411237593543,-0.1841876023829383,-0.18061596886866726,-0.17560622337470644},
+{-1.2189618585453754,-0.8087800399229768,-0.5608727229152335,-0.43903181764425114,-0.37007614818556456,-0.32589713694839406,-0.29903445912328785,-0.2765044130008585,-0.2589073677833824,-0.24489967491830544,-0.23344826425304754,-0.22389306843903278,-0.2157609620061045,-0.2087450168013354,-0.20261257162236812,-0.1972037181712436,-0.1923903127889468,-0.18805906346587742,-0.1841537762830856,-0.18058324186250574,-0.17557554628425076},
+{-1.2193232258152111,-0.8086070308489806,-0.5606970401645707,-0.43889955926762647,-0.36997208475654464,-0.32581123102296905,-0.2989619222469251,-0.2764377124550035,-0.25884743118920106,-0.24484503343385722,-0.23339783484030718,-0.22384605922902856,-0.21571679172606917,-0.20870324120242567,-0.2025728459099514,-0.19716576736211988,-0.19235391491210163,-0.1880240399409696,-0.1841199746716511,-0.18055053854378467,-0.17554489275899887},
+{-1.2196828264019794,-0.8084337273999236,-0.5605214118895054,-0.43876737800077736,-0.3698680905558316,-0.3257253849654056,-0.29888941409891356,-0.27637105997086975,-0.258787538321652,-0.24479043191409988,-0.23334744224899562,-0.22379908427924589,-0.21567265359266874,-0.20866149595852246,-0.20253314902568365,-0.19712784406953365,-0.19231754340625606,-0.18798904177639608,-0.18408619752488442,-0.1805178588896874,-0.17551426275540538},
+{-1.2200406641916397,-0.8082601309610855,-0.5603458382805364,-0.43863527383551737,-0.3697641655382615,-0.32563959872528936,-0.29881693482331384,-0.2763044555047762,-0.2587276891375083,-0.24473587031802113,-0.23329708644118208,-0.2237521435547991,-0.21562854757332794,-0.20861978103882306,-0.20249348094085562,-0.19708994826624937,-0.19228119824529255,-0.18795406894730515,-0.18405244481888805,-0.18048520287746217,-0.17548365623034456},
+{-1.2203967430627076,-0.8080862429126812,-0.5601703195269662,-0.4385032467633527,-0.36966030965820074,-0.3255538722518525,-0.29874448456274183,-0.27623789901303764,-0.2586678835935903,-0.24468134860479895,-0.2332467673790659,-0.22370523702093092,-0.2155844736356456,-0.20857809641269687,-0.20245384162678692,-0.19705207992510854,-0.19224487940338664,-0.18791912142904543,-0.18401871653012813,-0.18045257048431962,-0.17545307314111902},
+{-1.220751066886328,-0.807912064630113,-0.5599948558170113,-0.43837129677563336,-0.3695565228702893,-0.3254682054947602,-0.2986720634584459,-0.276171390452036,-0.25860812164681835,-0.2446268667336251,-0.23319648502489843,-0.2236583646429391,-0.21554043174725734,-0.2085364420495639,-0.20241423105492617,-0.1970142390189431,-0.1922085868546799,-0.18788419919689647,-0.18398501263487543,-0.18041996168759677,-0.17542251344532267},
+{-1.2211036395262562,-0.8077375974838261,-0.5598194473376695,-0.4382394238632109,-0.36945280512891143,-0.3253825984032417,-0.29859967165035717,-0.27610492977808954,-0.2585484032540606,-0.24457242466373552,-0.23314623934093026,-0.22361152638608783,-0.21549642187568896,-0.20849481791877555,-0.20237464919663117,-0.19697642552059969,-0.19217232057331235,-0.18784930222614715,-0.18395133310948752,-0.18038737646451763,-0.17539197710095267},
+{-1.2214544648388785,-0.8075628428394299,-0.5596440942748494,-0.4381076280168955,-0.3693491563884628,-0.3252970509268287,-0.2985273092770222,-0.2760385169476589,-0.2584887283722903,-0.2445180223544685,-0.23309603028952575,-0.22356472221576396,-0.21545244398873842,-0.20845322398985044,-0.20233509602335964,-0.19693863940304324,-0.19213608053351283,-0.18781443049224134,-0.1839176779304006,-0.1803548147924059,-0.17536146406640807},
+{-1.2218035466732338,-0.8073878020576338,-0.5594687968133201,-0.43797590922702734,-0.3692455766034457,-0.32521156301514154,-0.29845497647544184,-0.2759721519170999,-0.2584290969586027,-0.2444636597652179,-0.23304585783311005,-0.223517952097537,-0.21540849805407336,-0.20841166023231605,-0.20229557150669542,-0.19690088063931555,-0.1920998667095979,-0.18777958397067596,-0.18388404707407902,-0.18032227664863876,-0.17533097430047695},
+{-1.2221508888709893,-0.8072124764942925,-0.5592935551367312,-0.43784426748378347,-0.36914206572799335,-0.32512613461762085,-0.29838267338144164,-0.27590583464290996,-0.2583695089700775,-0.24440933685542454,-0.2329957219342127,-0.22347121599684305,-0.21536458403955838,-0.20837012661580623,-0.20225607561823877,-0.19686314920241132,-0.19206367907584476,-0.1877447626369062,-0.18385044051713706,-0.1802897620106214,-0.17530050776225448},
+{-1.2224964952664772,-0.8070368675004362,-0.5591183694275783,-0.4377127027770813,-0.3690386237164438,-0.32504076568391693,-0.29831040012932,-0.2758395650814771,-0.2583099643638609,-0.2443550535845982,-0.23294562255538698,-0.22342451387934292,-0.21532070191301278,-0.2083286231099879,-0.20221660832964705,-0.19682544506540345,-0.19202751760668835,-0.18770996646644122,-0.18381685823606309,-0.18025727085579923,-0.17527006441114756},
+{-1.222840369686734,-0.8068609764222681,-0.5589432398672562,-0.4375812150963785,-0.3689352505229637,-0.32495545616343335,-0.2982381568522545,-0.27577334318934943,-0.2582504630971403,-0.24430080991233272,-0.23289555965917175,-0.22337784571063968,-0.21527685164233246,-0.20828714968450202,-0.20217716961257381,-0.19678776820146604,-0.19199138227656576,-0.18767519543491828,-0.18378330020753375,-0.18022480316155232,-0.1752396442070221},
+{-1.2231825159514236,-0.8066848046011477,-0.558768166636065,-0.43744980443113135,-0.3688319461016685,-0.32487020600577665,-0.2981659436820281,-0.27570716892298375,-0.25819100512715076,-0.24424660579828084,-0.23284553320830326,-0.22333121145650625,-0.2152330331954433,-0.2082457063091454,-0.20213775943879853,-0.1967501185837548,-0.19195527305992366,-0.18764044951796288,-0.18374976640814777,-0.18019235890534957,-0.17520924711000774},
+{-1.2235229378729522,-0.8065083533736803,-0.5585931499131545,-0.43731847077033226,-0.3687287104068617,-0.32478501516073854,-0.29809376074900285,-0.27564104223894725,-0.2581315904112915,-0.24419244120213723,-0.23279554316558682,-0.22328461108276954,-0.21518924654043636,-0.20820429295378085,-0.20209837778015105,-0.19671249618557507,-0.19191918993136725,-0.18760572869133996,-0.18371625681471082,-0.18015993806474095,-0.17517887308068292},
+{-1.2238616392564035,-0.8063316240716769,-0.558418189876623,-0.4371872141027585,-0.368625543392366,-0.32469988357777235,-0.2980216081822633,-0.27557496309375296,-0.2580722189068505,-0.24413831608370873,-0.2327455894937207,-0.2232380445551887,-0.21514549164526664,-0.20816290958828443,-0.2020590246084224,-0.19667490098010587,-0.19188313286543912,-0.18757103293065747,-0.18368277140390754,-0.18012754061724,-0.1751485220797766},
+{-1.22419862389957,-0.8061546180221684,-0.5582432867034498,-0.43705603441701535,-0.3685224450123361,-0.32461481120672486,-0.2979494861096077,-0.2755089314440309,-0.25801289057130616,-0.24408423040285587,-0.23269567215572362,-0.22319151183987462,-0.2151017684781158,-0.20812155618264838,-0.20201969989560964,-0.19663733294082553,-0.19184710183685483,-0.18753636221182468,-0.18364931015264752,-0.18009516654053281,-0.17511819406849138},
+{-1.2245338955929974,-0.8059773365474372,-0.5580684405695031,-0.43692493170121005,-0.36841941522067145,-0.32452979799709447,-0.29787739465764984,-0.2754429472463329,-0.2579536053620868,-0.24403018411940924,-0.23264579111442063,-0.22314501290271882,-0.215058077007104,-0.20808023270681497,-0.20198040361365965,-0.1965997920410083,-0.19181109682026576,-0.18750171651064051,-0.18361587303778748,-0.18006281581213623,-0.17508788900830674},
+{-1.2248674581199421,-0.8057997809650472,-0.5578936516496101,-0.43679390594347867,-0.36831645397124846,-0.32444484389862027,-0.2978053339515878,-0.2753770104572737,-0.2578943632366979,-0.24397617719347608,-0.23259594633287395,-0.2230985477098073,-0.21501441720043224,-0.20803893913085236,-0.20194113573457217,-0.19656227825411898,-0.19177511779042677,-0.1874670958029787,-0.18358246003619638,-0.18003048840963842,-0.17505760686093885},
+{-1.2251993152564395,-0.8056219525877927,-0.5577189201174464,-0.4366629571314542,-0.3682135612181343,-0.3243599488611588,-0.2977333041153907,-0.2753111210335233,-0.25783516415276253,-0.24392220958499689,-0.232546137774162,-0.22305211622727783,-0.21497078902634636,-0.2079976754249433,-0.20190189623036803,-0.19652479155369096,-0.19173916472217845,-0.18743250006482204,-0.18354907112485597,-0.17999818431082182,-0.175027347588544},
+{-1.2255294707712343,-0.8054438527238175,-0.5575442461457071,-0.4365320852526484,-0.3681107369149692,-0.32427511283431865,-0.29766130527173296,-0.27524527893174544,-0.25777600806790524,-0.24386828125411886,-0.2324963654014156,-0.22300571842131567,-0.21492719245318614,-0.2079564415592665,-0.20186268507326965,-0.1964873319132523,-0.19170323759035846,-0.18739792927209487,-0.18351570628078417,-0.17996590349339203,-0.1749971111534394},
+{-1.2258579284258695,-0.8052654826765292,-0.5573696299059141,-0.43640129029434194,-0.3680079810156429,-0.32419033576806777,-0.29758933754200734,-0.2751794841086217,-0.2577168949398061,-0.2438143921610214,-0.2324466291778775,-0.22295935425823554,-0.2148836274492989,-0.2079152375040867,-0.20182350223541312,-0.19644989930643253,-0.1916673363698853,-0.18736338340085856,-0.18348236548104802,-0.17993364593515504,-0.174966897518265},
+{-1.226184691974687,-0.8050868437446914,-0.5571950715686189,-0.43627057224337706,-0.36790529347388623,-0.3241056176120283,-0.29751740104654334,-0.2751137365209051,-0.2576578247262027,-0.24376054226596722,-0.23239692906675558,-0.22291302370434596,-0.21484009398307102,-0.20787406322967783,-0.20178434768903908,-0.1964124937068159,-0.19163146103572348,-0.18732886242716806,-0.18344904870278866,-0.17990141161389417,-0.17493670664598282},
+{-1.2265097651647776,-0.8049079372223693,-0.5570205713031966,-0.43613993108655214,-0.36780267424331536,-0.32402095831604116,-0.29744549590427805,-0.27504803612530915,-0.25759879738484215,-0.2437067315292465,-0.23234726503141934,-0.22286672672604424,-0.21479659202299395,-0.20783291870642584,-0.20174522140641837,-0.19637511508812966,-0.1915956115628621,-0.18729436632721597,-0.1834157559231504,-0.17986920050741095,-0.1749065384997026},
+{-1.2268331517360496,-0.8047287643989887,-0.5568461292780816,-0.4360093668102596,-0.36770012327777946,-0.32393635783011354,-0.29737362223293284,-0.274982382878564,-0.2575398128735553,-0.24365295991121272,-0.23229763703529205,-0.2228204632897932,-0.214753121537558,-0.20779180390480434,-0.2017061233598123,-0.19633776342415055,-0.19155978792636308,-0.1872598950771267,-0.18338248711930993,-0.17983701259363927,-0.1748763930429016},
+{-1.2271548554212328,-0.8045493265593747,-0.5566717456605985,-0.4358788794007604,-0.3675976405307311,-0.32385181610398495,-0.2973017801490099,-0.2749167767375613,-0.2574808711502785,-0.24359922737236994,-0.23224804504180918,-0.22277423336210478,-0.21470968249538713,-0.20775071879532359,-0.20166705352180547,-0.1963004386886913,-0.19152399010134502,-0.18722544865318458,-0.1833492422685956,-0.17980484785056605,-0.17484627023932497},
+{-1.2274748799458741,-0.80436962498369,-0.5564974206170347,-0.4357484688440114,-0.3674952259558748,-0.32376733308776817,-0.2972299697677836,-0.27485121765901877,-0.2574219721729072,-0.24354553387317934,-0.23219848901459983,-0.2227280369096336,-0.21466627486503742,-0.20770966334855334,-0.2016280118646523,-0.19626314085555774,-0.19148821806297156,-0.18719102703157642,-0.18331602134825098,-0.17977270625619668,-0.17481617005284078},
+{-1.2277932290283475,-0.8041896609475212,-0.5563231543126425,-0.4356181351256765,-0.36739287950669985,-0.32368290873116257,-0.29715819120347997,-0.2747857055998788,-0.25736311589942296,-0.2434918793742158,-0.2321489689171421,-0.22268187389900573,-0.21462289861526207,-0.20766863753508025,-0.2015889983610264,-0.19622586989872093,-0.1914524717864381,-0.1871566301887202,-0.183282824335659,-0.1797405877885121,-0.17478609244761478},
+{-1.2281099063798582,-0.8040094357218417,-0.5561489469115987,-0.43548787823127233,-0.36729060113666456,-0.323598542984183,-0.29708644456901245,-0.2747202405169389,-0.25730430228787027,-0.2434382638361412,-0.23209948471317543,-0.2226357442968936,-0.2145795537146904,-0.20762764132562106,-0.20155001298331054,-0.196188625792044,-0.19141675124700797,-0.18712225810091465,-0.18324965120822534,-0.17970849242553144,-0.1747560373880277},
+{-1.228424915704513,-0.8038289505730918,-0.5559747985771005,-0.43535769814595904,-0.36718839079940047,-0.3235142357969769,-0.29701472997606837,-0.274654822367127,-0.25724553129631955,-0.2433846872196006,-0.23205003636641952,-0.2225896480701144,-0.21453624013217065,-0.20758667469092762,-0.20151105570420014,-0.1961514085096303,-0.19138105641990522,-0.18708791074461395,-0.1832165019433405,-0.17967642014548546,-0.17472600483870027},
+{-1.2287382606992316,-0.8036482067631234,-0.5558007094712857,-0.4352275948547666,-0.36708624844818094,-0.32342998711937354,-0.2969430475352366,-0.2745894511073661,-0.2571868028828963,-0.2433311494854251,-0.23200062384066666,-0.22254358518551132,-0.21449295783652822,-0.20754573760185147,-0.2014721264963546,-0.19611421802547557,-0.1913453872805757,-0.1870535880962878,-0.18318337651860017,-0.17964437092645658,-0.1746959947644482},
+{-1.2290499450538475,-0.8034672055492632,-0.5556266797553163,-0.43509756834248425,-0.36698417403653827,-0.32334579690163046,-0.2968713973558632,-0.27452412669461945,-0.25712811700581617,-0.24327765059446027,-0.23195124709982573,-0.22249755561003015,-0.2144497067966753,-0.20750483002928655,-0.20143322533250374,-0.19607705431371425,-0.19130974380438337,-0.18701929013244611,-0.18315027491145863,-0.17961234474672727,-0.1746660071302668},
+{-1.2293599724510496,-0.8032859481843051,-0.5554527095892476,-0.4349676185934668,-0.36688216751772296,-0.3232616650936242,-0.2967997795462982,-0.27445884908589346,-0.2570694736232506,-0.24322419050751765,-0.23190190610775474,-0.2224515593105949,-0.21440648698151943,-0.20746395194412082,-0.2013943521853958,-0.196039917348505,-0.1912741259667432,-0.18698501682964164,-0.18311719709955843,-0.17958034158448166,-0.1746360419013817},
+{-1.229668346566451,-0.8031044359165282,-0.5552787991322152,-0.4348377455921435,-0.3667802288450879,-0.3231775916454527,-0.2967281942136706,-0.2743936182381308,-0.25701087269350253,-0.2431707691856313,-0.23185260082848647,-0.22240559625420242,-0.21436329836009183,-0.2074231033174052,-0.2013555070278179,-0.19600280710399232,-0.1912385337431839,-0.18695076816450817,-0.18308414306046417,-0.17954836141795805,-0.174606099043229},
+{-1.229975071068559,-0.8029226699896963,-0.5551049485422654,-0.43470794932240975,-0.36667835797206294,-0.3230935765074159,-0.29665664146388404,-0.2743284341084442,-0.256952314174939,-0.24311738658979132,-0.23180333122611296,-0.22235966640799876,-0.2143201409014266,-0.20738228412023108,-0.2013166898326595,-0.19596572355454023,-0.19120296710921902,-0.1869165441136913,-0.18305111277187525,-0.17951640422556325,-0.17457617852140261},
+{-1.2302801496188107,-0.8027406516431532,-0.5549311579765042,-0.434578229768142,-0.3665765548517512,-0.32300961962956265,-0.2965851214017654,-0.27426329665389426,-0.256893798025871,-0.24306404268112258,-0.23175409726475005,-0.22231376973910488,-0.21427701457464354,-0.2073414943237295,-0.20127790057291728,-0.19592866667436826,-0.1911674260404539,-0.18688234465395048,-0.1830181062115952,-0.17948446998564616,-0.1745462803016662},
+{-1.2305835858715566,-0.8025583821117124,-0.5547574275910251,-0.4344485869129513,-0.3664748194374545,-0.3229257209621901,-0.29651363413098664,-0.27419820583154797,-0.2568353242048025,-0.2430107374207624,-0.23170489890860502,-0.22226790621477077,-0.21423391934892666,-0.20730073389910375,-0.2012391392214783,-0.1958916364378973,-0.19113191051252176,-0.18684816976194507,-0.18298512335725103,-0.17945255867662557,-0.1745164043500198},
+{-1.230885383474126,-0.8023758626257766,-0.5545837575408985,-0.4343190207400218,-0.3663731516823434,-0.32284188045532547,-0.2964421797542398,-0.27413316159858825,-0.2567768926701095,-0.24295747076987229,-0.23165573612191803,-0.22222207580219733,-0.2141908551934597,-0.2072600028176017,-0.20120040575144227,-0.195854632819479,-0.19109642050110898,-0.1868140194145993,-0.1829521641867986,-0.1794206702768899,-0.17448655063254326},
+{-1.231185546066737,-0.8021930944112904,-0.5544101479802154,-0.43418953123257253,-0.36627155153955915,-0.32275809805924993,-0.29637075837303395,-0.2740681639121425,-0.25671850338038094,-0.2429042426898298,-0.2316066088689921,-0.22217627846876908,-0.21414782207745375,-0.20721930105056963,-0.20116170013581125,-0.19581765579354204,-0.19106095598191986,-0.18677989358867908,-0.18291922867799015,-0.17938880476496122,-0.1744567191156583},
+{-1.2314840772826319,-0.8020100786897968,-0.5542365990620791,-0.4340601183734527,-0.3661700189623913,-0.32267437372441865,-0.2962993700877523,-0.2740032127294225,-0.2566601562942119,-0.2428510531419028,-0.2315575171143276,-0.22213051418189367,-0.21410481997032704,-0.20717862856939173,-0.2011230223477869,-0.19578070533473424,-0.19102551693080705,-0.1867457922611766,-0.18288631680878886,-0.17935696211943442,-0.1744269097657838},
+{-1.2317809807479865,-0.8018268166784545,-0.5540631109386636,-0.4339307821452898,-0.36606855390377535,-0.3225907074009291,-0.29622801499767193,-0.2739383080076401,-0.2566018513701849,-0.24279790208755792,-0.23150846082224952,-0.22208478290887812,-0.214061848841401,-0.20713798534554595,-0.2010843723604716,-0.19574378141749338,-0.19099010332357103,-0.18671171540899256,-0.1828534285571055,-0.17932514231878316,-0.17439712254958772},
+{-1.2320762600819875,-0.8016433095899684,-0.5538896837610946,-0.4338015225306049,-0.36596715631686116,-0.3225070990393173,-0.29615669320099003,-0.273873449704098,-0.25654358856703174,-0.24274478948828038,-0.2314594399574179,-0.22203908461739252,-0.21401890866011164,-0.20709737135056105,-0.20104575014718762,-0.19570688401651348,-0.1909547151361226,-0.18667766300915822,-0.1828205639010021,-0.17929334534177732,-0.17436735743395082},
+{-1.232369918896793,-0.80145955863276,-0.5537163176795535,-0.43367233951145345,-0.3658658261547394,-0.32242354858973643,-0.2960854047950363,-0.2738086377760698,-0.2564853678434338,-0.24269171530551992,-0.2314104544843152,-0.22199341927496308,-0.2139759993959447,-0.20705678655600845,-0.2010071556811901,-0.19567001310643706,-0.19091935234439084,-0.18664363503876502,-0.1827877228185375,-0.17926157116705688,-0.174337614385762},
+{-1.232661960797587,-0.8012755650108074,-0.5535430128432626,-0.43354323306997444,-0.36576456337024355,-0.32234005600265414,-0.29601414987584485,-0.2737438721808363,-0.25642718915819396,-0.2426386795009572,-0.23136150436768999,-0.22194778684916483,-0.213933121018421,-0.20701623093350996,-0.20096858893575198,-0.19563316866195501,-0.19088401492434204,-0.18660963147489573,-0.1827549052877635,-0.17922981977322316,-0.1743078933722717},
+{-1.2329523893825507,-0.8010913299238009,-0.5533697694004689,-0.433414203187825,-0.36566336791665366,-0.3222566212285618,-0.29594292853848203,-0.2736791528758289,-0.2563690524701736,-0.24258568203619713,-0.2313125895721897,-0.22190218730768874,-0.21389027349706113,-0.20697570445477864,-0.20093004988429186,-0.19559635065789416,-0.1908487028520358,-0.1865756522947417,-0.18272211128685,-0.17919809113920349,-0.17427819436083536},
+{-1.2332412082429198,-0.8009068545671159,-0.5531965874984968,-0.43328524984660244,-0.3655622397467537,-0.3221732442178056,-0.2958717408768887,-0.27361447981844855,-0.2563109577382485,-0.24253272287303806,-0.2312637100626347,-0.22185662061829348,-0.2138474568015314,-0.20693520709164748,-0.20089153850021746,-0.1955595590690795,-0.19081341610357394,-0.18654169747550653,-0.1826893407939556,-0.17916638524374373,-0.17424851731885105},
+{-1.2335284209629211,-0.8007221401317641,-0.5530234672836406,-0.4331563730276673,-0.3654611788135089,-0.3220899249210425,-0.295800586984027,-0.27354985296606116,-0.25625290492137887,-0.24247980197319574,-0.23121486580393014,-0.2218110867487535,-0.213804670901528,-0.20689473881587883,-0.2008530547570737,-0.19552279387039473,-0.19077815465502046,-0.18650776699442795,-0.18265659378732435,-0.17913470206580784,-0.17421886221400373},
+{-1.2338140311199006,-0.8005371878045264,-0.55285040890135,-0.4330275727120285,-0.365360185069898,-0.32200666328860894,-0.29572946695196256,-0.273485272276226,-0.25619489397855033,-0.2424269192985702,-0.23116605676093416,-0.2217655856669538,-0.21376191576676185,-0.2068542995994045,-0.20081459862831097,-0.19548605503681626,-0.1907429184826932,-0.18647386082887518,-0.18262387024535198,-0.17910304158432333,-0.17418922901418954},
+{-1.2340980422841863,-0.8003519987678519,-0.5526774124960225,-0.4328988488807346,-0.3652592584686609,-0.3219234592710245,-0.29565838087162244,-0.2734207377063569,-0.256136924868811,-0.2423740748110652,-0.23111728289863853,-0.2217201173407548,-0.21371919136699224,-0.20681388941411072,-0.2007761700875108,-0.19544934254327173,-0.19070770756269972,-0.18643997895615838,-0.18259117014628568,-0.1790714037781258,-0.17415961768734922},
+{-1.2343804580192281,-0.8001665741999373,-0.5525044782111602,-0.43277020151434287,-0.36515839896286506,-0.3218403128190377,-0.29558732883284944,-0.27335624921402624,-0.2560789975512827,-0.24232126847262592,-0.23106854418206857,-0.22167468173813654,-0.21367649767199626,-0.20677350823206941,-0.20073776910828922,-0.19541265636486282,-0.19067252187136519,-0.18640612135369916,-0.1825584934685167,-0.1790397886264279,-0.17413002820169776},
+{-1.2346612818815446,-0.7999809152747793,-0.5523316061893743,-0.43264163059340377,-0.36505760650522934,-0.3217572238831201,-0.29551631092455266,-0.2732918067568557,-0.2560211119851523,-0.2422685002453322,-0.23101984057641167,-0.22162927882712102,-0.21363383465176433,-0.20673315602536735,-0.20069939566440986,-0.19537599647672366,-0.1906373613850756,-0.18637228799901484,-0.18252584019053897,-0.17900819610828345,-0.17410046052564754},
+{-1.2349405174207426,-0.7997950231620757,-0.5521587965722814,-0.43251313609823905,-0.36495688104860746,-0.321674192414072,-0.29544532723459493,-0.2732274102923766,-0.25596326812961867,-0.24221577009122552,-0.23097117204684636,-0.22158390857581045,-0.21359120227612038,-0.20669283276612194,-0.2006610497294794,-0.1953393628539457,-0.1906022260801381,-0.18633847886957589,-0.18249321029080412,-0.17897662620282162,-0.17407091462760715},
+{-1.2352181681795393,-0.799608899027374,-0.5519860495006139,-0.43238471800881384,-0.3648562225457932,-0.32159121836236304,-0.29537437785003395,-0.273163059778301,-0.25590546594399544,-0.24216307797253322,-0.23092253855856115,-0.22153857095235563,-0.21354860051512659,-0.20665253842648856,-0.2006227312774409,-0.19530275547182052,-0.19056711593310816,-0.18630469394295046,-0.18246060374784667,-0.17894507888924083,-0.1740413904764102},
+{-1.2354942376937286,-0.7994225440319338,-0.5518133651141188,-0.4322563763050655,-0.3647556309494775,-0.32150830167873967,-0.2953034628568245,-0.2730987551723201,-0.2558477053875845,-0.24211042385145554,-0.2308739400768729,-0.2214932659248534,-0.21350602933871388,-0.20661227297875007,-0.20058444028195188,-0.19526617430554816,-0.19053203092039794,-0.18627093319679378,-0.18242802054029972,-0.17891355414675036,-0.17401188804094891},
+{-1.2357687294922928,-0.799235959332929,-0.5516407435516918,-0.43212811096662085,-0.36465510621264197,-0.3214254423140921,-0.29523258233987093,-0.2730344964321316,-0.2557899864198314,-0.24205780769023133,-0.23082537656720348,-0.22144799346158717,-0.21346348871701837,-0.20657203639519062,-0.2005461767169867,-0.19522961933048366,-0.19049697101851804,-0.18623719660874083,-0.18239546064674128,-0.17888205195478246,-0.1739824072903351},
+{-1.2360416470973026,-0.7990491460832854,-0.551468184951291,-0.4319999219729096,-0.36455464828778017,-0.32134264021896497,-0.2951617363831469,-0.2729702835155281,-0.2557323090001504,-0.24200522945118363,-0.23077684799494635,-0.2214027535309231,-0.21342097862015574,-0.20653182864816055,-0.20050794055645937,-0.1951930905219892,-0.19046193620409135,-0.1862034841564255,-0.18236292404585108,-0.1788505722924827,-0.1739529481937807},
+{-1.2363129940239905,-0.7988621054318412,-0.5512956894499441,-0.4318718093032814,-0.3644542571277316,-0.321259895344409,-0.2950909250697413,-0.27290611638028905,-0.2556746730880941,-0.24195268909679424,-0.2307283543256784,-0.22135754610113434,-0.21337849901832895,-0.20649164971013811,-0.20046973177440064,-0.19515658785547862,-0.19042692645375792,-0.18616979581768311,-0.18233041071639433,-0.17881911513942517,-0.17392351072080636},
+{-1.2365827737807367,-0.7986748385232398,-0.5511232571837863,-0.43174377293662713,-0.3643539326851222,-0.3211772076410131,-0.2950201484817949,-0.2728419949843124,-0.2556170786432228,-0.24190018658943924,-0.23067989552485324,-0.22131237114069147,-0.21333604988172672,-0.20645149955355913,-0.20043155034479643,-0.19512011130644957,-0.19039194174417884,-0.18613613157026832,-0.182297920637152,-0.1787876804749351,-0.17389409484101392},
+{-1.2368509898690982,-0.7984873464980375,-0.5509508882880663,-0.4316158128519654,-0.36425367491260285,-0.3210945770596767,-0.2949494067005236,-0.2727779192854256,-0.25555952562514306,-0.24184772189167036,-0.23063147155815922,-0.2212672286179853,-0.2132936311806919,-0.20641137815089405,-0.20039339624173147,-0.1950836608503188,-0.19035698205208496,-0.1861024913920688,-0.18226545378691328,-0.1787562682785,-0.17386470052440317},
+{-1.2371176457838033,-0.7982996304926425,-0.5507785828970959,-0.4314879290278597,-0.3641534837630107,-0.32101200355142745,-0.2948786998061004,-0.27271388924157924,-0.2555020139935913,-0.24179529496605623,-0.23058308239135705,-0.22122211850163032,-0.2132512428854869,-0.2063712854747919,-0.2003552694393973,-0.19504723646279842,-0.19032204735426794,-0.18606887526090543,-0.1822330101445213,-0.1787248785297162,-0.17383532774091393},
+{-1.237382745012774,-0.79811169163944,-0.5506063411443609,-0.4313601214427971,-0.36405335918877646,-0.3209294870671089,-0.29480802787785065,-0.27264990481078155,-0.25544454370832215,-0.24174290577523272,-0.2305347279901282,-0.22117704076010858,-0.21320888496659296,-0.20633122149792915,-0.20031716991199655,-0.19501083811944753,-0.19028713762757077,-0.18603528315480555,-0.18220058968900443,-0.1786935112081387,-0.17380597646082907},
+{-1.2376462910371036,-0.797923531066674,-0.5504341631624,-0.4312323900750894,-0.36395330114264457,-0.32084702755773264,-0.2947373909941109,-0.2725859659510075,-0.25538711472914155,-0.24169055428190656,-0.23048640832034994,-0.22113199536213246,-0.21316655739445478,-0.2062911861929464,-0.20027909763379537,-0.19497446579590916,-0.19025225284887148,-0.18600171505170393,-0.18216819239922866,-0.1786621662933996,-0.17377664665465042},
+{-1.2379082873311682,-0.797735149898577,-0.5502620490828577,-0.43110473490271106,-0.36385330957712214,-0.3207646249741547,-0.2946667892324417,-0.27252207262029216,-0.2553297270159036,-0.2416382404487789,-0.2304381233478876,-0.22108698227634216,-0.21312426013952734,-0.20625117953261718,-0.2002410525790732,-0.1949381194679023,-0.1902173929951141,-0.1859681709296941,-0.18213581825431135,-0.178630843765196,-0.1737473382929371},
+{-1.2381687373624812,-0.7975465492552842,-0.5500899990365402,-0.43097715590365127,-0.3637533844447949,-0.3206822792673034,-0.2945962226694836,-0.2724582247767564,-0.2552723805285386,-0.24158596423873413,-0.23038987303869196,-0.22104200147147335,-0.2130819931723975,-0.20621120148973904,-0.20020303472215262,-0.19490179911121008,-0.19018255804324302,-0.1859346507667441,-0.18210346723318982,-0.17859954360314867,-0.17371805134656304},
+{-1.23842764459184,-0.7973577302529384,-0.5499180131533368,-0.4308496530555541,-0.3636535256984206,-0.32059999038841647,-0.29452569138082807,-0.27239442237854794,-0.2552150752271083,-0.2415337256145771,-0.23034165735886747,-0.22099705291636784,-0.21303975646368878,-0.20617125203715903,-0.20016504403751867,-0.19486550470168207,-0.19014774797038148,-0.18590115454112865,-0.18207113931507313,-0.17856826578721718,-0.1736887857865308},
+{-1.2386850124732638,-0.7971686940036796,-0.5497460915623116,-0.43072222633592494,-0.36355373329035023,-0.3205177582881389,-0.2944551954413248,-0.2723306653838302,-0.25515781107161617,-0.24148152453928629,-0.23029347627441488,-0.22095213657979795,-0.21299754998410547,-0.2061313311478148,-0.2001270804995705,-0.19482923621512716,-0.1901129627535223,-0.1858676822309555,-0.1820388344790258,-0.1785370102970325,-0.17365954158411157},
+{-1.2389408444540129,-0.7969794416156043,-0.5495742343916407,-0.4305948757221685,-0.3634540071731793,-0.3204355829175154,-0.29438473492486184,-0.2722669537508684,-0.2551005880222248,-0.2414293609758651,-0.23024532975154655,-0.2209072524307618,-0.2129553737043961,-0.2060914387946906,-0.20008914408288536,-0.1947929936275259,-0.19007820236985817,-0.18583423381448005,-0.18200655270435817,-0.17850577711265192,-0.17363031871058432},
+{-1.2391951439746673,-0.7967899741928861,-0.5494024417686095,-0.43046760119126404,-0.3633543472994727,-0.3203534642267851,-0.29431430990456753,-0.27220328743786815,-0.25504340603907893,-0.2413772348872889,-0.23019721775644908,-0.22086240043820804,-0.21291322759532472,-0.20605157495081627,-0.20005123476203734,-0.19475677691480575,-0.19004346679657402,-0.18580080926993148,-0.1819742939702822,-0.1784745662138687,-0.1736011171376255},
+{-1.2394479144689967,-0.7966002928356608,-0.5492307138196493,-0.4303404027203226,-0.363254753621592,-0.3202714021659623,-0.294243920452667,-0.27213966640314147,-0.2549862650824013,-0.24132514623675938,-0.23014914025539968,-0.22081758057109324,-0.21287111162777883,-0.20601173958922425,-0.20001335251158037,-0.19472058605292486,-0.1900087560109196,-0.18576740857572704,-0.18194205825609444,-0.17844337758061712,-0.1735719368369728},
+{-1.2396991593641409,-0.7964103986401735,-0.5490590506703683,-0.43021328028599326,-0.3631552260923234,-0.32018939668415225,-0.2941735666403642,-0.27207609060507987,-0.2549291651125627,-0.24127309498735805,-0.23010109721479144,-0.22077279279853723,-0.2128290257726686,-0.20597193268315084,-0.1999754973062391,-0.19468442101811334,-0.189974069990148,-0.185734031710187,-0.18190984554120693,-0.1784122111930566,-0.1735427777805194},
+{-1.239948882080467,-0.7962202926986843,-0.5488874524454734,-0.43008623386489586,-0.36305576466387657,-0.32010744772879285,-0.29410324853824465,-0.27201256000206864,-0.25487210608994326,-0.2412210811023443,-0.2300530886009875,-0.2207280370896325,-0.21278697000099478,-0.20593215420575017,-0.19993766912068334,-0.19464828178635196,-0.18993940871170345,-0.18570067865177675,-0.18187765580487225,-0.17838106703118806,-0.17351363994034008},
+{-1.2401970860316998,-0.7960299760995709,-0.5487159192688786,-0.42995926343354474,-0.3629563692888931,-0.3200255552453124,-0.29403296621583186,-0.27194907455254924,-0.2548150879748987,-0.24116910454502327,-0.23000511438052174,-0.22068331341353997,-0.21274494428376767,-0.20589240413019905,-0.19989986792975944,-0.19461216833387085,-0.1899047721528544,-0.1856673493789307,-0.18184548902656106,-0.1783499450751158,-0.17348452328870945},
+{-1.2404437746248476,-0.7958394499272993,-0.5485444512636024,-0.42983236896800947,-0.3628570399197937,-0.3199437191753933,-0.29396271974210175,-0.271885634215026,-0.2547581107280019,-0.24111716527872074,-0.22995717451994202,-0.22063862173958015,-0.21270294859211303,-0.20585268242995336,-0.19986209370825003,-0.1945760806368677,-0.18987016029116233,-0.1856340438702233,-0.18181334518595005,-0.17831884530510278,-0.1734554277980913},
+{-1.2406889512602675,-0.7956487152624077,-0.5483730485518503,-0.42970555044444914,-0.3627577765088912,-0.3198619394561757,-0.2938925091850002,-0.2718222389479892,-0.25470117430973693,-0.24106526326686328,-0.22990926898582198,-0.22059396203693615,-0.2126609828972712,-0.2058129890782403,-0.19982434643095215,-0.19454001867162307,-0.1898355731041117,-0.1856007621042206,-0.18178122426234644,-0.1782877677013226,-0.17342635344102586},
+{-1.2409326193316335,-0.7954577731815657,-0.5482017112549578,-0.4295788078386864,-0.3626585790088661,-0.3197802160183749,-0.2938223346116302,-0.27175888871002885,-0.25464427868076234,-0.2410133984728846,-0.22986139774485248,-0.22054933427497425,-0.21261904717035174,-0.20577332404851534,-0.19978662607291064,-0.19450398241444278,-0.1898010105692438,-0.18556750405950684,-0.18174912623545936,-0.1782567122441585,-0.1733973001903033},
+{-1.2411747822259962,-0.7952666247576586,-0.5480304394934967,-0.4294521411264358,-0.36255944737198487,-0.3196985487836854,-0.29375219608837977,-0.2716955834597856,-0.2545874238017971,-0.2409615708603674,-0.2298135607638112,-0.22050473842310847,-0.21257714138277217,-0.20573368731435449,-0.19974893260914328,-0.19446797184177944,-0.18976647266415592,-0.18553426971487674,-0.18171705108491398,-0.1782256789139205,-0.17336826801882443},
+{-1.2414154433237476,-0.7950752710596242,-0.5478592333871501,-0.42932555028328734,-0.3624603815507139,-0.31961693766272026,-0.29368209368069786,-0.27163232315590236,-0.2545306096335691,-0.24090978039285904,-0.22976575800951826,-0.22046017445076327,-0.21253526550581814,-0.2056940788491668,-0.19971126601452838,-0.1944319869299833,-0.18973195936656628,-0.18550105904896563,-0.1816849987903244,-0.1781946676910362,-0.17333925689961482},
+{-1.2416546059986684,-0.7948837131526387,-0.5476880930548154,-0.429199035284499,-0.3623613814974922,-0.3195353825513356,-0.2936120274534191,-0.2715691077570941,-0.2544738361368706,-0.24085802703399795,-0.22971798944880484,-0.2204156423274699,-0.21249341951100442,-0.20565449862661778,-0.19967362626437102,-0.1943960276556238,-0.18969747065413856,-0.18546787204067083,-0.18165296933146236,-0.1781636785560039,-0.17331026680589856},
+{-1.241892273617882,-0.7946919520980071,-0.5475170186144793,-0.4290725961053299,-0.36226244716458944,-0.3194538833276235,-0.29354199747057685,-0.2715059372221631,-0.2544171032726228,-0.2408063107475471,-0.22967025504866956,-0.22037114202273278,-0.21245160336975455,-0.2056149466203765,-0.1996360133335462,-0.19436009399510334,-0.18966300650471624,-0.18543470866868583,-0.1816209626881342,-0.1781327114893103,-0.1732812977111049},
+{-1.242128449541954,-0.7944999889532677,-0.5473460101834104,-0.42894623272075405,-0.36216357850460845,-0.3193724398479094,-0.2934720037951677,-0.2714428115097933,-0.25436041100172235,-0.24075463149712428,-0.2296225547760753,-0.22032667350613666,-0.21240981705364814,-0.20557542280400698,-0.1995984271974658,-0.19432418592513878,-0.1896285668959492,-0.18540156891194304,-0.18158897884003977,-0.17810176647168952,-0.17325234958864888},
+{-1.2423631371248174,-0.794307824772201,-0.5471750678780591,-0.42881994510565047,-0.36206477546978855,-0.3192910519418066,-0.29340204648963564,-0.2713797305789649,-0.2543037592852133,-0.24070298924671896,-0.229574888598149,-0.22028223674730985,-0.21236806053432722,-0.20553592715138813,-0.19956086783129345,-0.19428830342228576,-0.1895941518058648,-0.18536845274941083,-0.1815570177670902,-0.17807084348372193,-0.17322342241229327},
+{-1.2425963397138533,-0.7941154606047751,-0.5470041918140414,-0.42869373323473936,-0.3619660380125891,-0.3192097194082901,-0.29333212561554856,-0.27131669438852124,-0.25424714808417836,-0.24065138396017627,-0.22952725648201477,-0.2202378317160656,-0.21232633378353305,-0.20549645963629626,-0.19952333521039423,-0.19425244646325224,-0.18955976121230567,-0.18533536016008023,-0.1815250794492127,-0.1780399425062078,-0.17319451615586123},
+{-1.2428280606498225,-0.7939228974972282,-0.5468333821061238,-0.4285675970824394,-0.3618673660853251,-0.3191284420095801,-0.2932622412337891,-0.27125370289735007,-0.2541905773597404,-0.240599815601376,-0.22947965839492857,-0.2201934583820222,-0.21228463677295784,-0.20545702023256784,-0.1994858293101034,-0.19421661502480747,-0.18952539509326893,-0.18530229112288898,-0.18149316386635306,-0.1780090635199021,-0.17316563079314706},
+{-1.2430583032669613,-0.79373013649202,-0.5466626388683427,-0.42844153662320483,-0.3617687596403092,-0.31904721946650705,-0.2931923934045424,-0.27119075606446996,-0.25413404707305487,-0.24054828413436558,-0.2294320943041004,-0.2201491167150389,-0.21224296947448607,-0.2054176089141615,-0.19944835010581663,-0.19418080908367497,-0.18949105342678552,-0.18526924561705904,-0.18146127099849618,-0.17797820650565965,-0.1731367662984189},
+{-1.2432870708929094,-0.7935371786279127,-0.5464919622138706,-0.42831555183119163,-0.36167021863012083,-0.3189660514526962,-0.29312258218697407,-0.27112785384891747,-0.2540775571854861,-0.24049678952320264,-0.22938456417700093,-0.22010480668496823,-0.21220133186000223,-0.20537822565495656,-0.1994108975730673,-0.1941450286167994,-0.18945673619085523,-0.1852362236216285,-0.18142940082561232,-0.1779473714444877,-0.1731079226458485},
+{-1.2435143668488116,-0.7933440249399647,-0.5463213522551835,-0.42818964268040194,-0.3615717430069092,-0.31888493758829384,-0.2930528076397223,-0.2710649962097955,-0.25402110765831676,-0.24044533173205385,-0.22933706798095943,-0.22006052826166544,-0.2121597239014854,-0.2053388704290815,-0.1993734716873834,-0.19410927360098107,-0.18942244336364666,-0.18520322511580334,-0.18139755332786622,-0.17791655831729347,-0.17307909980980307},
+{-1.243740194449244,-0.7931506764595309,-0.546150809103845,-0.42806380914482345,-0.36147333272309656,-0.3188038774346018,-0.29298306982056865,-0.2710021831061271,-0.2539646984528958,-0.2403939107250086,-0.22928960568349077,-0.22001628141511143,-0.2121181455709784,-0.20529954321052823,-0.19933607242428897,-0.19407354401319132,-0.18938817492330307,-0.18517025007878773,-0.1813657284853054,-0.1778857671051628,-0.17305029776478476},
+{-1.243964557002287,-0.792957134214263,-0.5459803328707269,-0.42793805119797623,-0.3613749877310075,-0.31872287048753667,-0.29291336878669916,-0.2709394144971369,-0.25390832953074316,-0.240342526466361,-0.22924217725218443,-0.21997206611530506,-0.21207659684055002,-0.20526024397343612,-0.1992986997595998,-0.19403783983044853,-0.18935393084801166,-0.1851372984899129,-0.18133392627812128,-0.1778549977891708,-0.17302151648541608},
+{-1.244187457809469,-0.7927633992282153,-0.5458099236658609,-0.42781236881357243,-0.3612767079829555,-0.3186419161722549,-0.2928437045944934,-0.27087669034202144,-0.2538520008533427,-0.24029117892039364,-0.22919478265462945,-0.21992788233226745,-0.21203507768237273,-0.20522097269198403,-0.19926135366883546,-0.1940021610297218,-0.1893197111160494,-0.18510437032842253,-0.18130214668644484,-0.17782425035042548,-0.17299275594657315},
+{-1.2444089001658807,-0.7925694725216795,-0.5456395815985433,-0.42768676196497757,-0.3611784934314439,-0.31856101383728097,-0.2927740772995382,-0.2708140106000476,-0.25379571238230736,-0.24023986805145725,-0.22914742185859205,-0.21988373003621353,-0.21199358806873692,-0.20518172934036594,-0.19922403412790235,-0.1939665075882715,-0.18928551570574648,-0.18507146557377796,-0.18127038969068243,-0.1777935247703355,-0.1729640161230681},
+{-1.2446288873600375,-0.7923753551114137,-0.5454693067772636,-0.4275612306253822,-0.36108034402861544,-0.3184801627483873,-0.29270448695678253,-0.2707513752305153,-0.2537394640792834,-0.2401885938239885,-0.2291000948317654,-0.2198396091971453,-0.2119521279719394,-0.20514251389288196,-0.19918674111254875,-0.19393087948306365,-0.18925134459545,-0.1850385842053841,-0.18123865527090777,-0.17776282102996088,-0.17293529699000487},
+{-1.2448474226740576,-0.7921810480105025,-0.5452990993097591,-0.42743577476798356,-0.36098225972692366,-0.3183993620839254,-0.29263493362041904,-0.2706887841927317,-0.25368325590598473,-0.24013735620248533,-0.2290528015420885,-0.21979551978538803,-0.21191069736435653,-0.20510332632382822,-0.19914947459867527,-0.1938952766913955,-0.1892171977635564,-0.185005726202764,-0.18120694340762222,-0.17773213911068453,-0.1729065985224958},
+{-1.2450645093835455,-0.7919865522284245,-0.5451289593029791,-0.42731039436559004,-0.36088424047865386,-0.31831861092915825,-0.2925654173440575,-0.270626237446127,-0.2536270878241689,-0.24008615515144816,-0.2290055419574588,-0.2197514617711609,-0.21186929621841744,-0.20506416660761095,-0.1991122345622074,-0.1938596991905861,-0.18918307518857658,-0.18497289154534657,-0.18117525408114288,-0.17770147899400524,-0.17287792069593166},
+{-1.2452801507576585,-0.7917918687710869,-0.5449588868631252,-0.42718508939111977,-0.3607862862360316,-0.31823790827209586,-0.29249593818048947,-0.2705637349500989,-0.253570959795671,-0.24003499063548572,-0.22895831604577954,-0.21970743512481583,-0.21182792450670673,-0.20502503471864486,-0.199075020979107,-0.1938241469577342,-0.1891489768489616,-0.18494008021272013,-0.1811435872718099,-0.1776708406611336,-0.17284926348576812},
+{-1.2454943500590963,-0.7915969986407815,-0.5447888820956348,-0.427059859817128,-0.36068839695167365,-0.3181572529991523,-0.29242649618179795,-0.2705012766641506,-0.25351487178243404,-0.23998386261925497,-0.22891112377524747,-0.21966343981665437,-0.2117865822016829,-0.20498593063142634,-0.19903783382540263,-0.1937886199704515,-0.18911490272326548,-0.18490729218462354,-0.1811119429602388,-0.17764022409368607,-0.17282062686746702},
+{-1.2457071105441366,-0.7914019428362769,-0.5446189451052061,-0.4269347056161108,-0.36059057257767013,-0.31807664389110135,-0.29235709139943067,-0.27043886254785066,-0.25345882374639106,-0.23993277106747835,-0.22886396511390505,-0.2196194758171326,-0.21174526927610904,-0.20494685432049264,-0.1990006730772187,-0.1937531182059833,-0.18908085279019948,-0.18487452744066823,-0.18108032112682348,-0.1776096292731446,-0.17279201081687523},
+{-1.2459184354626178,-0.7912067023527694,-0.5444490759957241,-0.4268096267604997,-0.36049281306640646,-0.3179960796202328,-0.29228772388410107,-0.2703764925607004,-0.25340281564955736,-0.23988171594488938,-0.22881684002995262,-0.21957554309675764,-0.21170398570263282,-0.20490780576036682,-0.19896353871072092,-0.19371764164184357,-0.18904682702831765,-0.1848417859605065,-0.1810487217520622,-0.17757905618111325,-0.17276341530969175},
+{-1.246128328057971,-0.7910112781819246,-0.5442792748704399,-0.426684623222346,-0.3603951183702707,-0.31791555874713673,-0.2922183936860223,-0.2703141666623776,-0.25334684745404834,-0.23983069721641148,-0.22876974849177678,-0.2195316416260522,-0.21166273145411285,-0.2048687849257882,-0.1989264307020031,-0.19368219025556277,-0.18901282541638809,-0.18480906772400862,-0.18101714481671394,-0.1775485047991192,-0.17273484032198771},
+{-1.2463367915672254,-0.7908156713118587,-0.5441095418316992,-0.4265596949738233,-0.3602974884414827,-0.3178350797190068,-0.2921491008545565,-0.27025188481248885,-0.2532909191219861,-0.2397797148469074,-0.22872269046761362,-0.21948777137555497,-0.21162150650337352,-0.20482979179131222,-0.19888934902733268,-0.1936467640246473,-0.1889788479331811,-0.1847763727109517,-0.18098559030122852,-0.17751797510886025,-0.17270628582983294},
+{-1.246543829220998,-0.7906198827272143,-0.543939876981228,-0.4264348419867756,-0.3601999232325308,-0.3177546408679661,-0.29207984543840504,-0.27018964697079073,-0.2532350306155995,-0.2397287688013119,-0.22867566592591038,-0.2194439323159587,-0.21158031082328765,-0.2047908263317728,-0.1988522936630721,-0.19361136292681458,-0.18894489455753005,-0.18474370090124248,-0.18095405818645682,-0.17748746709210783,-0.17267775180953837},
+{-1.2467494442435347,-0.7904239134091469,-0.5437702804199951,-0.42631006423297424,-0.360102422695626,-0.3176742404097501,-0.29201062748569107,-0.27012745309707564,-0.25317918189715694,-0.23967785904461758,-0.22862867483523663,-0.2194001244179491,-0.21153914438694654,-0.2047518885219355,-0.19881526458553722,-0.19357598693974154,-0.18891096526828344,-0.18471105227473927,-0.18092254845297173,-0.17745698073038474,-0.17264923823738876},
+{-1.2469536398527035,-0.79022776433531,-0.5436007522482433,-0.42618536168410137,-0.3600049867831612,-0.31759387644385795,-0.29194144704381775,-0.27006530315110666,-0.253123372928983,-0.2396269855420332,-0.22858171716413223,-0.21935634765227663,-0.21149800716733758,-0.20471297833674829,-0.1987782617710514,-0.19354063604105676,-0.1888770600443812,-0.18467842681146474,-0.18089106108159037,-0.17742651600565473,-0.17262074509000058},
+{-1.2471564192600135,-0.7900314364799047,-0.5434312925654148,-0.42606073431156744,-0.3599076154474987,-0.3175135469530823,-0.29187230415966936,-0.27000319709272813,-0.253067603673516,-0.23957614825859053,-0.22853479288121914,-0.21931260198975755,-0.21145689913757248,-0.20467409575100515,-0.19874128519618228,-0.1935053102087112,-0.1888431788648126,-0.18464582449138556,-0.18085959605317514,-0.1773960728996422,-0.17259227234398766},
+{-1.247357785670592,-0.7898349308136368,-0.5432619014702691,-0.4259361820868015,-0.35981030864083885,-0.3174332498048631,-0.2918031988794134,-0.2699411348818632,-0.2530118740931746,-0.2395253471595573,-0.22848790195526814,-0.2192688874011477,-0.21141582027083938,-0.20463524073977757,-0.1987043348373616,-0.1934700094204147,-0.18880932170864106,-0.18461324529458434,-0.18082815334860713,-0.17736565139420613,-0.17256381997623027},
+{-1.2475577422832924,-0.7896382483038252,-0.5430925790608603,-0.42581170498092424,-0.3597130663157897,-0.31735298275262247,-0.29173413124846803,-0.26987911647849416,-0.252956184150533,-0.23947458221011875,-0.2284410443550544,-0.21922520385759192,-0.21137477054049114,-0.2045964132779967,-0.1986674106711912,-0.19343473365422126,-0.18877548855492332,-0.1845806892012538,-0.18079673294874743,-0.17733525147137597,-0.17253538796379475},
+{-1.2477562922905736,-0.7894413899143693,-0.5429233254344938,-0.42568730296505386,-0.3596158884245044,-0.31727274343706946,-0.2916651013117755,-0.2698171418425721,-0.25290053380807875,-0.23942385337569938,-0.22839422004935983,-0.2191815513297728,-0.21133374991968168,-0.2045576133407474,-0.19863051267417786,-0.1933994828879384,-0.18874167938277964,-0.18454815619139708,-0.1807653348345184,-0.17730487311280285,-0.1725069762836502},
+{-1.247953438878594,-0.7892443566057386,-0.5427541406878,-0.42556297601018356,-0.35951877491938244,-0.31719252938959697,-0.29159610911355194,-0.2697552109341632,-0.25284492302855543,-0.23937316062163605,-0.2283474290072145,-0.21913792978890667,-0.21129275838186912,-0.20451884090318062,-0.19859364082307396,-0.19336425709962057,-0.1887078941713387,-0.1845156462452704,-0.18073395898687927,-0.17727451630058333,-0.17247858491318668},
+{-1.2481491852272102,-0.7890471493349839,-0.5425850249166284,-0.4254387240869568,-0.3594217257528227,-0.31711233803419914,-0.29152715469752466,-0.26969332371333943,-0.2527893517746205,-0.23932250391333776,-0.22830067119764452,-0.2190943392059621,-0.21125179590050713,-0.2044800959405073,-0.19855679509453372,-0.19332905626735686,-0.18867413289993262,-0.18448315934309445,-0.1807026053869638,-0.17724418101669892,-0.17245021382982006},
+{-1.2483435345099627,-0.7888497690558222,-0.5424159782161715,-0.42531454716620654,-0.3593247408770881,-0.3170321666917617,-0.29145823810677296,-0.2696314801402553,-0.2527338200090157,-0.23927188321638582,-0.2282539465896205,-0.21905077955208618,-0.2112108624490716,-0.20444137842792776,-0.19851997546533307,-0.19329388036925232,-0.18864039554787437,-0.1844506954651881,-0.18067127401584315,-0.17721386724313914,-0.1724218630112615},
+{-1.2485364898941127,-0.7886522167185517,-0.5422470006808886,-0.4251904452183899,-0.35922782024477695,-0.31695201258376837,-0.29138935938364185,-0.2695696801751539,-0.2526783276946323,-0.23922129849631757,-0.22820725515243812,-0.21900725079847794,-0.2111699580011548,-0.2044026883407497,-0.1984831819123305,-0.1932587293835315,-0.18860668209449116,-0.18441825459188,-0.18063996485463818,-0.177183574961989,-0.1723935324353385},
+{-1.2487280545406412,-0.7884544932701513,-0.5420780924045858,-0.42506641821393965,-0.35913096380807263,-0.31687187283627827,-0.2913205185699479,-0.26950792377823785,-0.2526228747943551,-0.23917074971885866,-0.22816059685518209,-0.21896375291632397,-0.21112908253034668,-0.20436402565429557,-0.19844641441240096,-0.19322360328837052,-0.18857299251916526,-0.18438583670352404,-0.18060867788454882,-0.17715330415531083,-0.1723652220799865},
+{-1.2489182316042604,-0.7882565996542231,-0.5419092534802852,-0.42494246612318887,-0.3590341715194241,-0.316791744485053,-0.2912517157069425,-0.2694462109097844,-0.2525674612711055,-0.2391202368496108,-0.22811397166721425,-0.21892028587691081,-0.2110882360104278,-0.20432539034400543,-0.198409672942367,-0.1931885020620574,-0.1885393268013238,-0.18435344178055102,-0.1805774130867297,-0.17712305480518387,-0.17233693192331412},
+{-1.2491070242334246,-0.7880585368110903,-0.5417404840003808,-0.4248185889161378,-0.3589374433312442,-0.3167116244802959,-0.291182950835287,-0.2693845415301064,-0.25251208708786743,-0.23906975985434364,-0.22806737955791245,-0.2188768496515583,-0.21104741841500063,-0.2042867823853589,-0.19837295747941353,-0.19315342568289173,-0.1885056849204596,-0.18432106980340368,-0.18054617044256194,-0.17709282689378192,-0.17230866194363337},
+{-1.2492944355703397,-0.7878603056777271,-0.5415717840565548,-0.42469478656294934,-0.35884077919584123,-0.31663150969237885,-0.291114223995103,-0.26932291559965416,-0.2524567522078014,-0.23901931869896353,-0.22802082049659633,-0.21883344421158935,-0.2110066297179669,-0.20424820175381253,-0.19833626800032667,-0.19311837412934496,-0.18847206685619122,-0.1842887207525652,-0.18051494993322503,-0.177062620403186,-0.17228041211949563},
+{-1.2494804687509813,-0.7876619071877907,-0.5414031537398056,-0.4245710590334746,-0.3587441790658432,-0.3165513969175202,-0.2910455352257624,-0.2692613330788307,-0.25240145659402957,-0.23896891334926895,-0.22797429445294615,-0.21879006952859248,-0.21096586989315114,-0.20420964842491784,-0.1982996044823797,-0.19308334737979926,-0.1884384725881061,-0.18425639460864263,-0.18048375154019736,-0.17703243531572177,-0.1722521824295895},
+{-1.2496651269050927,-0.7874633422716991,-0.5412345931404148,-0.4244474062974768,-0.35864764289349615,-0.31647128288326387,-0.2909768845661769,-0.2691997939281485,-0.252346200209681,-0.23891854377130484,-0.22792780139631397,-0.21874672557378627,-0.21092513891451858,-0.20417112237426727,-0.1982629669026017,-0.19304834541274962,-0.18840490209583782,-0.1842240913521982,-0.18045257524483027,-0.1770022716134827,-0.1722239728526258},
+{-1.2498484131562013,-0.7872646118565412,-0.5410661023480627,-0.424323828324654,-0.35855117063127784,-0.3163911642552555,-0.2909082720547054,-0.26913829810816114,-0.2522909830180815,-0.23886820993113744,-0.22788134129647863,-0.21870341231888935,-0.2108844367560545,-0.20413262357764284,-0.19822635523833076,-0.19301336820673853,-0.188371355359072,-0.18419181096387005,-0.1804214210285724,-0.17697212927874784,-0.17219578336755648},
+{-1.2500303306216216,-0.7870657168661885,-0.5408976814516309,-0.4242003250844444,-0.3584547622316423,-0.3163110376428808,-0.29083969772911367,-0.26907684557941214,-0.25223580498251374,-0.2388179117946727,-0.22783491412308043,-0.21866012973540494,-0.21084376339177968,-0.20409415201068537,-0.19818976946664124,-0.19297841574039065,-0.188337832357655,-0.1841595534243865,-0.18039028887290698,-0.17694200829389883,-0.17216761395364344},
+{-1.2502108824124936,-0.7868666582212188,-0.5407293305394549,-0.42407689654637104,-0.35835841764696097,-0.3162308996064751,-0.29077116162666994,-0.269015436302559,-0.25218066606641143,-0.23876764932825623,-0.22778851984593285,-0.2186168777949833,-0.2108031187958863,-0.2040557076492564,-0.19815320956498317,-0.19294348799225602,-0.18830433307130745,-0.18412731871428845,-0.18035917875945984,-0.17691190864114015,-0.17213946459014862},
+{-1.25039007163375,-0.7866674368390076,-0.5405610496990723,-0.42395354267959995,-0.3582621368298795,-0.31615074666340814,-0.290702663783847,-0.26895407023828444,-0.2521255662332047,-0.23871742249799777,-0.22774215843478807,-0.2185736564692622,-0.21076250294239696,-0.20401729046904338,-0.19811667551057388,-0.19290858494115648,-0.18827085747994987,-0.18409510681454,-0.18032809066979638,-0.176881830302829,-0.17211133525647648},
+{-1.2505679013841733,-0.7864680536337092,-0.5403928390174901,-0.42383026345336017,-0.3581659197327398,-0.3160705752948687,-0.2906342042368688,-0.26889274734736857,-0.25207050544637344,-0.23866723127024647,-0.22769582985959191,-0.21853046572995138,-0.21072191580562105,-0.20397890044610456,-0.19808016728095268,-0.19287370656578595,-0.18823740556350144,-0.18406291770596495,-0.180297024585502,-0.17685177326138746,-0.17208322593219894},
+{-1.250744374756353,-0.7862685095162498,-0.5402246985809098,-0.4237070588367311,-0.35806976630798415,-0.31599038195266904,-0.2905657830212054,-0.2688314675905987,-0.25201548366948856,-0.2386170756113648,-0.22764953409026845,-0.21848730554887208,-0.21068135735982763,-0.2039405375562069,-0.19804368485358426,-0.19283885284487434,-0.18820397730189864,-0.18403075136928582,-0.18026598048830111,-0.17682173749922647,-0.1720551365970775},
+{-1.2509194948367657,-0.7860688053943512,-0.540056628474993,-0.4235839287985439,-0.3579736765082666,-0.3159101630656791,-0.2904974001719629,-0.26877023092878716,-0.251960500866236,-0.23856695548774853,-0.22760327109689849,-0.21844417589781884,-0.21064082757939406,-0.20390220177548724,-0.19800722820588135,-0.19280402375742334,-0.18817057267513126,-0.18399860778546673,-0.18023495835990433,-0.17679172299878454,-0.17202706723100425},
+{-1.251093264705704,-0.7858689421725734,-0.5398886287846445,-0.42346087330772586,-0.35787765028590246,-0.3158299150469186,-0.29042905572358735,-0.26870903732285667,-0.25190555700024,-0.2385168708659493,-0.22755704084951223,-0.21840107674864706,-0.21060032643876792,-0.20386389308001052,-0.19797079731544454,-0.19276921928218727,-0.188137191663313,-0.1839664869354074,-0.18020395818211155,-0.17676172974251125,-0.17199901781397875},
+{-1.2512656874373547,-0.785668920752288,-0.5397206995941468,-0.42333789233286967,-0.3577816875936486,-0.31574963430018066,-0.2903607497099583,-0.2686478867337705,-0.25185065203527124,-0.23846682171242062,-0.22751084331823668,-0.21835800807335248,-0.21055985391225773,-0.20382561144578792,-0.19793439215993924,-0.19273443939817225,-0.1881038342466188,-0.18393438880016078,-0.18017297993676218,-0.17673175771305027,-0.17197098832611912},
+{-1.2514367660997687,-0.7854687420317009,-0.5395528409871924,-0.42321498584262573,-0.35768578838385867,-0.3156693172263365,-0.2902924821644899,-0.26858677912254514,-0.2517957859352178,-0.23841680799389087,-0.22746467847334362,-0.21831496984384957,-0.21051940997453888,-0.20378735684903448,-0.19789801271707885,-0.1926996840844617,-0.18807050040511264,-0.1839023133608122,-0.18014202360569787,-0.17670180689284587,-0.1719429787476372},
+{-1.2516065037548878,-0.7852684069059219,-0.5393850530467623,-0.4230921538055139,-0.35758995260913107,-0.3155889602301687,-0.2902242531200818,-0.26852571445025,-0.2517409586638668,-0.23836682967708667,-0.22741854628507552,-0.21827196203222465,-0.21047899460014063,-0.20374912926604827,-0.19786165896448749,-0.1926649533199991,-0.18803719011906184,-0.18387026059835776,-0.18011108917080731,-0.17667187726455946,-0.17191498905888247},
+{-1.2517749034585706,-0.7850679162668667,-0.5392173358552026,-0.4229693961897576,-0.35749418022208124,-0.31550855972658853,-0.2901560626091584,-0.2684646926779606,-0.2516861701852151,-0.23831688672872486,-0.22737244672382184,-0.21822898461057383,-0.21043860776372236,-0.20371092867309848,-0.19782533088007304,-0.19263024708395138,-0.18800390336876394,-0.1838382304939672,-0.18008017661411113,-0.17664196881089556,-0.17188701924030525},
+{-1.251941968260549,-0.7848672710033426,-0.5390496894942176,-0.422846712963745,-0.35739847117518764,-0.3154281121471092,-0.2900879106635621,-0.2684037137668587,-0.2516314204632688,-0.23826697911568928,-0.22732637975992143,-0.21818603755097055,-0.21039824943998386,-0.20367275504653426,-0.1977890284416124,-0.1925955653555298,-0.18797064013450715,-0.18380622302877248,-0.18004928591765434,-0.1766120815145502,-0.17185906927247396},
+{-1.2521077012045294,-0.7846664720010372,-0.5388821140448086,-0.42272410409547767,-0.35730282542115677,-0.31534761394603517,-0.2900197973145231,-0.26834277767812287,-0.2515767094620136,-0.23821710680478336,-0.22728034536377395,-0.21814312082567255,-0.21035791960360273,-0.20363460836261416,-0.19775275162687,-0.19256090811379556,-0.18793740039657258,-0.1837742381839571,-0.18001841706324662,-0.17658221535812668,-0.17183113913590198},
+{-1.2522721053280834,-0.7844655201426021,-0.5387146095875197,-0.42260156955310046,-0.3572072429125419,-0.31526706160621654,-0.28995172259298796,-0.2682818843731787,-0.2515220371457283,-0.2381672697631636,-0.22723434350604865,-0.21810023440699844,-0.21031761822954742,-0.20359648859803903,-0.19771650041406152,-0.19252627533829614,-0.18790418413562326,-0.1837422759410039,-0.1799875700333753,-0.1765523703247207,-0.17180322881146903},
+{-1.2524351836627825,-0.7842644163075579,-0.5385471762021348,-0.42247910930457566,-0.3571117236019843,-0.3151864516451366,-0.28988368652929286,-0.26822103381328466,-0.25146740347851004,-0.23811746795778488,-0.22718837415726734,-0.21805737826723748,-0.21027734529271447,-0.20355839572935386,-0.19768027478112815,-0.19249166700821618,-0.1878709913319616,-0.18371033628112876,-0.1799567448100432,-0.1765225463970932,-0.17177533827992697},
+{-1.2525969392340812,-0.7840631613723311,-0.5383798139677967,-0.42235672331757335,-0.35701626744212045,-0.3151057806200972,-0.28981568915324996,-0.26816022595977795,-0.25141280842468916,-0.2380677013557988,-0.22714243728806904,-0.21801455237879308,-0.21023710076799107,-0.20352032973300815,-0.19764407470594003,-0.19245708310299436,-0.18783782196614052,-0.18367841918566796,-0.17992594137540863,-0.17649274355814137,-0.17174746752200143},
+{-1.252757375061479,-0.7838617562103395,-0.5382125229630503,-0.42223441155992747,-0.3569208743855661,-0.3150250451341359,-0.2897477304943221,-0.268099460774188,-0.25135825194849826,-0.23801796992444268,-0.22709653286911546,-0.217971756714066,-0.21019688463036212,-0.20348229058570455,-0.19760790016682028,-0.19242252360197476,-0.1878046760186991,-0.18364652463599418,-0.17989515971174352,-0.17646296179080245,-0.1717196165187782},
+{-1.2529164941583824,-0.78366020169189,-0.538045303265815,-0.42211217399917556,-0.35682554438515757,-0.3149442418412054,-0.28967981058119285,-0.2680387382179954,-0.2513037340144093,-0.23796827363098405,-0.22705066087124903,-0.21792899124560927,-0.21015669685488803,-0.20344427826413858,-0.19757175114181091,-0.19238798848476968,-0.18777155347028973,-0.18361465261367016,-0.1798643998014109,-0.17643320107826233,-0.17169178525114193},
+{-1.2530742995322122,-0.7834584986843384,-0.5378781549534524,-0.4219900106028507,-0.35673027739344443,-0.31486336745075905,-0.28961192944237224,-0.26797805825277576,-0.2512492545868703,-0.2379186124426802,-0.22700482126520027,-0.2178862559459409,-0.21011653741671754,-0.20340629274517852,-0.19753562760919952,-0.19235347773091904,-0.18773845430154656,-0.18358280310013741,-0.17983366162671244,-0.17640346140351104,-0.17166397370009268},
+{-1.2532307941843457,-0.7832566480519362,-0.537711078102596,-0.4218679213384031,-0.35663507336313716,-0.3147824187329218,-0.2895440871056456,-0.2679174208401336,-0.25119481363032437,-0.23786898632705933,-0.2269590140219302,-0.21784355078776407,-0.21007640629100477,-0.20336833400548482,-0.19749952954722616,-0.1923189913199539,-0.18770537849315438,-0.18355097607695647,-0.17980294517000361,-0.1763737427496781,-0.1716361818467762},
+{-1.2533859811102235,-0.7830546506559938,-0.5375440727893102,-0.4217459061729987,-0.3565399322469931,-0.31470139252259943,-0.28947628359857003,-0.2678568259416654,-0.251140411109362,-0.2378193952514822,-0.2269132391123545,-0.21780087574372597,-0.21003630345301882,-0.20333040202211983,-0.19746345693436407,-0.1922845292315829,-0.18767232602590145,-0.1835191715256954,-0.17977225041391032,-0.1763440451000693,-0.17160840967229873},
+{-1.2535398632992525,-0.7828525073547209,-0.5373771390891224,-0.42162396507395195,-0.35644485399770254,-0.31462028572429435,-0.2894085189480813,-0.26779627351925406,-0.2510860469886973,-0.23776983918363426,-0.22686749650739513,-0.21775823078659284,-0.20999622887797287,-0.20329249677190386,-0.19742740974878137,-0.1922500914455867,-0.18763929688047032,-0.1834873894280178,-0.1797415773407267,-0.17631436843788562,-0.17158065715779758},
+{-1.2536924437348633,-0.782650219003463,-0.5372102770768272,-0.4215020980083075,-0.35634983856824887,-0.3145390953159981,-0.2893407931805716,-0.2677357635345414,-0.2510317212330091,-0.23772031809107874,-0.22682178617827198,-0.2177156158892477,-0.20995618254129989,-0.20325461823183621,-0.1973913879691409,-0.19221567794167305,-0.18760629103792903,-0.18345562976569063,-0.1797109259330223,-0.176284712746551,-0.17155292428460855},
+{-1.2538437253945365,-0.7824477864545023,-0.5370434868267433,-0.42138030494306045,-0.3562548859112171,-0.3144578183526523,-0.289273106322153,-0.26767529594955075,-0.2509774338071189,-0.23767083194154504,-0.22677610809593762,-0.21767303102446123,-0.20991616441826055,-0.20321676637898234,-0.1973553915738564,-0.1921812886997012,-0.18757330847896414,-0.18342389252035707,-0.17968029617354375,-0.1762550780093921,-0.17152521103386853},
+{-1.2539937112497859,-0.7822452105571936,-0.5368767684124882,-0.4212585858452127,-0.35615999597943016,-0.31437645197019504,-0.2892054583983734,-0.267614870726097,-0.2509231846757842,-0.23762138070285443,-0.22673046223166615,-0.2176304761653558,-0.20987617448441842,-0.20317894119052582,-0.19731942054160312,-0.1921469236995712,-0.18754034918450735,-0.18339217767382987,-0.17964968804481352,-0.17622546420985152,-0.17149751738693197},
+{-1.2541424042662026,-0.7820424921579102,-0.5367101219071402,-0.4211369406814023,-0.35606516872576743,-0.3142949933883954,-0.2891378494343617,-0.2675544878261116,-0.25086897380395046,-0.2375719643427523,-0.22668484855666415,-0.2175879512848664,-0.20983621271522734,-0.20314114264352368,-0.19728347485081743,-0.1921125829211352,-0.18750741313561958,-0.18336048520800752,-0.17961910152955252,-0.1761958713315961,-0.171469843325184},
+{-1.254289807403403,-0.781839632100124,-0.5365435473831706,-0.4210153694184926,-0.355970404102981,-0.3142134399145413,-0.28907027945484653,-0.2674941472117225,-0.250814801156622,-0.23752258282930505,-0.2266392670421764,-0.21754545635615274,-0.20979627908630816,-0.2031033707152825,-0.19724755448039488,-0.19207826634449443,-0.18747450031330848,-0.18332881510463217,-0.17958853661059093,-0.17616629935797334,-0.17144218883004703},
+{-1.2544359236151164,-0.781636631224328,-0.5363770449124139,-0.42089387202298134,-0.3558757020641916,-0.31413178894582106,-0.28900274848390994,-0.267433848844981,-0.2507606666988278,-0.2374732361303975,-0.22659371765963687,-0.2175029913523816,-0.20975637357321464,-0.20306562538292017,-0.19721165940891083,-0.19204397394965866,-0.1874416106985497,-0.1832971673457977,-0.17955799327064748,-0.17613674827274295,-0.17141455388286886},
+{-1.2545807558491264,-0.7814334903681657,-0.5362106145661973,-0.4207724484614386,-0.35578106256205144,-0.3140500379719495,-0.28893525654542307,-0.2673735926880738,-0.250706570395657,-0.23742392421414182,-0.2265482003803898,-0.21746055624672866,-0.2097164961515885,-0.20302790662397863,-0.19717578961532078,-0.1920097057167105,-0.18740874427258802,-0.1832655419134137,-0.17952747149263493,-0.17610721805955976,-0.17138693846523445},
+{-1.2547243070473253,-0.781230210366272,-0.5360442564151886,-0.4206510987003369,-0.35568648554946636,-0.3139681845778397,-0.2888678036626575,-0.26731337870317606,-0.25065251221229357,-0.23737464704867017,-0.22650271517590692,-0.2174181510125761,-0.20967664679714115,-0.2029902144156206,-0.1971399450784599,-0.19197546162578893,-0.18737590101642798,-0.18323393878944838,-0.17949697125939768,-0.1760777087022265,-0.17135934255852447},
+{-1.2548665801457266,-0.7810267920505057,-0.5358779705295436,-0.42052982270588357,-0.35559197097955675,-0.3138862264452764,-0.28880038985865264,-0.2672532068526303,-0.25059849211398166,-0.2373254046022426,-0.22645726201778382,-0.21737577562334343,-0.2096368254857266,-0.20295254873539648,-0.19710412577715575,-0.19194124165720172,-0.18734308091133522,-0.1832023579560884,-0.17946649255395775,-0.17604822018451216,-0.17133176614449308},
+{-1.2550075780744518,-0.7808232362497565,-0.5357117569787155,-0.4204086204444535,-0.35549751880507174,-0.3138041613551956,-0.28873301515580607,-0.2671930770987312,-0.2505445100660566,-0.23727619684314671,-0.22641184087745447,-0.2173334300524039,-0.20959703219312598,-0.20291490956081537,-0.19706833169038296,-0.1919070457911478,-0.18731028393854254,-0.18317079939533532,-0.17943603535923636,-0.17601875249022125,-0.17130420920465417},
+{-1.2551473037576937,-0.7806195437900407,-0.5355456158317424,-0.4202874918820989,-0.35540312897917103,-0.3137219871894259,-0.288665679576134,-0.2671329894039238,-0.25049056603385367,-0.2372270237397025,-0.22636645172673164,-0.21729111427341863,-0.2095572668951977,-0.20287729686932154,-0.19703256279726222,-0.1918728740079052,-0.18727751007941462,-0.18313926308948458,-0.17940559965840963,-0.1759893056033981,-0.17127667172075522},
+{-1.2552857601138638,-0.7804157154945939,-0.535379547157002,-0.4201664369849263,-0.3553088014547485,-0.31363970193163393,-0.2885983831412804,-0.2670729437307062,-0.2504366599828125,-0.23717788526039163,-0.2263210945371643,-0.2172488282598053,-0.20951752956792546,-0.20283971063856487,-0.1969968190768614,-0.1918387262879131,-0.18724475931522067,-0.18310774902069227,-0.17937518543459552,-0.17595987950780057,-0.1712491536744647},
+{-1.2554229500554845,-0.7802117521837005,-0.535213551022311,-0.42004545571895635,-0.355214536184834,-0.31355730366914925,-0.2885311258724732,-0.2670129400416359,-0.2503827918784922,-0.23712878137374993,-0.22627576928052084,-0.21720657198539817,-0.20947782018718986,-0.20280215084618947,-0.19696110050822435,-0.19180460261160404,-0.1872120316273067,-0.18307625717122233,-0.1793447926708005,-0.17593047418757513,-0.17122165504762998},
+{-1.255558876489243,-0.7800076546749097,-0.5350476274949072,-0.41992454804995516,-0.3551203331225561,-0.31347479059345096,-0.28846390779055664,-0.26695297829927034,-0.2503289616864057,-0.23707971204830436,-0.22623047592872192,-0.21716434542395557,-0.2094381387291726,-0.2027646174699309,-0.19692540707069517,-0.19177050295941722,-0.18717932699715245,-0.1830447875233565,-0.17931442135041875,-0.17590108962681095,-0.17119417582208252},
+{-1.255693542315938,-0.7798034237828015,-0.5348817766414635,-0.41980371394385196,-0.3550261922208673,-0.31339216100155465,-0.28839672891588863,-0.26689305846634825,-0.250275169372252,-0.2370306772527755,-0.22618521445354212,-0.21712214854922163,-0.20939848516989024,-0.2027271104876185,-0.19688973874338167,-0.19173642731195883,-0.18714664540620207,-0.1830133400595062,-0.17928407145668857,-0.17587172580952304,-0.17116671597969413},
+{-1.2558269504306505,-0.7795990603192942,-0.5347159985281296,-0.4196829533662614,-0.35493211343304276,-0.31330941329639694,-0.28832958926839813,-0.2668331805055839,-0.2502214149017461,-0.23698167695591854,-0.22613998482697273,-0.217079981335214,-0.20935885948557909,-0.20268962987690253,-0.19685409550572164,-0.1917023756498124,-0.18711398683613378,-0.18298191476222891,-0.1792537429729637,-0.17584238272000485,-0.17113927550261332},
+{-1.2559591037225537,-0.7793945650933763,-0.5345502932204365,-0.4195622662828238,-0.3548380967120486,-0.31322654598712907,-0.2882624888676495,-0.2667733443798541,-0.2501676982406682,-0.23693271112646253,-0.22609478702088515,-0.21703784375582735,-0.20931926165236536,-0.20265217561574866,-0.1968184773369912,-0.19166834795351662,-0.1870813512682954,-0.18295051161374198,-0.1792234358825695,-0.17581306034223365,-0.1711118543726613},
+{-1.2560900050750698,-0.7791899389113317,-0.5343846607834439,-0.41944165265917044,-0.35474414201108906,-0.31314355768967417,-0.28819542773284734,-0.2667135500520197,-0.2501140193548066,-0.23688377973331232,-0.2260496210073515,-0.21699573578513132,-0.20927969164658622,-0.20261474768208965,-0.19678288421658463,-0.19163434420387127,-0.18704873868439398,-0.1829191305966642,-0.17919315016894322,-0.17578375866060503,-0.1710844525719999},
+{-1.256219657365806,-0.7789851825765846,-0.5342191012815585,-0.4193211124605929,-0.3546502492833379,-0.3130604471265137,-0.288128405882762,-0.26665379748500984,-0.2500603782100952,-0.2368348827454625,-0.2260044867585087,-0.21695365739729944,-0.20924014944453617,-0.20257734605387379,-0.1967473161239628,-0.19160036438156203,-0.18701614906610908,-0.18288777169354242,-0.1791628858156198,-0.1757544776592912,-0.17105707008286108},
+{-1.256348063466597,-0.7787802968898441,-0.5340536147786799,-0.4192006456526378,-0.35455641848199404,-0.31297721312700766,-0.2880614233358707,-0.266594086641895,-0.25000677477257227,-0.2367860201319587,-0.2259593842464338,-0.21691160856653546,-0.20920063502262876,-0.20253997070925855,-0.19671177303870335,-0.19156640846743267,-0.18698358239515844,-0.18285643488698833,-0.17913264280608487,-0.17572521732272328,-0.17102970688747998},
+{-1.2564752262434944,-0.7785752826490084,-0.5338882013381803,-0.4190802522004633,-0.35446264956037266,-0.31289385462697883,-0.2879944801100005,-0.2665344174858131,-0.24995320900829965,-0.23673719186187148,-0.22591431344344048,-0.21686958926706623,-0.20916114835730193,-0.20250262162620558,-0.19667625494034313,-0.19153247644236027,-0.18695103865333618,-0.18282512015979924,-0.17910242112401553,-0.17569597763526756,-0.1710023629681321},
+{-1.2566011485568047,-0.7783701406492776,-0.5337228610228824,-0.4189599320693509,-0.35436894247163475,-0.31281037066814754,-0.28792757622286747,-0.26647478997991936,-0.24989968088328496,-0.23668839790435747,-0.2258692743216293,-0.21682759947333263,-0.20912168942507625,-0.2024652987829385,-0.1966407618085393,-0.19149856828724898,-0.18691851782240088,-0.18279382749449935,-0.17907222075305107,-0.17566675858121572,-0.17097503830722927},
+{-1.2567258332610713,-0.778164871683046,-0.5335575938950627,-0.41883968522449644,-0.35427529716905215,-0.31272676039791536,-0.2878607116916103,-0.2664152040874983,-0.2498461903638165,-0.23663963822871814,-0.225824266853345,-0.21678563915976268,-0.20908225820248783,-0.20242800215762013,-0.19660529362292456,-0.1914646839830274,-0.18688601988415643,-0.18276255687396858,-0.1790420416767864,-0.1756375601450575,-0.1709477328872282},
+{-1.2568492832051128,-0.7779594765400393,-0.5333924000164245,-0.4187195116307916,-0.3541817136059655,-0.31264302306829306,-0.28779388653315197,-0.2663556597717651,-0.24979273741611152,-0.23659091280421407,-0.2257792910110692,-0.2167437083008732,-0.20904285466612427,-0.2023907317286917,-0.19656985036338792,-0.19143082351071516,-0.18685354482064298,-0.1827313082809976,-0.179011883879153,-0.17560838231129505,-0.1709204466906309},
+{-1.256971501231978,-0.7777539560072186,-0.5332272794481727,-0.41859941125334665,-0.3540881917357044,-0.3125591580356972,-0.287727100763957,-0.26629615699629205,-0.24973932200651516,-0.23654222160031457,-0.22573434676703297,-0.21670180687120544,-0.20900347879278947,-0.2023534874742845,-0.19653443200957899,-0.19139698685139495,-0.1868210926137004,-0.18270008169842233,-0.17898174734371253,-0.17557922506449852,-0.17089317970012718},
+{-1.2570924901790232,-0.7775483108688239,-0.5330622322509568,-0.4184793840569676,-0.3539947315117462,-0.31247516475961534,-0.28766035440009485,-0.26623669572444797,-0.24968594410138722,-0.23649356458644233,-0.2256894340938671,-0.21665993484552093,-0.20896413055906926,-0.20231626937282465,-0.1964990385413361,-0.19136317398619473,-0.18678866324545007,-0.1826688771092444,-0.17895163205446174,-0.1755500883892176,-0.17086593189835142},
+{-1.257212252877893,-0.7773425419064623,-0.532897258484929,-0.41835943000651143,-0.35390133288736836,-0.31239104280158836,-0.28759364745726845,-0.2661772759198544,-0.24963260366727624,-0.23644494173210928,-0.2256445529639648,-0.21661809219843642,-0.20892480994176532,-0.20227907740280138,-0.19646366993867526,-0.19132938489628426,-0.1867562566978589,-0.1826376944963788,-0.17892153799534372,-0.17552097227003882,-0.170838703268132},
+{-1.2573307921545172,-0.7771366498989742,-0.5327323582096857,-0.4182395490668045,-0.3538079958159632,-0.31230679182413246,-0.2875269799508775,-0.2661178975461147,-0.2495793006706215,-0.23639635300701078,-0.22559970334988932,-0.21657627890485331,-0.20888551691784585,-0.20224191154270832,-0.19642832618156625,-0.19129561956276353,-0.18672387295300563,-0.18260653384285597,-0.17889146515020204,-0.1754918766915572,-0.17081149379236393},
+{-1.257448110829147,-0.776930635622594,-0.5325675314842906,-0.4181197412023323,-0.35371472025112016,-0.3122224115893477,-0.28746035189590113,-0.26605856056692945,-0.24952603507806126,-0.23634779838074627,-0.22555488522430167,-0.21653449493970678,-0.20884625146408586,-0.20220477177108798,-0.19639300724991626,-0.1912618779670341,-0.18669151199310097,-0.18257539513178322,-0.1788614135030171,-0.17546280163864836,-0.17078430345406437},
+{-1.2575642117163595,-0.7767244998507994,-0.532402778367314,-0.41800000637786794,-0.3536215061461565,-0.3121379019579722,-0.28739376330714217,-0.265999264946148,-0.24947280685629325,-0.23629927782313942,-0.2255100985598948,-0.21649274027790888,-0.2088070135575415,-0.2021676580666103,-0.19635771312395622,-0.19122816009037402,-0.18665917380026542,-0.182544278346235,-0.1788313830379935,-0.17543374709596726,-0.17075713223636768},
+{-1.2576790976250178,-0.7765182433544677,-0.5322380989167839,-0.4178803445578154,-0.3535283534548279,-0.31205326288757673,-0.2873272141985974,-0.2659400106476171,-0.249419615972009,-0.23625079130395799,-0.22546534332932344,-0.21645101489446494,-0.20876780317515164,-0.20213057040780447,-0.19632244378373365,-0.19119446591409872,-0.18662685835685755,-0.18251318346946865,-0.1788013737390548,-0.17540471304834782,-0.170729980122446},
+{-1.2577927713583819,-0.7763118669018378,-0.5320734931901858,-0.41776075570662385,-0.35343526213049836,-0.31196849443111496,-0.28726070458437736,-0.26588079763525885,-0.24936646239208615,-0.23620233879314467,-0.22542061950537207,-0.2164093187644971,-0.20872862029394756,-0.2020935087734892,-0.1962871992094799,-0.19116079541960085,-0.18659456564507426,-0.18248211048473584,-0.17877138559052286,-0.17537569948062304,-0.17070284709559314},
+{-1.2579052357140037,-0.7761053712584591,-0.5319089612445689,-0.41764123978876455,-0.3533422321267232,-0.31188359673535526,-0.28719423447798853,-0.265821625873103,-0.24931334608336098,-0.23615392026065551,-0.22537592706084775,-0.21636765186330464,-0.20868946489111062,-0.20205647314235575,-0.19625197938144145,-0.19112714858828594,-0.18656229564723237,-0.18245105937522377,-0.17874141857634296,-0.17534670637770056,-0.17067573313936002},
+{-1.2580164934838576,-0.7758987571873217,-0.5317445031364096,-0.41752179676841017,-0.3532492633972515,-0.31179857003917144,-0.28712780389278203,-0.2657624953253448,-0.2492602670127595,-0.2361055356765136,-0.22533126596869124,-0.2163260141660639,-0.20865033694386037,-0.2020194634933965,-0.19621678427994516,-0.19109352540181357,-0.18653004834586095,-0.1824200301244665,-0.1787114726810186,-0.17531773372454884,-0.1706486382372785},
+{-1.2581265474542276,-0.7756920254486992,-0.5315801189216651,-0.41740242660989546,-0.35315635589557104,-0.3117134146718614,-0.28706141284167463,-0.2657034059560477,-0.2492072251473867,-0.2360571850109392,-0.22528663620172606,-0.21628440564805151,-0.2086112364294186,-0.20198247980541506,-0.19618161388533473,-0.1910599258415444,-0.18649782372316537,-0.18238902271560642,-0.1786815478886461,-0.17528878150613192,-0.17062156237310244},
+{-1.2582354004057825,-0.7754851768003244,-0.5314158086558107,-0.4172831292772943,-0.35306350957549393,-0.31162813105147835,-0.2869950613370129,-0.2656443577296055,-0.2491542204543058,-0.23600886823394474,-0.22524203773293072,-0.21624282628477642,-0.20857216332501816,-0.2019455220573092,-0.19614646817807024,-0.19102634988914202,-0.18646562176191273,-0.18235803713236676,-0.1786516441835535,-0.17525984970753283,-0.1705945055306568},
+{-1.2583430551136376,-0.7752782119973467,-0.531251572393826,-0.41716390473477905,-0.352970724390691,-0.31154271968277625,-0.28692874939122426,-0.2655853506103165,-0.24910125290063734,-0.23596058531594455,-0.225197470535353,-0.2162012760515819,-0.208533117608094,-0.20190859022806507,-0.19611134713869616,-0.19099279752625353,-0.18643344244449,-0.18232707335809772,-0.1786217615503798,-0.17523093831376801,-0.1705674676939557},
+{-1.258449514347252,-0.77507113179229,-0.531087410190227,-0.4170447529463648,-0.3528780002948153,-0.31145718115521115,-0.2868624770160544,-0.26552638456263056,-0.24904832245364217,-0.23591233622720553,-0.22515293458207886,-0.21615975492409722,-0.20849409925599582,-0.20187168429686464,-0.196076250747641,-0.19095926873454383,-0.18640128575345605,-0.1822961313764102,-0.17859189997326652,-0.17520204731001776,-0.1705404488471558},
+{-1.2585547808705049,-0.7748639369351011,-0.5309233220989245,-0.41692567387592927,-0.3527853372417651,-0.311371516141258,-0.28679624422322236,-0.2654674595510431,-0.2489954290807126,-0.23586412093818065,-0.22510842984624269,-0.21611826287793123,-0.20845510824623048,-0.2018348042428717,-0.19604117898562956,-0.19092576349567958,-0.1863691516715389,-0.18226521117100658,-0.17856205943675185,-0.1751731766815019,-0.17051344897449106},
+{-1.2586588574416793,-0.7746566281731582,-0.5307593081734163,-0.41680666748748485,-0.3526927351852258,-0.31128572539441235,-0.28673005102390325,-0.2654085755401998,-0.24894257274912368,-0.2358159394192536,-0.2250639563009642,-0.21607679988872475,-0.20841614455634172,-0.2017979500451479,-0.19600613183329685,-0.19089228179153972,-0.18633704018131514,-0.1822343127254631,-0.1785322399253979,-0.17514432641329813,-0.17048646806034595},
+{-1.258761746813541,-0.7744492062512642,-0.5305953684666738,-0.4166877337447463,-0.35260019407917786,-0.31119980974711625,-0.28666389742892306,-0.2653497324947116,-0.24888975342635877,-0.23576779164104567,-0.22501951391944885,-0.21603536593211548,-0.2083772081638835,-0.201761121682845,-0.1959711092712655,-0.19085882360378514,-0.18630495126558166,-0.18220343602356381,-0.1785024414236398,-0.17511549649068803,-0.170459506089208},
+{-1.2588634517332284,-0.7742416719117085,-0.5304315030311759,-0.41656887261148867,-0.35250771387737334,-0.3111137701085509,-0.28659778344895903,-0.26529093037940576,-0.24883697107995584,-0.23571967757417545,-0.22497510267514187,-0.21599396098416612,-0.20833829904657097,-0.20172431913543631,-0.1959361112804534,-0.19082538891445155,-0.18627288490722282,-0.182172581049187,-0.17847266391633587,-0.17508668689905527,-0.17043256304593735},
+{-1.2589639749423804,-0.7740340258942111,-0.5302677119189578,-0.41645008405150463,-0.3524152945337309,-0.3110276074628615,-0.28653170909428294,-0.2652321691591526,-0.248784225677519,-0.23567159718934105,-0.2249307225412549,-0.21595258502050685,-0.20829941718214817,-0.20168754238232678,-0.19590113784169194,-0.1907919777053788,-0.18624084108899774,-0.18214174778613712,-0.17844290738794255,-0.17505789762365653,-0.17040563891517913},
+{-1.2590633191770577,-0.7738262689359718,-0.5301039951814936,-0.4163313680282501,-0.3523229360022193,-0.31094132286662246,-0.28646567437482195,-0.26517344879880467,-0.24873151718667996,-0.23562355045721528,-0.22488637349121943,-0.21591123801733492,-0.20826056254834224,-0.2016507914028467,-0.19586618893578533,-0.19075858995853823,-0.1862088197937859,-0.18211093621830665,-0.17841317182322936,-0.1750291286498591,-0.17037873368164647},
+{-1.2591614871678032,-0.7736184017716616,-0.5299403528698625,-0.41621272450547186,-0.3522306382368061,-0.31085491744739313,-0.28639967930032206,-0.26511476926344324,-0.24867884557521425,-0.23557553734879777,-0.22484205549846825,-0.21586991995039195,-0.2082217351230944,-0.20161406617647337,-0.19583126454379407,-0.19072522565590555,-0.1861768210045418,-0.18208014632962355,-0.17838345720697735,-0.17500037996298978,-0.1703518473295742},
+{-1.2592584816396548,-0.7734104251334397,-0.5297767850345476,-0.4160941534465481,-0.35213840119163464,-0.31076839240112397,-0.28633372387997236,-0.26505613051811094,-0.24862621081091651,-0.23552755783492074,-0.2247977685364817,-0.21582863079586234,-0.2081829348842228,-0.20157736668275694,-0.19579636464670358,-0.1906918847795871,-0.18614484470432258,-0.18204937810423027,-0.17835376352389165,-0.17497165154866057,-0.17032497984145412},
+{-1.2593543053121075,-0.7732023397509615,-0.5296132917257075,-0.41597565481495713,-0.352046224820604,-0.31068174898999956,-0.28626780812294905,-0.2649975325279925,-0.24857361286158186,-0.23547961188651012,-0.2247535125788791,-0.2157873705299056,-0.20814416180981388,-0.201540692901371,-0.1957614892255366,-0.1906585673117025,-0.18611289087606364,-0.18201863152604947,-0.1783240907589092,-0.1749429433920513,-0.1702981311967644},
+{-1.2594489608991637,-0.7729941463513881,-0.5294498729929227,-0.41585722857418905,-0.351954109077786,-0.3105949885405588,-0.28620193203787014,-0.2649389752583602,-0.24852105169525318,-0.23543169947475207,-0.22470928759916653,-0.21574613912867457,-0.20810541587771159,-0.20150404481182482,-0.1957266382614189,-0.19062527323425815,-0.1860809595028856,-0.18198790657932085,-0.17829443889675511,-0.17491425547878725,-0.1702713013732402},
+{-1.259542451109363,-0.7727858456594041,-0.529286528885244,-0.4157388746873554,-0.35186205391737735,-0.3105081124412612,-0.2861360956332706,-0.26488045867447285,-0.2484685272799152,-0.23538382057058804,-0.22466509357112052,-0.21570493656851797,-0.20806669706615777,-0.20146742239407445,-0.19569181173559524,-0.19059200252960995,-0.1860490505680752,-0.18195720324818376,-0.1782648079226652,-0.17488558779447017,-0.17024449035593703},
+{-1.2596347786456994,-0.7725774383972124,-0.5291232594513784,-0.4156205931179169,-0.35177005929347827,-0.31042112214076045,-0.28607029891727853,-0.26482198274186164,-0.24841603958362812,-0.23533597514540538,-0.2246209304683422,-0.21566376282567212,-0.2080280053534178,-0.20143082562776593,-0.1956570096293273,-0.19055875517992016,-0.18601716405464153,-0.18192652151679933,-0.17823519782127173,-0.17485694032454235,-0.17021769816477716},
+{-1.2597259462057833,-0.7723689252845065,-0.5289600647395216,-0.41550238382896065,-0.35167812516044084,-0.31033401914545067,-0.2860045418976944,-0.2647635474258849,-0.24836358857452323,-0.23528816317039203,-0.22457679826468757,-0.21562261787657588,-0.20798934071755903,-0.20139425449270876,-0.19562223192375994,-0.190525531167538,-0.18598529994600277,-0.1818958613696524,-0.1782056085777799,-0.17482831305469215,-0.17019092490964782},
+{-1.2598159564816798,-0.7721603070386005,-0.5287969447973662,-0.41538424678362773,-0.35158625147237066,-0.31024680501736057,-0.2859388245821197,-0.2647051526922155,-0.24831117422093785,-0.23524038461691488,-0.22453269693393096,-0.21558150169774537,-0.2079507031368628,-0.20135770896894734,-0.19558747860049142,-0.19049233047485448,-0.18595345822542253,-0.1818652227909574,-0.1781760401774335,-0.1747997059704849,-0.17016417088227298},
+{-1.259904812160035,-0.7719515843743301,-0.5286338996722038,-0.4152661819451411,-0.3514944381835168,-0.3101594813722044,-0.28587314697779354,-0.2646467985064569,-0.24825879649105564,-0.23519263945635283,-0.2244886264499848,-0.2155404142656563,-0.20791209258983434,-0.2013211890364226,-0.1955527496407834,-0.1904591530841171,-0.18592163887614666,-0.1818346057650131,-0.17814649260516813,-0.1747711190576009,-0.1701374366858195},
+{-1.2599925159220653,-0.7717427580040563,-0.5284709294108005,-0.41514818927640196,-0.35140268524826634,-0.31007204987692516,-0.28580750909167474,-0.26458848483431474,-0.24820645535327968,-0.2351449276602624,-0.22444458678677526,-0.21549935555692024,-0.20787350905470303,-0.20128469467517096,-0.19551804502612846,-0.1904259989779078,-0.1858898418817998,-0.1818040102763936,-0.17811696584622316,-0.1747425523019075,-0.17011072339778321},
+{-1.2600790704435343,-0.7715338286377302,-0.5283080340595376,-0.41503026874046256,-0.35131099262087817,-0.3099845122481337,-0.28574191093065027,-0.2645302116416466,-0.24815415077599434,-0.235097249200245,-0.22440057791818946,-0.21545832554822386,-0.2078349525101446,-0.2012482258652959,-0.1954833647382075,-0.19039286813870415,-0.18585806722568954,-0.18177343630961085,-0.17808745988589614,-0.1747140056890677,-0.170084032755208},
+{-1.2601644783947812,-0.7713247969828918,-0.5281452136642311,-0.4149124203001713,-0.35121936025594946,-0.30989687024960677,-0.2856763525008459,-0.26447197889422647,-0.24810188272771994,-0.23504960404784203,-0.2243565998182837,-0.21541732421625337,-0.20779642293456835,-0.2012117825868378,-0.19544870875835452,-0.19035976054906412,-0.18582631489150092,-0.18174288384909154,-0.1780579747093971,-0.17468547920484534,-0.17005736734531052},
+{-1.260248742440749,-0.771115663744675,-0.5279824682703746,-0.41479464391845333,-0.3511277881077106,-0.30980912569045405,-0.28561083380863383,-0.2644137865580829,-0.24804965117709266,-0.23500199217483875,-0.22431265246123022,-0.21537635153783397,-0.20775792030653006,-0.20117536482020393,-0.19541407706841163,-0.190326676191523,-0.1857945848627245,-0.18171235287957588,-0.17802851030226785,-0.17465697283513304,-0.17003073078612374},
+{-1.2603318652409548,-0.7709064296257746,-0.5278197979229096,-0.41467693955816154,-0.3510362761306678,-0.30972128042288505,-0.2855453548597646,-0.2643556345992031,-0.24799745609263812,-0.23495441355300217,-0.22426873582101825,-0.21533540748981306,-0.20771944460469438,-0.20113897254553503,-0.19537946965001263,-0.19029361504867737,-0.1857628771229165,-0.18168184338555182,-0.1779990666496447,-0.17462848656593888,-0.17000412788173458},
+{-1.2604138494495547,-0.7706970953265324,-0.5276572026663766,-0.4145593071819862,-0.35094482427943463,-0.3096333363402395,-0.28547991565994835,-0.2642975229837199,-0.24794529744310845,-0.234906868154237,-0.22422484987196745,-0.21529449204917617,-0.20768099580782806,-0.20110260574323124,-0.19534488648494053,-0.1902605771033512,-0.18573119165598717,-0.18165135535188126,-0.1779696437372329,-0.17460002038301115,-0.16997756473844872},
+{-1.2604946977152842,-0.7704876615448648,-0.5274946825448386,-0.4144417467527033,-0.35085343250837253,-0.30954529537521713,-0.28541451621447855,-0.2642394516777071,-0.2478931751972886,-0.23485935595048213,-0.22418099458812923,-0.2152536051927374,-0.20764257389470453,-0.20106626439366737,-0.19531032755500854,-0.19022756233821614,-0.18569952844547455,-0.1816208887631614,-0.1779402415503868,-0.17457157427236059,-0.16995104883508771},
+{-1.260574412681506,-0.7702781289763057,-0.5273322376019562,-0.4143242582328899,-0.3507621007723043,-0.3094571594977542,-0.2853491565283215,-0.2641814206474846,-0.24784108932398885,-0.2348118769137355,-0.22413716994392807,-0.21521274689779935,-0.2076041788440075,-0.20102994847729683,-0.1952757928420903,-0.19019457073606816,-0.18566788747532836,-0.1815904436043243,-0.17791086007461265,-0.17454314822014494,-0.169924589042437},
+{-1.260652996986254,-0.7700684983140771,-0.5271698678809333,-0.41420684158523136,-0.3506708290257241,-0.3093689307130023,-0.28528383660634926,-0.2641234298593478,-0.24778903979207278,-0.23476443101614297,-0.2240933759135535,-0.2151719171412716,-0.20756581063475865,-0.2009936579745295,-0.19524128232813487,-0.19016160227974277,-0.18563626872943484,-0.18156001986002268,-0.17788149929571384,-0.17451474221211205,-0.16989819559180042},
+{-1.2607304532621866,-0.769858770248989,-0.527007573424523,-0.4140894967723221,-0.350579617223278,-0.30928061105949123,-0.2852185564530525,-0.26406547927969415,-0.24773702657059582,-0.2347170182298668,-0.22404961247142552,-0.21513111590039324,-0.20752746924581844,-0.20095739286604264,-0.1952067959950048,-0.19012865695221848,-0.18560467219160692,-0.18152961751536667,-0.17785215919913266,-0.17448635623458442,-0.16987187999626752},
+{-1.2608067841365953,-0.7696489454695297,-0.5268453542750537,-0.4139722237565553,-0.3504884653198044,-0.30919220260709857,-0.28515331607287164,-0.26400756887486043,-0.2476850496285672,-0.23466963852711276,-0.22400587959206453,-0.21509034315245001,-0.2074891546562374,-0.2009211531324424,-0.19517233382487564,-0.19009573473626196,-0.1855730978459671,-0.18149923655513556,-0.17782283977069024,-0.1744579902735608,-0.16984565492964343},
+{-1.2608819922314662,-0.769439024661791,-0.5266832104743937,-0.41385502250054973,-0.35039737326987375,-0.3091037074555989,-0.2850881154696716,-0.2639496986115222,-0.2476331089350574,-0.23462229188033357,-0.22396217724979106,-0.21504959887469388,-0.20745086684502922,-0.2008849387544962,-0.19513789579977248,-0.19006283561504445,-0.18554154567638959,-0.18146887696434222,-0.17779354099601674,-0.17442964431506347,-0.1698195340708044},
+{-1.260956080163433,-0.7692290085095632,-0.5265211420640172,-0.4137378929665725,-0.3503063410285412,-0.30901512773253126,-0.28502295464718674,-0.2638918684561058,-0.2475812044592276,-0.23457497826179008,-0.22391850541913483,-0.21500888304444432,-0.2074126057912249,-0.20084874971272226,-0.19510348190178517,-0.19002995957152446,-0.18551001566716163,-0.1814385387280928,-0.17776426286093328,-0.17440131834526573,-0.16979353192189484},
+{-1.261029050543858,-0.7690188976943375,-0.5263591490849422,-0.4136208351170785,-0.35021536855049273,-0.3089264655913051,-0.2849578336090013,-0.26383407837542183,-0.24752933617045025,-0.23452769764414239,-0.22387486407471657,-0.21496819563922598,-0.207374371474204,-0.20081258598809804,-0.19506909211314305,-0.18999710658884306,-0.18547850780246344,-0.1814082218314046,-0.17773500535142794,-0.17437301235038127,-0.16976766360676754},
+{-1.2611009059787637,-0.7688086928952451,-0.5261972315777899,-0.4135038489144387,-0.3501244557905481,-0.30883772320974945,-0.28489275235834777,-0.26377632833607123,-0.2474775040378816,-0.2344804499999218,-0.22383125319115793,-0.21492753663649067,-0.20733616387302467,-0.20077644756145618,-0.1950347264161323,-0.18996427665007198,-0.18544702206633135,-0.18137792625946725,-0.17770576845319752,-0.17434472631638132,-0.16974194466068804},
+{-1.2611716490688607,-0.76859839478912,-0.5260353895826979,-0.4133869343207821,-0.35003360270377737,-0.3087489027879857,-0.2848277108982198,-0.2637186183049218,-0.24742570803090214,-0.23443323530172622,-0.22378767274305833,-0.21488690601375682,-0.20729798296701452,-0.20074033441372752,-0.1950003847929178,-0.1899314697385419,-0.18541555844322088,-0.18134765199738156,-0.1776765521523913,-0.17431646022958036,-0.16971639081516265},
+{-1.2612412824095947,-0.7683880040505018,-0.5258736231394125,-0.4132700912985525,-0.3499428092450336,-0.30866000654719983,-0.2847627092314755,-0.2636609482487393,-0.24737394811899316,-0.23438605352234188,-0.22374412270520994,-0.21484630374862057,-0.2072598287355425,-0.20070424652582863,-0.1949660672259501,-0.18989868583733038,-0.18538411691740864,-0.18131739903038513,-0.17764735643483398,-0.17428821407605488,-0.1696910177881228},
+{-1.2613098085911396,-0.768177521351608,-0.5257119322873176,-0.4131533198097723,-0.34985207536950513,-0.3085710367278378,-0.28469774736044595,-0.2636033181345634,-0.24732222427163464,-0.23433890463467266,-0.22370060305232142,-0.21480572981867585,-0.2072217011581059,-0.20066818387891372,-0.19493177369754777,-0.18986592492999765,-0.1853526974734061,-0.18128716734387051,-0.1776181812866593,-0.17425998784209806,-0.169665841080763},
+{-1.261377230198402,-0.7679669473624189,-0.5255503170652833,-0.41303661981666284,-0.3497614010321186,-0.3084819955876581,-0.2846328252874839,-0.2635457279292628,-0.24727053645836472,-0.23429178861150124,-0.22365711375931197,-0.21476518420172175,-0.20718360021406745,-0.20063214645394156,-0.1948975041901826,-0.18983318699969276,-0.1853213000955427,-0.18125695692297716,-0.1775890266939868,-0.17423178151363095,-0.16964087578905973},
+{-1.2614435498109946,-0.7677562827505668,-0.5253887775118173,-0.4129199912814059,-0.34967078618791225,-0.3083928854004734,-0.28456794301457755,-0.263488177599994,-0.24721888464879171,-0.2342447054258776,-0.22361365480088802,-0.21472466687549474,-0.20714552588289958,-0.20059613423211564,-0.19486325868627885,-0.18980047202982497,-0.18528992476832196,-0.18122676775317004,-0.17755989264275662,-0.17420359507691074,-0.16961613643052464},
+{-1.2615087700033303,-0.767545528181496,-0.5252273136650041,-0.4128034341658746,-0.34958023079217204,-0.3083037084544653,-0.2845031005435872,-0.2634306671137372,-0.24716726881260875,-0.23419765505087886,-0.22357022615217437,-0.21468417781788185,-0.20710747814426522,-0.20056014719481352,-0.19482903716843847,-0.18976778000385197,-0.18525857147651603,-0.18119659981985947,-0.17753077911955328,-0.17417542851813783,-0.1695916367903405},
+{-1.2615728933445514,-0.7673346843183402,-0.5250659255624996,-0.41268694843230813,-0.34948973479999657,-0.3082144670508513,-0.2844382978759801,-0.2633731964378261,-0.24711568891958846,-0.2341506374595892,-0.22352682778801602,-0.21464371700659202,-0.20706945697788237,-0.2005241853231361,-0.19479483961916433,-0.18973511090539574,-0.18522724020452852,-0.18116645310853974,-0.17750168611030182,-0.1741472818233265,-0.16956738978724228},
+{-1.2616359223985825,-0.767123751821948,-0.5249046132416135,-0.41257053404255295,-0.3493992981668037,-0.3081251635022668,-0.28437353501296414,-0.26331576553936475,-0.24706414493947415,-0.2341036526253859,-0.22348345968358174,-0.21460328441973564,-0.2070314623633669,-0.20048824859849157,-0.194760666021065,-0.1897024647180019,-0.18519593093727194,-0.1811363276048672,-0.17747261360144595,-0.1741191549784662,-0.16954340736022822},
+{-1.2616978597241166,-0.7669127313510049,-0.5247433767391301,-0.4124541909585937,-0.34930892084766274,-0.3080358001312695,-0.28430881195573976,-0.26325837438578237,-0.24701263684221608,-0.23405670052151173,-0.22344012181383777,-0.21456288003523838,-0.2069934942805567,-0.20045233700231035,-0.19472651635686677,-0.1896698414252187,-0.1851646436593568,-0.18110622329422243,-0.1774435615794796,-0.1740910479689104,-0.16951970037637976},
+{-1.2617587078746595,-0.7667016235619015,-0.5245822160915377,-0.4123379191424039,-0.3492186027979294,-0.30794637926887525,-0.2842441287050743,-0.26320102294434866,-0.24696116459763262,-0.23400978112136217,-0.2233968141541185,-0.21452250383120797,-0.20695555270916044,-0.2004164505161099,-0.19469239060928656,-0.18963724101073343,-0.1851333783556215,-0.18107614016233997,-0.17741453003053698,-0.17406296077923322,-0.1694962785584493},
+{-1.2618184693984773,-0.7664904291088219,-0.5244211313349045,-0.4122217185557693,-0.34912834397310055,-0.3078569032533789,-0.2841794852615127,-0.26314371118262914,-0.2469097281757664,-0.23396289439850815,-0.22335353667954028,-0.214482155785777,-0.20691763762919546,-0.20038058912141699,-0.19465828876108437,-0.1896046634583497,-0.18510213501103756,-0.18104607819492857,-0.17738551894144372,-0.17403489339083977,-0.16947315043253486},
+{-1.2618771468387227,-0.7662791486437093,-0.5242601225048682,-0.4121055891605936,-0.34903814432844493,-0.307767374428912,-0.2841148816256087,-0.2630864390680787,-0.24685832754673287,-0.23391604032648372,-0.22331028936545705,-0.21444183587696086,-0.20687974902064354,-0.20034475279980946,-0.1946242107950762,-0.18957210875181252,-0.18507091361037054,-0.18101603737769034,-0.17735652829844373,-0.17400684577724457,-0.16945032329370546},
+{-1.2619347427332435,-0.766067782816285,-0.5240991896366278,-0.41198953091860524,-0.3489480038196322,-0.30767779514427973,-0.28405031779719137,-0.26302920656817586,-0.24680696268048097,-0.2338692188789553,-0.22326707218711395,-0.21440154408310974,-0.20684188686343719,-0.2003089415328625,-0.1945901566941095,-0.1895395768749677,-0.1850397141386777,-0.18098601769653255,-0.17732755808824407,-0.173978817888627,-0.16942780318853368},
+{-1.261991259614822,-0.7658563322740946,-0.5239383327650997,-0.41187354379159347,-0.3488579224020172,-0.3075881677514505,-0.2839857937762975,-0.26297201365062994,-0.24675563354731533,-0.23382243002961367,-0.2232238851201438,-0.2143612803825583,-0.20680405113764389,-0.20027315530250256,-0.19455612644117526,-0.18950706781165305,-0.18500853658093908,-0.18095601913718706,-0.17729860829760113,-0.17395080961735188,-0.1694055949128943},
+{-1.2620467000110398,-0.7656447976624863,-0.523777551924723,-0.4117576277413604,-0.3487679000311199,-0.3074984946045558,-0.2839213095625879,-0.2629148602830975,-0.2467043401173994,-0.23377567375234953,-0.22318072813980994,-0.2143210447535555,-0.20676624182337688,-0.20023739409034658,-0.1945221200191276,-0.18947458154578323,-0.18497738092240024,-0.18092604168559312,-0.17726967891301415,-0.17392282073128307,-0.16938370202359776},
+{-1.2621010664443273,-0.7654331796245961,-0.523616847149573,-0.411641782729502,-0.3486779366626944,-0.30740877805830547,-0.2838568651554896,-0.26285774643343096,-0.24665308236106975,-0.23372895002109484,-0.22313760122185267,-0.2142808371746585,-0.20672845890090796,-0.2002016578784005,-0.19448813741108717,-0.18944211806155709,-0.18494624714802832,-0.1808960853278383,-0.17724076992139626,-0.173894850766517,-0.1693621268612171},
+{-1.262154361431969,-0.7652214788013454,-0.5234562184732858,-0.4115260087177459,-0.3485880322522785,-0.30731902046744386,-0.2837924605542854,-0.26280067206930946,-0.2466018602486315,-0.2336822588097789,-0.22309450434174094,-0.21424065762415756,-0.20669070235052533,-0.20016594664853038,-0.1944541786000502,-0.18940967734280445,-0.18491513524296366,-0.18086615004973483,-0.17721188130950427,-0.17386689887539974,-0.16934087058470615},
+{-1.2622065874861084,-0.765009695831532,-0.5232956659291559,-0.4114103056676379,-0.34849818675571287,-0.30722922418528853,-0.28372809575779545,-0.26274363715868754,-0.24655067375049544,-0.23363560009253037,-0.22305143747539846,-0.2142005060807568,-0.20665297215236178,-0.20013026038269244,-0.19442024356913112,-0.18937725937384142,-0.1848840451926157,-0.1808362358375315,-0.17718301306425932,-0.1738389636368436,-0.16931993321346805},
+{-1.262257747113787,-0.7647978313518169,-0.5231351895501557,-0.41129467354084914,-0.3484084001286645,-0.307139391562516,-0.28366377076482463,-0.2626866416695006,-0.24649952283717091,-0.2335889738434198,-0.22300840059833815,-0.21416038252299519,-0.206615268287055,-0.20009459906287663,-0.19438633230150737,-0.18934486413879537,-0.18485297698227887,-0.18080634267709472,-0.17715416517248395,-0.17381104283808346,-0.16929931367688855},
+{-1.2623078428168966,-0.764585885996607,-0.5229747893687866,-0.41117911229891035,-0.34831867232681546,-0.3070495249462093,-0.28359948557399184,-0.2626296855697845,-0.2464484074790807,-0.2335423800367935,-0.22296539368648505,-0.21412028692946805,-0.20657759073483328,-0.20005896267125944,-0.19435244478038527,-0.1893124916217923,-0.1848219305971206,-0.18077647055489576,-0.17712533762124139,-0.17378313324849426,-0.1692790098706367},
+{-1.2623568770922702,-0.7643738603982231,-0.5228144654171363,-0.41106362190332346,-0.3482290033062032,-0.30695962667893895,-0.2835352401836557,-0.26257276882755054,-0.24639732764695177,-0.2334958186468694,-0.22292241671591428,-0.214080219279011,-0.20653993947625837,-0.20002335119005243,-0.19431858098898935,-0.18928014180718078,-0.18479090602287007,-0.18074661945701243,-0.17709653039769524,-0.1737552304026182,-0.1692590187160028},
+{-1.2624048524315845,-0.7641617551868072,-0.5226542177270272,-0.41094820231572937,-0.34813939302261954,-0.30686969909770667,-0.28347103459185297,-0.2625158914109216,-0.24634628331137742,-0.23344928964809242,-0.222879469662415,-0.21404017955023047,-0.2065023144919147,-0.19998776460139656,-0.19428474091086434,-0.1892478146793315,-0.1847599032445335,-0.18071678936956692,-0.17706774348863918,-0.17372732841018257,-0.16923933622382625},
+{-1.2624517713214791,-0.7639495709903736,-0.5224940463298486,-0.4108328534974479,-0.34804984143214135,-0.30677974453317525,-0.28340686879653276,-0.2624590532882176,-0.24629527444312593,-0.23340279301490474,-0.22283655250220713,-0.21400016772225516,-0.20646471576247905,-0.19995220288776405,-0.1942509245290931,-0.189215510222835,-0.18472892224797333,-0.18068698027917396,-0.17703897688140646,-0.17369941980941928,-0.1692199575601001},
+{-1.2624976362434788,-0.7637373084347991,-0.5223339512565288,-0.41071757540996945,-0.3479603484905658,-0.30668976530829406,-0.2833427427952251,-0.2624022544275393,-0.2462443010128692,-0.23335632872186451,-0.22279366521134936,-0.2139601837737266,-0.20642714326855227,-0.19991666603129454,-0.19421713182718925,-0.1891832284217898,-0.18469796301865804,-0.18065719217199616,-0.17701023056316734,-0.17367149547182992,-0.16920087711290588},
+{-1.262542449674119,-0.7635249681438938,-0.5221739325378161,-0.4106023680147497,-0.3478709141539942,-0.30659976373778974,-0.2832786565855101,-0.26234549479728564,-0.24619336299146877,-0.2333098967435432,-0.2227508077660798,-0.21392022768370067,-0.20638959699086667,-0.19988115401451534,-0.1941833627886549,-0.18915096926104447,-0.18466702554209125,-0.18062742503450258,-0.1769815045212404,-0.17364354456552977,-0.16918208856015715},
+{-1.2625862140847501,-0.7633125507392371,-0.5220139902038841,-0.4104872312730605,-0.3477815383785785,-0.30650974212709814,-0.2832146101645949,-0.26228877436577047,-0.2461424603498048,-0.23326349705470895,-0.22270798014275783,-0.21388029943122655,-0.2063520769101741,-0.1998456668198716,-0.19414961739692904,-0.1891187327249897,-0.18463610980398748,-0.18059767885315425,-0.17695279874287673,-0.1736155545769389,-0.16916358493616368},
+{-1.2626289319417892,-0.763100056840424,-0.5218541242846944,-0.41037216514644603,-0.3476922211203832,-0.3064197027718145,-0.28315060352967736,-0.2622320931014901,-0.2460915930588996,-0.23321712963008157,-0.22266518231768684,-0.21384039899527485,-0.20631458300757277,-0.19981020442998298,-0.19411589563561416,-0.18908651879844385,-0.1846052157900795,-0.180567953614434,-0.17692411321541446,-0.173587511388265,-0.16914535869898284},
+{-1.2626706057065271,-0.7628874870648508,-0.5216943348097631,-0.41025716959604397,-0.34760296233580323,-0.3063296479567863,-0.2830866366774636,-0.2621754509729586,-0.24604076108978168,-0.23317079444461086,-0.2226224142674238,-0.21380052635518165,-0.20627711526392378,-0.199774766827423,-0.19408219748849342,-0.1890543274660672,-0.18457434348605917,-0.1805382493052119,-0.17689544792620548,-0.1735593994052138,-0.1691274017944271},
+{-1.262711237835292,-0.7626748420278697,-0.5215346218082804,-0.41014224458330384,-0.34751376198088746,-0.30623957995512985,-0.28302270960462605,-0.2621188479487113,-0.24598996441346133,-0.23312449147303527,-0.22257967596849548,-0.2137606814899149,-0.20623967366009888,-0.1997393539948389,-0.19404852293901076,-0.1890221587126999,-0.18454349287776273,-0.18050856591169628,-0.17686680286284107,-0.17353120172658576,-0.16910970571951767},
+{-1.2627508307793323,-0.7624621223427264,-0.5213749853090119,-0.4100273900694984,-0.3474246200118687,-0.3061495010276176,-0.2829588223076165,-0.2620622839973783,-0.24593920300101502,-0.23307822069054396,-0.2225369673974522,-0.2137208643789572,-0.20620225817728688,-0.1997039659149471,-0.19401487197087564,-0.18899001252302527,-0.18451266395092958,-0.18047890342087936,-0.17683817801275525,-0.17350290034865878,-0.16909226158338564},
+{-1.26278938698494,-0.762249328620608,-0.5212154253404262,-0.40991260601578716,-0.3473355363852826,-0.3060594134221075,-0.2828949747827587,-0.26200575908756374,-0.24588847682378479,-0.23303198207207876,-0.22249428853119646,-0.2136810750015603,-0.2061648687966149,-0.19966860257063823,-0.1939812445680129,-0.18895788888200604,-0.18448185669171746,-0.1804492618194815,-0.1768095733636117,-0.17347447639271518,-0.16907506016520735},
+{-1.2628269088933504,-0.7620364614706214,-0.5210559419306446,-0.4097978923835721,-0.3472465110573797,-0.30596931937272753,-0.28283116702608035,-0.2619492731881956,-0.24583778585304028,-0.23298577559277334,-0.22245163934640377,-0.21364131333697367,-0.20612750549928727,-0.19963326394471315,-0.19394764071424353,-0.18892578777478164,-0.1844510710857854,-0.18041964109416364,-0.1767809889028955,-0.17344591034851264,-0.16905809197037192},
+{-1.2628633989408584,-0.7618235214997651,-0.5208965351073558,-0.4096832491338769,-0.3471575439847401,-0.30587922109950405,-0.2827673990334456,-0.26189282626793275,-0.24578713005995523,-0.23293960122793766,-0.22240901981999261,-0.2136015793648296,-0.20609016826655946,-0.1995979500201197,-0.193914060393237,-0.1888937091863201,-0.18442030711927782,-0.18039004123199165,-0.17675242461836538,-0.17341718232601222,-0.16904134728256226},
+{-1.262898859558723,-0.7616105093130605,-0.5207372048979471,-0.4095686762280031,-0.34706863512379726,-0.305789120807229,-0.28270367080046643,-0.261836418295768,-0.24573650941602976,-0.23289345895272984,-0.22236642992898403,-0.21356187306451568,-0.2060528570797726,-0.19956266077979024,-0.19388050358917885,-0.18886165310158098,-0.18438956477835156,-0.18036046221965174,-0.1767238804977711,-0.17338827230512388,-0.16902481621408016},
+{-1.2629332931732762,-0.7613974255134048,-0.5205779513294924,-0.40945417362715064,-0.3469797844310105,-0.30569902068528565,-0.2826399823227943,-0.26178004924054354,-0.2456859238926823,-0.23284734874265034,-0.22232386965036355,-0.2135221944157375,-0.2060155719203034,-0.19952739620678095,-0.19384697028593267,-0.18882961950579968,-0.18435884404896496,-0.18033090404434526,-0.17669535652879453,-0.17335916038032595,-0.1690084887519987},
+{-1.2629667022058446,-0.7611842707017169,-0.5204187744286117,-0.40933974129240003,-0.3468909918631171,-0.30560892290678154,-0.2825763335956353,-0.2617237190713464,-0.24563537346134012,-0.2328012705730238,-0.22228133896135116,-0.2134825433979466,-0.2059783127697581,-0.19949215628422357,-0.19381346046753212,-0.1887976083842906,-0.18432814491744232,-0.1803013666930231,-0.1766668526993449,-0.1733298269919712,-0.16899235480194674},
+{-1.2629990890728509,-0.7609710454767717,-0.5202596742216739,-0.40922537918492896,-0.3468022573767162,-0.30551882962838794,-0.2825127246143473,-0.2616674277572004,-0.24558485809379071,-0.23275522441933472,-0.22223883783922327,-0.2134429199909884,-0.20594107960955066,-0.19945694099528222,-0.19377997411803216,-0.18876561972231443,-0.18429746736993025,-0.18027185015275826,-0.17663836899721863,-0.17330025314230113,-0.16897640422843008},
+{-1.2630304561856762,-0.7607577504354177,-0.5201006507346371,-0.4091110872657704,-0.34671358092861393,-0.30542874298960765,-0.2824491553735853,-0.26161117526718414,-0.2455343777613983,-0.23270921025720925,-0.22219636626111328,-0.21340332417448993,-0.20590387242130692,-0.19942175032318143,-0.19374651122166409,-0.18873365350520244,-0.1842668113926771,-0.1802423544108156,-0.17660990541031163,-0.17327042059178854,-0.1689606268926389},
+{-1.2630608059508774,-0.7605443861724324,-0.5199417039931689,-0.4089968654960643,-0.3466249624754312,-0.3053386651122665,-0.2823856258683426,-0.26155496157056035,-0.24548393243605204,-0.23266322806216344,-0.222153924204755,-0.2133637559284205,-0.20586669118675793,-0.19938658425115197,-0.19371307176250996,-0.1887017097183108,-0.1842361769720111,-0.18021287945422237,-0.17658146192667923,-0.17324031203314938,-0.16894501268612494},
+{-1.2630901407699895,-0.7603309532805957,-0.5197828340225485,-0.4088827138368969,-0.346536401973931,-0.3052485980999369,-0.2823221360932293,-0.2614987866364804,-0.24543352208935554,-0.232617277809974,-0.22211151164737108,-0.21332421523256695,-0.2058295358874882,-0.19935144276246541,-0.19367965572490098,-0.1886697883471422,-0.1842055640944511,-0.1801834252704313,-0.17655303853426796,-0.17320991124406593,-0.16892955156326206},
+{-1.263118463039707,-0.7601174523506962,-0.5196240408477513,-0.40876863224930915,-0.3464478993812157,-0.30515854403771625,-0.2822586860427676,-0.26144265043446113,-0.2453831466933054,-0.23257135947650998,-0.22206912856671046,-0.21328470206704475,-0.2057924065055441,-0.19931632584071624,-0.19364626309311506,-0.18863788937724246,-0.184174972746467,-0.18015399184674585,-0.17652463522122241,-0.17317920321473412,-0.16891423356900281},
+{-1.2631457751517674,-0.759903883971413,-0.5194653244933978,-0.4086546206943318,-0.3463594546539501,-0.305068504991727,-0.282195275711258,-0.26138655293365254,-0.24533280621967224,-0.23252547303732252,-0.22202677494032086,-0.21324521641163496,-0.20575530302266154,-0.1992812334692493,-0.1936128938514612,-0.1886060127940885,-0.18414440291429957,-0.1801245791705024,-0.17649625197559038,-0.17314817425314288,-0.16889904886520668},
+{-1.2631720794929922,-0.7596902487295625,-0.5193066849837158,-0.40854067913294667,-0.3462710677493952,-0.3049784830089597,-0.28213190509283015,-0.26133049410359144,-0.24528250064040646,-0.23247961846854537,-0.22198445074614703,-0.2132057582466773,-0.20571822542076657,-0.19924616563154673,-0.19357954798435495,-0.18857415858362492,-0.18411385458480334,-0.18009518722911322,-0.17646788878549557,-0.173116812067442,-0.1688839877541155},
+{-1.263197378445339,-0.7594765472099008,-0.5191481223427399,-0.40842680752620186,-0.3461827386243854,-0.30488848011630587,-0.2820685741814275,-0.26127447391375025,-0.2452322299275278,-0.23243379574603873,-0.22194215596194677,-0.21316632755217801,-0.20568117368181138,-0.1992111223110542,-0.1935462254763265,-0.18854232673131843,-0.18408332774448644,-0.18006581601022864,-0.1764395456392367,-0.17308510582574677,-0.16886904069848185},
+{-1.263221674385901,-0.7592627799952125,-0.5189896365940849,-0.408313005835097,-0.3460944672359316,-0.30479849832075834,-0.28200528297097494,-0.26121849233377104,-0.24518199405307906,-0.23238800484580802,-0.22189989056559645,-0.2131269243084466,-0.20564414778804085,-0.19917610349151627,-0.19351292631176253,-0.18851051722303325,-0.18405282237993825,-0.18003646550125474,-0.1764112225248926,-0.17305304619667172,-0.16885419834048898},
+{-1.2632449696868664,-0.7590489476663378,-0.518831227760967,-0.4081992740205247,-0.34600625354134795,-0.30470853960873656,-0.28194203145529384,-0.26116254933314753,-0.24513179298926024,-0.23234224574398477,-0.22185765453528505,-0.21308754849579792,-0.20560714772139832,-0.1991411091565065,-0.19347965047530558,-0.18847873004450033,-0.18402233847813987,-0.18000713569004345,-0.17638291943103646,-0.17302062537017848,-0.16883945151694402},
+{-1.2632672667155318,-0.7588350508020689,-0.5186728958664055,-0.4080856120436289,-0.34591809749773894,-0.3046186059461151,-0.28187881962785477,-0.2611066448815422,-0.24508162670826206,-0.23229651841671117,-0.22181544784894847,-0.21304820009451708,-0.20557017346419126,-0.1991061392897726,-0.19344639795165453,-0.18844696518163717,-0.1839918760255146,-0.17997782656393735,-0.176354636345748,-0.1729878370611,-0.168824791273551},
+{-1.2632885678344377,-0.7586210899792978,-0.5185146409330232,-0.4079720198650896,-0.3458299990624556,-0.30452869927783377,-0.2818156474822091,-0.26105077894888273,-0.24503149518238132,-0.23225082284027065,-0.22177327048507545,-0.2130088790852458,-0.20553322499875426,-0.19907119387530026,-0.19341316872561043,-0.18841522262072452,-0.18396143500929218,-0.17994853811115696,-0.1763263732576701,-0.17295467649795304,-0.16881020887657172},
+{-1.263308875401169,-0.7584070657729396,-0.5183564629831281,-0.407858497446004,-0.3457419581926846,-0.30443882152734414,-0.2817525150115272,-0.2609949515047312,-0.2449813983838367,-0.2322051589907681,-0.22173112242162318,-0.21296958544831224,-0.20549630230716742,-0.19903627289645076,-0.1933799627814321,-0.18838350234721224,-0.18393101541598744,-0.17991927031897692,-0.1762981301548514,-0.17292114039676498,-0.16879569582166987},
+{-1.2633281917685681,-0.7581929787559933,-0.5181983620387074,-0.40774504474734163,-0.3456539748457783,-0.3043489745965742,-0.2816894222090931,-0.26093916251904314,-0.24493133628514796,-0.23215952684466146,-0.22168900363711375,-0.21293031916431948,-0.20545940537191987,-0.1990013763373506,-0.19334678010429673,-0.1883518043474428,-0.18390061723272266,-0.17989002317558977,-0.1762699070260374,-0.17288722692452074,-0.1687812438433003},
+{-1.2633465192845377,-0.7579788294994458,-0.5180403381214185,-0.40763166172978504,-0.34556604897915966,-0.3042591603656355,-0.28162636906792393,-0.260883411961657,-0.24488130885866166,-0.23211392637831363,-0.22164691411006965,-0.21289108021388792,-0.2054225341754461,-0.19896650418175854,-0.19331362067889568,-0.1883201286074323,-0.18387024044647227,-0.1798607966686956,-0.17624170385978966,-0.17285293565141702,-0.16876684491972282},
+{-1.2633638602922908,-0.757764618572419,-0.5178823912526624,-0.40751834835449774,-0.3454781805503222,-0.30416938069272925,-0.2815633555810795,-0.26082769980253584,-0.24483131607702413,-0.23206835756816968,-0.22160485381891792,-0.21285186857783733,-0.20538568870027873,-0.19893165641371535,-0.19328048449024138,-0.18828847511333446,-0.18383988504414805,-0.17983159078630662,-0.17621352064436424,-0.1728182674944363,-0.1687524912786338},
+{-1.2633802171301354,-0.7575503465420528,-0.5177245214534074,-0.4074051045821694,-0.34539036951697266,-0.3040796374142358,-0.28150038174124026,-0.26077202601172944,-0.2447813579127902,-0.2320228203909207,-0.22156282274232453,-0.21281268423687028,-0.20534886892907922,-0.19889683301735372,-0.193247371523261,-0.18825684385156327,-0.18380955101307483,-0.17980240551668336,-0.1761853573687504,-0.17278322465520057,-0.16873817540072977},
+{-1.263395592131603,-0.7573360139735945,-0.5175667287444226,-0.40729193037378364,-0.3453026158364638,-0.303989932343665,-0.2814374475411965,-0.2607163905592116,-0.24473143433867772,-0.23197731482292028,-0.22152082085908908,-0.21277352717188913,-0.20531207484431047,-0.19886203397661273,-0.19321428176303002,-0.1882252348082325,-0.18377923834036647,-0.1797732408475512,-0.17615721402155637,-0.17274781055016852,-0.1687238900209831},
+{-1.2634099876254523,-0.7571216214303556,-0.5174090131460698,-0.4071788256902158,-0.3452149194663714,-0.3039002672720854,-0.2813745529735283,-0.2606607934150853,-0.24468154532727926,-0.2319318408410158,-0.22147884814783358,-0.2127343973637057,-0.20527530642881775,-0.19882725927544076,-0.19318121519458042,-0.1881936479697277,-0.18374894701302846,-0.17974409676722258,-0.1761290905912407,-0.17271202973895017,-0.1687096281314311},
+{-1.263423405935662,-0.7569071694737308,-0.5172513746784508,-0.40706579049217106,-0.34512728036459883,-0.3038106439680419,-0.2813116980307946,-0.2606052345494776,-0.24463169085151648,-0.2318863984217292,-0.22143690458754595,-0.21269529479338534,-0.2052385636652283,-0.19879250889829292,-0.19314817180300992,-0.18816208332227857,-0.1837186770186401,-0.17971497326385544,-0.1761009870668473,-0.17267588784755805,-0.16869538298012277},
+{-1.2634358493814108,-0.7566926586632416,-0.5170938133613818,-0.4069528247407539,-0.3450396984888,-0.30372106417730604,-0.2812488827054902,-0.26054971393261406,-0.24458187088428485,-0.2318409875418781,-0.22139499015707775,-0.21265621944185886,-0.2052018465365406,-0.19875778282920997,-0.19311515157363557,-0.1881305408524332,-0.1836884283442335,-0.17968587032558414,-0.17607290343706294,-0.17263939149112373,-0.16868114807140433},
+{-1.2634473202771392,-0.7564780895564631,-0.5169363292142992,-0.4068399283965243,-0.3449521737969463,-0.3036315296226455,-0.2811861069896855,-0.2604942315346843,-0.24453208539839588,-0.23179560817844846,-0.22135310483555815,-0.21261717129036528,-0.2051651550256035,-0.19872308105235215,-0.1930821544916812,-0.1880990205467712,-0.1836582009774821,-0.17965678794100626,-0.1760448396907286,-0.1726025481951834,-0.16866691716453142},
+{-1.263457820932493,-0.7562634627091347,-0.5167789222564352,-0.4067271014205014,-0.34486470624670407,-0.3035420420039059,-0.2811233708756382,-0.26043878732598147,-0.2444823343670044,-0.23175026030813584,-0.22131124860205853,-0.2125781503199029,-0.20512848911535952,-0.19868840355224915,-0.19304918054239018,-0.18806752239167146,-0.18362799490553927,-0.1796277260980994,-0.17601679581682905,-0.17256536631632713,-0.16865268427145486},
+{-1.2634673536524312,-0.75604877867507,-0.5166215925066058,-0.4066143437735623,-0.34477729579596117,-0.3034526029977931,-0.28106067435560167,-0.2603833812767915,-0.2444326177630809,-0.23170494390797192,-0.2212694214357387,-0.2125391565120034,-0.20509184878878584,-0.1986537503131709,-0.19301622971130117,-0.18803604637379046,-0.18359781011619303,-0.17959868478544427,-0.1759887718043407,-0.1725278549644318,-0.16863844365483605},
+{-1.2634759207371105,-0.7558340380062165,-0.516464339983377,-0.4065016554163656,-0.34468994240296436,-0.3033632142576206,-0.2809980174214948,-0.2603280133574275,-0.24438293555982327,-0.23165965895505503,-0.22122762331592272,-0.21250018984752428,-0.20505523402905057,-0.19861912131940018,-0.19298330198380986,-0.18800459247976997,-0.1835676465968752,-0.1795696639914346,-0.17596076764222612,-0.17249002392472113,-0.16862418982426908},
+{-1.2634835244820366,-0.7556192412526399,-0.5163071647050845,-0.4063890363098892,-0.34460264602552826,-0.303273877413778,-0.28093540006546336,-0.2602726835383713,-0.24433328773049556,-0.2316144054263649,-0.22118585422185566,-0.21246125030803942,-0.20501864481942933,-0.19858451655551645,-0.1929503973454283,-0.18797316069629533,-0.18353750433515392,-0.179540663704711,-0.17593278331957318,-0.17245188358384222,-0.16860991753395815},
+{-1.2634901671779155,-0.7554043889625321,-0.5161500666896148,-0.4062764864147712,-0.34451540662198044,-0.3031845940732918,-0.28087282227906885,-0.26021739178990977,-0.24428367424826725,-0.23156918329897147,-0.22114411413290247,-0.21242233787500941,-0.20498208114299077,-0.19854993600603255,-0.19291751578170535,-0.18794175101009625,-0.18350738331891447,-0.17951168391355443,-0.17590481882543596,-0.17241344485526255,-0.16859562177821275},
+{-1.2634958511107894,-0.7551894816822735,-0.5159930459546942,-0.4061640056919633,-0.3444282241502581,-0.3030953658197908,-0.2808102840542208,-0.2601621380825452,-0.24423409508657556,-0.23152399255009337,-0.22110240302877715,-0.21238345252981805,-0.2049455429830216,-0.19851537965549682,-0.19288465727832538,-0.18791036340802947,-0.1834772835356615,-0.1794827246067232,-0.1758768741490404,-0.17237471910982904,-0.16858129778735664},
+{-1.263500578561983,-0.7549745199562958,-0.5158361025177003,-0.40605159410229197,-0.34434109856858885,-0.3030061942135278,-0.2807477853825069,-0.26010692238675936,-0.24418455021887775,-0.23147883315697193,-0.22106072088874162,-0.21234459425405827,-0.20490903032310515,-0.1984808474884847,-0.19285182182102512,-0.18787899787686202,-0.18344720497338862,-0.17945378577298454,-0.17584894927972305,-0.17233571810787218,-0.16856694102384662},
+{-1.263504351808154,-0.7547595043273101,-0.5156792363957257,-0.40593925160647304,-0.3442540298354895,-0.30291708079143476,-0.2806853262558091,-0.2600517446731194,-0.2441350396185582,-0.231433705096995,-0.22101906769274393,-0.21230576302937232,-0.20487254314649173,-0.19844633948970447,-0.19281900939561725,-0.1878476544035741,-0.183417147620069,-0.1794248674008676,-0.17582104420662992,-0.17229645393437032,-0.16855254717733814},
+{-1.2635071731212415,-0.754544435336062,-0.5155224476055129,-0.40582697816535873,-0.34416701790912585,-0.30282802706708,-0.28062290666545975,-0.2599966049120894,-0.2440855632594512,-0.2313886083472676,-0.22097744342024672,-0.21226695883726254,-0.2048360814368695,-0.19841185564385588,-0.19278621998782386,-0.18781633297512457,-0.18338711146317888,-0.1793959694790659,-0.1757931589191135,-0.17225693893786476,-0.16853811215968184},
+{-1.2635090447685222,-0.7543293135214988,-0.5153657361636266,-0.4057147737397018,-0.3440800627479974,-0.302739034530886,-0.2805605266029336,-0.2599415030743284,-0.24403612111500417,-0.2313435428854782,-0.2209358480512016,-0.21222818165967317,-0.20479964517757532,-0.19837739593566317,-0.19275345358369433,-0.18778503357864862,-0.18335709649132914,-0.17936709199661083,-0.17576529340658098,-0.17221718567290356,-0.16852363210053412},
+{-1.2635099690125942,-0.7541141394207795,-0.5152091020862728,-0.4056026382904103,-0.34399316431044946,-0.3026501046497003,-0.2804981860595759,-0.25988643913043186,-0.24398671315897058,-0.23129850868886104,-0.22089428156528168,-0.21218943147826774,-0.20476323435248167,-0.1983429603499669,-0.19272071016915104,-0.18775375620106471,-0.18332710269217634,-0.17933823494202228,-0.17573744765843902,-0.1721772068448182,-0.16850910334160263},
+{-1.2635099481114735,-0.7538989135692173,-0.5150525453893984,-0.4054905717781967,-0.3439063225550312,-0.3025612388670065,-0.28043588502672145,-0.2598314130511068,-0.24393733936519135,-0.23125350573508285,-0.22085274394264598,-0.21215070827487992,-0.20472684894525495,-0.1983085488717129,-0.19268798973029266,-0.1877225008297243,-0.18329713005403425,-0.17930939830443693,-0.17570962166419424,-0.17213701525951786,-0.16849452243157792},
+{-1.263508984318419,-0.7536836365003119,-0.5148960660886499,-0.40537857416387846,-0.3438195374403872,-0.30247243860322204,-0.28037362349580697,-0.259776424806911,-0.24388799970754782,-0.23120853400156083,-0.22081123516322743,-0.21211201203159824,-0.204690488939534,-0.1982741614857102,-0.1926552922531446,-0.1876912674515645,-0.18326717856508568,-0.17928058207281383,-0.17568181541345007,-0.1720966237757331,-0.1684798861207213},
+{-1.2635070798821002,-0.7534683087456897,-0.5147396641994155,-0.40526664540837265,-0.34373280892513414,-0.3023837052553584,-0.2803114014577277,-0.2597214743686451,-0.24383869416004122,-0.23116359346590798,-0.22076975520699582,-0.21207334273016043,-0.20465415431941603,-0.1982397981769486,-0.19262261772398093,-0.1876600560540327,-0.18323724821331977,-0.1792517862360019,-0.17565402889571402,-0.17205604526034923,-0.1684651913558386},
+{-1.2635042370465541,-0.7532529308352254,-0.5145833397367716,-0.4051547854723321,-0.3436461369681343,-0.30229504019772646,-0.28024921890378707,-0.25966656170710367,-0.24378942269670256,-0.23111868410591851,-0.220728304054282,-0.21203470035288952,-0.20461784506865888,-0.19820545893066743,-0.19258996612911794,-0.18762886662456868,-0.18320733898742114,-0.17922301078313163,-0.1756262621006952,-0.1720152925488483,-0.16845043527392445},
+{-1.2635004580512263,-0.7530375032969956,-0.514427092715513,-0.4050429943166267,-0.3435595215279368,-0.302206444781024,-0.2801870758248022,-0.25961168679296165,-0.24374018529159835,-0.23107380589917037,-0.22068688168522232,-0.2119960848817648,-0.20458156117136683,-0.1981711437315843,-0.192557337454776,-0.18759769915034452,-0.18317745087555126,-0.1791942557031967,-0.17559851501805657,-0.17197437840662388,-0.16843561519735362},
+{-1.2634957451309408,-0.75282202665731,-0.5142709231502383,-0.4049312719021052,-0.3434729625633448,-0.30211792033314566,-0.2801249722118877,-0.2595568495970868,-0.24369098191897942,-0.23102895882359542,-0.22064548808017603,-0.21195749629910177,-0.20454530261153714,-0.19813685256512814,-0.192524731687433,-0.18756655361905628,-0.183147583866349,-0.1791655209854932,-0.17557078763753875,-0.1719333154956999,-0.1684207286277548},
+{-1.2634901005158299,-0.7526065014405969,-0.5141148310551249,-0.40481961818948964,-0.34338646003346396,-0.3020294681589184,-0.2800629080558328,-0.25950205009037086,-0.2436418125530797,-0.23098414285676006,-0.22060412321957656,-0.21191893458695077,-0.20450906937330737,-0.19810258541625858,-0.19249214881344834,-0.18753543001781114,-0.18311773794816366,-0.17913680661898157,-0.1755430799490565,-0.17189211634319124,-0.16840577324052575},
+{-1.263483526431564,-0.752390928169576,-0.513958816444259,-0.4047080331397872,-0.3433000138971183,-0.30194108954045706,-0.2800008833475931,-0.2594472882436394,-0.2435926771682846,-0.23093935797671605,-0.22056278708369215,-0.21188039972768102,-0.20447286144081067,-0.19806834227035797,-0.19245958881939007,-0.1875043283345108,-0.18308791310940276,-0.1791081125930276,-0.17551539194235044,-0.1718507933130491,-0.16839074687957734},
+{-1.2634760250991248,-0.752175307365184,-0.5138028793313012,-0.4045965167135783,-0.34321362411348666,-0.30185278573737584,-0.2799388980777273,-0.25939256402792843,-0.24354357573911267,-0.2308946041612896,-0.22052147965317737,-0.2118418917038123,-0.20443667879842176,-0.19803412311274382,-0.1924270516919364,-0.18747324855670522,-0.1830581093390573,-0.17907943889705225,-0.17548772360740772,-0.17180935858146018,-0.16837564755138779},
+{-1.2634675987349864,-0.7519596395465742,-0.5136470197297021,-0.4044850688719004,-0.3431272906414735,-0.3017645579862567,-0.2798769522369855,-0.25933787741398495,-0.24349450823997154,-0.2308498813884703,-0.22048020090874987,-0.21180341049766715,-0.20440052143044563,-0.19799992792868526,-0.19239453741761725,-0.18744219067200696,-0.18302832662549706,-0.17905078552009712,-0.17546007493418703,-0.1717678241130729,-0.16836047341889238},
+{-1.2634582495509936,-0.7517439252310956,-0.5134912376527132,-0.40437368957549946,-0.343041013440172,-0.3016764075011644,-0.27981504581593697,-0.2592832283730888,-0.24344547464547972,-0.23080518963630148,-0.22043895083078535,-0.21176495609188484,-0.20436438932132717,-0.19796575670354244,-0.19236204598329731,-0.1874111546682129,-0.1829985649576078,-0.1790221524517155,-0.17543244591262752,-0.17172620164307428,-0.1683452227975213},
+{-1.2634479797544917,-0.7515281649343999,-0.5133355331131564,-0.4042623787852091,-0.3429547924690244,-0.30158833547393193,-0.27975317880519324,-0.2592286168760629,-0.24339647493038363,-0.23076052888279808,-0.22039772940030522,-0.21172652846895046,-0.20432828245542867,-0.19793160942283938,-0.19232957737556022,-0.1873801405330826,-0.18296882432425354,-0.17899353968134424,-0.17540483653297922,-0.1716845026582563,-0.1683298941475675},
+{-1.2634367915481994,-0.751312359170371,-0.5131799061237938,-0.40415113646194945,-0.34286862768713844,-0.3015003430739598,-0.27969135119520727,-0.2591740428941067,-0.24334750906946034,-0.23071589910603318,-0.2203565365979676,-0.2116881276113638,-0.20429220081744282,-0.19789748607207924,-0.19229713158155626,-0.1873491482544205,-0.1829391047140625,-0.17896494719828748,-0.1753772467853052,-0.1716427383830199,-0.16831448607061095},
+{-1.2634246871303991,-0.7510965084510886,-0.5130243566969432,-0.4040399625664839,-0.342782519054015,-0.3014124314487425,-0.27962956297622155,-0.25911950639833936,-0.24329857703748514,-0.23067130028425709,-0.22031537240471089,-0.21164975350220372,-0.2042561443918829,-0.19786338663679937,-0.19226470858795697,-0.18731817782017446,-0.1829094061161891,-0.17893637499240356,-0.17534967665975376,-0.17160091976638192,-0.16829899730336084},
+{-1.263411668694716,-0.7508806132869865,-0.5128688848447864,-0.40392885705974546,-0.3426964665289467,-0.3013246017234956,-0.2795678141385385,-0.2590650073598817,-0.24324967880945403,-0.2306267323956379,-0.22027423680139213,-0.21161140612400198,-0.2042201131634438,-0.1978293111026468,-0.1922323083818216,-0.1872872292183625,-0.18287972851943834,-0.1789078230530068,-0.17532212614665887,-0.1715590574718595,-0.16828342671201302},
+{-1.2633977384303599,-0.7506646741866803,-0.5127134905791633,-0.40381781990262633,-0.34261047007127754,-0.30123685500161423,-0.27950610467252446,-0.25901054575002913,-0.2432008143603972,-0.23058219541850455,-0.22023312976916376,-0.21157308545971532,-0.20418410711678137,-0.19779525945529075,-0.19219993095018273,-0.18725630243687386,-0.18285007191312097,-0.17887929136999414,-0.17529459523637048,-0.1715171618686,-0.16826777328798048},
+{-1.263382898521948,-0.7504486916570927,-0.5125581739117036,-0.4037068510559738,-0.3425245296407722,-0.30114919236461324,-0.2794444345682261,-0.2589561215400007,-0.24315198366534707,-0.23053768933111707,-0.22019205128892638,-0.2115347914920953,-0.20414812623697332,-0.19776123168045556,-0.19216757628027015,-0.18722539746393085,-0.18282043628609923,-0.17885077993280607,-0.17526708391924295,-0.1714752430245099,-0.16825203614181827},
+{-1.2633671511496454,-0.7502326662033869,-0.5124029348537698,-0.4035959504807658,-0.34243864519691325,-0.3010616148725256,-0.27938280381597913,-0.2589017347011553,-0.24310318669962339,-0.23049321411193224,-0.22015100134200738,-0.21149652420429854,-0.2041121705086839,-0.19772722776386153,-0.19213524435912888,-0.1871945142877003,-0.18279082162754978,-0.17882228873145056,-0.17523959218548413,-0.17143331070146495,-0.16823621449880655},
+{-1.2633504984890567,-0.7500165983290517,-0.5122477734164872,-0.40348511813771326,-0.3423528166994654,-0.3009741235642007,-0.2793212124054243,-0.2588473852048292,-0.24305442343843398,-0.23044876973934203,-0.22010997990938153,-0.2114582835792036,-0.20407623991683232,-0.1976932476914941,-0.19210293517397403,-0.1871636528962437,-0.18276122792664484,-0.17879381775546577,-0.17521212002570952,-0.17139137435085416,-0.16822030769394125},
+{-1.2633329427113629,-0.7498004885358143,-0.5120926896107156,-0.4033743539879655,-0.3422670441080977,-0.300886719456797,-0.2792596603266606,-0.2587930730224799,-0.24300569385707416,-0.23040435619174815,-0.22006898697252408,-0.21142006960016824,-0.20404033444669167,-0.19765929144908823,-0.19207064871217927,-0.1871328132778345,-0.1827316551727476,-0.17876536699489964,-0.17518466743044048,-0.17134944311267297,-0.16820431516686973},
+{-1.2633144859832122,-0.7495843373237321,-0.5119376834470422,-0.4032636579922828,-0.34218132738241636,-0.3007994035464847,-0.27919814756946204,-0.25873879812554623,-0.24295699793105996,-0.23035997344780235,-0.2200280225126403,-0.21138188225012433,-0.2040044540830359,-0.19762535902274259,-0.19203838496102055,-0.18710199542088546,-0.18270210335502135,-0.17873693643964206,-0.17515723439030229,-0.17130752581252562,-0.16818823645750225},
+{-1.2632951304668212,-0.7493681451911522,-0.5117827549358585,-0.4031530301116941,-0.3420956664826096,-0.3007121768084806,-0.27913667412377263,-0.25868456048564603,-0.24290833563594827,-0.2303156214861608,-0.21998708651129828,-0.21134372151249803,-0.20396859881124385,-0.19759145039841153,-0.1920061439080758,-0.18707119931386362,-0.18267257246327073,-0.17870852607967969,-0.17512982089602325,-0.1712656309631102,-0.1681720712014272},
+{-1.2632748783198968,-0.7491519126346782,-0.5116279040872209,-0.40304247030717155,-0.3420100613684216,-0.30062504019713243,-0.27907523997923844,-0.2586303600742914,-0.24285970694730175,-0.23027130028528342,-0.21994617894966728,-0.21130558737047123,-0.20393276861642606,-0.19755756556208492,-0.19197392554057213,-0.1870404249449633,-0.18264306248631001,-0.17868013590490683,-0.1751024269381709,-0.17122376676361029,-0.16815581912482802},
+{-1.2632537316957018,-0.7489356401492839,-0.5114731309110438,-0.40293197853954554,-0.34192451199998564,-0.30053799464652187,-0.27901384512535277,-0.2585761968631486,-0.24281111184081494,-0.23022700982409638,-0.21990529980945883,-0.2112674798074936,-0.2038969634837562,-0.19752370450009593,-0.19194172984620206,-0.18700967230300414,-0.18261357341393492,-0.17865176590567167,-0.1750750525074718,-0.17118194110255036,-0.16813948004129653},
+{-1.2632316927430853,-0.7487193282282072,-0.5113184354169356,-0.40282155476993475,-0.34183901833727237,-0.30045104106991394,-0.27895248955171237,-0.258522070823906,-0.24276255029239113,-0.23018275008115197,-0.2198644490721926,-0.21122939880715297,-0.20386118339876447,-0.19748986719842865,-0.19190955681227972,-0.18697894137650106,-0.18258410523566493,-0.17862341607185872,-0.17504769759489136,-0.1711401615590349,-0.16812305384615467},
+{-1.2632087636064555,-0.7485029773630376,-0.5111638176143107,-0.4027111989592891,-0.34175358034030534,-0.3003641803603503,-0.2788911732477586,-0.2584679819285025,-0.24271402227770755,-0.23013852103542254,-0.21982362671955658,-0.21119134435279197,-0.20382542834674222,-0.19745605364347796,-0.19187740642693552,-0.1869482321540321,-0.1825546579410462,-0.17859508639372823,-0.17502036219112327,-0.17109843540689962,-0.168106540513568},
+{-1.2631849464257434,-0.7482865880436975,-0.5110092775122639,-0.4026009110686126,-0.34166819796949666,-0.30027741339085834,-0.27882989620300735,-0.25841393014863545,-0.2426655277729135,-0.23009432266577523,-0.21978283273322807,-0.21115331642809476,-0.20378969831312332,-0.19742226382150374,-0.19184527867737344,-0.18691754462430676,-0.18252523151991618,-0.178566776861679,-0.17499304628720402,-0.17105676961711946,-0.1680899400920337},
+{-1.2631602433364781,-0.7480701607583773,-0.5108548151197492,-0.40249069105902313,-0.3415828711849387,-0.3001907410144926,-0.2787686584066984,-0.2583599154561962,-0.24261706675400774,-0.23005015495098347,-0.21974206709500832,-0.21111531501671044,-0.20375399328353172,-0.1973884977188387,-0.19181317355166616,-0.18688687877621302,-0.182495825961432,-0.17853848746571366,-0.1749657498740982,-0.1710151708628027,-0.16807325270026485},
+{-1.2631346564698118,-0.7478536959936501,-0.5107004304453979,-0.40238053889135017,-0.34149759994720297,-0.30010416406501106,-0.27870745984807677,-0.2583059378233199,-0.24256863919705163,-0.2300060178701413,-0.21970132978665768,-0.21107734010253631,-0.20371831324339507,-0.19735475532211222,-0.1917810910375639,-0.18685623459855538,-0.18246644125587164,-0.17851021819643087,-0.17493847294281917,-0.17097364552298977,-0.16805647852407013},
+{-1.2631081879524335,-0.7476371942344162,-0.5105461234976598,-0.40227045452680743,-0.3414123842164911,-0.3000176833561925,-0.2786463005161641,-0.2582519972218975,-0.24252024507826597,-0.22996191140227618,-0.21966062079014526,-0.2110393916691975,-0.20368265817850784,-0.19732103661764366,-0.19174903112286046,-0.18682561208032755,-0.18243707739271642,-0.17848196904413882,-0.1749112154843777,-0.17093219968783036,-0.16803961781211907},
+{-1.2630808399067015,-0.7474206559639267,-0.510391894284715,-0.4021604379264545,-0.34132722395321835,-0.29993129968262977,-0.2785851804002544,-0.25819809362417434,-0.24247188437411182,-0.2299178355264937,-0.2196199400873855,-0.21100146970071387,-0.2036470280743492,-0.1972873415920784,-0.19171699379554052,-0.18679501121044506,-0.1824077343619539,-0.1784537399994539,-0.17488397749015228,-0.17089083916362124,-0.16802267087298084},
+{-1.2630526144505163,-0.7472040816637606,-0.5102377428145073,-0.4020504890513128,-0.34124211911813296,-0.2998450138196467,-0.2785240994891369,-0.2581442270023424,-0.24242355706081886,-0.22987379022187682,-0.21957928766050205,-0.21096357418109868,-0.2036114229169108,-0.19725367023180684,-0.1916849790434485,-0.18676443197785275,-0.18237841215332828,-0.17842553105278736,-0.1748567589511678,-0.1708495694778902,-0.16800563807055813},
+{-1.2630235136974441,-0.7469874718138771,-0.5100836690948669,-0.40194060786262176,-0.34115706967170034,-0.29975882652382335,-0.27846305777194935,-0.2580903973285187,-0.24237526311499602,-0.22982977546753203,-0.21953866349149598,-0.21092570509418884,-0.20357584269173667,-0.19722002252395665,-0.19165298685490484,-0.18673387437201328,-0.18234911075689464,-0.17839734219457526,-0.17482955985858517,-0.17080839588565766,-0.1679885198228055},
+{-1.2629935397566963,-0.7467708268925985,-0.5099296731332092,-0.40183079432130997,-0.3410720755748602,-0.2996727385333129,-0.27840205523738426,-0.25803660457526334,-0.24232700251310924,-0.22978579124289533,-0.21949806756263346,-0.21088786242440083,-0.20354028738484775,-0.19718639845495112,-0.1916210172177193,-0.18670333838184305,-0.18231983016260678,-0.17836917341579372,-0.17480238020414784,-0.17076732337505085,-0.1679713165971526},
+{-1.2629626947330985,-0.746554147376596,-0.5097757549368462,-0.4017210483887208,-0.34098713678803483,-0.2995867505671632,-0.27834109187428213,-0.2579828487148199,-0.24227877523185004,-0.22974183752712474,-0.21945749985597063,-0.21085004615575542,-0.20350475698206427,-0.1971527980119685,-0.1915890701202949,-0.18667282399669283,-0.18229057036038476,-0.17834102470669677,-0.17477521997848378,-0.1707263566726196,-0.16795402890674005},
+{-1.2629309807270714,-0.7463374337409201,-0.5096219145128384,-0.40161137002586544,-0.3409022532721022,-0.299500863326402,-0.2782801676712263,-0.25792912971983517,-0.24223058124787622,-0.2296979142995208,-0.21941696035396596,-0.2108122562725816,-0.20346925146948447,-0.19711922118142766,-0.1915571455507754,-0.1866423312060217,-0.18226133134039557,-0.1783128960586069,-0.17474807917365798,-0.17068550025064333,-0.16793665731023566},
+{-1.2628983998347985,-0.7461206864589647,-0.5094681518679449,-0.4015017591939798,-0.3408174249881242,-0.2994150774938231,-0.27821928261696227,-0.25787544756280223,-0.2421824205381835,-0.22965402153950354,-0.21937644903891673,-0.21077449275917637,-0.20343377083279535,-0.19708566795046156,-0.19152524349729916,-0.18661185999883934,-0.18223211309299092,-0.17828478746173015,-0.17472095778102936,-0.1706447583326529,-0.1679192024056304},
+{-1.262864954148045,-0.7459039060025678,-0.5093144670089105,-0.40139221585438234,-0.34073265189690494,-0.2993293937344479,-0.27815843670015017,-0.25782180221635986,-0.24213429307956558,-0.22961015922643258,-0.21933596589337423,-0.2107367555999744,-0.20339831505846373,-0.19705213830643675,-0.19149336394849037,-0.1865814103650365,-0.1822029156078484,-0.17825669890724516,-0.17469385579212737,-0.17060413489923576,-0.16790166483031221},
+{-1.262830645754296,-0.7456870928419019,-0.5091608599419648,-0.4012827399680452,-0.3406479339596862,-0.29924381269572686,-0.27809762990906517,-0.2577681936533689,-0.24208619884902038,-0.22956632733990778,-0.2192955108996415,-0.21069904477955248,-0.2033628841322619,-0.1970186322360945,-0.19146150689253005,-0.18655098229394262,-0.1821737388757141,-0.17822863038624348,-0.17466677319831092,-0.1705636336959131,-0.1678840452568826},
+{-1.2627954767366605,-0.7454702474455233,-0.509007330673378,-0.40117333149638323,-0.34056327113736806,-0.299158335007367,-0.27803686223211477,-0.2577146218465356,-0.24203813782370398,-0.2295225258593283,-0.21925508404037775,-0.2106613602823426,-0.20332747804071527,-0.1969851497268298,-0.19142967231817298,-0.18652057577518733,-0.18214458288654445,-0.17820058188926957,-0.17463970999161127,-0.1705232582386058,-0.1678663443907702},
+{-1.2627594491739966,-0.7452533702804938,-0.5088538792090316,-0.40106399040067897,-0.340478663391099,-0.2990729612820999,-0.27797613365770824,-0.2576610867689251,-0.241990109980736,-0.2294787547644379,-0.21921468529823862,-0.21062370209329373,-0.20329209676973914,-0.1969516907657498,-0.19139786021364014,-0.18649019079839046,-0.18211544763089904,-0.1781725534077383,-0.17461266616354632,-0.1704830118201519,-0.16784856296890993},
+{-1.2627225651408154,-0.7450364618120897,-0.508700505554653,-0.4009547166421257,-0.34039411068231384,-0.29898769211516907,-0.27791544417414515,-0.25760758839336395,-0.2419421152972654,-0.22943501403468947,-0.2191743146558407,-0.21058607019674014,-0.20325674030564844,-0.19691825534023089,-0.1913660705678799,-0.18645982735337974,-0.18208633309897682,-0.17814454493269416,-0.1745856417060745,-0.1704428975171961,-0.16783070175626946},
+{-1.2626848267073676,-0.7448195225041423,-0.5085472097158386,-0.40084551018214043,-0.3403096129722276,-0.29890252808532525,-0.2778547937697091,-0.25755412669317135,-0.24189415375090428,-0.22939130364985605,-0.21913397209608387,-0.21054846457776577,-0.20322140863514626,-0.19688484343774526,-0.19133430336938329,-0.18642948542989757,-0.18205723928146167,-0.17811655645518965,-0.17455863661100235,-0.17040291819621967,-0.16781276154403812},
+{-1.2626462359395862,-0.7446025528188529,-0.5083939916977926,-0.4007363709818881,-0.34022517022233023,-0.2988174697548942,-0.27779418243238174,-0.2575007016413089,-0.24184622531867594,-0.22934762358958682,-0.21909365760141863,-0.21051088522085415,-0.20318610174396134,-0.19685145504569945,-0.19130255860676737,-0.1863991650176775,-0.18202816616869733,-0.17808858796639804,-0.17453165086999434,-0.17036307652122407,-0.167794743148038},
+{-1.262606794899158,-0.7443855532168371,-0.5082408515056493,-0.40062729900287675,-0.34014078239398593,-0.2987325176694262,-0.2777336101502508,-0.2574473132110824,-0.24179832997838746,-0.2293039738337166,-0.21905337115541013,-0.2104733321114569,-0.20315081961912007,-0.19681809015169627,-0.19127083626907826,-0.18636886610689807,-0.18199911375127265,-0.17806063945770578,-0.17450468447527,-0.17032337495866035,-0.16777664740569787},
+{-1.2625665056434647,-0.744168524157085,-0.508087789144251,-0.40051829420640983,-0.34005644944856783,-0.2986476723585181,-0.27767307691139376,-0.2573939613759211,-0.24175046770757502,-0.2292603543619025,-0.2190131127403383,-0.21043580523423344,-0.20311556224670024,-0.196784748743279,-0.19123913634500234,-0.18633858868709474,-0.18197008201986264,-0.1780327109203963,-0.17447773741861194,-0.17028381578444307,-0.16775847517485776},
+{-1.262525370225689,-0.7439514660971396,-0.5079348046183108,-0.4004093565539102,-0.33997217134812674,-0.29856293433564796,-0.2776125827037137,-0.2573406461093013,-0.241702638483817,-0.22921676515431066,-0.21897288233967416,-0.2103983045744462,-0.2030803296136101,-0.1967514308081979,-0.19120745882351553,-0.18630833274889902,-0.18194107096526135,-0.17800480234596527,-0.1744508096926891,-0.1702444010925772,-0.16774022733237448},
+{-1.2624833906946673,-0.7437343794928029,-0.5077818979322188,-0.4003004860068806,-0.33988794805394695,-0.29847830409851683,-0.27755212751523617,-0.2572873673847127,-0.24165484228491296,-0.22917320619060177,-0.21893267993629983,-0.21036083011687268,-0.20304512170611222,-0.19671813633428048,-0.1911758036935991,-0.18627809828193165,-0.18191208057781427,-0.17797691372559576,-0.17442390128894036,-0.17020513279720895,-0.1677219047711631},
+{-1.2624405690950602,-0.7435172647984469,-0.5076290690902363,-0.40019168252654547,-0.3398037795280633,-0.2983937821300162,-0.27749171133353734,-0.2572341251757715,-0.24160707908873214,-0.22912967745082913,-0.21889250551324313,-0.210323381847207,-0.20300993851097893,-0.1966848653092761,-0.19114417094419522,-0.18624788527646619,-0.18188311084874975,-0.1779490450512622,-0.17439701220023007,-0.17016601264322517,-0.16770350839938253},
+{-1.262396907467259,-0.7433001224668141,-0.5074763180964101,-0.4000829460746287,-0.339719665732106,-0.2983093688968488,-0.2774313341465682,-0.2571809194561929,-0.2415593488731158,-0.22908617891505312,-0.21885235905402212,-0.21028595975035547,-0.20297478001503322,-0.1966516177210451,-0.19111256056438997,-0.1862176937229325,-0.18185416176844438,-0.17792119631418402,-0.1743701424181996,-0.17012704220946961,-0.16768503913866262},
+{-1.2623524078475055,-0.7430829529491461,-0.5073236449546257,-0.3999742766124603,-0.33963560662800685,-0.29822506485113554,-0.2773709959419062,-0.2571277501999245,-0.24151165161617083,-0.22904271056345316,-0.2188122405418218,-0.21024856381191181,-0.20293964620486804,-0.19661839355784938,-0.19108097254364065,-0.18618752361126667,-0.1818252333282251,-0.1778933675058294,-0.1743432919357506,-0.1700882229170233,-0.16766649792272936},
+{-1.262307072267694,-0.7428657566951151,-0.507171049668456,-0.39986567410168883,-0.33955160217783886,-0.2981408704299029,-0.27731069670744235,-0.25707461738079074,-0.24146398729594232,-0.22899927237606832,-0.21877214995995686,-0.21021119401743693,-0.2029045370672593,-0.19658519280749243,-0.1910494068706745,-0.1861573749320602,-0.18179632551908131,-0.177865558618441,-0.17431646074477491,-0.1700495560341757,-0.16764788569525724},
+{-1.262260902755597,-0.7426485341528171,-0.5070185322413852,-0.399757138503793,-0.33946765234357423,-0.298056786055648,-0.27725043643063785,-0.2570215209727844,-0.24141635589053312,-0.22895586433308512,-0.21873208729181481,-0.2101738503519659,-0.2028694525893604,-0.19655201545824585,-0.1910178635353308,-0.18612724767559463,-0.18176743833138875,-0.17783776964312192,-0.17428964883812093,-0.170011042681943,-0.16762920341005128},
+{-1.2622139013347577,-0.7424312857687991,-0.5068660926765718,-0.3996486697803374,-0.3393837570874476,-0.2979728121370333,-0.2771902150990866,-0.2569684609501115,-0.2413687573783463,-0.22891248641487572,-0.21869205252097945,-0.21013653280146904,-0.20283439275768433,-0.19651886149843367,-0.1909863425265117,-0.18609714183241088,-0.18173857175704544,-0.17781000057221696,-0.1742628562082249,-0.16997268384184672,-0.16761045202810188},
+{-1.262166070024508,-0.7422140119881573,-0.5067137309771277,-0.39954026789305574,-0.3392999163715822,-0.2978889490676311,-0.2771300327002102,-0.2569154372869611,-0.24132119173752908,-0.22886913860162927,-0.21865204563100793,-0.21009924135164226,-0.2027993575596394,-0.19648573091609922,-0.19095484383374917,-0.18606705739284557,-0.18170972578659406,-0.17778225139722004,-0.17423608284749825,-0.16993448035975423,-0.16759163251720555},
+{-1.2621174108400752,-0.7419967132544172,-0.5065614471458275,-0.3994319328034024,-0.3392161301581189,-0.29780519722765897,-0.27706988922153375,-0.2568624499575374,-0.2412736589466693,-0.22882582087413983,-0.21861206660568744,-0.21006197598808996,-0.2027643469819509,-0.19645262369994665,-0.1909233674467341,-0.18603699434782417,-0.18168090041171236,-0.17775452211031695,-0.17420932874884354,-0.16989643295263424,-0.1675727458506291},
+{-1.2620679257923675,-0.7417793900095009,-0.5064092411853132,-0.39932366447314305,-0.33913239840965126,-0.29772155698316904,-0.27700978465058057,-0.25680949893644067,-0.24122615898420463,-0.22878253321230524,-0.21857211542834154,-0.21002473669640054,-0.20272936101153416,-0.19641953983788607,-0.1908919133546796,-0.18600695268753675,-0.18165209562307272,-0.17772681270324497,-0.174182593904451,-0.16985854221328012,-0.1675537930056361},
+{-1.2620176168882489,-0.7415620426939467,-0.5062571130980795,-0.39921546286412024,-0.3390487210885236,-0.2976380286869138,-0.2769497189746901,-0.25675658419786007,-0.24117869182873175,-0.228739275597043,-0.21853219208330454,-0.209987523462698,-0.2026943996359174,-0.19638647931890407,-0.19086048154716284,-0.1859769324028484,-0.18162331141225074,-0.17769912316805314,-0.17415587830752344,-0.16982080861675009,-0.1675347749633369},
+{-1.2619664861303472,-0.7413446717466998,-0.5061050628863661,-0.39910732793768045,-0.33896509815734444,-0.29755461267870364,-0.2768896921810926,-0.25670370571683065,-0.24113125745895125,-0.22869604800896504,-0.21849229655397373,-0.20995033627305038,-0.20265946284219272,-0.19635344213137085,-0.19082907201448673,-0.18594693348469438,-0.18159454777082384,-0.17767145349734292,-0.1741291819510744,-0.16978323252522198,-0.16751569270758004},
+{-1.2619145355171957,-0.7411272776051527,-0.5059530905522056,-0.3989992596558807,-0.33888152957847373,-0.2974713092846346,-0.2768297042571368,-0.2566508634676943,-0.24108385585360903,-0.2286528504285128,-0.2184524288245555,-0.20991317511344487,-0.20262455061734297,-0.19632042826397456,-0.1907976847458075,-0.1859169559235463,-0.18156580468973615,-0.17764380368251143,-0.17410250482740608,-0.16974581419237733,-0.16749654722250273},
+{-1.261861767043114,-0.7409098607052655,-0.5058011960974178,-0.39889125798044267,-0.33879801531452136,-0.29738811881815064,-0.2767697551900614,-0.2565980574254141,-0.24103648699152114,-0.22860968283671834,-0.21841258887895165,-0.20987603996979853,-0.2025896629491184,-0.19628743770535007,-0.19076631973092706,-0.18588699971029943,-0.1815370821609381,-0.17761617371617522,-0.1740758469297301,-0.1697085537696159,-0.16747733949315613},
+{-1.2618081826983283,-0.7406924214814672,-0.5056493795237298,-0.39878332287311036,-0.3387145553285218,-0.29730504158002713,-0.2767098449671197,-0.25654528756490613,-0.24098915085157202,-0.228566545214397,-0.21837277670144672,-0.20983893082831617,-0.20255479982429225,-0.1962544704445106,-0.19073497695981434,-0.1858570648357496,-0.1815083801758659,-0.17758856359067554,-0.174049208251029,-0.16967145131067163,-0.16745807050467398},
+{-1.2617537844689264,-0.7404749603667264,-0.5054976408326648,-0.39867545429581375,-0.33863114958300056,-0.2972220778584935,-0.27664997357559207,-0.2564925538610172,-0.24094184741290903,-0.22852343754208881,-0.21833299227609526,-0.20980184767540155,-0.20251996123067517,-0.196221526469901,-0.19070365642250042,-0.1858271512910985,-0.18147969872565817,-0.17756097329816534,-0.17402258878438293,-0.16963450677550185,-0.1674387412411127},
+{-1.2616985743368918,-0.740257477792436,-0.5053459800254867,-0.39856765221029145,-0.33854779804112756,-0.2971392279299834,-0.2765901410024312,-0.25643985628890054,-0.2408945766547026,-0.22848035980127257,-0.21829323558730795,-0.20976479049747088,-0.2024851471557083,-0.19618860577070585,-0.19067235810907857,-0.1857972590670398,-0.18145103780258687,-0.17753340283147168,-0.1739959885228508,-0.1695977200359664,-0.16741935268389607},
+{-1.2616425542800485,-0.7400399741885768,-0.5051943971032635,-0.3984599165785805,-0.3384645006656637,-0.2970564920581418,-0.27653034723475267,-0.2563871948237537,-0.24084733855586737,-0.2284373119726446,-0.21825350661913845,-0.20972775928082754,-0.20245035758668894,-0.19615570833595175,-0.19064108200950347,-0.1857673881548214,-0.18142239739798338,-0.17750585218249082,-0.17396940745954304,-0.16956109087995763,-0.16739990581288922},
+{-1.2615857262721877,-0.7398224499836301,-0.5050428920669909,-0.398352247362566,-0.3383812574195253,-0.2969738704954503,-0.27647059225986004,-0.2563345694410195,-0.24080013309579673,-0.22839429403768374,-0.2182138053563314,-0.20969075401197923,-0.20241559251151298,-0.19612283415470344,-0.19060982811394478,-0.1857375385456228,-0.1813937775038541,-0.17747832134418484,-0.17394284558789952,-0.16952461901576488,-0.1673804016043734},
+{-1.2615280922828915,-0.7396049056045904,-0.5048914649173617,-0.3982446445242718,-0.33829806826615494,-0.29689136348194545,-0.2764108760646704,-0.25628198011585734,-0.24075296025392845,-0.22835130597746023,-0.21817413178323086,-0.20965377467743185,-0.20238085191753807,-0.19608998321555582,-0.19057859641237673,-0.18570771023022115,-0.18136517811191943,-0.17745081030883902,-0.17391630290081306,-0.16948830407557303,-0.16736084103097593},
+{-1.2614696542778228,-0.7393873414769692,-0.5047401156550211,-0.39813710802572055,-0.3382149331684996,-0.29680897124689753,-0.2763511986364202,-0.25622942682393557,-0.24070582000977314,-0.22830834777330722,-0.21813448588436568,-0.20961682126397552,-0.20234613579269123,-0.19605715550845204,-0.19054738689580386,-0.1856779032002427,-0.18133659921416534,-0.1774233190697343,-0.17388977939207795,-0.16945214562154032,-0.16734122506088323},
+{-1.2614104142183746,-0.7391697580247842,-0.5045888442802302,-0.3980296378287145,-0.33813185208998986,-0.29672669400827045,-0.27629155996177346,-0.25617690954078665,-0.24065871234262293,-0.22826541940683587,-0.21809486764446095,-0.20957989375836128,-0.20231144412431146,-0.19602435102219484,-0.19051619955415244,-0.18564811744652143,-0.18130804080234775,-0.17739584761877492,-0.1738632750546456,-0.16941614314623354,-0.16732155465803977},
+{-1.2613503740619818,-0.7389521556706646,-0.5044376507932644,-0.3979222338955868,-0.3380488249938489,-0.29664453197258833,-0.2762319600279719,-0.2561244282419448,-0.240611637232246,-0.22822252085910577,-0.2180552770482862,-0.20954299214705152,-0.20227677690053447,-0.19599156974606924,-0.1904850343778639,-0.18561835296077067,-0.18127950286861338,-0.17736839594924536,-0.17383678988253592,-0.16938029608115723,-0.167301830779933},
+{-1.2612895357620078,-0.7387345348357011,-0.5042865351941037,-0.3978148961883172,-0.33796585184333505,-0.29656248533586016,-0.2761723988218767,-0.25607198290332,-0.24056459465835545,-0.22817965211211266,-0.21801571408045195,-0.20950611641744032,-0.20224213410911318,-0.19595881166940377,-0.19045389135737434,-0.1855886097338768,-0.18125098540536388,-0.17734096405422317,-0.17381032386878115,-0.16934460379582017,-0.16728205437958188},
+{-1.2612279012677376,-0.738516895939624,-0.5041354974826646,-0.3977076246691049,-0.33788293260240376,-0.2964805542830238,-0.27611287633052406,-0.2560195735010211,-0.24051758460086692,-0.22813681314758405,-0.21797617872605812,-0.20946926655618459,-0.20220751573809181,-0.19592607678176144,-0.19042277048352307,-0.18555888775775564,-0.18122248840439514,-0.17731355192626808,-0.17378387700734343,-0.16930906560447045,-0.16726222640342492},
+{-1.2611654725244097,-0.7382992394005461,-0.5039845376585173,-0.3976004193001015,-0.3378000672342849,-0.2963987389887208,-0.2760533925409083,-0.2559672000106028,-0.24047060703940115,-0.22809400394710622,-0.21793667096997194,-0.20943244255038085,-0.2021729217753716,-0.19589336507256494,-0.19039167174710325,-0.1855291870237874,-0.18119401185796669,-0.1772861595582942,-0.1737574492916787,-0.16927368076826532,-0.1672423477912286},
+{-1.2611022514731955,-0.7380815656353326,-0.5038336557211842,-0.39749328004346296,-0.3377172557028101,-0.2963170396175605,-0.27599394743967753,-0.2559148624084502,-0.24042366195404252,-0.22805122449274062,-0.21789719079716452,-0.20939564438721892,-0.20213835220879872,-0.19586067653147143,-0.190360595138376,-0.18549950752320665,-0.18116555575846238,-0.1772587869436446,-0.17373104071548884,-0.1692384484978664,-0.16722241947586802},
+{-1.2610382400512845,-0.7378638750592494,-0.5036828516700336,-0.3973862068615439,-0.33763449797155376,-0.296235456323648,-0.2759345410139593,-0.25586256067052204,-0.24037674932493225,-0.22800847476639863,-0.21785773819273313,-0.2093588720539028,-0.20210380702654973,-0.19582801114767268,-0.1903295406484542,-0.1854698492477942,-0.1811371200981231,-0.1772314340751926,-0.17370465127274937,-0.16920336795832203,-0.16720244238359872},
+{-1.2609734401918435,-0.7376461680862283,-0.5035321255041572,-0.39727919971650305,-0.33755179400436797,-0.29615398925128344,-0.27587517325053756,-0.2558102947733447,-0.24032986913237497,-0.22796575475013725,-0.2178183131417235,-0.20932212553760188,-0.20206928621700637,-0.19579536891121574,-0.19029850826818073,-0.18544021218886542,-0.18110870486892772,-0.1772041009463532,-0.17367828095685223,-0.16916843827051853,-0.16718241743218254},
+{-1.26090785382397,-0.7374284451287125,-0.5033814772225274,-0.39717225857073,-0.3374691437653299,-0.29607263853467636,-0.27581584413625126,-0.2557580646931932,-0.24028302135634316,-0.22792306442621424,-0.21777891562968588,-0.20928540482566582,-0.20203478976824485,-0.1957627498115766,-0.19026749798872977,-0.1854105963388335,-0.1810803100642806,-0.17717678755032207,-0.1736519297622232,-0.16913365851548612,-0.16716234553247844},
+{-1.2608414828727743,-0.7372107065977085,-0.5032309068239607,-0.397065383386646,-0.33738654721812633,-0.29599140429880144,-0.2757565536581339,-0.2557058704064721,-0.24023620597722672,-0.22788040377691843,-0.21773954564188713,-0.20924870990579247,-0.2020003176685714,-0.1957301538388725,-0.19023650980086515,-0.1853810016888291,-0.1810519356759528,-0.17714949388055778,-0.17362559768253671,-0.16909902773658647,-0.16714222758745567},
+{-1.2607743292593818,-0.7369929529028036,-0.5030804143070791,-0.3969585741264572,-0.33730400432710095,-0.2959102866593537,-0.2756973018028619,-0.2556537118898996,-0.24018942297547508,-0.22783777278459727,-0.21770020316327,-0.20921204076489452,-0.20196586990598409,-0.1956975809827286,-0.19020554369563225,-0.18535142823063744,-0.18102358169692323,-0.1771222199300473,-0.17359928471151775,-0.16906454494049417,-0.16712206449120792},
+{-1.2607063949009019,-0.7367751844522186,-0.5029299996703016,-0.39685183075279085,-0.3372215150562119,-0.29582928572228795,-0.27563808855724403,-0.25560158912008113,-0.2401426723317135,-0.2277951714316293,-0.21766088817982698,-0.20917539739111657,-0.20193144646940642,-0.19566503123288648,-0.1901745996644113,-0.18532187595657934,-0.18099524811953316,-0.17709496569224736,-0.17357299084388433,-0.16903020910333044,-0.1671018571297047},
+{-1.2606376817105334,-0.7365574016527332,-0.5027796629120154,-0.39674515322798687,-0.33713907936954124,-0.29574840158490545,-0.27557891390829514,-0.25554950207371263,-0.24009595402651307,-0.22775259970108763,-0.2176216006768259,-0.20913877977205875,-0.20189704734735514,-0.19563250457983372,-0.1901436776986163,-0.18529234485857593,-0.1809669349372962,-0.17706773116141417,-0.1735467160731714,-0.16899601917075024,-0.16708160638124525},
+{-1.2605681915973697,-0.7363396049096367,-0.5026294040301984,-0.3966385415144882,-0.3370566972316458,-0.2956676343348379,-0.275519777842514,-0.2554974507278045,-0.24004926804065096,-0.22771005757525842,-0.21758234063981785,-0.2091021878952617,-0.2018626725277901,-0.19560000101321506,-0.19011277778904034,-0.18526283492797102,-0.18093864214173383,-0.1770405163304467,-0.17352046039349212,-0.16896197406006763,-0.16706131311376282},
+{-1.2604979264666434,-0.7361217946268899,-0.5024792230229655,-0.39653199557517027,-0.33697436860677765,-0.2955869840515799,-0.27546068034710824,-0.25544543505922146,-0.24000261435492476,-0.22766754503706643,-0.2175431080546284,-0.20906562174851828,-0.20182832199964906,-0.19556752052311133,-0.19008189992736213,-0.18523334615758014,-0.18091036972642272,-0.1770133211929581,-0.17349422379989932,-0.16892807266350562,-0.16704097818735253},
+{-1.2604268882195717,-0.7359039712071076,-0.5023291198881075,-0.3964255153722145,-0.33689209345940796,-0.2955064508063492,-0.27540162140862634,-0.25539345504527144,-0.23995599295014625,-0.2276250620695901,-0.21750390290705823,-0.20902908131997933,-0.20179399575171875,-0.19553506310022684,-0.19005104410535534,-0.18520387853920273,-0.18088211768426365,-0.17698614574314853,-0.17346800628628856,-0.1688943138510579,-0.16702060245357409},
+{-1.260355078753445,-0.7356861350513175,-0.5021790946231377,-0.3963191008685327,-0.3368098717539869,-0.295426034661034,-0.2753426010137936,-0.255341510662773,-0.23990940380760417,-0.22758260865554192,-0.21746472518265048,-0.20899256659757626,-0.20175969377233471,-0.195502628734066,-0.19002021031393745,-0.18517443206475992,-0.18085388600806152,-0.1769589899743016,-0.1734418078462152,-0.16886069646977653,-0.16700018675321893},
+{-1.2602824999615678,-0.7354682865593696,-0.5020291472256337,-0.39621275202664874,-0.33672770345505976,-0.2953457356696969,-0.2752836191495529,-0.25528960188927474,-0.23986284690813786,-0.22754018477849502,-0.21742557486784975,-0.20895607756908685,-0.201725416050901,-0.19547021741566883,-0.1899893985452188,-0.1851450067272813,-0.1808256746912429,-0.17693185388031463,-0.17341562847559278,-0.1688272193493825,-0.16697973192014715},
+{-1.2602091537333846,-0.7352504261295785,-0.5018792776928311,-0.39610646880928924,-0.33664558852763315,-0.29526555387797604,-0.27522467580265175,-0.2552377287019807,-0.23981632223292682,-0.22749779042131912,-0.21738645194792916,-0.20891961422286442,-0.2016911625758091,-0.1954378291349208,-0.18995860879029003,-0.18511560251815773,-0.18079748372637283,-0.17690473745543134,-0.173389468167362,-0.16879388130141404,-0.1669592387773493},
+{-1.2601350419543165,-0.7350325541589542,-0.501729486022013,-0.3960002511793368,-0.3365635269361187,-0.2951854893235497,-0.27516577095988826,-0.25518589107851675,-0.23976982976357242,-0.22745542556746745,-0.21734735640929692,-0.2088831765467294,-0.20165693333600831,-0.19540546388262747,-0.18992784104132632,-0.18508621943022874,-0.1807693131067465,-0.17687764069290335,-0.17336332691690792,-0.16876068112194176,-0.16693870813870682},
+{-1.2600601665059465,-0.7348146710430372,-0.5015797722100497,-0.3958940990993325,-0.33648151864569753,-0.29510554203686556,-0.2751069046079335,-0.25513408899641377,-0.23972336948135897,-0.22741309020046696,-0.21730828823819426,-0.2088467645295733,-0.20162272832085204,-0.195373121649137,-0.18989709529009957,-0.18505685745581069,-0.18074116282580377,-0.17685056358757834,-0.17333720471900538,-0.16872761759346133,-0.1669181408093987},
+{-1.2599845292658602,-0.7345967771760784,-0.5014301362537608,-0.39578801253233387,-0.33639956362098244,-0.295025712039795,-0.27504807673358833,-0.25508232243316176,-0.2396769413677422,-0.22737078430377178,-0.21726924742049736,-0.2088103781594226,-0.2015885475190089,-0.19534080242510132,-0.18986637152815167,-0.18502751658742245,-0.18071303287679807,-0.1768235061330632,-0.17331110156754725,-0.16869468948658817,-0.16689753758433046},
+{-1.2599081321078525,-0.7343788729509204,-0.5012805781499483,-0.39568199144113736,-0.3363176618269441,-0.2949459993471928,-0.2749892873236712,-0.25503059136682005,-0.23963054540443895,-0.2273285078612144,-0.21723023394270857,-0.20877401742434554,-0.20155439091998062,-0.1953085062011235,-0.18983566974761867,-0.18499819681743723,-0.18068492325305563,-0.17679646832361406,-0.1732850174581495,-0.16866189556106104,-0.16687689924981441},
+{-1.2598309769016696,-0.7341609587590341,-0.5011310978950543,-0.3955760357886726,-0.3362358132290355,-0.29486640396581354,-0.27493053636500697,-0.25497889577502253,-0.23958418157332062,-0.22728626085647985,-0.21719124779103005,-0.20873768231321943,-0.20152025851281063,-0.1952762329676503,-0.18980498994038353,-0.1849688981386608,-0.18065683394756338,-0.17676945015318868,-0.17325895238457267,-0.16862923456814816,-0.16685622658168686},
+{-1.2597530655133395,-0.7339430349905562,-0.50098169548549,-0.3954701455379408,-0.33615401779225795,-0.29478692589569366,-0.27487182384427555,-0.25492723563594133,-0.23953784985599036,-0.22724404327357828,-0.21715228895205296,-0.20870137281426526,-0.2014861502869083,-0.19524398271627508,-0.1897743320987244,-0.1849396205441627,-0.18062876495458102,-0.17674245161638513,-0.1732329063427107,-0.16859670525045978,-0.16683552034766969},
+{-1.2596743998048199,-0.7337251020341822,-0.5008323709173776,-0.39536432065185334,-0.3360722754818424,-0.2947075651299267,-0.2748131497481223,-0.25487561092743327,-0.23949155023452384,-0.22720185509639723,-0.2171133574122157,-0.20866508891673785,-0.20145206623175138,-0.19521175543717817,-0.18974369621445852,-0.18491036402569883,-0.18060071626745522,-0.17671547270746846,-0.17320687932685708,-0.16856430634515807,-0.16681478130456284},
+{-1.2595949816343432,-0.7335071602773566,-0.5006831241869567,-0.39525856109354196,-0.3359905862630539,-0.2946283216538612,-0.2747545140633614,-0.2548240216277655,-0.23944528269085463,-0.2271596963088589,-0.2170744531579949,-0.2086288306086228,-0.2014180063365938,-0.19517955112132146,-0.18971308227968464,-0.18488112857652084,-0.1805726878795726,-0.17668851342073832,-0.1731808713320433,-0.16853203658410276,-0.16679401020057583},
+{-1.2595148128562166,-0.7332892101061308,-0.5005339552900065,-0.3951528668260833,-0.3359089501012016,-0.2945491954464492,-0.2746959167768521,-0.25477246771505424,-0.2393990472072467,-0.22711756689523277,-0.2170355761760563,-0.20859259787876638,-0.20138397059093016,-0.19514736975983826,-0.1896824902867298,-0.18485191418987057,-0.1805446797846617,-0.1766615737508328,-0.17315488235303622,-0.16849989469547388,-0.1667732077743782},
+{-1.259433895320896,-0.7330712519051854,-0.5003848642224136,-0.39504723781262685,-0.3358273669622118,-0.29447018647949275,-0.27463735787527455,-0.2547209491679192,-0.23935284376601995,-0.22707546684017732,-0.21699672645309942,-0.20855639071616938,-0.20134995898483155,-0.19511521134372511,-0.18965192022799915,-0.18482272085796936,-0.18051669197666342,-0.17663465369204445,-0.17312891238549266,-0.1684678794043144,-0.16675237475466265},
+{-1.259352230874969,-0.7328532860578503,-0.5002358509796361,-0.3949416740164464,-0.33574583681135106,-0.29439129471828807,-0.27457883734547384,-0.25466946596468176,-0.23930667234973857,-0.22703339612792028,-0.21695790397619064,-0.20852020910959101,-0.2013159715077899,-0.19508307586454787,-0.18962137209582064,-0.18479354857493124,-0.18048872444957453,-0.17660775323943678,-0.1731029614245303,-0.168435989435177,-0.16673151186142032},
+{-1.2592698213611833,-0.7326353129461918,-0.5000869155572598,-0.3948361754005676,-0.3356643596143192,-0.294312520122034,-0.2745203551741344,-0.2546180180839146,-0.2392605329402855,-0.22699135474275067,-0.21691910873175857,-0.20848405304811735,-0.20128200814941,-0.19505096331271776,-0.1895908458822646,-0.18476439733272443,-0.18046077719695042,-0.17658087238709275,-0.17307702946492132,-0.16840422351006534,-0.1667106198045616},
+{-1.2591866686184778,-0.7324173329508521,-0.49993805795058144,-0.39473074192848,-0.3355829353368076,-0.29423386264290663,-0.27446191134782083,-0.2545666055041522,-0.239214425520915,-0.22694934266938827,-0.21688034070728435,-0.20844792252039657,-0.20124806889992275,-0.19501887368013016,-0.18956034157989787,-0.18473526712499488,-0.1804328502131174,-0.1765540111300865,-0.17305111650206673,-0.16837258035363778,-0.16668969928506439},
+{-1.2591027744819399,-0.7321993464511967,-0.49978927815483587,-0.3946253735634051,-0.3355015639446437,-0.29415532222707697,-0.27440350585359585,-0.25451522820431993,-0.23916835007396386,-0.22690735989242672,-0.21684159988911667,-0.20841181751553783,-0.2012141537487251,-0.1949868069577798,-0.1895298591814436,-0.1847061579446443,-0.18040494349184755,-0.17652716946284652,-0.17302522253175656,-0.16834105869017257,-0.16666875099398482},
+{-1.2590181407828551,-0.7319813538253137,-0.49964057616494584,-0.3945200702687117,-0.3354202454038795,-0.29407689881436294,-0.27434513867808796,-0.2544638861631219,-0.2391223065824093,-0.22686540639680697,-0.21680288626468602,-0.20837573802287146,-0.20118026268637834,-0.1949547631370825,-0.18949939867903254,-0.1846770697849447,-0.18037705702728069,-0.17650034738067255,-0.17299934754833224,-0.16830965724687363,-0.16664777561361888},
+{-1.2589327693486227,-0.7317633554498175,-0.4994919519758949,-0.3944148320080223,-0.3353389796804045,-0.29399859233866277,-0.27428680980812725,-0.25441257935967343,-0.23907629502901084,-0.2268234821674726,-0.2167641998214842,-0.2083396840312597,-0.20114639570299353,-0.19492274221000283,-0.18946896006597846,-0.18464800263987158,-0.18034919081417122,-0.1764735448783572,-0.1729734915482215,-0.16827837475379948,-0.16662677381731683},
+{-1.2588466620029568,-0.7315453517001349,-0.49934340558243173,-0.3943096587444339,-0.3352577667403782,-0.293920402728415,-0.27422851923033686,-0.2543613077728697,-0.2390303153970308,-0.22678158718913277,-0.21672554054629156,-0.20830365553001062,-0.20111255278859197,-0.19489074416764574,-0.18943854333437216,-0.1846189565019749,-0.18032134484612783,-0.1764467619503387,-0.17294765452660865,-0.1682472099443899,-0.16660574626764735},
+{-1.25875982056567,-0.7313273429503071,-0.4991949369791353,-0.3942045504418257,-0.33517660654976655,-0.29384232990532855,-0.2741702669315913,-0.2543100713818376,-0.23898436766917897,-0.22673972144702237,-0.2166869084264329,-0.20826765250839507,-0.20107873393359466,-0.19485876900129284,-0.18940814847666854,-0.1845899313649495,-0.18029351911761893,-0.1764199985920687,-0.17292183647880588,-0.16821616155696972,-0.16658469361939776},
+{-1.2586722468528835,-0.7311093295731879,-0.49904654616052335,-0.3940995070637028,-0.33509549907489333,-0.29376437378641107,-0.27411205289879703,-0.2542588701660886,-0.23893845182929674,-0.22669788492655574,-0.2166483034497526,-0.2082316749560107,-0.20104493912845456,-0.1948268167035918,-0.1893777754867063,-0.1845609272229476,-0.18026571362315646,-0.17639325479888335,-0.1728960374008519,-0.16818522833494587,-0.1665636165182356},
+{-1.2585839426767729,-0.7308913119401375,-0.49889823312085335,-0.3939945285734736,-0.33501444428214366,-0.29368653428159597,-0.27405387711837204,-0.25420770410467863,-0.23889256786023783,-0.22665607761263296,-0.21660972560309588,-0.20819572286163002,-0.20101116836346478,-0.19479488726527183,-0.18934742435582574,-0.1845319440682891,-0.1802379283569362,-0.1763665305654598,-0.17287025728770722,-0.16815440902691314,-0.1665425155992324},
+{-1.2584949098459486,-0.7306732904213606,-0.4987499978544281,-0.3938896149351625,-0.3349334421378085,-0.2936088112967479,-0.2739957395774315,-0.25415657317706497,-0.2388467157455727,-0.22661429949058043,-0.21657117487452204,-0.20815979621505942,-0.2009774216290543,-0.19476298067907027,-0.18931709507830874,-0.18450298189580838,-0.18021016331398787,-0.17633982588711206,-0.17284449613577912,-0.16812370238812147,-0.1665213914899777},
+{-1.2584051501651086,-0.7304552653857277,-0.49860184035529453,-0.39378476611216895,-0.33485249260870553,-0.2935312047322407,-0.27393764026275225,-0.25410547736309663,-0.2388008954689118,-0.22657255054643244,-0.21653265125163834,-0.20812389500594541,-0.20094369891616992,-0.1947310969367404,-0.18928678764675677,-0.18447404069893736,-0.1801824184887746,-0.17631314075922067,-0.17281875394030255,-0.16809310718115267,-0.16650024480868897},
+{-1.2583146654352286,-0.7302372372007926,-0.4984537606172701,-0.39367998206849286,-0.3347715956609232,-0.2934537144821281,-0.27387957916087924,-0.25405441664193695,-0.23875510701389757,-0.22653083076492386,-0.21649415472163103,-0.20808801922340425,-0.20091000021512517,-0.19469923602970596,-0.1892565020534125,-0.18444512047073047,-0.18015469387566174,-0.17628647517677276,-0.17279303069686414,-0.16806262217576062,-0.1664790761641255},
+{-1.258223457453489,-0.7300192062328588,-0.4983057586342561,-0.39357526276786814,-0.33469075126129955,-0.29337634043634786,-0.2738215562588291,-0.2540033909938737,-0.23870935036425056,-0.22648914013227817,-0.2164556852730497,-0.20805216885740396,-0.20087632551731982,-0.19466739795091303,-0.18922623829222474,-0.18441622120653278,-0.1801269894696107,-0.1762598291358497,-0.1727673264021936,-0.16803224614920165,-0.16645788615685042},
+{-1.2581315280134533,-0.7298011728468845,-0.49815783439983363,-0.3934706081741073,-0.3346099593768104,-0.29329908247890835,-0.2737635715433644,-0.253952400398326,-0.2386636255038388,-0.22644747863399672,-0.2164172428931792,-0.20801634389743562,-0.20084267481317397,-0.19463558269233427,-0.18919599635567064,-0.1843873428988143,-0.18009930526519558,-0.1762332026313045,-0.17274164105143797,-0.1680019778869788,-0.16643667537810458},
+{-1.2580388789047852,-0.7295831374065651,-0.49800998790765183,-0.3933660182514056,-0.33452921997390206,-0.29322194048935835,-0.27370562500141826,-0.2539014448353951,-0.23861793241642815,-0.22640584625579319,-0.21637882757019522,-0.20798054433295743,-0.20080904809355093,-0.19460379024546892,-0.189165776237588,-0.18435848554188805,-0.18007164125764596,-0.17620659565885521,-0.1727159746405862,-0.16797181618373802,-0.16641544441070888},
+{-1.2579455119135845,-0.7293651002744652,-0.4978622191509987,-0.39326149296345525,-0.33444853301981237,-0.293144914342613,-0.27364771661969023,-0.25385052428521426,-0.2385722710863245,-0.22636424298395852,-0.21634043929226277,-0.20794477015424828,-0.20077544534979186,-0.19457202060369294,-0.18913557793088387,-0.18432964913081573,-0.1800439974416248,-0.17618000821387803,-0.17269032716607136,-0.1679417598434041,-0.16639419382847898},
+{-1.257851428822041,-0.7291470618116169,-0.4977145281231854,-0.39315703227448173,-0.33436789848142556,-0.29306800390815635,-0.2735898463851516,-0.2537996387277026,-0.23852664149764813,-0.22632266880402696,-0.21630207804717116,-0.2079090213507211,-0.20074186657304427,-0.19454027375876937,-0.1891054014287663,-0.18430083365852123,-0.18001637381249846,-0.1761534402924072,-0.1726646986235636,-0.16791180767869207,-0.16637292419747585},
+{-1.2577566314088104,-0.7289290223779479,-0.4975669148173685,-0.3930526361484685,-0.3342873163255078,-0.2929912090514195,-0.2735320142846023,-0.2537487881434455,-0.23848104363430966,-0.22628112370253994,-0.21626374382359614,-0.20787329791247355,-0.2007083117540036,-0.1945085497033867,-0.18907524672466725,-0.18427203911967638,-0.17998877036501781,-0.17612689188989972,-0.17263908900913982,-0.1678819585127833,-0.166351636074344},
+{-1.257661121448729,-0.7287109823321578,-0.49741937922653356,-0.39294830454970775,-0.3342067865197764,-0.2929145296324158,-0.27347422030502866,-0.25369797251230874,-0.2384354774809898,-0.22623960766529905,-0.2162254366093439,-0.20783759982911132,-0.20067478088447288,-0.19447684843012158,-0.18904511381221578,-0.1842432655082149,-0.17996118709418862,-0.17610036300198573,-0.17261349831888761,-0.1678522111786087,-0.16633033000789776},
+{-1.257564900712964,-0.7284929420315844,-0.49727192134362586,-0.3928440374423716,-0.3341263090311939,-0.29283796550730834,-0.27341646443341805,-0.2536471918152854,-0.2383899430218568,-0.22619812067879774,-0.21618715639317898,-0.20780192709090084,-0.20064127395539177,-0.19444516993184457,-0.1890150026847035,-0.18421451281919055,-0.1799336239952627,-0.17607385362459915,-0.17258792654960153,-0.16782256451978483,-0.16630900653813363},
+{-1.2574679709690095,-0.7282749018323296,-0.4971245411613423,-0.3927398347905142,-0.3340458838271054,-0.29276151652802884,-0.273358746656311,-0.2535964460326534,-0.2383444402417325,-0.22615666272934742,-0.216148903163341,-0.20776627968822492,-0.20060779095865833,-0.19441351420102393,-0.18898491333595224,-0.18418578104636296,-0.1799060810640496,-0.17604736375410024,-0.17256237369695082,-0.16779301739010055,-0.16628766619754387},
+{-1.2573703339806306,-0.7280568620892898,-0.4969772386723226,-0.3926356965587985,-0.33396551087488113,-0.29268518254156195,-0.27330106696098166,-0.25354573514498036,-0.23829896912467774,-0.22611523380331544,-0.21611067690848085,-0.20773065761046183,-0.20057433188527618,-0.19438188123040856,-0.18895484575925448,-0.18415707018436756,-0.1798785582952176,-0.17602089338596372,-0.17253683975750977,-0.16776356865463704,-0.16626630950972476},
+{-1.2572719915079562,-0.727838823156044,-0.4968300138691806,-0.39253162271135444,-0.3338851901419915,-0.2926089633912037,-0.2732434253342815,-0.25349505913304515,-0.23825352965599134,-0.22607383388749636,-0.2160724776170433,-0.20769506084825018,-0.20054089672695508,-0.19435027101321278,-0.18892479994845246,-0.18412838022787437,-0.17985105568461446,-0.17599444251634022,-0.17251132472754005,-0.16773421718935122,-0.1662449369901422},
+{-1.257172945307468,-0.7276207853850445,-0.49668286674427264,-0.39242761321272024,-0.33380492159624264,-0.29253285891550096,-0.27318582176332384,-0.25344441797779726,-0.2382081218201657,-0.226032462968222,-0.2160343052779652,-0.20765948939144074,-0.20050748547526354,-0.19431868354227966,-0.1888947758971664,-0.18409971117107826,-0.17982357322730813,-0.17596801114129512,-0.17248582860336104,-0.16770496188122674,-0.16622354914690618},
+{-1.2570731971318947,-0.7274027491273505,-0.4965357972897215,-0.3923236680273501,-0.33372470520513,-0.2924568689492979,-0.273128256235025,-0.2533938116601,-0.23816274560194017,-0.22599112103242636,-0.21599615987998355,-0.20762394323077338,-0.20047409812231098,-0.1942871188107702,-0.18886477359959652,-0.1840710630091449,-0.17979611091963932,-0.17594159925700126,-0.17246035138217675,-0.16767580162977325,-0.16620214647985954},
+{-1.256972748730367,-0.727184714732902,-0.49638880549788,-0.3922197871197861,-0.3336445409366533,-0.2923809933239969,-0.2730707287363341,-0.2533432401611755,-0.23811740098629386,-0.225949808066777,-0.21595804141211605,-0.20758842235622765,-0.200440734659189,-0.19425557681158256,-0.18883479304914808,-0.18404243573663948,-0.17976866875636244,-0.1759152068597274,-0.1724348930596573,-0.16764673534414687,-0.16618072948065077},
+{-1.2568716018483588,-0.7269666825503656,-0.4962418913607345,-0.3921159704547117,-0.33356442875833725,-0.2923052318663455,-0.2730132392544835,-0.2532927034618604,-0.2380720879585727,-0.22590852405826567,-0.2159199498631521,-0.20755292675839954,-0.20040739507821836,-0.1942240575380687,-0.18880483424018646,-0.18401382934834576,-0.17974124673349934,-0.1758888339456819,-0.1724094536328602,-0.1676177619471826,-0.1661592986342031},
+{-1.2567697582277657,-0.7267486529271587,-0.49609505487016836,-0.39201221799666985,-0.33348436863814346,-0.29222958439946023,-0.27295578777645435,-0.25324220154343546,-0.23802680650355423,-0.22586726899369758,-0.21588188522218132,-0.2075174564273139,-0.20037407937126428,-0.19419256098374849,-0.18877489716612228,-0.18398524383919224,-0.17971384484675124,-0.17586248051130227,-0.1723840330986528,-0.16758888037215502,-0.16613785441658102},
+{-1.256667219606763,-0.7265306262095592,-0.4959482960179806,-0.39190852971046475,-0.33340436054436573,-0.29215405074277,-0.2728983742893112,-0.25319173438751186,-0.23798155660648224,-0.22582604286017105,-0.2158438474781592,-0.20748201135394595,-0.20034078752983397,-0.19416108714139035,-0.18874498182147192,-0.18395667920383296,-0.17968646309195702,-0.17583614655303048,-0.1723586314531378,-0.1675600895648941,-0.16611639729741778},
+{-1.2565639877199004,-0.7263126027425248,-0.49580161479594675,-0.39180490556091563,-0.3333244044449488,-0.29207863071224605,-0.2728409987805085,-0.25314130197542273,-0.2379363382529771,-0.22578484564504997,-0.21580583662103336,-0.20744659152867406,-0.20030751954676607,-0.19412963600540412,-0.18871508820067628,-0.18392813543847542,-0.1796591014654263,-0.17580983206760514,-0.17233324869381406,-0.1675313884835834,-0.1660949277391186},
+{-1.2564600642981825,-0.7260945828698775,-0.4956550111956015,-0.3917013455128835,-0.3332445003083633,-0.29200332412065233,-0.2727836612370398,-0.25309090428863446,-0.23789115142816097,-0.2257436773353465,-0.21576785263938092,-0.2074111969422887,-0.20027427541354292,-0.1940982075683646,-0.18868521629726853,-0.18389961253674603,-0.17963175996226788,-0.17578353705059602,-0.1723078848170898,-0.1675027760969403,-0.16607344619446618},
+{-1.2563554510689166,-0.7258765669340788,-0.4955084852082994,-0.3915978495311938,-0.3331646481023931,-0.29192813077595314,-0.2727263616460789,-0.2530405413086303,-0.23784599611723323,-0.22570253791812434,-0.21572989552277466,-0.2073758275849995,-0.20024105512251644,-0.1940668018244045,-0.1886553661056709,-0.18387111049448635,-0.17960443857917596,-0.17575726149930304,-0.1722825398198493,-0.1674742513875005,-0.16605195311236098},
+{-1.2562501497559446,-0.7256585552766448,-0.4953620368255667,-0.391494417580847,-0.33308484779562697,-0.29185305048441457,-0.27266909999494615,-0.2529902130175117,-0.23780087230615798,-0.22566142738135575,-0.2156919652609579,-0.20734048344809342,-0.20020785866613355,-0.19403541876714225,-0.18862553762051437,-0.18384262930722972,-0.17957713731201874,-0.17573100541055275,-0.17225721369942715,-0.1674458133495662,-0.16603044893250107},
+{-1.2561441620793101,-0.7254405482376001,-0.49521566603847855,-0.391391049626737,-0.33300509935663936,-0.29177808304727293,-0.27261187627076566,-0.2529399193964492,-0.2377557799801675,-0.22562034571167366,-0.2156540618430185,-0.2073051645217321,-0.2001746860364868,-0.19400405839008084,-0.18859573083589876,-0.18381416896969238,-0.1795498561567852,-0.17570476878042562,-0.17223190645227593,-0.16741746098859345,-0.16600893408783168},
+{-1.2560374897556228,-0.7252225461559836,-0.4950693728383251,-0.3912877456342878,-0.33292540275388305,-0.29170322826372175,-0.2725546904611269,-0.25288966042812344,-0.2377107191250385,-0.22557929289730083,-0.21561618525897241,-0.2072698707973295,-0.20014153722577088,-0.1939727206873325,-0.1885659457464346,-0.1837857294779548,-0.179522595109753,-0.1756785516059285,-0.17220661807606863,-0.16738919332364244,-0.16598740900515452},
+{-1.2559301344978684,-0.7250045493695754,-0.49492315721600155,-0.3911845055683205,-0.3328457579562736,-0.2916284859300893,-0.2724975425531966,-0.2528394360942814,-0.23766568972704594,-0.22553826892553808,-0.21557833549845729,-0.20723460226581025,-0.2001084122269825,-0.19394140565277684,-0.18853618234671554,-0.18375731082711866,-0.17949535416739693,-0.17565235388388345,-0.172181348567781,-0.16736100938448129,-0.16596587410397134},
+{-1.2558220980154686,-0.7247865582149111,-0.4947770191624321,-0.39108132939423257,-0.33276616493208966,-0.2915538558381172,-0.2724404325345411,-0.25278924637675626,-0.2376206917712418,-0.22549727378405748,-0.21554051255112672,-0.20719935891765573,-0.20007531103218934,-0.19391011327988572,-0.18850644063119582,-0.1837289130129207,-0.1794681333258854,-0.17562617561091898,-0.17215609792412412,-0.1673329082149122,-0.16594432979680374},
+{-1.2557133820142425,-0.7245685730273626,-0.49463095866853735,-0.3909782170773646,-0.33268662365034096,-0.2914793377780258,-0.27238336039237243,-0.2527390912582854,-0.2375757252441577,-0.22545630746058443,-0.21550271640723295,-0.20716414074446643,-0.20004223363442808,-0.1938788435634775,-0.18847672059468756,-0.18370053603101155,-0.1794409325817563,-0.17560001678428883,-0.17213086614300455,-0.16730488886914063,-0.16592277649033882},
+{-1.2556039881964787,-0.7243505941411619,-0.4944849757249181,-0.3908751685828653,-0.3326071340801482,-0.29140493153588487,-0.27232632611442664,-0.25268897072076424,-0.2375307901314221,-0.225415369943053,-0.2154649470563923,-0.20712894773671664,-0.20000918002606394,-0.1938475964970623,-0.18844702223172582,-0.18367217987676998,-0.17941375193132192,-0.1755738774006952,-0.17210565322126214,-0.1672769504143652,-0.16590121458400287},
+{-1.2554939182608917,-0.7241326218893316,-0.49433907032213087,-0.39077218387633383,-0.3325276961900334,-0.29133063689536964,-0.2722693296880285,-0.2526388847468102,-0.23748588641920154,-0.22537446121915838,-0.2154272044887735,-0.20709377988600153,-0.19997615019966108,-0.19381637207502944,-0.18841734553731548,-0.18364384454649318,-0.17938659137099933,-0.17554775745682782,-0.17208045915658055,-0.16724909192992232,-0.1658796444713655},
+{-1.2553831739027075,-0.7239146566037205,-0.49419324245084395,-0.39066926292299264,-0.3324483099496387,-0.2912564536380957,-0.2722123711008795,-0.2525888333189661,-0.23744101409374885,-0.2253335812771473,-0.21538948869482244,-0.20705863718373596,-0.19994314414871983,-0.19378517029180742,-0.1883876905066053,-0.1836155300355644,-0.1793594508978451,-0.1755216569504956,-0.17205528394652347,-0.16722131250704386,-0.16585806653957036},
+{-1.2552717568135143,-0.7236966986149822,-0.4940474921012461,-0.390566405688789,-0.3323689753279515,-0.2911823815418062,-0.2721554503403283,-0.2525388164197695,-0.23739617314124306,-0.2252927301047638,-0.21535179966415807,-0.20702351962075394,-0.19991016186575372,-0.19375399114135838,-0.18835805713391807,-0.18358723634016627,-0.17933233050820352,-0.1754955758781831,-0.17203012758812353,-0.1671936112492025,-0.16583648116928007},
+{-1.2551596686815019,-0.7234787482526355,-0.49390181926378673,-0.39046361213899594,-0.332289692293795,-0.29110842038220053,-0.27209856739454175,-0.25248883403195155,-0.23735136354808528,-0.2252519076902626,-0.21531413738752736,-0.20698842718854227,-0.19987720334362535,-0.19372283461795714,-0.1883284454147418,-0.18355896345625755,-0.17930523019872702,-0.17546951423710855,-0.17200499007910164,-0.1671659872710256,-0.16581488873546046},
+{-1.255046911191184,-0.7232608058450505,-0.49375622392856,-0.39036088223944354,-0.33221046081724737,-0.29103456993178156,-0.27204172225057643,-0.2524388861382585,-0.2373065853002494,-0.2252111140217954,-0.21527650185518254,-0.2069533598781712,-0.19984426857545223,-0.19369170071626662,-0.1882988553437528,-0.18353071138008037,-0.17927814996657965,-0.17544347202461896,-0.17197987141720983,-0.16713843970007147,-0.16579328960664075},
+{-1.254933486023698,-0.7230428717193571,-0.4936107060857018,-0.3902582159557779,-0.3321312808673431,-0.2909608299610369,-0.2719849148965787,-0.2523889727217119,-0.23726183838461434,-0.22517034908768707,-0.21523889305796473,-0.20691831768196067,-0.1998113575544016,-0.19366058943097286,-0.18826928691657496,-0.18350248010756331,-0.17925108980836235,-0.17541744923825675,-0.17195477160015304,-0.16711096767533284,-0.1657716841459278},
+{-1.2548193948565824,-0.7228249462015932,-0.49346526572521165,-0.39015561325379977,-0.33205215241371366,-0.2908872002384699,-0.2719281453202065,-0.2523390937652943,-0.23721712278754659,-0.22512961287629274,-0.2152013109859272,-0.20688330059071003,-0.1997784702737846,-0.19362950075627072,-0.1882397401282434,-0.18347426963511637,-0.1792240497213058,-0.17539144587493904,-0.17192969062595598,-0.16708357034752908,-0.1657500727098098},
+{-1.2547046393639156,-0.7226070296167033,-0.49331990283692795,-0.3900530740995034,-0.3319730754259087,-0.29081368052895584,-0.27187141350925703,-0.25228924925218,-0.23717243849551828,-0.2250889053759586,-0.215163755630166,-0.20684830859648873,-0.19974560672670627,-0.193598434686737,-0.18821021497430213,-0.1834460799588129,-0.1791970297021246,-0.17536546193219493,-0.17190462849196564,-0.1670562468791763,-0.16572845565008},
+{-1.2545892212162255,-0.7223891222882819,-0.4931746174107081,-0.3899505984587419,-0.33189404987363336,-0.2907402705959905,-0.2718147194514131,-0.2522394391653977,-0.237127785495308,-0.22504822657534262,-0.21512622698091022,-0.20681334169054733,-0.19971276690670425,-0.19356739121748578,-0.1881807114495455,-0.18341791107525385,-0.17917002974812934,-0.17533949740781285,-0.17187958519636481,-0.16702899644392488,-0.16570683331143599},
+{-1.2544731420806852,-0.7221712245390739,-0.49302940943629947,-0.38984818629751583,-0.33181507572696844,-0.2906669702001077,-0.2717580631348504,-0.252189663488541,-0.23708316377370497,-0.22500757646291003,-0.21508872502954635,-0.20677839986467372,-0.19967995080686052,-0.1935363703426054,-0.18815122954991903,-0.18338976298073018,-0.1791430498561173,-0.1753135522986371,-0.17185456073696415,-0.167001818227682,-0.16568520603435832},
+{-1.2543564036208181,-0.7219533366903215,-0.4928842789031638,-0.38974583758199,-0.33173615295568926,-0.2905937790999298,-0.2717014445475625,-0.252139922204643,-0.23703857331745848,-0.22496695502725128,-0.21505124976706114,-0.2067434831111079,-0.1996471584211088,-0.19350537205741158,-0.1881217692709889,-0.1833616356719867,-0.17911609002403228,-0.17528762660305564,-0.17182955511202103,-0.16697471142751752,-0.16566357415348953},
+{-1.2542390074967622,-0.721735459062506,-0.49273922580096796,-0.38964355227824665,-0.33165728152959595,-0.29052069705257555,-0.2716448636771105,-0.2520902152975175,-0.23699401411344212,-0.2249263622572233,-0.21501380118395996,-0.2067085914212523,-0.1996143897426128,-0.19347439635659214,-0.18809233060803443,-0.18333352914524248,-0.1790891502483687,-0.17526172031796072,-0.17180456831959656,-0.16694767525141252,-0.16564193799706928},
+{-1.254120955365213,-0.7215175919746666,-0.4925942501190006,-0.3895413303525066,-0.33157846141893454,-0.2904477238119325,-0.27158832051187787,-0.25204054275064447,-0.23694948614864852,-0.2248857981416199,-0.21497637927173407,-0.20667372478743484,-0.1995816447650114,-0.19344344323522478,-0.18806291355696825,-0.18330544339743415,-0.17906223052711479,-0.17523583344149785,-0.17177960035755202,-0.16692070891951882,-0.16562029788973653},
+{-1.2540022488793543,-0.7212997357449393,-0.4924493518466839,-0.38943917177107146,-0.3314996925937894,-0.29037485913068295,-0.2715318150397614,-0.2519909045475641,-0.2369049894099522,-0.22484526266933003,-0.21493898402140843,-0.20663888320129242,-0.19954892348228093,-0.19341251268783832,-0.18803351811329172,-0.18327737842536962,-0.17903533085761936,-0.17520996597130356,-0.17175465122467592,-0.16689381166213657,-0.16559865414946096},
+{-1.253882889688956,-0.7210818906902152,-0.49230453097333404,-0.38933707650019045,-0.3314209750248258,-0.2903021027587993,-0.2714753472488898,-0.2519413006724873,-0.2368605238845305,-0.2248047558294406,-0.21490161542434372,-0.20660406665510234,-0.19951622588793683,-0.19338160470962684,-0.18800414427294854,-0.18324933422549883,-0.17900845123673026,-0.1751841179049718,-0.17172972091872118,-0.16686698272128986,-0.1655770070896434},
+{-1.2537628794402955,-0.7208640571262426,-0.49215978748795575,-0.389235044506556,-0.3313423086820704,-0.2902294544451527,-0.2714189171276846,-0.25189173110883445,-0.2368160895597713,-0.22476427761098616,-0.21486427347221948,-0.20656927514134882,-0.1994835519762299,-0.19335071929621428,-0.1879747920320627,-0.18322131079554005,-0.17898159166322714,-0.17515828924125199,-0.17170480943843902,-0.16684022135019028,-0.16555535701893653},
+{-1.2536422197762742,-0.7206462353676644,-0.4920151213796373,-0.3891330757563205,-0.33126369353593343,-0.2901569139361646,-0.2713625246635045,-0.25184219584072665,-0.23677168642257396,-0.22472382800267532,-0.2148269581558777,-0.20653450865177092,-0.19945090174057167,-0.19331985644213212,-0.18794546138644108,-0.18319330813171764,-0.17895475213373846,-0.17513247997699555,-0.17167991678274763,-0.16681352681202188,-0.16553370424028113},
+{-1.2535209123362694,-0.7204284257281577,-0.49187053263745106,-0.3890311702162288,-0.3311851295571264,-0.29008448097695716,-0.2713061698453627,-0.25179269485246714,-0.2367273144601354,-0.22468340699429223,-0.21478966946741984,-0.20649976717890972,-0.19941827517536748,-0.19328901614256733,-0.18791615233169434,-0.18316532623094517,-0.1789279326462223,-0.1751066901107281,-0.17165504294899314,-0.1667868983812637,-0.16551204905233785},
+{-1.253398958756414,-0.7202106285201677,-0.49172602125026277,-0.3889293278531758,-0.33110661671626307,-0.2900121553106745,-0.27124985266141177,-0.2517432281281362,-0.23668297366019164,-0.22464301457520452,-0.21475240739841261,-0.20646505071527077,-0.19938567227441428,-0.1932581983936652,-0.18788686486448913,-0.1831373650908743,-0.17890113319875667,-0.1750809196402816,-0.1716301879365547,-0.16676033534334156,-0.16549039174884594},
+{-1.253276360669192,-0.7199928440549623,-0.4915815872067917,-0.3888275486334214,-0.33102815498410276,-0.28993993667809637,-0.2711935730995947,-0.2516937956516685,-0.2366386640097069,-0.22460265073407726,-0.21471517194041478,-0.2064303592529111,-0.19935309303199134,-0.19322740318940834,-0.18785759898053733,-0.1831094247082472,-0.17887435378858996,-0.1750551685639321,-0.17160535174379543,-0.16673383699344768,-0.1654687326187645},
+{-1.2531531197038752,-0.7197750726428063,-0.4914372304958965,-0.38872583252405235,-0.33094974433155944,-0.2898678248193933,-0.27113733114860405,-0.25164439740773137,-0.2365943854966508,-0.22456231546099392,-0.21467796308528353,-0.20639569278470749,-0.19932053744238232,-0.193196630526435,-0.18782835467661396,-0.1830815050807688,-0.17884759441398757,-0.17502943688000006,-0.17158053436982446,-0.16670740263822204,-0.16544707194665964},
+{-1.2530292374861856,-0.7195573145928913,-0.4912929511062494,-0.3886241794917682,-0.3308713847297122,-0.28979581947295063,-0.2710811267964077,-0.25159503338087763,-0.23655013810819625,-0.22452200874516226,-0.2146407808251194,-0.20636105130332272,-0.19928800549991887,-0.19316588039957328,-0.18779913194856235,-0.18305360620528788,-0.17882085507259937,-0.17500372458624902,-0.17155573581302974,-0.16668103159346703,-0.16542541001209976},
+{-1.2529047156385564,-0.7193395702131951,-0.4911487490261601,-0.38852258950358287,-0.33079307614899633,-0.28972392037511874,-0.27102496003146026,-0.2515457035552453,-0.23650592183200114,-0.22448173057632204,-0.21460362515165876,-0.2063264348014826,-0.1992554971987781,-0.19313515280447024,-0.1877699307931069,-0.18302572807990813,-0.17879413576274938,-0.17497803168121706,-0.17153095607232238,-0.16665472318615304,-0.16540374709063954},
+{-1.2527795557799406,-0.7191218398107626,-0.4910046242444004,-0.3884210625265272,-0.33071481856092166,-0.28965212726147804,-0.2709688308426781,-0.25149640791596806,-0.23646173665585124,-0.22444148094424055,-0.21456649605749245,-0.2062918432720684,-0.19922301253396402,-0.1931044477370616,-0.18774075120677036,-0.182997870701481,-0.17876743648239124,-0.17495235816338717,-0.17150619514688792,-0.16662847675284098,-0.16538208345334482},
+{-1.2526537595260534,-0.7189041236914413,-0.49086057674924266,-0.388319598527616,-0.3306366119370052,-0.2895804398652819,-0.2709127392179056,-0.25144714644748145,-0.23641758256727297,-0.22440125983855985,-0.2145293935343533,-0.20625727670764693,-0.19919055149952136,-0.19307376519244368,-0.1877115931856661,-0.18297003406743606,-0.17874075722916238,-0.17492670403113042,-0.1714814530353692,-0.16660229164021256,-0.16536041936685386},
+{-1.252527328489041,-0.7186864221599829,-0.49071660652901894,-0.38821819747393693,-0.3305584562480046,-0.2895088579188734,-0.2708566851459411,-0.2513979191346962,-0.23637345955410005,-0.22436106724897797,-0.2144923175747957,-0.20622273510138545,-0.19915811409046746,-0.19304310516680623,-0.18768245672694928,-0.18294221817598189,-0.1787140980016355,-0.17490106928278326,-0.17145672973685855,-0.16657616720443968,-0.16533875509388185},
+{-1.2524002642778493,-0.7184687355201476,-0.49057271357191734,-0.3881168593328015,-0.33048035146574595,-0.2894373811540625,-0.2708006686151121,-0.25134872596272384,-0.2363293676043572,-0.2243209031657285,-0.21445526817118665,-0.20618821844668478,-0.19912570030151233,-0.19301246765589575,-0.1876533418272066,-0.18291442302448147,-0.17868745879806713,-0.17487545391699477,-0.17143202525083368,-0.1665501028121943,-0.1653170908927022},
+{-1.2522725684979348,-0.718251064074487,-0.490428897866205,-0.3880155840715531,-0.3304022975616654,-0.28936600929998946,-0.27074468961387765,-0.2512995669160931,-0.23628530670555037,-0.22428076757866044,-0.21441824531568,-0.2061537267362148,-0.19909331012742548,-0.19298185265555734,-0.18762424848299375,-0.18288664861051984,-0.17866083961659474,-0.1748498579321085,-0.17140733957590015,-0.16652409783888178,-0.1652954270175151},
+{-1.2521442427515315,-0.7180334081247026,-0.4902851593998818,-0.38791437165750864,-0.3303242945070144,-0.2892947420858416,-0.270688748131219,-0.25125044198058166,-0.23624127684591123,-0.2242406604779319,-0.21438124900137723,-0.20611925996363034,-0.19906094356327841,-0.1929512601616148,-0.18759517669152803,-0.1828588949325729,-0.17863424045530873,-0.17482428132735262,-0.17138267271202867,-0.16649815166971393,-0.1652737637185755},
+{-1.2520152886373979,-0.717815767971222,-0.4901414981610719,-0.38781322205805147,-0.33024634227387306,-0.289223579238052,-0.2706328441552701,-0.2512013511407991,-0.23619727801344492,-0.22420058185364944,-0.21434427922015686,-0.20608481812200719,-0.19902860060362304,-0.19292069016988211,-0.18756612644960402,-0.1828311619875187,-0.17860766131281824,-0.1747987241012936,-0.17135802465747396,-0.16647226369943358,-0.16525210124245504},
+{-1.2518857077510774,-0.7175981439134764,-0.4899979141376871,-0.38771213524089276,-0.33016844083403996,-0.2891525204835359,-0.2705769776749598,-0.25115229438246267,-0.23615331019582708,-0.22416053169612749,-0.2143073359658274,-0.20605040120480123,-0.19899628124419788,-0.1928901426771441,-0.18753709775428273,-0.18280344977428076,-0.1785811021872945,-0.1747731862523514,-0.17133339541254156,-0.1664464333320934,-0.16523043983146746},
+{-1.2517555016846342,-0.7173805362498351,-0.48985440731757635,-0.3876111111733591,-0.3300905901592355,-0.2890815655478587,-0.2705211486786254,-0.2511032716907886,-0.2361093733815549,-0.2241205099958563,-0.21427041923062173,-0.2060160092059382,-0.19896398548007088,-0.19285961767889148,-0.18750809060282947,-0.18277575829049564,-0.17855456307767437,-0.1747476677798918,-0.17130878497664792,-0.16642065998036504,-0.1652087797247903},
+{-1.2516246720269542,-0.7171629452776949,-0.4897109776885289,-0.3875101498234095,-0.330012790221625,-0.28901071415434476,-0.2704653571552029,-0.2510542830513893,-0.23606546755863356,-0.22408051674303753,-0.21423352900749748,-0.2059816421186751,-0.19893171330613502,-0.1928291151714543,-0.18747910499229636,-0.1827480875341898,-0.1785280439821859,-0.17472216868291213,-0.1712841933489404,-0.16639494306660474,-0.1651871211570599},
+{-1.2514932203634794,-0.716945371293189,-0.48956762523829944,-0.3874092511586209,-0.32993504099291204,-0.28893996602691185,-0.2704096030930714,-0.25100532844973067,-0.23602159271522272,-0.22404055192825822,-0.21419666528913073,-0.20594729993687722,-0.19889946471841835,-0.1927986351515818,-0.18745014091995937,-0.18272043750370326,-0.17850154489934944,-0.17469668895993884,-0.1712596205289012,-0.16636928202100432,-0.1651654643594478},
+{-1.2513611482764844,-0.7167278145916676,-0.48942434995460715,-0.38730841514686,-0.32985734244571585,-0.28886932088709116,-0.2703538864812325,-0.2509564078716773,-0.23597774883963485,-0.22400061554246609,-0.21415982806916034,-0.20591298265408664,-0.19886723971174636,-0.19276817761456844,-0.1874211983831513,-0.18269280819706069,-0.1784750658280574,-0.17467122861018414,-0.1712350665164326,-0.16634367628386038,-0.16514380956042984},
+{-1.251228457344754,-0.7165102754672121,-0.4892811518249376,-0.3872076417559809,-0.3297796945522782,-0.28879877845637214,-0.2702982073083655,-0.25090752130287086,-0.2359339359203254,-0.22396070757595687,-0.214123017340631,-0.20587869026487304,-0.19883503828260984,-0.19273774255819554,-0.1873922773797796,-0.18266519961330552,-0.17844860676689756,-0.17464578763364624,-0.1712105313112522,-0.16631812530346668,-0.1651221569840038},
+{-1.2510951491439233,-0.7162927542129918,-0.4891380308369566,-0.3871069309539994,-0.32970209728477595,-0.2887283384559103,-0.27024256556283976,-0.2508586687290153,-0.23589015394539903,-0.22392082801963298,-0.21408623309676145,-0.20584442276265946,-0.19880286042565487,-0.19270732997803286,-0.1873633779066921,-0.18263761174966575,-0.1784221677145359,-0.17462036602825215,-0.17118601491311836,-0.16629262853587257,-0.16510050685067057},
+{-1.2509612252462616,-0.7160752511210942,-0.48899498697796684,-0.38700628270917736,-0.32962455061578044,-0.2886580006044239,-0.2701869612338159,-0.2508098501362568,-0.23584640290352166,-0.22388097686477337,-0.21404947533080065,-0.20581018014188857,-0.1987707061373758,-0.1926769398708048,-0.18733449996177498,-0.1826100446056298,-0.1783957486701535,-0.17459496379438733,-0.17116151732157814,-0.1662671854471851,-0.16507885937873734},
+{-1.2508266872208031,-0.7158577664825976,-0.48885202023550267,-0.3869056969893645,-0.32954705451766575,-0.2885877646215409,-0.2701313943097503,-0.25076106551075217,-0.23580268278288852,-0.22384115410190653,-0.2140127440363715,-0.20577596239652696,-0.1987385754131994,-0.19264657223311854,-0.18730564354290813,-0.1825824981793076,-0.17836934963226714,-0.17456958093088382,-0.1711370385373261,-0.16624179551042673,-0.1650572147816023},
+{-1.250691536633241,-0.7156403005875425,-0.4887091305968463,-0.38680517376274004,-0.32946960896345523,-0.288517630224673,-0.27007586477969436,-0.2507123148385775,-0.23575899357233876,-0.22380135972250237,-0.2139760392069121,-0.205741769521131,-0.19870646824936333,-0.19261622706209458,-0.18727680864758334,-0.18255497246943442,-0.17834297060022664,-0.17454421743736237,-0.1711125785593257,-0.16621645820755937,-0.16503557327090856},
+{-1.250555775046052,-0.7154228537250353,-0.48856631804927364,-0.38670471299785447,-0.3293922139258889,-0.28844759713160695,-0.27002037263252365,-0.25066359810575367,-0.23571533526047528,-0.223761593717537,-0.21393936083637488,-0.20570760150982093,-0.19867438464170917,-0.1925859043541287,-0.18724799527417613,-0.18252746747503323,-0.178316611572793,-0.17451887331380878,-0.17108813738861706,-0.16619117302839737,-0.1650139350540849},
+{-1.2504194040184347,-0.715205426182842,-0.4884235825799683,-0.38660431466282397,-0.3293148693775514,-0.288377665059274,-0.2699649178563899,-0.2506149152987076,-0.23567170783571356,-0.22372185607792616,-0.21390270891759045,-0.2056734583571025,-0.19864232458650033,-0.19255560410573036,-0.1872192034198239,-0.1824999831940115,-0.17829027254881868,-0.17449354855859855,-0.17106371502453754,-0.1661659394700168,-0.1649923003352045},
+{-1.2502824251062963,-0.7149880182480346,-0.4882809241760251,-0.38650397872623987,-0.32923757529161346,-0.28830783372362134,-0.2699095004410381,-0.2505662664038688,-0.2356281112868306,-0.223682146795678,-0.2138660834449766,-0.20563934005759865,-0.19861028807989722,-0.19252532631466845,-0.18719043308318106,-0.1824725196256951,-0.1782639535280186,-0.17446824317259146,-0.17103931146784923,-0.16614075703891196,-0.16497066931646387},
+{-1.2501448398623904,-0.7147706302066936,-0.48813834282481583,-0.3864037051568081,-0.3291603316411429,-0.2882381028407863,-0.2698541203750775,-0.2505176514078551,-0.23558454560317443,-0.22364246586237968,-0.2138294844124724,-0.20560524660656476,-0.1985782751183871,-0.19249507097739382,-0.18716168426208402,-0.18244507676945343,-0.17823765450928342,-0.17444295715524127,-0.17101492671880525,-0.16611562524788415,-0.1649490421958788},
+{-1.25000664983604,-0.7145532623435913,-0.48799583851299033,-0.3863034939226724,-0.32908313839917636,-0.28816847212495933,-0.26979877764691995,-0.25046907029714305,-0.23554101077262146,-0.22360281326879683,-0.21379291181359417,-0.20557117799777913,-0.19854628569814636,-0.19246483809083248,-0.1871329569547875,-0.18241765462371173,-0.17821137549193544,-0.17441769050590583,-0.1709905607773683,-0.16609054361768827,-0.16492741916930953},
+{-1.2498678565735215,-0.7143359149426907,-0.48785341122776416,-0.3862033449929241,-0.32900599553908894,-0.2880989412909605,-0.269743472245918,-0.2504205230585157,-0.2354975067849363,-0.22356318900728045,-0.2137563656425856,-0.20553713422641007,-0.1985143198159962,-0.19243462765270092,-0.1871042511596297,-0.18239025318794688,-0.1781851164750261,-0.17439244322517666,-0.17096621364460063,-0.16606551167724692,-0.1649058004289241},
+{-1.2497284616178326,-0.7141185882870644,-0.48771106095608197,-0.38610325833612347,-0.32892890303441735,-0.28802951005353794,-0.2696882041607589,-0.25037200967833506,-0.2354540336281321,-0.22352359306910508,-0.21371984589334936,-0.20550311528763654,-0.19848237746787945,-0.19240443965964804,-0.1870755668745856,-0.18236287246064453,-0.17815887745848435,-0.1743672153123672,-0.17094188532043653,-0.16604052896185628,-0.1648841861642385},
+{-1.2495884665086865,-0.7139012826585538,-0.48756878768456513,-0.38600323392121805,-0.32885186085815565,-0.28796017812546015,-0.26963297338042747,-0.25032353014389397,-0.23541059129209607,-0.2234840254463748,-0.21368335256016913,-0.20546912117634797,-0.19845045865102318,-0.19237427410925356,-0.18704690409865243,-0.18233551244181,-0.17813265844126924,-0.17434200676797218,-0.17091757580579792,-0.166015595014807,-0.16486257656154368},
+{-1.2494478727825729,-0.7136839983381149,-0.48742659140024713,-0.38590327171713223,-0.32877486898425,-0.2878909452210161,-0.2695777798941359,-0.25027508444190705,-0.23536717976555366,-0.22344448613088996,-0.2136468856369742,-0.2054351518876727,-0.19841856336203811,-0.19234413099901726,-0.18701826282985134,-0.18230817313018477,-0.17810645942328485,-0.1743168175917731,-0.17089328510155255,-0.1659907093862678,-0.16484097180580548},
+{-1.2493066819728749,-0.7134667356056821,-0.48728447208985326,-0.38580337169278334,-0.32869792738636683,-0.2878218110520816,-0.26952262369027036,-0.2502266725595259,-0.2353237990372099,-0.22340497511460278,-0.21361044511837246,-0.2054012074164886,-0.1983866915974808,-0.1923140103259593,-0.1869896430667275,-0.18228085452527587,-0.17808028040363677,-0.17429164778412165,-0.1708690132077395,-0.16596587163330412,-0.16481937207721753},
+{-1.2491648956096668,-0.7132494947402033,-0.4871424297399365,-0.38570353381702027,-0.3286210360380384,-0.28775277533171284,-0.2694675047583326,-0.2501782944837396,-0.23528044909658163,-0.22336549238975945,-0.21357403099831096,-0.20536728775825885,-0.19835484335456055,-0.19228391208776596,-0.18696104480816356,-0.1822535566264465,-0.17805412138219978,-0.17426649734514754,-0.17084476012569372,-0.1659410813197324,-0.16479777755432323},
+{-1.2490225152198935,-0.7130322760197445,-0.4870004643373358,-0.3856037580595162,-0.3285441949133556,-0.28768383777236917,-0.2694124230866759,-0.25012995020184015,-0.2352371299330498,-0.22332603794825,-0.21353764327149882,-0.205333392908555,-0.19832301863022117,-0.19225383628235182,-0.18693246805301023,-0.1822262794329479,-0.17802798235864437,-0.17424136627526732,-0.17082052585617813,-0.16591633801732275,-0.16477618841294284},
+{-1.2488795423272538,-0.7128150797212642,-0.48685857586852777,-0.38550404438929764,-0.32846740398618035,-0.2876149980858518,-0.26935737866504006,-0.25008163970086894,-0.2351938415355761,-0.22328661178269638,-0.21350128193232631,-0.2052995228622585,-0.19829121742145706,-0.19222378290693065,-0.18690391279988994,-0.18219902294459267,-0.17800186333286216,-0.17421625457464618,-0.1707963104001422,-0.16589164130340528,-0.16475460482612192},
+{-1.248735978452343,-0.7125979061207199,-0.48671676432018707,-0.3854043927755981,-0.3283906632303202,-0.2875462559843136,-0.2693023714822562,-0.25003336296851675,-0.2351505838932857,-0.2232472138849504,-0.2134649469751464,-0.20526567761531478,-0.19825943972540738,-0.19219375195958044,-0.1868753790476072,-0.18217178716090032,-0.17797576430453077,-0.17419116224373088,-0.1707721137587912,-0.16586699076176004,-0.16473302696350522},
+{-1.24859182511246,-0.7123807554933039,-0.48657502967858335,-0.3853048031878581,-0.32831397262039363,-0.2874776111788977,-0.26924740152674076,-0.24998511999190764,-0.2351073569958233,-0.2232078442478631,-0.21342863839447368,-0.20523185716286285,-0.19822768553913672,-0.19216374343756737,-0.18684686679503848,-0.18214457208114077,-0.1779496852735365,-0.1741660892831023,-0.17074793593284543,-0.16584238598380008,-0.1647114549937756},
+{-1.2484470838218882,-0.712163628113113,-0.4864333719304357,-0.3852052755956352,-0.32823733213055917,-0.2874090633811015,-0.2691924687884404,-0.2499369107589251,-0.23506416083245885,-0.22316850286379175,-0.21339235618519758,-0.20519806150120523,-0.19819595486010044,-0.192133757339489,-0.1868183760417308,-0.1821173777055538,-0.1779236262395214,-0.17414103569318762,-0.170723776923972,-0.1658178265663981,-0.1646898890814752},
+{-1.2483017560915513,-0.7119465242530483,-0.486291791062051,-0.3851058099685485,-0.32816074173499477,-0.2873406123030522,-0.26913757325571375,-0.24988873525711597,-0.23502099539288235,-0.22312918972530582,-0.21335610034214625,-0.20516429062545782,-0.19816424768577434,-0.1921037936630139,-0.18678990678660234,-0.18209020403368203,-0.17789758720340476,-0.17411600147486173,-0.17069963673313193,-0.16579331211352866,-0.16466832938978015},
+{-1.2481558434294002,-0.7117294441855213,-0.48615028705964125,-0.38500640627601523,-0.32808420140817063,-0.2872722576550384,-0.2690827149182624,-0.24984059347403687,-0.2349778606660582,-0.22308990482525548,-0.21331987085949233,-0.20513054453148527,-0.19813256401338464,-0.19207385240613384,-0.18676145902887153,-0.18206305106483,-0.1778715681645826,-0.17409098662902434,-0.1706755153615802,-0.16576884223421562,-0.16464677607864164},
+{-1.2480093473400982,-0.711512388181561,-0.4860088599097354,-0.38490706448799195,-0.32800771112470084,-0.28720399914911976,-0.26902789376507297,-0.24979248539754462,-0.23493475664177144,-0.22305064815619602,-0.21328366773287755,-0.20509682321546752,-0.19810090384084234,-0.19204393356693394,-0.18673303276765552,-0.1820359187994498,-0.17784556912335958,-0.17406599115575183,-0.1706514128108232,-0.16574441654484762,-0.16462522930573353},
+{-1.2478622693253314,-0.7112953565115205,-0.48586750959868485,-0.38480778457397413,-0.3279312708593398,-0.2871358364955148,-0.2689731097850121,-0.24974441101566924,-0.23489168330966592,-0.22301141971100158,-0.21324749095633067,-0.20506312667283044,-0.1980692671647688,-0.19201403714350818,-0.1867046280023139,-0.18200880723704493,-0.17781959008017267,-0.174041015056285,-0.17062732908239298,-0.165720034666891,-0.16460368922654123},
+{-1.2477146108834676,-0.7110783494446302,-0.48572623611240484,-0.3847085665044707,-0.3278548805870525,-0.2870677694060104,-0.268918362967578,-0.24969637031626402,-0.23484864065923272,-0.22297221948275592,-0.21321134052574386,-0.20502945490039792,-0.1980376539839277,-0.1919841631344852,-0.18667624473271793,-0.18198171637805505,-0.17779363103504053,-0.1740160583321977,-0.17060326417759253,-0.1656956962285232,-0.1645821559942382},
+{-1.247566373509803,-0.7108613672492683,-0.48558503943728315,-0.384609410248979,-0.32777854028214826,-0.2869997975916201,-0.2688636533017563,-0.24964836328737672,-0.23480562867999666,-0.22293304746435538,-0.21317521643520543,-0.20499580789358696,-0.19800606429522105,-0.1919543115381419,-0.1866478829580398,-0.18195464622224122,-0.17776769198855646,-0.17399112098338065,-0.17057921809806054,-0.1656714008630642,-0.16456062975896213},
+{-1.2474175586965774,-0.7106444101929235,-0.48544391955948374,-0.3845103157777574,-0.327702249920125,-0.28693192076346374,-0.2688089807768925,-0.24960038991724787,-0.2347626473619524,-0.22289390364916972,-0.21313911868035618,-0.2049621856487862,-0.19797449809688228,-0.19192448235269577,-0.18661954267804237,-0.18192759676955284,-0.1777417729414088,-0.17396620301157917,-0.17055519084544546,-0.1656471482099251,-0.16453911066923244},
+{-1.2472681679328121,-0.710427478541932,-0.48530287646509507,-0.3844112830607802,-0.3276260094756358,-0.2868641386331072,-0.2687543453823915,-0.24955245019389416,-0.23471969669445691,-0.2228547880300331,-0.2131030472560731,-0.2049285881621543,-0.19794295538623885,-0.19189467557663065,-0.18659122389204796,-0.1819005680201613,-0.17771587389381072,-0.17394130441776134,-0.17053118242181142,-0.16562293791386207,-0.16451759887085515},
+{-1.2471182027045522,-0.7102105725619325,-0.4851619101401594,-0.38431231206842753,-0.32754981892417767,-0.28679645091130723,-0.2686997471071422,-0.24950454410596556,-0.2346767766675324,-0.22281570060038547,-0.21306700215745167,-0.2048950154301732,-0.1979114361618226,-0.19186489120883188,-0.18656292660020846,-0.18187355997424692,-0.17768999484626669,-0.1739164252030152,-0.17050719282828997,-0.16559876962581743,-0.1644960945078351},
+{-1.2469676644944907,-0.7099936925175934,-0.4850210205707164,-0.3842134027711097,-0.32747367824096507,-0.2867288573100799,-0.26864518594106723,-0.2494566716417772,-0.23463388727093992,-0.2227766413539669,-0.21303098338048976,-0.20486146744958678,-0.1978799404212337,-0.19183512924779844,-0.18653465080238352,-0.18184657263255577,-0.17766413579985674,-0.17389156536924588,-0.1704832220673378,-0.1655746430016647,-0.16447459772144501},
+{-1.2468165547825247,-0.709776838672346,-0.4848802077428145,-0.3841145551389884,-0.32739758740142477,-0.286661357541254,-0.2685906618731586,-0.24940883278970016,-0.23459102849454716,-0.22273761028388872,-0.21299499091955365,-0.20482794421637696,-0.19784846816266466,-0.19180538969242278,-0.18650639649848078,-0.18181960599491642,-0.1776382967553385,-0.17386672491710442,-0.1704592701407135,-0.16555055770268368,-0.16445310865075502},
+{-1.2466648750452287,-0.7095600112891747,-0.4847394716422979,-0.3840157691426098,-0.3273215463808583,-0.28659395131622123,-0.26853617489293136,-0.24936102753848033,-0.23454820032791535,-0.22269860738357306,-0.21295902477036144,-0.20479444572728678,-0.19781701938402296,-0.1917756725413735,-0.18647816368800907,-0.18179266006177386,-0.17761247771346156,-0.17384190384836895,-0.17043533705018987,-0.16552651339548863,-0.16443162743304462},
+{-1.2465126267562958,-0.7093432106299313,-0.4845988122552818,-0.3839170447527209,-0.32724555515491094,-0.2865266383476346,-0.2684817249897309,-0.24931325587643904,-0.2345054027613811,-0.22265963264686484,-0.21292308492832568,-0.20476097197915077,-0.1977855940833395,-0.19174597779341074,-0.18644995237133077,-0.18176573483343006,-0.17758667867463274,-0.17381710216449076,-0.17041142279785237,-0.1655025097520424,-0.1644101542032459},
+{-1.2463598113861143,-0.7091264369553034,-0.4844582295674602,-0.3838183819396921,-0.3271696136991693,-0.2864594183469009,-0.26842731215283067,-0.2492655177925931,-0.23446263578479076,-0.2226206860673301,-0.21288717138868662,-0.20472752296850683,-0.19775419225885038,-0.19171630544805573,-0.18642176254854093,-0.18173883031079363,-0.17756089964068433,-0.1737923198672302,-0.17038752738580687,-0.1654785464493811,-0.16438868909414683},
+{-1.2462064304021405,-0.7089096905255343,-0.4843177235647813,-0.38371978067458734,-0.327093721989697,-0.2863922910270418,-0.26837293637243764,-0.24921781327578518,-0.2344198993880653,-0.22258176763924187,-0.21285128414760468,-0.2046940986922774,-0.1977228139092393,-0.19168665550415298,-0.1863935942202133,-0.1817119464943593,-0.17753514061198228,-0.17376755695810076,-0.17036365081639016,-0.16545462316952264,-0.16436723223661698},
+{-1.2460524852687507,-0.7086929715996853,-0.4841772942330991,-0.3836212409280284,-0.3270178800021091,-0.2863252561013052,-0.2683185976371396,-0.24917014231479406,-0.23437719356151732,-0.22254287735600542,-0.21281542319996127,-0.20466069914719398,-0.1976914590325265,-0.1916570279605434,-0.18636544738616667,-0.18168508338423273,-0.17750940159015283,-0.1737428134389356,-0.17033979309160419,-0.1654307395995822,-0.16434578375888798},
+{-1.2458979774472696,-0.7084762804357685,-0.4840369415581076,-0.3835227626709914,-0.326942087712645,-0.28625831328237794,-0.26826429593741885,-0.24912250489861787,-0.23433451829500562,-0.2225040152118254,-0.21277958854202694,-0.20462732433057607,-0.19766012762717278,-0.19162742281716927,-0.1863373220469704,-0.18165824098172845,-0.17748368257619607,-0.17371808931171007,-0.17031595421391987,-0.1654068954312251,-0.16432434378817717},
+{-1.2457429083959086,-0.7082596172912905,-0.48389666552583055,-0.38342434587465046,-0.3268663450973257,-0.2861914622840951,-0.26821003126251153,-0.24907490101663043,-0.2342918735792372,-0.2224651812009526,-0.21274378016895934,-0.20459397423970316,-0.19762881969164425,-0.19159784007288394,-0.18630921820281632,-0.18163141928752502,-0.17745798357149933,-0.1736933845783506,-0.17029213418593514,-0.16538309036107712,-0.16430291244880113},
+{-1.2455872795698752,-0.7080429824224925,-0.483756466121668,-0.3833259905096673,-0.32679065213217307,-0.2861247028197562,-0.2681558036020997,-0.24902733065748617,-0.23424925940380792,-0.2224263753171858,-0.21270799807688956,-0.20456064887109182,-0.19759753522450918,-0.19156827972721668,-0.1862811358544585,-0.18160461830198127,-0.1774323045772368,-0.1736686992404639,-0.17026833300930022,-0.16535932409082932,-0.16428148986366953},
+{-1.2454310924213403,-0.7078263760849293,-0.48361634333150416,-0.38322769654764244,-0.32671500879398696,-0.2860580346039088,-0.2681016129461131,-0.2489797938109275,-0.23420667575927467,-0.2223875975549907,-0.21267224226148862,-0.20452734822233776,-0.19756627422427986,-0.19153874177994012,-0.18625307500265986,-0.18157783802631489,-0.17740664559511554,-0.1736440333006719,-0.17024455068719213,-0.16533559632623174,-0.1642600761534485},
+{-1.2452743483994428,-0.7076097985332126,-0.4834762971410518,-0.3831294639595413,-0.3266394150586285,-0.285991457351348,-0.26804745928401275,-0.2489322904659641,-0.23416412263636133,-0.2223488479088438,-0.21263651271893114,-0.20449407229099492,-0.1975350366897466,-0.191509226230548,-0.1862250356478965,-0.18155107846145935,-0.17738100662644563,-0.17361938676077937,-0.17022078722203116,-0.16531190677833685,-0.1642386714374684},
+{-1.2451170489502643,-0.7073932500210658,-0.4833363275358211,-0.3830312927169981,-0.32656387090284067,-0.28592497077684076,-0.2679933426058847,-0.24888482061190054,-0.2341216000252171,-0.2223101263729177,-0.21260080944455595,-0.2044608210739245,-0.19750382261964017,-0.19147973307859711,-0.18619701779114717,-0.18152433960821757,-0.1773553876728684,-0.173594759623251,-0.17019704261604662,-0.16528825516186618,-0.16421727583228574},
+{-1.2449591955169237,-0.7071767308013008,-0.4831964345014441,-0.38293318279114175,-0.32648837630310634,-0.28585857459633335,-0.267939262901729,-0.24883738423849167,-0.23407910791611997,-0.22227143294183183,-0.21256513243482544,-0.20442759456895843,-0.1974726320128628,-0.1914502623243619,-0.18616902143250336,-0.18149762146809945,-0.17732978873581917,-0.17357015189020863,-0.17017331687255943,-0.16526464119640316,-0.16419588945351382},
+{-1.2448007895394197,-0.7069602411258575,-0.483056618023725,-0.38283513415365533,-0.3264129312363684,-0.28579226852500295,-0.2678852201609514,-0.24878998133531205,-0.2340366462998391,-0.22223276761023847,-0.21252948168567176,-0.20439439277376614,-0.19744146486770298,-0.19142081396704747,-0.18614104657350872,-0.18147092404147624,-0.1773042098175832,-0.17354556356425999,-0.17014960999371098,-0.1652410646063167,-0.164174512414891},
+{-1.2446418324549446,-0.7067437812458977,-0.4829168780881199,-0.38273714677623794,-0.32633753567945156,-0.285726052279494,-0.26783121437425006,-0.2487426118916396,-0.2339942151671588,-0.22219413037280322,-0.212493857193218,-0.2043612156857577,-0.19741032118375923,-0.19139138800714317,-0.1861130932151731,-0.18144424733031794,-0.1772786509189972,-0.17352099464757664,-0.17012592198257703,-0.16521752511975052,-0.16415314482771226},
+{-1.2444823256973692,-0.7065273514115091,-0.4827772146800955,-0.38263922063054956,-0.326262189609257,-0.2856599255776082,-0.2677772455312386,-0.24869527589789442,-0.2339518145088766,-0.2221555212243107,-0.21245825895381643,-0.2043280633028548,-0.19737920095985384,-0.19136198444466057,-0.18608516135858366,-0.1814175913354008,-0.17725311204285532,-0.1734964451428631,-0.17010225284210634,-0.16519402246923498,-0.16413178680258245},
+{-1.2443222706979036,-0.7063109518720543,-0.4826376277852855,-0.38254135568836833,-0.32618689300256154,-0.28559388813581954,-0.26772331362218704,-0.24864797334299737,-0.23390944431549165,-0.2221169401597125,-0.21242268696328992,-0.20429493562290713,-0.19734810419503557,-0.19133260327975066,-0.18605725100470938,-0.18139095605797095,-0.17722759319059822,-0.173471915052966,-0.17007860257510377,-0.16517055639176892,-0.16411043844800588},
+{-1.2441616688845683,-0.7060945828759468,-0.48249811738912474,-0.38244355192140134,-0.32611164583668995,-0.2855279396728294,-0.26766941863714777,-0.24860070421738456,-0.23386710457799964,-0.22207838717401174,-0.21238714121836733,-0.20426183264378928,-0.19731703088837893,-0.1913032445126781,-0.18602936215481147,-0.18136434149970704,-0.17720209436458756,-0.1734474043801688,-0.17005497118477297,-0.16514712662815345,-0.1640890998707265},
+{-1.2440005216824366,-0.7058782446709522,-0.4823586834772078,-0.38234580930188855,-0.32603644808896615,-0.2854620799063774,-0.26761556056646807,-0.2485534685110098,-0.23382479528731714,-0.22203986226185268,-0.21235162171481914,-0.20422875436304722,-0.1972859810389398,-0.19127390814328127,-0.1860014948101103,-0.18133774766184452,-0.17717661556643716,-0.17342291312714142,-0.17003135867380959,-0.16512373292355242,-0.16406777117640026},
+{-1.2438388305136674,-0.7056619375036846,-0.48221932603475626,-0.38224812780174844,-0.32596129973689614,-0.28539630855617837,-0.2675617394005467,-0.2485062662137274,-0.23378251643474446,-0.22200136541890547,-0.21231612844981118,-0.2041957007793993,-0.19725495464670395,-0.19124459417283202,-0.18597364897201718,-0.18131117454598922,-0.17715115679875382,-0.1733984412974623,-0.17000776504536486,-0.16510037502703057,-0.1640464524689058},
+{-1.2436765967973828,-0.7054456616200371,-0.4820800450475238,-0.3821505073932334,-0.32588620075765995,-0.2853306253421639,-0.26750795512951875,-0.2484590973158829,-0.23374026801099568,-0.2219628966401963,-0.21228066141942925,-0.2041626718909697,-0.19722395171002738,-0.19121530260138453,-0.18594582464209353,-0.18128462215390506,-0.1771257180632464,-0.1733739888930943,-0.16998419030304124,-0.16507705269181994,-0.16402514385036238},
+{-1.243513821949771,-0.7052294172650813,-0.4819408405007364,-0.3820529480484156,-0.3258111511289741,-0.2852650299844166,-0.267454207743973,-0.2484119618076175,-0.2336980500079866,-0.22192445592115995,-0.2122452206200327,-0.20412966769558594,-0.19719297222926357,-0.19118603342946727,-0.18591802182169292,-0.18125809048679198,-0.1771002993629356,-0.17334955591752,-0.16996063444936027,-0.16505376567507568,-0.16400384542241486},
+{-1.2433505073840325,-0.7050132046829418,-0.4818017123799123,-0.3819554497397739,-0.32573615082810203,-0.2851995222041417,-0.2674004972342967,-0.24836485967884503,-0.2336558624163061,-0.22188604325717254,-0.21220980604845696,-0.2040966881919264,-0.19716201620316198,-0.19115678665795777,-0.18589024051251535,-0.18123157954649738,-0.17707490069962972,-0.1733251423738329,-0.16993709748840757,-0.1650305137375785,-0.16398255728421152},
+{-1.2431866545104655,-0.7047970241169361,-0.4816626606702137,-0.3818580124394835,-0.32566119983335184,-0.28513410172247244,-0.26734682359105477,-0.24831779092025208,-0.233613705227822,-0.22184765864365996,-0.2121744177013003,-0.2040637333785158,-0.19713108363173415,-0.19112756228768646,-0.18586248071604583,-0.18120508933525503,-0.1770495220761248,-0.1733007482648734,-0.1699135794228166,-0.1650072966443794,-0.16396127953459239},
+{-1.2430222647363482,-0.7045808758097003,-0.4815236853572964,-0.3817606361207515,-0.32558629812264606,-0.2850687682619819,-0.2672931868052233,-0.24827075552247901,-0.2335715784343364,-0.2218093020765881,-0.21213905557555357,-0.20403080325368173,-0.19710017451438056,-0.19109836031930527,-0.18583474243413978,-0.18117861985460504,-0.1770241634946439,-0.17327637359416137,-0.1698900802566934,-0.1649841141642412,-0.16394001227037425},
+{-1.242857339466119,-0.704364760002659,-0.48138478642623195,-0.38166332075519893,-0.32551144567348356,-0.2850035215457387,-0.2672395868666477,-0.24822375347557202,-0.23352948202655543,-0.22177097355107822,-0.21210371966738428,-0.20399789781612654,-0.1970692888509067,-0.19106918075375567,-0.185807025668157,-0.18115217110631576,-0.1769988249581642,-0.1732520183644768,-0.16986659999300002,-0.16496096606947397,-0.16391875558658686},
+{-1.2426918801012223,-0.704148676936807,-0.4812459638626496,-0.38156606631622747,-0.32543664246447435,-0.2849383612974101,-0.2671860237670307,-0.24817678477044414,-0.23348741599708767,-0.22173267306352962,-0.21206840997437926,-0.20396501706480574,-0.19703842664108606,-0.1910400235923424,-0.18577933042032857,-0.18112574309277907,-0.1769735064692881,-0.1732276825794541,-0.1698431386354864,-0.164937852136263,-0.16389750957839322},
+{-1.2425258880402552,-0.7039326268521773,-0.4811072176518296,-0.38146887277668906,-0.3253618884735294,-0.28487328724177896,-0.2671324974970508,-0.24812984939768779,-0.23344538033780537,-0.22169440060991796,-0.21203312649301775,-0.20393216099849187,-0.19700758788488404,-0.19101088883616146,-0.18575165669239269,-0.18109933581595072,-0.1769482080305096,-0.17320336624245858,-0.16981969618756665,-0.1649147721445159,-0.16387627433838858},
+{-1.2423593646786966,-0.7037166099876746,-0.4809685477788843,-0.3813717401088361,-0.3252871836790403,-0.2848082991029788,-0.2670790080471592,-0.24808294734816183,-0.23340337504037123,-0.2216561561858459,-0.21199786922044428,-0.20389932961592638,-0.1969767725821816,-0.19098177648623427,-0.18572400448617898,-0.18107294927783002,-0.17692292964514422,-0.17317906935669125,-0.169796272653171,-0.16489172587770806,-0.1638550499586433},
+{-1.242192311409334,-0.7035006265818486,-0.48082995422913477,-0.38127466828624446,-0.3252125280594784,-0.28474339660748527,-0.2670255554089076,-0.248036078612361,-0.23336140009684847,-0.22161793978767363,-0.21196263815358218,-0.20386652291634277,-0.1969459807328855,-0.19095268654401032,-0.18569637380399584,-0.18104658348142877,-0.17689767131571799,-0.17315479192567285,-0.16977286803605196,-0.16486871312242535,-0.16383383652934214},
+{-1.2420247296219458,-0.7032846768721539,-0.480691436988157,-0.38117765728191877,-0.32513792159353816,-0.2846785794820308,-0.2669721395728857,-0.24798924318159,-0.23331945549959343,-0.22157975141150565,-0.21192743328961772,-0.2038337408987605,-0.19691521233707387,-0.1909236190107242,-0.18566876464756987,-0.1810202384278643,-0.17687243304566813,-0.17313053395349165,-0.16974948233957754,-0.1648457336694591,-0.16381263413974523},
+{-1.2418566207034223,-0.7030687610951754,-0.4805529960408803,-0.38108070706869945,-0.3250633642594032,-0.28461384745351204,-0.26691876053056074,-0.24794244104675922,-0.23327754124118627,-0.22154159105392157,-0.21189225462617145,-0.2038009835626875,-0.19688446739514376,-0.19089457388810427,-0.18564117701907712,-0.18099391412064403,-0.17684721483781018,-0.1731062954433611,-0.16972611556787243,-0.1648227873129482,-0.1637914428782743},
+{-1.2416879860376921,-0.7028528794869393,-0.4804146313728417,-0.38098381762024935,-0.32498885603612226,-0.28454920025054964,-0.2668654182732544,-0.2478956721986405,-0.2332356573137755,-0.22150345871108534,-0.2118571021597342,-0.20376825090755535,-0.19685374590706228,-0.19086555117753878,-0.1856136109205293,-0.18096761056166244,-0.17682201669562225,-0.17308207639915985,-0.16970276772523185,-0.1647998738497236,-0.16377026283131535},
+{-1.2415188270059545,-0.7026370322823361,-0.4802763429691641,-0.38088698890959805,-0.32491439690272816,-0.28448463760137077,-0.2668121127920351,-0.2478489366287535,-0.23319380370985687,-0.221465354379613,-0.2118219758881157,-0.20373554293226004,-0.19682304787335791,-0.19083655088066553,-0.18558606635441688,-0.18094132775384342,-0.17679683862201045,-0.1730578768244424,-0.16967943881492786,-0.16477699308060423,-0.16374909408444083},
+{-1.2413491449863465,-0.7024212197157089,-0.48013813081483114,-0.38079022091027426,-0.32483998683790904,-0.2844201592359914,-0.26675884407835593,-0.24780223432812765,-0.23315198042223617,-0.22142727805610818,-0.21178687580877664,-0.20370285963673762,-0.19679237329414967,-0.19080757299941453,-0.18555854332299404,-0.18091506569949534,-0.17677168062065363,-0.17303369672304392,-0.1696561288415328,-0.164754144809649,-0.16372793672191577},
+{-1.2411789413543186,-0.702205442020448,-0.4799999948955582,-0.38069351359605363,-0.32476562582108226,-0.28435576488515757,-0.26670561212377564,-0.2477555652882666,-0.23311018744405398,-0.221389229737472,-0.21175180191934828,-0.20367020102087263,-0.1967617221703888,-0.19077861753552305,-0.18553104182854518,-0.18088882440170018,-0.1767465426950352,-0.17300953609932002,-0.16963283780912164,-0.16473132884418362,-0.16370679082729112},
+{-1.2410082174822348,-0.7019896994292232,-0.47986193519632714,-0.38059686694031036,-0.32469131383107097,-0.2842914542798045,-0.2666524169197473,-0.24770892950017487,-0.23306842476800238,-0.22135120942031605,-0.2117167542170515,-0.2036375670839341,-0.1967310945022671,-0.19074968449075413,-0.18550356187339112,-0.18086260386276365,-0.17672142484843256,-0.1729853949566813,-0.16960956572153485,-0.16470854499408638,-0.16368565648207678},
+{-1.2408369747397625,-0.7017739921737771,-0.4797239517023888,-0.38050028091705546,-0.3246170508471815,-0.2842272271526216,-0.26659925845806587,-0.24766232695589085,-0.2330266923873916,-0.2213132171015033,-0.2116817326997973,-0.20360495782640875,-0.19670049029055914,-0.1907207738674419,-0.18547610346020083,-0.18083640408623047,-0.17669632708465954,-0.17296127329978184,-0.16958631258345314,-0.16468579307289133,-0.16366453376756596},
+{-1.2406652144936174,-0.7015583204852076,-0.47958604439885644,-0.38040375549968175,-0.3245428368490142,-0.2841630832358222,-0.2665461367301756,-0.24761575764648658,-0.23298499029515352,-0.221275252778093,-0.21164673736484918,-0.20357237324787913,-0.19666990953563968,-0.1906918856671851,-0.1854486665912809,-0.18081022507469768,-0.1766712494074696,-0.17293717113234663,-0.16956307839897278,-0.16466307289721804,-0.1636434227633572},
+{-1.2404929381077676,-0.7013426845938282,-0.47944821327120835,-0.3803072906626177,-0.324468671816307,-0.28409902226369965,-0.2664930517282471,-0.2475692215640164,-0.23294331848502914,-0.2212373164472421,-0.21161176821071948,-0.20353981334836924,-0.1966393522390204,-0.190663019892634,-0.1854212512694815,-0.18078406683138226,-0.17664619182019337,-0.1729130884583583,-0.16953986317269454,-0.1646403842861357,-0.16362232354780204},
+{-1.240320146943235,-0.7011270847289222,-0.4793104583043597,-0.38021088637972156,-0.3243945557283512,-0.2840350439712491,-0.26644000344410834,-0.2475227187001412,-0.232901676950501,-0.22119940810624872,-0.21157682523548793,-0.20350727812842795,-0.19660881840131417,-0.19063417654591674,-0.18539385749728332,-0.18075792935921164,-0.1766211543275329,-0.17288902528275862,-0.16951666690928313,-0.16461772706280087,-0.1636012361991881},
+{-1.2401468423581634,-0.7009115211193135,-0.4791727794837284,-0.38011454262500344,-0.3243204885649833,-0.2839711480935758,-0.2663869918695134,-0.24747624904635845,-0.2328600656850064,-0.22116152775223785,-0.21154190843610277,-0.2034747675880615,-0.19657830802299614,-0.19060535562918623,-0.18536648527757293,-0.18073181266152538,-0.17659613693287035,-0.1728649816093224,-0.16949348961279043,-0.16459510105182673,-0.16358016079340132},
+{-1.2399730257080326,-0.7006959939926922,-0.4790351767941621,-0.38001825937282874,-0.3242464703059884,-0.28390733436734994,-0.2663340169968613,-0.2474298125951142,-0.2328184846824204,-0.22112367538277766,-0.21150701781153902,-0.20344228172787027,-0.19654782110594216,-0.19057655714521715,-0.18533913461292073,-0.18070571674150138,-0.17657113964036775,-0.17284095744242833,-0.16947033128812805,-0.16457250608168295,-0.16355909740626728},
+{-1.239798698345401,-0.7004805035761894,-0.47889765022139663,-0.37992203659747936,-0.3241725009314811,-0.2838436025296609,-0.26628107881810514,-0.24738340933803027,-0.23277693393639431,-0.22108585099538747,-0.21147215335968106,-0.20340982054803636,-0.1965173576506567,-0.19054778109575032,-0.18531180550629678,-0.18067964160258043,-0.1765461624540059,-0.17281695278661857,-0.1694471919400513,-0.16454994198304007,-0.1635380461125422},
+{-1.2396238616199242,-0.7002650500962826,-0.4787601997501092,-0.3798258742734033,-0.3240985804216949,-0.28377995231896236,-0.26622817732565807,-0.24733703926743722,-0.23273541344183712,-0.22104805458736188,-0.21143731507890617,-0.20337738404960248,-0.1964869176587971,-0.19051902748442018,-0.18528449796062318,-0.18065358724806302,-0.17652120537821503,-0.17279296764662,-0.1694240715734452,-0.16452740858990644,-0.16351700698532845},
+{-1.2394485168784972,-0.7000496337782174,-0.4786228253658207,-0.3797297723751516,-0.3240247087565402,-0.28371638347474804,-0.2661753125115949,-0.2472907023754587,-0.23269392319226423,-0.22101028615657903,-0.2114025029674238,-0.20334497223295145,-0.19645650113134128,-0.19049029631326064,-0.1852572119790068,-0.18062755368175765,-0.17649626841714827,-0.17276900202672074,-0.16940097019290512,-0.16450490573857834,-0.16349598009763433},
+{-1.2392726654653021,-0.6998342548470111,-0.47848552705352443,-0.3796337308772797,-0.32395088591641485,-0.2836528957364699,-0.2661224843687702,-0.24724439865448122,-0.2326524631823741,-0.22097254570109648,-0.21136771702414325,-0.2033125850989883,-0.1964261080699261,-0.19046158758509435,-0.18522994756446565,-0.18060154090692748,-0.17647135157551475,-0.17274505593168143,-0.1693778878032255,-0.16448243326794731,-0.1634749655208836},
+{-1.2390963087216655,-0.6996189135264164,-0.47834830479856993,-0.3795377497545527,-0.3238771118815684,-0.2835894888456485,-0.2660696928893893,-0.2471981280966844,-0.2326110334062541,-0.22093483321820706,-0.2113329572471505,-0.20328022264868562,-0.19639573847568137,-0.19043290130287893,-0.18520270471948308,-0.18057554892733307,-0.17644645485703414,-0.17272112936617035,-0.16935482440999472,-0.16445999101962627,-0.16345396332632234},
+{-1.2389194479860315,-0.6994036100398926,-0.4782111585859399,-0.37944182898163437,-0.32380338663303476,-0.2835261625439527,-0.26601693806632376,-0.24715189069499388,-0.2325696338586738,-0.22089714870653587,-0.21129822363534334,-0.20324788488291734,-0.19636539235072803,-0.19040423746957913,-0.18517548344816248,-0.18054957774706004,-0.17642157826667137,-0.1726972223350085,-0.16933178001791305,-0.1644375788379442,-0.1634329735836264},
+{-1.2387420845940973,-0.6991883446097509,-0.4780740884010113,-0.37934596853388136,-0.3237297101511425,-0.2834629165742495,-0.2659642198923384,-0.24710568644166298,-0.23252826453493292,-0.22085949216402145,-0.21126351618789307,-0.2032155718028239,-0.1963350696964561,-0.1903755960879856,-0.18514828375365688,-0.18052362736955807,-0.17639672180897037,-0.1726733348429068,-0.16930875463232198,-0.1644151965693066,-0.16341199636185344},
+{-1.2385642198788482,-0.6989731174576486,-0.4779370942290253,-0.3792501683859113,-0.3236560824167709,-0.28339975068044687,-0.26591153836003745,-0.24705951532943438,-0.23248692542904514,-0.22082186358832523,-0.2112288349029292,-0.20318328340937164,-0.19630477051429907,-0.1903469771612123,-0.18512110563832884,-0.18049769779873692,-0.17637188548847504,-0.1726494668946259,-0.169285748258023,-0.1643928440632294,-0.16339103172873592},
+{-1.2383858551703555,-0.6987579288044481,-0.47780017605489533,-0.37915442851303105,-0.3235825034106714,-0.283336664607325,-0.2658588934625694,-0.24701337735106588,-0.2324456165368085,-0.2207842629784329,-0.21119417977999877,-0.20315101970430582,-0.19627449480639036,-0.1903183806926858,-0.18509394910646115,-0.1804717890387355,-0.17634706931007038,-0.172625618495573,-0.1692627609008781,-0.1643705211713069,-0.16337007975275064},
+{-1.238206991796142,-0.6985427788705811,-0.47766333386425863,-0.37905874889051017,-0.32350897311383076,-0.28327365810096605,-0.2658062851930323,-0.2469672724996972,-0.23240433785306536,-0.22074669033242778,-0.21115955081814874,-0.20311878068865497,-0.1962442425748243,-0.19028980668573325,-0.18506681416119442,-0.18044590109355063,-0.17632227327860583,-0.17260178965048567,-0.1692397925659499,-0.16434822774720104,-0.16334914049973825},
+{-1.2380276310806702,-0.6983276678751613,-0.4775265676417355,-0.3789631294933393,-0.32343549150731743,-0.2832107309073635,-0.26575371354413857,-0.24692120076812962,-0.23236308937325312,-0.22070914564890298,-0.211124948016451,-0.20308656636390054,-0.19621401382152648,-0.19026125514342418,-0.18503970080595877,-0.18042003396753437,-0.17629749739887934,-0.17257798036431993,-0.1692168432587362,-0.16432596364747987,-0.16332821403568332},
+{-1.23784777434585,-0.6981125960369594,-0.4773898773729197,-0.3788675702974018,-0.323362058572652,-0.2831478827748404,-0.26570117850980246,-0.2468751621496832,-0.23232187109267954,-0.2206716289265067,-0.2110903713743184,-0.2030543767317834,-0.1961838085485308,-0.1902327260692882,-0.18501260904457695,-0.18039418766492687,-0.1762727416759251,-0.17255419064272104,-0.1691939129851523,-0.16430372873081645,-0.16330730042560404},
+{-1.2376674229107372,-0.6978975635740445,-0.47725326304302396,-0.37877207127797075,-0.3232886742909846,-0.28308511345202714,-0.26564868008291675,-0.2468291566373253,-0.23228068300693483,-0.22063414016380456,-0.21105582089102004,-0.20302221179359492,-0.19615362675782144,-0.19020421946681942,-0.1849855388805075,-0.1803683621895651,-0.17624800611450375,-0.17253042049042833,-0.1691710017500192,-0.16428152285785202,-0.16328639973321835},
+{-1.2374865780917026,-0.6976825707032743,-0.47711672463717036,-0.37867663241081395,-0.323215338643589,-0.28302242268858624,-0.2655962182571603,-0.24678318422457135,-0.23223952511197155,-0.2205966793597387,-0.21102129656641644,-0.20299007155139925,-0.19612346845218198,-0.19017573533984766,-0.18495849031748257,-0.18034255754640505,-0.17622329072004916,-0.1725066699128348,-0.1691481095596412,-0.16425934589197944,-0.16326551202267225},
+{-1.2373052412023302,-0.6974676176414132,-0.4769802621407164,-0.37858125367173656,-0.32314205161226717,-0.2829598102356341,-0.26554379302615505,-0.24673724490469784,-0.23219839740345538,-0.22055924651321313,-0.21098679839993117,-0.2029579560066903,-0.19609333363365877,-0.1901472736919665,-0.18493146335912414,-0.1803167737397242,-0.17619859549767902,-0.17248293891575628,-0.16912523641976485,-0.16423719769820444,-0.16324463735602635},
+{-1.2371234135535305,-0.6972527046038417,-0.476843875538675,-0.3784859350362524,-0.323068813178649,-0.2828972758437791,-0.2654914043833605,-0.24669133867143067,-0.23215729987721456,-0.22052184162346666,-0.21095232639098782,-0.20292586516140965,-0.19606322230474227,-0.19011883452681744,-0.18490445800960842,-0.18029101077421217,-0.17617392045239733,-0.1724592275040262,-0.16910238233590924,-0.16421507814385095,-0.16322377579532876},
+{-1.236941096453306,-0.6970378318056847,-0.47670756481650933,-0.378390676480552,-0.32299562332458986,-0.28283481926670273,-0.26543905232278764,-0.2466454655182435,-0.23211623252959868,-0.22048446468938732,-0.21091788054008198,-0.20289379901759297,-0.19603313446823023,-0.19009041784847547,-0.18487747427272083,-0.18026526865445902,-0.17614926558965394,-0.172435535683233,-0.16907954731416552,-0.1641929870987937,-0.16320292740153164},
+{-1.2367582912072304,-0.6968229994610553,-0.4765713299593646,-0.3782954779807213,-0.3229224820318608,-0.2827724402580003,-0.2653867368383871,-0.24659962543902125,-0.23207519535677346,-0.2204471157103418,-0.21088346084687082,-0.20286175757718716,-0.19600307012655094,-0.1900620236610262,-0.18485051215241555,-0.18023954738521297,-0.1761246309149822,-0.17241186345952286,-0.16905673136062482,-0.16417092443463943,-0.16318209223529045},
+{-1.236574999117817,-0.6966082077835205,-0.47643517095252896,-0.3782003395128095,-0.3228493892826174,-0.2827101385723694,-0.265334457924002,-0.2465538184274827,-0.2320341883551027,-0.22040979468574484,-0.21084906731165454,-0.2028297408421178,-0.19597302928266025,-0.19003365196820177,-0.18482357165315655,-0.18021384697130038,-0.17610001643373785,-0.17238821083781097,-0.16903393448114912,-0.16414889002465394,-0.16316127035654482},
+{-1.2363912214851616,-0.6963934569857253,-0.47629908778125873,-0.3781052610532676,-0.3227763450586565,-0.28264791396576516,-0.265282215573893,-0.24650804447769303,-0.23199321152076813,-0.22037250161506527,-0.21081469993420043,-0.2027977488148025,-0.1959430119393506,-0.190005302774507,-0.18479665277832247,-0.18018816741772525,-0.17607542215170113,-0.17236457782452774,-0.16901115668201427,-0.16412688374463436,-0.16314046182397313},
+{-1.2362069596064518,-0.6961787472796974,-0.4761630804308634,-0.37801024257807736,-0.32270334934263456,-0.2825857661947877,-0.2652300097823046,-0.24646230358377164,-0.23195226485093023,-0.22033523649787057,-0.2107803587146968,-0.2027657814973125,-0.19591301809969153,-0.18997697608362962,-0.18476975553284092,-0.18016250872971362,-0.17605084807392757,-0.17234096442513014,-0.16898839796945353,-0.1641049054722128,-0.1631196666965895},
+{-1.2360222147762916,-0.6959640788767407,-0.4760271488867147,-0.37791528406412045,-0.32263040211686445,-0.28252369501753183,-0.26517784054373994,-0.24641659573984143,-0.23191134834192617,-0.22029799933386407,-0.21074604365423077,-0.20273383889214713,-0.1958830477667579,-0.1899486719005985,-0.18474287992110128,-0.18013687091222508,-0.17602629420663263,-0.17231737064527763,-0.1689656583498742,-0.16408295508667337,-0.16309888503190528},
+{-1.2358369882864633,-0.6957494519874645,-0.47589129313393386,-0.3778203854878175,-0.3225575033637469,-0.28246170019320616,-0.2651257078526488,-0.2463709209405982,-0.23187046199098305,-0.22026079012297117,-0.2107117547529036,-0.202701921001589,-0.19585310094383068,-0.1899203902292097,-0.18471602594709147,-0.18011125397062777,-0.17600176055529815,-0.17229379649146814,-0.16894293782956282,-0.16406103246990789,-0.16307811688770535},
+{-1.2356512814262275,-0.6955348668216521,-0.47575551315803555,-0.37772554682565485,-0.3224846530657066,-0.28239978148150424,-0.2650736117036292,-0.24632527917972524,-0.23182960579500023,-0.22022360886507286,-0.21067749201120378,-0.20267002782783194,-0.19582317763389767,-0.18989213107403735,-0.18468919361566094,-0.18008565790994702,-0.1759772471259886,-0.17227024196953522,-0.1689202364149871,-0.16403913750489352,-0.16305736232079582},
+{-1.2354650954820197,-0.6953203235883736,-0.47561980894440303,-0.3776307680546749,-0.32241185120570837,-0.28233793864385603,-0.2650215520915946,-0.24627967045226296,-0.2317887797508238,-0.22018645556010874,-0.21064325542988982,-0.20263815937403074,-0.195793277840572,-0.18986389444004104,-0.1846623829312577,-0.1800600827359382,-0.17595275392454823,-0.172246707085554,-0.16889755411300023,-0.16401727007673017,-0.16303662138726338},
+{-1.235278431737671,-0.6951058224961661,-0.475484180478257,-0.3775360491518116,-0.3223390977662035,-0.2822761714418496,-0.2649695290110996,-0.2462340947530013,-0.23174798385602813,-0.22014933020853356,-0.2106090450097362,-0.20260631564168463,-0.1957634015673122,-0.18983568033098663,-0.1846355938983919,-0.18003452845370127,-0.1759282809566436,-0.172223191845724,-0.1688748909298745,-0.1639954300724149,-0.16301589414347362},
+{-1.2350912914743182,-0.6948913637526708,-0.4753486277448795,-0.3774413900937317,-0.32226639273093305,-0.2822144796393724,-0.2649175424575567,-0.246188552076255,-0.23170721810792827,-0.22011223281028514,-0.21057486075201126,-0.20257449663453464,-0.1957335488177563,-0.18980748875236486,-0.1846088265222381,-0.18000899506921897,-0.1759038282286074,-0.17219969625643472,-0.16885224687265854,-0.163973617380897,-0.16299518064416674},
+{-1.2349036759703673,-0.6946769475648447,-0.47521315072984915,-0.3773467908578745,-0.32219373608207125,-0.28215286300047016,-0.26486559242608276,-0.24614304241717733,-0.2316664825039716,-0.22007516336585553,-0.2105407026569761,-0.20254270235488647,-0.19570371959534505,-0.18977931970829864,-0.18458208080724425,-0.17998348258820052,-0.17587939574650768,-0.17217622032389102,-0.16882962194804385,-0.1639518318925255,-0.16297448094494804},
+{-1.234715586501678,-0.6944625741388961,-0.4750777494186229,-0.3772522514212362,-0.32212112780307933,-0.28209132129054026,-0.26481367891169505,-0.24609756577082464,-0.23162577704212062,-0.22003812187607963,-0.21050657072655454,-0.20251093280544374,-0.195673913904292,-0.18975117320388968,-0.18455535675876256,-0.1799579910161846,-0.17585498351650664,-0.17215276405476843,-0.1688070161628783,-0.16393007349969402,-0.16295379509974417},
+{-1.234527024341364,-0.6942482436805033,-0.47494242379649876,-0.37715777176138054,-0.3220485678774141,-0.28202985427632665,-0.2647618019102129,-0.24605212213240613,-0.2315851017198156,-0.2200011083413127,-0.21047246496128125,-0.20247918798928488,-0.19564413174805217,-0.1897230492441846,-0.18452865438136,-0.17993252035913088,-0.17583059154507552,-0.17212932745564302,-0.1687844295246297,-0.163908342096299,-0.16293312316313546},
+{-1.23433799075997,-0.6940339563944153,-0.474807173848955,-0.377063351855238,-0.32197605628823744,-0.2819684617249134,-0.26470996141662617,-0.24600671149670106,-0.23154445653492672,-0.21996412276210542,-0.21043838536284554,-0.20244746790906554,-0.1956143731310629,-0.1896949478337273,-0.1845019736804776,-0.1799070706232513,-0.17580621983822908,-0.17210591053278712,-0.16876186204023647,-0.16388663757806654,-0.16291246518829183},
+{-1.2341484870252764,-0.6938197124850038,-0.47467199956147876,-0.3769689916809975,-0.32190359301943783,-0.28190714340553047,-0.2646581574272311,-0.24596133385964425,-0.23150384148590142,-0.21992716513986288,-0.21040433193240737,-0.2024157725682798,-0.19558463805702075,-0.18966686897779184,-0.18447531466125966,-0.17988164181448596,-0.17578186840216148,-0.17208251329303437,-0.16873931371663353,-0.1638649598425026,-0.16289182122832813},
+{-1.2339585144025675,-0.6936055121554974,-0.4745369009196079,-0.3768746912160674,-0.3218311780545964,-0.28184589908794244,-0.2646063899378106,-0.24591598921669267,-0.23146325657085853,-0.21989023547543773,-0.21037030467188522,-0.2023841019698871,-0.195554926530761,-0.1896388126817108,-0.18444867732935144,-0.17985623393913563,-0.17575753724423926,-0.1720591357434884,-0.168716784561731,-0.16384330878921816,-0.16287119133621708},
+{-1.2337680741543768,-0.6933913556086821,-0.4744018779087291,-0.37678045043773345,-0.3217588113767862,-0.2817847285424566,-0.2645546589437684,-0.24587067756263536,-0.23142270178751723,-0.2198533337690769,-0.21033630358222055,-0.20235245611663544,-0.19552523855561077,-0.18961077894978473,-0.18442206168910502,-0.17983084700280116,-0.17573322637001354,-0.172035777890434,-0.16869427458222752,-0.16382168431800537,-0.16285057556370575},
+{-1.2335771675407274,-0.6931772430467831,-0.47426693051456326,-0.37668626932453186,-0.3216864929704535,-0.2817236315417393,-0.2645029644417285,-0.24582539889369137,-0.23138217713470688,-0.21981646002277522,-0.2103023286652057,-0.20232083501213793,-0.19549557413656338,-0.1895827677879094,-0.18439546774676074,-0.17980548101232152,-0.17570893578633928,-0.17201243974127856,-0.16867178378608827,-0.16380008633207765,-0.16282997396281118},
+{-1.2333857958188368,-0.6929631746709211,-0.47413205872235853,-0.3765921478535592,-0.32161422281935703,-0.2816626078582569,-0.26445130642741344,-0.24578015320597757,-0.23134168261066712,-0.21977961423774595,-0.2102683799225833,-0.20228923865930604,-0.19546593327797268,-0.18955477920079922,-0.18436889550760682,-0.1797801359740685,-0.17568466550008388,-0.17198912130247912,-0.16864931218073664,-0.1637785147355455,-0.16280938658524313},
+{-1.2331939602435118,-0.69274915068201,-0.47399726251796004,-0.3764980860038527,-0.3215420009077956,-0.2816016572668092,-0.26439968489789134,-0.24573494049488254,-0.23130121821424865,-0.21974279641532668,-0.21023445735660218,-0.2022576670622218,-0.19543631598453537,-0.1895268131943162,-0.18434234497743418,-0.1797548118944512,-0.1756604155178465,-0.17196582258143422,-0.16862685977418757,-0.1637569694345693,-0.1627888134816189},
+{-1.2330016620668367,-0.6925351712799301,-0.47386254188696775,-0.37640408375305867,-0.321469827219814,-0.28154077954232104,-0.26434809984915386,-0.24568976075675053,-0.23126078394417782,-0.21970600655678751,-0.21020056096861772,-0.2022261202235356,-0.1954067222609268,-0.18949886977349983,-0.18431581616185966,-0.17972950878019667,-0.1756361858460984,-0.17194254358576622,-0.1686044265734914,-0.16373545033656178,-0.16276825470258593},
+{-1.2328089025383542,-0.6923212366638705,-0.4737278968149248,-0.37631014107949223,-0.321397701739623,-0.28147997446149287,-0.2642965512781643,-0.24564461398772153,-0.2312203797995842,-0.21966924466429205,-0.21016669076124117,-0.20219459814760476,-0.19537715211197693,-0.1894709489439652,-0.1842893090666493,-0.1797042266379414,-0.17561197649244065,-0.17191928432176873,-0.16858201258750327,-0.1637139573513231,-0.16274771029879354},
+{-1.2326156829048736,-0.6921073470327208,-0.47359332728771797,-0.3762162579619117,-0.32132562445176127,-0.281419241802336,-0.2642450391817741,-0.24559950018417176,-0.23118000577917464,-0.21963251073937506,-0.2101328467362702,-0.2021631008375735,-0.1953476055425707,-0.18944305071143575,-0.18426282369749458,-0.1796789654742792,-0.17558778746330184,-0.17189604479796472,-0.168559617823826,-0.16369249038977252,-0.16272718031986244},
+{-1.2324220044108167,-0.6918935025842314,-0.47345883329061333,-0.37612243437818016,-0.3212535953410365,-0.28135858134255365,-0.26419356355660906,-0.24555441934244193,-0.2311396618818602,-0.21959580478386265,-0.21009902889587373,-0.20213162829712417,-0.19531808255772454,-0.189415175081054,-0.1842363600609911,-0.17965372529617163,-0.17556361876578386,-0.1718728250205661,-0.16853724229046385,-0.16367104936456478,-0.1627066648154365},
+{-1.2322278682978092,-0.6916797035155469,-0.4733244148095954,-0.37602867030723885,-0.3211816143917128,-0.28129799286267243,-0.2641421244000206,-0.2455093714590415,-0.23109934810733535,-0.2195591267994974,-0.21006523724275716,-0.20210018053002976,-0.19528858316245845,-0.1893873220588631,-0.18420991816252474,-0.1796285061105518,-0.1755394704069584,-0.17184962499777612,-0.16851488599564846,-0.1636496341904774,-0.16268616383454493},
+{-1.232033275805072,-0.6914659500234812,-0.4731900718304267,-0.37593496572791363,-0.3211096815888652,-0.28123747614346595,-0.264090721709076,-0.24546435653035736,-0.23105906445470126,-0.21952247678872894,-0.21003147177908055,-0.20206875754075426,-0.1952591073624177,-0.18935949165053856,-0.18418349800863787,-0.17960330792436707,-0.1755153423942204,-0.17182644473713715,-0.16849254894782817,-0.1636282447840749,-0.1626656774269204},
+{-1.2318382281691242,-0.6912522423037677,-0.47305580433886796,-0.37584132061910935,-0.3210377969171443,-0.28117703096704805,-0.26403935548137625,-0.24541937455338037,-0.23101881092340015,-0.21948585475367466,-0.2099977325075848,-0.20203735933243117,-0.19522965516241442,-0.1893316838617558,-0.18415709960541982,-0.17957813074468731,-0.17549123473460604,-0.17180328424613656,-0.16847023115543536,-0.16360688106288457,-0.1626452056410841},
+{-1.2316427266239987,-0.6910385805516928,-0.4729216123207438,-0.3757477349594982,-0.32096596036168634,-0.2811166571169199,-0.2639880257143705,-0.24537442552520972,-0.2309785875129755,-0.21944926069662252,-0.20996401943077103,-0.20200598590971275,-0.19520022656821823,-0.18930389869868414,-0.18413072295932942,-0.17955297457888264,-0.17546714743548186,-0.17178014353293314,-0.16844793262668212,-0.16358554294680516,-0.16262474852590003},
+{-1.2314467724010378,-0.6908249649617586,-0.4727874957617342,-0.3756542087280774,-0.32089417190753533,-0.28105635437672305,-0.2639367324052664,-0.2453295094423673,-0.23093839422307383,-0.21941269461968993,-0.2099303325508437,-0.20197463727605935,-0.19517082158508536,-0.18927613616679473,-0.18410436807646136,-0.17952783943377426,-0.17544308050433344,-0.1717570226047691,-0.1684256533703561,-0.1635642303569078,-0.16260430612959098},
+{-1.2312503667292387,-0.6906113957278768,-0.47265345464791153,-0.3755607419043612,-0.3208224315402095,-0.2809961225325326,-0.26388547555251307,-0.2452846263022881,-0.23089823105343044,-0.21937615652558407,-0.20989667187178185,-0.20194331343639504,-0.19514144021874458,-0.1892483962725695,-0.18407803496358177,-0.17950272531701117,-0.17541903394842429,-0.17173392146985833,-0.1684033933950655,-0.16354294321606666,-0.16258387850050582},
+{-1.231053510834879,-0.6903978730432918,-0.47251948896515295,-0.3754673344674657,-0.320750739244847,-0.2809359613711102,-0.26383425515375336,-0.24523977610199488,-0.23085809800407198,-0.21933964641691084,-0.2098630373957242,-0.20191201439448214,-0.19511208247532608,-0.189220679021739,-0.18405172362730227,-0.17947763223608248,-0.17539500777561123,-0.17171084013665983,-0.16838115270941323,-0.16352168144971735,-0.16256346568709823},
+{-1.23085620594169,-0.6901843971004844,-0.4723855986992671,-0.37537398639660857,-0.32067909500671465,-0.2808758706797496,-0.2637830712068876,-0.24519495883884979,-0.23081799507456502,-0.21930316429604702,-0.2098294291257794,-0.20188074015486634,-0.1950827483600328,-0.189192984420524,-0.18402543407413496,-0.17945256019821088,-0.1753710019932342,-0.17168777861281903,-0.1683589313226257,-0.1635004449830788,-0.16254306773675609},
+{-1.2306584532709244,-0.6899709680912789,-0.47225178383635047,-0.37528069767144423,-0.3206074988118175,-0.280815850247655,-0.26373192371021403,-0.24515017451019716,-0.23077792226546023,-0.21926671016600174,-0.20979584706515908,-0.20184949072221947,-0.19505343787935026,-0.18916531247542778,-0.18399916631096502,-0.1794275092110862,-0.1753470166094253,-0.17166473690688022,-0.16833672924309084,-0.16347923374404338,-0.16252268469764886},
+{-1.2304602540413483,-0.6897575862070546,-0.47211804436233873,-0.375187468271557,-0.3205359506454517,-0.28075589986434935,-0.2636808126620238,-0.24510542311367445,-0.23073787957662972,-0.21923028402955325,-0.20976229121704115,-0.20181826610028075,-0.19502415103884196,-0.1891376631921915,-0.18397292034448043,-0.17940247928212294,-0.17532305163156003,-0.171641715026837,-0.16831454648006172,-0.16345804766173444,-0.16250231661730474},
+{-1.2302616094690273,-0.6895442516382682,-0.4719843802633843,-0.3750942981765579,-0.3204644504940086,-0.28069601932161614,-0.2636297380610344,-0.24506070464687468,-0.23069786700840744,-0.21919388588966626,-0.2097287615850636,-0.20178706629452847,-0.19499488784498809,-0.1891100365777092,-0.1839466961819074,-0.17937747041951724,-0.1752991070679446,-0.17161871298096187,-0.16829238304250538,-0.16343688666701262,-0.16248196354211153},
+{-1.2300625207675941,-0.6893309645746575,-0.47185079152549925,-0.37500118736643717,-0.3203929983429221,-0.2806362084115843,-0.2635786999053593,-0.24501601910757564,-0.23065788456113623,-0.2191575157490444,-0.2096952581720064,-0.20175589130927385,-0.19496564830405383,-0.18908243263802582,-0.18392049383039222,-0.17935248263067294,-0.17527518292605038,-0.17159573077864287,-0.16827023893940307,-0.16341575069222358,-0.1624616255200131},
+{-1.2298629891482005,-0.6891177252057252,-0.47171727813474185,-0.37490813582105975,-0.3203215941782087,-0.28057646692756766,-0.2635276981939665,-0.24497136649379314,-0.23061793223549465,-0.21912117361101835,-0.2096617809821968,-0.2017247411494676,-0.19493643242198289,-0.18905485137966416,-0.18389431329676853,-0.1793275159236032,-0.1752512792143328,-0.17157276842766933,-0.16824811417996344,-0.16339463967051238,-0.1624413025969389},
+{-1.2296630158195092,-0.6889045337199393,-0.4715838400774679,-0.3748151435206202,-0.32025023798648533,-0.2805167946643792,-0.2634767329259997,-0.24492674680339377,-0.23057801003183975,-0.21908485947892586,-0.20962833001863324,-0.20169361581996625,-0.19490724020577055,-0.18902729280946673,-0.1838681545885219,-0.17930257030613284,-0.17522739594110703,-0.17154982593714863,-0.16822600877348037,-0.16337355353700467,-0.16242099481957517},
+{-1.2294626019874877,-0.6886913903051486,-0.47145047733961487,-0.3747222104447614,-0.3201789297537294,-0.28045719141734793,-0.2634258040997963,-0.24488216003475216,-0.2305381179508661,-0.21904857335557537,-0.20959490528511715,-0.2016625153253795,-0.19487807166165894,-0.18899975693393323,-0.1838420177128679,-0.17927764578651306,-0.1752035331141677,-0.17152690331572273,-0.16820392272905238,-0.1633524922276095,-0.16240070223378744},
+{-1.2292617488557993,-0.6884782951488111,-0.47131718990772864,-0.3746293365743867,-0.32010766946655966,-0.2803976569837072,-0.2633749117151094,-0.2448376061855182,-0.23049825599350982,-0.21901231524481268,-0.20956150678587449,-0.20163143967125485,-0.19484892679596832,-0.18897224375962018,-0.18381590267733294,-0.179252742372773,-0.17517969074213546,-0.171504000572396,-0.16818185605592895,-0.16333145568023255,-0.1623804248848142},
+{-1.2290604576255961,-0.6882652484373502,-0.4711839777677653,-0.374536521889393,-0.3200364571111356,-0.2803381911608174,-0.2633240557702834,-0.24479308525421217,-0.23045842416033402,-0.2189760851491993,-0.20952813452418084,-0.2016003888623139,-0.1948198056159498,-0.18894475329324933,-0.18378980948930845,-0.17922786007293645,-0.17515586883294887,-0.17148111771624386,-0.16815980876335068,-0.1633104438332751,-0.16236016281832377},
+{-1.2288587294953621,-0.6880522503568631,-0.47105084090628235,-0.37444376637060994,-0.31996529267455553,-0.2802787937487423,-0.2632732362657446,-0.24474859723978248,-0.2304186224527598,-0.21893988307303403,-0.20949478850466896,-0.20156936290430671,-0.19479070812815813,-0.18891728554199005,-0.18376373815683777,-0.17920299889545,-0.1751320673956993,-0.17145825475641097,-0.16813778086105557,-0.16328945662712435,-0.16233991607956},
+{-1.2286565656613102,-0.687839301092743,-0.470917779309727,-0.3743510699986956,-0.3198941761433156,-0.28021946454735236,-0.2632224532004255,-0.24470414214043323,-0.23037885087180854,-0.21890370901963685,-0.20946146873090044,-0.20153836180250018,-0.19476163433959748,-0.18888984051279856,-0.1837376886875557,-0.17917815884870514,-0.17510828643879428,-0.1714354117021557,-0.16811577235845832,-0.16326849400251398,-0.16231968471339897},
+{-1.2284539673169337,-0.687626400829588,-0.4707847929642792,-0.37425843275402215,-0.3198231075044413,-0.2801602033576547,-0.2631717065736794,-0.24465971995490676,-0.2303391094184022,-0.21886756299235977,-0.20942817520758084,-0.20150738556192138,-0.1947325842575225,-0.18886241821235927,-0.18371166108919468,-0.1791533399410561,-0.17508452597086688,-0.17141258856281638,-0.16809378326479063,-0.1632475559016644,-0.1622994687641377},
+{-1.228250935653492,-0.687413549751394,-0.47065188185659146,-0.3741658546177513,-0.3197520867451855,-0.28010100998276144,-0.263120996385684,-0.24461533068179442,-0.23029939809423539,-0.2188314449951143,-0.20939490793895388,-0.20147643418854244,-0.19470355788865845,-0.18883501864797125,-0.18368565536993486,-0.1791285421809885,-0.1750607860007367,-0.17138978534767624,-0.16807181359010492,-0.16322664226783878,-0.16227926827584227},
+{-1.2280474718597238,-0.6872007480417937,-0.4705190459730577,-0.37407333557072153,-0.3196811138521811,-0.28004188422584697,-0.26307032263594543,-0.2445709743201654,-0.2302597169005587,-0.21879535503134306,-0.20936166692909275,-0.20144550768747038,-0.19467455524052646,-0.1888076418270348,-0.18365967153768814,-0.17910376557694363,-0.17503706653682372,-0.17136700206657984,-0.1680498633430627,-0.1632057530453821,-0.16225908329270666},
+{-1.22784357712179,-0.6869879958833254,-0.4703862853002807,-0.3739808755938867,-0.31961018881267833,-0.2799828258920236,-0.2630196853244797,-0.24452665086909064,-0.23022006583862087,-0.21875929310519204,-0.20932845218309382,-0.2014146060648745,-0.19464557632022128,-0.18878028775639066,-0.18363370960077674,-0.17907901013763272,-0.17501336758867048,-0.17134423872910354,-0.1680279325343932,-0.16318488817959675,-0.16223891385868683},
+{-1.2276392526233955,-0.6867752934583606,-0.47025359982487736,-0.3738884746687896,-0.3195393116144851,-0.279923834787029,-0.26296908445167233,-0.24448236032783477,-0.2301804449104221,-0.21872325922046798,-0.2092952637049752,-0.2013837293266647,-0.19461662113547007,-0.1887529564436079,-0.1836077695674021,-0.17905427587188427,-0.17498968916487279,-0.17132149534502084,-0.16800602117343466,-0.16316404761675152,-0.1622187600168452},
+{-1.2274344995459407,-0.6865626409482175,-0.47012098953337844,-0.37379613277605106,-0.31946848224488544,-0.27986491071782105,-0.2629185200168962,-0.24443810269529465,-0.23014085411723073,-0.21868725338093853,-0.20926210149960944,-0.20135287747802977,-0.1945876896936518,-0.18872564789619517,-0.1835818514460037,-0.17902956278825677,-0.1749660312745771,-0.17129877192427578,-0.16798412926993933,-0.16314323130304942,-0.16219862181010392},
+{-1.2272293190682184,-0.6863500385337673,-0.46998845441255366,-0.37370384989755134,-0.3193977006915132,-0.2798060534930702,-0.26286799202120825,-0.2443938779708219,-0.2301012934613791,-0.21865127559066977,-0.20922896557242332,-0.20132205052551733,-0.194558782002213,-0.18869836212146396,-0.18355595524475454,-0.1790048708956995,-0.17494239392701338,-0.17127606847651933,-0.16796225683352972,-0.1631224391874877,-0.16217849928161066},
+{-1.227023712366723,-0.6861374863953769,-0.46985599444928106,-0.3736116260150002,-0.3193269669421168,-0.2797472629215356,-0.2628175004649922,-0.24434968615441832,-0.23006176294437708,-0.21861532585366028,-0.20919585592782752,-0.20129124847520607,-0.19452989806948295,-0.18867109912753932,-0.18353008097282952,-0.17898020020317063,-0.1749187771317562,-0.17125338501266363,-0.1679404038746135,-0.1631016712183424,-0.16215839247344555},
+{-1.2268176806153237,-0.6859249847126954,-0.46972360963029125,-0.373519461109705,-0.3192562809845265,-0.2796885388138506,-0.2627670453482214,-0.24430552724515664,-0.23002226256842562,-0.21857940417436872,-0.20916277257138027,-0.20126047133308234,-0.19450103790283002,-0.18864385892157998,-0.183504228638796,-0.17895555071960878,-0.1748951808975221,-0.1712307215420008,-0.1679185704029056,-0.1630809273450069,-0.16213830142800667},
+{-1.2266112249857222,-0.6857125336645176,-0.46959129994233084,-0.37342735516363845,-0.3191856428064934,-0.2796298809814868,-0.2627166266720202,-0.24426140124329443,-0.22998279233547692,-0.21854351055663201,-0.209129715507828,-0.2012297191057506,-0.1944722015101643,-0.18861664151179447,-0.18347839825118406,-0.17893092245416575,-0.17487160523462464,-0.1712080780755496,-0.16789675642855784,-0.16306020751765793,-0.1621182261864096},
+{-1.2264043466467913,-0.685500133429386,-0.4694590653723161,-0.3733353081582118,-0.31911505239645166,-0.27957128923701013,-0.2626662444367316,-0.2442173081481318,-0.22994335224774431,-0.21850764500474718,-0.2090966847425424,-0.20119899179907108,-0.1944433888998276,-0.18858944690573942,-0.18345258981903356,-0.17890631541592406,-0.17484805015177685,-0.17118545462335177,-0.16787496196172036,-0.16303951168726982,-0.16209816678992262},
+{-1.2261970467655217,-0.6852877841850775,-0.4693269059073586,-0.3732433200757823,-0.3190445097426746,-0.27951276339429576,-0.26261589864366464,-0.24417324795989082,-0.22990394230778222,-0.21847180752303075,-0.20906368028137834,-0.2011682894200053,-0.1944146000796696,-0.18856227511170864,-0.1834268033512796,-0.17888172961390225,-0.17482451565914836,-0.17116285119568886,-0.16785318701225016,-0.1630188398050194,-0.1620781232792723},
+{-1.22598932650603,-0.6850754861086292,-0.4691948215343835,-0.3731513908987596,-0.31897401483339394,-0.2794543032685599,-0.2625655892933949,-0.2441292206787793,-0.2298645625178466,-0.21843599811598402,-0.20903070212952812,-0.20113761197493574,-0.1943858350583465,-0.18853512613764778,-0.1834010388572267,-0.17885716505785965,-0.17480100176644875,-0.17114026780352276,-0.16783143159057623,-0.16299819182399844,-0.16205809569418328},
+{-1.2257811870302433,-0.6848632393766119,-0.46906281224046165,-0.37305952060861625,-0.31890356765683947,-0.2793959086753297,-0.26251531638730796,-0.24408522630493046,-0.22982521288018276,-0.21840021678809585,-0.208997750292788,-0.20110695947025903,-0.1943570938436796,-0.18850799999154333,-0.18337529634595917,-0.17883262175699421,-0.17477750848324192,-0.17111770445747077,-0.1678096957073194,-0.16297756769596994,-0.16203808407476217},
+{-1.2255726294975062,-0.6846510441648066,-0.468930878012606,-0.372967709188309,-0.3188331682019321,-0.27933757943239357,-0.26246507992633283,-0.24404126483885769,-0.22978589339787625,-0.21836446354348205,-0.20896482477726686,-0.2010763319134128,-0.19432837644466794,-0.18848089668244405,-0.1833495758269219,-0.17880809972065315,-0.17475403581977567,-0.1710951611684095,-0.1677879793723296,-0.1629569673749902,-0.16201808846037835},
+{-1.2253636550650766,-0.6844389006486793,-0.46879901883807396,-0.37287595661989403,-0.31876281645715565,-0.2792793153566233,-0.2624148799117503,-0.24399733628068354,-0.22974660407312264,-0.2183287383870578,-0.20893192558823515,-0.2010457293103265,-0.19429968286925714,-0.1884538162177698,-0.18332387730891142,-0.17878359895824936,-0.1747305837859372,-0.1710726379466685,-0.1677662825966877,-0.16293639081459688,-0.16199810888922705},
+{-1.2251542648875158,-0.6842268090028503,-0.46866723470422045,-0.3727842628862241,-0.3186925124117703,-0.2792211162689071,-0.2623647163452265,-0.24395344063145608,-0.2297073449091478,-0.21829304132356597,-0.20889905273261355,-0.20101515166904527,-0.19427101312658124,-0.1884267586067736,-0.18329820080203696,-0.1787591194799827,-0.1747071523919299,-0.17105013480324693,-0.16774460539037506,-0.16291583796921216,-0.16197814539943067},
+{-1.2249444601170998,-0.684014769401422,-0.46853552559818823,-0.3726926279700704,-0.31862225605438965,-0.27916298198894296,-0.26231458922796236,-0.24390957789165668,-0.22966811590872283,-0.21825737235680087,-0.20886620621584662,-0.20098459899602084,-0.19424236722519161,-0.1883997238575077,-0.18327254631585355,-0.17873466129517723,-0.17468374164783462,-0.17102765174955792,-0.16772294776409247,-0.16289530879445913,-0.16195819802939226},
+{-1.224734241903778,-0.6838027820177199,-0.46840389150753037,-0.37260105185383985,-0.3185520473739114,-0.279104912338207,-0.2622644985618461,-0.2438657480623263,-0.22962891707489064,-0.21822173149229762,-0.2088333860446916,-0.20095407129849718,-0.1942137451738386,-0.18837271197856076,-0.18324691385974567,-0.1787102244134644,-0.17466035156425264,-0.17100518879599136,-0.16770130972871122,-0.16287480324516324,-0.16193826681574386},
+{-1.224523611394965,-0.6835908470247256,-0.46827233241934074,-0.37250953452075564,-0.31848188636007,-0.27904690713979363,-0.2622144443485741,-0.2438219511446853,-0.22958974841083624,-0.2181861187347831,-0.2088005922253231,-0.20092356858391014,-0.19418514698127787,-0.18834572297938834,-0.18322130344377463,-0.17868580884490548,-0.1746369821516467,-0.1709827459540918,-0.16767969129494809,-0.16285432127797428,-0.16191835179605896},
+{-1.2243125697359845,-0.6833789645947013,-0.4681408483212799,-0.37241807595366794,-0.31841177300208834,-0.2789889662169234,-0.262164426589683,-0.2437781871396023,-0.22955060991960963,-0.2181505340889398,-0.2087678247645144,-0.20089309085956053,-0.19415657265663455,-0.18831875686811195,-0.1831957150773409,-0.17866141459991702,-0.17461363342047065,-0.17096032323442856,-0.16765809247368502,-0.16283386284894874,-0.16189845300632477},
+{-1.2241011180694485,-0.6831671348993851,-0.4680094392009355,-0.3723266761361188,-0.31834170728937927,-0.2789310893950425,-0.2621144452874784,-0.243734456048756,-0.22951150160495537,-0.21811497755991915,-0.20873508366917903,-0.20086263813323768,-0.1941280222086288,-0.1882918136539331,-0.18317014877092141,-0.17863704168792616,-0.17459030538139686,-0.17093792064846625,-0.1676365132757276,-0.16281342791547182,-0.16187857048310406},
+{-1.2238892575358653,-0.6829553581096253,-0.4678781050457328,-0.37223533505122486,-0.31827168921138593,-0.27887327649943217,-0.2620645004435982,-0.2436907578732317,-0.22947242346983643,-0.21807944915174815,-0.20870236894574923,-0.20083221041217847,-0.19409949564680673,-0.1882648933461315,-0.18314460453410142,-0.17861269011950576,-0.17456699804518472,-0.17091553820783822,-0.16761495371209634,-0.16279301643526445,-0.16185870426186888},
+{-1.22367698927322,-0.6827436343960231,-0.46774684584347614,-0.3721440526819615,-0.31820171875788716,-0.27881552735769155,-0.2620145920604475,-0.24364709261496387,-0.22943337551823895,-0.21804394887018574,-0.20866968060147606,-0.20080180770437117,-0.19407099297976949,-0.18823799595337043,-0.18311908237726193,-0.17858835990458566,-0.17454371142290093,-0.1708931759228598,-0.16759341379389703,-0.16277262836603335,-0.16183885437889955},
+{-1.2234643144174027,-0.6825319639285299,-0.46761566158188916,-0.3720528290127154,-0.3181317959188785,-0.278757841797896,-0.26196472014034633,-0.24360346027575552,-0.22939435775397143,-0.2180084767206356,-0.2086370186429818,-0.2007714300178307,-0.19404251421753038,-0.18821112148536834,-0.1830935823108426,-0.17856405105375472,-0.1745204455256033,-0.17087083380564927,-0.16757189353280566,-0.16275226366676598,-0.16181902086924893},
+{-1.2232512341014719,-0.6823203468762644,-0.4674845522485045,-0.3719616640263679,-0.3180619206841513,-0.278700219648643,-0.2619148846852273,-0.24355986085751624,-0.22935537018044272,-0.2179730327074072,-0.2086043830780273,-0.2007410773601208,-0.19401405936895522,-0.18818426995118465,-0.18306810434431142,-0.17853976357733536,-0.17449720036413474,-0.17084851186734085,-0.1675503929394644,-0.16273192229633082,-0.16179920376838908},
+{-1.223037749456663,-0.6821087834079504,-0.4673535178314854,-0.3718705577070738,-0.3179920930441238,-0.27864266074111477,-0.2618650856981599,-0.2435162943621645,-0.22931641280177395,-0.21793761683631274,-0.2085717739136843,-0.20071074973957614,-0.1939856284430057,-0.18815744136026424,-0.18304264848905838,-0.17851549748574946,-0.17447397595000602,-0.17082621011902432,-0.16752891202552966,-0.1627116042144614,-0.16177940311152028},
+{-1.2228238616116394,-0.6818972736918951,-0.4672225583185936,-0.37177951003871446,-0.31792231298862283,-0.27858516490598895,-0.261815323180981,-0.243472760792093,-0.22927748562210226,-0.21790222911218038,-0.20853919115732467,-0.200680447164304,-0.19395722144993854,-0.18813063572237176,-0.18301721475482502,-0.1784912527899607,-0.174450772294227,-0.17080392857272564,-0.1675074508022263,-0.16269130938109377,-0.16175961893320512},
+{-1.222609571692744,-0.6816858178953291,-0.4670916736978219,-0.37168852100521654,-0.31785258050827814,-0.27852773197616365,-0.26176559713682757,-0.24342926014996635,-0.2292385886454813,-0.21786686954049905,-0.2085066348167821,-0.20065016964283444,-0.19392883839880604,-0.18810385304676025,-0.18299180315274732,-0.17846702950032167,-0.17442758940892844,-0.17078166724023625,-0.16748600928172408,-0.16267103775726355,-0.16173985126965107},
+{-1.2223948808238645,-0.6814744161854138,-0.4669608639573193,-0.3715975905911604,-0.3177828955936004,-0.27847036178484963,-0.2617159075685844,-0.24338579243820746,-0.2291997218765065,-0.21783153812661205,-0.20847410489968254,-0.20061991718387695,-0.19390047929955756,-0.18807709334307887,-0.18296641369302513,-0.17844282762785646,-0.174404427305193,-0.1707594261324168,-0.16746458747514126,-0.16265078930430654,-0.1617201001545716},
+{-1.222179790126924,-0.6812630687284562,-0.46683012908511046,-0.37150671878003294,-0.31771325823491736,-0.27841305416660767,-0.2616662544785022,-0.24334235765955725,-0.22916088531905565,-0.21779623487587507,-0.20844160141354706,-0.20058968979520841,-0.19387214416167353,-0.18805035662168734,-0.18294104638656172,-0.17841864718340794,-0.1743812859950271,-0.17073720526146374,-0.16744318539488212,-0.16263056398336673,-0.16170036562376744},
+{-1.2219643007210759,-0.6810517756902126,-0.46669946906918636,-0.3714159055567485,-0.31764366842329395,-0.2783558089578868,-0.2616166378699418,-0.24329895581700178,-0.229122078978369,-0.21776095979368648,-0.2084091243670656,-0.20055948748598063,-0.19384383299453667,-0.18802364289183515,-0.18291570124423018,-0.17839448817769465,-0.1743581654900641,-0.1707150046385859,-0.16742180305207377,-0.1626103617570216,-0.16168064771212443},
+{-1.2217484137236148,-0.680840537235901,-0.4665688838981117,-0.3713251509059088,-0.317574126149637,-0.27829862599429056,-0.2615670577459479,-0.24325558691380067,-0.22908330285852863,-0.21772571288616227,-0.20837667376759939,-0.20052931026534182,-0.1938155458087678,-0.18799695216416623,-0.18289037827698174,-0.17837035062238193,-0.1743350658023246,-0.17069282427671517,-0.16740044045914892,-0.16259018258852542,-0.16166094645478246},
+{-1.221532130249125,-0.6806293535301995,-0.46643837355994666,-0.37123445481193507,-0.31750463140439855,-0.2782415051143623,-0.2615175141095989,-0.24321225095268595,-0.2290445569644799,-0.2176904941582567,-0.20834424962388987,-0.20049915814174923,-0.19378728261381362,-0.18797028444848252,-0.1828650774958973,-0.17834623452797516,-0.17431198694389138,-0.17067066418629473,-0.16737909762800385,-0.16257002644034024,-0.16164126188697026},
+{-1.2213154514102635,-0.680418224737168,-0.4663079380433075,-0.37114381725950274,-0.31743518417904326,-0.27818444615674665,-0.2614680069642663,-0.2431689479379724,-0.2290058413013334,-0.21765530361600405,-0.20831185194383828,-0.20046903112429604,-0.1937590434195382,-0.18794363975520412,-0.1828397989116315,-0.17832213990612544,-0.17428892892714387,-0.17064852438076628,-0.1673577745707231,-0.16254989327797453,-0.1616215940442025},
+{-1.2210983783170333,-0.680207151020273,-0.466177577336337,-0.371053238233781,-0.3173657844650517,-0.2781274489609942,-0.26141853631285983,-0.24312567787235295,-0.22896715587339145,-0.21762014126501583,-0.20827948073603686,-0.2004389292221127,-0.19373082823615562,-0.1879170180941827,-0.18281454253584073,-0.17829806676818372,-0.17426589176423235,-0.17062640487090874,-0.1673364713001959,-0.16252978306476784,-0.1616019429614326},
+{-1.2208809120774546,-0.6799961325424642,-0.46604729142786727,-0.370962717719614,-0.31729643225342485,-0.27807051336890076,-0.2613691021592732,-0.2430824407601868,-0.22892850068665638,-0.2175850071112091,-0.20824713600906364,-0.20040885244486262,-0.1937026370736401,-0.1878904194762736,-0.1827893083795864,-0.17827401512536944,-0.1742428754675398,-0.17060430566917262,-0.1673151878280077,-0.16250969576623575,-0.1615823086743049},
+{-1.2206630537970682,-0.6797851694662196,-0.4659170803063768,-0.37087225570254034,-0.31722712753593996,-0.27801363922188926,-0.26131970450703257,-0.243039236605183,-0.2288898757458817,-0.2175499011606412,-0.2082148177716192,-0.20037880080181658,-0.1936744699425521,-0.18786384391218647,-0.18276409645434377,-0.17824998498955935,-0.17421988004968014,-0.17058222678802437,-0.167293924166934,-0.16248963134883532,-0.16156269121891143},
+{-1.2204448045792553,-0.6795742619530962,-0.465786943960536,-0.37078185216735804,-0.317157870303852,-0.2779568263630807,-0.26127034335938504,-0.24299606541186058,-0.22885128105614427,-0.2175148234188935,-0.20818252603229048,-0.20034877430217612,-0.1936463268526154,-0.1878372914121993,-0.18273890677127014,-0.17822597637231574,-0.17419690552341827,-0.17056016823937803,-0.1672726803297664,-0.162469589778226,-0.161543090630488},
+{-1.2202261655249105,-0.6793634101646546,-0.46565688237896374,-0.3706915070997088,-0.31708866054919405,-0.2779000746366318,-0.26122101872036296,-0.24295292718432115,-0.2288127166236471,-0.21747977389235373,-0.2081502608000445,-0.20031877295630984,-0.19361820781463912,-0.18781076198734326,-0.18271373934189405,-0.17820198928537678,-0.1741739519013592,-0.1705381300356521,-0.16725145632920224,-0.16244957102243873,-0.16152350694505557},
+{-1.2200071377330444,-0.6791526142613238,-0.4655268955505347,-0.3706012204850335,-0.31701949826381437,-0.2778433838873333,-0.26117173059349774,-0.2429098219269985,-0.2287741824531313,-0.21744475258724805,-0.20811802208395136,-0.20028879677326472,-0.19359011283875383,-0.1877842556484559,-0.18268859417801764,-0.17817802374047353,-0.1741510191964828,-0.17051611218906082,-0.1672302521781166,-0.16242957504880096,-0.16150394019841485},
+{-1.219787722299917,-0.6789418744034217,-0.46539698346427905,-0.37051099230909124,-0.3169503834399148,-0.27778675396226227,-0.261122478983145,-0.24286674964457688,-0.2287356785506489,-0.21740975950965158,-0.2080858098931948,-0.20025884576341646,-0.19356204193557147,-0.1877577724061652,-0.18266347129117655,-0.17815407974970832,-0.17412810742154505,-0.17049411471208664,-0.16720906788932055,-0.16240960182598485,-0.1614843904266916},
+{-1.2195679203199896,-0.6787311907504732,-0.4652671461088609,-0.3704208225576515,-0.31688131606914993,-0.27773018470789346,-0.26107326389283614,-0.24282371034171213,-0.22869720492192336,-0.2173747946656608,-0.20805362423661222,-0.2002289199368601,-0.19353399511579816,-0.18773131227231232,-0.18263837069306277,-0.17813015732509285,-0.17410521658939615,-0.17047213761749802,-0.16718790347589518,-0.16238965132356675,-0.16146485766637397},
+{-1.2193477328852174,-0.6785205634616336,-0.4651373834735759,-0.3703307112165355,-0.3168122961441533,-0.277673675972526,-0.2610240853268042,-0.2427807040237706,-0.22865876157288412,-0.21733985806196898,-0.20802146512386166,-0.20019901930310624,-0.1935059723895236,-0.18770487525756252,-0.1826132923955459,-0.17810625647850387,-0.17408234671334277,-0.1704501809174701,-0.16716675895106548,-0.16236972351128642,-0.16144534195347404},
+{-1.2191271610853125,-0.6783099926950653,-0.4650076955474587,-0.37024065827209895,-0.3167433236571906,-0.2776172276056137,-0.26097494328939597,-0.2427377306957723,-0.22862034850950508,-0.21730494970493552,-0.20798933256381424,-0.2001691438731541,-0.19347797376827813,-0.18767846137357758,-0.18258823641073008,-0.17808237722279152,-0.17405949780659746,-0.17042824462521722,-0.1671456343282749,-0.1623498183605765,-0.16142584332443555},
+{-1.2189062060077722,-0.6780994786091039,-0.4648780823194638,-0.37015066371004046,-0.31667439860089885,-0.277560839457184,-0.26092583778430267,-0.24269479036308717,-0.22858196573766598,-0.21727006960154682,-0.20795722656640692,-0.20013929365714844,-0.19344999926213724,-0.1876520706316871,-0.1825632027501758,-0.17805851956991603,-0.17403666988246513,-0.17040632875305306,-0.1671245296215158,-0.16232993584252675,-0.1614063618156738},
+{-1.2186848687379506,-0.6778890213610813,-0.4647485437791783,-0.37006072751727537,-0.31660552096802874,-0.2775045113790302,-0.2608767688165923,-0.24265188303102647,-0.22854361326391448,-0.21723521775802013,-0.20792514714121246,-0.20010946866567636,-0.1934220488820788,-0.18762570304328818,-0.18253819142609373,-0.17803468353226393,-0.17401386295398424,-0.1703844333137745,-0.1671034448432156,-0.1623100759301881,-0.1613868974634176},
+{-1.2184631503588292,-0.677678621107642,-0.4646190799157104,-0.3699708496798131,-0.3165366907509437,-0.2774482432231462,-0.26082773639012835,-0.24260900870555702,-0.2285052910943559,-0.2172003941810594,-0.2078930942976669,-0.20007966890925744,-0.1933941226390008,-0.18759935862054178,-0.18251320245082248,-0.1780108691229394,-0.17399107703431582,-0.17036255832099023,-0.16708238000775744,-0.162290238596416,-0.16136745030485677},
+{-1.2182410519511668,-0.6774682780053247,-0.46448969071856094,-0.36988103018413376,-0.31646790794287405,-0.2773920348428014,-0.2607787405094939,-0.242566167392388,-0.22846699923518976,-0.21716559887792997,-0.20786106804576399,-0.2000498943987612,-0.19336622054419728,-0.18757303737507947,-0.18248823583662954,-0.1779870763538689,-0.17396831213756592,-0.17034070378710275,-0.16706133512894183,-0.16227042381554746,-0.16134802037578666},
+{-1.2180185745937813,-0.6772579922100039,-0.46436037617719084,-0.369791269017389,-0.31639917253673566,-0.2773358860922457,-0.2607297811794762,-0.24252335909752354,-0.22842873769369199,-0.21713083185538373,-0.2078290683946893,-0.2000201451452579,-0.19333834260863547,-0.18754673931877086,-0.18246329159531705,-0.1779633052388263,-0.1739455682765776,-0.17031886972555377,-0.16704031022088905,-0.1622506315625749,-0.16132860771328872},
+{-1.2177957193627442,-0.6770477638766392,-0.46423113628099966,-0.3697015661657961,-0.3163304845257944,-0.27727979682710036,-0.26068085840438293,-0.24248058382718973,-0.2283905064757441,-0.21709609312087963,-0.20779709535521818,-0.19999042115958865,-0.19331048884351176,-0.18752046446377513,-0.18243836973985061,-0.17793955579007736,-0.1739228454650501,-0.17029705614979562,-0.16701930529753994,-0.1622308618129562,-0.16130921235344786},
+{-1.21757248733239,-0.6768375931602222,-0.464101971019824,-0.36961192161701995,-0.3162618439036571,-0.27722376690396366,-0.2606319721892607,-0.24243784158773707,-0.2283523055886345,-0.21706138268101682,-0.2077651489371135,-0.19996072245314522,-0.19328265925959442,-0.1874942128221555,-0.18241347028242139,-0.17791582802062855,-0.1739001437169616,-0.1702752630722717,-0.1669983203728993,-0.1622111145435703,-0.16128983433323896},
+{-1.2173488795746321,-0.6766274802149788,-0.4639728803833636,-0.36952233535784273,-0.31619325066303894,-0.27716779617932197,-0.2605831225386108,-0.24239513238549115,-0.22831413503866393,-0.21702670054348516,-0.20773322915003511,-0.19993104903674208,-0.19325485386874774,-0.18746798440653478,-0.18238859323589018,-0.17789212194414183,-0.1738774630451303,-0.17025349050768313,-0.16697735546157588,-0.16219138973138314,-0.16127047368836855},
+{-1.2171248971591888,-0.6764174251944004,-0.4638438643612943,-0.3694328073751336,-0.31612470479786303,-0.27711188451210944,-0.26053430945749234,-0.24235245622731938,-0.2282759948331119,-0.21699204671577021,-0.20770133600493068,-0.1999014009220339,-0.19322707268215567,-0.1874417792289016,-0.18236373861265065,-0.17786843757346738,-0.17385480346417737,-0.17023173846886053,-0.1669564105779866,-0.16217168735430576,-0.1612511304560602},
+{-1.2169005411536071,-0.6762074282519466,-0.46371492294343675,-0.36934333765695015,-0.3160562063019974,-0.27705603176167237,-0.26048553295097854,-0.24230981312013355,-0.22823788497945863,-0.21695742120540729,-0.2076694695113943,-0.19987177812098267,-0.19319931571166293,-0.18741559730205637,-0.1823389064253398,-0.17784477492241102,-0.17383216498723364,-0.17021000696932198,-0.1669354857367331,-0.16215200739117286,-0.16123180467148046},
+{-1.2166758126233272,-0.6759974895399523,-0.463586056119933,-0.36925392619020947,-0.31598775516918565,-0.2770002377879077,-0.2604367930238016,-0.24226720307044758,-0.22819980548423935,-0.21692282402010044,-0.20763762967998112,-0.19984218064461423,-0.19317158296833448,-0.1873894386387427,-0.18231409668711507,-0.1778211340042617,-0.1738095476285455,-0.17018829602329433,-0.16691458095261602,-0.1621323498208067,-0.161212496371137},
+{-1.2164507126313566,-0.6757876092106798,-0.46345726388060005,-0.369164572962541,-0.31591935139336336,-0.2769445024528192,-0.2603880896813564,-0.2422246260856138,-0.22816175635495384,-0.21688825516747023,-0.2076058165213901,-0.19981260850467564,-0.1931438744634928,-0.1873633032513009,-0.18228930941046428,-0.17779751483252682,-0.17378695140168077,-0.17016660564418018,-0.16689369623973604,-0.16211271462285914,-0.16119320559053207},
+{-1.2162252422388757,-0.6755777874157998,-0.4633285462156973,-0.36907527796219775,-0.315850994968466,-0.27688882561802153,-0.26033942292860246,-0.24218208217313908,-0.22812373759919602,-0.21685371465600767,-0.20757403004573938,-0.19978306171374527,-0.19311619021014081,-0.18733719115314784,-0.18226454460891617,-0.17777391742136217,-0.1737643763210226,-0.1701449358464444,-0.16687283161406619,-0.16209310177828762,-0.1611739323660295},
+{-1.2159994025045044,-0.6753680243063016,-0.4631999031153855,-0.3689860411766368,-0.31578268588888747,-0.2768332071470567,-0.2602907927709328,-0.242139571340104,-0.22808574922417435,-0.21681920249301,-0.20754227026423422,-0.19975354028324688,-0.1930885302192138,-0.1873111023570626,-0.18223980229557846,-0.17775034178450255,-0.17374182239998248,-0.1701232866437543,-0.16685198708969828,-0.16207351126672798,-0.16115467673215633},
+{-1.2157731944849992,-0.6751583200328195,-0.4630713345697419,-0.368896862593898,-0.3157144241487977,-0.2767776469041259,-0.26024219921375646,-0.24209709359420906,-0.22804779123813468,-0.2167847186873928,-0.20751053718701762,-0.19972404422559542,-0.19306089450311603,-0.18728503687593445,-0.18221508248350027,-0.1777267879360167,-0.17371928965320294,-0.1701016580505783,-0.16683116268223408,-0.1620539430704806,-0.16113543872468838},
+{-1.2155466192347282,-0.6749486747454396,-0.46294284056926127,-0.3688077422020868,-0.31564620974291024,-0.27672214475430756,-0.2601936422622426,-0.2420546489431512,-0.2280098636481167,-0.21675026324719582,-0.2074788308250124,-0.19969457355285236,-0.193033283073353,-0.18725899472319618,-0.1821903851861606,-0.17770325589022917,-0.17369677809437434,-0.17008005008108462,-0.16681035840706038,-0.16203439716958634,-0.16111621837829837},
+{-1.2153196778060957,-0.6747390885937694,-0.462814421104472,-0.3687186799896782,-0.31557804266583034,-0.27666670056418674,-0.2601451219218376,-0.24201223739481215,-0.22797196646237516,-0.2167158361808017,-0.20744715118940604,-0.19966512827764582,-0.19300569594247818,-0.18723297591217936,-0.18216571041625862,-0.1776797456612229,-0.17367428773819782,-0.17005846274956582,-0.1667895742788872,-0.1620148735462088,-0.1610970157276732},
+{-1.2150923712492165,-0.6745295617269003,-0.462686076165836,-0.3686296759451544,-0.3155099229120175,-0.2766113142004816,-0.2600966381987888,-0.2419698589570185,-0.22793409968909017,-0.21668143749710822,-0.20741549829087802,-0.19963570841223444,-0.19297813312287815,-0.18720698045637896,-0.18214105818859316,-0.17765625726375944,-0.17365181859856982,-0.17003689607091665,-0.1667688103132452,-0.16199537218270876,-0.1610778308075762},
+{-1.214864700611944,-0.6743200942933907,-0.4625578057437014,-0.3685407300566954,-0.31544185047655837,-0.2765559855313402,-0.26004819109808963,-0.24192751363800546,-0.22789626333551638,-0.21664706720487814,-0.20738387214051102,-0.19960631396903494,-0.19295059462651132,-0.18718100836891338,-0.18211642851591314,-0.17763279071221127,-0.17362937069023765,-0.17001535005956647,-0.16674806652576812,-0.16197589306038118,-0.16105866365122345},
+{-1.214636666940284,-0.674110686441149,-0.46242960982887205,-0.36845184231309247,-0.31537382535450575,-0.27650071442599256,-0.25999978062565354,-0.2418852014461237,-0.22785845741088906,-0.21661272531278364,-0.20735227274955292,-0.19957694496138423,-0.1929230804662616,-0.18715505966406454,-0.18209182141198355,-0.17760934602134704,-0.17360694402716348,-0.16999382473025193,-0.16672734293204705,-0.1619564361623258,-0.16103951429362695},
+{-1.2144082712778657,-0.6739013383179921,-0.4623014884121144,-0.36836301270328065,-0.3153058475410404,-0.27644550075415175,-0.2599514067871649,-0.24184292238939342,-0.227820681922843,-0.21657841183007065,-0.20732070012913084,-0.199547601401445,-0.19289559065435924,-0.18712913435538248,-0.18206723689106674,-0.17758592320623912,-0.17358453862419587,-0.16997232009816976,-0.166706639547769,-0.16193700147025503,-0.1610203827678749},
+{-1.2141795146662888,-0.6736920500709482,-0.46217344148427664,-0.36827424121614705,-0.31523791703146387,-0.27639034438763765,-0.2599030695887752,-0.24180067647692205,-0.22778293688017648,-0.21654412676608636,-0.20728915429085326,-0.199518283302913,-0.19286812520346075,-0.1871032324562485,-0.18204267496640014,-0.17756252228135416,-0.17356215449560963,-0.16995083617815254,-0.166685956388001,-0.16191758896645503,-0.16100126910701285},
+{-1.2139503981448385,-0.6734828218465916,-0.46204546903633315,-0.3681855278406463,-0.3151700338211114,-0.2763352451973624,-0.25985476903639615,-0.24175846371683107,-0.22774522229143024,-0.21650987012952783,-0.20725763524565366,-0.1994889906784092,-0.19284068412660105,-0.18707735398118075,-0.18201813565281277,-0.1775391432625053,-0.17353979165608102,-0.1699293729856617,-0.16666529346905357,-0.16189819863397759,-0.16098217334448606},
+{-1.2137209227509524,-0.6732736537911084,-0.4619175710591463,-0.36809687256609536,-0.31510219790528815,-0.27628020305664514,-0.2598065051360461,-0.2417162841180609,-0.2277075381647986,-0.21647564193067836,-0.20722614300526132,-0.19945972354102537,-0.19281326743643667,-0.1870514989438874,-0.1819936189637783,-0.17751578616404906,-0.17351745012065933,-0.1699079305356168,-0.1666446508065107,-0.1618788304551586,-0.16096309551309673},
+{-1.2134910895198026,-0.6730645460499556,-0.4617897475439836,-0.3680082753818912,-0.31503440928012516,-0.2762252178393023,-0.25975827789418915,-0.24167413768963897,-0.2276698845096785,-0.2164414421788834,-0.20719467758152454,-0.1994304819043471,-0.19278587514627787,-0.18702566735877468,-0.18196912491389305,-0.17749245100235278,-0.17349512990371885,-0.16988650884391632,-0.16662402841631696,-0.16185948441293796,-0.16094403564556714},
+{-1.2132608994843643,-0.6728554987683957,-0.46166199848170564,-0.3679197362770701,-0.3149666679413965,-0.27617028941995336,-0.2597100873165914,-0.2416320244404826,-0.2276322613346462,-0.2164072708838276,-0.20716323898569655,-0.19940126578187645,-0.19275850726901034,-0.18699985924020623,-0.1819446535174425,-0.17746913779260787,-0.17347283102039057,-0.16986510792595944,-0.16660342631493208,-0.16184016048943128,-0.1609249937737438},
+{-1.2130303536756273,-0.6726465120912382,-0.46153432386407367,-0.3678312552418159,-0.3148989738849348,-0.2761154176749283,-0.25966193340986976,-0.24158994437986436,-0.22759466864868472,-0.21637312805522413,-0.2071318272298157,-0.19937207518701605,-0.19273116381750732,-0.18697407460178006,-0.18192020478864812,-0.1774458465498725,-0.17345055348569716,-0.16984372779745982,-0.16658284451725258,-0.1618208586678982,-0.16090596992996886},
+{-1.212799453122348,-0.6724375861624523,-0.4614067236818862,-0.3677428322659484,-0.3148313271068801,-0.27606060248018593,-0.25961381618072465,-0.24154789751692363,-0.2275571064612656,-0.21633901370370978,-0.20710044232588487,-0.19934291013372807,-0.19270384480573277,-0.18694831345934304,-0.18189577874258056,-0.17742257729044297,-0.173428297314544,-0.169822368474577,-0.16656228304016807,-0.16180157893105473,-0.16088696414625758},
+{-1.2125681988513302,-0.672228721125629,-0.4612791979268316,-0.3676544673383635,-0.3147637276033315,-0.2760058437133903,-0.2595657356350589,-0.24150588386095073,-0.22751957478103613,-0.2163049278386726,-0.20706908428566173,-0.1993137706353263,-0.1926765502463681,-0.18692257582632088,-0.18187137539316822,-0.17739933002977715,-0.17340606252180457,-0.16980102997279722,-0.1665417418994295,-0.161782321261855,-0.16086797645373707},
+{-1.2123365918872002,-0.6720199171243877,-0.4611517465904367,-0.36756616044996626,-0.31469617537065453,-0.2759511412532447,-0.2595176917798945,-0.2414639034213657,-0.22748207361812867,-0.216270870471039,-0.20703775312093242,-0.1992846567062827,-0.19264928015367744,-0.1868968617177753,-0.18184699475567,-0.17737610478381605,-0.17338384912326177,-0.16977971230865663,-0.1665212211111502,-0.1617630856428871,-0.16084900688429649},
+{-1.2121046332523573,-0.6718111743011468,-0.46102436966405946,-0.367477911590429,-0.31462867040563225,-0.2758964949789,-0.2594696846217168,-0.24142195620830265,-0.2274446029816506,-0.21623684161118106,-0.20700644884439257,-0.19925556836046887,-0.192622034540884,-0.18687117114857088,-0.18182263684469646,-0.1773529015687636,-0.1733616571341674,-0.1697584154986611,-0.16650072069201372,-0.161743872057734,-0.1608300554687414},
+{-1.211872323967425,-0.6716024927985051,-0.4608970671397028,-0.3673897207502197,-0.31456121270489135,-0.27584190477151793,-0.25942171416750526,-0.24138004223099507,-0.2274071628813683,-0.21620284126948164,-0.20697517146790823,-0.19922650561189315,-0.19259481342169948,-0.18684550413329326,-0.18179830167546562,-0.17732972040045603,-0.1733394865696578,-0.16973713955904302,-0.1664802406577639,-0.16172468048950428,-0.16081112223820426},
+{-1.211639665050571,-0.6713938727580828,-0.4607698390089219,-0.3673015879198438,-0.3144938022646748,-0.275787370511436,-0.25937378042406145,-0.241338161499133,-0.22736975332698073,-0.21616886945678182,-0.206943921003921,-0.1991974684752762,-0.1925676168100221,-0.18681986068720846,-0.1817739892628456,-0.1773065612949889,-0.17331733744512867,-0.169715884506072,-0.16645978102468462,-0.16170551092155705,-0.16079220722292398},
+{-1.211406657518297,-0.6711853143212796,-0.46064268526363605,-0.3672135130894887,-0.314426439082478,-0.27573289208135776,-0.25932588339831497,-0.241296314023268,-0.22733237432827025,-0.2161349261839387,-0.20691269746506613,-0.1991684569646388,-0.19254044471989396,-0.1867942408251242,-0.1817496996219976,-0.177283424268861,-0.17329520977698465,-0.16969465035690945,-0.1664393418096175,-0.1616863633381076,-0.16077331045445753},
+{-1.2111733023845614,-0.6709768176291808,-0.4605156058958535,-0.36712549625030455,-0.3143591231552154,-0.27567846936442564,-0.2592780230975844,-0.24125449981304037,-0.2272950258958346,-0.21610101146168859,-0.206881500863755,-0.19913947109475671,-0.19251329716551702,-0.1867686445623722,-0.18172543276853226,-0.17726030933802583,-0.17327310358002634,-0.16967343712812522,-0.166418923028802,-0.1616672377228081,-0.1607544319615748},
+{-1.2109396006616082,-0.6707683828219668,-0.46038860089746514,-0.36703753739245926,-0.31429185448014607,-0.27562410224447653,-0.2592301995288864,-0.24121271887846696,-0.227257708039188,-0.21606712530168792,-0.20685033121267438,-0.19911051088038967,-0.1924861741608641,-0.18674307191433037,-0.1817011887173603,-0.1772372165190763,-0.17325101887088046,-0.16965224483655916,-0.16639852469902827,-0.1616481340598135,-0.16073557177500497},
+{-1.2107055533593956,-0.6705600100397531,-0.4602616702606479,-0.36694963650738366,-0.31422463305447934,-0.2755697906070953,-0.25918241269928366,-0.24117097122992526,-0.22722042076938287,-0.21603326771455045,-0.20681918852457137,-0.19908157633592083,-0.19245907571985654,-0.1867175228960214,-0.18167696748443163,-0.1772141458281169,-0.17322895566510077,-0.16963107349967288,-0.1663781468362906,-0.16162905233386482,-0.1607167299243777},
+{-1.2104711614861676,-0.6703516994222207,-0.46013481397768885,-0.3668617935862013,-0.3141574588755951,-0.2755155343373179,-0.2591346626164732,-0.24112925687802544,-0.22718316409632955,-0.2159994387120907,-0.2067880728122553,-0.19905266747669792,-0.1924320018577692,-0.18669199752314114,-0.18165276908526629,-0.17719109728231075,-0.17320691397895338,-0.16960992313463308,-0.16635778945764734,-0.16160999253008335,-0.1606979064392231},
+{-1.2102364260475822,-0.670143451108216,-0.46000803204086615,-0.36677400861959697,-0.31409033194126224,-0.27546133332245226,-0.2590869492878465,-0.2410875758329567,-0.227145938030624,-0.21596563830552995,-0.20675698408919274,-0.19902378431747714,-0.192404952588495,-0.18666649581100891,-0.18162859353576266,-0.17716807089738573,-0.17318489382839353,-0.16958879375844127,-0.16633745257989574,-0.1615909546336063,-0.160679101348304},
+{-1.210001348047692,-0.6699352652365711,-0.4598813244424118,-0.36668628159950245,-0.31402325224898675,-0.27540718744991644,-0.25903927272081084,-0.24104592810529013,-0.22710874258358693,-0.21593186650652285,-0.20672592236760146,-0.19899492687339126,-0.19237792792678654,-0.1866410177756599,-0.1816044408515669,-0.17714506669027585,-0.17316289523032324,-0.16956768538835654,-0.16631713621984723,-0.1615719386305745,-0.16066031468107056},
+{-1.2097659284883306,-0.6697271419453648,-0.45975469117484913,-0.3665986125168743,-0.31395621979729604,-0.27535309660837193,-0.25899163292318406,-0.24100431370566433,-0.2270715777654857,-0.2158981233267614,-0.2066948876612429,-0.19896609515963526,-0.19235092788750308,-0.18661556343242403,-0.18158031104904282,-0.1771220846778565,-0.17314091820024125,-0.16954659804238226,-0.16629684039449977,-0.16155294450684643,-0.16064154646562656},
+{-1.2095301683692155,-0.6695190813723446,-0.45962813223088794,-0.36651100136357684,-0.3138892345834563,-0.2752990606878143,-0.2589440299024872,-0.24096273264478718,-0.2270344435877103,-0.21586440877802815,-0.20666387998338465,-0.19893728919140052,-0.19232395248536527,-0.1865901327970274,-0.1815562041435843,-0.17709912487658563,-0.1731189627553693,-0.1695255317379054,-0.166276565120544,-0.16153397224914734,-0.16062279673067792},
+{-1.2092940686881475,-0.6693110836550087,-0.45950164760305157,-0.36642344813179406,-0.313822296606066,-0.27524507957798683,-0.25889646366694485,-0.24092118493357084,-0.22699734006158856,-0.21583072287228866,-0.2066328993474258,-0.1989085089845375,-0.192297001735529,-0.18656472588583384,-0.1815321201527187,-0.1770761873034914,-0.17309702891210144,-0.1695044864925208,-0.1662563104154131,-0.16151502184482958,-0.1606040655044758},
+{-1.2090576304409106,-0.6691031489299872,-0.45937523728427543,-0.3663359528125181,-0.3137554058632528,-0.27519115317041987,-0.2588489342245115,-0.24087967058260773,-0.22696026719787987,-0.2157970656217909,-0.20660194576691815,-0.19887975455353768,-0.1922700756529121,-0.18653934271447525,-0.1815080590919056,-0.1770532719753959,-0.1730751166874871,-0.16948346232425138,-0.16623607629602333,-0.16149609328168069,-0.16058535281476694},
+{-1.2088208546211128,-0.6688952773337968,-0.45924890126706686,-0.36624851539847825,-0.3136885623534251,-0.27513728135710025,-0.25880144158289475,-0.240838189603247,-0.2269232250086155,-0.21576343703826062,-0.20657101925512045,-0.19885102591511128,-0.1922431742528783,-0.18651398329899038,-0.1814840209776687,-0.17703037890903062,-0.17305322609804819,-0.16946245925050007,-0.16621586277981848,-0.16147718654749887,-0.1605666586894241},
+{-1.2085837422205978,-0.6686874690023545,-0.4591226395446242,-0.3661611358814749,-0.31362176607532355,-0.2750834640310096,-0.25875398575043285,-0.24079674200620893,-0.2268862135050771,-0.2157298371343117,-0.20654011982629328,-0.19882232308439818,-0.19221629755065273,-0.1864886476558656,-0.18146000582697042,-0.1770075081216831,-0.17303135716139195,-0.16944147728981918,-0.16619566988467938,-0.16145830163132224,-0.16054798315578367},
+{-1.2083462942288028,-0.6684797240715339,-0.45899645210986684,-0.366073814253987,-0.3135550170278609,-0.2750297010869982,-0.25870656673544445,-0.24075532780307896,-0.2268492326991467,-0.21569626592247104,-0.2065092474943988,-0.1987936460769415,-0.19218944556171458,-0.1864633358010881,-0.1814360136564872,-0.17698465963009014,-0.17300950989388397,-0.16942051645980882,-0.16617549762743877,-0.16143943852211962,-0.16052932624100436},
+{-1.208108511633478,-0.6682720426760644,-0.4588703389558919,-0.3659865505086142,-0.3134883152092982,-0.27497599241874227,-0.2586591845463655,-0.24071394700456672,-0.2268122826028094,-0.21566272341457982,-0.20647840227279168,-0.19876499490902866,-0.19216261830194092,-0.1864380477509311,-0.18141204448332893,-0.17696183345180216,-0.17298768431345124,-0.16939957677879036,-0.16615534602634874,-0.16142059720964852,-0.1605106879720939},
+{-1.2078703954203167,-0.6680644249508969,-0.45874430007609135,-0.36589934463748897,-0.31342166061901366,-0.27492233792246523,-0.2586118391915928,-0.24067259962197518,-0.2267753632280325,-0.21562920962405308,-0.20644758417613218,-0.19873636959603225,-0.19213581578672034,-0.18641278352190405,-0.1813880983244438,-0.17693902960341035,-0.17296588043755,-0.16937865826454512,-0.1661352150990787,-0.161401777684965,-0.16049206837676344},
+{-1.2076319465728416,-0.6678568710301986,-0.4586183354635782,-0.3658121966337813,-0.313355053256128,-0.27486873749448293,-0.2585645306799407,-0.24063128566700698,-0.22673847458703733,-0.2155957245633946,-0.206416793218418,-0.1987077701544795,-0.1921090380324646,-0.1863875431309232,-0.18136417519737158,-0.17691624810318984,-0.17294409828365787,-0.16935776093597,-0.16611510486319503,-0.16138297993826178,-0.1604734674811823},
+{-1.2073931660727766,-0.6676493810478394,-0.4584924451116805,-0.365725106490002,-0.3132884931201776,-0.27481519103251273,-0.2585172590197562,-0.2405900051506702,-0.22670161669191558,-0.21556226824529823,-0.20638602941387596,-0.19867919660033273,-0.1920822850546422,-0.1863623265942671,-0.18134027511895034,-0.17689348896748136,-0.17292233786971245,-0.16933688481067044,-0.16609501533772608,-0.16136420396148665,-0.1604548853119745},
+{-1.2071540548997088,-0.6674419551374617,-0.45836662901433023,-0.3656380741993548,-0.31322198021032044,-0.2747616984350092,-0.25847002421986787,-0.24054875808475984,-0.22666478955549785,-0.21552884068302092,-0.20635529277744702,-0.19865064894967688,-0.19205555686938247,-0.18633713392852158,-0.18131639810721545,-0.17687075221421544,-0.17290059921348977,-0.16931602990773698,-0.16607494653978705,-0.16134544974669573,-0.1604363218960465},
+{-1.206914614031267,-0.6672345934316537,-0.45824088716431,-0.3655510997551126,-0.3131555145258247,-0.2747082596006205,-0.2584228262895536,-0.24050754448052203,-0.22662799319005522,-0.21549544188956382,-0.20632458332304715,-0.19862212721878159,-0.19202885349342047,-0.18631196515099546,-0.1812925441794544,-0.176848037860859,-0.17287888233310866,-0.16929519624481593,-0.16605489848832455,-0.1613267172863555,-0.1604177772597417},
+{-1.206674844443116,-0.6670272960632415,-0.45811521955611667,-0.36546418315021434,-0.3130890960667845,-0.27465487442939107,-0.2583756652374909,-0.2404663643496221,-0.22659122760860662,-0.21546207187794053,-0.20629390106602052,-0.19859363142379394,-0.19200217494279315,-0.1862868202781911,-0.18126871335368655,-0.17682534592473864,-0.17285718724664356,-0.16927438384062476,-0.1660348712015729,-0.16130800657398936,-0.16039925142879952},
+{-1.206434747109058,-0.6668200631648435,-0.4579896261832115,-0.36537732437835224,-0.3130227248330417,-0.2746015428225217,-0.25832854107319214,-0.2404252177037165,-0.22655449282416207,-0.21542873066188584,-0.20626324602072366,-0.1985651615816657,-0.19197552123429595,-0.18626169932714198,-0.1812449056479899,-0.17680267642368896,-0.17283551397258456,-0.16925359271384366,-0.16601486469845916,-0.16128931760337473,-0.16038074443050654},
+{-1.2061943230005765,-0.6666128948675238,-0.4578641070393594,-0.3652905234329449,-0.3129564008249055,-0.27454826468161464,-0.2582814538054521,-0.24038410455454873,-0.22651778884951668,-0.2153954182545803,-0.2062326182023675,-0.19853671770846404,-0.1919488923846977,-0.18623660231548556,-0.18122112108037491,-0.17678002937528525,-0.17281386252961362,-0.1692328228832487,-0.16599487899745213,-0.16127065036936017,-0.1603622562903002},
+{-1.2059535730876068,-0.6664057913031067,-0.45773866211880687,-0.3652037803079615,-0.31289012404197614,-0.27449503990972524,-0.25823440344390924,-0.24034302491357273,-0.226481115698002,-0.21536213466995235,-0.20620201762603863,-0.19850829982097373,-0.1919222884105629,-0.18621152925962292,-0.181197359668829,-0.17675740479728397,-0.17279223293629542,-0.16921207436710084,-0.1659749141176068,-0.16125200486668234,-0.16034378703510477},
+{-1.205712498337844,-0.6661987526023552,-0.45761329141542184,-0.36511709499689715,-0.3128238944845929,-0.2744418684092551,-0.25818738999774027,-0.2403019787928855,-0.226444473382708,-0.21532887992141525,-0.20617144430670997,-0.19847990793557635,-0.19189570932892863,-0.18618648017773154,-0.18117362143242488,-0.176734802707891,-0.1727706252111858,-0.16919134718393813,-0.16595497007764237,-0.1612333810908506,-0.16032533669038074},
+{-1.205471099716986,-0.6659917788957754,-0.45748799492339387,-0.36503046749408696,-0.3127577121531733,-0.27438875008497554,-0.25814041347676664,-0.2402609662042252,-0.226407861917453,-0.215295654022988,-0.206140898260065,-0.19845154206947768,-0.19186915515710012,-0.18616145508686088,-0.1811499063891997,-0.17671222312472956,-0.17274903937394903,-0.16917064135323656,-0.16593504689710592,-0.16121477903910986,-0.16030690528349112},
+{-1.2052293781890038,-0.6657848703137681,-0.4573627726372145,-0.36494389779371517,-0.3126915770484153,-0.27433568484216586,-0.2580934738905931,-0.2402199871595485,-0.22637128131589712,-0.2152624569885333,-0.20611037950142297,-0.19842320223922627,-0.1918426259125301,-0.18613645400459866,-0.18112621455840738,-0.1766896660662649,-0.17272747544313027,-0.16914995689312384,-0.16591514459490497,-0.16119619870735669,-0.16028849283993019},
+{-1.2049873347157263,-0.6655780269858917,-0.4572376245507126,-0.36485738588969774,-0.31262548917122146,-0.2742826725862475,-0.2580465712489648,-0.24017904167034132,-0.22633473159147854,-0.21522928883213588,-0.20607988804644783,-0.1983948884619675,-0.1918161216119163,-0.18611147694873686,-0.18110254595825914,-0.17666713155026237,-0.17270593343842044,-0.16912929382286457,-0.16589526319071624,-0.16117764009405278,-0.16027009938563985},
+{-1.2047449702569724,-0.6653712490414598,-0.45711255065891443,-0.3647709317765315,-0.31255944852228623,-0.2742297132248961,-0.25799970556135676,-0.24013812974885163,-0.2262982127585076,-0.2151961495678787,-0.20604942391091363,-0.19836660075421975,-0.19178964227351258,-0.1860865239365701,-0.1810789006082647,-0.17664461959492606,-0.17268441337894025,-0.16910865216192228,-0.1658754027039624,-0.16115910319711801,-0.1602517249480151},
+{-1.2045022857710457,-0.6651645366097139,-0.4569875509563026,-0.3646845354492889,-0.3124934551023131,-0.27417680666481914,-0.2579528768383881,-0.2400972514075459,-0.22626172483114182,-0.21516303921042557,-0.20601898711063704,-0.19833833913372345,-0.19176318791483915,-0.1860615949868354,-0.1810552785276922,-0.17662213021938378,-0.17266291528461863,-0.16908803192844069,-0.1658555631544747,-0.16114058801514197,-0.16023336955285217},
+{-1.2042592822137195,-0.6649578898188349,-0.4568626254374255,-0.36459819690230866,-0.31242750891282434,-0.27412395281452184,-0.25790608508969903,-0.24005640665775196,-0.22622526782292596,-0.21512995777403354,-0.20598857766190726,-0.19831010361712664,-0.1917367585534251,-0.18603669011663548,-0.18103167973546164,-0.17659966344127298,-0.17264143917488006,-0.169067433142299,-0.16583574456177352,-0.16112209454765036,-0.16021503322656727},
+{-1.2040159605392065,-0.6647513087972214,-0.4567377740970109,-0.3645119161304784,-0.31236160995480233,-0.27407115158340645,-0.2578593303258394,-0.24001559551205176,-0.22618884174940312,-0.21509690527335934,-0.205958195580477,-0.19828189422203302,-0.19171035420777116,-0.1860118093448726,-0.18100810425160674,-0.17657721927962733,-0.17261998506971565,-0.16904685582216672,-0.1658159469460756,-0.1611036227947853,-0.16019671599592122},
+{-1.2037723216996534,-0.6645447936724498,-0.45661299692989665,-0.3644256931289416,-0.3122957582301584,-0.2740184028813033,-0.2578126125564708,-0.2399748179822776,-0.2261524466240843,-0.21506388172305968,-0.20592784088313643,-0.19825371096557554,-0.1916839748955148,-0.18598695268944354,-0.1809845520949409,-0.1765547977530133,-0.17259855298917337,-0.1690262999879284,-0.16579617032738803,-0.1610851727565361,-0.16017841788681153},
+{-1.2035283666454122,-0.6643383445722124,-0.4564882939312689,-0.36433952789264445,-0.31222995374000106,-0.27396570661967345,-0.2577659317923917,-0.23993407408099898,-0.22611608246213777,-0.21503088713773444,-0.2058975135860699,-0.19822555386518026,-0.1916576206353202,-0.1859621201682291,-0.18096102328515862,-0.17653239888018568,-0.17257714295344684,-0.16900576565896586,-0.16577641472546034,-0.16106674443469338,-0.16016013892680192},
+{-1.203284096324734,-0.664131961623446,-0.4563636650962586,-0.3642534204173078,-0.31216419648617233,-0.27391306270931004,-0.25771928804400446,-0.2398933638201335,-0.2260797492786999,-0.2149979215330049,-0.2058672137061741,-0.1981974229386445,-0.1916312914453897,-0.18593731180053652,-0.18093751784298462,-0.17651002268044103,-0.17255575498250764,-0.16898525285438737,-0.1657566801606709,-0.16104833783063732,-0.16014187914222333},
+{-1.2030395116841355,-0.6639256449525908,-0.45623911041983156,-0.3641673706979489,-0.312098486470509,-0.27386047106309164,-0.25767268132181975,-0.23985268721198594,-0.22604344708809698,-0.21496498492336968,-0.2058369412598573,-0.19816931820242267,-0.1916049873437995,-0.18591252760428212,-0.18091403578744192,-0.17648766917231562,-0.17253438909702368,-0.16896476159444518,-0.16573696665370363,-0.16102995294644984,-0.16012363855988276},
+{-1.2027946136679697,-0.6637193946860709,-0.4561146298973284,-0.3640813787307202,-0.312032823694949,-0.2738079315939892,-0.25762611163660765,-0.23981204426924485,-0.2260071759064335,-0.21493207732445363,-0.20580669626421688,-0.19814123967607244,-0.1915787083502103,-0.1858877675985191,-0.18089057713874368,-0.17646533837529965,-0.17251304531716727,-0.16894429189808058,-0.16571727422470417,-0.1610115897848612,-0.16010541720695315},
+{-1.202549403219039,-0.6635132109495725,-0.4559902235241893,-0.3639954445109961,-0.3119672081621463,-0.2737554442161567,-0.25757957899882733,-0.23977143500361642,-0.2259709357482187,-0.21489919875135755,-0.20577647873669314,-0.19811318737573913,-0.1915524544825189,-0.1858630318017429,-0.18086714191701248,-0.17644303030831487,-0.1724917236640806,-0.16892384378607161,-0.16569760289450564,-0.1609932483495271,-0.16008721511044577},
+{-1.2023038812778237,-0.663307093868994,-0.4558658912959661,-0.36390956803455765,-0.3119016398740051,-0.2737030088451018,-0.25753308341953485,-0.23973085942841088,-0.22593472662969205,-0.21486634921993186,-0.2057462886942094,-0.19808516131985954,-0.19152622575988865,-0.18583832023309377,-0.18084373014209199,-0.17642074499132399,-0.17247042415736047,-0.16890341727844493,-0.16567795268354502,-0.1609749286436184,-0.16006903229702907},
+{-1.2020580487832966,-0.6631010435689859,-0.4557416332081772,-0.3638237492980281,-0.31183611883274764,-0.2736506253952662,-0.2574866249094754,-0.23969031755530246,-0.22589854856594727,-0.21483352874556338,-0.20571612615363755,-0.19805716152642283,-0.19150002220127327,-0.18581363291157516,-0.18082034183439788,-0.17639848244346723,-0.17244914681859846,-0.1688830123949856,-0.16565832361292365,-0.16095663067116206,-0.16005086879463448},
+{-1.2018119066722033,-0.6628950601745931,-0.455617449256712,-0.36373798829716897,-0.31177064504131735,-0.2735982937835839,-0.2574402034799199,-0.23964980939701164,-0.22586240157332682,-0.21480073734438143,-0.20568599113349073,-0.1980291880129066,-0.19147384382602617,-0.18578896985611415,-0.18079697701448083,-0.1763762426843698,-0.17242789166854955,-0.16886262915581263,-0.16563871570325794,-0.16093835443761506,-0.1600327246308062},
+{-1.20156545587969,-0.6626891438099101,-0.45549333943720427,-0.36365228502863545,-0.311705218502361,-0.2735460139270671,-0.25739381914215187,-0.23960933496630332,-0.2258262856678357,-0.21476797503253842,-0.2056558836508966,-0.19800124079824322,-0.19144769065361267,-0.1857643310862862,-0.18077363570255933,-0.1763540257345113,-0.17240665872795446,-0.16884226758191012,-0.16561912897543074,-0.16092009994705947,-0.16001459983265498},
+{-1.2013186973388237,-0.6624832945992143,-0.45536930374562345,-0.36356663948862256,-0.31163983921909555,-0.27349378574376715,-0.25734747190686846,-0.23956889427578432,-0.22579020086517332,-0.2147352418256503,-0.20562580372379102,-0.19797331990029576,-0.1914215627033773,-0.1857397166213861,-0.1807503179189638,-0.17633183161321142,-0.17238544801823963,-0.168821927693795,-0.16559956345132854,-0.16090186720554023,-0.15999649442776587},
+{-1.2010716319808692,-0.6622775126662592,-0.4552453421783138,-0.36348105167401457,-0.31157450719430635,-0.27344160915299653,-0.25730116178555207,-0.2395284873378234,-0.22575414718189002,-0.21470253774042725,-0.2055957513702218,-0.19794542533711912,-0.191395459994677,-0.18571512648076016,-0.18072702368448468,-0.17630966034080053,-0.17236425956006762,-0.16880160951207834,-0.1655800191513741,-0.1608836562186422,-0.15997840844477906},
+{-1.200824260735291,-0.6620717981340167,-0.45512145473110444,-0.36339552158184496,-0.3115092224309475,-0.27338948407316366,-0.25725488878971703,-0.23948811416519078,-0.225718124634664,-0.21466986279317624,-0.20556572660833616,-0.19791755712715542,-0.1913693825471281,-0.1856905606844581,-0.1807037530193707,-0.17628751193742076,-0.17234309337492348,-0.16878131305755062,-0.16556049609707202,-0.1608654669918117,-0.15996034191066144},
+{-1.2005765845292506,-0.6618661511255333,-0.454997641400265,-0.36331004920858057,-0.31144398493263914,-0.27333741042508386,-0.25720865293060946,-0.2394477747706425,-0.2256821332402037,-0.21463721700065008,-0.20553572945653897,-0.19788971528883614,-0.19134333038079632,-0.18566601925192927,-0.1806805059445864,-0.17626538642331901,-0.17232194948350177,-0.16876103835103073,-0.16554099431017377,-0.16084729953263377,-0.15994229485404077},
+{-1.2003286042888215,-0.6616605717633917,-0.4548739021822765,-0.3632246345516972,-0.31137879470275465,-0.27328538812936287,-0.2571624542202233,-0.23940746916665923,-0.2256461730150825,-0.21460460037973128,-0.20550575993290643,-0.1978618998413033,-0.19131730351550047,-0.18564150220266384,-0.18065728248116208,-0.1762432838193515,-0.17230082790774048,-0.1687407854143732,-0.16552151381146984,-0.16082915384684604,-0.15992426730333165},
+{-1.200080320937353,-0.6614550601697946,-0.45475023707362894,-0.3631392776084077,-0.3113136517451718,-0.2732334171080275,-0.2571162926697692,-0.23936719736629897,-0.22561024397634455,-0.21457201294699324,-0.20547581805681325,-0.19783411080273972,-0.19129130197140398,-0.1856170095576708,-0.18063408264916525,-0.17622120414603515,-0.17227972866852959,-0.1687205542686918,-0.1655020546236443,-0.16081102994221652,-0.15990625928662006},
+{-1.1998317353969927,-0.661249616466483,-0.45462664607096137,-0.3630539783760405,-0.3112485560637417,-0.27318149728427343,-0.2570701682910599,-0.23932695938214366,-0.22557434614153848,-0.21453945472061697,-0.2054459038465577,-0.197806348192211,-0.19126532576870936,-0.18559254133650782,-0.18061090647002054,-0.17619914742452814,-0.17225865178770228,-0.16870034493553732,-0.16548261676799036,-0.1607929278256215,-0.15988827083246981},
+{-1.1995828485877755,-0.661044240775075,-0.4545031291708579,-0.36296873685239106,-0.31118350766172576,-0.27312962857999246,-0.25702408109595076,-0.23928675522700438,-0.22553847952737271,-0.2145069257168366,-0.20541601732094605,-0.19777861202865488,-0.19123937492724963,-0.18556809755971848,-0.18058775396460014,-0.1761771136754664,-0.1722375972864043,-0.16868015743604658,-0.16546320026616002,-0.16077484750427473,-0.1598703019698231},
+{-1.1993336614278887,-0.6608389332167359,-0.45437968637029513,-0.3628835530348091,-0.31111850654389883,-0.27307781091984396,-0.25697803109661344,-0.23924658491397288,-0.22550264415187726,-0.21447442595362354,-0.2053861584993406,-0.19775090233092918,-0.19121344946778152,-0.185543678247182,-0.18056462515401783,-0.17615510292062275,-0.1722165651869485,-0.16865999179238322,-0.1654438051401872,-0.1607567889869852,-0.15985235272717624},
+{-1.1990841748335743,-0.6606336939123825,-0.4542563176661485,-0.3627984269218345,-0.311053552714327,-0.2730260442283612,-0.2569320183050863,-0.23920644845561156,-0.22546684003236273,-0.21444195544842692,-0.20535632740108767,-0.1977232191184637,-0.19118754941100669,-0.18551928341987178,-0.18054152005935187,-0.1761331151808445,-0.17219555550976295,-0.16863984802610688,-0.1654244314116724,-0.16073875228075707,-0.15983442313408602},
+{-1.1988343897195417,-0.6604285229822633,-0.45413302305541414,-0.36271335851088615,-0.3109886461774849,-0.27297432843156955,-0.25688604273295823,-0.23916634586494112,-0.22543106718700656,-0.2144095142195237,-0.2053265240454909,-0.1976955624105443,-0.19116167477734614,-0.18549491309884303,-0.18051843870135897,-0.17611115047801995,-0.17217456827746602,-0.16861972615973286,-0.16540507910353064,-0.16072073739405823,-0.1598165132191074},
+{-1.1985843069982662,-0.6602234205464814,-0.4540098025353725,-0.36262834780012376,-0.3109237869379342,-0.27292266345556904,-0.2568401043926585,-0.23912627715463053,-0.2253953256333805,-0.2143771022847929,-0.205296748451957,-0.19766793222590984,-0.19113582558757436,-0.18547056730407085,-0.18049538110187058,-0.1760892088335435,-0.17215360351111286,-0.16859962621560065,-0.16538574823749919,-0.16070274433532816,-0.1597986230120032},
+{-1.1983339275807845,-0.6600183867249036,-0.45388665610331635,-0.3625433947886023,-0.31085897499998083,-0.2728710492266142,-0.2567942032968311,-0.23908624233824582,-0.22535961538999416,-0.21434471966224677,-0.20526700064051795,-0.19764032858492797,-0.1911100018625831,-0.18544624605741689,-0.1804723472821177,-0.17606729026994117,-0.1721326612335119,-0.16857954821528054,-0.16536643883632074,-0.16068477311313778,-0.15978075254266422},
+{-1.1980832523758789,-0.6598134216370433,-0.4537635837566487,-0.3624584994741138,-0.310794210369151,-0.272819485672958,-0.25674833945763176,-0.23904624142807407,-0.22532393647487226,-0.21431236637056905,-0.205237280631005,-0.19761275150661284,-0.19108420362377387,-0.18542194937968226,-0.1804493372631395,-0.17604539480866777,-0.17211174146566854,-0.1685594921819078,-0.16534715092205765,-0.16066682373649321,-0.15976290184030262},
+{-1.1978322822910314,-0.65960852540187,-0.45364058549283115,-0.36237366185561193,-0.31072949304956055,-0.2727679727225052,-0.25670251288737234,-0.23900627443749656,-0.22528828890673225,-0.2142800424280331,-0.20520758844310905,-0.19758520101158972,-0.19105843089166008,-0.1853976772924657,-0.1804263510670694,-0.17602352247241448,-0.1720908442298601,-0.16853945813758742,-0.16532788451705294,-0.1606488962136119,-0.15974507093516266},
+{-1.1975810182312658,-0.6594036981381315,-0.4535176613093306,-0.36228888193182485,-0.3106648230476008,-0.27271651030465804,-0.2566567235987254,-0.23896634137938655,-0.22525267270396832,-0.21424774785385736,-0.20517792409810376,-0.19755767711899352,-0.1910326836874443,-0.1853734298164973,-0.1804033887145522,-0.17600167328328276,-0.17206996954845266,-0.16851944610552394,-0.16530863964446496,-0.16063099055444852,-0.15972725985694858},
+{-1.1973294611003729,-0.6591989399643747,-0.45339481120424274,-0.36220415970159614,-0.3106002003678068,-0.2726650983499592,-0.2566109716045126,-0.23892644226689264,-0.22521708788548622,-0.21421548266673618,-0.20514828761520754,-0.19753017984904275,-0.19100696203305922,-0.18534920697384294,-0.18038045022794336,-0.17597984726408278,-0.17204911744322082,-0.1684994561085542,-0.16528941632695648,-0.16061310676737683,-0.15970946863641977},
+{-1.1970776118001423,-0.6589942509986457,-0.45327203517536674,-0.3621194951646505,-0.3105356250156497,-0.27261373678779854,-0.256565256917634,-0.23888657711272465,-0.22518153447035516,-0.21418324688573342,-0.20511867901557146,-0.1975027092221513,-0.19098126594948361,-0.18532500878670533,-0.18035753562886292,-0.17595804443781482,-0.17202828793664438,-0.1684794881691527,-0.16527021458724356,-0.1605952448624226,-0.15969169730357535},
+{-1.196825471230345,-0.658789631358685,-0.4531493332204626,-0.362034888319247,-0.3104710969968387,-0.27256242554990884,-0.2565195795506998,-0.2388467459303012,-0.225146012477218,-0.21415104053036949,-0.20508909832006061,-0.19747526525768322,-0.19095559545827712,-0.18530083527639007,-0.18033464493892204,-0.17593626482718427,-0.17200748105098462,-0.16845954231097338,-0.16525103444807243,-0.1605774048491515,-0.1596739458892369},
+{-1.1965730402891293,-0.658585081161819,-0.45302670533800615,-0.36195033916566466,-0.3104066163171524,-0.2725111645682219,-0.25647393951673614,-0.23880694873271047,-0.22511052192571057,-0.21411886361980947,-0.20505954554889172,-0.19744784797749837,-0.190929950581312,-0.18527668646558126,-0.18031177817995747,-0.17591450845510792,-0.17198669680867162,-0.16843961855663814,-0.16523187593226218,-0.1605595867364169,-0.15965621442385824},
+{-1.1963203198729966,-0.6583806005253265,-0.45290415152593155,-0.36186584770317154,-0.3103421829829873,-0.27245995377521837,-0.2564283368290745,-0.23876718553272802,-0.22507506283513656,-0.21408671617387043,-0.20503002072392995,-0.19742045740098035,-0.19090433134003426,-0.1852525623760677,-0.1802889353742252,-0.17589277534516512,-0.1719659352330023,-0.16841971693017754,-0.16521273906407785,-0.16054179053526063,-0.1596385029382681},
+{-1.1960673108763613,-0.6581761895659302,-0.45278167178262585,-0.36178141393145324,-0.3102777970001007,-0.2724087931050807,-0.25638277150065925,-0.23872745634408155,-0.2250396352247872,-0.2140545982126767,-0.20500052386577927,-0.1973930935491186,-0.19087873775678332,-0.18522846303073237,-0.1802661165434234,-0.17587106552093523,-0.1719451963452414,-0.16839983745451015,-0.16519362386592107,-0.1605240162545396,-0.15962081146352958},
+{-1.19581401419196,-0.657971848400221,-0.4526592661066484,-0.36169703785044405,-0.3102134583743954,-0.2723576824910072,-0.2563372435448539,-0.23868776117941337,-0.22500423911480816,-0.2140225097555266,-0.20497105499587853,-0.19736575644306598,-0.19085316985290746,-0.1852043884518988,-0.1802433217102326,-0.17584937900556064,-0.17192448016940887,-0.16837998015348,-0.1651745303613179,-0.1605062639053827,-0.15960314003015874},
+{-1.1955604307108514,-0.657767577144309,-0.4525369344968091,-0.36161271946035356,-0.310149167112618,-0.2723066218677168,-0.25629175297557794,-0.23864810005230197,-0.22496887452445868,-0.21399045082334567,-0.20494161413588152,-0.1973384461028651,-0.19082762765112626,-0.1851803386628621,-0.18022055089654287,-0.17582771582297774,-0.17190378672839302,-0.1683601450507073,-0.16515545857370206,-0.16048853349736802,-0.15958548866990085},
+{-1.1953065613220835,-0.6575633759138384,-0.45241467695133686,-0.36152845876121553,-0.31008492322168557,-0.2722556111710279,-0.2562462998060173,-0.23860847297593324,-0.22493354147424682,-0.21395842143620314,-0.20491220130735854,-0.1973111625507915,-0.1908021111729834,-0.18515631368571128,-0.1801978041250596,-0.17580607599754394,-0.17188311604462925,-0.16834033217012312,-0.16513640852645928,-0.16047082504138466,-0.15956785741383683},
+{-1.1950524069132236,-0.6573592448244732,-0.45229249346935596,-0.36144425575344563,-0.31002072670830394,-0.272204650337013,-0.2562008840498571,-0.23856887996371867,-0.22489823998353486,-0.21392642161447384,-0.20488281653234175,-0.19728390580715072,-0.19077662044102262,-0.1851323135448837,-0.18017508141793215,-0.17578445955229682,-0.1718624681421428,-0.16832054153520204,-0.1651173802442525,-0.1604531385485295,-0.1595502462924152},
+{-1.1947979683698664,-0.6571551839914953,-0.45217038405002796,-0.36136011043750926,-0.30995657757910067,-0.27215373930282816,-0.25615550572076273,-0.23852932102934332,-0.22486297007294098,-0.21389445137918806,-0.20485345983261638,-0.19725667589343843,-0.19075115547822818,-0.18510833826262463,-0.1801523827982372,-0.17576286651208406,-0.17184184304373673,-0.16830077317083436,-0.1650983737500269,-0.16043547402904856,-0.15953265533799765},
+{-1.1945432465757992,-0.6569511935295491,-0.45204834869207033,-0.36127602281419513,-0.3098924758406447,-0.27210287800498634,-0.2561101648330979,-0.23848979618557742,-0.22482773176294835,-0.21386251075082185,-0.20482413123008136,-0.19722947283143455,-0.19072571630602653,-0.18508438786341763,-0.18012970828821295,-0.17574129690154905,-0.17182124077367433,-0.16828102710053017,-0.16507938906836905,-0.16041783149501043,-0.15951508458131514},
+{-1.1942882424131724,-0.6567472735534423,-0.4519263873948187,-0.3611919928841676,-0.30982842150116596,-0.2720520663821109,-0.25606486140080875,-0.23845030544638135,-0.22479252507369196,-0.21383059975067198,-0.20479483074764282,-0.1972022966423186,-0.19070030294776608,-0.18506046237027185,-0.1801070579112345,-0.1757197507439141,-0.17180066135450467,-0.16826130334833245,-0.1650604262229436,-0.16040021095723134,-0.15949753405344858},
+{-1.1940329567625625,-0.6565434241776469,-0.45180450015764784,-0.3611080206487607,-0.30976441456733816,-0.2720013043725089,-0.25601959543786634,-0.23841084882525365,-0.2247573500257154,-0.2137987183995751,-0.20476555840702382,-0.1971751473480463,-0.19067491542575787,-0.18503656180731554,-0.18008443168973542,-0.17569822806421698,-0.1717801048112424,-0.1682416019387496,-0.1650414852376496,-0.16038261242693785,-0.15948000378620897},
+{-1.1937773905022064,-0.6563396455156543,-0.45168268698015623,-0.3610241061088928,-0.30970045504738586,-0.27195059191606674,-0.25597436695871423,-0.23837142633575148,-0.22472220663986242,-0.2137668667190944,-0.20473631423137384,-0.19714802497030348,-0.19064955376313897,-0.18501268619857214,-0.18006182964723294,-0.1756767288869696,-0.17175957116727503,-0.16822192289675186,-0.16502256613745203,-0.16036503591687534,-0.15946249381065414},
+{-1.1935215445090792,-0.6561359376814675,-0.4515609478616547,-0.3609402492657825,-0.30963654294864185,-0.27189992895360504,-0.2559291759777764,-0.23833203799172686,-0.22468709493717576,-0.21373504473084814,-0.20470709824322242,-0.1971209295312999,-0.1906242179827391,-0.1849888355686229,-0.1800392518069298,-0.17565525323754905,-0.1717390604468818,-0.16820226624682455,-0.16500366894710083,-0.1603474814395156,-0.15944500415835883},
+{-1.1932654196584105,-0.6559323007883986,-0.4514392828020153,-0.360856450121112,-0.3095726782783803,-0.27184931542594093,-0.25588402250951425,-0.23829268380691992,-0.22465201493784015,-0.213703252456396,-0.20467791046529982,-0.19709386105316007,-0.1905989081074555,-0.1849650099416511,-0.18001669819182808,-0.17563380113958793,-0.17171857267481094,-0.168182632013135,-0.16498479369054309,-0.16032994900643516,-0.15942753486045902},
+{-1.1930090168234502,-0.6557287349493439,-0.4513176918011581,-0.3607727086764374,-0.30950886104549014,-0.27179875127662,-0.2558389065692239,-0.23825336379530349,-0.2246169666636355,-0.2136714899169565,-0.20464875092101842,-0.19706681955812932,-0.1905736241606526,-0.18494120934217761,-0.17999416882616082,-0.17561237261848284,-0.17169810787493667,-0.16816302022115437,-0.1649659403931132,-0.16031243863119116,-0.15941008594879236},
+{-1.1927523368757535,-0.6555252402774538,-0.4511961748590032,-0.36068902493390276,-0.30944509125794006,-0.2717482364518453,-0.2557938281711536,-0.2382140779709072,-0.22458195013514448,-0.2136397571348887,-0.20461961963314934,-0.19703980506886154,-0.19054836616545856,-0.18491743379453318,-0.17997166373302242,-0.17559096769942606,-0.17167766607227897,-0.16814343089474626,-0.16494710907894827,-0.16029495032625718,-0.15939265745407383},
+{-1.1924953806853607,-0.6553218168848289,-0.45107473197531256,-0.3606053988949416,-0.3093813689243845,-0.27169777090114167,-0.25574878733048934,-0.23817482634777676,-0.22454696537394447,-0.21360805413223183,-0.20459051662603933,-0.19701281760802125,-0.1905231341452609,-0.1848936833242263,-0.17994918293599582,-0.17556958640678388,-0.1716572472920035,-0.16812386406007285,-0.16492829977401335,-0.16027748410580145,-0.15937524940790482},
+{-1.1922381491201754,-0.6551184648840458,-0.4509533631507292,-0.36052183056161624,-0.30931769405300535,-0.27164735457938605,-0.25570378406238525,-0.23813560893996488,-0.22451201240136243,-0.21357638093126674,-0.20456144192196213,-0.1969858571973333,-0.19049792812389832,-0.18486995795639416,-0.1799267264598896,-0.1755482287663792,-0.17163685155826336,-0.16810431974173845,-0.16490951250349895,-0.1602600399826386,-0.15935786184182987},
+{-1.1919806430469215,-0.6549151843866632,-0.45083206838546275,-0.3604383199370069,-0.3092540666522261,-0.2715969874470048,-0.2556588183820736,-0.23809642576230772,-0.22447709123862225,-0.21354473755403092,-0.20453239554526803,-0.19695892386105385,-0.19047274812490933,-0.18484625771569796,-0.17990429432813215,-0.17552689480302242,-0.1716164788969703,-0.16808479796505615,-0.16489074729216568,-0.16024261797213768,-0.1593404947873296},
+{-1.1917228633301544,-0.6547119755043838,-0.45071084768005676,-0.36035486702275144,-0.30919048673165683,-0.27154666947517825,-0.2556138903052574,-0.23805727682894684,-0.2244422019075838,-0.21351312402321376,-0.20450337751982595,-0.1969320176215401,-0.1904475941716921,-0.18482258262759999,-0.1798818865652443,-0.1755055845416944,-0.1715961293330448,-0.16806529875555398,-0.164872004166444,-0.16022521808796597,-0.1593231482757247},
+{-1.1914648108328345,-0.6545088383486419,-0.4505897010349962,-0.3602714718216955,-0.3091269542995043,-0.27149640064598834,-0.2555689998473767,-0.23801816215468818,-0.22440734442977117,-0.2134815403612027,-0.2044743878695474,-0.19690513850233238,-0.1904224662884264,-0.18479893271740444,-0.17985950319538802,-0.17548429800835663,-0.1715758028920309,-0.16804582213818264,-0.16485328315086178,-0.16020784034519053,-0.15930582233892565},
+{-1.1912064864162568,-0.6543057730302415,-0.45046862845089386,-0.360188134336882,-0.3090634693660377,-0.27144618095819695,-0.2555241470237952,-0.2379790817538492,-0.22437251882677245,-0.21344998659079906,-0.20444542661886445,-0.19687828652666006,-0.19039736449910905,-0.18477530801053632,-0.17983714424314634,-0.17546303522751572,-0.17155549959969463,-0.16802636813886807,-0.1648345842716772,-0.16019048475872566,-0.15928851700718738},
+{-1.1909478909400697,-0.6541027796602759,-0.4503476299287428,-0.36010485457073393,-0.30900003193981895,-0.2713960104302977,-0.25547933185064764,-0.23794003564179533,-0.22433772512066774,-0.21341846273458742,-0.20441649379154825,-0.19685146171789114,-0.19037228882836388,-0.1847517085324295,-0.1798148097336707,-0.17544179622552747,-0.17153521948126382,-0.1680069367835948,-0.1648159075555462,-0.16017315134418197,-0.15927123231370288},
+{-1.1906890252620395,-0.653899858349142,-0.45022670546983434,-0.3600216325270331,-0.30893664203064475,-0.27134588910353585,-0.2554345543441272,-0.23790102383336276,-0.2243029633335265,-0.21338696881607966,-0.2043875894124536,-0.19682466410031374,-0.1903472392994594,-0.18472813430921775,-0.17979249969190647,-0.17542058102746338,-0.171514962563581,-0.16798752809752315,-0.16479725302798442,-0.16015584011758577,-0.15925396828933458},
+{-1.190429890238355,-0.6536970092067307,-0.45010585507485246,-0.35993846820855246,-0.30887329964796173,-0.27129581704974903,-0.25538981452021936,-0.2378620463438228,-0.224268233486983,-0.21335550485805577,-0.2043587135063838,-0.1967978936968251,-0.19032221593750087,-0.18470458536625145,-0.17977021414230698,-0.17539938965881774,-0.17149472887189532,-0.16796814210696454,-0.16477862071533877,-0.1601385510953115,-0.15923672496621322},
+{-1.1901704867235283,-0.6534942323433253,-0.4499850787454882,-0.35985536161878073,-0.3088100048020923,-0.27124579437585794,-0.25534511239528257,-0.23782310318883226,-0.2242335356034051,-0.21332407088319272,-0.20432986609765358,-0.19677115053280048,-0.1902972187668741,-0.18468106172981358,-0.17974795311093672,-0.17537822214556087,-0.17147451843221972,-0.16794877883761572,-0.16476001064328116,-0.16012128429267491,-0.15921950237605031},
+{-1.1899108155703146,-0.6532915278682765,-0.4498643764824912,-0.35977231276148736,-0.30874675750309066,-0.2711958212305383,-0.25530044798576945,-0.23778419438340848,-0.22419886970521574,-0.21329266691564008,-0.20430104721205034,-0.1967444346316487,-0.19027224781233798,-0.18465756342565598,-0.17972571662281922,-0.17535707851310178,-0.17145433127218368,-0.16792943831613982,-0.16474142283965776,-0.16010403972803644,-0.15920230055114004},
+{-1.1896508776298083,-0.6530888958913401,-0.44974374828786523,-0.3596893216402197,-0.30868355776104295,-0.2711458978107757,-0.2552558213077578,-0.23774531994379622,-0.22416423581476153,-0.21326129297831287,-0.20427225687367923,-0.19671774601765257,-0.19024730309881477,-0.1846340904797632,-0.17970350470352514,-0.1753359587875849,-0.17143416741690132,-0.1679101205684539,-0.16472285733055614,-0.16008681741750053,-0.1591851195230376},
+{-1.189390673751225,-0.6528863365213642,-0.44962319416318586,-0.3596063882592766,-0.30862040558586123,-0.2710960243674201,-0.25521123237897747,-0.23770647988548,-0.2241296339541492,-0.21322994909494497,-0.20424349510856032,-0.19669108471622643,-0.1902223846508324,-0.1846106429182761,-0.17968131737951865,-0.17531486299499477,-0.17141402689391683,-0.1678908256212388,-0.16470431414264297,-0.16006961737860692,-0.15916795932465888},
+{-1.1891302047826464,-0.6526838498671861,-0.4495027141102259,-0.35952351262228177,-0.3085573009888787,-0.2710462012150163,-0.25516668121573716,-0.23766767422475255,-0.22409506414659397,-0.21319863528919392,-0.20421476194135657,-0.19666445075086258,-0.19019749249334872,-0.18458722076763046,-0.17965915467643256,-0.17529379116066224,-0.17139390972942792,-0.1678715535006461,-0.16468579330304678,-0.16005243962931814,-0.15915081998748093},
+{-1.1888694715698724,-0.6524814360375046,-0.44938230813097846,-0.3594406947339728,-0.30849424398057934,-0.2709964287381492,-0.2551221678355766,-0.2376289029782228,-0.22406052641391483,-0.21316735158479005,-0.20418605739816087,-0.1966378441479577,-0.1901726266521262,-0.18456382405358696,-0.1796370166209087,-0.17527274331175846,-0.17137381595017942,-0.16785230423334951,-0.1646672948384058,-0.16003528418709223,-0.15913370154478912},
+{-1.1886084749572712,-0.65227909514042,-0.4492619762271861,-0.35935793459833576,-0.3084312345720033,-0.27094670739858273,-0.2550776922554743,-0.23759016616208406,-0.22402602077945488,-0.2131360980058652,-0.20415738150464335,-0.196611264931855,-0.1901477871521262,-0.18454045280324038,-0.1796149032389458,-0.17525171947367468,-0.17135374558393934,-0.16783307784604773,-0.1646488187765769,-0.1600181510710854,-0.1591166040281884},
+{-1.1883472157876787,-0.6520768272844588,-0.44914171840143347,-0.3592752322202415,-0.3083682727745387,-0.2708970377445361,-0.25503325449257375,-0.23755146379343373,-0.22399154726575787,-0.21310487457604488,-0.20412873428657896,-0.19658471312788883,-0.19012297401955358,-0.1845171070427405,-0.17959281455777898,-0.17523071967326587,-0.17133369865699777,-0.16781387436682138,-0.1646303651450225,-0.1600010402987877,-0.15909952747076517},
+{-1.1880856949022363,-0.6518746325769129,-0.44902153465586814,-0.35919258760461936,-0.30830535859846364,-0.2708474204151461,-0.25498885456456755,-0.23751279588894825,-0.223957105895785,-0.21307368131980553,-0.20410011576874076,-0.19655818876128528,-0.1900981872784584,-0.18449378679843065,-0.1795707506036699,-0.17520974393652722,-0.17131367519674612,-0.16779469382030143,-0.16461193397020324,-0.15998395188874426,-0.1590824719042061},
+{-1.1878239131398782,-0.6516725111254154,-0.44890142499277097,-0.35911000075591026,-0.30824249205600474,-0.27079785615080176,-0.25494449248959583,-0.23747416246587605,-0.22392269669263776,-0.2130425182615756,-0.20407152597898204,-0.1965316918581177,-0.19007342695597274,-0.18447049209710897,-0.17954871140440432,-0.17518879229035988,-0.17129367523150307,-0.1677755362360216,-0.16459352528112348,-0.15996688586137964,-0.15906543736165446},
+{-1.18756187133887,-0.651470463037457,-0.44878138941492374,-0.3590274716797577,-0.3081796731584081,-0.270748345799678,-0.25490016828528184,-0.23743556354181727,-0.22388831967927736,-0.21301138542549758,-0.20404296494239205,-0.19650522244447366,-0.19004869307791594,-0.18444722296543148,-0.1795266969868905,-0.1751678647620487,-0.1712736987882657,-0.16775640164025774,-0.16457513910443922,-0.15994984223454267,-0.1590484238759089},
+{-1.1872995703348792,-0.6512684884197029,-0.44866142792490926,-0.35894500038094534,-0.30811690191838714,-0.2706988903238816,-0.25485588196943887,-0.23739699913427437,-0.22385397487914993,-0.2129802828359697,-0.20401443268595898,-0.1964787805460908,-0.19002398566971124,-0.1844239794304201,-0.17950470737871527,-0.17514696137744679,-0.17125374589437925,-0.16773729006114735,-0.16455677546877467,-0.15993282102831685,-0.15903143147930265},
+{-1.1870370109625341,-0.6510665873791925,-0.4485415405260049,-0.3588625868652926,-0.3080541783473336,-0.2706494908061092,-0.254811633560621,-0.2373584692613413,-0.22381966231556127,-0.2129492105180404,-0.2039859292350492,-0.1964523661889359,-0.1899993047583095,-0.1844007615189085,-0.1794827426077994,-0.17512608216463477,-0.1712338165779741,-0.1677182015258758,-0.1645384344027434,-0.1599158222623842,-0.15901446020359344},
+{-1.1867741940546521,-0.6508647600224702,-0.4484217272206372,-0.35878023113833457,-0.3079915024566855,-0.2706001484544096,-0.2547674230768262,-0.2373199739407461,-0.2237853820114868,-0.21291816849638678,-0.203957454616841,-0.19642597939963835,-0.18997465036899897,-0.1843775692575207,-0.17946080270171194,-0.17510522715003063,-0.17121391086717352,-0.16769913606233544,-0.16452011593299787,-0.15989884595601467,-0.15899751008152307},
+{-1.1865111204423178,-0.6506630064555967,-0.4483019880124086,-0.3586979332057503,-0.3079288742595683,-0.270550864609044,-0.2547232505371628,-0.23728151319124713,-0.22375113399090196,-0.212887156795734,-0.20392900885806853,-0.1963996202046978,-0.18995002252915683,-0.18435440267338166,-0.17943888768921568,-0.17508439636156936,-0.1711940287894187,-0.1676800936988272,-0.16450182008901137,-0.15988189213035042,-0.15898058114584046},
+{-1.186247790955111,-0.650461326784999,-0.44818232290418614,-0.3586156930735669,-0.30786629376845376,-0.2705016407467582,-0.25467911595969284,-0.23724308703165953,-0.2237169182768266,-0.21285617544075386,-0.20390059198515686,-0.19637328863100478,-0.18992542126530765,-0.1843312617937123,-0.17941699759768426,-0.17506358982636527,-0.17117417037337646,-0.16766107446232326,-0.16448354689869404,-0.15986496080418888,-0.1589636734283033},
+{-1.1859842064208452,-0.6502597211160559,-0.4480627318996202,-0.35853351074797324,-0.3078037609963218,-0.2704524784848452,-0.2546350193639686,-0.23720469548043965,-0.2236827348936128,-0.21282522445735452,-0.20387220402517414,-0.19634698470513712,-0.1899008466035319,-0.1843081466454386,-0.17939513245577032,-0.1750428075722823,-0.17115433564753602,-0.16764207838234313,-0.1644652963912563,-0.15984805199909147,-0.15894678696110986},
+{-1.1857203676657075,-0.650058189554338,-0.44794321500221557,-0.35845138623478334,-0.3077412759557596,-0.2704033795835734,-0.25459096076816756,-0.2371663385570919,-0.22364858386435138,-0.21279430387064657,-0.20384384500450992,-0.19632070845436544,-0.18987629857182142,-0.1842850572561332,-0.17937329229286547,-0.17502204962729806,-0.1711345246396263,-0.16762310548704917,-0.16444706859531877,-0.15983116573521272,-0.1589299217768918},
+{-1.1854562755145226,-0.6498567322055067,-0.4478237722156191,-0.35836931954166573,-0.3076788386592142,-0.27035434594909624,-0.25454694019209256,-0.23712801628103897,-0.22361446521338024,-0.2127634137055221,-0.20381551495115602,-0.19629445990572236,-0.18985177719680735,-0.1842619936534433,-0.17935147713689048,-0.1750013160193724,-0.1711147373790638,-0.16760415580479915,-0.16442886354011677,-0.15981430203375524,-0.15891307790700893},
+{-1.1851919307902152,-0.6496553491742532,-0.44770440354401586,-0.3582873106740614,-0.3076164491209088,-0.2703053796359356,-0.2545029576549762,-0.23708972867159694,-0.22358037896434624,-0.2127325539881273,-0.20378721389165122,-0.19626823908695812,-0.18982728250549386,-0.18423895586430916,-0.17932968701714103,-0.1749806067769164,-0.171094973893279,-0.1675852293648319,-0.16441068125402225,-0.15979746091599978,-0.15889625538415686},
+{-1.1849273343142048,-0.6494540405655531,-0.44758510899073123,-0.35820535963915034,-0.30755410735384814,-0.270256482847854,-0.25445901317658404,-0.23705147574918328,-0.223546325141335,-0.2127017247437184,-0.20375894185362142,-0.19624204602524742,-0.18980281452598646,-0.1842159439163389,-0.1793079219631828,-0.17495992192826648,-0.17107523421216086,-0.1675663261952991,-0.16439252176671104,-0.15978064240248813,-0.15887945424033845},
+{-1.1846624869061966,-0.6492528064839895,-0.4474658885603038,-0.3581234664442281,-0.30749181337180076,-0.2702076579377053,-0.2544151067758005,-0.2370132575338868,-0.2235123037686524,-0.2126709259981876,-0.20373069886409567,-0.1962158807490404,-0.18977837328523606,-0.18419295783740353,-0.17928618200298985,-0.174939261501585,-0.1710555183643585,-0.16754744632594054,-0.1643743851076387,-0.15976384651476394,-0.15886267450674652},
+{-1.1843973893845412,-0.6490516470340015,-0.44734674225690263,-0.35804163109574283,-0.30742956718837,-0.2701589074079713,-0.2543712384728991,-0.23697507404610896,-0.22347831487019576,-0.21264015777740397,-0.20370248495071053,-0.19618974328528793,-0.1897539588116004,-0.18416999765531727,-0.17926446716725408,-0.1749186255268178,-0.17103582637805914,-0.16752858978578544,-0.16435627130680075,-0.15974707327426074,-0.15884591621606958},
+{-1.184132042565781,-0.6488505623197636,-0.4472276700851392,-0.3579598536020647,-0.3073673688175713,-0.2701102339072605,-0.25432740828824585,-0.23693692530665267,-0.22344435847079325,-0.21260942010739114,-0.20367430014158927,-0.19616363366244016,-0.18972957113256683,-0.18414706339766695,-0.17924277748506157,-0.17489801403202065,-0.171016158284079,-0.16750975660430356,-0.1643381803931767,-0.15973032270375498,-0.15882917939999075},
+{-1.1838664472646778,-0.6486495524451303,-0.44710867204915594,-0.35787813396973434,-0.3073052182736191,-0.27006164023119617,-0.25428361624185136,-0.2368988113364381,-0.22341043459394427,-0.2125787130150485,-0.20364614446373253,-0.19613755190875182,-0.18970521027683418,-0.18412415509286362,-0.1792211129861414,-0.17487742704603093,-0.17099651410999073,-0.1674909468112773,-0.1643201123971565,-0.1597135948247903,-0.15881246409020733},
+{-1.1836006042948775,-0.6484486175136297,-0.44698974815379167,-0.3577964722071787,-0.3072431155706923,-0.27001312931797905,-0.25423986235340656,-0.23686073215694847,-0.22337654326486778,-0.2125480365253054,-0.2036180179451499,-0.19611149805282935,-0.18968087627245822,-0.18410127276889554,-0.17919947370049982,-0.17485686459944105,-0.17097689388605275,-0.16747216043559732,-0.16430206734845143,-0.15969688965844497,-0.15879577031938297},
+{-1.1833345144681333,-0.6482477576289067,-0.4468708984039189,-0.35771486832164534,-0.30718106072360385,-0.26996470424698416,-0.25419614664398615,-0.2368226877893651,-0.22334268450801176,-0.2125173906659441,-0.20358992061427372,-0.1960854721226042,-0.18965656914789975,-0.18407841645407075,-0.17917785965746447,-0.17483632672066207,-0.17095729764208656,-0.16745339750804789,-0.16428404527769302,-0.15968020722846177,-0.15877909811948143},
+{-1.183068178594648,-0.6480469728942335,-0.4467521228044422,-0.3576333223215791,-0.3071190537470674,-0.2699163682325292,-0.2541524691336772,-0.23678467825614824,-0.2233088583481848,-0.21248677546281414,-0.20356185249848835,-0.19605947414761005,-0.18963228893245088,-0.1840555861764166,-0.17915627088706287,-0.17481581344005193,-0.17093772540672703,-0.16743465805811297,-0.16426604621520724,-0.15966354755627066,-0.15876244752231017},
+{-1.1828015974829738,-0.6478462634125641,-0.4466334213606764,-0.35755183421529146,-0.3070570946556277,-0.2698681246198298,-0.2541088298437142,-0.23674670357883443,-0.22327506480981363,-0.21245619094291968,-0.20353381362633272,-0.19603350415603416,-0.18960803565440543,-0.1840327819651577,-0.17913470741992654,-0.17479532478715853,-0.1709181772108579,-0.16741594211670474,-0.1642480701914053,-0.1596469106653977,-0.1587458185606465},
+{-1.1825347719402641,-0.6476456292866999,-0.44651479407780137,-0.3574704040104084,-0.30699518346447974,-0.26981997688096904,-0.2540652287949339,-0.2367087637797809,-0.22324130391814379,-0.21242563713332174,-0.20350580402608998,-0.19600756217691995,-0.1895838093429738,-0.18401000384829302,-0.17911316928580234,-0.17477486079167903,-0.17089865308328456,-0.1673972497130798,-0.164230117236432,-0.15963029657836358,-0.158729211266337},
+{-1.1822677027718926,-0.6474450706192911,-0.4463962409610467,-0.3573890317165258,-0.3069333201891187,-0.26977192860882226,-0.2540216660087413,-0.23667085888191508,-0.22320757569783467,-0.21239511406056621,-0.2034778237258834,-0.1959816482395702,-0.18955961002808053,-0.1839872518546528,-0.179091656515471,-0.17475442148510822,-0.17087915305447154,-0.1673785808783954,-0.16421218738190646,-0.15961370531780972,-0.15871262567273092},
+{-1.182000390781873,-0.6472445875128212,-0.446277762016134,-0.35730771734171185,-0.306871504845061,-0.2697239835108096,-0.25397814150579734,-0.23663298890806672,-0.22317388017423667,-0.2123646217523465,-0.20344987275419868,-0.19595576237357193,-0.1895354377384173,-0.1839645260136642,-0.17907016913868645,-0.1747340068961094,-0.17085967715540562,-0.16735993564282836,-0.1641942806585064,-0.15959713690765298,-0.15869606181271934},
+{-1.1817328367725368,-0.6470441800695141,-0.44615935724890576,-0.3572264608948945,-0.3068097374479368,-0.2696761454026113,-0.25393465530752124,-0.23659515388114194,-0.22314021737243195,-0.21233416023532925,-0.20342195113962802,-0.1959299046076275,-0.18951129250527643,-0.18394182635409706,-0.1790487071858884,-0.17471361705624844,-0.1708402254147181,-0.16734131403800845,-0.16417639709730736,-0.15958059137106062,-0.1586795197187918},
+{-1.1814650415443735,-0.6468438483904517,-0.44604102666436773,-0.3571452623850977,-0.30674801801225726,-0.26962841819871564,-0.25389120743533056,-0.23655735382429555,-0.22310658731710475,-0.21230372953708354,-0.2033940589103338,-0.19590407497161522,-0.1894871743568345,-0.1839191529053501,-0.17902727068794988,-0.17469325199611774,-0.1708207978642875,-0.16732271609351557,-0.16415853672980774,-0.15956406873143436,-0.1586629994248625},
+{-1.1811970058969967,-0.6466435925786413,-0.4459227702698705,-0.3570641218221393,-0.3066863465560825,-0.2695808059099907,-0.2538477979118614,-0.23651958876177304,-0.223072990034769,-0.21227332968609858,-0.203366196096205,-0.19587827349573672,-0.18946308332448325,-0.18389650569648808,-0.17900585967583993,-0.1746729117461321,-0.17080139453387488,-0.16730414184176112,-0.1641406995872714,-0.15954756901336253,-0.15864650096482436},
+{-1.1809287306280316,-0.6464434127353211,-0.44580458807104506,-0.35698303921536656,-0.30662472309451516,-0.2695333126320776,-0.25380442675838566,-0.23648185871752503,-0.22303942555038958,-0.2122429607091405,-0.20333836272544303,-0.19585250020940848,-0.18943901943828223,-0.18387388475767352,-0.1789844741796145,-0.17465259633788932,-0.17078201545466243,-0.16728559131287568,-0.16412288570127487,-0.15953109224014383,-0.15863002437274076},
+{-1.1806602165333677,-0.6462433089614787,-0.4456864800739613,-0.35690201457403425,-0.306563147644324,-0.2694859425383278,-0.2537610939967916,-0.23644416371530852,-0.22300589388944303,-0.21221262263494722,-0.20331055882716953,-0.19582675514284986,-0.18941498272899793,-0.18385129011823764,-0.1789631142303989,-0.1746323058020991,-0.17076266065742018,-0.1672670645390575,-0.16410509510368243,-0.1595146384373365,-0.15861356968324714},
+{-1.180391464407677,-0.6460432813586987,-0.4455684462854581,-0.35682104790824987,-0.3065016202221784,-0.26943869987404945,-0.2537177996493707,-0.23640650377965855,-0.22297239507805244,-0.21218231549099187,-0.2032827844302716,-0.19580103832621631,-0.18939097322807186,-0.18382872180823995,-0.1789417798589561,-0.17461204017057952,-0.17074333017293242,-0.16724856155176937,-0.16408732782684154,-0.15949820762847366,-0.15859713693155442},
+{-1.1801224750440822,-0.6458433300277342,-0.4454504867118789,-0.35674013922786507,-0.306440140843911,-0.2693915889426144,-0.2536745437383363,-0.2363688789351741,-0.2229389291415096,-0.2121520393058134,-0.2032550395643824,-0.1957753497895709,-0.18936699096553866,-0.18380617985755876,-0.1789204710960739,-0.1745917994743138,-0.17072402403266906,-0.16723008238204073,-0.16406958390238202,-0.15948179983922017,-0.15858072615278473},
+{-1.1798532492339744,-0.6456434550692869,-0.44533260136016395,-0.35665928854304063,-0.30637870952725876,-0.26934461410380806,-0.2536313262865235,-0.23633128920698,-0.2229054961062893,-0.2121217941074498,-0.20322732425838907,-0.19574968956408867,-0.18934303597350421,-0.18378366429693216,-0.17889918797319027,-0.1745715837451698,-0.17070474226793664,-0.16721162706287274,-0.16405186336263,-0.15946541509537226,-0.15856433738318643},
+{-1.179583787767199,-0.6454436565841206,-0.4452147902370793,-0.35657849586428014,-0.3063173262895198,-0.2692977797613718,-0.2535881473160373,-0.23629373462046388,-0.2228720959979995,-0.2120915799241203,-0.20319963854181466,-0.1957240576793886,-0.18931910828320753,-0.18376117515612123,-0.1788779305207484,-0.1745513930149798,-0.1706854849100381,-0.16719319562463397,-0.1640341662396061,-0.1594490534212447,-0.1585479706592423},
+{-1.1793140914322908,-0.6452439346723153,-0.44509705334989746,-0.3564977612020339,-0.3062559911476388,-0.2692510903551,-0.2535450068499543,-0.2362562152002745,-0.22283872884327494,-0.21206139678529823,-0.2031719824445375,-0.1956984541666138,-0.18929520792647025,-0.18373871246590667,-0.17885669877058774,-0.17453122731491533,-0.17066625199139196,-0.16717478810074127,-0.16401649256647843,-0.15943271484391985,-0.1585316260178189},
+{-1.17904416101607,-0.6450442894346082,-0.4449793907057664,-0.35641708456654086,-0.30619470411957117,-0.2692045503532867,-0.25350190491082003,-0.23621873097266288,-0.22280539466810012,-0.2120312447198458,-0.2031443559957289,-0.19567287905640995,-0.1892713349353592,-0.18371627625798226,-0.17883549275394373,-0.1745110866779882,-0.170647043542413,-0.16715640452341773,-0.16399884237584672,-0.1594163993895812,-0.15851530349582887},
+{-1.178773997303951,-0.6448447209704931,-0.4448618023122286,-0.35633646596985713,-0.30613346522185836,-0.26915816424191874,-0.25345884152233644,-0.23618128196385513,-0.22277209349913818,-0.21200112375586144,-0.20311675922559758,-0.19564733238008714,-0.18924748934227154,-0.18369386656251763,-0.1788143125018422,-0.1744909711359206,-0.17062785959643634,-0.16713804492487938,-0.16398121570060908,-0.1594001070849984,-0.1584990031311193},
+{-1.1785036010798144,-0.6446452293799787,-0.44474428817675893,-0.35625590542190366,-0.30607227447368324,-0.2691119365193515,-0.2534158167072764,-0.2361438681994521,-0.22273882536257972,-0.21197103392323058,-0.20308919216401122,-0.19562181416858948,-0.18922367117892946,-0.1836714834110147,-0.17879315804633933,-0.1744708807209676,-0.1706087001851344,-0.16711970933793907,-0.16396361257379155,-0.15938383795753097,-0.1584827249623011},
+{-1.1782329731259233,-0.6444458147629692,-0.44462684830709875,-0.35617540293453764,-0.3060111318925074,-0.2690658716848926,-0.25337283048905945,-0.23610648970621995,-0.22270559028585524,-0.21194097525071953,-0.20306165484088368,-0.1955963244530885,-0.18919988047854375,-0.18364912683530576,-0.17877202941881976,-0.1744508154658888,-0.17058956534065572,-0.1671013977953848,-0.16394603302804356,-0.15936759203397344,-0.15846646902669903},
+{-1.1779621142230905,-0.6442464772186511,-0.44450948271111557,-0.35609495851911177,-0.30595003749702165,-0.26901997423304636,-0.2533298828909558,-0.2360691465107223,-0.22267238829553193,-0.21191094776858677,-0.20303414728676827,-0.19557086326520334,-0.18917611727332684,-0.1836267968665659,-0.17875092665111225,-0.17443077540293572,-0.17057045509626434,-0.1670831103301964,-0.16392847709722247,-0.1593513693427262,-0.1584502353636097},
+{-1.177691025150545,-0.6440472168463351,-0.4443921913968403,-0.3560145721869805,-0.3058889913053289,-0.2689742486446498,-0.25328697393678823,-0.23603183863980703,-0.22263921941824094,-0.21188095150576558,-0.20300666953118807,-0.19554543063599894,-0.1891523815965357,-0.18360449353707864,-0.1787298497751273,-0.17441076056539373,-0.17055136948366467,-0.16706484697592572,-0.16391094481558355,-0.1593351699121044,-0.15843402401158713},
+{-1.1774197066862637,-0.6438480337452077,-0.44427497437273367,-0.35593424395055884,-0.3058279933361092,-0.26892869937638864,-0.2532441036505304,-0.23599456612116754,-0.22260608368187462,-0.21185098649225154,-0.20297922160568405,-0.19552002659709444,-0.18912867348116436,-0.18358221687921983,-0.17870879882320878,-0.17439077098571687,-0.17053230853715107,-0.16704660776521862,-0.16389343621569097,-0.15931899377087433,-0.15841783500994566},
+{-1.1771481596064621,-0.6436489280144411,-0.444157831646951,-0.35585397382152983,-0.3057670436081228,-0.26888333085705085,-0.25320127205672804,-0.23595732898175115,-0.22257298111307833,-0.211821052758296,-0.20295180354058928,-0.1954946511807556,-0.18910499296031702,-0.18355996692512377,-0.17868777382739864,-0.17437080669634852,-0.1705132722885523,-0.16702839273263237,-0.16387595133182487,-0.1593028409482713,-0.1584016683972429},
+{-1.1768763846858947,-0.643449899752456,-0.4440407632280916,-0.3557737618118164,-0.3057061421405507,-0.2688381474771795,-0.2531584791783388,-0.23592012724925482,-0.22253991173965204,-0.2117911503333687,-0.20292441536601302,-0.19546930441842392,-0.18908134006722577,-0.1835377437072161,-0.17866677482052395,-0.17435086773161856,-0.17049426077088015,-0.16701020191054283,-0.1638584901975726,-0.15928671147266726,-0.15838552421326213},
+{-1.1766043826979207,-0.6432509490579861,-0.44392376912495735,-0.3556936079343114,-0.30564528895277476,-0.26879315358352507,-0.2531157250401712,-0.23588296095162775,-0.22250687558950233,-0.21176127924908883,-0.2028970571138231,-0.19544398634271332,-0.1890577148355881,-0.18351554725898112,-0.17864580183486822,-0.17433095412432564,-0.17047527401911466,-0.1669920353338945,-0.16384105284795325,-0.15927060537541138,-0.15836940249707965},
+{-1.176332154414399,-0.6430520760296332,-0.44380684934624526,-0.35561351220115966,-0.3055844840643065,-0.26874835347149073,-0.2530730096661955,-0.23584583011734495,-0.22247387269019114,-0.21173143953424045,-0.20286972881439524,-0.19541869698495873,-0.18903411729887765,-0.18349337761289775,-0.1786248549027718,-0.17431106590758816,-0.17045631206547895,-0.1669738930361646,-0.16382363931657906,-0.15925452268537654,-0.15835330328897257},
+{-1.1760597006054851,-0.6428532807655483,-0.44369000390114266,-0.35553347462563956,-0.30552372749421686,-0.2687037513755808,-0.25303033308179934,-0.23580873477451192,-0.2224409030699377,-0.21170163122096852,-0.2028424304993841,-0.19539343637786288,-0.18901054749110457,-0.18347123480327454,-0.17860393405776165,-0.1742912031151178,-0.17043737494469724,-0.16695577505252146,-0.16380624963819912,-0.1592384634340398,-0.15833722662759087},
+{-1.1757870220402813,-0.6426545633638234,-0.4435732327989452,-0.3554534952199262,-0.3054630192624437,-0.26865935146741116,-0.25298769531114473,-0.23577167495160012,-0.22240796675696117,-0.21167185433938585,-0.20281516219998608,-0.19536820455392956,-0.1889870054450853,-0.18344911886267568,-0.17858303933271813,-0.17427136578045577,-0.17041846268905658,-0.166937681415682,-0.16378888384702606,-0.1592224276517733,-0.1583211725526894},
+{-1.1755141194859222,-0.6424559239224763,-0.44345653604887225,-0.3553735739978805,-0.30540235938912375,-0.26861515784642265,-0.25294509637944884,-0.2357346506775322,-0.22237506377917526,-0.21164210892045787,-0.20278792394804057,-0.19534300154537831,-0.18896349119614086,-0.18342702982519654,-0.1785621707612144,-0.17425155393764769,-0.17039957533364714,-0.16691961216154638,-0.1637715419782424,-0.1592064153697592,-0.15830514110431437},
+{-1.175240993708477,-0.6422573625393273,-0.4433399136603189,-0.3552937109726422,-0.3053417478948077,-0.2685711745346815,-0.25290253631168014,-0.23569766198156827,-0.2223421941656909,-0.21161239499634021,-0.2027607157749891,-0.19531782738559045,-0.18894000477729733,-0.18340496772530912,-0.17854132837656422,-0.1742317676203342,-0.17038071291364076,-0.16690156732427042,-0.16375422406662565,-0.15919042661954919,-0.15828913232138575},
+{-1.1749676454724671,-0.6420588793121311,-0.44322336564358267,-0.35521390615749304,-0.3052811847996697,-0.2685274054723621,-0.25286001513269696,-0.2356607088929188,-0.22230935794506124,-0.21158271259740147,-0.2027335377126782,-0.195292682106615,-0.1889165462237976,-0.18338293259700578,-0.17852051221245446,-0.1742120068629589,-0.17036187546157677,-0.16688354693920004,-0.1637369301469782,-0.15917446143306435,-0.15827314624396394},
+{-1.174694075540745,-0.6418604743386052,-0.4431068920086716,-0.35513415956704897,-0.3052206701242941,-0.26848385450982803,-0.2528175328687894,-0.23562379144121692,-0.22227655514656774,-0.21155306175601396,-0.20270638979357614,-0.1952675657421139,-0.1888931155693463,-0.18336092447545127,-0.17849972230316524,-0.1741922716995319,-0.17034306301374968,-0.1668655510408179,-0.16371966025512918,-0.15915851984238216,-0.15825718291129576},
+{-1.1744202846745662,-0.6416621477152447,-0.44299049276465574,-0.3550544712138528,-0.3051602038887751,-0.2684405254031148,-0.25277508954422956,-0.2355869096555061,-0.2222437857987245,-0.2115234425036654,-0.20267927204926295,-0.19524247832474373,-0.1888697128475556,-0.18333894339445678,-0.17847895868226615,-0.17417256216370447,-0.1703242756036154,-0.16684757966464403,-0.16370241442533384,-0.159142601880081,-0.15824124236265646},
+{-1.174146273634313,-0.6414638995399553,-0.44287416792229095,-0.3549748411124849,-0.305099786114301,-0.2683974218120575,-0.2527326851855207,-0.23555006356633967,-0.22221104993095864,-0.21149385487203531,-0.20265218451257638,-0.19521741988750563,-0.18884633809379991,-0.18331698938927232,-0.1784582213843393,-0.17415287829100734,-0.1703055132662321,-0.16682963284542396,-0.16368519269365578,-0.1591267075771512,-0.1582253246372467},
+{-1.1738720431783918,-0.6412657299094437,-0.44275791749208615,-0.3548952692776659,-0.3050394168227175,-0.2683545472933311,-0.2526903198181394,-0.23551325320328687,-0.22217834757337585,-0.21146429889380514,-0.2026251272162476,-0.19519239046472592,-0.18882299134218172,-0.18329506249548544,-0.1784375104442084,-0.17413322011543997,-0.17028677603768827,-0.16681171062012723,-0.16366799509598806,-0.15911083696830275,-0.15820942977483554},
+{-1.1735975940640255,-0.6410676389208341,-0.4426417414844348,-0.3548157557234237,-0.30497909603492346,-0.2683119052967484,-0.2526479934683117,-0.2354764785970005,-0.22214567875581537,-0.21143477460126547,-0.2025981001923789,-0.19516739008941997,-0.18879967262841646,-0.18327316274785588,-0.17841682589565266,-0.17411358767167684,-0.17026806395171334,-0.16679381302363083,-0.16365082166786493,-0.15909499008543193,-0.15819355781395217},
+{-1.173322927046808,-0.6408696266707388,-0.44252563991027216,-0.35473630046476856,-0.3049188237720113,-0.2682694991605956,-0.2526057061621998,-0.23543973977796284,-0.2221130435069938,-0.21140528202721143,-0.20257110347468554,-0.19514241879529237,-0.18877638198583924,-0.1832512901828487,-0.17839616777476408,-0.17409398099467666,-0.17024937704524845,-0.16677594009147967,-0.16363367244495564,-0.1590791669610745,-0.15817770879365867},
+{-1.173048042881078,-0.6406716932559622,-0.4424096127804269,-0.35465690351661117,-0.30485860005632226,-0.26822733210932626,-0.2525634579265663,-0.23540303677681607,-0.22208044185855513,-0.2113758212049106,-0.2025441370954617,-0.1951174766165451,-0.18875311945035733,-0.1832294448360159,-0.17837553611608925,-0.17407440011989905,-0.170230715352659,-0.1667580918611158,-0.16361654746346943,-0.15906336762996887,-0.1581618827533866},
+{-1.1727729423195736,-0.6404738387728255,-0.44229366010622506,-0.3545775648936704,-0.3047984249095652,-0.26818540725048834,-0.25252124878723947,-0.23536636962473168,-0.22204787383993363,-0.2113463921656198,-0.2025172010881704,-0.19509256358657723,-0.18872988505614785,-0.18320762674218827,-0.1783549309549599,-0.1740548450817876,-0.17021207890990908,-0.16674026836657063,-0.16359944675895122,-0.1590475921234642,-0.15814607973056027},
+{-1.1724976261137687,-0.6402760633179074,-0.442177781898641,-0.35449828461160493,-0.3047382983540121,-0.2681437275708731,-0.25247907877176345,-0.2353297383522417,-0.22201533948221552,-0.21131699494488743,-0.20249029548688213,-0.19506767974037587,-0.18870667883832937,-0.18318583593856985,-0.17833435232674333,-0.17403531591602217,-0.17019346775310495,-0.16672246964637694,-0.16358237036835632,-0.15903184047704144,-0.15813029976517612},
+{-1.1722220950133373,-0.6400783669871668,-0.4420619781690913,-0.35441906268537515,-0.3046782204123719,-0.26810229593493773,-0.25243694790610505,-0.23529314299086934,-0.2219828388160785,-0.211287629574894,-0.20246342032401188,-0.1950428251116243,-0.18868350083287666,-0.1831640724611212,-0.17831380026761323,-0.1740158126580127,-0.17017488191848784,-0.1667046957366196,-0.16356531832816756,-0.15901611272259686,-0.15811454289532634},
+{-1.1719463497671647,-0.6398807498769283,-0.4419462489296997,-0.3543398991315989,-0.3046181911055328,-0.2680611150804637,-0.2523948562179825,-0.2352565835721947,-0.2219503718726692,-0.21125829608945068,-0.20243657563427675,-0.1950179997348016,-0.18866035107422974,-0.18314233634662713,-0.17829327481281965,-0.1739963353436096,-0.17015632144239135,-0.16668694667324502,-0.1635482906745267,-0.15900040889457756,-0.15809880915882957},
+{-1.171670391122003,-0.6396832120827955,-0.4418305941920071,-0.3542607939652118,-0.3045582104578308,-0.2680201876187205,-0.2523528037352172,-0.23522006012776586,-0.22191793868291398,-0.2112289945228234,-0.20240976145157674,-0.19499320364571204,-0.18863722959777363,-0.18312062763121517,-0.1782727759989342,-0.1739768840082867,-0.17013778636064103,-0.1666692224946118,-0.1635312874445134,-0.15898472902683025,-0.15808309859511027},
+{-1.1713942198236875,-0.639485753700793,-0.4417150139677215,-0.3541817472031372,-0.30449827849141897,-0.26797951603186476,-0.25231079048463556,-0.23518357268946488,-0.22188553927853505,-0.21119972490861372,-0.20238297780926828,-0.19496843687750243,-0.18861413643901415,-0.18309894635191526,-0.1782523038625321,-0.1739574586882533,-0.17011927671020288,-0.16665152323619026,-0.1635143086741877,-0.15896907315232056,-0.1580674112413334},
+{-1.1711178366162933,-0.6392883748267906,-0.44159950826945504,-0.3541027588608916,-0.3044383952300098,-0.267939102670514,-0.25226881649345145,-0.23514712128930526,-0.22185317369134339,-0.2111704872816702,-0.20235622474292825,-0.19494369946653833,-0.18859107163300237,-0.18307729254528127,-0.17823185843896994,-0.17393805941946283,-0.1701007925281104,-0.1666338489364385,-0.1634973544006506,-0.15895344130545652,-0.1580517471361773},
+{-1.1708412422429042,-0.6390910755559425,-0.44148407710922655,-0.3540238289551585,-0.30437856069627145,-0.267898949755768,-0.25222688179056263,-0.23511070595888128,-0.22182084195229024,-0.21114128167596036,-0.20232950228541569,-0.1949189914467695,-0.1885680352162602,-0.18305566624793101,-0.17821143976563292,-0.1739186862382951,-0.1700823338509423,-0.16661619963266716,-0.16348042466167456,-0.15893783352012747,-0.15803610631812504},
+{-1.1705644374447424,-0.6388938559842199,-0.44136872049987375,-0.3539449575032254,-0.30431877491384896,-0.26785905937229515,-0.25218498640336406,-0.23507432673186557,-0.22178854409488835,-0.21111210812704329,-0.2023028104729505,-0.19489431285434122,-0.1885450272240341,-0.18303406749798867,-0.17819104787965045,-0.173899339181407,-0.17006390071671618,-0.1665985753623005,-0.16346351949342974,-0.15892224983065972,-0.15802048882530073},
+{-1.1702874229618185,-0.6386967162065886,-0.44125343845382403,-0.35386614452117193,-0.30425903790628794,-0.26781943347290493,-0.25214313036115854,-0.23503798363978845,-0.22175628015028437,-0.2110829666695615,-0.20227614933960325,-0.19486966372448933,-0.1885220476912508,-0.18301249633209693,-0.17817068281717496,-0.17388001828489408,-0.1700454931618829,-0.16658097616365808,-0.16344663893397993,-0.1589066902707259,-0.15800489469524592},
+{-1.1700101995327614,-0.6384996563183627,-0.4411382309840164,-0.3537873900267581,-0.3041993496977362,-0.2677800738763416,-0.2521013136910426,-0.2350016767156511,-0.22172405015092522,-0.21105385733809356,-0.20224951892035392,-0.19484504409248515,-0.18849909665461695,-0.18299095278680255,-0.17815034461602508,-0.17386072358640448,-0.17002711122408698,-0.16656340207334352,-0.16342978302040123,-0.1588911548734373,-0.15798932396664966},
+{-1.1697327678948497,-0.638302676414586,-0.44102309810343776,-0.35370869403705285,-0.3041397103124375,-0.26774098226622556,-0.25205953642266365,-0.23496540599242977,-0.2216918541307713,-0.2110247801696481,-0.20222291925128744,-0.19482045399476178,-0.18847617415071127,-0.1829694369007946,-0.17813003331368193,-0.17384145512304627,-0.17000875494145262,-0.16654585313091275,-0.163412951789784,-0.15887564367463014,-0.1579737766778564},
+{-1.1694551287838166,-0.6381057765903719,-0.4409080398255085,-0.35363005656915547,-0.30408011977429794,-0.26770216019242454,-0.2520177985842551,-0.23492917150307235,-0.22165969212146663,-0.21099573519825654,-0.20219635036638905,-0.19479589346703108,-0.1884532802145813,-0.18294794871017928,-0.17810974894617715,-0.1738222129307232,-0.16999042435162082,-0.16652832937431583,-0.16339614528054014,-0.15886015670737308,-0.15795825286750542},
+{-1.1691772829340188,-0.6379089569403646,-0.440793056163546,-0.35355147764177985,-0.30402057810785976,-0.2676636090689293,-0.2519761002056349,-0.23489297328108805,-0.22162756415674423,-0.21096672246068238,-0.20216981230253595,-0.19477136254510086,-0.18843041488330314,-0.18292648825397606,-0.178089491552889,-0.17380299704900537,-0.16997211949305324,-0.16651083084206064,-0.1633793635302645,-0.1588446940062802,-0.15794275257366053},
+{-1.1688992310785853,-0.6377122175594074,-0.44067814713123,-0.35347295727187955,-0.30396108533760113,-0.26762533017605605,-0.25193444131584997,-0.23485681135977998,-0.22159547026952708,-0.21093774199287552,-0.20214330509559986,-0.19474686126537577,-0.18840757819218013,-0.18290505556855052,-0.1780692611703074,-0.17378380751331335,-0.16995384040344064,-0.1664933575722607,-0.16336260657615043,-0.15882925560559258,-0.15792727583496458},
+{-1.168620973949162,-0.6375155585422654,-0.44056331274232186,-0.3533944954782591,-0.3039016414891016,-0.2675873246617755,-0.25189282194499896,-0.23482068577301973,-0.22156341049342387,-0.21090879383052652,-0.20211682878049686,-0.19472238966475786,-0.18838477017894562,-0.18288365069194157,-0.1780490578372529,-0.17376464436343397,-0.16993558712118784,-0.1664759096038857,-0.16334587445656013,-0.15881384153888334,-0.15791182269073545},
+{-1.1683425122758724,-0.6373189799832328,-0.4404485530107749,-0.3533160922790817,-0.3038422465869708,-0.26754959353885255,-0.25185124212207555,-0.23478459655421702,-0.22153138486272184,-0.2108798780118839,-0.20209038339456598,-0.19469794777952742,-0.1883619908797023,-0.18286227366267838,-0.1780288815917892,-0.17374550763591756,-0.1699173596862842,-0.16645848697603682,-0.16332916721027857,-0.15879845184218055,-0.15789639317931403},
+{-1.1680638467878968,-0.6371224819771903,-0.44033386795083196,-0.3532377476926687,-0.30378290065682023,-0.2675121376910319,-0.25180970187703267,-0.23474854373785448,-0.22149939341073477,-0.21085099457193834,-0.2020639689735546,-0.1946735356463769,-0.18833924033103244,-0.18284092451765233,-0.17800873247158577,-0.17372639736952422,-0.1698991581358804,-0.1664410897279467,-0.1633124848751777,-0.15878308654821893,-0.1578809873398832},
+{-1.1677849782125236,-0.6369260646180397,-0.44021925757663993,-0.353159461738473,-0.3037236037230713,-0.26747495786780107,-0.25176820124086063,-0.2347125273572921,-0.22146743617150122,-0.2108221435486044,-0.20203758555420492,-0.19464915330284072,-0.18831651856990206,-0.18281960329557734,-0.17798861051554837,-0.17370731360259128,-0.16988098251010797,-0.16642371789828658,-0.16329582748924665,-0.15876774569222363,-0.15786560521178572},
+{-1.1675059072757286,-0.6367297279999455,-0.44010472190275784,-0.35308123443485684,-0.30366435581253626,-0.26743805469004656,-0.2517267402437966,-0.23467654744763422,-0.2214355131801682,-0.21079332497907544,-0.20201123317377778,-0.1946248007858813,-0.18829382563366437,-0.18279831003429692,-0.1779685157622488,-0.173688256373417,-0.1698628328481675,-0.1664063715272306,-0.163279195091512,-0.158752429309299,-0.15785024683364313},
+{-1.1672266347028053,-0.6365334722173852,-0.43999026094375004,-0.35300306580149154,-0.3036051569509546,-0.26740142865140726,-0.2516853189164969,-0.2346406040431006,-0.22140362447028394,-0.21076453890069757,-0.20198491186923206,-0.1946004781327808,-0.18827116155899049,-0.18277704477189616,-0.1779484482503051,-0.17366922572134413,-0.16984470918866634,-0.16638905065340737,-0.16326258772002333,-0.15873713743251727,-0.1578349122448408},
+{-1.1669471612165445,-0.636337297363962,-0.43987587471487544,-0.3529249558575529,-0.3035460071640621,-0.26736508011656923,-0.25164393728971746,-0.23460469717831955,-0.22137177007743247,-0.2107357853514138,-0.20195862167809864,-0.19457618538094223,-0.18824852638420708,-0.18275580754699305,-0.17792840801902088,-0.17365022168513988,-0.16982661157164358,-0.16637175531678494,-0.16324600541414824,-0.15872187009826177,-0.15781960148582996},
+{-1.166667487539307,-0.6361412035337661,-0.4397615632307996,-0.3528469046227105,-0.303486906478863,-0.2673290093271561,-0.2516025953949459,-0.23456882688859793,-0.22133995003594364,-0.2107070643690605,-0.20193236263736836,-0.19455192256917186,-0.18822592014618778,-0.1827345983977935,-0.17790839510637468,-0.173631244303305,-0.16980854003724133,-0.16635448555803833,-0.16322944821314067,-0.1587066273403508,-0.15780431459506872},
+{-1.1663876143918586,-0.6359451908207578,-0.439647326507016,-0.35276891211697503,-0.30342785492060287,-0.26729321639854575,-0.251561293263201,-0.23453299320811638,-0.22130816438144052,-0.21067837599184358,-0.2019061347848634,-0.1945276897341266,-0.1882033428828045,-0.18271341736287994,-0.17788840955245888,-0.1736122936157365,-0.16979049462492313,-0.16633724141620476,-0.16321291615516387,-0.15869140919337354,-0.15778905161161916},
+{-1.1661075424932879,-0.6357492593186098,-0.43953316455871594,-0.3526909783606218,-0.30336885251687207,-0.26725770132553706,-0.2515200309268302,-0.23449719617255127,-0.22127641314917312,-0.2106497202578339,-0.20187993815904193,-0.19450348691540142,-0.1881807946318439,-0.18269226448072473,-0.17786845139630714,-0.17359336966203998,-0.1697724753754244,-0.16632002293233228,-0.16319640928025692,-0.15867621569424983,-0.1577738125765329},
+{-1.1658272725620282,-0.6355534091208419,-0.4394190774019844,-0.35261310337369167,-0.3033098992946073,-0.26722246398324145,-0.2514788084172963,-0.23446143581745105,-0.22124469637442346,-0.2106210972056104,-0.20185377279725714,-0.1944793141503247,-0.18815827543151187,-0.1826711397901306,-0.17784852067696377,-0.17357447248155822,-0.16975448232814472,-0.16630283014516678,-0.16317992762675715,-0.15866104687485816,-0.1577585975284599},
+{-1.1655468053142748,-0.6353576403209491,-0.4393050650522756,-0.35253528717684546,-0.30325099528088373,-0.26718750412876346,-0.2514376257666342,-0.2344257121774973,-0.22121301409374539,-0.21059250687474673,-0.20182763873915732,-0.1944551714779621,-0.1881357853199752,-0.18265004333033374,-0.17782861743507894,-0.17355560211396792,-0.16973651552462954,-0.1662856630959233,-0.16316347123487063,-0.15864590277328716,-0.15774340650863294},
+{-1.1652661414655423,-0.6351619530127213,-0.43919112752530687,-0.35245752979029277,-0.30319214050309995,-0.2671528214037586,-0.25139648300726947,-0.23439002528950326,-0.2211813663420621,-0.21056394930369748,-0.20180153602208506,-0.19443105893718382,-0.18811332433553218,-0.18262897513973186,-0.1778087417090859,-0.17353675859956397,-0.1697185750046195,-0.16626852182540475,-0.1631470401437447,-0.15863078342306025,-0.15772823955582282},
+{-1.1649852817297788,-0.6349663472892182,-0.43907726483779363,-0.35237983123656846,-0.3031333349881642,-0.2671184153350836,-0.25135538017219616,-0.2343543751888113,-0.22114975315646745,-0.21053542453165264,-0.2017754646856389,-0.19440697656705197,-0.18809089251741185,-0.18260793525853813,-0.17778889353908056,-0.17351794197850623,-0.16970066081045942,-0.1662514063742151,-0.16313063439330833,-0.15861568886010602,-0.15771309671114153},
+{-1.164704226819616,-0.6347708232436311,-0.4389634770059132,-0.35230219153532616,-0.30307457876456567,-0.2670842853401467,-0.2513143172946535,-0.23431876191169465,-0.22111817457296112,-0.21050693259864062,-0.20174942476869973,-0.19438292440764116,-0.18806848990404035,-0.18258692372589636,-0.17776907296600086,-0.17349915229151947,-0.16968277298159506,-0.16623431678279132,-0.16311425402452073,-0.158600619120552,-0.1576979780148271},
+{-1.164422977446348,-0.6345753809692578,-0.4388497640461111,-0.3522246107088556,-0.30301587185983436,-0.2670504307262078,-0.2512732944069427,-0.23428318549411742,-0.22108663062802947,-0.21047847354387983,-0.20172341631059254,-0.1943589024974841,-0.18804611653422754,-0.18256594058093967,-0.17774928002929613,-0.17348038957875644,-0.1696649115601332,-0.16621725309201096,-0.1630978990748524,-0.1585855742385931,-0.15768288350699677},
+{-1.1641415343199117,-0.6343800205591297,-0.43873612597518097,-0.3521470887785618,-0.3029572143025945,-0.26701685069408754,-0.25123231154288206,-0.23424764597295678,-0.2210551213590506,-0.21045004740794226,-0.20169743935130668,-0.19433491087722388,-0.18802377244774604,-0.18254498586356505,-0.177729514769549,-0.17346165388120127,-0.16964707658780043,-0.16620021534345852,-0.1630815695865948,-0.15857055425097855,-0.1576678132284286},
+{-1.1638598981489814,-0.6341847421064379,-0.4386225628098792,-0.3520696257662408,-0.30289860612124286,-0.2669835443424766,-0.25119136873625436,-0.23421214338465646,-0.22102364680209519,-0.2104216542301991,-0.2016714939294033,-0.19431094958622097,-0.18800145768434362,-0.18252405961406026,-0.1777097772269869,-0.17344294523961068,-0.1696292681058864,-0.16618320357781968,-0.16306526559944956,-0.15855555919380393,-0.1576527672215633},
+{-1.1635780696410016,-0.6339895457040186,-0.4385090745678344,-0.3519922216945979,-0.3028400473438886,-0.26695051066575104,-0.2511504660211834,-0.234176677765781,-0.22099220699553257,-0.21039329405185114,-0.20164558008615785,-0.19428701866550213,-0.18797917228338434,-0.18250316187245375,-0.17769006744204674,-0.1734242636955834,-0.1696114861564162,-0.16616621783612828,-0.1630489871536014,-0.15854058910348456,-0.15763774552625875},
+{-1.163296049501831,-0.6337944314444925,-0.43839566126571583,-0.35191487658523357,-0.3027815379991914,-0.26691774856106676,-0.2511096034320204,-0.23414124915407086,-0.2209608019756324,-0.21036496691310447,-0.20161969786119371,-0.19426311815535158,-0.18795691628476163,-0.18248229267975447,-0.17767038545544978,-0.173405609289901,-0.16959373078129403,-0.16614925816066872,-0.16303273428968978,-0.15852564401614444,-0.15762274818444766},
+{-1.163013838436246,-0.6335993994209606,-0.43828232292143454,-0.3518375904612405,-0.30272307811685906,-0.2668852568288642,-0.2510687810028962,-0.23410585758560032,-0.2209294317802879,-0.21033667285432145,-0.20159384729439012,-0.19423924809671078,-0.1879346897288663,-0.18246145207509912,-0.1776507313085567,-0.17338698206453884,-0.1695760020227226,-0.16613232459190996,-0.16301650704794568,-0.15851072396695898,-0.15760777523765768},
+{-1.162731437147599,-0.633404449725969,-0.4381690595525427,-0.3517603633452495,-0.302664667725999,-0.2668530341756856,-0.2510279987686239,-0.23407050309949184,-0.22089809644829117,-0.21030841191775096,-0.20156802842825172,-0.1942154085309049,-0.18791249265695953,-0.18244064010112027,-0.17763110504303725,-0.1733683820616747,-0.16955829992360805,-0.16611541717301748,-0.16300030547045452,-0.1584958289951146,-0.15759282672954456},
+{-1.1624488463380924,-0.6332095824520536,-0.43805587117702594,-0.35168319526072267,-0.30260630685604895,-0.2668210792179728,-0.2509872567639704,-0.23403518573234194,-0.22086679601628134,-0.21028018414329352,-0.20154224130097376,-0.19419159949901044,-0.18789032510849069,-0.18241985679697237,-0.17761150669795,-0.1733498093218948,-0.16954062452592567,-0.16609853594459523,-0.16298412959689657,-0.1584809591359182,-0.15757790270107463},
+{-1.1621660667084264,-0.6330147976918461,-0.43794275781270287,-0.35160608623047196,-0.30254799553651424,-0.2667893904821632,-0.25094655502509156,-0.23399990552174543,-0.2208355305233205,-0.21025198957430646,-0.20151648595576432,-0.19416782104287833,-0.18786818712590758,-0.18239910220554378,-0.17759193631686543,-0.17333126388887976,-0.16952297587334897,-0.1660816809490946,-0.16296797946941055,-0.15846611442680825,-0.1575630031949622},
+{-1.1618830989580449,-0.6328200955376353,-0.43782971947821636,-0.3515290362783894,-0.30248973379688593,-0.26675796640953564,-0.2509058935870563,-0.23396466250675374,-0.2208043000071953,-0.21022382825039898,-0.20149076243268382,-0.19414407320430627,-0.18784607874952286,-0.18237837636699794,-0.17757239393971247,-0.1733127458033401,-0.1695053540073559,-0.1660648522282706,-0.1629518551285365,-0.15845129490618604,-0.157548128254291},
+{-1.161599943785129,-0.6326254760819872,-0.4377167561918238,-0.35145204542807207,-0.302431521667895,-0.26672680535953575,-0.2508652724862728,-0.23392945672506826,-0.22077310450704957,-0.2101957002147472,-0.20146507077383546,-0.19412035602584865,-0.18782400002191224,-0.18235767932405622,-0.1775528796088821,-0.1732942551095107,-0.16948775897206403,-0.16604804982449295,-0.16293575661587312,-0.15843650061068004,-0.15753327792345573},
+{-1.1613166018868348,-0.632430939416949,-0.43760386797220363,-0.35137511370369623,-0.3023733591801516,-0.26669590560877054,-0.25082469175851685,-0.23389428821530345,-0.2207419440614906,-0.21016760550969948,-0.20143941102087126,-0.19409666955004212,-0.1878019509842126,-0.18233701111829603,-0.1775333933667298,-0.17327579184957642,-0.16947019081125703,-0.1660312737804368,-0.16291968397353074,-0.15842173157905748,-0.15751845224513517},
+{-1.161033073958599,-0.6322364856352021,-0.43749105483836104,-0.35129824112926045,-0.3023152463641203,-0.26666526535927204,-0.2507841514397313,-0.23385915701672744,-0.22071081870959475,-0.2101395441772098,-0.2014137832152194,-0.19407301381875186,-0.1877799316786124,-0.18231637179155769,-0.17751393525491466,-0.17325735606595316,-0.16945264956726902,-0.16601452413844697,-0.1629036372428061,-0.1584069878494958,-0.15750365126397625},
+{-1.1607493606944228,-0.6320421148282218,-0.4373783168090384,-0.35122142772969767,-0.30225718324955864,-0.2666348827359144,-0.25074365156784495,-0.23382406316776994,-0.22067972849095696,-0.21011151626064972,-0.2013881873995622,-0.19404938887683798,-0.1877579421487745,-0.1822957613870635,-0.17749450531556832,-0.17323894780297877,-0.16943513528491394,-0.1659978009409535,-0.1628876164659907,-0.15839226946075513,-0.15748887502436304},
+{-1.160465462787796,-0.6318478270886256,-0.43726565390370276,-0.35114467352928,-0.3021991698684303,-0.26660475579085485,-0.250703192179067,-0.23378900670755698,-0.22064867344397854,-0.21008352180172807,-0.20136262361593182,-0.19402579476587078,-0.18773598243602763,-0.18227517994617415,-0.17747510359128071,-0.17322056710211342,-0.16941764800707304,-0.16598110423057122,-0.16287162168455893,-0.15837757645090988,-0.15747412357051616},
+{-1.1601813809304673,-0.6316536225084164,-0.43715306614159033,-0.3510679785530506,-0.30214120625138463,-0.2665748825088663,-0.25066277331085374,-0.2337539876755308,-0.2206176536088904,-0.21005556084394783,-0.2013370919065025,-0.194002231529538,-0.18771405258342355,-0.18225462751231447,-0.17745573012414084,-0.173202214009045,-0.1694001877777609,-0.16596443404997885,-0.1628556529402445,-0.15836290885915716,-0.1574593969471394},
+{-1.1598971158127611,-0.6314595011792097,-0.4370405535429267,-0.35099134282664224,-0.30208329243076903,-0.2665452608057777,-0.25062239500083905,-0.23371900611192586,-0.22058666902604784,-0.21002763343109265,-0.20131159231481277,-0.19397869921206734,-0.18769215263558792,-0.18223410412895547,-0.17743638495824143,-0.17318388856651978,-0.1693827546417026,-0.16594779044222818,-0.16283971027669253,-0.15834826672634605,-0.15744469520007343},
+{-1.1596126681239962,-0.6312654631930794,-0.43692811612701554,-0.35091476637501984,-0.3020254284376982,-0.2665158885352099,-0.25058205728685223,-0.23368406205588244,-0.22055571973482913,-0.20999973960674012,-0.20128612488270647,-0.1939551978577576,-0.18767028263475538,-0.18221360983892865,-0.17741706813539082,-0.17316559081841376,-0.16936534864291275,-0.16593117345198394,-0.1628237937362904,-0.15833365009034495,-0.1574300183749493},
+{-1.1593280385520135,-0.6310715086418082,-0.43681575391410377,-0.35083824922433493,-0.3019676143032619,-0.2664867634870376,-0.25054176020686114,-0.23364915554793342,-0.22052480577591638,-0.2099718794145744,-0.20126068965383936,-0.193931727509856,-0.18764844262569724,-0.18219314468554515,-0.17739777969942594,-0.17314732080928152,-0.16934796982622302,-0.1659145831198252,-0.16280790336028517,-0.1583190589923369,-0.15741536651691845},
+{-1.159043227783581,-0.6308776376170702,-0.4367034669243193,-0.3507617914001848,-0.3019098500605253,-0.2664578833925937,-0.2505015038002405,-0.23361428662825645,-0.22049392719013383,-0.20994405289825835,-0.2012352866719489,-0.19390828821409656,-0.18762663265223978,-0.1821727087128835,-0.17737851969376095,-0.17312907858377713,-0.1693306182359784,-0.1658980194918378,-0.16279203919404495,-0.15830449347255993,-0.15740073967243262},
+{-1.1587582365042692,-0.630683850210616,-0.4365912551785023,-0.35068539292911893,-0.30185213574175407,-0.26642924592851003,-0.2504612881043613,-0.23357945533743418,-0.22046308401777281,-0.20991626010215825,-0.2012099159794971,-0.19388488001366966,-0.1876048527581169,-0.1821523019641873,-0.17735928816182067,-0.17311086418588673,-0.169313293916467,-0.16588148260979096,-0.16277620127842596,-0.15828995357007258,-0.15738613788717615},
+{-1.1584730653981197,-0.6304901465140524,-0.4364791186968855,-0.35060905383725327,-0.3017944713796794,-0.26640084871483793,-0.2504211131593195,-0.23354466171617716,-0.220432276300496,-0.2098885010711129,-0.20118457762165676,-0.1938615029542703,-0.1875831029894357,-0.1821319244841284,-0.1773400851483551,-0.1730926776612165,-0.16929599691399133,-0.16586497251793375,-0.1627603896577341,-0.15827543932758203,-0.15737156120924212},
+{-1.1581877151478963,-0.6302965266188689,-0.43636705750048144,-0.35053277415119766,-0.3017368570070076,-0.26637268932316616,-0.25038097900313616,-0.2335099058054837,-0.22040150407855208,-0.20986077584966978,-0.2011592716404813,-0.19383815708039265,-0.1875613833894434,-0.1821115763167036,-0.17732091069607137,-0.1730745190540972,-0.16927872727236348,-0.1658484892605827,-0.16274460437533733,-0.1582609507851025,-0.15735700968379618},
+{-1.1579021864355532,-0.6301029906165496,-0.4362550716105744,-0.3504565538985638,-0.30167929265573434,-0.2663447652742761,-0.2503408856766356,-0.23347518764644448,-0.2203707673948223,-0.20983308448182925,-0.20113399808110444,-0.1938148424375754,-0.18753969400463788,-0.18209125750670552,-0.17730176485011384,-0.17305638841036952,-0.16926148503805294,-0.16583203288119108,-0.16272884547453614,-0.15824648798433927,-0.15734248335829548},
+{-1.1576164799413995,-0.6299095385985467,-0.43614316104830486,-0.35038039310588687,-0.301621778360456,-0.2663170740424903,-0.2503008332195904,-0.23344050728110943,-0.22034006629017,-0.20980542701422777,-0.20110875698794217,-0.19379155907182266,-0.18751803487927177,-0.18207096809918966,-0.17728264765500157,-0.17303828577477276,-0.16924427025490374,-0.16581560342382318,-0.16271311300011249,-0.1582320509670332,-0.15732798228071943},
+{-1.1573305963445701,-0.6297161706560228,-0.4360313258353923,-0.35030429180076794,-0.3015643141540423,-0.26628961306031584,-0.25026082167129715,-0.23340586475018554,-0.22030940080691508,-0.20977780349045005,-0.2010835484045792,-0.19376830702674752,-0.1874964060593456,-0.18205070813765545,-0.17726355915554848,-0.17302021119387945,-0.16922708296991118,-0.16579920093330358,-0.16269740699477708,-0.15821763977360703,-0.15731350649737763},
+{-1.157044536322923,-0.6295228868803342,-0.435919565993089,-0.3502282500110425,-0.30150690007055303,-0.2662623797157444,-0.2502208510723598,-0.2333712600960851,-0.22027877098791748,-0.20975021395702953,-0.2010583723766075,-0.19374508634954424,-0.18747480759092383,-0.1820304776684516,-0.177244499396366,-0.1730021647132105,-0.16920992322818762,-0.16578282545305,-0.162681727503454,-0.158203254447141,-0.1572990560560612},
+{-1.1567583005534043,-0.6293296873629419,-0.435807881543834,-0.35015226776431163,-0.3014495361437284,-0.26623537136103437,-0.250180921463496,-0.23333669336091845,-0.22024817687479725,-0.20972265845929172,-0.2010332289478427,-0.1937218970856378,-0.18745323951966242,-0.18201027673637427,-0.17722546842304965,-0.1729841463787949,-0.16919279107576557,-0.16576647702883207,-0.16266607457125914,-0.15818889503008293,-0.157284631006263},
+{-1.156471889711355,-0.6291365721949376,-0.4356962725094107,-0.35007634508937,-0.3013922224079444,-0.26620858530882074,-0.25014103288568634,-0.23330216458685626,-0.22021761851129185,-0.20969513704324072,-0.20100811816396202,-0.19369873928062376,-0.18743170189155833,-0.1819901053870474,-0.17720646628064785,-0.17296615623672906,-0.16917568655842175,-0.1657501557042167,-0.16265044824154629,-0.15817456156512577,-0.1572702313935963},
+{-1.1561853044711636,-0.6289435414673612,-0.43558473891242855,-0.35000048201426637,-0.30133495889682393,-0.2661820188383537,-0.2501011853807178,-0.2332676738168722,-0.22018709593973895,-0.20966764975484153,-0.20098304006991796,-0.193675612980865,-0.1874101947531308,-0.1819699636663792,-0.1771874930147348,-0.1729481943339799,-0.169158609722178,-0.16573386152507297,-0.16263484856026622,-0.15816025409417023,-0.15725585726859492},
+{-1.1558985455055613,-0.6287505952711054,-0.4354732807751063,-0.3499246785675503,-0.3012777456457094,-0.266155669197051,-0.25006137898862946,-0.23323322109270705,-0.22015660920364866,-0.209640196639306,-0.2009579947103397,-0.19365251823185048,-0.18738871814992564,-0.18194985161933275,-0.17716854867065024,-0.17293026071667228,-0.1691415606131983,-0.16571759453544033,-0.16261927557158273,-0.15814597265985597,-0.15724150867755426},
+{-1.1556116134866166,-0.6285577336972015,-0.4353618981203802,-0.3498489347784499,-0.30122058268964125,-0.266129533600882,-0.2500216137525051,-0.23319880645882662,-0.22012615834799476,-0.20961277774460285,-0.20093298213211241,-0.19362945508115814,-0.18736727213050486,-0.18192976929280036,-0.17714963329618527,-0.17291235543290284,-0.16912453927881543,-0.16570135478167813,-0.1626037293209528,-0.15813171730658837,-0.15722718567126392},
+{-1.1553245090847852,-0.6283649568368439,-0.43525059097137486,-0.349773250675927,-0.30116347006362076,-0.2661036092402149,-0.24998188971280655,-0.23316442995732345,-0.22009574341474192,-0.20958539311576985,-0.20090800237900552,-0.19360642357429825,-0.18734585673969661,-0.1819097167323882,-0.17713074693457642,-0.17289447852878936,-0.16910754576507614,-0.16568514230725384,-0.16258820985460076,-0.15811748807637827,-0.1572128882977708},
+{-1.155037232969402,-0.6281722647808383,-0.435139359351119,-0.34969762628988477,-0.3011064078027985,-0.2660778932779593,-0.2499422069135413,-0.23313009163173604,-0.2200653644497308,-0.20955804280096402,-0.20088305549825947,-0.19358342375799253,-0.18732447202558333,-0.1818896939847292,-0.1771118896351247,-0.17287663005217624,-0.16909058011770028,-0.16566895715985552,-0.16257271721761413,-0.15810328501344983,-0.15719861660547352},
+{-1.1547497858087432,-0.6279796576198091,-0.43502820328328795,-0.34962206164950516,-0.30104939594231084,-0.2660523828527239,-0.24990256539569344,-0.23309579152630633,-0.22003502149633647,-0.2095307268453297,-0.2008581415353774,-0.19356045567839786,-0.18730311803379607,-0.181869701096268,-0.1770930614424735,-0.17285881004975678,-0.16907364238427647,-0.1656527993828547,-0.16255725145645172,-0.15808910816212673,-0.15718437064458257},
+{-1.1544621682695464,-0.6277871354447448,-0.43491712279141836,-0.3495465567848264,-0.30099243451858726,-0.26602707508408585,-0.24986296520303242,-0.23306152968450888,-0.22000471459996973,-0.2095034452971163,-0.20083326053591932,-0.19353751938323782,-0.1872817948132841,-0.18184973811416683,-0.1770742624039201,-0.17284101857077516,-0.16905673261187104,-0.16563666902388618,-0.16254181261618683,-0.1580749575651872,-0.15717015046488214},
+{-1.1541743810178406,-0.6275946983461953,-0.43480611789919976,-0.34947111172630585,-0.3009355235679507,-0.26600196706850454,-0.24982340637784262,-0.23302730615069223,-0.21997444380610887,-0.2094761982033546,-0.20080841254737436,-0.1935146149194047,-0.1872605024106626,-0.18182980508508706,-0.17705549256783115,-0.17282325566260326,-0.16903985084767115,-0.1656205661278065,-0.1625264007441274,-0.15806083326845055,-0.15715595611566613},
+{-1.1538864247178608,-0.6274023464150389,-0.43469518863119916,-0.34939572650423756,-0.3008786631268201,-0.2659770558887935,-0.24978388896321135,-0.23299312096905567,-0.21994420915887147,-0.20944898561070957,-0.20078359761465236,-0.1934917423318936,-0.18723924087196053,-0.18180990205542713,-0.17703675197970625,-0.17280552137276572,-0.16902299713828128,-0.16560449074107453,-0.16251101588587602,-0.15804673531485847,-0.15714178764646292},
+{-1.1535983000330514,-0.6272100797412747,-0.4345843350102072,-0.3493204011488018,-0.3008218532301079,-0.26595233860781065,-0.24974441300224015,-0.23295897418326206,-0.21991401070442862,-0.20942180756654594,-0.2007588157845639,-0.19346890166979946,-0.18721801024629414,-0.1817900290725376,-0.17701804068701676,-0.1727878157504108,-0.16900617153057595,-0.165588442909268,-0.16249565808860567,-0.1580326637501841,-0.1571276451075576},
+{-1.1533100076255849,-0.6270178984164083,-0.43447355706272006,-0.34924513569249527,-0.3007650939162545,-0.2659278122774893,-0.24970497854050677,-0.23292486584012195,-0.21988384848940967,-0.20939466412011143,-0.20073406710515584,-0.19344609297975168,-0.1871968105804811,-0.18177018618436236,-0.17699935873862316,-0.17277013884382342,-0.1689893740731101,-0.1655724226799613,-0.16248032739989426,-0.1580186186193835,-0.15711352854963323},
+{-1.1530215481566266,-0.6268258025304831,-0.43436285481289616,-0.34916993016520337,-0.300708385222098,-0.26590347393715064,-0.24966558562019614,-0.23289079598326623,-0.21985372255934976,-0.20936755531822726,-0.20070935162246428,-0.19342331630904397,-0.18717564192244396,-0.18175037343879907,-0.17698070618152784,-0.1727524907024609,-0.16897260481361442,-0.16555643009919407,-0.1624650238658205,-0.15800459996833638,-0.15709943802331594},
+{-1.1527329222854146,-0.6266337921739105,-0.43425222828516397,-0.34909478459880816,-0.3006517271848921,-0.2658793206137595,-0.24962623428624298,-0.23285676465847516,-0.21982363296153906,-0.20934048120806992,-0.20068466938383978,-0.1934005717047924,-0.18715450432024383,-0.18173059088252685,-0.17696208306463745,-0.17273487137513754,-0.16895586379937555,-0.16554046521363475,-0.16244974753439578,-0.1579906078421871,-0.15708537357777885},
+{-1.1524441306710784,-0.6264418674373537,-0.4341416775053446,-0.3490196990254546,-0.3005951198422707,-0.2658553493288558,-0.24958692458266185,-0.23282277191126965,-0.21979357974210956,-0.20931344183888,-0.20066002043576248,-0.19337785921492312,-0.18713339782099325,-0.18171083856432801,-0.17694348943569693,-0.17271728091089145,-0.16893915107832314,-0.16552452807104956,-0.1624344984541004,-0.15797664228742292,-0.1570713352654174},
+{-1.1521551739707032,-0.6262500284109915,-0.4340312024984172,-0.3489446734767121,-0.3005385632311217,-0.26583155709455397,-0.24954765655405708,-0.23278881778663063,-0.219763562948188,-0.20928643725882523,-0.20063540482637876,-0.19335517888613296,-0.18711232247351006,-0.1816911165319972,-0.17692492534307647,-0.17269971935905204,-0.16892246669884514,-0.16550861871726852,-0.16241927666974476,-0.15796270334890394,-0.15705732313593757},
+{-1.151866052840555,-0.6260582751850663,-0.43392080329014604,-0.34886970798504535,-0.3004820573898783,-0.2658079409174299,-0.2495084302457542,-0.23275490233148943,-0.2197335826271143,-0.20925946751593472,-0.2006108226029255,-0.1933325307675915,-0.18709127832539352,-0.18167142483360266,-0.17690639083624404,-0.17268218676942126,-0.16890581070872912,-0.1654927372008892,-0.1624040822339481,-0.15794879107244952,-0.15704333724055886},
+{-1.1515767679357758,-0.6258666078500905,-0.4338104799061533,-0.3487948025824714,-0.30042560235697735,-0.26578449780238245,-0.24946924570197737,-0.2327210255911858,-0.21970363882639532,-0.2092325326586213,-0.20058627381291316,-0.1933099149049866,-0.18707026542447025,-0.18165176351726586,-0.17688788596300498,-0.17266468319136408,-0.1688891831557271,-0.16547688356862622,-0.16238891518970178,-0.15793490549942746,-0.15702937762995361},
+{-1.1512873199100664,-0.6256750264960278,-0.4337002323730452,-0.3487199573025741,-0.3003691981711256,-0.26576122474956065,-0.24943010296871648,-0.23268718761227092,-0.219673731594348,-0.20920563273598702,-0.20056175850485047,-0.19328733134820908,-0.18704928382003772,-0.18163213263166966,-0.17686941077379004,-0.17264720867541428,-0.16887258408948824,-0.1654610578681428,-0.16237377558922006,-0.1579210466664378,-0.15701544435604475},
+{-1.1509977094161297,-0.6254835312132947,-0.4335900607166572,-0.3486451721772177,-0.3003128448711294,-0.2657381187612202,-0.2493910020903023,-0.23265338844165484,-0.21964386097855382,-0.20917876779662947,-0.20053727672537036,-0.19326478014364668,-0.18702833355901305,-0.18161253222501017,-0.1768509653169943,-0.17262976327113932,-0.16885601355748747,-0.16544526014755334,-0.16235866347990324,-0.15790721459816126,-0.15700153746989542},
+{-1.1507079371057287,-0.625292122091972,-0.43347996496372687,-0.34857044724140707,-0.30025654249491396,-0.2657151768387713,-0.24935194311368747,-0.23261962812577153,-0.21961402702793364,-0.20915193788957964,-0.20051282852406516,-0.19324226134063593,-0.1870074146915961,-0.18159296234753697,-0.176832549642981,-0.1726123470302383,-0.16883947160993884,-0.16542949045555133,-0.1623435789103418,-0.157893409306066,-0.15698765702171258},
+{-1.1504180036290634,-0.6251007992221975,-0.4333699451411164,-0.3484957825271344,-0.3002002910829731,-0.265692395984761,-0.2493129260844107,-0.2325859067120959,-0.21958422979133374,-0.20912514306427354,-0.2004884139486265,-0.19321977498695375,-0.18698652726558862,-0.18157342304739288,-0.17681416380154147,-0.17259496000119867,-0.16882295829390515,-0.1654137488398213,-0.16232852193050817,-0.15787963077884015,-0.15697380306437125},
+{-1.1501279096353532,-0.6249095626937784,-0.433260001275638,-0.3484211780689854,-0.30014409067397096,-0.26566977320782925,-0.24927395104820604,-0.2325522242475344,-0.219554469316666,-0.20909838336968178,-0.200464033047961,-0.19319732113126875,-0.1869656713301211,-0.18155391437349877,-0.17679580784307802,-0.17257760223694518,-0.16880647365998058,-0.16539803534936226,-0.1623134925882468,-0.15786587898458038,-0.15695997564864328},
+{-1.1498376557727497,-0.6247184125969998,-0.4331501333944914,-0.3483466339005936,-0.3000879413084654,-0.2656473055180193,-0.2492350180513334,-0.23251858077959398,-0.21952474565427238,-0.20907165885510182,-0.20043968587017602,-0.1931748998213081,-0.18694484693388347,-0.181534436375415,-0.17677748181726116,-0.17256027378650884,-0.168790017756006,-0.1653823500323952,-0.16229849093374682,-0.15785215387866458,-0.15694617482559536},
+{-1.149547242688067,-0.6245273490217365,-0.4330403415253805,-0.34827215005659085,-0.3000318430258915,-0.2656249899357519,-0.24919612714027295,-0.2324849763565986,-0.21949505885320875,-0.2090449695702965,-0.2004153724649349,-0.1931525111066854,-0.18692405412670254,-0.1815149891032135,-0.17675918577572602,-0.17254297470240942,-0.1687735906330694,-0.16536669293833484,-0.16228351701828814,-0.15783845542498298,-0.15693240064891611},
+{-1.1492566710271674,-0.6243363720581137,-0.4329306256958567,-0.34819772657169423,-0.29997579586650147,-0.2656028234853878,-0.24915727836177481,-0.23245141102565725,-0.219465408962769,-0.2090183155654941,-0.20039109288087076,-0.19313015503567854,-0.186903292958025,-0.18149557260600702,-0.1767409197682568,-0.1725257050350706,-0.16875719233880915,-0.16535106411643596,-0.16226857088846813,-0.1578247836352915,-0.15691865316754416},
+{-1.1489659414344509,-0.6241454817959262,-0.4328209859338621,-0.34812336348030115,-0.299919799870743,-0.2655808031999882,-0.24911847176348445,-0.23241788483583292,-0.21943579603318852,-0.2089916968897505,-0.20036684716746578,-0.1931078316576169,-0.18688256347708432,-0.18147618693483736,-0.176722683846684,-0.1725084648362234,-0.16874082292424575,-0.16533546361623763,-0.162253652597947,-0.1578111386364256,-0.15690493243616288},
+{-1.1486750545537046,-0.6239546783250667,-0.43271142226732806,-0.34804906081800624,-0.2998638550795256,-0.26555892612477194,-0.24907970739098317,-0.2323843978346396,-0.21940622011381095,-0.20896511359313052,-0.2003426353730795,-0.19308554102100572,-0.18686186573239283,-0.18145683213813513,-0.17670447806133893,-0.1724912541568422,-0.16872448243835692,-0.16531989148695558,-0.1622387621942103,-0.1577975207595621,-0.1568912385044925},
+{-1.1483840110271384,-0.6237639617351896,-0.4326019347250778,-0.3479748186194662,-0.2998079615343556,-0.2655371893129086,-0.24904098529318475,-0.23235095007153816,-0.21937668125692866,-0.2089385657266014,-0.20031845754991906,-0.19306328317620824,-0.18684119977655556,-0.18143750826767047,-0.17668630246537376,-0.1724740730501395,-0.1687081709313354,-0.16530434777983416,-0.1622238997291845,-0.15778393065945906,-0.15687757142565673},
+{-1.1480928114959852,-0.6235733321163277,-0.4324925233350214,-0.34790063692111417,-0.29975211927561674,-0.26551558983191015,-0.24900230551526903,-0.23231754159513684,-0.2193471795107449,-0.20891205333927587,-0.2002943137448696,-0.19304105817174388,-0.18682056565768335,-0.18141821537282965,-0.17666815710958517,-0.172456921566301,-0.16869188845353733,-0.16528883254241578,-0.16220906525333234,-0.15777036944749767,-0.15686393125210785},
+{-1.1478014566000994,-0.6233827895578496,-0.43238318812674237,-0.34782651575841683,-0.29969632834523097,-0.2654941247609415,-0.24896366810666137,-0.2322841724542286,-0.21931771492809204,-0.20888557648299866,-0.20027020400932471,-0.19301886605751406,-0.1867999634272195,-0.18139895350491386,-0.176650042045857,-0.17243979975806667,-0.16867563505455507,-0.16527334582765008,-0.1621942588174612,-0.15775683884183422,-0.15685031803544192},
+{-1.1475099469786567,-0.6231923341499979,-0.43227392912889684,-0.3477524551671749,-0.2996405887846514,-0.26547279119176537,-0.24892507311508538,-0.23225084269838092,-0.2192882875579727,-0.20885913520687893,-0.20024612839374356,-0.1929967068833207,-0.18677939313527858,-0.1813797227151035,-0.17663195732661308,-0.17242270767745893,-0.16865941078518532,-0.1652578876844899,-0.1621794804729575,-0.15774334131054246,-0.15683673182751434},
+{-1.1472182832695133,-0.6230019659821693,-0.4321647463710363,-0.3476784551844361,-0.29958490063657806,-0.2654515862343274,-0.24888652058806926,-0.23221755237749875,-0.21925889745331872,-0.20883272956250565,-0.20022208694787835,-0.1929745806995129,-0.1867588548329806,-0.18136052305459316,-0.17661390300422042,-0.1724056453776548,-0.1686432156960116,-0.16524245816429683,-0.16216473027062506,-0.1577298802151681,-0.15682317268258572},
+{-1.146926466109269,-0.622811685144276,-0.4320556398827442,-0.34760451584635277,-0.29952926394310353,-0.2654305070104961,-0.24884801057404005,-0.23218430154122416,-0.21922954466505473,-0.2088063596013967,-0.20019807972290593,-0.1929524875567168,-0.18673834857210636,-0.1813413545746414,-0.17659587913253105,-0.1723886129106269,-0.16862704983823207,-0.16522705731876286,-0.16215000826261416,-0.15771645992359495,-0.15680964065174763},
+{-1.1466344961335082,-0.622621491726008,-0.4319466096933162,-0.34753063719007216,-0.29947367874638786,-0.2654095506625289,-0.24880954312026304,-0.23215109023984226,-0.2192002292437607,-0.20878002537297746,-0.20017410676859626,-0.19293042750328127,-0.18671787440289833,-0.18132221732601295,-0.17657788576353894,-0.17237161032844028,-0.1686109132614675,-0.16521168519786045,-0.16213531449992757,-0.15770308589432602,-0.15679613578777563},
+{-1.1463423739767418,-0.6224313858168067,-0.4318376558338599,-0.34745681925347327,-0.29941814508994113,-0.2653887143487559,-0.24877111827773746,-0.2321179185238833,-0.21917095124328156,-0.20875372693126693,-0.20015016813746556,-0.19290840059321823,-0.18669743237953185,-0.18130311136308563,-0.17655992295090428,-0.17235463768609094,-0.16859480601921462,-0.1651963418552711,-0.162120649035856,-0.15768976473209761,-0.1567826581443974},
+{-1.14605010027217,-0.6222413675059801,-0.43172877833330503,-0.34738306207252023,-0.2993626630156392,-0.26536799524275523,-0.24873273609309265,-0.23208478644290054,-0.21914171071338018,-0.20872746432463174,-0.20012626387899957,-0.19288640687441472,-0.18667702255048368,-0.1812840367353168,-0.17654199074735288,-0.17233769503322804,-0.16857872815973352,-0.16518102733951423,-0.1621060119205353,-0.15767650419287804,-0.15676920777255532},
+{-1.1457576756523213,-0.6220514368833037,-0.4316199772227485,-0.3473093656855184,-0.2993072325673296,-0.26534739054291734,-0.24869439661575043,-0.23205169404844028,-0.21911250770723,-0.20870123760597892,-0.20010239404592411,-0.19286444639902456,-0.1866566449691902,-0.1812649934960504,-0.17652408920664442,-0.17232078242500037,-0.16856267973562566,-0.1651657417048753,-0.16209140320687965,-0.1576633131628391,-0.15675578472488993},
+{-1.145465100747952,-0.6218615940383838,-0.431511252532939,-0.34723573013051023,-0.29925185378920816,-0.26532689746224136,-0.24865609989500825,-0.2320186413912424,-0.2190833422773366,-0.20867504682729532,-0.2000785586890821,-0.19284251921844842,-0.1866362996890807,-0.18124598169752204,-0.17650621838334501,-0.172303899914116,-0.16854666079855463,-0.16515048500224339,-0.1620768229475793,-0.1576502015917498,-0.15674238905494775},
+{-1.1451723761894446,-0.6216718390607738,-0.43140260429500543,-0.3471621554458615,-0.2991965267247316,-0.26530651323855636,-0.24861784598003211,-0.23198562852295979,-0.21905421447598528,-0.2086488920401557,-0.20005475786031823,-0.19282062538438538,-0.1866159867615842,-0.18122700139293713,-0.1764883783316833,-0.1722870475542173,-0.1685306714004291,-0.16513525728512235,-0.1620622711953743,-0.1576371803960228,-0.15672902081564288},
+{-1.14487950260561,-0.6214821720397179,-0.43129403253985643,-0.3470886416698491,-0.29914125141713654,-0.26528623512834315,-0.2485796349200733,-0.23195265549498245,-0.21902512435629617,-0.20862277329669965,-0.20003099161155902,-0.1927987649484315,-0.18659570624074817,-0.18120805263501794,-0.17647056910550418,-0.17227022539817582,-0.16851471159281672,-0.1651200586056376,-0.16204774800192823,-0.1576242613341705,-0.15671568005889114},
+{-1.1445864806242554,-0.6212925930650854,-0.4311855372992852,-0.3470151888414037,-0.2990860279119545,-0.26526606041039,-0.24854146676629796,-0.23191972235919067,-0.2189960719706825,-0.20859669064993724,-0.20000725999585356,-0.19277693796361461,-0.18657545817941923,-0.18118913547826665,-0.17645279076010922,-0.17225343350103017,-0.16849878142806318,-0.1651048890163409,-0.16203325342296893,-0.1576114568644087,-0.15670236683898509},
+{-1.1442933108723086,-0.6211031022258684,-0.4310771186047191,-0.34694179699897987,-0.29903085625311476,-0.26524598638672714,-0.24850334156676013,-0.23188682916750736,-0.21896705737256994,-0.20857064415145743,-0.1999835630643041,-0.19275514448117193,-0.18655524263061096,-0.18117024997440012,-0.17643504334886373,-0.17223667191490932,-0.16848288095846797,-0.1650897485710381,-0.16201878750864296,-0.15759877997927418,-0.15668908120763803},
+{-1.1439999939752106,-0.6209136996116982,-0.43096877648837406,-0.3468684661825385,-0.2989757364860779,-0.2652260103809283,-0.2484652593725265,-0.23185397597201884,-0.21893808061538067,-0.20854463385443722,-0.19995990087152293,-0.1927333845548631,-0.1865350596487545,-0.18115139617794895,-0.17641732692939271,-0.17221994069458546,-0.168467010236391,-0.16507463732254735,-0.1620043503146782,-0.15758624404626076,-0.15667582321821527},
+{-1.143706530557525,-0.6207243853120197,-0.4308605109820789,-0.3467951964309606,-0.2989206686558994,-0.26520612974261226,-0.24842722023270625,-0.23182116282539766,-0.21890914175209275,-0.20851865981132534,-0.19993627346837783,-0.1927116582365329,-0.1865149092868883,-0.18113257414289308,-0.17639964155537413,-0.17220323989378983,-0.16845116931465398,-0.1650595553242411,-0.16198994189319293,-0.1575738626257852,-0.15666259292394003},
+{-1.1434129212431063,-0.6205351594162565,-0.4307523221187637,-0.3467219877848322,-0.29886565280714805,-0.26518634184435186,-0.2483892241990162,-0.2317883897803732,-0.218880240836949,-0.20849272207627223,-0.1999126809092111,-0.19268996558131946,-0.18649479160124116,-0.18111378392375244,-0.1763819872830723,-0.172186569568197,-0.16843535824657607,-0.16504450263121484,-0.16197556229817067,-0.15756164930891714,-0.15664939037883485},
+{-1.1431191666539355,-0.6203460220134716,-0.4306442099308079,-0.3466488402834358,-0.29881068898646035,-0.2651666440821643,-0.24835127132170953,-0.23175565689041377,-0.21885137792372333,-0.2084668207016911,-0.1998891232470008,-0.19266830664189882,-0.1864747066442618,-0.18109502557511448,-0.1763643641677355,-0.17216992977011714,-0.16841957708381372,-0.16502947929561174,-0.16196121158483479,-0.1575496175482911,-0.1566362156359169},
+{-1.1428252674116113,-0.6201569731933514,-0.4305361744511238,-0.34657575396737883,-0.2987557772391902,-0.26514703388026817,-0.24831336165118856,-0.23172296420779404,-0.21882255306585208,-0.2084409557410929,-0.19986560053529345,-0.1926466814719774,-0.18645465447137255,-0.18107629915134282,-0.17634677226631368,-0.1721533205554806,-0.1684038258815974,-0.16501448537389862,-0.16194688980648664,-0.15753778050623168,-0.1566230687487682},
+{-1.142531224136265,-0.619968013045078,-0.43042821571307854,-0.34650272887732925,-0.2987009176122548,-0.26512750868413804,-0.24827549523862658,-0.23169031178686694,-0.21879376631886416,-0.2084151272483723,-0.19984211282854503,-0.19262509012642326,-0.18643463513767955,-0.18105760470716703,-0.17632921163471593,-0.17213674197822115,-0.16838810469273469,-0.16499952091858816,-0.161932597017298,-0.15752615091220434,-0.15660994977092102},
+{-1.1422370374471296,-0.6197791416579399,-0.43032033374999656,-0.3464297650538306,-0.2986461101513953,-0.265108065970054,-0.2482376721343904,-0.23165769968093386,-0.21876501773590462,-0.20838933527723924,-0.19981866018002137,-0.1926035326600335,-0.1864146486990812,-0.18103894229809114,-0.17631168232979988,-0.17212019409333124,-0.16837241357121968,-0.16498458598510268,-0.16191833327363625,-0.15751474093346118,-0.1565968587577551},
+{-1.141942707962544,-0.6195903591214744,-0.430212528595721,-0.34635686253844256,-0.29859135490358213,-0.2650887032375664,-0.24819989239079732,-0.23162512794383971,-0.2187363073718842,-0.2083635798827288,-0.19979524264549298,-0.19258200912766554,-0.1863946952102573,-0.18102031197960144,-0.1762941844077197,-0.1721036769564961,-0.1683567525701406,-0.16496968062932993,-0.16190409862801047,-0.1575035620643277,-0.15658379576180081},
+{-1.1416482362992717,-0.6194016655247161,-0.4301048002840204,-0.3462840213721847,-0.29853665191565426,-0.26506941801315165,-0.24816215605960323,-0.23159259663021814,-0.2187076352815822,-0.20833786111779773,-0.19977186027806582,-0.19256051958462095,-0.18637477472707786,-0.18100171380779528,-0.1762767179265161,-0.17208719062228894,-0.16834112174504057,-0.16495480490479508,-0.16188989313729607,-0.15749262502496464,-0.1565707608400153},
+{-1.1413536230734742,-0.6192130609570299,-0.42999714884900797,-0.346211241596432,-0.2984820012348486,-0.2650502078526138,-0.24812446319117498,-0.2315601057933776,-0.21867900151944042,-0.20831217903735322,-0.1997485131324659,-0.1925390640862581,-0.18635488730491545,-0.1809831478375763,-0.17625928294168958,-0.17207073514507698,-0.16832552114950872,-0.16493995886795432,-0.16187571685582114,-0.1574819396851126,-0.15655775404350436},
+{-1.141058868900135,-0.619024545507866,-0.4298895743254043,-0.3461385232538916,-0.29842740290956016,-0.26503107033557427,-0.24808681383825615,-0.23152765548952203,-0.21865040614225606,-0.20828653369669325,-0.1997252012662578,-0.19251764269026594,-0.1863350330020701,-0.1809646141260579,-0.17624187951307135,-0.17205431058222587,-0.16830995083919476,-0.16492514257437918,-0.16186156983976474,-0.15747151499745016,-0.15654477543153433},
+{-1.1407639743932805,-0.6188361192662342,-0.4297820767475713,-0.34606586638595616,-0.298372856986699,-0.2650120030734193,-0.24804920805167185,-0.2314952457726953,-0.21862184920340155,-0.20826092514971606,-0.19970192473237702,-0.1924962554511218,-0.1863152118722624,-0.18094611272803007,-0.1762245076965705,-0.17203791698752013,-0.16829441086809283,-0.16491035607946714,-0.16184745214491159,-0.15746135894668,-0.156531825056355},
+{-1.1404689401653805,-0.6186477823214922,-0.42967465615060974,-0.3459932710357805,-0.29831836351491603,-0.26499300370322487,-0.24801164588536295,-0.2314628766984228,-0.21859333075947873,-0.2082353534530661,-0.19967868358843077,-0.19247490242711507,-0.18629542397391674,-0.1809276437020415,-0.17620716755105192,-0.17202155441776412,-0.1682789012919983,-0.1648955994399195,-0.16183336382604097,-0.1574514785177712,-0.15651890297398197},
+{-1.1401737668285161,-0.6184595347629873,-0.4295673125697732,-0.3459207372451374,-0.2982639225414907,-0.2649740698892451,-0.2479741273902505,-0.23143054832163656,-0.21856485086502886,-0.20820981866016197,-0.19965547788883242,-0.19245358367358278,-0.18627566936255135,-0.18090920710375258,-0.17618985913327734,-0.17200522292760212,-0.16826342216557322,-0.16488087271085305,-0.1618193049397476,-0.15744187967113632,-0.15650600923984825},
+{-1.139878454993438,-0.6182713766797221,-0.429460046040532,-0.34584826505763644,-0.29820953411597273,-0.2649551993281527,-0.24793665262003728,-0.23139826069853342,-0.2185364095771405,-0.20818432082826632,-0.19963230769125317,-0.19243229925016792,-0.1862559480970063,-0.18089080299113292,-0.1761725825037317,-0.17198892257471243,-0.1682479735463609,-0.16486617594956599,-0.16180527554348245,-0.15743256733787092,-0.15649314391037095},
+{-1.1395830052697704,-0.6180833081613422,-0.4293528565986513,-0.3457758545165319,-0.29815519828762405,-0.2649363897399404,-0.24789922162662137,-0.23136601388488742,-0.21850800695138162,-0.20815886001260253,-0.19960917305256487,-0.19241104921358954,-0.1862362602330876,-0.18087243142093,-0.17615533771910208,-0.1719726534151853,-0.16823255548859706,-0.1648515092132925,-0.16179127569371587,-0.1574235454165951,-0.1564803070414449},
+{-1.139287418266326,-0.6178953292969815,-0.42924574427988915,-0.3457035056651634,-0.2981009151049143,-0.2649176388784227,-0.24786183446243726,-0.23133380793706593,-0.21847964304323853,-0.2081334362686782,-0.19958607402842077,-0.1923898336211316,-0.1862166058284771,-0.18085409245010808,-0.17613812483955016,-0.1719564155033808,-0.16821716804889775,-0.16483687255699664,-0.1617773054458027,-0.1574148167911531,-0.15646749868720278},
+{-1.138991694590782,-0.617707440175586,-0.42913870912048324,-0.3456312185472683,-0.2980466846173506,-0.2648989445241554,-0.24782449118147554,-0.23130164291146116,-0.21845131791032557,-0.2081080496530241,-0.199563010677398,-0.192368652533073,-0.1861969849423062,-0.1808357861380827,-0.17612094392281108,-0.1719402088976345,-0.1682018112847956,-0.16482226604079386,-0.16176336485824905,-0.15740638334983714,-0.1564547189051595},
+{-1.1386958348494751,-0.6175196408868011,-0.42903175115711534,-0.3455589932070282,-0.2979925068743974,-0.2648803044857466,-0.2477871918370056,-0.23126951886490943,-0.21842303160800824,-0.20808270022196496,-0.1995399830565674,-0.19234750600643835,-0.18617739763055852,-0.1808175125419318,-0.1761037950286628,-0.17192403365372755,-0.16818648525087454,-0.16480768971898385,-0.16174945398598695,-0.15739824601171293,-0.1564419677503217},
+{-1.1383998396482244,-0.6173319315196224,-0.42892487042638194,-0.3454868296881841,-0.2979383819263681,-0.2648617166045817,-0.2477499364818634,-0.23123743585452772,-0.21839478419381209,-0.20805738803265328,-0.19951699122427158,-0.1923263941012685,-0.18615784395246493,-0.18079927172032484,-0.17608667821605195,-0.1719078898287023,-0.16817119000615577,-0.16479314365109232,-0.16173557288890805,-0.1573904047659056,-0.15642924527860558},
+{-1.1381037095915492,-0.6171443121633686,-0.42881806696549774,-0.34541472803640616,-0.29788430982404535,-0.26484317874691854,-0.24771272517032372,-0.23120539393768524,-0.2183665757247475,-0.20803211314122194,-0.19949403523916232,-0.19230531687592034,-0.18613832396553676,-0.18078106373202374,-0.17606959354572282,-0.17189177748014828,-0.16815592560670467,-0.16477862789302478,-0.16172172162331933,-0.15738285871041313,-0.15641655154593792},
+{-1.137807445283153,-0.6169567829075824,-0.42871134081165607,-0.3453426882958901,-0.29783029061742994,-0.2648246888130785,-0.24767555795514085,-0.23117339317190044,-0.2183384062574163,-0.20800687560541675,-0.19947111515875804,-0.19228427439076867,-0.1861188377294809,-0.18076288863553103,-0.1760525410760927,-0.17187569666464952,-0.16814069211046956,-0.1647641425041897,-0.16170790024756698,-0.1573756060935061,-0.1564038866077766},
+{-1.1375110473254466,-0.6167693438411348,-0.4286046920022848,-0.3452707105118584,-0.29777632435713386,-0.26480624473035874,-0.24763843489109405,-0.23114143361531703,-0.2183102758494897,-0.20798167548183955,-0.19944823104314224,-0.19226326670478855,-0.18609938530138947,-0.18074474649037597,-0.1760355208671811,-0.17185964743860893,-0.16812548957486229,-0.16474968754245722,-0.16169410881786206,-0.15736864436707165,-0.1563912505210432},
+{-1.137214516319741,-0.6165819950533589,-0.428498120575032,-0.34519879472991377,-0.29772241109452935,-0.26478784445575343,-0.2476013560328525,-0.23110951532622792,-0.2182821845583156,-0.20795651282934813,-0.1994253829517696,-0.19224229387929626,-0.1860799667415023,-0.18072663735661365,-0.17601853297994552,-0.17184362986117563,-0.16811031805795196,-0.16473526306601016,-0.16168034739516912,-0.15736197023531062,-0.15637864334100016},
+{-1.1369178528669917,-0.6163947366337226,-0.42839162656824925,-0.3451269409952964,-0.29766855088035626,-0.264769485977034,-0.24756432143338714,-0.23107763836288697,-0.21825413244158653,-0.20793138770465092,-0.1994025709438425,-0.19222135597345158,-0.18606058210766108,-0.18070856129219592,-0.17600157747292045,-0.17182764398892658,-0.16809517761781123,-0.1647208691329496,-0.16166661603505972,-0.15735557970149472,-0.15636606512071793},
+{-1.1366210575663303,-0.6162075686714914,-0.42828521002039466,-0.3450551493543905,-0.2976147437677632,-0.26475116731020165,-0.24752733114872782,-0.2310458027843154,-0.21822611955795423,-0.20790630016580636,-0.19937979508029002,-0.19220045304813738,-0.18604123146041118,-0.1806905183587766,-0.1759846544081327,-0.17181168988022222,-0.16808006831293199,-0.164706505801675,-0.1616529147985304,-0.15734946813121198,-0.15635351591974},
+{-1.1363241310161705,-0.6160204912557532,-0.4281788709693046,-0.3449834198530297,-0.2975609898076996,-0.26473288650313265,-0.2474903852316892,-0.2310140086501491,-0.21819814596380738,-0.20788125027188187,-0.19935705542033944,-0.19217958516323463,-0.18602191485779684,-0.18067250861493633,-0.17596776384558765,-0.17179576759170345,-0.16806499020176702,-0.16469217313235518,-0.16163924374153282,-0.15734363029696397,-0.15634099579090943},
+{-1.1360270738145068,-0.6158335044762175,-0.4280726094546772,-0.3449117525387244,-0.29750728905182555,-0.26471464163247305,-0.24745348373822296,-0.2309822560191428,-0.21817021171935025,-0.20785623808078313,-0.1993343520258648,-0.1921587523813031,-0.1860026323610775,-0.1806545321230395,-0.17595090584604733,-0.1717798771844592,-0.16804994334484746,-0.16467787118403265,-0.16162560292548633,-0.1573380604364374,-0.1563285047910128},
+{-1.135729886557371,-0.6156466084221321,-0.42796642551536834,-0.34484014745757463,-0.2974536415536839,-0.2646964308035038,-0.24741662672414222,-0.23095054495215805,-0.2181423168821972,-0.20783126365200744,-0.19931168495702067,-0.19213795476195372,-0.1859833840289582,-0.18063658894301682,-0.17593408047109094,-0.171764018714196,-0.168034927799372,-0.1646636000159809,-0.1616119924084387,-0.15733275230246235,-0.15631604297581703},
+{-1.1354325698403542,-0.6154598031823966,-0.42786031919057166,-0.34476860465613157,-0.2974000473652829,-0.26467825215380003,-0.24737981424408773,-0.2309188755084719,-0.21811446151129132,-0.20780632704424917,-0.19928905427653376,-0.19211719236698244,-0.18596416992124176,-0.18061867913632668,-0.17591728778133842,-0.17174819224064564,-0.16801994362635142,-0.16464935968794236,-0.16159841224957816,-0.15732769921536516,-0.15630361040031104},
+{-1.135135124258035,-0.6152730888468128,-0.4277542905198324,-0.34469712418240306,-0.2973465065405918,-0.2646601038466905,-0.24734304635298443,-0.23088724774886416,-0.21808664566574976,-0.2077814283166184,-0.19926646004502757,-0.19209646525769486,-0.18594499009815024,-0.18060080276257295,-0.1759005278366459,-0.171732397821156,-0.16800499088378018,-0.1646351502587926,-0.1615848625088674,-0.1573228941120668,-0.15629120711950506},
+{-1.1348375504039545,-0.6150864655045751,-0.4276483395435484,-0.3446257060843152,-0.2972930191319101,-0.2646419840797982,-0.2473063231060877,-0.23085566173453032,-0.21805886940401464,-0.20775656752901384,-0.19924390232557343,-0.19207577349519767,-0.18592584462065886,-0.18058295988614503,-0.17588380070034404,-0.17171663551699723,-0.16799006963359986,-0.1646209717893008,-0.16157134324745925,-0.15731832960070946,-0.15627883319179148},
+{-1.1345398488705811,-0.6148999332455887,-0.4275424663018974,-0.34455435040931803,-0.2972395851936902,-0.26462389107767237,-0.247269644560852,-0.2308241175265664,-0.21803113278632225,-0.20773174474219758,-0.19922138118022303,-0.19205511714250179,-0.18590673354906784,-0.180565150567233,-0.17586710643364611,-0.1717009053859364,-0.1679751799351088,-0.16460682434069085,-0.16155785452104254,-0.1573139979961411,-0.15626648867020876},
+{-1.1342420202494736,-0.6147134921588027,-0.42743667083489356,-0.344483057205899,-0.2971862047790914,-0.2646058230934045,-0.2472330107724261,-0.23079261518640948,-0.21800343587192117,-0.20770696001549993,-0.1991988966710494,-0.19203449625938163,-0.1858876569443879,-0.18054737486785655,-0.1758504450980567,-0.17168520748800375,-0.16796032184936038,-0.1645927079727727,-0.16154439639420204,-0.157309891376066,-0.15625417361309601},
+{-1.1339440651310753,-0.614527142333749,-0.42733095318346415,-0.3444118265221334,-0.297132877942321,-0.26458777841314074,-0.2471964217963496,-0.23076115477535097,-0.2179757787194916,-0.20768221340896176,-0.19917644886029962,-0.19201391090907194,-0.18586861486558348,-0.18052963285049017,-0.17583381675290966,-0.17166954188131456,-0.1679454954357773,-0.16457862274514667,-0.1615309689235147,-0.157306001613577,-0.1562418880738683},
+{-1.1336459841051774,-0.6143408838599065,-0.42722531338867853,-0.34434065840747863,-0.2970796047390891,-0.26456975534773974,-0.24715987769037184,-0.23072973635730065,-0.21794816139150086,-0.20765750498457436,-0.1991540378143739,-0.19199336115396903,-0.18584960737666378,-0.1805119245795055,-0.17581722146556444,-0.1716539086282154,-0.167930700756731,-0.16456456872131398,-0.16151757217265228,-0.15730232042974635,-0.1562296321128258},
+{-1.1333477777604628,-0.6141547168268424,-0.42711975149159187,-0.34426955291037586,-0.29702638522264735,-0.26455175224147,-0.2471233785090483,-0.23069835999332255,-0.21792058394565572,-0.20763283480244965,-0.1991316635929472,-0.19197284705465734,-0.18583063453737125,-0.1804942501147231,-0.17580065929398714,-0.17163830778633127,-0.16791593787337433,-0.16455054596067242,-0.1615042061991332,-0.15729883941448364,-0.15621740578156107},
+{-1.1330494466842893,-0.6139686413242771,-0.42701426753425764,-0.34419851008111735,-0.2969732194494483,-0.2645337674661583,-0.2470869243110272,-0.23066702574744014,-0.2178930464443951,-0.20760820292509408,-0.19910932626293842,-0.191952368674972,-0.18581169640985706,-0.18047660952304057,-0.1757841303014871,-0.17162273941802297,-0.16790120684656884,-0.1645365545256503,-0.16149087106705906,-0.1572955500796418,-0.15620520914130154},
+{-1.132750991463375,-0.6137826574414831,-0.4269088615579584,-0.3441275299680271,-0.2969201074732126,-0.26451579942020587,-0.24705051515236676,-0.23063573368206747,-0.2178655489461292,-0.20758360941271192,-0.19908702588471172,-0.19193192607667342,-0.18579279305354035,-0.18045900286436733,-0.17576763454969324,-0.17160720358060644,-0.16788650773667158,-0.1645225944759332,-0.1614775668326267,-0.15729244387822305,-0.1561930422453699},
+{-1.1324524126836728,-0.6135967652682233,-0.4268035336053124,-0.34405661262198706,-0.29686704935054564,-0.2644978465367771,-0.24701415109120717,-0.23060448386161525,-0.21783809151393285,-0.20755905432803345,-0.19906476252557326,-0.19191151932252026,-0.18577392453390829,-0.1804414302058106,-0.1757511721033822,-0.17159170033924198,-0.16787184060907734,-0.16450866587633683,-0.16146429356275505,-0.15728951224810572,-0.15618090515343397},
+{-1.1321537109296695,-0.613410964894328,-0.42669828371829865,-0.3439857580929022,-0.29681404513768683,-0.2644799072705446,-0.24697783218342906,-0.2305732763500039,-0.21781067420774747,-0.20753453773420105,-0.19904253624888213,-0.1918911484752499,-0.18575509091150977,-0.1804238916099088,-0.17573474302350434,-0.17157622975182463,-0.1678572055240366,-0.1644947687867777,-0.1614510513160461,-0.1572867466274026,-0.1561687979219073},
+{-1.1318548867854545,-0.6132252564094607,-0.42659311193978056,-0.34391496643173625,-0.2967610948903108,-0.2644619801105854,-0.24694155848658994,-0.23054211121156598,-0.21778329708862287,-0.20751005969176717,-0.19902034711828165,-0.19187081359597968,-0.18573629224732002,-0.1804063871388415,-0.1757183473737065,-0.17156079187923368,-0.16784260254310368,-0.16448090327031295,-0.1614378401525478,-0.1572841384885706,-0.15615672060516772},
+{-1.1315559408336142,-0.61303963990283,-0.4264880183124582,-0.3438442376883053,-0.2967081986644011,-0.26444406357239103,-0.24690533005986026,-0.23051098851123086,-0.2177559602193675,-0.20748562026575001,-0.19899819519872253,-0.19185051475007953,-0.18571752860735202,-0.18038891686139635,-0.1757019852168078,-0.17154538678667208,-0.16782803173042637,-0.16446706939121114,-0.1614246601364684,-0.1572816793651839,-0.15614467326379255},
+{-1.1312568736560653,-0.6128541154646392,-0.4263830028796214,-0.3437735719149764,-0.29665535651754027,-0.2644261561974872,-0.24686914696039253,-0.23047990831386755,-0.21772866366086774,-0.20746121951811958,-0.19897608055582694,-0.19183025199931336,-0.1856988000520161,-0.18037148084060206,-0.17568565661553492,-0.1715300145320917,-0.1678134931488735,-0.1644532672092076,-0.16141151132915255,-0.15727936086567595,-0.15613265595267478},
+{-1.1309576858339767,-0.6126686831846939,-0.4262780656847944,-0.34370296916215537,-0.29660256850653255,-0.2644082565605288,-0.24683300924629847,-0.2304488706851906,-0.21770140747566202,-0.2074368575126293,-0.19895400325464863,-0.19181002540695857,-0.1856801066446252,-0.18035407914122814,-0.17566936163375857,-0.17151467517919627,-0.1677989868597436,-0.164439496787935,-0.161398393792048,-0.15727717469843583,-0.15612066872922625},
+{-1.1306583779470127,-0.6124833431529346,-0.42617320677195636,-0.34363242948224837,-0.2965498346887756,-0.2643903632582614,-0.2467969169758213,-0.23041787569206207,-0.21767419172574165,-0.20741253431250684,-0.1989319633605504,-0.19178983503735836,-0.18566144844949406,-0.18033671182933375,-0.1756531003353814,-0.17149936879147631,-0.16778451292892171,-0.1644257581930404,-0.16138530758936653,-0.15727511269387762,-0.1561087116533919},
+{-1.1303589505744487,-0.6122980954590105,-0.4260684261850507,-0.34356195292733815,-0.29649715512233143,-0.26437247492083316,-0.24676087020791826,-0.23038692339922306,-0.21764701647398965,-0.20738824998295868,-0.19890996093778313,-0.1917696809524898,-0.18564282553005995,-0.1803193789696138,-0.1756368727841746,-0.1714840954289052,-0.16777007141912748,-0.16441205148548121,-0.16137225278017908,-0.15727316680693093,-0.15609678477822797},
+{-1.1300594042944265,-0.6121129401930467,-0.42596372396821636,-0.343491539548868,-0.2964445298642353,-0.264354590201588,-0.24672486900077573,-0.23035601387419646,-0.21761988178265312,-0.20736400458727644,-0.19888799605182328,-0.1917495632167423,-0.18562423794923433,-0.18030208063009567,-0.1756206790421082,-0.17146885515678179,-0.1677556623920431,-0.16439837672970725,-0.16135922943062653,-0.15727132914573616,-0.15608488816435084},
+{-1.1297597396839194,-0.6119278774450514,-0.4258591001661607,-0.34342118940045196,-0.2963919589731958,-0.26433670778340357,-0.24668891341493193,-0.2303251471843346,-0.21759278771588342,-0.20733979819188875,-0.19886606877028257,-0.1917294818954005,-0.18560568577336412,-0.18028481687638376,-0.17560451917553976,-0.17145364803782215,-0.1677412859152163,-0.16438473398963183,-0.16134623760229516,-0.1572695919793503,-0.1560730218697941},
+{-1.1294599573194066,-0.6117429073048299,-0.42575455482387525,-0.3433509025338388,-0.29633944250733535,-0.26431882637645643,-0.24665300350792663,-0.23029432339554035,-0.21756573433578552,-0.20731563085870164,-0.19884417915692154,-0.19170943704960663,-0.1855871690639077,-0.18026758777300955,-0.17558839324668796,-0.1714384741329873,-0.16772694204962235,-0.16437112332841153,-0.16133327735738945,-0.1572679477434491,-0.1560611859465446},
+{-1.1291600577760654,-0.6115580298626142,-0.42565008798646176,-0.34328067900323234,-0.29628698052605174,-0.2643009447153659,-0.24661713934013463,-0.23026354257648407,-0.21753872170668487,-0.20729150265545115,-0.19882232727896465,-0.19168942874680184,-0.18556868788831693,-0.18025039338959914,-0.17557230132013757,-0.1714233335092068,-0.1677126308610255,-0.16435754481024745,-0.1613203487604622,-0.15726638905712775,-0.1560493804577021},
+{-1.1288600416282257,-0.6113732452088314,-0.42554569969921374,-0.34321051886166387,-0.29623457308821344,-0.26428306156533665,-0.2465813209695753,-0.2302328047951967,-0.21751174989184818,-0.20726741364667944,-0.1988005132008368,-0.19166945704856175,-0.18555024230875716,-0.1802332337904673,-0.1755562434609388,-0.17140822622731733,-0.16769835241423792,-0.1643439985003532,-0.16130745187527396,-0.15726490872373233,-0.1560376054568593},
+{-1.1285599094496828,-0.6111885534335357,-0.42544139000811043,-0.34314042216342244,-0.29618222025327867,-0.2642651757166483,-0.24654554845930932,-0.23020211012059733,-0.2174848189573808,-0.2072433638990816,-0.19877873699117998,-0.19164952202352836,-0.18553183239423987,-0.18021610904599328,-0.1755402197344651,-0.171393152354824,-0.1676841067756385,-0.16433048446521425,-0.16129458676500263,-0.15726349974838527,-0.15602586100791882},
+{-1.1282596618125673,-0.6110039546269377,-0.42533715895939395,-0.34307038896249864,-0.29612992208075894,-0.2642472859836005,-0.24650982186709314,-0.23017145862112542,-0.21745792896589577,-0.20721935347841836,-0.19875699871444752,-0.1916296237327586,-0.18551345820729992,-0.1801990192211278,-0.17552423020280727,-0.17137811195368258,-0.16766989400718657,-0.16431700276538663,-0.1612817534926485,-0.15726215532457033,-0.15601414716319795},
+{-1.1279592992888077,-0.6108194488793544,-0.42523300659911456,-0.34300041931263436,-0.29607767863043577,-0.2642293912113267,-0.24647414125449174,-0.23014085036475862,-0.21743107998246813,-0.2071953824500774,-0.19873529843780702,-0.19160976224491222,-0.1854951198151582,-0.18018196438630696,-0.17550827493439058,-0.1713631050911708,-0.1676557141773003,-0.1643035534699635,-0.16126895212605064,-0.1572608688614494,-0.15600246398680184},
+{-1.1276588224489146,-0.6106350362812236,-0.42512893297380216,-0.3429305132692484,-0.29602548996331635,-0.2642114902646462,-0.2464385066813044,-0.23011028542241263,-0.2174042720730931,-0.2071714508819582,-0.19871363622763738,-0.1915899376230321,-0.18547681728221477,-0.18016494460815125,-0.17549235399090435,-0.17134813182913433,-0.16764156734936364,-0.1642901366403393,-0.16125618272522146,-0.15725963396261733,-0.1559908115344797},
+{-1.1273582318626758,-0.6104507169231113,-0.4250249381301643,-0.3428606708874007,-0.295973356139136,-0.2641935820402175,-0.24640291820858806,-0.230079763863003,-0.21737750530201083,-0.20714755884092995,-0.19869201215119148,-0.19157014993429655,-0.1854585506772395,-0.18014795995524224,-0.17547646744031908,-0.17133319223568577,-0.16762745358978393,-0.1642767523445805,-0.16124344535953838,-0.15725844445038462,-0.1559791898691003},
+{-1.127057528099252,-0.6102664908957003,-0.4249210221163189,-0.34279089222224,-0.29592127721971195,-0.2641756654567047,-0.24636737589796098,-0.2300492857568024,-0.21735077973599815,-0.2071237063940714,-0.19867042627452136,-0.1915503992445622,-0.18544032006511912,-0.18013101049574232,-0.17546061534507373,-0.1713182863746141,-0.16761337296505374,-0.1642634006469379,-0.16123074008845606,-0.15725729435068558,-0.1559675990477345},
+{-1.1267567117263813,-0.6100823582893895,-0.4248171849787319,-0.3427211773295262,-0.29586925326520586,-0.2641577394583585,-0.24633187981133275,-0.23001885117438547,-0.21732409544057418,-0.20709989360904046,-0.19864887866419068,-0.19153068562059872,-0.18542212551386683,-0.18011409630049258,-0.17544479777380673,-0.17130341431440854,-0.16759932554390744,-0.1642500816162169,-0.16121806698256336,-0.15725617790361923,-0.15595603913910594},
+{-1.1264557833113518,-0.609898319194734,-0.424713426765738,-0.3426515262647385,-0.2958172843369624,-0.2641398030157376,-0.24629643000869805,-0.22998846018455765,-0.21729745248070387,-0.2070761205523688,-0.19862736938750913,-0.19151100912828767,-0.18540396708876372,-0.1800972174357547,-0.1754290147891524,-0.17128857611709236,-0.16758531138738064,-0.164236795313478,-0.16120542610227773,-0.15725508955389245,-0.15594451019843092},
+{-1.126154743420141,-0.6097143737028006,-0.424609747525416,-0.3425819390851288,-0.2957653704980032,-0.26412185512137754,-0.2462610265540448,-0.229958112861123,-0.21727085092599552,-0.2070523872939667,-0.1986058985128203,-0.19149136983652326,-0.1853858448591943,-0.18008037397324372,-0.17541326645940813,-0.17127377185352088,-0.16757133056726303,-0.1642235418096405,-0.16119281751553416,-0.15725402396205368,-0.1559330122929623},
+{-1.1258535926182738,-0.6095305219042615,-0.42450614730583425,-0.3425124158464783,-0.2957135118093426,-0.26410389479559626,-0.24622566950667135,-0.22992780927262757,-0.21724429084095576,-0.20702869390095557,-0.19858446610596303,-0.1914717678098654,-0.18536775889186075,-0.18006356598124285,-0.17539755284983727,-0.1712590015869857,-0.16755738314824953,-0.1642103211681487,-0.1611802412893084,-0.15725297599153976,-0.1559215454860876},
+{-1.12555233146999,-0.609346763890283,-0.42440262615557955,-0.3424429566062308,-0.2956617083341193,-0.2640859210811186,-0.24619035893214303,-0.22989754949187713,-0.2172177722943971,-0.20700504044309653,-0.1985630722353875,-0.19145220311769862,-0.18534970925454886,-0.1800467935297334,-0.17538187402624317,-0.17124426538649473,-0.16754346919813656,-0.16419713345578657,-0.16116769748662563,-0.1572519407134081,-0.15591010984266518},
+{-1.1252509605387164,-0.6091630997513455,-0.4242991841241377,-0.3423735614214678,-0.29560996013346497,-0.26406793304338905,-0.246155094891634,-0.22986733358988687,-0.21719129535186,-0.20698142698715216,-0.1985417169683572,-0.19143267582798984,-0.185331696015556,-0.18003005668929006,-0.17536623005529606,-0.17122956331737527,-0.16752958878448254,-0.16418397874188173,-0.16115518617577607,-0.15725091340495823,-0.1558987054306442},
+{-1.1249494803873699,-0.6089795295790772,-0.4241958212607493,-0.342304230349324,-0.29555826727156287,-0.2640499297767356,-0.2461198774490292,-0.229837161639324,-0.21716486008352476,-0.20695785360430463,-0.19852040037210372,-0.1914131860089583,-0.1853137192449914,-0.18001335553029563,-0.1753506210044513,-0.1712148954508308,-0.16751574197609642,-0.16417085708958012,-0.16114270742448866,-0.15724988954318064,-0.1558873323135188},
+{-1.1246478915774123,-0.6087960534645696,-0.42409253761454835,-0.34223496344820603,-0.2955066298122304,-0.2640319103907771,-0.24608470666696292,-0.22980703371201727,-0.21713846655759994,-0.20693432036293657,-0.19849912251513047,-0.1913937337297824,-0.18529577900982375,-0.17999669012341002,-0.17533504693915347,-0.17120026185173742,-0.16750192883951343,-0.1641577685695168,-0.16113026129606567,-0.1572488648007706,-0.15587599056231483},
+{-1.124346194670057,-0.6086126714989852,-0.42398933323556776,-0.3421657607766626,-0.29545504781779286,-0.26401387402558285,-0.2460495826085456,-0.22977694987941533,-0.2171121148406101,-0.20691082733286947,-0.19847788346470807,-0.19137431905616253,-0.18527787537859197,-0.17998006053735693,-0.17531950792668027,-0.17118566258827173,-0.16748814944293144,-0.1641447132467917,-0.161117847859785,-0.15724783505015694,-0.15586468024410038},
+{-1.1240443902247836,-0.608429383773256,-0.42388620817388656,-0.34209662239185334,-0.29540352135261827,-0.263995819841746,-0.2460145053388807,-0.2297469102152654,-0.2170858050039186,-0.20688737458458917,-0.19845668328960997,-0.19135494206163983,-0.1852600084240592,-0.17996346684618914,-0.17530400403535396,-0.17117109773211325,-0.16747440385830004,-0.164131691191173,-0.1611054671831127,-0.15724679635464156,-0.15585340143106663},
+{-1.123742478801029,-0.6082461903794822,-0.4237831624800812,-0.34202754835370897,-0.29535205048054536,-0.2639777470199327,-0.24597947492190642,-0.22971691479102319,-0.2170595371153965,-0.2068639621870183,-0.1984355220578813,-0.19133560281248307,-0.18524217821171973,-0.17994690911889677,-0.17528853533082156,-0.17115656734717533,-0.1674606921492412,-0.1641187024685138,-0.16109311933055892,-0.15724574496596944,-0.15584215419221437},
+{-1.1234404609571857,-0.6080630914089582,-0.4236801962047423,-0.3419585387212294,-0.2953006352663152,-0.2639596547688541,-0.24594449142239938,-0.229686963681214,-0.2170333112448155,-0.20684059021142076,-0.1984143998392227,-0.19131630138020483,-0.18522438481337034,-0.17993038742664424,-0.17527310188149414,-0.1711420715048888,-0.1674470143881308,-0.16410574714736725,-0.16108080437331296,-0.15724467732062664,-0.15583093859955},
+{-1.1231383372502322,-0.60788008695339,-0.4235773093994375,-0.3418895935538906,-0.2952492757748715,-0.2639415423122671,-0.24590955490436883,-0.22965705695758132,-0.21700712746254425,-0.20681725872803014,-0.19839331669958682,-0.19129703783402618,-0.18520662829911316,-0.17991390184172928,-0.17525770375625882,-0.17112761027436818,-0.16743337064304598,-0.16409282529651392,-0.16106852237894032,-0.15724359003649369,-0.15581975472736076},
+{-1.1228361082369176,-0.6076971771042743,-0.4234745021152726,-0.34182071291149185,-0.29519797207148457,-0.2639234089023219,-0.24587466543329128,-0.2296271946945332,-0.21698098583900105,-0.20679396780751702,-0.1983722727108983,-0.19127781224418072,-0.18518890873964722,-0.17989745243423272,-0.1752423410207058,-0.1711131837249127,-0.16741976098463596,-0.16407993698336298,-0.16105627341283224,-0.15724247990875995,-0.1558086026466583},
+{-1.1225337744728936,-0.6075143619536654,-0.42337177440371576,-0.3417518968542339,-0.29514672422084587,-0.26390525380928764,-0.24583982307526853,-0.2295973769654438,-0.2169548864449311,-0.20677071752129095,-0.19835126793962488,-0.19125862468153088,-0.185171226205739,-0.17988103927960708,-0.17522701374578986,-0.1710987919282303,-0.1674061854813118,-0.16406708227838607,-0.16104405754494877,-0.15724134390595168,-0.15579748243500546},
+{-1.1222313365129661,-0.607331641593408,-0.42326912631715174,-0.3416831454423743,-0.2950955322891602,-0.26388707632481,-0.2458050278961217,-0.22956760384331076,-0.21692882935137447,-0.20674750794149688,-0.1983303024569345,-0.19123947521723395,-0.18515358076862043,-0.17986466244703792,-0.1752117219974636,-0.17108443494974068,-0.16739264420296962,-0.16405426124862288,-0.16103187484372228,-0.15724017916487298,-0.15578639416528972},
+{-1.1219287949109944,-0.6071490161154394,-0.423166557907777,-0.34161445873626306,-0.2950443963415772,-0.2638688757636558,-0.24577027996082634,-0.22953787540174275,-0.21690281462912253,-0.20672433913687271,-0.19830937633050283,-0.19122036392254316,-0.18513597249864233,-0.1798483220085103,-0.17519646584553072,-0.17107011286393004,-0.16737913722042208,-0.16404147396419688,-0.16101972538150022,-0.1572389829902079,-0.15577533791798714},
+{-1.1216261502201128,-0.6069664856121122,-0.42306406922807227,-0.3415458367979838,-0.2949933164457832,-0.26385065145736775,-0.2457355793376692,-0.22950819171589032,-0.2168768423502101,-0.2067012111814428,-0.19828848963170387,-0.19120129086908122,-0.18511840146864955,-0.17983201803708937,-0.17518124535897783,-0.17105582573898914,-0.1673656646028121,-0.16402872049344808,-0.16100760922169854,-0.1572377528403166,-0.15576431376761946},
+{-1.121323402992255,-0.6067840501753743,-0.42296166033082017,-0.3414772796884371,-0.29494229266759575,-0.2638324027631107,-0.24570092609093308,-0.2294785528586729,-0.21685091258827782,-0.20667812414668418,-0.19826764242821682,-0.19118225612739081,-0.18510086774893608,-0.1798157506046607,-0.17516606060770812,-0.17104157364516936,-0.1673522264225582,-0.16401600090630097,-0.16099552643559178,-0.1572364863363518,-0.15575332179271584},
+{-1.121020553779335,-0.6066017098979657,-0.4228593312698514,-0.34140878746984527,-0.29489132507416116,-0.26381412905545787,-0.24566632029009128,-0.22944895890569228,-0.2168250254148063,-0.20665507810489103,-0.19824683479332705,-0.19116325977257986,-0.18508337141597053,-0.17979951978689002,-0.1751509116626977,-0.17102735665790192,-0.1673388227509207,-0.16400331527403011,-0.1609834770968348,-0.15723518125180647,-0.15574236207557135},
+{-1.1207176031315171,-0.606419464872296,-0.42275708209828977,-0.34134036020377323,-0.29484041373226333,-0.26379582972748494,-0.24563176200260628,-0.2294194099301734,-0.21679918090147154,-0.20663207312789567,-0.1982260667944047,-0.19114430187215703,-0.1850659125367713,-0.1797833256513499,-0.17513579858871253,-0.17101317484153356,-0.1673254536548825,-0.16399066366460602,-0.16097146126949013,-0.1572338354983458,-0.15573143469207196},
+{-1.1204145515985982,-0.606237315190473,-0.42265491287019685,-0.3412719979527701,-0.2947895587104128,-0.2637775041965753,-0.245597251295802,-0.22938990600721,-0.2167733791242874,-0.20660910928848963,-0.19820533850336375,-0.1911253825028325,-0.185048491189022,-0.17976716827683958,-0.17512072146012514,-0.1709990282745295,-0.16731211921079847,-0.1639780461493885,-0.1609594790287474,-0.15723244714422435,-0.15572053972760358},
+{-1.1201113997292804,-0.606055260945439,-0.4225528236396201,-0.34120370077960516,-0.29473876007550004,-0.26375915189242605,-0.24556278823659028,-0.22936044721063098,-0.2167476201546279,-0.20658618665866868,-0.19818464999049468,-0.1911065017350566,-0.18503110744251927,-0.17975104773175588,-0.1751056803457942,-0.17098491702415686,-0.16729881948560177,-0.1639654627984939,-0.16094753044122712,-0.15723101438437226,-0.15570967726025486},
+{-1.119808148071936,-0.6058733022303606,-0.4224508144615058,-0.34113546874806744,-0.29468801789657917,-0.2637407722717846,-0.2455283728948352,-0.2293310336169121,-0.2167219040681445,-0.2065633053131677,-0.1981640013275623,-0.19108765964334395,-0.18501376137417935,-0.1797349640923258,-0.17509067531730693,-0.17097084116296912,-0.16728555455534178,-0.16395291368144171,-0.16093561557934777,-0.15722953555528107,-0.1556988473743104},
+{-1.1195047971735885,-0.6056914391380204,-0.42234888539027793,-0.34106730192074153,-0.29463733224215716,-0.2637223648051581,-0.24549400533932797,-0.2293016653000457,-0.21669623093803025,-0.2065404653246503,-0.19814339258571323,-0.19106885629934567,-0.18499645305500678,-0.1797189174300584,-0.17507570644423254,-0.17095680076416642,-0.16727232448815244,-0.16394039887095602,-0.1609237345122807,-0.1572280091194429,-0.15568805015222864},
+{-1.1192013475805744,-0.6055096717613537,-0.42224703648153294,-0.34099920036202747,-0.29458670317979596,-0.26370392898213524,-0.24545968564028442,-0.22927234233455707,-0.21667060084067202,-0.20651766676579797,-0.19812282383687574,-0.19105009178003485,-0.1849791825611149,-0.17970290782282916,-0.17506077379963614,-0.17094279590133254,-0.16725912935986287,-0.16392791843876608,-0.16091188731380157,-0.15722643366859756,-0.15567728568085215},
+{-1.118897799838324,-0.6053280001933885,-0.42214526779023487,-0.34093116413532343,-0.29453613077945917,-0.2636854643130775,-0.24542541386567507,-0.2292430647959378,-0.21664501384827162,-0.20649490970929918,-0.19810229515183408,-0.1910313661550589,-0.18496194996638593,-0.1796869353383741,-0.17504587745226274,-0.17092882664471887,-0.16724596923880597,-0.1639154724543701,-0.16090007405210116,-0.15722480791097126,-0.1556665540405362},
+{-1.1185941544917117,-0.6051464245274865,-0.42204357937275105,-0.34086319330583237,-0.29448561511149407,-0.26366697032267084,-0.24539119008634458,-0.22921383276009522,-0.21661947003934756,-0.20647219423170782,-0.19808180660593422,-0.1910126795017817,-0.18494475534483001,-0.17967100005421344,-0.17503101747635696,-0.17091489306731233,-0.1672328441994111,-0.16390306098909946,-0.1608882947992356,-0.1572231306752414,-0.15565585531805226},
+{-1.118290412084816,-0.6049649448573398,-0.42194197128482,-0.3407952879376701,-0.29443515624382854,-0.26364844655639885,-0.2453570143716668,-0.2291846463013414,-0.2165939694892174,-0.20644952040468212,-0.1980613582688875,-0.190994031891897,-0.18492759877194231,-0.17965510204444968,-0.17501619394368362,-0.1709009952453613,-0.16721975431524072,-0.16389068411715613,-0.1608765496273108,-0.15722140090273484,-0.1556451896005413},
+{-1.1179865731603122,-0.6047835612763457,-0.42184044358315376,-0.34072744809707345,-0.29438475424865373,-0.26362989257724934,-0.24532288679377956,-0.22915550549547348,-0.21656851227320928,-0.2064268883036604,-0.19804095021556378,-0.1909754234006158,-0.18491048032515067,-0.1796392413824961,-0.1750014069248067,-0.1708871332500692,-0.1672066996583581,-0.16387834190864936,-0.1608648386076581,-0.1572196176415872,-0.15563455697194684},
+{-1.1176826382606837,-0.6046022738778376,-0.4217389963244216,-0.3406596738483678,-0.29433440919412135,-0.26361130796124144,-0.2452888074221029,-0.22912641041827086,-0.21654309846768882,-0.20640429800220517,-0.19802058251736554,-0.19095685410312768,-0.18489340007722888,-0.17962341814279625,-0.1749866564928766,-0.17087330715496307,-0.16719368030116755,-0.16386603443697823,-0.16085316181230525,-0.15721778004430575,-0.1556239575204046},
+{-1.117378607927444,-0.6044210827563674,-0.42163762956658246,-0.34059196525783264,-0.29428412115271385,-0.26359269230906435,-0.24525477633050485,-0.22909736114628743,-0.2165177281524926,-0.20638174957578315,-0.19800025525174902,-0.1909383240759368,-0.1848763581065498,-0.17960763240114375,-0.17497194272471717,-0.17085951703689517,-0.1671806963178497,-0.16385376177395017,-0.16084151931156043,-0.1572158873668883,-0.15561339133390106},
+{-1.117074482701124,-0.6042399880055385,-0.4215363433661068,-0.3405243223913743,-0.29423389019505564,-0.2635740452281965,-0.24522079358883175,-0.22906835775433265,-0.21649240140189363,-0.2063592430988166,-0.19797996849044353,-0.19091983339142615,-0.1848593544892907,-0.17959188423098027,-0.17495726568699155,-0.1708457629670903,-0.1671677477822726,-0.1638415239930211,-0.16082991118106804,-0.15721393895530866,-0.1556028584961595},
+{-1.1167702631218308,-0.6040589897192703,-0.4214351377812662,-0.3404567453164411,-0.2941837163919452,-0.26355536635180243,-0.2451868592687454,-0.22903940031800474,-0.21646711829429677,-0.2063367786460759,-0.19795972230756576,-0.19090138212492036,-0.18484238930142993,-0.17957617370653622,-0.1749426254593729,-0.1708320450204397,-0.16715483476828297,-0.1638293211661832,-0.16081833748917518,-0.15721193425468272,-0.15559235909867652},
+{-1.1164659497283882,-0.6038780879919443,-0.4213340128703713,-0.34038923409834965,-0.2941335998160888,-0.26353665532399617,-0.2451529734441671,-0.22901048891420572,-0.21644187890942135,-0.2063143562937242,-0.19793951677986144,-0.19088297035332857,-0.18482546262027455,-0.17956050090270992,-0.17492802211129543,-0.17081836327121636,-0.16714195734827086,-0.16381715336778058,-0.1608067983092809,-0.15720987279536303,-0.15558189322828753},
+{-1.1161615430589595,-0.6036972829179419,-0.42123296869160853,-0.3403217888063814,-0.2940835405379616,-0.2635179118050175,-0.24511913618837866,-0.22898162361853025,-0.21641668332529918,-0.20629197611695815,-0.19791935198273336,-0.19086459815335388,-0.18480857452446742,-0.17954486589832186,-0.17491345572075545,-0.17080471779894424,-0.1671291155998489,-0.16380502067275415,-0.1607952937172712,-0.15720775419355704,-0.15557146097180663},
+{-1.1158570436511983,-0.6035165745917048,-0.42113200530421224,-0.3402544095052811,-0.29403353863095916,-0.26349913547377213,-0.245085347573351,-0.22895280450815392,-0.2163915316203031,-0.2062696381916993,-0.1978992279919467,-0.19084626559894957,-0.18479172508983055,-0.17952926876615294,-0.17489892636011461,-0.17079110867483394,-0.16711630959410684,-0.1637929231537072,-0.1607838237835182,-0.1572055781458772,-0.15556106241894696},
+{-1.1155524520414826,-0.6033359631076607,-0.42103112276705446,-0.34018709626521115,-0.2939835941682567,-0.2634803260197387,-0.24505160767370882,-0.2289240316589911,-0.21636642387478133,-0.20624734259314437,-0.1978791448846735,-0.19082797276866614,-0.18477491439728055,-0.1795137095825936,-0.17488443410533705,-0.17077753597792622,-0.16710353940858624,-0.16378086088616328,-0.16077238858247966,-0.1572033444276144,-0.1555506976580432},
+{-1.1152477687660376,-0.6031554485611359,-0.4209303211401938,-0.340119849153794,-0.29393370722151957,-0.2634614831528097,-0.24501791656240357,-0.22889530514691003,-0.21634136016665906,-0.20622508939707984,-0.1978591027350305,-0.19080971973540528,-0.1847581425216589,-0.17949818841985632,-0.17486997902970813,-0.17076399977857903,-0.16709080511402874,-0.16376883394084274,-0.1607609881824814,-0.15720105288144026,-0.1555403667720512},
+{-1.114942994359943,-0.6029750310466362,-0.42082960048302454,-0.34005266823965385,-0.29388387786504566,-0.2634426065948112,-0.24498427431460001,-0.2288666250504079,-0.21631634057781923,-0.2062028786826673,-0.1978391016242469,-0.1907915065793091,-0.1847414095469304,-0.1794827053592698,-0.17485556121123835,-0.17075050015978377,-0.16707810679049118,-0.16375684239702792,-0.1607496226638645,-0.1571987034329254,-0.15553006985575024},
+{-1.1146381293571253,-0.6027947106594347,-0.4207289608561169,-0.3399855535920153,-0.2938341061720777,-0.26342369608142135,-0.2449506810062516,-0.2288379914459533,-0.21629136518927794,-0.20618071052462028,-0.19781914162655312,-0.19077333337495617,-0.18472471554763104,-0.17946726047441075,-0.17484118072418653,-0.17073703719317024,-0.16706544451000838,-0.16374488632713735,-0.16073829209540946,-0.15719629606113728,-0.15551980699030565},
+{-1.1143331742914295,-0.6026144874944244,-0.4206284023196609,-0.339918505278181,-0.2937843922155743,-0.2634047513649307,-0.24491713671015347,-0.2288094044077802,-0.21626643407956436,-0.20615858499879636,-0.19779922282183549,-0.19075520020047065,-0.18470806060442868,-0.1794518538402059,-0.17482683764528417,-0.17072361095830502,-0.1670528183493687,-0.16373296580743357,-0.16072699655348544,-0.1571938308199421,-0.1555095782664324},
+{-1.1140281296955994,-0.602434361647397,-0.42052792493539926,-0.3398515233701893,-0.29373473607102696,-0.26338577220962023,-0.24488364150366593,-0.22878086401508568,-0.2162415473307746,-0.20613650218368207,-0.19777934528828212,-0.19073710713269065,-0.1846914447966057,-0.17943648553385572,-0.1748125320483922,-0.17071022152918403,-0.1670402283830441,-0.16372108091166382,-0.16071573610960854,-0.15719130781430835,-0.15549938376575767},
+{-1.1137229961013748,-0.602254333213633,-0.4204275287638346,-0.339784607936636,-0.29368513781259153,-0.26336675839648294,-0.24485019546120412,-0.22875237034578788,-0.21621670502521795,-0.2061144621559663,-0.1977595091033777,-0.19071905424690527,-0.18467486820496504,-0.1794211556312746,-0.17479826401464038,-0.1706968689843933,-0.16702767468753166,-0.16370923171691487,-0.16070451083741233,-0.15718872721279098,-0.15548922357483974},
+{-1.1134177740402844,-0.6020744022890838,-0.4203272138674876,-0.3397177590493463,-0.29363559751585555,-0.26334770971919497,-0.24481679866095618,-0.22872392347715476,-0.21619190724560866,-0.2060924649954714,-0.19773971435090942,-0.1907010416266246,-0.18465833091236306,-0.17940586421128302,-0.1747840336192681,-0.17068355340569497,-0.16701515734208527,-0.16369741829975482,-0.16069332081521992,-0.15718608923918964,-0.15547909778375413},
+{-1.1131124640425352,-0.6018945689694775,-0.4202269803077954,-0.3396509767773601,-0.2935861152547403,-0.2633286259820977,-0.2447834511782716,-0.2286955234856407,-0.21616715407211018,-0.20607051077691807,-0.19771996110534218,-0.1906830693431516,-0.18464183299514758,-0.1793906113474577,-0.17476984093828207,-0.17067027486262987,-0.16700267641818556,-0.1636856407361691,-0.16068216611262187,-0.15718339416017812,-0.15546900647017026},
+{-1.112807066637739,-0.6017148333502327,-0.42012682814725366,-0.3395842611924884,-0.29353669110590275,-0.2633095070082554,-0.24475015309102233,-0.228667170449107,-0.21614244559076212,-0.2060485995799084,-0.19770024945095344,-0.19066513747946345,-0.184625374538534,-0.17937539712107764,-0.17475568605080838,-0.17065703343949679,-0.16699023199598884,-0.16367389910192287,-0.16067104680850974,-0.15718064230350137,-0.15545894972090935},
+{-1.1125015823550388,-0.6015351955286192,-0.42002675744888407,-0.3395176123660555,-0.2934873251442802,-0.26329035262619627,-0.24471690447569472,-0.22863886444542914,-0.21611778188074737,-0.20602673148193418,-0.19768057946571105,-0.19064724611013872,-0.1846089556197512,-0.17936022160417764,-0.17474156903437432,-0.17064382921223853,-0.16697782415023,-0.16366219347267474,-0.16065996297488283,-0.15717783403226804,-0.15544892761778328},
+{-1.112196011722391,-0.6013556555997539,-0.41992676827558384,-0.3394510303695313,-0.29343801744609266,-0.26327116268516093,-0.24468370541109508,-0.22861060555319312,-0.21609316302905768,-0.206004906562967,-0.1976609512319243,-0.1906293953162006,-0.18459257632417092,-0.1793450848784417,-0.17472748996789988,-0.1706306622594127,-0.1669654529608522,-0.16365052392922763,-0.1606489146901353,-0.15717496975987189,-0.15543894024377636},
+{-1.1118903552673949,-0.6011762136612937,-0.4198268606915292,-0.3393845152754338,-0.29338876808917647,-0.2632519370427673,-0.2446505559747152,-0.228582393850715,-0.21606858911817284,-0.20598312490153603,-0.19764136483091477,-0.19061158517541799,-0.1845762367316368,-0.1793299870177094,-0.1747134489280029,-0.1706175326606072,-0.1669531185012545,-0.1636388905440853,-0.1606379020262665,-0.15717204993513434,-0.15542898767868962},
+{-1.1115846135163459,-0.6009968698091654,-0.4197270347599762,-0.3393180671565652,-0.29333957714882075,-0.26323267556872665,-0.24461745624714126,-0.22855422941653813,-0.2160440602331306,-0.2059613865756873,-0.1976218203437199,-0.19059381576850143,-0.18455993692669637,-0.17931492810384952,-0.17469944599779552,-0.17060444049443646,-0.16694082085427198,-0.16362729339859072,-0.16062692506198317,-0.15716907504902622,-0.15541907000494604},
+{-1.11127878699536,-0.6008176241397933,-0.4196272905449838,-0.3392516860844843,-0.2932904447027873,-0.2632133781480128,-0.24458440630493072,-0.2285261123278275,-0.21601957645724212,-0.20593969166584003,-0.1976023178519597,-0.19057608717353958,-0.1845436769910762,-0.17929990821175323,-0.17468548125163608,-0.17059138584026812,-0.1669285600944761,-0.1636157325674148,-0.16061598387269527,-0.15716604562869207,-0.15540918730261666},
+{-1.1109728762296616,-0.6006384767509516,-0.41952762811190425,-0.3391853721332936,-0.29324137082865676,-0.263194044671863,-0.24455140622935545,-0.22849804266387963,-0.2159951378753746,-0.20591804024980576,-0.19758285743871085,-0.19055839946947373,-0.184527457005089,-0.17928492741916813,-0.17467155477093854,-0.17057836877584975,-0.16691633629807257,-0.16360420812747378,-0.16060507853408268,-0.15716296223074266,-0.15539933964845432},
+{-1.1106668817435228,-0.6004594277392101,-0.41942804752498475,-0.33911912537639566,-0.2931923556035585,-0.2631746750493136,-0.24451845609769407,-0.2284700205031669,-0.21597074457486087,-0.205896432409844,-0.19756343918663077,-0.1905407527380234,-0.1845112770557975,-0.1792699858071245,-0.17465766663772797,-0.17056538938233956,-0.166904149548472,-0.16359272016080695,-0.16059420912497302,-0.15715982544934803,-0.15538952712357457},
+{-1.1103608040606723,-0.6002804772023076,-0.4193285488504266,-0.3390529458875413,-0.29314339910693477,-0.26315526919889365,-0.2444855559941388,-0.22844204592681194,-0.21594639663913995,-0.20587486822466872,-0.19754406317792217,-0.19052314705837858,-0.18449513722541155,-0.17925508345248886,-0.17464381692909114,-0.17055244774145706,-0.1668919999213685,-0.16358126874121837,-0.16058337572282966,-0.15715663590472673,-0.1553797498048084},
+{-1.1100546437037941,-0.600101625237226,-0.41922913215324087,-0.3389868337413411,-0.2930945014151334,-0.26313582704772287,-0.24445270599569113,-0.2284141190127329,-0.21592209415520358,-0.20585334777427278,-0.19752472949591748,-0.19050558251181116,-0.18447903759856388,-0.1792402204330088,-0.17463000572698206,-0.17053954393114878,-0.16687988749752947,-0.1635698539521684,-0.16057257840406436,-0.15715339424595953,-0.15537000777271004},
+{-1.1097484011954108,-0.5999228719419065,-0.41912979750054546,-0.3389207890120822,-0.29304566260915976,-0.2631163485403363,-0.24441990618717568,-0.22838623983950157,-0.21589783720956035,-0.20583187114073098,-0.1975054382243826,-0.1904880591789535,-0.18446297825741453,-0.17922539682939487,-0.17461623311131547,-0.1705266780317558,-0.16686781235386405,-0.16355847586686423,-0.1605618172477108,-0.15715010114780625,-0.15536030109960564},
+{-1.1094420770566984,-0.5997442174142371,-0.41903054495809045,-0.3388548117746133,-0.2929968827667899,-0.2630968336232833,-0.2443871566465745,-0.2283584084878001,-0.2158736258876104,-0.20581043840381597,-0.19748618944571916,-0.19047057714017512,-0.18444695928792498,-0.1792106127197357,-0.17460249916209136,-0.17051385012292286,-0.1668557745701591,-0.16354713456538406,-0.16055109233127496,-0.15714675730878724,-0.15535062986558046},
+{-1.1091356718086836,-0.5995656617519849,-0.41893137459301855,-0.3387889021047812,-0.2929481619677574,-0.2630772822627918,-0.2443544574560974,-0.22833062503673318,-0.21584946027683571,-0.20578904964561673,-0.19746698324381384,-0.19045313647684736,-0.1844309807741169,-0.17919586818442923,-0.17458880396391407,-0.1705010602894248,-0.16684377422827623,-0.16353583012811868,-0.160540403736384,-0.15714336344915836,-0.15534099414522018},
+{-1.1088291859709045,-0.5993872050529632,-0.41883228647254,-0.33872306007710407,-0.2928995002917709,-0.2630576944313887,-0.24432180870037,-0.22830288956838274,-0.2158253404659476,-0.20576770494874097,-0.19744781970571523,-0.19043573727383745,-0.18441504280407628,-0.17918116330374545,-0.17457514759684045,-0.17048830861195796,-0.16683181140850678,-0.16352456263552995,-0.1605297515419153,-0.1571399203139805,-0.15533139401690477},
+{-1.1085226200629066,-0.5992088474161257,-0.41873328066476745,-0.338657285769532,-0.2928508978187452,-0.26303807011043645,-0.2442892104609058,-0.22827520216019792,-0.21580126653928744,-0.20574640439276948,-0.19742869891094017,-0.19041837960902086,-0.18439914545916736,-0.17916649815532537,-0.17456153014108367,-0.17047559516749544,-0.16681988618730514,-0.16351333216186958,-0.16051913582398925,-0.1571364286610688,-0.155321829552868},
+{-1.1082159746034002,-0.5990305889398826,-0.41863435723753994,-0.3385915792563594,-0.2928023546285736,-0.2630184092964427,-0.24425666282027692,-0.22824756289401904,-0.21577723858457887,-0.20572514805976283,-0.1974096209464662,-0.19040106356615638,-0.18438328882448474,-0.17915187282023481,-0.17454795167759585,-0.17046292003954733,-0.16680799864769114,-0.16350213878887132,-0.16050855666443198,-0.15713288926949076,-0.1553123008309143},
+{-1.10790925010998,-0.5988524297228786,-0.41853551625965224,-0.33852594061631436,-0.2927538708036508,-0.2629987119891837,-0.24422416586293139,-0.2282199718519422,-0.21575325669273582,-0.20570393603404113,-0.19739058589593128,-0.19038378922974886,-0.18436747298873968,-0.17913728738067647,-0.17453441229363165,-0.17045028331180134,-0.16679614887104321,-0.16349098259649253,-0.1604980141456238,-0.1571293029363119,-0.1553028079253025},
+{-1.107602447099847,-0.5986743698639216,-0.4184367577996291,-0.33846036992595074,-0.29270544642342955,-0.2629789782056946,-0.244191719671619,-0.2281924291119708,-0.2157293209480926,-0.20568276839636468,-0.19737159384374792,-0.19036655667873248,-0.18435169803462514,-0.17912274191321842,-0.17452091206575915,-0.17043768506232482,-0.16678433693498818,-0.16347986366233158,-0.1604875083435644,-0.15712567046700343,-0.15529335090903373},
+{-1.107295566089455,-0.5984964094615819,-0.41833808192678745,-0.3383948672621848,-0.29265708157026893,-0.2629592079683718,-0.24415932433220178,-0.2281649347581549,-0.21570543144229504,-0.205661645233441,-0.1973526448762044,-0.19034936600137087,-0.1843359640526927,-0.17910823650395713,-0.1745074510826612,-0.1704251253787561,-0.16677256292602038,-0.1634687820717815,-0.16047703934521707,-0.1571219926922396,-0.1552839298614117},
+{-1.1069886075943138,-0.5983185486159712,-0.41823948871116556,-0.3383294327041426,-0.2926087763247729,-0.26293940130926075,-0.24412697992945454,-0.2281374888708072,-0.21568158826293882,-0.2056405666262009,-0.19733373907692453,-0.19033221727917038,-0.18432027112648797,-0.1790937712313294,-0.17449402942393988,-0.17041260433962435,-0.16676082692325167,-0.16345773789768003,-0.160466607226617,-0.15711827044399485,-0.15527454485342673},
+{-1.1066815721296024,-0.5981407874259475,-0.4181409782224179,-0.33826406632804407,-0.292560530769844,-0.2629195582717969,-0.24409468654747712,-0.22811009153083717,-0.21565779149761255,-0.2056195326580692,-0.19731487653105262,-0.19031511059509398,-0.18430461934281084,-0.1790793461778435,-0.1744806471740219,-0.1704001220297755,-0.1667491290085792,-0.16344673122583941,-0.160456212072134,-0.15711450457177278,-0.15526519596084398},
+{-1.1063744602096257,-0.5979631259911287,-0.41804255053176576,-0.3381987682143084,-0.2925123449870526,-0.2628996789045317,-0.2440624442731405,-0.22808274282061802,-0.2156340412367186,-0.2055985434132097,-0.19729605732404565,-0.19029804603501788,-0.18428900878846122,-0.17906496142502704,-0.17446730441617575,-0.17038767852999825,-0.16673746926409905,-0.1634357621334459,-0.16044585396227262,-0.15711069593292137,-0.15525588325733963},
+{-1.1060672723476763,-0.5977855644113639,-0.41794420570873925,-0.3381335384409745,-0.29246421905960673,-0.2628797632706181,-0.24403025319064398,-0.22805544282324064,-0.21561033756812265,-0.20557759897884154,-0.197277281541119,-0.19028102368168476,-0.1842734395503811,-0.179050617055438,-0.17445400123644816,-0.17037527392371743,-0.16672584777285948,-0.16342483070319958,-0.1604355329781626,-0.1571068453950204,-0.15524660681588642},
+{-1.1057600090571178,-0.5976081027869604,-0.41784594382656337,-0.33806837708871385,-0.2924161530719793,-0.2628598114407339,-0.243998113390127,-0.22802819162210852,-0.2155866805844724,-0.20555669944005217,-0.1972585492691863,-0.19026404362404037,-0.18425791172006,-0.17903631315221702,-0.1744407377184345,-0.17036290829859269,-0.16671426462032457,-0.16341393701523543,-0.16042524920462142,-0.1571029538351283,-0.15523736671438115},
+{-1.1054526708498429,-0.5974307412174191,-0.41774776495558896,-0.3380032842362297,-0.2923681471042343,-0.26283982348811463,-0.24396602495523467,-0.22800098929695878,-0.21556307037062084,-0.20553584487855403,-0.1972398605907486,-0.19024710594197813,-0.18424242537792423,-0.17902204979585434,-0.17442751394292344,-0.17035058173127027,-0.1667027198838369,-0.1634030811502427,-0.16041500271893483,-0.1570990221327193,-0.1552281630208796},
+{-1.1051452582373642,-0.5972534798036477,-0.41764966916840507,-0.33793825996367843,-0.2923202012434061,-0.26281979950520906,-0.24393398797688803,-0.22797383593428577,-0.21553950702194413,-0.20551503538529658,-0.19722121559578198,-0.190230210726142,-0.18422698061734621,-0.1790078270744715,-0.1744143300027332,-0.17033829431299807,-0.16669121365335116,-0.16339226319141176,-0.1604047936086701,-0.1570950511828073,-0.15521899581586496},
+{-1.1048377717305762,-0.5970763186459855,-0.41755165653750836,-0.3378733043515929,-0.29227231557101874,-0.2627997395816095,-0.24390200253963457,-0.22794673161502743,-0.215515990624219,-0.20549427104135987,-0.19720261436740572,-0.1902133580592178,-0.18421157752314343,-0.17899364506592974,-0.17440118597618692,-0.17032604612185054,-0.16667974600684232,-0.16338148321894863,-0.16039462195277565,-0.15709104187677525,-0.1552098651680751},
+{-1.104530211839478,-0.5968992578454113,-0.41745372713588225,-0.3378084174815399,-0.29222449017276375,-0.2627796438247785,-0.24387006873374872,-0.22791967642483968,-0.21549252127078233,-0.2054735519373807,-0.19718405699354236,-0.19019654802827546,-0.18419621618490112,-0.1789795038576898,-0.17438808195236533,-0.17031383724394544,-0.16666831703062002,-0.16337074131532603,-0.1603844878353371,-0.15708699511476,-0.15520077115384368},
+{-1.1042225790737845,-0.5967222975026445,-0.41735588103683696,-0.33774359943329557,-0.29217672513286175,-0.2627595123437132,-0.24383818664761492,-0.22789267044550598,-0.21546909904994038,-0.20545287815931346,-0.19716554356001126,-0.1901797807197383,-0.18418089668961812,-0.1789654035327075,-0.17437501801602195,-0.17030166776643796,-0.16665692681105782,-0.16336003756404693,-0.1603743913408806,-0.15708291180523304,-0.1551917138478558},
+{-1.1039148739421663,-0.5965454377186958,-0.4172581183142583,-0.337678850290672,-0.2921290205364535,-0.2627393452597033,-0.24380635637193393,-0.22786571376471443,-0.21544572405336027,-0.20543224979517305,-0.19714707415180044,-0.19016305622177043,-0.18416561912819418,-0.1789513441767525,-0.17436199425490884,-0.17028953777204237,-0.16664557542941338,-0.16334937204592848,-0.16036433254899407,-0.15707879285090343,-0.1551826933229279},
+{-1.103607096952608,-0.5963686785950522,-0.4171604390421777,-0.3376141701330937,-0.29208137646886456,-0.26271914270063235,-0.24377457799530333,-0.2278388064640282,-0.2154223963719133,-0.20541166693404733,-0.1971286488592483,-0.19014637462102968,-0.18415038358713787,-0.17893732587353384,-0.1743490107542982,-0.1702774473458959,-0.16663426297319717,-0.16333874484575261,-0.16035431154733004,-0.1570746391663107,-0.15517370965731914},
+{-1.103299248612597,-0.5961920202336621,-0.4170628432958594,-0.33754955904505834,-0.2920337930155412,-0.26269890479809277,-0.24374285160729414,-0.22781194862842113,-0.2153991160955684,-0.2053911296614288,-0.19711026776589335,-0.19012973600425198,-0.18413519015360436,-0.17892334870775528,-0.17433606759886544,-0.17026539657175022,-0.16662298952328314,-0.1633281560447699,-0.16034432841306057,-0.1570704516599477,-0.15516476292068404},
+{-1.1029913294289635,-0.5960154627357142,-0.41696533114899736,-0.337485017108051,-0.29198627026276114,-0.2626786316987548,-0.24371117730007086,-0.22778514034590103,-0.21537588331808166,-0.20537063807008593,-0.19709193096158373,-0.19011314046102257,-0.184120038922039,-0.17890941276723282,-0.17432316488063293,-0.1702533855391053,-0.16661175516899362,-0.16331760573122978,-0.16033438323709248,-0.15706623125059593,-0.1551558531940742},
+{-1.102683339907756,-0.5958390062036187,-0.41686790267825913,-0.33742054440562086,-0.29193880829830476,-0.26265832355019114,-0.24367955516459716,-0.22775838170009877,-0.21535269812878965,-0.2053501922485168,-0.19707363853318327,-0.1900965880782266,-0.1841049299762716,-0.17889551813603788,-0.17431030268357972,-0.1702414143310378,-0.16660055999403056,-0.1633070939862904,-0.16032447609835998,-0.15706197885114648,-0.1551469805494179},
+{-1.102375280554245,-0.5956626507387099,-0.41677055795847195,-0.33735614102139877,-0.2918914072050143,-0.2626379805104406,-0.24364798529189358,-0.22773167277755846,-0.21532956061842867,-0.20532979228551085,-0.19705539056807453,-0.19008007894624512,-0.1840898634098096,-0.17888166490163115,-0.17429748109639576,-0.17022948303594632,-0.16658940408469647,-0.1632966208954727,-0.16031460708322953,-0.1570576953765226,-0.15513814506638823},
+{-1.1020671518734666,-0.5954863964442616,-0.41667329706747225,-0.3372918070388238,-0.29184406707436494,-0.26261760274596213,-0.2436164677758086,-0.2277050136652079,-0.21530647088195565,-0.20530943827343862,-0.1970371871563188,-0.19006361315293674,-0.18407483930744206,-0.17886785314966858,-0.17428470020628595,-0.1702175917380231,-0.1665782875242101,-0.16328618654353733,-0.16030477627311512,-0.15705338174304728,-0.15512934681951407},
+{-1.1017589543693624,-0.5953102434227766,-0.4165761200808653,-0.33722754254236875,-0.2917967879910748,-0.2625971904248061,-0.2435850027075901,-0.22767840444913645,-0.21528342900816,-0.2052891303023543,-0.19701902838428254,-0.19004719078800747,-0.18405985776250589,-0.1788540829671632,-0.17427196010252288,-0.17020574052438064,-0.16656721040126854,-0.163275791016531,-0.1602949837536798,-0.15704903886453536,-0.1551205858864364},
+{-1.101450688545512,-0.5951341917765873,-0.41647902707561,-0.337163347616773,-0.29174957004349267,-0.2625767437286086,-0.24355359017918943,-0.22765184521465898,-0.2152604350895615,-0.20526886846317893,-0.19700091434116018,-0.19003081193991278,-0.18404491886287389,-0.1788403544424355,-0.1742592608737965,-0.17019392948253653,-0.16655617280020607,-0.16326543440113284,-0.1602852296113042,-0.15704466765452452,-0.1551118623439649},
+{-1.1011423549046846,-0.594958241609266,-0.416382018130129,-0.3370992223467084,-0.29170241332084146,-0.26255626284262235,-0.24352223028662223,-0.22762533605324364,-0.215237489220776,-0.2052486528507771,-0.19698284511699882,-0.1900144767013643,-0.1840300227015419,-0.1788266676638699,-0.17424660260856228,-0.17018215869969566,-0.1665451748105653,-0.16325511678414273,-0.16027551392753736,-0.15704026902746904,-0.1551031762743591},
+{-1.1008339539486762,-0.5947823930231628,-0.4162850933217257,-0.3370351668184419,-0.2916553179096866,-0.2625357479570525,-0.24349092312316145,-0.22759887704905424,-0.21521459149095534,-0.2052284835551319,-0.19696482080007627,-0.18999818516124378,-0.18401516936643958,-0.17881302271795363,-0.17423398539548884,-0.17017042826437034,-0.16653421651695766,-0.1632448382496321,-0.16026583679010997,-0.15703584388973724,-0.15509452775272337},
+{-1.100525486179496,-0.5946066461225037,-0.41618825272894,-0.3369711811162297,-0.29160828389961324,-0.26251519927279077,-0.24345966878252057,-0.22757246829251443,-0.21519174199474378,-0.20520836066960868,-0.19694684148223018,-0.18998193741212788,-0.18400035894559608,-0.17879941969333402,-0.17422140932485064,-0.1701587382616907,-0.16652329800425036,-0.1632345988886854,-0.16025619828162974,-0.15703139315152015,-0.15508591685978956},
+{-1.100216952097572,-0.5944310010106051,-0.4160914964307665,-0.33690726532742943,-0.291561311380633,-0.26249461699205057,-0.24342846736023205,-0.22754610987070123,-0.2151689408240145,-0.20518828428769353,-0.19692890725107048,-0.18996573354474577,-0.18398559153308724,-0.1787858586801221,-0.17420887448513867,-0.17014708878290463,-0.16651241936191497,-0.16322439878480566,-0.16024659848774547,-0.15702691771603838,-0.15507734367474768},
+{-1.0999083522035065,-0.5942554577915686,-0.4159948245066225,-0.33684341953787467,-0.2915144004406045,-0.2624740013284992,-0.24339731895090466,-0.22751980187137377,-0.2151461880715786,-0.20516825450206966,-0.19691101819780954,-0.18994957364791532,-0.18397086721709854,-0.17877233976602014,-0.17419638096792056,-0.17013547991263778,-0.16650158067511,-0.16321423802783386,-0.16023703749442575,-0.15702241848312326,-0.15506880827648217},
+{-1.099599686996612,-0.5940800165690874,-0.4158982370358508,-0.33677964383481296,-0.29146755117133694,-0.2624533525005077,-0.2433662236520462,-0.2274935443866326,-0.21512348383078006,-0.2051482714095627,-0.1968931744144271,-0.18993345781763793,-0.18395618609209663,-0.17875886304239685,-0.17418392886399658,-0.1701239117448594,-0.16649078203474232,-0.16320411670655943,-0.16022751538832836,-0.15701789635198793,-0.15506031074826154},
+{-1.0992909569760059,-0.5939046774479841,-0.4158017340987925,-0.3367159383060354,-0.2914207636612929,-0.26243267072995735,-0.2433351815594591,-0.22746733750488346,-0.21510082819538923,-0.20512833510309036,-0.1968753759915387,-0.18991738614575127,-0.18394154824652276,-0.17874542859799192,-0.1741715182612964,-0.17011238436301568,-0.16648002352400226,-0.16319403490812334,-0.16021803225408604,-0.1570133522151238,-0.15505185117051212},
+{-1.098982162639782,-0.5937294405325204,-0.41570531577562164,-0.33665230303690663,-0.29137403800122996,-0.26241195624761815,-0.24330419276788717,-0.22744118131422653,-0.21507822125748532,-0.2051084456770056,-0.19685762302044907,-0.18990135872397218,-0.18392695376972767,-0.17873203652340663,-0.17415914925280163,-0.17010089786082006,-0.16646930523348402,-0.16318399272149975,-0.16020858817749684,-0.1570087869641199,-0.15504342962331918},
+{-1.0986733044858674,-0.5935543059275936,-0.41560898214766695,-0.3365887381179178,-0.29132737428286504,-0.26239120928672577,-0.2432732573770764,-0.2274150759060234,-0.21505566311080315,-0.20508860322613032,-0.196839915592534,-0.1898853756461918,-0.1839124027561354,-0.1787186869089581,-0.17414682192787723,-0.17008945232464612,-0.16645862724834615,-0.16317399023504464,-0.16019918324577276,-0.15700420147746286,-0.1550350461912302},
+{-1.0983643830109884,-0.5933792737378454,-0.4155127332958841,-0.3365252436364692,-0.2912807725962665,-0.2623704300916785,-0.2432423754825166,-0.22738902137140116,-0.21503315384904909,-0.20506880784796522,-0.19682225380105933,-0.18986943700482328,-0.18389789529531697,-0.17870537984672552,-0.17413453637927745,-0.1700780478439583,-0.16644798965931784,-0.16316402753908932,-0.1601898175442642,-0.15699959663697172,-0.15502670095428073},
+{-1.0980553987119421,-0.5932043440692745,-0.4154165693034244,-0.33646181968180144,-0.29123423303582996,-0.26234961890880015,-0.243211547184508,-0.22736301780095403,-0.2150106935681393,-0.20504905963785092,-0.1968046377383672,-0.18985354289658574,-0.18388343147964292,-0.1786921154267489,-0.1741222926977528,-0.1700666845131309,-0.16643739255506773,-0.1631541047201921,-0.16018049116196664,-0.1569949733169409,-0.15501839399755823},
+{-1.0977463520842115,-0.5930295170269915,-0.415320490250739,-0.33639846634264714,-0.29118775568982613,-0.2623287759883084,-0.2431807725789028,-0.2273370652851412,-0.2149882823592435,-0.2050293586896217,-0.19678706749694186,-0.1898376934139563,-0.1838690113996293,-0.17867889374041823,-0.17411009097548913,-0.17005536241847352,-0.16642683602122332,-0.1631442218705672,-0.16017120418264597,-0.15699033238198723,-0.15501012540264725},
+{-1.0974372436234,-0.5928547927163024,-0.41522449622196334,-0.33633518370851334,-0.29114134065320485,-0.26230790159286954,-0.24315005176826077,-0.22731116391686612,-0.2149659203202532,-0.20500970510344985,-0.19676954317228734,-0.18982188865317795,-0.18385463515029699,-0.1786657148826407,-0.1740979313051625,-0.17004408165266938,-0.16641632014722063,-0.1631343790792954,-0.16016195669556055,-0.15698567469657831,-0.15500189525564423},
+{-1.0971280738237716,-0.5926801712435683,-0.4151285872988737,-0.33627197186901014,-0.2910949880171714,-0.26228699597965033,-0.2431193848475246,-0.227285313785913,-0.2149436075427218,-0.20499009897219622,-0.19675206485405283,-0.18980612870785052,-0.18384030282046382,-0.17865257894241893,-0.1740858137775092,-0.17003284230577265,-0.1664058450237036,-0.16312457643561373,-0.16015274878668606,-0.1569810011153976,-0.1549937036386808},
+{-1.09681884317947,-0.5925056527151646,-0.4150327635664155,-0.33620883091634823,-0.2910486978753042,-0.2622660594224442,-0.24308877191980116,-0.22725951498743768,-0.2149213441223452,-0.2049705403952231,-0.19673463263963953,-0.18979041367531835,-0.18382601450262825,-0.17863948601505086,-0.17407373848664776,-0.17002164447022494,-0.1663954107385237,-0.1631148140298535,-0.1601435805463396,-0.15697631248599464,-0.15498555063825847},
+{-1.0965095521838144,-0.5923312372374845,-0.414937025107843,-0.3361457609383436,-0.2910024703222902,-0.2622450921926571,-0.2430582130829464,-0.22723376761172176,-0.21489913015410878,-0.20495102946895116,-0.19671724662278933,-0.1897747436504531,-0.18381177029034035,-0.17862643619220364,-0.1740617055252045,-0.17001048823643572,-0.16638501738193412,-0.16310509195211154,-0.1601344520603547,-0.15697160965221713,-0.154977436336722},
+{-1.0962002013293741,-0.5921569249170524,-0.41484137200775706,-0.3360827620289797,-0.2909563054499529,-0.2622240945692269,-0.24302770843897292,-0.22720807175319635,-0.21487696573360893,-0.20493156629169818,-0.1966999068963844,-0.18975911873142337,-0.18379757027665988,-0.17861342956811654,-0.17404971498591237,-0.169999373698829,-0.16637466504339216,-0.16309541029262675,-0.16012536341784767,-0.1569668934494075,-0.15496936082354296},
+{-1.0958907911083067,-0.5919827158605244,-0.4147458043502432,-0.3360198342773515,-0.2909102033533486,-0.262203066837543,-0.24299725808887018,-0.22718242750429596,-0.21485485095637813,-0.2049121509608014,-0.1966826135595383,-0.18974353901455743,-0.18378341455440506,-0.1786004662370999,-0.17403776696377804,-0.1699883009482832,-0.16636435381365544,-0.16308576914391892,-0.16011631470779264,-0.1569621647084034,-0.15496132418346775},
+{-1.0955813220126025,-0.5918086101757929,-0.41465032222213694,-0.3359569777765685,-0.2908641641273064,-0.2621820092813394,-0.24296686213302365,-0.2271568349594162,-0.2148327859162933,-0.20489278357173646,-0.19666536670348478,-0.1897280045965104,-0.18376930321443297,-0.17858754629086349,-0.174025861548337,-0.16997727007697705,-0.16635408378122918,-0.16307616859309348,-0.1601073060166982,-0.1569574242442826,-0.1549533265010794},
+{-1.095271794532927,-0.5916346079695636,-0.4145549257074954,-0.3358941926184116,-0.29081818786558955,-0.26216092219902265,-0.24293652067373728,-0.2271312942117234,-0.21481077071225485,-0.20487346422476094,-0.19664816642599448,-0.18971251557477586,-0.18375523635218372,-0.17857466982660952,-0.1740139988373528,-0.16996628117814794,-0.16634385503999738,-0.16306660873387102,-0.1600983374377094,-0.1569526728755477,-0.15494536786743396},
+{-1.0949622091594229,-0.5914607093501161,-0.4144596148928592,-0.33583147889595466,-0.2907722746654642,-0.26213980588680386,-0.2429062338125334,-0.22710580535658664,-0.21478880543702417,-0.2048541930176242,-0.19663101282274198,-0.1896970720483253,-0.18374121405964416,-0.17856183693724859,-0.17400217892311076,-0.1699553343457012,-0.16633366767887736,-0.16305708965552412,-0.16008940905739166,-0.1569479114073502,-0.15493744836679468},
+{-1.0946525663819706,-0.5912869144248702,-0.41436438986497137,-0.3357688367024494,-0.2907264246197485,-0.26211866064613076,-0.24287600165195755,-0.227080368488906,-0.21476689019039696,-0.20483497004944695,-0.19661390599161166,-0.1896816741180345,-0.18372723643205546,-0.17854904771972002,-0.17399040190294102,-0.16994442967405377,-0.16632352179306764,-0.16304761145366342,-0.16008052096922398,-0.15694314064084836,-0.15492956809060843},
+{-1.0943428666900843,-0.5911132233026812,-0.41426925071170473,-0.3357062661305932,-0.2906806378279825,-0.2620974867867858,-0.24284582429637425,-0.22705498370251576,-0.2147450250671099,-0.20481579541679196,-0.1965968460276173,-0.18966632187808585,-0.18371330356057314,-0.17853630226736783,-0.17397866786756566,-0.16993356725500774,-0.16631341746937522,-0.163038174214293,-0.1600716732584786,-0.1569383613643538,-0.15492172712355057},
+{-1.0940331105721484,-0.590939636092159,-0.41417419751932627,-0.33564376727456136,-0.2906349143835243,-0.2620762846151692,-0.2428157018462329,-0.22702965109372286,-0.21472321016341311,-0.20479666921879414,-0.19657983302682425,-0.18965101543233231,-0.18369941553995517,-0.17852360067659845,-0.17396697691211216,-0.16992274718376166,-0.16630335480416392,-0.16302877802988291,-0.1600628660169292,-0.15693357436214228,-0.1549139255593346},
+{-1.0937232985159042,-0.590766152901189,-0.4140792303755916,-0.3355813402285577,-0.2905892543843862,-0.262055054451622,-0.24278563440640255,-0.22700437075791058,-0.21470144557741122,-0.2047775915556116,-0.19656286709049908,-0.18963575487731532,-0.18368557246498796,-0.17851094304395332,-0.1739553291345075,-0.1699119695528708,-0.16629333389002454,-0.16301942299547534,-0.16005409933850245,-0.15692878040903224,-0.15490616348611752},
+{-1.093413431009175,-0.5905927738391874,-0.4139843493695814,-0.3355189850870133,-0.29054365792852366,-0.26203379661549064,-0.2427556220820577,-0.2269791427934038,-0.2146797314077844,-0.20475856252571845,-0.19654594831339978,-0.18962054031686648,-0.18367177443234084,-0.17849832946694022,-0.17394372462905494,-0.16990123446075955,-0.16628335482204903,-0.16301010920226844,-0.16004537331264146,-0.15692398027527332,-0.15489844099521122},
+{-1.0931035085385972,-0.5904194990152654,-0.41388955458927157,-0.3354567019462351,-0.29049812511206596,-0.26201251142752113,-0.2427256649757723,-0.22695396729397999,-0.21465806774992302,-0.20473958222841304,-0.1965290767943202,-0.1896053718495878,-0.18365802153392963,-0.1784857600404024,-0.17393216349159246,-0.16989054199913056,-0.16627341769204662,-0.16300083673988297,-0.16003668803072202,-0.15691917471765748,-0.15489075817754383},
+{-1.0927935315907895,-0.5902463285394326,-0.4137948461236043,-0.33539449089849427,-0.2904526560334162,-0.2619911992190538,-0.24269576319260722,-0.2269288443580919,-0.21463645470146986,-0.20472065076028656,-0.19651225263130812,-0.18959024957585058,-0.183644313862402,-0.17847323486135735,-0.17392064581571987,-0.16987989226362288,-0.16626352259433475,-0.16299160570302007,-0.16002804358416967,-0.15691436448889817,-0.1548831151236314},
+{-1.0924835006510882,-0.5900732625217486,-0.4137002240638701,-0.3353323520427409,-0.2904072507914748,-0.26196986031953173,-0.24266591683799987,-0.2269037740830413,-0.2146148923626967,-0.2047017682245098,-0.19649547592400296,-0.18957517360076537,-0.18363065151690705,-0.17846075403007688,-0.1739091717011405,-0.16986928535134638,-0.16625366962480825,-0.1629824161838016,-0.16001944006481494,-0.15690955033443998,-0.15487551192806137},
+{-1.092173416204762,-0.5899003010713422,-0.4136056884973449,-0.33527028547425886,-0.2903619094827974,-0.26194849506588014,-0.24263612601563267,-0.2268787565652275,-0.21459338082992474,-0.20468293471607524,-0.19647874676770272,-0.1895601440208594,-0.18361703459027723,-0.17844831763998314,-0.1738977412403102,-0.1698587213538545,-0.16624385887673299,-0.16297326827453418,-0.16001087756702503,-0.15690473298448637,-0.1548679486812503},
+{-1.091863278736401,-0.5897274442994558,-0.41351123951677593,-0.33520829128884344,-0.2903166322110735,-0.2619271037993087,-0.2426063908333731,-0.22685379190514965,-0.21457192020424287,-0.20466415034078977,-0.1964620652671769,-0.18954516094364493,-0.18360346318153375,-0.1784359257936643,-0.17388635453505685,-0.16984820037273352,-0.16623409044976256,-0.16296416207021736,-0.16000235618472658,-0.15689991317325536,-0.15486042547995993},
+{-1.0915530887300697,-0.5895546923166606,-0.4134168772119651,-0.33514636958527433,-0.29027141907081244,-0.26190568686000404,-0.24257671139503145,-0.22682888019911474,-0.214550510581752,-0.20464541519270796,-0.1964454315172759,-0.18953022446955714,-0.18358993738377194,-0.17842357858697255,-0.1738750116768344,-0.1698377224977463,-0.1662243644362036,-0.16295509766057137,-0.15999387600663084,-0.1568950916164482,-0.15485294241297254},
+{-1.0912428466692319,-0.5893820452332577,-0.41332260167406787,-0.3350845204584587,-0.2902262701640339,-0.2618842445974323,-0.24254708780801337,-0.2268040215463003,-0.21452915206441503,-0.20462672937425452,-0.19642884562088625,-0.18951533470187343,-0.1835764572936256,-0.1784112761192418,-0.17386371276764123,-0.16982728783055023,-0.16621468093448044,-0.16294607514343085,-0.15998543713020297,-0.15689026902847303,-0.15484549957864147},
+{-1.0909325530367049,-0.5892095031615021,-0.413228412994723,-0.3350227440076381,-0.29018118559041284,-0.2618627773583526,-0.24251752017944028,-0.22677921604648787,-0.21450784474871654,-0.20460809298399596,-0.19641230767523865,-0.18950049174485883,-0.183563023007558,-0.17839901848958561,-0.17385245790339354,-0.1698168964629332,-0.16620504003996217,-0.16293709460885708,-0.15997703964855958,-0.1568854461102802,-0.1548380970701828},
+{-1.0906222083146027,-0.5890370662118691,-0.4131343112660453,-0.3349610403305263,-0.2901361654505692,-0.26184128550109165,-0.24248800861336406,-0.22675446379783182,-0.2144865887364915,-0.20458950612441384,-0.1963958177819194,-0.1894856957013218,-0.18354963462265061,-0.17838680579728106,-0.17384124718026328,-0.16980654849444932,-0.16619544185012103,-0.16292815615387468,-0.15996868365444783,-0.15688062356081645,-0.15483073498207744},
+{-1.0903118129854512,-0.5888647344975304,-0.41304029658160957,-0.3348994095271607,-0.2900912098483417,-0.2618197693811197,-0.2424585532206791,-0.2267297649031832,-0.21446538412815386,-0.20457096889538917,-0.19637937604233002,-0.18947094667760922,-0.18353629223702228,-0.17837463814372256,-0.173830080699922,-0.16979624402146953,-0.16618588646375798,-0.1629192598701863,-0.15996036924613577,-0.15687580206662233,-0.1548234134100568},
+{-1.0900013675297977,-0.5886925081297392,-0.4129463690327668,-0.3348378516949424,-0.29004631888052756,-0.2617982293577441,-0.242429154105551,-0.22670511945921135,-0.21444423102237664,-0.20455248139548132,-0.19636298255561258,-0.18945624477731116,-0.1835229959475484,-0.1783625156278248,-0.1738189585568506,-0.16978598313942683,-0.16617637397580154,-0.16291040585299754,-0.15995209651492104,-0.1568709823074812,-0.15481613244839565},
+{-1.0896908724286334,-0.5885203872210241,-0.41285252871404055,-0.3347763669334256,-0.2900014926521237,-0.2617766657972851,-0.24239981137829147,-0.22668052756881707,-0.2144231295223591,-0.20453404372754136,-0.19634663742508707,-0.1894415901051758,-0.18350974585146673,-0.1783504383502077,-0.1738078808539214,-0.16977576594759114,-0.16616690448650218,-0.16290159419774142,-0.15994386555674112,-0.1568661649570373,-0.15480889219507077},
+{-1.0893803281621324,-0.5883483718841838,-0.4127587757186397,-0.3347149553425055,-0.28995673126368615,-0.2617550790628371,-0.24237052514518354,-0.22665598933112818,-0.21440207972568714,-0.20451565599117316,-0.19633034074693256,-0.18942698276734404,-0.1834965420475072,-0.1783384064130331,-0.17379684768640402,-0.16976559254189283,-0.16615747809157,-0.16289282500105173,-0.15993567646987117,-0.15686135067952733,-0.15480169274280797},
+{-1.0890697352097263,-0.5881764622324575,-0.4126651101411909,-0.33465361702359075,-0.28991203481850647,-0.26173346952781174,-0.24234129551484074,-0.2266315048492018,-0.21438108173698112,-0.20449731828750117,-0.19631409262900945,-0.18941242286940962,-0.1834833846339805,-0.1783264199149457,-0.17378585915559341,-0.16975546301944888,-0.16614809489122706,-0.1628840983555193,-0.15992752934798915,-0.15685654013172723,-0.15479453419041533},
+{-1.088759094050932,-0.5880046583793401,-0.41257153207662967,-0.3345923520751981,-0.2898674034209634,-0.26171183756461147,-0.24231212259588375,-0.22660707422356552,-0.2143601356550917,-0.20447903071818274,-0.1962978931694792,-0.18939791051732868,-0.18347027370970181,-0.17831447895977703,-0.17377491536123557,-0.16974537748019003,-0.1661387549824056,-0.16287541435720243,-0.15991942428910733,-0.15685173396438046,-0.15478741663257978},
+{-1.0884484051640015,-0.5878329604381562,-0.4124780416193836,-0.3345311606008039,-0.28982283717135005,-0.2616901835470955,-0.24228300649708956,-0.2265826975569709,-0.21433924158396422,-0.20446079338593393,-0.1962817424700205,-0.18938344581840028,-0.18345720937524845,-0.17830258364925555,-0.17376401640331096,-0.16973533601849766,-0.1661294584658961,-0.16286677310359465,-0.15991136138952555,-0.1568469328171176,-0.1547803401644643},
+{-1.08813766902664,-0.5876613685227525,-0.4123846388646406,-0.33447004269874014,-0.28977833617577176,-0.26166850785756424,-0.2422539473288836,-0.22655837495224063,-0.21431839962557575,-0.20444260639030176,-0.19626564063603524,-0.1893690288807406,-0.18344419172940007,-0.17829073408590546,-0.17375316238273797,-0.16972533873750706,-0.16612020544035744,-0.16285817469007924,-0.15990334074606238,-0.15684213732767915,-0.15477330488555907},
+{-1.0878268861168578,-0.5874898827482227,-0.41229132391016776,-0.33440899847362004,-0.2897339005374633,-0.26164681087274033,-0.24222494519832338,-0.22653410651039252,-0.21429760988045388,-0.20442446983340545,-0.19624958776531543,-0.1893546598081599,-0.18343122087119212,-0.17827893036987774,-0.17374235339708122,-0.1697153857310596,-0.16611099600198287,-0.16284961921334684,-0.15989536245475477,-0.15683734811739924,-0.15476631088831994},
+{-1.0875160569117384,-0.5873185032283814,-0.4121980968505454,-0.3343480280266533,-0.28968953036226,-0.26162509298151804,-0.24219600021676513,-0.22650989233639507,-0.2142768724558195,-0.2044063838197161,-0.19623358396622592,-0.1893403387109558,-0.18341829690199773,-0.17826717260731328,-0.1737315895510534,-0.16970547710003103,-0.16610183025395742,-0.16284110677144525,-0.15988742661829036,-0.15683256581036886,-0.15475935827394238},
+{-1.087205181887171,-0.5871472300788909,-0.41210495778290124,-0.3342871314592628,-0.2896452257539437,-0.2616033545682015,-0.24216711249361111,-0.2264857325334404,-0.21425618745109887,-0.20438834844931364,-0.19621762933711295,-0.18932606569515542,-0.1834054199232824,-0.1782554609009992,-0.17372087094514654,-0.16969561294333602,-0.16609270829393097,-0.16283263745935272,-0.15987953333148397,-0.15682779101673816,-0.15475244713474012},
+{-1.086894261519511,-0.5869760634139958,-0.41201190680481403,-0.3342263088775397,-0.2896009868180016,-0.2615815960225234,-0.24213828213810729,-0.2264616272062554,-0.21423555497176494,-0.20437036382647022,-0.19620172398494162,-0.18931184087207242,-0.18339259003695219,-0.17824379535328916,-0.17371019768017248,-0.16968579336155898,-0.1660836302229285,-0.1628242113788474,-0.1598716826954032,-0.1568230243419606,-0.15474557757008256},
+{-1.0865832962840187,-0.5868050033509036,-0.41191894401437423,-0.33416556038178413,-0.28955681366046804,-0.2615598177384797,-0.24210950926242703,-0.2264375764571227,-0.21421497512206145,-0.20435243005216108,-0.19618586801082216,-0.18929766434589368,-0.18337980733999615,-0.17823217606667185,-0.1736995698579804,-0.16967601845124847,-0.16607459613842934,-0.16281582862356458,-0.15986387480627684,-0.15681826638306973,-0.1547387496743582},
+{-1.0862722866559302,-0.5866340500044522,-0.4118260695086846,-0.33410488607656674,-0.2895127063875904,-0.2615380201059381,-0.24208079397592996,-0.22641358039302872,-0.21419444800547893,-0.20433454723139022,-0.19617006151852223,-0.18928353622763439,-0.18336707193812884,-0.17822060314793475,-0.17368898758051898,-0.16966628831339392,-0.16606560614248167,-0.16280748929441557,-0.1598561097638651,-0.15681351772892782,-0.1547319635454869},
+{-1.0859612331089892,-0.5864632034909434,-0.41173328338667403,-0.33404428606772285,-0.28946866510565883,-0.2615162035263552,-0.24205213638812495,-0.2263896391175706,-0.21417397372750457,-0.20431671546744923,-0.19615430461465166,-0.1892694566270947,-0.18335438393394554,-0.17820907670102315,-0.17367845095164824,-0.16965660304857266,-0.16605666033610333,-0.16279919349086924,-0.15984838767139564,-0.15680877896512158,-0.15472521927992489},
+{-1.0856501361177138,-0.5862924639272471,-0.4116405857471719,-0.3339837604567606,-0.2894246899228321,-0.261494368396626,-0.24202353661221565,-0.2263657527368892,-0.2141535523941016,-0.20429893486416262,-0.1961385974013865,-0.1892554256519503,-0.18334174343007703,-0.1781975968312608,-0.17366796007378582,-0.16964696275883995,-0.16604775881867084,-0.16279094130949545,-0.15984070862734256,-0.1568040506670414,-0.15471851697513017},
+{-1.0853389961551976,-0.5861218314303152,-0.4115479766899739,-0.3339233093529259,-0.2893807809448745,-0.2614725151191024,-0.24199499475955122,-0.22634192135903675,-0.214133184110338,-0.20428120552703177,-0.19612293998604713,-0.18924144341355031,-0.1833291505299144,-0.178186163643673,-0.17365751505211335,-0.16963736754378544,-0.16603890169181312,-0.16278273285276867,-0.1598330727317645,-0.15679933340334884,-0.15471185672718235},
+{-1.085027813694083,-0.5859513061177246,-0.41145545631443525,-0.33386293285850854,-0.28933693828160045,-0.2614506440978559,-0.2419665109410758,-0.22631814508847015,-0.21411286898253934,-0.20426352755879407,-0.19610733247248646,-0.18922751002033777,-0.18331660533475258,-0.1781747772422122,-0.1736471159873929,-0.16962781750606126,-0.16603008905591565,-0.16277456821891434,-0.15982548008581432,-0.15679462773747588,-0.15470523863262997},
+{-1.0847165892073463,-0.5857808881067541,-0.4113630247215809,-0.33380263108058017,-0.28929316203977606,-0.26142875573583524,-0.2419380852707249,-0.22629442403447086,-0.21409260711755707,-0.20424590106663487,-0.19609177496668195,-0.1892136255837329,-0.183304107952992,-0.17816343773550614,-0.1736367629867459,-0.16961831274861083,-0.1660213210129271,-0.16276644750927005,-0.1598179307923573,-0.15678993422603327,-0.1546986627893432},
+{-1.0844053231664148,-0.5856105775155811,-0.41127068201092953,-0.33374240412501166,-0.2892494523278515,-0.2614068504427962,-0.24190971785412785,-0.2262707582997905,-0.21407239862126204,-0.20422832615276576,-0.19607626757216678,-0.18919979021079314,-0.18329165848420104,-0.17815214522634193,-0.17362645615241945,-0.1696088533702138,-0.16601259766193976,-0.16275837082224598,-0.15981042495150888,-0.15678525341490968,-0.15469212929295395},
+{-1.0840940160427763,-0.585440374462511,-0.4111784282839466,-0.3336822520988676,-0.2892058092572185,-0.26138492862931173,-0.241881408811075,-0.2262471479976682,-0.2140522436034189,-0.20421080292744875,-0.19606081040011247,-0.18918600401504193,-0.18327925703768244,-0.17814089982490344,-0.17361619559219577,-0.16959943947873768,-0.16600391910863266,-0.1627503382629456,-0.15980296266884153,-0.15678058584967403,-0.15468563824245507},
+{-1.0837826683076308,-0.5852702790665099,-0.4110862636430852,-0.33362217510984493,-0.28916223293433774,-0.2613629907054573,-0.24185315824996678,-0.22622359323408148,-0.21403214216836375,-0.20419333149410335,-0.19604540355186373,-0.18917226710719603,-0.18326690371692678,-0.1781297016343686,-0.17360598140643901,-0.16959007117325342,-0.1659952854517286,-0.1627423499293883,-0.1597955440426233,-0.15677593206481077,-0.15467918973003236},
+{-1.083471280430789,-0.5851002914458334,-0.4109941881889796,-0.33356217326267057,-0.28911872347070044,-0.2613410370869289,-0.24182496628430528,-0.22620009411828335,-0.21401209442755942,-0.20417591196064677,-0.19603004713896155,-0.189158579597418,-0.1832545986277836,-0.17811855076392646,-0.17359581370625676,-0.16958074856257355,-0.16598669679506628,-0.16273440592507882,-0.1597881691791585,-0.15677129259331224,-0.1546727838596169},
+{-1.0831598528828223,-0.5849304117209613,-0.4109022020244879,-0.3335022466683455,-0.2890752809762702,-0.2613190681844486,-0.24179683302759258,-0.22617665075819815,-0.21399210048896578,-0.20415854443302806,-0.1960147412645341,-0.1891449415968509,-0.18324234187757327,-0.17810744732103245,-0.17358569259567247,-0.16957147174812803,-0.16597815323958542,-0.16272650635227137,-0.15978083817955735,-0.1567666679555515,-0.1546664207220445},
+{-1.082848386132536,-0.5847606400108987,-0.4108103052522125,-0.3334423954329324,-0.28903190556097513,-0.2612970844209457,-0.24176875858956492,-0.22615326326570795,-0.21397216046086243,-0.20414122902086973,-0.19599948603941186,-0.18913135321619023,-0.18323013357028373,-0.17809639141236033,-0.17357561817838985,-0.16956224083473614,-0.16596965488837867,-0.16271865131368912,-0.15977355114851122,-0.1567620586696563,-0.15466010041795641},
+{-1.082536880649812,-0.5845909764365658,-0.4107184979763616,-0.3333826196671197,-0.2889885973394044,-0.2612750862144395,-0.24174074308886873,-0.2261299317507124,-0.21395227445425036,-0.20412396583299852,-0.19598428157219416,-0.18911781456947807,-0.1832179738174773,-0.1780853831471063,-0.1735655905637472,-0.16955305593153014,-0.16596120184621554,-0.16271084091127364,-0.1597663081919265,-0.15675746524800616,-0.1546538230431267},
+{-1.0822253369024004,-0.5844214211178489,-0.4106267802995873,-0.333322919478789,-0.2889453564179547,-0.26125307398154973,-0.2417127866339044,-0.22610665632267057,-0.2139324425774447,-0.20410675497505792,-0.19596912796754395,-0.18910432576549852,-0.1832058627225237,-0.17807442263096362,-0.17355560985761542,-0.1695439171391726,-0.16595279421289888,-0.1627030752484373,-0.1597591094099755,-0.1567528881940916,-0.15464758869303807},
+{-1.0819137553584497,-0.5842519741757322,-0.410535152326581,-0.3332632949775274,-0.2889021829124587,-0.2612310481496891,-0.24168488934304122,-0.2260834370941751,-0.2139126649437202,-0.20408959655993186,-0.19595402533914097,-0.18909088691863474,-0.18319380039572764,-0.1780635099745993,-0.17354567616902727,-0.16953482457022062,-0.16594443209406506,-0.16269535443144179,-0.15975195491091654,-0.15674832800970506,-0.15464139746679706},
+{-1.0816021364858344,-0.5840826357315443,-0.41044361416093267,-0.333203746272531,-0.28885907693301505,-0.26120900913751655,-0.24165705132597282,-0.2260602741758646,-0.21389294166101536,-0.20407249069605626,-0.19593897379181868,-0.1890774981390848,-0.18318178694491394,-0.17805264528772824,-0.17353578960307914,-0.16952577832725524,-0.165936115592757,-0.16268767856353605,-0.15974484479877304,-0.15674378518939847,-0.1546352494612293},
+{-1.0812904807511217,-0.5839134059069373,-0.41035216590961454,-0.3331442734759449,-0.2888160385938576,-0.2611869573746475,-0.24162927269905765,-0.2260371676797348,-0.21387327284357127,-0.20405543749331656,-0.19592397343993895,-0.18906415954079137,-0.18316982247931435,-0.17804182867655527,-0.17352595026716244,-0.169516778517405,-0.16592784481185419,-0.16268004774677536,-0.1597377791787622,-0.15673926021835882,-0.15462914477193124},
+{-1.080978788621369,-0.5837442848244443,-0.41026080767620243,-0.3330848766972494,-0.28877306800833935,-0.26116489328672543,-0.24160155357596835,-0.22601411772014757,-0.21385365860021466,-0.20403843706490932,-0.19590902438967817,-0.18905087123545883,-0.18315790710722268,-0.17803106025246507,-0.1735161582720508,-0.16950782525098873,-0.16591961985820092,-0.1626724620891835,-0.1597307581570817,-0.15673475358168076,-0.15462308349633958},
+{-1.0806670605628312,-0.5835752726060441,-0.410169539567498,-0.333025556048689,-0.28873016528859097,-0.26114281730071554,-0.24157389407190522,-0.2259911244097026,-0.21383409904706951,-0.2040214895219421,-0.19589412675404105,-0.18903763333707246,-0.18314604094054943,-0.17802034012584755,-0.17350641372569697,-0.16949891863511368,-0.16591144083257348,-0.1626649216962548,-0.15972378184157066,-0.15673026575518634,-0.15461706573100287},
+{-1.0803552970406862,-0.5834063693738365,-0.41007836168908085,-0.3329663116395736,-0.2886873305498412,-0.2611207298488054,-0.2415462943008322,-0.22596818786120565,-0.21381459429547078,-0.204004594975828,-0.19587928064525784,-0.1890244459586583,-0.1831342240883842,-0.17800966840600552,-0.17349671673508027,-0.16949005877992107,-0.16590330784467966,-0.1626574266713945,-0.1597168503361317,-0.15672579721356072,-0.15461109157426733},
+{-1.0800434985206664,-0.5832375752519638,-0.40998727414845604,-0.3329071435829576,-0.28864456390578397,-0.2610986313578678,-0.24151875437754455,-0.22594530818897596,-0.21379514445614944,-0.2039877535386907,-0.1958644861689791,-0.18901130921029363,-0.18312245666046323,-0.17799904520212095,-0.1734870674093969,-0.16948124579010226,-0.16589522099489784,-0.1626499771243246,-0.15970996374600333,-0.1567213484177543,-0.15460516112008094},
+{-1.0797316654673885,-0.5830688903635313,-0.4098962770521908,-0.33284805199199496,-0.2886018654721809,-0.2610765222658529,-0.24149127441801,-0.2259224855085904,-0.21377574964741797,-0.20397096532687442,-0.19584974344360262,-0.18899822320783954,-0.18311073876944306,-0.17798847062741174,-0.17347746585846835,-0.16947247977703483,-0.1658871803909605,-0.16264257315955888,-0.15970312218522764,-0.15671691983350655,-0.1545992744674365},
+{-1.0794197983450715,-0.5829003148327985,-0.40980537050865706,-0.3327890369787738,-0.2885592353641542,-0.26105440300134575,-0.2414638545363843,-0.22589971993291869,-0.21375640998015655,-0.20395423045160754,-0.19583505257728007,-0.18898518806491893,-0.1830990705247615,-0.1779779447905625,-0.17346791219190294,-0.16946376085035553,-0.16587918613968355,-0.16263521488342292,-0.15969632575614412,-0.1567125119153232,-0.15459343171213646},
+{-1.0791078976179769,-0.582731848783169,-0.4097145546251397,-0.3327300986574997,-0.2885166736965914,-0.2610322740015789,-0.24143649484926044,-0.22587701158103357,-0.2137371255708942,-0.203937549030357,-0.19582041368590097,-0.18897220389673208,-0.1830874520418888,-0.17796746780545902,-0.17345840651947242,-0.1694550891214277,-0.1658712383468881,-0.16262790240816827,-0.1596895745702156,-0.15670812511631027,-0.15458763295193734},
+{-1.0787959637492115,-0.5825634923409275,-0.40962382951079235,-0.3326712371396354,-0.2884741805868032,-0.26101013570312404,-0.24140919547163975,-0.22585436056539265,-0.21371789653381512,-0.20392092117594274,-0.19580582688045212,-0.1889592708114165,-0.18307588342692327,-0.1779570397793293,-0.17344894894950613,-0.16944646469651303,-0.1658633371168392,-0.16262063583735653,-0.1596828687318208,-0.15670375987898666,-0.15458187828224368},
+{-1.0784839972020386,-0.5823952456301917,-0.4095331952743848,-0.3326124525401326,-0.2884317561495493,-0.2609879885389148,-0.2413819565201507,-0.2258317670054737,-0.21369872298430437,-0.20390434700492932,-0.1957912922728795,-0.18894638892885496,-0.1830643647996908,-0.17794666082805577,-0.17343953959296243,-0.16943788768800516,-0.16585548255887517,-0.16261341528014128,-0.15967620835122176,-0.1566994166478608,-0.15457616779963956},
+{-1.0781719984388083,-0.5822271087759212,-0.4094426520251133,-0.33255374497356627,-0.288389400503398,-0.2609658329517117,-0.24135477810993677,-0.22580923101503458,-0.2136796050387133,-0.20388782663409444,-0.19577680998182956,-0.18893355836062398,-0.1830528962679665,-0.17793633106230544,-0.1734301785596699,-0.1694293582052353,-0.1658476747801103,-0.16260624084733877,-0.15966959354007315,-0.15669509585845276,-0.15457050160210883},
+{-1.0778599679221692,-0.5820590819059923,-0.4093521998742631,-0.33249511455522907,-0.2883471137671165,-0.2609436693795928,-0.24132766035813802,-0.2257867527142281,-0.2136605428136562,-0.20387136017961183,-0.19576238011680402,-0.18892077922065198,-0.18304147794785308,-0.17792605059507594,-0.17342086595974848,-0.16942087635904102,-0.16583991388709762,-0.1625991126452675,-0.15966302440408242,-0.15669079794135854,-0.15456487978596556},
+{-1.0775479061130255,-0.5818911651443948,-0.40926183892967316,-0.33243656140079736,-0.2883048960546688,-0.2609214982601884,-0.2413006033822782,-0.22576433221953351,-0.21364153642575445,-0.2038549477612719,-0.19574800279702487,-0.18890805162661906,-0.1830301099545153,-0.17791581954109148,-0.17341160190641602,-0.16941244226256202,-0.1658321999908452,-0.1625920307881472,-0.15965650105607665,-0.15668652332683308,-0.1545593024494636},
+{-1.0772358134731626,-0.5817233586190085,-0.4091715693037372,-0.33237808562260795,-0.28826274748711,-0.26089932003718985,-0.24127360729664105,-0.22574196964962567,-0.21362258599182837,-0.20383858949441702,-0.19573367813566733,-0.18889537568918513,-0.1830187923978599,-0.17790563801024462,-0.17340238650809425,-0.1694040560252148,-0.16582453319756496,-0.16258499538271565,-0.1596500236057281,-0.15668227243561716,-0.15455376968756696},
+{-1.0769236904632145,-0.581555662456676,-0.40908139110712227,-0.332319687339627,-0.2882206681829871,-0.2608771351504373,-0.2412466722215214,-0.22571966512346364,-0.21360369163177495,-0.20382228549846104,-0.19571940624808803,-0.18888275152740164,-0.18300752539724385,-0.17789550611956173,-0.17339321987834921,-0.16939571775811402,-0.1658169136170926,-0.16257800654214805,-0.15964359216253143,-0.15667804568791865,-0.15454828160092404},
+{-1.0766115375439895,-0.581388076785263,-0.40899130445167486,-0.3322613666676375,-0.2881786582585235,-0.2608549440436434,-0.2412197982699027,-0.22569741875917515,-0.2135848534601763,-0.20380603589257618,-0.1957051872508444,-0.18887017925216298,-0.18299630906528108,-0.17788542397934748,-0.17338410212480682,-0.16938742757246672,-0.16580934135767222,-0.1625710643743119,-0.15963720683819815,-0.15667384349551128,-0.1545428382838807},
+{-1.0762993551751556,-0.5812206017321984,-0.40890130944980285,-0.33220312372338867,-0.28813671783819217,-0.2608327471629792,-0.24119298556380642,-0.22567523067870354,-0.2135660715995229,-0.20378984079657414,-0.19569102126268945,-0.18885765898271245,-0.18298514352012063,-0.17787539170804934,-0.17337503336386106,-0.16937918558211607,-0.16580181653155535,-0.16256416899423698,-0.15963086774582536,-0.15666966627026824,-0.1545374398365027},
+{-1.075987143816576,-0.5810532374263531,-0.40881140621348067,-0.3321449586254204,-0.28809484703709387,-0.2608105449476099,-0.24116623421788574,-0.22565310099962943,-0.21354734616541293,-0.2037737003292719,-0.1956769083992569,-0.18884519083112394,-0.18297402887572645,-0.17786540941743567,-0.17336601370259075,-0.16937099189641458,-0.1657943392461192,-0.16255732051212135,-0.1596245749917884,-0.1566655144165665,-0.1545320863546209},
+{-1.0756749039268385,-0.5808859839956142,-0.4087215948564378,-0.33208687148833604,-0.2880530459782733,-0.26078833784769984,-0.24113954435101448,-0.22563102984217664,-0.2135286772799958,-0.2037576146110709,-0.19566284877888052,-0.18883277491534045,-0.18296296524852096,-0.17785547722527184,-0.17335704325891044,-0.1693628466310244,-0.16578690961566878,-0.16255051904138185,-0.1596183286951529,-0.15666138833901755,-0.15452677794252168},
+{-1.0753626359653268,-0.5807188415701141,-0.40863187549185653,-0.3320288624330985,-0.28801131478173403,-0.2607661263060663,-0.24111291608157615,-0.22560901732821037,-0.21351006505987868,-0.20374158376257867,-0.19564884251625614,-0.1888204113496883,-0.1829519527553316,-0.1778455952422675,-0.17334812214009077,-0.1693547498957031,-0.16577952774736104,-0.1625437646929484,-0.1596121289633956,-0.15665728843151783,-0.1545215146933714},
+{-1.0750503403901774,-0.5805518102782052,-0.40854224823297614,-0.33197093157646407,-0.2879696535677425,-0.2607439107708984,-0.24108634952635555,-0.2255870635789421,-0.21349150962729624,-0.20372560790637095,-0.19563488973572873,-0.18880810025176942,-0.18294099151604826,-0.17783576358927178,-0.17333925046268206,-0.169346701804038,-0.16577219375437835,-0.1625370575820284,-0.15960597591077885,-0.1566532150898965,-0.15451629671026978},
+{-1.0747380176594667,-0.5803848902514979,-0.40845271319626164,-0.3319130790390119,-0.2879280624607361,-0.2607216916897599,-0.24105984480561915,-0.2255651687156046,-0.2134730111036376,-0.20370968716255078,-0.1956209905539268,-0.18879584173701858,-0.18293008164589963,-0.17782598237975122,-0.1733304283372803,-0.16933870246916882,-0.1657649077499599,-0.16253039782037604,-0.15959986965130923,-0.15664916870290568,-0.15451112409478895},
+{-1.074425668230404,-0.5802180816190621,-0.40836327049441934,-0.33185530493863524,-0.28788654157929017,-0.2606994695083813,-0.24103340203571122,-0.22554333285967942,-0.2134545696077268,-0.2036938216517612,-0.19560714509066912,-0.18878363592148162,-0.18291922326408638,-0.1778162517305546,-0.17332165587943393,-0.16933075200336134,-0.16575766984563245,-0.16252378552238156,-0.15959381029534114,-0.1566451496571446,-0.15450599694410982},
+{-1.0741132925601917,-0.5800513845121635,-0.40827392024398534,-0.3317976093963111,-0.28784509104901446,-0.2606772446779573,-0.24100702133841168,-0.2255215561341828,-0.21343618526262986,-0.20367801149774323,-0.19559335346654905,-0.18877148292288126,-0.18290841648858702,-0.17780657175824643,-0.173312933202169,-0.1693228505209703,-0.16575048015305072,-0.16251722080467346,-0.15958779795878542,-0.1566411583341818,-0.15450091536502697},
+{-1.0738008911060426,-0.5798847990619684,-0.40818466256031627,-0.33173999253055086,-0.28780371099072966,-0.26065501764507104,-0.24098070283089612,-0.2254998386601983,-0.2134178581881443,-0.2036622568212394,-0.1955796157995806,-0.18875938285664517,-0.18289766143974617,-0.17779694258162237,-0.17330426042155977,-0.16931499813641437,-0.16574333878711656,-0.1625107037800788,-0.15958183275610338,-0.15663719511329788,-0.15449587945632004},
+{-1.0734884643238374,-0.579718325399945,-0.40809549756047403,-0.33168245446385214,-0.2877624015278357,-0.2606327888611659,-0.2409544466314273,-0.22547818056182223,-0.21339958850690977,-0.20364655774573492,-0.19556593221553698,-0.18874733584138426,-0.18288695823708423,-0.17778736431604614,-0.17329563765043332,-0.16930719496226487,-0.1657362458602094,-0.16250423456222762,-0.15957591479941158,-0.1566332603669096,-0.15449088932469834},
+{-1.073176012669716,-0.5795519636586342,-0.40800642535995735,-0.33162499531565004,-0.28772116278534554,-0.26061055877536177,-0.24092825286120956,-0.22545658196223428,-0.21338137634119647,-0.20363091439291736,-0.19555230283380354,-0.18873534199343567,-0.1828763069989705,-0.17777783708215367,-0.1732870650059226,-0.1692994411124218,-0.16572920148853854,-0.1624978132705479,-0.1595700442066743,-0.15662935446837878,-0.15448594507233082},
+{-1.0728635365989838,-0.5793857139701828,-0.40791744607742686,-0.331567615209444,-0.2876799948862825,-0.2605883278384695,-0.2409021216381717,-0.22543504298488415,-0.21336322181544887,-0.2036153268871317,-0.19553872777726156,-0.18872340143129662,-0.18286570784870548,-0.17776836099667293,-0.17327854260463482,-0.16929173670190067,-0.1657222057842631,-0.16249144001823623,-0.1595642210898376,-0.15662547778293145,-0.15448104680486097},
+{-1.0725510365670523,-0.5792195764668477,-0.4078285598288858,-0.3315103142642428,-0.2876388979566471,-0.2605660965017904,-0.24087605308346127,-0.2254135637530723,-0.21334512505100633,-0.20359979535231787,-0.19552520717112998,-0.18871151427411803,-0.18285516090556797,-0.17775893617919536,-0.17327007056154997,-0.16928408184712396,-0.16571525886617877,-0.16248511492307927,-0.15955844556556542,-0.1566216306781385,-0.154476194630071},
+{-1.072238513028605,-0.5790535512833941,-0.407739766734764,-0.33145309260486755,-0.287597872118468,-0.2605438652132861,-0.24085004731671944,-0.22539214439139243,-0.21332708616985485,-0.20358431990862869,-0.19551174113221492,-0.1886996806359349,-0.18284466628866625,-0.17774956274767817,-0.1732616489949521,-0.16927647666000212,-0.16570836084537888,-0.1624788381004194,-0.15955271774731017,-0.15661781350804915,-0.15447138865275178},
+{-1.0719259664382434,-0.5788876385521249,-0.40765106691131336,-0.33139595035301284,-0.2875569174999555,-0.26052163442996346,-0.240824104456415,-0.22537078502504215,-0.213309105299345,-0.20356890068356392,-0.19549832979230786,-0.18868790063936558,-0.18283422412552142,-0.17774024082402207,-0.1732532780228908,-0.16926892125871973,-0.16570151184127724,-0.1624726096703597,-0.15954703775421564,-0.15661402663715762,-0.15446662898204977},
+{-1.0716133972498696,-0.5787218384082706,-0.4075624604796815,-0.33133888763117625,-0.2875160342273162,-0.26049940460083576,-0.2407982246240863,-0.22534948577747826,-0.21329118256041113,-0.20355353779795848,-0.1954849732714834,-0.18867617440141515,-0.18282383453249196,-0.17773097052744902,-0.17324495776288984,-0.16926141575609677,-0.16569471196844887,-0.16246642974716963,-0.15954140570064368,-0.15661027041127085,-0.15446191572554113},
+{-1.07130080591687,-0.5785561509855128,-0.4074739475578042,-0.33128190456523043,-0.28747522242419166,-0.26047717617800714,-0.2407724079397937,-0.22532824677571028,-0.21327331807876249,-0.2035382313772942,-0.1954716716973266,-0.18866450204226481,-0.18281349763714871,-0.17772175197841733,-0.17323668833535777,-0.16925396027038175,-0.1656879613465989,-0.16246029845240884,-0.15953582170462255,-0.1566065451851486,-0.1544572489937508},
+{-1.070988192893239,-0.5783905764197073,-0.40738552826745433,-0.3312250012775806,-0.2874344822201991,-0.2604549496153794,-0.2407466545240453,-0.22530706814303159,-0.2132555119789572,-0.2035229815456887,-0.19545842519368506,-0.188652883678337,-0.1828032135576123,-0.17771258529641898,-0.17322846985801021,-0.16924655491619234,-0.16568126009049422,-0.16245421590220133,-0.15953028587993856,-0.1566028513039086,-0.15445262889650735},
+{-1.0706755586312404,-0.5782251148461697,-0.40729720272874914,-0.33116817789237274,-0.28739381374062134,-0.26043272536239925,-0.240720964495992,-0.2252859500066009,-0.21323776438516973,-0.2035077884259735,-0.1954452338854722,-0.18864131943178108,-0.18279298242188702,-0.17770347060493918,-0.1732203024515968,-0.16923919981024937,-0.1656746083185041,-0.1624481822155488,-0.1595247983445205,-0.15659918911030246,-0.15444805554324859},
+{-1.070362903583657,-0.5780597664001164,-0.40720897106165665,-0.33111143453537295,-0.2873532171140667,-0.2604105038762583,-0.24069533797795373,-0.22526489249158743,-0.21322007542355692,-0.2034926521455347,-0.19543209790456473,-0.18862980942327567,-0.18278280435252725,-0.17769440802484127,-0.17321218623786905,-0.1692318950697711,-0.16566800614981503,-0.16244219751300903,-0.1595193592183506,-0.15659555894599464,-0.15444352904492575},
+{-1.0700502282022484,-0.5778945312180426,-0.40712083338935656,-0.33105477133253913,-0.28731269247001734,-0.26038828561055993,-0.24066977509195908,-0.22524389572676995,-0.2132024452207517,-0.20347757282836199,-0.19541901737495238,-0.18861835377322933,-0.18277267947328824,-0.17768539768105285,-0.17320412133633312,-0.1692246408125655,-0.16566145370484975,-0.16243626191347715,-0.15951396861809286,-0.1565919611443789,-0.15443904951740706},
+{-1.069737532939559,-0.5777294094370689,-0.4070327898322219,-0.33099818840870654,-0.2872722399332517,-0.2603660710125908,-0.24064427595609317,-0.22522295983537077,-0.21318487390094987,-0.20346255059801877,-0.19540599242460388,-0.1886069526008285,-0.18276260790926102,-0.17767643969243352,-0.1731961078701829,-0.16921743715565185,-0.16565495110049966,-0.16243037553775252,-0.15950862665962262,-0.15658839604103036,-0.15443461706941264},
+{-1.069424818246663,-0.5775644011941594,-0.40694484051364554,-0.33094168588902306,-0.2872318596354333,-0.26034386054024594,-0.24061884069230643,-0.22520208494574234,-0.21316736158914296,-0.203447585580669,-0.19539302318266039,-0.1885956060270786,-0.18275258978351872,-0.1776675341828664,-0.1731881459585125,-0.1692102842163905,-0.16564849845887863,-0.16242453850611582,-0.15950333346286527,-0.1565848639662093,-0.15443023181646254},
+{-1.0691120845746092,-0.577399506626989,-0.40685698555729743,-0.33088526390240247,-0.2871915517045167,-0.2603216546450611,-0.24059346942441096,-0.22518127118573972,-0.21314990841552373,-0.20343267790181585,-0.19538010977740328,-0.1885843141756851,-0.18274262522491114,-0.17765868127731466,-0.17318023572842378,-0.16920318211430896,-0.1656420958995568,-0.16241875093912483,-0.15949808914678698,-0.15658136524480426,-0.15442589387189543},
+{-1.068799332374578,-0.5772347258733319,-0.4067692250855046,-0.33082892257422714,-0.2871513162694157,-0.2602994537811085,-0.2405681622687581,-0.22516051867997078,-0.21313251450322923,-0.2034178276873959,-0.19536725233950136,-0.18857307716574212,-0.18273271435746352,-0.17764988109764346,-0.1731723772992737,-0.16919613096598596,-0.16563574354177746,-0.1624130129570247,-0.15949289383004128,-0.15657790020166118,-0.1544216033488155},
+{-1.0684865620962718,-0.5770700590720921,-0.4066815592233297,-0.3307726620335316,-0.2871111534647426,-0.26027725840484806,-0.24054291935333794,-0.22513982756118622,-0.21311517998292118,-0.20340303506418422,-0.19535445099960924,-0.1885618951230157,-0.18272285730996884,-0.17764113377077706,-0.17316457079621728,-0.16918913089484988,-0.1656294415119106,-0.16240732468537544,-0.1594877476332428,-0.1565744691579951,-0.15441736036520126},
+{-1.0681737741903952,-0.5769055063619319,-0.40659398809465586,-0.3307164824084836,-0.2870710634163842,-0.2602550689643124,-0.24051774079553923,-0.22511919795402946,-0.21309790498035142,-0.20338830015742104,-0.19534170588840993,-0.1885507681685752,-0.18271305420643813,-0.17763243941941198,-0.17315681634095625,-0.16918218201534074,-0.16562318992679792,-0.16240168624170082,-0.15948265067230238,-0.1565710724301539,-0.15441316503225977},
+{-1.0678609691061993,-0.5767410678818834,-0.40650651182488673,-0.3306603838259221,-0.2870310462583916,-0.2602328859183345,-0.24049262672067329,-0.22509862998780505,-0.21308068962370186,-0.20337362309521723,-0.19532901713761675,-0.18853969642616164,-0.18270330517540856,-0.17762379816910823,-0.17314911406040778,-0.16917528445224406,-0.16561698891246834,-0.16239609775220742,-0.15947760307306424,-0.15656771033412298,-0.15440901747108882},
+{-1.0675481472931274,-0.5765767437718452,-0.40641913053882917,-0.33060436641603275,-0.28699110212106405,-0.2602107097155084,-0.2404675772485021,-0.225078123791576,-0.2130635340415239,-0.20335900400208828,-0.19531638487710268,-0.1885286800186492,-0.1826936103432999,-0.17761521014414683,-0.17314146407999687,-0.16916843832434836,-0.16561083858982784,-0.1623905593381494,-0.15947260495084237,-0.15656438318065113,-0.15440491779462917},
+{-1.0672353092002247,-0.5764125341716593,-0.40633184436317293,-0.3305484303075943,-0.2869512311352196,-0.26018854081272735,-0.24044259250180033,-0.2250576794934105,-0.2130464383624613,-0.2033444430078717,-0.1953038092431143,-0.18851771907100812,-0.1826839698397933,-0.17760667547209152,-0.17313386652087814,-0.16916164375114562,-0.16560473908308637,-0.16238507112290534,-0.15946765643052174,-0.1565610912787463,-0.15440086611929615},
+{-1.066922455276515,-0.576248439223292,-0.4062446534250057,-0.33049257563195056,-0.28691143343746006,-0.2601663796641418,-0.24041767260512614,-0.22503729722432553,-0.2130294027162165,-0.2033299402405433,-0.1952912903672157,-0.18850681370898315,-0.18267438379330514,-0.1775981942784881,-0.17312632150933638,-0.16915490085713714,-0.16559869051756948,-0.16237963323090554,-0.15946275763096196,-0.156557834933146,-0.1543968625661165},
+{-1.0666095859701095,-0.5760844590662231,-0.4061575578498662,-0.33043680251807217,-0.2868717091557187,-0.26014422671892845,-0.24039281767960574,-0.2250169771115509,-0.21301242723070146,-0.20331549582676445,-0.1952788283826905,-0.18849596405532765,-0.18266485233153418,-0.1775897666877455,-0.17311882917218213,-0.16914820976072775,-0.1655926930137852,-0.16237424578439885,-0.15945790867332477,-0.1565546144471881,-0.15439290724771126},
+{-1.0662967017284046,-0.575920593842774,-0.40607055776618495,-0.33038111109704715,-0.2868320584267394,-0.26012208243339074,-0.24036802784914357,-0.2249967192874962,-0.21299551203696154,-0.20330110989446837,-0.1952664234258492,-0.1884851702369943,-0.18265537558306022,-0.17758139282920382,-0.17311138963439987,-0.16914157058720036,-0.1655867467008889,-0.16236890890956346,-0.159453109680598,-0.1565514301225619,-0.1543890002867414},
+{-1.0659838030003321,-0.5757568436948617,-0.40598365330181707,-0.3303255015000346,-0.2867924813828182,-0.26009994725982466,-0.24034330323733855,-0.22497652388079814,-0.2129786572640171,-0.20328678257557442,-0.19525407562923647,-0.1884744323812768,-0.1826459536789784,-0.17757307282881385,-0.17310400302289963,-0.16913498345824962,-0.16558085170245818,-0.16236362273092908,-0.15944836077395763,-0.15654828225600426,-0.15438514179999174},
+{-1.0656708902323935,-0.5755932087643245,-0.40589684458599606,-0.3302699738593944,-0.2867529781583045,-0.2600778216508246,-0.24031864396714298,-0.22495639102312737,-0.21296186304330433,-0.20327251399702106,-0.1952417851303494,-0.1884637506124136,-0.18263658674721484,-0.17756480681178743,-0.17309666946235325,-0.1691284484961244,-0.16557500814244008,-0.16235838737079433,-0.15944366207742178,-0.15654517113954114,-0.1543813319064995},
+{-1.0653579638720032,-0.5754296891949124,-0.40581013174663383,-0.3302145283064277,-0.2867135488885211,-0.2600557060594255,-0.24029405016329264,-0.2249363208438382,-0.21294512950341016,-0.20325830428809866,-0.19522955206407744,-0.18845312505865053,-0.18262727492030706,-0.17755659490794784,-0.17308938908136184,-0.16912196582589445,-0.1655692161505513,-0.16235320295865563,-0.1594390137130759,-0.1565420970687228,-0.15437757072628244},
+{-1.0650450243657197,-0.5752662851288974,-0.40572351491437075,-0.33015916497548403,-0.2866741937073627,-0.26003360093680783,-0.2402695219499691,-0.22491631347664054,-0.2129284567798635,-0.20324415358175685,-0.19521737656742744,-0.18844255584836134,-0.18261801832661462,-0.17754843724494407,-0.17308216200521542,-0.16911553557157077,-0.16556347585046893,-0.16234806961727344,-0.1594344158051726,-0.15653906033028164,-0.15437385837869044},
+{-1.0647320721598952,-0.5751029967103776,-0.4056369942182343,-0.33010388399753055,-0.2866349127519925,-0.26001150673874207,-0.24024505945245522,-0.2248963690513932,-0.21291184500136495,-0.20323006200737836,-0.19520525878230188,-0.18843204310944373,-0.1826088170992577,-0.17754033394984248,-0.17307498836287039,-0.16910915785980762,-0.16555778737256333,-0.16234298747464493,-0.15942986847608154,-0.15653606121669839,-0.1543701949878482},
+{-1.0644191077009317,-0.5749398240838133,-0.4055505697904067,-0.3300486855082596,-0.2865957061572857,-0.2599894239125362,-0.24022066279391652,-0.22487648769986635,-0.21289529429911624,-0.20321602969528385,-0.19519319883799824,-0.18842158696869404,-0.18259967136673794,-0.17753228515141473,-0.1730678682788067,-0.16910283281188043,-0.16555215084074604,-0.1623379566551293,-0.1594253718490748,-0.15653310000616472,-0.15436658066960263},
+{-1.0641061314342863,-0.5747767673928195,-0.4054642417601997,-0.3299935696407985,-0.2865565740600573,-0.25996735291403184,-0.24019633210065905,-0.22485666955505224,-0.21287880480861787,-0.20320205677933956,-0.19518119687899116,-0.18841118755765507,-0.18259058126368188,-0.17752429097890143,-0.17306080188424744,-0.16909656055603506,-0.16554656638655274,-0.16233297728654605,-0.15942092605050817,-0.15653017698607385,-0.1543630155483129},
+{-1.06379314380586,-0.5746138267836471,-0.40537801026002285,-0.329938536529653,-0.28651751659753444,-0.2599452941940825,-0.24017206749832098,-0.22483691474948841,-0.2128623766587907,-0.20318814338941849,-0.19516925304286303,-0.18840084500546794,-0.1825815469203107,-0.17751635156010082,-0.17305378930415571,-0.16909034121837152,-0.1655410341362682,-0.16232804949644475,-0.15941653120487587,-0.156527292433303,-0.15435949974619945},
+{-1.0634801452600904,-0.5744510024003944,-0.4052918754223498,-0.32988358631137515,-0.28647853390643263,-0.2599232482021847,-0.24014786911323682,-0.2248172234177872,-0.2128460099880911,-0.20317428966095008,-0.19515736747100476,-0.18839055944405914,-0.1825725684707038,-0.17750846702573853,-0.17304683067011695,-0.16908417492761885,-0.1655355542212007,-0.16232317341361835,-0.15941218743703445,-0.1565244466294473,-0.15435603338536907},
+{-1.0631671362426793,-0.574288294390243,-0.4052058373805636,-0.32982871911996625,-0.2864396261260538,-0.2599012153919418,-0.2401237370713858,-0.22479759568970792,-0.21282970492491415,-0.20316049572443973,-0.19514554030047293,-0.18838033100058738,-0.18256364604543052,-0.1775006375016659,-0.17303992610627006,-0.16907806180765306,-0.165530126769454,-0.16231834916278132,-0.15940789487088836,-0.15652163984741918,-0.15435261659003885},
+{-1.0628541171977588,-0.5741257028992521,-0.4051198962662781,-0.32977393509138153,-0.2864007933924029,-0.25987919620970956,-0.2400996714987471,-0.2247780317019803,-0.21281346160586168,-0.20314676171472001,-0.19513377167202606,-0.18837015980789573,-0.1825547797792595,-0.17749286312158574,-0.17303307574447757,-0.16907200198856032,-0.16552475190988503,-0.1623135768726911,-0.15940365363259446,-0.15651887236363393,-0.1543492494808305},
+{-1.0625410885695423,-0.5739632280728486,-0.4050340522137219,-0.32971923436316075,-0.2863620358461745,-0.2598571911124665,-0.2400756725233819,-0.2247585315872982,-0.21279728016497756,-0.20313308776742645,-0.19512206173038749,-0.188360046000561,-0.18254596980640514,-0.1774851440132963,-0.17302627971339035,-0.16906599559695934,-0.1655194297764382,-0.16230885667222594,-0.15939946385108783,-0.15651614444949757,-0.15434593218340353},
+{-1.0622280508024495,-0.5738008700588821,-0.4049483053563705,-0.329664617070371,-0.2863233536249652,-0.25983520054624876,-0.24005174027167442,-0.22473909548071447,-0.21278116073783337,-0.2031194740146134,-0.19511041061370094,-0.18834998970864092,-0.18253721625954,-0.17747748030895139,-0.17301953814099846,-0.16906004276527398,-0.16551416049700407,-0.16230418869205465,-0.15939532564922132,-0.1565134563746966,-0.1543426648248456},
+{-1.0619150043395535,-0.5736386290062683,-0.4048626558314723,-0.3296100833551918,-0.2862847468706988,-0.2598132249614338,-0.24002787487413002,-0.22471972351844727,-0.21276510345889932,-0.20310592059373533,-0.1950988184655813,-0.1883399910665915,-0.18252851927329772,-0.17746987213690346,-0.17301285115745912,-0.1690541436200803,-0.16550894420404916,-0.16229957305905884,-0.15939123915628528,-0.15651080840866172,-0.1543394475267803},
+{-1.0616019496248263,-0.5734765050628639,-0.40477710377276566,-0.32955563335102767,-0.28624621572223674,-0.2597912648102323,-0.24000407645687005,-0.224700415834306,-0.2127491084641875,-0.2030924276404491,-0.19508728542855636,-0.18833005020758264,-0.18251987898087663,-0.17746231962799897,-0.17300621889145162,-0.16904829829235268,-0.16550378102937913,-0.1622950099038718,-0.15938720449785393,-0.15650820081800276,-0.15433628041763114},
+{-1.061288887101128,-0.5733144983760567,-0.4046916493167174,-0.32950126720007944,-0.286207760321453,-0.2597693205386946,-0.23998034515043543,-0.22468117256557463,-0.2127331758897526,-0.20307899529057494,-0.1950758116452107,-0.18832016726550904,-0.18251129551941858,-0.1774548229153865,-0.172999641476693,-0.16904250691213463,-0.16549867110586547,-0.1622904993560823,-0.15938322180183206,-0.1565056338681714,-0.15433316362392446},
+{-1.0609758172112116,-0.5731526090951462,-0.404606292598757,-0.32944698503888503,-0.2861693808069674,-0.2597473925969638,-0.23995668108086932,-0.22466199384539465,-0.21271730587046278,-0.20306562368028835,-0.19506439725808633,-0.188310342374173,-0.1825027690239125,-0.1774473821301541,-0.17299311903743586,-0.16903676960971836,-0.16549361456568334,-0.16228604154474624,-0.15937929119591132,-0.15650310782208265,-0.1543300972717745},
+{-1.0606627403979232,-0.5729908373702912,-0.40452103375708504,-0.3293927870082385,-0.2861310773236312,-0.25972548143628416,-0.23993308438317484,-0.22464287981527065,-0.2127014985464868,-0.20305231294824466,-0.19505304241619115,-0.18830057567265612,-0.1824942996304344,-0.17743999740401506,-0.17298665170919492,-0.16903108652054755,-0.16548861154353744,-0.16228163660334616,-0.15937541281026313,-0.15650062294306366,-0.15432708149119634},
+{-1.0603496571033517,-0.572829183351061,-0.40443587292796224,-0.32933867324865673,-0.286092850010057,-0.25970358749967204,-0.23990955518442547,-0.22462383060850755,-0.2126857540534104,-0.20303906323162124,-0.19504174725791046,-0.18829086729315492,-0.18248588747523797,-0.17743266886897402,-0.1729802396211042,-0.16902545777338673,-0.16548366217043053,-0.16227728465896973,-0.1593715867712433,-0.1564981794895317,-0.15432411640752974},
+{-1.0600365677693162,-0.5726676471871031,-0.4043508102498805,-0.3292846438985322,-0.286054699011828,-0.2596817112401695,-0.23988609361679636,-0.22460484636344802,-0.21267007252902914,-0.20302587467045896,-0.1950305119323943,-0.18828121737413994,-0.18247753269464795,-0.17742539665904644,-0.17297388290507598,-0.16901988350299035,-0.16547876658442817,-0.16227298584760774,-0.15936781321119753,-0.15649577772317969,-0.15432120215620415},
+{-1.0597234728378986,-0.5725062290304876,-0.4042658458615591,-0.3292306991019416,-0.28601662447046294,-0.2596598531024057,-0.2398626998108142,-0.2245859272193087,-0.21265445411238204,-0.20301274740018016,-0.1950193365818933,-0.18827162605223435,-0.18246923542476168,-0.17741818090797778,-0.17296758169357673,-0.1690143638428765,-0.16547392491709445,-0.16226874029854343,-0.15936409225746218,-0.15649341790108195,-0.15431833886417934},
+{-1.059410372750218,-0.5723449290310114,-0.4041809799017031,-0.32917683899820815,-0.28597862652841144,-0.2596380135344063,-0.239839373898576,-0.2245670733138354,-0.21263889894235177,-0.20299968156312787,-0.1950082213544846,-0.1882620934654824,-0.18246099580569108,-0.17741102175004642,-0.1729613361157547,-0.16900889892603743,-0.16546913730459067,-0.16226454814292168,-0.1593604240391926,-0.1564911002788847,-0.1543155266609162},
+{-1.0590972679478305,-0.5721837473421019,-0.40409621251028227,-0.32912306373087574,-0.2859407053327132,-0.2596161929835503,-0.2398161160125838,-0.22454828478531397,-0.21262340715785655,-0.20298667729865372,-0.1949971663960639,-0.18825261975194252,-0.18245281397288693,-0.17740391931987176,-0.17295514630637143,-0.16900348888896843,-0.16546440388241734,-0.16226040951721643,-0.15935680868959423,-0.15648882511223405,-0.15431276568342867},
+{-1.0587841588713438,-0.5720226841142804,-0.40401154382714566,-0.3290693734424508,-0.2859028610247947,-0.25959439189509936,-0.2397929262872438,-0.22452956177455974,-0.21260797889880934,-0.20297373474645752,-0.1949861718516317,-0.18824320505013503,-0.18244469006643982,-0.17739687375249247,-0.17294901239667837,-0.16899813386523732,-0.16545972478726867,-0.16225632454837324,-0.15935324633878167,-0.15648659265423248,-0.1543100560605879},
+{-1.0584710459616389,-0.571861739500946,-0.4039269739938405,-0.329015768275454,-0.28586509375154634,-0.259572610715729,-0.23976980485480937,-0.22451090442088883,-0.21259261430573417,-0.20296085404711306,-0.19497523787067195,-0.18823384949855182,-0.18243662422327844,-0.17738988518352272,-0.1729429345200657,-0.1689928339916591,-0.165455100155242,-0.16225229337528901,-0.15934973711695477,-0.1564844031599577,-0.15430739792821413},
+{-1.0581579296593375,-0.5717009136551994,-0.4038425031500381,-0.32896224837439547,-0.28582740365691706,-0.25955084989079324,-0.23974675184982175,-0.22449231286410054,-0.2125773135187643,-0.2029480353448747,-0.1949643645969985,-0.18822455323932985,-0.18242861658442422,-0.17738295375218627,-0.1729369128109397,-0.1689875894033932,-0.16545053012274025,-0.1622483161305297,-0.15934628115771687,-0.15648225687669992,-0.15430479142245446},
+{-1.057844810404017,-0.5715402067301127,-0.4037581314392966,-0.32890881388416204,-0.2857897908876268,-0.259529109866655,-0.23972376740735513,-0.22447378724737632,-0.2125620766796601,-0.20293527877718986,-0.1949535521811825,-0.18821531641086864,-0.18242066728915063,-0.17737607959184487,-0.17293094740178816,-0.16898240023855493,-0.1654460148269905,-0.16224439294417436,-0.15934287859151652,-0.15648015405734128,-0.15430223667693355},
+{-1.0575316886359651,-0.571379618880151,-0.4036738590019411,-0.32885546494686224,-0.28575225559042394,-0.25950739108705534,-0.2397008516623984,-0.22445532770893806,-0.21254690393121223,-0.2029225844884195,-0.1949428007687075,-0.18820613915573148,-0.1824127764773067,-0.1773692628439818,-0.17292503842705997,-0.16897726663512458,-0.1654415544050707,-0.16224052395691047,-0.15933952955386843,-0.15647809495203546,-0.15429973383275097},
+{-1.0572185647950825,-0.5712191502595871,-0.4035896859827872,-0.3288022017118166,-0.2857147979115453,-0.2594856939961616,-0.23967800475285372,-0.2244369343932746,-0.2125317954149537,-0.20290995262144662,-0.19493211050986758,-0.18819702161489005,-0.18240494428939513,-0.17736250364605866,-0.17291918602317935,-0.16897218873046427,-0.16543714899429318,-0.1622367092992576,-0.1593362341771467,-0.15647607980710632,-0.15429728302476065},
+{-1.05690543932009,-0.5710588010231419,-0.4035056125249312,-0.3287490243215174,-0.28567741799952984,-0.25946401903912175,-0.23965522681366025,-0.22441860744266506,-0.21251675127529523,-0.20289738332068907,-0.19492148155540434,-0.18818796392924497,-0.18239717086773055,-0.17735580213795288,-0.17291339032402675,-0.16896716666418143,-0.16543279873795314,-0.16223294910891184,-0.15933299259374678,-0.15647410887390123,-0.15429488439497163},
+{-1.056592312650789,-0.5708985713263317,-0.4034216387717251,-0.3286959329233383,-0.28564011599985406,-0.25944236665557696,-0.2396325179821801,-0.22440034699918954,-0.21250177165339323,-0.20288487672717537,-0.19491091404601235,-0.1881789662427309,-0.18238945635099668,-0.17734915845728239,-0.17290765146398712,-0.1689622005740219,-0.16542850376994522,-0.1622292435187873,-0.1593298049389773,-0.15647218239506344,-0.15429253808633803},
+{-1.0562791852257511,-0.5707384613247157,-0.40333776486786377,-0.3286429276648306,-0.28560289206359357,-0.2594207372943984,-0.2396098783975802,-0.22438215320804744,-0.21248685669681322,-0.2028724329885634,-0.19490040814071818,-0.18817002869864297,-0.18238180088399503,-0.17734257274976528,-0.17290196958324344,-0.16895729059991993,-0.1654242642297774,-0.16222559266807224,-0.15932667134774903,-0.15647030061971634,-0.154290244236293},
+{-1.0559660574840635,-0.5705784711755157,-0.4032539909580066,-0.32859000869372323,-0.28556574633827125,-0.2593991313953907,-0.23958730819776264,-0.22436402621257656,-0.2124720065491772,-0.20286005224571824,-0.19488996398364833,-0.18816115144055345,-0.18237420460738463,-0.17733604515058232,-0.17289634481370797,-0.16895243688260564,-0.16542008025929533,-0.16222199669049786,-0.15932359195696222,-0.1564684637905316,-0.15428800299358159},
+{-1.0556529298633244,-0.5704186010335874,-0.4031703171891152,-0.32853717615839173,-0.2855286789736766,-0.25937754939938173,-0.23956480752206488,-0.22434596616021452,-0.2124572213580933,-0.20284773464582884,-0.1948795817278821,-0.18815233461373282,-0.18236666766732412,-0.17732957580772535,-0.17289077729684976,-0.16894763956400283,-0.16541595199704773,-0.16221845572704297,-0.15932056689999285,-0.1564666721539396,-0.1542858145018755},
+{-1.0553398028029868,-0.5702588510582629,-0.4030867437065666,-0.32848443020394313,-0.28549169011999,-0.25935599175058854,-0.23954237651128807,-0.2243279731919614,-0.2124425012652722,-0.20283548033457066,-0.19486926151813577,-0.1881435783600196,-0.18235919020406754,-0.17732316485786015,-0.17288526716757247,-0.16894289878515423,-0.16541187958461023,-0.1622149699103943,-0.15931759631337172,-0.15646492595099915,-0.1542836789079871},
+{-1.0550266767401766,-0.5700992214060108,-0.40300327065706654,-0.3284317709833928,-0.2854547799254519,-0.2593344588856539,-0.23952001530476963,-0.22431004745777727,-0.21242784642196,-0.20282328945551598,-0.1948590035088671,-0.1881348828261551,-0.18235177236234534,-0.17731681244776354,-0.17287981456635038,-0.1689382146876497,-0.16540786316038947,-0.16221153937735266,-0.15931468033416252,-0.1564632254266769,-0.15428159635904137},
+{-1.054713552112652,-0.5699397122353176,-0.402919898188145,-0.32837919864476817,-0.285417948544854,-0.25931295125183595,-0.23949772404518654,-0.22429218910166782,-0.21241325697533142,-0.20281116215726058,-0.19484880785280012,-0.18812624815987533,-0.18234441428860038,-0.17731051871965775,-0.17287441963024008,-0.1689335874132567,-0.16540390286739637,-0.1622081642705666,-0.1593118190996563,-0.15646157082039736,-0.154279567001808},
+{-1.0544004293585587,-0.5697803237044852,-0.4028366264491581,-0.3283267133392016,-0.2853811961272399,-0.25929146928596225,-0.23947550287475394,-0.2242743982740265,-0.21239873307417412,-0.2027990985848973,-0.19483867469577376,-0.1881176745076658,-0.18233711612460723,-0.17730428381702978,-0.17286908249731425,-0.16892901710567543,-0.16539999884524548,-0.16220484472489716,-0.1593090127475847,-0.1564599623785341,-0.15427759099110006},
+{-1.054087308914692,-0.5696210559728812,-0.4027534555858807,-0.32827431521673844,-0.2853445228243032,-0.25927001342565603,-0.2394533519349551,-0.2242566751219499,-0.21238427486688494,-0.20278709888781776,-0.19482860419235948,-0.18810916201601202,-0.18232987802073808,-0.17729810788615197,-0.1728638033123886,-0.1689245039090963,-0.1653961512384825,-0.16220158088047754,-0.15930626141449977,-0.15645840033752734,-0.15427566847503726},
+{-1.0537741912182277,-0.5694619091996387,-0.4026703857488414,-0.3282220044266637,-0.28530792878894573,-0.25924858411321594,-0.23943127136974596,-0.22423901979261984,-0.2123698825039142,-0.20277516320999212,-0.19481859649360445,-0.18810071083161262,-0.1823227001183696,-0.17729199106929627,-0.17285858221064387,-0.16892004796824267,-0.1653923601887186,-0.16219837287638939,-0.1593035652398953,-0.15645688493881948,-0.15427379960533472},
+{-1.0534610767062418,-0.569302883545511,-0.4025874170875028,-0.3281697811243873,-0.2852714141744883,-0.25922718178416204,-0.2394092613228409,-0.22422143243837667,-0.21235555613668566,-0.20276329170400942,-0.19480865174976003,-0.18809232110402263,-0.18231558256785974,-0.17728593351312583,-0.17285341933607867,-0.16891564942726234,-0.16538862583740865,-0.16219522085208382,-0.15930092436302346,-0.15645541642147975,-0.1542719845351428},
+{-1.0531479658150786,-0.5691439791696666,-0.4025045497510078,-0.32811764545927247,-0.28523497913301554,-0.2592058068781995,-0.23938732193948908,-0.22420391320427058,-0.2123412959159836,-0.20275148451362668,-0.19479877011402635,-0.18808399298078626,-0.1823085255138892,-0.17727993536421138,-0.17284831483039653,-0.1689113084285907,-0.16538494832698802,-0.16219212494739565,-0.15929833892208478,-0.15645399502191992,-0.15427022341719976},
+{-1.0528348589816225,-0.568985196234209,-0.4024217838924855,-0.32806559758660825,-0.2851986238211879,-0.2591844598345787,-0.23936545336576387,-0.22418646224813443,-0.21232710199681293,-0.202739741791234,-0.19478895173912747,-0.18807572661476257,-0.18230152910651753,-0.17727399676841316,-0.17284326883370227,-0.1689070251238718,-0.16538132780311798,-0.16218908530250076,-0.15929580905908836,-0.15645262098172452,-0.15426851640617656},
+{-1.052521756642129,-0.568826534900893,-0.4023391196611712,-0.3280136376599856,-0.28516234839009513,-0.2591631410866171,-0.23934365574659466,-0.22416907971606292,-0.2123129745282739,-0.20272806368248553,-0.19477919677686373,-0.1880675221514565,-0.18229459349284838,-0.17726811787187557,-0.17283828149101055,-0.1689027996537078,-0.16537776440812024,-0.16218610205785922,-0.159293334909961,-0.15645129453474738,-0.15426686365283615},
+{-1.052208659232015,-0.568667995330614,-0.4022565572096326,-0.3279617658307501,-0.2851261529984441,-0.259141851074979,-0.2393219292312878,-0.22415176576330254,-0.21229891366853337,-0.2027164503409722,-0.19476950538006577,-0.18805937974637033,-0.1822877188217049,-0.1772622988210628,-0.1728333529448065,-0.16889863217113543,-0.16537425828684604,-0.16218317535633275,-0.1592909166207619,-0.15645001591951768,-0.15426526531526008},
+{-1.0518955671877244,-0.5685095776860578,-0.4021740966903522,-0.3279099822552709,-0.28509003779968367,-0.2591205902303315,-0.2393002739651635,-0.22413452054076544,-0.21228491957001694,-0.20270490191366264,-0.19475987770074,-0.18805129954508004,-0.18228090524086582,-0.1772565397625101,-0.1728284833380087,-0.1688945228172969,-0.16537080958470085,-0.16218030533970307,-0.15928855432888156,-0.1564487853698182,-0.15426372154347234},
+{-1.0515824809446492,-0.568351282130152,-0.4020917382565017,-0.327858287089164,-0.2850540029502113,-0.25909935899269243,-0.23927869009639835,-0.22411734420325047,-0.21227099238948455,-0.20269341855345857,-0.19475031389365682,-0.18804328170585904,-0.18227415290393623,-0.17725084084743514,-0.17282367281866584,-0.16889047174338145,-0.16536741844488745,-0.162177492148885,-0.15928624817776438,-0.15644760312024175,-0.15426223249146176},
+{-1.0512694009386188,-0.5681931088268968,-0.4020094820617146,-0.3278066804871145,-0.28501804860691493,-0.2590781577940149,-0.23925717777601108,-0.2241002369057128,-0.21225713228288612,-0.20268200040892737,-0.1947408141112632,-0.18803532637715392,-0.1822674619569895,-0.177245202220206,-0.17281892152591638,-0.16888647909973997,-0.1653640850135929,-0.1621747359283603,-0.1592839983097747,-0.15644646940678797,-0.15426079831566142},
+{-1.050956327604375,-0.56803505793944,-0.4019273282595961,-0.3277551626065289,-0.2849821749265402,-0.25905698706866787,-0.23923573715218538,-0.22408319880149463,-0.2122433394075074,-0.20267064763302045,-0.1947313785060274,-0.18802743371082897,-0.18226083255282788,-0.1772396240300509,-0.17281422961072224,-0.16888254503186317,-0.1653608094373027,-0.16217203681752324,-0.15928180486692156,-0.15644538445963008,-0.15425941916886643},
+{-1.0506432613774237,-0.5678771296318956,-0.40184527700539263,-0.3277037336022133,-0.2849463820683482,-0.25903584725035955,-0.23921436837650134,-0.22406623004842885,-0.21222961392225415,-0.20265936037662158,-0.19472200723647148,-0.1880196038638573,-0.1822542648439054,-0.17723410642614112,-0.1728095972177215,-0.168878669692063,-0.16535759186135124,-0.1621693949654741,-0.15927966799155513,-0.15644434851192557,-0.1542580952059751},
+{-1.0503302026921446,-0.5677193240695075,-0.40176332845454965,-0.32765239363340726,-0.28491067018773464,-0.2590147387709152,-0.23919307159933112,-0.2240493308016127,-0.21221595598331078,-0.20264813879359167,-0.1947127004504452,-0.1880118369887427,-0.18224775897773782,-0.17722864955774753,-0.17280502449538915,-0.16887485322806128,-0.16535443243395775,-0.16216681051322723,-0.15927758783007562,-0.1564433617949419,-0.15425682657971151},
+{-1.0500171519836812,-0.567561641417555,-0.40168148276296023,-0.3276011428581711,-0.2848750394461277,-0.2589936620638156,-0.23917184697230454,-0.22403250121881513,-0.21220236575231866,-0.20263698303604372,-0.1947034583052556,-0.1880041332400566,-0.18224131510893926,-0.17722325357144086,-0.172800511589017,-0.16887109579243997,-0.16535133130058455,-0.16216428360523594,-0.15927556452628266,-0.15644242453880963,-0.15425561344481764},
+{-1.0497041096864592,-0.567404081841751,-0.4015997400868372,-0.3275499814333429,-0.28483949000138864,-0.25897261756086465,-0.23915069465009253,-0.22401574145811054,-0.21218884338880173,-0.20262589325597702,-0.1946942809546215,-0.1879964927733937,-0.1822349333913138,-0.17721791861961833,-0.17279605864871428,-0.16886739753634572,-0.16534828860903872,-0.16216181438956312,-0.1592735982243454,-0.15644153697114405,-0.1542544559594461},
+{-1.0493910762348264,-0.5672466455087033,-0.4015181005836084,-0.32749890952042904,-0.28480402201424937,-0.2589516056912089,-0.23912961478443862,-0.22399905167802103,-0.21217538905231947,-0.20261486960917807,-0.19468516855402385,-0.18798891574482468,-0.18222861397384804,-0.1772126448511102,-0.17279166582221706,-0.16886375861022884,-0.16534530450726947,-0.1621594030080189,-0.15927168907073508,-0.15644069932508842,-0.1542533542765483},
+{-1.0490780520625975,-0.5670893325846933,-0.4014365644106803,-0.3274479272766584,-0.28476863564612387,-0.2589306268861904,-0.23910860753098007,-0.22398243204097668,-0.21216200290546539,-0.20260391225014018,-0.19467612126163658,-0.18798140231035632,-0.18222235701361456,-0.17720743241740422,-0.17278733326152462,-0.1688601791685045,-0.16534237914734717,-0.1621570496102578,-0.15926983721119825,-0.15643991182768957,-0.15425230855647953},
+{-1.0487650376041202,-0.5669321432365138,-0.4013551317268522,-0.327397034863786,-0.2847333310549942,-0.25890968157417404,-0.23908767304261147,-0.22396588270252238,-0.2121486851090424,-0.20259302133336377,-0.19466713922531653,-0.18797395262637906,-0.18221616266102103,-0.17720228146399108,-0.17278306111427355,-0.16885665936267458,-0.16533951267290092,-0.16215475434141524,-0.1592680427916804,-0.15643917470420377,-0.15425131895575817},
+{-1.048452033293156,-0.5667750776332809,-0.4012738026901985,-0.32734623244184036,-0.2846981084061966,-0.2588887701863385,-0.23906681147747122,-0.22394940382655193,-0.21213543582818062,-0.2025821970148698,-0.19465822260587373,-0.1879665668504913,-0.18221003107119316,-0.17719719214947816,-0.17277884953402634,-0.1688531993441984,-0.1653367052353758,-0.16215251734990943,-0.1592663059604149,-0.15643848818167783,-0.1542503856316273},
+{-1.0481390395633063,-0.5666181359422708,-0.4011925774603782,-0.32729552017188723,-0.2846629678584236,-0.25886789314882463,-0.23904602299010946,-0.22393299557495538,-0.21212225522219796,-0.20257143944772338,-0.19464937155645146,-0.18795924514276408,-0.18220396239776449,-0.17719216461824772,-0.1727746986690306,-0.16884979926832955,-0.1653339569833321,-0.16215033878273744,-0.15926462686657317,-0.15643785248812492,-0.15424950874897547},
+{-1.0478260568478959,-0.5664613183318892,-0.40111145619773936,-0.32724489821848834,-0.28462790957738093,-0.2588470508895213,-0.23902530773864328,-0.22391665810990702,-0.21210914345832776,-0.20256074879363695,-0.1946405862353231,-0.18795198765955945,-0.18219795679674178,-0.1771871990260081,-0.17277060867648686,-0.16884645929074793,-0.16533126806848486,-0.16214821878941166,-0.1592630056563138,-0.15643726785070555,-0.15424868846643847},
+{-1.0475130855804373,-0.5663046249730215,-0.4010304390632271,-0.32719436674049973,-0.28459293372446126,-0.2588262438363813,-0.23900466588214186,-0.22390039159490271,-0.2120961006986093,-0.20255012520597404,-0.19463186679749356,-0.18794479455958424,-0.18219201442208544,-0.17718229552011167,-0.17276657970577958,-0.16884317956349548,-0.1653286386405739,-0.16214615751715655,-0.15926144247855234,-0.1564367344920612,-0.15424792495231543},
+{-1.0472001261942268,-0.5661480560337324,-0.40094952621687696,-0.327143925902007,-0.2845580404634944,-0.2588054724120923,-0.238984097577557,-0.22388419619394284,-0.21208312710933797,-0.20253956884427282,-0.19462321339828748,-0.18793766600312267,-0.18218613542686057,-0.1771774542575031,-0.17276261191224762,-0.16883996024149894,-0.16532606885056111,-0.1621441551150724,-0.1592599374842223,-0.1564362526395371,-0.1542472183700596},
+{-1.0468871791218248,-0.5659916116849502,-0.40086871782080635,-0.3270935758682043,-0.2845232299590137,-0.25878473704685234,-0.2389636029846045,-0.2238680720711841,-0.21207022285387467,-0.2025290798670909,-0.19461462619651115,-0.18793060215013213,-0.1821803199705272,-0.1771726753862879,-0.17275870544975191,-0.16883680148156088,-0.1653235588469073,-0.1621422117338085,-0.1592584908214718,-0.1564358225143394,-0.15424656888347954},
+{-1.0465742447964672,-0.5658352920969989,-0.40078801403877407,-0.3270433168031275,-0.2844885023775703,-0.25876403816494076,-0.23894318226643918,-0.22385201939470534,-0.21205738810049013,-0.20251865843290773,-0.19460610534910927,-0.18792360316446377,-0.1821745682069178,-0.17716795906413552,-0.1727548604745266,-0.1688337034407681,-0.16532110878617345,-0.16214032752355934,-0.15925710264485815,-0.15643544434600187,-0.15424597667085038},
+{-1.0462613236505405,-0.5656790974414818,-0.4007074150319738,-0.32699314887083375,-0.28445385788263877,-0.25874337618635934,-0.2389228355810431,-0.2238360383288054,-0.21204462301388816,-0.2025083047014391,-0.1945976510097438,-0.18791666920198224,-0.18216888029188283,-0.17716330543859726,-0.17275107714010574,-0.1688306662710346,-0.16531871881630877,-0.1621385026360258,-0.15925577310120786,-0.15643511835139634,-0.15424544189325218},
+{-1.0459484161166515,-0.5655230278904995,-0.4006269209645765,-0.3269430722349398,-0.2844192966416159,-0.25872275153729163,-0.23890256309168478,-0.22382012904045467,-0.2120319277596039,-0.20249801883299767,-0.1945892633403048,-0.1879098004265245,-0.18216325638105957,-0.17715871466630517,-0.17274735560435772,-0.16882769013365362,-0.16531638909070523,-0.16213673721894395,-0.15925450233964966,-0.1564348447562054,-0.15424496472553528},
+{-1.0456355226275242,-0.5653670836161027,-0.4005465320017194,-0.3268930870640432,-0.28438481882000133,-0.2587021646386205,-0.23888236496156878,-0.2238042916991816,-0.212019302508061,-0.20248780098927455,-0.19458094249660007,-0.18790299700067692,-0.18215769663352432,-0.17715418689755325,-0.17274369602529305,-0.1688247751826708,-0.16531411976363586,-0.16213503142614627,-0.15925329051897563,-0.15643462378250206,-0.15424454534414167},
+{-1.0453226436148704,-0.5652112647897525,-0.40046624830571176,-0.32684319352324565,-0.284350424585746,-0.2586816159131615,-0.23886224134995615,-0.22378852647114655,-0.21200674742217274,-0.20247765133011342,-0.1945726886358159,-0.18789625908516427,-0.18215220120372067,-0.1771497222919578,-0.17274009855903216,-0.16882192157586928,-0.16531191098535203,-0.16213338541011524,-0.15925213778565706,-0.15643445565051195,-0.15424418391847894},
+{-1.0450097795114068,-0.5650555715871732,-0.4003860700447106,-0.3267933917808392,-0.2843161141070709,-0.2586611057829131,-0.23884219242828664,-0.223772833529722,-0.21199426267517651,-0.20246757002078652,-0.19456450191893282,-0.18788958684750412,-0.18214677025183335,-0.17714532100065128,-0.17273656336485033,-0.1688191294736896,-0.16530976291156207,-0.1621317993233049,-0.15925104429854287,-0.15643434058169703,-0.15424388062837124},
+{-1.0446969307489482,-0.5649000041799113,-0.40030599738233263,-0.3267436820038512,-0.28428188755125916,-0.2586406346662926,-0.23882221835577155,-0.22375721304097596,-0.2119818484294882,-0.20245755721899172,-0.19455638250317975,-0.18788298044469798,-0.18214140393394018,-0.177140983178532,-0.17273309060077224,-0.16881639903122903,-0.1653076756968943,-0.16213027331542662,-0.15925001020399066,-0.15643427879554395,-0.15424363564747523},
+{-1.0443840977586234,-0.5647445627435772,-0.4002260304872678,-0.3266940643603604,-0.28424774508944495,-0.25862020298677635,-0.23880231930255036,-0.22374166518024197,-0.21196950485850152,-0.20244761309500348,-0.19454833055075937,-0.1878764400480577,-0.18213610240988487,-0.1771367089819904,-0.17272968042944115,-0.16881373041086079,-0.16530564949491122,-0.16212880754767411,-0.15924903566201465,-0.15643427051244885,-0.15424344915653876},
+{-1.0440712809732595,-0.5645892474520835,-0.4001461695246391,-0.326644539020009,-0.2842136868901335,-0.2585998111585468,-0.23878249543096786,-0.22372619011541417,-0.21195723212976247,-0.2024377378073865,-0.19454034621793426,-0.18786996581661697,-0.18213086583641314,-0.17713249856814173,-0.17272633300807172,-0.1688111237684211,-0.16530368446211696,-0.16212740216940347,-0.159248120825481,-0.15643431594763513,-0.15424332133073904},
+{-1.0437584808230582,-0.5644340584815026,-0.4000664146632644,-0.32659510614982423,-0.28417971312138235,-0.25857945960432716,-0.23876274690992716,-0.22371078802083133,-0.21194503041172652,-0.20242793152458205,-0.1945324296654718,-0.18786355791884546,-0.1821256943755145,-0.17712835209104583,-0.17272304850175146,-0.16880857926577164,-0.16530178075180402,-0.16212605733490193,-0.15924726584799487,-0.15643441531902624,-0.15424325234847913},
+{-1.043445697741113,-0.5642789960080847,-0.39998676607255135,-0.32654576592374696,-0.2841458239571253,-0.25855914873866936,-0.23874307390947536,-0.2236954590689777,-0.21193289987418495,-0.20241819440911968,-0.19452458105601522,-0.18785721651885012,-0.18212058818370735,-0.17712426970986428,-0.1727198270649808,-0.16880609706181815,-0.16529993852118707,-0.16212477320240737,-0.1592464708860888,-0.1564345688450146,-0.1542432423928375},
+{-1.0431329321573202,-0.5641240602059767,-0.3999072239181558,-0.32649651850933026,-0.28411201956711807,-0.258538878978527,-0.23872347659585103,-0.2236802034338865,-0.2119208406872275,-0.2024085266280622,-0.19451680054811504,-0.18785094178235795,-0.1821155474231233,-0.1771202515797654,-0.1727166688658741,-0.1688036773174133,-0.16529815792580393,-0.16212354992308065,-0.15924573609569848,-0.1564347767401273,-0.15424329163974448},
+{-1.0428201845036895,-0.563969251254413,-0.3998277883726118,-0.3264473640786534,-0.2840783001249463,-0.2585186507419195,-0.23870395514036602,-0.22366502129180077,-0.2119088530214981,-0.20239892834825923,-0.19450908830646085,-0.18784473387654543,-0.18211057225651928,-0.1771162978587455,-0.17271357406650623,-0.16880132019259975,-0.16529643912480196,-0.16212238766068765,-0.15924506163131014,-0.15643503921707236,-0.15424340026908112},
+{-1.0425074552108349,-0.5638145693292742,-0.3997484596046803,-0.32639830280328397,-0.2840446658015523,-0.2584984644422761,-0.23868450971124844,-0.2236499128161782,-0.2118969370468733,-0.20238939973936,-0.1945014444903137,-0.18783859296898697,-0.18210566284123786,-0.17711240870897882,-0.17271054283052933,-0.1687990258492249,-0.1652947822749411,-0.1621212865665882,-0.15924444765514068,-0.15643535649174112,-0.1542435684632011},
+{-1.0421947447101587,-0.5636600146095958,-0.3996692377864406,-0.32634933485670814,-0.2840111167710333,-0.2584783204960175,-0.23866514048059173,-0.2236348781826507,-0.21188509293331492,-0.20237994096608247,-0.19449386926076784,-0.18783251922582167,-0.18210081934290656,-0.17710858428490894,-0.17270757531994718,-0.16879679444889462,-0.16529318753073596,-0.16212024679940384,-0.1592438943195873,-0.15643572877540635,-0.15424379639621577},
+{-1.0418820534322464,-0.5635055872728572,-0.39959012308692365,-0.32630046040970484,-0.2839776532050706,-0.25845821931612534,-0.23864584762048224,-0.2236199175694935,-0.21187332085293065,-0.2023705521981185,-0.1944863627849145,-0.18782651281702556,-0.18209604192378492,-0.1771048247478575,-0.17270467170222048,-0.1687946261556732,-0.16529165505454557,-0.16211926851919145,-0.1592434017850195,-0.15643615628124508,-0.15424408425194258},
+{-1.0415693818078964,-0.5633512874989677,-0.3995111156803901,-0.32625167963835366,-0.28394427528114363,-0.25843816131528285,-0.23862663130353923,-0.22360503115535835,-0.2118616209779276,-0.20236123360696467,-0.1944789252230521,-0.1878205739084251,-0.1820913307457488,-0.17710113025871976,-0.17270183214002088,-0.1687925211280259,-0.16529018500467885,-0.1621183518844589,-0.15924297021102518,-0.1564366392236991,-0.15424443220744877},
+{-1.041256730267591,-0.5631971154663447,-0.39943221573781074,-0.32620299271458464,-0.28391098317379715,-0.2584181469080704,-0.238607491703398,-0.22359021911779564,-0.21184999347833866,-0.20235198536133225,-0.19447155674367878,-0.18781470267299483,-0.18208668597876,-0.17709750097863264,-0.17269905680292652,-0.1687904795337687,-0.1652887775415195,-0.1621174970555046,-0.15924259975476218,-0.15643717781401278,-0.15424484043965947},
+{-1.0409440992422176,-0.5630430713548407,-0.39935342343280666,-0.32615439981356786,-0.28387777705557227,-0.25839817650299324,-0.23858842899093702,-0.2235754816339437,-0.21183843852540463,-0.20234280763185097,-0.19446425750697927,-0.1878088992749838,-0.18208210778261957,-0.17709393706510923,-0.1726963458551154,-0.1687885015331574,-0.16528743282546543,-0.16211670419083646,-0.15924229057820583,-0.15643777225987776,-0.15424530912680723},
+{-1.0406314891619672,-0.5628891553461557,-0.39927473894025667,-0.3261059011121148,-0.2838446571060089,-0.258378250517211,-0.23856944334461616,-0.22356081888547408,-0.21182695629383375,-0.2023337005924617,-0.1944570276791211,-0.18780316388732388,-0.1820775963237793,-0.17709043868522656,-0.1726936994657109,-0.16878658728991525,-0.16528615101323396,-0.1621159734524582,-0.1592420428402761,-0.15643842277471265,-0.15424583844132655},
+{-1.0403189004572937,-0.5627353676209523,-0.39919616243297895,-0.32605749678501184,-0.28381162349989353,-0.25835836935529954,-0.23855053493781497,-0.2235462310517562,-0.21181554695402838,-0.20232466441167674,-0.19444986742769288,-0.18779749668240697,-0.1820731517709504,-0.17708700599777671,-0.17269111780009894,-0.1687847369702382,-0.16528493226958574,-0.1621153050009383,-0.1592418567031757,-0.15643912956892336,-0.15424642856572746},
+{-1.0400063335580896,-0.5625817083598932,-0.39911769408683284,-0.3260091870107331,-0.2837786764175263,-0.258338533430269,-0.2385317039486594,-0.22353171831682062,-0.21180421068049782,-0.2023156992670323,-0.19444277691931688,-0.18779189782894434,-0.1820687742911815,-0.17708363916966618,-0.1726886010317088,-0.16878295074009486,-0.16528377675855666,-0.16211469900052577,-0.15924173232821204,-0.15643989285422322,-0.15424707966896278},
+{-1.039693788894887,-0.5624281777456304,-0.3990393340776279,-0.3259609719624734,-0.2837458160349584,-0.2583187431510581,-0.2385129505520709,-0.22351728086110256,-0.2117929476450513,-0.202306805328746,-0.1944357563194501,-0.18778636749830468,-0.18206446405469023,-0.1770803383603976,-0.17268614932324056,-0.16878122876212842,-0.16528268463974882,-0.16211415561325282,-0.15924166987761623,-0.15644071284012284,-0.15424779192633764},
+{-1.0393812668976707,-0.5622747759616686,-0.3989610825806196,-0.32591285182038376,-0.2837130425287455,-0.25829899892357133,-0.23849427492537245,-0.2235029188665436,-0.2117817580208481,-0.20229798277368616,-0.19442880579667587,-0.187780905861473,-0.18206022122666354,-0.17707710373663588,-0.17268376285061038,-0.1687795712012985,-0.16528165607593337,-0.1621136750005263,-0.15924166951410257,-0.15644158973469757,-0.15424856550862387},
+{-1.0390687679962554,-0.5621215031894025,-0.3988829397726761,-0.32586482676268247,-0.2836803560820016,-0.2582793011600302,-0.23847567724698138,-0.22348863251579587,-0.21177064198273854,-0.2022892317769731,-0.19442192551885285,-0.1877755130947918,-0.18205604598036018,-0.1770739354629569,-0.17268144178073896,-0.1687779782265011,-0.16528069122981037,-0.16211325732759008,-0.15924173140054165,-0.1564425237451701,-0.15424940058809966},
+{-1.0387562926205618,-0.5619683596133314,-0.3988049058325629,-0.32581689696755234,-0.2836477568723481,-0.25825965026503894,-0.23845715769675735,-0.22347442199517786,-0.21175959970265978,-0.20228055251358512,-0.19441511565506175,-0.18777018936724232,-0.18205193848319823,-0.17707083370478927,-0.1726791862844408,-0.16877645000170105,-0.16527979026587047,-0.16211290275582257,-0.15924185570121097,-0.1564435150845611,-0.15425029733583528},
+{-1.038443841200504,-0.5618153454178625,-0.39872698093814307,-0.3257690626164802,-0.2836152450813785,-0.2582400466454118,-0.23843871645547665,-0.223460287488507,-0.21174863135881594,-0.20227194516265,-0.19440837637607444,-0.1877649348546555,-0.18204789890941697,-0.1770677986307021,-0.17267699653552882,-0.1687749866972723,-0.16527895335099174,-0.1621126114552709,-0.15924204257957797,-0.15644456395892803,-0.15425125591977462},
+{-1.0381314141655267,-0.5616624607878009,-0.3986491652672086,-0.32572132388675357,-0.28358282089102715,-0.25822049070708886,-0.23842035370240922,-0.22344622918281232,-0.21173773712214938,-0.20226340990018343,-0.19440170785345856,-0.18775974973219434,-0.18204392743005826,-0.17706483040613819,-0.17267487270567017,-0.16877358847968083,-0.16527818064940902,-0.16211238358830826,-0.15924229220307495,-0.15644567057501035,-0.15425227650808893},
+{-1.0378190119459134,-0.5615097059084633,-0.39857145900055,-0.3256736809619838,-0.2835504844818999,-0.25820098285551296,-0.2384020696178908,-0.22343224726509447,-0.21172691717116265,-0.2022549469062085,-0.19439511025763068,-0.18775463417388494,-0.1820400242175566,-0.17706192919783348,-0.17267281496926046,-0.1687722555146678,-0.16527747232615297,-0.16211221932130115,-0.1592426047375568,-0.15644683514209135,-0.15425335926850892},
+{-1.037506634969759,-0.561357080964541,-0.3984938623161227,-0.32562613402100027,-0.2835182360355759,-0.25818152349670953,-0.23838386438336556,-0.2234183419189577,-0.21171617167634338,-0.2022465563588156,-0.19438858375680468,-0.18774958835169286,-0.1820361894453697,-0.17705909517658824,-0.1726708234975689,-0.16877098797091605,-0.16527682854437842,-0.16211211882105658,-0.1592429803451978,-0.15644805786237725,-0.1542545043610346},
+{-1.0371942836683559,-0.561204586143667,-0.39841637539674934,-0.3255786832471088,-0.2834860757371658,-0.25816211303428105,-0.23836573818465467,-0.22340451333614908,-0.2117055008199884,-0.20223823843936373,-0.19438212853029313,-0.18774461244754548,-0.18203242328668523,-0.17705632851186692,-0.1726688984645648,-0.16876978601986536,-0.16527624947660513,-0.16211208225399787,-0.15924341919973983,-0.1564493389478372,-0.15425571195916632},
+{-1.0368819584702607,-0.5610522216322309,-0.398338998421508,-0.32553132882375024,-0.2834540037690374,-0.2581427518692436,-0.23834769120047383,-0.2233907617008981,-0.2116949047729264,-0.20222999332720804,-0.19437574474605412,-0.18773970663202988,-0.18202872591612618,-0.17705362936904123,-0.17266704004340738,-0.16876864982896223,-0.16527573528576056,-0.16211210978697466,-0.15924392146069977,-0.1564506785992421,-0.1542569822188824},
+{-1.0365696598047052,-0.5608999876179439,-0.3982617315745074,-0.3254840709319424,-0.2834220203177651,-0.25812344040770796,-0.23832972362015425,-0.2233770872080072,-0.2116843837151663,-0.20222182120608068,-0.1943694325824339,-0.187734871086235,-0.18202509751027662,-0.17705099792367207,-0.17266524841436137,-0.16876757956805477,-0.1652752861398028,-0.16211220159412676,-0.15924448730174845,-0.1564520770277369,-0.1542583153071604},
+{-1.0362573881008217,-0.5607478842882472,-0.39818457503683646,-0.3254369097569878,-0.28339012556571674,-0.2581041790499441,-0.2383118356227385,-0.22336349004304168,-0.21167393782292265,-0.20221372225707057,-0.19436319221145482,-0.18773010598330586,-0.18202153824164213,-0.17704843434626127,-0.17266352374979022,-0.16876657540542794,-0.16527490221089636,-0.1621123578393764,-0.1592451168899629,-0.15645353443484566,-0.15425971138155603},
+{-1.0359451437883962,-0.5605959118312427,-0.39810752899089863,-0.32538984548266114,-0.28335831969890535,-0.2580849682000945,-0.23829402739568195,-0.223349970396427,-0.21166356727471225,-0.20220569666463462,-0.19435702380859254,-0.1877254115060083,-0.18201804828885315,-0.17704593880623065,-0.17266186622683222,-0.16876563751576157,-0.16527458366155656,-0.16211257868917528,-0.15924581039409702,-0.1564550510272511,-0.15426117060341937},
+{-1.035632927296838,-0.560444070437569,-0.3980305936231474,-0.3253428782953236,-0.283326602904566,-0.2580658082572711,-0.23827629912759107,-0.22333652846255347,-0.21165327224805708,-0.20219774461298812,-0.1943509275527191,-0.18772078783021584,-0.18201462782600686,-0.17704351147951058,-0.1726602760187319,-0.16876476606582003,-0.16527433066670483,-0.16211286431908434,-0.15924656798358683,-0.15645662701425067,-0.1542626931361326},
+{-1.0353207390541783,-0.5602923602952785,-0.3979537691147996,-0.3252960083782881,-0.2832949753692162,-0.25804669962028015,-0.2382586510002369,-0.22332316443058176,-0.21164305292079177,-0.20218986628684377,-0.19434490361807377,-0.18771623513536895,-0.1820112770305542,-0.17704115253860664,-0.1726587533077435,-0.16876396122933102,-0.16527414339350344,-0.16211321489640795,-0.1592473898321174,-0.15645826259982698,-0.15426427913406826},
+{-1.0350085794901531,-0.5601407815949813,-0.39787705565288434,-0.3252492359196424,-0.2832634372818177,-0.2580276426921557,-0.23824108320393123,-0.2233098784935379,-0.2116329094740479,-0.2021820618714827,-0.19433895218600128,-0.18771175360048176,-0.18200799608263196,-0.17703886215704756,-0.1726572982676231,-0.16876322317676795,-0.16527402201509744,-0.16211363059449013,-0.15924827610687942,-0.15645995798998058,-0.1542659287578232},
+{-1.0346964490339374,-0.5599893345277849,-0.39780045342224213,-0.3252025611060816,-0.2832319888283834,-0.2580086378708444,-0.23822359592642783,-0.22329667084633797,-0.21162284208614324,-0.20217433155445974,-0.19433307343356887,-0.18770734340824902,-0.18200478515657892,-0.17703664051380485,-0.17265591108110812,-0.16876255207941426,-0.16527396670232974,-0.1621141115840743,-0.15924922698137323,-0.1564617133939521,-0.15426764216493893},
+{-1.0343843481143722,-0.559838019283724,-0.3977239626108968,-0.32515598412488345,-0.28320063019899777,-0.25798968555749013,-0.2382061893552958,-0.22328354167898112,-0.2116128509385362,-0.20216667552355716,-0.19432726753817064,-0.18770300473784118,-0.18200164443109657,-0.1770344877779877,-0.17265459192168464,-0.16876194811467826,-0.16527397762308738,-0.16211465803402803,-0.15925024262662646,-0.156463529014232,-0.1542694195079264},
+{-1.0340722771600284,-0.5596868360558815,-0.3976475834038098,-0.32510950516351755,-0.28316936158278594,-0.25797078614643,-0.2381888636797953,-0.22327049118872822,-0.2116029362133105,-0.20215909396728193,-0.1943215346819045,-0.18769873777158352,-0.181998574087487,-0.1770324041329303,-0.1726533409713369,-0.1687614114530902,-0.1652740549540681,-0.16211527012241334,-0.15925132321585522,-0.15646540506065776,-0.1542712609512762},
+{-1.0337602366003154,-0.5595357850356066,-0.39757131598888407,-0.32506312441267227,-0.2831381831714168,-0.2579519400388648,-0.23817161909197182,-0.22325751956833528,-0.21159309809063132,-0.20215158707337366,-0.19431587504548986,-0.18769454269214236,-0.18199557430089897,-0.17703038975356833,-0.1726521584088374,-0.1687609422670846,-0.16527419886814698,-0.16211594801943363,-0.15925246892466305,-0.15646734174451638,-0.15427316664529656},
+{-1.033448226863591,-0.5593848664162593,-0.3974951605552235,-0.32501684206015113,-0.2831070951560477,-0.25793314762992736,-0.23815445578011918,-0.22324462701695325,-0.21158333675465713,-0.20214415503492944,-0.1943102888139947,-0.1876904196832072,-0.18199264525507886,-0.17702844481782165,-0.17265104441705148,-0.1687605407332171,-0.16527440954007488,-0.16211669190271039,-0.15925367992366546,-0.15646933927020257,-0.15427513674652005},
+{-1.0331362483791153,-0.5592340803910858,-0.3974191172908519,-0.32497065829578986,-0.28307609772367925,-0.25791440931547527,-0.23813737393415124,-0.2232318137262581,-0.2115736523866758,-0.2021367980414368,-0.19430477616525366,-0.18768636892343693,-0.1819897871252465,-0.1770265695040507,-0.17264999917406954,-0.16876020702677863,-0.16527468714494375,-0.1621175019417791,-0.15925495639108078,-0.15647139784513797,-0.1542771714118345},
+{-1.0328243015755163,-0.5590834271542704,-0.3973431863865642,-0.3249245733120816,-0.28304519107287973,-0.25789572549680884,-0.23812037374975148,-0.22321907989496026,-0.21156404517334693,-0.20212951628523967,-0.19429933728244464,-0.18768239060247538,-0.18198700009344293,-0.1770247639953908,-0.1726490228607247,-0.1687599413212979,-0.16527503185287173,-0.16211837831713183,-0.15925629849635925,-0.15647351767914586,-0.15427927079522874},
+{-1.0325123868814288,-0.5589329069005728,-0.3972673680303487,-0.324878587298592,-0.2830143753911045,-0.25787709656418656,-0.23810345541699007,-0.22320642571811788,-0.21155451529944003,-0.20212230995853986,-0.19429397235460044,-0.18767848490385575,-0.18198428433974811,-0.17702302846977602,-0.17264811565743798,-0.16875974379460956,-0.16527544384405246,-0.16211932120097572,-0.15925770641953818,-0.15647569898082736,-0.15428143505428693},
+{-1.0322005047254166,-0.5587825198243266,-0.39719166241567905,-0.32483270044983925,-0.2829836508761687,-0.2578585229150434,-0.23808661912963203,-0.22319385139701353,-0.21154506294958253,-0.2021151792568503,-0.19428868156279577,-0.187674652012916,-0.18198164004675732,-0.17702136311230277,-0.17264727775047106,-0.16875961462272926,-0.16527592329707375,-0.16212033077185595,-0.1592591803351695,-0.15647794196135578,-0.15428366434298368},
+{-1.0318886555370383,-0.5586322661215917,-0.3971160697329381,-0.32478691295545303,-0.28295301772145365,-0.2578400049438727,-0.23806986508245132,-0.22318135712637854,-0.21153568831070402,-0.202108124371847,-0.19428346509299388,-0.1876708921144541,-0.18197906739582947,-0.17701976810172937,-0.1726465093195202,-0.1687595539835911,-0.1652764703858196,-0.16212140720631396,-0.15926072042185524,-0.15648024682974437,-0.15428595881485307},
+{-1.0315768397438134,-0.5584821459886342,-0.39704059017285687,-0.32474122500988045,-0.2829224761187774,-0.2578215430426809,-0.23805319346774922,-0.22316894310566227,-0.2115263915707004,-0.2021011455016719,-0.19427832313218119,-0.18766720539431958,-0.18197656656457184,-0.1770182436233938,-0.17264581054955386,-0.16875956205151965,-0.16527708529227425,-0.1621225506833639,-0.15926232685659159,-0.15648261379431005,-0.1542883186256887},
+{-1.0312650577748528,-0.5583321596219974,-0.39696522392990374,-0.3246956368076255,-0.28289202626770305,-0.2578031376097414,-0.23803660448002972,-0.22315660953299243,-0.2115171729167571,-0.20209424284146849,-0.1942732558665199,-0.18766359204047944,-0.1819741377376829,-0.17701678985847025,-0.172645181620112,-0.1687596390097923,-0.16527776818733741,-0.1621237613794051,-0.15926399981259465,-0.15648504306520294,-0.15429074392930886},
+{-1.0309533100590116,-0.5581823072195462,-0.3968899711963587,-0.32465014854327023,-0.2828616683627132,-0.25778478903467317,-0.23802009831936743,-0.2231443566112148,-0.21150803254052164,-0.20208741658973395,-0.19426826348603754,-0.1876600522460592,-0.18197178109763001,-0.17701540699700047,-0.17264462271893422,-0.16875978503684053,-0.16527851925870607,-0.16212503947585333,-0.15926573947436395,-0.15648753485815803,-0.15429323488358193},
+{-1.0306415970249105,-0.558032588978584,-0.3968148321679408,-0.3246047604121287,-0.28283140260079165,-0.2577664977105343,-0.23800367517756627,-0.22313218453609807,-0.21149897062997525,-0.20208066694407023,-0.1942633461759442,-0.187656586191153,-0.18196949682518948,-0.17701409521922074,-0.17264413402881473,-0.16876000030821103,-0.16527933868364642,-0.16212638514964794,-0.15926754601599669,-0.15649008938045483,-0.15429579164005247},
+{-1.0303299191008435,-0.557883005098077,-0.3967398070378607,-0.324559472608577,-0.28280122918140194,-0.2577482640291606,-0.23798733525454452,-0.22312009351064432,-0.21148998737700708,-0.20207399410125504,-0.1942585041280438,-0.18765319406935532,-0.18196728510476134,-0.17701285471353856,-0.1726437157342957,-0.16876028500907125,-0.1652802266405189,-0.1621277985831,-0.15926941961912178,-0.15649270684613725,-0.15429841435137348},
+{-1.0300182767160848,-0.5577335557767142,-0.396664896002477,-0.3245142853316736,-0.2827711483001991,-0.2577300883837239,-0.23797107874565882,-0.22310808373563873,-0.2114810829737337,-0.20206739826525677,-0.194253737532037,-0.18764987606886052,-0.1819651461197651,-0.17701168566657088,-0.17264336802244884,-0.16876063931698582,-0.16528118331308406,-0.16212927995704263,-0.15927136046487078,-0.15649538746943392,-0.15430110317825552},
+{-1.0297066702982036,-0.5575842412137106,-0.39659009925606625,-0.3244691987763204,-0.28274116015718675,-0.25771197116471,-0.23795490584861057,-0.22309615540947902,-0.21147225761191635,-0.2020608796315173,-0.19424904657610398,-0.1876466323780761,-0.18196308005236972,-0.17701058826648364,-0.17264309107756048,-0.16876106341315733,-0.16528220888025658,-0.1621308294512005,-0.1592733687296004,-0.15649813146102076,-0.15430385827065152},
+{-1.029395100276595,-0.5574350616116206,-0.396515416998632,-0.3244242131432884,-0.2827112649536616,-0.2576939127646085,-0.2379388167655918,-0.22308430873960106,-0.21146351148843223,-0.20205443840762882,-0.19424443145710768,-0.18764346319163394,-0.18196108708754366,-0.1770095627038728,-0.17264288508648917,-0.1687615574828385,-0.1652833035269481,-0.16213244725094,-0.1592754445974549,-0.15650093904027074,-0.15430667978705515},
+{-1.0290835670798302,-0.5572860171688134,-0.39644084942332114,-0.32437932862828234,-0.2826814628878367,-0.2576759135703526,-0.23792281169284024,-0.2230725439219725,-0.2114548447933089,-0.20204807479221643,-0.19423989236031503,-0.18764036869607992,-0.18195916741031226,-0.17700860916399108,-0.17264275023444497,-0.1687621217047024,-0.16528446743690495,-0.16213413353683848,-0.15927758824751947,-0.15650381041795924,-0.15430956788345895},
+{-1.0287720711364372,-0.5571371080872112,-0.39636639673151564,-0.324334545432464,-0.28265175416402144,-0.2576579739746876,-0.2379068908332158,-0.22306086116401502,-0.2114462577265641,-0.2020417889898738,-0.1942354294848485,-0.18763734908699803,-0.18195732120619823,-0.17700772783977925,-0.1726426867129618,-0.16876275626538018,-0.16528570079063343,-0.16213588849554128,-0.1592797998629294,-0.1565067458152356,-0.15431252271702078},
+{-1.028460612874575,-0.5569883345688211,-0.3962920591198227,-0.3242898637546716,-0.28262213898089783,-0.25764009436487356,-0.23789105438495994,-0.22304926066638586,-0.21143775048254554,-0.20203558120307719,-0.19423104302249783,-0.18763440455258262,-0.18195554865850738,-0.177006918922487,-0.17264269470695126,-0.16876346134634446,-0.16528700377786265,-0.1621377123084642,-0.15928207962706153,-0.15650974544436735,-0.1543155444450406},
+{-1.028149192722971,-0.5568396968162119,-0.39621783678875033,-0.3242452837960812,-0.28259261754202214,-0.2576222751339259,-0.23787530254865885,-0.2230377426322434,-0.21142932325875563,-0.2020294516394614,-0.1942267331657348,-0.18763153528719556,-0.1819538499527198,-0.17700618260082024,-0.17264277440544618,-0.16876423713281952,-0.16528837657601514,-0.16213960515972303,-0.15928442772118956,-0.15651280952234004,-0.15431863322501727},
+{-1.0278378111111834,-0.5566911950339559,-0.3961437299378616,-0.3242008057582666,-0.28256319005068065,-0.2576045166661345,-0.23785963552853673,-0.22302630726697714,-0.21142097625497058,-0.20202340050370537,-0.1942225001132556,-0.18762874148345077,-0.18195222527630506,-0.17700551907164197,-0.17264292599449504,-0.168765083810257,-0.16528981937577214,-0.16214156723761164,-0.15928684432671503,-0.15651593827038823,-0.15432178922023354},
+{-1.02752646846713,-0.556542829423833,-0.39606973876626483,-0.32415642984273063,-0.28253385671109754,-0.2575868193516868,-0.23784405352631666,-0.22301495477454125,-0.21141270966812442,-0.20201742800175282,-0.1942183440581431,-0.1876260233342748,-0.18195067481575222,-0.17700492852549132,-0.17264314966836025,-0.16876600156341226,-0.1652913323620595,-0.16214359872572004,-0.159289329631207,-0.15651913190650646,-0.1543250125890836},
+{-1.0272151652193955,-0.556394600191112,-0.39599586347749494,-0.32411215625298695,-0.2825046177291455,-0.2575691835776439,-0.23782855674444647,-0.22300368535853465,-0.211404523699656,-0.20201153434074115,-0.19421426519950558,-0.18762338103303478,-0.18194919876005144,-0.17700441115616172,-0.17264344561247924,-0.1687669905770406,-0.16529291572078364,-0.16214569981295313,-0.1592918838145465,-0.15652239064857554,-0.15432830349274695},
+{-1.0269039017969348,-0.5562465075412817,-0.3959221042719605,-0.3240679851913768,-0.28247547330850864,-0.2575516097335111,-0.23781314538642562,-0.22299249922505737,-0.21139641854847468,-0.2020057197303231,-0.1942102637354992,-0.1876208147754852,-0.1819477972942991,-0.17700396716155353,-0.17264381402304707,-0.16876805103962056,-0.16529456964099154,-0.16214787068675207,-0.15929450706856585,-0.15652571471703425,-0.15433166209759008},
+{-1.0265926786281696,-0.556098551678609,-0.3958484613530757,-0.3240239168621173,-0.2824464236558555,-0.2575340982044736,-0.2377978196553414,-0.22298139657665672,-0.21138839441817936,-0.20199998437786348,-0.19420633985933478,-0.18761832475315998,-0.18194647060613534,-0.17700359673199273,-0.17264425508311376,-0.16876918313732858,-0.16529629430722537,-0.16215011153101955,-0.15929719957250654,-0.15652910432952183,-0.15433508856450828},
+{-1.0262814961423388,-0.5559507328099542,-0.39577493492279103,-0.3239799514697097,-0.28241746897676023,-0.2575166493768819,-0.23778257975845918,-0.22297037762243122,-0.21138045150807727,-0.20199432849373977,-0.1942024937763307,-0.18761591116441423,-0.18194521888840143,-0.17700330006771026,-0.1726447689871975,-0.1687703870605759,-0.16529808990867423,-0.16215242254078532,-0.15929996151191972,-0.15653255970865132,-0.15433858306502657},
+{-1.0259703547680772,-0.5558030511426111,-0.395701525186297,-0.3239360892215686,-0.28238860948127353,-0.2574992636378397,-0.23776742589903677,-0.22295944256792666,-0.21137259002547637,-0.20198875228814472,-0.19419872568317942,-0.18761357420149238,-0.18194404232683326,-0.17700307736565435,-0.17264535592848063,-0.16877166299438784,-0.16529995663900365,-0.16215480389989523,-0.15930279307774242,-0.1565360810748615,-0.15434214576268346},
+{-1.0256592549334371,-0.5556555068835962,-0.3956282323481304,-0.32389233032183995,-0.28235984537735703,-0.2574819413727596,-0.23775235828465213,-0.22294859161986835,-0.2113648101711476,-0.2019832559724506,-0.19419503578377828,-0.18761131406363063,-0.18194294111350473,-0.17700292882146584,-0.17264601609770125,-0.1687730111296446,-0.16530189468397793,-0.16215725580343587,-0.15930569445258413,-0.15653966864790902,-0.1543457768269576},
+{-1.0253481970683112,-0.5555081002406439,-0.3955550566115704,-0.32384867497716385,-0.28233117687084075,-0.25746468296652836,-0.23773737711951526,-0.2229378249847258,-0.21135711214692776,-0.20197783975810069,-0.19419142427628344,-0.18760913093962017,-0.1819419154392392,-0.17700285463349985,-0.1726467496882833,-0.16877443165621742,-0.16530390423616836,-0.16215977843636153,-0.15930866582809244,-0.15654332264688264,-0.15434947642982877},
+{-1.025037181601185,-0.5553608314227958,-0.39548199818484875,-0.3238051233970509,-0.28230260417544173,-0.25744748880805446,-0.2377224826117441,-0.2229271428682864,-0.21134949616143217,-0.20197250385713517,-0.19418789136253167,-0.18760702503372784,-0.18194096549210315,-0.17700285500227153,-0.17264755689063804,-0.16877592476363645,-0.16530598548307296,-0.16216237199324723,-0.15931170738700473,-0.15654704329442382,-0.1543532447436604},
+{-1.0247262089608427,-0.5552137006394702,-0.3954090572721398,-0.32376167578873094,-0.28227412749694736,-0.2574303592769809,-0.2377076749692435,-0.222916545480345,-0.2113419624194819,-0.20196724848452163,-0.19418443724974566,-0.18760499653870966,-0.18194009146775159,-0.17700293012869395,-0.1726484379014721,-0.16877749064435932,-0.16530813861845672,-0.16216503666503002,-0.1593148193206133,-0.15655083081018972,-0.15435708194009123},
+{-1.0244152795761678,-0.5550667081005898,-0.39533623408291163,-0.32371833236170744,-0.28224574705124894,-0.25741329476149133,-0.23769295439996085,-0.22290603302901957,-0.21133451112584112,-0.20196207385231446,-0.19418106213827002,-0.18760304565348918,-0.18193929355770422,-0.17700308021392175,-0.17264939291399628,-0.1687791294912273,-0.16531036383956632,-0.16216777264490645,-0.1593180018181357,-0.1565546854140223,-0.15436098819735378},
+{-1.0241043938765486,-0.554919854015786,-0.3952635288239179,-0.32367509332416944,-0.282217463049804,-0.2573962956424225,-0.23767832111408893,-0.2228956057234086,-0.21132714248811624,-0.20195698017428754,-0.19417776623450322,-0.1876011725753699,-0.18193857195666396,-0.1770033054556137,-0.17265042212034132,-0.16878084149375638,-0.16531266133219447,-0.16217058012470886,-0.15932125506914474,-0.15655860732707083,-0.15436496368344876},
+{-1.023793552290769,-0.5547731385977741,-0.3951909417026158,-0.3236319588884129,-0.2821892757002189,-0.2573793623045191,-0.23766377531850935,-0.22288526377012374,-0.21131985671304676,-0.2019519676666306,-0.19417454974492898,-0.18759937750046163,-0.18193792685531207,-0.17700360606019672,-0.17265152572004183,-0.16878262684709,-0.16531503129648684,-0.16217345929827331,-0.15932457926641064,-0.15656259676669038,-0.15436900858171043},
+{-1.0234827552476418,-0.5546265620569457,-0.395118472929596,-0.3235889292641616,-0.2821611852211703,-0.2573624951347995,-0.23764931722429594,-0.22287500737968458,-0.2113126540064343,-0.20194703654485124,-0.194171412872592,-0.18759766062876793,-0.18193735845080994,-0.17700398222524427,-0.17265270390480225,-0.1687844857466274,-0.16531747392227203,-0.1621764103598622,-0.1593279745950582,-0.15656665395316338,-0.1543731230656391},
+{-1.0231720031769527,-0.5544801246068403,-0.39504612271376516,-0.3235460046660137,-0.28213319182371777,-0.2573456945126509,-0.23763494704448362,-0.22286483676566604,-0.21130553457979317,-0.2019421870264324,-0.19416835582916292,-0.18759602216326243,-0.18193686693886946,-0.1770044341614323,-0.17265395687205398,-0.16878641838660258,-0.1653199894072941,-0.1621794335062816,-0.1593314412502167,-0.1565707791040012,-0.15437730731626687},
+{-1.0228612965079762,-0.5543338264594198,-0.3949738912666021,-0.32350318530426136,-0.28210529572453424,-0.25732896082119794,-0.237620664986693,-0.22285475213219286,-0.21129849863778816,-0.20193741932592957,-0.19416537881647855,-0.1875944622976249,-0.18193645251312773,-0.17700496206595062,-0.17265528481766523,-0.16878842495952995,-0.16532257794862915,-0.1621825289302734,-0.15933497942437214,-0.15657497243856255,-0.15438156151040516},
+{-1.0225506356691128,-0.5541876678298578,-0.39490177879682165,-0.3234604713913143,-0.2820774971380189,-0.25731229444103576,-0.23760647126491108,-0.22284475369330892,-0.2112915463919336,-0.20193273365968878,-0.19416248204736064,-0.1875929812356958,-0.18193611537272147,-0.17700556614752827,-0.17265668793722,-0.16879050566535625,-0.16532523973849322,-0.16218569682632733,-0.15933858930779365,-0.15657923417174402,-0.15438588582252066},
+{-1.0222400210908518,-0.5540416489321984,-0.3948297855188869,-0.32341786314488274,-0.28204979628016247,-0.25729569575823064,-0.2375923660924144,-0.22283484166071332,-0.21128467805149853,-0.20192813024715406,-0.19415966573227195,-0.18759157917770608,-0.1819358557147126,-0.17700624660919573,-0.1726581664317024,-0.16879266069919652,-0.16532797497829677,-0.16218893739205953,-0.15934227109737265,-0.1565835645265281,-0.15439028043991243},
+{-1.0219294532011531,-0.5538957699799028,-0.3947579116437083,-0.3233753607756569,-0.2820221933685616,-0.25727916515467086,-0.2375783496796231,-0.22282501624525253,-0.2112778938227251,-0.20192360930818154,-0.19415693007610457,-0.187590256325322,-0.18193567373776887,-0.17700700365705302,-0.17265972049756328,-0.16879489025927796,-0.16533078386294164,-0.16219225082507194,-0.15934602498356298,-0.15658796371403128,-0.15439474553710397},
+{-1.0216189324311742,-0.5537500311911785,-0.3946861573845979,-0.3233329645033791,-0.2819946886196618,-0.25726270300661724,-0.2375644222440627,-0.2228152776584551,-0.21127119391985616,-0.20191917105839252,-0.19415427529496299,-0.18758901288302354,-0.18193556963998958,-0.1770078375018329,-0.17266135033243302,-0.16879719454482256,-0.16533366659361093,-0.16219563732144593,-0.1593498511630571,-0.15659243195648287,-0.1543992812955537},
+{-1.0213084592098056,-0.5536044327806096,-0.39461452295603294,-0.3232906745415107,-0.2819672822538166,-0.2572463096999513,-0.2375505839984271,-0.22280562611480548,-0.21126457855115177,-0.2019148157178421,-0.194151701596752,-0.18758784905014636,-0.18193554362271414,-0.1770087483445053,-0.1726630561357041,-0.16879957375371646,-0.16533662336988186,-0.1621990970809577,-0.159353749830359,-0.1565969694665057,-0.15440388789747317},
+{-1.0209980339659737,-0.5534589749661691,-0.39454300857253344,-0.32324849110891307,-0.2819399744917632,-0.25722998561424504,-0.23753683516109447,-0.22279606182748068,-0.21125804792939107,-0.2019105435090438,-0.19414920919560075,-0.18758676503823324,-0.18193559588753772,-0.1770097363975509,-0.1726648381105207,-0.1688020280886633,-0.16533965439164433,-0.16220263030329818,-0.15935772118200475,-0.15660157646817652,-0.1544085655235392},
+{-1.0206876571302175,-0.5533136579655817,-0.39447161444772405,-0.3232064144229696,-0.28191276554888134,-0.2572137311290703,-0.2375231759442471,-0.22278658500940196,-0.21125160226635842,-0.20190635464828688,-0.19414679830740056,-0.1875857610430529,-0.1819357266342223,-0.17701080186758134,-0.17266669645437105,-0.16880455774672498,-0.16534275985959823,-0.16220623718261606,-0.15936176541613634,-0.15660625317180177,-0.15441331435297911},
+{-1.0203773291318186,-0.5531684819953568,-0.3944003407978016,-0.32316444470106376,-0.2818856556481393,-0.2571975466288876,-0.23750960656573739,-0.2227771958729079,-0.21124524176974546,-0.20190224935792855,-0.19414446914016992,-0.18758483727928876,-0.18193593606495995,-0.17701194496051187,-0.17266863136752875,-0.16880716293213993,-0.16534593997322133,-0.16220991792016548,-0.15936588272602137,-0.15661099979813287,-0.15441813457221087},
+{-1.020067050401373,-0.5530234472775319,-0.3943291878413362,-0.3231225821651975,-0.28185864501188007,-0.2571814324868882,-0.23749612724490987,-0.22276789463617774,-0.21123896665658037,-0.20189822785856393,-0.19414222191052488,-0.18758399394849334,-0.18193622438298007,-0.1770131658915517,-0.17267064305433166,-0.16880984384461328,-0.16534919493741995,-0.16221367272018483,-0.1593700733132266,-0.15661581656692647,-0.15442302636358818},
+{-1.019756821367423,-0.5528785540297463,-0.39425815579210166,-0.3230808270333654,-0.2818317338605141,-0.25716538908865516,-0.23748273819957433,-0.22275868151396594,-0.21123277713668642,-0.2018942903730334,-0.1941400568361047,-0.1875832312607315,-0.18193659179520694,-0.1770144648662182,-0.1726727317161334,-0.16881260068822712,-0.16535252495400243,-0.162217501778386,-0.15937433737673246,-0.15662070369386072,-0.1544279899131027},
+{-1.0194466424616024,-0.5527338024730142,-0.3941872448707002,-0.3230391795280667,-0.2818049224196386,-0.2571494168086019,-0.23746943964846423,-0.2227495567187674,-0.21122667342572754,-0.20189043712089472,-0.19413797412988743,-0.18758254942510177,-0.18193703850623422,-0.1770158420979442,-0.17267489755515442,-0.16881543366581298,-0.16535593022895512,-0.16222140529652052,-0.15937867511333081,-0.15662566139984335,-0.154433025401417},
+{-1.019136514113164,-0.5525891928284352,-0.39411645529386163,-0.3229976398698824,-0.281778210911213,-0.2571335160314021,-0.23745623181262943,-0.2227405204724846,-0.21122065573618443,-0.20188666832633828,-0.1941359740115871,-0.18758194865222322,-0.1819375647188224,-0.1770172977967519,-0.17267714077702578,-0.16881834298203557,-0.16535941096391582,-0.1622253834796652,-0.15938308672899382,-0.15663068990320994,-0.15443813302375986},
+{-1.0188264367524482,-0.552444725317379,-0.39404578728185413,-0.3229562082826192,-0.2817515995584188,-0.25711768713456706,-0.23744311491007863,-0.2227315729866035,-0.2112147242799267,-0.20188298420923445,-0.1941340566933576,-0.18758142914805376,-0.1819381706406915,-0.1770188321728483,-0.17267946158483483,-0.16882132884053647,-0.16536296736327927,-0.162229436524143,-0.15938757241734436,-0.15663578942591982,-0.15444331296093594},
+{-1.018516410810001,-0.5523004001633325,-0.39397524105402226,-0.3229148849881369,-0.28172508858834533,-0.2571019304929649,-0.23743008916495967,-0.22272271448123604,-0.21120887927561682,-0.2018793849960474,-0.19413222239677452,-0.1875809911314974,-0.18193885648143748,-0.17702044543915463,-0.1726818601816973,-0.16882439144946204,-0.1653665996344813,-0.16223356463964933,-0.15939213238362981,-0.1566409601863512,-0.15444856541046192},
+{-1.0182064367162482,-0.5521562175880348,-0.3939048168297532,-0.32287367021174873,-0.2816986782273858,-0.25708624648984824,-0.2374171548004398,-0.22271394517356669,-0.21120312093738391,-0.20187587090669012,-0.19413047133973294,-0.18758063481081422,-0.18193962244795614,-0.17702213781045373,-0.17268433677585904,-0.16882753101181436,-0.16537030798636465,-0.16223776802527823,-0.15939676683055382,-0.1566462024079982,-0.15445389056141323},
+{-1.0178965149013877,-0.5520121778164437,-0.3938345148331024,-0.3228325641778724,-0.28167236870351076,-0.25707063549974407,-0.2374043120368583,-0.2227052652854553,-0.21119744948107666,-0.20187244216783995,-0.19412880374139263,-0.1875803604022792,-0.181940468751435,-0.17702390949696678,-0.17268689157215533,-0.168830747734944,-0.1653740926236651,-0.16224204688586497,-0.15940147596208476,-0.15665151631267804,-0.15445928860704328},
+{-1.0175866457960652,-0.5518682810721245,-0.3937643352832154,-0.32279156711229007,-0.28164616024047007,-0.25705509790262226,-0.23739156110049464,-0.2226966750323669,-0.21119186512271426,-0.20186909900139938,-0.19412721982347136,-0.18758016811476352,-0.18194139560203837,-0.17702576071273768,-0.1726895247808642,-0.16883404182856054,-0.1653779537554101,-0.16224640142472424,-0.15940625998406688,-0.15665690212141214,-0.1544647597469293},
+{-1.0172768298313528,-0.551724527581058,-0.3936942784054196,-0.32275067924067,-0.281620053069048,-0.25703963407873687,-0.2373789022149566,-0.22268817463495338,-0.211186368079467,-0.20186584163340626,-0.194125719801562,-0.18758005816962964,-0.18194240320870847,-0.1770276916715119,-0.1726922366052719,-0.16883741349765558,-0.16538189158701755,-0.1622508318496898,-0.1594111190943721,-0.15666236006187262,-0.15447030418130225},
+{-1.016967067438351,-0.5515809175689768,-0.39362434442008265,-0.3227099007933987,-0.2815940474185652,-0.25702424440035543,-0.23736633560689313,-0.22267976431361092,-0.21118095857015362,-0.20186267028869054,-0.1941243039020577,-0.18758003078018248,-0.18194349178516234,-0.17702970259198025,-0.17269502725477537,-0.16884086295264922,-0.1653859063287939,-0.1622553383640053,-0.15941605350101895,-0.15666789035739725,-0.15447592211080519},
+{-1.0166573590471657,-0.5514374512625508,-0.39355453355427983,-0.3226692319965849,-0.28156814352043114,-0.25700892925038943,-0.23735386150282523,-0.22267144429140728,-0.21117563681384866,-0.20185958519010683,-0.19412297234481457,-0.18758008616619293,-0.1819446615477034,-0.17703179368656663,-0.17269789693885684,-0.16884439040268262,-0.16538999819803735,-0.16225992117503552,-0.15942106341316276,-0.1566734932359708,-0.15448161374453662},
+{-1.0163477050896503,-0.5512941288879176,-0.3934848460302689,-0.32262867307578347,-0.28154234160402325,-0.2569936890001969,-0.2373414801297571,-0.22266321478745965,-0.21117040302938506,-0.20185658656401984,-0.1941217253492482,-0.18758022453947376,-0.18194591270703597,-0.1770339651714039,-0.17270084586608903,-0.1688479960594691,-0.16539416739594515,-0.16226458048700465,-0.15942614903282504,-0.1566791689228353,-0.15448737928061007},
+{-1.0160381059966497,-0.5511509506743977,-0.3934152820739314,-0.3225882242660276,-0.2815166418973831,-0.25697852402974775,-0.237329191718203,-0.2226550760241537,-0.21116525743572367,-0.20185367463601267,-0.19412056314291704,-0.1875804461235191,-0.1819472454796056,-0.1770362172633071,-0.17270387424873945,-0.16885168013054397,-0.16539841413926126,-0.16226931651023335,-0.15943131057048276,-0.15668491764428438,-0.1544932189344479},
+{-1.0157285621994916,-0.5510079168503665,-0.3933458419120086,-0.3225478857955437,-0.2814910446385568,-0.2569634347198644,-0.23731699649347604,-0.22264702822437243,-0.21116020025425541,-0.20185084963205213,-0.19411948594654405,-0.18758075113406392,-0.18194866008073518,-0.17703855017704484,-0.1727069822954519,-0.16885544283165643,-0.16540273863741106,-0.16227412945161745,-0.1594365482303175,-0.15669073963498192,-0.1544991329178913},
+{-1.0154190741308895,-0.5508650276458553,-0.39327652577294714,-0.3225076578975461,-0.28146555005787377,-0.2569484214398301,-0.23730489468945848,-0.2226390716127753,-0.2111552317067975,-0.20184811178006612,-0.1941184939840923,-0.18758113979474444,-0.18195015672893078,-0.17704096413383752,-0.17271017021766966,-0.1688592843728145,-0.16540714110247734,-0.1622790195206818,-0.15944186222050405,-0.15669663511711462,-0.15450512144298045},
+{-1.015109642220473,-0.5507222832897511,-0.39320733388133533,-0.3224675408023643,-0.2814401583901116,-0.256933484571789,-0.2372928865365651,-0.22263120641441958,-0.21115035201646037,-0.20184546130698777,-0.19411758748390184,-0.187581612323811,-0.18195173564224376,-0.1770434593496475,-0.17271343822811502,-0.1688632049677068,-0.16541162174988244,-0.16228398692734913,-0.1594472527533668,-0.15670260432889904,-0.1545111847302394},
+{-1.0148002669006075,-0.5505796840125612,-0.39313826646690586,-0.3224275347415073,-0.2814148698719805,-0.25691862448846337,-0.23728097226602074,-0.22262343285130726,-0.21114556140624074,-0.20184289843530223,-0.19411676666805988,-0.18758216894175916,-0.18195339703999025,-0.1770460360434214,-0.17271678653845868,-0.16886720483020667,-0.16541618079342868,-0.16228903188070376,-0.15945272003351363,-0.1567086475020858,-0.15451732299207777},
+{-1.0144909486036866,-0.5504372300474998,-0.3930693237592209,-0.32238763995172803,-0.28138968473457737,-0.25690384156692403,-0.2372691521137682,-0.22261575115018672,-0.2111408600996043,-0.20184042339602115,-0.19411603176321535,-0.1875828098709036,-0.18195514114064792,-0.1770486944321874,-0.1727202153635261,-0.168871284173278,-0.1654208184484247,-0.16229415459005736,-0.15945826427569898,-0.15671476486741653,-0.154523536452146},
+{-1.0141816877608392,-0.5502949216243138,-0.3930005059854267,-0.3223478566665392,-0.28136460321802303,-0.2568891361863024,-0.2372574263089291,-0.2226081615349358,-0.2111362483215089,-0.20183803641648979,-0.19411538299654296,-0.18758353533250727,-0.1819569681661335,-0.17705143473916962,-0.17272372491676435,-0.16887544321578218,-0.16542553492459433,-0.16229935526854433,-0.15946388568332281,-0.15672095665973984,-0.154529825328666},
+{-1.0138724848050842,-0.5501527589788395,-0.3929318133800308,-0.3223081851231058,-0.2813396255578198,-0.2568745087173028,-0.2372457950909279,-0.22260066423557134,-0.2111317262997403,-0.2018357377238118,-0.1941148205945069,-0.1875843455514996,-0.18195887833908841,-0.17705425718469314,-0.17272731541211783,-0.16887968217326943,-0.16543033044482058,-0.16230463412811957,-0.1594695844727454,-0.15672722311910547,-0.15453618984500395},
+{-1.0135633401685737,-0.550010742342657,-0.39286324617125956,-0.32226862555540947,-0.28131475199204203,-0.25685995953914187,-0.23723425869238213,-0.2225932594763833,-0.21112729425585997,-0.20183352754621353,-0.19411434478521983,-0.18758524074752359,-0.1819608718814436,-0.17705716198697985,-0.17273098706890266,-0.16888400125824887,-0.16543520522087363,-0.1623099913816617,-0.15947536085204206,-0.15673356447322817,-0.15454263022486714},
+{-1.0132542542832894,-0.5498688719511406,-0.3927948045936347,-0.3222291782024911,-0.281289982764406,-0.2568454890273131,-0.23722281735547313,-0.22258594749084182,-0.21112295242465962,-0.20183140611156603,-0.19411395579805912,-0.1875862211512498,-0.18196294901626686,-0.1770601493674917,-0.17273474009884637,-0.16888840069402988,-0.1654401594705348,-0.16231542724440828,-0.1594812150350151,-0.15673998096801256,-0.15454914668882225},
+{-1.0129452275815183,-0.5497271480383716,-0.39272648887657624,-0.3221898433014587,-0.28126531810814015,-0.2568310975554482,-0.23721147131320208,-0.2225787285012757,-0.21111870102956232,-0.20182937365039777,-0.19411365386260115,-0.18758728697528682,-0.18196510997225346,-0.1770632195490549,-0.17273857471870713,-0.16889288069364738,-0.16544519341128705,-0.16232094192743318,-0.15948714723087676,-0.15674647283262289,-0.15455573946363188},
+{-1.0126362604969685,-0.549585570840911,-0.3926582992562828,-0.32215062109091264,-0.2812407582665628,-0.25681678550209597,-0.23720022080532033,-0.2225716027391229,-0.21111454030160814,-0.20182743039039508,-0.19411343920450008,-0.1875884384562312,-0.18196735496886163,-0.177066372751554,-0.17274249114990425,-0.16889744147958652,-0.165450307260258,-0.1623265356447945,-0.15949315765361405,-0.1567530403148396,-0.15456240876937954},
+{-1.0123273534626307,-0.5494441405963713,-0.3925902359669351,-0.32211151181114417,-0.28121630348043425,-0.2568025532376481,-0.23718906607246026,-0.2225645704357504,-0.2111104704704303,-0.20182557656049482,-0.1941133120577092,-0.18758967581268848,-0.18196968423599458,-0.17706960920293113,-0.172746489608258,-0.16890208327269818,-0.16545550123650798,-0.1623322086183805,-0.15949924651340552,-0.15675968364983817,-0.15456915483594003},
+{-1.01201850691033,-0.5493028575397574,-0.3925222992407811,-0.3220725157023736,-0.2811919539932859,-0.2567884011413071,-0.23717800735568062,-0.2225576318222693,-0.2111064917664578,-0.20182381239247604,-0.19411327265254386,-0.18759099927110867,-0.18197209800094072,-0.17707292912162131,-0.17275057031656615,-0.16890680629123267,-0.16546077555963734,-0.16233796105852605,-0.15950541402965257,-0.15676640307758305,-0.1545759778876885},
+{-1.0117097212744568,-0.549161721910032,-0.3924544893169184,-0.3220336330069813,-0.28116771004901864,-0.25677432958450197,-0.23716704489891072,-0.22255078712987597,-0.21110260442408446,-0.20182213811314398,-0.19411332122037095,-0.1875924090592207,-0.1819745964946975,-0.1770763327348419,-0.1727547334880768,-0.1689116107571067,-0.1654661304495022,-0.16234379318493097,-0.15951166040872522,-0.1567731988404404,-0.15458287814111316},
+{-1.0114009969873408,-0.549020733946108,-0.3923868064303093,-0.3219948639676744,-0.28114357188940176,-0.25676033894694683,-0.2371561789425698,-0.22254403659067634,-0.21109880867520303,-0.20182055395595455,-0.19411345799416324,-0.18759390540101606,-0.18197717994461016,-0.1770798202651065,-0.17275897935400053,-0.16891649689381438,-0.1654715661259587,-0.1623497052174372,-0.15951798587356336,-0.15678007117661252,-0.15458985582766616},
+{-1.011092334483699,-0.5488798938869124,-0.39231925081841723,-0.32195620882468745,-0.2811195397603541,-0.25674642960186134,-0.23714540972922293,-0.2225373804373305,-0.21109510475196203,-0.2018190601504415,-0.19411368320345446,-0.18759548852351315,-0.18197984857670235,-0.1770833919353123,-0.17276330812691754,-0.16892146492290294,-0.16547708280749873,-0.16235569736885225,-0.15952439063029544,-0.1567870203327857,-0.15459691116747365},
+{-1.0107837341960888,-0.5487392019732553,-0.3922518227189755,-0.3219176678247493,-0.2810956139071408,-0.25673260192009195,-0.23713473750780167,-0.22253081890573867,-0.21109149288939477,-0.20181765692758802,-0.19411399708580745,-0.1875971586566294,-0.18198260262759902,-0.17708704797399832,-0.1727677200319988,-0.16892651506975653,-0.16548268071741745,-0.1623617698695483,-0.15953087489712914,-0.15679404654575535,-0.15460404439200204},
+{-1.010475196559355,-0.5485986584452434,-0.39218452237203394,-0.32187924121377876,-0.28107179457622067,-0.256718856281168,-0.23712416252107005,-0.22252435222873146,-0.21108797332587415,-0.20181634451975583,-0.19411439987416657,-0.18759891602503842,-0.18198544232943448,-0.17709078860649186,-0.17277221529612063,-0.16893164755667556,-0.16548836007876844,-0.16236792292991709,-0.15953743889441796,-0.15680115006105666,-0.15461125572494439},
+{-1.0101667220070425,-0.548458263545001,-0.39211735001646275,-0.3218409292347246,-0.28104808201881326,-0.2567051930570443,-0.2371136850178459,-0.2225179806461881,-0.2110845462972719,-0.20181512315782868,-0.1941148918025135,-0.18760076086077504,-0.18198836791319195,-0.1770946140578502,-0.17277679413817282,-0.1689368626105363,-0.16549412111311312,-0.16237415677801437,-0.15954408283322152,-0.1568083311181141,-0.15461854538739317},
+{-1.0098583109734562,-0.5483180175136653,-0.392050305891388,-0.3218027321355237,-0.2810244764757215,-0.2566916126238681,-0.23710330524446022,-0.2225117043891771,-0.21108121203735664,-0.2018139930739835,-0.19411547310811272,-0.18760269338572755,-0.1819913796135637,-0.1770985245548502,-0.17278145678739065,-0.16894216045818666,-0.16549996404383194,-0.16238047162880775,-0.15955080693545654,-0.15681558996041645,-0.1546259136059973},
+{-1.0095499638932637,-0.5481779205966149,-0.3919833902416343,-0.3217646501627911,-0.28100097820356496,-0.2566781153569764,-0.2370930234504698,-0.22250552369972354,-0.21107797078907709,-0.20181295450183256,-0.19411614402403643,-0.1876047138347019,-0.18199447766545518,-0.17710252032422602,-0.17278620346829143,-0.16894754132535184,-0.16550588909149155,-0.1623868677109357,-0.15955761141293578,-0.15682292683204935,-0.15463336061100108},
+{-1.0092416812009404,-0.5480379730363225,-0.3919166033054893,-0.32172668356695056,-0.2809775874469125,-0.25666470162707355,-0.23708283988585777,-0.22249943881334389,-0.21107482278829082,-0.20181200767494545,-0.19411690478992227,-0.1876068224325138,-0.18199766230415548,-0.1771066015978704,-0.17279103440591825,-0.16895300543977498,-0.1655118964823572,-0.16239334524492222,-0.15956449648871285,-0.15683034197289203,-0.15464088662706388},
+{-1.0089334633311893,-0.5478981750774636,-0.39184994532833173,-0.32168883259701886,-0.2809543044604368,-0.2566513718144421,-0.23707275479900147,-0.222493449972319,-0.211071768276895,-0.2018111528270765,-0.19411775564246625,-0.18760901941425345,-0.18200093376911752,-0.177110768601068,-0.17279594983160962,-0.16895855303013718,-0.16551798644519522,-0.16239990445664887,-0.15957146237913378,-0.15683783562639064,-0.15464849188622054},
+{-1.0086253107191965,-0.5477585269653318,-0.39178341655286886,-0.3216510975003928,-0.2809311294956558,-0.25663812628614835,-0.23706276844592367,-0.2224875574152776,-0.2110688074970284,-0.2018103901917101,-0.19411869682099336,-0.18761130500514867,-0.18200429229459303,-0.17711502156164727,-0.1728009499682912,-0.16896418432941118,-0.1655241591991512,-0.16240654556671075,-0.15957850930674056,-0.1568454080295396,-0.1546561766071335},
+{-1.0083172238001055,-0.5476190289455616,-0.39171701722402474,-0.3216134785314324,-0.28090806280151526,-0.2566249654215369,-0.2370528810766359,-0.22248176138343467,-0.21106594068679385,-0.2018097200018758,-0.1941197285642744,-0.18761367943521634,-0.18200773812051807,-0.1771193607121404,-0.17280603504913472,-0.16896989955958475,-0.1655304149727641,-0.16241326880381735,-0.15958563749160248,-0.15685305942743355,-0.15466394102506342},
+{-1.0080092030086902,-0.5474796812651803,-0.39165074758550134,-0.32157597594007825,-0.28088510463497585,-0.25661188959691117,-0.2370430929410361,-0.22247606211706739,-0.21106316809067494,-0.20180914249662862,-0.194120851109588,-0.1876161429362213,-0.18201127148435603,-0.1771237862787558,-0.1728112053016133,-0.1689756989586897,-0.16553675399289602,-0.16242007439046802,-0.15959284715179933,-0.15686079006304965,-0.15467178537056725},
+{-1.0077012487821122,-0.5473404841718121,-0.39158460788621596,-0.3215385899813157,-0.2808622552498008,-0.25659889918024703,-0.23703340429941022,-0.22247045986524938,-0.21106048995177673,-0.2018086579111582,-0.19412206470330773,-0.18761869574370849,-0.1820148926309031,-0.17712829849835998,-0.17281646095952397,-0.16898158275876085,-0.16554317648694905,-0.16242696255848443,-0.15960013851083943,-0.15686860017501658,-0.15467970987327817},
+{-1.0073933615547404,-0.5472014379136354,-0.3915185983718885,-0.3215013209072737,-0.2808395149001939,-0.25658599455336173,-0.23702381540384465,-0.22246495486714934,-0.21105790651519385,-0.2018082664811658,-0.1941233695824991,-0.1876213380849947,-0.18201860180042218,-0.17713289759683448,-0.17282180224923138,-0.16898755118563713,-0.1655496826846985,-0.16243393353015279,-0.15960751179443378,-0.15687649000368253,-0.15468771476072618},
+{-1.007085541762514,-0.547062542740548,-0.3914527192890773,-0.3214641689722413,-0.28081688384530423,-0.2565731760831227,-0.2370143265105753,-0.22245954736922613,-0.21105541802488403,-0.2018079684419547,-0.19412476599077877,-0.1876240701929106,-0.18202239923031982,-0.17713758380935474,-0.17282722940494466,-0.16899360447600031,-0.1655562728099369,-0.1624409875330315,-0.15961496721853052,-0.15688445978707932,-0.1546958002612513},
+{-1.0067777898428218,-0.5469237989012967,-0.3913869708899682,-0.32142713443303705,-0.2807943623383835,-0.25656044414927237,-0.23700493787883659,-0.22245423761906125,-0.21105302472702192,-0.20180776403273626,-0.19412625417278662,-0.187626892302049,-0.18202628516665698,-0.17714235736565342,-0.1728327426592955,-0.16899974286430108,-0.16556294709516806,-0.16244812479470738,-0.15962250501604558,-0.15689250976649305,-0.15470396661302743},
+{-1.0064701062311272,-0.5467852066461703,-0.39132135341958474,-0.32139021754515795,-0.2807719506390214,-0.25654779912635206,-0.23699564976108434,-0.2224490258606977,-0.2110507268653521,-0.20180765349125807,-0.19412783436852976,-0.18762980464373413,-0.18203025985069132,-0.1771472185009486,-0.17283834224492978,-0.1690059665830006,-0.16556970576839092,-0.16245534554724372,-0.15963012540368027,-0.15690064017975658,-0.15471221404368407},
+{-1.0061624913648402,-0.546646766227866,-0.391255867132827,-0.3213534185673126,-0.28074964900669386,-0.25653524138289185,-0.23698646242186783,-0.222443912346165,-0.21104852469309776,-0.20180763705926097,-0.19412950682607288,-0.18763280745294253,-0.18203432353222126,-0.17715216745082785,-0.17284402839912616,-0.16901227587187861,-0.16557654906486619,-0.16246265001647942,-0.15963782861086884,-0.15690885126950604,-0.15472054277988434},
+{-1.0058549456799,-0.5465084778970777,-0.3911905122772481,-0.3213167377572148,-0.2807274576982337,-0.2565227713019027,-0.2369773761154761,-0.22243889732246203,-0.21104641845217031,-0.20180771497133776,-0.19413127179124956,-0.18763590096372695,-0.18203847645132498,-0.17715720444785177,-0.17284980135504213,-0.16901867096323997,-0.16558347721236544,-0.16247003843322716,-0.15964561486767082,-0.15691714326507622,-0.15472895305727263},
+{-1.0055474696139228,-0.5463703419077746,-0.39112528910793287,-0.32128017537347375,-0.28070537698008025,-0.25651038925080627,-0.23696839110822054,-0.22243398104234302,-0.21104440839512506,-0.20180788747285305,-0.19413312950860018,-0.18763908541301078,-0.1820427188557403,-0.17716232972816215,-0.17285566134580677,-0.16902515209389435,-0.1655904904435772,-0.16247751102746122,-0.15965348439500815,-0.15692551641197383,-0.15473744509588983},
+{-1.0052400636043828,-0.5462323585124196,-0.39106019787536184,-0.32124373167825127,-0.28068340710868256,-0.2564980956092029,-0.23695950765662133,-0.22242916375485322,-0.21104249476958614,-0.20180815480408398,-0.19413508022881842,-0.18764236103272935,-0.18204705099380192,-0.17716754352815656,-0.17286160861189614,-0.1690317195022999,-0.16559758899197163,-0.16248506802747897,-0.15966143742733152,-0.15693397094159423,-0.15474601913419406},
+{-1.0049327280879368,-0.5460945279665452,-0.39099523883530196,-0.3212074069285933,-0.28066154834652934,-0.2564858907501417,-0.23695072602217238,-0.22242444571240583,-0.21104067782638936,-0.2018085172045545,-0.19413712419481044,-0.18764572806331614,-0.18205147310897019,-0.1771728460800972,-0.17286764338750515,-0.1690383734256784,-0.16560477309080568,-0.1624927096662816,-0.15966947418984034,-0.15694250709583457,-0.15475467539069143},
+{-1.0046254635041052,-0.5459568505249592,-0.3909304122425965,-0.32117120139055544,-0.28063980095916463,-0.25647377504476765,-0.2369420464710288,-0.22241982716965936,-0.2110389578167826,-0.20180897491796657,-0.1941392616568436,-0.18764918674034448,-0.18205598545159773,-0.17717823763102558,-0.17287376591491466,-0.16904511410589862,-0.16561204297430265,-0.16250043617596077,-0.15967759491242361,-0.1569511251075255,-0.15476341409451777},
+{-1.0043182702890974,-0.5458193264430378,-0.3908657183509803,-0.32113511532497796,-0.28061816520884975,-0.2564617488735337,-0.23693346926397396,-0.2224153083812439,-0.21103733499012378,-0.20180952818965636,-0.19414149286716054,-0.18765273730075194,-0.1820605882720514,-0.17718371841012015,-0.1728799764293143,-0.16905194177886074,-0.16561939888109123,-0.16250824778727235,-0.1596857998288641,-0.15695982521384622,-0.15477223547151198},
+{-1.0040111488816095,-0.5456819559775852,-0.3908011574192898,-0.3210991489979165,-0.28059664136299034,-0.2564498126057657,-0.23692499466832828,-0.22241088960257116,-0.2110358096021656,-0.20181017726048367,-0.1941438180738544,-0.1876563799844746,-0.18206528182037118,-0.1771892886592923,-0.17288627517022803,-0.16905885668570875,-0.16562684104219727,-0.1625161447335728,-0.15969408916822658,-0.15696860764884946,-0.15478113973516372},
+{-1.003704099720899,-0.545544739386699,-0.3907367297037325,-0.32106330267106387,-0.2805752296862778,-0.2564379666205383,-0.23691662294903892,-0.22240657109153972,-0.21103438190397128,-0.20181092237857,-0.19414623752881255,-0.18766011502808055,-0.18207006634287382,-0.1771949486203397,-0.17289266238363155,-0.16906585906535554,-0.16563436969870793,-0.16252412724604426,-0.1597024631677897,-0.15697747264206896,-0.15479012711605833},
+{-1.003397123244845,-0.5454076769276526,-0.390672435463145,-0.3210275766123232,-0.2805539304437872,-0.25642621129382803,-0.236908354368623,-0.2224023531012449,-0.21103305214829504,-0.20181176378950738,-0.1941487514803697,-0.18766394267329645,-0.18207494209175934,-0.17720069852802567,-0.17289913830410342,-0.16907294916423155,-0.16564198508434913,-0.16253219555903797,-0.15971092205438708,-0.15698642043930988,-0.15479919782778495},
+{-1.0030902198927265,-0.5452707688610658,-0.3906082749560653,-0.3209919710880058,-0.28053274390424576,-0.25641454699304234,-0.2369001891961915,-0.2223982358957386,-0.21103182059050596,-0.2018127017385467,-0.1941513601865239,-0.18766786316270156,-0.18207990931821882,-0.1772065386275017,-0.1729057031748482,-0.16908012721944488,-0.16564968744100383,-0.16254034990768673,-0.15971946606930487,-0.1569954512648053,-0.1548083520917487},
+{-1.0027833901039003,-0.5451340154456332,-0.39054424844367475,-0.3209564863644516,-0.28051167033763136,-0.2564029741038638,-0.23689212770176482,-0.22239421973124252,-0.21103068748696785,-0.20181373647689327,-0.19415406389626355,-0.18767187673623198,-0.18208496827919873,-0.177212469160537,-0.17291235724412957,-0.16908739347546486,-0.16565747701019973,-0.16254859052675386,-0.15972809544456368,-0.15700456535836338,-0.1548175901271236},
+{-1.0024766343180787,-0.5449974169421665,-0.3904803561874104,-0.3209211227122637,-0.28049071001429127,-0.25639149299323094,-0.23688417015220864,-0.22239030487210698,-0.2110296530906055,-0.20181486824856165,-0.19415686286544087,-0.18767598363719173,-0.18209011922132845,-0.17721849036833248,-0.1729191007494535,-0.16909474817440184,-0.16566535402904492,-0.16255691765199742,-0.15973681041785426,-0.1570137629489068,-0.15482691215086675},
+{-1.0021699529739578,-0.5448609736115486,-0.3904165984465351,-0.3208858803999135,-0.28046986320084955,-0.2563801040398488,-0.23687631681849552,-0.2223864915761311,-0.2110287176594312,-0.20181609730749983,-0.19415975734855806,-0.18768018410148102,-0.1820953624022792,-0.1772246024916626,-0.1729259339415279,-0.16910219156257256,-0.16567331873886815,-0.16256533151712915,-0.15974561123249487,-0.15702304427020408,-0.1548363183816548},
+{-1.0018633465126925,-0.5447246857172985,-0.3903529754888808,-0.32085075969617094,-0.28044913017085094,-0.2563688076234172,-0.23686856796810218,-0.22238278010657098,-0.21102788145277884,-0.20181742390002455,-0.19416274759639407,-0.18768447838417046,-0.18210069807460627,-0.17723080577492567,-0.17293285706439576,-0.16910972388207313,-0.16568137138101235,-0.1625738323628667,-0.15975449811737974,-0.15703240956142395,-0.15484580903766698},
+{-1.0015568153741796,-0.5445885535224022,-0.3902894875747194,-0.3208157608771671,-0.2804285111973144,-0.2563576041103346,-0.23686092387507074,-0.22237917072858693,-0.2110271447248806,-0.2018188482836365,-0.19416583386993125,-0.18768886672259555,-0.18210612649170344,-0.17723710046749375,-0.17293987036042324,-0.16911734537880818,-0.16568951220119743,-0.1625824204225239,-0.1597634713181435,-0.15704185904967005,-0.15485538433944157},
+{-1.001250359998167,-0.5444525772900448,-0.39022613497017744,-0.320780884212283,-0.280408006552463,-0.25634649388553044,-0.23685338481202223,-0.2223756637066856,-0.2110265077357525,-0.2018203707085604,-0.19416901642348705,-0.18769334936725102,-0.18211164791310352,-0.17724348680947344,-0.172946974081313,-0.16912505630067187,-0.16569774144392113,-0.16259109593652,-0.15977253107203637,-0.1570513929743953,-0.15486504451149585},
+{-1.0009439808270102,-0.5443167572848893,-0.390162917940728,-0.3207461299734149,-0.28038761651271216,-0.25633547731573003,-0.23684595105105188,-0.2223722593075479,-0.2110259707469453,-0.2018219914259305,-0.19417229551270054,-0.18769792656031825,-0.18211726258870442,-0.1772499650463999,-0.17295416847274225,-0.1691328568915509,-0.16570605935008587,-0.16259985914233255,-0.15978167762453666,-0.15706101156241914,-0.15487478976488944},
+{-1.0006376783005209,-0.5441810937723659,-0.39009983675279614,-0.3207114984381576,-0.2803673413465191,-0.2563245547847117,-0.23683862286831925,-0.22236895779494148,-0.2110255340149223,-0.2018237106921248,-0.19417567139608138,-0.1877025985515246,-0.18212297077879214,-0.17725653542625253,-0.17296145378605843,-0.16914074739617035,-0.16571446616545416,-0.16260871028065083,-0.15979091121759836,-0.1570707150500681,-0.15488462033675887},
+{-1.0003314528599105,-0.5440455870186014,-0.39003689167424227,-0.32067698987845006,-0.28034718133689296,-0.2563137266681821,-0.23683140053537954,-0.22236575943523462,-0.21102519780369278,-0.2018255287640187,-0.19417914432823125,-0.18770736559099532,-0.1821287727390768,-0.17726319819416858,-0.17296883027043464,-0.1691487280689472,-0.16572296213739435,-0.1626176495898335,-0.159800232091726,-0.15708050368044724,-0.15489453644683238},
+{-1.0000253049470658,-0.543910237289964,-0.3899740829734668,-0.3206426045731092,-0.2803271367561706,-0.25630299333629125,-0.23682428433232872,-0.22236266450039466,-0.2110249623731022,-0.20182744589835977,-0.1941827145709567,-0.18771222792373976,-0.1821346687289207,-0.17726995360415287,-0.17297629817511506,-0.16915679914995962,-0.16573154751037578,-0.16262667731429303,-0.15980964048895885,-0.15709037767767597,-0.15490453832521212},
+{-0.9997192350050028,-0.5437750448568011,-0.3899114109212576,-0.32060834279869255,-0.28030720788432006,-0.2562923551742671,-0.23681727453369206,-0.22235967325794093,-0.21102482798684719,-0.20182946235267707,-0.19418638238309427,-0.18771718580509855,-0.18214065900841092,-0.17727680190000683,-0.17298385775504244,-0.16916496089574196,-0.16574022253591636,-0.1626357936956282,-0.1598191366634012,-0.15710033728838368,-0.15491462620379082},
+{-0.9994132434750398,-0.5436400099874135,-0.3898488757881893,-0.3205742048333917,-0.280287395000542,-0.25628181254774063,-0.23681037141997763,-0.22235678597658648,-0.21102479490929227,-0.20183157838366128,-0.19419014802113566,-0.18772223948384692,-0.18214674383274598,-0.17728374333449892,-0.17299150926129414,-0.16917321355178672,-0.16574898745875544,-0.16264499897415874,-0.15982872085140798,-0.15711038274501732,-0.1549248003122159},
+{-0.9991073307997738,-0.5435051329498464,-0.3897864778455613,-0.3205401909559811,-0.280267698380257,-0.2562713658431903,-0.23680357527058504,-0.22235400292754548,-0.21102486340099347,-0.20183379425317582,-0.1941940117468164,-0.18772738921209964,-0.18215292346205558,-0.1772907781555375,-0.17299925294712182,-0.16918155736583174,-0.16575784252898984,-0.1626542933935866,-0.1598383933080072,-0.15712051428624818,-0.15493506089029552},
+{-0.9988014974207502,-0.5433704140142623,-0.38972421736482943,-0.32050630144651393,-0.28024811830820795,-0.25626101543831226,-0.23679688636289598,-0.22235132438341054,-0.21102503372871695,-0.20183611022328307,-0.19419797381883086,-0.18773263524495576,-0.18215919815584414,-0.17729790661599054,-0.17300708906722662,-0.16918999259480927,-0.16576678799258104,-0.16266367720167807,-0.15984815427104593,-0.15713073215449924,-0.154945408174612},
+{-0.9984957437834012,-0.5432358534541777,-0.3896620946206326,-0.3204725365879142,-0.2802286550646187,-0.25625076170037175,-0.23679030498132647,-0.2223487506153674,-0.2110253061608489,-0.20183852655597434,-0.19420203449701035,-0.18773797783492796,-0.18216556817843355,-0.17730512897142603,-0.17301501787783025,-0.16919851948711084,-0.16577582410610603,-0.16267315064213506,-0.15985800399884909,-0.15714103658942236,-0.15495584240015603},
+{-0.9981900703295068,-0.5431014515393002,-0.38960010988631666,-0.32043889666022096,-0.28020930892968465,-0.25624060501810675,-0.23678383140544668,-0.22234628189622185,-0.2110256809604465,-0.20184104351223198,-0.1942061940461457,-0.18774341723847954,-0.1821720337898256,-0.17731244547184133,-0.17302303963492704,-0.16920713829722445,-0.1657849511156968,-0.1626827139626954,-0.15986794273355542,-0.15715142782903513,-0.15496636380967743},
+{-0.9978844775028648,-0.5429672085443826,-0.3895382634397464,-0.32040538194677026,-0.28019008019120406,-0.2562305457588536,-0.236777465924078,-0.22234391850217605,-0.21102615839704697,-0.2018436613583816,-0.1942104527238797,-0.1877489537143333,-0.18217859524969526,-0.17731985637175285,-0.17303115459607454,-0.1692158492757443,-0.16579416926987278,-0.16269236740755844,-0.15987797072511967,-0.1571619061217575,-0.1549769726449881},
+{-0.9975789657475502,-0.5428331247417475,-0.38947655555570293,-0.32037199273317185,-0.2801709691285339,-0.2562205843093466,-0.23677120881805536,-0.2223416607067037,-0.21102673874011657,-0.20184638036094782,-0.19421481079616854,-0.18775458751660778,-0.1821852528243113,-0.17732736192688492,-0.17303936301904344,-0.16922465267258247,-0.16580347882640467,-0.1627021112261673,-0.15988808822525868,-0.15717247170879034,-0.1549876691490084},
+{-0.9972735355078086,-0.5426992004063891,-0.38941498651080053,-0.3203387293013833,-0.2801519760298845,-0.2562107210457043,-0.23676506037315903,-0.22233950878155895,-0.21102742225718885,-0.20184920078304458,-0.1942192685203139,-0.18776031890479317,-0.18219200677289393,-0.17733496239335977,-0.1730476651618602,-0.16923354875089558,-0.16581288003189343,-0.16271194566905933,-0.15989829548358614,-0.15718312483717511,-0.15499845356411868},
+{-0.9969681872287595,-0.5425654358140974,-0.3893535565850357,-0.32030559194144814,-0.2801331011768582,-0.2562009563399812,-0.2367590208765762,-0.2223374630076762,-0.21102820921923637,-0.2018521228951471,-0.19422382616302514,-0.18776614814272818,-0.18219885736041874,-0.17734265802900495,-0.17305606128738305,-0.16924253776086573,-0.16582237314111126,-0.16272187098637403,-0.1599085927529842,-0.15719386575754868,-0.15500932613767304},
+{-0.9966629213541722,-0.5424318312408758,-0.3892922660570548,-0.3202725809364324,-0.2801143448613601,-0.25619129057868406,-0.23675309061847827,-0.2223355236608171,-0.2110290998982407,-0.20185514696539997,-0.19422848399035786,-0.18777207548851038,-0.18220580485466087,-0.1773504490963802,-0.17306455165383738,-0.16925161996040572,-0.16583195841080567,-0.16273188742901823,-0.159918980285795,-0.1572046947162704,-0.1550202871152635},
+{-0.9963577383301185,-0.542298386963239,-0.38923111520838916,-0.32023969657811335,-0.28009570736917055,-0.2561817241326736,-0.23674726988660666,-0.22233369101779488,-0.2110300945663539,-0.20185827326052674,-0.1942332422634223,-0.18777810120518268,-0.1822128495174553,-0.17735833584566763,-0.17307313652371192,-0.16926079560637675,-0.16584163609012137,-0.16274199524846722,-0.15992945833023953,-0.15721561196185974,-0.15503133673702507},
+{-0.9960526386018103,-0.5421651032603023,-0.389170104318751,-0.32020693915329446,-0.28007718898952305,-0.2561722573882008,-0.2367415589728381,-0.2223319653586202,-0.21103119349369592,-0.20186150205482534,-0.19423810125094576,-0.18778422555405427,-0.18221999161438873,-0.17736631854360496,-0.17308181616201068,-0.16927006495191677,-0.16585140643395846,-0.16275219469865476,-0.15994002714546696,-0.1572266177482078,-0.15504247525706205},
+{-0.9957476226153972,-0.5420319804095897,-0.3891092336729258,-0.3201743089509108,-0.28005879000946265,-0.2561628907245961,-0.2367359581681825,-0.22233034695905474,-0.2110323969576342,-0.20186483361879937,-0.1942430612150048,-0.18779044880295714,-0.1822272314097262,-0.17737439744632866,-0.17309059082776912,-0.16927942826173137,-0.1658612696971744,-0.16276248603621468,-0.1599506869788314,-0.15723771233554373,-0.15505370291720055},
+{-0.9954426908166525,-0.5418990186924191,-0.3890485035526723,-0.3201418062650845,-0.28004051072302616,-0.25615362451142687,-0.23673046776252704,-0.22232883610229237,-0.21103370523186982,-0.2018682682265336,-0.19424812242641565,-0.18779677121783322,-0.18223456917168335,-0.17738257282110226,-0.1730994607880092,-0.16928888579225543,-0.16587122613839256,-0.16277286951273595,-0.15996143808462193,-0.15724889597400704,-0.15506501996576105},
+{-0.995137843652607,-0.5417662183872096,-0.3889879142425201,-0.3201094313856885,-0.2800223514194329,-0.25614445914169437,-0.2367250880565024,-0.22232743306477687,-0.21103511859331547,-0.20187180615032219,-0.19425328515266926,-0.18780319306422655,-0.18224200517055067,-0.1773908449290218,-0.1731084263109608,-0.1692984378061766,-0.1658812760136925,-0.1627833453899683,-0.15997228072251346,-0.15726016891997574,-0.15507642664884713},
+{-0.9948330815697446,-0.5416335797773684,-0.3889274660295712,-0.32007718460549484,-0.28000431239367174,-0.2561353949839571,-0.23671981934002417,-0.22232613813413593,-0.21103663731882705,-0.20187544766601206,-0.19425854966213763,-0.1878097146112907,-0.18224953967013846,-0.17739921403114067,-0.17311748765484936,-0.1693080845613366,-0.16589141957349796,-0.1627939139240624,-0.15998321514172176,-0.15727153143582484,-0.15508792321550402},
+{-0.9945284050147123,-0.5415011031442845,-0.388867159198071,-0.3200450662199472,-0.27998639393521785,-0.25612643242534716,-0.236714661911833,-0.22232495158726806,-0.2110382616838109,-0.20187919304979118,-0.19426391622823758,-0.1878163361265166,-0.18225717293917398,-0.1774076803962572,-0.17312664509614706,-0.1693178263193147,-0.1659016570830829,-0.1628045753694778,-0.15999424160486342,-0.1572829837790266,-0.15509950991391008},
+{-0.9942238144363458,-0.541368788770086,-0.38880699403731,-0.32001307652078026,-0.2799685963426839,-0.2561175718486908,-0.23670961606769936,-0.2223238737091009,-0.2110399919696846,-0.20188304257794698,-0.19426938511531944,-0.1878230578832074,-0.18226490524867245,-0.17741624428559533,-0.17313589889856473,-0.16932766334574012,-0.1659119887935816,-0.16281532999117587,-0.1600053603589089,-0.15729452621576456,-0.15511118699372162},
+{-0.9939193102810222,-0.5412366369404253,-0.3887469708343332,-0.3199812158090083,-0.2799509199074066,-0.2561088136249481,-0.2367046821065486,-0.22232290478139305,-0.21104182845732566,-0.20188699653185438,-0.1942749566017028,-0.1878298801518241,-0.18227273686386525,-0.1774249059707813,-0.17314524932818642,-0.16933759590658326,-0.16592241496883275,-0.16282617804847632,-0.16001657166724215,-0.15730615900973532,-0.1551229547050781},
+{-0.9936148929979609,-0.5411046479402302,-0.3886870898815715,-0.3199494843802171,-0.2799333649282687,-0.2561001581492519,-0.23669986033033297,-0.22232204509215592,-0.21104377142546582,-0.20189105518835504,-0.1942806309606766,-0.1878368032089952,-0.18228066805897924,-0.17743366571758656,-0.173154696659239,-0.16934762426230066,-0.16593293586863922,-0.16283711980521787,-0.16002787578574384,-0.15731788242348443,-0.15513481329722367},
+{-0.9933105630360544,-0.540972822053746,-0.3886273514677612,-0.3199178825284861,-0.27991593170283124,-0.25609160578595436,-0.23669515103863148,-0.22232129492262231,-0.21104582115714265,-0.20189521882743122,-0.19428640846308554,-0.18784382732471272,-0.18228869910193168,-0.177442523793232,-0.17316424115942652,-0.16935774868247222,-0.1659435517453005,-0.16284815551847487,-0.16003927296983989,-0.1573296967243465,-0.15514676301742725},
+{-0.9930063208426887,-0.5408411595683731,-0.3885677558838836,-0.31988641055711753,-0.2798986205253158,-0.2560831569309556,-0.2366905545325153,-0.22232065455851568,-0.21104797793579166,-0.20189948772971889,-0.19429228938939502,-0.1878509527746104,-0.18229683026446253,-0.177451480466857,-0.17317388310023318,-0.16936796942692922,-0.16595426286902182,-0.1628592854575146,-0.16005076348093894,-0.15734160217805027,-0.15515880412185368},
+{-0.9927021668686464,-0.5407096607712276,-0.3885083034237624,-0.3198550687634878,-0.279881431700403,-0.25607481196381343,-0.23668607111504514,-0.22232012429000747,-0.21105024204280198,-0.20190386218145306,-0.19429827401285138,-0.18785817983913944,-0.18230506181490114,-0.17746053600785672,-0.1731836227537542,-0.16937828677265543,-0.16596506949838385,-0.16287050988817953,-0.16006234757401216,-0.15735359905674784,-0.15517093686248984},
+{-0.9923981015641417,-0.5405783259534331,-0.3884489943819318,-0.319823857453045,-0.27986436552285454,-0.2560665712579322,-0.23668170109145592,-0.22231970440101634,-0.21105261376571605,-0.2019083424636392,-0.19430436261092154,-0.1878655087919725,-0.18231339403132552,-0.17746969069060015,-0.17319346039106165,-0.16938870098331904,-0.16597597189132784,-0.16288182907531734,-0.16007402551321093,-0.15736568762648062,-0.15518316149390898},
+{-0.9920941253765321,-0.540447155399761,-0.3883898290514338,-0.3197927769233502,-0.27984742229641313,-0.25605843521069005,-0.2366774447664426,-0.22231939518235322,-0.2110550933915647,-0.20191292886381973,-0.19431055546745313,-0.18787293991790932,-0.182321827185703,-0.17747894478564774,-0.17320339628966508,-0.1693992123276331,-0.16598697031837162,-0.16289324328420207,-0.16008579755597907,-0.1573778681646445,-0.1551954782665632},
+{-0.9917902387577655,-0.5403161494024857,-0.38833080772869266,-0.31976182747821724,-0.27983060232412527,-0.25605040418939495,-0.23667330244626328,-0.22231919692113422,-0.21105768120642665,-0.20191762166425065,-0.19431685285979938,-0.18788047349416104,-0.18233036154848037,-0.17748829856462578,-0.1732134307186044,-0.16940982108103242,-0.16599806503688797,-0.16290475278498207,-0.16009766396392422,-0.157390140932975,-0.1552078874359779},
+{-0.9914864421585534,-0.5401853082524042,-0.38827193071141153,-0.31973100942369115,-0.27981390590473154,-0.25604247858997553,-0.23666927443930774,-0.2223191099092361,-0.21106037749693485,-0.20192242115493286,-0.19432325507121107,-0.1878881098009657,-0.182338997396144,-0.17749775230534226,-0.17322356395740712,-0.16942052750825098,-0.16600925631760788,-0.16291635784158132,-0.16010962499737502,-0.1574025062076032,-0.15522038926413018},
+{-0.9911827360291028,-0.5400546322411088,-0.3882131982954746,-0.31970032306278995,-0.2797973333464512,-0.2560346587945048,-0.23666536105241676,-0.2223191344345281,-0.21106318255598921,-0.20192732762109245,-0.19432976238172728,-0.18789584912545365,-0.1823477350036029,-0.177507306275416,-0.1732337962802859,-0.1694313318895979,-0.16602054442206793,-0.16292805873207783,-0.1601216809187065,-0.1574149642649587,-0.15523298400357533},
+{-0.9908791208224983,-0.5399241216627928,-0.38815461078289104,-0.31966976870450026,-0.27978088495284226,-0.25602694517900204,-0.23666156259339743,-0.22231927079228342,-0.2110660966727096,-0.20193234135682303,-0.19433637507655988,-0.18790369174682553,-0.18235657464630606,-0.17751696076061307,-0.17324412796321553,-0.16944223449313256,-0.1660319296228181,-0.16293985572269776,-0.1601338319919421,-0.1574275153742093,-0.15524567191299354},
+{-0.9905755969895083,-0.5397937768101428,-0.38809616847005657,-0.3196393466532612,-0.2797645610270507,-0.25601933813879896,-0.23665787937127902,-0.22231951927217608,-0.2110691201365853,-0.20193746264668277,-0.19434309344192968,-0.18791163795638965,-0.1823655165997593,-0.17752671603227554,-0.1732545592849135,-0.169453235593096,-0.1660434121830292,-0.16295174908185572,-0.16014607848048001,-0.15744015980581594,-0.15525845325394982},
+{-0.9902721649824073,-0.5396635979778068,-0.3880378716616093,-0.3196090572181305,-0.27974836187971164,-0.2560118380470442,-0.23665431170374518,-0.22231988016690707,-0.21107225324470846,-0.20194269178425373,-0.19434991775976584,-0.18791968803616044,-0.18237456114124484,-0.1775365723662219,-0.1732650905199904,-0.16946433546758044,-0.16605499236933952,-0.16296373908571127,-0.16015842064221886,-0.15745289783696137,-0.15527132828302115},
+{-0.9899688252540102,-0.5395335854616121,-0.3879797206583788,-0.319578900712159,-0.27973228781617365,-0.2560044453004622,-0.23665085989652823,-0.22232035377351167,-0.21107549628732158,-0.20194802906286213,-0.19435684832217248,-0.18792784227402137,-0.18238370855010544,-0.17754653004621446,-0.17327572194938057,-0.16947553438535579,-0.16606667045569168,-0.16297582600429905,-0.16017085874868542,-0.15746572973861817,-0.15528429726626314},
+{-0.9896655782573092,-0.5394037395571587,-0.3879217157632553,-0.31954887743827953,-0.27971633914553706,-0.25599716028135333,-0.2366475242622812,-0.2223209403827866,-0.2110788495607352,-0.20195347477373105,-0.1943638854083929,-0.18793610096192026,-0.18239295910328224,-0.1775565893449027,-0.17328645385171626,-0.16948683263305497,-0.16607844671187877,-0.16298801011119224,-0.1601833930602652,-0.15747865578669007,-0.155297360463706},
+{-0.9893624244461208,-0.5392740605631445,-0.3878638572804647,-0.3195189877163074,-0.2797005161780106,-0.25598998336978696,-0.2366443051155045,-0.22232164029465196,-0.21108231336442884,-0.2019590292141089,-0.19437102931284755,-0.1879444643893038,-0.182402313080118,-0.17756675055008486,-0.1732972865081166,-0.16949823047809787,-0.16609032140765123,-0.16300029168223773,-0.16019602384454856,-0.1574916762595393,-0.1553105181385206},
+{-0.9890593642733876,-0.5391445487770881,-0.38780614551447457,-0.319489231852188,-0.2796848192229078,-0.2559829149614501,-0.23664120277130962,-0.22232245380385507,-0.2110858879901798,-0.2019646926782599,-0.19437828032549476,-0.18795293284823344,-0.18241177076559723,-0.1775770139441022,-0.17330822019769698,-0.16950972820308152,-0.1661022948217692,-0.16301267098701544,-0.1602087513731476,-0.15750479142182883,-0.15532377055490088},
+{-0.9887563981934306,-0.5390152044980709,-0.3877485807732768,-0.3194596101636904,-0.2796692485930805,-0.2559759554332999,-0.23663821754573178,-0.22232338120980444,-0.2110895737437346,-0.2019704654611587,-0.19438563873460168,-0.18796150662900857,-0.18242133243541048,-0.17758737980402373,-0.17331925520463187,-0.16952132608821557,-0.16611436721990458,-0.16302514830853454,-0.1602215759045862,-0.15751800155726414,-0.15533711797527872},
+{-0.9884535266618997,-0.5388860280269085,-0.3876911633636695,-0.31943012296406437,-0.27965380460223344,-0.2559691051830697,-0.23663534975241873,-0.22232442280838427,-0.21109337091989744,-0.20197634786183016,-0.19439310483444672,-0.18797018602539595,-0.18243099837361854,-0.17759784841720716,-0.17333039180971355,-0.16953302440923324,-0.16612653888272177,-0.1630377239130496,-0.1602344977142991,-0.15753130693229878,-0.15535056066413233},
+{-0.9881507501325402,-0.5387570196628673,-0.38763389359340295,-0.31940077056782457,-0.27963848756184007,-0.2559623645946374,-0.23663259970901152,-0.22232557889967097,-0.2110972798209474,-0.20198234017996697,-0.19440067890987223,-0.18797897133673303,-0.18244076886210792,-0.17760842006545374,-0.17334163029566696,-0.16954482344526411,-0.16613881008619558,-0.16305039808523247,-0.1602475170720794,-0.15754470783171826,-0.15536409888427727},
+{-0.98784806906135,-0.5386281797097894,-0.3875767717736096,-0.3193715532938626,-0.2796232977872961,-0.2559557340488965,-0.23662996773077793,-0.22232684978689576,-0.21110130074728772,-0.20198844271384075,-0.194408361259363,-0.18798786285688607,-0.18245064418216828,-0.17761909504064022,-0.17335297094506075,-0.16955672348139217,-0.16615118110543392,-0.16306317109730628,-0.1602606342372752,-0.15755820452463354,-0.1553777329014565},
+{-0.9875454839050448,-0.5384995084695845,-0.3875197982124092,-0.319342471459251,-0.2796082355941678,-0.2559492139479005,-0.2366274541409581,-0.2223282357663976,-0.2111054340100793,-0.20199465576396847,-0.19441615217162678,-0.18799686088341616,-0.1824606246274385,-0.17762987362578997,-0.17336441404646052,-0.1695687247952833,-0.16616365222262175,-0.16307604322761904,-0.16027384949335044,-0.15757179728785786,-0.1553914629775761},
+{-0.9872429951179171,-0.5383710062464075,-0.38746297322512646,-0.3193135253813466,-0.2795933012994709,-0.25594280466879127,-0.23662505925447874,-0.22232973714635307,-0.21110967990753693,-0.20200097963441976,-0.19442405194634205,-0.18800596571588812,-0.18247071047343866,-0.17764075610756436,-0.17337595987838483,-0.1695808276705435,-0.1661762237135349,-0.16308901475649407,-0.16028716310468383,-0.15758548639804815,-0.15540528937695797},
+{-0.9869406031574215,-0.5382426733442855,-0.3874062971196395,-0.31928471538365955,-0.27957849521942535,-0.2559365066086201,-0.23662278339097043,-0.2223313542258296,-0.21111403874829193,-0.2020074146236226,-0.19443206087461817,-0.18801517765174935,-0.18248090201068123,-0.1776517427796307,-0.17338760873499837,-0.16959303238671453,-0.16618889586237628,-0.1631020859560124,-0.16030057534850073,-0.1575992721319608,-0.15541921236021494},
+{-0.9866383084819219,-0.5381145100700309,-0.3873497702139588,-0.31925604178387346,-0.27956381767558014,-0.25593032015797235,-0.2366206268725648,-0.22233308731108536,-0.21111851083902877,-0.2020139610358882,-0.19444017924982404,-0.1880244969953253,-0.1824911995251739,-0.17766283392603555,-0.17339936089821606,-0.16960533922913612,-0.166201668947636,-0.16311525711473962,-0.16031408649539003,-0.15761315476994753,-0.15543323219156946},
+{-0.9863361115473381,-0.5379865167300579,-0.38729339282097897,-0.319227504907559,-0.2795492689847521,-0.2559242456996884,-0.23661859001845187,-0.2223349367075116,-0.21112309648962935,-0.20202061918170955,-0.1944484073719508,-0.1880339240436797,-0.18250160330597964,-0.17767402984436842,-0.17341121665607773,-0.16961774848419964,-0.16621454325800755,-0.16312852850467152,-0.16032769682047388,-0.15762713459085376,-0.15544734913251546},
+{-0.9860340128123255,-0.537858693631776,-0.3872371652581421,-0.31919910507730265,-0.27953484946847595,-0.2559182836363618,-0.2366166731497117,-0.22233690272085482,-0.21112779601025977,-0.20202738936289677,-0.19445674553675474,-0.18804345910652387,-0.18251211364083986,-0.17768533082650606,-0.17342317630091486,-0.16963026042942886,-0.16622751907601696,-0.16314190040894516,-0.1603414065993718,-0.15764121186852265,-0.15546156344716167},
+{-0.985732012735248,-0.5377310410827505,-0.38718108784046024,-0.3191708426129196,-0.2795205594502619,-0.25591243434514865,-0.23661487659242653,-0.22233898565862376,-0.21113260971149828,-0.20203427188239687,-0.1944651940385569,-0.1880531024850569,-0.18252273081789383,-0.17769673715783085,-0.1734352401173993,-0.16964287535566314,-0.1662405966843039,-0.16315537310880757,-0.16035521610471903,-0.15765538688616232,-0.15547587539046503},
+{-0.9854301117743987,-0.5376035593934745,-0.387125160887166,-0.319142717847825,-0.2795063992479925,-0.2559066982319109,-0.2366132006661985,-0.22234118582674967,-0.21113753790636736,-0.2020412670524081,-0.19447375317537308,-0.18806285448201265,-0.18253345512800934,-0.17770824914217087,-0.17344740839615724,-0.16965559354241577,-0.16625377637609517,-0.1631689468856905,-0.16036912561858685,-0.15766965992429505,-0.15549028522951858},
+{-0.9851283103897472,-0.5374762488736877,-0.3870693847182167,-0.3191147311018483,-0.27949236919097586,-0.25590107568471865,-0.23661164569497828,-0.22234350353744503,-0.21114258091104432,-0.20204837518235763,-0.19448242324651233,-0.1880727154068893,-0.1825442868622389,-0.1777198670681912,-0.17345968143355606,-0.169668415282473,-0.166267058432652,-0.16318262202231892,-0.16038313541321259,-0.15768403126310204,-0.1555047932253899},
+{-0.984826609040617,-0.5373491098364411,-0.38701375965341356,-0.31908688271020935,-0.27947846960348954,-0.2558955670924945,-0.23661021200372545,-0.22234593910395972,-0.21114773904157857,-0.20205559658106154,-0.1944912045508005,-0.18808268556900032,-0.18255522631793042,-0.17773159124180893,-0.17347205951777767,-0.1696813408602793,-0.16628044315258705,-0.16319639880428838,-0.16039724577436232,-0.15769850119104944,-0.1555193996398998},
+{-0.9845250081876742,-0.5372221425914461,-0.3869582860116765,-0.31905917299559405,-0.27946470080661356,-0.25589017285787463,-0.23660889991488432,-0.22234849283252345,-0.21115301260697095,-0.2020629315578475,-0.19450009738648077,-0.18809276527143481,-0.18256627378318058,-0.1777434219519307,-0.1734845429418499,-0.16969437056040704,-0.16629393081902322,-0.16321027750913686,-0.16041145697164438,-0.15771306998425416,-0.15553410472782048},
+{-0.9842235082907891,-0.537095347454283,-0.3869029641184625,-0.31903160228887373,-0.2794510631312761,-0.2558848933599478,-0.2366077097573509,-0.2223511650357466,-0.21115840193492375,-0.2020703804228532,-0.19450910205071636,-0.18810295482494155,-0.18257742955084666,-0.17775535950096355,-0.1734971319970242,-0.1697075046728571,-0.16630752172439145,-0.16322425842355415,-0.16042576928768426,-0.15772773792897965,-0.1555489087580213},
+{-0.9839221098120206,-0.536968724737747,-0.38684779429621585,-0.31900417092320765,-0.2794375569010157,-0.2558797290080719,-0.23660664185452163,-0.22235395603030383,-0.21116390734219692,-0.20207794349029484,-0.19451821884827325,-0.18811325453933136,-0.18258869391769394,-0.17776740418835857,-0.1735098269846418,-0.1697207434882415,-0.16632121616297013,-0.16323834182966834,-0.1604401830067843,-0.15774250531305256,-0.15556381199019143},
+{-0.9836208132116937,-0.536842274757575,-0.3867927768692141,-0.3189768792283445,-0.2794241824499295,-0.25587468019639914,-0.2366056965334593,-0.22235686613019823,-0.2111695291457778,-0.20208562107256967,-0.19452744807766464,-0.18812366472958786,-0.1826000671781003,-0.1777795563133111,-0.17352262819787256,-0.16973408729589323,-0.16633501442917975,-0.1632525280170114,-0.16045469840713622,-0.15775737242347532,-0.15557881468598111},
+{-0.9833196189525637,-0.5367159978301856,-0.38673791216392317,-0.3189497275431137,-0.27941094010662937,-0.2558697473090632,-0.23660487412251996,-0.22235989565156444,-0.2111752676748324,-0.20209341348777343,-0.19453679003937907,-0.18813418570383078,-0.1826115496346432,-0.1777918161819514,-0.17353553593211757,-0.16974753638758955,-0.16634891682068087,-0.16326681727272785,-0.16046931577383816,-0.15777233954656822,-0.15559391710991122},
+{-0.983018527497471,-0.5365898942724101,-0.38668320050575744,-0.31892271619661017,-0.27939783019903075,-0.25586493075869043,-0.23660417494579633,-0.22236304491043768,-0.21118112324748495,-0.20210132104530487,-0.19454624503573825,-0.18814481777441472,-0.18262314157750836,-0.1778041840982496,-0.17354855048604634,-0.1697610910490539,-0.1663629236283839,-0.16328120987867578,-0.16048403539105038,-0.15778740696879368,-0.15560911952715628},
+{-0.9827175393078562,-0.5364639644031968,-0.3866286422248493,-0.3188958455270523,-0.2793848530630214,-0.2558602309272118,-0.2366035993390625,-0.22236631422505582,-0.21118709619328513,-0.20210934406810566,-0.19455581336953287,-0.1881555612621213,-0.18263484331211544,-0.17781666036262322,-0.17356167216202323,-0.1697747515807464,-0.1663770351504752,-0.16329570612697353,-0.16049885753369608,-0.15780257498559536,-0.15562442220249295},
+{-0.9824166548483859,-0.5363382085406272,-0.38657423764794885,-0.3188691158732979,-0.27937200902812265,-0.2558556482246104,-0.23660314762503276,-0.22236970391971056,-0.21119318683626886,-0.20211748286861564,-0.19456549534400835,-0.18816641646799326,-0.18264665513422074,-0.17782924528040667,-0.17357490125388608,-0.16978851826621622,-0.166391251688367,-0.163310306300815,-0.1605137824965368,-0.15781784388119036,-0.1556398254033411},
+{-0.9821158745821634,-0.5362126270053125,-0.38651998710609803,-0.3188425275678384,-0.2793592984327091,-0.2558511830473549,-0.23660282013484846,-0.22237321430817758,-0.21119939550564482,-0.20212573776483111,-0.19457529125729423,-0.18817738371937764,-0.18265857734913027,-0.17784193915876756,-0.173588238066813,-0.1698023914144926,-0.16640557353656504,-0.16332501069115324,-0.16052881056481283,-0.1578332139521592,-0.15565532939277205},
+{-0.9818151989744521,-0.5360872201190432,-0.3864658909306655,-0.31881608095558533,-0.27934672160921536,-0.2558468357833732,-0.23660261719558662,-0.2223768457192108,-0.21120572253128955,-0.2021341090779032,-0.19458520141671443,-0.18818846333024908,-0.18267061025184717,-0.17785474230761622,-0.17360168290380784,-0.1698163713049894,-0.16642000099446363,-0.16333981959058974,-0.160543942019018,-0.15784868548939812,-0.15567093444562374},
+{-0.9815146284890517,-0.5359619882027715,-0.38641194945263635,-0.3187897763752403,-0.2793342788935149,-0.25584260684786386,-0.23660253914420082,-0.22238059847336444,-0.21121216824255384,-0.2021425971292672,-0.19459522612822866,-0.18819965561338847,-0.18268275415816504,-0.17786765503609558,-0.17361523606439278,-0.16983045824306942,-0.16643453436586242,-0.1633547332854164,-0.16055917715505075,-0.15786425878485488,-0.15568664083113504},
+{-0.9812141635924263,-0.5358369315797376,-0.386358163008083,-0.31876361416806276,-0.27932197062423825,-0.25583849662528735,-0.23660258631004183,-0.2223844728942055,-0.21121873297560967,-0.2021512022363794,-0.19460536569626186,-0.18821096089257594,-0.18269500936129646,-0.17788067765133064,-0.17362889785928814,-0.1698446525255406,-0.16644917394850722,-0.16336975206937154,-0.16057451625763974,-0.15787993413238155,-0.15570244882221118},
+{-0.9809138047497612,-0.5357120505748867,-0.3863045319287153,-0.3187375946778701,-0.27930979714047055,-0.25583450553159537,-0.23660275902329886,-0.22238846931252,-0.21122541705847198,-0.2021599247206467,-0.19461562042449998,-0.1882223794800666,-0.1827073761714928,-0.17789381046409858,-0.17364266859041777,-0.16985895444429389,-0.16646392004852828,-0.16338487623664832,-0.16058995961526534,-0.15789571182995132,-0.15571835868789208},
+{-0.9806135524272364,-0.5355873455122122,-0.386251056550762,-0.3187117182456376,-0.2792977587790517,-0.2558306339606844,-0.23660305761639222,-0.22239258804975748,-0.21123222083043913,-0.20216876490891877,-0.1946259906179506,-0.18823391169939896,-0.182719854893449,-0.1779070537876919,-0.17365654856297397,-0.16987336430696587,-0.16647877296151137,-0.16340010607595445,-0.16060550752271752,-0.1579115921752816,-0.15573437070133878},
+{-0.9803134070916073,-0.5354628167196438,-0.3861977372110914,-0.31868598521947433,-0.2792858558839981,-0.25582688231133943,-0.23660348242292173,-0.22239682943974515,-0.21123914462690152,-0.2021777231210109,-0.19463647658713512,-0.18824555786946462,-0.182732445836578,-0.17792040793119668,-0.173670538086526,-0.1698878824079486,-0.16649373299495096,-0.16341544188318835,-0.16062116026878925,-0.1579275754635603,-0.15575048514256196},
+{-0.9800133692107238,-0.5353384645216295,-0.386144574247993,-0.3186603959459404,-0.27927408879421023,-0.2558232509961016,-0.23660403377814987,-0.22240119381103796,-0.21124618878984336,-0.2021867996834743,-0.19464707863828323,-0.1882573183120826,-0.18274514931415808,-0.17793387321341925,-0.17368463747095575,-0.16990250905107018,-0.16650880045401095,-0.16343088395530003,-0.16063691814989056,-0.15794366198841203,-0.15576670228261946},
+{-0.9797134392516114,-0.5352142892488558,-0.386091568000964,-0.3186349507699475,-0.27926245785387493,-0.2558197404075315,-0.23660471201615962,-0.2224056814958999,-0.2112533536531771,-0.202195994924935,-0.1946577970783494,-0.18826919335124614,-0.18275796562794255,-0.1779474499434741,-0.1736988470221945,-0.16991724454115342,-0.16652397563930776,-0.16344643258827318,-0.16065278145632078,-0.15795985205309648,-0.1557830224018062},
+{-0.9794136176831216,-0.5350902912280162,-0.3860387188068728,-0.31860965004302955,-0.27925096340480593,-0.25581635095595345,-0.23660551747063607,-0.22241029282692182,-0.21126063955860275,-0.20220530916354562,-0.1946686322203135,-0.18828118330101518,-0.1827708950939666,-0.17796113844440242,-0.17371316705194317,-0.16993208917466518,-0.16653925885765375,-0.1634620880741977,-0.16066875048755946,-0.15797614595766163,-0.15579944577461902},
+{-0.9791139049743478,-0.5349664707922415,-0.385986027011171,-0.3185844941114624,-0.27923960579526863,-0.2558130830502705,-0.2366064504769554,-0.2224150281415973,-0.21126804685182776,-0.20221474273381546,-0.1946795843666962,-0.1882932884948616,-0.1827839380270575,-0.17797493902511974,-0.17372759787741643,-0.16994704326398846,-0.16655465041594653,-0.16347785071698695,-0.16068482553700392,-0.15799254400502605,-0.15581597267583902},
+{-0.9788143015941344,-0.5348428282711666,-0.3859334929522049,-0.31855948333158324,-0.27922838536959205,-0.25580993708308597,-0.23660751137329328,-0.22241988777292931,-0.21127557587354318,-0.20222429596518054,-0.1946906538344848,-0.1883055092483943,-0.18279709473657135,-0.17798885200505765,-0.1737421397997707,-0.16996210711684512,-0.1665701506186963,-0.16349372080756552,-0.16070100689924516,-0.15800904649395875,-0.15583260339241178},
+{-0.9785148080125836,-0.5347193639963876,-0.38588111697724514,-0.3185346180525528,-0.27921730247403787,-0.2558069134788923,-0.23660870049400273,-0.22242487206221995,-0.21128322697195756,-0.2022339691839221,-0.19470184093579235,-0.18831784589193035,-0.18281036553983654,-0.17800287770870682,-0.17375679314187664,-0.16997728103268628,-0.16658575977473333,-0.16350969865268894,-0.16071729488140818,-0.15802565372902677,-0.15584933819445723},
+{-0.9782154246999184,-0.5345960783023571,-0.38582889942766485,-0.31850989862512336,-0.2792063574564736,-0.25580401262206465,-0.2366100181805706,-0.22242998134477432,-0.21129100049054728,-0.20224376271919198,-0.1947131459815381,-0.18833029875059992,-0.1828237507490087,-0.17801701644611967,-0.17377155821523615,-0.1699925653281582,-0.16660147818606674,-0.16352578454805666,-0.16073368977055225,-0.1580423660115855,-0.1558661773644019},
+{-0.9779161521271647,-0.534472971521879,-0.3857768406509763,-0.31848532540969643,-0.2791955506654631,-0.25580123493844553,-0.2366114647666535,-0.222435215963543,-0.2112988967771514,-0.20225367690444784,-0.1947245692826698,-0.18834286814779944,-0.1828372506848268,-0.17803126854241214,-0.17378643533578497,-0.17000796030924903,-0.16661730616920067,-0.1635419787967578,-0.16075019187829298,-0.15805918364992522,-0.15588312118174485},
+{-0.9776169907656538,-0.5343500439914095,-0.38572494099281585,-0.31846089875550376,-0.2791848824570309,-0.25579858083101215,-0.2366130405944915,-0.22244057626005542,-0.2113069161859613,-0.20226371207188265,-0.19473611115424205,-0.18835555441441443,-0.1828508656641077,-0.17804563431428733,-0.17380142481854932,-0.17002346628964915,-0.16663324402787794,-0.16355828170014775,-0.16076680149495814,-0.1580761069444634,-0.1559001699259568},
+{-0.9773179410872572,-0.5342272960459837,-0.3856732007999426,-0.3184366190272243,-0.27917435317543493,-0.25579605070046796,-0.2366147459996455,-0.2224460625788396,-0.21131505905789538,-0.20227386855253826,-0.19474777191145165,-0.18836835787192285,-0.18286459600489025,-0.17806011408757172,-0.17381652697633854,-0.17003908358000785,-0.16664929206731927,-0.16357469356023557,-0.16078351892983278,-0.15809313621008414,-0.1559173238786684},
+{-0.9770190035655446,-0.5341047280243743,-0.3856216204245868,-0.31841248657920573,-0.2791639631761029,-0.2557936449737497,-0.23661658132671448,-0.22245167526334342,-0.21132332575211876,-0.20228414668784467,-0.19475955187576233,-0.18838127885615563,-0.18287844203379677,-0.17807470818553384,-0.17383174213199482,-0.17005481249532295,-0.16666545060826365,-0.16359121467863247,-0.1608003444888766,-0.15811027175320191,-0.15593458331866827},
+{-0.9767201786720747,-0.5339823402660073,-0.38557020021578126,-0.3183885017684105,-0.2791537128142636,-0.2557913640392826,-0.23661854691701478,-0.22245741466188917,-0.21133171662067696,-0.2022945468061721,-0.19477145136002605,-0.1883943176931382,-0.1828924040601123,-0.17808941692760527,-0.17384707060170967,-0.17007065335661764,-0.16668171995462444,-0.16360784536306028,-0.16081727846571425,-0.15812751387619528,-0.15595194852866712},
+{-0.9764214668820586,-0.5338601331086466,-0.38551894052544355,-0.3183646649587786,-0.27914360244206193,-0.25578920832914775,-0.23662064310788367,-0.2224632811213354,-0.21134023201626917,-0.20230506924507097,-0.19478347068465496,-0.18840747471122654,-0.1829064824190425,-0.17810424064225572,-0.17386251270499997,-0.17008660647391594,-0.16669810042014888,-0.16362458592098506,-0.1608343211788963,-0.15814486289804108,-0.15596941979489998},
+{-0.9761228686680212,-0.5337381068918461,-0.3854678417032744,-0.3183409765124594,-0.2791336324180236,-0.2557871782446739,-0.23662287024588124,-0.22246927499209335,-0.2113488722947352,-0.20231571434698026,-0.19479561016780167,-0.18842075024548421,-0.18292067742336826,-0.17811917965167368,-0.17387806875899514,-0.17010267216898,-0.1667145923133262,-0.16364143665398956,-0.16085147292309898,-0.1581623191304402,-0.15598699739373956},
+{-0.9758243845064598,-0.5336162619598497,-0.38541690410707474,-0.31831743679234137,-0.27912380309760465,-0.25578527419501995,-0.23662522867108748,-0.22247539662248528,-0.21135763781531125,-0.20232648244414975,-0.19480787012884093,-0.18843414462500618,-0.18293498940909103,-0.1781342342827088,-0.173893739088129,-0.1701188507614404,-0.16673119595560593,-0.16365839787320624,-0.16086873400971058,-0.15817988288048923,-0.1560046816164231},
+{-0.9755260148710789,-0.5334945986531352,-0.3853661280886058,-0.31829404616134127,-0.27911411483795234,-0.25578349660545996,-0.23662771872578503,-0.22248164636565093,-0.21136652893007124,-0.20233737387997053,-0.19482025089519084,-0.18844765817914322,-0.1829494186913223,-0.17814940486380237,-0.17390952400808146,-0.17013514257038764,-0.16674791164791714,-0.1636754698760683,-0.1608861047487551,-0.1581975544591785,-0.15602247273892544},
+{-0.9752277602380914,-0.5333731173166427,-0.3853155140054412,-0.3182708049861418,-0.2791045679990418,-0.2557818458735568,-0.23663034076382417,-0.22248802457430372,-0.21137554600227304,-0.20234838899452257,-0.19483275278520296,-0.18846129124437994,-0.18296396560199923,-0.17816469171725657,-0.1739254238462138,-0.17015154792287035,-0.1667647397073324,-0.1636926529854179,-0.160903585443549,-0.15821533419097022,-0.1560403710589071},
+{-0.9749296210844491,-0.5332518182940476,-0.3852650622137901,-0.3182477136337809,-0.2790951629419567,-0.2557803224293167,-0.23663309511651676,-0.22249453160361554,-0.21138468938868016,-0.2023595281287669,-0.19484537612635222,-0.1884750441514882,-0.18297863046797147,-0.17818009517654332,-0.17394143891633007,-0.17016806713709798,-0.1667816804554434,-0.1637099475019852,-0.16092117641176173,-0.1582332223905496,-0.15605837685737356},
+{-0.9746315978863223,-0.5331307019317535,-0.3852147730730735,-0.31822477246879544,-0.27908590002842004,-0.2557789266826944,-0.23663598214305637,-0.22250116780533347,-0.21139395945513684,-0.20237079162694727,-0.19485812123494384,-0.1884889172385158,-0.182993413621233,-0.17819561556979124,-0.17395756954996955,-0.17018470054424029,-0.1667987342029562,-0.16372735374008585,-0.16093887795781825,-0.15825121936958908,-0.15607649042161142},
+{-0.9743336911229719,-0.5330097685780686,-0.385164646941206,-0.31820198186581194,-0.2790767796188618,-0.25577765904436944,-0.23663900217829337,-0.2225079335413369,-0.21140335656185982,-0.20238217983109053,-0.19487098845164041,-0.18850291083359139,-0.18300831538920193,-0.1782112532248732,-0.1739738160653701,-0.17020144846503626,-0.16681590126614765,-0.16374487201341026,-0.16095669040055327,-0.15826932545576256,-0.15609471204896863},
+{-0.9740359012699997,-0.5328890185778192,-0.385114684180337,-0.31817934219074573,-0.27906780207911197,-0.2557765199427422,-0.23664215557818125,-0.22251482916638565,-0.2114128810669058,-0.20239369308870891,-0.19488397809521985,-0.18851702528087344,-0.18302333610478172,-0.1782270084775348,-0.1739901787913709,-0.17021831122619346,-0.16683318196055552,-0.1637625026281171,-0.16097461404856972,-0.15828754096236253,-0.15611304202178644},
+{-0.9737382288077185,-0.5327684522818004,-0.3850648851529428,-0.3181568538165038,-0.27905896777102157,-0.2557755097810457,-0.23664544269246335,-0.222521855039858,-0.2114225333418034,-0.20240533174441566,-0.19489709049756243,-0.1885312609090306,-0.18303847610016533,-0.17824288165303415,-0.17400665804777304,-0.17023528916166697,-0.16685057660643565,-0.16378024590366635,-0.16099264921197687,-0.15830586621726184,-0.15613148064235816},
+{-0.9734406742153041,-0.5326480700408638,-0.38501525021945326,-0.3181345171181391,-0.2790502770624812,-0.2557746289910625,-0.23664886386332284,-0.22252901151979643,-0.21143231374628613,-0.20241709614268188,-0.19491032599245273,-0.18854561805633807,-0.18305373570962047,-0.1782588730886232,-0.17402325416301778,-0.17025238260094966,-0.16686808552051957,-0.16379810215400425,-0.1610107962107179,-0.1583243015444964,-0.15615002819700408},
+{-0.9731432379722591,-0.5325278722042412,-0.3849657797468353,-0.3181123324657449,-0.2790417303215946,-0.2557738779871812,-0.23665241944596005,-0.22253629896744087,-0.2114422226489694,-0.20242898663877895,-0.19492368490435297,-0.18856009706180998,-0.18306911526727276,-0.17827498311629597,-0.17403996746077155,-0.1702695918715733,-0.1668857090178335,-0.1638160716949244,-0.16102905536493495,-0.15834284726420833,-0.15616868497380665},
+{-0.972845920559088,-0.5324078591264794,-0.38491647410006635,-0.31809030023889306,-0.27903332791674984,-0.25577325718332133,-0.23665610978622453,-0.22254371774663184,-0.2114522604133242,-0.2024410035774622,-0.19493716757440893,-0.18857469826457418,-0.18308461510972052,-0.17829121206881382,-0.174056798272602,-0.17028691730439505,-0.16690344742806928,-0.16383415484361308,-0.16104742698334462,-0.15836150370870428,-0.15618745127881084},
+{-0.9725487224574749,-0.5322880311593821,-0.3848673336445927,-0.3180684208115423,-0.27902507021320844,-0.25577276701304186,-0.2366599352433667,-0.22255126821845295,-0.2114624274099981,-0.2024531473115303,-0.19495077433597885,-0.18858942200208162,-0.18310023557666,-0.17830756028496353,-0.1740737469245346,-0.17030435923555842,-0.16692130106511627,-0.1638523519202124,-0.16106591139114812,-0.15838027119997378,-0.15620632740228757},
+{-0.9722516441484004,-0.5321683886575528,-0.384818358749655,-0.3180466945615734,-0.2790169575863928,-0.2557724078841517,-0.23666389616799677,-0.22255895074536625,-0.21147272401043438,-0.2024654181945209,-0.19496450552034617,-0.1886042686168139,-0.18311597700355264,-0.17832402810088865,-0.1740908137463748,-0.17032191799970064,-0.16693927025298194,-0.16387066324003285,-0.1610845089010411,-0.1583991500658044,-0.15622531364311953},
+{-0.9719546861134774,-0.5320489319763197,-0.38476954978149536,-0.3180251218692547,-0.2790089904023745,-0.25577218022939974,-0.23666799291031282,-0.222566765692207,-0.21148315057737932,-0.2024778165766179,-0.19497836147166936,-0.18861923844178818,-0.1831318397312316,-0.1783406158514822,-0.17410799906409125,-0.17033959392284714,-0.16695735531394007,-0.16388908912858824,-0.16110321983967424,-0.15841814064023652,-0.15624441029822833},
+{-0.9716578488366636,-0.5319296614729865,-0.38472090711732676,-0.31800370311103165,-0.2790011690422318,-0.25577208447025157,-0.23667222583047476,-0.22257471342595636,-0.21149370748543106,-0.20249034281283684,-0.19499234252509723,-0.18863433182551148,-0.18314782410445218,-0.1783573238760141,-0.1741253032128327,-0.17035738735049222,-0.16697555657080443,-0.16390762990459962,-0.16112204452414858,-0.15843724324514596,-0.15626361765797014},
+{-0.9713611328015404,-0.5318105775057802,-0.3846724311204497,-0.3179824386739085,-0.27899349387179484,-0.25577212102210467,-0.23667659527940543,-0.22258279430973005,-0.21150439510566343,-0.2025029972611776,-0.195006449025243,-0.18864954910495157,-0.18316393046288226,-0.1783741525113669,-0.1741427265176867,-0.17037529861929102,-0.16699387434911728,-0.16392628588658908,-0.16114098327784632,-0.1584564582179553,-0.15628293603668908},
+{-0.9710645384914898,-0.5316916804340508,-0.38462412216925657,-0.31796132893971674,-0.27898596527153074,-0.25577229032501236,-0.2366811016126178,-0.2225910087140619,-0.21151521380582494,-0.20251578028006634,-0.19502068131367878,-0.18866489062705227,-0.183180159151334,-0.17839110210550757,-0.17416026932301065,-0.17039332805131835,-0.1670123089739377,-0.16394505740672116,-0.16116003642670762,-0.15847578588542888,-0.15630236571769274},
+{-0.9707680663916989,-0.5315729706155707,-0.3845759806354039,-0.31794037428633715,-0.2789785836132239,-0.2557725927830319,-0.236685745194805,-0.22259935699810285,-0.21152616396025792,-0.20252869221965852,-0.19503503973336933,-0.18868035673540362,-0.1831965105096458,-0.17840817298932166,-0.1741779319517036,-0.17041147600221507,-0.16703086077151852,-0.16396394478155685,-0.1611792042886293,-0.15849522657197213,-0.15632190701285253},
+{-0.9704717169869923,-0.5314544484126316,-0.38452800689385924,-0.3179195751061883,-0.27897134927533784,-0.25577302884460096,-0.2366905263797605,-0.22260783953723262,-0.21153724594248047,-0.20254173344650894,-0.19504952463023528,-0.18869594776742815,-0.18321298489047422,-0.1784253655130783,-0.17419571474133022,-0.1704297428011614,-0.16704953007103995,-0.16398294834164062,-0.16119848719810648,-0.15851478061472335,-0.15634156022400703},
+{-0.9701754907636797,-0.5313361141866579,-0.3844802013222477,-0.31789893177956685,-0.2789642626413098,-0.2557735989248471,-0.2366954455269905,-0.2226164566959028,-0.21154846012606754,-0.20255490431927115,-0.19506413634701403,-0.18871166407856776,-0.18322958263863143,-0.17844268001496744,-0.1742136180289151,-0.17044812878799576,-0.16706831719895376,-0.1640020684153285,-0.16121788547386018,-0.15853444834422703,-0.15636132564458194},
+{-0.9698793882093923,-0.5312179683024851,-0.3844325642994306,-0.31787844470241566,-0.27895732408708795,-0.25577430345042274,-0.23670050300016499,-0.22262520884734727,-0.21155980688641307,-0.20256820519895768,-0.19507887524014222,-0.18872750600723975,-0.18324630410302234,-0.17846011684505925,-0.17423164214829967,-0.17046663430397757,-0.16708722248520758,-0.1640213053275943,-0.16123739944598015,-0.158554230090175,-0.1563812035990395},
+{-0.9695834098098146,-0.5311000111243942,-0.38438509620193884,-0.31785811425653776,-0.27895053399080894,-0.25577514286072756,-0.23670569915739748,-0.22263409635746712,-0.21157128659638147,-0.20258163644777483,-0.19509374165531312,-0.1887434739035143,-0.18326314963775303,-0.1784776763460627,-0.17424978744014652,-0.17048525968885997,-0.16710624625741843,-0.16404065940332657,-0.16125702944606246,-0.1585741261804401,-0.15640119437566113},
+{-0.9692875560518246,-0.5309822430170783,-0.38433779741050955,-0.31783794083249006,-0.2789438927386385,-0.25577611756644103,-0.2367110343651717,-0.22264311959412453,-0.2115828996290645,-0.20259519842576879,-0.1951087359450696,-0.1887595681129426,-0.18328011958553247,-0.17849535886182366,-0.17426805423960445,-0.1705040052824245,-0.1671253888474098,-0.16406013097883942,-0.1612767757953577,-0.15859413694550994,-0.15642129829510054},
+{-0.9689918274277147,-0.5308646643488686,-0.38429066830859426,-0.31781792482455273,-0.27893740071245077,-0.25577722801776304,-0.23671650898506869,-0.22265227893259976,-0.21159464636511416,-0.2026088915021944,-0.19512385846496727,-0.18877578898647585,-0.18329721430481527,-0.1785131647460787,-0.1742864428915425,-0.17052287142522005,-0.16714465058680616,-0.1640797203824036,-0.16129663883160106,-0.1586142627253082,-0.15644151566806386},
+{-0.9686962244224873,-0.5307472754849272,-0.38424370927754126,-0.3177980666222595,-0.2789310582989941,-0.25577847463675596,-0.23672212338348686,-0.22266157474297188,-0.21160652717713901,-0.20262271603911586,-0.19513910956641212,-0.1887921368770833,-0.18331443415078752,-0.17853109434526004,-0.17430495373466215,-0.17054185846703263,-0.1671640318087384,-0.1640994279490826,-0.16131661888405802,-0.15863450384131283,-0.15646184680710462},
+{-0.9684007475292731,-0.5306300767979764,-0.38419692070237943,-0.31777836662395487,-0.27892486588199006,-0.2557798578530708,-0.23672787792705208,-0.2226710073986169,-0.21161854244866163,-0.20263667240706695,-0.195154489609223,-0.1888086121296908,-0.18333177947855006,-0.17854914801034738,-0.17432358711434404,-0.17056096674392052,-0.16718353284855425,-0.16411925400890937,-0.16133671628574575,-0.1586548606333622,-0.15648229202713537},
+{-0.9681053972362292,-0.5305130686557078,-0.38415030296680186,-0.3177588252219721,-0.27891882384838595,-0.2557813781101288,-0.23673377297944853,-0.22268057726705592,-0.21163069254853895,-0.20265076096859502,-0.1951699989489839,-0.18882521509786443,-0.18334925063768992,-0.17856732609325832,-0.1743423433699718,-0.1705801965985927,-0.1672031540349792,-0.16413919889399153,-0.1613569313679193,-0.15867533342392903,-0.1565028516465361},
+{-0.9678101740347387,-0.5303962514304601,-0.38410385645974543,-0.317739442812794,-0.27891293258460337,-0.2557830358220343,-0.23673980891595647,-0.22269028472356922,-0.21164297786083353,-0.20266498209315387,-0.1951856379478727,-0.18884194613428917,-0.18336684799552927,-0.17858562894707575,-0.1743612228512461,-0.17059954838373415,-0.16722289570628845,-0.16415926294368433,-0.16137726446572742,-0.15869592254523468,-0.15652352599883557},
+{-0.9675150784179039,-0.530279625493435,-0.38405758156636693,-0.3177202197952198,-0.2789071924834161,-0.2557848314443305,-0.23674598609952113,-0.22270013014176016,-0.2116553987623604,-0.20267933615150469,-0.19520140697031252,-0.18885880559111,-0.1833845719040994,-0.17860405692417203,-0.17438022589982438,-0.1706190224312536,-0.16724275819572654,-0.16417944649259653,-0.16139771591181784,-0.15871662833768596,-0.1565443153982642},
+{-0.9672201108771645,-0.5301631912194154,-0.3840114786803923,-0.31770115656334497,-0.2789016039342016,-0.2557867654008703,-0.23675230490499644,-0.22271011389429418,-0.21166795562908192,-0.20269382351386867,-0.19521730637157475,-0.1888757938250194,-0.18340242272816454,-0.17862261038428073,-0.17439935286921582,-0.17063861910233413,-0.1672627418450361,-0.16419974987803698,-0.16141828604671105,-0.15873745112295978,-0.15656522017735597},
+{-0.9669252719063053,-0.530046948984932,-0.38396554818787365,-0.31768225352459467,-0.2788961673295205,-0.255788838129817,-0.23675876569947718,-0.22272023635682103,-0.21168064884776072,-0.2027084445460332,-0.19523333652122687,-0.18889291119256768,-0.18342040082768563,-0.17864128967849524,-0.17441860410443155,-0.17065833873033398,-0.16728284698848483,-0.1642201734421178,-0.16143897520140627,-0.15875839123975766,-0.1565862406746703},
+{-0.9666305619977464,-0.5299308991633751,-0.38391979048286373,-0.317663511076816,-0.2788908830628003,-0.25579105007399505,-0.23676536886105737,-0.2227304979042799,-0.21169347879114753,-0.202723199626746,-0.1952494977853121,-0.18891015804840094,-0.18343850656648897,-0.1786600951704429,-0.17443797996284616,-0.17067818166665916,-0.1673030739681849,-0.16424071751725933,-0.16145978371895353,-0.1587794490161798,-0.15660737722237172},
+{-0.9663359816472479,-0.5298150421333361,-0.3838742059595859,-0.31764492962396673,-0.2788857515238732,-0.2557934016553105,-0.2367721147627151,-0.22274089891001836,-0.2117064458441007,-0.20273808911886704,-0.19526579053177784,-0.1889275347461421,-0.18345674030757664,-0.1786790272120129,-0.17445748079128975,-0.17069814825978824,-0.167323423121843,-0.16426138244960953,-0.16148071193185842,-0.15880062478535706,-0.15662863016248707},
+{-0.9660415313499726,-0.52969937827352,-0.3838287950105581,-0.31762650956852667,-0.2788807731143379,-0.2557958933316513,-0.2367790037785369,-0.2227514397501409,-0.21171955038812484,-0.20275311340188296,-0.19528221513260746,-0.1889450416479974,-0.1834751024185266,-0.17869808616649152,-0.174477106945659,-0.17071823885916615,-0.167343894794584,-0.1642821685800584,-0.16150176018237516,-0.1588219188797666,-0.15664999984244332},
+{-0.9657472116009842,-0.5295839079620208,-0.38378355803223485,-0.31760825131674153,-0.27887594822789197,-0.2557985255349422,-0.23678603628187034,-0.22276212080114988,-0.21173279279869917,-0.20276827284624233,-0.19529877194941037,-0.18896267911051723,-0.1834935932620283,-0.17871727239767665,-0.17449685878037258,-0.1707384538099177,-0.16736448932115877,-0.16430307624978013,-0.16152292880815367,-0.15884333163128872,-0.1566714865937513},
+{-0.9654530228962557,-0.5294686315817358,-0.3837384954232306,-0.31759015527545387,-0.2788712772648836,-0.2558012986989837,-0.23679321264921782,-0.22277294244017298,-0.2117461734635242,-0.20278356782597484,-0.19531546136502698,-0.1889804474968173,-0.18351221321205458,-0.1787365862589354,-0.17451673665397038,-0.17075879346458578,-0.16738520705337123,-0.16432410580608803,-0.16154421815224396,-0.15886486337905126,-0.1566930907820847},
+{-0.9651589657346165,-0.529353549513587,-0.3836936075808808,-0.31757222185193257,-0.27886676062144033,-0.25580421327910585,-0.23680053326825146,-0.2227839050462137,-0.21175969276214346,-0.20279899871971452,-0.1953322837510143,-0.18899834716677333,-0.1835309626338244,-0.17875602812006264,-0.1745367409294829,-0.1707792581705121,-0.16740604833145767,-0.16434525758805307,-0.1615656285559055,-0.15888651444828383,-0.1567148127548137},
+{-0.9648650406138444,-0.5292386621410117,-0.38364889490775056,-0.31755445145400074,-0.2788623987002694,-0.2558072697022169,-0.23680799851126721,-0.22279500899188065,-0.21177335107773843,-0.2028145658990752,-0.19534923947884408,-0.1890163784853769,-0.18354984189724632,-0.17877559834514045,-0.17455687195933933,-0.17079984828009742,-0.16742701350258926,-0.16436653194941186,-0.1615871603591188,-0.15890828517771638,-0.15673665287422978},
+{-0.9645712480306088,-0.529123969848655,-0.383604357799868,-0.3175368444954927,-0.27885819190284167,-0.25581046842336264,-0.23681560875812124,-0.22280625466095216,-0.21178714879255267,-0.20283026973737606,-0.19536632893098727,-0.1890345418098036,-0.18356885137731638,-0.1787952972981941,-0.174577130106627,-0.17082056414290037,-0.16744810291115186,-0.16438792923537449,-0.16160881390266013,-0.15893017590752834,-0.15675861149011894},
+{-0.9642775884864676,-0.5290094730224126,-0.3835599966661647,-0.31751940138360624,-0.27885414063284486,-0.2558138098831648,-0.23682336439296137,-0.2228176424326591,-0.2118010862936046,-0.20284611061345004,-0.19538355248275252,-0.18905283750680724,-0.18358799144203886,-0.1788151253433341,-0.17459751573770177,-0.170841406119024,-0.16746931690951783,-0.16440944979424899,-0.161630589535946,-0.1589521869705095,-0.1567806889671317},
+{-0.9639840624801792,-0.5288951720502126,-0.383515811907273,-0.3175021225370074,-0.27885024529635416,-0.25581729452238733,-0.23683126579740588,-0.2228291726857492,-0.21181516396353572,-0.20286208891033652,-0.1954009105179466,-0.18907126594186252,-0.18360726247121306,-0.17883508284452887,-0.17461802921735625,-0.17086237455652054,-0.1674906558461089,-0.16443109397241074,-0.16165248759776318,-0.15897431870652667,-0.15680288566525746},
+{-0.9636906705129178,-0.5287810673187465,-0.3834718039302487,-0.31748500836839355,-0.27884650629827945,-0.25582092279910285,-0.23683931335554576,-0.22284084580218178,-0.21182938218544223,-0.20287820500053044,-0.1954184034173636,-0.18908982748388325,-0.1836266648362539,-0.1788551701758081,-0.17463867090978624,-0.1708834698067676,-0.16751212006681726,-0.1644528621260406,-0.16167450843727238,-0.15899657145180868,-0.1568252019531542},
+{-0.9633974130860423,-0.5286671592184717,-0.3834279731387653,-0.3174680592880321,-0.27884292404228006,-0.25582469513483375,-0.23684750745181304,-0.22285266215862976,-0.21184374134216455,-0.20289445925817517,-0.1954360315632755,-0.18910852249837262,-0.18364619891090683,-0.17887538769912226,-0.17465944118669086,-0.17090469222802085,-0.16753370993035333,-0.1644747546039298,-0.1616966523918677,-0.15901894554417595,-0.15684763819376712},
+{-0.9631042907017076,-0.5285534481395615,-0.38338431994603184,-0.317451275720245,-0.27883949894005866,-0.25582861200481943,-0.23685584847282826,-0.22286462214327685,-0.21185824182617807,-0.20291085207253445,-0.19545379534710605,-0.189127351351857,-0.18366586507613647,-0.1788957357829304,-0.17468034041272062,-0.17092604217745588,-0.1675554257870715,-0.16449677176220234,-0.16171891982261855,-0.1590414413365977,-0.15687019476558817},
+{-0.9628113038628641,-0.5284399344737665,-0.3833408447582656,-0.3174346580749443,-0.2788362314018542,-0.2558326738437984,-0.23686433680356345,-0.22287672613430232,-0.2118728840202948,-0.2029273838184622,-0.19547169514376606,-0.18914631442035557,-0.18368566370801886,-0.17891621480251274,-0.17470136895917676,-0.1709475200127315,-0.16757726798547878,-0.16451891395396956,-0.16174131106185996,-0.15906405915862365,-0.15689287201590219},
+{-0.962518453075063,-0.5283266186164468,-0.38329754798708393,-0.3174182067793794,-0.27883312183526243,-0.25583688109466607,-0.23687297282964437,-0.22288897451647927,-0.21188766830482564,-0.20294405487365452,-0.19548973134558878,-0.1891654120625219,-0.18370559518285745,-0.17893682511822817,-0.17472252719275616,-0.17096912608283787,-0.16759923688374556,-0.1645411815288753,-0.16176382645656417,-0.15908679935986925,-0.15691567033184128},
+{-0.9622257388391944,-0.5282135009590547,-0.38325443004650595,-0.3174019222533815,-0.27883017065805404,-0.25584123422694915,-0.23688175694553593,-0.22290136768148727,-0.21190259507929454,-0.20296086563055837,-0.1955079043520982,-0.18918464466790397,-0.18372565988974543,-0.1789575671159298,-0.17474381550138673,-0.1709908607590762,-0.16762133284478864,-0.16456357485515127,-0.16178646637223437,-0.15910966229313317,-0.15693859008192135},
+{-0.9619331616614915,-0.5281005819004889,-0.38321149134910115,-0.3173858049146645,-0.278827378279189,-0.25584573366748486,-0.23689068954311665,-0.2229139060097225,-0.21191766472500717,-0.20297781646291924,-0.19552621454775476,-0.18920401260018593,-0.1837458582035083,-0.178978441159245,-0.17476523424926427,-0.17101272439663262,-0.16764355622109406,-0.16458609428042337,-0.16180923114359302,-0.15913264829836749,-0.1569616316460838},
+{-0.9616407220491681,-0.5279878618361664,-0.38316873231234183,-0.317369855192581,-0.2788247451164807,-0.2558503798925358,-0.23689977100772808,-0.22292658989030656,-0.21193287763171043,-0.20299490776338303,-0.19554466232435175,-0.18922351623578493,-0.18376619050903287,-0.17899944761995812,-0.1747867838103332,-0.17103471735731546,-0.16766590737321962,-0.16460874016999583,-0.1618321211306295,-0.15915575773189516,-0.15698479539000232},
+{-0.9613484205066385,-0.5278753411640338,-0.3831261533503749,-0.3173540735052711,-0.2788222715865203,-0.2558551733435195,-0.23690900173392038,-0.22293941970983155,-0.211948234191226,-0.20301213991069744,-0.1955632480787699,-0.1892431559546992,-0.18378665718853426,-0.17902058687377576,-0.1748084645691108,-0.1710568400021657,-0.16768838665856833,-0.1646315128832896,-0.161855136678156,-0.1591789909475665,-0.15700808168514868},
+{-0.9610562575439303,-0.5277630202854056,-0.38308375488401225,-0.31733846028625123,-0.2788199581094517,-0.25586011446648627,-0.23691838211553318,-0.22295239585946547,-0.21196373478977648,-0.20302951329770735,-0.1955819722033425,-0.1892629321323227,-0.18380725862905933,-0.17904185929373284,-0.1748302768951362,-0.1710790926953507,-0.1677109944434676,-0.16465441277512127,-0.1618782781408754,-0.1592023482850209,-0.1570314909174897},
+{-0.9607642336672484,-0.527650899601241,-0.3830415373298166,-0.3173230159568732,-0.2788178050970771,-0.25586520373485655,-0.23692791254191548,-0.22296551873006365,-0.2119793798180183,-0.20304702830719634,-0.19560083509921355,-0.18928284514211668,-0.18382799520642834,-0.1790632652549391,-0.17485222117409194,-0.17110147579774093,-0.16773373108441092,-0.16467744021056774,-0.1619015458692843,-0.15922583010004132,-0.1570550234518464},
+{-0.9604723493861513,-0.527538979513821,-0.38299950111269254,-0.317307740949218,-0.27881581297589264,-0.2558704415791908,-0.236937593417764,-0.2229787887103214,-0.2119951696698763,-0.203064685329025,-0.19561983716354803,-0.18930289537490808,-0.1838488673217853,-0.17908480513438008,-0.1748742977815425,-0.17112398967591957,-0.16775659694604883,-0.164700595555189,-0.16192494022121195,-0.15924943676205316,-0.15707867968646383},
+{-0.9601806052104109,-0.5274272604264922,-0.38295764665313925,-0.31729263569293664,-0.27881398216226216,-0.25587582847657586,-0.2369474251304382,-0.22299220619754578,-0.21201110473847962,-0.20308248475978985,-0.19563897879854153,-0.18932308320415814,-0.18386987534384502,-0.17910647930281698,-0.17489650709475768,-0.17114663469055813,-0.16777959239706774,-0.1647238791668144,-0.16194846154925813,-0.1592731686180855,-0.15710245998073447},
+{-0.9598890016497279,-0.5273157427447899,-0.38291597437599023,-0.31727770061772276,-0.27881231308739984,-0.25588136488124746,-0.23695740808338428,-0.2230057715840701,-0.2120271854156215,-0.20310042698511666,-0.1956582603993411,-0.1893434090184769,-0.18389101967653687,-0.1791282881476377,-0.1749188495053886,-0.17116941122350227,-0.16780271779606437,-0.16474729141506828,-0.16197211021008684,-0.1592970260250297,-0.15712636471906194},
+{-0.9595975392162615,-0.5272044268756559,-0.38287448470657637,-0.31726293616036116,-0.2788108061708954,-0.25588705124005173,-0.236967542668026,-0.22301948526796878,-0.21204341209497102,-0.20311851240268197,-0.19567768237578775,-0.18936387319877213,-0.18391230070008646,-0.17915023203741498,-0.17494132538828921,-0.1711923196249927,-0.16782597351760842,-0.16477083266480008,-0.161995886562039,-0.15932100934404048,-0.15715039429136368},
+{-0.9593062184208918,-0.5270933132260893,-0.3828331780721186,-0.31724834275115654,-0.27880946183898914,-0.2558928880280291,-0.23697782929187383,-0.2230333476465205,-0.21205978517093627,-0.2031367414078602,-0.19569724512643916,-0.1893844761333412,-0.18393371880810605,-0.17917231135470502,-0.1749639351292558,-0.17121536026840545,-0.16784935992572514,-0.16479450327477707,-0.1620197909653598,-0.1593451189368409,-0.15717454907689898},
+{-0.9590150397779666,-0.5269824022063858,-0.38279205490225365,-0.31723392082916746,-0.2788082805178078,-0.2558988756861993,-0.23698826835226328,-0.2230473591206703,-0.21207630504201802,-0.20315511439332568,-0.19571694906142056,-0.18940521820778145,-0.18395527438866566,-0.17919452648524725,-0.17498667911337407,-0.17123853352774177,-0.1678728773914031,-0.16481830361993843,-0.16204382377401316,-0.15936935515981077,-0.15719882946120833},
+{-0.9587240037995315,-0.5268716942268128,-0.38275111562504094,-0.3172196708297861,-0.27880726263813926,-0.25590501469491755,-0.23699886024957095,-0.2230615200880095,-0.21209297210350542,-0.2031736317633488,-0.1957367945872477,-0.18942609981039027,-0.18397696783668493,-0.17921687779949025,-0.17500955772237603,-0.17126183977188703,-0.1678965262881036,-0.1648422340668958,-0.16206798535193911,-0.1593937183847629,-0.1572232358270753},
+{-0.9584331110002466,-0.5267611896978934,-0.38271036067263253,-0.31720559318783614,-0.27880640862920814,-0.25591130550381536,-0.23700960538513982,-0.22307583095198424,-0.21210978675387082,-0.20319229391134286,-0.19575678210492242,-0.18944712133153985,-0.18399879954236553,-0.1792393656878346,-0.1750325713397558,-0.17128527937060767,-0.16792030698056237,-0.16486629498155025,-0.16209227606429977,-0.15941820896574654,-0.1572477685583067},
+{-0.9581423618950993,-0.5266508890357926,-0.3826697904801364,-0.31719168834999323,-0.2788057189248718,-0.2559177485767634,-0.23702050416179077,-0.22309029212084397,-0.21212674938925602,-0.20321110124444886,-0.19577691202925962,-0.18946828316407505,-0.18402076989949023,-0.17926199052629954,-0.17505572036179728,-0.17130885269483542,-0.16794421984670294,-0.16489048673642515,-0.16211669626613912,-0.15944282727295445,-0.15727242805547803},
+{-0.9578517570006113,-0.5265407926530798,-0.38262940548150937,-0.3171779567519195,-0.27880519395262127,-0.25592434438863165,-0.23703155699138279,-0.22310490399934224,-0.21214386041322086,-0.20323005416312867,-0.19579718477260144,-0.18948958569916385,-0.184042879302865,-0.17928475270684885,-0.1750790051692377,-0.17133256011999265,-0.16796826526251607,-0.1649148096991837,-0.16214124633373217,-0.15946757367277087,-0.15729721469608648},
+{-0.9575612968339726,-0.5264309009680659,-0.3825892061102678,-0.31716439883818737,-0.2788048341507192,-0.2559310933836798,-0.23704276427315563,-0.2231196669927158,-0.21216112022312927,-0.20324915306926528,-0.19581760074143517,-0.18951102933016273,-0.18406512815076326,-0.17930765261070292,-0.17510242615011862,-0.17135640202533864,-0.16799244359771137,-0.1649392642381997,-0.1621659266239135,-0.15949244852549782,-0.1573221288821003},
+{-0.9572709819100425,-0.526321214396404,-0.3825491928066356,-0.31715101505226073,-0.27880463995271043,-0.2559379960450201,-0.2370541264151882,-0.22313458151350574,-0.21217852922524116,-0.2032683983707102,-0.19583816035253676,-0.18953261445466296,-0.18408751683668356,-0.17933069062556228,-0.17512598369117427,-0.17138037877322176,-0.16801675523637982,-0.16496385073662623,-0.16219073750480106,-0.15951745221508418,-0.15734717099840623},
+{-0.9569808127506576,-0.5262117333592613,-0.38250936600863383,-0.31713780583802986,-0.2788046117998988,-0.2559450528376317,-0.23706564382476358,-0.22314964797359949,-0.21219608781890997,-0.2032877904752013,-0.19585886401392827,-0.18955434146437256,-0.18411004575926881,-0.17935386713423895,-0.175149678189797,-0.1714044907561174,-0.16804120054973737,-0.16498856955240626,-0.16221567935073722,-0.1595425850878769,-0.1573723414377639},
+{-0.9566907898726384,-0.5261024582763127,-0.38246972615844754,-0.3171247716478973,-0.2788047501252038,-0.2559522642194736,-0.2370773169108702,-0.22316486678684555,-0.21221379641147564,-0.2033073297925796,-0.1958797121490079,-0.18957621076322084,-0.18413271531809983,-0.17937718253031676,-0.17517351002589976,-0.1714287383473163,-0.16806577992392135,-0.16501342106550965,-0.1622407525280778,-0.15956784753583975,-0.15739764060236894},
+{-0.9564009137963865,-0.5259933895707292,-0.3824302736984322,-0.317111912924247,-0.27880505537407885,-0.2559596306733454,-0.23708914608374698,-0.2231802383666377,-0.21223165540487798,-0.20332701672629128,-0.19590070516403557,-0.18959822274689486,-0.18415552591278583,-0.1794006372055037,-0.17519747959690335,-0.1714531219212745,-0.16809049372963614,-0.16503840564837446,-0.16226595740425864,-0.15959323991557994,-0.15742306887483437},
+{-0.9561111850445059,-0.525884527665113,-0.3823910090702469,-0.3170992301180462,-0.2788055279798982,-0.25596715264802583,-0.23710113175576453,-0.22319576313381617,-0.21224966520634325,-0.2033468516923449,-0.1959218434865022,-0.1896203778200629,-0.18417847794509612,-0.17942423155014353,-0.17522158729298098,-0.17147764186000813,-0.16811534236006764,-0.16506352368122634,-0.1622912943543895,-0.15961876260263352,-0.1574486266619317},
+{-0.9558216041352949,-0.5257758729832176,-0.3823519327198568,-0.31708672368051793,-0.2788061683898775,-0.25597483063560844,-0.2371132743348312,-0.2232114415066917,-0.21226782622815676,-0.20336683510575426,-0.19594312752937526,-0.18964267637869625,-0.18420157181472518,-0.17944796595082835,-0.175245833506267,-0.1715022985531789,-0.1681403261926846,-0.16508877552493573,-0.16231676376119708,-0.15964441597913037,-0.15747431435849535},
+{-0.9555321715942284,-0.5256674259547935,-0.3823130450954295,-0.31707439406139315,-0.27880697705163016,-0.25598266509970813,-0.2371255742367282,-0.22322727390260866,-0.21228613887410575,-0.20338696737252349,-0.19596455770584953,-0.18966511882962322,-0.18422480792361284,-0.17947184081171486,-0.17527021862724723,-0.1715270923710932,-0.16816544561228852,-0.165114161571438,-0.16234236598555185,-0.15967020040142188,-0.15750013235418692},
+{-0.9552428879423474,-0.525559187006607,-0.38227434664788973,-0.3170622417247557,-0.278807954411576,-0.2559906565130632,-0.23713803188167049,-0.22324326075801082,-0.21230460356449044,-0.20340724891653394,-0.19598613445489832,-0.18968770558419124,-0.18424818669248566,-0.1794958565300817,-0.17529474306269321,-0.17155202371671407,-0.16819070101129796,-0.1651396821984008,-0.16236810142973468,-0.15969611627511426,-0.15752608107180777},
+{-0.9549537537054107,-0.5254511565672146,-0.382235837822023,-0.31705026711257744,-0.27880910090590305,-0.25599880535227726,-0.23715064767219474,-0.22325940248310872,-0.21232322069414522,-0.20342768014648982,-0.19600785817272026,-0.18971043703487567,-0.18427170850307562,-0.17952001348979252,-0.17531940718666306,-0.17157709295454993,-0.16821609276115623,-0.16516533776530196,-0.16239397044319048,-0.15972216394470706,-0.15755216087615054},
+{-0.954664769408609,-0.5253433350693228,-0.3821975190719371,-0.31703847068601476,-0.2788104169895007,-0.25600711207516724,-0.23716342203408658,-0.2232756995068712,-0.21234199068609882,-0.20344826147538697,-0.19602972929541806,-0.18973331359580925,-0.1842953737744324,-0.17954431209807353,-0.175344211403484,-0.17160230047826985,-0.1682416212576925,-0.1651911286614336,-0.16241997341433034,-0.1597483438015388,-0.15757837219399562},
+{-0.9543759355771471,-0.5252357229447568,-0.3821593908509726,-0.3170268529053999,-0.2788119031111762,-0.2560155771821542,-0.2371763553811661,-0.2232921522640936,-0.2123609139547682,-0.2034689933306879,-0.19605174824525307,-0.18975633567436034,-0.18431918291128113,-0.1795687527545624,-0.1753691561048072,-0.17162764667881447,-0.1682672868871009,-0.16521705526272967,-0.1624461107324464,-0.1597746562232487,-0.15760471542034793},
+{-0.954087252736727,-0.5251283206271182,-0.38212145361409,-0.3170154142278818,-0.2788135597254211,-0.2560242011405478,-0.23718944813202825,-0.2233087611832616,-0.2123799909152524,-0.20348987612609903,-0.19607391544406028,-0.18977950368750385,-0.18434313632721455,-0.17959333585937998,-0.17539424169427775,-0.1716531319451633,-0.16829309004521065,-0.1652431179533096,-0.16247238277594533,-0.15980110159881633,-0.15763119095382194},
+{-0.9537987214171721,-0.5250211285547266,-0.3820837078187509,-0.3170041551173597,-0.2788153872843111,-0.2560329844252749,-0.2372027007109807,-0.2233255266976073,-0.21239922198461159,-0.20351091028621227,-0.19609623132186016,-0.1898028180432334,-0.18436723443255687,-0.1796180618231915,-0.175419468565849,-0.17167875666945065,-0.16831903112120017,-0.16526931711462112,-0.16249878993002653,-0.15982768030460193,-0.15765779920823775},
+{-0.9535103421447673,-0.5249141471630026,-0.3820461539206832,-0.316993076033242,-0.27881738623841557,-0.2560419275249046,-0.2372161135329236,-0.22334244923882807,-0.21241860757726272,-0.2035320962258993,-0.1961186962949455,-0.18982627914814998,-0.1843914776330564,-0.17964293104350304,-0.1754448371141848,-0.17170452123960445,-0.1683451105009226,-0.16529565311915917,-0.1625253325785252,-0.15985439271722157,-0.15768454057160852},
+{-0.953222115450302,-0.5248073768914168,-0.3820087923820097,-0.3169821774399111,-0.2788195570454661,-0.25605103090319403,-0.23722968703216907,-0.22335952924370872,-0.21243814811663242,-0.20355343436855833,-0.19614131080444963,-0.1898498874267318,-0.18441586635492513,-0.17966794393657892,-0.17547034774645454,-0.1717304260516812,-0.16837132858685777,-0.1653221263613318,-0.1625520111146841,-0.1598812392325044,-0.15771141547858747},
+{-0.952934041862207,-0.5247008181800368,-0.3819716236620252,-0.3169714598054725,-0.2788219001604375,-0.25606029506187156,-0.23724342161921186,-0.22337676715221733,-0.21245784402708523,-0.20357492514042974,-0.19616407526913804,-0.18987364329325374,-0.1844404009975733,-0.17969310089944202,-0.1754960008481703,-0.17175647149230144,-0.1683976857645746,-0.1653487372162772,-0.16257882592333317,-0.1599082202351667,-0.15773842430945706},
+{-0.9526461219134177,-0.524594471471886,-0.38193464822616363,-0.3169609235895905,-0.2788244160470583,-0.25606972047455656,-0.23725731772748304,-0.22339416339852392,-0.2124776957246297,-0.20359656896255274,-0.19618699011326157,-0.18989754716091056,-0.1844650819902256,-0.17971840235233572,-0.1755217968338627,-0.17178265797201675,-0.16842418243572865,-0.165375486073998,-0.1626057773922014,-0.15993533610344457,-0.15776556748056692},
+{-0.9523583561362585,-0.5244883372113378,-0.38189786653609303,-0.31695056927051724,-0.2788271051628328,-0.25607930762697606,-0.2372713757799545,-0.2234117184305262,-0.21249770364048004,-0.20361836626045715,-0.1962100557801989,-0.1899215994559711,-0.18448990974781054,-0.1797438487068348,-0.17554773610166308,-0.1718089858760834,-0.16845081899205638,-0.16540237332475272,-0.1626328659175158,-0.15996258723981782,-0.1577928454053108},
+{-0.9520707450605528,-0.5243824158430215,-0.3818612790601037,-0.31694039730982126,-0.27882996796762427,-0.2560890570093193,-0.23728559620869305,-0.22342943268660065,-0.21251786819536278,-0.20364031745921807,-0.196233272690165,-0.18994580059279542,-0.18451488468545563,-0.17976944037781095,-0.1755738190486511,-0.17183545560311586,-0.1684775958347302,-0.16542939934331002,-0.16266009188871067,-0.1599899740263595,-0.15782025848142212},
+{-0.9517832892231155,-0.5242767078138257,-0.3818248862658038,-0.3169304081824862,-0.2788330049238539,-0.2560989690950066,-0.23729997944406023,-0.22344730660796586,-0.21253818981568884,-0.20366242297939152,-0.19625664128000153,-0.1899701509978513,-0.1845400072310781,-0.17979517778039167,-0.17560004608350255,-0.17186206755388866,-0.16850451336233618,-0.1654565645289381,-0.16268745570573628,-0.16001749684932065,-0.15784780713474333},
+{-0.9514959891572659,-0.5241712135730268,-0.38178868862294735,-0.31692060236130715,-0.27883621649917245,-0.2561090443901435,-0.23731452591354696,-0.22346534064109846,-0.21255866893892517,-0.20368468325565914,-0.19628016198248588,-0.18999465109300218,-0.18456527779667908,-0.1798210613266633,-0.17562641760574138,-0.17188882212997214,-0.16853157196482016,-0.1654838692667795,-0.1627149577579985,-0.16004515610839576,-0.1578754917612457},
+{-0.9512088453983552,-0.5240659335702134,-0.38175268660020834,-0.3169109803160097,-0.2788396031578202,-0.2561192833742325,-0.2373292360469179,-0.2234835352324751,-0.21257930598318353,-0.20370709870806536,-0.1963038352239721,-0.19001930130210098,-0.18459069681520646,-0.17984709144457156,-0.17565293402165594,-0.17191571973287978,-0.16855877204682201,-0.16551131394982121,-0.1627425984446802,-0.1600729521923938,-0.15790331276897973},
+{-0.9509218584831558,-0.5239608682595076,-0.3817168806743183,-0.31690154252814295,-0.2788431653704606,-0.2561296865397935,-0.23734411028286218,-0.22350189083252303,-0.2126001013893415,-0.20372966977026863,-0.1963276614494589,-0.19004410205511135,-0.1846162647087226,-0.17987326855163133,-0.17567959574145675,-0.1719427607618229,-0.16858611401139,-0.1655388989664175,-0.1627703781595642,-0.16010088550208934,-0.1579312705787288},
+{-0.9506350289492076,-0.5238560180928999,-0.38168127131750396,-0.3168922894703883,-0.27884690360059494,-0.2561402543882423,-0.23735914905907407,-0.22352040788496197,-0.21262105558500366,-0.20375239686813984,-0.19635164108336767,-0.19006905378310535,-0.18464198190233105,-0.17989959307035974,-0.17570640316804997,-0.17196994562488044,-0.16861359826162925,-0.1655666247096974,-0.16279829730899564,-0.16012895642589342,-0.1579593655927738},
+{-0.9503483573345619,-0.523751383525564,-0.38164585900663894,-0.31688322162449367,-0.2788508183203078,-0.25615098739484665,-0.23737435281154262,-0.22353908684388557,-0.21264216900812016,-0.20377528043130155,-0.19637577456992972,-0.19009415690953801,-0.18466784882451748,-0.17992606543162992,-0.175733356710424,-0.1719972747272891,-0.16864122519137936,-0.16559449158305029,-0.16282635628758158,-0.16015716535849833,-0.15798759822570219},
+{-0.950061844177668,-0.5236469650159137,-0.38161064421825586,-0.3168743394682281,-0.27885491000432694,-0.2561618860772512,-0.2373897219768537,-0.22355792815994846,-0.21266344209590216,-0.2037983208903711,-0.19640006234354246,-0.1901194118684657,-0.18469386590049908,-0.17995268605460524,-0.1757604567759472,-0.17202474847070448,-0.16866899520792344,-0.16562249997795675,-0.16285455549416383,-0.16018551270951775,-0.1580159688913909},
+{-0.9497754900200448,-0.5235427630218794,-0.3815756274328521,-0.31686564348112256,-0.2788591791244528,-0.25617295091984715,-0.23740525699636805,-0.2235769322825263,-0.2126848752833439,-0.20382151867565312,-0.1964245048371822,-0.19014481909573533,-0.1847200335652417,-0.1799794553656966,-0.1757877037777007,-0.17205236726564976,-0.1686969087148782,-0.16565065028811432,-0.16288289534091405,-0.1602139988652027,-0.15804447798939236},
+{-0.9494892954014205,-0.5234387780056124,-0.3815408091324599,-0.3168571341520874,-0.27886362615620897,-0.2561841824230555,-0.23742095831406118,-0.22359609967037386,-0.21270646901317036,-0.20384487421810604,-0.19644910249485292,-0.19017037902580114,-0.18474635224998792,-0.18000637380450257,-0.17581509811915907,-0.17208013152404078,-0.16872496611819088,-0.1656789429192429,-0.16291137621902863,-0.16024262422803304,-0.15807312593932465},
+{-0.9492032608651044,-0.5233350104289372,-0.3815061898013141,-0.31684881196150627,-0.27886825157571593,-0.25619558109474383,-0.23743682637186225,-0.22361543077209944,-0.21272822372381484,-0.2038683879508767,-0.19647385575194676,-0.19019609208797306,-0.1847728223831382,-0.18003344179200553,-0.17584264022164575,-0.1721080416520806,-0.16875316781391803,-0.16570737826677373,-0.16293999853459695,-0.1602713891970211,-0.15810191314139388},
+{-0.9489173869530845,-0.5232314607546726,-0.38147176991961373,-0.31684067739456623,-0.2788730558600321,-0.2562071474178822,-0.2374528616195164,-0.22363492604682733,-0.2127501398585423,-0.2038920603035308,-0.1964987650475507,-0.19022195873239411,-0.18479944439923202,-0.18006065976862828,-0.17587033048934586,-0.1721360980625093,-0.1687815142180682,-0.165735956739411,-0.1629687626943337,-0.16030029418195113,-0.15813084001072752},
+{-0.9486316742087411,-0.523128129448807,-0.38143754997699375,-0.3168327309432186,-0.2788780394869548,-0.25621888192100073,-0.23746906450077176,-0.2236545859536534,-0.21277221786351674,-0.20391589171572377,-0.19652383083013092,-0.19024797939010796,-0.18482621873630478,-0.18008802816024172,-0.17589816933707425,-0.17216430116690162,-0.16881000573459914,-0.16576467873406386,-0.16299766910844937,-0.16032933957657747,-0.15815990695520554},
+{-0.9483461231781973,-0.523025016980128,-0.38140353046084385,-0.31682497308858615,-0.2788832029431205,-0.2562307850935497,-0.2374854354625029,-0.2236744109420954,-0.21279445818603904,-0.2039398826143497,-0.19654905353095842,-0.19027415450318585,-0.18485314581965895,-0.18011554740508018,-0.17592615718302795,-0.1721926513754113,-0.16883864276687177,-0.16579354466441032,-0.1630267181672025,-0.16035852578752952,-0.15818911437023075},
+{-0.9480607344071643,-0.5229221238168122,-0.3813697118600885,-0.3168174043312888,-0.27888854670837304,-0.2562428574436808,-0.23750197496337933,-0.22369440147926412,-0.21281686126744148,-0.20396403343588076,-0.1965744335920192,-0.19030048451224957,-0.18488022609918175,-0.18014321793503996,-0.17595429443471744,-0.17222114911024278,-0.16886742572054914,-0.16582255492528475,-0.16305591029035327,-0.1603878532167755,-0.15821846266752004},
+{-0.9477755084410262,-0.5228194504318111,-0.38133609466773066,-0.31681002515611567,-0.27889407126579613,-0.25625509949162506,-0.23751868344979243,-0.22371455802115747,-0.21283942756227248,-0.20398834462099558,-0.19659997146641217,-0.1903269698710801,-0.18490746000395575,-0.18017104019489238,-0.17598258151613777,-0.17224979478552882,-0.16889635501104294,-0.16585170993977272,-0.16308524588410478,-0.1604173222804377,-0.15824795225506705},
+{-0.9474904458283078,-0.5227169972967545,-0.38130267937590645,-0.31680283605649606,-0.278899777100861,-0.25626751172180207,-0.2375355613815202,-0.22373488102732608,-0.21286215751990767,-0.2040128165976398,-0.19662566759447486,-0.19035361101188641,-0.18493484797275528,-0.18019901461599375,-0.17601101883801107,-0.1722785888162548,-0.16892543104037827,-0.16588101010734135,-0.1631147253474694,-0.16044693337218519,-0.15827758352372712},
+{-0.9472055471181449,-0.5226147648868817,-0.3812694664813563,-0.3167958375327089,-0.278905664700261,-0.2562800946759296,-0.23755260921490162,-0.2237553709640565,-0.2128850515967713,-0.20403744981169325,-0.1966515224149532,-0.19038040839441805,-0.18496239044074514,-0.18022714163814157,-0.17603960681915964,-0.17230753162533574,-0.1689546542251037,-0.16591045584263497,-0.16314434910395903,-0.1604766869048433,-0.1583073568842508},
+{-0.946920812858508,-0.5225127536764234,-0.3812364564777653,-0.3167890300737497,-0.27891173455847706,-0.2562928488540308,-0.23756982740437138,-0.22377602829311627,-0.21290811024326217,-0.2040622446927216,-0.19667753637673968,-0.19040736245992207,-0.18499008785582305,-0.1802554217026966,-0.17606834588340803,-0.17233662363156554,-0.16898402496846643,-0.16594004756373693,-0.16317411755454714,-0.16050658329041312,-0.1583372727300798},
+{-0.9466362436025122,-0.5224109641480794,-0.38120364986728816,-0.31678241418507014,-0.27891798716353833,-0.2563057747688333,-0.23758721641661396,-0.22379685348263934,-0.21293133392168784,-0.2040872016898163,-0.19670370992858466,-0.1904344736662722,-0.18501794066423827,-0.18028385525448698,-0.1760972364453437,-0.1723658652613267,-0.1690135436946889,-0.16596978568230725,-0.1632040311160381,-0.1605366229469496,-0.15836733146937831},
+{-0.9463518398994353,-0.5223093967781836,-0.38117104714700645,-0.31677599036160586,-0.2789244229995802,-0.2563188729476167,-0.23760477670620617,-0.22381784698458773,-0.21295472307727437,-0.20411232123197465,-0.19673004351315626,-0.19046174245136172,-0.18504594928396045,-0.18031244272296476,-0.1761262789292175,-0.1723952569235223,-0.1690432107945412,-0.1659996706071638,-0.1632340901828968,-0.16056680626371644,-0.1583975334701222},
+{-0.9460676023031027,-0.522208052051397,-0.38113864882166126,-0.31676975910696115,-0.278931042568189,-0.25633214389068826,-0.23762250874673896,-0.22383900927840727,-0.21297827818116843,-0.2041376037657301,-0.19675653758730505,-0.19048916928352355,-0.1850741141815604,-0.1803411845672258,-0.17615547375956453,-0.17242479906011,-0.16907302670674085,-0.16602970277247664,-0.1632642951913965,-0.16059713367377526,-0.15842787916170664},
+{-0.9457835313668426,-0.5221069304487997,-0.38110645539074994,-0.31676372092266547,-0.2789378463611172,-0.2563455881391974,-0.23764041299764926,-0.22386034082637707,-0.21300199969221012,-0.20416304973358024,-0.19678319258943588,-0.1905167546089217,-0.1851024357790152,-0.1803700812111515,-0.17618482134523106,-0.17245449207831598,-0.16910299181103028,-0.16605988257327908,-0.16329464652997672,-0.16062760557647948,-0.15845836891202225},
+{-0.9454996276448213,-0.5220060324577531,-0.38107446736336215,-0.3167578763090546,-0.27894483487628463,-0.25635920620828756,-0.23765848992744054,-0.2238818420987343,-0.21302588807262168,-0.20418865957302046,-0.19681000897304557,-0.19054449888872682,-0.18513091453516495,-0.18039913310695965,-0.17621432212439458,-0.17248433642234318,-0.16913310655976943,-0.16609021045914574,-0.16332514462206404,-0.16065822239556837,-0.15848900312201408},
+{-0.945215891693465,-0.5219053585675795,-0.3810426852464275,-0.3167522257784867,-0.2789520086154482,-0.2563729986193266,-0.23767674000936267,-0.22390351356693827,-0.21304994378797915,-0.20421443373462012,-0.1968369871967468,-0.19057240258032948,-0.18515955088815872,-0.18042834070800495,-0.17624397652770085,-0.17251433250558534,-0.16916337134102832,-0.16612068683443226,-0.16335578989060195,-0.1606889845499495,-0.15851978220894125},
+{-0.9449323240676648,-0.5218049092647306,-0.3810111095467619,-0.316746769834765,-0.27895936807061616,-0.2563869659047384,-0.23769516371626764,-0.22392535570313044,-0.21307416730635964,-0.20424037265743777,-0.1968641277047709,-0.19060046613682857,-0.18518834528211414,-0.1804577044540281,-0.17627378497405743,-0.17254448076079143,-0.16919378659164863,-0.16615131213038126,-0.1633865827469947,-0.16071989244170481,-0.15855070653597636},
+{-0.9446489253273143,-0.5217046850398788,-0.3809797407786846,-0.316741508987036,-0.27896691374581906,-0.25640110857924014,-0.2377137615195295,-0.22394736897669532,-0.21309855909220232,-0.2042664767855058,-0.19689143095212103,-0.1906286900244254,-0.18521729816836796,-0.18048722478317814,-0.17630374789027314,-0.17257478161911877,-0.16922435271115432,-0.16618208676757718,-0.16341752360051487,-0.16075094649636412,-0.1585817765189006},
+{-0.9443656960299336,-0.5216046863897787,-0.38094857945091576,-0.3167364437469473,-0.27897464614648015,-0.2564154271919108,-0.23773253389848037,-0.2239695538603712,-0.2131231196214287,-0.20429274657396945,-0.19691889739476665,-0.19065707470238635,-0.18524640998634823,-0.1805169021500035,-0.17633386570966536,-0.17260523552363338,-0.1692550701288269,-0.16621301116740028,-0.16344861287751655,-0.1607821471367572,-0.15861299254078176},
+{-0.9440826367341231,-0.5215049138050603,-0.3809176260783431,-0.3167315746202064,-0.2789825657734184,-0.25642992225792227,-0.2377514813277628,-0.22399191083141545,-0.21314784936316755,-0.2043191824637347,-0.19694652748395924,-0.19068562062881256,-0.1852756811874201,-0.180546736997087,-0.176364138852648,-0.17263584287906042,-0.16928593926422764,-0.16624408576521432,-0.16347985097857531,-0.16081349477457252,-0.15864435498588136},
+{-0.9437997480022915,-0.5214053677863859,-0.3808868811804871,-0.3167269021280674,-0.27899067313728665,-0.25644459431885025,-0.23777060428608365,-0.22401444037001284,-0.2131727487948467,-0.20434578490608146,-0.19697432167782836,-0.19071432828164347,-0.18530511222306245,-0.1805767297744012,-0.17639456776916518,-0.17266660413687873,-0.1693169605323419,-0.16627531099027237,-0.163511238336298,-0.16084498984255902,-0.1586758642614825},
+{-0.943517030394915,-0.5213060488286203,-0.38085634527158163,-0.3167224267812969,-0.27899896874072283,-0.2564594439123482,-0.2377899032591415,-0.22403714295313648,-0.21319781838678864,-0.20437255435459178,-0.19700228043836887,-0.19074319811565488,-0.1853347035368813,-0.18060688093356703,-0.17642515288139293,-0.17269751974006908,-0.16934813436907348,-0.16630668726554632,-0.16354277537044482,-0.16087663275854425,-0.15870752078166106},
+{-0.9432344844754965,-0.5212069574351972,-0.3808260188733925,-0.3167181490976816,-0.27900745309523245,-0.2564744715574534,-0.23780937873351604,-0.22406001905531525,-0.21322305861761492,-0.20439949125460544,-0.19703040421669016,-0.19077223059562698,-0.18536445557970183,-0.18063719091861685,-0.17645589462696876,-0.17272859009736408,-0.16937946118355285,-0.16633821502830415,-0.16357446249733698,-0.16090842392540594,-0.15873932492164045},
+{-0.9429521108063028,-0.5211080941081292,-0.38079590250515594,-0.31671406959569026,-0.27901612670882514,-0.25648967781739884,-0.23782903118669196,-0.22408306915954768,-0.21324846997515579,-0.2044265960641951,-0.19705869347981775,-0.19080142619651497,-0.1853943688004165,-0.1806676601802053,-0.17648679343517415,-0.17275981566609744,-0.1694109414113143,-0.16636989471015795,-0.16360630013483046,-0.1609403637989999,-0.15877127708424155},
+{-0.9426699099543612,-0.521009459351859,-0.3807659966917356,-0.31671018879197277,-0.2790249900990034,-0.25650506321980515,-0.23784886111087644,-0.22410629375130497,-0.2132740529356738,-0.204453869233447,-0.19708714867567778,-0.1908307853779263,-0.18542444365587585,-0.18069828916461006,-0.17651784974725615,-0.17279119686818945,-0.16944257547237385,-0.1664017267297595,-0.1636382887164416,-0.1609724527721994,-0.15880337766193975},
+{-0.9423878824838283,-0.5209110536734585,-0.38073630195995634,-0.3167065072125581,-0.279034043777898,-0.25652062830357636,-0.2378688689982198,-0.22412969331276145,-0.21329980798404335,-0.20448131122444124,-0.19711577028238025,-0.19086030862146686,-0.18545468059946302,-0.18072907833467866,-0.17654906401216408,-0.17282273416714133,-0.16947436380252157,-0.1664337115522585,-0.163670428661419,-0.16100469130441297,-0.1588356270894451},
+{-0.942106028963309,-0.5208128775800276,-0.38070681883459656,-0.31670302537770567,-0.2790432882584355,-0.2565363736268296,-0.23788905533535853,-0.22415326832930305,-0.21332573559976709,-0.20450892248649666,-0.1971445587539904,-0.1908899963879378,-0.18548508008686326,-0.18076002813401715,-0.17658043665508671,-0.1728544279721973,-0.16950630681924395,-0.16646584957561572,-0.1637027203861976,-0.16103707979371507,-0.15886802573223235},
+{-0.9418243499588215,-0.5207149315806703,-0.38067754784384533,-0.31669974381108545,-0.27905272405905635,-0.2565522997115295,-0.2379094206186494,-0.22417701928731049,-0.2133518362740574,-0.2045367034828871,-0.19717351455201992,-0.1909198491603945,-0.18551564256341635,-0.18079113901418964,-0.1766119681235807,-0.1728862787348362,-0.16953840496773864,-0.16649814125878493,-0.16373516433148438,-0.16106961867839686,-0.15890057402316415},
+{-0.9415428460400648,-0.520617216187631,-0.38064848951938757,-0.31669666304105704,-0.27906235169862725,-0.2565684071284693,-0.23792996534376698,-0.22420094667486978,-0.2133781105008552,-0.20456465467412954,-0.197202638149804,-0.19094986740003606,-0.1855463684965457,-0.18082241142514022,-0.17664365886042788,-0.17291828689550925,-0.16957065867597976,-0.16653058702792123,-0.16376776090334033,-0.16110230837733752,-0.15893327235528432},
+{-0.9412615177784005,-0.5205197319169059,-0.38061964439222606,-0.3166937835891588,-0.27907217169703813,-0.2565846964136256,-0.23795069000618696,-0.22422505097850376,-0.213404558757901,-0.20459277651536922,-0.19723192999896355,-0.19098005158645037,-0.185577258337986,-0.18085384582371944,-0.1766755093022141,-0.17295045289668565,-0.16960306837765415,-0.16656318732592013,-0.16380051055080003,-0.16113514934036743,-0.1589661211417024},
+{-0.940980365744494,-0.5204224792842922,-0.3805910129988206,-0.3166911059970232,-0.27908218458173906,-0.2566011681209659,-0.2379715951091157,-0.22424933269871872,-0.2134311815522949,-0.2046210694788897,-0.1972613905811329,-0.19101040219968013,-0.18560831255229004,-0.1808854426706148,-0.17670751990178246,-0.17298277718171562,-0.1696356345076424,-0.16659594259311916,-0.16383341369683535,-0.16116814197619078,-0.15899912080772083},
+{-0.9406993905097636,-0.520325458805516,-0.38056259587344243,-0.3166886307842276,-0.2790923908658556,-0.2566178228067031,-0.23799268114581196,-0.2242737923195932,-0.21345797936635336,-0.20464953402293418,-0.1972910203537026,-0.191040919706154,-0.18563953159056723,-0.18091720240485643,-0.1767396911004937,-0.1730152601812165,-0.16966835749659026,-0.16662885324927856,-0.16386647076990357,-0.16120128672426404,-0.15903227175891743},
+{-0.9404185926477027,-0.520228671000794,-0.38053439355411456,-0.3166863584864359,-0.27910279108152736,-0.25663466101019594,-0.23801394862729808,-0.2242984303380524,-0.2134849527023448,-0.2046781706102081,-0.19732081979066152,-0.19107160458995054,-0.18567091592146312,-0.18094912549321407,-0.17677202334562025,-0.17304790235402834,-0.169701237801263,-0.1666619197611965,-0.16389968219920092,-0.16123458401315816,-0.15906557442289682},
+{-0.9401379727328703,-0.5201321163929009,-0.38050640658019574,-0.31668428963880046,-0.27911338575157174,-0.2566516833034882,-0.2380353980508687,-0.22432324725102148,-0.2135121020565407,-0.2047069797179688,-0.19735078935670458,-0.19110245732790077,-0.1857024660030504,-0.1809812123846939,-0.17680451708443456,-0.17308070412511256,-0.1697342758414777,-0.16669514254604678,-0.1639330484221091,-0.16126803426266179,-0.15909902923056052},
+{-0.9398575313408344,-0.5200357955030341,-0.3804786354935743,-0.3166824247765305,-0.2791241754113969,-0.25666889023969475,-0.23805702993016098,-0.22434824355570981,-0.2135394279306695,-0.2047359618103144,-0.1973809295328408,-0.1911334784001042,-0.18573418231014216,-0.18101346353893177,-0.17683717277543565,-0.1731136659607273,-0.16976747208383358,-0.16672852206068,-0.16396656987524239,-0.16130163793150132,-0.15913263659223276},
+{-0.9395772690506021,-0.519939708860818,-0.38045108084162393,-0.31668076444066173,-0.27913516058890764,-0.2566862823742895,-0.2380788447692055,-0.2243734197539311,-0.21356693082600486,-0.2047651173616316,-0.19741124078760208,-0.1911646682837329,-0.1857660653028006,-0.18104587942312378,-0.17686999086510014,-0.17314678830135222,-0.16980082695346255,-0.166762058739522,-0.1640002469949593,-0.1613353954348895,-0.1591663969608419},
+{-0.9392971864364767,-0.5198438569901498,-0.3804237431606623,-0.31667930916387377,-0.27914634180982034,-0.25670386026860115,-0.2381008430767224,-0.22439877633019023,-0.21359461123458345,-0.20479444683419956,-0.19744172358682022,-0.1911960274544242,-0.18579811544015,-0.1810784604747937,-0.1769029717941919,-0.1731800715690497,-0.16983434089726757,-0.16679575301131422,-0.16403408020374854,-0.16136930719795828,-0.15920031074441},
+{-0.9390172840784174,-0.5197482404214355,-0.38039662300661803,-0.3166780594916929,-0.2791577196122432,-0.25672162447520464,-0.2381230253748754,-0.22442431380997618,-0.21362246967154874,-0.20482395071533688,-0.1974723784164496,-0.1912275564145034,-0.18583033319956144,-0.1811112071780201,-0.17693611603576187,-0.17321351624704562,-0.16986801437883514,-0.1668296053519498,-0.16406806996670298,-0.16140337369310487,-0.15923437840979204},
+{-0.9387375625572218,-0.5196528596864454,-0.3803697209225163,-0.31667701596649067,-0.2791692945294528,-0.25673957557461335,-0.23814539216155595,-0.224450032680096,-0.21365050664172713,-0.20485362947687236,-0.19750320574718216,-0.19125925562659063,-0.18586271905377316,-0.1811441199672572,-0.17696942402446325,-0.17324712274833587,-0.1699018478294363,-0.16686361617115608,-0.1641022166939763,-0.1614375952955811,-0.15926860037473034},
+{-0.9384580224535313,-0.5195577153170206,-0.38034303746397313,-0.31667617912702895,-0.27918106709933,-0.25675771411872006,-0.23816794396242358,-0.22447593345185624,-0.21367872265165033,-0.20488348359376118,-0.1975342060507046,-0.19129112558348993,-0.18589527347600665,-0.18117719932428145,-0.17700289622953846,-0.173280891539207,-0.16993584171311227,-0.1668977859320364,-0.16413652083431884,-0.1614719724899203,-0.159302977099685},
+{-0.9381786643502465,-0.5194628078518804,-0.3803165731790443,-0.31667554952852583,-0.279193037862143,-0.2567760406795969,-0.2381906812948671,-0.2245020166314191,-0.21370711821623445,-0.20491351355951792,-0.1975653798218957,-0.1913231667758737,-0.18592799694027917,-0.1812104457040391,-0.1770365331129824,-0.17331482307216106,-0.1699699964808019,-0.16693211509104344,-0.16417098285154452,-0.16150650569835534,-0.1593375090274094},
+{-0.9378994888295011,-0.5193681378253814,-0.38029032862476697,-0.31667512770869166,-0.2792052073553748,-0.25679455582780975,-0.23821360467587738,-0.22452828272287206,-0.21373569383462154,-0.20494371983693327,-0.19759672752289248,-0.19135537968026028,-0.18596088991793636,-0.18124385956531341,-0.17707033512027692,-0.17334891779051986,-0.17000431257770288,-0.16696660408035768,-0.1642056031724053,-0.16154119535727318,-0.15937219658971458},
+{-0.9376204964771517,-0.5192737057756034,-0.3802643043595424,-0.3166749142232561,-0.2792175761215674,-0.2568132601168429,-0.23823671462878337,-0.22455473224476918,-0.21376445002911737,-0.20497410292534823,-0.19762824964806214,-0.19138776479260855,-0.18599395289635368,-0.18127744137751733,-0.17710430272128974,-0.17338317614954235,-0.17003879048056092,-0.16700125335188432,-0.1642403822422125,-0.16157604189965014,-0.15940704028190567},
+{-0.9373416878782876,-0.5191795122466374,-0.38023850093867395,-0.3166749096236572,-0.27923014470218277,-0.25683215413533844,-0.23826001167199706,-0.2245813656942346,-0.21379338731452435,-0.2050046633075624,-0.1976599466680966,-0.19142032259594544,-0.1860271863423293,-0.18131119160514686,-0.17713843638142635,-0.17341759858388173,-0.170073430625024,-0.1670360633391681,-0.16427532049516458,-0.16161104575741092,-0.1594420404999255},
+{-0.9370630636197745,-0.5190855577787659,-0.38021291892289355,-0.3166751144567854,-0.27924291364266196,-0.25685123844363034,-0.2382834963277105,-0.2246081835910445,-0.21382250620243326,-0.20503540146307841,-0.19769181907668099,-0.19145305358199494,-0.18606059075116832,-0.18134511070095982,-0.17717273654477594,-0.17345218556056352,-0.1701082334768671,-0.16707103450806926,-0.16431041839547333,-0.16164620739675684,-0.1594771977089806},
+{-0.9367846242890323,-0.5189918429189646,-0.3801875588768837,-0.3166755292824348,-0.2792558834972567,-0.2568705136210383,-0.23830716912488015,-0.22463518644681812,-0.21385180721250663,-0.20506631789166363,-0.19772386735502323,-0.19148595823867254,-0.18609416660160605,-0.1813791991494611,-0.17720720368805587,-0.17348693752254007,-0.17014319949512924,-0.16710616730887295,-0.16434567638364683,-0.1616815272350891,-0.15951251236592157},
+{-0.936506370476522,-0.5188983682128026,-0.3801624213642185,-0.31667615465545396,-0.27926905480418895,-0.2568899802434146,-0.23833103059502037,-0.22466237478022322,-0.21388129086312802,-0.2050974130840757,-0.19775609199604105,-0.19151903707029305,-0.18612791438232534,-0.1814134574100308,-0.17724183828863715,-0.17352185495118988,-0.17017832915800568,-0.16714146218845372,-0.1643810949088902,-0.16171700573977432,-0.15954798493365274},
+{-0.9362283027713545,-0.5188051342096287,-0.3801375069494668,-0.3166769911321694,-0.2792824281181936,-0.2569096388722585,-0.2383550812631654,-0.2246897491009463,-0.21391095766895774,-0.20512868752962277,-0.1977884934777876,-0.19155229055451173,-0.18616183457245938,-0.18144788594506167,-0.17727664079029637,-0.17355693826013407,-0.170213622909813,-0.16717691960047887,-0.16441667442501284,-0.16175264331857875,-0.15958361582534053},
+{-0.9359504217656252,-0.5187121414604405,-0.3801128161992722,-0.31667803927501836,-0.27929600398982757,-0.2569294901061596,-0.23837932165949383,-0.22471730993149208,-0.21394080816554606,-0.2051601417336144,-0.19782107230383872,-0.19158571919783185,-0.18619592768084203,-0.18148248523942812,-0.17731161169189136,-0.17359218793978926,-0.17024908123605087,-0.1672125400025095,-0.16445241537590505,-0.1617884404430754,-0.15961940552685405},
+{-0.9356727280517987,-0.5186193905178555,-0.3800883496877532,-0.3166792996377126,-0.27930978297465003,-0.2569495345056225,-0.23840375231611688,-0.22474505778649245,-0.21397084286331847,-0.20519177618515982,-0.19785382894684744,-0.19161932348453092,-0.18623019416443753,-0.18151725572718647,-0.1773467514152287,-0.17362760441932323,-0.17028470457066192,-0.1672483238245377,-0.1644883181996022,-0.16182439751759148,-0.1596553544361825},
+{-0.9353952222243009,-0.5185268819373903,-0.38006410798590196,-0.31668077279354634,-0.2793237656294707,-0.2569697726641209,-0.23842837377210913,-0.22477299319584176,-0.21400106229785365,-0.20522359138419688,-0.1978867639186035,-0.19165310393523782,-0.18626463456575948,-0.18155219793240462,-0.1773820604931018,-0.17366318818798732,-0.1703204934165683,-0.16728427155507575,-0.1645243833846166,-0.16186051504962506,-0.15969146305133108},
+{-0.9351179048775435,-0.5184346162749449,-0.3800400916661033,-0.31668245930401895,-0.2793379525080013,-0.25699020515477855,-0.23845318655193637,-0.22480111666453695,-0.21403146698162345,-0.20525558784495956,-0.197919877704976,-0.1916870610214687,-0.1862992493404363,-0.18158731227305225,-0.17741753934814142,-0.17369893968864858,-0.17035644821632445,-0.16732038364330037,-0.16456061135360756,-0.16189679343901275,-0.15972773178395983},
+{-0.9348407766079703,-0.5183425940893898,-0.3800163013064548,-0.3166843597316813,-0.2793523441681316,-0.25701083255285084,-0.23847819120513236,-0.2248294287289525,-0.21406205744770546,-0.20528776606224142,-0.1979531707987121,-0.19172119526211873,-0.18633403900057033,-0.18162259925898638,-0.17745318848520242,-0.17373485937704913,-0.1703925694509678,-0.16735666053290288,-0.16459700257237841,-0.16193323315442854,-0.15976416108679814},
+{-0.9345638380129628,-0.5182508159403483,-0.37999273748221185,-0.31668647465176036,-0.279366941173663,-0.25703165546062223,-0.23850338826167672,-0.22485792990823938,-0.21409283423597003,-0.2053201265451321,-0.1979866437111184,-0.1917555071553636,-0.18636900404098355,-0.18165805934802393,-0.17748900836869552,-0.17377094771907764,-0.1704288575905082,-0.1673931026974742,-0.16463355747930564,-0.16196983463603942,-0.1598007514146218},
+{-0.9342870896913666,-0.5181592823906698,-0.3799694007736605,-0.3166888046253007,-0.279381744084219,-0.2570526744489996,-0.2385287782628609,-0.2248866207246749,-0.21412379786679026,-0.205352669796099,-0.19802029691598477,-0.191789997199038,-0.1864041449696856,-0.18169369301685379,-0.17752499947178535,-0.17380720518781345,-0.17046531310646174,-0.16742971059886713,-0.16467027655775723,-0.16200659834566977,-0.15983750320947365},
+{-0.9340105322437608,-0.51806799400606,-0.3799462917648384,-0.316691350232702,-0.27939675346411263,-0.25707389010321435,-0.23855436175182376,-0.2249155017018154,-0.21415494886505826,-0.20538539633471942,-0.19805413092672097,-0.1918246658921987,-0.18643946227632568,-0.18172950073559946,-0.177561162266187,-0.17384363222927846,-0.17050193646068124,-0.1674664846725591,-0.16470716023235354,-0.16204352472541927,-0.15987441691606818},
+{-0.9337341662694598,-0.5179769513523098,-0.3799234110385612,-0.3166941120455249,-0.2794119698802149,-0.2570953030228509,-0.23858013927181787,-0.2249445733835671,-0.21418628777578874,-0.20541830667104932,-0.19808814625341142,-0.1918595137634327,-0.18647495648465906,-0.1817654829972355,-0.17759749724879725,-0.1738802293372146,-0.1705387281421622,-0.16750342541510577,-0.1647442089916069,-0.16208061422983633,-0.1599114930058363},
+{-0.9334579923713306,-0.5178861549977825,-0.3799007591803445,-0.3166970906360973,-0.27942739389979465,-0.2571169137771676,-0.23860611136947796,-0.2249738362758933,-0.21421781512725602,-0.20545140131369521,-0.1981223433919581,-0.19189454129949013,-0.18651062808260122,-0.18180164025741874,-0.1776340048961913,-0.17391699695031093,-0.17057568861397954,-0.16754053326809526,-0.16478142327133583,-0.1621178673199779,-0.1599487319251125},
+{-0.9331820111546136,-0.5177956055142516,-0.3798783367784324,-0.3167002865842221,-0.2794430260915419,-0.25713872297680496,-0.2386322785842765,-0.225003290922956,-0.21424953146413372,-0.20548468079172721,-0.19815672284329366,-0.19192974902284732,-0.18654647758049236,-0.18183797301517757,-0.17767068567971478,-0.17395393556839167,-0.17061281836470243,-0.16757780871222394,-0.16481880354297118,-0.16215528444155325,-0.15998613412094187},
+{-0.9329062232216785,-0.5177053034713595,-0.37985614442524707,-0.3167037004703275,-0.2794588670280689,-0.2571607311998889,-0.2386586414697831,-0.22503293785192113,-0.21428143731534988,-0.20551814562230675,-0.19819128511230133,-0.19196513743042942,-0.18658250549432864,-0.18187448174268184,-0.1777075400989645,-0.1739910456461473,-0.17065011784438866,-0.16761525220800877,-0.1648563502566276,-0.16219286606119,-0.16002370006242472},
+{-0.9326306291808777,-0.5176152494461519,-0.37983418271088,-0.3167073328743868,-0.2794749172838067,-0.25718293904600387,-0.23868520057698106,-0.22506277759924842,-0.21431353321545998,-0.20555179632509635,-0.1982260307229069,-0.19200070706071415,-0.18661871233354077,-0.18191116692889864,-0.17774456862349552,-0.17402832766271104,-0.17068758756599323,-0.1676528642340429,-0.1648940638923193,-0.16223061263008276,-0.16006143021900243},
+{-0.9323552296365278,-0.5175254440129322,-0.3798124522256501,-0.31671118437711243,-0.2794911774269053,-0.25720534710092124,-0.23871195644210275,-0.22509281068107612,-0.21434581970660815,-0.20558563341401737,-0.198260960162429,-0.19203645838987882,-0.18665509859064855,-0.18194802903400387,-0.1777817717293999,-0.17406578207908296,-0.1707252279764475,-0.16769064522074473,-0.16493194487833307,-0.1622685245911839,-0.1600993250232534},
+{-0.9320800251999231,-0.5174358877511338,-0.3797909535748545,-0.31671525556564006,-0.279507648037594,-0.25722795595444836,-0.2387389096378456,-0.2251230376532476,-0.2143782973352586,-0.20561965742567168,-0.1982960739578914,-0.1920723919682814,-0.18669166479730848,-0.1819850685722031,-0.17781914993656756,-0.17410340938809554,-0.17076303956358174,-0.1677285956926653,-0.1649699937150899,-0.1623066024276909,-0.16013738497383656},
+{-0.9318050164797853,-0.5173465812399911,-0.37976968734650995,-0.31671954702684957,-0.2795243296953629,-0.25725076621762355,-0.23876606069731565,-0.22515345904216133,-0.2144109666367342,-0.2056538688845535,-0.19833137260542344,-0.19210850829577453,-0.18672841145925645,-0.1820222860077081,-0.17785670370611228,-0.17414121006694927,-0.17080102280871756,-0.16776671609784444,-0.16500821085111284,-0.16234484658903625,-0.1601756105071388},
+{-0.9315302040877214,-0.5172575250614102,-0.3797486541481021,-0.3167240593406859,-0.27954122297424533,-0.2572737784753656,-0.23879341018314904,-0.22518407537359053,-0.21444382816051188,-0.2056882683181982,-0.19836685662818354,-0.1921448078844037,-0.18676533909649606,-0.18205968183642085,-0.17789443353228762,-0.17417918458784243,-0.17083917819789463,-0.16780500690654776,-0.16504659674689037,-0.16238325753479899,-0.16021400211150194},
+{-0.9312555886347695,-0.5171687198030668,-0.37972785457697,-0.3167287931101157,-0.27955832846453177,-0.2572969933338527,-0.23882095865516817,-0.22521488720170169,-0.21447688244595042,-0.2057228562711657,-0.1984025265429068,-0.19218129127176553,-0.18680244821516112,-0.1820972565452621,-0.17793233990457225,-0.17421733344087897,-0.17087750619876374,-0.1678434685933894,-0.16508515187760509,-0.16242183571392843,-0.1602525602375522},
+{-0.930981170733844,-0.5170801660470943,-0.3797072892407698,-0.3167337489185513,-0.27957564674622404,-0.2573204113897134,-0.2388487066666869,-0.2252458950580376,-0.21451013004113406,-0.20575763325692265,-0.1984383828643672,-0.19221795896416438,-0.18683973933696052,-0.1821350106163493,-0.17797042331076796,-0.1742556571096543,-0.1709160073041005,-0.16788210163537087,-0.1651238766994254,-0.1624605816036251,-0.16029128534623283},
+{-0.9307069510023354,-0.5169918643823905,-0.37968695874576497,-0.31673892736301923,-0.2795931784032746,-0.257344033229316,-0.23887665478019926,-0.22527709948616348,-0.21454357149272596,-0.20579259983347242,-0.198474426109982,-0.192254811502238,-0.18687721298022097,-0.18217294456260902,-0.17800868425268845,-0.17429415608017962,-0.17095468199207176,-0.16792090653066793,-0.16516277170700278,-0.16249949566193322,-0.1603301779201729},
+{-0.9304329300550904,-0.5169038154008945,-0.37966686369946956,-0.3167443290387837,-0.27961092402162535,-0.2573678594739306,-0.2389048035450969,-0.22530850101219357,-0.21457720735492103,-0.20582775651755014,-0.19851065679239355,-0.19229184937256605,-0.18691486964823412,-0.1822110588569501,-0.17804712320977956,-0.17433283081524564,-0.17099353073487578,-0.1679598837080789,-0.16520183733453564,-0.16253857833558527,-0.16036923837899053},
+{-0.9301591085093577,-0.5168160196909355,-0.3796470047128935,-0.31674995453846577,-0.2796288841903163,-0.2573918907182531,-0.23893315353018352,-0.2253401001964619,-0.21461103815855154,-0.20586310386264017,-0.1985470754295875,-0.19232907313511305,-0.18695270987831236,-0.18224935399658193,-0.178085740669502,-0.17437168184190455,-0.17103255403577577,-0.1679990336992887,-0.16524107407371957,-0.16257783011303673,-0.1604084672099475},
+{-0.9298854869829398,-0.5167284778514158,-0.37962738239838245,-0.3167558044689258,-0.27964705950736857,-0.25741612756462473,-0.23896170529351934,-0.22537189757014175,-0.21464506446969267,-0.20589864241284772,-0.1985836825604963,-0.1923664832974623,-0.18699073417900536,-0.1822878304730864,-0.17812453713818854,-0.17441070963295147,-0.17107175236452576,-0.16803835695918679,-0.1652804823931433,-0.16261725143397143,-0.1604478648756924},
+{-0.9296120660980876,-0.5166411904743313,-0.37960799737305706,-0.31676187942537126,-0.27966545055502934,-0.25744057062206593,-0.23899045940785868,-0.22540389368808178,-0.2146792868502132,-0.20593437270957793,-0.19862047870677202,-0.19240408040286638,-0.18702894308120221,-0.18232648879535418,-0.17816351311029166,-0.17444991470313198,-0.17111112622023938,-0.16807785397958241,-0.1653200627627598,-0.16265684278243953,-0.16048743181806913},
+{-0.9293388464747494,-0.5165541581582147,-0.3795888502514515,-0.31676818001346874,-0.2796840579338209,-0.25746522048422094,-0.23901941643305236,-0.2254360890825069,-0.21471370582381155,-0.2059702952978455,-0.1986574643849508,-0.19244186495910753,-0.18706733709785794,-0.18236532945792305,-0.1782026690756311,-0.17448929750815978,-0.17115067608730783,-0.16811752523318546,-0.16535981566539704,-0.1626966046222833,-0.16052716849836202},
+{-0.9290658287351619,-0.5164673815052083,-0.3795699416528464,-0.3167747068409881,-0.27970288223681905,-0.2574900777779021,-0.2390485769318218,-0.22546848431866806,-0.21474832198151717,-0.2060064107263031,-0.1986946401288492,-0.19247983751435527,-0.18710591675110777,-0.18240435296277724,-0.17824200553627634,-0.17452885858753575,-0.17119040244824646,-0.16815737121930852,-0.16539974157390702,-0.1627365374206704,-0.16056707536324666},
+{-0.9287930135040483,-0.516380861114925,-0.3795512721989951,-0.3167814605044157,-0.27972192406619456,-0.25751514309550316,-0.2390779414767792,-0.22550107992455537,-0.21478313583853037,-0.20604271953828857,-0.1987320064559981,-0.19251799857167384,-0.18714468254961503,-0.18244355978711724,-0.17828152296658573,-0.17456859840055472,-0.17123030578807175,-0.16819739237854492,-0.16543984095241626,-0.1627766416370946,-0.16060715284422145},
+{-0.9285204014070985,-0.5162945975946798,-0.37953284251423725,-0.3167884416211564,-0.2797411840207644,-0.25754041705647523,-0.23910751063965563,-0.22553387647070622,-0.2148181479934408,-0.2060792223090857,-0.19876956391917133,-0.19255634869927007,-0.18718363505206526,-0.18248295046822705,-0.1783212218911956,-0.17460851748731443,-0.17127038660584049,-0.16823758925690413,-0.1654801142877318,-0.1628169177580503,-0.1606474014149626},
+{-0.9282479930697178,-0.5162085915470698,-0.37951465322331046,-0.31679565080315797,-0.2797606626988909,-0.25756590027251036,-0.23913728497896614,-0.22556687448724233,-0.21485335897267532,-0.20611591956645725,-0.19880731303240395,-0.1925948883954618,-0.187222774741997,-0.18252252549123682,-0.1783611027904044,-0.17464861632367956,-0.1713106453872797,-0.1682779623067745,-0.16552056206055,-0.1628573662531494,-0.16068782150273364},
+{-0.927975789120211,-0.5161228435797796,-0.3794967049533966,-0.31680308865591655,-0.27978036070305734,-0.25759159334035076,-0.23916726508338115,-0.22560007454092101,-0.2148887693574295,-0.20615281187789947,-0.19884525434085276,-0.19263361821242597,-0.18726210218184747,-0.18256228535992136,-0.1784011661757745,-0.17468889542206512,-0.17135108262621657,-0.16831851201413883,-0.16556118474846926,-0.16289798759183327,-0.1607284135512259},
+{-0.9277037901879623,-0.5160373543043022,-0.3794789983346334,-0.3168107558007591,-0.2798002786467464,-0.25761749688987834,-0.2391974515124673,-0.22563347718087812,-0.2149243796989424,-0.20618989980360425,-0.19888338837776587,-0.19267253866757983,-0.18730161786047006,-0.18260223058820202,-0.17844141252905388,-0.1747293552883491,-0.17139169880746863,-0.16835923886574733,-0.1656019828346018,-0.16293878225161507,-0.16076917800612023},
+{-0.9274319969051561,-0.5159521243314487,-0.37946153400019966,-0.31681865284443234,-0.2798204171275813,-0.2576436115298577,-0.23922784484420845,-0.22566708296022853,-0.2149601905651366,-0.2062271838925085,-0.19892171567516925,-0.1927116503165962,-0.1873413223297007,-0.18264236168775483,-0.17848184236100906,-0.1747699964323317,-0.17143249445510378,-0.16840014336679587,-0.16564295680069563,-0.16297975074093074,-0.16081011530965839},
+{-0.9271604099007504,-0.5158671542758668,-0.37944431257994893,-0.31682678041488543,-0.2798407767617448,-0.2576699378737999,-0.2392584456636655,-0.22570089243839675,-0.21499620251435658,-0.20626466472003813,-0.19896023677014796,-0.19275095367027006,-0.18738121609877112,-0.18268267915954084,-0.1785224561625398,-0.17481081935591192,-0.17147347001741764,-0.1684412259903354,-0.16568410712585546,-0.16302089349761673,-0.16085122588583545},
+{-0.9268890298102122,-0.5157824447532278,-0.3794273347139381,-0.3168351391247768,-0.2798613581555287,-0.25769647654249184,-0.23928925453168404,-0.22573490617122616,-0.215032416116685,-0.20630234284089966,-0.1989989522239739,-0.19279044928128997,-0.18742129969956522,-0.18272318351267813,-0.17856325444898857,-0.17485182456613302,-0.17151462603439427,-0.1684824872362185,-0.1657254343072907,-0.16306221103121743,-0.16089251018226491},
+{-0.9266178572677148,-0.5156979963825279,-0.37941060103980817,-0.3168437295996114,-0.27988216192107984,-0.25772322814273707,-0.23932027204588735,-0.22576912472163713,-0.21506883193532644,-0.20634021881025433,-0.1990378625579865,-0.192830137683643,-0.18746157366538796,-0.18276387526631765,-0.17860423771998057,-0.174893012592662,-0.17155596298206888,-0.16852392760040402,-0.16576693883561688,-0.16310370383439476,-0.1609339686465603},
+{-0.9263468929100469,-0.5156138097823089,-0.37939411219923613,-0.31685255246316046,-0.27990318867679775,-0.25775019331231874,-0.23935149876919581,-0.22580354864615515,-0.21510545054292152,-0.2063782932112872,-0.1990769683286544,-0.19287001941100357,-0.18750203851729452,-0.18280475493870085,-0.17864540647568106,-0.1749343839379094,-0.1715974813689627,-0.16856554756782316,-0.16580862118925666,-0.16314537238685034,-0.16097560170001657},
+{-0.9260761373732009,-0.5155298855730734,-0.37937786883239255,-0.3168616083371205,-0.2799244390357103,-0.25777737265818246,-0.23938293529351995,-0.22583817850266996,-0.21514227250898443,-0.2064165666001827,-0.19911627007749644,-0.192910094993465,-0.18754269478651509,-0.18284582303837738,-0.17868676121165095,-0.174975939102211,-0.17163918168711234,-0.1686073476255956,-0.16585048184936113,-0.1631872171786597,-0.16101740978390922},
+{-0.9258055912978023,-0.5154462243822877,-0.37936187158618395,-0.31687089785543776,-0.2799459136234361,-0.2578047668097554,-0.239414582205427,-0.22587301487246236,-0.2151792984084011,-0.2064550395530489,-0.19915576836368132,-0.19295036499570983,-0.1875835430084294,-0.18288708009507104,-0.1787283024480928,-0.175017678627313,-0.17168106445507192,-0.1686493282795425,-0.16589252133320542,-0.16322923869637407,-0.16105939334022423},
+{-0.9255352553227567,-0.5153628268325292,-0.37934612110464627,-0.31688042164122976,-0.2799676130490525,-0.2578323763877677,-0.2394464400696279,-0.22590805828937732,-0.21521652879494013,-0.20649371262118166,-0.19919546372454988,-0.1929908299278793,-0.18762458368505008,-0.18292852659760683,-0.17877003067434316,-0.1750596029990561,-0.17172313014893348,-0.16869149001121286,-0.16593474010821296,-0.1632714374374018,-0.16110155279594096},
+{-0.9252651300902954,-0.5152796935548452,-0.3793306180419336,-0.3168901803338713,-0.27998953794158865,-0.25786020200732196,-0.2394785095006,-0.22594330935234552,-0.21525396426827115,-0.2065325864053591,-0.19923535672424464,-0.19303149035360434,-0.18766581738304922,-0.18297016310810932,-0.17881194640821718,-0.17510171276580877,-0.17176537929998403,-0.16873383335024528,-0.16597713868887354,-0.16331381389579747,-0.1611438886141059},
+{-0.9249952162427064,-0.5151968251755932,-0.37931536304307656,-0.3169001745568778,-0.28001168891904626,-0.2578882443038424,-0.23951079106521433,-0.22597876861263444,-0.21529160538051428,-0.20657166145716133,-0.19927544790951401,-0.1930723468069857,-0.18770724461700183,-0.18301199011906988,-0.1788540501659952,-0.1751440084213982,-0.17180781240813303,-0.16877635877150965,-0.16601971757532397,-0.16335636857201052,-0.1611864012224089},
+{-0.9247255144255604,-0.51511422232943,-0.3793003567680273,-0.31691040494948197,-0.2800340666108241,-0.2579165039024929,-0.23954328535862146,-0.2260144366441068,-0.2153294527292644,-0.2066109383583239,-0.19931573784245415,-0.1931133998272685,-0.1877488659117148,-0.18305400817516215,-0.178896342445114,-0.17518649049739565,-0.17185042997871847,-0.16881906676903213,-0.1660624772511312,-0.1633991019647283,-0.16122909105945382},
+{-0.9244560252841012,-0.515031885650842,-0.379285599868183,-0.3169208721515133,-0.2800566716495041,-0.25794498143460487,-0.2395759929799226,-0.22605031401639053,-0.21536750687383233,-0.2066504176897297,-0.1993562270772884,-0.19315464995889897,-0.18779068180950276,-0.18309621777899565,-0.1789388237480125,-0.17522915950166862,-0.17189323251565725,-0.16886195784832125,-0.16610541820355706,-0.16344201453910046,-0.16127195856017806},
+{-0.9241867494652638,-0.5149498157743722,-0.37927109300289885,-0.31693157679922024,-0.28007950465490694,-0.2579736775269055,-0.23960891450661848,-0.22608640130479785,-0.21540576840399694,-0.2066901000189887,-0.19939691617636868,-0.1931960977493361,-0.18783269284335802,-0.18313861947322607,-0.17898149461080948,-0.17527201597022213,-0.17193622053181912,-0.1689050325271353,-0.16614854096133058,-0.1634851068461387,-0.1613150041886513},
+{-0.9239176876185411,-0.51486801333769,-0.379256836831928,-0.31694251953652497,-0.2801025662647305,-0.25800259280029536,-0.23964205054849685,-0.22612269908256621,-0.2154442378948147,-0.20672998593124703,-0.1994378057054007,-0.1932377437509274,-0.1878748995460171,-0.18318121378263186,-0.17902435553477858,-0.17531506041726175,-0.17197939455382993,-0.1689482912951803,-0.16619184603479198,-0.16352837935380649,-0.1613582283840458},
+{-0.9236488403940939,-0.5147864789823302,-0.37924283201769526,-0.31695370100339915,-0.2801258571059009,-0.2580317278991231,-0.23967540168393953,-0.2261592079228194,-0.21548291592304736,-0.20677007599761055,-0.19947889622096682,-0.19327958850180949,-0.18791730245430927,-0.18322400124407068,-0.17906740703347168,-0.17535829336645747,-0.17202275507699483,-0.1689917346465677,-0.16623533389130785,-0.16357183255769314,-0.16140163157842835},
+{-0.9233802084434188,-0.5147052133497425,-0.379229079223677,-0.31696512184538506,-0.28014937781625804,-0.25806108345133794,-0.23970896852392798,-0.2261959284096804,-0.21552180308023594,-0.20681037080919396,-0.19952018829619078,-0.19332163254986767,-0.18795990210296054,-0.18326698238067252,-0.17911064962490286,-0.17540171532971272,-0.1720663026315492,-0.16903536309817468,-0.16627900506696847,-0.16361546698129814,-0.16144521423848346},
+{-0.9231117924185099,-0.5146242170857818,-0.37921557911721493,-0.31697678270927554,-0.28017312903224934,-0.25809066009014714,-0.23974275165420522,-0.2262328611147666,-0.2155608999342462,-0.20685087093801258,-0.19956168248819495,-0.19336387643804187,-0.1880026990209558,-0.18331015772341175,-0.17915408381816178,-0.17544532684124192,-0.17211003770330535,-0.16907917715187182,-0.1663228600529294,-0.16365928308829325,-0.16148897679337892},
+{-0.9228435929749139,-0.5145434908343987,-0.37920233236741296,-0.31698868424373927,-0.2801971113956654,-0.25812045846012666,-0.2397767516915792,-0.2262700066329728,-0.21560020709750916,-0.20689157697938754,-0.1996033793926415,-0.19340632074352015,-0.1880456937648205,-0.18335352781815573,-0.17919771015814945,-0.17548912844156916,-0.1721539608546152,-0.1691231773203299,-0.16636689936763105,-0.1637032814339534,-0.16153291971377826},
+{-0.9225756107684191,-0.5144630352448019,-0.3791893396451087,-0.3170008270993776,-0.280221325539145,-0.25815047918075607,-0.23981096923390055,-0.22630736552738995,-0.2156397251154658,-0.20693248950794896,-0.19964527955582412,-0.19344896600026118,-0.18808888685848046,-0.18339709320309794,-0.1792415291581051,-0.17553312062634063,-0.17219807257964703,-0.16916736411721445,-0.1664111235279222,-0.16374746248959582,-0.16157704344584545},
+{-0.9223078464556949,-0.5143828509683885,-0.3791766016217366,-0.3170132119316804,-0.2802457721097369,-0.2581807229094579,-0.23984540486972605,-0.226344938405731,-0.21567945461163163,-0.20697360911935903,-0.19968738356666904,-0.19349181277328853,-0.18813227885084416,-0.1834408544131918,-0.17928554134320507,-0.17557730395614612,-0.17224237340144555,-0.16921173803297052,-0.16645553304635996,-0.1637918267664702,-0.16162134844117304},
+{-0.9220403006961675,-0.5143029386586022,-0.37916411897202806,-0.31702583939002693,-0.2802704517513348,-0.2582111902694635,-0.2398800592201269,-0.22638272583390062,-0.2157193961355972,-0.2070149363838425,-0.199729691983066,-0.1935348615861585,-0.18817587025651505,-0.18348481196602506,-0.17932974721509254,-0.1756216789144105,-0.17228686382381397,-0.16925629958950594,-0.16650012840779027,-0.16383637476349122,-0.16166583514350918},
+{-0.921772974151267,-0.5142232989685169,-0.37915189237833147,-0.3170387101386609,-0.2802953651083442,-0.2582418819173995,-0.23991493289682353,-0.2264207284194697,-0.21575955031141802,-0.2070564719140009,-0.19977220540496887,-0.193578113043543,-0.18821966165694448,-0.18352896643941108,-0.17937414733683,-0.1756662460738312,-0.17233154439963982,-0.16930104930773382,-0.1665449101764125,-0.16388110700808056,-0.16171050404915377},
+{-0.9215058674809029,-0.5141439325548163,-0.3791399225169698,-0.31705182483108274,-0.2803205128287516,-0.25827279848257945,-0.23995002648615582,-0.22645894673587463,-0.21579991769871754,-0.20709821627343672,-0.19981492439990234,-0.19362156767218153,-0.18826365355980101,-0.18357331835153445,-0.17941874221179432,-0.1757110059473348,-0.17237641563104944,-0.16934598769404374,-0.1665898788337472,-0.16392602398963163,-0.16175535557661647},
+{-0.9212389813504132,-0.5140648400784187,-0.3791282100683304,-0.3170651841246297,-0.28034589556159517,-0.25830394061387096,-0.2399853406248269,-0.22649738139256215,-0.2158404989017697,-0.20714017007918528,-0.19985784955886743,-0.193665226044601,-0.1883078465236281,-0.1836178682520142,-0.17946353239224777,-0.17575595905907448,-0.1724214780411728,-0.16939111526662032,-0.16663503490974563,-0.16397112624491683,-0.16180039021864445},
+{-0.9209723164228478,-0.5139860221966899,-0.3791167557182007,-0.31707878869246997,-0.2803715139546057,-0.25833530894962564,-0.24002087590281462,-0.22653603296993197,-0.2158812945044417,-0.2071823338960712,-0.19990098144918989,-0.1937090887176396,-0.18835224108744342,-0.18366261668927564,-0.17950851839353277,-0.1758011059440605,-0.17246673216263275,-0.1694364325299489,-0.16668037892236498,-0.16401641425744629,-0.1618456084277966},
+{-0.9207058733656623,-0.5139074795763179,-0.37910556015205543,-0.3170926391858302,-0.2803973686653194,-0.2583669041430312,-0.2400566329458229,-0.22657490206958641,-0.21592230510177046,-0.20722470833177908,-0.19994432066656032,-0.19375315625987355,-0.18839683780618088,-0.18370756421117562,-0.17955370077041266,-0.1758464471364789,-0.17251217852546574,-0.16948194001977868,-0.16672591140093118,-0.16406188857607162,-0.16189101068536615},
+{-0.9204396528471506,-0.5138292128819728,-0.37909462405866634,-0.3171067362813744,-0.280423460349283,-0.2583987268442911,-0.2400926123779925,-0.22661398929443521,-0.2159635312799537,-0.2072672939877407,-0.19998786779805755,-0.19379742923879917,-0.18844163721030327,-0.18375271135471394,-0.17959908004561953,-0.17589198316068178,-0.1725578176426552,-0.16952763825685224,-0.1667716328515212,-0.1641075496779365,-0.16193659745789546},
+{-0.92017365553437,-0.5137512227796321,-0.37908394812708934,-0.317121080642238,-0.2804497896582916,-0.2584307776938033,-0.24012881479598036,-0.22665329523027822,-0.21600497362507554,-0.2073100914372219,-0.20003162342160863,-0.19384190821139669,-0.1884866398453937,-0.18379805867155596,-0.17964465676561758,-0.17593771456586182,-0.17260365004744926,-0.16957352774159062,-0.16681754381136216,-0.16415339810455976,-0.16198236921675857},
+{-0.9199078821002331,-0.5136735099390819,-0.37907353305172364,-0.31713567293908795,-0.2804763572505067,-0.2584630573336142,-0.24016524083882018,-0.22669282049827189,-0.21604663274322888,-0.20735310129037998,-0.20007558813966853,-0.19388659376335227,-0.18853184627445785,-0.18384360672220623,-0.17969043147550678,-0.1759836418785028,-0.1726496762818499,-0.1696196090321962,-0.16686364480003135,-0.16419943437148277,-0.16202832647746845},
+{-0.9196423332170127,-0.5135960750319839,-0.3790633795264,-0.3171505138476789,-0.2805031637865625,-0.2584955664292181,-0.24020189110893853,-0.22673256569464684,-0.2160885092141882,-0.20739632413784648,-0.20011976253459807,-0.19393148646159375,-0.18857725702218886,-0.18388935604136236,-0.1797364047135943,-0.17602976564080564,-0.17269589685577103,-0.1696658826151065,-0.16690993634597362,-0.1642456589964354,-0.16207446969113448},
+{-0.9193770095562002,-0.5135189187329274,-0.37905348824787666,-0.3171656040387347,-0.2805302099294238,-0.25852830563150064,-0.24023876624767126,-0.22677253142327913,-0.21613060364529701,-0.20743976057707414,-0.20016414720376474,-0.19397658687222474,-0.18862287265793043,-0.1839353071900689,-0.17978257702762335,-0.17607608637791827,-0.17274231231152726,-0.16971234904906396,-0.16695641896333768,-0.16429207248893363,-0.16212079934297208},
+{-0.9191119117973159,-0.513442041719884,-0.3790438599185393,-0.3171809441928133,-0.2805574963497577,-0.2585612755960085,-0.24027586687756752,-0.2268127183019999,-0.21617291662178673,-0.2074834112172539,-0.20020874273720324,-0.1940218955872126,-0.18866869373869122,-0.18398146072541977,-0.17982894897417623,-0.17612260463724283,-0.1727889231773645,-0.16975900883369377,-0.16700309319483608,-0.16433867538754043,-0.16216731595363854},
+{-0.9188470406148781,-0.5133654446667322,-0.37903449523196286,-0.31719653498046796,-0.2805850236972276,-0.25859447696274174,-0.24031319360577186,-0.22685312692598814,-0.21621544873360676,-0.20752727662991788,-0.20025354973577691,-0.194067413157768,-0.18871472078555485,-0.18402781717838934,-0.17987552108189675,-0.17616932096854043,-0.1728357299851666,-0.16980586251423802,-0.167049959560444,-0.16438546819256317,-0.16221401999695217},
+{-0.918582396687782,-0.5132891282555931,-0.37902539490184495,-0.31721237709035677,-0.28061279264952077,-0.25862791039517674,-0.2403507470888826,-0.22689375793592603,-0.2162582005981335,-0.20757135745347455,-0.2002985687971659,-0.19411314020626946,-0.18876095437516938,-0.18407437713287322,-0.17992229393956904,-0.1762162358953958,-0.1728827332749745,-0.16985291063713248,-0.16709701861617532,-0.1644324514416553,-0.16226091199195025},
+{-0.9183179806959743,-0.5132130931685595,-0.3790165596225563,-0.31722847120289543,-0.2806408038790096,-0.25866157655451616,-0.24038852793373167,-0.22693461191923348,-0.21630117280727745,-0.20761565426761308,-0.2003438005189082,-0.19415907730063964,-0.18880739506232658,-0.1841211411318966,-0.1799692680756948,-0.17626334998567472,-0.1729299335756025,-0.16990015371794698,-0.16714427087237027,-0.16447962566621754,-0.1623079924454487},
+{-0.9180537933221302,-0.5131373400916459,-0.3790079901102956,-0.31724481799741966,-0.2806690580396207,-0.25869547609946153,-0.24042653678210968,-0.22697568950809455,-0.21634436594655426,-0.207660167666603,-0.20038924549888293,-0.19420522501090431,-0.18885404339567913,-0.18416810972490794,-0.18001644404867534,-0.17631066375713544,-0.17297733143544747,-0.1699475922999909,-0.16719171684729872,-0.16452699137033733,-0.16235526184044602},
+{-0.9177898352489677,-0.5130618697129137,-0.3789996870741277,-0.3172614181657991,-0.28069755582816924,-0.2587296096889986,-0.24046477427566515,-0.22701699131781083,-0.21638778063075392,-0.207704898275324,-0.2004349043459399,-0.194251583940229,-0.1889008999300188,-0.18421528347235494,-0.18006382242575114,-0.1763581777629213,-0.17302492737914577,-0.16999522689775404,-0.16723935709575244,-0.16457454906043267,-0.1624027206995038},
+{-0.9175261071601852,-0.5129866827204808,-0.37899165122124145,-0.3172782723910643,-0.2807262978946028,-0.25876397798580797,-0.24050324103609455,-0.227058517974001,-0.2164314174627009,-0.2077498466814518,-0.20048077765179073,-0.19429815467543676,-0.18894796522940283,-0.18426266293226945,-0.18011140376393087,-0.17640589256978956,-0.17307272196737244,-0.17004305808433173,-0.16728719215740284,-0.16462229930141348,-0.16245036954097714},
+{-0.9172626097446823,-0.5129117798029199,-0.3789838832728094,-0.3172953813689219,-0.2807552849372996,-0.25879858164006464,-0.24054193771769405,-0.22710027010637646,-0.21647527703541414,-0.207795013499549,-0.20052686603639813,-0.19434493781372453,-0.1889952398666992,-0.18431024867700785,-0.18015918863247293,-0.17645380870376925,-0.17312071571120669,-0.17009108639234682,-0.16733522256379274,-0.1646702425845774,-0.16249820888862132},
+{-0.9169993436891986,-0.5128371616572167,-0.3789763839393743,-0.31731274579303204,-0.28078451760930534,-0.2588334213292569,-0.24058086494201802,-0.22714224832944296,-0.2165193599626889,-0.20784039932604514,-0.20057317008667042,-0.19439193394430276,-0.1890427243755255,-0.18435804123905086,-0.18020717758045635,-0.1765019267320156,-0.17316890916896455,-0.17013931233975654,-0.16738344883617629,-0.16471837944220624,-0.1625462392443069},
+{-0.9167363096822214,-0.5127628289754966,-0.3789691539410853,-0.31733036634543055,-0.2808139966065255,-0.2588684977094431,-0.24062002336322053,-0.227184453276152,-0.21656366684868544,-0.20788600476194574,-0.20061969042563987,-0.19443914366502213,-0.1890904193386973,-0.18440604120252146,-0.18025537118737134,-0.17655024718726509,-0.17321730288580284,-0.17018773650306684,-0.16743187153809913,-0.1647667104113566,-0.16259446115435594},
+{-0.9164735084165159,-0.5126887824624475,-0.37896219400036557,-0.3173482437317148,-0.28084372260690316,-0.2589038114533082,-0.2406594136159299,-0.22722688558468462,-0.21660819829926936,-0.20793183042354713,-0.2006664276474055,-0.19448656756836158,-0.18913832531634966,-0.18445424910495944,-0.18030376999740838,-0.1765987706372698,-0.17326589738866005,-0.17023635939392534,-0.16748049118876907,-0.16481523599577486,-0.16264287510875874},
+{-0.9162109405847758,-0.5126150228123265,-0.37895550483941065,-0.31736637865600414,-0.28087369629758996,-0.25893936322563604,-0.24069903635466972,-0.22726954588441117,-0.2166529549355971,-0.20797787692615088,-0.20071338237872283,-0.19453420627831974,-0.18918644287390407,-0.18450266551985806,-0.18035237461720044,-0.17664749764469434,-0.1733146932466525,-0.1702851815968529,-0.16752930834582003,-0.16486395673410925,-0.1626914816612839},
+{-0.915948606881372,-0.5125415507285993,-0.37894908718271836,-0.3173847718025229,-0.2809039183539994,-0.2589751536914662,-0.2407388922275402,-0.2273124348069473,-0.21669793735381404,-0.20802414486419707,-0.2007605552140035,-0.19458206037819537,-0.18923477257789045,-0.18455129101602097,-0.18040118558110407,-0.17669642874210467,-0.17336369098330806,-0.17033420364219864,-0.16757832354198854,-0.1649128731466476,-0.16274028133256024},
+{-0.9156865080014001,-0.5124683669183696,-0.37894294175777077,-0.3174034238906529,-0.28093438947001914,-0.259011183530248,-0.24077898187681512,-0.2273555530063902,-0.2167431461990077,-0.208070634852902,-0.20080794678290204,-0.19463013048726907,-0.18928331501319917,-0.18460012615508958,-0.18045020349455854,-0.17674556452527668,-0.173412891170301,-0.17038342607861523,-0.16762753732456304,-0.16496198576953702,-0.16278927465765491},
+{-0.9154246446431955,-0.5123954720854158,-0.3789370692897478,-0.31742233561254807,-0.28096511032447324,-0.25904745339650503,-0.24081930595207268,-0.22739890110364058,-0.21678858204509766,-0.20811734749051425,-0.200855557677869,-0.19467841719475132,-0.1893320707218038,-0.1846491714811691,-0.18049942889189197,-0.17679490550625587,-0.17346229433525195,-0.1704328494718652,-0.16767695023287388,-0.1650112951222127,-0.16283846214798814},
+{-0.9151630175070125,-0.512322866944686,-0.37893147052017184,-0.3174415076796038,-0.2809960816218222,-0.25908396398327227,-0.24085986512122304,-0.22744247976004317,-0.2168342455530876,-0.20816428342146764,-0.2009033885363749,-0.19472692112697132,-0.1893810403121563,-0.18469842757258448,-0.1805488623734277,-0.17684445229201629,-0.173511901046993,-0.17048247436315478,-0.1677265628199507,-0.16506080172860038,-0.16288784435494108},
+{-0.9149016272937018,-0.512250552203227,-0.378926146173967,-0.31746094080023113,-0.28102730403892906,-0.2591207159570388,-0.24090066002244725,-0.22748628961042527,-0.21688013731534284,-0.20821144321647012,-0.20095143996093157,-0.19477564288678195,-0.1894302243270829,-0.18474789499049393,-0.18059850449975556,-0.17689420542700418,-0.17356171184400182,-0.17053230131949704,-0.16777637563632197,-0.16511050614610667,-0.16293742179647097},
+{-0.9146404747051093,-0.5121785285763281,-0.37892109699032517,-0.3174806356800559,-0.2810587782850007,-0.2591577099778988,-0.24094169132305865,-0.2275303313113568,-0.21692625797342657,-0.20825882751688596,-0.20099971257488392,-0.19482458308343098,-0.18947962336105206,-0.1847975743116308,-0.18064835586096706,-0.17694416546629554,-0.17361172727925123,-0.17058233088755514,-0.16782638920341242,-0.16516040887796635,-0.1629871950038364},
+{-0.914379560445667,-0.5121067967783688,-0.3789163237065907,-0.31750059303814737,-0.2810905050340864,-0.259194946738063,-0.2409829596739428,-0.22757460550286623,-0.2169726081254737,-0.20830643691613204,-0.20104820698304593,-0.19487374233207788,-0.18952923797644416,-0.18484746608407931,-0.18069841701338873,-0.176994332988329,-0.17366194790764666,-0.1706325636267252,-0.16787660409323735,-0.16521051046981938,-0.16303716452307526},
+{-0.9141188852212139,-0.5120353575317722,-0.37891182706073323,-0.31752081358084183,-0.2811224850028964,-0.2592324269189703,-0.24102446575022896,-0.22761911285527958,-0.2170191884378596,-0.20835427205781798,-0.20109692383584843,-0.1949231212522875,-0.18957906877977848,-0.1848975708937246,-0.1807486885650178,-0.17704470855829868,-0.17371237430359088,-0.17068300011811743,-0.1679270208546768,-0.16526081147833338,-0.16308733088328609},
+{-0.9138584497400046,-0.5119642115523106,-0.37890760779822585,-0.31754129803036335,-0.28115471887375065,-0.2592701511802602,-0.2410662102000174,-0.22766385400004197,-0.2170659995080655,-0.20840233352200244,-0.2011458637226724,-0.19497272045387604,-0.1896291163311048,-0.18494788929939432,-0.1807991710725787,-0.17709529274628721,-0.1737630070148839,-0.17073364090265386,-0.1679776400375772,-0.16531131242010133,-0.16313769463215522},
+{-0.91359825471271,-0.5118933595701662,-0.3789036666628931,-0.31756204710532643,-0.28118720735864144,-0.2593081202254268,-0.24110819369735736,-0.22770882961947336,-0.21711304197813774,-0.20845062195130026,-0.20119502728812222,-0.1950225405572894,-0.18967938121107863,-0.18499842186679416,-0.18084986512315027,-0.1771460861147034,-0.17381384657960552,-0.17078448654314116,-0.16802846217655087,-0.16536201383974003,-0.16318825629173261},
+{-0.913338300847272,-0.5118228023048914,-0.3789000044035049,-0.31758306152693194,-0.28121995116021026,-0.2593463347160423,-0.24115041691524652,-0.22775404036588043,-0.21716031648153944,-0.20849913795782982,-0.20124441514496993,-0.195072582182803,-0.18972986402013703,-0.185049169180445,-0.18090077129255633,-0.17719708923493727,-0.17386489359006418,-0.17083553761750636,-0.16807948783610982,-0.16541291628453791,-0.16323901641470684},
+{-0.9130785888584114,-0.5117525404877199,-0.3788966217640848,-0.3176043420183987,-0.2812529509714068,-0.2593847953497459,-0.2411928805085779,-0.2277994869096176,-0.21720782365670743,-0.20854788215240205,-0.20129402793494933,-0.1951228459489016,-0.18978056533404697,-0.1851001318053136,-0.1809518901715137,-0.17724830269457925,-0.17391614859207039,-0.17088679467161683,-0.16813071757252374,-0.16546402031303842,-0.1632899755520043},
+{-0.9128191194601811,-0.511682574846958,-0.37889351949732486,-0.31762588929876756,-0.2812862075037401,-0.25942350280536175,-0.24123558515907462,-0.22784516990239467,-0.21725556413304048,-0.20859685515708293,-0.20134386626099854,-0.19517333246301405,-0.18983148574557163,-0.18515131031182364,-0.18100322233919997,-0.17729972704307784,-0.17396761215383094,-0.17093825829067555,-0.16818215191790387,-0.16551532645718225,-0.1633411342340878},
+{-0.9125598933699735,-0.5116129061199786,-0.37889069836234057,-0.3176477040991017,-0.28131972147545525,-0.2594624577802733,-0.24127853155090406,-0.22789109003139174,-0.21730353856153783,-0.20864605760698396,-0.20139393077940326,-0.1952240423678404,-0.1898826258394024,-0.185202705279778,-0.18105476837865808,-0.17735136287382147,-0.1740192848484412,-0.17098992903049748,-0.16823379145307626,-0.16556683528278882,-0.16339249302825465},
+{-0.9123009113035891,-0.5115435350345479,-0.37888815910110907,-0.3176697871440979,-0.28135349357143014,-0.25950166093889493,-0.24132172032966537,-0.2279372479399342,-0.21735174756216225,-0.20869549009310617,-0.20144422209099844,-0.19527497626239665,-0.18993398620318658,-0.18525431727937303,-0.18110652886963408,-0.17740321075075371,-0.17407116722995397,-0.17104180746923703,-0.16828563671714392,-0.16561854734203507,-0.16344405247809846},
+{-0.9120421739795717,-0.5114744623319325,-0.378885902486644,-0.317692139176728,-0.28138752452477434,-0.2595411129895524,-0.24136515219748844,-0.22798364433757,-0.21740019179821957,-0.20874515326559617,-0.20149474086173313,-0.19532613479390193,-0.1899855674426476,-0.18530614690388347,-0.18115850441017756,-0.1774552712475952,-0.17412325988607336,-0.17109389418288856,-0.16833768826768392,-0.16567046319585188,-0.16349581314199213},
+{-0.9117836821239109,-0.5114056887520917,-0.3788839292644752,-0.3177147609135602,-0.28142181503605457,-0.25958081460703397,-0.24140882782970152,-0.2280302798809828,-0.2174488719009844,-0.20879504773833446,-0.2015454877031857,-0.19537751858359798,-0.19003737014747912,-0.18535819472532467,-0.18121069559458647,-0.17750754496665877,-0.17417556337608175,-0.17114618972846074,-0.16838994666733242,-0.16572258341790302,-0.16354777558353817},
+{-0.9115254364546104,-0.5113372150337341,-0.3788822402050869,-0.3177376530935021,-0.28145636580819655,-0.25962076649594223,-0.24145274789944438,-0.22807715525200933,-0.21749778852552026,-0.20884517412417836,-0.20159646326999336,-0.19542912823192182,-0.19008939491794763,-0.18541046132804695,-0.18126310299203396,-0.17756003246086038,-0.1742280782875696,-0.17119869469706828,-0.1684424124662769,-0.1657749085593423,-0.16359994035724412},
+{-0.9112674376995926,-0.5112690419311434,-0.37888083607151657,-0.31776081646378884,-0.2814911775869007,-0.2596609693500227,-0.24149691310873322,-0.22812427113692024,-0.21754694229863958,-0.20889553307367237,-0.20164766818049884,-0.19548096438086304,-0.1901416423424962,-0.18546294728287194,-0.18131572719374844,-0.1776127343031817,-0.174280805180274,-0.17125140964009233,-0.1684950862170922,-0.16582743917848575,-0.16365230800585095},
+{-0.9110096865836539,-0.5112011701828862,-0.37887971762586403,-0.3177842517538636,-0.28152625106957885,-0.2597014238616282,-0.24154132412675722,-0.22817162821851866,-0.21759633389294208,-0.2089461252034539,-0.20169910308118233,-0.19553302765717717,-0.19019411303048628,-0.18551565318847452,-0.18136856879687002,-0.17766565111122645,-0.17433374463672635,-0.1713043351567194,-0.16854796849816012,-0.16588017588497905,-0.1637048791242819},
+{-0.9107521838361379,-0.5111336005377893,-0.37887888564435457,-0.3178079597148269,-0.28156158698175204,-0.2597421307179957,-0.24158598166044953,-0.22821922719035115,-0.21764596394072555,-0.20899695112788663,-0.20175076862159358,-0.19558531869085982,-0.19024680758485601,-0.18556857963966422,-0.18142162840285891,-0.177718783437399,-0.17438689724571077,-0.1713574718179416,-0.16860105985171003,-0.1659331192182094,-0.16375765424606925},
+{-0.9104949301879657,-0.5110663337524102,-0.37887834088695627,-0.31783194107853774,-0.28159718603819783,-0.25978309062517724,-0.24163088637592978,-0.22826706872606906,-0.21769583310009466,-0.20904801148907382,-0.20180266542939762,-0.19563783810241375,-0.19029972660536032,-0.18562172721470915,-0.18147490657980825,-0.17777213188315955,-0.174440263578731,-0.17141082019554688,-0.16865436084930252,-0.16598626978094444,-0.16381063396306672},
+{-0.9102379263687226,-0.5109993705777072,-0.37887808413216817,-0.31785619659387976,-0.2816330489617087,-0.25982430427973213,-0.2416760389852186,-0.22831515353394138,-0.21774594201929176,-0.20909930690982037,-0.20185479416727503,-0.1956905865134786,-0.1903528707057376,-0.1856750965014271,-0.181528403946686,-0.17782569701256534,-0.17449384422945968,-0.17146438086928129,-0.16870787204800308,-0.16603962814554052,-0.16386381883057766},
+{-0.9099811731122145,-0.5109327117732221,-0.37887811615252076,-0.3178807270106745,-0.2816691764863606,-0.25986577238714403,-0.24172144017566666,-0.22836348230597991,-0.2177962913514193,-0.20915083802805157,-0.20190715546988258,-0.19574356455979114,-0.19040624048756172,-0.1857286881032678,-0.18158212108403404,-0.17787947943236304,-0.17454763977877974,-0.17151815443236273,-0.16876159400084134,-0.1660931948997586,-0.16391720942095844},
+{-0.909724671154791,-0.5108663580943471,-0.37887843772998053,-0.3179055330815004,-0.28170556932840896,-0.2599074956489176,-0.2417670906445153,-0.228412055734168,-0.21784688174781763,-0.2092026054717735,-0.20195974999137434,-0.19579677287549657,-0.19045983655439613,-0.1857825026103228,-0.181636058590243,-0.1779334797225829,-0.1746016508068351,-0.17157214145493072,-0.16881552728335691,-0.16614697062192363,-0.16397080629764105},
+{-0.9094684212339814,-0.5108003103058252,-0.37887904963886854,-0.31793061555578106,-0.2817422282276141,-0.2599494747584288,-0.24181299109639554,-0.22846087452862207,-0.217897713861106,-0.2092546098736534,-0.20201257838368747,-0.19585021208217768,-0.1905136595353838,-0.18583654063303356,-0.1816902170652952,-0.17798769847547646,-0.1746558779178713,-0.17162634253452325,-0.16886967245852702,-0.16620095591554218,-0.1640246100471927},
+{-0.9092124240874,-0.5107345691707792,-0.3788799526614639,-0.3179559751873171,-0.281779153902022,-0.2599917104422218,-0.24185914222451288,-0.228509939390932,-0.21794878835879672,-0.2093068518715313,-0.20206564129466642,-0.19590388282159665,-0.19056771003238282,-0.1858908027614916,-0.18174459711588042,-0.17804213628579646,-0.17471032170010403,-0.1716807582358797,-0.16892403009541113,-0.16625515136217928,-0.16407862123406858},
+{-0.9089566804563418,-0.5106691354555153,-0.37888114757743097,-0.31798161272828906,-0.28181634708028014,-0.26003420338341243,-0.24190554472906456,-0.2285592510094716,-0.21800010587639918,-0.20935933209091218,-0.20211893938011372,-0.19595778569737377,-0.19062198865265145,-0.18594528959931722,-0.18179919932833855,-0.17809679371845277,-0.17476498273197194,-0.17173538916307507,-0.1689786007303269,-0.16630955756289723,-0.16413284043107979},
+{-0.9087011910837504,-0.5106040099323366,-0.37888263518149756,-0.31800752894261564,-0.2818538085098794,-0.2600769543085448,-0.24195219933378098,-0.22860881011638412,-0.21805166708651313,-0.20941205118674588,-0.2021724732925918,-0.1960119213712801,-0.1906764960366445,-0.18600000175604237,-0.18185402431703324,-0.1781516713950282,-0.1748198616351715,-0.17179023588840892,-0.16903338497161258,-0.16636417511853097,-0.1641872682137091},
+{-0.9084459567145302,-0.5105391933685439,-0.37888441625494806,-0.31803372459424395,-0.28189153891682395,-0.26011996392844594,-0.24199910672101055,-0.2286586174049603,-0.21810347264101893,-0.20946500978220683,-0.20222624369489495,-0.1960662904622268,-0.19073123278752746,-0.18605493984426857,-0.18190907267853618,-0.17820676990606898,-0.17487495899189298,-0.17184529901726364,-0.16908838337155885,-0.16641900463525872,-0.1642419051617594},
+{-0.9081909780937565,-0.5104746865392826,-0.37888649159035026,-0.3180602004389641,-0.2819295390383445,-0.2601632329371171,-0.2420462676174111,-0.22870867359762315,-0.2181555231957759,-0.20951820852536684,-0.2022802512435078,-0.1961208935981631,-0.1907861995303506,-0.1861101044738689,-0.1819643450207309,-0.1782620898406435,-0.17493027540319872,-0.17190057912512202,-0.16914359649609878,-0.16647404671385857,-0.1642967518460523},
+{-0.9079362559682949,-0.5104104902210622,-0.3788888619803572,-0.31808695724339486,-0.281967809613235,-0.2602067620600792,-0.2420936827183766,-0.22875897940082268,-0.21820781940743927,-0.2095716480446299,-0.20233449659446023,-0.19617573141516687,-0.19084139688141022,-0.18616549624232448,-0.18201984195036403,-0.1783176317905486,-0.17498581146674042,-0.17195607679911973,-0.16919902491008543,-0.1665293019539149,-0.1643518088375231},
+{-0.9076817910919175,-0.5103466051949681,-0.37889152821657035,-0.3181139957714265,-0.282006351377305,-0.26025055201643,-0.24214135274903015,-0.22880953554013672,-0.2182603619403949,-0.2096253290062009,-0.20238898042077835,-0.19623080456221942,-0.1908968254795127,-0.18622111579350076,-0.18207556408674463,-0.17837339636508887,-0.17504156780069025,-0.17201179265202882,-0.1692546691938901,-0.16658477098559388,-0.16440707674047417},
+{-0.9074275842139485,-0.5102830322427678,-0.3788944910966734,-0.3181413168040308,-0.2820451650821667,-0.2602946035193554,-0.24218927842119342,-0.22886034271976996,-0.21831315144430619,-0.20967925202631932,-0.20244370336791917,-0.19628611363970094,-0.19095248592930147,-0.1862769637115207,-0.18213151201416622,-0.1784293841438398,-0.17509754498883012,-0.1720677272489297,-0.16931052990599937,-0.16664045439108577,-0.1644625560961117},
+{-0.9071736360869807,-0.5102197721452342,-0.3788977514253986,-0.3181689211033074,-0.28208425146280547,-0.260338917284173,-0.24223746044265226,-0.22891140167172352,-0.2183661885874244,-0.2097334177757375,-0.2024986661137973,-0.19634165931660164,-0.191008378872084,-0.1863330406435466,-0.18218768638439542,-0.17848559575668332,-0.17515374365041225,-0.17212388119628486,-0.16936660765003353,-0.16669635280914008,-0.16451824751476352},
+{-0.9069199474663776,-0.5101568256907854,-0.37890130999383587,-0.31819680944150264,-0.282123611272624,-0.26038349403197003,-0.242285899544612,-0.22896271312202998,-0.2184194740304406,-0.20978782689570608,-0.20255386932274178,-0.19639744222769195,-0.19106450494700766,-0.1863893472200857,-0.18224408777740564,-0.17854203179302885,-0.17521016439923187,-0.17218025509657764,-0.16942290297350837,-0.16675246685247203,-0.16457415157378819},
+{-0.9066665191116385,-0.510094193666788,-0.37890516760998594,-0.31822498260214616,-0.2821632452530025,-0.2604283344855389,-0.2423345964369048,-0.22901427779152073,-0.21847300842688355,-0.2098424800337284,-0.202609313659309,-0.19645346300075062,-0.19112086476997092,-0.1864458840551606,-0.18230071682592097,-0.17859869285501873,-0.17526680784038717,-0.17223684952244867,-0.16947941645895526,-0.1668087971400496,-0.16463026886219723},
+{-0.9064133517804578,-0.5100318768700447,-0.3789093250801443,-0.31825344135543787,-0.28220315414776564,-0.2604734393709407,-0.242383551831864,-0.22906609640153874,-0.2185267924398886,-0.2098973778390132,-0.20266499979555874,-0.1965097222600889,-0.19117745897551686,-0.18650265175904224,-0.18235757414612408,-0.17865557954843325,-0.17532367457533837,-0.17229366509116062,-0.1695361486758884,-0.16686534428032473,-0.16468659995223334},
+{-0.9061604462347361,-0.5099698760920148,-0.3789137832179108,-0.3182821864943435,-0.2822433387219405,-0.2605188094154869,-0.24243276647919743,-0.22911816969627807,-0.21858082672889623,-0.20995252097429784,-0.2027209283921252,-0.19656622067952867,-0.19123428819580113,-0.18655965099503646,-0.18241466035095755,-0.17871269248280441,-0.17538076523220525,-0.17235070238029948,-0.1695931002147404,-0.16692210891449122,-0.16474314543035007},
+{-0.905907803236488,-0.5099081921285915,-0.37891854281610904,-0.318311218779769,-0.28228379970963147,-0.26056444533708145,-0.24248224107466854,-0.22917049837479908,-0.2186351119510732,-0.21000791006952113,-0.20277710011600902,-0.19662295886115544,-0.1912913530708238,-0.18661688236733198,-0.18247197606501686,-0.1787700322658452,-0.1754380804126754,-0.1724079620001362,-0.16965027165775837,-0.166979091651001,-0.16479990591335536},
+{-0.9056554235505985,-0.5098468257792206,-0.37892360470533504,-0.31834053902088044,-0.2823245378847332,-0.2606103478671571,-0.24253197636332402,-0.22922308321039964,-0.21868964878655106,-0.21006354581197684,-0.20283351565348084,-0.19667993748225854,-0.1913486542326268,-0.18667434652945758,-0.1825295219219356,-0.17882759951123717,-0.1754956207367968,-0.17246544455235835,-0.1697076635838357,-0.1670362931141085,-0.16485688196831916},
+{-0.9054033079453347,-0.5097857778486059,-0.37892896968844525,-0.31837014799555163,-0.28236555399661256,-0.26065651773959075,-0.24258197306349416,-0.22927592490668758,-0.21874443787811515,-0.21011942884501877,-0.20289017567552037,-0.19673715718141693,-0.19140619232524614,-0.18673204411567212,-0.1825872985439787,-0.17888539484192734,-0.1755533868248449,-0.17252315060977708,-0.16976527657050156,-0.16709371393761785,-0.16491407418698145},
+{-0.9051514571862072,-0.5097250491358238,-0.3789346385885324,-0.31840004648407216,-0.2824068487807381,-0.26070295568243296,-0.2426322318981704,-0.22932902421268864,-0.21879947990248638,-0.210175559832237,-0.20294708084975355,-0.1967946185769165,-0.1914639679819743,-0.18678997575784706,-0.182645306541815,-0.17894341885204312,-0.1756113792985161,-0.17258108081415457,-0.16982311119272708,-0.167151354744135,-0.16497148317381516},
+{-0.9048998720478494,-0.5096646404571743,-0.37894061221851416,-0.3184302352906627,-0.28244842303570294,-0.26074966243976405,-0.24268275361527003,-0.22938238185543014,-0.21885477550154064,-0.21023193942835405,-0.2030042318324945,-0.19685232232518501,-0.19152198183866176,-0.18684814210382683,-0.18270354654805487,-0.17900167215918827,-0.17566959876916144,-0.17263923570436646,-0.16988116804981246,-0.16720921613926976,-0.1650291095059515},
+{-0.9046485532993245,-0.5096045526160822,-0.3789468914047802,-0.318460715202292,-0.28249027749711786,-0.26079663873176173,-0.24273353894491834,-0.22943599857865138,-0.21891032536916555,-0.21028856831588882,-0.20306162933150063,-0.19691026907435116,-0.19158023454116346,-0.18690654379406624,-0.18276201921645452,-0.179060155409843,-0.17572804586603752,-0.17269761594462807,-0.1699394477211058,-0.16726729877399293,-0.16508695380019844},
+{-0.9043975017168293,-0.5095447864242999,-0.3789534769686327,-0.318491487017468,-0.28253241293995757,-0.2608438853000621,-0.24278458860470664,-0.22948987511722407,-0.21896613014689592,-0.2103454471510986,-0.20311927400115337,-0.19696845947675,-0.19163872672908155,-0.18696518147055485,-0.18282072514756464,-0.17911886919472408,-0.17578672120248484,-0.1727562221097969,-0.16999795079306068,-0.16732560325419854,-0.1651450166253312},
+{-0.9041467180768734,-0.5094853427004296,-0.37896036973182845,-0.31852255153887654,-0.2825748301146973,-0.2608914028864433,-0.24283590334232485,-0.22954401222256138,-0.2190221905125327,-0.21040257659473127,-0.2031771665215274,-0.19702689418471664,-0.1916974590509426,-0.18702405578460457,-0.18287966499627828,-0.17917781416139178,-0.1758456254194698,-0.17281505480281112,-0.170056677868331,-0.16738413021550969,-0.1652032985959977},
+{-0.903896203156421,-0.5094262222598047,-0.3789675705245088,-0.31855390955647067,-0.28261752979500443,-0.260939192229074,-0.24288748388875092,-0.22959841062015585,-0.21907850712449317,-0.21045995733032896,-0.20323530758093966,-0.19708557382392655,-0.1917564321363443,-0.18708316738133135,-0.18293883939526268,-0.17923699090277978,-0.1759047591344256,-0.1728741146253583,-0.17011562952842496,-0.16744288026939103,-0.16526180029109128},
+{-0.9036459577363303,-0.5093674259235854,-0.37897508017829296,-0.31858556188282705,-0.2826605127569053,-0.2609872540742231,-0.24293933098311982,-0.22965307105454258,-0.21913508065080123,-0.21051759001858272,-0.20329369784269602,-0.19714449906314258,-0.1918156466505252,-0.18714251691079653,-0.18299824896121208,-0.17929640007128,-0.17596412298041741,-0.1729334021804334,-0.17017480636656046,-0.16750185403901696,-0.16532052230598993},
+{-0.903395982598056,-0.5093089545145801,-0.37898289952707387,-0.3186175093205179,-0.28270377977156613,-0.2610355891708025,-0.2429914453737183,-0.22970799428850341,-0.2191919117626071,-0.21057547535087906,-0.20335233799931984,-0.19720367054662802,-0.19187510321677337,-0.1872021050238004,-0.1830578943549881,-0.179356042296547,-0.17602371757698165,-0.17299291809109718,-0.1702342089805029,-0.16756105213625005,-0.16537946523743585},
+{-0.9031462785295616,-0.5092508088565921,-0.3789910294009644,-0.31864975267652085,-0.2827473316014846,-0.2610841982414911,-0.24304382779007483,-0.22976318104656457,-0.21924900112691148,-0.21063361398370262,-0.2034112287195171,-0.1972630889415541,-0.1919348024930514,-0.18726193236977906,-0.18311777620044722,-0.17941591820147096,-0.17608354355718348,-0.17305266295539923,-0.17029383796545972,-0.1676204752033641,-0.16543862968939038},
+{-0.9028968463110516,-0.5091929897820648,-0.3789994706373534,-0.3186822927685853,-0.28279116902842816,-0.26113308205921726,-0.24309647898542153,-0.22981863207985498,-0.2193063494187868,-0.21069200661412424,-0.20347037069592488,-0.19732275488979667,-0.19199474512998904,-0.18732199962022378,-0.1831778951451497,-0.17947602842951937,-0.17614360156670728,-0.17311263736741012,-0.17035369392687016,-0.16768012382254938,-0.16549801623926896},
+{-0.9026476867337294,-0.5091354981160237,-0.3790082240695085,-0.31871513038660737,-0.2828352928126776,-0.2611822413570053,-0.24314939968428462,-0.22987434812517904,-0.21936395729022706,-0.21075065390448344,-0.2035297646000913,-0.19738266903101476,-0.1920549317576956,-0.18738230740706285,-0.18323825183205145,-0.1795363735875526,-0.1762038922244642,-0.17317284195451066,-0.17041377744880037,-0.16773999862965638,-0.16555762548375696},
+{-0.9023988005885144,-0.5090783346986996,-0.37901729055181477,-0.31874826636789066,-0.28287970375927785,-0.26123167689814863,-0.24320259066212202,-0.22993032995486828,-0.21942182543949684,-0.21080955655236266,-0.20358941113249784,-0.19744283204903468,-0.1921153630425465,-0.18744285639411373,-0.1832988468963208,-0.17959695434649348,-0.17626441616812372,-0.1732332773128178,-0.1704740891457277,-0.16780010023057912,-0.16561745802454197},
+{-0.9021501886674912,-0.5090215003615413,-0.3790266709192167,-0.31878170152398866,-0.28292440262646323,-0.2612813894359931,-0.24325605264596106,-0.22998657828588875,-0.21947995452273972,-0.2108687152415314,-0.203649310966739,-0.19750324459175772,-0.19217603963141983,-0.18750364724854762,-0.18335968097557043,-0.17965777134378413,-0.17632517403643533,-0.17329394407590826,-0.17053462963508537,-0.16786042923718014,-0.1656775144524545},
+{-0.9019018517631423,-0.5089649959445524,-0.3790363660137075,-0.3188154366689844,-0.28296939020955847,-0.26133137970646203,-0.24330978638488432,-0.23004309388073807,-0.21953834521241333,-0.21092813064836946,-0.20370946477794405,-0.1975639073110642,-0.19223696216340613,-0.1875646806234954,-0.18342075472747865,-0.17971882520680538,-0.1763861664605315,-0.1733548428278482,-0.17059539948166957,-0.1679209862502944,-0.16573779533962352},
+{-0.9016537906719293,-0.5089088222869975,-0.37904637668773944,-0.31884947262733476,-0.2830146672802698,-0.26138164847702683,-0.24336379263303343,-0.2300998774802565,-0.21959699818546596,-0.21098780347290358,-0.20376987326903873,-0.19762482087082844,-0.1922981312874299,-0.1876259571755554,-0.18348206879306872,-0.17978011658419746,-0.17644739408649457,-0.1734159741916983,-0.1706563993329837,-0.1679817718824097,-0.16579830129364836},
+{-0.9014060061937528,-0.5088529802366395,-0.37905670378822265,-0.31888381021394707,-0.28306023463090924,-0.2614321965185695,-0.24341807214193523,-0.23015692985080705,-0.21965591413606944,-0.21104773440879399,-0.20383053713328536,-0.197685985944986,-0.19235954768157626,-0.1876874775828128,-0.18354362383746547,-0.17984164613864095,-0.1765088575652385,-0.17347733879023508,-0.17071762977906246,-0.16804278675033402,-0.16585903291269233},
+{-0.9011584991281154,-0.5087974706395357,-0.3790673481743454,-0.318918450273344,-0.2831060930536182,-0.26148302458193484,-0.24347262566885775,-0.23021425171924648,-0.21971509372104947,-0.2111079241478251,-0.2038914570482575,-0.19774740317632222,-0.19242121197072493,-0.18774924248180014,-0.1836054204844686,-0.17990341450234837,-0.17657055751794815,-0.1735389372236682,-0.17077909143836223,-0.1681040314429083,-0.1659199907760467},
+{-0.9009112702756568,-0.5087422943427953,-0.37907831068733344,-0.3189533936174769,-0.28315224332129674,-0.26153413342120757,-0.24352745395594866,-0.23027184384272914,-0.2197745376184912,-0.2111683733697305,-0.20395263370807015,-0.19780907324530972,-0.1924831248099963,-0.18781125255839015,-0.18366745940483042,-0.17996542232867796,-0.17663249458496466,-0.17360077012455122,-0.17084078492223398,-0.16816550656858453,-0.1659811754831253},
+{-0.9006643204405407,-0.5086874522002347,-0.37908959219475946,-0.3189886410832514,-0.2831986862497331,-0.26158552380218225,-0.24358255777127624,-0.23032970696800703,-0.21983424652557915,-0.21122908279966168,-0.20401406780234765,-0.19787099680871734,-0.192545286864231,-0.18787350846838535,-0.18372974123195718,-0.1800276702834367,-0.1766946694213516,-0.1736628380976981,-0.1709027108366854,-0.16822721273109664,-0.16604258761753954},
+{-0.9004176504324164,-0.5086329450665801,-0.37910119354890526,-0.31902419350163314,-0.2832454226191885,-0.2616371964965083,-0.24363793786471888,-0.2303878418568388,-0.21989422111892054,-0.21129005312553772,-0.20407576003259464,-0.19793317455702208,-0.19260769878519568,-0.18793601089254253,-0.1837922666347822,-0.1800901590237345,-0.1767570826687006,-0.1737251417774246,-0.1709648698105184,-0.16828915053855553,-0.16610422779797318},
+{-0.9001712610547372,-0.5085787737973533,-0.3791131156121139,-0.31906005170571916,-0.28329245321373264,-0.2616891522662286,-0.24369359499269194,-0.230446249231818,-0.21995446207353098,-0.2113512850410757,-0.20413771108974288,-0.1979956071199922,-0.19267036122539594,-0.18799876047819453,-0.18385503625876254,-0.18015288919434624,-0.1768197349674665,-0.17378768175717596,-0.17102726245036592,-0.1683513205909435,-0.16616609659189407},
+{-0.8999251531245989,-0.5085249392592459,-0.3791253592511623,-0.31909621654077114,-0.2833397788573393,-0.2617413918924285,-0.24374952994043042,-0.2305049298730637,-0.22001497009006243,-0.21141277927108604,-0.20419992168166345,-0.19805829521033047,-0.19273327484540914,-0.18806175791519308,-0.18391805077118306,-0.18021586146255686,-0.17688262696856327,-0.17385045867513327,-0.17108988938861103,-0.16841372347471406,-0.1662281946156554},
+{-0.8996793274465631,-0.5084714423053356,-0.3791379253212597,-0.31913268883275236,-0.28338740032396004,-0.2617939161330014,-0.24380574342785621,-0.23056388450368104,-0.2200757458428484,-0.21147453650678472,-0.20426239249030687,-0.19812123947127702,-0.1927964403063811,-0.1881250038547364,-0.18398131081983138,-0.18027907649133112,-0.1769457593078414,-0.17391347316578276,-0.1711527512418911,-0.1684763598159975,-0.16629052247276377},
+{-0.8994337848422163,-0.5084182838093341,-0.37915081470487166,-0.3191694694433522,-0.28343531843839287,-0.2618467257745465,-0.24386223626993342,-0.23062311389600154,-0.22013679003509878,-0.21153655747451694,-0.20432512423275284,-0.19818444060535967,-0.19285985826547858,-0.18818849898627832,-0.18404481706960496,-0.18034253494755603,-0.1770091326523584,-0.1739767258361553,-0.17121584863940598,-0.168539230202839,-0.1663530807508664},
+{-0.8991885261233392,-0.5083654646349487,-0.3791640282578328,-0.3192065592006941,-0.2834835339860149,-0.26189982157455916,-0.24391900919528098,-0.2306826187894444,-0.22019810334938938,-0.21159884289312458,-0.20438811760436693,-0.19824789927497477,-0.1929235293945908,-0.18825224397636475,-0.18410857018841398,-0.18040623751068097,-0.17707274764171643,-0.17404021731243802,-0.17127918220501215,-0.16860233523573243,-0.16641587006228065},
+{-0.8989435521112057,-0.5083129856536175,-0.379177566857436,-0.3192439589528817,-0.2835320477705352,-0.261953204319866,-0.2439760629742409,-0.2307423999362186,-0.22025968648580374,-0.21166139344950352,-0.204451373315635,-0.1983116161552516,-0.19298745434821285,-0.1883162395065483,-0.18417257083353888,-0.1804701848226955,-0.17713660491398286,-0.1741039482327551,-0.17134275256245246,-0.1686656755279614,-0.16647889102165436},
+{-0.8986988636261515,-0.5082608477415533,-0.3791914313761424,-0.31928166955012216,-0.2835808606168655,-0.26200687479723683,-0.24403339839210503,-0.23080245808193922,-0.22032154012828187,-0.21172420988256135,-0.20451489206993756,-0.19837559193308607,-0.19305163378732004,-0.18838048623496206,-0.1842368196475377,-0.18053437755850155,-0.17720070512200436,-0.17416791920629748,-0.17140656034069934,-0.1687292516575667,-0.16654214420924518},
+{-0.8984544614896492,-0.5082090517761912,-0.37920562269400193,-0.31931969185077946,-0.2836299733256453,-0.26206083378048106,-0.24409101621483842,-0.2308627939805774,-0.2203836649968025,-0.21178729292591925,-0.20457867458679857,-0.1984398272929866,-0.19311606839056594,-0.1884449848623717,-0.18430131733026656,-0.18059881642142273,-0.177265048935908,-0.17423213089222145,-0.17147060617816123,-0.16879306426511675,-0.16660563027824082},
+{-0.8982103465288844,-0.5081575986304756,-0.3792201416884211,-0.31935802670244584,-0.28367938671758,-0.2621150820528442,-0.24414891721289678,-0.23092340838792325,-0.22044606177462356,-0.21185064327801229,-0.204642721572327,-0.19850432291997322,-0.19318075882051744,-0.1885097360552095,-0.18436606453479953,-0.1806635020470253,-0.17732963698523463,-0.1742965838972168,-0.17153489071239392,-0.16885711393052816,-0.16666934980867154},
+{-0.897966519570474,-0.508106489191249,-0.3792349892327138,-0.31939667495802837,-0.2837291015848109,-0.262169620391262,-0.24420710215304098,-0.23098430203845055,-0.220508731164216,-0.21191426167285954,-0.20470703373536026,-0.19856907949952074,-0.193245705748609,-0.1885747405047482,-0.18443106192216874,-0.18072843513766657,-0.17739446993147112,-0.17436127887128805,-0.1715994145669697,-0.16892140126680033,-0.16673330342592863},
+{-0.8977229814436214,-0.5080557243398971,-0.3792501662150869,-0.3194356374779659,-0.2837791187599237,-0.26222444960217217,-0.24426557182420083,-0.23104547570397926,-0.22057167388743437,-0.21197814885050548,-0.20477161181008796,-0.1986340977225609,-0.19331090985059518,-0.18863999888822036,-0.1844963101765984,-0.1807936163525028,-0.17745954842814626,-0.17442621644329392,-0.1716641783852424,-0.16898592687442715,-0.16679749176165615},
+{-0.8974797329777857,-0.5080053049661046,-0.3792656735226103,-0.3194749151236067,-0.28382943906751734,-0.2622795704609189,-0.24432432699791207,-0.2311069301208022,-0.22063489063793895,-0.21204230552791614,-0.20483645650244853,-0.198699378272579,-0.19337637180876754,-0.18870551189564821,-0.18456180996099647,-0.18085904638860484,-0.17752487314010068,-0.17449139724874385,-0.1717291828089742,-0.16905069138465478,-0.1668619154087878},
+{-0.897236775011379,-0.5079552319594427,-0.37928151204079086,-0.31951450875234855,-0.28388006331317683,-0.26233498376296893,-0.24438336845292952,-0.23116866603925246,-0.22069838212701143,-0.2121067324571868,-0.20490156854606312,-0.1987649218439742,-0.19344209228472664,-0.18877128020557166,-0.18462756194696794,-0.1809247259092217,-0.17759044469636365,-0.1745568219336633,-0.17179442847367454,-0.16911569538820004,-0.16692657499868346},
+{-0.8969941083755657,-0.5079055062102782,-0.3792976826586596,-0.31955441924077377,-0.283930992329374,-0.2623906903025386,-0.24444269697528398,-0.2312306842222256,-0.22076214906797986,-0.21217143036972175,-0.20496694866261578,-0.19883072915240518,-0.19350807197804443,-0.18883730451454994,-0.18469356682203397,-0.18099065562194028,-0.17765626378354682,-0.17462249113594908,-0.17185991603361117,-0.16918093950187085,-0.16699147115696178},
+{-0.8967517339100652,-0.5078561286199488,-0.3793141862665266,-0.3195946474492928,-0.2839822269389174,-0.2624466908783347,-0.24450231334526507,-0.23129298541670096,-0.2208261921825283,-0.2122364000019843,-0.20503259757441583,-0.19889680087027273,-0.19357431156680605,-0.18890358551868758,-0.18475982525535528,-0.18105683618597368,-0.17772233104057023,-0.1746884054915654,-0.17192564612668093,-0.1692464243442373,-0.16705660450446658},
+{-0.896509652452977,-0.5078071000793898,-0.3793310237550429,-0.3196351942297895,-0.28403376795284885,-0.2625029862699648,-0.2445622183332148,-0.23135557036096088,-0.22089051217614042,-0.21230164209498525,-0.20509851602673734,-0.1989631376971488,-0.19364081172165015,-0.18897012389231804,-0.18482633792496017,-0.1811232682946411,-0.17778864712454379,-0.17475456565631475,-0.17199161938390262,-0.1693121505351769,-0.16712197565379938},
+{-0.8962678648508415,-0.5077584214950548,-0.37934819603313485,-0.3196760604804183,-0.2840856162289356,-0.262559577312345,-0.24462241275881524,-0.2314184398385919,-0.2209551097870417,-0.21236715740542422,-0.20516470475456572,-0.19902974035221632,-0.193707573150391,-0.18903692034558617,-0.1848931055109233,-0.1811899526424554,-0.17785521270923255,-0.1748209722721299,-0.17205783647682438,-0.1693781186971819,-0.16718758524467603},
+{-0.8960263719449415,-0.5077100937701857,-0.3793657039882703,-0.31971724706014015,-0.28413777257736683,-0.26261646478354805,-0.24468289737438909,-0.23148159458173723,-0.22101998573623405,-0.21243294667908685,-0.20523116448373457,-0.19909660953197772,-0.19377459654452878,-0.18910397557056058,-0.18496012871599987,-0.18125688992614641,-0.17792202844447047,-0.17488762599259644,-0.17212429806437513,-0.16944432945547305,-0.1672534338917444},
+{-0.8957851745822722,-0.5076621178045855,-0.379383548520849,-0.3197587548499996,-0.28419023784630326,-0.2626736494852935,-0.24474367298972766,-0.23154503534300375,-0.22108514074187724,-0.21249901066460097,-0.20529789595502734,-0.19916374593145747,-0.1938418825887993,-0.18917129027460078,-0.18502740819934616,-0.18132408081709173,-0.17798909498532112,-0.1749545274597608,-0.17219100476057747,-0.1695107834295868,-0.16731952222227164},
+{-0.895544273611506,-0.5076144945133478,-0.37940173053164017,-0.31980058472660744,-0.28424301285281217,-0.2627311322298169,-0.24480474038222155,-0.23160876287664678,-0.2211505755327039,-0.2125653501086049,-0.20536489991718554,-0.199231150264211,-0.19390943197242905,-0.1892388651467627,-0.18509494465706666,-0.18139152602043396,-0.17805641299270292,-0.17502167732118323,-0.17225795724647242,-0.16957748124440286,-0.1673858508562489},
+{-0.8953036698854078,-0.5075672248079286,-0.3794202509354534,-0.31984273756566495,-0.28429609844562265,-0.2627889138365731,-0.24486610035620515,-0.2316727779588632,-0.2212162908551818,-0.2126319657996305,-0.20543217712690875,-0.1992988232448738,-0.19397724541892103,-0.18930670089690693,-0.1851627388000452,-0.18145922622733224,-0.17812398315339806,-0.17508907625938264,-0.172325156165698,-0.16964442356112386,-0.16745242044390807},
+{-0.8950633642530477,-0.507520309597254,-0.37943911062973257,-0.3198852142516557,-0.28434949546004873,-0.2628469950979593,-0.24492775370242725,-0.2317370813125308,-0.22128228742724332,-0.21269885846379566,-0.2054997283173634,-0.19936676557387045,-0.1940453236206281,-0.1893747982208538,-0.18523079129346343,-0.1815271821388933,-0.17819180610973717,-0.17515672489088274,-0.17239260218559593,-0.16971161098587118,-0.16751923158977888},
+{-0.8948233575740403,-0.507473749809435,-0.37945831052746826,-0.31992801566903495,-0.2844032047390215,-0.26290537684121773,-0.2449897012025417,-0.23180167371890548,-0.22134856599979003,-0.21276602888502794,-0.205567554245647,-0.19943497797856935,-0.19411366728229495,-0.1894431578405147,-0.18529910284752305,-0.1815953944399098,-0.1782598825222408,-0.1752246239033184,-0.17246029596805101,-0.16977904417353784,-0.16758628493977312},
+{-0.8945836507048739,-0.5074275463572349,-0.3794778515442374,-0.3199711427101306,-0.28445722713331634,-0.2629640598790388,-0.24505194366918204,-0.23186655593781325,-0.2214151273215066,-0.2128334778202543,-0.2056356556710739,-0.19950346116746687,-0.19418227712066027,-0.18951178045415418,-0.18536767415002942,-0.1816638638438235,-0.17832821307592894,-0.1752927739515826,-0.1725282381567581,-0.169846723772082,-0.1676535811257054},
+{-0.8943442445066978,-0.50738170016362,-0.3794977345868915,-0.3200145962632348,-0.2845115634898434,-0.2630230450348563,-0.2451144819028741,-0.2319317287207241,-0.22148197212732157,-0.21290120604777485,-0.20570403334949106,-0.19957221586957985,-0.1942511538522922,-0.18958066678402474,-0.18543650591271899,-0.18173259105066109,-0.17839679843393697,-0.17536117570352872,-0.17259642942599385,-0.16991465042593745,-0.16772112077740076},
+{-0.8941051398374498,-0.5073362121563321,-0.379517960578454,-0.32005837720680574,-0.284566214635106,-0.26308233311482354,-0.2451773166831117,-0.2319971928222344,-0.22154910116057636,-0.21296921433975058,-0.20577268803714333,-0.1996412427798191,-0.19432029817073726,-0.18964981752935728,-0.18550559882203288,-0.18180157674783004,-0.17846563925462533,-0.17542982980478428,-0.1726648704316176,-0.1699828247876667,-0.1677889045438974},
+{-0.8938663375672604,-0.5072910832655282,-0.37953853043833874,-0.320102486454374,-0.2846211814522235,-0.263141924966078,-0.24524044883764873,-0.2320629490231454,-0.22161651519593306,-0.2130375034622034,-0.20584162050818122,-0.1997105426470398,-0.1943897108176884,-0.18971923341462116,-0.18557495360147414,-0.1818708216483742,-0.17853473620789373,-0.1754987369387777,-0.1727335618561483,-0.17005124751182166,-0.16785693304387905},
+{-0.8936278385582455,-0.5072463144152266,-0.3795594450723172,-0.3201469248779176,-0.28467646475712627,-0.2632018213889751,-0.24530387914165885,-0.2321289980553729,-0.2216842149610443,-0.2131060741923534,-0.2059108315092999,-0.19978011618235314,-0.1944593925039726,-0.18978891515013174,-0.1856445709423724,-0.1819403264524908,-0.1786040899745558,-0.17556789777103177,-0.17280250435356947,-0.1701199192511922,-0.16792520693326196},
+{-0.893389643681445,-0.5072019065467259,-0.37958070542336486,-0.32019169339938003,-0.2847320654404939,-0.26326202322081826,-0.2453676084207359,-0.2321953407182491,-0.2217522012421682,-0.21317492732487153,-0.20598032182130055,-0.1998499641264857,-0.19452934396878163,-0.18985886345762992,-0.18571445155959054,-0.18201009188413764,-0.17867370121911108,-0.17563731297246932,-0.17287169860156837,-0.17018884068983198,-0.16799372685505887},
+{-0.893151753806734,-0.5071578605949298,-0.37960231240234066,-0.3202367929062575,-0.28478798433991415,-0.26332253129601213,-0.24543163747620156,-0.23226197776438084,-0.22182047477815559,-0.21324406363027038,-0.2060500922162305,-0.1999200872057827,-0.19459956593590277,-0.18992907906340406,-0.18578459617020826,-0.18208011862560625,-0.17874357062424906,-0.17570698321100053,-0.17294114527641113,-0.17025801247638128,-0.16806249343204627},
+{-0.8929141698101546,-0.5071141774961632,-0.3796242669423009,-0.32028222429204334,-0.2848442223004781,-0.26338334644702854,-0.2454959670964172,-0.2323289099550152,-0.2218890363429864,-0.2133134839045283,-0.20612014346249907,-0.19999048613613013,-0.19467005913014646,-0.18999956268947926,-0.1858550054882926,-0.18215040739471533,-0.17881369885742515,-0.17577690917477184,-0.17301084505152176,-0.17032743529767913,-0.16813150734338933},
+{-0.8926768925643671,-0.5070708581949077,-0.3796465699743692,-0.3203279884689323,-0.28490078021286536,-0.26344446950656675,-0.24556059812141484,-0.23239613806066473,-0.22195788669739613,-0.21338318891872632,-0.20619047633130094,-0.20006116166581478,-0.19474082428655493,-0.19007031503684857,-0.18592568021819034,-0.18222095889507273,-0.17888408659388233,-0.17584709151390143,-0.1730807985978231,-0.17039710980759537,-0.16820076918384075},
+{-0.8924399229488813,-0.5070279036369811,-0.3796692224306639,-0.3203740863480675,-0.28495765892267855,-0.26350590131880836,-0.24562553133762322,-0.23246366286377906,-0.2220270266284956,-0.21345317948754428,-0.2062610916074732,-0.20013211452874202,-0.19481186214881063,-0.19014133686061996,-0.18599662110290183,-0.18229177383597062,-0.17895473450846566,-0.17591753094211526,-0.17315100659618565,-0.17046703669535646,-0.1682702796522335},
+{-0.8922032618447986,-0.5069853147713559,-0.3796922252428203,-0.32042051883712475,-0.28501485930559056,-0.2635676427223643,-0.24569076757262565,-0.23253148513236965,-0.22209645691492597,-0.21352345639814985,-0.20633199006817904,-0.20020334545938567,-0.1948831734538885,-0.19021262887247303,-0.1860678288481381,-0.18236285294136678,-0.17902564329239112,-0.17598822811663695,-0.1732214697504446,-0.17053721664080967,-0.16834003936327235},
+{-0.8919669101339309,-0.5069430925440201,-0.37971557935304645,-0.3204672868377543,-0.2850723822136274,-0.2636296945498202,-0.2457563076231395,-0.2325996056303552,-0.22216617831446683,-0.21359402043032105,-0.206403172478133,-0.20027485520557775,-0.1949547589440499,-0.19028419179556977,-0.1861393041852466,-0.18243419691947338,-0.1790968136181732,-0.1760591837343668,-0.17329218872401952,-0.1706076503253371,-0.16841004896946288},
+{-0.891730868700364,-0.5069012379093749,-0.37973928569007853,-0.32051439126502146,-0.2851302285183124,-0.2636920576640591,-0.24582215231384907,-0.23266802515774998,-0.2222361916283262,-0.2136648724028305,-0.20647463964928647,-0.2003466445083859,-0.1950266193669563,-0.19035602637046622,-0.18621104784665476,-0.18250580646696335,-0.17916824617452676,-0.1761303984761753,-0.17336316422080245,-0.17067833843117342,-0.16848030913286038},
+{-0.8914951384324752,-0.5068597518274771,-0.3797633452070954,-0.3205618330409834,-0.2851883991039017,-0.26375473290585205,-0.24588830246159432,-0.2327367444793822,-0.22230649762548182,-0.21373601310375534,-0.20654639233993066,-0.20041871410467138,-0.19509875547242927,-0.1904281333278277,-0.18628306055899202,-0.18257768230995453,-0.1792399416472108,-0.1762018730232171,-0.17343439692308493,-0.17074928165214942,-0.16855082049443126},
+{-0.8912597202200061,-0.506818635253552,-0.3797877588434915,-0.32060961307126945,-0.28524689484032706,-0.2638177211392758,-0.24595475888935425,-0.23280576437252876,-0.2223770971187946,-0.21380744334629753,-0.20661843134985247,-0.20049106475579492,-0.19517116799869427,-0.19050051339007723,-0.18635534304905832,-0.18264982515705697,-0.1793119007122641,-0.17627360807438208,-0.1735058875285631,-0.17082048066873767,-0.1686215836999736},
+{-0.8910246149548016,-0.5067778891516639,-0.3798125275455675,-0.32065773229174965,-0.2853057166000781,-0.263881023199815,-0.24602152242232478,-0.23287508562691528,-0.2224479908770718,-0.21387916393058504,-0.20669075746775434,-0.20056369719009126,-0.19524385771376274,-0.1905731672952129,-0.18642789607287114,-0.18272223573814017,-0.17938412406897442,-0.17634560432395574,-0.17357763674425541,-0.17089193617630372,-0.16869259941381642},
+{-0.8907898235301559,-0.5067375144836603,-0.37983765226468336,-0.3207061916112366,-0.2853648652563834,-0.26394463995507067,-0.24608859387052462,-0.2329447090281178,-0.22251917972079127,-0.21395117567050193,-0.2067633714675594,-0.20063661218387097,-0.19531682536808148,-0.1906460957920899,-0.1865007203513187,-0.1827949147605068,-0.17945661240577238,-0.17641786245110325,-0.1736496452641063,-0.17096364886077708,-0.16876386827703982},
+{-0.8905553468436267,-0.5066975122181248,-0.3798631339409724,-0.3207549919443409,-0.28542434169139597,-0.26400857226070684,-0.24615597406130973,-0.2330146353634177,-0.22259066442694575,-0.21402347935816124,-0.20683627416076433,-0.20070981046097813,-0.19539007170413925,-0.19071929960466605,-0.18657381662728767,-0.18286786292509305,-0.1795293664096107,-0.17649038316557153,-0.17372191379240576,-0.1710356194349174,-0.16883539095192646},
+{-0.8903211857959263,-0.5066578833265396,-0.3798889735446096,-0.32080413423659593,-0.2854841467898268,-0.26407282099785334,-0.2462236638293689,-0.23308486542850915,-0.22266244581510364,-0.21409607583262869,-0.20690946632743135,-0.20078329280596563,-0.1954635974991561,-0.19079277946963202,-0.1866471856455405,-0.18294108097438766,-0.17960238678136875,-0.17656316715778075,-0.1737944430446987,-0.17110784857044337,-0.1689071680778511},
+{-0.8900873412858914,-0.5066186287810694,-0.37991517201822944,-0.3208536194053977,-0.28554428143871746,-0.26413738701756984,-0.24629166400012537,-0.23315540001931367,-0.22273452469335098,-0.2141689658917585,-0.20698294876848422,-0.20085705995938952,-0.19553740351324223,-0.19086653613288718,-0.18672082815783142,-0.1830145696191039,-0.1796756742211869,-0.17663621514026318,-0.17386723373351742,-0.17118033698329782,-0.16897920034324443},
+{-0.8898538142185544,-0.5065797495551578,-0.37994173033095535,-0.32090344838456986,-0.2856047465260758,-0.26420227118825323,-0.24635997540343624,-0.23322623992322633,-0.22280690186050833,-0.21424215036086025,-0.20705672226944216,-0.20093111267112818,-0.19561149049695814,-0.19094057034271827,-0.18679474490863868,-0.18308832957376353,-0.17974922941311888,-0.17670952778780702,-0.17394028656178762,-0.17125308535582917,-0.16905148837264505},
+{-0.8896206055003404,-0.5065412466246642,-0.3799686494301966,-0.32095362209122413,-0.2856655429209809,-0.2642674743685802,-0.24642859887001123,-0.2332973859212757,-0.2228795781367694,-0.21431563003972087,-0.20713078761815495,-0.20100545171590056,-0.19568585921592785,-0.19101488283087065,-0.1868689366270928,-0.18316236155538945,-0.1798230530594651,-0.17678310582124368,-0.1740136022427805,-0.1713260943834598,-0.16912403284715083},
+{-0.8893877160377599,-0.5065031209767028,-0.3799959302920968,-0.3210041414706666,-0.28572667153258635,-0.2643329974670223,-0.24649753523590334,-0.23336883885144744,-0.22295255434687533,-0.21438940576769028,-0.20720514564902714,-0.20108007784790516,-0.19576051044560927,-0.19108947434926904,-0.18694340410849009,-0.18323666629476065,-0.17989714588520656,-0.17685694995162748,-0.17408718151949643,-0.1713993647819052,-0.169196834449167},
+{-0.8891551467454519,-0.5064653735944944,-0.38002357387136954,-0.3210550074674643,-0.2857881332535044,-0.26439884134362046,-0.2465667853708169,-0.23344059950107976,-0.223025831309144,-0.21446347837769508,-0.20727979712660272,-0.20115499184254304,-0.1958354449529338,-0.19116434565086138,-0.18701814807423034,-0.1833112445214624,-0.17997150857939914,-0.17693106087699562,-0.17416102510878773,-0.171472897236697,-0.16926989382267266},
+{-0.8889228985339628,-0.506428005461629,-0.38005158114239634,-0.32110622099975217,-0.28584992896344374,-0.26446500687359276,-0.24663635006714912,-0.23351266867280174,-0.2230994098337078,-0.21453784866736214,-0.20735474285481814,-0.20123019443497014,-0.19591066349460107,-0.19123949746546032,-0.18709316929135866,-0.18338609693984154,-0.18004614183325884,-0.1770054393088003,-0.17423513372420985,-0.17154669244428078,-0.16934321166303334},
+{-0.8886909723179883,-0.5063910175712749,-0.38007995307822284,-0.32115778302460285,-0.2859120595797435,-0.26453149495131356,-0.24670623019369486,-0.23358504718561335,-0.22317329077048953,-0.21461251747916776,-0.20742998363994047,-0.2013056864209375,-0.19598616685891557,-0.19131493056403315,-0.18716846851759783,-0.183461224287214,-0.18012104638489745,-0.1770800859553674,-0.17430950811353796,-0.17162075110536534,-0.16941678865458698},
+{-0.888459369019813,-0.5063544109088696,-0.38010869064481767,-0.32120969447862535,-0.28597452598125983,-0.26459830644580506,-0.24677642659531784,-0.2336577358418026,-0.22324747493257746,-0.21468748562995188,-0.20750552028334823,-0.20138146855305195,-0.19606195580803387,-0.19139064568810227,-0.1872440465120917,-0.18353662728532072,-0.1801962229272931,-0.17715500154400843,-0.17438414899271493,-0.17169507391201932,-0.1694906254840589},
+{-0.8882280895556391,-0.506318186477074,-0.38013779482002974,-0.3212619562939949,-0.2860373290695293,-0.2646654422679262,-0.24684694011040165,-0.233730735462359,-0.22332196316330055,-0.2147627539590644,-0.20758135357635865,-0.20145754159648277,-0.1961380311161065,-0.1914666435870913,-0.18731990403244936,-0.18361230664464756,-0.1802716721791171,-0.17723018676639413,-0.1744590571092317,-0.17176966156557683,-0.16956472286040025},
+{-0.8879971348532365,-0.5062823452695113,-0.3801672665873923,-0.321314569434378,-0.28610046976541526,-0.2647329033047754,-0.24691777161439177,-0.23380404686213296,-0.22339675629638123,-0.21483832329687402,-0.20765748433825593,-0.20153390633157642,-0.1962143935563745,-0.1915429250246916,-0.18739604185600456,-0.18368826312104147,-0.18034739485801765,-0.1773056423530761,-0.17453423319352623,-0.17184451476202867,-0.1696390814738038},
+{-0.887766505833838,-0.5062468882826181,-0.3801971069093213,-0.32136753483752045,-0.2861639489481149,-0.26480069044589527,-0.24698892193242727,-0.233877670856657,-0.2234718551703736,-0.21491419446897453,-0.20773391336120994,-0.2016105635119061,-0.19629104391543706,-0.19161949075396478,-0.1874724607346252,-0.18376449742066825,-0.1804233916795397,-0.17738136904074508,-0.17460967799519267,-0.17191963418520118,-0.16971370205897074},
+{-0.8875362034273167,-0.5062118165275535,-0.380227316791661,-0.3214208534596992,-0.28622776755838686,-0.2648688045872518,-0.24706039194677487,-0.23395160829142014,-0.22354726064497754,-0.21499036832744878,-0.2078106414592753,-0.20168751393140383,-0.19636798296698998,-0.1916963415360442,-0.18754916145076095,-0.18384101028914301,-0.18049966336394618,-0.17745736752732455,-0.17468539224705637,-0.17199502055649418,-0.1697885853460548},
+{-0.887306228565194,-0.5061771310054155,-0.38025789720990133,-0.32147452625753203,-0.286291926482761,-0.26493724664004503,-0.24713218250633417,-0.23402585997962433,-0.22362297355124383,-0.21506684570181278,-0.20788766942428083,-0.20176475835506835,-0.19644521149649563,-0.19177347813075585,-0.18762614476889894,-0.18391780245593736,-0.18057621064667728,-0.17753363855467796,-0.17476137671150127,-0.1720706745466032,-0.16986373204230176},
+{-0.8870765821797306,-0.5061428327258,-0.3802888491464387,-0.32152855417155024,-0.28635642661907923,-0.2650060175039357,-0.24720429446125536,-0.23410042674777287,-0.22369899473466148,-0.2151436274314733,-0.2079649980792624,-0.2018422975410772,-0.1965227302744097,-0.19185090129769833,-0.1877034114584717,-0.18399487463381092,-0.18065303423827572,-0.17761018285074215,-0.17483763211663472,-0.1721465968567486,-0.16993914291435885},
+{-0.8868472652050627,-0.5061089227014293,-0.38032017359796555,-0.32158293816604555,-0.2864212689099759,-0.2650751180875659,-0.24727672870244533,-0.23417530943197562,-0.22377532505453246,-0.21522071434827694,-0.20804262821548036,-0.20192013228273709,-0.19660054008789984,-0.1919286117947081,-0.18778096229374341,-0.18407222755809016,-0.18073013486161926,-0.177687001127822,-0.17491415922233955,-0.17222278817979486,-0.17001481867913526},
+{-0.8866182785804426,-0.50607540194531,-0.3803518715532732,-0.3216376792042297,-0.28648645425494124,-0.26514454930742204,-0.2473494860843175,-0.2342505088759026,-0.22385196537044294,-0.21529810731044563,-0.20812056065432216,-0.2019982633415225,-0.1966786417245885,-0.19200661041185185,-0.18785879805528793,-0.1841498619796198,-0.1808075132591398,-0.1777640941514278,-0.17499095876689807,-0.1722992492065032,-0.17009076012095647},
+{-0.8863896232456341,-0.506042271474513,-0.3803839440170975,-0.32169277824488063,-0.2865519835892769,-0.26521431206282386,-0.24742256748436375,-0.23432602591446994,-0.22392891654141067,-0.21537580716005778,-0.20819879620324855,-0.20207669150522634,-0.1967570359766455,-0.19208489789230043,-0.18793691952470226,-0.1842277786216755,-0.18088517016047945,-0.17784146263420553,-0.17506803153526107,-0.17237598063161386,-0.17016696797645636},
+{-0.8861613001448063,-0.506009532305967,-0.38041639197234645,-0.3217482362459805,-0.28661785780076343,-0.26528440727003044,-0.2474959737746758,-0.23440186138401486,-0.22400617941804057,-0.21545381473833913,-0.20827733566534334,-0.20215541755379718,-0.1968357236247016,-0.19216347503169118,-0.18801532747124838,-0.184305978234363,-0.18096310629982781,-0.17791910732825045,-0.17514537824581566,-0.1724529831529935,-0.17024344302603822},
+{-0.8859333102197979,-0.5059771854640758,-0.38044921643250973,-0.3218040541745495,-0.28668407783550265,-0.2653548358595117,-0.24756970582785698,-0.23447801613963293,-0.2240837548719128,-0.21553213090402323,-0.20835617986551824,-0.20223444225501908,-0.19691470545444645,-0.1922423425787656,-0.1880940226939174,-0.1843844615366379,-0.18104132241109028,-0.17799702898565783,-0.1752229996711776,-0.17253025745691275,-0.1703201860319723},
+{-0.8857056544222814,-0.5059452319751188,-0.3804824183949336,-0.3218602329999385,-0.28675064460844624,-0.26542559875389315,-0.2476437645454439,-0.23455449103300907,-0.22416164375846392,-0.2156107564969716,-0.20843532960816447,-0.2023137663921375,-0.196993982272204,-0.19232150132171455,-0.18817300595196684,-0.18446322927781011,-0.18111981924630527,-0.17807522832646328,-0.1753008965657159,-0.1726078042440804,-0.17039719776869333},
+{-0.8854783337003198,-0.5059136728622491,-0.3805159988605169,-0.3219167736872919,-0.2868175590462556,-0.2654966968684107,-0.2477181507892965,-0.23463128689661517,-0.22423984695052468,-0.21568969237068814,-0.20851478571040616,-0.2023933907458968,-0.19707355485610378,-0.1924009520397476,-0.18825227804558153,-0.18454228219246716,-0.18119859751880085,-0.17815370613362802,-0.17537906968954076,-0.172685624205144,-0.17047447900023371},
+{-0.8852513490094225,-0.5058825091612107,-0.3805499588453358,-0.3219736772180113,-0.2868848220851419,-0.26556813112853206,-0.2477928654598145,-0.23470840460964837,-0.22431836532672378,-0.21576893939260344,-0.20859454898021568,-0.2024733161080121,-0.19715342401366343,-0.19248069550576474,-0.1883318397655671,-0.18462162104572144,-0.18127765800443285,-0.17823246314981134,-0.1754575197984991,-0.17276371803620805,-0.17055203052234447},
+{-0.8850247013031662,-0.5058517419014663,-0.380584299363818,-0.3220309445611065,-0.28695243465057274,-0.2656399024792222,-0.24786790944978065,-0.23478584501077648,-0.22439719975028538,-0.21584849841389087,-0.20867462024313,-0.20255354324655173,-0.19723359053620015,-0.19256073250789996,-0.18841169188482354,-0.18470124654749043,-0.18135700142039468,-0.17831150012221997,-0.17553624763860398,-0.17284208642797694,-0.17062985309468104},
+{-0.8847983915373732,-0.505821372119243,-0.38061902141140536,-0.32208857668064184,-0.2870203976619905,-0.2657120118286116,-0.2479432836340152,-0.2348636089746492,-0.22447635108966324,-0.21592837029828615,-0.20875500031507954,-0.20263407295163915,-0.19731405521798706,-0.19264106383690205,-0.18849183520870838,-0.18478115946459184,-0.1814366285487381,-0.17839081783233723,-0.17561525399122502,-0.172920730096223,-0.17070794751720086},
+{-0.8845724206795751,-0.505791400855486,-0.3806541260245808,-0.3221465745686487,-0.28708871207459197,-0.26578446014434576,-0.24801898893991847,-0.23494169736181902,-0.22455582023837906,-0.216008555899748,-0.20883569001404112,-0.20271490601459163,-0.197394818874443,-0.19272169026584152,-0.18857227051591963,-0.1848613605365017,-0.1815165401081913,-0.17847041702225397,-0.17569453959868042,-0.17299964972829684,-0.17078631455331106},
+{-0.8843467896872141,-0.5057618291506856,-0.38068961420941605,-0.3222049392018107,-0.28715737881987025,-0.2658572483522903,-0.2480950262463466,-0.2350201110435819,-0.22463560806863825,-0.21608905609326712,-0.2089166901565136,-0.20279604321945044,-0.19747588230160318,-0.19280261260081488,-0.18865299860880214,-0.1849418505245808,-0.18159673687927125,-0.17855029849170023,-0.17577410523119852,-0.17307884603280854,-0.1708649550180894},
+{-0.8841214995274242,-0.5057326580429162,-0.3807254869905137,-0.3222636715613021,-0.2872263988346617,-0.26593037737779923,-0.24817139646290798,-0.23509885087804605,-0.22471571545708002,-0.21616987173337066,-0.20899800155785897,-0.20287748534821048,-0.19755724630357463,-0.19288383163768685,-0.18873402027713837,-0.18502263016779352,-0.1816772195866747,-0.17863046298094787,-0.17585395163399653,-0.17315831969926876,-0.170943869670225},
+{-0.8838965511672541,-0.5057038885836391,-0.38076174538821306,-0.32232277262784237,-0.2872957730521648,-0.26600384817407985,-0.24824810049835833,-0.23517791774850139,-0.22479614328267417,-0.2162510037007337,-0.2090796250429321,-0.20295923319645226,-0.19763891168844339,-0.19296534815180166,-0.18881533630462854,-0.1851037002151088,-0.18175798900091422,-0.17871091127727823,-0.1759340795646267,-0.17323807143367276,-0.17102305930842476},
+{-0.8836719455796072,-0.5056755218222975,-0.3807983904370076,-0.3223822433891428,-0.28736550243274905,-0.2660776616918952,-0.24832513925508692,-0.23525731254079574,-0.22487689245014053,-0.2163324528717112,-0.2091615614487523,-0.20304128756384898,-0.19772087927827897,-0.19304716297267532,-0.188896947512319,-0.18518506144357616,-0.1818390459047805,-0.17879164417428228,-0.17601448979053202,-0.17331810194991704,-0.17110252473582932},
+{-0.8834476837366196,-0.5056475588028206,-0.38083542315519026,-0.32244208482882186,-0.287435587901939,-0.26615181888638517,-0.24840251366856592,-0.2353370361196312,-0.2249579638211685,-0.21641422010350198,-0.20924381158494043,-0.2031236492451285,-0.19780314987377778,-0.19312927688042691,-0.18897885467339393,-0.18526671458749888,-0.18192039104053492,-0.17887266243900513,-0.1760951830679005,-0.17339841195126837,-0.1711822667218712},
+{-0.8832237666164531,-0.5056200005917333,-0.3808728445802103,-0.3225022979537471,-0.2875060304213548,-0.2662263206960347,-0.24848022461992514,-0.23541708937341355,-0.22503935830746968,-0.2164963062842844,-0.20932637627146278,-0.2032063190183635,-0.19788572429365558,-0.19321169069030475,-0.18906105860656908,-0.18534866041420628,-0.18200202515748742,-0.17895396687003995,-0.17617616014410942,-0.17347900212388367,-0.17126228608083238},
+{-0.8830001951961322,-0.505592848239786,-0.3809106557499149,-0.32256288374316,-0.2875768309498312,-0.2663011680768932,-0.2485582730528222,-0.235497473196574,-0.22512107678016946,-0.21657871229041348,-0.20940925634334917,-0.20328929769237902,-0.1979686033582766,-0.19329440520692742,-0.18914356009031508,-0.1854308996936993,-0.1820839490386561,-0.17903555824807427,-0.1762574217715951,-0.1735598731980872,-0.1713425836065312},
+{-0.8827769704573143,-0.5055661028059717,-0.3809488576930562,-0.3226238431957995,-0.28764799042198774,-0.26637636199052395,-0.2486366598923837,-0.23557818847791623,-0.22520312013983812,-0.2166614390058612,-0.2094924526264208,-0.20337258608003594,-0.1980517878852197,-0.19337742124122315,-0.18922635993226322,-0.18551343318711133,-0.18216616345381453,-0.17911743737022334,-0.17633896872121113,-0.17364102586697072,-0.17142316010932745},
+{-0.8825540933833622,-0.505539765352438,-0.3809874514575995,-0.32268517730437907,-0.28771950979569283,-0.2664519033845636,-0.24871538603667886,-0.23565923610220807,-0.22528548927760994,-0.21674448731619123,-0.20957596594075767,-0.20345618496577345,-0.19813527869263226,-0.19346073961207821,-0.18930945893720263,-0.18559626164000065,-0.18224866916870042,-0.1791996050326361,-0.17642080171918906,-0.1737224608424981,-0.1715040163841195},
+{-0.8823315649638346,-0.5055138369450844,-0.3810264380825288,-0.32274688707565247,-0.2877913900434237,-0.26652779323882214,-0.24879445245039733,-0.2357406169735441,-0.2253681850889393,-0.21682785809520055,-0.20965979713361094,-0.20354009516711358,-0.19821907661105342,-0.1935443611384926,-0.18939285790833083,-0.1856793858444803,-0.18233146695729374,-0.17928206202174124,-0.17650292154922909,-0.173804178831233,-0.17158515324979362},
+{-0.8821093861829183,-0.5054883186490429,-0.3810658186030196,-0.32280897350074156,-0.28786363210207355,-0.2666040325070185,-0.24887386002882295,-0.23582233198084168,-0.22545120847263433,-0.21691155224499425,-0.2097439470160225,-0.20362431748446852,-0.19830318247738887,-0.19362828663861364,-0.18947655764168303,-0.18576280655997834,-0.18241455759323344,-0.1793648091689306,-0.17658532893574375,-0.17388618053780647,-0.1716665715253498},
+{-0.881887558035487,-0.5054632115376592,-0.38110559408482914,-0.32287143759782566,-0.28793623695975157,-0.2666806221479874,-0.2489536097408518,-0.23590438205206965,-0.22553456033631392,-0.21699557064602004,-0.2098284164349593,-0.20370885273541717,-0.19838759710859222,-0.19371251694519742,-0.18956055895330337,-0.18584652457536777,-0.18249794186021973,-0.17944784724534202,-0.17666802466436593,-0.17396846668094668,-0.17174827203149334},
+{-0.8816660815162436,-0.5054385166829434,-0.38114576556341717,-0.32293428036524574,-0.2880092055731325,-0.2667575631421073,-0.24903370250228818,-0.23598676807830543,-0.22561824156372268,-0.21707991421345696,-0.2099132062209037,-0.20379370174487121,-0.19847232134225123,-0.19379705288531568,-0.18964486264320612,-0.18593054065837578,-0.18258162054763716,-0.1795311770915191,-0.17675100947508326,-0.1740510379687521,-0.17183025559569387},
+{-0.8814449576212269,-0.5054142351530118,-0.3811863341027788,-0.32299750280367334,-0.2880825388855328,-0.266834856451851,-0.24911413924462522,-0.23606949096438257,-0.22570225305759095,-0.21716458381087023,-0.2099983172008706,-0.20387886531182176,-0.19855735601663582,-0.19388189528206112,-0.18972946950128744,-0.18601485556553143,-0.18266559441656227,-0.17961479949786963,-0.17683428409696944,-0.174133895098862,-0.1719125230341092},
+{-0.8812241873509095,-0.5053903680357905,-0.3812273007460476,-0.3230611059298667,-0.288156237891144,-0.2669125030534474,-0.2491949209379527,-0.2361525516199663,-0.22578659572405968,-0.21724958035059672,-0.21008375022159953,-0.20396434425447296,-0.19864270195489553,-0.19396704495829908,-0.18981438035626752,-0.186099470100487,-0.18274986426632722,-0.1796987152677616,-0.17691784932219434,-0.17421703879927009,-0.17199507517966595},
+{-0.8810037717075829,-0.5053669164045687,-0.3812686665622209,-0.3231250907592198,-0.2882303035576683,-0.2669905039283549,-0.24927604850620355,-0.2362359509799603,-0.2258712704706909,-0.21733490473866368,-0.21016950611459606,-0.2040501394191665,-0.19872836001246696,-0.19405250278418862,-0.1898995960075922,-0.1861843850360856,-0.18283443087597107,-0.17978292523463324,-0.17700170588415176,-0.1743004697705146,-0.17207791288910812},
+{-0.8807837116994506,-0.5053438813482671,-0.38131043261307696,-0.323189458307354,-0.2883047368628695,-0.26706886004620856,-0.24935752290463142,-0.23631968994880026,-0.22595627819879383,-0.21742055786313585,-0.21025558572813452,-0.20413625160125548,-0.19881433102762003,-0.194138269580435,-0.18998511726647394,-0.18626960116284863,-0.1829192950579568,-0.17986743020202312,-0.17708585456790615,-0.17438418873888395,-0.17216103698069674},
+{-0.8805640083303388,-0.5053212639473088,-0.38135259995294746,-0.32325420958642326,-0.2883795387721193,-0.26714757238096354,-0.24943934508405619,-0.23640376945326125,-0.22604161982161486,-0.21750654063680486,-0.21034198989713104,-0.20422268167732227,-0.19890061583799934,-0.1942243461978137,-0.19007094494480725,-0.18635511928226833,-0.18300445760104367,-0.17995223099239865,-0.17717029611907265,-0.17446819641372713,-0.1722444483012282},
+{-0.8803446626104403,-0.5052990652893925,-0.3813951696561162,-0.3233193456121626,-0.2884547102692636,-0.2672266419224911,-0.24952151599001127,-0.23648819041875413,-0.22612729623676842,-0.2175928539626284,-0.2104287194653125,-0.20430943043635352,-0.19898721528966234,-0.19431073347794836,-0.19015707985022345,-0.18644094016059398,-0.18308991929797003,-0.18003732843351372,-0.17725503129611297,-0.17455249351104385,-0.17232814769749893},
+{-0.880125675555405,-0.5052772864667077,-0.381438142788852,-0.3233848674176443,-0.28853025234417373,-0.26730606965520565,-0.2496040365917338,-0.23657295378518484,-0.22621330835499975,-0.21767949873327552,-0.2105157752887976,-0.20439649874242605,-0.19907413023935305,-0.19439743226394057,-0.19024352278671586,-0.18652706460477475,-0.1831756809585272,-0.1801227233243594,-0.17734006088102205,-0.17463708076871853,-0.17241213603290362},
+{-0.8799070481800584,-0.5052559285725806,-0.3814815204246429,-0.32345077602116135,-0.2886061659684742,-0.2673858565734122,-0.2496869078292434,-0.23665806045926274,-0.2262996570942164,-0.21776647586784748,-0.21060315820562892,-0.20448388743574242,-0.19916136151562114,-0.19448444341924187,-0.19033027457777507,-0.18661349339612343,-0.18326174337346401,-0.18020841650377406,-0.17742538563140897,-0.17472195889195064,-0.17249641412263372},
+{-0.8796887815050809,-0.5052349927013893,-0.3815253036405011,-0.32351707245169337,-0.28868245214550825,-0.26746600364305095,-0.2497701306922977,-0.23674351139607097,-0.22638634335032748,-0.21785378628015906,-0.21069086906732082,-0.20457159734951347,-0.19924890999857325,-0.19457176779832253,-0.19041733604001365,-0.1867002273691014,-0.18334810739099794,-0.18029440877973002,-0.17751100633068972,-0.1748071286172035,-0.17258098283753043},
+{-0.8794708765489645,-0.5052144799533096,-0.38156949351321146,-0.32358375774009573,-0.28875911185195946,-0.26754651186905676,-0.24985370610329483,-0.2368293075278416,-0.22647336805607665,-0.21794143086202666,-0.2107789087170886,-0.20465962935338666,-0.19933677651727066,-0.1946594062506506,-0.1905047079757196,-0.18678726729092432,-0.1834347737679991,-0.1803807009817433,-0.17759692375574332,-0.1748925906752561,-0.1726658430062571},
+{-0.879253334336795,-0.5051943914249648,-0.3816140911138177,-0.32365083290596885,-0.2888361460781539,-0.2676273822355597,-0.24993763505256084,-0.2369154497939121,-0.2265607321003813,-0.21802941054136227,-0.21086727802713767,-0.2047479842894404,-0.19942496193328907,-0.1947473596501368,-0.19059239120741722,-0.18687461397104244,-0.18352174337684346,-0.180467293929496,-0.17768313867736651,-0.17497834580410654,-0.1727509954969264},
+{-0.8790361559005362,-0.5051747282286954,-0.38165909754422955,-0.323718298995459,-0.288913555831698,-0.26770861574914306,-0.25002191851746147,-0.23700193913197154,-0.22664843641661037,-0.21811772622135095,-0.21095597783835274,-0.2048366630257874,-0.19951346711326323,-0.19483562884596495,-0.19068038655228747,-0.1869622682231693,-0.1836090170152147,-0.18055418843692905,-0.17776965188971872,-0.17506439473510227,-0.17283644115929064},
+{-0.8788193422637676,-0.5051554914599024,-0.3817045138724211,-0.32378615704226377,-0.28899134210013244,-0.2677902134111605,-0.2501065574383574,-0.23708877651000648,-0.22673648191596385,-0.21820637881870653,-0.21104500901549272,-0.20492566641712529,-0.19960229290802545,-0.194924214714149,-0.1907686948284777,-0.1870502308680102,-0.1836965955226333,-0.18064138535567054,-0.1778564641798539,-0.17515073824262117,-0.17292218083400712},
+{-0.8786028944605562,-0.5051366822333421,-0.3817503411971188,-0.3238544080880388,-0.28906950589566804,-0.2678721761930092,-0.2501915528013683,-0.23717596285661102,-0.22682486950964176,-0.2182953692472438,-0.2111343724051835,-0.20501499532019807,-0.19969144018068619,-0.19501311812439326,-0.1908573168624912,-0.18713850269432442,-0.1837844797077537,-0.18072888546390686,-0.17794357634193148,-0.17523737705636222,-0.17300821537128286},
+{-0.8783868135259922,-0.5051183016508958,-0.3817965806076131,-0.32392305316272996,-0.28914804820328754,-0.26795450510320507,-0.2502769055756744,-0.2372634991223208,-0.22691360011504003,-0.2183846984225397,-0.2112240688913971,-0.20510465062329786,-0.199780909786341,-0.19510233993867132,-0.19094625345098848,-0.18722708452884262,-0.18387267041214272,-0.18081668960564912,-0.17803098914708926,-0.17532431193495768,-0.17309454561620896},
+{-0.8781711005004524,-0.5051003508413032,-0.38184323320012936,-0.3239920933168605,-0.28922697004310294,-0.2680372011658392,-0.25036261673955096,-0.23735138628245522,-0.22700267465410207,-0.21847436727745162,-0.21131409932058887,-0.2051946331993122,-0.1998707026029365,-0.1951918810405573,-0.19103550545406733,-0.18731597718078774,-0.18396116849584132,-0.18090479860597952,-0.17811870342387692,-0.17541154364414524,-0.17318117243075903},
+{-0.8779557564207039,-0.5050828309064741,-0.3818903000683349,-0.3240615296097076,-0.2893062724324409,-0.2681202653800483,-0.25044868729588643,-0.23743962528874363,-0.22709209406326636,-0.2185643767069223,-0.21140446457502549,-0.20528494393033725,-0.1999608195045539,-0.19528174230430295,-0.19112507366065756,-0.18740518150087837,-0.18404997479058238,-0.18099321327633788,-0.17820671996344117,-0.1754990729764927,-0.17326809665399878},
+{-0.8777407823340013,-0.5050657429709418,-0.38193778231442366,-0.32413136306286106,-0.28938595634929243,-0.268203698726893,-0.2505351181670221,-0.23752821707915928,-0.22718185922548173,-0.21865472763181515,-0.2114951655070172,-0.20537558367811926,-0.20005126132735995,-0.19537192459137032,-0.19121495891448603,-0.18749469825650067,-0.1841390901269051,-0.1810819344360084,-0.17829503955732662,-0.1755869006778994,-0.1733553191273245},
+{-0.8775261792839331,-0.5050490881567669,-0.38198568104354536,-0.32420159475628907,-0.2894660228470798,-0.2682875022326243,-0.2506219103786975,-0.23761716264931465,-0.2272719710892943,-0.2187454209872044,-0.21158620298979258,-0.2054665533428306,-0.20014202897783662,-0.1954624288188711,-0.19130516203841808,-0.18758452832588546,-0.18422851537991392,-0.18117096289250867,-0.17838366303305975,-0.1756750275588388,-0.17344284071401717},
+{-0.8773119483243761,-0.5050328675847311,-0.38203399735260746,-0.3242722257264745,-0.2895464729148216,-0.2683716769059856,-0.2507090648953749,-0.237706462941901,-0.22736243056965577,-0.2188364576829258,-0.21167757790323094,-0.20555785381998248,-0.20023312330397403,-0.19555325583286276,-0.19139568385128314,-0.18767467251115022,-0.18431825139015245,-0.18126029947353572,-0.1784725911705891,-0.17576345439863417,-0.17353066225177827},
+{-0.8770980905015335,-0.5050170823800499,-0.38208273235818524,-0.32434325702331535,-0.2896273075794511,-0.26845622375554967,-0.2507965826872578,-0.2377961189256439,-0.22745323859362543,-0.21892783863984278,-0.21176929111453546,-0.20564948598917,-0.20032454518604936,-0.1956444065384062,-0.1914865251862352,-0.187765131634535,-0.184408299010272,-0.18134994499439472,-0.17856182480664984,-0.17585218199701558,-0.17361878458120827},
+{-0.8768846068768141,-0.5050017336767496,-0.3821318871733297,-0.32441468972677967,-0.28970852787091417,-0.26854114379960947,-0.2508844647848605,-0.23788613159371153,-0.22754439608502253,-0.21901956478967577,-0.2118613435167731,-0.20574145075573824,-0.20041629551252527,-0.1957358818266357,-0.19157768687244925,-0.1878559065484069,-0.18449865913510166,-0.1814399002584537,-0.17865136475791132,-0.17594121116309225,-0.17370720857365995},
+{-0.8766714985001727,-0.5049868225943328,-0.3821814628990978,-0.32448652488244534,-0.28979013479550986,-0.2686264380579928,-0.2509727121251899,-0.2379765018919784,-0.2276359039685758,-0.219111637043909,-0.2119537359781134,-0.20583374901963225,-0.2005083751547545,-0.19582768257993166,-0.19166916974927517,-0.18794699808472615,-0.1845893325996144,-0.18153016609937822,-0.1787412118274574,-0.1760305427025628,-0.17379593504597324},
+{-0.8764587664383043,-0.504972350280326,-0.38223146067241487,-0.32455876356465296,-0.28987212940984364,-0.2687121075410346,-0.25106132572983597,-0.23806723082122971,-0.22772776318856813,-0.2192040563527371,-0.21204646939128224,-0.205926381689153,-0.2006007849990965,-0.19591980970341183,-0.19176097465617659,-0.18803840708432062,-0.18468032030489212,-0.18162074332542488,-0.17883136685554746,-0.17612017744886543,-0.17388496487575367},
+{-0.8762464117522484,-0.5049583178655723,-0.38228188159672527,-0.3246314068454126,-0.2899545127374381,-0.2687981532715753,-0.2511503065891816,-0.23815831935030474,-0.2278199746521068,-0.2192968236336128,-0.21213954463570417,-0.20601934966748559,-0.20069352592162204,-0.19601226407809236,-0.19185310242323794,-0.18813013438807502,-0.18477162310853146,-0.18171163275792424,-0.1789218306582825,-0.1762101162191243,-0.17397429889268778},
+{-0.8760344355082452,-0.5049447264837568,-0.38233272680434993,-0.3247044557771801,-0.29003728578959453,-0.26888457626569107,-0.25123965567138384,-0.2382497684522491,-0.22791253930381572,-0.21938993979972565,-0.21223296259967128,-0.2061126538683311,-0.20078659880664418,-0.19610504661199002,-0.19194555387639411,-0.18822218082016207,-0.18486324188182834,-0.18180283521536467,-0.17901260405386665,-0.17630035986218218,-0.1740639379436857},
+{-0.8758228387759175,-0.5049315772802743,-0.38238399741032936,-0.3247779114396394,-0.29012044962559,-0.2689713775626501,-0.25132937400019273,-0.23834157912511955,-0.2280054580747901,-0.21948340579825754,-0.21232672417676213,-0.20620629520027478,-0.20088000454802568,-0.1961981581936243,-0.19203832988188196,-0.18831454724153218,-0.18495517752182877,-0.1818943515064575,-0.17910368786971276,-0.1763909091964706,-0.1741538828826492},
+{-0.8756116226271331,-0.5049188714023671,-0.3824356945564773,-0.32485177491372497,-0.29020400527531365,-0.26905855818614555,-0.2514194625421169,-0.2384337523438944,-0.22809873190033159,-0.2195772225606447,-0.2124208302589068,-0.20630027457775668,-0.20097374403354706,-0.1962915997387995,-0.19213143125915622,-0.18840723450199448,-0.1850474308961907,-0.18198618246060505,-0.17919508294676234,-0.1764817650694681,-0.17424413455154308},
+{-0.8754007881361474,-0.5049066099944639,-0.3824878193685777,-0.3249260472769038,-0.29028795379610983,-0.26914611915202613,-0.2515099223206789,-0.2385262891102684,-0.2281923617230177,-0.2196713910217909,-0.212515281763217,-0.20639459291555795,-0.20106781815070462,-0.1963853721474038,-0.1922248588704747,-0.1885002434588614,-0.1851400029144088,-0.18207832890550435,-0.17928679013147075,-0.17657292837100158,-0.17433469379813005},
+{-0.8751903363808538,-0.5048947942038922,-0.3825403729783261,-0.3250007296055628,-0.2903722962162192,-0.2692340614871114,-0.2516007543123919,-0.23861919040086832,-0.22828634846041496,-0.21976591212154517,-0.21261007955678224,-0.20648925115864358,-0.2011622278013192,-0.19647947631852958,-0.19231861355854107,-0.18859357495955464,-0.18523289445397495,-0.1821707916554942,-0.17937881021515523,-0.17666439992461846,-0.1744255614515282},
+{-0.8749802684441192,-0.5048834251815038,-0.38259335652622894,-0.3250758229813755,-0.2904570335890071,-0.2693223862356149,-0.2516919595258287,-0.23871245722767753,-0.2283806930814194,-0.21986078679276488,-0.21270522457473362,-0.20658425020741333,-0.2012569738758998,-0.1965739131602504,-0.19241269617185708,-0.18868722985536124,-0.18532610640329494,-0.18226357154992456,-0.1794711440937249,-0.1767561806058211,-0.1745167383768944},
+{-0.8747705854059404,-0.5048725040806517,-0.382646771143925,-0.32515132849817974,-0.2905421669703401,-0.2694110944362933,-0.2517835389791685,-0.23880609056357116,-0.2284753965004711,-0.21995601597535597,-0.2128007177025779,-0.20667959100705957,-0.2013520572874654,-0.1966686836021836,-0.1925071075621645,-0.18878120902996898,-0.18541963967965103,-0.18235666941001227,-0.17956379257827848,-0.1768482712963646,-0.17460822541801235},
+{-0.8745612883564888,-0.5048620320635564,-0.382700617991361,-0.3252272472373079,-0.2906276974058528,-0.2695001871226168,-0.25187549363840844,-0.23890009142627378,-0.2285704596839082,-0.22005160061598872,-0.21289655986583966,-0.20677527446372324,-0.2014474789200449,-0.19676378852523158,-0.19260184857711238,-0.18887551331482655,-0.1855134951397872,-0.18245008608789703,-0.17965675652152413,-0.17694067287141024,-0.17470002339558732},
+{-0.8743523783836906,-0.5048520102824909,-0.38275489819551467,-0.3253035802920863,-0.2907136259710228,-0.2695896653162322,-0.2519678245424757,-0.2389944608195833,-0.22866588356617967,-0.22014754168390027,-0.2129927519642365,-0.20687130153442013,-0.20154323969092047,-0.19685922886742446,-0.19269692009777373,-0.1889701436112432,-0.1856076737264516,-0.18254382240627365,-0.17975003678088797,-0.1770333862190796,-0.17479213317346876},
+{-0.8741438565770636,-0.5048424399096803,-0.3828096129226424,-0.3253803287688015,-0.2907999537134742,-0.26967953007658707,-0.25206053267368134,-0.2390891997352469,-0.22876166908747564,-0.22024384009739606,-0.2130892949239751,-0.20696767313665987,-0.20163934050458465,-0.19695500552387557,-0.1927923229610542,-0.1890651007713018,-0.18570217631952346,-0.18263787921955554,-0.17984363420293903,-0.1771264122300522,-0.17488455557014504},
+{-0.8739357240342827,-0.5048333220969994,-0.3828647633046103,-0.32545749374151,-0.29088668168662934,-0.2697697824128795,-0.2521536190363918,-0.23918430917859723,-0.228857817204414,-0.22034049682798695,-0.2131861896538112,-0.20706439021688539,-0.20173578225592337,-0.19705111942272424,-0.19288805804040976,-0.1891603856656161,-0.185797003811615,-0.1827322573717538,-0.17993754965232256,-0.17721975180074878,-0.17497729144150753},
+{-0.8737279818547563,-0.5048246580221303,-0.3829203505176224,-0.325535076328606,-0.2909738109761406,-0.2698604234217328,-0.25224708467607115,-0.23927979017094003,-0.2289543288715663,-0.2204375128245033,-0.21328343708307784,-0.2071614537080677,-0.20183256588512677,-0.19714757147085038,-0.192984126201452,-0.1892559991873668,-0.18589215712279383,-0.18282695769056545,-0.18003178399175113,-0.1773134058126402,-0.1750703416171291},
+{-0.8735206311386605,-0.5048164488486577,-0.38297637570536835,-0.3256130776296118,-0.29106134263935246,-0.2699514541232588,-0.2523409305597397,-0.23937564371715325,-0.22905120504663046,-0.22053488904168717,-0.21338103814252918,-0.20725886456250464,-0.20192969230026847,-0.19724436259735967,-0.19308052831235045,-0.18935194222092377,-0.1859876371472069,-0.18292198107735658,-0.18012633807836664,-0.1774073752019376,-0.17516370692840155},
+{-0.8733136729897524,-0.5048086957503415,-0.3830328400342182,-0.3256914987473465,-0.2911492777560625,-0.2700428755522353,-0.25243515771575176,-0.2394718708440564,-0.22914844667400303,-0.22063262646690873,-0.21347899375217594,-0.20735662370236696,-0.20202716241300323,-0.1973414937304483,-0.19317726524712953,-0.1894482156355366,-0.18608344479082461,-0.1830173283378258,-0.18022121279398107,-0.17750166086972285,-0.175257388203363},
+{-0.8731071085127553,-0.5048013999063983,-0.3830897446620156,-0.3257703407882673,-0.29123761739271004,-0.2701346887657792,-0.2525297671565454,-0.23956847253879232,-0.2292460547064934,-0.22073072604524668,-0.21357730485169668,-0.20745473208813792,-0.20212497714663868,-0.19743896576079578,-0.19327433786452275,-0.1895448203433716,-0.18617958094057485,-0.1831130003662338,-0.1803164089988627,-0.17759626370752812,-0.17535138627351898},
+{-0.8729009388222835,-0.5047945624954764,-0.3831470907632024,-0.325849604862924,-0.2913263626306275,-0.2702268948264077,-0.2526247598827922,-0.23966544985324845,-0.22934403012391158,-0.2208291887512246,-0.21367597236951497,-0.20755319066461198,-0.20222313743596487,-0.1975367796284786,-0.193371747060894,-0.18964175722453547,-0.18627604651675256,-0.18320899801835822,-0.18041192759659452,-0.17769118465321299,-0.1754457019929987},
+{-0.8726951650307058,-0.5047881846799669,-0.3832048794913021,-0.32592929207862653,-0.29141551454591763,-0.2703194947813472,-0.25272013693319195,-0.23976280379099535,-0.22944237386872146,-0.22092801555925234,-0.21377499725463167,-0.2076520003930682,-0.2023216442090643,-0.19763493626044237,-0.19346949371413302,-0.18973902718846603,-0.18637284242856822,-0.18330532215367157,-0.18050776945489133,-0.17778642461644267,-0.17554033616784182},
+{-0.8724897882491405,-0.5047822676665419,-0.38326311203644536,-0.32600940357156105,-0.2915050742283256,-0.27041248969499065,-0.2528158992987528,-0.23986053538123997,-0.22954108692573527,-0.22102720745948545,-0.21387438044069995,-0.20775116220471546,-0.2024204983969753,-0.1977334365740262,-0.19356757870428964,-0.1898366311298787,-0.18646996955305895,-0.18340197366592292,-0.18060393547176545,-0.17788198452660708,-0.17563528962506325},
+{-0.8722848096015525,-0.5047768126314622,-0.38332178956994767,-0.32608994045347117,-0.29159504277600945,-0.2705058806217835,-0.25291204802272205,-0.23995864566541059,-0.22964017025054773,-0.22112676543491716,-0.21397412286819417,-0.20785067706384552,-0.2025197009378985,-0.19783228150248533,-0.1936660029157906,-0.18993456998362035,-0.18656742881546506,-0.18349895339872546,-0.18070042654449026,-0.17797786531212978,-0.17573056320350133},
+{-0.8720802302100878,-0.504771820767246,-0.38338091326960466,-0.32617090384547964,-0.2916854212729163,-0.2705996686210028,-0.25300858410935234,-0.24005713566373288,-0.22973962482399202,-0.2212266904689386,-0.21407422550998945,-0.20795054593213536,-0.2026192527649755,-0.19793147196554628,-0.19376476724170288,-0.19003284464605485,-0.1866652211048745,-0.18359626225731063,-0.18079724355754934,-0.17807406788966773,-0.17582615772965937},
+{-0.8718760511931691,-0.5047672932558385,-0.38344048431184774,-0.3262522948583637,-0.29177621078929405,-0.2706938547462414,-0.25310550856835334,-0.2401560063950683,-0.22983945159836594,-0.2213269835431788,-0.21417468929115557,-0.20805076975665315,-0.20271915482692293,-0.1980310088877104,-0.19386387256884063,-0.19013145601968517,-0.18676334731742372,-0.183693901112008,-0.18089438742924813,-0.17817059318377915,-0.17592207402179838},
+{-0.8716722736888585,-0.5047632313055601,-0.3835005038867507,-0.32633411464195206,-0.29186741245121084,-0.27078844008622127,-0.25320282245974113,-0.24025525892568567,-0.22993965156268814,-0.22142764565728612,-0.21427551517712118,-0.20815134950373704,-0.20281940807751653,-0.19813089321149846,-0.19396331980067316,-0.19023040505913968,-0.18686180835334198,-0.18379187083621673,-0.180991859059759,-0.1782674421564252,-0.17601831291148073},
+{-0.871468898817767,-0.5047596360952298,-0.38356097317029025,-0.32641636430338394,-0.29195902732880086,-0.27088342569555834,-0.2533005267624162,-0.24035489426148615,-0.23004022570250982,-0.22152867782500607,-0.21437670412962007,-0.20825228614012303,-0.20292001347320365,-0.19823112586163916,-0.19406310983487174,-0.19032969268920397,-0.1869606051110395,-0.18389017234522953,-0.18108965938773736,-0.1783646156969212,-0.17611487521486424},
+{-0.8712659277243233,-0.5047565088428314,-0.3836218933737996,-0.32649904499538707,-0.2920510565554082,-0.2709788126412036,-0.25339862253309775,-0.24045491348363157,-0.23014117500196107,-0.22163008106082316,-0.21447825710447432,-0.20835358063038711,-0.20302097195445867,-0.19833170777320674,-0.1941632435673455,-0.19042931984716915,-0.18705973849654356,-0.18398880651028549,-0.18118778931312818,-0.1784621147868961,-0.17621176178340647},
+{-0.8710633615391998,-0.5047538507415652,-0.38368326567461963,-0.32658215785619404,-0.2921435012246434,-0.2710746020007946,-0.2534971107906472,-0.24055531761308657,-0.2302425004189672,-0.22173185636165726,-0.214580175066601,-0.2084552339491097,-0.20312228449762415,-0.19843263987809223,-0.19426372191833252,-0.19052928746293674,-0.18715920940326214,-0.18408777422666844,-0.18128624975361163,-0.17855994033493516,-0.1763089734154164},
+{-0.8708612014030734,-0.5047516629961137,-0.3837450912793656,-0.32666570400266437,-0.29223636242249995,-0.2711707948390085,-0.25359599255483545,-0.24065610769508794,-0.230344202973356,-0.22183400473682013,-0.21468245898012128,-0.20855724705444345,-0.20322395204681243,-0.19853392309136098,-0.1943645457785692,-0.19062959647487787,-0.18725901871459882,-0.18418707640552157,-0.18138504166785197,-0.17865809328941396,-0.1764065109226749},
+{-0.8706594484606001,-0.5047499468180945,-0.3838073713757808,-0.3267496845851383,-0.2923296412801619,-0.2712673922458748,-0.2536952688703309,-0.2407572847922097,-0.23044628363481934,-0.2219365272105165,-0.21478510981046384,-0.20865962091988877,-0.20332597559297483,-0.19863555837139302,-0.1944657160662473,-0.19073024784597692,-0.18735916733436397,-0.18428671391626494,-0.18148416595511208,-0.1787565745817119,-0.17650437516692818},
+{-0.870458103858823,-0.5047487034179312,-0.3838701071799733,-0.3268341007560025,-0.2924233389126698,-0.2713643953042606,-0.25379494075548337,-0.24085884995338347,-0.2305487434153406,-0.22203942481115746,-0.21488812854431671,-0.20876235653651065,-0.20342835609238819,-0.19873754664780563,-0.19456723370382178,-0.1908312425314307,-0.18745965615681826,-0.18438668768732214,-0.18158362356967928,-0.1788553851485517,-0.17660256692926168},
+{-0.8702571687456668,-0.504747934010993,-0.3839332998900886,-0.32691895365479695,-0.29251745643460936,-0.27146180507588724,-0.2538950092580876,-0.24096080423930744,-0.23065158329558244,-0.2221426985830135,-0.21499151613573986,-0.2088654548640534,-0.20353109452520357,-0.19883988886090265,-0.19466909960806333,-0.19093258149297299,-0.18756048609748177,-0.18448699860721263,-0.1816834154687399,-0.1789545259583747,-0.1767010870449326},
+{-0.8700566442741433,-0.5047476398083859,-0.3839969507168348,-0.3270042444333967,-0.2926119949479471,-0.2715596226659045,-0.2539954754025189,-0.24106314871045242,-0.23075480430804873,-0.22224634953630584,-0.21509527357022762,-0.20896891691592145,-0.20363419188493026,-0.19894258594331404,-0.19477131468732978,-0.19103426569148496,-0.18766165804663615,-0.1845876475971977,-0.18178354256940565,-0.17905399793778543,-0.17679993632879132},
+{-0.8698565315970939,-0.5047478220338917,-0.3840610608688735,-0.32708997424123254,-0.2927069555993853,-0.27165784913944435,-0.25409634023793615,-0.2411658844255271,-0.23085840742857044,-0.2223503787276968,-0.21519940184117559,-0.20907274364111572,-0.20373764913711057,-0.19904563883170567,-0.19487387988635874,-0.19113629608756355,-0.18776317289461986,-0.18468863559019155,-0.18188400585552245,-0.17915380200861364,-0.1768991156050106},
+{-0.8696568318772222,-0.5047484819111787,-0.3841256315674286,-0.3271761442352954,-0.29280233950532875,-0.2717564856094441,-0.2541976048158858,-0.2412690124612027,-0.2309623936805565,-0.2224547871896334,-0.21530390191105653,-0.20917693605235854,-0.20384146729634267,-0.19914904848360493,-0.1949767961268094,-0.19123867366403147,-0.18786503155803302,-0.18478996346112808,-0.18198480625335378,-0.17925393916806343,-0.1769986256977063},
+{-0.8694575462760668,-0.5047496206618689,-0.3841906640329853,-0.3272627555734289,-0.2928981477836601,-0.2718555331606467,-0.2542992701391995,-0.2413725338697077,-0.23106676406541737,-0.2225595759663861,-0.21540877475746356,-0.20928149512639038,-0.20394564732760045,-0.1992528158223763,-0.1950800643153343,-0.19134139939279748,-0.1879672349376733,-0.18489163215150484,-0.18208594474060646,-0.17935441031886512,-0.17709846738989654},
+{-0.8692586759563312,-0.5047512395146327,-0.38425615948301584,-0.32734980941501135,-0.29299438158545854,-0.2719549928777951,-0.25440133730688785,-0.24147644975300864,-0.23117151961525906,-0.22266474613815035,-0.21551402138425146,-0.20938642186871448,-0.2040501902492906,-0.1993569418071388,-0.19518368542543385,-0.19144447426572242,-0.18806978395656415,-0.1849936425943497,-0.1821874222643487,-0.17945521645265217,-0.17719864153770004},
+{-0.8690602220873416,-0.5047533397093389,-0.3843221191434054,-0.32743730693300677,-0.2930910420313353,-0.2720548658697908,-0.2545038073320143,-0.2415807611632772,-0.23127666135252412,-0.22277029873498577,-0.21561964277236711,-0.2094917172801729,-0.20415509704866963,-0.19946142737688888,-0.1952876603793925,-0.19154789925562454,-0.18817267951436634,-0.18509599569654256,-0.18228923979029332,-0.1795563584856268,-0.17729914892237275},
+{-0.8688621858375427,-0.5047559224677798,-0.3843885442354349,-0.32752524926644355,-0.2931881302599777,-0.2721551532160902,-0.2546066812641925,-0.24168546917923095,-0.2313821902755535,-0.2228762348245823,-0.21572563991190918,-0.2095973823497843,-0.20426036874113151,-0.19956627347301037,-0.19539199010102948,-0.1916516753592532,-0.18827592252216618,-0.18519869243436915,-0.18239139829853457,-0.17965783739435892,-0.17739999038377618},
+{-0.8686645683861514,-0.5047589890374411,-0.3844554360079542,-0.3276136376112504,-0.29328564741484797,-0.2722558560489574,-0.25470996018850656,-0.24179057490260902,-0.23148810744095272,-0.22298255546115797,-0.2158320137858709,-0.20970341808413195,-0.20436600633280477,-0.19967148105735077,-0.1954966755565124,-0.191755803565286,-0.18837951391861907,-0.18530173368134228,-0.18249389875558109,-0.17975965413324957,-0.17750116671504657},
+{-0.8684673709086326,-0.5047625406563725,-0.3845227956838926,-0.3277024731364122,-0.29338359464077257,-0.2723569754660389,-0.2548136451300138,-0.24189607940633095,-0.23159441387787183,-0.2230892617372433,-0.2159387654012903,-0.2098098255040668,-0.20447201084022026,-0.1997770510639043,-0.19560171768023338,-0.19186028486882378,-0.18848345461839244,-0.1854051204514917,-0.18259674212845312,-0.17986180967716336,-0.17760267874297142},
+{-0.8682705945834073,-0.5047665785633058,-0.38459062450112924,-0.3277917569998863,-0.29348197308416957,-0.27245851255185016,-0.2549177371634528,-0.24200198378383675,-0.2317011106146083,-0.22319635472234722,-0.21604589573752264,-0.20991660559423053,-0.20457838327934041,-0.1998829844645229,-0.19570711743864422,-0.19196512027889412,-0.1885877455419518,-0.18550885364271608,-0.18269992939377744,-0.17996430498806149,-0.17770452727933161},
+{-0.8680742405945807,-0.5047711040051581,-0.38465892369737276,-0.32788149039612335,-0.29358078388531794,-0.27256046843513104,-0.255022237355945,-0.2421082891104902,-0.23180819867303626,-0.22330383546380972,-0.2161534058052439,-0.21002375940247475,-0.20468512464594824,-0.19998928219155232,-0.19581287575670103,-0.19207031077911552,-0.1886923876278388,-0.18561293422504832,-0.18280346152334914,-0.18006714102978094,-0.17780671314483243},
+{-0.8678783101331646,-0.5047761182404997,-0.38472769453250066,-0.32797167448808295,-0.2936800282022318,-0.27266284422609033,-0.25512714674914605,-0.24221499650212763,-0.23191567913352173,-0.22341170507559127,-0.21626129659404114,-0.21013128791986446,-0.20479223600591467,-0.20009594521263807,-0.19591899362143295,-0.19217585738005027,-0.18879738181482253,-0.18571736317602472,-0.18290733952562732,-0.18017031877360523,-0.1779092371539832},
+{-0.8676828043842306,-0.504781622514713,-0.38479693824041306,-0.3280623104726601,-0.29377970719963287,-0.27276564104869294,-0.25523246645462905,-0.24232210704877843,-0.23202355302652222,-0.22351996461185308,-0.21636956910504068,-0.21023919217788034,-0.20489971835922915,-0.20020297447172197,-0.19602547196723208,-0.19228176108208572,-0.1889027290357035,-0.18582214142190878,-0.18301156433966526,-0.1802738392046308,-0.17801210011600688},
+{-0.8674877245406947,-0.504787618085345,-0.3848666560753031,-0.32815339952350087,-0.2938798220191643,-0.27286886002013944,-0.25533819750449993,-0.2424296218387667,-0.2321318213973882,-0.22362861517143529,-0.21647822434562158,-0.21034747320101133,-0.20500757274015768,-0.20031037094668136,-0.19613231177845591,-0.192388022892942,-0.18900843023919833,-0.18592726997394493,-0.18311613699501095,-0.1803777033106826,-0.17811530287235655},
+{-0.8672930718045961,-0.5047941062077825,-0.38493684929852634,-0.32824494283272543,-0.293980373839247,-0.27297250224711433,-0.25544434100248736,-0.24253754199548894,-0.23224048531494645,-0.22373765785351907,-0.21658726331378375,-0.21045613201573588,-0.20511580019979192,-0.2004181355913488,-0.19623951401285922,-0.19249464383386794,-0.1891144863841987,-0.18603274978562467,-0.18322105845277292,-0.1804819120853267,-0.1782188462555041},
+{-0.867098847371409,-0.5048010881452001,-0.38500751916024,-0.32833694160291316,-0.29408136381067607,-0.2730765688788779,-0.25555089801923714,-0.24264586860556392,-0.2323495458367688,-0.2238470937357988,-0.21669668702799072,-0.210565169663937,-0.20522440175801648,-0.20052626938036155,-0.1963470796566753,-0.19260162490593302,-0.18922089840737044,-0.1861385818472172,-0.18332632970145823,-0.1805864665086574,-0.17832273106756702},
+{-0.8669050524444799,-0.504808565164808,-0.3850786669225954,-0.32842939700117313,-0.2941827930998784,-0.2731810610101775,-0.25565786962931725,-0.24275460277891625,-0.23245900401701647,-0.2239569239174557,-0.21680649647396422,-0.21067458714702525,-0.20533337846489985,-0.20063477325032864,-0.19645500965663132,-0.1927089671044655,-0.18932766725839656,-0.1862447671489349,-0.18343195174821858,-0.18069136755804038,-0.1784269581592639},
+{-0.8667116882316179,-0.5048165385347829,-0.3851502938579756,-0.32852231024020284,-0.29428466288851496,-0.2732859798027789,-0.2557652569494735,-0.24286374563649815,-0.23256886093213325,-0.22406714949295292,-0.21691669268312808,-0.21078438552711987,-0.20544273135971025,-0.20074364819646462,-0.19656330501186403,-0.1928166714455415,-0.18943479391538176,-0.18635130667468047,-0.18353792556507642,-0.18079661625131394,-0.17853152837318476},
+{-0.8665187559356582,-0.5048250095218805,-0.38522240122097173,-0.32861568252451434,-0.2943869743418759,-0.2733913263997465,-0.2558730610298312,-0.242973298270158,-0.2326791176600409,-0.22417777156442753,-0.21702727665984867,-0.21089456585184507,-0.2055524615060449,-0.2008528951823223,-0.19667196671457532,-0.19292473893972328,-0.1895422793249395,-0.18645820144445224,-0.18364425216310565,-0.18090221358067993,-0.17863644254151723},
+{-0.8663262567801269,-0.5048339794092271,-0.38529499029851877,-0.3287095150451478,-0.29448972864395273,-0.27349710189241705,-0.255981282995549,-0.24308326181824214,-0.23278977527104416,-0.22428879123685874,-0.2171382494115619,-0.2110051291310242,-0.2056625699444794,-0.2009625151815726,-0.19678099573576446,-0.19303317060786185,-0.18965012448950347,-0.1865654524262368,-0.18375093252080887,-0.1810081605519258,-0.17874170152458646},
+{-0.8661341919718097,-0.5048434494719345,-0.3853680623552691,-0.32880380902656725,-0.29459292697492856,-0.27360330746273576,-0.2560899239497303,-0.2431936373843655,-0.23290083484329216,-0.22440020961295204,-0.21724961197429593,-0.2111160764401916,-0.20577305773582566,-0.20107250918044883,-0.19689039307070288,-0.19314196744932133,-0.18975833034170364,-0.18667306066583933,-0.1838579676449399,-0.18111445817311278,-0.17884730618811773},
+{-0.865942562734773,-0.5048534209851141,-0.38544161868276205,-0.3288985656425325,-0.294696570499525,-0.27370994423125694,-0.25619898496353244,-0.24330442607697478,-0.23301229745993624,-0.2245120277893875,-0.2173613653436064,-0.21122740880332458,-0.20588392592895843,-0.2011828781334657,-0.19700015971716311,-0.19325113044931186,-0.18986689785037925,-0.18678102717603906,-0.1839653585422525,-0.18122110743536268,-0.17895325737947587},
+{-0.8657513702867163,-0.5048638952351894,-0.3855156605395109,-0.32899378611608654,-0.2948006604144666,-0.2738170133470703,-0.2563084671837146,-0.24341562902128544,-0.23312416421197213,-0.22462424687375915,-0.21747351055273612,-0.21133912727611914,-0.20599517558372327,-0.20129362303282505,-0.1971102966800231,-0.193360660633914,-0.18997582802091983,-0.18688935294750308,-0.18407310618960082,-0.18132810935958332,-0.1790595559734811},
+{-0.865560615857305,-0.5048748735171671,-0.38559018923166377,-0.32908947168124314,-0.29490519792449277,-0.27392451599496326,-0.2564183716868911,-0.24352724734853837,-0.23323643620807388,-0.22473686799258985,-0.21758604862532138,-0.21145123291972823,-0.2061068077885011,-0.2014047448736278,-0.1972208049747337,-0.19347055901056365,-0.19008512180965909,-0.18699803904240753,-0.18418121159112388,-0.18143546494832208,-0.1791662028514338},
+{-0.8653703006726801,-0.5048863571174707,-0.3856652060458714,-0.3291856235262003,-0.2950101842051822,-0.27403245327582226,-0.256528699610044,-0.24363928217036346,-0.2333491145217863,-0.22484989225546315,-0.21769898058562376,-0.21156372678046864,-0.20621882359017718,-0.20151624463943563,-0.19733168560645709,-0.19358082658288822,-0.19019478022823932,-0.1871070864694957,-0.18428967577938238,-0.18154317522748897,-0.17927319890975468},
+{-0.8651804259669404,-0.5048983473259909,-0.3857407122686709,-0.32928224289042873,-0.29511562045144046,-0.2741408263739231,-0.25663945207338656,-0.24375173462055955,-0.23346220028219022,-0.2249633207651982,-0.21781230747876634,-0.21167660992750825,-0.20633122406877646,-0.201628123316425,-0.19744293960019377,-0.1936914643513319,-0.1903048042469777,-0.18721649627195802,-0.18439849973367473,-0.1816512411843405,-0.17938054502440082},
+{-0.8649909929750947,-0.5049108454448401,-0.3858167092007534,-0.32937933097923633,-0.2952215078602194,-0.2742496364504632,-0.2567506301724052,-0.24386460581331448,-0.23357569456703686,-0.22507715464564626,-0.21792603031758517,-0.2117898834086418,-0.20644401028721404,-0.2017403818986736,-0.19755456796798398,-0.19380247331105238,-0.1904151948439221,-0.1873262695164044,-0.18450768445518406,-0.1817596638491068,-0.17948824211123338},
+{-0.8648020029315546,-0.5049238527716966,-0.38589319813729617,-0.3294768890231694,-0.29532784764614917,-0.27435888465475955,-0.2568622350778469,-0.24397789688998728,-0.23368959850478177,-0.2251913949933737,-0.21804015015516143,-0.21190354830889646,-0.20655718334575113,-0.20185302139566375,-0.19766657176433,-0.19391385447278253,-0.19052595305191744,-0.18743640720606436,-0.18461723097107097,-0.18186844425338222,-0.17959629108418085},
+{-0.8646134570858806,-0.5049373706156643,-0.38597018038700526,-0.3295749182577765,-0.2954346409978825,-0.27446857218058085,-0.25697426787735367,-0.24409160896050253,-0.23380391321569505,-0.22530604294172463,-0.21815466802439687,-0.21201760566333405,-0.20667074429110244,-0.20196604278771702,-0.19777895199331397,-0.1940256088263368,-0.19063707984156508,-0.1875469104139711,-0.18472714026586345,-0.18197758339431402,-0.17970469285160107},
+{-0.8644253566741327,-0.5049514002791398,-0.38604765725381185,-0.32967341990149635,-0.29554188913846247,-0.27457870016178276,-0.25708672973735247,-0.24420574317736055,-0.23391863980913286,-0.2254210996292727,-0.2182695849656966,-0.21213205657619483,-0.20678469422648504,-0.20207944710324455,-0.19789170972558168,-0.19413773741121076,-0.19074857623576236,-0.18765778016609147,-0.1848374133658126,-0.18208708229394688,-0.17981344835743585},
+{-0.864237702956558,-0.5049659430782754,-0.3861256300515947,-0.32977239520482726,-0.2956495932693315,-0.27468926980748165,-0.2571996217823198,-0.2443203006597514,-0.23403377941974668,-0.22553656613820294,-0.21838490205055905,-0.21224690210095787,-0.2068990342476127,-0.20219323532745648,-0.19800484599721813,-0.19425024117890644,-0.19086044321636564,-0.18776901756598363,-0.18494805126647407,-0.1821969419921743,-0.17992255852186645},
+{-0.8640504971712346,-0.5049810003162634,-0.3862041000798513,-0.3298718453719971,-0.29575775460364184,-0.274800282251249,-0.2573129451520231,-0.24443528253374325,-0.23414933315513053,-0.22565244361146597,-0.21850062030290474,-0.21236214330247094,-0.20701376541842365,-0.20230740847887319,-0.19811836185692755,-0.19436312116408772,-0.19097268181542404,-0.18788062364342295,-0.1850590550046718,-0.18230716349535214,-0.18003202430156762},
+{-0.8638637405867371,-0.5049965733249451,-0.386283068688158,-0.3299717716749342,-0.29586637435619423,-0.27491173871078445,-0.2574267010073754,-0.24455068995064266,-0.23426530217778918,-0.2257687331658076,-0.21861674078945725,-0.21247778127781203,-0.20712888883917913,-0.20242196757823194,-0.19823225838030112,-0.19447637835889964,-0.1910852930503779,-0.18799259944955793,-0.18517042555606622,-0.18241774783405162,-0.18014184664980348},
+{-0.8636774344534786,-0.5050126634148455,-0.38636253716413194,-0.33007217534873234,-0.29597545376742573,-0.27502364037508187,-0.25754089047876505,-0.2446665240395305,-0.23438168761470024,-0.22588543592655697,-0.21873326459262898,-0.21259381711354308,-0.20724440560428548,-0.20253691363853932,-0.19834653661473567,-0.19459001377708773,-0.19119827794770572,-0.18810494608669615,-0.1852821639722606,-0.1825286960699941,-0.18025202652722783},
+{-0.8634915800367935,-0.5050292719158165,-0.38644250685678116,-0.330173057625359,-0.2960849940430421,-0.2751359883843634,-0.2576555147350632,-0.244782785939492,-0.23449849061063333,-0.22600255303223094,-0.21885019273457829,-0.21271025184381642,-0.20736031679064126,-0.2026522476743935,-0.1984611976434394,-0.1947040284361492,-0.19131163751990243,-0.18821766459780065,-0.1853942712573371,-0.18264000922476953,-0.18036256491359381},
+{-0.8633061785983784,-0.5050464001504338,-0.386522979073618,-0.3302744197629863,-0.2961949964039263,-0.2752487839762239,-0.257770574929566,-0.24489947677955115,-0.23461571230541267,-0.2261200855788843,-0.21896752632414973,-0.21282708662124605,-0.20747662351953977,-0.20276797073103126,-0.19857624254279926,-0.19481842332572796,-0.19142537280345095,-0.1883307560655112,-0.18550674841810633,-0.18275168833690714,-0.1804734628121878},
+{-0.8631212314093659,-0.5050640494622485,-0.38660395516996005,-0.33037626301853606,-0.2963054621006904,-0.27536202832050094,-0.25788607221829807,-0.2450165977190295,-0.2347333538673979,-0.22623803472407644,-0.21908526642238257,-0.21294432249788997,-0.2075933268616268,-0.202884083818617,-0.19869167240892693,-0.19493319947355303,-0.1915394848535925,-0.18844422157553709,-0.18561959649832716,-0.18286373446949256,-0.18058472120833358},
+{-0.86293673974086,-0.5050822211642298,-0.3866854364603114,-0.3304785886334116,-0.29641639235057937,-0.2754757226127822,-0.25800200779019633,-0.24513414988473414,-0.23485141644113128,-0.22635640157722037,-0.21920341410924493,-0.2130619605682682,-0.2077104279325681,-0.20300058797170095,-0.198807488315083,-0.19504835790019115,-0.19165397469964773,-0.18855806217118243,-0.1857328164842329,-0.18297614867492484,-0.180696341108046},
+{-0.8627527048680577,-0.5051009166149356,-0.38676742429328215,-0.3305813978787455,-0.29652778839937355,-0.27558986808423924,-0.25811838277275,-0.24525213442882432,-0.23496990119701877,-0.22647518727529814,-0.21932197047965474,-0.2131800019336083,-0.207827927826429,-0.20311748423455356,-0.19892369137005517,-0.19516389961927416,-0.19176884339765365,-0.18867227897078465,-0.1858464094308374,-0.18308893202220133,-0.1808083235474669},
+{-0.862569128071442,-0.5051201371482534,-0.38684992002407625,-0.3306846920086173,-0.2966396514908638,-0.2757044658948189,-0.2582351983761555,-0.24537055251272477,-0.2350888093048411,-0.22659439295517814,-0.21944093661301167,-0.21329844768411022,-0.20794582765756786,-0.20323477365104736,-0.19904028265716533,-0.19527982566592073,-0.1918840920089906,-0.1887868730309492,-0.1859603763546147,-0.1832020855850942,-0.18092066956330655},
+{-0.8623860106337702,-0.5051398841050627,-0.3869329249902762,-0.33078847230046904,-0.2967519828587797,-0.27581951730030596,-0.2583524557651913,-0.24548940527552077,-0.23520814193494743,-0.22671401974741912,-0.21956031361150963,-0.21341729893526917,-0.20806412852823541,-0.20335245726653284,-0.19915726331544192,-0.1953961370641082,-0.19199972159276513,-0.18890184545023203,-0.18607471827499467,-0.18331561044089995,-0.18103338018511295},
+{-0.8622033538349285,-0.5051601588377252,-0.38701644053423934,-0.330892739997239,-0.29686478374884473,-0.2759350234543376,-0.2584701560979852,-0.24560869385533124,-0.23532790026268913,-0.22683406877740708,-0.21968010256944126,-0.21353655676790595,-0.20818283151862715,-0.20347053610305466,-0.1992746344136549,-0.1955128348447488,-0.19211573321058495,-0.18901719730911282,-0.1861894362232306,-0.1834295076678245,-0.18114645647540328},
+{-0.8620211589729365,-0.5051809627051966,-0.3871004680280521,-0.33099749639575293,-0.2969780554242334,-0.2760509856215094,-0.2585883005952496,-0.2457284194426279,-0.2354480854717167,-0.22695454118820635,-0.21980030460753142,-0.2136562223120677,-0.20830193776191663,-0.20358901125098328,-0.19939239711254686,-0.1956299200543299,-0.1922321279599828,-0.18913292968738915,-0.18630453123159896,-0.18354377837795255,-0.18125989949987797},
+{-0.8618394273309207,-0.5052022970504026,-0.3871850088065685,-0.33110274275207985,-0.2970917991185047,-0.27616740501514414,-0.2587068904002763,-0.24584858316410418,-0.2355686987617105,-0.2270754381109441,-0.21992092084178694,-0.21377629666847042,-0.20842144835648924,-0.20370788373406867,-0.1995105525143117,-0.19574739372524164,-0.19234890690859174,-0.1892490436925982,-0.18642000432907935,-0.18365842366517882,-0.18137371032082683},
+{-0.8616581602132953,-0.5052241632410528,-0.38727006426034905,-0.33120848035605377,-0.29720601612211794,-0.27628428282315554,-0.2588259267374724,-0.24596918620909491,-0.2356897413046113,-0.22719676068425088,-0.22004195237326485,-0.2138967809420933,-0.20854136441732862,-0.20382715463483692,-0.1996291017438807,-0.19586525691215684,-0.1924660711594015,-0.18936554039419207,-0.18653585657636995,-0.1837734446534114,-0.18148789004408172},
+{-0.8614773589129641,-0.5052465626346816,-0.38735563573385434,-0.3313147104942118,-0.29732070766203833,-0.27640162030803594,-0.25894541079185274,-0.24609022973476158,-0.2358112143181188,-0.2273185100626165,-0.22016340034434734,-0.21401767627651225,-0.20866168707107136,-0.20394682501068928,-0.19974804594050966,-0.19598351067850217,-0.19258362179812138,-0.18948242090459644,-0.18665208896948116,-0.18388884245553072,-0.1816024397610363},
+{-0.8612970247313569,-0.505269496598828,-0.3874417246046846,-0.3314214344341053,-0.2974358750137185,-0.27651941867407004,-0.2590653437374044,-0.24621171489633298,-0.2359331189990712,-0.2274406873600583,-0.22028526586916541,-0.21413898376420093,-0.20878241740138037,-0.20406689593482952,-0.199867386230153,-0.19610215604666337,-0.19270155992899163,-0.1895996863216851,-0.1867687026024214,-0.1840046182031756,-0.1817173605741118},
+{-0.8611171589798516,-0.5052929665049533,-0.3875283322358314,-0.3315286534686379,-0.2975515194415834,-0.2766376791537368,-0.25918572679859153,-0.24633364287967652,-0.23605545654027082,-0.22756329372003847,-0.22040755009658142,-0.21426070453946977,-0.20890355652193193,-0.2041873684481743,-0.19998712375490868,-0.19622119409712013,-0.19281988665602512,-0.18971733770888477,-0.18688569846881364,-0.18412077303025853,-0.18183265358379685},
+{-0.8609377629684332,-0.5053169737235521,-0.3876154600285986,-0.33163636890043335,-0.29766764222483744,-0.27675640302391,-0.2593065611500265,-0.24645601485804036,-0.23617822819039702,-0.22768633030813135,-0.2205302541623837,-0.21438283973714078,-0.2090251055740282,-0.2043082436655368,-0.2001072596577842,-0.19634062589398127,-0.19293860310244781,-0.1898353761881708,-0.1870030776403837,-0.18423730807865013,-0.18194831992866511},
+{-0.8607588380071434,-0.5053415196360334,-0.38770310934125973,-0.33174458201381185,-0.29778424463825104,-0.2768755914619305,-0.2594278480308958,-0.2465788320268416,-0.2363014351250854,-0.22780979825762415,-0.2206533792081018,-0.21450539049158124,-0.2091470656554293,-0.20442952265034364,-0.20022779507598898,-0.19646045251249689,-0.19305771039705633,-0.18995380285139163,-0.18712084117873928,-0.18435422450272654,-0.18206436074024168},
+{-0.8605803854129022,-0.5053666056189741,-0.38779128156380693,-0.3318532941222543,-0.2979013279406786,-0.27699524576325985,-0.25954958862610056,-0.24670209554602707,-0.2364250786094999,-0.2279336987147076,-0.22077692640982605,-0.21462835793420254,-0.20926943790050245,-0.20455120648841785,-0.20034873117776897,-0.19658067502030008,-0.19317720966341767,-0.1900726188093813,-0.1872389901252518,-0.18447152345390805,-0.18218077714232095},
+{-0.8604024065054432,-0.5053922330529304,-0.3878799780832196,-0.3319625065112177,-0.2980188934303669,-0.27711536714002705,-0.2596717841430518,-0.246825806623292,-0.23654915983644287,-0.22805803281460157,-0.22090089689305614,-0.21475174319607504,-0.20939222340848573,-0.20467329626239916,-0.20047006907850573,-0.1967012944836597,-0.19329710203237482,-0.19019182516592537,-0.18735752553959628,-0.18458920608998142,-0.18229757028700533},
+{-0.8602249026066886,-0.5054184033248816,-0.3879692002969932,-0.33207222049639995,-0.2981369423922047,-0.27723595685876035,-0.2597944358175823,-0.24694996644547018,-0.23667368006397282,-0.2281828017181624,-0.221025291847468,-0.21487554744544468,-0.2095154233162475,-0.20479579306925189,-0.20059180996588566,-0.19682231199169564,-0.19341738864955005,-0.19031142298922532,-0.1874764484878142,-0.1847072735798747,-0.18241474131912128},
+{-0.8600478750485934,-0.5054451178385193,-0.3880589495931872,-0.33218243739014497,-0.2982554761066467,-0.27735701618297526,-0.25991754483561635,-0.2470745761970079,-0.2367986405205329,-0.2283080065688523,-0.2211501124205597,-0.21499977181133545,-0.2096390387265501,-0.20491869799286633,-0.20071395495494926,-0.19694372862011278,-0.19353807065385809,-0.19043141341251157,-0.1875957600180982,-0.18482572706193423,-0.1825322913899754},
+{-0.859871325157826,-0.5054723779765595,-0.38814922738419,-0.33229315850041985,-0.29837449587569154,-0.27747854633753377,-0.2600411124469133,-0.2471996371041314,-0.23692404244991394,-0.22843364853480352,-0.22127535979632285,-0.2151244174618796,-0.2097630707822873,-0.20504201215874218,-0.20083650523235974,-0.19706554548236,-0.19365914920535943,-0.19055179754002438,-0.18771546124241922,-0.18494456773521506,-0.1826502216587187},
+{-0.8596952542721965,-0.5055001851401357,-0.388240035054082,-0.3324043851619649,-0.2984940029746781,-0.2776005486286408,-0.260165139856781,-0.24732515035276492,-0.23704988709988584,-0.228559728752316,-0.22140103516699128,-0.21524948554747425,-0.20988752061145988,-0.2051657366382642,-0.20095946192589054,-0.19718776365039048,-0.19378062544444674,-0.19067257647964198,-0.18783555317577338,-0.18506379675693552,-0.182768533289277},
+{-0.859519663720647,-0.5055285407271413,-0.3883313740192875,-0.33251611866722897,-0.29861399871890626,-0.2777230242767814,-0.26028962828701196,-0.24745111715168377,-0.23717617571338678,-0.2286862483836103,-0.22152713969126125,-0.2153749772219271,-0.21001238931796706,-0.20528987256102482,-0.20108282619435158,-0.19731038421389258,-0.19390250055516844,-0.19079375132866971,-0.18795603696605667,-0.18518341530023008,-0.1828872274436435},
+{-0.8593445548564489,-0.5055574461518972,-0.3884232456974246,-0.3326283603636284,-0.2987344844048607,-0.27784597456974325,-0.26041457898844556,-0.2475775387178487,-0.2373029095568313,-0.22881320858766685,-0.22165367456670992,-0.21550089366871816,-0.21013767804390682,-0.2054144210198956,-0.20120659919541595,-0.19743340829541012,-0.19402477567223286,-0.19091532317668225,-0.18807691363451795,-0.18530342453038884,-0.1830063052756259},
+{-0.8591699290146266,-0.5055869028174129,-0.38851565149150247,-0.3327411115820951,-0.29885546135074037,-0.27796940081623234,-0.26053999317099397,-0.24770441627811124,-0.2374300899030004,-0.22894061053352743,-0.2217806409937566,-0.21562723606928103,-0.21026338791750732,-0.20553938315504183,-0.20133078207584276,-0.19755683698554094,-0.19414745200242578,-0.19103729318760543,-0.18819818430984014,-0.18542382563248339,-0.18312576798416558},
+{-0.8589957875489347,-0.505616912137441,-0.3886085928272678,-0.33285437363957726,-0.29897693085467836,-0.27809330420728884,-0.26066587207520797,-0.24783175103732447,-0.23755771799699232,-0.22906845536908804,-0.22190804014769583,-0.21575400557651392,-0.21038952005892497,-0.2056647600678616,-0.201455375990804,-0.19768067141717438,-0.19427053069000522,-0.19115966243475668,-0.1883198500721619,-0.18554461977430492,-0.1832456167288683},
+{-0.8588221318048568,-0.5056474755256772,-0.3887020711119362,-0.3329681478874136,-0.299098894221288,-0.2782176860985146,-0.26079221694362786,-0.2479595442159166,-0.23768579511346388,-0.2291967442661189,-0.2220358732531622,-0.21588120339447414,-0.210516075621058,-0.20579055289329062,-0.20158038208955986,-0.19780491266453737,-0.19439401292368075,-0.19128243203658712,-0.18844191200957994,-0.18566580811580025,-0.18336585270435535},
+{-0.858648963143537,-0.5056785944105968,-0.38879608779490127,-0.3330824356680182,-0.29922135278121686,-0.27834254773546263,-0.26091902900742525,-0.2480877970635902,-0.2378143225388385,-0.22932547840116513,-0.2221641415032991,-0.21600883071027965,-0.21064305571383102,-0.20591676275728332,-0.20170580152478124,-0.19792956187075106,-0.19451789988886503,-0.19140560314201593,-0.18856437125168668,-0.18578739184806636,-0.1834864770880813},
+{-0.8584762829270574,-0.5057102702112388,-0.38889064429008613,-0.3331972383203379,-0.29934430785971244,-0.2784678904257589,-0.26104630954296226,-0.24821651079685125,-0.23794330154561294,-0.22945465893860728,-0.22229284611228195,-0.21613688872025705,-0.21077046149309808,-0.2060433908085315,-0.201831635451299,-0.19805462016711317,-0.19464219277858774,-0.19152917681890358,-0.18868722887975764,-0.18590937215526537,-0.1836074910811476},
+{-0.8583040925076091,-0.5057425043439707,-0.3889857420206795,-0.33331255719332376,-0.2994677607626386,-0.2785937154533258,-0.2611740597367316,-0.24834568664351764,-0.23807273340679558,-0.22958428705078404,-0.22242198828848814,-0.21626537860845474,-0.21089829407787875,-0.20617043816264413,-0.20195788499574974,-0.19818008867105164,-0.1947668927406312,-0.19165315421366813,-0.1888104860004205,-0.18603175018563434,-0.18372889585157282},
+{-0.8581323932561418,-0.5057752982525585,-0.38908138244227075,-0.33342839363467647,-0.29959171283735486,-0.2787200240800871,-0.26130228088396734,-0.24847532586653642,-0.23820261940886667,-0.2297143639218575,-0.22255156924882158,-0.2163943015842733,-0.2110265546169785,-0.20629790598354703,-0.20208455130398306,-0.19830596852114013,-0.19489200101850201,-0.1917775364188401,-0.1889341437516805,-0.18615452712242586,-0.18385069262330944},
+{-0.857961186541587,-0.5058086533657615,-0.38917756698162975,-0.3335447490181309,-0.2997161653943863,-0.2788468176585752,-0.2614309742319847,-0.2486054296787188,-0.23833296085126676,-0.22984489072371161,-0.2226815902272392,-0.21652365886711777,-0.21115524425636067,-0.20642579541333816,-0.20221163554595023,-0.19843226084469734,-0.1950175187807872,-0.19190232459300205,-0.18905820322447653,-0.1862777041388881,-0.1839728825785869},
+{-0.857790473738504,-0.5058425711236509,-0.3892742970800782,-0.33366162469394567,-0.29984111978637884,-0.27897409743690105,-0.2615601410183217,-0.24873599933596324,-0.2384637590116654,-0.2299758686384621,-0.22281205242404667,-0.21665345167832584,-0.21128436412607243,-0.2065541076125328,-0.2023391388354412,-0.19855896680815022,-0.19514344720846566,-0.19202751985642408,-0.18918266556715935,-0.18640128240986087,-0.18409546692805634},
+{-0.8576202562263973,-0.5058770529698791,-0.3893715742038353,-0.3337790220319903,-0.29996657734557175,-0.2791018647547503,-0.26168978253133446,-0.2488670361004779,-0.23859501520200865,-0.23010729885902492,-0.2229429570886623,-0.21678368121729363,-0.21141391537969412,-0.206682843765293,-0.2024670623422935,-0.19868608754495654,-0.19526978754106494,-0.19215312330891265,-0.18930753190454652,-0.18652526310484063,-0.1842184468640653},
+{-0.8574505353767563,-0.5059121003412201,-0.38946939977273587,-0.3338969423958247,-0.30009253941744873,-0.2792301209288439,-0.2618198999994661,-0.24899854119746578,-0.2387267307217371,-0.23023918258138565,-0.22307430544628915,-0.21691434874890092,-0.2115438991584142,-0.20681200500678187,-0.20259540721042413,-0.19881362423984683,-0.19539654093716763,-0.19227913610973246,-0.18943280335599866,-0.18664964740685264,-0.18434182361193052},
+{-0.8572813125829839,-0.5059477146970153,-0.38956777527045006,-0.33401538717146195,-0.30021900734976725,-0.2793588672244596,-0.2619504947197129,-0.24913051590908708,-0.2388589068635838,-0.23037152098152092,-0.22320609871997021,-0.21704545546526788,-0.21167431662206582,-0.2069415925342355,-0.20272417456385483,-0.19894157803435064,-0.1955237086356192,-0.19240555936551118,-0.18955848107452766,-0.1867744364842565,-0.18446559836570486},
+{-0.8571125892295299,-0.505983897490978,-0.38966670214858823,-0.3341343577423572,-0.30034598249380906,-0.2794881050222102,-0.2620815679609336,-0.2492629614881139,-0.23899154495154562,-0.2305043152871349,-0.22333833818777293,-0.21717700263332063,-0.2118051689396907,-0.20707160753988774,-0.20285336557321898,-0.19906995012672724,-0.19565129183172303,-0.19253239425313495,-0.18968456618813434,-0.18689963148835886,-0.18458977235775365},
+{-0.8569443667050507,-0.5060206501653397,-0.3897661818548386,-0.3342538554666703,-0.30047346619790005,-0.27961783557759645,-0.2622131209727172,-0.2493958791676505,-0.23912464627983354,-0.2306375666612439,-0.2234710250346552,-0.21730899149270044,-0.2119364572287168,-0.20720205119562252,-0.2029829813776587,-0.19919874165998408,-0.19577929173215125,-0.19265964188559792,-0.1898110598584708,-0.1870252335851319,-0.18471434678076548},
+{-0.8567766464050521,-0.5060579741938227,-0.38986621585814873,-0.3343738817446251,-0.3006014598207116,-0.2797480602448559,-0.2623451550539926,-0.24952927022172844,-0.23925821215459564,-0.23077127632870997,-0.22360416055016685,-0.21744142326963356,-0.21206818265966376,-0.20733292469185471,-0.20311302313359647,-0.19932795385238933,-0.1959077095370958,-0.19278730336418448,-0.18993796320899037,-0.18715124396362626,-0.18483932284402727},
+{-0.8566094297333962,-0.5060958710326418,-0.3899668056408814,-0.3344944379716708,-0.30072996473120384,-0.27987878037265546,-0.26247767146668366,-0.24966313592142342,-0.23939224391449443,-0.2309054455124624,-0.22373774595405393,-0.21757429924684857,-0.21220034640248286,-0.20746422925481056,-0.20324349197824176,-0.19945758789253887,-0.19603654646459745,-0.19291537989568042,-0.1900652774095306,-0.18727766376116506,-0.18496470176819457},
+{-0.8564427180901362,-0.506134342162909,-0.3900679526638555,-0.33461552554183527,-0.30085898229981467,-0.2800099972497492,-0.2626106715267156,-0.24979747754082382,-0.23952674286420006,-0.23104007541223837,-0.22387178253086404,-0.21770762067535543,-0.21233294962507898,-0.20759596609650544,-0.20337438909086814,-0.1995876449836942,-0.1961658037438383,-0.1930438726169541,-0.19019300362947433,-0.18740449417020955,-0.18509048476619228},
+{-0.8562765128763203,-0.5061733890348137,-0.3901696584041474,-0.3347371458548878,-0.3009885138782238,-0.2801417122590806,-0.26274415649226057,-0.24993229633719238,-0.23966171033691808,-0.2311751672380069,-0.22400627152171637,-0.21784138882117077,-0.21246599349512962,-0.20772813641247012,-0.2035057156218727,-0.1997181263384391,-0.19629548257933038,-0.19317278266134963,-0.19032114300784997,-0.18753173631137088,-0.1852166730625413},
+{-0.8561108155059856,-0.5062130131408935,-0.3902719243410502,-0.33485930031048383,-0.3011185608579581,-0.28027392668627726,-0.26287812767668584,-0.250067593585527,-0.23979714764413984,-0.23131072221315208,-0.22414121417102706,-0.2179756049442858,-0.21259947917155841,-0.20786074146087685,-0.20363747273097488,-0.19984903316196778,-0.19642558418081535,-0.1933021112156439,-0.19044969671756462,-0.18765939137222176,-0.18534326785800204},
+{-0.855945627391975,-0.5062532159531656,-0.3903747519591434,-0.33498199031589593,-0.3012491246111608,-0.28040664191348696,-0.26301258637829505,-0.2502033705609392,-0.23993305612145832,-0.23144674157674672,-0.22427661176277525,-0.21811027034380004,-0.21273340783795902,-0.20799378244112177,-0.2037696616022231,-0.1999803666939215,-0.19655610977883953,-0.19343185940476815,-0.19057866593880135,-0.18778746051907547,-0.18547027036129293},
+{-0.8557809499499172,-0.5062939989523443,-0.39047814274698567,-0.3351052172969844,-0.3013802065102027,-0.28053985929398095,-0.26314753387555356,-0.25033962853501635,-0.24006943710924133,-0.23158322654626318,-0.2244124655609312,-0.2182453862632201,-0.21286778066223633,-0.20812726060808018,-0.20390228337680583,-0.20011212816325497,-0.19668706058689622,-0.19356202840231163,-0.19070805181684136,-0.18791594486197027,-0.18559768179738967},
+{-0.8556167846022049,-0.5063353636218721,-0.390582098193363,-0.33522898265306367,-0.3015118079603667,-0.28067358012350496,-0.2632829715092271,-0.250476368794466,-0.2402062919168202,-0.23172017836657233,-0.22454877681434482,-0.21838095401676583,-0.21300259883537365,-0.2082611772287919,-0.2040353392644647,-0.2002443188083589,-0.19681843783303066,-0.19369261939743865,-0.19083785556881594,-0.18804484560075707,-0.18572550336136828},
+{-0.8554531327757786,-0.5063773114635524,-0.3906866197901877,-0.3353532878346641,-0.3016439303377183,-0.28080780583360365,-0.2634189005686949,-0.2506135926112165,-0.24034362191025593,-0.231857598276747,-0.2246855468368949,-0.21851697489557864,-0.21313786354619424,-0.20839553354312557,-0.2041688304343552,-0.2003769398907025,-0.19695024272948558,-0.19382363356567112,-0.19096807833864204,-0.1881741638742369,-0.1858537362692232},
+{-0.8552899958898479,-0.5064198439580991,-0.39079170902067517,-0.33547813422899253,-0.3017765750357171,-0.28094253771126887,-0.2635553223660736,-0.2507513012764093,-0.24048142841172648,-0.23199548749505539,-0.22482277686083307,-0.21865345017624804,-0.2132735759781781,-0.20853033081016292,-0.20430275806700138,-0.20050999264390157,-0.19708247650578414,-0.1939550720751413,-0.19109872135015848,-0.1883039008216656,-0.18598238172944548},
+{-0.8551273753882356,-0.50646296261732,-0.3908973674195977,-0.3356035232897625,-0.3019097434561786,-0.2810777771679227,-0.2636922382511102,-0.2508894960554926,-0.2406197127733094,-0.23213384730786402,-0.22496046820310767,-0.21879038115537242,-0.21340973731253143,-0.20866557029819433,-0.20443712335713826,-0.20064347834784257,-0.19721514038212717,-0.19408693609136662,-0.19122978574614535,-0.18843405762936527,-0.1861114409178981},
+{-0.8549652726988484,-0.5065066689283526,-0.3910035964589724,-0.33572945646193375,-0.3020434370142766,-0.2812135255730368,-0.2638296495176746,-0.25102817826575574,-0.24075847634958336,-0.23227267895163095,-0.22509862214315035,-0.2189277691713869,-0.21354634876797718,-0.20880125330290866,-0.20457192749563546,-0.20077739827888763,-0.19734823560395398,-0.19421922683227422,-0.19136127276840398,-0.18856463542010715,-0.18624091507615503},
+{-0.8548036892634627,-0.5065509644029476,-0.3911103976648178,-0.3358559351588042,-0.3021776571022201,-0.2813497842417405,-0.2639675575046567,-0.25116734917332906,-0.24089772046988855,-0.23241198368452842,-0.22523723993901967,-0.2190656154845101,-0.2136834115202646,-0.2089373810795223,-0.20470717168950614,-0.20091175370157544,-0.19748176338134726,-0.19435194547952506,-0.19149318357767697,-0.18869563536395617,-0.1863708053526807},
+{-0.8546426265223204,-0.5065958505435333,-0.3912177725360948,-0.3359829608420455,-0.3023124051155719,-0.28148655462319994,-0.26410596356004135,-0.251307010073333,-0.24103744649812597,-0.23255176276200018,-0.22537632292414855,-0.21920392145216283,-0.21382092679448306,-0.20907395494816683,-0.20484285715724582,-0.20104654589522397,-0.19761572494644497,-0.1944850932574127,-0.1916255193834786,-0.18882705859675752,-0.1865011129841605},
+{-0.8544820859277138,-0.506641328875503,-0.3913257225920006,-0.3361105349460445,-0.3024476824962221,-0.2816238380364098,-0.2642448690122592,-0.2514471622586143,-0.24117765580024297,-0.2326920174617726,-0.22551587238694992,-0.21934268837082982,-0.21395889579616778,-0.20921097619657303,-0.20497898508313028,-0.20118177616222965,-0.19775012155309923,-0.1946186713383895,-0.19175828141862894,-0.18895890629630685,-0.18663183914259207},
+{-0.854322068923409,-0.5066874008981017,-0.3914342493467302,-0.33623865893849825,-0.3025834906430873,-0.2817616358912005,-0.26438427522168695,-0.2515878070214512,-0.24131834972877186,-0.23283274905884355,-0.22565588961026606,-0.2194819175615521,-0.21409731972437385,-0.20934844612065717,-0.2051155566888383,-0.20131744579168753,-0.19788495438547216,-0.19475268093128761,-0.19189147084523483,-0.18909117958980914,-0.18676298502464306},
+{-0.8541625769703955,-0.506734068147864,-0.3915433543265294,-0.3363673342655602,-0.30271983099203226,-0.28189994959927844,-0.2645241835163006,-0.25172894567253934,-0.24145952965295692,-0.2329739588283246,-0.22579637592366453,-0.21962161035719419,-0.2142361998060096,-0.20948636604111925,-0.2052525732032109,-0.2014535560930426,-0.19802022472015324,-0.19488712326233326,-0.19202508892567494,-0.18922387965267262,-0.18689455181174708},
+{-0.8540036115236376,-0.5067813321458061,-0.39165303906327154,-0.3364965623994749,-0.30285670497124784,-0.282038780482992,-0.26466459528023734,-0.25187057950392955,-0.24160119694431614,-0.23311564806544993,-0.22593733262874593,-0.21976176808118453,-0.2143755372665055,-0.20962473726126518,-0.2053900358472447,-0.2015901083780136,-0.1981559337826866,-0.19502199955036303,-0.19215913684683983,-0.18935700761085172,-0.1870265407133047},
+{-0.853845174048729,-0.5068291944140242,-0.3917633050760969,-0.3366263448012319,-0.302994113996931,-0.28217813002589764,-0.26480551187080437,-0.25201270981824564,-0.2417433529706159,-0.23325781804635426,-0.22607876104450497,-0.2199023920871923,-0.21451533334629858,-0.20976356111270889,-0.20552794585455558,-0.20172710395161175,-0.19829208281407773,-0.19515731101591882,-0.1922936158362063,-0.18949056465919512,-0.18715895288528372},
+{-0.8536872660048402,-0.50687765648496,-0.39187415388573754,-0.3367566829323323,-0.30313205950949396,-0.2823179995509122,-0.2649469346375781,-0.2521553379059469,-0.24188599910621633,-0.23340047005342512,-0.22622066248197825,-0.22004348369716809,-0.2146555892481956,-0.20990283891273975,-0.2056663044435254,-0.20186454413067167,-0.19842867304032552,-0.19529305889113857,-0.19242852712989134,-0.1896245519083095,-0.1872917895215096},
+{-0.8535298888708667,-0.5069267198920784,-0.3919855870518063,-0.33688757827451354,-0.30327054295679545,-0.28245839049418464,-0.26508886498652373,-0.25229846509546405,-0.24202913674730553,-0.23354360540986363,-0.22636303827152915,-0.22018504424192997,-0.2147963062097915,-0.21004257200763732,-0.2058051128670968,-0.20200243024453357,-0.19856570570539134,-0.19542924439167564,-0.1925638719591234,-0.18975897051768698,-0.1874250517847713},
+{-0.8533730441093326,-0.5069763861788488,-0.39209760608440547,-0.33701903232105224,-0.3034095657747571,-0.2825993042956725,-0.2652313042553942,-0.2524420926845323,-0.2421727672816587,-0.23368722542011255,-0.22650588975466235,-0.2203270751041373,-0.21493748548527947,-0.2101827617040044,-0.2059443723704817,-0.20214076362651667,-0.1987031820571019,-0.19556586878718463,-0.19269965154092006,-0.18989382167455915,-0.18755874084035895},
+{-0.8532167332077165,-0.5070266568909005,-0.3922102125538345,-0.33715104652810624,-0.3035491294139092,-0.28274074229079815,-0.26537425386436553,-0.25258622198589364,-0.24231689208011176,-0.23383133137326695,-0.22664921824627982,-0.22046957759243924,-0.21507912831634712,-0.21032340935573757,-0.2060840841695608,-0.20227954559152295,-0.19884110333839544,-0.19570293328081334,-0.19283586712242595,-0.19002910651738603,-0.18769285786163437},
+{-0.8530609576413326,-0.5070775335765347,-0.3923234079877602,-0.3372836224124285,-0.30368923532785175,-0.2828827059847754,-0.26551771520087186,-0.2527308543271829,-0.24246151256386383,-0.23397592461742533,-0.22679302510175603,-0.22061255309552052,-0.21522123596707843,-0.2104645163120722,-0.2062242495665032,-0.20241877750015647,-0.19897947080210088,-0.19584043915642724,-0.19297251993987175,-0.19016482618769714,-0.18782740401718456},
+{-0.8529057188958973,-0.5071290177738774,-0.3924371939468756,-0.337416761448992,-0.3038298849720604,-0.28302519672081417,-0.26566168964393455,-0.25287599100329317,-0.24260663012444184,-0.23412100644077327,-0.2269373116545239,-0.22075600297057463,-0.2153638096613122,-0.21060608391223923,-0.20636486978082758,-0.20255846066265804,-0.19911828570377565,-0.19597838764025255,-0.1931096112484738,-0.1903009818541932,-0.18796238044706115},
+{-0.8527510184591733,-0.5071811110472026,-0.392551571959018,-0.33755046513135767,-0.3039710797959856,-0.2831682159489901,-0.26580617860622624,-0.2530216333364024,-0.24275224615951174,-0.23426657817799423,-0.22708207924858925,-0.22089992853875628,-0.21550685067074937,-0.2107481134696627,-0.2065059460832117,-0.20269859643372,-0.19925754926237005,-0.19611677997306742,-0.19324714229458095,-0.19043757467511568,-0.18809778828506296},
+{-0.8525968578287575,-0.5072338149595339,-0.3926665436056851,-0.3376847349738341,-0.3041128212817057,-0.2833117651427983,-0.2659511834795012,-0.25316778267188056,-0.2428983621076668,-0.23441264116843286,-0.227227329245693,-0.2210443311862491,-0.21565036025333484,-0.21089060637484636,-0.20664747974205966,-0.2028391861754244,-0.19939726275890735,-0.19625561744794595,-0.19338511433397798,-0.19057460584178898,-0.18823362872285543},
+{-0.8524432384990064,-0.5072871310717346,-0.39278211043671263,-0.33781957247725813,-0.3042551108923135,-0.2834558456572722,-0.26609670570155686,-0.25331444032224226,-0.2430449793517937,-0.23455919676200665,-0.22737306299757165,-0.22118921230742217,-0.2157943396915698,-0.21103356395451556,-0.20678947204953602,-0.20298023121904407,-0.19953742746019998,-0.19639490130191462,-0.19352352862881617,-0.19071207649608368,-0.18836990284773947},
+{-0.8522901619685967,-0.5073410609421671,-0.39289827401148614,-0.3379549791637828,-0.30439795009795034,-0.2836004590128596,-0.266242746674493,-0.2534616076172824,-0.24319209935492836,-0.23470624628828318,-0.22751928187710746,-0.22133457322979666,-0.21593879024464968,-0.211176987570866,-0.20693192425994766,-0.2031217329363244,-0.19967804461748528,-0.19653463282929806,-0.193662386423739,-0.19084998780419937,-0.18850661183569173},
+{-0.8521376297419465,-0.5073956061518743,-0.3930150358943365,-0.33809095653271015,-0.3045413403697239,-0.2837456065757351,-0.26638930781541603,-0.2536092858899792,-0.2433397235125767,-0.23485379106421078,-0.22766598723126208,-0.22148041535115226,-0.21608371320633069,-0.2113208785583538,-0.20707483765147572,-0.20326369265671929,-0.19981911547984055,-0.1966748132755356,-0.19380168899931505,-0.1909883409629174,-0.1886437567691246},
+{-0.8519856433303516,-0.5074507682666081,-0.3931323976600538,-0.33822750611000174,-0.3046852832114837,-0.2838912898376975,-0.26653639059202305,-0.2537574764804731,-0.2434878532779976,-0.2350018325007568,-0.22781318044940235,-0.2216267400452807,-0.2162291098567266,-0.21146523827098918,-0.2072182135688081,-0.20340611175583945,-0.19996064134579683,-0.19681544394609318,-0.19394143764111504,-0.1911271371739076,-0.18878133881150916},
+{-0.8518342042432892,-0.5075065488726977,-0.3932503608787101,-0.33836462941940226,-0.3048297800892783,-0.28403751025632573,-0.2666839963679877,-0.2539061807251528,-0.24363649007875665,-0.23515037192009913,-0.22796086289156392,-0.22177354867233134,-0.21637498145400968,-0.21161006805880334,-0.20736205323885315,-0.20354899159212891,-0.20010262347773278,-0.1969565260719719,-0.19408163358536967,-0.19126637757267417,-0.18891935904673574},
+{-0.8516833139982509,-0.5075629495469229,-0.39336892712498184,-0.33850232799414925,-0.30497483250462665,-0.28418426922496565,-0.26683212664499933,-0.2540553999712074,-0.2437856353637926,-0.2352994106964843,-0.22810903593051535,-0.2219208426131445,-0.21652132930785228,-0.21175536927967187,-0.20750635800686723,-0.2036923335207348,-0.20024506312779522,-0.19709806098342142,-0.19422227813845439,-0.19140606338999078,-0.18905781857256443},
+{-0.8515329741159121,-0.5076199718845942,-0.39348809797775175,-0.33864060337077717,-0.305120441944041,-0.28433156829851214,-0.26698078282402093,-0.25420513556025526,-0.24393529059216235,-0.23544895018608258,-0.22825770097290388,-0.22206862327129784,-0.21666815473952283,-0.21190114325793274,-0.2076511291948009,-0.20383613892215635,-0.20038796161725259,-0.1972400499608966,-0.1943633725767313,-0.19154619582616306,-0.1891967185526937},
+{-0.8513831861129688,-0.5076776174641395,-0.3936078750191996,-0.33877945707757817,-0.3052666099067096,-0.2844794088478011,-0.2671299663790023,-0.25435538885005826,-0.24408545720996244,-0.235598991756774,-0.22840685939002014,-0.22221689200819128,-0.21681545902788457,-0.21204739136260287,-0.2077963680975472,-0.20398040912721171,-0.20053132019336317,-0.19738249429065036,-0.19450491821135074,-0.1916867760697869,-0.18933606006123682},
+{-0.8512339515295366,-0.5077358878943414,-0.3937282598383831,-0.3389188906578511,-0.3054133379138193,-0.28462779239282554,-0.2672796787612697,-0.2545061611793926,-0.24423613668000144,-0.23574953682168598,-0.22855651256213605,-0.2223656502239919,-0.21696324346089568,-0.2121941149190434,-0.20794207605604242,-0.20412514554573136,-0.20067514017171106,-0.1975253952583671,-0.1946469162946869,-0.19182780535652455,-0.1894758442232387},
+{-0.851085271890156,-0.5077947847664745,-0.3938492540279981,-0.33905890567967845,-0.30556062746688895,-0.28477672042538416,-0.26742992141203104,-0.254657453944219,-0.24438733047588812,-0.23590058672880332,-0.2287066619082907,-0.22251489931363722,-0.21711150938631363,-0.2123413152886542,-0.20808825440155942,-0.20427034951819678,-0.20081942283695753,-0.19766875419679764,-0.19478936815949055,-0.19196928489839138,-0.18961607215896947},
+{-0.8509371487338626,-0.5078543096817043,-0.3939708591733506,-0.3391995036686808,-0.3057084800745997,-0.284926194334048,-0.2675806957942086,-0.25480926848160834,-0.24453904004917604,-0.23605214286658338,-0.22885730880113897,-0.22266464063886815,-0.21726025809493876,-0.21248899379827435,-0.20823490446912274,-0.20441602242931367,-0.20096416950832463,-0.1978125723702533,-0.1949322750634792,-0.19211121590740277,-0.18975674500018158},
+{-0.8507895835934391,-0.5079144642471078,-0.39409307686503325,-0.3393406862005577,-0.30585689724227905,-0.2850762157080453,-0.26773200337333947,-0.2549616061571669,-0.24469126689268705,-0.23620420663985442,-0.22900845465244402,-0.22281487561258473,-0.2174094909246378,-0.21263715179031806,-0.20838202763491154,-0.20456216564946317,-0.20110938144773627,-0.19795685113058425,-0.195075638326216,-0.19225359962115363,-0.18989786391898633},
+{-0.850642578019972,-0.5079752500848258,-0.39421590872439083,-0.3394824548246902,-0.3060058805083372,-0.28522678595345496,-0.2678838456236008,-0.2551144683563962,-0.24484401248946597,-0.23635677942445454,-0.22916010088579242,-0.2229656056318845,-0.21755920919815708,-0.2127857906322106,-0.20852962525304974,-0.2047087805387946,-0.20125506001363647,-0.19810159178280173,-0.19521945928795503,-0.19239643731134493,-0.1900394300635071},
+{-0.8504961335606822,-0.5080366687928404,-0.3943393563203017,-0.33962481110376075,-0.30615543140038426,-0.2853779065923163,-0.2680362240313343,-0.25526785644149186,-0.24499727830220763,-0.23650986264010498,-0.2293122488785002,-0.22311683207078659,-0.2177094142276701,-0.21293491162373357,-0.20867769867936659,-0.20485586848826642,-0.2014012064905728,-0.19824679562657366,-0.19536373922346684,-0.1925397301946532,-0.19018144461210795},
+{-0.850350251763416,-0.5080987220018187,-0.3944634212909932,-0.33976775662893033,-0.306305551441028,-0.28552957914234867,-0.26818914003354166,-0.2554217718069367,-0.24515106583737634,-0.23666345767674102,-0.2294649000677964,-0.22326855634423737,-0.2178601073601385,-0.21308451613253965,-0.20882624929447502,-0.20500343088178852,-0.2015478222075444,-0.19839246400636057,-0.19550847944890393,-0.19268347953880038,-0.19032390878135175},
+{-0.8502049341858537,-0.5081614113436785,-0.39458810523814236,-0.3399112929668604,-0.30645624217606837,-0.2856818050373704,-0.268342595158515,-0.25557621584550816,-0.24530537658688445,-0.23681756595271963,-0.22961805586612627,-0.22342077985467768,-0.21801128995400632,-0.21323460549126594,-0.2089752785005885,-0.20515146907916915,-0.20169490849013982,-0.1985385982260368,-0.19565368130861316,-0.19282768659013527,-0.1904668237674514},
+{-0.8500601823884608,-0.5082247384274865,-0.39471340976888314,-0.3400554216908631,-0.3066075051342523,-0.28583458587399946,-0.2684965908531467,-0.2557311899322485,-0.245460212046396,-0.23697218884524318,-0.22977171769809956,-0.2235735039789688,-0.21816296335668994,-0.21338518104096238,-0.20912478769776044,-0.20529998445715592,-0.20184246666292438,-0.19868519964779807,-0.19579934609532756,-0.19297235263218226,-0.19061019083153496},
+{-0.8499159979336923,-0.5082887048948237,-0.3948393364947833,-0.3402001443879499,-0.306759341857628,-0.2859879230579736,-0.2686511286226505,-0.25588669546846177,-0.24561557371055187,-0.2371273277921091,-0.2299258869792311,-0.22372673014376687,-0.21831512890548765,-0.21353624413586658,-0.20927477826364793,-0.20544897840852627,-0.2019904980793399,-0.19883226959029798,-0.1959454751576004,-0.19311747891049436,-0.19075401121915547},
+{-0.8497723823948604,-0.508353312389886,-0.3949658870586745,-0.34034546265343124,-0.3069117539085937,-0.28614181815919437,-0.2688062099663284,-0.2560427338603404,-0.24577146308831743,-0.23728298420996907,-0.23008056514709097,-0.22388045973718818,-0.21846778797703337,-0.21368779611736954,-0.20942525164787185,-0.2055984523008192,-0.20213900405508411,-0.19897980939560966,-0.19609206983238892,-0.1932630666985915,-0.1908982861750701},
+{-0.8496293373292474,-0.5084185625336772,-0.3950930630493872,-0.34049137808261776,-0.30706474283488205,-0.2862962727128888,-0.26896183634835324,-0.2561993065189654,-0.24592788170480162,-0.2374391595196812,-0.23023575363504278,-0.22403469417270117,-0.21862094191760661,-0.2138398383283402,-0.20957620924764342,-0.20574840753283752,-0.20228798596440356,-0.19912782041865285,-0.19623913144926064,-0.19340911728590982,-0.19104301703532656},
+{-0.8494868643311406,-0.5084844569940401,-0.3952208661306713,-0.34063789225848495,-0.3072183101890005,-0.286451288163903,-0.26911800928485263,-0.25635641485598626,-0.2460848310424808,-0.23759585512505055,-0.23039145387451754,-0.22418943483853582,-0.21877459211896166,-0.21399237213267952,-0.20972765249871372,-0.20589884546143367,-0.2024374451168569,-0.19927630399445206,-0.19638666134221694,-0.19355563193744274,-0.19118820508333556},
+{-0.849344964969589,-0.5085509974081219,-0.39534929791511786,-0.34078500681704327,-0.30737245754050946,-0.286606866145803,-0.2692747302914995,-0.25651406028578094,-0.24624231264408536,-0.23775307247626642,-0.2305476673194562,-0.22434468317112533,-0.21892873998024243,-0.2141453988695048,-0.20987958286946196,-0.20604976750053083,-0.20258738291715872,-0.19942526149850437,-0.19653466084707816,-0.19370261195149396,-0.1913338516623071},
+{-0.8492036408300123,-0.508618185427963,-0.3954783600450469,-0.3409327233320596,-0.3075271864569231,-0.2867630080783101,-0.2694320008519071,-0.25667224422545587,-0.24640032802597034,-0.23791081297690653,-0.2307043954161827,-0.2245004405773443,-0.21908338687501328,-0.21429891991579098,-0.21003200176824066,-0.2062011750202828,-0.2027378007023799,-0.19957469428061358,-0.19668313134604887,-0.19385005858009663,-0.19147995812124918},
+{-0.8490628934996494,-0.5086860227136754,-0.39560805413793787,-0.341081043436418,-0.3076824985048461,-0.28691971555599594,-0.2695898224864095,-0.25683096811474115,-0.2465588786897115,-0.2380690780603345,-0.23086163957941608,-0.2246567084266644,-0.21923853417638384,-0.21445293661918186,-0.21018491067957257,-0.20635306939800557,-0.20288869981970947,-0.1997246036727347,-0.1968320741733578,-0.19399797313519684,-0.19162652578916095},
+{-0.8489227245769939,-0.5087545109328744,-0.3957383818616904,-0.34122996874486944,-0.30783839527532564,-0.2870769901408039,-0.26974819668009786,-0.2569902333855225,-0.24671796620032183,-0.2382278691773081,-0.23101940129470222,-0.22481348816893387,-0.21939418331612615,-0.21460745036335993,-0.21033831106001344,-0.2065054520406875,-0.20304008168068322,-0.19987499108958673,-0.19698149067824033,-0.19414635688679027,-0.19177355607700974},
+{-0.8487831356522406,-0.5088236517515838,-0.3958693448485633,-0.34137950088091884,-0.30799487834065076,-0.2872348332901993,-0.26990712498445646,-0.25715004148617027,-0.24687759204698523,-0.23838718777267331,-0.2311776820159821,-0.22497078121341474,-0.2195503356934978,-0.2147624625001754,-0.21049220439385863,-0.2066583243331479,-0.2031919476268058,-0.20002585786380678,-0.19713138224699378,-0.19429521113420378,-0.1919210503690465},
+{-0.8486441283258728,-0.5088934468343496,-0.39600094474911884,-0.341529641478985,-0.3081519492686766,-0.2873932466623046,-0.27006660888389433,-0.2573103938584609,-0.24703775780562864,-0.23854703525887544,-0.23133648320606426,-0.22512858896493526,-0.21970699275550487,-0.21491797442581628,-0.2106465921350491,-0.20681168766770952,-0.2033442990466483,-0.20017720541886774,-0.1972817502480666,-0.19444453717505894,-0.19206901007351007},
+{-0.8485057042045696,-0.5089638978662947,-0.39613318321391944,-0.3416803921579685,-0.30830960967693954,-0.287552231706627,-0.27022664991943657,-0.2574712919591775,-0.24719846498442166,-0.23870741306916443,-0.23149580632878042,-0.22528691285378954,-0.2198641559157295,-0.2150739875067984,-0.2108014757836827,-0.20696554343953721,-0.2034971373489043,-0.20032903509707012,-0.1974325960185297,-0.19459433632198397,-0.19221743658181367},
+{-0.848367864894783,-0.5090350065157168,-0.39626606190665825,-0.3418317545602463,-0.3084678611600111,-0.28771179004047553,-0.27038724962608285,-0.2576327372405558,-0.24735971513416644,-0.23886832268931357,-0.23165565284909917,-0.22544575428992175,-0.22002182659616665,-0.21523050313737713,-0.21095685686975685,-0.20711989302662914,-0.20365046387973962,-0.20048134829630726,-0.19758392097992328,-0.1947446098816954,-0.19236633137904846},
+{-0.8482306120125145,-0.5091067744810402,-0.3963995824785229,-0.3419837303351869,-0.30862670530211744,-0.2878719232248841,-0.2705484094823305,-0.2577947311860953,-0.24752150980464194,-0.2390297655424547,-0.23181602424790526,-0.2256051146914615,-0.22018000627065248,-0.21538752270362238,-0.2111127368251573,-0.2072747378482518,-0.2038042800780886,-0.20063414639548682,-0.19773572648716708,-0.19489535913464806,-0.1925156958648131},
+{-0.8480939471713214,-0.5091792034430114,-0.39653374660684904,-0.3421363211244852,-0.30878614372306856,-0.28803263276824964,-0.27071013106944974,-0.2579572752417789,-0.247683850527892,-0.23919174307582125,-0.2319769219875525,-0.22576499547847106,-0.22033869636493364,-0.2155450476165015,-0.21126911721853503,-0.20743007929240775,-0.20395858730682903,-0.20078743080102868,-0.19788801393121958,-0.19504658543644382,-0.1926655314900927},
+{-0.847957871995277,-0.509252295102101,-0.39666855594049366,-0.3422895285953018,-0.3089461780120928,-0.28819392033119584,-0.27087241589219957,-0.2581203709153215,-0.2478467388835952,-0.23935425674415,-0.23213834758792018,-0.22592539808829315,-0.22049789838160905,-0.21570307925310317,-0.21142599954237085,-0.20758591877654453,-0.2041133869921623,-0.20094120293845208,-0.19804078469724118,-0.19519829010596368,-0.19281583978386152},
+{-0.8478223881052713,-0.5093260511496851,-0.39680401216628525,-0.34244335437801965,-0.30910680981446603,-0.2883557873959717,-0.27103526549853996,-0.25828401967180525,-0.24801017640504597,-0.23951730799001325,-0.23230030250681466,-0.2260863239354194,-0.22065761379099058,-0.2158616190530438,-0.21158338527970955,-0.20774225768593624,-0.20426868054403258,-0.20109546417222646,-0.19819404020188358,-0.1953504744589054,-0.19296662217823268},
+{-0.8476874971365191,-0.5094004732960116,-0.3969401169567277,-0.3425978001569092,-0.3092680407212356,-0.28851823559568857,-0.27119868144120574,-0.25844822300723536,-0.24817416465941733,-0.23968089831896577,-0.23246278825013178,-0.2262477744422995,-0.22081784403428628,-0.2160206684015975,-0.21174127602125736,-0.20789909745383284,-0.20442446935635417,-0.2012502159215046,-0.1983477818173469,-0.1955031398600795,-0.19311788019479081},
+{-0.8475532007162201,-0.5094755632480883,-0.3970768719964326,-0.34275286759873325,-0.3094298723921156,-0.288681266530034,-0.27136266523655195,-0.2586129824467207,-0.24833870521740664,-0.23984502915823214,-0.23262580631637775,-0.2264097510648071,-0.22097859065149805,-0.2161802287272394,-0.21189967323243764,-0.20805643948381203,-0.20458075487147198,-0.20140545960111922,-0.19850201096483033,-0.1956562876357566,-0.19326961531714915},
+{-0.8474195004844773,-0.5095513227123547,-0.3972142789532995,-0.34290855835740786,-0.30959230642031343,-0.28884488169558153,-0.2715272184545938,-0.25877829945636677,-0.24850379962538227,-0.2400097019730083,-0.23278935819837443,-0.2265722552101579,-0.22113985511134615,-0.21634030143411564,-0.21205857846882736,-0.2082142851778599,-0.20473753848204979,-0.2015611966311326,-0.1986567290094854,-0.195809919119597,-0.19342182906905236},
+{-0.8472863980854299,-0.5096277534075853,-0.3973523395245593,-0.34306487413607556,-0.309755344455084,-0.2890090828053644,-0.2716923426374933,-0.2589441755714006,-0.2486694494926951,-0.2401749182400863,-0.2329534454268014,-0.22673528832706324,-0.22130163894610178,-0.2165008879578636,-0.21221799329384794,-0.20837263597138644,-0.20489482164043693,-0.20171742843047014,-0.1988119373970676,-0.19596403570460552,-0.19357452295935218},
+{-0.8471538951650359,-0.5097048570692095,-0.39749105541602603,-0.34322181660093065,-0.30991898814374963,-0.2891738713514087,-0.27185803934560226,-0.2591106123098825,-0.24883565637458105,-0.24034067943114223,-0.23311806950471237,-0.22689885185559433,-0.22146394368371602,-0.216661989749241,-0.212377919206574,-0.20853149328797826,-0.20505260579136575,-0.20187415643397344,-0.19896763753649793,-0.19611863874854407,-0.19372769852395777},
+{-0.8470219933706176,-0.5097826354077597,-0.3976304282995784,-0.34337938744647545,-0.31008323912419655,-0.28933924899615704,-0.27202431015791717,-0.2592776111932835,-0.2490024218442386,-0.2405069870414991,-0.2332832319341378,-0.22706294721581344,-0.22162677082667415,-0.21682360822069313,-0.21253835778236407,-0.20869085854531022,-0.20521089232136092,-0.20203138205056348,-0.19912383082396445,-0.19627372961861056,-0.19388135726330802},
+{-0.8468906943574552,-0.5098610901609959,-0.39777045988245163,-0.34353758835277404,-0.3102480990479535,-0.28950521734748236,-0.272191156588633,-0.2594451737503505,-0.24916974749089604,-0.24067384251884505,-0.23344893426440194,-0.22722757587041542,-0.22179012192123082,-0.21698574483014,-0.21269931053791424,-0.20885073319743697,-0.20536968273847833,-0.20218910674191193,-0.19928051868578223,-0.19642930969018835,-0.19403550074343912},
+{-0.8467599997874231,-0.5099402230688952,-0.3979111518826244,-0.34369642103422393,-0.31041356955836363,-0.2896717779486835,-0.2723585802489197,-0.25961330154234474,-0.24933763490616911,-0.2408412473757835,-0.2336151780318687,-0.22739273926436,-0.22195399852307673,-0.21714840100378296,-0.21286077906063383,-0.20901111865703115,-0.2055289784341312,-0.2023473319243294,-0.1994377025492895,-0.19658538037549533,-0.19419013048025136},
+{-0.8466299113184732,-0.510020035870582,-0.3980525059983506,-0.3438558871899886,-0.3105796523245772,-0.28983893251154313,-0.2725265826956047,-0.2597819961008554,-0.2495060856932696,-0.24100920309774665,-0.2337819647567585,-0.2275584388439711,-0.22211840218631096,-0.21731157821932356,-0.21302276489666383,-0.20917201639804262,-0.20568878089136433,-0.20250605906505825,-0.19959538382931896,-0.19674194305184756,-0.1943452480174983},
+{-0.8465004306186756,-0.5101005302995532,-0.3981945239310676,-0.34401598851820836,-0.31074634901767695,-0.2900066825612839,-0.2726951655116636,-0.25995125897600246,-0.24967510143471827,-0.24117771117289521,-0.233949295994762,-0.22772467605977909,-0.2222833344760602,-0.21747527792638266,-0.21318526957645645,-0.20933342785804143,-0.2058490915708262,-0.20266528959211882,-0.19975356395707422,-0.1968989991254375,-0.19450085488597324},
+{-0.8463715593661618,-0.5101817081292666,-0.39833720741557954,-0.3441767267358955,-0.31091366129430753,-0.2901750297663739,-0.2728643302814362,-0.2601210917340495,-0.24984468374225344,-0.24134677311155883,-0.23411717327769566,-0.22789145237504727,-0.22244879693846542,-0.21763950158447187,-0.21334829468253247,-0.2094953544724376,-0.20600991190758577,-0.20282502497127552,-0.19991224436648736,-0.1970565499989334,-0.19465695264329952},
+{-0.8462432992211006,-0.510263571099415,-0.3984805581581554,-0.3443381035752964,-0.3110815908451059,-0.29034397578061544,-0.2730340785564067,-0.260291495950014,-0.2500148342362536,-0.24151639042543138,-0.2342855981817138,-0.22805876923280266,-0.22261479118537864,-0.21780425065628606,-0.21351184177706273,-0.2096577977255265,-0.2061712434004903,-0.20298526665794725,-0.2000714264825092,-0.19721459712923206,-0.19481354284437202},
+{-0.8461156518873736,-0.5103461209857301,-0.3986245779064461,-0.34450012073148173,-0.3112501393347884,-0.2905135221665205,-0.27320441197537093,-0.26046247320425664,-0.2501855545043554,-0.24168656460869897,-0.23445457226125654,-0.22822662811108785,-0.2227813187683978,-0.2179695266291901,-0.21367591241823902,-0.20982075906522368,-0.20633308748119816,-0.2031460161238101,-0.2002311117538511,-0.19737314192184385,-0.19497062703021584},
+{-0.8459886190298676,-0.5104293595454692,-0.3987692683709838,-0.3446627799793305,-0.3114193084592216,-0.29068367065042366,-0.2733753321070935,-0.2606340250785024,-0.2503568462137764,-0.24185729720159088,-0.23462409710339216,-0.22839503047543985,-0.2229483813260913,-0.2181353309864562,-0.21384050819438016,-0.20998423998423732,-0.2064954456717487,-0.20330727482541988,-0.20039130159909746,-0.19753218581024612,-0.19512820677573472},
+{-0.8458622023445628,-0.5105132885479406,-0.3989146313058427,-0.3448260830083427,-0.31158909991438577,-0.2908544227833545,-0.2735468405459187,-0.26080615315936484,-0.2505287109560186,-0.24202858970340912,-0.23479417426187865,-0.2285639777992401,-0.22311598042415426,-0.21830166522431682,-0.21400563061615685,-0.21014824192354808,-0.20665831943279045,-0.2034690442368401,-0.20055199749185704,-0.19769173021700226,-0.19528628363309508},
+{-0.8457364035223236,-0.5105979097634759,-0.3990606684224076,-0.34499003156861363,-0.311759515367271,-0.29102578025754156,-0.27371893890654064,-0.2609788590343669,-0.250701150346913,-0.24220044365381455,-0.23496480530945973,-0.22873347153790746,-0.22328411762964606,-0.21846853082581674,-0.21417128130508445,-0.21031276639223506,-0.20682171023906903,-0.2036313258147402,-0.2007132008654935,-0.19785177662208753,-0.19544485916208032},
+{-0.8456112242629388,-0.5106832249915101,-0.39920738149163526,-0.3451546274233124,-0.3119305565593322,-0.29119774475464055,-0.27389162879023843,-0.2611521443410538,-0.25087416607209434,-0.2423728606114537,-0.23513599185935163,-0.22890351319290403,-0.2234527946078515,-0.21863592929764764,-0.21433746181321567,-0.21047781488812234,-0.20698561960114148,-0.20379412106933614,-0.20087491318270168,-0.19801232647830602,-0.19560393495385142},
+{-0.8454866662659128,-0.510769236012095,-0.3993547722426456,-0.3453198723022979,-0.3121022251781369,-0.29137031784455303,-0.27406491181909587,-0.26132601066467487,-0.2510477597237468,-0.242545842100526,-0.2353077354925972,-0.22907410423988495,-0.2236220129469757,-0.21880386215707404,-0.21450417372500397,-0.21064338887083522,-0.20715004899113865,-0.2039574314831043,-0.2010371359117471,-0.1981733812258426,-0.19576351255852842},
+{-0.84536273123814,-0.5108559446103982,-0.39950284244355316,-0.34548576797624264,-0.31227452293217084,-0.2915435012968146,-0.27423878960598813,-0.26150045964789115,-0.2512219330029666,-0.24271938966683138,-0.23548003784924276,-0.22924524616223607,-0.22379177427069408,-0.21897233093989144,-0.21467141860193806,-0.21080948987298598,-0.20731499992905356,-0.20412125856159946,-0.20119987050929922,-0.19833494236081606,-0.19592359357045552},
+{-0.8452394208891292,-0.5109433525851728,-0.39965159384746585,-0.34565231619671977,-0.3124474515432212,-0.2917172966853059,-0.2744132637668599,-0.26167549291017167,-0.25139668753229216,-0.24289350488129458,-0.23565290050350995,-0.22941694046403427,-0.22396208019245023,-0.21914133715426942,-0.21483919801676166,-0.2109761193845543,-0.20748047393919933,-0.2042856037751335,-0.20136311844407828,-0.1984970113143163,-0.19608417955214463},
+{-0.8451167369327663,-0.5110314617451195,-0.39980102821891705,-0.34581951872246464,-0.3126210127413742,-0.2918917057215822,-0.27458833595937904,-0.26185111208110357,-0.25157202497734943,-0.2430681893089286,-0.23582632508293955,-0.2295891886295749,-0.22413293232318665,-0.2193108823601051,-0.21500751357109493,-0.21114327890018103,-0.20764647249416157,-0.2044504686275559,-0.20152688122516338,-0.19865958959053387,-0.19624527212215526},
+{-0.8449946810915208,-0.5111202738895599,-0.39995114730879777,-0.3459873773471145,-0.31279520824966767,-0.2920667300866171,-0.27476400776413357,-0.2620273188169904,-0.25174794702343206,-0.24324344451883917,-0.23600031321325332,-0.22976199215463566,-0.22430433229362734,-0.2194809680911476,-0.21517636680971464,-0.21131096996452925,-0.20781299712757573,-0.20461585463795018,-0.20169116029262568,-0.19882267863806646,-0.1964068728325401},
+{-0.8448732550857585,-0.5112097908373698,-0.4001019529237624,-0.3461558938283815,-0.3129700397967099,-0.2922423714139768,-0.27494028087630795,-0.2622041147691334,-0.25192445532377405,-0.24341927210332415,-0.2361748665188088,-0.22993535256421183,-0.2244762817121,-0.21965159591695738,-0.21534575932992084,-0.21147919409008864,-0.20798004933658376,-0.20478176329618236,-0.20185595715429372,-0.19898627998020402,-0.19656898324967642},
+{-0.8447524606449406,-0.5113000144035027,-0.4002534468047543,-0.3463250699672926,-0.3131455091290718,-0.2924186314741064,-0.27511715689513494,-0.26238150159201723,-0.25210155157253666,-0.24359567364456325,-0.23634998666182128,-0.2301092713541948,-0.22464878223297546,-0.219822767409255,-0.2155156927195776,-0.21164795280549242,-0.20814763069506625,-0.20494819615532833,-0.20202127330298936,-0.19915039508441623,-0.19673160499098685},
+{-0.8446322994939237,-0.5113909464087669,-0.4004056307505266,-0.346494907519741,-0.3133216179885494,-0.29259551186282806,-0.2752946374963585,-0.262559480951154,-0.25227923746115266,-0.24377265071586862,-0.23652567526426083,-0.23028375005435464,-0.22482183549050205,-0.2199944841386241,-0.21568616852266587,-0.21181724762334397,-0.20831574271323916,-0.20511515469081587,-0.20218711019890634,-0.19931502541680857,-0.19689473958544568},
+{-0.8445127733845084,-0.5114825886881817,-0.40055850655323866,-0.34666540831335624,-0.3134983681156882,-0.29277301433523917,-0.27547272432639147,-0.2627380545264941,-0.2524575146796906,-0.24395020496717734,-0.23670193399607342,-0.2304587901649029,-0.22499544304866959,-0.2201667477021374,-0.2158571883685454,-0.21198708009808342,-0.208484386910186,-0.20528264044560274,-0.20235346937079157,-0.19948017251363126,-0.19705838862876135},
+{-0.8443938840451324,-0.5115749430721053,-0.4007120759930558,-0.3468365741374555,-0.31367576130764974,-0.2929511406034635,-0.2756514190368762,-0.26291722401151674,-0.2526363849229938,-0.2441283380052255,-0.23687876450946987,-0.23063439324812407,-0.22516960658151675,-0.22033955971005525,-0.21602875380608566,-0.2121574517911995,-0.2086535648378458,-0.20545065494388837,-0.20252035231010268,-0.19964583786099865,-0.19722255364740704},
+{-0.8442756332287331,-0.5116680113994789,-0.40086634087128914,-0.34700840677157885,-0.3138537992867896,-0.2931298922831047,-0.275830723296167,-0.2630969910668455,-0.25281584991353157,-0.2443070514196961,-0.2370561684558652,-0.23081056079763584,-0.2253443276786129,-0.22051292174978698,-0.2162008664130326,-0.21232836420608692,-0.20882327802257805,-0.20561919970509734,-0.20268776048862946,-0.19981202296196443,-0.197387236196505},
+{-0.8441580226766519,-0.5117617955144169,-0.40102130298475913,-0.3471809080666617,-0.3140324838180959,-0.2933092712148664,-0.2760106387753467,-0.2632773574065368,-0.2529959113592213,-0.24448634685734305,-0.237234147540903,-0.23098729437390375,-0.2255196079867119,-0.22068683546171997,-0.21637352781294794,-0.2124998189328835,-0.20899352804997307,-0.20578827628423824,-0.2028556954302303,-0.19997872933595318,-0.19755243781412446},
+{-0.8440410541521146,-0.5118562972781433,-0.4011769641515457,-0.34735407980736,-0.31421181670714304,-0.293489279005712,-0.2761911671411781,-0.2634583247270257,-0.253176570973892,-0.2446662259724235,-0.23741270342520693,-0.2311645955030599,-0.22569544913017126,-0.220861302488629,-0.21654673954537884,-0.21267181751557018,-0.20916431645832745,-0.2059578861889122,-0.20302415863216083,-0.20014595850159367,-0.1977181599997948},
+{-0.8439247294078882,-0.511951518525791,-0.40133332617153883,-0.3475279238298299,-0.31439179970539044,-0.29366991743449944,-0.2763723100962352,-0.2636398947397538,-0.253357830479672,-0.24484669038656648,-0.23759183778224724,-0.23134246572783468,-0.2258718526895791,-0.22103632445714538,-0.2167205032332049,-0.21284436152222952,-0.20933564479503275,-0.20612803098151744,-0.20319315162691964,-0.20031371199581827,-0.1978844042516812},
+{-0.8438090502118598,-0.5120474611399004,-0.40149039085861205,-0.347702441954425,-0.314572434610227,-0.2938511882294961,-0.27655406929352466,-0.2638220691784454,-0.2535396916176751,-0.24502774176994535,-0.23777155234165548,-0.2315209066148327,-0.22604882030850604,-0.22121190303619187,-0.2168948204418939,-0.21301745251594184,-0.20950751464408768,-0.20629871219125562,-0.20336267590096213,-0.2004819913653364,-0.1980511720666982},
+{-0.8436940183244133,-0.5121441269714637,-0.40164816005085413,-0.34787763601593724,-0.3147537232235891,-0.2940330930578057,-0.27673644644698925,-0.2640048497604539,-0.25372215613083426,-0.24520938178295637,-0.2379518487811083,-0.23169991974066306,-0.22622635359812193,-0.22138803987741085,-0.2170696927763629,-0.21319109208445752,-0.20967992755174691,-0.20646993136347191,-0.20353273298781005,-0.2006507981654977,-0.19821846491549877},
+{-0.8435796355267939,-0.5122415179076825,-0.40180663555645424,-0.3480535078554112,-0.3149356673100101,-0.2942156337726374,-0.27691944323134976,-0.26418823820995385,-0.25390522576105923,-0.24539161209884242,-0.23813272880545355,-0.2318795066370285,-0.226404454171643,-0.22156473667689625,-0.21724512183152456,-0.21336528179836023,-0.20985288511838007,-0.20664169005260646,-0.20370332440836592,-0.20082013393528086,-0.19838628426259675},
+{-0.8434659035892196,-0.5123396358174546,-0.4019658192165707,-0.3482300593124137,-0.31511826870405457,-0.29439881200494256,-0.27710306136089,-0.26437223627931417,-0.25408890225082814,-0.2455744343826609,-0.23831419413920685,-0.23205966889190677,-0.2265831236378517,-0.22174199510754988,-0.2174211091835332,-0.21354002324369503,-0.21002638890252,-0.20681398982037535,-0.2038744516804627,-0.20099000025231817,-0.19855463152748598},
+{-0.8433528243008936,-0.5124384825878678,-0.40212571287088394,-0.3484072922356063,-0.31530152919140164,-0.2945826295583629,-0.27728730254909806,-0.2645568457082845,-0.2542731873563753,-0.24575785033266584,-0.23849624648357803,-0.23224040807735946,-0.22676236360177882,-0.22191981687024054,-0.21759765644708295,-0.21371531801207766,-0.21020044048407271,-0.20698683220371095,-0.2040461163701366,-0.20116039868355529,-0.19872350819161966},
+{-0.8432403994321476,-0.5125380601043048,-0.4022863183389518,-0.34858520849070374,-0.3154854506068432,-0.2947670882113016,-0.2774721684688757,-0.26474206824752855,-0.2544580828398466,-0.2459418616382436,-0.2386788875817274,-0.23242172576908615,-0.22694217569824104,-0.22209820366640542,-0.21777476520992423,-0.21389116770308192,-0.2103750414842125,-0.20716021876671675,-0.2042183199990859,-0.2013313308502802,-0.19889291562571998},
+{-0.8431286307903179,-0.5126383702724411,-0.4024476374977439,-0.34876380992750455,-0.31567003475515776,-0.29495218964370906,-0.27765766087384236,-0.26492790566408075,-0.25464359046691243,-0.24612646998969012,-0.23886211914168598,-0.2326036235618858,-0.22712256150214216,-0.22227715722942776,-0.21795243707651935,-0.21406757390673192,-0.21055019343600634,-0.2073341511018043,-0.20439106408866792,-0.20150279831773332,-0.19906285528350054},
+{-0.8430175201651764,-0.5127394149862994,-0.4026096721838712,-0.3489430984208184,-0.315855283464316,-0.2951379357265296,-0.2778437814663448,-0.2651143597408918,-0.2548297120273446,-0.24631167712016122,-0.2390459429408338,-0.2327861030449867,-0.22730352267126364,-0.2224566792559699,-0.21813067367043004,-0.2142445382448841,-0.21072589799632624,-0.2075086307379479,-0.20456435022947517,-0.2016748027022004,-0.19923332856217257},
+{-0.8429070693509857,-0.5128411961530901,-0.40277242425361237,-0.3491230758384063,-0.3160411985771816,-0.2953243281264122,-0.2780305319679428,-0.2653014322262379,-0.25501644926339395,-0.24649748471119892,-0.23923036070027592,-0.2329691658115962,-0.2274850608127963,-0.22263677151499905,-0.21830947656223998,-0.21442206231267846,-0.2109021567483751,-0.20768365925641774,-0.2047381799517325,-0.20184734560041306,-0.19940433683598258},
+{-0.8427972801510464,-0.5129437156838321,-0.4029358955626776,-0.34930374405394105,-0.31622778190899226,-0.29551136867996775,-0.2782179141073584,-0.2654891249019329,-0.2552038039660829,-0.24668389449891492,-0.23941537414464165,-0.2331528134633345,-0.2276671775118757,-0.22281743570965773,-0.21848884738972174,-0.21460014773447256,-0.21107897127490105,-0.20785923824666952,-0.2049125548403481,-0.20202042863058978,-0.19957588151339678},
+{-0.8426881543837226,-0.5130469755059153,-0.40310008799053776,-0.3494851049664476,-0.316415035331147,-0.29569905919686335,-0.2784059296184296,-0.26567743958241863,-0.25539177793768886,-0.24687090822339997,-0.2396009850721157,-0.2333370476167147,-0.22784987439945326,-0.22299867362266923,-0.21866878775665555,-0.21477879614826634,-0.2112563432232264,-0.20803536929793154,-0.20508747646215397,-0.20219405343289054,-0.19974796400504147},
+{-0.8425796938595909,-0.5131509775420113,-0.4032650034027938,-0.3496671604477797,-0.31660296068253047,-0.29588740137467084,-0.2785945802553442,-0.265866378051669,-0.2555803729443369,-0.24705852760871494,-0.23978719520698633,-0.23352186989438906,-0.2280331531203501,-0.2231804869933285,-0.21884929930013186,-0.2149580091640928,-0.2114342741828068,-0.2082120539829475,-0.20526294637875253,-0.20236822161393775,-0.1999205856577646},
+{-0.8424719003858172,-0.5132557237180322,-0.40343064368005344,-0.34984991241435637,-0.31679155981134954,-0.2960763971261713,-0.2787838677346599,-0.2660559421032076,-0.2557695908126334,-0.24724675438210397,-0.2399740063549416,-0.23370728190297996,-0.22821701528891936,-0.22336287759844708,-0.21903038363666383,-0.21513778840392206,-0.21161276582029132,-0.20838929392118644,-0.20543896620461055,-0.20254293482219055,-0.20009374788298828},
+{-0.8423647757980461,-0.513361215974669,-0.4035970106976947,-0.35003336275258334,-0.31698083459275495,-0.29626604815223345,-0.27897379382841336,-0.2662461335593207,-0.2559594333038149,-0.24743559031333007,-0.2401614202676683,-0.23389328528514852,-0.22840146255043692,-0.2235458471967604,-0.21921204237946768,-0.21531813553781376,-0.2117918197312747,-0.2085670906994892,-0.2056155374912123,-0.20271819468018748,-0.20026745207076146},
+{-0.8422583219111743,-0.513467456252954,-0.4037641063561068,-0.35021751338115337,-0.31717078688291167,-0.29645635630879497,-0.27916436028158387,-0.2664369542202394,-0.2561499022430098,-0.24762503714441664,-0.2403494387116325,-0.234079881671164,-0.2285864964993607,-0.2237293975895227,-0.21939427719530613,-0.21549905217000287,-0.2119714375435251,-0.20874544592993516,-0.20579266186462064,-0.20289400280933023,-0.20044169961522584},
+{-0.8421525405705665,-0.5135744465007974,-0.4039319325310089,-0.35040236620864107,-0.3173614185606084,-0.29664732342769184,-0.27935556882141555,-0.2666284059338295,-0.2563409994216954,-0.24781509663569068,-0.2405380634792209,-0.23426707269243252,-0.22877211881871062,-0.2239135305300124,-0.21957708970262502,-0.21568053999828862,-0.2121516209258516,-0.20892436121300761,-0.2059703409023541,-0.20307036085546315,-0.20061649190381559},
+{-0.8420474335998733,-0.5136821886777625,-0.40410049113791047,-0.350587923150556,-0.3175527315149793,-0.29683895125140225,-0.27954742126644305,-0.26682049051180456,-0.2565327266601116,-0.24800577055452777,-0.24072729635952328,-0.23445485999377524,-0.2289583311152228,-0.22409824782994292,-0.2197604815271461,-0.21586260063736518,-0.21233237147680484,-0.2091038381548742,-0.20614857620023486,-0.2032472704599968,-0.2007918303461338},
+{-0.8419430028512807,-0.5137906847454587,-0.40426978406890157,-0.3507741861502609,-0.3177447276231078,-0.29703124172635853,-0.279739919329586,-0.2670132097948681,-0.25672508578134057,-0.24819706067228253,-0.24091713916288882,-0.2346432452549152,-0.22914513506907497,-0.22428355127499344,-0.2199444543844038,-0.21604523575376788,-0.21251369088554384,-0.20928387838955587,-0.20632736941627172,-0.20342473323580634,-0.20096771639134658},
+{-0.8418392501573067,-0.5138999366619714,-0.4044398132305105,-0.35096115711735365,-0.317937408783564,-0.29722419656229704,-0.2799330648152818,-0.2672065656314544,-0.25691807858629545,-0.24838896874473448,-0.24110759365623835,-0.23483223011294285,-0.22933253234793938,-0.22446944267755953,-0.22012900986658224,-0.21622844702051225,-0.2126955808017783,-0.20946448351503477,-0.20650672212263999,-0.20360275081486634,-0.20114415141301834},
+{-0.8417361773808807,-0.5140099464090895,-0.4046105805419984,-0.35114883800360985,-0.31813077688332214,-0.297417817673022,-0.28012685949056504,-0.26740055985817435,-0.25711170689226037,-0.24858149659348783,-0.2412986616766375,-0.2350218162383726,-0.22952052454957084,-0.22465592384071442,-0.22031414967523233,-0.2164122360932197,-0.21287804286839673,-0.20964565518158906,-0.20668663597336945,-0.203781324845977,-0.20132113690522146},
+{-0.8416337863751551,-0.5141207159717283,-0.4047820879276287,-0.35133723076239676,-0.31832483385528576,-0.2976121069156079,-0.2803213051226976,-0.26759519434483536,-0.25730597255073917,-0.2487746459941036,-0.2414903450011252,-0.23521200533241426,-0.22970911340223665,-0.22484299655400264,-0.22049987545403837,-0.21659660467162212,-0.21306107875818725,-0.20982739500800562,-0.20686711257008028,-0.20396045694837994,-0.20149867430541235},
+{-0.8415320789936231,-0.5142322473255376,-0.4049543373034794,-0.35152633731297556,-0.31851958158370053,-0.2978070660500407,-0.28051640351600327,-0.26779047094169073,-0.2575008773638956,-0.24896841872339337,-0.2416826454390275,-0.2354027990514851,-0.2298983005326818,-0.2250306626508518,-0.22068618887431057,-0.21678155441361469,-0.21324469011290148,-0.210009704594313,-0.20704815354702077,-0.20414014875882458,-0.2016767650853808},
+{-0.8414310571010901,-0.5143445424644142,-0.4051273305913128,-0.3517161596396363,-0.318715021989874,-0.29800269704924176,-0.2807121564388808,-0.2679863915319629,-0.25769642317845864,-0.24916281657738182,-0.24187556483411754,-0.2355941990821293,-0.23008808763734123,-0.22521892393217513,-0.22087309165215174,-0.21696708699550982,-0.213428878645459,-0.21019258560056642,-0.207229760554128,-0.2043204019150835,-0.20185541074670255},
+{-0.8413307225722519,-0.5144576033943054,-0.40530106974472346,-0.3519066997014306,-0.31891115701830586,-0.2981990016895679,-0.2809085657131618,-0.2681829579811392,-0.25789261181910206,-0.24935784137664996,-0.24206910498617162,-0.23578620715932175,-0.23027847641003518,-0.22540778223560665,-0.2210605854431833,-0.21715320416865325,-0.21361364601659716,-0.2103760396587404,-0.20741193525611834,-0.20450121805617982,-0.2020346128078927},
+{-0.8412310772752107,-0.5145714321152468,-0.40547555669593294,-0.35209795947071143,-0.31910798859451006,-0.2983959819169968,-0.2811056331628379,-0.2683801722090493,-0.2580894451559743,-0.24955349495883183,-0.24226326774817153,-0.23597882498938816,-0.23046946853833106,-0.22559723940730692,-0.2212486719924982,-0.21733990759582866,-0.21379899391990875,-0.21056006843627983,-0.2075946793311232,-0.20468259884034978,-0.20221437282191346},
+{-0.8411321230918247,-0.5146860306385292,-0.4056507933796638,-0.3522899409083493,-0.31930551862808443,-0.29859363956200013,-0.28130336051515314,-0.26857803604173114,-0.25828692496213534,-0.249749779072431,-0.24245805490443217,-0.2361720542552348,-0.2306610656904695,-0.2257872972019186,-0.22143735290819677,-0.2175271989436851,-0.21398492399487168,-0.2107446735103622,-0.2077779943629139,-0.2048645458834244,-0.20239469229250062},
+{-0.8410338619118534,-0.5148014009830604,-0.40582678175610454,-0.3524826459843098,-0.31950374908080903,-0.29879197646857847,-0.2815017496351402,-0.2687765514062903,-0.2584850531392249,-0.24994669556440385,-0.24265346828804013,-0.23636589670354624,-0.23085326954731045,-0.22597795748720273,-0.22162662994924176,-0.21771507994480999,-0.21417143794747062,-0.2109298565676454,-0.20796188207475552,-0.2050470608530759,-0.20257557283446204},
+{-0.8409362956139148,-0.5149175451720112,-0.4060035237766897,-0.35267607671130463,-0.31970268190138995,-0.29899099463500534,-0.2817008023125709,-0.26897572019402105,-0.2586838315090745,-0.25014424626237997,-0.24284950975231823,-0.2365603540772554,-0.23104608185690267,-0.2261692220868099,-0.2218165048402625,-0.21790355232030834,-0.21435853747072997,-0.21111561928375977,-0.2081463441371625,-0.20523014542186502,-0.20275701605237373},
+{-0.8408394260935665,-0.5150344652354306,-0.40618102140410883,-0.3528702350700996,-0.3199023190562684,-0.29919069585685065,-0.2819005204090672,-0.269175544321115,-0.2588832619298955,-0.2503424329960353,-0.24304618113694687,-0.23675542812645745,-0.23123950431954654,-0.22636109284667327,-0.2220069792600725,-0.2180926177876472,-0.2145462242837084,-0.21130196330386752,-0.2083313822092805,-0.20541380123813724,-0.2029390235596793},
+{-0.8407432552522209,-0.5151521632101321,-0.40635927660707694,-0.3530651230582862,-0.32010266248107655,-0.2993910820941892,-0.28210090572747504,-0.26937602569580577,-0.25908334625319185,-0.2505412576076651,-0.24324348425045628,-0.23695112059886014,-0.2314335386355424,-0.22655357159976575,-0.22219805496831668,-0.21828227805531242,-0.21473450002213212,-0.21148889028268059,-0.20851699799254675,-0.205598029965131,-0.20312159704565147},
+{-0.8406477849811154,-0.5152706411426493,-0.406538291347033,-0.35326074270278696,-0.32030371417954484,-0.29959215528185723,-0.28230196008428265,-0.2695771662398556,-0.25928408633512845,-0.2507407219371771,-0.2434414209701572,-0.23714743327298038,-0.2316281865549854,-0.2267466601634851,-0.22238973366449954,-0.21847253486657792,-0.21492336645428622,-0.21167640190526527,-0.20870319319180908,-0.2057828333214502,-0.2033047381552251},
+{-0.8405530172064459,-0.5153899010857685,-0.4067180676196358,-0.35345709597868336,-0.3205054760994699,-0.2997939172437327,-0.2825036853586198,-0.26977896789321676,-0.2594854840435801,-0.2509408278124283,-0.24363999311458429,-0.23734436795223246,-0.23182344975623437,-0.22694036039968069,-0.22258201712031678,-0.2186633899549406,-0.21511282521532848,-0.2118644998815853,-0.20888996950657202,-0.2059682129676048,-0.20348844863917748},
+{-0.8404589538305345,-0.5155099451048386,-0.4068986073892802,-0.3536541849414334,-0.32070795022968923,-0.29999637003106727,-0.28270608336458736,-0.2699814325699208,-0.2596875412609734,-0.25114157712130236,-0.24383920257707814,-0.23754192638170935,-0.23201933002485475,-0.22713467412108912,-0.2227749070674463,-0.21885484506196917,-0.21530287809980564,-0.2120531858618051,-0.20907732864179707,-0.20615417062685992,-0.20367273018496235},
+{-0.8403655967653094,-0.5156307752371845,-0.4070799126603788,-0.35385201158601376,-0.3209111385806409,-0.30019951545364165,-0.2829091559694916,-0.27018456220457665,-0.2598902598242603,-0.25134297168597186,-0.24403905114388635,-0.237740110392906,-0.23221582909957306,-0.22732960317330253,-0.22296840522506045,-0.2190469019228658,-0.21549352674742295,-0.2122424615363343,-0.20926527230858483,-0.20634070795074422,-0.20385758455859104},
+{-0.8402729479348636,-0.515752393566629,-0.4072619853963033,-0.3540505779557179,-0.3211150430922771,-0.30040335551097996,-0.283112905027906,-0.2703883587164455,-0.2600936416033619,-0.2515450133827244,-0.2442395406878859,-0.23793892178173337,-0.23241294866818407,-0.2275251493987298,-0.22316251334586923,-0.21923956225327856,-0.21568477289383736,-0.21243232861138495,-0.20945380223474785,-0.2065278266622954,-0.2040430135468796},
+{-0.840181009276705,-0.515874802181429,-0.40744482763795986,-0.3542498860952037,-0.3213196658286961,-0.30060789218839545,-0.2833173323955407,-0.2705928241116453,-0.26029768850014534,-0.25174770410490055,-0.24444067307285877,-0.23813836241129138,-0.23261069056047745,-0.2277213146600161,-0.2233572332404492,-0.2194328279013007,-0.21587661828220917,-0.2126227888422818,-0.209642920153442,-0.20671552853173125,-0.2042290189576761},
+{-0.8400897827116296,-0.5159980031590408,-0.4076284413533813,-0.3544499380304842,-0.3215250087647519,-0.3008131273389836,-0.2835224399748313,-0.2707979602959085,-0.26050240236338595,-0.2519510457021852,-0.24464245013962227,-0.23833843409147448,-0.23280905648766748,-0.22791810076967067,-0.22355256661774092,-0.2196267005599566,-0.21606906462125153,-0.2128138438613405,-0.2098326277665592,-0.20690381521581003,-0.20441560259018843},
+{-0.8399992701814654,-0.516121998580843,-0.40781282856733014,-0.3546507358242934,-0.32173107391588474,-0.3010190630393481,-0.2837282295912473,-0.271003769254321,-0.2607077851141639,-0.252155040072239,-0.24484487377992536,-0.23853913867174015,-0.23300804825555588,-0.228115509597842,-0.2237485152915042,-0.2198211819726339,-0.21626211367106407,-0.21300549545310332,-0.21002292685898283,-0.20709268844302642,-0.20460276630683438},
+{-0.8399094736243455,-0.516246790555158,-0.4079979912989984,-0.3548522815241313,-0.3219378633161796,-0.3012257011557722,-0.2839347031804209,-0.2712102529465028,-0.26091383861023587,-0.2523596890823683,-0.24504794582855993,-0.2387404780140514,-0.2332076676353836,-0.2283135429572667,-0.223945081010811,-0.22001627397241919,-0.21645576713433456,-0.2131977453119589,-0.21021381914351878,-0.207282149950629,-0.20479051196559794},
+{-0.839820394990511,-0.5163723811859882,-0.40818393156894217,-0.35505457719227707,-0.32214537897948503,-0.3014330437113131,-0.2841418625987444,-0.2714174133228653,-0.2611205647309589,-0.25256499465763227,-0.24525166811599775,-0.2389424540120899,-0.23340791641635406,-0.22851220271707007,-0.22414226557702932,-0.22021197829917583,-0.21665002678230394,-0.2133905951872066,-0.21040530636855692,-0.20747220144869516,-0.20497884146573142},
+{-0.8397320362291225,-0.5164987725738683,-0.4083706513877132,-0.3552576249253434,-0.32235362295079995,-0.3016410927060633,-0.28434970974456064,-0.2716252523862295,-0.2613279653913878,-0.25277095869489585,-0.24545604256172737,-0.23914506852281647,-0.2336087963846012,-0.2287114907128398,-0.2243400707756109,-0.22040829676416251,-0.2168448943561998,-0.2135840468116612,-0.21059739032239122,-0.20766284469357288,-0.2051677566704484},
+{-0.8396443992957643,-0.5166259668479825,-0.4085581527983777,-0.35546142673990744,-0.3225625972677335,-0.30184985003893416,-0.284558246562824,-0.271833772097807,-0.26153604247451767,-0.252977583095344,-0.24566107097518852,-0.23934832344650658,-0.23381030934024238,-0.22891140878982696,-0.22453849836881545,-0.220605231094396,-0.2170403716124838,-0.2137781019062004,-0.21079007270793682,-0.20785408138783623,-0.2053572594917341},
+{-0.8395574861575028,-0.5167539661318301,-0.40874643784411546,-0.355665984776806,-0.32277230396425693,-0.30205931784405493,-0.2847674749223188,-0.27204297444995973,-0.26174479789494853,-0.2531848697701662,-0.24586675527859825,-0.2395522207200429,-0.23401245714364904,-0.22911195880612922,-0.22473755021792385,-0.2208027831599111,-0.21723646033547084,-0.21397276226116446,-0.2109833553597582,-0.20804591328521838,-0.20554735187681672},
+{-0.8394712987699791,-0.5168827725498204,-0.4089355085544639,-0.3558713010793326,-0.32298274512095304,-0.30226949799703107,-0.2849773967633382,-0.2722528614391422,-0.2619542335370397,-0.253392820641011,-0.2460730972844658,-0.23975676220436526,-0.23421524161142315,-0.22931314258994462,-0.22493722807541872,-0.22100095470011638,-0.2174331622467207,-0.21416802960300174,-0.21117723997201665,-0.20823834211660142,-0.20573803568868243},
+{-0.8393858391170284,-0.517012388242847,-0.409125366991816,-0.35607737777638704,-0.3231939227688372,-0.3024803925851529,-0.2851880140145795,-0.2724634350482802,-0.2621643513340359,-0.25360143766226884,-0.2462800988809022,-0.23996194987432773,-0.23441866455470972,-0.2295149620091479,-0.22513753381463175,-0.22119974757470118,-0.21763047913816536,-0.21436390572921482,-0.2113717283797314,-0.20843136959967978,-0.20592931292048888},
+{-0.8393011091655467,-0.5171428153714714,-0.4093160152069686,-0.35628421696162604,-0.32340583901634545,-0.3026920036153342,-0.2853993285970091,-0.2726746973108902,-0.2623751531735934,-0.2538107227610453,-0.246487761959429,-0.24016778568216068,-0.23462272786684935,-0.22971741890512476,-0.2253384692049849,-0.22139916354922207,-0.21782841281151377,-0.21456039238421454,-0.2115668223401599,-0.2086249975195642,-0.20612118546603142},
+{-0.839217110904201,-0.5172740560685725,-0.4095074552542428,-0.35649182070437746,-0.32361849590552083,-0.30290433304753606,-0.28561134247001974,-0.2728866501900029,-0.2625866409744049,-0.2540206778517131,-0.2466960883377851,-0.24037427152961754,-0.2348274333609197,-0.22992051512835587,-0.22554003605625894,-0.2215992044509676,-0.21802696498764362,-0.21475749134651778,-0.21176252361692605,-0.20881922757018856,-0.20631365522285705},
+{-0.8391338463100055,-0.5174061124987475,-0.40969968920433075,-0.35670019115639207,-0.32383189550989755,-0.303117383013614,-0.2858240575609443,-0.27309929572231795,-0.2627988166667592,-0.25423130491719803,-0.2469050799264778,-0.24058140939416717,-0.23503278295447672,-0.23012425253148194,-0.22574223625838385,-0.2217998721081358,-0.21822613747940522,-0.21495520439032134,-0.21195883401912852,-0.20901406152211166,-0.20650672412932636},
+{-0.8390513173894192,-0.517538986838531,-0.40989271913224457,-0.3569093304328135,-0.3240460399554195,-0.3033311554657985,-0.2860374758539592,-0.2733126359345306,-0.263011682147976,-0.25444260589165424,-0.24711473860645583,-0.2407892012776074,-0.23523877854745479,-0.23032863298305983,-0.22594507160852118,-0.22200116836415873,-0.21842593207497885,-0.2151535333512129,-0.21215575535416065,-0.20920950114202697,-0.2067003941438088},
+{-0.8389695261280394,-0.5176726812576362,-0.41008654711015424,-0.3571192406409409,-0.32426093129402034,-0.30354565249342613,-0.2862515992998169,-0.2735266728142278,-0.263225239348003,-0.25465458273640706,-0.24732506619375272,-0.24099764909169608,-0.235445421970212,-0.2305336583007147,-0.22614854393543737,-0.22220309499084578,-0.2186263505233228,-0.2153524799675779,-0.21235328937893883,-0.20940554810397316,-0.20689466707653992},
+{-0.8388884745246514,-0.5178071979291872,-0.41028117522932916,-0.35732992394196117,-0.3244765716708571,-0.3037608761782167,-0.28646642987075666,-0.2737414084485863,-0.26343949023794266,-0.2548672374423404,-0.24753606463718825,-0.24120675487733934,-0.2356527152290937,-0.2307393304137122,-0.22635265514475122,-0.22240565391075506,-0.21882739468082946,-0.21555204613071055,-0.212551437938032,-0.2096022042868526,-0.20708954491294662},
+{-0.8388081645927628,-0.5179425390473398,-0.4104766055804703,-0.35754138244749356,-0.32469296316719465,-0.3039768284945694,-0.28668196956868996,-0.27395684483167315,-0.2636544366999942,-0.2550805719706659,-0.24774773577291853,-0.24141652060393426,-0.2358606601937936,-0.23094565112683085,-0.22655740704260552,-0.22260884695231198,-0.21902906627235552,-0.2157522335894555,-0.2127502028233721,-0.20979947140460808,-0.20728502950896655},
+{-0.8387285983405377,-0.5180787068113659,-0.410672840258826,-0.35775361832679664,-0.32491010789726715,-0.30419351162004205,-0.2868982203564201,-0.27417298401337575,-0.26387008072208573,-0.25529458830283147,-0.24796008149530735,-0.24162694828976328,-0.236069258825637,-0.23115262234580314,-0.22676280153189055,-0.22281267591210963,-0.21923136716452518,-0.21595304417996886,-0.2129495858653172,-0.20999735121279173,-0.20748112270746333},
+{-0.8386497777854061,-0.5182157034122383,-0.4108698813583942,-0.3579666337124081,-0.3251280079952039,-0.30441092753437715,-0.2871151842640529,-0.27438982802721057,-0.26408642420039996,-0.2555092884138048,-0.2481731036735937,-0.24183803991513741,-0.2362785130959537,-0.23136024592088233,-0.22696884044876242,-0.22301714267609896,-0.2194342991334679,-0.21615447975204916,-0.21314958885398028,-0.21019584551413573,-0.2076778263808592},
+{-0.838571704954461,-0.5183535310658272,-0.411067731004664,-0.35818043077517814,-0.32534666558217396,-0.3046290783643144,-0.28733286327621954,-0.2746073789322736,-0.26430346911354263,-0.2557246743081123,-0.24838680417667547,-0.2420497974914042,-0.23648842492605127,-0.23156852371334935,-0.22717552565814003,-0.22322224911704325,-0.21963786394690032,-0.21635654214946953,-0.21335021361471718,-0.21039495604657077,-0.20787514235769322},
+{-0.8384943818639385,-0.5184921919894805,-0.4112663912916332,-0.3583950116736787,-0.3255660828042437,-0.3048479662260206,-0.287551259393922,-0.27482563879596,-0.26452121738168444,-0.2559407479894844,-0.2486011849254055,-0.24226222305583178,-0.23669899634148805,-0.2317774576337115,-0.22738285905961675,-0.22342799708792427,-0.21984206350214208,-0.21655923317098313,-0.213551461989141,-0.2105946846641018,-0.20807307248355755},
+{-0.838417810555768,-0.5186316884080497,-0.411465864365141,-0.3586103785797832,-0.32578626178997183,-0.30506759313493603,-0.2877703746740963,-0.27504460965678845,-0.26473967098229423,-0.25615751143504895,-0.2488162477707192,-0.2424753186099906,-0.23691022927584982,-0.23198704953574634,-0.22759084253630135,-0.22363438846900863,-0.2200468995420124,-0.21676255472232242,-0.21375333580488132,-0.21079503312444103,-0.20827161859097032},
+{-0.838341993068525,-0.518772022563553,-0.4116661523426046,-0.35882653368639694,-0.3260072046990672,-0.3052879613045434,-0.28799021112229184,-0.27526429360079874,-0.2649588319121676,-0.25637496668127824,-0.24903199464563386,-0.24268908618250862,-0.23712212580903724,-0.23219730133405392,-0.22779947798949252,-0.22384142508656169,-0.2202523739828166,-0.2169665086206578,-0.21395583688990882,-0.21099600323657342,-0.20847078246617912},
+{-0.8382669314400459,-0.5189131966719742,-0.4118672573628146,-0.3590434791642565,-0.3262289136977188,-0.3055090727308425,-0.28821077080237956,-0.27548469268651843,-0.26517870205668714,-0.2565931157351997,-0.24924842739733322,-0.24290352777109092,-0.23733468793250267,-0.23240821487763696,-0.22800876729070296,-0.22404910886211837,-0.22045848860193473,-0.2171710967746776,-0.2141589670935673,-0.21119759679811523,-0.20867056587962907},
+{-0.8381926277116349,-0.5190552129874959,-0.41206918155376115,-0.35926121720092397,-0.3264513909097104,-0.30573092960662507,-0.2884320557384399,-0.2757058089646307,-0.2653992834426617,-0.2568119605952006,-0.24946554791961262,-0.24311864543358297,-0.23754791765065875,-0.23261979208507455,-0.22821871234452829,-0.22425744165821015,-0.22066524523313547,-0.21737632098347603,-0.2143627282430316,-0.21139981562816956,-0.2088709706293912},
+{-0.8381190839504029,-0.5191980737730546,-0.4122719270815196,-0.35947975000829047,-0.3266746385517081,-0.3059535340639741,-0.28865406798320237,-0.2759276445784735,-0.2656205780383516,-0.25703150332708447,-0.24968335812559417,-0.24333444118258285,-0.23776181703908605,-0.23283203487983428,-0.22842931508444053,-0.22446642537818207,-0.22087264577464794,-0.21758218324498557,-0.21456712220708596,-0.21160266157937713,-0.209071998519903},
+{-0.8380463022102163,-0.5193417812885173,-0.412475496082493,-0.35969907978244464,-0.3268986587756899,-0.30617688816937516,-0.2888768096348713,-0.27615020154746617,-0.2658425878092885,-0.25725174593128486,-0.24990185990327518,-0.24355091703318976,-0.2379763881103827,-0.23304494513968166,-0.22864057739900545,-0.22467606189661637,-0.22108069203579817,-0.2177886853205564,-0.21477215082336443,-0.21180613645151425,-0.20927365130910403},
+{-0.8379742845482383,-0.5194863377903403,-0.41267989074196976,-0.359919208741303,-0.32712345376478424,-0.30640099417075817,-0.2891002827335569,-0.27637348200323686,-0.2660653147515859,-0.25747269043370125,-0.2501210551915847,-0.24376807503392683,-0.23819163297537216,-0.23325852480820686,-0.22885250123943024,-0.2248863530841163,-0.22128938591924907,-0.217995829174356,-0.2149778159773632,-0.2120102421001775,-0.2094759307539107},
+{-0.8379030330412434,-0.5196317455695407,-0.41288511320976795,-0.3601401391052832,-0.3273490257294043,-0.30662585408629184,-0.28932448938962807,-0.27659748805092477,-0.2662887608548772,-0.2576943389034341,-0.2503409458479382,-0.24398591719341312,-0.2384075537050876,-0.23347277578045578,-0.22906508850610408,-0.2250973008492565,-0.22149872929162484,-0.21820361669813337,-0.21518411954059502,-0.21221498035936293,-0.20967883864352643},
+{-0.8378325497581613,-0.5197780068878046,-0.41309116567481396,-0.3603618730917333,-0.32757537685449734,-0.30685147017129566,-0.28954943168082536,-0.2768222217580387,-0.2665129281361942,-0.2579166933776378,-0.25056153380705837,-0.2442044455381165,-0.23862415235839762,-0.23368770001013672,-0.22927834114841517,-0.2253089070994747,-0.2217087240053388,-0.21841204977374673,-0.21539106330362756,-0.21242035307648166,-0.2098823767163367},
+{-0.8377628367795751,-0.5199251240569538,-0.41329805031057276,-0.36058441293789656,-0.32780250934149535,-0.3070778445603537,-0.28977511168227466,-0.2770476852649608,-0.26673781856322876,-0.2581397558943763,-0.25078282097365445,-0.2444236620843867,-0.2388414310778444,-0.2339032994051422,-0.22949226111404641,-0.22552117377802006,-0.221919371974991,-0.21862113034387676,-0.21559864922960514,-0.21262636213202768,-0.21008654674983518},
+{-0.8376938961933433,-0.5200730993711886,-0.4135057693180215,-0.3608077608724898,-0.3280304254077464,-0.3073049793811151,-0.29000153153344854,-0.2772738806573898,-0.266963434161994,-0.2583635285271839,-0.25100480924470503,-0.24464356884834615,-0.23905939191456582,-0.23411957592315957,-0.22970685032555593,-0.22573410272525507,-0.22213067507323103,-0.21883086027492027,-0.21580687913171914,-0.21283300934965155,-0.21029135052333459},
+{-0.8376257300865859,-0.5202219351255053,-0.41371432487801485,-0.36103191917334243,-0.32825912726571005,-0.307532876875257,-0.2902286933368714,-0.2775008100945797,-0.26718977693997203,-0.25858801331969516,-0.2512275006025675,-0.24486416787476628,-0.23927803702520123,-0.23433653151005274,-0.2299221107628,-0.22594769589761654,-0.22234263521750108,-0.21904124153093107,-0.2160157549443511,-0.21304029661587265,-0.21049678983365538},
+{-0.837558340550288,-0.5203716336408206,-0.41392371920790083,-0.36125689006087214,-0.32848861714933264,-0.3077615391634936,-0.29045659922564937,-0.27772847566245673,-0.2674168489292015,-0.2588132123369178,-0.25145089691272915,-0.2450854611364548,-0.23949736854979164,-0.23455416812237218,-0.23013804435800012,-0.22616195521004556,-0.22255525428511191,-0.2192522760301472,-0.21622527852684925,-0.21324822578094427,-0.21070286643009695},
+{-0.837491729694193,-0.5205221972369145,-0.41413395451297674,-0.361482675805064,-0.3287188972783497,-0.30799096847999863,-0.2906852513075364,-0.27795687950811043,-0.2676446521439857,-0.2590391276734181,-0.25167500012764776,-0.24530745067249882,-0.2397173885498205,-0.2347724877130304,-0.23035465308839775,-0.22637688257725586,-0.22276853419964482,-0.21946396568864657,-0.2164354517499305,-0.213456798693187,-0.2109095820942457},
+{-0.8374258996230424,-0.520673628245504,-0.41434503302627945,-0.36170927869238767,-0.3289499699205862,-0.30822116703495794,-0.29091465175133635,-0.278186023770445,-0.2678731886337573,-0.2592657614121663,-0.2518998121946652,-0.24553013852130334,-0.2399380992623037,-0.23499149226017835,-0.23057193893532713,-0.22659247998501542,-0.22298247692538098,-0.21967631247196096,-0.21664627656912216,-0.21366601725856071,-0.21111693869374903},
+{-0.837360852442032,-0.5208259289948955,-0.41455695695401573,-0.36193670095417474,-0.3291818372963462,-0.30845213693737605,-0.2911448026886774,-0.27841591058597714,-0.26810246042214203,-0.25949311555393706,-0.25212533500643985,-0.24575352664089678,-0.24015950274906572,-0.23521118372525507,-0.23078990384317422,-0.22680874930586015,-0.22319708430188712,-0.21988931827343094,-0.21685775481557812,-0.2138758833192469,-0.21132493794289076},
+{-0.8372965902651117,-0.5209791018342003,-0.4147697285424101,-0.36216494490577134,-0.329414501656629,-0.30868388052363116,-0.2913757062597142,-0.2786465421089588,-0.2683324695593683,-0.25972119227310486,-0.25235157055874424,-0.24597761705899757,-0.24038160121347119,-0.23543156410278243,-0.23100854982510555,-0.22702569250452598,-0.22341235836279338,-0.22010298509519544,-0.21706988846972308,-0.21408639877142832,-0.21153358174490222},
+{-0.8372331152298784,-0.521133149120601,-0.4149833500443947,-0.36239401282580275,-0.3296479652915423,-0.30891639992375985,-0.2916073646673567,-0.2788779204886396,-0.2685632180767925,-0.25994999362126237,-0.2525785207911895,-0.24620241182424252,-0.24060439685456458,-0.2356526353701156,-0.23122787886029528,-0.22724331156382505,-0.22362830098074937,-0.22031731486822537,-0.21728267940250134,-0.21429756545876444,-0.21174287188125618},
+{-0.837170429445905,-0.5212880731950236,-0.41519782367959124,-0.3626239070089241,-0.3298822304325313,-0.3091496973967196,-0.29183978008234135,-0.2791100479113311,-0.2687947080755748,-0.26017952172333025,-0.25280618764099927,-0.24642791290500554,-0.2408278917704365,-0.23587439953314515,-0.23144789295633927,-0.22746160842370955,-0.2238449141309502,-0.2205323095397489,-0.21749612956182318,-0.2145093852343507,-0.21195281022266954},
+{-0.8371085350568706,-0.5214438764508031,-0.4154131517271935,-0.3628546297603634,-0.3301172993685668,-0.309383775189076,-0.2920729546470966,-0.27934292651639225,-0.2690269415718376,-0.2604097786163493,-0.2530345730802992,-0.24665412233673578,-0.24105208816047252,-0.23609685860014906,-0.2316685940681964,-0.22768058504266264,-0.22406219977494857,-0.22074797108928124,-0.21771024083966495,-0.21472186001119553,-0.21216339859211075},
+{-0.8370474342029297,-0.521600561246828,-0.41562933645502653,-0.3630861833844392,-0.33035317439987466,-0.30961863548532165,-0.29230689059158976,-0.2795765584947958,-0.2692599206702653,-0.26064076646423473,-0.25326367907166514,-0.24688104212248163,-0.24127698819654597,-0.2363200145408655,-0.231889984249392,-0.2279002433823507,-0.22428015986781702,-0.220964301451545,-0.21792501522065777,-0.21493499165455887,-0.2123746388846257},
+{-0.8369871290273068,-0.5217581299715448,-0.41584638013705444,-0.3633185702034325,-0.33058985778393435,-0.3098542806279738,-0.2925415900832604,-0.27981094601580025,-0.26949364742756643,-0.2608724873487063,-0.25349350760109246,-0.24710867429416794,-0.2415025941204476,-0.23654386943053396,-0.23211206552332442,-0.22812058541478564,-0.2244987964104439,-0.22118130265494074,-0.2181404545933674,-0.21514878202526688,-0.21258653293170937},
+{-0.8369276216681669,-0.5219165850048739,-0.4160642850356453,-0.3635517925424665,-0.3308273518309761,-0.310090712744568,-0.29277705536162557,-0.2800460912927747,-0.26972812392023116,-0.2611049433928656,-0.2537240606287696,-0.24733702085859477,-0.2417289080555065,-0.2367684252365052,-0.23233483984370196,-0.2283416131016338,-0.22471811134698783,-0.22139897662816566,-0.21835656091968758,-0.21536323301040738,-0.21279908262124536},
+{-0.8368689142976109,-0.522075928758909,-0.41628305346000616,-0.3637858527310982,-0.3310656588373604,-0.3103279341810321,-0.2930132886293677,-0.28028199649941143,-0.2699633522732938,-0.2613381367235661,-0.2539553401381909,-0.24756608383722778,-0.24195593221270428,-0.23699368400832554,-0.23255830931793753,-0.2285633284608366,-0.22493810668538572,-0.22161732537949774,-0.21857333616435426,-0.21557834647990148,-0.2130122898869331},
+{-0.8368110090597156,-0.5222361636289179,-0.41650268769376453,-0.3640207531119586,-0.33130478112832407,-0.31056594721985675,-0.2932502920858724,-0.2805186638501027,-0.2701993345531264,-0.2615720694719812,-0.254187348155142,-0.24779586526153707,-0.24218366880222675,-0.23721964779645077,-0.2327824758880297,-0.2287857334290493,-0.22515878444266946,-0.2218363508998209,-0.21879078226356796,-0.21579412431879064,-0.2132261565858471},
+{-0.8367539081335167,-0.5223972920415463,-0.4167231900579509,-0.36425649601949317,-0.3315447210009097,-0.3108047540391681,-0.2934880679987373,-0.2807560955585586,-0.27043607286645965,-0.2618067437344962,-0.2544200866278743,-0.24802636719743987,-0.24241212000299583,-0.23744631863337418,-0.23300734168083181,-0.22900883002080263,-0.2253801466126788,-0.2220560551803601,-0.2190089012108274,-0.21601056841939226,-0.21344068470193633},
+{-0.8366976136872495,-0.522559316415709,-0.41694456285961223,-0.36449308381611445,-0.3317854807844469,-0.31104435705151445,-0.2937266186067973,-0.28099429384565155,-0.2706735693694782,-0.26204216169753636,-0.2546535576145743,-0.24825759159421068,-0.24264128805043583,-0.2376736985630714,-0.23323290872303915,-0.2292326201978767,-0.2256021952395031,-0.22227644021427295,-0.21922769496666206,-0.2162276806927821,-0.2136558761210381},
+{-0.8366421278923895,-0.5227222391813484,-0.4171668084297835,-0.36473051886059693,-0.33202706282952477,-0.3112847584212659,-0.29396594614627247,-0.2812332609157693,-0.2709118261137746,-0.262278325491593,-0.2548877630944162,-0.24848954058927575,-0.24287117514882084,-0.23790178964213737,-0.23345917904032376,-0.2294571059765076,-0.2258249322970869,-0.22249750800551737,-0.21944716547977805,-0.21644546299751255,-0.21387173278765204},
+{-0.836587452928029,-0.5228860627607901,-0.41738992906346084,-0.3649688035250165,-0.3322694694280699,-0.31152596051322234,-0.2942060528805541,-0.2814729989885336,-0.27115084527372346,-0.2625152372379489,-0.25512270507090307,-0.24872221615135004,-0.2431017834658178,-0.2381305939163667,-0.23368615466199572,-0.2296822893152921,-0.2260483598143992,-0.2227192605386108,-0.21966731476129553,-0.21666391722055778,-0.2140882566543496},
+{-0.8365335909990108,-0.5230507896303607,-0.41761392714749945,-0.36520794018952074,-0.3325127029658006,-0.31176796563977405,-0.2944469410547299,-0.28171351036530723,-0.2713906289747001,-0.2627528991579311,-0.25535838560404045,-0.24895562038216212,-0.24333311526015677,-0.23836011349453656,-0.2339138377344625,-0.22990817229583627,-0.22627247992079447,-0.22294169988606427,-0.21988814478413587,-0.21688304534541203,-0.21430544974077748},
+{-0.836480544291021,-0.5232164222226174,-0.41783880499974657,-0.36544793121333896,-0.3327567657917143,-0.3120107760424844,-0.29468861299028504,-0.2819547972159171,-0.2716311793568593,-0.26299131335713355,-0.25559480669323875,-0.24918975531647902,-0.24356517268824973,-0.23859035042869436,-0.23414223025019965,-0.2301347568707115,-0.2264972945658883,-0.22316482800260928,-0.22010965755498546,-0.21710284924836287,-0.21452331396665159},
+{-0.8364283149993526,-0.5233829630107039,-0.4180645649805683,-0.36568877902857366,-0.33300166023263955,-0.3122543941587992,-0.2949310709374231,-0.28219686183422255,-0.27187249856308426,-0.2632304820281206,-0.2558319704215819,-0.24942462299588897,-0.2437979580334968,-0.23882130680715363,-0.23437133435743362,-0.2303620450584276,-0.22672280586516536,-0.223388646952003,-0.2203318550990616,-0.21732333084366928,-0.2147418513836783},
+{-0.8363769053335091,-0.5235504144641254,-0.41829120946567855,-0.36593048599331723,-0.33324738868770964,-0.31249882216343394,-0.29517431723741083,-0.28243970649100447,-0.27211458874489836,-0.26347040735197425,-0.25606987879416465,-0.24966022554099254,-0.24403147347788945,-0.2390529847156131,-0.23460115210855292,-0.2305900389044382,-0.2269490158661256,-0.22361315874195498,-0.22055473938030445,-0.21754449208151527,-0.21496106395659353},
+{-0.8363263174983331,-0.5237187790609141,-0.4185187408257889,-0.36617305454626603,-0.33349395351945077,-0.3127440625039526,-0.29541835414522666,-0.28268333341759444,-0.2723574520978218,-0.26371109152000827,-0.2563085338759947,-0.2498965649759839,-0.24426572124036738,-0.2392853862585298,-0.23483168556674627,-0.2308187404335058,-0.22717592662490915,-0.22383836540905122,-0.2207783123973286,-0.21776633486183528,-0.2151809537610916},
+{-0.836276553719415,-0.523888059290698,-0.418747161430133,-0.36641648708859975,-0.33374135709266284,-0.31299011748035355,-0.2956631839614374,-0.2829277449086476,-0.2726010907707632,-0.2639525367345641,-0.2565479377386737,-0.25013364342271416,-0.2445007035520348,-0.2395185135230804,-0.23506293688262758,-0.23104815168596815,-0.22740354024051612,-0.22406426899169674,-0.22100257622344088,-0.21798886115175264,-0.21540152280454095},
+{-0.8362276162121702,-0.5240582576431052,-0.4189764736864845,-0.36666078602456764,-0.33398960181796156,-0.3132369894231033,-0.29590880906812345,-0.2831729432245993,-0.2728455069411666,-0.26419474518149855,-0.2567880924140127,-0.25037146291174395,-0.2447364225738511,-0.239752368640211,-0.23529490809096387,-0.23127827466805684,-0.22763185878648073,-0.2242908715223848,-0.2212275328264468,-0.21821207290849998,-0.21562277316047584},
+{-0.8361795072164,-0.5242293766407329,-0.4192066799840859,-0.3669059538228794,-0.33423869007901885,-0.31348468073667846,-0.29615523177380965,-0.2834189306953476,-0.27309070281603454,-0.26443771907952396,-0.2570290000643354,-0.25061002558618384,-0.24497288059774291,-0.23998695371994927,-0.235527601381591,-0.2315091115119685,-0.2278608843693064,-0.2245181750718075,-0.22145318431330452,-0.21843597209272048,-0.21584470691527713},
+{-0.8361322289400164,-0.5244014187719586,-0.41943778273162025,-0.36715199288926215,-0.33448862428463144,-0.3137331937119825,-0.2964024544090762,-0.2836657095584769,-0.2733366805737205,-0.2646814606364387,-0.2572706626535819,-0.2508493335026287,-0.24521007982150422,-0.2402222708856243,-0.23576101878461486,-0.23174066419358041,-0.22809061905422823,-0.22474618166950222,-0.22167953264943208,-0.21866056062549433,-0.21606732610234758},
+{-0.8360857836483433,-0.5245743865631312,-0.4196697843512993,-0.3673989056838991,-0.3347394068102858,-0.31398253077964,-0.2966504793093918,-0.2839132821268322,-0.27358344242873045,-0.26492597210972235,-0.2575130823438485,-0.25108938880896403,-0.24544802244110997,-0.2404583222603378,-0.23599516246417807,-0.23197293482041914,-0.22832106494661275,-0.22497489339491494,-0.2219065798713018,-0.2188858404565508,-0.2162906328514964},
+{-0.8360401735778282,-0.5247482825681118,-0.41990268727136026,-0.36764669467095246,-0.33499104013105807,-0.3142326943261651,-0.2968993088715024,-0.2841616507529352,-0.27383099060614313,-0.2651712557320707,-0.2577562612437987,-0.2513301936045309,-0.24568671071017434,-0.24069511000539023,-0.23623003452735247,-0.2322059254877331,-0.22855222419627808,-0.2252043123120302,-0.22213432807370737,-0.21911181360633236,-0.21651462929844456},
+{-0.8359954009753778,-0.5249231092932405,-0.4201364939121959,-0.3678953622768404,-0.3352435266270959,-0.31448368662961457,-0.29714894544292747,-0.28441081769256016,-0.27407932727817297,-0.26541731369525223,-0.2580002013842204,-0.25157174996388676,-0.24592614681716896,-0.24093263624160954,-0.23646563706722645,-0.23243963824211278,-0.22878409889210616,-0.22543444044640637,-0.22236277925617287,-0.2193384820081974,-0.21673931751138298},
+{-0.8359514680980169,-0.5250988692981764,-0.42037120673182926,-0.36814491099892166,-0.33549686873493556,-0.3147355102164511,-0.29739939140483784,-0.2846607852964098,-0.2743284547550502,-0.26566414832336704,-0.25824490494710517,-0.25181406003378015,-0.24616633302639457,-0.24117090313961853,-0.23670197228011602,-0.23267407518562777,-0.22901669116424728,-0.225665279937175,-0.22259193550621603,-0.21956584766257947,-0.21696469963058007},
+{-0.8359083772202212,-0.5252755651468988,-0.4206068281919215,-0.36839534331613777,-0.33575106891203177,-0.3149881673806476,-0.29765064916591655,-0.2849115558607309,-0.2745783751848876,-0.26591176186275334,-0.2584903740222444,-0.25205712599722574,-0.24640727153098396,-0.2414099128388898,-0.2369390422354627,-0.23290923841250333,-0.22925000312795873,-0.2258968328389983,-0.22282179889475628,-0.21979391251488778,-0.21719077782245222},
+{-0.835866130598788,-0.5254531993936098,-0.4208433607312827,-0.368646661715502,-0.33600612958264264,-0.31524166059887193,-0.29790272109812577,-0.285163131767149,-0.27482909087757434,-0.2661601565913543,-0.25873661073501353,-0.25230094991400165,-0.24664896454601148,-0.24164966751686734,-0.2371768491346984,-0.233145130058233,-0.22948403690497798,-0.22612910122597896,-0.2230523714570154,-0.2200226785223549,-0.21741755423317954},
+{-0.8358247305039868,-0.5256317745959223,-0.42108080682851323,-0.3688988686704988,-0.3362620532047913,-0.315495992271849,-0.2981556096164013,-0.2854155153074771,-0.27508060403374657,-0.2664093347866583,-0.2589836172313653,-0.2525455339813334,-0.24689141434203066,-0.2418901693567932,-0.237415395056928,-0.2333817522002164,-0.22971879465967504,-0.22636208720905415,-0.22328365527141614,-0.22025214769064405,-0.21764503100075672},
+{-0.8357841792292788,-0.5258112933591974,-0.42131916897869814,-0.36915196670452133,-0.3365188422415031,-0.31575116478109067,-0.2984093171517088,-0.28566870885026674,-0.2753329169523795,-0.26665929874366157,-0.2592313956312182,-0.2527908803322134,-0.24713462309762235,-0.24213142051314662,-0.23765468217141006,-0.23361910696371524,-0.22995427855335038,-0.22659579290416332,-0.2235156524031936,-0.22048232205020213,-0.21787321028023143},
+{-0.8357444790504474,-0.5259917582566231,-0.42155844965043343,-0.3694059582993532,-0.3367764991553486,-0.31600718062384203,-0.29866384610488694,-0.2859227147382626,-0.27558603187128483,-0.26691005076713736,-0.25947994812906927,-0.25303699112566846,-0.24737859305810161,-0.24237342320384414,-0.23789471265183693,-0.2338571965030951,-0.23019049071626796,-0.22683022038836498,-0.2237483649673777,-0.2207132034930055,-0.21810209422937987},
+{-0.8357056322592484,-0.5261731718806004,-0.4217986513518781,-0.3696608460131756,-0.33703502643254524,-0.31626404215137427,-0.2989191989493065,-0.286177535335014,-0.27583995105044323,-0.26716159318186783,-0.2597292768201669,-0.2532838685539218,-0.2476233264541179,-0.24261617960030435,-0.2381354886236977,-0.23409602291940246,-0.23042743327255266,-0.22706537181215936,-0.22398179501351478,-0.22094479404086087,-0.21833168500143074},
+{-0.835667641164946,-0.5263555368500192,-0.4220397765858479,-0.3699166323369809,-0.3372944265316846,-0.3165217518819645,-0.2991753781046782,-0.2864331729958849,-0.276094676808043,-0.2674139283031991,-0.2599793838987807,-0.2535315148014661,-0.2478688255190491,-0.24285969190918877,-0.23837701227853358,-0.23433558840770274,-0.2306651084272744,-0.2273012492585167,-0.22421594465072303,-0.2211770956998862,-0.2185619847768976},
+{-0.8356305080482116,-0.5265388557789947,-0.4222818278722116,-0.3701733198281545,-0.337554701973545,-0.3167803122599935,-0.2994323860327768,-0.2866896301052293,-0.2763502114055427,-0.2676670584810381,-0.26023027160567835,-0.2537799320382419,-0.24811509247672348,-0.243103962346936,-0.2386192857422884,-0.23457589505119358,-0.2309035183427568,-0.22753785489658185,-0.2244508159240013,-0.2214101104088968,-0.2187929956996868},
+{-0.8355942352442867,-0.5267231312860758,-0.42252480773902334,-0.37043091100974834,-0.3378158552260402,-0.31703972568413974,-0.29969022522118394,-0.28694690903387254,-0.27660655713748383,-0.2679209860455103,-0.2604819420319018,-0.254029122492625,-0.2483621295455123,-0.24334899312805192,-0.23886231123742618,-0.23481694509519002,-0.23114266517950455,-0.22777519084752385,-0.2246864110200022,-0.22164384018788041,-0.21902471990279082},
+{-0.8355588250576602,-0.5269083660156184,-0.42276871873298205,-0.37068940845688303,-0.3380778888149507,-0.31729999472440795,-0.2999488981133709,-0.2872050121769689,-0.2768637163258063,-0.2681757133947258,-0.260734397452552,-0.25427908836309143,-0.2486099390215486,-0.2435947864830723,-0.23910609096151347,-0.23505874065608623,-0.23138255116555229,-0.22801325923728655,-0.2249227319862257,-0.22187828705614265,-0.21925715956194836},
+{-0.8355242798085669,-0.5270945625820787,-0.4230135633795271,-0.3709488147212596,-0.3383408052492314,-0.3175611217459391,-0.3002084072145408,-0.2874639419160303,-0.2771216912211685,-0.2684312428235671,-0.2609876400213125,-0.2545298318749474,-0.2488585230935314,-0.24384134462002294,-0.2393506270261696,-0.23530128392030747,-0.23162317837204682,-0.22825206221068584,-0.2251597808851784,-0.22211345291907492,-0.2194903167312532},
+{-0.8354906018182646,-0.5272817236507308,-0.42325934422819955,-0.37120913235139597,-0.338604607011348,-0.3178231092996384,-0.30046875499976977,-0.287723700620063,-0.2773804841765468,-0.26868757676732,-0.26124167196508097,-0.2547813552578191,-0.249107884015757,-0.2440886697525002,-0.23959592163919297,-0.23554457708064547,-0.23186454909318854,-0.22849160192436102,-0.22539755989396326,-0.22234933981735594,-0.21972419358598927},
+{-0.8354577934403551,-0.5274698518841205,-0.42350606385628,-0.37147036396356725,-0.33886929667755794,-0.3180859598908228,-0.30072994399722575,-0.28798429075186505,-0.2776400974939861,-0.26894471760874694,-0.26149649554122334,-0.25503366080067735,-0.24935802405445884,-0.24433676418470895,-0.23984197707818566,-0.2357886223578589,-0.23210666545310232,-0.2287318805713312,-0.22563607109623263,-0.22258594977006396,-0.21995879226346915},
+{-0.8354258569981994,-0.5276589499469537,-0.42375372482763396,-0.37173251209833325,-0.33913487677261855,-0.31834967595352737,-0.30099197671563616,-0.2882457146896513,-0.2779005335188458,-0.26920266772742707,-0.26175211297515943,-0.2552867507549763,-0.24960894545233714,-0.24458563015286927,-0.24008879546727258,-0.2360334219517881,-0.2323495297196132,-0.22897290030618933,-0.22587531660838067,-0.22282328478195268,-0.2201941147695834},
+{-0.8353947948369296,-0.5278490205101889,-0.42400232973113816,-0.37199557937356076,-0.3394013498108279,-0.31861426006526017,-0.30125485566475163,-0.2885079748557473,-0.278161794539983,-0.26946142953352137,-0.26200852654540085,-0.25554062737069216,-0.24986065047710326,-0.2448352699093448,-0.24033637907155025,-0.236278978063865,-0.2325931440666409,-0.22921466326511108,-0.22611529856226298,-0.22306134683412893,-0.2204301632818897},
+{-0.8353646093201519,-0.528040066254789,-0.42425188115555557,-0.3722595683951795,-0.3396687183605991,-0.31887971468177057,-0.301518583402526,-0.2887710736874851,-0.27842388290230247,-0.2697210054502648,-0.2622657384837339,-0.25579529298477155,-0.25011314137077534,-0.2450856856792143,-0.24058473006402892,-0.23652529293099178,-0.23283751069197933,-0.22945717167044677,-0.22635601908450553,-0.22330013797750325,-0.22066693978331386},
+{-0.835335302795329,-0.5282320898875241,-0.42450238170249577,-0.37252448175593145,-0.3399369849920504,-0.31914604235964816,-0.30178316242654546,-0.28903501360775863,-0.27868680096469234,-0.26998139791032827,-0.2625237510964098,-0.25605074989402965,-0.2503664204277811,-0.24533687977486807,-0.24083385069343421,-0.23677236882144825,-0.2330826318225263,-0.229700427710668,-0.22659748024102555,-0.2235396601956836,-0.22090444641912654},
+{-0.8353068776305577,-0.528425094094473,-0.4247538339656103,-0.3727903221043789,-0.34020615223641926,-0.31941324563399576,-0.30204859531318107,-0.28929979706776976,-0.27895055104283983,-0.27024260935434086,-0.2627825666523904,-0.25630700041324417,-0.25062048994118413,-0.24558885447981993,-0.24108374318666392,-0.23702020793393785,-0.23332850965448415,-0.22994443355150906,-0.22683968427827494,-0.2237799155416269,-0.22114268522159364},
+{-0.8352793361952422,-0.5286190815960481,-0.4250062405888002,-0.3730570920287164,-0.34047622269361,-0.31968132700455953,-0.30231488463471123,-0.28956542650360007,-0.27921513550597865,-0.27050464219814785,-0.2630421874849844,-0.25656404691130774,-0.2508753521071867,-0.24584161203893018,-0.2413344097276422,-0.23726881252923704,-0.23357514645090305,-0.23018919140326943,-0.2270826332382967,-0.22402090602872704,-0.22138165819114874},
+{-0.835252680872486,-0.5288140551169818,-0.42525960418493014,-0.37332479420285836,-0.34074719893374095,-0.3199502890789745,-0.3025820329351063,-0.2898319044093114,-0.2794805566785499,-0.2707674989359248,-0.26330261593659543,-0.2568218917208469,-0.2511310092979784,-0.24609515480892696,-0.241585852615799,-0.2375181849447472,-0.23382254443822603,-0.23043470347943185,-0.22732632933343666,-0.22426263375109556,-0.22162136747147088},
+{-0.8352269140258954,-0.5290100173715473,-0.4255139273898294,-0.3735934312428526,-0.34101908353022736,-0.32022013432981566,-0.30285004281245165,-0.29009923321723363,-0.27974681691353,-0.2710311820046627,-0.2635638542810739,-0.2570805372254199,-0.2513874638004836,-0.24634948501329745,-0.24183807402960156,-0.23776832732460207,-0.23407070581538392,-0.23068097193458925,-0.2275707746223361,-0.22450510068688345,-0.22186181493839285},
+{-0.8352020380670524,-0.529206971106646,-0.4257692128636563,-0.3738630058246599,-0.3412918790800177,-0.32049086539245764,-0.30311891682015357,-0.290367415423475,-0.28001391860379954,-0.2712956939092237,-0.2638259049261933,-0.2573399858288212,-0.25164471787684306,-0.24660460500945192,-0.24209107623892123,-0.23801924205895375,-0.2343196328367867,-0.23092799904634376,-0.2278159713337118,-0.22474830892610953,-0.22210300277674833},
+{-0.8351780553799699,-0.5294049190687247,-0.4260254632504257,-0.37413352060832494,-0.34156558824122385,-0.3207624848261048,-0.30338865758267275,-0.2906364535198236,-0.28028186412473133,-0.27156103713218727,-0.2640887702555119,-0.25760023995326264,-0.2519027738603654,-0.2468605171056879,-0.24234486152658974,-0.23827093140039324,-0.23456932782323747,-0.23117578705773667,-0.22806192160987848,-0.2249922605546999,-0.22234493298401503},
+{-0.8351549683691815,-0.5296038640080951,-0.4262826812204139,-0.37440497823456553,-0.3418402135445149,-0.3210349951439184,-0.30365926768445206,-0.29090634998226506,-0.2805506557771196,-0.27182721412361843,-0.2643524525644807,-0.2578613019952627,-0.2521616340397941,-0.2471172236057555,-0.2425994320378777,-0.2385233976397103,-0.23481979292455435,-0.2314243381133565,-0.22830862757086834,-0.22523695762151874,-0.2225876074990083},
+{-0.835132779429614,-0.5298038086899624,-0.4265408694486723,-0.3746773814164044,-0.3421157576406131,-0.32130839900628416,-0.30393074973517287,-0.29117710732020896,-0.2808202959945447,-0.2720942274273739,-0.26461695432999477,-0.25812317438203536,-0.2524213007691287,-0.24737472684660133,-0.24285479014542943,-0.23877664306996849,-0.23507103044062205,-0.23167365446943222,-0.2285560914119742,-0.2254824022052162,-0.22283102841583968},
+{-0.835111490992233,-0.5300047558941969,-0.42680003062173455,-0.37495073283548663,-0.3423922231702363,-0.32158269895933245,-0.3042031063610011,-0.29144872805443356,-0.28109078711258917,-0.27236207953581015,-0.26488227794357044,-0.25838585964925187,-0.25268177635712163,-0.24763302914425367,-0.2431109380190719,-0.23903067004061995,-0.2353230426308528,-0.23192373841152403,-0.22880431530961687,-0.22572859641127252,-0.2230751977717773},
+{-0.8350911054635617,-0.5302067083907787,-0.4270601674347745,-0.3752250351950579,-0.342669612754662,-0.3218578976460549,-0.30447634022209513,-0.29172121474312007,-0.28136213158836654,-0.272630773030869,-0.265148425890402,-0.25864936024640883,-0.25294306320301985,-0.24789213292137902,-0.24336787804804771,-0.23928548094067992,-0.23557583185106523,-0.2321745922104128,-0.22905330152502756,-0.22597554236062933,-0.22332011766411597},
+{-0.8350716252793404,-0.530409668979587,-0.4273212825854671,-0.3755002911933616,-0.3429479290183508,-0.32213399764668793,-0.3047504538709518,-0.2919945698599804,-0.28163433170800545,-0.27290031033567175,-0.2654154005124383,-0.25891367861277104,-0.2532051635660082,-0.2481520404071489,-0.24362561237262526,-0.23954107791882961,-0.2358294002247021,-0.2324262179622565,-0.2293030520636421,-0.22622324207350175,-0.22356578995595555},
+{-0.8350530528728086,-0.5306136404666404,-0.4275833787874035,-0.37577650353864556,-0.34322717462794117,-0.32241100155454205,-0.305025450010703,-0.29226879597547395,-0.2819073899185014,-0.2731706940562617,-0.26568320433398185,-0.2591788172960605,-0.25346807979485675,-0.24841275399990081,-0.2438841433199741,-0.2397974634275215,-0.23608375013577643,-0.23267861803537926,-0.2295535692444446,-0.22647169769925313,-0.22381221677892427},
+{-0.835035390676353,-0.5308186256446561,-0.42784645877884486,-0.3760536749566654,-0.34350735222426465,-0.32268891204967076,-0.3053013312744497,-0.292543895653921,-0.2821813085906797,-0.2734419267176236,-0.26595183981612536,-0.2594447788171692,-0.25373181430518343,-0.24867427609842707,-0.24414347321862806,-0.24005463981279718,-0.23633888383710655,-0.23293179462166336,-0.22980485521452465,-0.2267209113899753,-0.22405940019098125},
+{-0.8350186411414029,-0.5310246273380699,-0.428110525275315,-0.3763318082026217,-0.3437884644897622,-0.322967731677295,-0.3055781003174616,-0.2928198714704422,-0.2824560901258337,-0.2737140108638414,-0.26622130945133904,-0.2597115657365521,-0.2539963694321159,-0.24893660903990167,-0.24440360430116925,-0.24031260935726095,-0.23659480363585317,-0.2331857500184924,-0.23005691219509572,-0.22697088521476871,-0.22430734218005455},
+{-0.8350028067135895,-0.5312316483713175,-0.4283755810237153,-0.37661090598874125,-0.3440705140861837,-0.3232474631738569,-0.3058557598091056,-0.2930967260036823,-0.28273173696163667,-0.2739869490869751,-0.2664916157496009,-0.25997918058965297,-0.25426174757262743,-0.24919975521447668,-0.24466453893478501,-0.24057137448949106,-0.2368515118396317,-0.23344048651529192,-0.2303097423894087,-0.2272216213716547,-0.22455604487458913},
+{-0.8349878898486622,-0.5314396915880479,-0.4286416287650354,-0.37689097109682734,-0.34435350370404194,-0.3235281091538127,-0.30613431239669353,-0.29337446181921223,-0.28300825148949116,-0.2742607439288349,-0.26676276127523124,-0.26024762595693574,-0.25452795107594284,-0.2494637170052556,-0.24492627940389866,-0.24083093752733475,-0.23710901076083246,-0.2336960063337301,-0.23056334805164624,-0.227473121984076,-0.22480551032208496},
+{-0.8349738930282911,-0.5316487598174717,-0.42890867128392074,-0.37717200625911573,-0.34463743602509567,-0.32380967221899937,-0.3064137608105284,-0.29365308155752246,-0.28328563612046764,-0.27453539795919824,-0.26703474849955455,-0.26051690446251996,-0.2547949823529052,-0.24972849680830222,-0.24518882804454734,-0.2410913008859552,-0.23736730274617912,-0.23395231178642462,-0.2308177313655051,-0.22772538922117747,-0.22505574054571298},
+{-0.8349608187068611,-0.5318588559412092,-0.4291767113429614,-0.3774540142673004,-0.34492231373246796,-0.3240921551230258,-0.3066941077094043,-0.29393258782215526,-0.2835638933008795,-0.27481091380604994,-0.26730758002031507,-0.26078701864730647,-0.2550628438095828,-0.24999409703832498,-0.24545218720777484,-0.24135246690298118,-0.23762639011783904,-0.23420940510891342,-0.23107289464746827,-0.22797842527756984,-0.22530673764049425},
+{-0.8349486693627455,-0.5320699827852877,-0.42944575171316046,-0.3777369978857905,-0.345208139549527,-0.32437556043873883,-0.3069753557746253,-0.2942129832407545,-0.2838430254016657,-0.27508729400778975,-0.2675812583665902,-0.26105797114655616,-0.2553315378543175,-0.25026052007251565,-0.24571635918846368,-0.2416144379653815,-0.23788627510816696,-0.23446728860039912,-0.23132884003098297,-0.22823223224054345,-0.2255585036211869},
+{-0.8349374474867659,-0.5322821432308729,-0.4297157951754116,-0.37802095990434736,-0.3454949161616696,-0.3246598909099703,-0.3072575077045485,-0.2944942704116329,-0.28412303491722923,-0.27536454117580433,-0.26785578613339567,-0.2613297645896182,-0.2556010668604358,-0.2505277683176246,-0.245981346303779,-0.24187721646626414,-0.2381469601518802,-0.2347259645498525,-0.23158556981798029,-0.22848681235655022,-0.22581104062373925},
+{-0.8349271555690052,-0.5324953401851644,-0.42998684455801595,-0.37830590313433277,-0.3457826463238689,-0.3249451492207527,-0.30754056622913595,-0.29477645207180103,-0.28440392427523875,-0.275642657915796,-0.2681311659473522,-0.26160240162607806,-0.2558714333010812,-0.2507958442370182,-0.24624715102527261,-0.2421408048169269,-0.23840844760616164,-0.23498543526784488,-0.2318430862715104,-0.22874216785999124,-0.22606435070770203},
+{-0.8349177961024452,-0.5327095765079548,-0.4302589026494843,-0.37859183035652677,-0.34607133273993895,-0.3252313380180567,-0.307824534056067,-0.2950595308032007,-0.2846856959179149,-0.2759216468393788,-0.26840740033776456,-0.261875884893243,-0.2561426395679973,-0.25106475021084407,-0.24651377559439425,-0.24240520538228338,-0.23867073979386078,-0.23524570301174208,-0.23210139169123067,-0.22899830093183482,-0.22631843589238088},
+{-0.8349093715938807,-0.5329248551112187,-0.43053197227936835,-0.37887874440673386,-0.34636097815223366,-0.3255184600609482,-0.30810941388858737,-0.29534350931203335,-0.28496835231294426,-0.27620151054543385,-0.2686844919805935,-0.26215021705570507,-0.2564146881243232,-0.2513344886951927,-0.24678122247314604,-0.24267042063297595,-0.23893383906784038,-0.23550677008392995,-0.23236048832654888,-0.22925521380670943,-0.2265732983205453},
+{-0.8349018845558476,-0.5331411788954483,-0.43080605626562374,-0.3791666480982485,-0.3466515853039027,-0.32580651799094085,-0.3083952084800785,-0.2956283902956329,-0.2852518959018653,-0.27648225165171425,-0.2689624434358393,-0.2624254008005664,-0.2566875813834031,-0.25160506211295797,-0.24704949398710596,-0.24293645288184962,-0.23919774780574699,-0.23576863880452947,-0.23262037844597216,-0.22951290875721497,-0.22682893994601727},
+{-0.8348953374916732,-0.533358550779667,-0.43108115746315434,-0.37945554427687966,-0.3469431569531025,-0.3260955145707385,-0.3086819205111624,-0.29591417641495354,-0.2855363291901085,-0.27676387280439485,-0.26924125736445603,-0.26270143878468843,-0.25696132184475573,-0.251876472905451,-0.24731859254416122,-0.24320330467821805,-0.23946246838340812,-0.23603131146569467,-0.23288106434961264,-0.22977138800933972,-0.22708536300410742},
+{-0.8348897329457827,-0.5335769736798284,-0.43135727869639595,-0.37974543578116027,-0.3472356958544651,-0.3263854525291663,-0.30896955276261906,-0.29620087041121224,-0.2858216546364929,-0.2770463766114517,-0.2695209364137554,-0.26297833372927926,-0.25723591194332585,-0.2521487235442237,-0.24758852058471348,-0.24347097833924636,-0.23972800318802,-0.2362947903661734,-0.23314254838396664,-0.2300306538274981,-0.22734256945818743},
+{-0.8348850734304847,-0.533796450548607,-0.4316344228423077,-0.38003632545337496,-0.34752920478661053,-0.32667633456446765,-0.3092581079788488,-0.2964884750017518,-0.2861078747366719,-0.2773297657047351,-0.26980148319626096,-0.26325608829142766,-0.25751135410700954,-0.25242181642988726,-0.2478592804316122,-0.24373947632057025,-0.23999435461450958,-0.2365590778256319,-0.23340483279366708,-0.23029070852976474,-0.22760056136348794},
+{-0.8348813614969686,-0.5340169843217382,-0.43191259276159144,-0.3803282161629795,-0.3478236864992823,-0.3269681634498056,-0.30954758888856304,-0.2967769929211954,-0.286394992013129,-0.27761404272837353,-0.27008290039429994,-0.2635347052171255,-0.25778765087579814,-0.25269575407901357,-0.24813087457050642,-0.2440088011210264,-0.24026152504234233,-0.23682417620807428,-0.23366791998955705,-0.2305515544321679,-0.2278593408902907},
+{-0.8348785996740844,-0.5342385779314327,-0.43219179133200214,-0.3806211107820445,-0.34811914380873077,-0.3272609418589809,-0.30983799825730785,-0.2970664269041663,-0.28668300892877596,-0.27789921030830556,-0.2703651906226696,-0.263814187208709,-0.25806480471737814,-0.25297053888903065,-0.2484033054131487,-0.24427895509529662,-0.24052951681960621,-0.2370900877515396,-0.23393181217602432,-0.2308131938114002,-0.22811890999855677},
+{-0.8348767905205818,-0.5344612343608333,-0.43247202143697905,-0.38091501219230395,-0.34841557949005164,-0.3275546726418952,-0.3101293388397153,-0.29735677968415075,-0.28697192805111627,-0.278185271096163,-0.270648356543461,-0.2640945369760175,-0.2583428181283125,-0.25324617336445954,-0.2486765753542386,-0.2445499407592706,-0.24079833244582005,-0.23735681486027715,-0.2341965117775544,-0.2310756290196423,-0.2283792708715282},
+{-0.8348759365970864,-0.534684956588876,-0.432753285987701,-0.3812099233050503,-0.3487129963887128,-0.3278493585405613,-0.3104216134130411,-0.29764805406625783,-0.2872617519212781,-0.27847222777495517,-0.27093240086514925,-0.26437575728459706,-0.2586216935897028,-0.25352265998299117,-0.2489506869435445,-0.24482176053174953,-0.2410679743293258,-0.2376243598412202,-0.23446202112927494,-0.23133886243090274,-0.2286404255880825},
+{-0.8348760404597897,-0.5349097475669851,-0.4330355878736327,-0.3815058469537007,-0.34901139723694996,-0.3281450022420813,-0.3107148247282794,-0.29794025278988556,-0.2875524830155882,-0.27876008292901133,-0.2712173261395492,-0.2646578508342827,-0.2589014336126638,-0.2538000011741133,-0.24922564249959578,-0.2450944168638216,-0.24133844480616062,-0.23789272497083402,-0.23472834253357178,-0.23160289634188302,-0.2289023760940836},
+{-0.8348771046761385,-0.5351356102927411,-0.43331893000720356,-0.3818027861000246,-0.34931078491467815,-0.32844160659260524,-0.3110089755716672,-0.29823337865286703,-0.28784412395043546,-0.2790488392483894,-0.2715031351272046,-0.264940820327638,-0.25918204074355344,-0.25407819947986354,-0.24950144463173274,-0.2453679122493213,-0.2416097463940332,-0.23816191269133924,-0.2349954784269812,-0.23186773322026966,-0.2291651246443962},
+{-0.8348791318354642,-0.5353625477677042,-0.43360331534063334,-0.3821007436531545,-0.3496111622450826,-0.3287391743451735,-0.3113040687389912,-0.29852743447008834,-0.28813667724421066,-0.2793384993890413,-0.2717898304172195,-0.26522466860456007,-0.2594635174546056,-0.2543572573281381,-0.24977809570486897,-0.24564224913774524,-0.24188188141829414,-0.23843192529261614,-0.23526343107823777,-0.23213337537617917,-0.229428673247412},
+{-0.8348821245103863,-0.5355905629979816,-0.4338887467928316,-0.38239972253791166,-0.34991253203384076,-0.3290377083275189,-0.3116001070114862,-0.29882242303779094,-0.28843014552580826,-0.2796290660169234,-0.27207741471170266,-0.2655093983385086,-0.25974586633674335,-0.25463717726302093,-0.25005559828377955,-0.2459174300356608,-0.2421548524255286,-0.23870276517504863,-0.23553220292228616,-0.2323998252452384,-0.2296930240220263},
+{-0.834886085300127,-0.5358196589944555,-0.4341752273059001,-0.38269972569753463,-0.35021489715802545,-0.3293372113298574,-0.31189709317823144,-0.2991183471503973,-0.2887245313404492,-0.27992054177661885,-0.2723658906447781,-0.26579501231663016,-0.2600290899194988,-0.25491796174401316,-0.2503339548452459,-0.24619345737482945,-0.24242866177610267,-0.2389744346585303,-0.23580179634927845,-0.23266708521418877,-0.2299581790873617},
+{-0.8348910167969734,-0.5360498387824464,-0.43446275983671967,-0.38300075604593076,-0.3505182604496895,-0.32963768611512023,-0.3121950300305798,-0.29941520966599455,-0.28901983731975633,-0.28021292933749464,-0.2726552608642123,-0.2660815132537664,-0.26031319071375947,-0.2551996132833665,-0.2506131678624115,-0.24647033366818505,-0.2427033119877251,-0.23924693615140313,-0.2360722137036646,-0.2329351577466241,-0.23022414053707507},
+{-0.83489692160299,-0.5362811053963696,-0.43475134737343524,-0.3833028165738597,-0.3508226247845414,-0.32993913555856125,-0.31249392040035673,-0.29971301340060563,-0.289316066076708,-0.2805062313830149,-0.27294552804528394,-0.2663689039447945,-0.2605981713386427,-0.2554821344231186,-0.25089323995257473,-0.24674806145389994,-0.24297880548192552,-0.23952027203222315,-0.23634345741925245,-0.2332040452918136,-0.23049091049369963},
+{-0.8349038023371804,-0.5365134618602951,-0.4350409928558747,-0.3836059102386571,-0.35112799303669817,-0.3302415624003743,-0.3127937670656138,-0.3000117612043596,-0.2896132201872206,-0.2808004505423014,-0.2732366947684568,-0.2666571871411634,-0.2608840342932126,-0.25576552764755434,-0.25117417351907534,-0.24702664312076195,-0.24325514465613196,-0.23979444461338062,-0.23661552980956913,-0.23347375024263783,-0.23075849105930502},
+{-0.8349116616155925,-0.5367469112507024,-0.43533169930162785,-0.38391004001016427,-0.35143436806629325,-0.3305449695403695,-0.31309457285715325,-0.30031145595376074,-0.28991130237773177,-0.28109558953565283,-0.2735287637442525,-0.2669463655774962,-0.26117078220158874,-0.25604979550894313,-0.25145597123423613,-0.24730608130175824,-0.24353233209421887,-0.24006945636847377,-0.2368884334066479,-0.23374427510157147,-0.23102688446010688},
+{-0.8349205020572299,-0.5369814566050763,-0.43562346969019927,-0.38421520887720817,-0.3517417527887119,-0.33084935981275976,-0.3133963405839495,-0.3006121004734723,-0.2902103152352993,-0.28139165102015795,-0.27382173760247497,-0.2672364420454869,-0.261458417636959,-0.25633494053181494,-0.2517386355477811,-0.24758637838294817,-0.24381037017428753,-0.24034530972494395,-0.2371621705083271,-0.23401562233925688,-0.2312960927254153},
+{-0.8349303263061074,-0.5372171010103557,-0.43591630703542705,-0.3845214198179292,-0.352050150075911,-0.33115473602583734,-0.31369907310636336,-0.30091369768933873,-0.29051026145612013,-0.2816886376342609,-0.2741156189824778,-0.26752741930931734,-0.26174694315409397,-0.2566209652800353,-0.25202216908837727,-0.24786753701096131,-0.24408926140927178,-0.24062200697449043,-0.23743674359343458,-0.23428779443361236,-0.23156611802801308},
+{-0.8349411369994186,-0.5374538475405188,-0.4362102143404627,-0.38482867585616987,-0.35235956286283,-0.3314611010680437,-0.3140027732404178,-0.3012162504585376,-0.2908111437252501,-0.2819865521048541,-0.2744104104958751,-0.2678193000790543,-0.26203636140758135,-0.25690787228154477,-0.25230657444899407,-0.24814955964188812,-0.2443690083139245,-0.2408995506359588,-0.23771215506371846,-0.2345607939571437,-0.2318369625397736},
+{-0.8349529367693549,-0.5376916992646557,-0.43650519465484194,-0.3851369799861004,-0.3526699940356366,-0.3317684577310729,-0.3143074438014537,-0.30151976166598615,-0.29111296470364323,-0.28228539708970857,-0.2747061147952081,-0.2681120871948224,-0.26232667497447437,-0.2571956640344979,-0.25259185410209284,-0.24843244882322324,-0.24464961318903988,-0.24117794307449003,-0.23798840731069504,-0.23483462324657012,-0.23210862831206214},
+{-0.8349657282799399,-0.5379306592825515,-0.43680125097785094,-0.3854463352173525,-0.3529814465182426,-0.3320768089432704,-0.3146130876427833,-0.3018242342088797,-0.29141572713297137,-0.2825851752363633,-0.2750027345196031,-0.2684057833687348,-0.2626178864443318,-0.257484343144597,-0.2528780107120383,-0.24871620706289832,-0.24493107872194742,-0.24145718677914374,-0.23826550277181013,-0.23510928491623417,-0.23238111762589142},
+{-0.8349795141932645,-0.5381707307196848,-0.43709838639438203,-0.3857567446386838,-0.35329392327980713,-0.3323861575988758,-0.31491970763818244,-0.30212967105285315,-0.2917194337039746,-0.28288588927102865,-0.2753002723081863,-0.26870039140908375,-0.26290999850630214,-0.2577739121829836,-0.25316504692546005,-0.24900083695320063,-0.24521340735554986,-0.24173728416667473,-0.23854344396545457,-0.23538478157115605,-0.23265443263085217},
+{-0.8349942971807423,-0.5384119166659502,-0.43739660393760005,-0.38606821122209567,-0.3536074272344649,-0.3326965065296008,-0.3152273066264115,-0.30243607507441084,-0.2920240871776514,-0.28318754185397665,-0.27559873077552766,-0.2689959140141127,-0.26320301376972566,-0.2580643736748698,-0.25345296528189465,-0.2492863410307109,-0.24549660152456454,-0.24201823767930364,-0.23882223323516882,-0.23566111561945036,-0.23292857533169808},
+{-0.8350100799005986,-0.5386542202548981,-0.4376959066755717,-0.38638073803656425,-0.353921961316928,-0.33300785864798854,-0.3155358874710146,-0.3027434492064458,-0.2923296902763468,-0.28349013568572445,-0.2758981125905393,-0.26929235399120444,-0.2634969348132472,-0.25835573020754055,-0.2537417684052343,-0.2495727218636148,-0.24578066376989227,-0.24230004976857344,-0.23910187307069464,-0.23593828971820585,-0.23320354805696297},
+{-0.8350268650498265,-0.5388976446147353,-0.4379962976937577,-0.38669432816584504,-0.35423752853023416,-0.3333202168225853,-0.3158454530475865,-0.3030517964214141,-0.2926362457603773,-0.28379367343177364,-0.27619842034027897,-0.269589714094991,-0.2637917643351102,-0.2586479843498637,-0.25403145893437795,-0.2498599819809897,-0.24606559656535865,-0.24258272297447547,-0.23938236591675377,-0.2362163063846765,-0.23347935286983557},
+{-0.8350446553153006,-0.5391421928843556,-0.438297780078301,-0.38700898465845057,-0.35455413181762196,-0.3336335840051561,-0.3161560061923865,-0.3033611196296988,-0.292943756407567,-0.2840981577783168,-0.2764996567286744,-0.2698879970996586,-0.2640875050149134,-0.25894113866775115,-0.25432203951459087,-0.25014812406175224,-0.24635140245140974,-0.24286625974650633,-0.23966371419396637,-0.23649516823547856,-0.23375599202995545},
+{-0.8350634533878747,-0.5393878682085642,-0.4386003569118202,-0.3873247106123472,-0.3548717741545033,-0.33394796310631136,-0.31646754984467407,-0.3036714218160341,-0.29325222500415293,-0.2844035914527012,-0.2768018243532424,-0.2701872057859873,-0.2643841594881451,-0.25923519579373533,-0.25461351282297073,-0.25043715059518945,-0.2466380838909572,-0.2431506625766815,-0.23994592048848062,-0.23677487785312223,-0.23403346772352052},
+{-0.8350832619696575,-0.5396346737611566,-0.4389040313253645,-0.38764150908298234,-0.3551904585402781,-0.3342633570146063,-0.31678008687890724,-0.3039827059524214,-0.2935616543159085,-0.2847099770856403,-0.27710492587175395,-0.27048734284676357,-0.26468173038574605,-0.25953015826371484,-0.2549058813958709,-0.2507270641615378,-0.24692564347265034,-0.2434359338858485,-0.24022898710632035,-0.23705543782534733,-0.2343117819816598},
+{-0.8351040837796972,-0.5398826126934182,-0.43920880642588145,-0.3879593831921966,-0.35551018795035816,-0.33457976869908634,-0.31709362015635634,-0.30429497499562785,-0.2938720471900069,-0.28501731741812364,-0.2774089639533486,-0.2707884111275689,-0.2649802204982734,-0.2598260286945333,-0.2551991480859215,-0.25101786747200094,-0.24721408367508957,-0.24372207630472076,-0.24051291665568897,-0.23733685082629563,-0.23459093720975943},
+{-0.8351259215240816,-0.5401316881817593,-0.4395146853252072,-0.38827833602942974,-0.35583096541995474,-0.3348972010403486,-0.31740815262082833,-0.30460823194971454,-0.2941834063692568,-0.28532561509814514,-0.2777139412071392,-0.2710904133564327,-0.2652796323839084,-0.26012280963914236,-0.2554933153799084,-0.25130956299494756,-0.24750340695504747,-0.24400909221026268,-0.2407977115126414,-0.2376191194000512,-0.23487093535868553},
+{-0.8351487779415265,-0.5403819034127082,-0.4398216711852001,-0.3885983707247078,-0.35615279392106913,-0.33521565706382717,-0.31772368713541255,-0.3049224797850911,-0.2944957347738182,-0.2856348728885223,-0.278019860331824,-0.27139335229276185,-0.2655799688782281,-0.2604205037862357,-0.2557883860201855,-0.25160215350365434,-0.2477936159730234,-0.24429698430026292,-0.2410833742790146,-0.23790224630715784,-0.23515177882859462},
+{-0.8351726557591519,-0.5406332615941665,-0.44012976714975593,-0.38891949041999396,-0.3564756765607626,-0.33553513970196036,-0.3180402266684723,-0.3052377215606157,-0.29480903519288404,-0.28594509345361985,-0.2783267240172336,-0.2716972307268861,-0.26588123255146456,-0.2607191137258269,-0.2560843627311442,-0.25189564152924504,-0.24808471315009228,-0.24458575501080304,-0.24136990738929853,-0.23818623415786533,-0.23543346976885005},
+{-0.8351975577130588,-0.5408857659058413,-0.4404389763635663,-0.389241698199271,-0.3567996162612417,-0.3358556518521709,-0.31835777408241483,-0.3055539602069075,-0.29512331046271356,-0.28625627941778475,-0.27863453483314515,-0.27200205138683486,-0.2661834261507465,-0.26101864202541947,-0.25638124806982887,-0.2521900295851083,-0.24837670103283926,-0.24487540679501762,-0.24165731331731877,-0.23847108554377883,-0.2357160102646958},
+{-0.8352234865435548,-0.5411394195717776,-0.44074930201134066,-0.38956499722849003,-0.35712461611592516,-0.33617719655990186,-0.3186763323449213,-0.30587119881829494,-0.29543856346981556,-0.28656843359135564,-0.2789432955796656,-0.2723078170297413,-0.2664865524718607,-0.26131909139007803,-0.25667904490592264,-0.2524853205677573,-0.24866958222901303,-0.24516594239048572,-0.24194559464899612,-0.23875680330843352,-0.23599940278199938},
+{-0.8352504450252809,-0.5413942258199995,-0.4410607472615311,-0.38988939069190565,-0.35745067919719986,-0.3364997767555451,-0.3189959043813815,-0.3061894403695078,-0.29575479704544705,-0.28688155865143017,-0.27925300884021453,-0.2726145305384762,-0.2667906141441563,-0.26162046442755127,-0.25697775581124915,-0.25278151691668427,-0.24896335920652746,-0.24545736418122033,-0.24223475386975224,-0.23904338995566832,-0.23628364940464053},
+{-0.8352784359033194,-0.5416501878688678,-0.44137331531624113,-0.3902148817152238,-0.35777780853527474,-0.3368233954624884,-0.31931649315765753,-0.30650868795964925,-0.2960720141220463,-0.28719565726146357,-0.27956367736487664,-0.2729221945842255,-0.2670956139793361,-0.26192276377946655,-0.25727738359091745,-0.2530786213974352,-0.24925803458745577,-0.245749674902072,-0.2425247935200332,-0.239330848356758,-0.23656875243432296},
+{-0.8353074619556082,-0.5419073089566382,-0.44168700936097594,-0.39054147348463175,-0.3581060072226592,-0.3371480556904771,-0.31963810160050343,-0.3068289445652681,-0.2963902175390558,-0.28751073219223144,-0.2798753038257473,-0.273230811934809,-0.2674015546836017,-0.2622259921101886,-0.25757793090951964,-0.2533766366088912,-0.24955361087040728,-0.24604287696297433,-0.24281571606525176,-0.23961918112263447,-0.23685471419184978},
+{-0.8353375259586073,-0.5421655923413482,-0.44200183262853443,-0.3908691691827926,-0.3584352782878568,-0.33747376041242205,-0.31996073268669534,-0.30715021330615855,-0.29670941023823616,-0.28782678612333257,-0.2801878908994695,-0.27354038544217474,-0.26770843900703767,-0.2625301521002257,-0.25787940050645375,-0.25367556519086065,-0.24985009066949715,-0.2463369730269278,-0.2431075241436247,-0.23990839095063166,-0.23714153688729311},
+{-0.8353686306862755,-0.5424250412794436,-0.44231778833341195,-0.3911979720026011,-0.3587656248669191,-0.3378005126417065,-0.320284389372091,-0.30747249721184744,-0.29702959509768334,-0.2881438218059884,-0.2805014413572735,-0.27385091783548887,-0.2680162697556625,-0.26283524641189615,-0.25818179514408257,-0.2539754099136644,-0.2501474765504099,-0.2466319656853102,-0.24340022029559805,-0.24019848063562677,-0.2374292229249022},
+{-0.8354007789405387,-0.5426856590142961,-0.44263487968146364,-0.3915278851349058,-0.35909705003427916,-0.3381283153660206,-0.32060907463346666,-0.30779579933596324,-0.29735077496252416,-0.2884618418961509,-0.28081595783100965,-0.274162411917132,-0.26832504960680126,-0.26314127770797313,-0.258485117435157,-0.25427617332820773,-0.2504457709817416,-0.24692785746970003,-0.24369380701318732,-0.24048945276422273,-0.2377177745706831},
+{-0.8354339735168423,-0.5429474488496453,-0.44295310996233184,-0.3918589118051159,-0.35942955691302814,-0.3384571717028848,-0.3209347914605587,-0.3081201227926158,-0.2976729528852502,-0.28878084917346314,-0.2811314431110077,-0.2744748704456015,-0.2686347814194505,-0.26344824876491657,-0.2587893702752808,-0.25457785827165935,-0.25074497671903373,-0.2472246510221794,-0.24398828689186303,-0.2407813102881846,-0.23800719422433758},
+{-0.835468217218363,-0.5432104140546699,-0.4432724823876697,-0.3921910552362533,-0.35976314861045466,-0.33878708465681484,-0.32126154286265773,-0.3084454706390716,-0.2979961317212201,-0.2891008463509479,-0.28144789992370534,-0.27478829630626933,-0.2689454679677965,-0.26375616219638687,-0.259094556388618,-0.25488046727741676,-0.25104509624475213,-0.24752234896413938,-0.2442836625689324,-0.24107405575341545,-0.23829748420462238},
+{-0.8355035128711279,-0.5434745579181026,-0.4435930002457553,-0.3925243186309899,-0.3600978282245251,-0.3391180572261874,-0.32158933180426175,-0.30877184597602536,-0.2983203144374329,-0.28942183616868533,-0.2817653309543857,-0.27510269221011185,-0.2692571119957847,-0.26406502070199167,-0.2594006784740941,-0.25518400317832857,-0.25134613219779567,-0.24782095384398417,-0.2445799365732455,-0.2413676918774854,-0.23858864691283088},
+{-0.8355398632877495,-0.5437398837615319,-0.4439146668103149,-0.3928587052516832,-0.3604335989195988,-0.33945009253898206,-0.32191816134445617,-0.3090992519228166,-0.29864550398770007,-0.28974382132741994,-0.28208373903430584,-0.2754180610140793,-0.2695697163649129,-0.26437482711435223,-0.25970773932021984,-0.25548846859078367,-0.25164808719364373,-0.24812046834563262,-0.24487711151436997,-0.24166222158487471,-0.23888068470478174},
+{-0.8355772713022134,-0.5440063948772149,-0.44423748535336927,-0.393194218336248,-0.36077046384320965,-0.33978319358084264,-0.3222480344682026,-0.30942769154830785,-0.2989717032828594,-0.2900668046370356,-0.28240312683442426,-0.27573440553646833,-0.2698832838623275,-0.26468558408237186,-0.2600157416959519,-0.2557938662548622,-0.2519509638091222,-0.24842089504772957,-0.24517519007758892,-0.24195764745877568,-0.23917360008454125},
+{-0.8356157397406605,-0.5442740945878768,-0.44456145918150014,-0.3935308611354458,-0.3611084261094675,-0.34011736346678845,-0.32257895419616034,-0.3097571679245448,-0.2992989153169674,-0.2903907887450714,-0.2827234971227881,-0.2760517285748847,-0.27019781729632086,-0.26499729436068264,-0.2603246883295469,-0.25610019889973046,-0.2522547646865405,-0.2487222365650723,-0.24547417474786926,-0.24225397225768575,-0.2394673953901929},
+{-0.8356552714612917,-0.5445429862394349,-0.44488659160504085,-0.3938686369539255,-0.36144748891774725,-0.3404526053225254,-0.3229109236262957,-0.3100876842802336,-0.299627143069074,-0.2907157765403099,-0.2830448528115994,-0.27637003296513285,-0.27051331954226043,-0.2653099607234708,-0.2606345821748164,-0.25640746919088997,-0.252559492502769,-0.2490244955840808,-0.24577406828325365,-0.24255119882468534,-0.23976207313467057},
+{-0.8356958693100296,-0.544813073156547,-0.4452128859336426,-0.3942075490232355,-0.3617876554233135,-0.3407889221741698,-0.32324394575175575,-0.3104192436589983,-0.2999563895018582,-0.29104177070212245,-0.2833671964901896,-0.2766893215998607,-0.2708297933929771,-0.2656235859649314,-0.2609454258324604,-0.25671567990707445,-0.25286514991103104,-0.24932767466975747,-0.24607487325647526,-0.24284932982982355,-0.24005763589389062},
+{-0.8357375361523509,-0.5450843586784231,-0.44554034550117194,-0.39454760065166283,-0.3621289287843865,-0.3411263171619794,-0.32357802364936106,-0.31075184917904153,-0.3002866576330234,-0.29136877393511895,-0.28369053105393505,-0.27700959717822116,-0.27114724167677196,-0.26593817273510467,-0.26125722214555935,-0.25702483375903284,-0.2531717393992494,-0.24963177644167445,-0.24637659229051678,-0.2431483680063593,-0.2403540858665565},
+{-0.8357802748486165,-0.5453568461780378,-0.44586897364342803,-0.3948887951398774,-0.36247131223740325,-0.34146479331411683,-0.3239131603806982,-0.31108550399289925,-0.30061795039159733,-0.29169678908215246,-0.2840148593181766,-0.2773308627413371,-0.27146566722149146,-0.26625372395187696,-0.26156997392490666,-0.25733493347547665,-0.2534792638059571,-0.2499368036353644,-0.24667922813455334,-0.24344831615485418,-0.240651425852775},
+{-0.8358240882804466,-0.5456305390163152,-0.4461987737221307,-0.395231135774452,-0.3628148089617298,-0.3418043538656548,-0.32424935904077756,-0.31142021121786456,-0.3009502708621312,-0.2920258189440119,-0.2843401840682418,-0.2776531210238318,-0.27178507300732235,-0.2665702423619223,-0.26188368399107276,-0.2576459818321837,-0.2537877257364016,-0.2502427589488434,-0.24698278341315927,-0.24374917704744803,-0.24094965827339365},
+{-0.835868979329689,-0.5459054405596362,-0.44652974908444776,-0.39557462589993975,-0.36315942214946517,-0.3421450018865926,-0.3245866227109673,-0.31175597400670085,-0.3012836219904784,-0.2923558662691903,-0.28466650814539207,-0.27797637490857596,-0.27210546177843753,-0.2668877307710318,-0.2621983551593985,-0.2579579815062516,-0.2540971278804136,-0.2505496448768554,-0.24728726083003494,-0.24405095330894255,-0.24124878568954955},
+{-0.8359149508858081,-0.5461815542008708,-0.4468619031071057,-0.39591926881189465,-0.36350515500976144,-0.3424867405033183,-0.3249249544878694,-0.31209279551080726,-0.3016180068357244,-0.2926869338020879,-0.284993834389752,-0.2783006272975399,-0.27242683646909427,-0.26720619199954854,-0.262513990254547,-0.258270935296423,-0.25440747295624533,-0.2508574641822179,-0.24759266312503314,-0.24435364792543623,-0.2415488107665169},
+{-0.8359620058583914,-0.5464588833377775,-0.4471952391800187,-0.39626506786044047,-0.36385201080361185,-0.34282957286541205,-0.32526435747899995,-0.31243067888408405,-0.3019534284139809,-0.2930190244330788,-0.28532216567464275,-0.2786258810670006,-0.2727491999389713,-0.2675256289273875,-0.2628305920609364,-0.25858484597233655,-0.25471876364167656,-0.25116621957317875,-0.24789899291613438,-0.24465726340190486,-0.2418497360135916},
+{-0.8360101471356529,-0.546737431354245,-0.44752976069617034,-0.3966120263957009,-0.36419999274903603,-0.34317350209107644,-0.32560483481802294,-0.31276962722586177,-0.3022898897193045,-0.2933521408563138,-0.2856515048340498,-0.2789521391082417,-0.273072555036606,-0.26784604430349646,-0.26314816342937775,-0.25889971616038565,-0.2550310025883391,-0.2514759136288376,-0.24820625301799737,-0.2449618026096232,-0.2421515640596681},
+{-0.8360593776494625,-0.5470172016747483,-0.44786547105115915,-0.39696014775643107,-0.36454910409474905,-0.3435185314526734,-0.3259463896276884,-0.3131096437264205,-0.30262739388831505,-0.2936862859783105,-0.285981854783131,-0.27927940433733056,-0.2733969047633309,-0.2681674411444419,-0.26346670724251453,-0.2592155488835033,-0.255344192665234,-0.25178654918863685,-0.248514446176614,-0.2452672683923538,-0.24245429765664994},
+{-0.8361097003144096,-0.5472981977222844,-0.4482023736723022,-0.39730943533254504,-0.3648993481474463,-0.34386466403657323,-0.32628902508577085,-0.3134507315239716,-0.30296594390370046,-0.29402146257734785,-0.2863132184529604,-0.2796076796644229,-0.27372225189196797,-0.2684898221502863,-0.263786226291586,-0.25953234663802505,-0.2556583364544167,-0.25209812880211757,-0.24882357501815022,-0.24557366337444364,-0.24275793936544687},
+{-0.8361611180698674,-0.5475804229183723,-0.44854047197782165,-0.39765989244904176,-0.36525072805602576,-0.34421190302509785,-0.32663274428432487,-0.31379289378810427,-0.3033055428229545,-0.294357673425111,-0.2866455986672918,-0.27993696793691925,-0.2740485992944741,-0.2688131902591522,-0.2641067234173988,-0.2598501122383823,-0.25597343671370254,-0.25241065516820527,-0.249133642317247,-0.2458809902698249,-0.24306249181722706},
+{-0.8362136338382697,-0.547863880693626,-0.44887976940424323,-0.39801152252289285,-0.3656032471801609,-0.34456025160648096,-0.3269775504215886,-0.3141361336824957,-0.3036461937419972,-0.29469492147359233,-0.28697899849476016,-0.2802672721882118,-0.2743759500510805,-0.2691375484389482,-0.2644282016251509,-0.26016884862610823,-0.25628949629117415,-0.25272413111656533,-0.24944465096200474,-0.24618925202526043,-0.24336795795102262},
+{-0.8362672505836599,-0.5481485745110604,-0.44922026941696913,-0.39836432895140206,-0.3659569088179069,-0.34490971299646844,-0.3273234466814756,-0.3144804543471764,-0.30398789968262463,-0.29503320943263134,-0.2873134207734438,-0.2805985953223171,-0.2747043069175561,-0.2694628995086532,-0.26475066356374555,-0.26048855838848795,-0.2566065178411918,-0.2530385592701805,-0.24975660366021657,-0.24649845125054526,-0.2436743402349748},
+{-0.8363219712547334,-0.5484345078327806,-0.44956197545968735,-0.39871831511732125,-0.3663117162252547,-0.34526029040944195,-0.32767043629223735,-0.314825858964241,-0.30433066381988283,-0.29537254025171933,-0.28764886854287397,-0.28093094020687204,-0.27503367285066815,-0.26978924643253777,-0.2650741122524778,-0.26080924438338116,-0.2569245041495378,-0.2533539424503033,-0.25006950302986297,-0.2468085907103159,-0.2439816415505902},
+{-0.8363777988121228,-0.5487216840979272,-0.4499048910147394,-0.3990734844535382,-0.3666676727136746,-0.3456119870791099,-0.3280185223875378,-0.3151723506844064,-0.3046744892085371,-0.29571291673323685,-0.2879853448046106,-0.2812643099523484,-0.2753640508014996,-0.27011659207687444,-0.26539855059331785,-0.2611309093936143,-0.25724345801745585,-0.2536702833012896,-0.2503833520763692,-0.24711967322332384,-0.24428986465591152},
+{-0.8364347362306717,-0.5490101068000968,-0.45024901956514896,-0.3994298403611083,-0.3670247816025949,-0.3459648062182623,-0.3283677082060876,-0.31551993272819345,-0.30501937892154274,-0.29605434175050505,-0.28832285253724876,-0.281598707328385,-0.2756954436799788,-0.270444939487561,-0.26572398139592224,-0.26145355617677524,-0.25756338221776787,-0.25398758450137393,-0.25069815341225876,-0.24743170144415672,-0.24459901222076041},
+{-0.8364927864924994,-0.5492997794308394,-0.4505943645975776,-0.39978738628315114,-0.3673830462068963,-0.3463187510435546,-0.32871799699159965,-0.3158686082094846,-0.30536533611189043,-0.296396818184121,-0.2886613948237482,-0.2819341354795597,-0.2760278544665198,-0.2707742915918061,-0.26605040765502963,-0.2617771875954986,-0.2578842795649052,-0.25430584898822417,-0.25101390997269846,-0.2477446783407231,-0.24490908724396832},
+{-0.8365519525696072,-0.549590705451692,-0.4509409295982323,-0.40014612566506,-0.3677424698869345,-0.346673824767322,-0.32906939198323926,-0.3162183803276548,-0.3057123638830035,-0.296740348951289,-0.28900097465975705,-0.2822705973344455,-0.27636128603558063,-0.2711046513295514,-0.2663778321987138,-0.26210180636599034,-0.25820615284237647,-0.25462507949191604,-0.25133062450458965,-0.24805860649553324,-0.2452200924774388},
+{-0.8366122374762881,-0.5498828883910392,-0.45128871812721627,-0.40050606194131433,-0.36810305597600745,-0.34703003073582295,-0.3294218963944786,-0.3165692522770769,-0.30606046536649956,-0.29708493689986426,-0.2893415951843963,-0.28260809581593094,-0.2766957413602995,-0.2714360216600653,-0.2667062579548656,-0.2624274153388342,-0.2585290047857143,-0.2549452786975053,-0.2516482997161802,-0.2483734886268394,-0.24553203066852802},
+{-0.8366736442085312,-0.5501763317651012,-0.45163773367755766,-0.40086719859868936,-0.36846480783310653,-0.3473873721864038,-0.3297755135513398,-0.316921227198236,-0.306409643670122,-0.2974305849602388,-0.28968325941082185,-0.2829466340001545,-0.2770312233833465,-0.2717684055628524,-0.26703568787525,-0.2627540171963574,-0.25885283823322425,-0.2552664493634893,-0.25196693851239615,-0.24868932754179696,-0.24584490471397658},
+{-0.8367361757765366,-0.5504710390655418,-0.4519879798021975,-0.40122953907120973,-0.3688277287828896,-0.34774585235913946,-0.3301302466834386,-0.3172743083241585,-0.3067599020207581,-0.2977772959891354,-0.290025970573879,-0.28328621482705785,-0.2773677350965045,-0.2721018060822189,-0.26736612494710243,-0.2630816149328439,-0.2591776560952894,-0.2555885944198053,-0.2522865437265409,-0.24900612598548832,-0.24615871760170194},
+{-0.8367998352150607,-0.5507670138583762,-0.45233946005862435,-0.40159308687179873,-0.3691918222741606,-0.3481054745820984,-0.33048609913498694,-0.31762849882534283,-0.30711124355798347,-0.29812507295901014,-0.29036973171696445,-0.28362684141438876,-0.2777052794892825,-0.27243622628589037,-0.2676975720050905,-0.2634102112774599,-0.2595034610972107,-0.2559117165005773,-0.25260711806140534,-0.24932388670526962,-0.2464734720629167},
+{-0.836864625528051,-0.55106425964766,-0.45269217798590944,-0.4019578454774546,-0.3695570916274846,-0.3484662420855784,-0.33084307414242176,-0.31798380186751274,-0.3074636713486143,-0.2984739187647847,-0.2907145460767424,-0.28396851674301615,-0.27804385946865295,-0.27277166902217687,-0.26803003210238785,-0.2637398090653278,-0.2598302561007131,-0.25623581865374945,-0.2529286643652995,-0.2496426124455411,-0.24678917110009024},
+{-0.8369305497608366,-0.5513627799908818,-0.45304613715916275,-0.4023238183710873,-0.3699235402839349,-0.34882815822243174,-0.33120117506109636,-0.3183402206673236,-0.30781718868797725,-0.2988238363718665,-0.2910604168116606,-0.28431124378994355,-0.2783834781080259,-0.27310813746976237,-0.26836350807388953,-0.2640704111333889,-0.260158044025502,-0.25656090354686967,-0.2532511855438315,-0.24996230597707836,-0.24710581767271833},
+{-0.8369976109763684,-0.5516625784588314,-0.453401341181916,-0.4026910091188256,-0.37029117162524017,-0.34919122634232735,-0.33156040526046127,-0.31869775843824755,-0.308171798677904,-0.29917482872224355,-0.2914073471397387,-0.2846550256829232,-0.2787241383612127,-0.27344563460201243,-0.2686980030439372,-0.26440202029425564,-0.2604868275618628,-0.2568869740430273,-0.25357468436300223,-0.25028296997879806,-0.247423414758714},
+{-0.8370658122103123,-0.5519636585981971,-0.45375779363098445,-0.4030594211610605,-0.3706599890654161,-0.349555449707168,-0.3319207679851388,-0.31905641835419374,-0.30852750455846945,-0.29952689876563454,-0.2917553402262456,-0.2849998654346564,-0.2790658432074906,-0.27378416342571654,-0.2690335198469711,-0.2647346393623593,-0.2608166096415516,-0.25721403295847267,-0.2538991636422452,-0.25060460723420874,-0.24774196522480452},
+{-0.8371351565253917,-0.5522660239901143,-0.4541154981153568,-0.403429058076199,-0.3710299960282555,-0.34992083166434895,-0.3322822666691536,-0.3194162036461421,-0.30888430950653856,-0.2998800494401621,-0.2921043994167576,-0.2853457660608001,-0.2794085956429626,-0.2741237270354304,-0.26937006149455556,-0.2650682712478556,-0.26114739312288293,-0.257542083223143,-0.2542246261912169,-0.250927220425865,-0.24806147210438212},
+{-0.8372056470001326,-0.552569678230725,-0.45447445825027444,-0.4037999233946721,-0.3714011959839354,-0.35028737551806444,-0.33264490466240204,-0.31977711752711,-0.3092422167173936,-0.30023428372760463,-0.2924545279586255,-0.28569273076891477,-0.27975239870715995,-0.27446432855208514,-0.26970763103076933,-0.2654029187683591,-0.26147918084643607,-0.25787112771490683,-0.2545510749234836,-0.2512508124091255,-0.24838193859000057},
+{-0.8372772867076037,-0.5528746248957077,-0.45483467767178354,-0.4041720206737409,-0.3717735923669352,-0.35065508472143847,-0.333008685353434,-0.3201391631976094,-0.3096012294333832,-0.3005896046431644,-0.29280572909192415,-0.28604076254805477,-0.2800972554150576,-0.2748059709815607,-0.2700462313971457,-0.2657385848508511,-0.2618119756862143,-0.258201169301401,-0.2548785125657105,-0.2515753858615426,-0.24870336752633193},
+{-0.8373500787361081,-0.5531808675962111,-0.45519616001740815,-0.4045453534711214,-0.37214718863924645,-0.35102396260413116,-0.3333736121401216,-0.32050234392932,-0.30996135089003474,-0.3009460152163683,-0.29315800622475763,-0.28638986450869197,-0.28044316874093056,-0.2751486573799866,-0.2703858656236662,-0.26607527230089545,-0.2621457804966667,-0.25853221093325374,-0.25520694205488326,-0.2519009435652606,-0.24902576209910876},
+{-0.8374240261834984,-0.5534884099417923,-0.4555589089359273,-0.4049199253286133,-0.3725219882105648,-0.3513940124914825,-0.3337396884003283,-0.32086666290820176,-0.3103225842764914,-0.3013035183669217,-0.29351136257059807,-0.28674003972514583,-0.2807901418241272,-0.2754923909469653,-0.27072653675918446,-0.2664129841123213,-0.26248059827571524,-0.2588642554819671,-0.2555363662652326,-0.2522274883283444,-0.24934912544017607},
+{-0.8374991321652487,-0.5537972555632678,-0.4559229280838508,-0.40529573985554634,-0.3728979946308755,-0.35176523781137803,-0.3341069176021847,-0.3212321234288993,-0.31068493286829835,-0.30166211719256353,-0.2938658016039426,-0.287091291394745,-0.2811381775377413,-0.27583717464267465,-0.2710682477445516,-0.26675172303930594,-0.2628164316950006,-0.2591973058590611,-0.25586678791569284,-0.2525550227851454,-0.2496734604580979},
+{-0.8375753997653419,-0.5541074080615545,-0.45628822114406375,-0.4056728006294179,-0.37327521139036435,-0.352137641885065,-0.3344753031537948,-0.3215987286844211,-0.311048399900983,-0.30202181465710964,-0.29422132659556155,-0.28744362252405153,-0.2814872789851961,-0.2761830116794499,-0.27141100161429677,-0.26709149202429217,-0.26315328378586855,-0.25953136504881513,-0.2561982099850866,-0.25288354988856554,-0.24999877048276176},
+{-0.8376528321359729,-0.5544188711053266,-0.45665479180615876,-0.4060511112443237,-0.37365364193192363,-0.3525112282407008,-0.3348448484882738,-0.321966481959862,-0.31141298863303746,-0.30238261388035426,-0.2945779410283649,-0.2877970363313125,-0.2818374492817384,-0.2765299051588954,-0.27175480144796893,-0.2674322941124956,-0.26349115749553675,-0.25986643605028803,-0.25653063533695786,-0.25321307239187263,-0.2503250586332797},
+{-0.8377314323911378,-0.5547316483306304,-0.4570226437524525,-0.40643067534324473,-0.37403328987443274,-0.3528860002422789,-0.3352155571201365,-0.3223353865421359,-0.3117787023541041,-0.302744517885003,-0.2949356482561143,-0.28815153591972376,-0.28218869133957014,-0.2768778581321385,-0.27209965025531346,-0.26777413204649747,-0.26383005561569917,-0.2602025216938273,-0.25686406675026774,-0.2535435929930827,-0.25065232798419856},
+{-0.8378112036689345,-0.5550457433806741,-0.45739178068436104,-0.406811496471164,-0.374414158592117,-0.35326196124833587,-0.33558743243747813,-0.32270544561697534,-0.31214554422922447,-0.30310752969808163,-0.2952944516414391,-0.28850712438156734,-0.2825410081998143,-0.277226873741256,-0.2724455509876407,-0.2681170087969349,-0.26416998106878964,-0.2605396250232843,-0.25719850713107917,-0.2538751145614242,-0.2509805817153392},
+{-0.8378921491226947,-0.5553611599372061,-0.45776220633945286,-0.4071935783135814,-0.37479625172386477,-0.3536391147413269,-0.33596047797732354,-0.3230766626179502,-0.3125135176585445,-0.3034716524873602,-0.295654354743192,-0.28886380500921405,-0.28289440313733394,-0.2775769552413294,-0.272792506897531,-0.26846092749497075,-0.2645109369157126,-0.2608777491254841,-0.2575339594823163,-0.2542076400127371,-0.2513098230999731},
+{-0.8379742719172327,-0.5556779016823157,-0.458133924443473,-0.40757692450370087,-0.3751795727796434,-0.3540174641602789,-0.3363346972396357,-0.32344904072033387,-0.3128826258910067,-0.3038368893023744,-0.29601536094492076,-0.2892215808817582,-0.28324887896746986,-0.2779281056200489,-0.2731405208526212,-0.2688058908659059,-0.26485292592951737,-0.2612168968255446,-0.25787042654746983,-0.25454117213917016,-0.2516400552228788},
+{-0.838057575202015,-0.5559959722877466,-0.45850693873137516,-0.4079615386840487,-0.3755641253271733,-0.3543970130017442,-0.33671009373233574,-0.3238225833188153,-0.31325287223216947,-0.3042032432715587,-0.2963774737759195,-0.2895804552199479,-0.2836044388955088,-0.2782803281481847,-0.2734895959893038,-0.2691519020575015,-0.26519595110562477,-0.26155707119460203,-0.2582079112896736,-0.25487571378926077,-0.25197128128729673},
+{-0.8381420621525422,-0.5563153754442283,-0.4588812529614188,-0.40834742451670536,-0.37594991293963176,-0.35477776469429045,-0.3370866709769871,-0.3241972936828006,-0.3136242599796333,-0.30457071754017306,-0.29674069666498326,-0.28994043114016677,-0.2839610859800814,-0.2786336258816391,-0.27383973538690043,-0.2694989639162486,-0.26554001541489924,-0.2618982752701413,-0.2585464166065776,-0.25521126790135895,-0.252303504557176},
+{-0.838227735967962,-0.5566361148725036,-0.459256870893455,-0.4087345856542015,-0.3763369391451761,-0.3551597227105958,-0.33746443245536284,-0.32457317512694317,-0.31399679239029865,-0.3049393152145967,-0.29710503304022495,-0.29030151186361763,-0.28431882325753577,-0.278988002044116,-0.2741909420108186,-0.2698470794368859,-0.2658851217524898,-0.2622405119159339,-0.25888594537309473,-0.2555478372005382,-0.25263672814025995},
+{-0.8383145998193413,-0.5569581942759214,-0.45963379632314627,-0.40912302579772586,-0.37672520756541417,-0.3555428905497138,-0.33784338174564255,-0.32495023106298504,-0.3143704728990997,-0.30530903952922017,-0.2974704866282991,-0.2906637007001791,-0.2846776539356597,-0.2793434598518161,-0.27454321911454826,-0.27019625172988526,-0.26623127318111983,-0.2625837843665977,-0.25922650058259933,-0.2558854247918134,-0.2529709553291468},
+{-0.838402656921744,-0.557281617355784,-0.4600120330014761,-0.40951274862027276,-0.37711472181649697,-0.3559272716331634,-0.3382235224071337,-0.32532846481490196,-0.3147453046822193,-0.3056798935917868,-0.29783706068178617,-0.29102700072053267,-0.2850375810651258,-0.27970000238360626,-0.27489656961233777,-0.27054648363355227,-0.26657847258661604,-0.26292809543292606,-0.259568085094088,-0.2562240335387287,-0.25330618938232874},
+{-0.8384919104819346,-0.5576063878706918,-0.46039158476105513,-0.409903757849861,-0.3775054854713744,-0.35631286958982855,-0.3386048579875478,-0.32570787973486404,-0.3151212912086976,-0.30605188063782407,-0.29820475894302945,-0.2913914152095458,-0.2853986077600439,-0.28005763286205365,-0.27525099668355324,-0.2708977783604496,-0.26692672305853193,-0.2632734483254353,-0.25991070185159515,-0.25656366638281725,-0.25364243337958214},
+{-0.838582363702244,-0.5579325095519607,-0.46077245538549505,-0.4102960571576659,-0.3778975021800761,-0.3566996878776081,-0.33898739210917483,-0.3260884792323395,-0.31549843572724967,-0.3064250039037688,-0.2985735848553759,-0.2917569474193442,-0.28576073708200056,-0.2804163544808489,-0.27560650331679426,-0.2712501387586599,-0.2672760274022039,-0.26361984594723253,-0.26025435379142436,-0.2569043261976276,-0.2539796905766707},
+{-0.8386740198343432,-0.5582599861397739,-0.46115464870558753,-0.4106896502894415,-0.3782907755087308,-0.3570877300292068,-0.3393711282717504,-0.32647026674044355,-0.3158767416689443,-0.3067992665817201,-0.2989435419701749,-0.29212360057022124,-0.2861239722701612,-0.2807761704143559,-0.2759630927264425,-0.2716035680280129,-0.26762638884019907,-0.2639672913917366,-0.26059904393150646,-0.2572460161293293,-0.25431796439420395},
+{-0.8387668821109173,-0.5585888214206989,-0.4615381685700868,-0.4110845409675221,-0.37868530919740806,-0.35747699956209544,-0.3397560701469047,-0.32685324566296003,-0.3162562123104635,-0.3071746720156625,-0.29931463386174073,-0.29249137793021873,-0.2864883164695584,-0.28113708397449955,-0.2763207679286097,-0.27195806908389386,-0.2679778102876753,-0.26431578766369057,-0.2609447751995049,-0.2575887391010383,-0.2546572577709867},
+{-0.8388609537607863,-0.5589190191317357,-0.4619230188086476,-0.4114807329638097,-0.3790811068347466,-0.35786750003103407,-0.34014222128598703,-0.3272374194000349,-0.3166368510544544,-0.307551223423161,-0.29968686413690193,-0.29286028279580023,-0.28685377277588486,-0.28149909827220654,-0.27667953210357155,-0.27231364510612366,-0.2683302947625634,-0.2646653378874362,-0.2612915505521869,-0.25793249815455965,-0.2549975741351318},
+{-0.8389562380375537,-0.5592505830476284,-0.4623092032634304,-0.4118782299524355,-0.3794781720619085,-0.3582592349846436,-0.3405295853142434,-0.32762279142616535,-0.3170186612978796,-0.30792892407248473,-0.3000602363067628,-0.2932303183406475,-0.28722034440647803,-0.28186221656619637,-0.27703938819604446,-0.27267029906533935,-0.26868384538602186,-0.26501594507976733,-0.2616393729522315,-0.25827729633192575,-0.25533891674581355},
+{-0.839052738233363,-0.559583516993257,-0.46269672583980537,-0.4122770357985246,-0.379876508624875,-0.35865220806135767,-0.34091816591580937,-0.32800936522789925,-0.31740164637039925,-0.3083077773728746,-0.30043475400179886,-0.2936014879951472,-0.28758803456116766,-0.2822264420533429,-0.27740033948452947,-0.2730280341006619,-0.2690384650854867,-0.2653676122390607,-0.26198824546895594,-0.2586231366128686,-0.25568128876489027},
+{-0.8391504575956787,-0.5599178247406371,-0.4630855903876636,-0.4126771542046299,-0.3802761201870908,-0.35904642278319443,-0.34130796662225293,-0.32839714426427236,-0.31778580973582393,-0.30868778662033947,-0.3008104207658562,-0.29397379494503184,-0.28795684641409025,-0.2825917780119198,-0.27776238900264616,-0.2733868532479846,-0.26939415703986924,-0.26572034249807075,-0.2623381709934165,-0.25897002216402143,-0.25602469349973944},
+{-0.8392493994117558,-0.5602535100892965,-0.4634758008087374,-0.41307858895652316,-0.38067701035038226,-0.35944188268604194,-0.34169899112703206,-0.3287861319874992,-0.3181711546912993,-0.3090689551418109,-0.301187240184845,-0.2943472424483389,-0.2883267830343357,-0.28295822756376765,-0.2781255397769655,-0.2737467595927683,-0.2697509242836986,-0.2660741387605867,-0.2626891525269457,-0.25931795596534357,-0.256369134074248},
+{-0.8393495669729418,-0.560590576860136,-0.4638673609927082,-0.4134813438956826,-0.38107918294963383,-0.3598385914121991,-0.34209124308176797,-0.3291763319768961,-0.3185576846603908,-0.30945128636199115,-0.3015652158806006,-0.29472183391976614,-0.2886978478427409,-0.2833257941597367,-0.2784897951066796,-0.27410775626822215,-0.2701087699031177,-0.26642900432057104,-0.2630411932655079,-0.25966694123940215,-0.2567146139865599},
+{-0.8394509635786562,-0.5609290288944067,-0.46426027486973,-0.41388542277263696,-0.3814826416678443,-0.3602365526007816,-0.34248472615990977,-0.32956774771514574,-0.3189454031787591,-0.30983478369989825,-0.30194435144630916,-0.29509757265191183,-0.289070043952961,-0.2836944809050692,-0.2788551580033527,-0.27446984639937,-0.2704676970145101,-0.26678494212796977,-0.26339429603331155,-0.26001698099207715,-0.25706113630531036},
+{-0.8395535925461672,-0.5612688700089166,-0.4646545463513121,-0.4142908294704739,-0.38188739021188667,-0.36063576986248336,-0.3428794440067122,-0.32996038279657114,-0.31933431350785213,-0.3102194505499938,-0.3023246504396866,-0.2954744619291887,-0.28944337457051006,-0.28406429107212716,-0.2792216315613132,-0.27483303300755324,-0.2708277087378974,-0.2671419552541465,-0.26374846395515306,-0.26036807833838793,-0.2574087043367399},
+{-0.8396574571820565,-0.5616101040561716,-0.46505017940876314,-0.4146975677529099,-0.38229343231250823,-0.3610362468327821,-0.34327540030153614,-0.3303542407461464,-0.3197244192197104,-0.3106052903988257,-0.302706116579202,-0.295852505178118,-0.289817843121682,-0.2844352280417297,-0.27958921908430057,-0.27519731940265046,-0.2711888082922087,-0.26750004687983164,-0.26410370019902984,-0.26072023653932774,-0.25775732141141816},
+{-0.839762560828035,-0.5619527348944757,-0.4654471779583673,-0.41510564147529294,-0.38270077174433936,-0.3614379871073652,-0.3436725987394311,-0.3307493251743381,-0.32011572365536267,-0.3109923066645024,-0.30308875332843854,-0.296231705666969,-0.2901934526653349,-0.28480729497255197,-0.2799579234947487,-0.2755627084770822,-0.2715509987292535,-0.26785921986652284,-0.26446000767532496,-0.26107345845503005,-0.2581069905734239},
+{-0.8398689068046679,-0.5622967663783811,-0.4658455459407378,-0.41551505449160686,-0.38310941225336137,-0.36184099431716277,-0.34407104301135405,-0.33114563960771193,-0.32050823027407205,-0.3113805029074683,-0.30347256440563797,-0.2966120667958876,-0.29057020654954613,-0.28518049519061606,-0.28032774805569716,-0.27592920355505157,-0.27191428322726097,-0.268219477518187,-0.2648173895424861,-0.26142774746699615,-0.25845771529452577},
+{-0.8399764984760623,-0.5626422023857458,-0.4662452873840266,-0.4159258106828929,-0.3835193576230722,-0.36224527222657343,-0.34447073682508744,-0.3315431877510946,-0.3209019426690247,-0.3117698826083597,-0.3038575533985295,-0.29699359196297337,-0.2909481081685499,-0.28555483213472144,-0.28069869595287855,-0.2762968076999641,-0.27227866507791987,-0.26858082291164465,-0.2651758489269014,-0.26178310667091864,-0.25880949871543635},
+{-0.8400853391885903,-0.5629890468183021,-0.46664640623976084,-0.41633791391291197,-0.38393061171223053,-0.3626508244587967,-0.3448716839161534,-0.33194197312604956,-0.3212968641273619,-0.31216044925281494,-0.30424372385141396,-0.2973762844455905,-0.29132716064759734,-0.2859303088969227,-0.28107077020695215,-0.2766655240166074,-0.2726441472420902,-0.2689432590339038,-0.2655353888649188,-0.2621395390062844,-0.25916234404917304},
+{-0.8401954323128393,-0.5633373035303748,-0.46704890649630215,-0.4167513680031334,-0.384343178137442,-0.3630576546372595,-0.3452738878929722,-0.33234199934645403,-0.3216929982536385,-0.31255220638672654,-0.3046310793752127,-0.2977601476563905,-0.29170736739797576,-0.2863069288664519,-0.28144397404889787,-0.2770353557357339,-0.27301073314424684,-0.269306789034772,-0.2658960125224894,-0.2624970477966144,-0.25951625455286376},
+{-0.8403067812114386,-0.5636869764528001,-0.4674527922059042,-0.41716617692009095,-0.38475706084796,-0.3634657665040777,-0.34567735262953647,-0.33274327021422323,-0.3220903485459985,-0.31294515773151943,-0.3050196237154523,-0.2981451851358088,-0.29208873181573836,-0.2866846955255369,-0.28181831071560737,-0.2774063060771823,-0.27337842602150886,-0.2696714161429554,-0.2662577231380965,-0.26285563612600527,-0.2598712335231994},
+{-0.8404193892807825,-0.5640380694967462,-0.467858067348061,-0.4175823445398237,-0.38517226366229806,-0.3638751637161022,-0.3460820817590502,-0.3331457892807066,-0.3224889184255062,-0.31333930671166854,-0.3054093603398087,-0.2985314001723509,-0.29247125715596667,-0.2870636120205745,-0.2821937833291486,-0.2777783780752543,-0.2737472289436482,-0.2700371433895725,-0.2666205237503618,-0.2632153071067478,-0.2602272841197646},
+{-0.8405332599147641,-0.5643905865867964,-0.4682647359627481,-0.4179998748008984,-0.38558879034007987,-0.36428585007797665,-0.3464880791136693,-0.3335495602732408,-0.3228887114862573,-0.31373465700085035,-0.3058002929076338,-0.29891879621845874,-0.29285494679379553,-0.28744368176126045,-0.2825703949895342,-0.278151574950698,-0.2741171452071285,-0.2704039738753181,-0.26698441755320346,-0.2635760638386273,-0.26058440959423024},
+{-0.8406483965121652,-0.5647445316536732,-0.46867280209608,-0.4184187716041379,-0.38600664477644386,-0.3646978292372296,-0.34689534838594227,-0.33395458683116885,-0.32328973125277116,-0.31413121222226437,-0.3061924250175707,-0.2993073767133865,-0.29323980418780593,-0.2878249081629747,-0.28294814906575994,-0.27852589998065014,-0.2744881781679851,-0.2707719109350819,-0.26734940782284866,-0.26393790960446495,-0.26094261317530254},
+{-0.8407648024942773,-0.5650999086459478,-0.46908226982691303,-0.418839038875376,-0.38642583077967174,-0.36511110493984233,-0.3473038933057069,-0.334360872651132,-0.3236919812502492,-0.31452897594704154,-0.30658576023574824,-0.29969714496837696,-0.29362583256761354,-0.28820729447193116,-0.2833270485568846,-0.2789013561734919,-0.2748603308868951,-0.271140957335092,-0.2677154976061047,-0.2643008472743986,-0.2613018980732704},
+{-0.8408824812743205,-0.565456721510941,-0.46949314319658697,-0.41926068058251076,-0.3868463522435377,-0.3655256809079219,-0.3477137176942051,-0.3347684215032132,-0.32409546503413367,-0.31492795190843026,-0.30698030230837503,-0.3000881046550603,-0.2940130355354995,-0.28859084416603764,-0.2837070968541866,-0.27927794697689023,-0.2752336068481327,-0.27151111664966265,-0.26808269026537346,-0.2646648802506206,-0.2616622675832332},
+{-0.8410014362837046,-0.5658149742056366,-0.469905426288733,-0.4196837007052636,-0.38726821303816905,-0.3659415608906329,-0.3481248253249305,-0.3351772371115658,-0.3245001861982928,-0.31532814374236295,-0.3073760546740232,-0.3004802591169664,-0.2944014163722386,-0.2889755606606741,-0.2840882970722305,-0.2796556754137782,-0.27560800923583884,-0.2718823918155522,-0.26845098903208964,-0.265030011640647,-0.2620237248574995},
+{-0.8411216709769178,-0.5661746707187376,-0.4703191232174504,-0.42010810318333824,-0.3876914170459713,-0.3663587486964843,-0.3485372199518224,-0.3355873232085287,-0.3249061482615616,-0.31572955508568157,-0.30777302101159876,-0.3008736117794797,-0.29479097860303227,-0.289361447173178,-0.28447065246223247,-0.28003454475174294,-0.27598354136739545,-0.27225478605578246,-0.2688203969823917,-0.26539624450765587,-0.2623862731286408},
+{-0.8412431887910543,-0.5665358150309885,-0.47073423806386927,-0.420533892033518,-0.38811596818459293,-0.3667772480569056,-0.34895090542886464,-0.33599868347505435,-0.32531335489807134,-0.3161321896411664,-0.30817120495044037,-0.30126816620554564,-0.2951817255948299,-0.28974850731310653,-0.28485416631042426,-0.2804145582038018,-0.27636020646968973,-0.2726283025340308,-0.26919091750255575,-0.26576358208876627,-0.2627499156508293},
+{-0.8413659932009523,-0.5668984111349573,-0.4711507749609609,-0.42096107117799875,-0.3885418703036976,-0.3671970627844985,-0.3493658854872592,-0.33641132173238475,-0.32572180972192655,-0.3165360511277413,-0.3085706100871448,-0.30166392586056645,-0.2955736608500956,-0.2901367443203071,-0.28523884180413006,-0.28079571907369427,-0.27673800792695147,-0.2730029444669526,-0.26956255384538963,-0.2661320275860817,-0.2631146557125703},
+{-0.8414900876864522,-0.56726246304504,-0.471568738047381,-0.4213896447076877,-0.3889691273968765,-0.36761819662046946,-0.3497821640098664,-0.3368252417808435,-0.32613151629425374,-0.3169411431902063,-0.30897123996351183,-0.30206089423791127,-0.29596678784832875,-0.2905261617377164,-0.28562468226982674,-0.28117803054306023,-0.27711694899971917,-0.27337871499457833,-0.2699353092120873,-0.26650158419215586,-0.2634804963388433},
+{-0.8416154756896503,-0.5676279747541457,-0.4719881314340455,-0.42181961660435263,-0.3893977433717737,-0.3680406534101621,-0.35019974476358584,-0.3372404473830102,-0.32654247831078465,-0.31734746959068616,-0.3093730983603109,-0.3024590748657374,-0.29636111016316136,-0.2909167630214142,-0.28601169094349643,-0.28156149593905866,-0.27749703303561546,-0.2737556174956808,-0.27030918699733775,-0.26687225513296653,-0.2638474409079663},
+{-0.8417421607360893,-0.567994950302932,-0.47240895931281557,-0.42225099086817863,-0.38982772211488737,-0.3684644369370744,-0.3506186315528339,-0.33765694229714427,-0.326954699465432,-0.31775503398557703,-0.3097761886567696,-0.30285847116761033,-0.29675663122861806,-0.2913085514719569,-0.28639987109613685,-0.281946118508813,-0.2778782633406536,-0.274133655030937,-0.2706841903593613,-0.26724404360356857,-0.2642154925156319},
+{-0.841870146321753,-0.5683633937375134,-0.4728312258434926,-0.42268377161940407,-0.3902590676871114,-0.3688895510756538,-0.3510388283530119,-0.33807473037654745,-0.3273681833545652,-0.3181638401313194,-0.31018051466844554,-0.3032590867835552,-0.29715335453965963,-0.2917015306020403,-0.2867892260753706,-0.28233190149330767,-0.2782606432194825,-0.2745128308524727,-0.2710603227365027,-0.26761695279583364,-0.26458465448376955},
+{-0.8419994359594511,-0.5687333091058235,-0.47325493518042094,-0.4231179628272912,-0.390691783993816,-0.3693159996519171,-0.3514603388541673,-0.33849381538584566,-0.3277829336952891,-0.31857389172614603,-0.3105860798257254,-0.30366092514782395,-0.29755128365582095,-0.29209570391913076,-0.2871797591494669,-0.28271884817627324,-0.2786441760283651,-0.27489314824561006,-0.2714375872924393,-0.26799098605215477,-0.26495492994831693},
+{-0.8421300331526709,-0.5691047004396523,-0.4736800915693493,-0.4235535685843388,-0.3911258749647004,-0.3697437863734194,-0.3518831669671272,-0.33891420114082393,-0.32819895421971523,-0.31898519241804024,-0.31099288790233004,-0.3040639898420068,-0.2979504220998024,-0.29249107480836756,-0.28757147363194235,-0.28310696195126184,-0.27902886509696145,-0.2752746104356447,-0.27181598738320645,-0.26836614649505464,-0.26532632203497997},
+{-0.8422619414513974,-0.569477571825928,-0.4741066991543903,-0.423990592990549,-0.3915613446911266,-0.37017291522874984,-0.3523073165945334,-0.33933589151888555,-0.32861624861629934,-0.3193977460050519,-0.311400942481896,-0.3044682843838018,-0.29835077349048333,-0.2928876467883583,-0.28796437296364275,-0.2834962460015049,-0.2794147136905849,-0.2756572207183581,-0.27219552639257927,-0.26874243751808535,-0.2656988341275337},
+{-0.8423951643826513,-0.5698519273499869,-0.4745347622042573,-0.4244290400711179,-0.39199819711552664,-0.3706033900455168,-0.3527327915614933,-0.33975889030875805,-0.32903482065012213,-0.31981155613402734,-0.3118102470893973,-0.30487381233774613,-0.29875234134306083,-0.2932854232808495,-0.28835846031734036,-0.28388670373124114,-0.2798017252532645,-0.2760409824029466,-0.27257620748696354,-0.2691198622712818,-0.2660724692370877},
+{-0.8425297055160854,-0.5702277710779526,-0.47496428492536324,-0.4248689140085844,-0.39243643626673475,-0.3710352147368212,-0.353159595784291,-0.34018320132895496,-0.32945467401054884,-0.32022662652025247,-0.3122208054357998,-0.3052805772317697,-0.2991551292486747,-0.29368440779649063,-0.2887537391127353,-0.2842783384039649,-0.28018990300984115,-0.2764258986860568,-0.2729580341081146,-0.2694984240242775,-0.266447230673748},
+{-0.8426655683921354,-0.5706051071347247,-0.47539527158164674,-0.42531021885406517,-0.3928760661497108,-0.37146839313209057,-0.35358773317261694,-0.34060882853214025,-0.329875812619548,-0.3206429609947463,-0.31263262118613966,-0.3056885827086262,-0.2995591409071494,-0.29408460395143265,-0.2891502128816228,-0.2846711535541999,-0.2805792504955207,-0.2768119730296803,-0.27334100963639685,-0.26987812616562223,-0.26682312171396916},
+{-0.8428027565969387,-0.57098393962724,-0.4758277264224944,-0.42575295870665286,-0.39331709081284316,-0.37190292912760015,-0.3540172075704504,-0.34103577567884713,-0.33029824011168785,-0.32106056306997743,-0.31304569791359427,-0.3060978322273513,-0.2999643797295448,-0.29448601500303084,-0.2895478847385675,-0.2850651523697252,-0.28096977090353903,-0.2771992085679358,-0.27372513723867087,-0.2702589717528099,-0.2672001452403947},
+{-0.8429412737009443,-0.5713642726744865,-0.4762616537057056,-0.42619713777980905,-0.39375951432270995,-0.3723388265648282,-0.3544480229406872,-0.34146404666830676,-0.3307219603309477,-0.32147943659606426,-0.3134600392854736,-0.3065083294522992,-0.30037084944797243,-0.2948886446490633,-0.28994675828539584,-0.28546033825386985,-0.28136146762699354,-0.27758760877668465,-0.27411042041148903,-0.2706409642348717,-0.2675783047434379},
+{-0.8430811233043869,-0.571746110414324,-0.476697057734782,-0.42664276015716496,-0.3942033407272447,-0.37277608951148977,-0.354880183209616,-0.34189364541157374,-0.331146977189519,-0.32189958518392814,-0.31387564896272124,-0.30692007792458753,-0.3007785537331529,-0.2952924963863097,-0.29034683683107687,-0.28585671472183094,-0.2817543441306043,-0.2779771770053685,-0.27449686244813165,-0.2710241068275536,-0.2679576032217028},
+{-0.8432223090084108,-0.5721294569881366,-0.47713394282209265,-0.4270898300196677,-0.39464857412440324,-0.37321472180792625,-0.3553136923035254,-0.34232457570760744,-0.33157329435789507,-0.32232101259455703,-0.3142925306160578,-0.3073330812489985,-0.30118749615212437,-0.29569757365516125,-0.29074812379826653,-0.28625428503687544,-0.28214840362761606,-0.27836791659501614,-0.2748844667078174,-0.2714084027413719,-0.2683380439618759},
+{-0.8433648344177982,-0.5725143165427653,-0.4775723132067924,-0.42753835147595964,-0.3950952184754897,-0.3736547273074393,-0.35574855409799966,-0.34275684143631224,-0.3320009158292123,-0.3227437224559253,-0.314710687802517,-0.3077473429634665,-0.3015976802964815,-0.2961038799458038,-0.2911506225955236,-0.28665305266372343,-0.2825436495775193,-0.27875983090029877,-0.27527323651725055,-0.27179385527483646,-0.26871963009057254},
+{-0.8435087031618878,-0.5729006932475613,-0.4780121733053875,-0.42798832879202564,-0.3955432780464889,-0.3740961100804725,-0.35618477266802984,-0.3431904466247033,-0.3324298454579093,-0.32316771860837434,-0.3151301244572551,-0.30816286686490457,-0.30200911005022135,-0.2965114189230462,-0.2915543367637383,-0.2870530212103404,-0.2829400854357118,-0.2791529234780228,-0.27566317531614004,-0.27218046775738003,-0.2691023647826114},
+{-0.8436539188788856,-0.5732885912972279,-0.4784535273920483,-0.4284397661119783,-0.39599275687578483,-0.37453887397896324,-0.3566223518869265,-0.34362539503536027,-0.3328600870856917,-0.323593004594386,-0.315550843980418,-0.30857965636459994,-0.30242178881576365,-0.29692019404797065,-0.29195926964143837,-0.28745419392384974,-0.28333771445477396,-0.2795471975905457,-0.2760542863804858,-0.2725682434152077,-0.26948625119416647},
+{-0.8438004852031327,-0.5736780148743037,-0.4788963798430359,-0.42889266763290834,-0.3964436589972138,-0.3749830230099178,-0.35706129576260537,-0.3440616906368632,-0.33329164459178173,-0.3240195841233344,-0.3159728501736936,-0.30899771520125796,-0.30283572045414076,-0.29733020880439653,-0.29236542471471694,-0.2878565744185835,-0.28373654009919846,-0.27994265670690766,-0.27644657321752675,-0.27295718546201897,-0.2698712925594009},
+{-0.8439484057806794,-0.5740689681608728,-0.4793407350309735,-0.42934703761898163,-0.39689598870472764,-0.3754285612114927,-0.3575016083227638,-0.34449933728910764,-0.3337245219684064,-0.3244474610078214,-0.3163961467776062,-0.3094170470371864,-0.30325090859309967,-0.29774146688851033,-0.2927728054655745,-0.2882601661242461,-0.2841365658000541,-0.2803393044046061,-0.27684003913259403,-0.2733472972313393,-0.2702574919599101},
+{-0.8440976842992995,-0.5744614553898373,-0.4797865973146145,-0.42980288024841684,-0.39734975000646955,-0.3758754924594996,-0.35794329346185805,-0.34493833895157877,-0.3341587231468566,-0.3248766388180684,-0.31682073743763794,-0.30983765534256236,-0.3036673568801689,-0.2981539716465704,-0.2931814153303094,-0.28866497248668566,-0.28453779486449093,-0.28073714389711313,-0.2772346873753122,-0.2737385818936673,-0.2706448526441818},
+{-0.8442483244206187,-0.5748554807876189,-0.4802339711204695,-0.4302601997801503,-0.39780494712931613,-0.3763238208257462,-0.35838635533195884,-0.34537869957625844,-0.3345942520995777,-0.32530712135712747,-0.31724662593273933,-0.31025954402343814,-0.30408506913272504,-0.29856772678908783,-0.2935912578011539,-0.28907099717162055,-0.2849402308418121,-0.2811361788787963,-0.2776305215661523,-0.274131042835279,-0.27103337771177394},
+{-0.8444003298156986,-0.5752510485579023,-0.48068286079842437,-0.43071900044833455,-0.3982615842598989,-0.37677355025311954,-0.35883079779227955,-0.3458204230562387,-0.33503111270511,-0.32573891226411433,-0.31767381593886057,-0.31068271655749413,-0.30450404904831885,-0.2989827358023831,-0.2940023364451463,-0.2894782436744663,-0.2853438771396668,-0.2815364127736757,-0.2780275450652425,-0.27452468330648117,-0.27142307052031356},
+{-0.8445537041963007,-0.5756481629841801,-0.481133270830469,-0.43117928653714443,-0.39871966548389537,-0.3772246847877341,-0.3592766249375927,-0.34626351330234684,-0.3354693090202545,-0.3261720152322596,-0.31810231118288357,-0.3111071766606983,-0.30492430031313233,-0.2993990022323487,-0.2944146546255979,-0.2898867154333402,-0.28574873705088066,-0.2819378490821691,-0.27842576116086093,-0.27491950648686725,-0.271813934086822},
+{-0.8447084512644096,-0.5760468283051523,-0.4815852055869527,-0.43164106230187826,-0.3991791950904826,-0.37767722847434015,-0.35972384082629105,-0.34670797423109434,-0.3359088449888077,-0.3266064339979948,-0.31853211543739235,-0.3115329279848993,-0.30534582658469844,-0.2998165296660318,-0.2948282159027258,-0.2902964160875854,-0.28615481410474786,-0.2823404913272043,-0.27882517335092416,-0.2753155157015499,-0.2722059716561489},
+{-0.8448645747396313,-0.5764470487956714,-0.48203866955554986,-0.43210433203080356,-0.3996401772308218,-0.37813118535291323,-0.3601724494935752,-0.34715380985539923,-0.33634972471645597,-0.3270421722818355,-0.3189632324936156,-0.3119599742340142,-0.30576863174496793,-0.3002353216706979,-0.2952430238665329,-0.2907073493072403,-0.2865621118025956,-0.28274434305581053,-0.279225785106064,-0.27571271424517363,-0.2725991865370361},
+{-0.8450220783558962,-0.5768488287496893,-0.482493667196195,-0.43256910004743077,-0.40010261613156217,-0.3785865593986273,-0.3606224549585022,-0.3476010240995038,-0.3367919521335807,-0.32747923380475186,-0.31939566606229164,-0.3123883191155983,-0.30619271946625304,-0.30065538181929696,-0.2956590819815119,-0.29111951853928986,-0.28697063354366037,-0.2831494077129264,-0.279627599741616,-0.27611110533985084,-0.2729935818388185},
+{-0.8451809658416778,-0.5772521724268245,-0.48295020297814517,-0.43303537063957265,-0.4005665160261742,-0.3790433547169414,-0.3610738613533613,-0.3480496209042485,-0.3372355313974822,-0.3279176222440583,-0.3198294199992233,-0.31281796627877156,-0.3066180935977627,-0.30107671369773925,-0.2960763937676347,-0.29153292750766013,-0.2873803828229029,-0.28355568901747574,-0.2800306208166603,-0.2765106924343854,-0.273389160808847},
+{-0.8453412409306793,-0.577657084135808,-0.48340828136383607,-0.4335031480982252,-0.4010318811399429,-0.3795015753539701,-0.3615266726455957,-0.34849960426709004,-0.337680466503798,-0.32835734132390826,-0.3202644979942306,-0.31324891945587297,-0.3070447578325002,-0.30149932087761044,-0.2964949627264559,-0.2919475797934865,-0.28779136307775843,-0.28396319045441487,-0.2804348517533981,-0.2769114786872251,-0.27378592663831114},
+{-0.8455029074186768,-0.5780635682378943,-0.4838679069077898,-0.4339724368524003,-0.40149871580319996,-0.37996122548588573,-0.36198089311028525,-0.34895097815160625,-0.33812676152797394,-0.3287983948337114,-0.3207009039292643,-0.3136811823046628,-0.30747271596828796,-0.3019232068809288,-0.2969147924493427,-0.2923634788783147,-0.2882035778550289,-0.28437191548232477,-0.28084029587239456,-0.27731346736686646,-0.27418388263913585},
+{-0.845665969058814,-0.5784716290145298,-0.4843290840890404,-0.4344432411323851,-0.40196702414664287,-0.3804223090967298,-0.3624365265970937,-0.34940374643770156,-0.33857442058251763,-0.32924078645601185,-0.32113864149528126,-0.31411475853406046,-0.3079019717902156,-0.3023483753581786,-0.2973358865274349,-0.29278062855632925,-0.28861703060192667,-0.28478186774259484,-0.28124695682754464,-0.27771666198668754,-0.274583032030705},
+{-0.845830429615944,-0.578881270827651,-0.48479181744687594,-0.43491556535423115,-0.4024368105035592,-0.38088483024921516,-0.3628935773751891,-0.34985791314875314,-0.3390234477485592,-0.32968451994179304,-0.321577714638579,-0.3145496519061908,-0.3083325290465382,-0.3027748298648021,-0.29775824844341514,-0.2931990324311755,-0.2890317248416068,-0.2851930508247733,-0.2816548379937558,-0.2781210656082749,-0.2749833779741948},
+{-0.8459962929135827,-0.5792924980237331,-0.4852561115217213,-0.4353894139237582,-0.402908079225881,-0.38134879315771286,-0.3633520495186531,-0.35031348234406323,-0.3394738471404253,-0.3301295990543167,-0.3220181271274214,-0.31498586611792234,-0.3087643916333036,-0.30320257407151985,-0.2981818818184365,-0.29361869406875485,-0.28944766410040756,-0.2856054683165894,-0.28206394280937275,-0.27852668179139073,-0.2753849238190469},
+{-0.8461635627249962,-0.5797053149638032,-0.4857219709176661,-0.43586479115151633,-0.403380834568452,-0.38181420191449433,-0.3638119471081609,-0.35077045790944794,-0.3399256229461116,-0.3305760275193279,-0.32245988283966653,-0.31542340486953435,-0.30919756329512893,-0.30363161151149143,-0.2986067901488241,-0.29403961719890503,-0.2898648518360005,-0.2860191238473817,-0.2824742748043718,-0.2789335137622402,-0.275787672720071},
+{-0.8463322428867741,-0.5801197260284425,-0.4861894001253404,-0.43634170149380225,-0.4038550808324999,-0.3822810606282019,-0.364273274339439,-0.3512288438348605,-0.3403787791914965,-0.3310238090650728,-0.32290298556927155,-0.3158622719276991,-0.3096320478268808,-0.30406194576380585,-0.2990329770666449,-0.29446180537183864,-0.29028329167340416,-0.2864340209018792,-0.28288583740982176,-0.27934156484957384,-0.276191628020797},
+{-0.846502337209813,-0.5805357356243803,-0.48665840382818715,-0.4368201493275592,-0.40433082235631446,-0.38274937352230154,-0.3647360353352269,-0.3516886442218947,-0.3408333202442009,-0.3314729476728644,-0.3233474392648077,-0.31630247108228104,-0.31006784915825847,-0.3044935805999103,-0.2994604463131054,-0.29488526240947976,-0.29070298720694154,-0.28685016320696377,-0.2832986342687036,-0.27975083854698823,-0.276596793009503},
+{-0.8466738495375239,-0.5809533481276503,-0.4871289865727704,-0.4373001390711124,-0.4048080634811413,-0.3832191446260822,-0.36520023421417136,-0.3521498629193047,-0.34128925002869437,-0.33192344680446695,-0.32379324773614826,-0.3167440060192348,-0.31050497098226515,-0.3049265194497366,-0.29988920121718365,-0.2953099918247517,-0.29112394186404345,-0.28726755419415895,-0.2837126687381897,-0.28016133799246745,-0.27700317073345104},
+{-0.8468467837087701,-0.5813725679458912,-0.48760115296022377,-0.43778167517598376,-0.4052868085575483,-0.38369037814686635,-0.36566587515767424,-0.35261250405233113,-0.3417465728416573,-0.3323753104220941,-0.3242404148825244,-0.31718688056707833,-0.3109434172829424,-0.305360766098147,-0.30031924558647916,-0.295735997385691,-0.2915461593647706,-0.2876861976137661,-0.2841279444699012,-0.28057306683490424,-0.27741076474285364},
+{-0.8470211435982264,-0.5817933995269868,-0.48807490767467243,-0.4382647620868738,-0.4057670619483815,-0.3841630783401797,-0.3661329623273559,-0.35307657162798023,-0.34220529292133506,-0.33282854234835213,-0.32468894461771924,-0.3176310984410975,-0.3113831918460619,-0.30579632410513113,-0.30075058296029056,-0.29616328274164516,-0.29196964326501984,-0.2881060970771614,-0.2845444648862667,-0.28098602823592955,-0.277819578138633},
+{-0.8471969330694264,-0.5822158473074523,-0.4885502553590868,-0.43874940428872833,-0.4062488280794696,-0.3846372493514991,-0.36660149990188984,-0.3535420695702669,-0.34266541431429687,-0.33328314625191524,-0.3251388408400544,-0.3180766634779957,-0.3118242985071902,-0.3062331970768355,-0.3011832169036097,-0.2965918514889836,-0.29239439710067927,-0.28852725615570307,-0.28496223358320094,-0.28140022570369183,-0.2782296142497671},
+{-0.8473741559912469,-0.5826399157151627,-0.48902720060368665,-0.43923560613961854,-0.4067321112133868,-0.3851128953447187,-0.3670714920340288,-0.35400900190597895,-0.3431269413545124,-0.333739125966531,-0.3255901074405756,-0.3185235793814627,-0.3122667411803377,-0.3066713887135393,-0.30161715121585075,-0.29702170737778033,-0.292820424603633,-0.2889496784682706,-0.28538125412273985,-0.28181566257512713,-0.27864087631519396},
+{-0.8475528162598494,-0.583065609251662,-0.48950574820150905,-0.43972337226296077,-0.4072169158810084,-0.3855900206228853,-0.36754294294655665,-0.3544773727658139,-0.3435898782131517,-0.33419648546146163,-0.32604274849495596,-0.3189718501491825,-0.3127105237961132,-0.3071109027939656,-0.3020523894717826,-0.29745285418880485,-0.2932477294370983,-0.2893733676910415,-0.28580153004099884,-0.2822323423413309,-0.27905336761568833},
+{-0.8477329177932234,-0.5834929323370943,-0.4899859027398179,-0.4402127071025461,-0.4077032464520016,-0.38606862929123054,-0.3680158568263323,-0.35494718616496357,-0.34405422908366745,-0.3346552284408517,-0.32649676776441083,-0.3194214794305026,-0.31315565015916036,-0.307551742864689,-0.3024889353578146,-0.2978852954156537,-0.29367631519994575,-0.28979832747290857,-0.28622306495412886,-0.2826502683892613,-0.2794670915536699},
+{-0.8479144644812777,-0.5839218895068825,-0.4904676689786811,-0.44070361513809075,-0.40819110734241804,-0.3865487257194218,-0.36849023786157886,-0.35541844607337225,-0.3445199982882059,-0.33511535871184606,-0.3269521693016486,-0.3198724711401155,-0.313602124209865,-0.30799391257755815,-0.30292679247327214,-0.29831903493163736,-0.2941061855610769,-0.2902245614006915,-0.28664586238051015,-0.2830694441686319,-0.279882051289178},
+{-0.8480974602641709,-0.5843524852430164,-0.49095105162109576,-0.44119610093366646,-0.4086805030101459,-0.387030314095,-0.36896609032987726,-0.35589115659058734,-0.34498718996792377,-0.33557688022960974,-0.3274089570884371,-0.3203248291233649,-0.31404994992203683,-0.30843741577086803,-0.3033659645689113,-0.29875407635131523,-0.29453734431149314,-0.2906520731914952,-0.2870699260336096,-0.28348987313097496,-0.28029825011776666},
+{-0.8482819090899056,-0.5847847240536339,-0.4914360554223549,-0.4416901689955921,-0.40917143784736254,-0.38751339870327683,-0.3694434183685189,-0.35636532170769897,-0.3454558084306427,-0.3360397967423978,-0.327867135015822,-0.3207785571241857,-0.31449913109008776,-0.3088822559973323,-0.30380645531840855,-0.2991904232701472,-0.2949697950537029,-0.2910808664482829,-0.287495259376783,-0.2839115587021297,-0.2807156913545441},
+{-0.8484678148887497,-0.5852186105039436,-0.4919226851206986,-0.4421858239015819,-0.4096639163974487,-0.38799798376840045,-0.36992222628373383,-0.3568409455615438,-0.34592585789641817,-0.33650411223311494,-0.32832670720154056,-0.3212336592023348,-0.31494967171761346,-0.30932843710911584,-0.30424826841840513,-0.2996280796287465,-0.2954035416616989,-0.29151094487929186,-0.28792186616487925,-0.284334504486651,-0.281134378343495},
+{-0.8486551816300789,-0.5856541490593372,-0.49241094547573994,-0.4426830701900144,-0.41015794311670106,-0.38848407359250814,-0.370402518264882,-0.3573180322111966,-0.3463973426426037,-0.3369698305566544,-0.3287876775686982,-0.32169013911129696,-0.3154015758116202,-0.30977596276170516,-0.30469140768900616,-0.3000670489566346,-0.29583858778391914,-0.29194231215637956,-0.28834974994424556,-0.28475871393561647,-0.2815543143869945},
+{-0.8488440132758797,-0.5860913443443678,-0.4929008412884741,-0.4431819124613412,-0.41065352247483133,-0.38897167260188326,-0.3708842985213323,-0.35779658568299055,-0.34687026685605815,-0.3374369556181591,-0.32925005014703856,-0.32214800076667416,-0.31585484723359514,-0.3102248367076754,-0.3051358767124839,-0.30050733507778205,-0.2962749371820337,-0.2923749718795534,-0.28877891437014114,-0.28518419054444166,-0.28197550276877337},
+{-0.8490343138112166,-0.5865302008710387,-0.49339237733420305,-0.44368235527440447,-0.41115065897156455,-0.38946078502158343,-0.3713675714454894,-0.3582766100714707,-0.34734463488325673,-0.3379054913116306,-0.3297138289851773,-0.32260724803427365,-0.3163094899380212,-0.3106750627425754,-0.3055816793387294,-0.3009489416347151,-0.2967125936957018,-0.2928089278379957,-0.2892093631805892,-0.285610937860838,-0.28239794689420705},
+{-0.8492260872423003,-0.5869707232461678,-0.49388555844620896,-0.44418440325443953,-0.4116493571348201,-0.3899514151637504,-0.3718523411930619,-0.35875810954553344,-0.34782045105475845,-0.33837544165976396,-0.33017901809603245,-0.32306788496248373,-0.3167655079423639,-0.31112664456350103,-0.3060288193823908,-0.3013918724288942,-0.2971515611193354,-0.29324418368059924,-0.28964109994740284,-0.2860389595100514,-0.28282165010978133},
+{-0.8494193375752275,-0.5874129160545181,-0.49438038944140317,-0.4446880610178141,-0.4121496214954732,-0.3904435673559874,-0.3723386120404939,-0.35924108808853816,-0.3482977194753403,-0.3388468105895299,-0.3306456215429989,-0.32352991535458386,-0.31722290521975083,-0.31157958603284897,-0.3064773004862218,-0.30183613113672436,-0.2975918432111939,-0.29368074306444214,-0.2900741282992385,-0.28646825898522366,-0.2832466157333329},
+{-0.849614068803703,-0.5878567839040443,-0.4948768751635271,-0.4451933332138651,-0.412651456597132,-0.39093724604481395,-0.37282638836427395,-0.359725549909399,-0.3487764445508219,-0.33931960212953527,-0.331113643447452,-0.32399334325646123,-0.31768168582107137,-0.31203389089341727,-0.3069271266290343,-0.3022817216169642,-0.29803344391189057,-0.2941186098048547,-0.2905084521491972,-0.2868988400316539,-0.283672847296657},
+{-0.8498102849721363,-0.588302331376326,-0.49537502046200643,-0.4457002244018895,-0.4131548669681706,-0.3914324555234998,-0.3733156743380732,-0.3602114990458176,-0.34925663057583733,-0.33979382023267135,-0.33158308785209556,-0.3244581726605702,-0.31814185368557446,-0.31248956297758923,-0.3073783014763194,-0.3027286475726214,-0.29847636692670676,-0.29455778758415363,-0.2909440750008798,-0.2873307061754531,-0.2841003481141797},
+{-0.850007990129825,-0.5887495631507136,-0.4958748302362892,-0.4462087393510501,-0.4136598571997183,-0.39192920027699074,-0.37380647438885717,-0.3606989396728295,-0.3497382817158723,-0.3402694689470991,-0.33205395880372635,-0.32492440737973993,-0.31860341280162174,-0.3129466060295272,-0.30783082893435676,-0.3031769126537256,-0.29892061613077203,-0.29499828004168194,-0.29138100062868943,-0.28776386104436824,-0.2845291216096939},
+{-0.8502071883174267,-0.589198483851078,-0.4963763093298894,-0.4467188826272377,-0.41416643186062174,-0.3924274845912805,-0.3742987927307695,-0.3611878758852072,-0.3502214023549186,-0.3407465522977873,-0.33252626044804856,-0.325392051568997,-0.31906636725693716,-0.31340502399871184,-0.3082847129326183,-0.3036265207226734,-0.29936619548016097,-0.29544009102687596,-0.29181923274904875,-0.2881983083443629,-0.28495917124200787},
+{-0.8504078836064082,-0.5896490981185707,-0.49687946268954875,-0.44723065899052017,-0.4146745955101778,-0.3929273129108424,-0.3747926337211993,-0.3616783118654894,-0.3507059967362238,-0.34122507439406036,-0.3329999968730135,-0.32586110921943146,-0.31953072102760416,-0.3138648205865593,-0.30873995715046476,-0.30407747561889664,-0.299813108719718,-0.2958832241508844,-0.29225877512271836,-0.288634051706822,-0.2853905005222259},
+{-0.8506100800652803,-0.5901014106414095,-0.4973842952238101,-0.44774407311115283,-0.41518435282387145,-0.393428689684697,-0.3752880017248117,-0.36217025170390116,-0.3511920691985324,-0.3417050394120906,-0.33347517225683987,-0.32633158426619957,-0.31999647821567123,-0.3143259997723362,-0.309196565740649,-0.30452978104312933,-0.3002613597795971,-0.29632768329133796,-0.2926996315050019,-0.2890710949584445,-0.28582311292166196},
+{-0.8508137817981378,-0.5905554260823465,-0.49789081185645045,-0.44825912967939985,-0.41569570836873027,-0.3939316193823288,-0.37578490105602214,-0.36266369963232137,-0.35167962401578734,-0.3421864513638866,-0.33395179069862024,-0.32680348091525957,-0.32046364277630346,-0.31478856535727573,-0.3096545424125452,-0.3049834407856906,-0.30071095256244007,-0.29677347214897054,-0.2931418055668473,-0.2895094415778203,-0.28625701192663655},
+{-0.8510189928857699,-0.5910111491643875,-0.4983990175473991,-0.4487758334635146,-0.41620866674702484,-0.39443610642115345,-0.37628333613110954,-0.3631586597161913,-0.35216866543373726,-0.34266931449019467,-0.33442985632677846,-0.3272768030617499,-0.32093221879995326,-0.3152525212026376,-0.3101138910856207,-0.3054384586394008,-0.30116189094496804,-0.2972205944190591,-0.2935853011410927,-0.2899490955207966,-0.286692201070764},
+{-0.8512257174603519,-0.5914685845707481,-0.4989089172772765,-0.44929418917377006,-0.4167232326717567,-0.3949421553520551,-0.37678331126721787,-0.36365513629311863,-0.3526591978563829,-0.3431536330333529,-0.33490937340957316,-0.32775155494982755,-0.3214022104473315,-0.31571787131815654,-0.3105746159201317,-0.3058948384928044,-0.30161417885233277,-0.297669054129301,-0.2940301220432957,-0.2903900604046612,-0.28712868390584845},
+{-0.851433959623364,-0.5919277370505824,-0.4994205160101046,-0.44981420154636,-0.417239410729735,-0.3954497704839923,-0.3772848308478842,-0.3641531334171759,-0.3531512254412519,-0.3436394110683523,-0.33539034597902173,-0.3282277405378409,-0.3218736216426805,-0.316184619395699,-0.3110367205690636,-0.30635258412689836,-0.3020678200803104,-0.2981188546780231,-0.2944762719605478,-0.29083233999404,-0.28756646396709584},
+{-0.8516437235227841,-0.5923886113030221,-0.4999338187524245,-0.4503358753941029,-0.4177572056128156,-0.3959589564522048,-0.377787899333498,-0.3646526553225158,-0.35364475258620587,-0.34412665294621547,-0.33587277837887086,-0.32870536406858264,-0.32234645657172223,-0.31665276951594024,-0.3115002092517898,-0.3068116994113552,-0.30252281879666043,-0.29857000021070235,-0.2949237547898065,-0.2912759381952128,-0.28800554496615405},
+{-0.851855013313866,-0.5928512121211043,-0.5004488305148698,-0.45085921546228747,-0.41827662203422733,-0.39646971778779516,-0.37829252106553213,-0.36515370627216726,-0.354139783596338,-0.3446153629568016,-0.3363566747182176,-0.32918442965160466,-0.32282071928807454,-0.3171223256160829,-0.31196508588755023,-0.3072721881924281,-0.30297917867824253,-0.2990224944369402,-0.29537257427477925,-0.29172085861523556,-0.28844593034932586},
+{-0.852067833152546,-0.5933155442528459,-0.5009655563321758,-0.4513842265814674,-0.41879766466581714,-0.3969820590375548,-0.37879870051710895,-0.3656562904038765,-0.3546363226862468,-0.34510554539428995,-0.33684203919710853,-0.32966494132574553,-0.3232964139081105,-0.3175932914416535,-0.3124313543860353,-0.3077340542465663,-0.3034369037336546,-0.299476341063837,-0.2958227342060127,-0.2921671051822159,-0.2888876238132525},
+{-0.852282187193282,-0.5937816124337587,-0.5014840012106561,-0.4519109134669179,-0.41932033814896386,-0.3974959846113961,-0.3793064420815426,-0.36616041199772553,-0.3551343742080917,-0.34559720454558374,-0.3373288760367359,-0.33014690335608066,-0.32377354442223805,-0.31806567103831185,-0.3128990188909029,-0.30819730145594804,-0.30389599793875277,-0.29993154404860434,-0.296274238473643,-0.2926146815696029,-0.2893306290650344},
+{-0.8524980796357795,-0.5942494215323677,-0.5020041702932758,-0.45243928107447573,-0.4198446473264994,-0.3980114991816208,-0.3798157502239974,-0.3666660753196993,-0.3556339424687849,-0.34609034491109014,-0.3378171895874402,-0.3306303199585727,-0.3242521151253186,-0.3185394684194307,-0.31336808339870004,-0.3086619338712353,-0.30435646520481896,-0.30038810720066067,-0.2967270909389299,-0.2930635917409745,-0.2897749497474251},
+{-0.8527155146907717,-0.5947189762932794,-0.5025260685833928,-0.4529693341623897,-0.42037059682115796,-0.3985286072818326,-0.3803266294169134,-0.36717328458007614,-0.35613503175159167,-0.3465849708532005,-0.3383069840012922,-0.3311151952759701,-0.3247321299770647,-0.31901468743558326,-0.3138385518789164,-0.30912795527865455,-0.3048183094547312,-0.30084603444902314,-0.29718129536672677,-0.29351383942912435,-0.29022058958571506},
+{-0.8529344965495511,-0.5951902815568246,-0.5030497012098749,-0.45350107756848956,-0.4208981913907337,-0.39904731352271483,-0.3808390840943048,-0.36768204404302196,-0.3566376463297729,-0.34708108673680726,-0.33879826348334063,-0.33160153354378963,-0.32521359311704146,-0.31949133205762337,-0.31431042840108603,-0.30959536953400857,-0.3052815346152329,-0.3013053294691872,-0.2976368556135185,-0.29396542844870055,-0.2906675521685429},
+{-0.853155029432628,-0.5956633421487822,-0.5035750732724864,-0.45403451621973545,-0.4214274358550938,-0.399567622545419,-0.3813531188191064,-0.36819235806092365,-0.35714179060869355,-0.3475786971328034,-0.339291032468509,-0.3320893390339279,-0.3256965088000925,-0.31996940638373417,-0.3147837170815819,-0.31006418071910957,-0.3057461447754122,-0.30176599637525214,-0.29809377574497375,-0.29441836272872024,-0.2911158414090096},
+{-0.8533771175752918,-0.5961381629108473,-0.5041021898830422,-0.454569654904617,-0.42195833492473866,-0.4000895389442576,-0.38186873801009824,-0.36870423081904846,-0.3576474687845348,-0.3480778065111281,-0.33978529505588995,-0.33257861592051086,-0.3261808809922968,-0.32044891426789945,-0.3152584220024437,-0.3105343926738442,-0.30621214377833894,-0.302228038960493,-0.2985520593692854,-0.29487264604267693,-0.29156546093463476},
+{-0.8536007652276112,-0.5966147487429225,-0.5046310562215695,-0.45510649862944774,-0.42249089341976287,-0.40061306735242397,-0.3823859462704604,-0.3692176667982494,-0.35815468524469907,-0.34857841946654844,-0.34028105576567214,-0.33306936862868497,-0.326666713965551,-0.3209298597489578,-0.3157345471749977,-0.3110060094295477,-0.30667953569604833,-0.3026914611589291,-0.2990117105796344,-0.295328282313676,-0.2920164146185016},
+{-0.853825976645453,-0.5970931044582812,-0.5051616773821479,-0.4556450522450177,-0.4230251161427532,-0.40113821237696357,-0.3829047480414829,-0.3697326701928887,-0.35866344421992835,-0.34908054054130844,-0.3407783187910809,-0.3335616013107483,-0.3271540118246321,-0.32141224685301495,-0.3162120967181181,-0.31147903501323526,-0.30714832451485563,-0.30315626690116915,-0.2994727331683862,-0.2957852753916086,-0.29246870622773713},
+{-0.854052756103556,-0.5975732349868395,-0.5056940585861867,-0.4561853206564592,-0.4235610078396803,-0.4016649787511142,-0.3834251477921953,-0.3702492453594459,-0.35917375003646157,-0.34958417425104926,-0.3412770884265228,-0.3340553182824806,-0.32764277863520874,-0.3218960795309158,-0.3166910747027032,-0.3119534733407363,-0.3076185140587313,-0.303622460101451,-0.299935131057282,-0.2962436290436017,-0.2929223395453846},
+{-0.8542811078669956,-0.5980551452137206,-0.5062282050116664,-0.4567273088073307,-0.42409857338316215,-0.40219337118878684,-0.38394715021809134,-0.37076739661347347,-0.35968560703781804,-0.3500893252653441,-0.3417773689936894,-0.3345505238999067,-0.3281330185968727,-0.3223813618424174,-0.31717148518805516,-0.31242932849136196,-0.308090108550914,-0.30409004467219347,-0.3003989082535554,-0.2967033472832554,-0.29337731844043446},
+{-0.8545110362600781,-0.5985388400731608,-0.5067641218668086,-0.45727102166074474,-0.42463781760443453,-0.4027233943443207,-0.38447075982730894,-0.37128712839012223,-0.3601990195240887,-0.3505959983315279,-0.342279164940237,-0.3350472224637997,-0.32862473588033936,-0.3228680977433669,-0.3176533323071453,-0.31290660449735697,-0.3085631118692618,-0.30455902469111606,-0.30086406855798487,-0.29716443396773684,-0.2938336467918816},
+{-0.8547425455930124,-0.59902432447916,-0.5073018143400532,-0.45781646417435695,-0.4251787453151792,-0.40325505285227337,-0.384995981115253,-0.3718084449822072,-0.3607139917362474,-0.35110419799616466,-0.34278248051941773,-0.335545418348147,-0.3291179346017543,-0.3233562913217156,-0.31813662021295386,-0.3133853054325755,-0.3090375280353328,-0.30502940398991996,-0.30133061595552135,-0.2976268929555772,-0.29429132841050887},
+{-0.8549756401411059,-0.599511603390738,-0.507841287708743,-0.45836364137517194,-0.4257213614368993,-0.4037883515861722,-0.3855228187494504,-0.3723313509290165,-0.3612305280655619,-0.3516139291266427,-0.34328732022299846,-0.3360451158748674,-0.32961261903324157,-0.32384594668906175,-0.3186213530009354,-0.31386543546750545,-0.30951336111320416,-0.30550118672499593,-0.30179855442656844,-0.29809072825264593,-0.29475036730127613},
+{-0.8552103242789144,-0.6000006817419035,-0.5083825471833734,-0.45891255816081866,-0.4262656707910537,-0.40432329518148435,-0.38605127727987565,-0.37285585052131864,-0.361748632849185,-0.35212519634319506,-0.3437936883688053,-0.336546319534591,-0.33010879319454034,-0.3243370677867006,-0.31910753478723564,-0.31434699863257265,-0.3099906151323921,-0.30597437679307404,-0.30226788790605497,-0.29855594371792904,-0.2952107672144848},
+{-0.8554466023604164,-0.6004915645664823,-0.508925598092901,-0.45946321964856907,-0.42681167827004174,-0.40485988849104615,-0.38658136134267806,-0.37338194819903947,-0.3622683102935298,-0.352638004458413,-0.3443015893462871,-0.33704903354032467,-0.3306064613589115,-0.32482965869098734,-0.31959516957590495,-0.31482999907302656,-0.3104692940851237,-0.30644897816773664,-0.3027386203430069,-0.2990225433059095,-0.2956725322046623},
+{-0.8556844787141245,-0.6009842567923442,-0.5094704456469117,-0.46001563077538776,-0.42735938881128277,-0.40539813632358346,-0.38711307545486306,-0.373909648373683,-0.36278956479577573,-0.35315235826328717,-0.34481102759241367,-0.3375532623479103,-0.3311056276334057,-0.32532372352966377,-0.32008426173206317,-0.31531444087022464,-0.310949402069582,-0.30692499499127734,-0.3032107557364725,-0.299490530971525,-0.2961356662262915},
+{-0.85592395772278,-0.6014787634369441,-0.5100170951782275,-0.46056979659056196,-0.427908807270569,-0.4059380432731814,-0.38764642429168816,-0.3744389555452017,-0.3633124006723847,-0.353668262544943,-0.34532200744251895,-0.3380590104777639,-0.33160629617850645,-0.3258192663040518,-0.3205748152176966,-0.3158003283197104,-0.3114309430998219,-0.3074024312691108,-0.30368429803229446,-0.2999599107129143,-0.2966001731892902},
+{-0.8561650437779917,-0.6019750895241032,-0.5105655520158052,-0.46112572219544745,-0.4284599385969159,-0.40647961430113355,-0.3881814124554239,-0.3749698741901284,-0.36383682220821356,-0.3541857221559894,-0.34583453346226634,-0.33856628222042673,-0.3321084713054461,-0.32631629119759964,-0.32106683418533066,-0.316287665550135,-0.31191392127811923,-0.3078812909448061,-0.3041592512463467,-0.3004306864550017,-0.2970660571204462},
+{-0.8564077412738698,-0.6024732401103847,-0.5111158214697298,-0.4616834126145477,-0.4290127877532086,-0.4070228542127552,-0.38871804457312464,-0.37550240876976204,-0.36436283379907763,-0.35470474197745716,-0.34634861002200523,-0.33907508212587345,-0.3326121570180476,-0.3268148022548303,-0.32156032285774927,-0.31677645673062216,-0.3123983406148909,-0.30836157828298383,-0.3046356193876818,-0.30090286214544903,-0.29753332192740345},
+{-0.8566520546200991,-0.6029732202175637,-0.5116679088780529,-0.46224287297036426,-0.4295673596373035,-0.4075677678642933,-0.3892563253214121,-0.37603656371493344,-0.3648904396943635,-0.3552253268360346,-0.34686424155006534,-0.3395854145435351,-0.3331173575875255,-0.3273148035646045,-0.32205528530630545,-0.3172667061407992,-0.3128842052960863,-0.30884329714854175,-0.305113406412147,-0.3013764417864877,-0.29800197170516185},
+{-0.856897988237165,-0.6034750349163005,-0.5122218196395352,-0.4628041083039989,-0.43012365928893814,-0.4081143601219992,-0.3897962593689499,-0.37657234367293313,-0.36541964432376517,-0.3557474817307593,-0.3473814326337106,-0.3400972840506711,-0.3336240772960082,-0.32781629941518986,-0.322551725858375,-0.3177584179866244,-0.313371519332577,-0.30932645186112495,-0.3055926164088305,-0.30185142941763843,-0.2984720104832377},
+{-0.8571455465811368,-0.6039786893113614,-0.5127775590942747,-0.46336712374522904,-0.4306816915973286,-0.408662635720475,-0.39033785129845455,-0.3771097529902363,-0.3659504519021084,-0.3562712114458009,-0.3479001875971335,-0.34061069501672137,-0.33413232017414884,-0.3283192937178683,-0.32304964838567685,-0.31825159646905377,-0.31386028685574274,-0.30981104625379885,-0.3060732533699593,-0.3023278289419977,-0.29894344215608726},
+{-0.8573947340640871,-0.6044841884263406,-0.513335132639213,-0.46393192446430476,-0.4312414616370006,-0.4092125996678533,-0.3908811057785897,-0.37764879638734783,-0.36648286688000553,-0.35679652099770465,-0.3484205110223684,-0.3411256520225834,-0.33464209052090155,-0.32882379078091617,-0.3235490572883464,-0.3187462459513881,-0.3143505120201553,-0.31029708460528127,-0.30655532133505403,-0.3028056444845788,-0.29941627101334234},
+{-0.8576455551841491,-0.6049915374446755,-0.5138945457276805,-0.4644985155705399,-0.4318029743801617,-0.4097642568981428,-0.39142602752281164,-0.37818947833716265,-0.367016893622349,-0.3573234153300291,-0.34894240744301896,-0.34164215953956045,-0.33515339255927756,-0.32932979474662716,-0.32404995673778103,-0.3192423706568661,-0.31484219889671294,-0.3107845710487709,-0.30703882436546337,-0.3032848799648491,-0.299890500994934},
+{-0.8578980144056914,-0.6055007414774991,-0.5144558037482057,-0.4650669022009879,-0.43236623485017844,-0.410317612255767,-0.39197262118864273,-0.37873180334941026,-0.36755253634851215,-0.35785189935108974,-0.34946588124262234,-0.3421602220314526,-0.3356662304790916,-0.3298373097545664,-0.324552350860813,-0.3197399748460157,-0.31533535164453497,-0.31127350961469347,-0.3075237665016175,-0.30376553946007334,-0.30036613618040064},
+{-0.8581521162060426,-0.6060118056082047,-0.5150189120934101,-0.4656370894911106,-0.4329312480158478,-0.4108726706840571,-0.3925208914185987,-0.3792757760711538,-0.36808979947386433,-0.3583819780681097,-0.3499909369791112,-0.3426798440350467,-0.3361806084685668,-0.33034634004025065,-0.3250562438674933,-0.3202390627852765,-0.31582997440636973,-0.3117639045121905,-0.3080101518180527,-0.30424762692882723,-0.30084318073113536},
+{-0.8584078650948186,-0.6065247350636582,-0.5155838763178053,-0.4662090827052907,-0.433498019014678,-0.41142943712543456,-0.3930708429597871,-0.37982140113535934,-0.36862868745015476,-0.3589136565103672,-0.3505175792076898,-0.3432010301949049,-0.33669653081051365,-0.3308568898487465,-0.32556163998651755,-0.32073963890570667,-0.31632607135543367,-0.31225575991675214,-0.30849798439840015,-0.30473114650931166,-0.3013216387657849},
+{-0.8586652655990292,-0.6070395349679529,-0.516150701836068,-0.4667828870303765,-0.4340665528650334,-0.4119879165459679,-0.39362248047746107,-0.3803686830933657,-0.36916920456042135,-0.35944693965507213,-0.3510458124505931,-0.34372378493844735,-0.3372140017509082,-0.331368963371915,-0.32606854343066516,-0.3212417074728364,-0.3168236466704002,-0.3127490799838597,-0.3089872683235626,-0.30521610223149764,-0.30180151444210424},
+{-0.858924322232042,-0.6075562105415884,-0.5167193941565529,-0.4673585076559448,-0.4346368546807753,-0.41254811395197066,-0.39417580863482726,-0.3809176265961014,-0.3697113551736493,-0.3599818324780699,-0.3515756412450628,-0.344248112875448,-0.3377330255043489,-0.3318825648339043,-0.32657695842954126,-0.3217452727908494,-0.3173227045040221,-0.3132438688567163,-0.3094780076717143,-0.3057024980676033,-0.30228281183326544},
+{-0.8591850395421261,-0.6080747669516313,-0.5172899587680604,-0.46793594984001174,-0.4352089294650341,-0.413110034345209,-0.39473083221128036,-0.38146823625947945,-0.37025514370520796,-0.36051834000500094,-0.35210707011265185,-0.3447740185119983,-0.33825360636456026,-0.3323976985830086,-0.3270868891718237,-0.32225033920667556,-0.3178232491382005,-0.3137401307972141,-0.309970206602884,-0.3061903381526463,-0.30276553524618066},
+{-0.8594474220861912,-0.6085952094206277,-0.517862401158709,-0.4685152187487347,-0.43578278233121637,-0.4136736826565084,-0.3952875557849893,-0.38202051665439285,-0.3708005744742877,-0.3610564672339933,-0.3526401035530853,-0.3453015064246756,-0.33877574854795967,-0.33291436880244873,-0.3275983399780671,-0.322756910946282,-0.3183252846938558,-0.3142378698980792,-0.31046386912930757,-0.3066796265352423,-0.30324968872764657},
+{-0.8597114744324017,-0.6091175432327418,-0.518436726908476,-0.4690963197176643,-0.43635841845798495,-0.4142390639660789,-0.3958459842058346,-0.3825744726029825,-0.37134765193263775,-0.3615962192398001,-0.3531747462579915,-0.34583058133375744,-0.33929945637737546,-0.3334325799664839,-0.3281113150028432,-0.32326499255714225,-0.3188288154797192,-0.3147370904989657,-0.3109589994896851,-0.30717036725081925,-0.3037352765441028},
+{-0.8599772011647246,-0.6096417735484465,-0.5190129415489082,-0.4696792580255078,-0.43693584292736887,-0.41480618328751007,-0.39640612208359016,-0.3831301086745498,-0.3718963804606119,-0.362137601062841,-0.3537110027205017,-0.3463612476302842,-0.33982473417654546,-0.333952336215134,-0.3286258186226405,-0.32377458829432726,-0.3193338457040227,-0.31523779668577845,-0.31145560173990816,-0.3076625645076092,-0.3042223028655826},
+{-0.8602446068705376,-0.6101679057101137,-0.5195910506597556,-0.4702640389093631,-0.43751506084799985,-0.4153750456709986,-0.39696797413535023,-0.3836874295730013,-0.3724467644535707,-0.362680617727392,-0.3542488775506172,-0.34689351005135904,-0.3403515861255073,-0.3344736420403933,-0.3291418550857088,-0.3242857025466037,-0.3198403795727245,-0.315739992788167,-0.3119536801068534,-0.3081562222910179,-0.30471077180254724},
+{-0.8605136961562039,-0.6106959449807619,-0.5201710597939382,-0.470850667711602,-0.4380960774283267,-0.41594565624814095,-0.3975315451966708,-0.38424643995358565,-0.37299880832620147,-0.3632252742104356,-0.3547883752639791,-0.3474273731944777,-0.34088001665986667,-0.33499650176054274,-0.3296594286666732,-0.32479833970819527,-0.3203484214545824,-0.3162436829534272,-0.31245323868051855,-0.30865134468149336,-0.305200687645538},
+{-0.8607844736733341,-0.6112258966561512,-0.5207529745575812,-0.47143914972116363,-0.43867889780926816,-0.416518020064359,-0.3980968398816458,-0.38480714457477916,-0.3735525165295712,-0.3637715757197384,-0.3553295005272048,-0.3479628416816922,-0.34141003007061954,-0.33552091969340836,-0.3301785436137834,-0.3253125040964733,-0.32085797556146645,-0.3167488715826039,-0.3129542816168396,-0.3091479359582081,-0.30569205455594783},
+{-0.8610569440302243,-0.6117577660545521,-0.5213368005722714,-0.4720294903440845,-0.43926352715129724,-0.4170921421628009,-0.39866386294693257,-0.3853695481059276,-0.37410789342470707,-0.3643195271042714,-0.35587225792232857,-0.34849992013732844,-0.34194163067968475,-0.33604690047923214,-0.3306992043721948,-0.3258282001356747,-0.32136904620165296,-0.31725556277797295,-0.31345681317725393,-0.3096460001147534,-0.30618487669653405},
+{-0.8613311118828051,-0.6122915584796829,-0.5219225434718737,-0.4726216948670299,-0.43984997072720944,-0.41766802771758194,-0.3992326191691973,-0.38593365535848534,-0.37466494354953284,-0.3648691336502452,-0.35641665208731865,-0.34903861321618024,-0.34247482293494613,-0.3365744483776325,-0.33122141520561854,-0.32634543228095936,-0.3218816377257099,-0.3177637608741861,-0.3139608374872296,-0.31014554139119355,-0.3066791582668884},
+{-0.861606981879163,-0.6128272793155247,-0.5225102088716085,-0.4732157686410119,-0.44043823367883306,-0.41824568181618815,-0.3998031132284723,-0.3864994709608709,-0.3752236713100956,-0.36542040017957333,-0.3569626876433176,-0.3495789256421631,-0.3430096110869272,-0.3371035679419947,-0.3317451804491611,-0.32686420493109836,-0.322395754419631,-0.31827347020225716,-0.314466358759546,-0.3106465639034468,-0.3071749034234017},
+{-0.8618845587379838,-0.6133649339237763,-0.5230998024501332,-0.4738117171352769,-0.4410283212084778,-0.41882510968321185,-0.40037534993416557,-0.3870669997013465,-0.3757840810619655,-0.3659733318459075,-0.35751036916917656,-0.3501208619481986,-0.3435459995725978,-0.337634263502423,-0.33227050445611894,-0.3273845223884564,-0.3229114006744567,-0.3187846948562765,-0.3149733812183513,-0.31114907183473406,-0.3076721164097762},
+{-0.8621638471228152,-0.6139045276870547,-0.523691329868825,-0.4744095456735522,-0.44162023862895694,-0.41940631642296466,-0.4009493339906385,-0.38763624631496896,-0.376346177420146,-0.3665279337942593,-0.3580597014347404,-0.35066442686911614,-0.344083992848482,-0.338166539795111,-0.3327973916693736,-0.3279063890627185,-0.3234285808312052,-0.31929743941418565,-0.31548190899502515,-0.3116530694182984,-0.30817080136148434},
+{-0.8624448517397241,-0.6144460659652395,-0.5242847967801936,-0.4750092596052582,-0.4422139910891474,-0.4199893071124734,-0.4015250701581863,-0.38820721552338,-0.37690996470632854,-0.3670842108699617,-0.35861068890790193,-0.3512096251861294,-0.34462359525468855,-0.3387004011465251,-0.3333258464335813,-0.3284298095691156,-0.3239472991681396,-0.31981170797280356,-0.31599194640421047,-0.3121585608400892,-0.3086709624612922},
+{-0.8627275773119436,-0.6149895542164359,-0.5248802089508899,-0.4756108645274253,-0.44280958393801484,-0.4205740870718273,-0.40210256316845516,-0.3887799122335309,-0.37747544756734897,-0.3676421682725959,-0.3591633364426343,-0.3517564615108313,-0.34516481125046994,-0.3392358521787173,-0.3338558732752972,-0.3289547882623083,-0.32446756023909984,-0.3203275049072545,-0.3165034976404968,-0.31266555035381316,-0.3091726040051981},
+{-0.863012028569301,-0.6155349978714639,-0.5254775720768521,-0.4762143657608249,-0.4434070224745028,-0.42116066143444186,-0.40268181786314017,-0.3893543410717939,-0.37804263037742203,-0.3682018110421268,-0.3597176485864111,-0.35230494060942874,-0.34570764531190434,-0.3397728974882739,-0.3343874765241708,-0.32948132952424203,-0.32498936824958946,-0.32084483449079926,-0.3170165670303504,-0.3131740420976712,-0.30967573021325734},
+{-0.8632982102728874,-0.6160824023513669,-0.5260768918653866,-0.47681976880721777,-0.44400631186158535,-0.42174903543377695,-0.4032628389295496,-0.3899305068553076,-0.37861151759398126,-0.3687631441148369,-0.36027363001039703,-0.35285506719901605,-0.3462521018504958,-0.3403115415658249,-0.3349206606144435,-0.3300094378041649,-0.3255127277370775,-0.32136370108582923,-0.3175311586751377,-0.31368404043996634,-0.3101803452259446},
+{-0.8635861271667409,-0.6166317731576783,-0.526678174133167,-0.477427079116751,-0.44460745757623954,-0.4223392143444471,-0.4038456311927803,-0.39050841446760387,-0.3791821139170679,-0.3693261727266872,-0.360831285463064,-0.3534068460180606,-0.34679818539416374,-0.3408517891775773,-0.33545543022546553,-0.33053911764545774,-0.3260376430462202,-0.32188410916614885,-0.31804727701546653,-0.3141955496794253,-0.3106864534579472},
+{-0.863875784037873,-0.6171831157462293,-0.5272814245431618,-0.47803630216913007,-0.4452104647359647,-0.42293120326985445,-0.4044301994149464,-0.3910880685666598,-0.3797544236599606,-0.36989090173165096,-0.3613906195960226,-0.35396028185050454,-0.34734590041307456,-0.34139364474822287,-0.3359917896264051,-0.33107037343006596,-0.32656411863627,-0.32240606285722606,-0.31856492623728627,-0.3147085739033173,-0.31119405910658315},
+{-0.8641671856670428,-0.6177364356412909,-0.5278866489395568,-0.4786474435391028,-0.4458153388484334,-0.4235250075641943,-0.40501654838590184,-0.3916694740898947,-0.3803284514879124,-0.37045733629611277,-0.3619516370954443,-0.35451537942708455,-0.34789525144560685,-0.34193711293528395,-0.33652974352344245,-0.3316032097477546,-0.32709215907470934,-0.32292956663786754,-0.31908411065887776,-0.3152231175977249,-0.3117031665497052},
+{-0.864460336853881,-0.6182917383650874,-0.52849385313948,-0.47926050867226877,-0.4464220851925802,-0.4241206325036728,-0.40560468290141216,-0.39225263578305203,-0.3809042019802291,-0.3710254814018299,-0.36251434272389815,-0.35507214360086436,-0.34844624294373716,-0.34248219848905137,-0.33706929636218774,-0.3321376309781954,-0.3276217685761367,-0.32345462492094157,-0.31960483458897215,-0.31573918493631936,-0.31221378022883073},
+{-0.8647552424451987,-0.618849029452349,-0.5291030428734302,-0.4798755031467863,-0.4470307091453378,-0.4247180833274342,-0.40619460776224514,-0.3928375584453079,-0.38148167952476797,-0.37159534210468337,-0.36307874111344063,-0.3556305791134946,-0.3489988795122372,-0.3430289059087954,-0.3376104527528696,-0.3326736416024687,-0.3281529517857962,-0.3239812419951704,-0.3201271023585832,-0.3162567803528873,-0.3127259044031234},
+{-0.865051907226416,-0.6194083144089291,-0.5297142239885488,-0.48049243244850004,-0.4476412160408927,-0.4253173653239628,-0.4067863277462038,-0.3934242469306355,-0.38206088886590805,-0.3721669234801084,-0.3636448370302787,-0.35619069077029053,-0.3495531657349602,-0.34357724000847156,-0.3381532173307278,-0.33321124617714304,-0.3286857131547549,-0.3245094224030254,-0.32065091831555037,-0.31677590806475564,-0.31323954363506346},
+{-0.8653503360793593,-0.6199695989187148,-0.5303274024033726,-0.48111130224833687,-0.44825361136349784,-0.4259184838576857,-0.40737984778502323,-0.394012706169633,-0.38264183451519784,-0.3727402305689793,-0.36421263518332125,-0.3567524835034419,-0.350109106115724,-0.34412720535829067,-0.3386975947087194,-0.3337504492556036,-0.32922005717682623,-0.3250391704136746,-0.3211762867899779,-0.3172965724088499,-0.313754702317965},
+{-0.8656505338443594,-0.6205328884516348,-0.5309425838916013,-0.48173211809762506,-0.4488679004550704,-0.42652144416024385,-0.4079751725432743,-0.3946029409125913,-0.3832245211119698,-0.37331526842081075,-0.3647821403224043,-0.3573159619818398,-0.350666705214735,-0.3446788066830777,-0.3392435894711525,-0.33429125535712956,-0.3297559884272232,-0.3255704904686354,-0.3217032121860939,-0.31781877771436484,-0.3142713851048029},
+{-0.8659525054143842,-0.6210981886874833,-0.5315597743278886,-0.48235488550153605,-0.4494840887105056,-0.42712625161834694,-0.4085723069424603,-0.39519495602871757,-0.3838089532164304,-0.3738920420219074,-0.36535335719463546,-0.3578811312513608,-0.35122596768314907,-0.34523204865672596,-0.3397912063410331,-0.33483366892551203,-0.33029351126333495,-0.3261033870517167,-0.3222316987521481,-0.31834252833823484,-0.31478959638980086},
+{-0.8662562556820603,-0.6216655052560327,-0.532178979618493,-0.48297961024354663,-0.45010218159791293,-0.42773291162029636,-0.4091712558617928,-0.3957887564115481,-0.3843951355029276,-0.3744705564781725,-0.36592629050983305,-0.35844799605774824,-0.35178689811436925,-0.3457869360213408,-0.3403404500099896,-0.3353776945591562,-0.33083263036405697,-0.32663786456350863,-0.32276175102379057,-0.31886782863057306,-0.31530934084685214},
+{-0.8665617895226205,-0.6222348437713663,-0.5328002056371588,-0.48360629778130715,-0.45072218457289637,-0.4283414294618524,-0.4097720240686158,-0.39638434687731205,-0.3849830726098844,-0.3750508168059241,-0.36650094508695474,-0.3590165612667988,-0.3523495011254454,-0.34634347341170724,-0.3408913251255399,-0.33592333676415365,-0.33137335023729975,-0.3271739274864558,-0.3232933732338097,-0.3193946829019296,-0.3158306230970993},
+{-0.8668691118762126,-0.6228062099282852,-0.5334234583749549,-0.48423495390647986,-0.4513441031288039,-0.42895181054609566,-0.41037461650034857,-0.39698173243141355,-0.3855727692084656,-0.37563282811970566,-0.3670773256735629,-0.3595868318866451,-0.35291378135752893,-0.3469016655790256,-0.3414438364702619,-0.33647060022394726,-0.33191567542053235,-0.3277115802852677,-0.3238265700233569,-0.3199230955033272,-0.31635344779624575},
+{-0.8671782276669546,-0.6233796093752062,-0.5340487436499188,-0.48486558418494496,-0.45196794268485974,-0.42956406020061877,-0.41097903798527113,-0.39758091784460703,-0.38616423002576994,-0.3762165954030934,-0.3676554370535996,-0.36015881270668615,-0.35347974340356814,-0.34746151725357777,-0.3419979887594309,-0.3370194894441738,-0.33245961051534323,-0.32825082732779265,-0.324361345633406,-0.3204530708044331,-0.31687781970094875},
+{-0.8674891418424977,-0.6239550478494493,-0.5346760674744928,-0.48549819431787,-0.45259370874214255,-0.4301781838428269,-0.41158529338667904,-0.39818190810638043,-0.3867574596611121,-0.37680212380655576,-0.36823528404102035,-0.3607325086832134,-0.3540473919319993,-0.34802303318292616,-0.34255378676971304,-0.3375700090355167,-0.3330051600760271,-0.32879167326518655,-0.3248977045950596,-0.3209846131589984,-0.31740374350192724},
+{-0.8678018593700472,-0.624532531042405,-0.535305435756527,-0.4861327900305241,-0.45322140686039347,-0.43079418696356697,-0.41219338770406466,-0.3987847080602478,-0.3873524629475469,-0.3773894182922959,-0.3688168714106723,-0.36130792481162644,-0.3546167316280844,-0.34858621808052703,-0.3431112352973287,-0.3381221635891052,-0.3335523287369142,-0.3293341224702999,-0.32543565130026764,-0.321517726973525,-0.3179312240786203},
+{-0.8681163852295413,-0.625112064699124,-0.5359368545603047,-0.48676937700588496,-0.45385104247270647,-0.43141207493522415,-0.4128033257866264,-0.399389322699335,-0.387949244623087,-0.37797848406535195,-0.3694002040833766,-0.3618850660072894,-0.3551877671961847,-0.3491510766693864,-0.3436703390725597,-0.3386759577083467,-0.3341011211082332,-0.3298781795974719,-0.3259751903128745,-0.3220524166354153,-0.31846026622088175},
+{-0.8684327244072847,-0.6256936546058114,-0.5365703297879918,-0.4874079609940054,-0.4544826211961208,-0.4320318531417797,-0.4134151125572316,-0.3999957569158141,-0.38854780938982003,-0.3785693260906555,-0.36998528675803755,-0.3624639371837475,-0.35576050318695707,-0.3497176137366296,-0.34423110296302184,-0.3392313960634965,-0.33465154178975354,-0.3304238490904936,-0.3265163260493864,-0.32258868646795236,-0.318990874802239},
+{-0.8687508819043614,-0.6262773065016063,-0.5372058674806794,-0.4880485477365255,-0.4551161485915145,-0.4326535270849945,-0.414028752982631,-0.4006040157132702,-0.38914816216629333,-0.37916194960462235,-0.3705721244518827,-0.3630445433627756,-0.356334944478931,-0.3502858339929844,-0.34479353176220684,-0.3397884833957505,-0.33520359542626466,-0.3309711353967941,-0.32705906309683996,-0.32312654095858306,-0.3195230547585197},
+{-0.8690708627382264,-0.6268630261799899,-0.5378434736608142,-0.4886911429448446,-0.4557516301886153,-0.4332771021793178,-0.41464425195226795,-0.40121410404708513,-0.38975030770779995,-0.3797563595749125,-0.3711607219843245,-0.3636268895397734,-0.3569110956386794,-0.3508557422474041,-0.34535763037592915,-0.34034722426895314,-0.3357572866857481,-0.33152004323346773,-0.32760340591039494,-0.3236659844469614,-0.3200568110360109},
+{-0.8693926719708998,-0.6274508194778718,-0.5384831543353812,-0.489335752472698,-0.4563890715519392,-0.4339025839867645,-0.41526161458705246,-0.4018260268840095,-0.3903542508214741,-0.3803525611428995,-0.37175108409246604,-0.3642109807019551,-0.35748896144741593,-0.35142734325609126,-0.34592340350218365,-0.3409076233601809,-0.33631262013705054,-0.33207057700974474,-0.3281493590388891,-0.32420702140325375,-0.3205921486101033},
+{-0.8697163146200637,-0.6280406922426209,-0.5391249155854894,-0.48998238205717826,-0.4570284783083025,-0.43452997796930504,-0.4158808457232226,-0.4024397891780609,-0.390959996505444,-0.38095055951953327,-0.3723432159144977,-0.3647968217678681,-0.35806854661814214,-0.3520006418198136,-0.346490856129094,-0.34146968536970235,-0.33686960055501913,-0.3326227414636378,-0.32869692708663933,-0.3247496563267305,-0.32112907250848366},
+{-0.8700417957766149,-0.6286326502715838,-0.539768763415168,-0.4906310374601617,-0.45766985604177535,-0.43515928946771965,-0.4165019504139309,-0.4030553959819372,-0.39156754948362504,-0.38155035966656214,-0.37293712219161534,-0.3653844178502368,-0.3586498558815947,-0.3525756426602129,-0.34705999309562685,-0.3420334151010138,-0.3374282325275999,-0.3331765410543994,-0.3292461145933885,-0.325293893565231,-0.32166758771199966},
+{-0.8703691205112136,-0.6292266994823876,-0.540414703974875,-0.4912817246367922,-0.45831321043351636,-0.4357905241922708,-0.4171249337168774,-0.4036728523428792,-0.3921769148992098,-0.38215196688952346,-0.37353280791785437,-0.36597377394082287,-0.35923289396396285,-0.3531523505871519,-0.34763081922983474,-0.3425988171748031,-0.33798852082190933,-0.33373198034405505,-0.32979692616436296,-0.3258397376721405,-0.322207699422961},
+{-0.8706982939165755,-0.6298228457335426,-0.5410627433252557,-0.49193444928323515,-0.458958547093971,-0.436423687542856,-0.41774980063928524,-0.4042921632621983,-0.3927880976089,-0.38275538630659867,-0.3741302781068043,-0.3665648951323419,-0.35981766566192164,-0.35373077044096135,-0.3482033395575854,-0.34316589648915397,-0.33855047009683403,-0.3342890640560654,-0.3303493664452617,-0.3263871931180802,-0.32274941271998614},
+{-0.8710293211104272,-0.6304210949524531,-0.5417128875380968,-0.49258921737350647,-0.4596058716388143,-0.4370587851217351,-0.41837655624431136,-0.40491333376303373,-0.39340110259854555,-0.38336062296957607,-0.37472953761471217,-0.36715778631514695,-0.3604041757316736,-0.3543109070074024,-0.34877755877960226,-0.34373465766066147,-0.33911408506355656,-0.3348477967610961,-0.33090343997264426,-0.3269362643941349,-0.32329273260575064},
+{-0.8713622072189082,-0.6310214530740268,-0.5423651428138783,-0.4932460347247343,-0.46025518985311464,-0.43769582249888117,-0.4190052056460445,-0.40553636899721823,-0.394015935014977,-0.3839676822403817,-0.3753305915065539,-0.3677524527256537,-0.36099242900672834,-0.3548927651577287,-0.34935348201679517,-0.34430510552601845,-0.3396793704537231,-0.33540818318579113,-0.3314591515363645,-0.3274869560082152,-0.323837664230723},
+{-0.8716969573761162,-0.6316239260283965,-0.5430195152207489,-0.4939049071642785,-0.4609065072827434,-0.43833480509238143,-0.4196357538994562,-0.4061612739906195,-0.39463259976946574,-0.38457656909577054,-0.3759334447413494,-0.3683488992865023,-0.36158243015916014,-0.3554763496254054,-0.3499311139862584,-0.34487724491418703,-0.3402463310062558,-0.335970227832604,-0.3320165056834412,-0.32803927246095554,-0.32438421273673157},
+{-0.8720335767368397,-0.6322285197682049,-0.5436760109114402,-0.49456584074118837,-0.4615598297245924,-0.4389757385993107,-0.4202682061682026,-0.4067880538582358,-0.3952511020784186,-0.3851872889317747,-0.3765381024522867,-0.3689471311527086,-0.36217418411933977,-0.35606166526167726,-0.3505104597593345,-0.3454510806182043,-0.34081497157012564,-0.3365339354468233,-0.3325755071077765,-0.3285932183866862,-0.3249323831955735},
+{-0.8723720704997504,-0.6328352403318149,-0.544334636118947,-0.49522884127918587,-0.4622151628957454,-0.4396186285503063,-0.4209025675659177,-0.40741671381283595,-0.3958714470427367,-0.38579984687066826,-0.37714456958065057,-0.3695471533192176,-0.3627676956639334,-0.3566487170187429,-0.351091524241383,-0.3460266174665776,-0.34138529668598494,-0.3370993106914284,-0.3331361605173697,-0.32914879822874354,-0.3254821807049666},
+{-0.8727124438235023,-0.6334440936871033,-0.544995396951208,-0.49589391471067756,-0.46287251250328154,-0.44026348059196607,-0.4215388432671716,-0.4080472588398152,-0.39649363981106944,-0.3864142481475028,-0.3777528512027857,-0.37014897086010023,-0.36336296964282155,-0.35723750964280043,-0.35167431233730895,-0.34660386033920076,-0.34195731125146267,-0.33766635832762404,-0.3336984706356816,-0.32970601667148003,-0.3260336102516703},
+{-0.8730547018974448,-0.6340550858290044,-0.5456582995832377,-0.4965610669689795,-0.4635318842954348,-0.4409103002840311,-0.4221770384874617,-0.40867969421969974,-0.3971176856107377,-0.38703049802370515,-0.37836295249826435,-0.37075258892491547,-0.36396001088314733,-0.35782804807377033,-0.35225882901568184,-0.34718281402410867,-0.34253102008096903,-0.33823508299929017,-0.334262442162526,-0.3302648781482276,-0.32658667689656795},
+{-0.8733988499773204,-0.6346682228736427,-0.5463233503444371,-0.4972303041224677,-0.4641932840818299,-0.4415590932781015,-0.4228171584259144,-0.40931402515798254,-0.3977435896740644,-0.3876486017707066,-0.37897487848294986,-0.37135801263957546,-0.3645588243330167,-0.35842033718336097,-0.3528450793273805,-0.3477634834930541,-0.3431064279639031,-0.33880548947308853,-0.3348280798354608,-0.3308253873378817,-0.3271413854185994},
+{-0.8737448932838561,-0.6352835108252748,-0.5469905553372882,-0.4979016320739902,-0.464856717615703,-0.44220986516438643,-0.4234592082839299,-0.40995025678375896,-0.39837135733387186,-0.3882685646576647,-0.37958863439007473,-0.371965246934451,-0.36515941477091474,-0.3590143818564684,-0.35343306815275355,-0.34834587366276537,-0.34368353975696664,-0.3393775824401928,-0.3353953883988652,-0.3313875487956466,-0.3276977408891071},
+{-0.8740928370446,-0.6359009557647823,-0.5476599208150219,-0.498575056800064,-0.46552219064324163,-0.44286262156447265,-0.42410319335704116,-0.4105883943502704,-0.39900099380747633,-0.38889039196965314,-0.3802042253532818,-0.3725742971228101,-0.3657617871926959,-0.3596101870766688,-0.3540228005576864,-0.3489299894067699,-0.3442623601736159,-0.3399513666945495,-0.3359643726835202,-0.3319513670849119,-0.3282557479960815},
+{-0.8744426865566766,-0.6365205638292082,-0.5483314531213637,-0.4992505844393236,-0.46618970907320545,-0.4435173682504683,-0.4247491189653374,-0.4112284431248554,-0.39963250449318366,-0.3895140890103903,-0.3808216564857503,-0.37318516812320013,-0.3663659464759803,-0.36020775763927304,-0.3546142814443556,-0.349515835594957,-0.34484289406282187,-0.3405268469805378,-0.3365350373724141,-0.3325168469777964,-0.32881541154301885},
+{-0.87479444707742,-0.6371423411358137,-0.5490051584199591,-0.49992822091462585,-0.4668592786431418,-0.44417411083486513,-0.42539699035069134,-0.41187040828526733,-0.4002658947661075,-0.3901396610312986,-0.38144093303571935,-0.37379786504061485,-0.36697189754977444,-0.36080709851876236,-0.3552075158718253,-0.3501034172040818,-0.345425146334037,-0.3411040280866473,-0.33710738720992595,-0.33308399286943313,-0.32937673609421836},
+{-0.8751481239212353,-0.6377662938389221,-0.5496810431232007,-0.5006079723275434,-0.4675309052740886,-0.44483285501883074,-0.4260468129405126,-0.4125142952038914,-0.40090117001909675,-0.3907671134670636,-0.3820620602609779,-0.3744123931173817,-0.3675796453858311,-0.3614082147460067,-0.35580250883595,-0.3506927392295438,-0.3460091218053094,-0.34168291482774293,-0.33768142718781746,-0.33365280950374654,-0.32993972637723346},
+{-0.8755037223816089,-0.6383924280521569,-0.5503591134015551,-0.5012898447607768,-0.4682045948609357,-0.4454936064366848,-0.4266985920453408,-0.4131601091871744,-0.40153833583190135,-0.39139645167779236,-0.38268504345751353,-0.37502875732252505,-0.3681891950368481,-0.36201111120817586,-0.35639926540852684,-0.3512838066826589,-0.3465948254588511,-0.3422635119750339,-0.33825716200635725,-0.33422330157645774,-0.3305043869545443},
+{-0.8758612477818133,-0.6390207499682674,-0.5510393756308076,-0.5019738442313155,-0.46888035312576903,-0.44615637076594794,-0.42735233301073094,-0.4138078554765343,-0.4021773974709504,-0.39202768092081897,-0.3833098878117198,-0.3756469628419836,-0.3688005513549797,-0.36261579295614865,-0.35699779057586056,-0.35187662448788615,-0.34718226201539437,-0.3428458244043213,-0.3388345965213375,-0.33479547365823237,-0.33107072230814083},
+{-0.8762207054944611,-0.6396512658193387,-0.5517218360923835,-0.502659976899622,-0.4695581860839866,-0.4468211538869582,-0.42800804140142645,-0.4144575395002903,-0.4028183605605591,-0.392660806679487,-0.3839365986505072,-0.376267014817131,-0.36941371947068546,-0.3632222649698633,-0.357598089430212,-0.35247119765654134,-0.3477714365267275,-0.3434298569331986,-0.33941373558036503,-0.33536933049481377,-0.3316387369491167},
+{-0.8765821008480543,-0.6402839817826589,-0.5524065011618404,-0.5033482488399841,-0.4702380996125157,-0.44748796144676817,-0.42866572252023616,-0.4151091665980857,-0.4034612307000316,-0.3932958343439168,-0.38456518135990336,-0.37688891835614413,-0.37002870449532566,-0.3638305322801898,-0.35820016692559875,-0.3530675312722451,-0.3483623538586471,-0.34401561448157736,-0.33999458410698935,-0.3359448767655522,-0.33220843535173117},
+{-0.8769454392413536,-0.6409189041200989,-0.5530933772065509,-0.5040386662012679,-0.47092009963421333,-0.4481567991610973,-0.42932538195054804,-0.4157627421191137,-0.4041060133758947,-0.3939327692992265,-0.38519564124908356,-0.3775126785253633,-0.3706455113569973,-0.3644406000212257,-0.3588040283116243,-0.3536656302949268,-0.34895501891878666,-0.3446031019216207,-0.3405771469697356,-0.336522117126151,-0.3327798219520446},
+{-0.8773107260371944,-0.6415560390885275,-0.553782470628903,-0.5047312351521214,-0.47160419209558313,-0.4488276728175151,-0.429987025157061,-0.41641827154126076,-0.4047527142806757,-0.3945716170655942,-0.38582798373954574,-0.3781383005280077,-0.3712641453203105,-0.3650524731237965,-0.35940967858095973,-0.35426549989233536,-0.34954943671482397,-0.3451923240645556,-0.3411614291476326,-0.33710105639147514,-0.3333529012015788},
+{-0.8776779666484344,-0.642195392922531,-0.5544737877337411,-0.5054259618143533,-0.47229038298200976,-0.44950058812446514,-0.43065065765222243,-0.41707576022599824,-0.4054013389923057,-0.39521238300449113,-0.38646221420776783,-0.37876578946361406,-0.37188461141204243,-0.36566615683341297,-0.3600171227476494,-0.35486714508169825,-0.3501456121484807,-0.34578328597081054,-0.34174743545327146,-0.3376816992181375,-0.33392767762234143},
+{-0.8780471665272671,-0.6428369719735656,-0.5551673349905286,-0.5061228524286889,-0.47297867822635453,-0.4501755510282237,-0.4313162850903609,-0.417735213679407,-0.4060518931378283,-0.3958550726088106,-0.3870983379961217,-0.37939515050402406,-0.3725069148276816,-0.3662816561936779,-0.3606263659698925,-0.3554705708643269,-0.35074355016604386,-0.3463759924511578,-0.3423351708925111,-0.3382640504160008,-0.33450415560082547},
+{-0.8784183310863227,-0.6434807825269218,-0.5558631187766423,-0.5068219131330807,-0.4736690838044524,-0.4508525672476935,-0.43198391294617977,-0.41839663728387677,-0.4067043824334178,-0.3964996913905452,-0.3877363607825828,-0.3800263887605979,-0.373131060808646,-0.36689897640007985,-0.3612374134077072,-0.3560757824589018,-0.35134325585931947,-0.3469704485960392,-0.34292464035934245,-0.33884811476946197,-0.33508233968404966},
+{-0.8787914657773399,-0.6441268309133648,-0.5565611455235739,-0.5075231501205053,-0.4743616057230611,-0.4515316424703997,-0.43265354689856395,-0.4190600365504906,-0.4073588125097558,-0.39714624479211125,-0.3883762877899244,-0.38065950941108895,-0.37375705442627805,-0.36751812260672523,-0.3618502701929174,-0.3566827849949732,-0.35194473413275773,-0.34756665931217867,-0.34351584892056053,-0.3394338970838362,-0.3356622343899289},
+{-0.8791665760825254,-0.644775123492991,-0.5572614217107912,-0.508226569739918,-0.4750562500835258,-0.4522127827044642,-0.43332519260729896,-0.4197254171303939,-0.40801518924490665,-0.39779473848830094,-0.3890181246752036,-0.38129451761642486,-0.3743849011002567,-0.3681390999940959,-0.3624649413682164,-0.35729158350068246,-0.35254799005224413,-0.34816462951539506,-0.34410880145424017,-0.3400214021453394,-0.3362438442918574},
+{-0.8795436674893153,-0.6454256666318088,-0.5579639538123047,-0.5089321781379113,-0.4757530228894211,-0.45289599367561095,-0.4339988557949255,-0.4203927843536803,-0.40867351825090736,-0.39844517792425904,-0.38966187688583886,-0.38193141856390866,-0.37501460593421143,-0.36876191390410895,-0.3630814322232254,-0.35790218321517386,-0.3531530286609268,-0.3487643643820775,-0.34470350312449227,-0.34061063481203746,-0.33682717413603314},
+{-0.8799227454926495,-0.6460784667287953,-0.5586687482650632,-0.5096399815961377,-0.4764519301115797,-0.4535812812578115,-0.43467454206484035,-0.4210621438292037,-0.40933380520937135,-0.3990975685178455,-0.3903075499656552,-0.38257021735398666,-0.37564617434418324,-0.36938656949632787,-0.36369974779972836,-0.35851458926663327,-0.3537598548355163,-0.3493658688457799,-0.34529995876391695,-0.34120159987833176,-0.3374122283748875},
+{-0.8803038156258935,-0.6467335301895218,-0.5593758116190202,-0.5103499864042078,-0.4771529779732191,-0.4542686514541856,-0.435352257309205,-0.4217335011740033,-0.4099960560774889,-0.3997519161925993,-0.3909551495121377,-0.3832109193067481,-0.376279611629343,-0.370013072159054,-0.36431989343327587,-0.3591288068041649,-0.35436847379924075,-0.3499691480483307,-0.34589817357755237,-0.34179430239464637,-0.33799901188149306},
+{-0.8806868834074066,-0.6473908634486634,-0.560085150342502,-0.5110621988542334,-0.47785617240833744,-0.45495810987722507,-0.43603200720463064,-0.4224068618750607,-0.41066027644410497,-0.4004082261831172,-0.39160468107911584,-0.38385352950035667,-0.3769149230383846,-0.3706414270350251,-0.3649418741661066,-0.35974484101006965,-0.35497889053567633,-0.350574206930105,-0.34649815251896143,-0.3423887470526097,-0.3385875294093239},
+{-0.881071954388517,-0.6480504728974665,-0.5607967709145214,-0.5117766252619731,-0.4785615195878563,-0.45564966259598805,-0.4367137975636979,-0.42308223158761393,-0.4113264722009262,-0.4010665043106201,-0.3922561503063662,-0.38449805322761677,-0.3775521140505589,-0.3712716396776159,-0.3655656953515063,-0.3603626971007543,-0.35559111030397617,-0.3511810506265647,-0.34709990063311125,-0.3429849389276569,-0.33917778581508173},
+{-0.8814590341758048,-0.6487123651186266,-0.5615106799973546,-0.512493271972744,-0.4792690256608694,-0.45634331550627394,-0.4373976342744754,-0.4237596159559871,-0.41199464911505856,-0.40172675619396614,-0.3929095627722745,-0.3851444956994783,-0.3781911900277919,-0.37190371534688893,-0.3661913621385793,-0.3609823803121799,-0.3562051379149125,-0.35178968424907,-0.34770342306592283,-0.3435828828000922,-0.339769785954104},
+{-0.8818481283215078,-0.6493765464956596,-0.5622268840375,-0.5132121453184482,-0.47997869675282345,-0.45703907453162174,-0.43808352317864774,-0.4244390205376476,-0.412664812937237,-0.40238898738243734,-0.39356492418346534,-0.38579286212143415,-0.3788321564315993,-0.3725376594966292,-0.3668188798187657,-0.36160389586666497,-0.35682097859444184,-0.35240011298037643,-0.3483087248432639,-0.3441825837962824,-0.34036353484952997},
+{-0.8822392424178815,-0.6500430235328167,-0.5629453896069663,-0.513933251573917,-0.4806905389614258,-0.45773694555646216,-0.43877147014609363,-0.42512045109606333,-0.41333696950096055,-0.40305320364950603,-0.39422224016470864,-0.3864431577471805,-0.37947501859662225,-0.37317347749740293,-0.36744825359619426,-0.36222724896151703,-0.35743863751167737,-0.3530123418486255,-0.34891581119472903,-0.34478404673609475,-0.34095903749675927},
+{-0.8826323821074311,-0.6507118028309833,-0.5636662034544315,-0.5146565972788721,-0.4814045585681015,-0.45843693463348245,-0.4394614811790234,-0.42580391325054734,-0.4140111246219931,-0.4037194106363131,-0.3948815164562802,-0.38709538794000764,-0.38011978211488895,-0.3738111748839401,-0.368079488911917,-0.3628524449213728,-0.3580581198020809,-0.3536263761202463,-0.34952468714936913,-0.34538727668677893,-0.3415562988689089},
+{-0.8830275530135623,-0.6513828908484811,-0.5643893319895597,-0.5153821887377035,-0.4821207616664651,-0.4591390476180095,-0.440153562159594,-0.42648941264951645,-0.41468728413246936,-0.40438761400218937,-0.39554275874297673,-0.3877495579454262,-0.38076645233513773,-0.37445075706909847,-0.368712590989162,-0.3634794889585464,-0.35867943063931307,-0.35424222079427636,-0.35013535791267714,-0.34599227854414494,-0.34215532419057126},
+{-0.8834247608131136,-0.6520562941934713,-0.5651147819489779,-0.5161100323541632,-0.4828391544974693,-0.4598432904731453,-0.44084771912548604,-0.42717695505098163,-0.41536545377903167,-0.4050578195683556,-0.3962059727527958,-0.38840567292891137,-0.3814150348221119,-0.3750922295453165,-0.36934756511436717,-0.3641083864231405,-0.3593025751101777,-0.3548598811339616,-0.3507478285682737,-0.34659905734315544,-0.3427561184771548},
+{-0.8838240111272171,-0.6527320194261392,-0.5658425599192469,-0.516840134626591,-0.4835597432952454,-0.46054966936299024,-0.4415439580889142,-0.42786654624205767,-0.41604563936743943,-0.4057300329932332,-0.39687116417553625,-0.38906373841382447,-0.3820655351023561,-0.37573559790507716,-0.36998441667310544,-0.3647391424601665,-0.359927558421532,-0.3554793624539343,-0.35136210434393433,-0.34720761818061874,-0.34335868711241346},
+{-0.8842253096834156,-0.6534100731064427,-0.5665726725458171,-0.5175725018777939,-0.4842825342161632,-0.4612581901519661,-0.44224228510120156,-0.42855819181068,-0.4167278467120923,-0.4064042600666653,-0.3975383389165472,-0.3897237595583647,-0.3827179586969578,-0.37638086758670397,-0.3706231510145699,-0.36537176250340053,-0.36055438581479393,-0.3561006698005258,-0.35197819034101485,-0.347817965960985,-0.3439630353036591},
+{-0.8846286621683248,-0.6540904619473622,-0.5673051265562208,-0.5183071406870567,-0.48500753364260163,-0.4619688589209545,-0.4429427062686955,-0.42925189771131045,-0.4174120816778668,-0.4070805065452987,-0.3982075026633538,-0.39038574186542974,-0.38337231117202464,-0.3770280442013245,-0.37126377355571094,-0.36600625187338665,-0.36118306248454246,-0.35672380855248775,-0.35259609194054065,-0.34843010584290823,-0.3445691682222787},
+{-0.885034074287887,-0.6547731924583786,-0.5680399285586191,-0.5190440574976947,-0.4857347477686744,-0.4626816816489736,-0.4436452276604541,-0.42994766957963293,-0.41809835006188223,-0.40775877825171847,-0.39887866123126514,-0.391049690631462,-0.3840285980099907,-0.3776771333141369,-0.3719062897080221,-0.3666426158874856,-0.36181359375177635,-0.35734878379753354,-0.3532158142534172,-0.34904404279404844,-0.3451770912979555},
+{-0.8854415517942016,-0.6554582713672517,-0.5687770853141956,-0.5197832587637095,-0.4864641828676213,-0.4633966644460088,-0.44434985537282046,-0.43064551327779554,-0.41878665753984023,-0.40843908093347636,-0.39955182048379356,-0.3917156112224802,-0.384686824813798,-0.3783281405785601,-0.3725507048293366,-0.3672808598425945,-0.3624459846755599,-0.3579756009276025,-0.35383736247467823,-0.3496597819566887,-0.3457868099417283},
+{-0.8858511004343654,-0.6561457052969217,-0.5695166034804515,-0.5205247510430127,-0.48719584529771964,-0.46411381341795277,-0.4450565957722574,-0.4313454346342951,-0.4194770100330061,-0.4091214204568132,-0.4002269862526191,-0.39238350914683906,-0.3853469972086714,-0.3789810715375097,-0.3731970244166405,-0.3679209891593018,-0.36308024068694067,-0.3586042652132164,-0.35446074197261623,-0.3502773284012619,-0.3463983294523132},
+{-0.886262725989809,-0.6568355009944753,-0.5702584898410805,-0.5212685408141624,-0.4879297413444874,-0.4648331346661507,-0.4457654548532446,-0.43204743948626856,-0.4201694133598721,-0.4098058026866056,-0.4009041643630553,-0.3930533897159876,-0.386009120783001,-0.37963593183712874,-0.3738452538786987,-0.36856300921681395,-0.36371636698277143,-0.359234781986288,-0.3550859579600001,-0.35089668731779966,-0.34701165547312485},
+{-0.8866764342558326,-0.6575276650917203,-0.5710027511336193,-0.5220146346969159,-0.48866587736711153,-0.46555463415324994,-0.4464764389076663,-0.4327515336462966,-0.4208638732775398,-0.4104922334395269,-0.401583360683162,-0.39372525850376405,-0.38667320109016146,-0.3802927271071894,-0.374495398797535,-0.3692069253556838,-0.3643543689249782,-0.3598671566046505,-0.355713015724632,-0.3515178637894678,-0.3476267932283008},
+{-0.8870922309858997,-0.6582222043723505,-0.5717493941122029,-0.5227630392182618,-0.48940425970158685,-0.4662783181361192,-0.44718955428334084,-0.433457723065203,-0.4215603956322411,-0.41118071866003447,-0.40226458122197073,-0.3943991209016531,-0.3873392438040355,-0.38095146302066496,-0.37514746463921256,-0.36985274300059245,-0.3649942518259195,-0.36050139416647653,-0.35634192058796543,-0.35214086302949,-0.34824374843265105},
+{-0.8875101220469332,-0.6589191255031892,-0.5724984255932668,-0.5235137609488447,-0.49014489482078716,-0.46700419270791826,-0.4479048071825673,-0.43416601363287555,-0.42225898623837566,-0.4118712642166429,-0.40294783178524085,-0.3950749824016384,-0.3880072545216535,-0.3816121452960033,-0.3758014568488761,-0.3705004676730823,-0.36563602106389226,-0.36113750044569315,-0.35697267788509635,-0.35276569024244964,-0.3488625266681993},
+{-0.8879301132769797,-0.6596184353052195,-0.5732498523068443,-0.5242668065066027,-0.49088778897112206,-0.46773226402183354,-0.44862220395862096,-0.43487641117962994,-0.42295965080757014,-0.4125638759192043,-0.403633118279231,-0.395752848543907,-0.3886772389150792,-0.3822747795002215,-0.37645738099809023,-0.3711501046491321,-0.366279681787546,-0.3617754804722608,-0.357605292979315,-0.3533923506042811,-0.3494831333437105},
+{-0.8883522105193151,-0.6603201405459913,-0.5740036811437221,-0.5250221825008339,-0.4916329486259201,-0.4684625383288221,-0.4493417509374922,-0.43558892170267427,-0.4236623952838272,-0.41325855987633986,-0.40432044681119805,-0.3964327248572772,-0.38934920262227024,-0.3829393713913305,-0.3771152427289053,-0.3718016594607434,-0.3669252396757656,-0.36241533982774854,-0.3582397711261365,-0.35402084961606306,-0.35010557421037447},
+{-0.888776419641772,-0.6610242479714543,-0.574759918870086,-0.5257798955040016,-0.4923803802162183,-0.46919502164428195,-0.45006345449019136,-0.4363035511846647,-0.4243672254201556,-0.4139553218637957,-0.40500982315097644,-0.39711461690967553,-0.3900231512757273,-0.3836059267100609,-0.37777504756513736,-0.37245513757716253,-0.3675726999440485,-0.36305708390136715,-0.3588761178621098,-0.3546511923932485,-0.3507298549075131},
+{-0.8892027465458341,-0.6617307644341963,-0.5755185724015064,-0.5265399522631924,-0.49313009019033416,-0.46992972032967373,-0.45078732101819696,-0.43702030560552885,-0.4250741470777939,-0.4146541680447626,-0.40570125336626006,-0.397798530198088,-0.3906990905729799,-0.3842744510566263,-0.3784368010228718,-0.3731105444167042,-0.36822206812712466,-0.36370071807323257,-0.35951433847822045,-0.35528338438552964,-0.351355981110828},
+{-0.8896311971427622,-0.6624396967583834,-0.5762796485412309,-0.5273023593745165,-0.49388208506206865,-0.4706666405768374,-0.45151335693253714,-0.43773919092336655,-0.425783166067049,-0.41535510428002453,-0.40639474349336524,-0.3984844704314128,-0.39137702617472314,-0.3849449503154574,-0.37910050892196523,-0.37376788556230167,-0.36887334959146756,-0.36434624784988046,-0.3601544385087436,-0.3559174309316404,-0.35198395861607423},
+{-0.8900617773451813,-0.6631510517386232,-0.577043154175044,-0.5280671235482259,-0.49463637117014514,-0.47140578854396153,-0.4522415687274588,-0.43846021313993333,-0.4264942881609386,-0.4160581365149483,-0.40709029939898755,-0.39917244306298016,-0.39205696370072474,-0.3856174300931343,-0.3797661766384408,-0.3744271664381813,-0.36952654975402766,-0.3649936786910075,-0.36079642324057204,-0.35655333741124196,-0.35261379302573914},
+{-0.8904944931121008,-0.6638648363036737,-0.577809096287865,-0.5288342515077602,-0.4953929551647889,-0.47214717068527534,-0.452971962914944,-0.4391833783852235,-0.42720751933620704,-0.4167632709695681,-0.40778792728588087,-0.3998624537998694,-0.39273890902222774,-0.38629189628818494,-0.3804338100731002,-0.3750883926450115,-0.37018167423320847,-0.3656430161413482,-0.3614402982966567,-0.35719110941454346,-0.35324549030019625},
+{-0.8909293504016205,-0.6645810572956634,-0.5785774816870344,-0.5296037498987971,-0.49615184343156216,-0.47289079299025616,-0.45370454587236964,-0.4399086926559903,-0.42792286529538615,-0.41747051344555075,-0.40848763309350034,-0.4005545082009121,-0.3934228676735074,-0.3869683545131011,-0.38110341474339293,-0.37575156960065215,-0.37083872841731136,-0.3662942655346342,-0.36208606912668984,-0.35783075225936045,-0.3538790561278802},
+{-0.8913663551581976,-0.6652997215724099,-0.5793483173326877,-0.5303756255179906,-0.496913042581582,-0.4736366619845285,-0.4544393243008926,-0.44063616205085054,-0.42864033203159124,-0.41817987023478054,-0.4091894228986348,-0.40124861213189433,-0.3941088454353121,-0.3876468105713684,-0.3817749964359791,-0.3764167030012686,-0.37149771802660325,-0.3669474325424744,-0.36273374107486234,-0.35847227160547845,-0.3545144963018174},
+{-0.8918055134340648,-0.6660208361120112,-0.5801216102288436,-0.5311498850978751,-0.4976765591932235,-0.4743847838954025,-0.45517630462336456,-0.44136579267842535,-0.4293599253173852,-0.41889134726079646,-0.40989330278489433,-0.4019447710065833,-0.39479684807429294,-0.3883272703073999,-0.382448560767898,-0.37708379824380245,-0.37215864843074087,-0.367602522731886,-0.3633833198591674,-0.3591156728630267,-0.355151816698708},
+{-0.8922468312032379,-0.6667444077975233,-0.580897367267653,-0.5319265354232812,-0.49844239978619953,-0.4751351650907054,-0.4559154935013794,-0.4420975906446074,-0.4300816510808545,-0.41960495069315584,-0.4105992788122421,-0.4026429906575686,-0.3954868812465975,-0.3890097395369594,-0.3831241135512755,-0.37775286098576544,-0.3728215251776419,-0.36825954151618134,-0.36403481095157986,-0.35976096167860305,-0.3557910232016184},
+{-0.8926903145013512,-0.6674704435736203,-0.5816755954465407,-0.5327055832176484,-0.4992105708765848,-0.4758878118627763,-0.45665689755060157,-0.4428315621121328,-0.4308055151673216,-0.42032068666276245,-0.4113073571579662,-0.4033432767391787,-0.3961789507957292,-0.38969422399304676,-0.3838016605050143,-0.37842389690740674,-0.37348635397984253,-0.36891849461380843,-0.3646882199082029,-0.36040814365651386,-0.35643212164450233},
+{-0.8931359693831382,-0.6681989504534158,-0.5824563018454683,-0.5334870353908627,-0.4999810792487551,-0.47664273065129237,-0.4574005233889693,-0.44356771334423684,-0.43153152348122603,-0.42103856119274496,-0.41201754392068324,-0.4040456349989654,-0.39687306241785336,-0.3903807295982915,-0.3844812074185029,-0.37909691144159297,-0.3741531403702538,-0.3695793875763229,-0.3653435522728614,-0.3610572244597279,-0.3570751178003775},
+{-0.8935838019281164,-0.6689299353461138,-0.583239493366591,-0.5342708986986509,-0.5007539314015048,-0.47739992781589535,-0.45814637765033694,-0.44430605039860893,-0.43225968199794806,-0.421758580653659,-0.41272984522356637,-0.40475007116310735,-0.3975692218950826,-0.3910692620197551,-0.3851627600579377,-0.3797719103667987,-0.3748218900723259,-0.37024222597074186,-0.36600081370897897,-0.3617082095775004,-0.3577200175991493},
+{-0.8940338182151208,-0.6696634053018897,-0.5840251771387557,-0.5350571799949648,-0.5015291339614123,-0.4781594096025401,-0.45889446701357883,-0.44504657953257265,-0.43298999645958247,-0.4224807509681341,-0.413444267214345,-0.4054565908936638,-0.3982674349676927,-0.3917598272428222,-0.3858463241840582,-0.38044889922639413,-0.37549260850573773,-0.37090701539409565,-0.3666600097017181,-0.36236110478739647,-0.3583668268029214},
+{-0.8944860243414041,-0.6703993672774686,-0.5848133601737118,-0.5358458861601321,-0.5023066937014846,-0.47892118273966844,-0.45964479823760485,-0.44578930705529274,-0.4337224729497393,-0.42320507855401956,-0.4141608161262411,-0.40616520008779844,-0.3989677075583131,-0.39245243115510675,-0.3865319056944827,-0.3811278836783458,-0.37616530157447414,-0.37157376157074395,-0.3673211460600214,-0.3630159158665265,-0.35901555136160823},
+{-0.8949404264158147,-0.6711378282991518,-0.5856040494818444,-0.5366370239962635,-0.5030866171618982,-0.4796852535137077,-0.4603973780681372,-0.446534239135417,-0.4344571173874101,-0.4239315695103869,-0.41487949818929337,-0.4068759044776016,-0.39967004541404094,-0.393147079508708,-0.387219510392697,-0.3818088693606114,-0.3768399748587399,-0.37224247018593815,-0.3679842282858772,-0.3636726484896826,-0.3596661972119364},
+{-0.8953970306076826,-0.6718787954823711,-0.5863972522308813,-0.537430600490552,-0.5038689111279382,-0.48045162836888267,-0.4611522132358914,-0.4472813821894306,-0.4351939356984076,-0.424660230083191,-0.41560031956760213,-0.40758870976787875,-0.4003744543474568,-0.3938437783044719,-0.38790914414812505,-0.38249186209986874,-0.37751663404196734,-0.3729131468799096,-0.36864926212820137,-0.3643313084062356,-0.36031876998731605},
+{-0.8958558430304038,-0.6726222757981759,-0.5871929754923713,-0.5382266225351486,-0.5046535823139493,-0.4812203138112636,-0.4619093105270622,-0.44803074240599017,-0.4359329339135911,-0.42539106657886805,-0.41632328645528105,-0.40830362191582026,-0.4010809402625455,-0.39454253335679823,-0.38860081284883563,-0.38317686743448576,-0.3781952848621586,-0.37358579729561825,-0.36931625319721206,-0.36499190135782555,-0.36097327570359994},
+{-0.8963168699083326,-0.6733682763688194,-0.5879912264233553,-0.5390250970608577,-0.5054406374742939,-0.4819913162668854,-0.46266867664508027,-0.4487823261088124,-0.4366741178278062,-0.4261240852215451,-0.417048405186506,-0.4090206466298696,-0.40178950891959175,-0.39524335062242244,-0.38929452225147543,-0.38386389124252673,-0.3788759331127949,-0.37426042722790953,-0.36998520727820505,-0.365654433209329,-0.36162972017882566},
+{-0.8967801173844236,-0.6741168042701702,-0.5887920120685521,-0.5398260309502803,-0.5062300833342306,-0.4827646423977967,-0.4634303185994213,-0.4495361396661792,-0.43741749362834526,-0.42685929230083275,-0.4177756820045033,-0.4097397898458439,-0.40250016618983864,-0.3959462359362078,-0.38999027839872724,-0.3845529391260243,-0.37955858450050073,-0.3749370423588516,-0.3706561300209614,-0.3663189097542272,-0.3622881091559975},
+{-0.897245591728506,-0.6748678666360775,-0.5895953396852747,-0.5406294312306272,-0.5070219266131062,-0.48354029871279636,-0.46419424309306123,-0.45029218949093774,-0.43816306724011156,-0.4275966941108891,-0.4185051231743273,-0.41046105728310067,-0.4032129181773598,-0.3966511953153713,-0.3906880871695648,-0.38524401686390775,-0.38024324481739313,-0.37561564851375806,-0.3713290270725338,-0.3669853369133307,-0.3629484487642003},
+{-0.8977132991394683,-0.6756214705535513,-0.5904012163703101,-0.5414353049031888,-0.5078161741907934,-0.4843182916920341,-0.46496045700996547,-0.4510504819172638,-0.43891084469851194,-0.42833629695041964,-0.4192367350542554,-0.4111844549465786,-0.40392777052102247,-0.3973582347430238,-0.3913879544693373,-0.38593713027239573,-0.3809299198373992,-0.3762962514351784,-0.3720039042982535,-0.36765372056925116,-0.36361074445585473},
+{-0.8981832458446206,-0.6763776231794054,-0.5912096493805166,-0.5422436589828976,-0.5086128328566701,-0.48509862795162917,-0.4657289672895786,-0.45181102340757207,-0.43966083210943907,-0.4290781072536447,-0.419970523882057,-0.41190998867114104,-0.40464472933535944,-0.39806736009722954,-0.392089886274789,-0.38663228507994063,-0.381618615474963,-0.3769788568151853,-0.3726807674174779,-0.368324066666446,-0.3642750023591361},
+{-0.8986554381451697,-0.6771363316536281,-0.5920206459036308,-0.5430545004164742,-0.5094119095010683,-0.4858813140417624,-0.46649978082359667,-0.4525738203792571,-0.44041303547601274,-0.4298221313133581,-0.42070649616516675,-0.41263766436759397,-0.40536380048706633,-0.39877857752208,-0.3927938885403819,-0.38732948719871274,-0.3823093374576274,-0.37766347070692063,-0.37335962214774554,-0.36899638107479404,-0.36494122823023645},
+{-0.899129882320949,-0.6778976031957882,-0.5928342131128375,-0.5438678363248073,-0.5102134108583414,-0.4866663566722309,-0.46727290450280634,-0.4533388792669939,-0.4411674608768408,-0.43056837543417714,-0.42144465808905807,-0.4133674879499267,-0.40608499002883036,-0.3994918928683546,-0.39349996715100133,-0.3880287423662594,-0.3830020917694128,-0.37835009870514114,-0.3740404742352439,-0.3696706698392518,-0.36560942782034545},
+{-0.8996065846654346,-0.6786614449363242,-0.5936503583234298,-0.5446836737351077,-0.5110173438561105,-0.48745376250826666,-0.4680483453034867,-0.45410620656139145,-0.44192411454241665,-0.4313168461244459,-0.4221850161598013,-0.41409946536032294,-0.4068083039474004,-0.4002073122483125,-0.39420812826074325,-0.3887300564247198,-0.38369688416059944,-0.3790387467911387,-0.3747233295312071,-0.37034693901432547,-0.3662796071221237},
+{-0.9000855514957493,-0.6794278640838911,-0.5944690887190518,-0.545502019684136,-0.5118237153815244,-0.4882435380268362,-0.46882611015143993,-0.4548758087535134,-0.44268300243084013,-0.4320675495823707,-0.42292757669656567,-0.41483360263509894,-0.4075337482549912,-0.4009248417164599,-0.39491837780360584,-0.38943343522851137,-0.3843937206629562,-0.37972942089299977,-0.37540819385958457,-0.37102519465770456,-0.36695177184128625},
+{-0.9005667891633493,-0.6801968678905723,-0.5952904116711579,-0.5463228813455316,-0.5126325324140453,-0.48903569005915415,-0.4696062059797441,-0.45564769242355396,-0.44344413087674184,-0.4328204924599959,-0.4236723461140173,-0.41556990576918906,-0.4082613290252084,-0.40164448723680835,-0.39563072175360503,-0.3901388846907139,-0.38509260720138627,-0.3804221267214416,-0.37609507289243993,-0.3717054427916082,-0.3676259276826386},
+{-0.9010503040456115,-0.6809684635591111,-0.5961143344129596,-0.5471462658260862,-0.5134438018039873,-0.48983022517495556,-0.47038863995476277,-0.4564218640307445,-0.4442075059828312,-0.4335756810642124,-0.42441933097961737,-0.41630838061291797,-0.40899105230573696,-0.4023662550066547,-0.39634516619980786,-0.3908464107753389,-0.3857935496180289,-0.38111687034779607,-0.37678397264517116,-0.3723876895619469,-0.3683020807138746},
+{-0.9015361024708,-0.6817426583513679,-0.5969408642563394,-0.5479721802389577,-0.5142575305294486,-0.49062715021909753,-0.47117341889497766,-0.45719833012208255,-0.4449731340209837,-0.43433312172737715,-0.42516853751931194,-0.4170490333294765,-0.4097229242938738,-0.4030901510914191,-0.39706171712350624,-0.3915560193354395,-0.38649655395875016,-0.3818136577106088,-0.37747489874845996,-0.37307194095046725,-0.3689802365097421},
+{-0.9020241908913249,-0.6825194595392077,-0.5977700086318691,-0.5488006317614236,-0.5150737255826243,-0.49142647194867095,-0.47196054997493775,-0.45797709743328596,-0.44574102117894654,-0.4350928211574683,-0.4259199724742757,-0.41779186994472184,-0.41045695115917624,-0.40381618172068556,-0.3977803807397322,-0.39226771635549085,-0.3872016262530451,-0.38251249475433724,-0.3781678573463978,-0.373758203354555,-0.36966040100332975},
+{-0.9025145757020709,-0.6832988744081376,-0.5986017747372898,-0.5496316275152822,-0.515892393879767,-0.49222819687338415,-0.47275004009134136,-0.4587581723671974,-0.4465111737963525,-0.43585478552813584,-0.42667364208273284,-0.41853689654635673,-0.41119313898525434,-0.40454435281981205,-0.3985011629456494,-0.39298150773311136,-0.3879087723385055,-0.38321338744526656,-0.37886285397371466,-0.37444648272912673,-0.3703425799112665},
+{-0.9030072633165673,-0.6840809102170624,-0.5994361700318223,-0.5504651747678508,-0.5167135425172091,-0.4930323319872514,-0.4735418964114615,-0.4595415617072831,-0.44728359821374397,-0.43661902151643517,-0.4274295529057781,-0.4192841193075765,-0.41193149404398355,-0.4052746707538972,-0.3992240699958529,-0.3936973994409527,-0.38861799843925837,-0.38391634176059597,-0.37955989462761863,-0.37513678542472917,-0.37102677900020353},
+{-0.9035022602231493,-0.6848655743290237,-0.6002732019574069,-0.551301280696407,-0.5175371785448988,-0.4938388840000698,-0.47433612598160835,-0.4603272720073619,-0.44805830081941167,-0.4373855356138847,-0.42818771160955293,-0.4200335441860261,-0.4126720225895042,-0.4060071416424762,-0.39994910796394834,-0.39441539769859446,-0.38932931055251174,-0.3846213638171321,-0.38025898530895574,-0.3758291175768136,-0.37171300409136165},
+{-0.9039995728844588,-0.6856528740634076,-0.6011128778231978,-0.5521399525191555,-0.5183633089873183,-0.4946478597616988,-0.4751327358380877,-0.4611153099622243,-0.44883528789659977,-0.43815433428744655,-0.4289481244459239,-0.42078517745494537,-0.4134147309241598,-0.40674177174696524,-0.4006762829003492,-0.3951355083445378,-0.39004271462499673,-0.38532845961572093,-0.38096013185349875,-0.3765234853990478,-0.37240126088545367},
+{-0.9044992077542702,-0.6864428167255028,-0.601955205057493,-0.5529811974861332,-0.519191940840301,-0.49545926606060675,-0.47593173310178827,-0.46190568227848416,-0.4496145660091315,-0.4389254240777518,-0.42971079821290914,-0.42153902528025355,-0.41415962531664263,-0.407478567351518,-0.401405600977796,-0.39585773751150555,-0.3907582168999397,-0.3860376351717605,-0.3816633402689149,-0.37721989515694077,-0.373091555398787},
+{-0.9050011713975437,-0.6872354097481548,-0.6028001911845422,-0.553825022961064,-0.5200230813275084,-0.49627310979667527,-0.47673312486631403,-0.462698395663665,-0.4503961415853155,-0.43969881149268986,-0.43047573943977113,-0.42229509394246634,-0.4149067122366432,-0.4082175346097756,-0.4021370684381509,-0.3965820913595053,-0.3914758234045621,-0.38674889675758095,-0.3823686163545972,-0.3779183532183197,-0.3737838930901489},
+{-0.9055054703337646,-0.6880306604548423,-0.6036478436412835,-0.5546714361285012,-0.5208567374952509,-0.4970893977997548,-0.4775369182716531,-0.46349345682483545,-0.45118002122353573,-0.44047450316247705,-0.43124295456937034,-0.4230533896934503,-0.4156559979123813,-0.40895867987728707,-0.4028706914200484,-0.3973085758598245,-0.3921955402756794,-0.3874622502848979,-0.38307596610911787,-0.3786188656331433,-0.3744782798162305},
+{-0.9060121110685486,-0.6888285762504438,-0.6044981699169512,-0.5555204443394359,-0.5216929165385409,-0.49790813684421664,-0.47834312039003635,-0.46429087258866275,-0.4519662114253151,-0.4412525056472987,-0.43201245025602475,-0.4238139186550143,-0.4164074888499272,-0.409702009481407,-0.40360647604848054,-0.39803719726751297,-0.3929173736623852,-0.3881777019555557,-0.383785395627001,-0.3793214388483648,-0.3751747213568706},
+{-0.9065211002191518,-0.6896291645646215,-0.6053511774730396,-0.5563720549648679,-0.52253162558236,-0.4987293340891483,-0.47915173845149184,-0.4650906496472089,-0.45275471893410213,-0.4420328255782806,-0.4327842330972089,-0.42457668735005427,-0.41716119151215025,-0.4104475298113357,-0.40434442857713293,-0.3987679617075628,-0.39364132971422805,-0.3888952579372926,-0.3844969108181431,-0.38002607910721053,-0.3758732234086892},
+{-0.9070324443484878,-0.6904324327506401,-0.6062068738388007,-0.5572262752702954,-0.5233728717144004,-0.49955299628709326,-0.47996277941911103,-0.4658927947957636,-0.4535455502768855,-0.4428154693723627,-0.4335583096622031,-0.4253417019481276,-0.4179171123173546,-0.4111952470957476,-0.40508455524741294,-0.3995008753199727,-0.3943674146539706,-0.3896149242982574,-0.3852105176670193,-0.38073279260015624,-0.37657379177608163},
+{-0.907546150098824,-0.6912383883959592,-0.6070652666048773,-0.5580831127044803,-0.5242166622506375,-0.5003791304152401,-0.48077625060432183,-0.4666973148946454,-0.45433871223758615,-0.4436004438202872,-0.43433468671582887,-0.42610896899032014,-0.4186752578511914,-0.41194516782843493,-0.4058268623107324,-0.40023594439480803,-0.3950956345547638,-0.39033670743037874,-0.3859262223636506,-0.3814415858269058,-0.377276432135659},
+{-0.9080622240480807,-0.6920470388288322,-0.6079263633091614,-0.5589425746420602,-0.5250630044297395,-0.501207743465784,-0.4815921591548431,-0.4675042167891661,-0.45513421170880974,-0.44438775551634535,-0.43511337072641254,-0.4268784948594657,-0.4194356346133645,-0.4126972983917767,-0.40657135601668415,-0.40097317505706087,-0.3958259958799317,-0.3910606133094916,-0.38664403082475474,-0.3821524650020365,-0.3779811501931363},
+{-0.9085806728689931,-0.6928583915714626,-0.6087901715318367,-0.5598046685054214,-0.5259119054167058,-0.5020388422954056,-0.4824105120951572,-0.4683135073696576,-0.4559320553512407,-0.44517741102026775,-0.43589436838328766,-0.42765028594203613,-0.4201982491117633,-0.4134516452118078,-0.40731804258621196,-0.4017125736691014,-0.39655850465214826,-0.3917866482261161,-0.38736394917759753,-0.3828654364774593,-0.3786879518065689},
+{-0.909101503206557,-0.6936724541278636,-0.6096566988535415,-0.5606694016787515,-0.526763372548885,-0.5028724340804729,-0.48323131677989295,-0.46912519339366554,-0.45673225013524643,-0.4459694170673174,-0.4366776863025734,-0.42842434877866253,-0.42096310801298387,-0.4142082147232031,-0.40806692833712077,-0.4024541464896174,-0.39729316721513896,-0.3925148183889178,-0.3880859835771844,-0.38358050654551334,-0.3793968424333798},
+{-0.9096247217698874,-0.694489233956574,-0.6105259529203977,-0.5615367816485559,-0.527617413005828,-0.5037085258372827,-0.484054580236716,-0.46993928193569445,-0.4575348030484747,-0.4467637802704303,-0.4374633312527294,-0.4292006899199805,-0.4217302179940816,-0.4149670134338521,-0.4088180196013127,-0.40319789968179975,-0.3980299898885278,-0.39324513021210805,-0.3888101400193591,-0.3842976815390102,-0.3801078281453556},
+{-0.9101503352728741,-0.6953087386805237,-0.6113979413667039,-0.562406815938175,-0.5284740341921861,-0.5045471245184672,-0.48488030978614916,-0.4707557798283233,-0.45833972093942066,-0.44756050731621144,-0.43825130981076654,-0.42997931581203375,-0.42249958558977596,-0.4157280478498251,-0.40957132269431895,-0.4039438396953301,-0.39876897887188534,-0.39397758972609154,-0.3895364248628539,-0.38501696788762274,-0.3808209143126078},
+{-0.9106783503955285,-0.6961309757491563,-0.6122726718858758,-0.5632795119604452,-0.5293332434621334,-0.5053882372280896,-0.485708512544079,-0.4715746940637473,-0.4591470109976399,-0.4483596049503831,-0.4390416286632899,-0.43076023326011637,-0.4232712175175948,-0.41649132446536896,-0.41032684396896,-0.40469197275251645,-0.3995101406753747,-0.39471220326549883,-0.39026484407349926,-0.3857383720405778,-0.38153610695962925},
+{-0.9112087739013077,-0.6969559527565252,-0.6131501521413156,-0.5641548773533032,-0.5301950481471067,-0.5062318709642568,-0.4865391957241627,-0.47239603164825894,-0.4599566803149173,-0.44916107976359854,-0.4398342945405602,-0.43154344859703997,-0.42404512041821363,-0.4172568499152476,-0.41108458967573824,-0.4054423053635219,-0.40025348138533445,-0.39544897721407324,-0.3909954039563672,-0.38646190016652326,-0.3822534116711722},
+{-0.9117416125841373,-0.6977836773005492,-0.6140303898300772,-0.5650329195141239,-0.5310594555580792,-0.5070780330515845,-0.4873723665396028,-0.4732197995581373,-0.46076873595075085,-0.4499649384733857,-0.4406293140300477,-0.4323289686849421,-0.4248213010459949,-0.41802463059730144,-0.41184456629252963,-0.4061948437611136,-0.40099900755649287,-0.3961879178059462,-0.39172811070466196,-0.3871875587988143,-0.3829728342366252},
+{-0.912276873183373,-0.6986141569338997,-0.614913392667404,-0.5659136461035814,-0.5319264731065232,-0.5079267304736277,-0.48820803219496156,-0.4740460048615205,-0.4615831851665462,-0.45077118785911807,-0.44142669395341727,-0.43311680009401243,-0.4255997661280162,-0.4187946732840828,-0.41260678010939955,-0.4069495944618211,-0.40174672557805025,-0.3969290312720659,-0.39246297052704904,-0.3879153541897722,-0.3836943805417832},
+{-0.9128145625263642,-0.699447399287692,-0.6157991683853652,-0.5667970646268259,-0.5327961082407455,-0.5087779703462729,-0.48904619989571074,-0.47487465454605626,-0.46240003520051687,-0.4515798345787516,-0.44222644097226294,-0.43390694964591603,-0.4263805224859425,-0.41956698449666874,-0.4133712376965377,-0.40770656377935666,-0.40249664170187316,-0.39767232417716514,-0.39319998981545723,-0.3886452930619271,-0.3844180562182373},
+{-0.913354687419087,-0.7002834120185071,-0.616687724804251,-0.5676831827427122,-0.5336683684477066,-0.5096317599227405,-0.48988687688415666,-0.47570575577901764,-0.4632192934941486,-0.4523908854621368,-0.4430285617404479,-0.43469942404590256,-0.42716357678818895,-0.42034157077205236,-0.4141379453094487,-0.4084657582816362,-0.4032487626209331,-0.3984178026189511,-0.39393917463848993,-0.389377381500708,-0.3851438671586038},
+{-0.9138972547229969,-0.7011222027447275,-0.6175790696997865,-0.5685720080637111,-0.5345432611652541,-0.5104881063398352,-0.4907300704780937,-0.47653931564536833,-0.4640409672847454,-0.45320434722771097,-0.443833063027796,-0.43549422997375586,-0.4279489358355022,-0.42111843903967383,-0.41490690948512565,-0.40922718444790007,-0.4040030945620856,-0.39916547308121153,-0.3946805315626989,-0.3901116261658899,-0.38587181912862434},
+{-0.9144422712931828,-0.7019637790829165,-0.6184732108049502,-0.569463548240492,-0.5354207937889441,-0.5113470168571439,-0.491575787731108,-0.4773753412714541,-0.46486506402561645,-0.45402022657617636,-0.4446399514795303,-0.4362913743043464,-0.42873660648319856,-0.42189759566326757,-0.41567813664914866,-0.4099908486300592,-0.40475964404640763,-0.3999153418831156,-0.39542406672535435,-0.3908480333411717,-0.3866019179286013},
+{-0.9149897440136101,-0.7028081488178941,-0.6193701560760019,-0.5703578109387308,-0.5363009739244262,-0.512208498721975,-0.49242403607468077,-0.4782138398304596,-0.46569159119599135,-0.45483853047198863,-0.4454492339468743,-0.4370908637793036,-0.4295265955315699,-0.42267904756135977,-0.4164516333080428,-0.41075675754564145,-0.4055184176881994,-0.4006674154038592,-0.39616978669391756,-0.39158660969224,-0.38733416954119093},
+{-0.9155396797932553,-0.7036553195548549,-0.6202699132477392,-0.571254803795,-0.5371838090081837,-0.5130725590975089,-0.4932748226210606,-0.4790548185142143,-0.4665205563364907,-0.4556592655053464,-0.44626091714053473,-0.43789270530578506,-0.4303189098186522,-0.42346280129368097,-0.41722740589420937,-0.4115249175365534,-0.40627942183846244,-0.40142170011813505,-0.39691769775163266,-0.39232736146686875,-0.3880685797194019},
+{-0.9160920855322274,-0.7045052990690692,-0.6211724902245805,-0.5721545345681989,-0.5380693067077118,-0.51393920537339,-0.49412815476216565,-0.4798982845795763,-0.4673519670236601,-0.4564824386907276,-0.44707500769163744,-0.4386969057954957,-0.4311135562652453,-0.42424886374874404,-0.4180054610260413,-0.41229533529485707,-0.4070426632379167,-0.40217820233419843,-0.3976678063067993,-0.3930702953166474,-0.3888051543481197},
+{-0.9166469682081697,-0.7053580950698688,-0.6220778949650594,-0.5730570110517874,-0.5389574745140635,-0.5148084447614565,-0.4949840396457148,-0.48074424524884307,-0.4681858308372284,-0.4573080568102341,-0.4478915124232117,-0.4395034718813804,-0.43191054165481546,-0.42503724158041223,-0.4187858051263902,-0.41306801745668054,-0.40780814838080914,-0.4029369285408393,-0.39842011890550566,-0.39381541774082507,-0.3895438991849005},
+{-0.9172043347787167,-0.7062137153029653,-0.622986135274914,-0.5739622408909781,-0.5398483200665396,-0.515680284708651,-0.49584248471637693,-0.48159270779115104,-0.46902215545242143,-0.4581361267628381,-0.4487104381378231,-0.44031241068068994,-0.4327098729318095,-0.4258279415776087,-0.4195684448359316,-0.4138429705562885,-0.40857588384415067,-0.40369788524776595,-0.3991746419183073,-0.3945627353268719,-0.39028482031653766},
+{-0.9177641921769464,-0.707072167542492,-0.6238972191531502,-0.5748702318692267,-0.5407418509212221,-0.5165547324777435,-0.4967034970827626,-0.48244367956749556,-0.46986094866406347,-0.4589666553420102,-0.4495317915798296,-0.441123728988714,-0.4335115570634116,-0.42662097057336723,-0.4203533866652833,-0.4146202011766036,-0.40934587631772956,-0.4044610788432692,-0.39993138198860834,-0.39531225437485773,-0.39102792367157235},
+{-0.9183265474798645,-0.7079334596032822,-0.6248111545965003,-0.5757809918959538,-0.5416380748097254,-0.517431795502489,-0.4975670842245563,-0.4832971679165894,-0.4707022181573848,-0.4597996494730978,-0.45035557949813665,-0.4419374338049238,-0.43431560097496913,-0.4274163353352378,-0.4211406373169666,-0.4153997161311054,-0.41011813237946626,-0.40522651590436,-0.40069034549742355,-0.39606398177284063,-0.39177321491206385},
+{-0.918891407673982,-0.7087975992844804,-0.6257279495489456,-0.5766945287550698,-0.5425369993658933,-0.5183114811852647,-0.4984332533417728,-0.4841531802112513,-0.4715459717704107,-0.460635116227877,-0.45118180874669633,-0.44275353215471114,-0.43512201143767015,-0.42821404273718144,-0.4219302033588974,-0.4161815219899836,-0.41089265874052217,-0.4059942027292891,-0.4014515390363158,-0.3968179238981975,-0.3925207001407216},
+{-0.9194587797819622,-0.7096645943556723,-0.6266476119626532,-0.5776108501563613,-0.5434386322499449,-0.519193796829768,-0.49930201188271894,-0.4850117238938765,-0.47239221730660574,-0.46147306243619823,-0.4520104860266656,-0.44357203077106533,-0.4359307956997327,-0.42901409966543724,-0.4227220913871861,-0.4169656255553491,-0.41166946208386435,-0.4067641460765117,-0.4022149693000756,-0.39757408737068545,-0.39327038530063874},
+{-0.9200286709346983,-0.7105344527608395,-0.6275701499484967,-0.5785299641820529,-0.5443429812103204,-0.5200787500693878,-0.5001733671269903,-0.48587280643187114,-0.4732409627426932,-0.4623134950702479,-0.4528416182015462,-0.4443929367698729,-0.4367419605073337,-0.4298165129089284,-0.4235163080898019,-0.4177520334064866,-0.41244854914111784,-0.40753635236524133,-0.4029806427552103,-0.39833247881688294,-0.3940222762103076},
+{-0.9206010881684961,-0.7114071822511505,-0.6284955715013893,-0.5794518785251057,-0.5452500538794993,-0.5209663483110489,-0.5010473264228494,-0.48673643517167875,-0.4740922158534886,-0.4631564210981196,-0.45367521210027917,-0.4452162570210021,-0.4375555129536224,-0.4306212893175143,-0.4243128601292483,-0.41854075237552024,-0.4132299265747861,-0.40831082813565445,-0.40374856602829823,-0.39909310472103243,-0.3947763788951306},
+{-0.921176038606518,-0.7122827908049203,-0.6294238847503948,-0.580376601232274,-0.5461598581346152,-0.521856599021703,-0.5019238971640334,-0.4876026177607855,-0.4749459846739228,-0.4640018476043224,-0.4545112746122868,-0.4460419986521629,-0.43837146008718264,-0.43142843590612756,-0.4251117543130931,-0.41933178926092296,-0.4140136011769755,-0.4090875801025504,-0.40451874600239535,-0.3998559719093464,-0.39553269936004654},
+{-0.9217535293732908,-0.7131612862776819,-0.6303550977254417,-0.5813041401875125,-0.5470724016968234,-0.5227495097665269,-0.502803086826134,-0.48847136165204574,-0.4758022772180084,-0.464849781581961,-0.4553498124419093,-0.4468701686591885,-0.4391898088697417,-0.4322379595455459,-0.4259129972829214,-0.42012515074611656,-0.4147995797220574,-0.4098666147392578,-0.40529118904578354,-0.40062108681058817,-0.39629124350858547},
+{-0.9223335676140323,-0.7140426765872689,-0.6312892185824239,-0.5822345033252532,-0.5479876923441225,-0.5236450879961012,-0.5036849026801065,-0.48934267455524605,-0.47666110144336926,-0.4657002301769353,-0.45619083255451187,-0.4477007739687906,-0.4400105663648901,-0.43304986717794236,-0.4267165957571706,-0.4209208438733185,-0.4155878690035024,-0.41064793873874805,-0.4060659020642561,-0.40138845614501406,-0.39705201729748296},
+{-0.9229161605155696,-0.7149269696731153,-0.6322262553858309,-0.5831676986954335,-0.5489057380023041,-0.5245433414620493,-0.5045693523911723,-0.49021656394143065,-0.4775224655063539,-0.4665532005114983,-0.4570343419072742,-0.4485338216773016,-0.4408337396130264,-0.43386416575549447,-0.42752255662799143,-0.42171887528093066,-0.41637847591346144,-0.41143155874306103,-0.40684289169303156,-0.4021580865546639,-0.3978150266702869},
+{-0.9235013152519969,-0.7158141734846595,-0.6331662164388945,-0.5841037342129312,-0.5498265463384087,-0.525444277742281,-0.5054564432339248,-0.491093037587234,-0.4783863773682242,-0.4674086996005826,-0.4578803473186781,-0.449369318778281,-0.44165933581098216,-0.434680862264031,-0.4283308866351945,-0.4225192518260883,-0.4171714071912902,-0.41221748150110216,-0.40762216474740853,-0.40292998459563023,-0.3985802778629477},
+{-0.924089039034925,-0.716704296015223,-0.6341091097701792,-0.5850426180145405,-0.5507501253764531,-0.5263479044333508,-0.5063461827658102,-0.4919721031374138,-0.4792528452449005,-0.4682667346310154,-0.4587288557008833,-0.45020727239034386,-0.4424873619977916,-0.435499963660277,-0.42914159268730145,-0.42332198045733094,-0.4179666696700224,-0.41300571369629324,-0.40840372791399204,-0.4037041570427391,-0.3993477765325224},
+{-0.924679339102795,-0.7175973452638118,-0.635054943718842,-0.5859843580637971,-0.5516764829258136,-0.5272542291995705,-0.5072385785524602,-0.4928537682694696,-0.4801218772181528,-0.46912731292832177,-0.45957987399242484,-0.4510476896621185,-0.44331782520066554,-0.43632147698463086,-0.42995468160461314,-0.42412706800269007,-0.4187642703136589,-0.4137962618870006,-0.4091875880853877,-0.4044806104034251,-0.4001175289990897},
+{-0.9252722226879087,-0.7184933292073765,-0.6360037264475977,-0.5869289624947669,-0.5526056269977744,-0.5281632596474992,-0.5081336380471839,-0.49373804083734285,-0.4809934815039014,-0.4699904416333993,-0.4604334092668978,-0.45189057748166306,-0.4441507326810097,-0.4371454092897693,-0.43077016023562464,-0.4249345215680478,-0.41956421594113635,-0.41458913301084976,-0.4099737519663904,-0.40525935142113667,-0.40088954115981323},
+{-0.9258676971148816,-0.7193922559017665,-0.6369554662078372,-0.5878764393105484,-0.5535375654130803,-0.5290750036897407,-0.5090313688483548,-0.4946249285721933,-0.4818676662048347,-0.47085612789032893,-0.4612894683123159,-0.4527359429889657,-0.4449860914942292,-0.4379717675037682,-0.4315880355061381,-0.4257443478541063,-0.42036651347098086,-0.41538433382675066,-0.41076222642323046,-0.4060403867583773,-0.401663819020996},
+{-0.9264657696267022,-0.7202941334003299,-0.6379101712950614,-0.5888267967998218,-0.5544723061102559,-0.5299894690251676,-0.5099317785347921,-0.49551443930567984,-0.4827444395941711,-0.47172437916060517,-0.46214805838781103,-0.4535837933044604,-0.44582390885670975,-0.4388005588089072,-0.43240831443927163,-0.4265565539690215,-0.4211711697494138,-0.4161818710558691,-0.4115530184030831,-0.40682372292758373,-0.4024403688054008},
+{-0.927066447556399,-0.7211989697875651,-0.6388678500029528,-0.5897800428947448,-0.5554098571533359,-0.5309066633135444,-0.5108348747407945,-0.4964065809863314,-0.4836238098191643,-0.47259520267152766,-0.46300918633869514,-0.45443413561861234,-0.44666419200257224,-0.4396317902710507,-0.43323100405086734,-0.4273711468899819,-0.42197819179591534,-0.41698175164174245,-0.41234613467713643,-0.4076093666817542,-0.40321919655843885},
+{-0.9276697382485963,-0.7221067731206858,-0.6398285107006814,-0.590736185951755,-0.5563502265822535,-0.5318265945334133,-0.5117406650829253,-0.4973013614312549,-0.4845057852135142,-0.4734686058668558,-0.4638728592526604,-0.4552869770795951,-0.4475069481090941,-0.44046546892104743,-0.43405611109847086,-0.42818813354961094,-0.4227875865681199,-0.4177839823832983,-0.4131415821693736,-0.4083973246779351,-0.4040003084028285},
+{-0.9282756490540578,-0.7230175515287556,-0.6407921616751082,-0.5916952340303396,-0.557293422345083,-0.5327492703154348,-0.512649157283704,-0.49819878864263956,-0.4853903740017813,-0.4743445961476027,-0.46473908427014976,-0.4561423247150742,-0.4483521843562812,-0.44130160199210877,-0.4348836428557661,-0.42900752114155694,-0.4235993609891011,-0.4185885701404004,-0.4139393677796761,-0.4091876035458881,-0.4047837104467362},
+{-0.9288841873619731,-0.7239313131167364,-0.6417588112899466,-0.5926571954391875,-0.5582394525044947,-0.5336746987204606,-0.5135603588978483,-0.4990988704994379,-0.4862775844153475,-0.4752231807478893,-0.4656078684001841,-0.4570001856604904,-0.44919990798734943,-0.4421401963822973,-0.43571360623718647,-0.42982931652340994,-0.4244135219278178,-0.4193955218993324,-0.4147394984975108,-0.40998020989900397,-0.40556940883925563},
+{-0.9294953605924547,-0.7248480660855421,-0.6427284680762568,-0.5936220783864883,-0.5591883250995124,-0.5346028876415403,-0.5144742778215914,-0.5000016152125681,-0.4871674248297495,-0.47610436739932993,-0.4664792188964384,-0.45786056722090507,-0.45005012641922804,-0.4429812594848954,-0.43654600835770907,-0.43065352700841686,-0.4252300765133441,-0.4202048445959008,-0.41554198131552766,-0.410775150372956,-0.40635740994503067},
+{-0.9301091761165026,-0.7257678185419536,-0.643701140248595,-0.5945898910722462,-0.560140048230096,-0.5355338448189286,-0.5153909216774082,-0.5009070306091417,-0.48805990343089434,-0.47698816343518047,-0.46735314287707297,-0.4587234764603636,-0.45090284676462034,-0.4438247983848669,-0.4373808563223065,-0.43148015940823825,-0.42604903170922626,-0.4210165452050205,-0.41634682310086646,-0.41157243170300717,-0.4071477198667708},
+{-0.9307256414149379,-0.7266905787182623,-0.6446768364203308,-0.5955606418724528,-0.5610946300948854,-0.5364675783912389,-0.5163102983506178,-0.5018151249018956,-0.4889550285679434,-0.47787457647291376,-0.46822964742614204,-0.4595889208153494,-0.45175807651276045,-0.44467082026949356,-0.43821815726732893,-0.4323092210424875,-0.4268703945112975,-0.42183063067886906,-0.4171540309412194,-0.41237206050709574,-0.40794034492910214},
+{-0.9313447639653987,-0.7276163548112891,-0.6456555649888287,-0.5965343391258102,-0.562052078769284,-0.537404096249702,-0.5172324155964816,-0.5027259062662779,-0.48985280862234504,-0.4787636141213625,-0.4691087398778109,-0.4604569071152582,-0.4526158228723034,-0.44551933231650764,-0.4390579182027068,-0.43314071912072905,-0.42769417188947045,-0.4226471080605734,-0.41796361179649466,-0.4131740433531377,-0.40873529138707454},
+{-0.9319665512323354,-0.7285451550210382,-0.6466373344674139,-0.5975109910227729,-0.5630124024551151,-0.5383434064797257,-0.5181572813280582,-0.5036393827285792,-0.4907532518645894,-0.4796552839775359,-0.4699904273747961,-0.461327442876609,-0.4534760932251629,-0.4463703417263787,-0.4399001465985748,-0.4339746606742665,-0.4285203710719543,-0.4234659845915303,-0.4187755727739386,-0.41397838702505396,-0.40953256561624585},
+{-0.9325910107011168,-0.7294769876125429,-0.6476221533066564,-0.5984906060289177,-0.563975609238696,-0.5392855170989606,-0.5190849033224367,-0.504555562544283,-0.49165636662974066,-0.4805495936661828,-0.4708747173253869,-0.46220053534216277,-0.45433889505329716,-0.4472238558319077,-0.4407448492806907,-0.43481105294858935,-0.42934899900865275,-0.4242872671511577,-0.41958992090258107,-0.4147850981189549,-0.41033217403946765},
+{-0.9332181499758008,-0.7304118608954013,-0.6486100301740407,-0.5994731925420638,-0.5649417074200755,-0.5402304362214636,-0.5200152895781684,-0.5054744539870626,-0.4925621612865143,-0.48144655090163724,-0.47176161689412766,-0.4630761917496784,-0.45520423573043445,-0.4480798818144649,-0.4415920338256001,-0.4356499032483043,-0.43018006276588494,-0.4251109629358325,-0.420406663308313,-0.41559418336419185,-0.41113412294362206},
+{-0.9338479765499414,-0.7313497830859887,-0.6496009735551524,-0.6004587589209223,-0.5659107052561012,-0.5411781719049031,-0.5209484479846651,-0.5063960652041715,-0.4934706441549679,-0.48234616344461756,-0.47265113347702936,-0.4639544194528753,-0.45607212263621477,-0.4489384270791561,-0.44244170721003684,-0.4364912187452319,-0.4310135695345707,-0.4259370791692163,-0.42122580694467615,-0.41640564931822155,-0.4119384189102675},
+{-0.9344804980512436,-0.7322907624879917,-0.6505949920315288,-0.6014473135719527,-0.5668826108558278,-0.542128732117817,-0.5218843864181508,-0.5073204045702369,-0.4943818235587969,-0.48324843898308245,-0.47354327427183307,-0.46483522562357393,-0.456942563215307,-0.44979949878779735,-0.4432938768295571,-0.4373350067476167,-0.43184952630917905,-0.42676562284896136,-0.42204735902032553,-0.41721950281043974,-0.4127450683558891},
+{-0.9351157220132791,-0.733234807478766,-0.6515920942888442,-0.6024388650798755,-0.5678574326780108,-0.5430821254117291,-0.5228231131113716,-0.5082474804898993,-0.4952957079558473,-0.48415338550967135,-0.47443804680096946,-0.4657186177882977,-0.457815565184319,-0.45066310430638623,-0.4441485499655755,-0.4381812746523792,-0.4326879403724888,-0.4275966013760808,-0.42287132667388505,-0.4180357505047141,-0.4135540777811002},
+{-0.9357536560657991,-0.7341819263660909,-0.652592288908636,-0.6034334217893047,-0.568835178865811,-0.5440383597619984,-0.5237646359337305,-0.5091773012200065,-0.49621230566754093,-0.48506101068142016,-0.4753354584022418,-0.4666046032007216,-0.458691135736899,-0.4515292509613573,-0.4450057340231979,-0.4390300296213354,-0.43352881876398897,-0.42843002190193147,-0.42369771697030956,-0.4188543990248945,-0.4143654539616364},
+{-0.9363943078947159,-0.7351321275882583,-0.6535955846252364,-0.6044309923004221,-0.5698158578602488,-0.5449974434054639,-0.5247089630197479,-0.5101098751897553,-0.49713162506941444,-0.48597132245686225,-0.4762355165375993,-0.4674931893637222,-0.459569282699249,-0.4523979460745977,-0.4458654363043024,-0.43988127914553843,-0.4343721686977915,-0.4292658917211156,-0.4245265372869653,-0.41967545524448724,-0.41517920328078617},
+{-0.9370376851327364,-0.7360854194257627,-0.6546019900624742,-0.605431585099268,-0.5707994780404988,-0.5459593846399002,-0.525656102423909,-0.5110452108228856,-0.4980536745997597,-0.4868843287749769,-0.4771382285407526,-0.46838438378563296,-0.46045001350830717,-0.45326919713852476,-0.4467276641089484,-0.4407350306078115,-0.435217997455311,-0.4301042180386503,-0.4253577944969038,-0.4204989256754743,-0.41599533253474874},
+{-0.9376837954662278,-0.7370418103091652,-0.6556115140033398,-0.6064352087887528,-0.5717860475992893,-0.5469241915329803,-0.5266060622670921,-0.5119833165981618,-0.49897846247358757,-0.48780003754154677,-0.47804360189229556,-0.4692781937728796,-0.4613333357456213,-0.4541430113868046,-0.4475924249172749,-0.44159129145509723,-0.4360663121260586,-0.4309450082528201,-0.4261914959997739,-0.4213248173359716,-0.41681384846197034},
+{-0.9383326465933806,-0.7380013087213229,-0.6566241650416487,-0.6074418719003916,-0.5727755751122459,-0.5478918727058044,-0.527558850780224,-0.512924200949783,-0.49990599725424545,-0.4887184568246994,-0.47895164412057056,-0.47017462687335865,-0.4622192570277548,-0.4550193963068523,-0.44845972614939456,-0.442450069012466,-0.4369171200987694,-0.4317882695709159,-0.4270276489705793,-0.42215313687302114,-0.41763475773404934},
+{-0.938984246279233,-0.7389639230427747,-0.6576399521509302,-0.6084515830420969,-0.5737680688453111,-0.548862436392028,-0.5285144761028278,-0.5138678724229067,-0.5008362872704311,-0.4896395944683718,-0.479862362719814,-0.4710736907286446,-0.4631077850917791,-0.4558983593346966,-0.4493295752913582,-0.4433113708369092,-0.43777042854480896,-0.4326340095581145,-0.42786626053930377,-0.4229838909418504,-0.41845806737501334},
+{-0.9396386022503975,-0.7399296617663822,-0.6586588840118566,-0.6094643508859008,-0.5747635373404592,-0.5498358909317176,-0.5294729464967531,-0.5148143396240812,-0.5017693409331514,-0.4905634587771601,-0.480775765245653,-0.4719753928393402,-0.46399892760337025,-0.45677990780677646,-0.45020197983058097,-0.44417520439219516,-0.4386262447965237,-0.43348223551720366,-0.4287073380455695,-0.42381708646462357,-0.41928378401053124},
+{-0.940295722273504,-0.7408985333754572,-0.6596809695079173,-0.6104801840733671,-0.5757619890837304,-0.5508122447281494,-0.5304342702429494,-0.5157636109397572,-0.502705166645228,-0.49149005768549614,-0.4816918590759087,-0.47287974098298946,-0.46489269213543594,-0.457664049392406,-0.45107694728358183,-0.44504157714300163,-0.43948457625583615,-0.43433295477825595,-0.4295508887339565,-0.42465273025527495,-0.4201119148892758},
+{-0.9409556141388293,-0.7418705463678634,-0.6607062174107341,-0.611499091303358,-0.5767634325416111,-0.5517915061136591,-0.5313984555896241,-0.5167156951401921,-0.5036437729067984,-0.49241939936337076,-0.48261065202495956,-0.4737867426124467,-0.46578908656692875,-0.4585507914393929,-0.4519544850923012,-0.44591049677819683,-0.44034543012821814,-0.4351861748718875,-0.43039691990406936,-0.4254908290995445,-0.4209424667683379},
+{-0.9416182857212334,-0.7428457092810277,-0.66173463662426,-0.6125210812442674,-0.5777678762137839,-0.5527736837589146,-0.5323655108581988,-0.5176706007919165,-0.5045851680060878,-0.4933514918648143,-0.4835321513846793,-0.47469640555164005,-0.4666881185012244,-0.4594401413646665,-0.45283460093423855,-0.44678197067560177,-0.4412088138456056,-0.4360419032473146,-0.4312454387359139,-0.42633138987866914,-0.42177544669948475},
+{-0.9422837448209975,-0.7438240306587431,-0.6627662361197508,-0.6135461626790857,-0.578775328568554,-0.553758786020353,-0.5333354444819633,-0.5186283364873816,-0.5055293604650615,-0.49428634352852896,-0.484456365006281,-0.4756087375972129,-0.46758979580499727,-0.4603321069866979,-0.45371730235319774,-0.44765600655273374,-0.44207473481901616,-0.43690014721869375,-0.4320964526291391,-0.42717441940067147,-0.4226108619709521},
+{-0.9429519992715996,-0.7448055190343439,-0.6638010246738304,-0.6145743442857565,-0.57978579831979,-0.554746821378103,-0.5343082648410018,-0.5195889109545533,-0.5064763587379275,-0.49522396252677936,-0.4853833004626722,-0.47652374658537155,-0.46849412637584464,-0.4612266956378335,-0.45460259707851947,-0.44853261194657534,-0.44294320047583824,-0.4377609145176393,-0.4329499689806653,-0.42801992471368067,-0.4234487196745249},
+{-0.943623057015202,-0.7457901830434821,-0.664839011375534,-0.6156056349987011,-0.5807992940026452,-0.5557377984123377,-0.5352839802794733,-0.5205523328640993,-0.507426171300267,-0.49616435711141094,-0.48631296519943135,-0.47744144032321856,-0.46940111800358864,-0.4621239148627865,-0.4554904925162191,-0.44941179446777824,-0.4438142183967102,-0.43862421260246265,-0.4338059949509443,-0.42886791255386925,-0.4242890268874362},
+{-0.9442969259362144,-0.7467780312458672,-0.6658802051256316,-0.6166400435290598,-0.5818158242182108,-0.5567317256527531,-0.5362625994866903,-0.5215186108362104,-0.5083788065826411,-0.4971075355610992,-0.48724536710915345,-0.4783618266128542,-0.4703107783384439,-0.46302377244091986,-0.45638099651478115,-0.4502935619152595,-0.4446877958580444,-0.4394900489496649,-0.43466453817245565,-0.42971839000711043,-0.4251317910780017},
+{-0.9449736139604283,-0.7477690722666921,-0.6669246149431274,-0.6176775786866529,-0.5828353976185099,-0.5577286117204494,-0.5372441306367364,-0.5224877536461463,-0.5093342730060613,-0.4980535060690272,-0.4881805136915318,-0.4792849134437347,-0.4712231154762776,-0.46392627577643,-0.45727411667667184,-0.4511779216859395,-0.4455639404982321,-0.4403584312640305,-0.4355256058352097,-0.43057136387324135,-0.42597701933800636},
+{-0.945653129088214,-0.7487633148084569,-0.6679722499684431,-0.6187182494750232,-0.5838580228628416,-0.5587284652920061,-0.538228582496231,-0.5234597700600716,-0.5102925792784845,-0.49900227717989765,-0.489118412789594,-0.4802107088617049,-0.4721381373165059,-0.46483143265322724,-0.45816986084309974,-0.4520648817210713,-0.44644265986153187,-0.44122936700796345,-0.4363892053861491,-0.43142684128997644,-0.42682471942544},
+{-0.9463354792294467,-0.7497607674986284,-0.6690231190659688,-0.619762064616225,-0.5848837085886771,-0.5597312948375475,-0.5392159635593998,-0.5244346687877623,-0.5112537336731293,-0.49995385709644324,-0.49005907213177125,-0.48113922084939986,-0.4730558517258032,-0.465739250653769,-0.45906823661744056,-0.45295444950033925,-0.4473239614717386,-0.4421028638430471,-0.4372553443022298,-0.4322848290394177,-0.4276748983252219},
+{-0.9470206724363379,-0.7507614390028721,-0.6700772314516144,-0.6208090331492713,-0.5859124636135675,-0.5607371091969071,-0.5402062824182394,-0.5254124585521822,-0.5122177448306502,-0.5009082542792385,-0.4910024992309445,-0.48207045764047507,-0.4739762667413743,-0.4666497375314975,-0.45996925182453197,-0.45384663291360994,-0.4482078530063518,-0.44297892946588036,-0.4381240300949685,-0.43314533440207015,-0.4285275637844279},
+{-0.947708716716761,-0.7517653380969023,-0.6711345962262385,-0.6218591640167688,-0.5869442966154566,-0.5617459169507129,-0.5411995476983975,-0.526393148223633,-0.5131846212866549,-0.5018654772193258,-0.4919487020115412,-0.48300442704203306,-0.4748993902589973,-0.46756290084431384,-0.46087291420508336,-0.4547414396051863,-0.44909434205965226,-0.4438575713948012,-0.4389952701230868,-0.43400836430009804,-0.42938272329547544},
+{-0.9483996201381615,-0.7527724734254662,-0.6721952224684173,-0.6229124661535934,-0.5879792164810169,-0.5627577268846835,-0.5421957681091953,-0.5273767465509991,-0.5141543715558328,-0.5028255342731427,-0.4928976882497409,-0.48394113738368105,-0.47582523034361657,-0.4684787485148263,-0.4617792316912528,-0.45563887731714203,-0.44998343637007565,-0.44473879752649736,-0.4398690719035585,-0.434873925913962,-0.43024038436351475},
+{-0.9490933906949977,-0.753782853787925,-0.6732591193904227,-0.623968948527363,-0.5890172318295299,-0.5637725477772619,-0.5431949522258037,-0.5283632623209087,-0.5151270042597389,-0.5037884338216827,-0.4938494657844785,-0.4848805969022578,-0.47675379504380544,-0.4693972882146227,-0.462688211925979,-0.4565389538161071,-0.45087514364377057,-0.4456226153406533,-0.44074544307977703,-0.4357420262795131,-0.43110055481201925},
+{-0.9497900365861369,-0.7547964879795472,-0.6743262962372683,-0.6250286202657662,-0.5900583516072402,-0.564790388270012,-0.544197108861681,-0.5293527043822905,-0.5161025279658134,-0.5047541846438435,-0.4948040423641942,-0.48582281376002356,-0.4776850924436076,-0.47031852768395765,-0.46359986306879364,-0.4574416769769414,-0.45176947152367575,-0.44650903266619935,-0.44162439106275997,-0.4366126725567483,-0.43196324210202874},
+{-0.950489565867656,-0.7558133847483077,-0.675396762186665,-0.6260914903632511,-0.5911025847035489,-0.5658112573737526,-0.5452022467816278,-0.5303450814521966,-0.517080951274238,-0.5057227950323977,-0.49576142588421135,-0.48676779633024125,-0.4786191305911416,-0.47124247483088766,-0.4645141927499026,-0.45834705449942703,-0.45266642791330014,-0.44739805728977444,-0.4425059234231412,-0.4374858719625081,-0.43282845430394445},
+{-0.9511919866788503,-0.7568335528844727,-0.6764705264185977,-0.6271575678883892,-0.5921499398832566,-0.5668351635763429,-0.5462103746676803,-0.5313404024550437,-0.5180622828129344,-0.506694273555695,-0.4967216240847847,-0.48771555265102506,-0.479555917509515,-0.4721691374011243,-0.4654312088964616,-0.45925509414155385,-0.45356602047559136,-0.4482896967169836,-0.44339004758830924,-0.43836163175774345,-0.43369619914346913},
+{-0.9518973072074459,-0.7578570013261015,-0.6775475983331489,-0.6282268620261675,-0.5932004261521797,-0.5678621160891453,-0.5472215014024187,-0.5323386762543123,-0.5190465312575725,-0.5076686289571626,-0.4976846450267658,-0.4886660913684864,-0.48049546152287803,-0.47309852337002667,-0.46635091964981257,-0.460165803903692,-0.45446825717044703,-0.44918395902504926,-0.4442767712616842,-0.4392399592243237,-0.4345664844217936},
+{-0.9526055356286633,-0.758883738802524,-0.6786279871766965,-0.6292993818442483,-0.5942540523319622,-0.5688921236164788,-0.5482356357561002,-0.533339911648909,-0.5200337051828683,-0.5086458696914633,-0.49865049659911165,-0.48961942061487207,-0.481437770647517,-0.4740306405569754,-0.4672733327606693,-0.4610791914328729,-0.4553731457790491,-0.4500808518278063,-0.4451661020134452,-0.44012086167595044,-0.43543931828344284},
+{-0.9533166801720654,-0.7599137743322899,-0.6797117022779275,-0.6303751365044263,-0.5953108275080012,-0.5699251950381949,-0.5492527866408636,-0.5343441174827603,-0.5210238134086467,-0.5096260043901566,-0.49961918679946393,-0.4905755489758121,-0.482382853116178,-0.4749654968509276,-0.4681984563844708,-0.46199526475265884,-0.45628069426629736,-0.45098038304331567,-0.4460580475156348,-0.4410043464399678,-0.43631470856917076},
+{-0.9540307490326541,-0.7609471166947515,-0.6807987530391983,-0.631454135275817,-0.5963707607224933,-0.5709613393937616,-0.5502729629824898,-0.5353513026252585,-0.5220168645178092,-0.5106090417489213,-0.5005907234267397,-0.4915344848946006,-0.48333071718661813,-0.4759031003623022,-0.46912629838425346,-0.4629140316706071,-0.45719091061482686,-0.45188256032815843,-0.4469526152142862,-0.4418904210265282,-0.4371926634448755},
+{-0.9547477504872859,-0.7619837748525242,-0.6818891488333065,-0.6325363873393144,-0.5974338607502432,-0.5720005653893168,-0.5512961735530553,-0.5363614759235134,-0.5230128672747014,-0.5115949904043191,-0.5015651146836717,-0.49249623660398356,-0.484281370987901,-0.476843458906842,-0.47005686693091775,-0.46383550013615604,-0.4581038026308306,-0.452787391599486,-0.4478498129019499,-0.44277909296170037,-0.43807319101870235},
+{-0.9554676928134995,-0.7630237577545813,-0.6829828989953057,-0.6336219019462987,-0.5985001369153906,-0.573042882239406,-0.5523224275311804,-0.5373746462414601,-0.5240118304182033,-0.5125838591206957,-0.5025423685524402,-0.49346081271232833,-0.48523482277596486,-0.47778658060269663,-0.47099017004347843,-0.4647596779691412,-0.45901937834742057,-0.45369488482538145,-0.4487496480187474,-0.44367036958919925,-0.4389562993646905},
+{-0.9561905843313525,-0.7640670743944611,-0.6840800131026299,-0.6347106883426932,-0.5995695980750497,-0.5740882989125566,-0.5533517335306897,-0.5383908225485357,-0.525013762709932,-0.5135756565155134,-0.503522493067976,-0.4944282218043554,-0.4861910808558605,-0.4787324735129914,-0.4719262158037054,-0.4656865731635662,-0.45993764585682584,-0.4546050476678829,-0.44965212831903045,-0.4445642585860696,-0.4398419970075338},
+{-0.956916433379547,-0.7651137337074942,-0.6851805005344431,-0.635802755909026,-0.6006422535019738,-0.5751368242927128,-0.5543841008011441,-0.5394100135627014,-0.5260186729037741,-0.5145703913922262,-0.504505496429374,-0.49539847238656876,-0.48715015349444,-0.47968114560580943,-0.4728650123715852,-0.46661619367660023,-0.46085861304391074,-0.4555178881878419,-0.450557261287031,-0.4454607675997977,-0.44073029173523537},
+{-0.9576452482683635,-0.7661637447586145,-0.686284370885005,-0.6368981139780772,-0.6017181123102091,-0.5761884676448972,-0.5554195383265323,-0.5404322282374778,-0.5270265698718504,-0.5155680725697493,-0.5054913867525102,-0.49637157304459834,-0.48811204905359773,-0.4806326052089389,-0.4738065679252941,-0.46754854755317865,-0.4617822881828033,-0.4564334141959989,-0.4514650547180281,-0.4463599042583155,-0.44162119222619367},
+{-0.9583770374022151,-0.7672171165636428,-0.687391633617608,-0.6379967718958142,-0.6027971836210781,-0.5772432377857513,-0.5564580550671963,-0.5414574754950081,-0.5280374625149307,-0.516568708790146,-0.5064801722337506,-0.4973475321025944,-0.4890767757742651,-0.48158686026454234,-0.47475089064300846,-0.4684836427090886,-0.46270867925295533,-0.4573516336859029,-0.4523755161817462,-0.44726167642966175,-0.4425147067167927},
+{-0.9591118091925637,-0.7682738581875128,-0.6885022982987721,-0.6390987390041118,-0.6038794766986939,-0.5783011440494192,-0.5574996601035309,-0.5424857642378811,-0.52905135945457,-0.5175723087354527,-0.5074718610362652,-0.49832635844541073,-0.49004434212201886,-0.4825439189894496,-0.47569798869017177,-0.46942148713333154,-0.4636377944107153,-0.45827255444783077,-0.4532886533843339,-0.44816609174358746,-0.4434108434979862},
+{-0.9598495720333631,-0.7693339787056175,-0.6896163745482227,-0.6402040249217862,-0.604965000629818,-0.5793621954790069,-0.558544362459088,-0.5435171032117978,-0.5300682697629782,-0.5185788815260821,-0.5084664615128531,-0.4993080605904652,-0.49101475630232017,-0.48350378947361605,-0.4766478703622852,-0.47036208895042364,-0.46456964177286864,-0.4591961846317645,-0.4542044739418998,-0.4490731580899592,-0.44430961125635804},
+{-0.9605903343760929,-0.7703974872151775,-0.690733871948396,-0.6413126388379169,-0.6060537648395439,-0.5804264011635496,-0.5595921712692871,-0.5445515014575903,-0.5310882023472914,-0.5195884358754483,-0.5094639820117663,-0.5002926472589024,-0.49198802693172183,-0.484466480246283,-0.4776005439621258,-0.4713054562234902,-0.4655042296190004,-0.4601225321812308,-0.4551229855769634,-0.44998288334136305,-0.44521101812097186},
+{-0.9613341047302129,-0.7714643928661644,-0.6918548002299758,-0.6424245904199779,-0.6071457786038081,-0.5814937704321892,-0.5606430956413533,-0.5455889678241874,-0.5321111660414317,-0.5206009807257033,-0.5104644307270974,-0.5012801270704585,-0.49296416229799433,-0.48543199930873016,-0.4785560176155741,-0.4722515970324821,-0.466441566120011,-0.4610516050943261,-0.45604419605115254,-0.4508952753858466,-0.44611507286845153},
+{-0.9620808915756243,-0.7725347048249205,-0.6929791689631202,-0.643539889153999,-0.6082410512362912,-0.5825643123125701,-0.5616971447611832,-0.5466295112119042,-0.5331371698107432,-0.5216165250130871,-0.5114678162385644,-0.5022705086680617,-0.49394317088217576,-0.4864003550706002,-0.47951429987051597,-0.47320051964288723,-0.467381659404964,-0.46198341130366316,-0.45696811300786067,-0.45181034231336525,-0.4470217838688768},
+{-0.9628307034079171,-0.7736084322204988,-0.6941069878853341,-0.6446585445564779,-0.6093395920634066,-0.5836380362197815,-0.5627543276455071,-0.5476731404642123,-0.5341662225905566,-0.5226350775201354,-0.5124741468221146,-0.5032638007578498,-0.4949250610256968,-0.48737155574326607,-0.48047539902063363,-0.4741522319282012,-0.468324517799374,-0.46291795901470323,-0.4578947442159915,-0.452728091928293,-0.44793115959419083},
+{-0.9635835488095381,-0.7746855843479352,-0.6952382668141581,-0.6457805663076215,-0.6104414104152056,-0.5847149513788281,-0.5638146535816304,-0.54871986465605,-0.5351983335262958,-0.523656647421376,-0.5134834310870247,-0.5042600121064424,-0.495909841329194,-0.48834560957811846,-0.4814393233828014,-0.47510674226487026,-0.4692701496705922,-0.4638552561364122,-0.4588240974708242,-0.4536485325097601,-0.44884320882647444},
+{-0.9643394363308744,-0.7757661703312806,-0.6963730153770484,-0.646905963807967,-0.611546515813643,-0.5857950668860212,-0.5648781316485838,-0.5497696925335731,-0.5362335114682537,-0.524681243660325,-0.5144956774902312,-0.5052591514195228,-0.49689752020412925,-0.4893225252112643,-0.4824060815590201,-0.4760640586646332,-0.47021856313858734,-0.4647953108951697,-0.45975618053580547,-0.4545716720285782,-0.4497579399840106},
+{-0.9650983745541453,-0.7768501995005863,-0.6975112435115989,-0.6480347468427681,-0.612654917691998,-0.5868783923697265,-0.5659447711791472,-0.5508226330903199,-0.5372717656214263,-0.5257088752514392,-0.515510894556428,-0.5062612276037726,-0.4978881063875633,-0.490302310941388,-0.4833756818252368,-0.4770241896439984,-0.471169766768071,-0.46573813140548737,-0.46069100132535823,-0.45549751850285247,-0.45067536177339207},
+{-0.9658603721354666,-0.777937681106323,-0.698652960954405,-0.6491669250995074,-0.6137666255590375,-0.5879649369308027,-0.5670145812905503,-0.551878695231153,-0.5383131049461554,-0.5267395512723851,-0.5165290909617397,-0.507266249143413,-0.4988816081568075,-0.4912849750571695,-0.48434813271342136,-0.47798714334476244,-0.4721237686844688,-0.4666837257464067,-0.46162856754926906,-0.456426080426354,-0.4515954828775648},
+{-0.9666254376959387,-0.7790286244830895,-0.6997981775484732,-0.6503025082124623,-0.6148816489658202,-0.5890547100980257,-0.5680875713192108,-0.5529378878723037,-0.5393575386465272,-0.5277732808181099,-0.5175502753108958,-0.5082742250874617,-0.499878034143876,-0.49227052622882184,-0.48532344282102713,-0.4789529280833449,-0.47308057754980837,-0.46763210206245276,-0.4625688873547915,-0.4573573657480665,-0.4525183118894347},
+{-0.967393579893951,-0.7801230389231932,-0.7009469032000197,-0.6514415059123166,-0.6159999972560399,-0.5901477211841666,-0.5691637503232414,-0.554000219946829,-0.5404050757251753,-0.5288100729198959,-0.5185744563295884,-0.5092851641097695,-0.5008773930067036,-0.4932589728050516,-0.4863016204553787,-0.479921552050655,-0.47404020146859693,-0.4685832686009235,-0.46351196843352227,-0.45829138289809634,-0.4534438575774402},
+{-0.9681648074392797,-0.781220933853092,-0.7020991478725591,-0.6525839279756838,-0.617121680294531,-0.5912439797129991,-0.5702431277850337,-0.5550657004851018,-0.5414557254675856,-0.5298499367781915,-0.5196016427521499,-0.5102990750920071,-0.50187969331364,-0.4942503233478419,-0.4872826745304337,-0.4808930237832101,-0.4750026491128665,-0.4695372333144405,-0.4644578190263928,-0.45922813991910516,-0.4543721284644562},
+{-0.968939129066257,-0.7823223186155701,-0.7032549214627579,-0.6537297842382941,-0.6182467075868772,-0.5923434951987474,-0.5713257129550584,-0.5561343382496489,-0.5425094969136808,-0.5308928816498337,-0.5206318432110493,-0.5113159669590459,-0.502884943628942,-0.495244586485569,-0.4882666132943996,-0.4818673516765557,-0.47596792876993277,-0.4704940048222852,-0.4654064470269077,-0.4601676454240078,-0.45530313360450236},
+{-0.9697165534728356,-0.7834272026175313,-0.7044142339259452,-0.6548790844317409,-0.6193750887669012,-0.5934462768027515,-0.5724115150374018,-0.5572061423345076,-0.5435663994094284,-0.5319389166138535,-0.5216650666143323,-0.5123358484988785,-0.5038931527333261,-0.49624177077657805,-0.48925344557574135,-0.48284454419808753,-0.4769360489963219,-0.4714535910034101,-0.4663578605341172,-0.461109907608261,-0.45623688170235255},
+{-0.9704970894817961,-0.7845355953163562,-0.7055770953156753,-0.656031838506351,-0.6205068335893884,-0.5945523345176298,-0.5735005433434708,-0.5582811216545451,-0.5446264421861997,-0.5329880508802489,-0.5227013217308922,-0.5133587285840804,-0.5049043291810449,-0.4972418847382869,-0.49024317990733834,-0.4838246096151124,-0.4779070182639771,-0.4724160001942437,-0.4673120675533937,-0.4620549348210261,-0.4571733815664629},
+{-0.9712807458242878,-0.7856475061871606,-0.7067435156022839,-0.657188056279665,-0.6216419516204041,-0.5956616775770271,-0.5745928072901734,-0.5593592851901121,-0.5456896343589506,-0.5340402937340514,-0.5237406174192074,-0.514384616037205,-0.5059184816764173,-0.49824493705636996,-0.4912358249512181,-0.48480755652963126,-0.4788808450630313,-0.473381240622075,-0.46826907638933335,-0.46300273575434403,-0.45811264212625247},
+{-0.9720675313735683,-0.7867629447569016,-0.7079135049134493,-0.6583477476692678,-0.6227804527775334,-0.5967743156884353,-0.5756883162521262,-0.5604406419156476,-0.5467559854728279,-0.535095654514862,-0.524782962718291,-0.5154135199418306,-0.5069356189242171,-0.49925093641741114,-0.49223138950310386,-0.48579339353636897,-0.4798575379700196,-0.47434932062242297,-0.4692288953146999,-0.4639533187228153,-0.4590546723393345},
+{-0.9728574549405948,-0.7878819205061518,-0.7090870733245538,-0.6595109226441309,-0.6239223468373893,-0.5978902585115975,-0.5767870795070849,-0.5615252008215066,-0.5478255045973128,-0.5361541423599192,-0.5258283662678878,-0.516445449316052,-0.5079557497047062,-0.5002598917026262,-0.4932298820986034,-0.4867821292573353,-0.4808371055369207,-0.47532024835982156,-0.4701915324476431,-0.4649066922120255,-0.45999948121516354},
+{-0.9736505254347776,-0.7890044430264425,-0.7102642309346265,-0.6606775912287048,-0.6250676435370224,-0.599009515517082,-0.5778891064451273,-0.562612970866212,-0.5488982011670487,-0.5372157668039108,-0.5268768372193335,-0.5174804128437245,-0.508978882802694,-0.5012718113384835,-0.4942313116043806,-0.4877737722836173,-0.4818195563066183,-0.4762940321515998,-0.47115699626556307,-0.46586286509864294,-0.46094707766678766},
+{-0.97444675166048,-0.7901305219079404,-0.7114449878663436,-0.6618477632964641,-0.6262163528517704,-0.6001320965501691,-0.5789944065695636,-0.5637039610569445,-0.5499740846680652,-0.5382805370109054,-0.5279283844765814,-0.5185184196443515,-0.5100050267283223,-0.5022867043226142,-0.49523568658878503,-0.48876833109261497,-0.4828048988520095,-0.47727068023505126,-0.47212529501121026,-0.4668218457873081,-0.4618974709710528},
+{-0.9752461426437549,-0.7912601667412673,-0.7126293543865359,-0.6630214490492108,-0.6273684844823038,-0.6012580112892465,-0.5801029891467806,-0.5647981804390838,-0.5510531643353715,-0.5393484623959921,-0.5289830170208916,-0.5195594787983282,-0.5110341905447058,-0.5033045793288693,-0.49624301599851606,-0.48976581454462575,-0.4837931418524022,-0.47825020090840553,-0.47309643704829796,-0.46778364298370434,-0.4628506703866151},
+{-0.9760487072694559,-0.7923933871743429,-0.7138173406260648,-0.6641986584854749,-0.6285240485512986,-0.6023872694577221,-0.5812148636687198,-0.5658956380307245,-0.5521354497172979,-0.5404195524547504,-0.5300407439676746,-0.520603599316928,-0.5120663829675323,-0.504325445239374,-0.497253308625659,-0.49076623123528407,-0.4847842938906979,-0.4792326024517024,-0.47407043099519797,-0.4687482655963322,-0.46380668465462804},
+{-0.9768544545199802,-0.7935301929619527,-0.7150089569545344,-0.6653794017238397,-0.6296830549881633,-0.6035198809181566,-0.5823300397046296,-0.5669963428754272,-0.5532209502730439,-0.5414938165927197,-0.5311015742454401,-0.5216507903242018,-0.5131016128243573,-0.5053493109398914,-0.49826657312951284,-0.4917695901276602,-0.485778363650752,-0.48021789328231534,-0.4750472852565508,-0.4697157221735324,-0.4647655232092802},
+{-0.9776633933558969,-0.7946705937288243,-0.7162042135046249,-0.6665636888728841,-0.6308455137268538,-0.604655855238434,-0.5834485266032061,-0.5681003039730967,-0.5543096755418446,-0.542571264117214,-0.5321655170309896,-0.5227010607250122,-0.5141398889545599,-0.5063761852698008,-0.4992828184394966,-0.4927758998828722,-0.48677535967726726,-0.4812060815611403,-0.4760270082861098,-0.47068602181388997,-0.46572719524465356},
+{-0.9784755328917072,-0.7958145992251957,-0.7174031206245672,-0.6677515301339554,-0.6320114347781782,-0.6057952024784754,-0.5845703338090971,-0.5692075304646096,-0.5554016348869482,-0.5436519046779722,-0.5332325813160423,-0.5237544197379975,-0.5151812201893335,-0.5074060771430595,-0.5003020533431481,-0.4937851692993718,-0.4877752907923423,-0.48219717565461906,-0.4770096087768252,-0.47165917314032413,-0.4666917098011254},
+{-0.9792908820909361,-0.7969622192663337,-0.7186056887017003,-0.6689429358061716,-0.6331808281988742,-0.6069379324972033,-0.5856954709192905,-0.5703180313998928,-0.5564968380044775,-0.5447357476068646,-0.5343027762910424,-0.5248108764653807,-0.5162256153762428,-0.5084389954390645,-0.5013242866152723,-0.4947974072492798,-0.4887781655897925,-0.48319118391191296,-0.47799509512424265,-0.47263518531235604,-0.4676590762965134},
+{-0.9801094500528507,-0.7981134636561364,-0.7198119280260471,-0.6701379159017051,-0.6343537041270793,-0.6080840550166613,-0.5868239474698385,-0.5714318158175047,-0.5575952944705023,-0.5458228025340759,-0.5353761110454798,-0.5258704402021976,-0.5172730835811308,-0.5094749492964183,-0.5023495273517256,-0.49581262256742775,-0.4897839929253678,-0.484188114749486,-0.47898347630962235,-0.4736140672239344,-0.46862930376846634},
+{-0.9809312458644399,-0.7992683421543916,-0.7210218491322848,-0.6713364808392726,-0.6355300727464055,-0.6092335802245543,-0.587955772926307,-0.5725488929188032,-0.5586970138506331,-0.5469130790115742,-0.5364525947625225,-0.5269331200843226,-0.5183236338079951,-0.5105139476354452,-0.5033777842527343,-0.49683082449064386,-0.4907927815474977,-0.4851879765474223,-0.47997476088676194,-0.4745958278717808,-0.46960240135922504},
+{-0.981756278666353,-0.8004268647378012,-0.7222354622886087,-0.6725386409307248,-0.6367099441458777,-0.6103865178115484,-0.5890909570512122,-0.5736692716718608,-0.5598020058287148,-0.5480065865649522,-0.5375322366635373,-0.5279989252630912,-0.519377274755243,-0.5115559994728756,-0.5044090662631788,-0.49785202166731324,-0.49180454001452745,-0.4861907775011787,-0.48096895749131363,-0.4755804763717606,-0.4705783782483195},
+{-0.9825845575926451,-0.8015890412139015,-0.7234527779542077,-0.6737444064278861,-0.6378933284895538,-0.6115428780167349,-0.5902295091609631,-0.574792961379444,-0.5609102799812717,-0.5491033345897449,-0.5386150458225529,-0.5290678650681002,-0.5204340154214151,-0.512601113888195,-0.505443382253361,-0.4988762230723296,-0.49281927733500197,-0.48719652627096366,-0.48196607492081966,-0.47656802174697077,-0.4715572434670321},
+{-0.9834160918592261,-0.8027548816262424,-0.7246738067765364,-0.6749537878044976,-0.6390802360419912,-0.6127026707290497,-0.5913714390744644,-0.5759199711610563,-0.562021846177231,-0.5502033329721598,-0.5397010315155057,-0.5301399487188974,-0.5214938650333352,-0.5136492998426547,-0.5064807413473318,-0.49990343795525405,-0.49383700226917426,-0.4882052311249936,-0.4829661219682748,-0.47755847330790857,-0.4725390060157224},
+{-0.9842508905924205,-0.803924395838294,-0.7258985590942757,-0.676166795278732,-0.6402706770304576,-0.6138659060216014,-0.5925167563295872,-0.5770503100288806,-0.563136714059965,-0.5513065911063677,-0.5407902031292906,-0.5312151856351193,-0.5225568324458436,-0.5147005666503901,-0.5075211523753751,-0.5009336751154478,-0.49485772356365487,-0.48921690061524714,-0.48396910748215305,-0.478551840063119,-0.4735236747565068},
+{-0.9850889630918118,-0.8050975939286218,-0.7271270456117236,-0.6773834394352889,-0.6414646618222832,-0.6150325940593575,-0.5936654706652007,-0.5781839873661738,-0.5642548933597027,-0.5524131187139574,-0.5418825696815475,-0.532293585246407,-0.5236229268630268,-0.5157549233490499,-0.5085646244197051,-0.5019669440262078,-0.4958814502269888,-0.49023154338556196,-0.48497504059560015,-0.47954813130672846,-0.474511258750681},
+{-0.9859303186040052,-0.8062744858975748,-0.7283592768139897,-0.6786037307197148,-0.6426622006797515,-0.6162027448285698,-0.5948175917797016,-0.5793210122797063,-0.5653763938939846,-0.5535229254592196,-0.5429781405218819,-0.5333751566749925,-0.5246921571178973,-0.5168123791318067,-0.5096111663842748,-0.5030032534650672,-0.49690819096940686,-0.49124916774144367,-0.4859839297760118,-0.4805473564138083,-0.4755017666184358},
+{-0.9867749663937957,-0.8074550818373609,-0.7295952633162415,-0.6798276795748279,-0.6438633040520472,-0.6173763686656457,-0.5959731293569348,-0.5804613939235423,-0.5665012255399233,-0.5546360210264538,-0.5440769250253652,-0.5344599095824378,-0.5257645324936675,-0.5178729432482214,-0.5106607873858593,-0.5040426127025057,-0.49793795489949844,-0.4922697824285933,-0.48699578432842827,-0.4815495244656631,-0.47649520704544557},
+{-0.9876229157271155,-0.8086393918556496,-0.7308350157577479,-0.6810552965152965,-0.6450679821173253,-0.6185534755804838,-0.5971320930757429,-0.5816051416099981,-0.5676293981523486,-0.5557524148862285,-0.5451789325916252,-0.5355478532392226,-0.5268400621107503,-0.5189366248896476,-0.51171349642118,-0.5050850308125518,-0.49897075075386965,-0.4932933961708841,-0.4880106131085995,-0.4825546448801106,-0.4774915887437601},
+{-0.9884741760185989,-0.8098274260860308,-0.7320785448951028,-0.6822865921890298,-0.6462762455344091,-0.6197340759090366,-0.5982944928914549,-0.5827522645404315,-0.5687609214874101,-0.5568721169047421,-0.5462841723638121,-0.5366389972514298,-0.5279187550177085,-0.5200034332783616,-0.5127693026915949,-0.5061305171620916,-0.5000065876402005,-0.49432001732657227,-0.4890284251941921,-0.48356272689125035,-0.47849092013620975},
+{-0.9893287565928404,-0.8110191947603198,-0.7333258613580256,-0.6835215770902323,-0.6474881047133749,-0.6209181799576982,-0.5994603385306618,-0.5839027720244303,-0.5698958055581897,-0.5579951367708418,-0.5473926539289096,-0.5377333512087716,-0.5290006205150348,-0.5210733778458234,-0.5138282151547173,-0.5071790808924561,-0.5010454744578965,-0.49534965510065376,-0.4900492296765151,-0.48457377978957084,-0.4794932097502169},
+{-0.9901866668019466,-0.8122147080257491,-0.7345769759117502,-0.6847602619291138,-0.6487035700943125,-0.6221057977759301,-0.6006296397949882,-0.5850566733583946,-0.57103406051192,-0.5591214843279886,-0.5485043865828629,-0.5388309246018252,-0.5300856677567936,-0.5221464679325436,-0.5148902431856186,-0.5082307314460195,-0.502087420177304,-0.4963823179114115,-0.4910730356677959,-0.4855878130028941,-0.48049846607318614},
+{-0.991047916093521,-0.8134139761777988,-0.7358318993324247,-0.6860026572530842,-0.6499226522096251,-0.6232969399584363,-0.6018024065847385,-0.5862139777195807,-0.5721756959455888,-0.5602511690522078,-0.5496193796770967,-0.5399317269666426,-0.5311739059907268,-0.5232227127844453,-0.515955395675519,-0.5092854779250047,-0.5031324338015111,-0.49741801475011016,-0.4920998523439266,-0.48660483576986735,-0.48150669713413663},
+{-0.9919125139247171,-0.8146170094405534,-0.7370906423830093,-0.6872487738396558,-0.6511453615062237,-0.6244916166797339,-0.6029786487752062,-0.5873746945148923,-0.573320722036442,-0.5613842007014682,-0.550737642725835,-0.5410357678083528,-0.5322653444072785,-0.5243021217202113,-0.5170236818466947,-0.5103433296608273,-0.5041805243963609,-0.498456754316976,-0.4931296888498764,-0.4876248573673365,-0.48251791156235413},
+{-0.9927804697670126,-0.8158238182736568,-0.7383532158814887,-0.6884986223271881,-0.6523717087452496,-0.625689838262133,-0.6041583763594645,-0.5885388329938905,-0.5744691489553588,-0.5625205891938094,-0.5518591852023746,-0.5421430570168013,-0.5333599923906149,-0.5253847044023132,-0.5180951111533432,-0.5114042960030929,-0.5052317008976388,-0.49949854577698716,-0.49416255456617364,-0.4886478871003419,-0.4835321172949989},
+{-0.9936517930721038,-0.8170344129307523,-0.7396196307977334,-0.6897522135427607,-0.6536017045323206,-0.6268916153485407,-0.6053415993069393,-0.5897064026321459,-0.5756209865567143,-0.563660344222626,-0.5529840166018403,-0.5432536042862921,-0.5344578592830658,-0.5264704702076415,-0.519169692604919,-0.5124683865287807,-0.5062859725430826,-0.5005433980686576,-0.4951984589424683,-0.48967393433304096,-0.48454932267395634},
+{-0.9945264933560338,-0.818248803815095,-0.7408898978792422,-0.6910095582320537,-0.6548353593561842,-0.6280969581102909,-0.6065283275597722,-0.5908774127319703,-0.5767762450468581,-0.5648034755013214,-0.554112146423904,-0.5443674192165417,-0.5355589544733448,-0.5275594285167244,-0.5202474356410676,-0.5135356104838138,-0.5073433481629763,-0.501591320071384,-0.49623741109007824,-0.4907030083031714,-0.4855695358810408},
+{-0.9954045801950997,-0.8194670014268013,-0.7421640281258988,-0.6922706671757624,-0.656072684112587,-0.6293058772198492,-0.6077185713425024,-0.5920518725561124,-0.577934934568475,-0.5659499929552112,-0.5552435841582337,-0.5454845115009448,-0.5366632870345711,-0.5286515890447845,-0.5213283494276766,-0.5146059773314846,-0.5084038369395785,-0.5026423210720168,-0.4972794204368256,-0.49173511825938476,-0.4865927649916557},
+{-0.9962860631933381,-0.8206890162173295,-0.7434420324852908,-0.6935355513478498,-0.6573136893234732,-0.630518383130493,-0.6089123405517967,-0.593229791748854,-0.5790970653515615,-0.5670999061840121,-0.5563783395182327,-0.5466048910548125,-0.5377708669284402,-0.5297469612378336,-0.5224124434471378,-0.5156794964686924,-0.5094674480787944,-0.5036964100263503,-0.4983244965605991,-0.4927702731019963,-0.48761901844318345},
+{-0.9971709519029446,-0.8219148587068048,-0.7447239218913637,-0.6948042214689849,-0.6585583858854989,-0.6317344863177823,-0.6101096454108301,-0.5944111795988647,-0.5802626474096542,-0.5682532252440069,-0.5575164220190345,-0.5477285677698092,-0.5388817032271618,-0.530845554665575,-0.5234997270044914,-0.5167561773678244,-0.5105341903963563,-0.5047535962066831,-0.4993726488928587,-0.4938084823261306,-0.48864830397269543},
+{-0.9980592559738852,-0.823144539452187,-0.7460097075395424,-0.6960766885513294,-0.6598067846221056,-0.6329541975105712,-0.6113104961705176,-0.5955960455039531,-0.581431691231046,-0.5694099598031244,-0.5586578413358438,-0.5488555514493783,-0.5399958057350887,-0.5319473791796554,-0.5245902095912243,-0.5178360297704785,-0.5116040732327747,-0.5058138889808106,-0.500423887051511,-0.49484975489667704,-0.48968063046959287},
+{-0.9989509850584,-0.8243780690463609,-0.7472994002878295,-0.6973529635429259,-0.6610588962103066,-0.6341775271012011,-0.612514902969906,-0.5967843989810717,-0.5826042069047617,-0.5705701197211965,-0.5598026071565982,-0.5499858518151086,-0.5411131837327048,-0.533052444342502,-0.5256839006224254,-0.5189190629325822,-0.5126771055356585,-0.5068772973691011,-0.5014782203879804,-0.4958940998503749,-0.4907160055008717},
+{-0.9998461488698922,-0.8256154580981274,-0.7485930112870847,-0.6986330573254236,-0.6623147315622191,-0.6354044859244823,-0.6137228760039761,-0.5979762495699106,-0.5837802047190053,-0.5717337148225852,-0.5609507291346745,-0.5511194790378795,-0.5422338468360977,-0.5341607597965776,-0.5267808096305089,-0.5200052864474856,-0.5137532962971818,-0.5079438308775934,-0.5025356588284922,-0.4969415262239636,-0.4917544377476588},
+{-1.0007447570578734,-0.8268567173217889,-0.7498905517059029,-0.6999169810810599,-0.6635743014712716,-0.6366350845119086,-0.6149344255991309,-0.5991716067737798,-0.5849596950365594,-0.5729007549853122,-0.5621022170507786,-0.5522564428829355,-0.5433578047222909,-0.5352723354271802,-0.5278809459950935,-0.521094710044963,-0.514832654897873,-0.5090134986685371,-0.5035962117917734,-0.49799204283135623,-0.49279593543451483},
+{-1.0016468194162371,-0.8281018573879919,-0.7511920325737265,-0.7012047456314576,-0.664837617021476,-0.6378693335523167,-0.6161495621263384,-0.6003704799677507,-0.5861426882311207,-0.5740712501656162,-0.5632570806565127,-0.5533967535502597,-0.5444850672192842,-0.5363871808667682,-0.5289843195732828,-0.5221873430473352,-0.5159151903117163,-0.5100863103953088,-0.504659889080358,-0.4990456588402594,-0.4938405070342924},
+{-1.002552345690674,-0.8293508891301826,-0.7524974652183118,-0.7024963622257019,-0.666104689169515,-0.6391072439914751,-0.6173682959870348,-0.6015728789107015,-0.5873291947173129,-0.5752452101060044,-0.5644153298208039,-0.5545404209196931,-0.5456156437157915,-0.5375053060261052,-0.5300909396901261,-0.523283195334443,-0.5170009118446615,-0.5111622755048302,-0.5057267005977337,-0.5001023828208417,-0.4948881608534066},
+{-1.0034613456632542,-0.8306038232517494,-0.7538068607022979,-0.7037918418527624,-0.667375528752018,-0.6403488263149484,-0.6185906376767889,-0.6027788130995759,-0.5885192248542808,-0.5764226449236958,-0.5655769743852943,-0.5556874550384236,-0.5467495440379935,-0.5386267208259596,-0.5312008162463826,-0.5243822763941353,-0.5180898283015267,-0.512241403207554,-0.5067966557644468,-0.5011622237479969,-0.49593890521373396},
+{-1.0043738291851696,-0.8318606705734055,-0.7551202303097853,-0.7050911956894197,-0.668650146825712,-0.6415940914698695,-0.6198165973655705,-0.6039882920258606,-0.5897127890630145,-0.5776035641656563,-0.5667420241888976,-0.5568378660518647,-0.5478867778847416,-0.539751435020662,-0.5323139585852914,-0.5254845958243095,-0.5191819490319176,-0.5133237033269324,-0.5078697646631554,-0.5022251901691561,-0.4969927486818051},
+{-1.0052898061117048,-0.8331214421082223,-0.7564375854503851,-0.706394434995218,-0.6699285544718805,-0.6428430502610354,-0.6210461857699556,-0.605201325555754,-0.5909098978481779,-0.5787879780828007,-0.567910489249698,-0.5579916639990188,-0.5490273551458813,-0.5408794584418501,-0.5334303768349855,-0.5265901634256807,-0.5202772833681593,-0.5144091852971542,-0.5089460369727021,-0.5032912910883169,-0.4980496998032322},
+{-1.0062092862831378,-0.8343861486109745,-0.7577589372476723,-0.7077015708005092,-0.6712107627217847,-0.6440957134932432,-0.6222794134628202,-0.6064179231416347,-0.5921105617453577,-0.5799758966259105,-0.5690823796239783,-0.5591488590634981,-0.5501712854975267,-0.5420108012458513,-0.5345500805951815,-0.5276989886424417,-0.521375840188739,-0.5154978588334416,-0.5100254826047603,-0.5043605348892015,-0.4991097668234943},
+{-1.0071322796115965,-0.8356548011647646,-0.7590842971262646,-0.7090126144357782,-0.6724967828013177,-0.6453520922837015,-0.6235162909561041,-0.6076380946469726,-0.593314791184639,-0.5811673296057052,-0.570257705300719,-0.5603094616208182,-0.5513185790614443,-0.5431454733779901,-0.5356730796165721,-0.5288110815326945,-0.5224776290942827,-0.51658973357371,-0.5111081117047434,-0.5054329302602127,-0.500172958717485},
+{-1.0080587960728735,-0.83692741067307,-0.7604136765144176,-0.7103275772233246,-0.6737866257417409,-0.6466121972416659,-0.6247568289782066,-0.6088618498370124,-0.5945225967443548,-0.582362287083015,-0.5714364764071433,-0.5614734815617339,-0.5524692454655451,-0.5442834848518032,-0.536799383889047,-0.5299264516661424,-0.5235826589760109,-0.5176848191658792,-0.5121939336895593,-0.5065084858333648,-0.5012392836606523},
+{-1.008988845625936,-0.8382039882380923,-0.7617470866930489,-0.7116464703699421,-0.675080302888091,-0.6478760395989411,-0.6260010381683969,-0.610089198264177,-0.5957339890483127,-0.5835607791896109,-0.5726187030850269,-0.5626409291699019,-0.5536232947079043,-0.5454248456280766,-0.537929003174213,-0.53104510878984,-0.5246909394854811,-0.518783125517075,-0.5132829588974346,-0.5075872102397625,-0.5023087503241186},
+{-1.0099224381765453,-0.8394845448983688,-0.7630845391704497,-0.7129693052206676,-0.6763778251724943,-0.6491436301766953,-0.627248929002235,-0.6113201499301795,-0.5969489786411941,-0.5847628157007421,-0.5738043955634566,-0.5638118147853675,-0.5547807368247959,-0.546569565705795,-0.5390619474037521,-0.5321670626244668,-0.5258024795830352,-0.5198846623925419,-0.5143751970044832,-0.508669111850395,-0.5033813673571785},
+{-1.0108595838473775,-0.8407690918470507,-0.764426045449909,-0.7142960931446396,-0.677679204191918,-0.6504149801162384,-0.6285005126428587,-0.6125547145538803,-0.5981675762486702,-0.5859684068291244,-0.5749935640933472,-0.564986148708158,-0.5559415817933768,-0.5477176553813479,-0.5401982268458596,-0.533292322982561,-0.5269172889211404,-0.5209894394620278,-0.5154706580569837,-0.5097541993100094,-0.5044571434136742},
+{-1.0118002926278677,-0.8420576401590552,-0.7657716169960622,-0.7156268455992176,-0.6789844511026786,-0.6516901005570617,-0.6297557996331307,-0.6137929021861055,-0.5993897923744953,-0.5871775627265379,-0.5761862190311149,-0.5661639412583099,-0.5571058395598811,-0.5488691245909649,-0.541337851273056,-0.5344208998521935,-0.5280353768184796,-0.522097466937339,-0.5165693520748391,-0.5108424812124213,-0.5055360873066093},
+{-1.012744574642511,-0.8433502011221208,-0.7671212653481234,-0.7169615739476285,-0.6802935771379452,-0.6529690023098738,-0.6310148008424221,-0.6150347226430313,-0.6006156377716252,-0.5883902933537684,-0.5773823705894756,-0.5673452027267558,-0.5582735202979165,-0.550023983491883,-0.5424808307234343,-0.5355528029185734,-0.5291567526401195,-0.5232087545618924,-0.5176712887414396,-0.5119339661923732,-0.5066182073824166},
+{-1.0136924399575946,-0.8446467859425866,-0.7684750020853244,-0.7183002896690596,-0.6816065938101019,-0.6542516968902419,-0.632277527174665,-0.6162801859645697,-0.6018451232657753,-0.5896066088589578,-0.5785820294522637,-0.5685299434517219,-0.5594446341256116,-0.551182242469622,-0.5436271753305846,-0.5366880421179303,-0.5302814260885498,-0.5243233125247571,-0.5187764782940576,-0.5130286629073453,-0.5077035125586917},
+{-1.0146438986703288,-0.8459474058718115,-0.7698328387823494,-0.7196430042372413,-0.682923512330035,-0.6555381951557138,-0.6335439894573938,-0.6175293021942707,-0.603078259358881,-0.5908265194248088,-0.5797852059395154,-0.5697181738305517,-0.5606191910919733,-0.5523439113867425,-0.5447768952853949,-0.537826627427421,-0.5314094065661266,-0.5254411507185068,-0.5198849304197211,-0.5141265798865788,-0.5087920117057365},
+{-1.0155989610311735,-0.8472520723867092,-0.7711947871443954,-0.7209897292768801,-0.6842443443160846,-0.6568285085068055,-0.6348141988282805,-0.6187820814384395,-0.6043150570912985,-0.5920500353231546,-0.5809919107514361,-0.5709099043660899,-0.5617972015324995,-0.5535090006806058,-0.5459300006959893,-0.5389685685004224,-0.5325407038062622,-0.5265622793904186,-0.5209966552547485,-0.5152277260522169,-0.5098837135519716},
+{-1.0165576371646239,-0.8485607967254509,-0.772560858788438,-0.7223404762153223,-0.6855691011528506,-0.6581226481539488,-0.6360881660939413,-0.6200385337360785,-0.6055555270186233,-0.593277166619373,-0.5822021543153824,-0.5721051455748238,-0.5629786756171598,-0.5546775204948062,-0.5470865019024131,-0.5401138756287764,-0.5336753273932118,-0.527686708796864,-0.5221116625407376,-0.5163321103427734,-0.5109786267985328},
+{-1.0175199373147734,-0.8498735903481247,-0.773931065425586,-0.7236952567564003,-0.6868977942649508,-0.6594206252566437,-0.6373659022656284,-0.6212986694517895,-0.6067996800929905,-0.5945079235934827,-0.5834159472633473,-0.5733039077031208,-0.5641636236159684,-0.5558494810547927,-0.5482464090464418,-0.5412625585995556,-0.5348132870785776,-0.5288144489122715,-0.5232299621666243,-0.5174397415967178,-0.5120767604103094},
+{-1.0184858716993404,-0.8511904647602933,-0.7753054187992348,-0.7250540824570635,-0.6882304353730433,-0.660722451255424,-0.6386474186247142,-0.6225624987137053,-0.6080475270919123,-0.5957423165591536,-0.5846333003764812,-0.5745062012174458,-0.5653520556134026,-0.5570248926533168,-0.5494097324190079,-0.5424146273871884,-0.5359545926730789,-0.5299455101603598,-0.5243515640304395,-0.5185506289762998,-0.5131781231939385},
+{-1.0194554506379063,-0.8525114314406892,-0.7766839307278133,-0.7264169650638905,-0.6895670357866948,-0.6620281374107435,-0.639932726006009,-0.6238300318618712,-0.6092990788411043,-0.5969803556845363,-0.5858542244513956,-0.575712036808909,-0.5665439823424094,-0.5582037656022294,-0.5505764822728452,-0.5435700920324962,-0.5370992540520092,-0.5310799028984547,-0.5254764779210745,-0.51966478155191,-0.5142827243125794},
+{-1.020428684419585,-0.8538365019435332,-0.7780666129401652,-0.727783916160206,-0.6909076073948199,-0.6633376951504033,-0.6412218356881567,-0.6251012793600239,-0.6105543462663263,-0.5982220514051733,-0.5870787302410463,-0.5769214249849028,-0.5677394138783711,-0.5593861101469884,-0.5517466691790105,-0.5447289624871701,-0.538247281006079,-0.5322176374183982,-0.5266047136610723,-0.5207822087804743,-0.5153905722045238},
+{-1.021405583393971,-0.855165687913086,-0.7794534773843225,-0.729154947657662,-0.6922521617220809,-0.664651136109569,-0.6425147587851825,-0.6263762515773124,-0.6118133404515902,-0.5994674140656571,-0.5883068285102127,-0.5781343763483164,-0.5689383607332275,-0.5605719365930781,-0.5529203033092926,-0.5458912489448267,-0.5393986835970281,-0.5333587243676448,-0.5277362811202693,-0.5219029200416117,-0.516501676527696},
+{-1.0223861579056575,-0.8564990009595022,-0.7808445358405152,-0.7305300711941527,-0.6936007104118289,-0.6659684713768002,-0.6438115065921011,-0.6276549590093055,-0.6130760721835031,-0.6007164540233134,-0.5895385302937939,-0.5793509012955838,-0.5701408335125961,-0.5617612555533924,-0.5540973953629873,-0.547056961438102,-0.5405534716937836,-0.5345031738697799,-0.5288711898601832,-0.5230269249641424,-0.5176160456576326},
+{-1.0233704183679038,-0.8578364527406848,-0.7822398002222144,-0.7319092985699172,-0.6949532652160997,-0.6672897127118631,-0.6451120902056573,-0.6289374123689413,-0.6143425523741826,-0.6019691815936312,-0.5907738464165959,-0.5805710106506012,-0.5713468423191443,-0.5629540770642052,-0.555277955467318,-0.5482261098341041,-0.541711655419931,-0.5356509966986778,-0.5300094497906684,-0.5241542330941229,-0.5187336889039216},
+{-1.0243583752030645,-0.8591780550236763,-0.7836392825429357,-0.7332926417716408,-0.6963098377941606,-0.6686148715425588,-0.6464165208817576,-0.630223622280937,-0.6156127921240113,-0.6032256073367535,-0.5920127879207939,-0.5817947149389511,-0.5725563980786319,-0.5641504115428688,-0.5564619944188962,-0.5493987045119866,-0.5428732448872324,-0.536802203330808,-0.5311510705560067,-0.5252848542759239,-0.5198546153669668},
+{-1.0253500388307657,-0.8605238195732454,-0.7850429947466182,-0.7346801124431295,-0.6976704401249663,-0.6699439594030991,-0.647724810114596,-0.6315135993536387,-0.6168868024115,-0.6044857416127343,-0.5932553657894459,-0.583022024933598,-0.5737695110656205,-0.5653502696513897,-0.5576495226005136,-0.5505747551978857,-0.5440382504457375,-0.5379568044791085,-0.53229606180048,-0.5264187983611919,-0.5209788339643637},
+{-1.026345419770223,-0.8618737581782625,-0.7864509488886142,-0.736071722732504,-0.6990350839446364,-0.6712769881396525,-0.6490369690109219,-0.6328073545373627,-0.6181645943142939,-0.6057495949817167,-0.5945015911856899,-0.5842529513520276,-0.5749861920630792,-0.5665536617161706,-0.5588405505168339,-0.5517542722409416,-0.5452066821690096,-0.5391148107519257,-0.5334444334757791,-0.5275560753707396,-0.5221063538319868},
+{-1.027344528530648,-0.8632278827735718,-0.7878631569383288,-0.7374674844359106,-0.7004037810847876,-0.6726139691099888,-0.6503530092313667,-0.6341048985896123,-0.6194461787326873,-0.6070171779838347,-0.5957514750534756,-0.5854875047116366,-0.5762064516920873,-0.5677605981791203,-0.5600350890063055,-0.5529372658302236,-0.5463785502379324,-0.5402762327721575,-0.5345961949087723,-0.5286966955400203,-0.5232371840866108},
+{-1.0283473756335297,-0.8645862051589575,-0.7892796309829464,-0.7388674095309398,-0.7017765434629837,-0.6739549141439056,-0.6516729417699025,-0.6354062424552467,-0.6207315668789306,-0.608288500900926,-0.5970050286205151,-0.586725695819041,-0.5774303003836394,-0.5689710893939264,-0.5612331483953312,-0.5541237457209718,-0.5475538649370719,-0.5414410813318682,-0.5357513560447842,-0.5298406688716568,-0.5243713338722955},
+{-1.0293539716981286,-0.8659487374934542,-0.7907003833156523,-0.7402715102625734,-0.703153382981327,-0.6752998349156769,-0.6529967783617394,-0.6367113973756204,-0.6220207698452214,-0.6095635745305117,-0.5982622629853722,-0.5879675354954088,-0.5786577491699063,-0.5701851460416947,-0.562434739517812,-0.5553137223660087,-0.5487326369329821,-0.5426093671085255,-0.5369099264034958,-0.5309880057293412,-0.5255088124413305},
+{-1.0303643272527552,-0.867315491518184,-0.7921254258089903,-0.7416797983801189,-0.7045343115596552,-0.6766487432496433,-0.6543245303382719,-0.6380203741809964,-0.6233137986728252,-0.6108424093717986,-0.5995231895312827,-0.5892130345018813,-0.5798888084946157,-0.5714027786907536,-0.5636398731412555,-0.5565072055205746,-0.5499148764783968,-0.5437811011815938,-0.5380719157210478,-0.5321387167668945,-0.5266496289104907},
+{-1.0313784529889745,-0.8686864794690337,-0.7935547709384991,-0.7430922861813087,-0.7059193414297624,-0.6780016510365385,-0.6556562092864624,-0.6393331841964027,-0.6246106645612599,-0.6121250160458658,-0.6007878194322984,-0.5904622037669469,-0.5811234893508299,-0.5726239977675505,-0.5648485599431297,-0.5577042057157087,-0.5511005940079485,-0.5449562940839314,-0.5392373338345351,-0.5332928121215446,-0.527793792648481},
+{-1.0323963595669738,-0.8700617133667947,-0.7949884307413413,-0.7445089857901621,-0.7073084844587356,-0.6793585699042524,-0.656991826797821,-0.640649838709578,-0.6259113785890804,-0.6134114051801589,-0.6020561638879371,-0.5917150539971772,-0.5823618024896859,-0.5738488140405025,-0.5660608103980849,-0.5589047329222012,-0.5522898000945133,-0.5461349567049183,-0.5404061901463137,-0.5344503023861762,-0.5289413129066816},
+{-1.0334180576637664,-0.8714412053509477,-0.7964264175921016,-0.7459299093097798,-0.7087017527574062,-0.6807195118917662,-0.6583313942937821,-0.6419703488718369,-0.6272159520540299,-0.6147015875194484,-0.6033282342577877,-0.592971596024654,-0.5836037586077509,-0.5750772379542468,-0.5672766355792191,-0.5601087972790992,-0.5534825052800443,-0.5473170999730428,-0.5415784947781503,-0.5356111982955554,-0.5300921989910421},
+{-1.0344435579741003,-0.8728249675768893,-0.7978687436798282,-0.7473550689956028,-0.7100991583574796,-0.6820844888461579,-0.6596749233740411,-0.6432947262128437,-0.6285243960546723,-0.615995573397413,-0.6046040418514167,-0.5942318406850973,-0.5848493688326926,-0.5763092802772007,-0.5684960462340314,-0.5613164088781559,-0.554678720262018,-0.5485027347658615,-0.5427542572024322,-0.5367755104571188,-0.5312464605030982},
+{-1.0354728713296026,-0.8742130123710012,-0.7993154214882452,-0.7487844770666925,-0.711500713586247,-0.6834535127409254,-0.6610224258320159,-0.6446229822358873,-0.6298367218169005,-0.617293373832581,-0.6058835981320954,-0.5954957990661569,-0.5860986438729014,-0.577544951609525,-0.5697190531600427,-0.5625275778702417,-0.555878455700622,-0.549691871811774,-0.543933487337199,-0.5379432495719811,-0.5324041067951839},
+{-1.036506008430024,-0.8756053518814042,-0.8007664632650631,-0.7502181458839914,-0.7129064305690918,-0.6848265956869,-0.662373913238298,-0.6459551283587643,-0.6311529406102636,-0.6185949994951443,-0.6071669145530905,-0.5967634820835883,-0.5873515946877887,-0.5787842628633371,-0.5709456672029773,-0.5637423146299625,-0.557081722361545,-0.5508845221329466,-0.545116195038645,-0.5391144266459378,-0.5335651474706538},
+{-1.0375429800938036,-0.8770019984349346,-0.8022218814435291,-0.7516560877156735,-0.71431632146232,-0.6862037494984179,-0.6637293972289626,-0.6472911761902651,-0.632473063764337,-0.6199004609352414,-0.6084540022493456,-0.5980349005367316,-0.5886082324805102,-0.5800272246460736,-0.5721758992449395,-0.564960629192683,-0.5582885308667755,-0.5520806963604628,-0.5463023901784254,-0.5402890525401745,-0.5347295920601027},
+{-1.0385837972416994,-0.8784029645321425,-0.8036816885364715,-0.7530983150377324,-0.7157303987150954,-0.6875849865391501,-0.6650888896747347,-0.6486311376074809,-0.6337971025450315,-0.6212097690022347,-0.6097448730406541,-0.5993100655750823,-0.5898685679712798,-0.5812738478543906,-0.5734097601434769,-0.5661825320230491,-0.5594988922975972,-0.5532804057202156,-0.5474920827737151,-0.5414671380949585,-0.535897450239645},
+{-1.039628470694879,-0.8798082624466588,-0.8051458969971463,-0.7545448401747308,-0.7171486743336573,-0.6889703186907354,-0.666452402260802,-0.6499750241910078,-0.6351250681609599,-0.6225229344781837,-0.6110395381792841,-0.6005889878351809,-0.5911326124678453,-0.582524143162118,-0.5746472609134798,-0.5674080331209552,-0.5607128175097387,-0.5544836608405603,-0.5486852826252289,-0.542648694206946,-0.5370687320655634},
+{-1.040677011400021,-0.88121790478408,-0.8066145193420198,-0.7559956756222164,-0.7185711608817655,-0.6903597581613212,-0.6678199468833554,-0.651322847670599,-0.6364569722563829,-0.6238399681542433,-0.6123380093540618,-0.6018716788339589,-0.5924003770051058,-0.5837781216232543,-0.575888412346103,-0.5686371429337669,-0.561930317401675,-0.5556904724362539,-0.5498820001903368,-0.5438337323203086,-0.5382434468228894},
+{-1.041729430257874,-0.882631903940819,-0.8080875681821453,-0.7574508338248052,-0.7199978708267736,-0.6917533173482298,-0.6691915353949298,-0.6526746200424896,-0.6377928259362307,-0.6251608809088793,-0.613640297994607,-0.6031581494753482,-0.5936718726125036,-0.5850357941308175,-0.5771332256526875,-0.5698698719616004,-0.5631514030901599,-0.556900851478531,-0.5510822451906279,-0.5450222630834105,-0.5394216047889131},
+{-1.0427857382137518,-0.884050272461991,-0.8095650560198919,-0.7589103273712681,-0.721428816250409,-0.6931510081758461,-0.6705671796025854,-0.6540303530973688,-0.6391326406801454,-0.6264856833877275,-0.6149464158006595,-0.6044484106942036,-0.5949471105877819,-0.5862971714132073,-0.5783817115334386,-0.571106230316218,-0.5643760855755318,-0.5581148085720997,-0.5522860280107125,-0.5462142978021802,-0.5406032159089591},
+{-1.0438459463061918,-0.8854730229963934,-0.8110469955008739,-0.7603741688299124,-0.7228640099419863,-0.694552843114252,-0.6719468915543985,-0.6553900587914541,-0.6404764279868687,-0.6278143865511083,-0.6162563741472695,-0.6057424735008681,-0.59622610194765,-0.587562264873668,-0.5796338812360773,-0.572346228555034,-0.5656043760163811,-0.5593323547145701,-0.5534933587896376,-0.5474098474223865,-0.5417882901674602},
+{-1.044910065606473,-0.8869001681741793,-0.8125333993411914,-0.761842370870454,-0.7243034641278427,-0.6959588343997893,-0.6733306830028596,-0.6567537492865085,-0.6418241991614195,-0.6291470012447462,-0.6175701848906101,-0.607040349235831,-0.5975088582754324,-0.588831085217862,-0.5808897456463455,-0.5735898772572909,-0.5668362857786633,-0.5605535003442128,-0.5547042479811353,-0.5486089231289952,-0.5429768378235167},
+{-1.0459781070935605,-0.8883317206818901,-0.8140242802678586,-0.7633149460602908,-0.7257471915227143,-0.6973689944543366,-0.6747185663389246,-0.6581214364396146,-0.6431759659790259,-0.6304835385044498,-0.6188878595457936,-0.6083420490567732,-0.5987953906160328,-0.5901036437917355,-0.5821493157973237,-0.5748371868930917,-0.5680718260491631,-0.5617782564704612,-0.5559187059061514,-0.549811536408015,-0.5441688691244053},
+{-1.0470500819264998,-0.8897676933047478,-0.8155196510624592,-0.764791907281051,-0.7271952046439765,-0.6987833358025455,-0.6761105533250884,-0.6594931323761557,-0.6445317398529369,-0.6318240091286498,-0.6202094099253372,-0.6096475840995481,-0.6000857103726958,-0.5913799514810307,-0.5834126029412801,-0.5760881679807426,-0.5693110081347186,-0.563006633533405,-0.5571367429274687,-0.5510176983871133,-0.5453643946093507},
+{-1.048126001156561,-0.8912080987593072,-0.8170195243674243,-0.7662732671801677,-0.728647516075398,-0.7002018706371018,-0.6775066562104257,-0.6608688492751753,-0.6458915321782115,-0.6331684241595212,-0.6215348477135194,-0.6109569654599909,-0.6013798289068291,-0.5926600197908556,-0.5846796181285754,-0.5773428312804754,-0.5705538433094262,-0.5642386421213814,-0.5583583696407004,-0.5522274199183812,-0.5465634244064859},
+{-1.0492058760378313,-0.8926529499276512,-0.8185239131053095,-0.767759038499662,-0.7301041384052951,-0.7016246114935711,-0.6789068869384209,-0.6622485993129885,-0.6472553548192082,-0.6345167944427885,-0.6228641845282255,-0.6122702045513506,-0.602677757584388,-0.593943859551473,-0.5859503724668684,-0.5786011875215991,-0.5718003431875331,-0.5654742929245913,-0.5595835965568767,-0.5534407122713674,-0.5477659692778616},
+{-1.0502897176984334,-0.8941022596923176,-0.8200328302054913,-0.7692492342821424,-0.7315650843293042,-0.7030515708265739,-0.6803112578554646,-0.6636323945413096,-0.648623219257388,-0.6358691310524591,-0.624197432271103,-0.6135873123839701,-0.603979508023258,-0.5952314824326095,-0.5872248771238446,-0.5798632475061822,-0.5730505192141209,-0.5667135965531997,-0.5608124344662428,-0.5546575868766013,-0.5489720398081772},
+{-1.0513775373260614,-0.8955560409508507,-0.8215462884568296,-0.7707438671932323,-0.7330303666458349,-0.704482761349027,-0.6817197812479208,-0.6650202472928868,-0.6499951372270516,-0.6372254451416666,-0.6255346026837287,-0.6149083005784632,-0.6052850916676107,-0.5965228995137295,-0.588503143249909,-0.5811290219817238,-0.5743043830889292,-0.5679565635264225,-0.5620448938934715,-0.5558780550109077,-0.5501816469204641},
+{-1.0524693462352843,-0.8970143067053868,-0.8230643008864718,-0.7722429503655803,-0.7344999980914508,-0.7059181956847169,-0.6831324692402632,-0.6664121697094743,-0.6513711204015635,-0.6385857477571335,-0.6268757075304165,-0.6162331802397603,-0.6065945199343332,-0.5978181222453713,-0.5897851823001474,-0.5823985219294627,-0.575561946331618,-0.5692032044007647,-0.5632809856788299,-0.5571021277855834,-0.5513948009793239},
+{-1.0535651556961056,-0.8984770700294575,-0.824586880397419,-0.7737464966794505,-0.7359739914572856,-0.7073578862891736,-0.6845493344180795,-0.6678081740747075,-0.6527511806580151,-0.6399500499564965,-0.628220758821044,-0.6175619627829292,-0.6079078045459028,-0.5991171621790272,-0.5910710052457944,-0.5836717582833444,-0.5768232204100059,-0.5704535296281392,-0.5645207207653584,-0.5583298163664949,-0.5526115130141989},
+{-1.0546649770149088,-0.8999443438865455,-0.8261140400845761,-0.7752545191297031,-0.7374523593989579,-0.7088018459298837,-0.6859703887939759,-0.6692082725685395,-0.6541353295924637,-0.6413183628983461,-0.6295697682380705,-0.6188946595548259,-0.6092249571265711,-0.6004200306369967,-0.5923606232463499,-0.5849487421246522,-0.5780882172975907,-0.5717075499205748,-0.5657641098850945,-0.559561132113231,-0.553831793651625},
+{-1.0557688215599228,-0.9014161415384478,-0.8276457930182914,-0.7767670309704044,-0.738935115014101,-0.7102500871960729,-0.6873956450390324,-0.6706124775637363,-0.6555235792511667,-0.6426906977403632,-0.6309227477686363,-0.6202312819195868,-0.6105459892505678,-0.6017267390725465,-0.5936540478487586,-0.5862294844046119,-0.5793569487059358,-0.5729652755353527,-0.5670111640201867,-0.5607960861452739,-0.5550556539783429},
+{-1.0568767006293456,-0.9028924759745678,-0.8291821521834208,-0.7782840450518052,-0.7404222709983515,-0.711702622964367,-0.6888251155532998,-0.6720208014439777,-0.6569159413766101,-0.6440670658366798,-0.6322797095117494,-0.6215718413195646,-0.6118709126503745,-0.6030372992463526,-0.5949512903916911,-0.5875139964555274,-0.5806294263966265,-0.5742267172872744,-0.5682618941827968,-0.5620346899113429,-0.556283104868271},
+{-1.0579886257855833,-0.9043733606217756,-0.8307231308881455,-0.779805574805323,-0.7419138405084595,-0.7131594661095733,-0.6902588128496063,-0.6734332563664793,-0.6583124280441552,-0.6454474785350612,-0.6336406651917059,-0.6229163495800094,-0.613199739218544,-0.6043517226944459,-0.5962523621692526,-0.5888022894514506,-0.5819056624359291,-0.5754918855418509,-0.5695163114023671,-0.5632769543508402,-0.5575141574290683},
+{-1.0591046083268338,-0.9058588086104464,-0.8322687422742092,-0.7813316333085822,-0.7434098364064994,-0.7146206292827628,-0.6916967496390498,-0.674849854646709,-0.6597130511081559,-0.6468319470805,-0.6350056270403002,-0.624264817911353,-0.6145324805365817,-0.6056700211793213,-0.5975572742954682,-0.5900943746037228,-0.5831856683953447,-0.5767607908173886,-0.5707744267419912,-0.5645228907915225,-0.5587488224655317},
+{-1.0602246598159581,-0.9073488332442139,-0.8338189994697132,-0.7828622338665809,-0.7449102717991991,-0.7160861254242263,-0.6931389383944406,-0.6762706087047263,-0.6611178226476113,-0.6482204829644616,-0.6363746069700937,-0.6256172577850521,-0.6158691485534291,-0.6069922062852129,-0.5988660383454771,-0.5913902633374164,-0.5844694561774304,-0.5780334437722559,-0.5720362514557564,-0.5657725104347264,-0.5599871112053734},
+{-1.0613487917084967,-0.9088434480017895,-0.8353739157937525,-0.7843973898270633,-0.7464151595731892,-0.717555967293265,-0.6945853916531632,-0.6776955308641845,-0.6625267547979092,-0.6496130973719119,-0.637747617108289,-0.6269736809335882,-0.6172097552416744,-0.6083182898037194,-0.6001786657452612,-0.5926899669811974,-0.5857570381540427,-0.5793098550848299,-0.5733017964430474,-0.5670258244372235,-0.5612290345861766},
+{-1.0624770156246086,-0.9103426662277343,-0.836933504643639,-0.7859371144786564,-0.7479245129325136,-0.7190301680493576,-0.6960361224728331,-0.6791246334541938,-0.6639398595234525,-0.6510098021617523,-0.6391246695120572,-0.6283340991567457,-0.618554312311062,-0.6096482835391726,-0.6014951678362195,-0.5939934968700982,-0.5870484259339719,-0.580590035280693,-0.5745710732317093,-0.5682828440067169,-0.5624746039175079},
+{-1.06360934306349,-0.9118465013652894,-0.8384977792497921,-0.7874814212664205,-0.7494383450703026,-0.7205087406355233,-0.697491143415391,-0.6805579287311048,-0.6653571493425261,-0.6524106088163535,-0.6405057765296078,-0.6296985239787318,-0.6199028316978001,-0.610982199328646,-0.6028155560306914,-0.59530086498944,-0.5883436317344604,-0.5818739951182579,-0.5758440930021607,-0.5695435802899738,-0.5637238303315826},
+{-1.0647457856612164,-0.9133549669991226,-0.8400667530772807,-0.7890303237272747,-0.7509566692096996,-0.7219916979429399,-0.6989504674120326,-0.6819954293050614,-0.6667786362495463,-0.6538155290309078,-0.6418909501326198,-0.631066967109291,-0.6212553255727471,-0.612320049203845,-0.6041398417892196,-0.596612082480533,-0.5896426673316455,-0.5831617453977742,-0.5771208670585111,-0.5708080445929227,-0.564976724816006},
+{-1.0658863550597744,-0.9148680766029429,-0.8416404395302379,-0.790583835223515,-0.7524794984010441,-0.7234790531310864,-0.7004141071820413,-0.6834371473905776,-0.668204332600908,-0.6552245742932428,-0.6432802026465652,-0.6324394402854523,-0.6226118058202701,-0.613661845034585,-0.6054680364832166,-0.5979271610494834,-0.5909455447754226,-0.5844532967394116,-0.5784014067239696,-0.5720762476548771,-0.5662332985129979},
+{-1.0670310629293454,-0.916385843766875,-0.8432188520205273,-0.7921419693466305,-0.7540068458401947,-0.7249708191302489,-0.7018820756802597,-0.6848830954259029,-0.6696342506766086,-0.6566377565613948,-0.6446735463077857,-0.6338159554006779,-0.6239722843638447,-0.6150075985897274,-0.6068001514240677,-0.5992461124269539,-0.5922522762084554,-0.5857486600762059,-0.5796857230807291,-0.5733482008090505,-0.5674935624583668},
+{-1.068179921016963,-0.9179082823170575,-0.8448020041942073,-0.7937047397044807,-0.7555387250376953,-0.7264670092508823,-0.703354385921557,-0.6863332857528803,-0.6710684030385892,-0.6580550877015412,-0.6460709934090119,-0.6351965242929509,-0.6253367734580024,-0.6163573221319893,-0.6081361982423914,-0.6005689483517926,-0.5935628735578575,-0.5870478465058113,-0.5809738279322119,-0.5746239147956658,-0.5687575278016084},
+{-1.0693329409941725,-0.9194354057576675,-0.8463899095208944,-0.7952721599576762,-0.7570751492767158,-0.7279676366633794,-0.7048310509817384,-0.6877877308206735,-0.6725068020823528,-0.6594765796662614,-0.6474725563484753,-0.6365811589857913,-0.6267052851262633,-0.6177110276494204,-0.6094761884342006,-0.6018956807138238,-0.5948773487680228,-0.5883508667047863,-0.5822657326925764,-0.5759034011589392,-0.5700252055121382},
+{-1.070490134648935,-0.920967227955316,-0.8479825816702942,-0.7968442437904741,-0.7586161317576625,-0.7294727143480486,-0.7063120838793111,-0.6892464431293774,-0.673949460350741,-0.6609022442844434,-0.6488782476426422,-0.637969871061614,-0.6280778315767748,-0.6190687272410287,-0.6108201332499448,-0.6032263213510305,-0.5961957139315928,-0.589657731717125,-0.5835614484331018,-0.5771866703025808,-0.5712966066284935},
+{-1.0716515138392424,-0.9225037627124948,-0.8495800341738686,-0.79842100494443,-0.7601616861174989,-0.7309822557581356,-0.7077974977428312,-0.6907094349517138,-0.675396390419337,-0.6623320937296739,-0.650288079492384,-0.6393626728222443,-0.6294544247175509,-0.6204304331095045,-0.6121680443884543,-0.604560882052283,-0.5975179805327571,-0.5909684528214711,-0.5848609871763983,-0.5784737334506644,-0.5725717420245928},
+{-1.0728170903744285,-0.9240450238553422,-0.8511822807786302,-0.8000024572220354,-0.7617118256266622,-0.7324962740522096,-0.7092873055180462,-0.6921767189169259,-0.6768476049619494,-0.6637661400754951,-0.651702064276833,-0.6407595761729681,-0.6308350771823825,-0.62179615734658,-0.6135199330665273,-0.60589937513123,-0.598844161228044,-0.5922830413255724,-0.5861643598909723,-0.5797646012597397,-0.5738506228008191},
+{-1.073986876134768,-0.9255910253036745,-0.8527893352061255,-0.8015886144230535,-0.76326656398669,-0.7340147825052554,-0.7107815207646127,-0.6936483074778153,-0.678303116645111,-0.6652043956619309,-0.6531202149099045,-0.642160593153676,-0.6322198007883344,-0.6231659123759528,-0.6148758108347465,-0.6072418125240802,-0.6001742675725836,-0.5936015082452286,-0.5874715784939326,-0.5810592850111789,-0.5751332596091743},
+{-1.0751608830078112,-0.9271417810691673,-0.854401211331151,-0.8031794904645722,-0.764825914481662,-0.7355377947742454,-0.712280156527413,-0.6951242131162871,-0.6797629382890591,-0.6666468727225947,-0.6545425436879668,-0.6435657361089397,-0.633608607800852,-0.6245397102429706,-0.6162356891754825,-0.6085882061424854,-0.6015083112788489,-0.5949238650318875,-0.5887826543066694,-0.5823577952987762,-0.57641966384017},
+{-1.0763391229552326,-0.9286973050789129,-0.8560179227883964,-0.8047750992682268,-0.7663898909386262,-0.737065323839488,-0.7137832262096708,-0.6966044482787765,-0.6812270827667817,-0.6680935834829143,-0.6559690632384445,-0.6449750168658284,-0.6350015105572311,-0.62591756340953,-0.6175995796866118,-0.6099385686275127,-0.6028463041448049,-0.5962501230387716,-0.5900975989188737,-0.5836601428582071,-0.5777098457119791},
+{-1.077521607980998,-0.9302576114168915,-0.8576394835563406,-0.8063754548120414,-0.7679585067662629,-0.7385973832942909,-0.7152907429781408,-0.6980890255672421,-0.6826955628794167,-0.669544540485731,-0.65739978626425,-0.6463884478362161,-0.6363985214247805,-0.627299483956449,-0.6189674937204472,-0.6112929118626198,-0.6041882581675964,-0.5975802937500703,-0.591416423987539,-0.5849663385106396,-0.5790038165941951},
+{-1.0787083500499648,-0.9318227142057367,-0.8592659075156917,-0.8079805711658992,-0.7695317756970326,-0.7401339865455157,-0.7168027202988014,-0.6995779575609049,-0.6841683916272814,-0.670999756146557,-0.658834725430097,-0.6478060410854596,-0.6377996525379785,-0.6286854845084235,-0.6203394429212494,-0.6126512483569968,-0.6055341849632896,-0.5989143886872625,-0.5927391410423297,-0.5862763933073438,-0.5803015871351818},
+{-1.0798993612106642,-0.9333926275890008,-0.8608972085889945,-0.8095904623105525,-0.7711097114442964,-0.7416751470345844,-0.7183191718013404,-0.7010712566889197,-0.6856455819633993,-0.6724592431091878,-0.6602738933906949,-0.6492278091918706,-0.6392049164578566,-0.6300755774673235,-0.6217154387250048,-0.6140135906762225,-0.606884096570866,-0.6002524194855141,-0.5940657617329634,-0.5875903178794033,-0.581603168185211},
+{-1.0810946535539188,-0.9349673657798121,-0.8625334008138452,-0.8112051424604942,-0.7726923277105016,-0.7432208785648982,-0.7198401105852099,-0.702568935722411,-0.687127146930834,-0.6739230138591665,-0.6617173029926562,-0.6506537642844705,-0.6406143253198024,-0.6314697752623033,-0.6230954928314532,-0.6153799510648241,-0.6082380042871591,-0.6015943978281939,-0.5953962976436742,-0.5889081229497606,-0.5829085704581303},
+{-1.0822942392310324,-0.93654694305269,-0.8641744982132877,-0.8128246257065257,-0.7742796384300163,-0.7447711943705144,-0.7213655506666328,-0.7040710073333685,-0.6886130998391309,-0.6753910812221875,-0.6631649670516708,-0.6520839187151068,-0.6420278916530151,-0.6328680903088753,-0.6244796167175082,-0.6167503423966991,-0.6095959197509728,-0.6029403355123577,-0.5967307607088514,-0.5902298194441755,-0.5842178046550544},
+{-1.0834981303119093,-0.9381313736435004,-0.8658205147444278,-0.8144489262294883,-0.7758716571315745,-0.7463261081929886,-0.7228955050431978,-0.7055774838399884,-0.6901034534885184,-0.676863457500076,-0.6646168983397729,-0.6535182848720069,-0.6434456277193021,-0.6342705351280529,-0.6258678220838192,-0.6181247767744935,-0.6109578547602723,-0.6042902441704427,-0.59806916195339,-0.5915554180910476,-0.5855308813297597},
+{-1.084706339065633,-0.9397206720482245,-0.8674714647627297,-0.8160780585476459,-0.7774683979123438,-0.7478856335537785,-0.7244299876274454,-0.7070883781407247,-0.6915982215623444,-0.6783401559805498,-0.6660731098418182,-0.6549568753534913,-0.644867546054229,-0.6356771221471718,-0.6272601206746913,-0.6195032674449976,-0.612323820918391,-0.6056441358859956,-0.5994115136545588,-0.5928849297170018,-0.5868478114789468},
+{-1.085918877608492,-0.9413148525168253,-0.8691273622171138,-0.817712036593548,-0.7790698744393012,-0.7494497841271368,-0.7259690120490632,-0.7086037030558145,-0.6930974170954869,-0.6798211891773462,-0.6675336144289759,-0.656399702618728,-0.646293659056937,-0.6370878640473165,-0.6286565240598065,-0.6208858269046686,-0.6136938298504901,-0.6070020225251938,-0.600757827124653,-0.594218365402412,-0.5881686055354294},
+{-1.0871357582855126,-0.9429139296244102,-0.8707882214130223,-0.8193508749309331,-0.7806761009214824,-0.7510185737755819,-0.727512591715822,-0.7101234710489734,-0.694601053549377,-0.681306570146262,-0.6689984251761416,-0.6578467794170137,-0.6477239791947795,-0.6385027735022959,-0.6300570442090248,-0.62227246805287,-0.6150678929216156,-0.6083639158414371,-0.6021081143126139,-0.5955557360457533,-0.5894932742294259},
+{-1.0883569933398576,-0.9445179178610488,-0.8724540566181531,-0.8209945880162195,-0.7822870913023507,-0.7525920160651367,-0.7290607408240248,-0.7116476950277502,-0.6961091442599354,-0.6827963115902094,-0.6704675550963657,-0.6592981180328934,-0.6491585189869511,-0.6399218629530878,-0.6314616926983945,-0.6236632037580421,-0.6164460217287342,-0.6097298281683834,-0.603462386641695,-0.596897052217173,-0.5908218282138478},
+{-1.0895825951079132,-0.9461268317995746,-0.8741248821061163,-0.8226431901694014,-0.7839028595144555,-0.7541701248583195,-0.7306134728632969,-0.7131763877496269,-0.697621702746801,-0.6842904268432903,-0.6719410172290736,-0.6607537313066132,-0.6505972911036224,-0.641345145246305,-0.6328704817306061,-0.6250580469713896,-0.6178282280279745,-0.6110997714949917,-0.6048206561763436,-0.5982423253653906,-0.5921542782743927},
+{-1.0908125759069662,-0.9477406860141855,-0.8758007121823539,-0.8242966959423939,-0.7855234195376397,-0.7557529137866368,-0.7321708013596435,-0.7147095619975516,-0.6991387425332505,-0.6857889283674012,-0.6734188245372934,-0.662213631967461,-0.6520403080603501,-0.6427726327419805,-0.6342834231518282,-0.6264570108487533,-0.6192145232507755,-0.6124737580466899,-0.6061829342879719,-0.5995915662706466,-0.593490635184935},
+{-1.092046948197094,-0.9493594952064086,-0.8774815613514875,-0.8259551198598274,-0.7871487857319153,-0.7573403968508501,-0.7337327405557517,-0.7162472307472854,-0.700660277066163,-0.6872918295603085,-0.6749009904297054,-0.6636778325828345,-0.6534875822990216,-0.6442043383931377,-0.6357005288837172,-0.6278601082804016,-0.6206049188658653,-0.6138517999652322,-0.6075492331501664,-0.6009447860233195,-0.5948309095401783},
+{-1.0932857243624312,-0.9509832740855018,-0.8791674439717099,-0.8276184765391008,-0.7887789720753062,-0.7589325879371245,-0.7352993041286027,-0.717789406785414,-0.7021863201716769,-0.6887991435860386,-0.6763875280257707,-0.6651463461948879,-0.6549391266862585,-0.6456402748808614,-0.637121810975259,-0.6292673525267674,-0.6219994267630682,-0.6152339091750036,-0.6089195642962295,-0.6023019961821774,-0.5961751125314549},
+{-1.094528916926265,-0.9526120374739548,-0.8808583745121723,-0.8292867804993875,-0.7904139928341465,-0.760529500782468,-0.7368705059916465,-0.7193361029721927,-0.7037168854167248,-0.6903108834267186,-0.6778784503621864,-0.6666191854710632,-0.6563949535211577,-0.647080454810748,-0.6385472816928086,-0.6306787567109495,-0.6233980582246659,-0.616620098252497,-0.61029393951776,-0.6036632074765294,-0.5975232549189968},
+{-1.0957765382927391,-0.954245800100125,-0.8825543675939116,-0.8309600466363918,-0.7920538622438471,-0.7621311494467591,-0.7384463600419622,-0.7208873325225795,-0.7052519865792419,-0.6918270621581541,-0.6793737709713241,-0.6680963634526051,-0.6578550760232247,-0.6485248912013049,-0.6399769532781647,-0.6320943342880128,-0.6248008251186548,-0.6180103795140894,-0.6116723708828431,-0.6050284315369936,-0.5988753481151434},
+{-1.0970286010219752,-0.9558845768483479,-0.8842554376233238,-0.8326382895074858,-0.7936985945516426,-0.7637375477697788,-0.7400268802630308,-0.7224431082349838,-0.7067916374207925,-0.6933476930271354,-0.6808735028926094,-0.6695778927860374,-0.6593195066534463,-0.6499735965999207,-0.6414108379231038,-0.6335140981818768,-0.6262077391811545,-0.6194047650214998,-0.6130548699811698,-0.6063976797786381,-0.6002314031256901},
+{-1.0982851177222983,-0.957528382727105,-0.885961599352413,-0.8343215240001882,-0.7953482041539246,-0.7653487098941696,-0.7416120808593405,-0.7240034434489644,-0.7083358518866589,-0.6948727894668991,-0.6823776598030236,-0.6710637867699916,-0.6607882581602098,-0.6514265838814026,-0.6428489480922508,-0.6349380619985823,-0.6276188122419626,-0.6208032677550364,-0.6144414489008341,-0.6077709634646453,-0.601591431435736},
+{-1.0995461009683822,-0.9591772326425598,-0.8876728674313199,-0.8360097647209841,-0.7970027053879676,-0.7669646498106886,-0.7432019755706278,-0.7255683510256858,-0.7098846436747408,-0.6964023644341069,-0.6838862549057012,-0.67255405830565,-0.6622613434556115,-0.65288386611428,-0.6442912961574621,-0.6363662391577236,-0.6290340558534808,-0.6222058995308544,-0.615832119503466,-0.609148294478473,-0.6029554443739471},
+{-1.100811563406296,-0.9608311416177457,-0.8893892565538408,-0.8377030268038652,-0.7986621126465252,-0.7685853815719383,-0.7447965787614521,-0.7271378441919296,-0.7114380268349123,-0.6979364312701364,-0.6853993016047752,-0.6740487203896919,-0.6637387752989525,-0.6543454561178805,-0.645737894584272,-0.6377986427214637,-0.6304534821229026,-0.6236126728117597,-0.6172268935961256,-0.6105296840896699,-0.6043234537692115},
+{-1.1020815177075747,-0.9624901248257629,-0.8911107814774368,-0.8394013249662748,-0.800326440428762,-0.7702109192650823,-0.7463959043770956,-0.7287119361253644,-0.7129960153597494,-0.6994750031790318,-0.6869168132234336,-0.6755477861343024,-0.6652205667060116,-0.6558113665951169,-0.647188756012838,-0.6392352864377244,-0.6318771026126342,-0.6250236004152612,-0.618625783362404,-0.6119151442781003,-0.6056954710902573},
+{-1.103355976651983,-0.9641541973364838,-0.8928374569868538,-0.8411046743794941,-0.801995703227476,-0.771841276896339,-0.7479999663864874,-0.7302906403983798,-0.7145586233782524,-0.7010180937413679,-0.6884388034941367,-0.6770512687653536,-0.6667067307134857,-0.657281610494465,-0.6486438932179226,-0.6406761835532961,-0.633304929924634,-0.6264386945404112,-0.6200288007976269,-0.6133046870490944,-0.6070715085097618},
+{-1.1046349529019608,-0.9658233742438824,-0.8945692979332307,-0.8428130898328163,-0.8036699157191833,-0.7734764689057556,-0.7496087794297637,-0.731873970147717,-0.7161258646774513,-0.7025657160829724,-0.6899652858801346,-0.6785591815232692,-0.6681972800151925,-0.6587562009899557,-0.6501033186214045,-0.6421213475723562,-0.6347369756322223,-0.6278579678664755,-0.621435957864378,-0.6146983239577821,-0.6084515777165507},
+{-1.105918459278655,-0.967497670982084,-0.8963063193032212,-0.8445265864738758,-0.8053490921956836,-0.7751165094578027,-0.7512223573839947,-0.7334619387538623,-0.7176977537938001,-0.7041178838017004,-0.691496274012934,-0.6800715376120934,-0.6696922278415514,-0.6602351509618529,-0.6515670451390179,-0.6435707917389664,-0.6361732520026635,-0.6292814327689484,-0.6228472666116431,-0.6160960676597824,-0.6098356912898453},
+{-1.1072065086227667,-0.969177102723279,-0.8980485359170416,-0.8462451794694061,-0.8070332476127078,-0.7767614125923501,-0.7528407146801328,-0.7350545598064855,-0.7192743046571195,-0.7056746100888631,-0.6930317811065834,-0.6815883502640645,-0.6711915872865575,-0.6617184735514456,-0.6530350857356098,-0.6450245295527566,-0.6376137711977208,-0.630709101857974,-0.6242627394012743,-0.617497929705678,-0.6112238612804504},
+{-1.1084991137736324,-0.9708616848097336,-0.8997959628486569,-0.8479688837942376,-0.8087223964330406,-0.7784111926048354,-0.7544638653889706,-0.7366518468224967,-0.7208555315446574,-0.7072359083813353,-0.6945718213028158,-0.6831096328105559,-0.6726953714687625,-0.6632061815753332,-0.654507453135011,-0.646482574627953,-0.6390585455337714,-0.6321409878601116,-0.6256823880430602,-0.6189039226001114,-0.6126161003194284},
+{-1.1097962876629026,-0.972551432659202,-0.9015486151038203,-0.8496977149452505,-0.8104165534996355,-0.7800658639453104,-0.7560918240906176,-0.7382538136471339,-0.7224414487982358,-0.7088017922924337,-0.6961164080084927,-0.6846353987220937,-0.6742035935421882,-0.6646982882148222,-0.6559841605294423,-0.6479449400521844,-0.6405075875318289,-0.6335771030808246,-0.6271062252535557,-0.6203140591023839,-0.6140124211078728},
+{-1.1110980431535609,-0.9742463617262729,-0.9033065078128857,-0.8514316879090984,-0.8121157335253884,-0.7817254407409564,-0.757724605009571,-0.7398604737500136,-0.724032070604153,-0.7103722751553505,-0.697665554807827,-0.6861656612409206,-0.6757162668600358,-0.6661948066366676,-0.657465220816448,-0.649411639436039,-0.6419609096419663,-0.6350174602812331,-0.6285342630881132,-0.6217283512942231,-0.6154128361440598},
+{-1.112404393286397,-0.9759464874987316,-0.905069656080741,-0.853170818021681,-0.813819951392361,-0.7833899375982583,-0.7593622224922001,-0.7414718410218484,-0.7256274115925407,-0.7119473706188728,-0.6992192756397344,-0.687700434135877,-0.677233404544495,-0.6676957498366392,-0.6589506471536879,-0.650882685943543,-0.6434185241814703,-0.6364620718923106,-0.6299665135438772,-0.6231468122095976,-0.6168173587693673},
+{-1.1137153510226199,-0.9776518255553128,-0.9068380751141376,-0.8549151206898387,-0.8155292220344563,-0.7850593688490335,-0.7610046912905091,-0.7430879294852275,-0.7272274861297774,-0.7135270921189658,-0.7007775840174872,-0.6892397306273779,-0.6787550202516286,-0.6692011312352406,-0.6604404530180545,-0.6523580930979733,-0.6448804439696687,-0.6379109509362024,-0.6314029897248474,-0.6245694542312776,-0.6182260016767032},
+{-1.1150309294475846,-0.979362391406994,-0.908611780031606,-0.856664611229462,-0.8172435601900361,-0.7867337488187331,-0.7626520252697446,-0.7447087529089913,-0.7288323082848365,-0.7151114531225176,-0.7023404937935993,-0.6907835642559803,-0.6802811270417806,-0.6707109635817687,-0.6619346512707125,-0.653837873653174,-0.646346681119212,-0.6393641095728526,-0.6328437032370857,-0.6259962902631742,-0.6196387780200894},
+{-1.1163511416466463,-0.9810782008757997,-0.910390786316384,-0.8584193052165574,-0.8189629808957761,-0.7884130919892414,-0.7643042394356598,-0.7463343255958534,-0.7304418932662884,-0.7167004674010968,-0.7039080189169908,-0.6923319486841137,-0.681811738549186,-0.67222526043588,-0.6634332556250229,-0.6553220413497911,-0.6478172492115846,-0.6408215606261365,-0.6342886672027817,-0.627427333288324,-0.6210557013191647},
+{-1.1176760006605946,-0.9827992695154535,-0.9121751090569887,-0.8601792179433687,-0.8206874991465156,-0.7900974129452152,-0.7659613481573615,-0.7479646616293394,-0.7320562551776675,-0.7182941483915783,-0.7054801732165288,-0.6938848975669316,-0.6833468681943486,-0.6737440346150834,-0.6649362789930819,-0.6568106091290247,-0.649292160576806,-0.6422833169090154,-0.6357378935153974,-0.6288625962788501,-0.6224767846151735},
+{-1.1190055197453148,-0.9845256131829956,-0.9139647639149189,-0.8619443650750327,-0.82241712997984,-0.7917867263022345,-0.7676233659067293,-0.749599775277602,-0.7336754088637463,-0.7198925098909967,-0.7070569703946603,-0.6954424247796851,-0.6848865298252349,-0.6752672996908586,-0.666443735570283,-0.6583035901385301,-0.6507714282106463,-0.6437493910925696,-0.6371913954244519,-0.6303020926943645,-0.6239020415951018},
+{-1.1203397120784757,-0.9862572476608875,-0.915759766166957,-0.8637147621629992,-0.824151888607048,-0.7934810465203554,-0.7692903075430877,-0.7512396810843711,-0.7352993689855793,-0.7214955654089863,-0.708638424430319,-0.6970045436764849,-0.6864307365694913,-0.6767950686034965,-0.6679556382823648,-0.6598009975705281,-0.6522550650443009,-0.6452197955068186,-0.638649185047143,-0.631745835044967,-0.6253314853447591},
+{-1.1216785908300153,-0.9879941888511894,-0.917560131267237,-0.8654904248378443,-0.8258917900839151,-0.7951803882178865,-0.7709621875019366,-0.7528843932723248,-0.7369281502433296,-0.7231033289526749,-0.7102245493797454,-0.6985712682726444,-0.6879795027380169,-0.6783273546561759,-0.6694720012455946,-0.6613028442316136,-0.6537430842108733,-0.646694543389458,-0.6401112753537745,-0.6331938372959485,-0.6267651299303907},
+{-1.1230221693003841,-0.9897364526559613,-0.9193658746953588,-0.8672713688256408,-0.8276368494889539,-0.7968847659540188,-0.7726390202733455,-0.754533926633485,-0.7385617674444802,-0.7247158138543455,-0.711815359089087,-0.7001426122678822,-0.6895328416967459,-0.6798641709219737,-0.6709928379932535,-0.6628091433667578,-0.6552354987770741,-0.6481736472824196,-0.6415776786006973,-0.634646112336668,-0.6282029886069722},
+{-1.1243704608832559,-0.9914840550363806,-0.9211770121974041,-0.8690576098069869,-0.8293870822662939,-0.7985941945544255,-0.7743208209767545,-0.756188295854372,-0.7402002353665011,-0.7263330341147594,-0.7134108674517847,-0.7017185896220326,-0.6910907672518078,-0.6814055309660034,-0.6725181622205127,-0.6643199076088422,-0.656732321722302,-0.6496571199595564,-0.6430484079492089,-0.636102673735877,-0.629645074891414},
+{-1.125723478818145,-0.9932370120905034,-0.9229935593421033,-0.8708491635343307,-0.8311425035435605,-0.8003086888402322,-0.7760076041613502,-0.7578475157015419,-0.741843569010598,-0.7279550037537774,-0.7150110886586845,-0.7032992142330841,-0.69265329335758,-0.6829514475039105,-0.6740479879226768,-0.6658351501637298,-0.6582335663806589,-0.6511449737972725,-0.6445234759285086,-0.6375635348786091,-0.6310914025598322},
+{-1.1270812364723497,-0.9949953397299396,-0.9248155317272904,-0.8726460459220107,-0.8329031289140403,-0.8020282634097384,-0.7776993847483027,-0.7595116012116705,-0.7434917834179942,-0.7295817364620234,-0.7166160368533383,-0.7048845003009774,-0.694220434134877,-0.6845019344582397,-0.6755823294497532,-0.6673548842554737,-0.6597392463991127,-0.6526372224288934,-0.6460028959854753,-0.6390287095591702,-0.6325419853983476},
+{-1.128443747350957,-0.9967590543024016,-0.9266429451954536,-0.8744482727843206,-0.8346689733762105,-0.8037529330867983,-0.7793961773122646,-0.7611805673186609,-0.7451448932833955,-0.7312132460547218,-0.7182257257854872,-0.7064744613626317,-0.6957922031642738,-0.6860570044855194,-0.6771212003486653,-0.6688791218921324,-0.6612493744169115,-0.6541338777878991,-0.6474866802473116,-0.6404982104750161,-0.633996836645565},
+{-1.1298110249390447,-0.9985281718390979,-0.9284758154335577,-0.8762558600064949,-0.8364400524660596,-0.8054827125715747,-0.7810979967116509,-0.7628544291228536,-0.7468029139290593,-0.7328495466172171,-0.7198401698296948,-0.708069111838995,-0.6973686146111504,-0.6876166708334495,-0.6786646148730142,-0.6704078766351813,-0.6627639641465066,-0.6556349533302637,-0.6489748418889576,-0.6419720519579641,-0.6354559702249389},
+{-1.1311830826762161,-1.000302708723666,-0.930314158328656,-0.878068823747526,-0.8382163818578192,-0.8072176169471277,-0.7828048581504845,-0.7645332019819762,-0.7484658604362266,-0.7344906520593213,-0.7214593829066871,-0.7096684655707577,-0.6989496826017785,-0.6891809469279906,-0.680212587171809,-0.671941161007453,-0.6642830289429185,-0.6571404617152439,-0.650467394098996,-0.6434502468173378,-0.6369193994732996},
+{-1.132559934136225,-1.0020826811019106,-0.9321579898132768,-0.8798871796780077,-0.8399979768537378,-0.8089576610145741,-0.7845167763298377,-0.7662169012328377,-0.750133747752443,-0.7361365767519601,-0.7230833794346836,-0.7112725372817295,-0.7005354210905352,-0.6907498460459465,-0.6817651319170182,-0.6734789879319578,-0.6658065823485231,-0.658650415766715,-0.6519643497595098,-0.6449328091721327,-0.6383871383022779},
+{-1.1339415928409835,-1.0038681054252265,-0.934007325674429,-0.8817109442743458,-0.8417848531762502,-0.810702859786943,-0.7862337662400023,-0.7679055424378021,-0.7518065912536258,-0.7377873345694752,-0.724712173451735,-0.7128813405333858,-0.7021258445765852,-0.6923233810948659,-0.6833222630602904,-0.6750213703571717,-0.6673346378165661,-0.6601648284358816,-0.6534657217662243,-0.6464197521245296,-0.6398591998076881},
+{-1.1353280724442811,-1.005658998022227,-0.9358621820074404,-0.8835401333135451,-0.8435770263258746,-0.8124532281553911,-0.7879558429831377,-0.7695991410528222,-0.7534844060910473,-0.7394429398336797,-0.7263457790550092,-0.7144948899476731,-0.703720966950641,-0.6939015657353593,-0.6848839955036965,-0.6765683209832787,-0.6688672086056613,-0.6616837129440682,-0.6549715234959876,-0.6479110893533289,-0.6413355978575055},
+{-1.1367193866690286,-1.0074553753752298,-0.937722574792133,-0.8853747633420426,-0.8453745121287284,-0.8142087811584133,-0.7896830214276633,-0.7712977129194769,-0.7551672076760951,-0.7411034067945366,-0.7279842108391676,-0.7161131998700512,-0.7053208029647067,-0.695484413142367,-0.6864503436027007,-0.6781198529424728,-0.6704043089048355,-0.6632070819978253,-0.6564817680255146,-0.6494068341098682,-0.6428163460996075},
+{-1.1381155491017125,-1.0092572539911089,-0.9395885201629426,-0.8872148502287018,-0.8471773261017006,-0.8159695339918471,-0.7914153168512712,-0.7730012738602454,-0.7568550111909644,-0.7427687497656734,-0.7296274828340756,-0.7177362846396136,-0.7069253664594726,-0.6970719365672267,-0.6880213219164943,-0.6796759789158386,-0.6719459518999429,-0.664734948959449,-0.6579964682459831,-0.6509070000493011,-0.6443014574842891},
+{-1.1395165735220871,-1.0110646504667784,-0.9414600343734492,-0.8890604104526574,-0.8489854840954649,-0.8177355017287482,-0.7931527442524384,-0.7747098396994261,-0.7585478323198913,-0.7444389833071909,-0.7312756093833741,-0.719364158649114,-0.7085346721023598,-0.6986641493704155,-0.6895969450888515,-0.6812367119709961,-0.6734921511697394,-0.6662673267501305,-0.6595156378452884,-0.6524116010459693,-0.6457909456685229},
+{-1.1409224737672048,-1.012877581392786,-0.9433371334480398,-0.8909114603320631,-0.8507990020343641,-0.8195066994403533,-0.794895319079842,-0.7764234265714549,-0.7602456861613973,-0.7461141219137062,-0.7329286048816357,-0.7209968365568784,-0.71014873427157,-0.7002610649860799,-0.6911772282946913,-0.6828020652619671,-0.6750429208523201,-0.6678042284993353,-0.6610392900420266,-0.6539206498473504,-0.6472848237099242},
+{-1.1423332635799852,-1.014696063415613,-0.9452198337266964,-0.892768016107766,-0.8526178955689829,-0.8212831423752505,-0.7966430560218214,-0.7781420505816641,-0.761948588336054,-0.7477941799261316,-0.7345864835451721,-0.7226343326974529,-0.7117675673634949,-0.7018626966128068,-0.6927621860713771,-0.6843720515253153,-0.6765982738188541,-0.6693456674865956,-0.6625674375782182,-0.6554341600012776,-0.6487831050981185},
+{-1.1437489567983903,-1.0165201132140282,-0.9471081514884645,-0.8946300944126051,-0.8544421806909668,-0.8230648457256393,-0.7983959706371024,-0.7798657280291081,-0.7636565544562472,-0.7494791722992886,-0.7362492600241239,-0.7242766617027883,-0.71339118605556,-0.703469057755683,-0.6943518333682732,-0.6859466843343398,-0.6781582247313054,-0.6708916570642032,-0.6641000945774067,-0.6569521450965112,-0.6502858029944036},
+{-1.1451695673463291,-1.0183497476864432,-0.9490021031169817,-0.8964977114810608,-0.8562718734365262,-0.8248518247219181,-0.8001540782333905,-0.7815944751628194,-0.7653696000415948,-0.7511691135023284,-0.7379169486421233,-0.7259238383467164,-0.7150196049788065,-0.7050801620507627,-0.695946185327557,-0.6875259765993178,-0.6797227868682967,-0.6724422101633536,-0.6656372737515994,-0.65847461847261,-0.651792930184456},
+{-1.1465951091986426,-1.0201849835575558,-0.9509017050095281,-0.8983708840578402,-0.858106989731823,-0.826644094866424,-0.8019173939637767,-0.783328308551063,-0.7670877404780185,-0.7528640185546465,-0.7395895637509966,-0.7275758771329492,-0.7166528383277182,-0.7066960231049961,-0.6975452567039611,-0.6891099412941912,-0.6812919739240897,-0.6739973403409749,-0.6671789887222985,-0.6600015931171583,-0.6533044997941033},
+{-1.148025596304251,-1.0220258377366918,-0.9528069736925318,-0.9002496285820598,-0.8599475457976951,-0.8284416716178384,-0.803685933557972,-0.7850672447029865,-0.7688109918690316,-0.754563902351947,-0.7412671200509067,-0.7292327930053943,-0.7182909015336918,-0.7083166544070991,-0.6991490630880435,-0.6906985925688787,-0.6828657998048584,-0.6755570612422162,-0.668725253489356,-0.6615330830472885,-0.6548205249964667},
+{-1.149461042639814,-1.0238723271186245,-0.9547179255450828,-0.9021339616938349,-0.8617935574384319,-0.8302445700501266,-0.8054597119180471,-0.78681130010591,-0.7705393694332088,-0.7562687795862075,-0.7429496315435244,-0.7308946003586243,-0.719933808634778,-0.7099420694603396,-0.7007576189862448,-0.6922919427279339,-0.6844442780857207,-0.6771213855599854,-0.6702760807365848,-0.6630691008494978,-0.6563410178487175},
+{-1.150901462321599,-1.0257244687586535,-0.9566345773919238,-0.9040239001569716,-0.8636450410895122,-0.8320528057938645,-0.8072387446309222,-0.7885604915836666,-0.7722728890184953,-0.7579786655396674,-0.7446371134046785,-0.7325613143311784,-0.7215815747431407,-0.7115722822200041,-0.7023709401491942,-0.6938900060940796,-0.6860274226564798,-0.678690327631557,-0.671831484647555,-0.6646096603271872,-0.6578659919487109},
+{-1.1523468694040275,-1.027582279649323,-0.9585569455257428,-0.9059194606070378,-0.8655020126780073,-0.8338663943022766,-0.8090230473690099,-0.7903148360692285,-0.7740115664273617,-0.7596935752344507,-0.7463295798561376,-0.7342329496914317,-0.7232342144125141,-0.713207306564982,-0.7039890415617265,-0.6954927960514397,-0.687615247771646,-0.6802639004954472,-0.6733914785809247,-0.6661547747035002,-0.6593954592217415},
+{-1.1537972780474774,-1.0294457769159635,-0.9604850469513622,-0.9078206598132965,-0.8673644887112459,-0.8356853512914313,-0.8108126354891283,-0.7920743504246275,-0.7757554175323094,-0.7614135242374687,-0.7480270458008818,-0.7359095215115303,-0.724891742627733,-0.7148471561431506,-0.7056119384778867,-0.6971003259277495,-0.6892077666561818,-0.6818421179832512,-0.6749560759953965,-0.667704457585387,-0.6609294323043287},
+{-1.155252702395046,-1.031314977668444,-0.9624188983780186,-0.909727514675069,-0.8692324854328035,-0.8375096922864032,-0.8126075247328117,-0.7938390515437277,-0.7775044579075256,-0.7631385273489286,-0.7497295255980134,-0.7375910443697649,-0.7265541742981441,-0.716491844871598,-0.7072396460844175,-0.6987126098247245,-0.6908049933736038,-0.6834249933081082,-0.6765252908789989,-0.6692587220341011,-0.6624679238575482},
+{-1.1567131567267097,-1.0331898991171329,-0.9643585163421449,-0.911640042034378,-0.8711060191408251,-0.8393394329659714,-0.814407730412313,-0.7956089565213915,-0.7792587036437908,-0.7648686003058174,-0.7514370338931258,-0.739277533513814,-0.7282215243085375,-0.7181413872867779,-0.7088721799100313,-0.70032966132203,-0.6924069419619627,-0.685012540759999,-0.6780991368668765,-0.6708175814637798,-0.6640109462914552},
+{-1.1581786552251288,-1.0350705585296964,-0.9663039179567932,-0.9135582588796751,-0.8729851062407761,-0.8411745888242876,-0.8162132680417926,-0.7973840824988656,-0.7810181704035131,-0.7666037580720513,-0.753149585662868,-0.7409690037657128,-0.7298938075291517,-0.7197957967327966,-0.710509555155113,-0.7019514945968695,-0.6940136258644998,-0.6866047735957181,-0.6796776275505181,-0.672381049453179,-0.6655585111375331},
+{-1.15964921228624,-1.0369569732392847,-0.9682551201121896,-0.9154821821084624,-0.8748697632636322,-0.843015175903929,-0.8180241538075279,-0.7991644467965671,-0.7827828741237681,-0.7683440166356377,-0.7548671955546524,-0.7426654703995155,-0.7315710389384549,-0.7214550879971284,-0.7121517867826697,-0.7035781233407761,-0.6956250593666482,-0.6882017059533609,-0.6812607770834802,-0.6739491393400385,-0.6671106311750918},
+{-1.161124842184563,-1.0388491605690433,-0.9702121397085648,-0.9174118287646706,-0.876760006683071,-0.8448612098763988,-0.8198404031227255,-0.8009500665684754,-0.7845528308298526,-0.7700893914416156,-0.7565898783414013,-0.7443669482072437,-0.7332532336758959,-0.723119275060526,-0.7137988902513825,-0.7052095614526479,-0.697241256210873,-0.689803351190676,-0.6828485990672561,-0.6755218647267611,-0.6686673185358813},
+{-1.1626055592996636,-1.0407471379112394,-0.9721749937898494,-0.9193472159531666,-0.8786558530955517,-0.8467127067360707,-0.8216620318262358,-0.8027409592186814,-0.7863280563506123,-0.7718398980132406,-0.7583176487087258,-0.746073452553901,-0.7349404069273078,-0.7247883725785869,-0.7154508812454878,-0.7068458239464235,-0.6988622304443197,-0.6914097239459807,-0.6844411075635435,-0.6770992391930122,-0.6702285849478358},
+{-1.1640913781088784,-1.0426509228173018,-0.9741436994445394,-0.9212883607960975,-0.8805573190029463,-0.8485696822053796,-0.8234890554149388,-0.8045371421439995,-0.7881085665367209,-0.7735955521102369,-0.7600505216178135,-0.7477849983342821,-0.7366325734064958,-0.7264623946921347,-0.7171077741322733,-0.7084869238560714,-0.7004879957457888,-0.6930208374642461,-0.686038316522172,-0.6786812760019529,-0.671794442441751},
+{-1.1655823130167846,-1.044560532761352,-0.9761182738284333,-0.9232352804647235,-0.8824644211381383,-0.8504321522559621,-0.8253214898850274,-0.8063386328485649,-0.7898943775926455,-0.7753563697033314,-0.7617885120289429,-0.7495016008397215,-0.7383297484038849,-0.7281413558494023,-0.7187695848215299,-0.7101328762792036,-0.7021185663415963,-0.6946367059726981,-0.6876402396765116,-0.680267989560889,-0.6733649032603353},
+{-1.1670783785734784,-1.0464759853384749,-0.9780987341328,-0.9251879922330772,-0.8843771762221877,-0.8523001330122497,-0.827159351310911,-0.8081454488365125,-0.7916855053354084,-0.7771223663348792,-0.7635316347686967,-0.7512232751605552,-0.7400319470471004,-0.7298252708869768,-0.7204363279433892,-0.7117836954057566,-0.7037539560205914,-0.6962573436985622,-0.6892468911864853,-0.6818593927500842,-0.6749399790696771},
+{-1.1685795893486102,-1.0483972981728584,-0.980085097691699,-0.9271465133160746,-0.886295601013444,-0.8541736405131815,-0.8290026552576819,-0.8099576075810546,-0.7934819657029948,-0.7788935581938858,-0.7652799049283203,-0.7529500367190849,-0.741739184414655,-0.7315141543313075,-0.7221080188310225,-0.7134393953729159,-0.7053941788581142,-0.6978827642187753,-0.6908582850046514,-0.6834554997276427,-0.6765196822279904},
+{-1.1700859598850002,-1.0503244889978305,-0.9820773817500594,-0.9291108611087111,-0.888219712352111,-0.8560526909232067,-0.8308514180125712,-0.8117751270265217,-0.7952837748416641,-0.7806699608963754,-0.767033337499015,-0.7546819004692225,-0.7434514759015656,-0.7332080210044296,-0.7237846722682661,-0.7150999910936662,-0.7070392489622463,-0.6995129821016235,-0.6924744358857424,-0.6850563236885137,-0.6781040243367897},
+{-1.1715975048200562,-1.0522575754575882,-0.9840756035955565,-0.9310810529013906,-0.8901495269574298,-0.8579373003049113,-0.8327056551361238,-0.8135980243841914,-0.7970909486048185,-0.7824515906640954,-0.7687919473482907,-0.7564188818541879,-0.7451688365445079,-0.7349068855492078,-0.7254663034646001,-0.7167654970207877,-0.708689179877183,-0.7011480112632853,-0.6940953571747741,-0.6866618790581924,-0.6796930174587033},
+{-1.1731142389144225,-1.054196575450078,-0.9860797808432835,-0.9330571063783282,-0.8920850619961129,-0.8598274848845904,-0.8345653828728246,-0.8154263177648318,-0.7989035032123866,-0.7842384634632253,-0.7705557497110931,-0.7581609960270725,-0.7468912817321325,-0.73661076325061,-0.7271529274867135,-0.71843592768073,-0.7103439864858956,-0.7027878660137503,-0.6957210634072908,-0.688272179580963,-0.6812866743193808},
+{-1.174636176788681,-1.0561415067313646,-0.9880899308463995,-0.935039038740797,-0.8940263343047263,-0.8617232611049985,-0.8364306173552905,-0.817260024825373,-0.8007214542531074,-0.786030595545526,-0.7723247599533352,-0.7599082585393262,-0.7486188268094338,-0.7383196688388125,-0.7288445589210824,-0.7201112978455058,-0.7120036822652764,-0.7044325606375423,-0.6973515687741383,-0.6898872388765085,-0.6828850064048311},
+{-1.176163333279419,-1.0580923873258143,-0.9901060712491017,-0.9370268676311753,-0.8959733607744056,-0.8636246451678744,-0.8383013744432901,-0.8190991632645819,-0.8025448183070694,-0.7878280029854068,-0.7740989929870921,-0.7616606847213916,-0.7503514869940773,-0.7400336174086988,-0.7305412124824215,-0.7217916223389693,-0.7136682819136695,-0.7060821093991763,-0.6989868874716194,-0.6915070715776892,-0.6844880264334279},
+{-1.1776957231313645,-1.0600492351577486,-0.9921282196337415,-0.9390206107400445,-0.8979261587892324,-0.8655316537324325,-0.8401776705686643,-0.8209437509494819,-0.8043736110203099,-0.7896307022056135,-0.7758784641064267,-0.7634182896872517,-0.7520892775164612,-0.741752624304354,-0.7322429030982676,-0.7234769158385461,-0.7153377992544847,-0.7077365265877233,-0.7006270342926655,-0.6931316909976886,-0.6860957468570632},
+{-1.1792333612406765,-1.0620120681905973,-0.9941563936117745,-0.9410202854987801,-0.8998847452430709,-0.8674443028121459,-0.8420595215338835,-0.8227938056734274,-0.8062078484235826,-0.7914387089249431,-0.7776631888109478,-0.7651810890756678,-0.7538322140308082,-0.7434767045378976,-0.7339496454642358,-0.7251671931171586,-0.717012248131141,-0.7093958265559195,-0.7022720226668753,-0.6947611112100276,-0.6877081800093947},
+{-1.1807762624894167,-1.0639809045978836,-0.9961906109401752,-0.9430259099171963,-0.9018491374672521,-0.8693626092835984,-0.8439469437635125,-0.8246493454225856,-0.8080475467340875,-0.7932520399263012,-0.7794531822619319,-0.7669490983180367,-0.7555803119366828,-0.7452058737480911,-0.7356614544296463,-0.7268624693551828,-0.7186916435002786,-0.7110600239366249,-0.7039218679710757,-0.6963953469658009,-0.6893253392481711},
+{-1.1823244417719252,-1.065955762393969,-0.9982308894886955,-0.945037501389379,-0.903819352636674,-0.8712865894949573,-0.8458399534292766,-0.8265103881085452,-0.8098927217870369,-0.7950707112149757,-0.7812484599617164,-0.7687223328557593,-0.7573335864399269,-0.7469401469707009,-0.737378343965247,-0.7285627593146273,-0.7203759996846202,-0.7127291330780281,-0.7055765839377273,-0.6980344117382629,-0.690947236640568},
+{-1.1838779141303348,-1.067936659866973,-1.0002772470061245,-0.9470550779687983,-0.9057954078989496,-0.8732162602791504,-0.8477385668329589,-0.8283769515201129,-0.8117433895786235,-0.7968947397594093,-0.7830490371770793,-0.7705008083166831,-0.7590920529910363,-0.7486795401082418,-0.7391003293769245,-0.7302680779002912,-0.722065330794976,-0.7144031681036722,-0.7072361848640867,-0.6996783199183483,-0.6925738860418278},
+{-1.1854366945599395,-1.0699236151967852,-1.0023297014895434,-0.9490786573596779,-0.9077773209628504,-0.875151638432726,-0.8496428005655616,-0.8302490538853817,-0.8135995661532434,-0.7987241415430617,-0.7848549297823411,-0.7722845399539437,-0.7608557276553256,-0.750424068569373,-0.7408274249210081,-0.7319784406599865,-0.7237596511831725,-0.7160821443558234,-0.7089006863316172,-0.701327086198944,-0.6942053007096547},
+{-1.1870007980910486,-1.0719166466651586,-1.0043882707732337,-0.951108257481792,-0.9097651088723069,-0.8770927403274982,-0.8515526703586147,-0.8321267127821557,-0.8154612674416057,-0.8005589329504801,-0.786666152835096,-0.774073543419945,-0.7626246253084901,-0.7521737480246884,-0.7425596447628777,-0.7336938620137516,-0.7254589749718434,-0.7177660756424302,-0.7105701017853789,-0.7029807242042807,-0.6958414934333632},
+{-1.1885702399581533,-1.073915772766668,-1.006452973029809,-0.9531438963831533,-0.9117587892706069,-0.8790395830537818,-0.8534681930796069,-0.8340099464512605,-0.8173285095426763,-0.8023991306617972,-0.7884827223570028,-0.7758678343743668,-0.7643987616729646,-0.7539285944003495,-0.7442970040356158,-0.7354143573929832,-0.7271633176478645,-0.7194549767773424,-0.7122444456554149,-0.7046392487427511,-0.6974824786320823},
+{-1.1901450351419953,-1.0759210117466864,-1.008523826207238,-0.9551855919717127,-0.9137583794827151,-0.8809921832953478,-0.8553893850976237,-0.8358987728006468,-0.8192013083898928,-0.8042447511061255,-0.7903046536866896,-0.7776674286296839,-0.7661781525075639,-0.7556886235806815,-0.7460395168345713,-0.7371399415460473,-0.7288726928600227,-0.7211488631428438,-0.713923733835145,-0.7063026742289367,-0.6991282700182637},
+{-1.191725198948916,-1.0779323821834623,-1.0106008485890925,-0.9572333623627856,-0.9157638972892528,-0.8829505580588375,-0.8573162628090358,-0.8377932100174803,-0.8210796798302908,-0.806095811330124,-0.7921319628867423,-0.7794723419174261,-0.7679628132382277,-0.757453851459104,-0.7477871976734605,-0.7388706301344428,-0.7305871159605886,-0.7228477487251439,-0.7156079793430763,-0.7079710150446772,-0.7007788816417815},
+{-1.1933107466065849,-1.0799499026097692,-1.0126840582806835,-0.9592872256298506,-0.9177753602680241,-0.8849147245955464,-0.8592488429412697,-0.8396932758705589,-0.8229636400128584,-0.8079523272454026,-0.7939646653057935,-0.7812825893752233,-0.7697527594327767,-0.7592242942419034,-0.7495400614579921,-0.7406064380784301,-0.732306600449192,-0.7245516485108965,-0.7172971979971408,-0.7096442863021366,-0.702434327266019},
+{-1.194901693369502,-1.0819735915583806,-1.0147734736092389,-0.9613471998227396,-0.9197927860441268,-0.8868846997256696,-0.8611871418379451,-0.8415989887298565,-0.8248532050820359,-0.809814315879521,-0.795802777103745,-0.7830981875658836,-0.7715480070482954,-0.7609999682626949,-0.7512981223208044,-0.7423473807639311,-0.7340311628367999,-0.7262605774994881,-0.7189914042719465,-0.7113225019193123,-0.7040946221759441},
+{-1.1964980546085826,-1.0840034676284631,-1.0168691128837963,-0.9634133034005572,-0.9218161922235595,-0.8888605003630801,-0.8631311759645541,-0.8435103662468464,-0.8267483905347035,-0.8116817939098837,-0.7976463139257248,-0.7849191516897918,-0.7733485712178663,-0.7627808894403643,-0.7530613948902101,-0.744093472957502,-0.7357608161710232,-0.7279745502091828,-0.7206906124147281,-0.7130056767327915,-0.7057597800467192},
+{-1.1980998456965608,-1.0860395496601996,-1.0189709944288552,-0.9654855544886232,-0.923845596836145,-0.8908421440828533,-0.865080962286811,-0.8454274268433437,-0.8286492126153462,-0.8135547779429544,-0.7994952918434137,-0.7867454980532784,-0.775154467687571,-0.7645670746751421,-0.7548298938454536,-0.7458447299677573,-0.7374955759833028,-0.7296935818012571,-0.722394837441243,-0.7146938259647868,-0.7074298159895989},
+{-1.1997070820475528,-1.0880818562982313,-1.0210791367517231,-0.9675639713495912,-0.925881017442407,-0.8928296479407436,-0.8670365174421022,-0.8473501884573125,-0.830555687274682,-0.8154332848534978,-0.8013497266520062,-0.788577242366955,-0.7769657123653815,-0.7663585397049246,-0.756603633868508,-0.7476011672752065,-0.7392354570829411,-0.7314176870677329,-0.7241040941062238,-0.7163869641362908,-0.7091047451440318},
+{-1.2013197791034145,-1.0901304064273063,-1.0231935584142775,-0.9696485725726234,-0.9279224722313302,-0.894823029341751,-0.8689978580823663,-0.8492786692540903,-0.832467830546193,-0.8173173314744417,-0.803209634628729,-0.790414400613372,-0.7787823207017937,-0.7681553018637715,-0.758382629515836,-0.7493628003212507,-0.7409804750741387,-0.733146881580069,-0.7258183977273802,-0.7180851064613307,-0.7107845823311436},
+{-1.202937952409684,-1.0921852189067067,-1.0253142779001791,-0.9717393763376094,-0.9299699789835358,-0.896822305528076,-0.8709650008167955,-0.8512128872425819,-0.8343856583151137,-0.8192069344913762,-0.8050750317006532,-0.7922569888469297,-0.780604308403781,-0.7699573774934834,-0.7601668961106043,-0.7511296441452942,-0.742730643763025,-0.734881179570948,-0.7275377620544532,-0.7197882681784904,-0.7124693427467719},
+{-1.2045616174668794,-1.094246312629366,-1.0274413137867668,-0.9738364011909653,-0.9320235555987892,-0.8988274938819814,-0.8729379624646754,-0.8531528605526546,-0.836309186647668,-0.8211021106744738,-0.806945933735733,-0.7941050231729605,-0.7824316909091067,-0.7717647835188473,-0.7619564481128691,-0.7529017135848335,-0.7444859788438407,-0.7366205965363406,-0.7292622029435734,-0.7214964636368677,-0.7141590409710261},
+{-1.206190789962875,-1.0963137066992203,-1.029574684876934,-0.9759396657991601,-0.9340832203051832,-0.9008386120167415,-0.8749167601536101,-0.855098607526088,-0.8382384312162685,-0.8230028772859441,-0.8088223574295625,-0.795958519596752,-0.7842644841484798,-0.7735775367427777,-0.7637512998107923,-0.7546790241867711,-0.7462464954187453,-0.7383651479385662,-0.7309917350776232,-0.7232097085479836,-0.7158536930801347},
+{-1.2078254854918669,-1.0983874200637729,-1.0317144098735298,-0.9780491885176161,-0.9361489911707395,-0.9028556773209857,-0.8769014106392206,-0.857050145962603,-0.8401734087201476,-0.8249092509340699,-0.810704318637363,-0.797817494722949,-0.7861027033441133,-0.7753956542674132,-0.7655514671705532,-0.7564615914061505,-0.7480122083534297,-0.7401148482895223,-0.7327263732122447,-0.7249280183486917,-0.7175533147892565},
+{-1.2094657197067136,-1.1004674718924434,-1.0338605075712621,-0.9801649881574122,-0.9382208863207779,-0.9048787077981615,-0.8788919307580727,-0.8590074945414017,-0.8421141344360876,-0.82682124852181,-0.8125918340165299,-0.7996819641457478,-0.787946364536765,-0.7772191531275894,-0.7673569646813121,-0.7582494306716399,-0.7497831332648275,-0.7418697131797671,-0.7344661326933419,-0.7266514082639333,-0.719257921071403},
+{-1.2111115084285302,-1.1025538814019455,-1.036012996786667,-0.9822870833140769,-0.9402989240770694,-0.9069077206477232,-0.8808883374031211,-0.860970670874849,-0.8440606248623226,-0.828738887329564,-0.814484919475035,-0.8015519445871178,-0.7897954829722948,-0.7790480500461854,-0.769167807760823,-0.7600425567852653,-0.7515592848403685,-0.7436297577114601,-0.7362110279746048,-0.7283798929429395,-0.720967527715402},
+{-1.212762867402489,-1.1046466677171338,-1.0381718964899846,-0.9844154928969147,-0.9423831226376933,-0.9089427338121823,-0.8828906476583143,-0.8629396934220495,-0.8460128959368376,-0.8306621842439199,-0.8163835918985569,-0.8034274522542546,-0.791650074565041,-0.7808823629457038,-0.7709840119014189,-0.7618409858241648,-0.7533406790662411,-0.745394997375115,-0.7379610746529579,-0.73011348908949,-0.7226821513850155},
+{-1.2144198124865397,-1.106745850185689,-1.0403372256487273,-0.9865502355787612,-0.9444735004490212,-0.9109837651403723,-0.8848988786639893,-0.864914580716686,-0.8479709636085317,-0.8325911563933914,-0.8182878674651874,-0.8053085039891812,-0.793510154597243,-0.7827221088173246,-0.7728055917950769,-0.7636447323211542,-0.7551273298849992,-0.7471654475575633,-0.7397162872348417,-0.7318522105906595,-0.7244018067758589},
+{-1.2160823595254442,-1.1088514482680694,-1.0425090034386812,-0.9886913301770619,-0.9465700756372826,-0.9130308323356076,-0.8869130473349287,-0.8668953505766694,-0.849934844184645,-0.8345258208682935,-0.8201977627904853,-0.8071951162228288,-0.7953757391978797,-0.7845673048759636,-0.7746325629223065,-0.7654538120741563,-0.7569192545406622,-0.748941123521945,-0.7414766814245013,-0.7335960745340344,-0.7261265114402704},
+{-1.2177505244681015,-1.1109634812528384,-1.0446872487464134,-0.9908387957266314,-0.9486728669680815,-0.9150839536468993,-0.8889331709788166,-0.8688820214065345,-0.8519045538641876,-0.836466195122739,-0.8221132944545388,-0.8090873049413858,-0.7972468434163602,-0.7864179687685464,-0.7764649412756626,-0.7672682404245279,-0.7587164671194842,-0.7507220407842397,-0.7432422720621616,-0.7353450958362373,-0.7278562809033247},
+{-1.219424323250223,-1.1130819687068652,-1.0468719808295646,-0.9929926509785219,-0.9507818929005225,-0.9171431466402282,-0.8909592664103911,-0.8708746115262329,-0.8538801083986982,-0.8384122958022999,-0.8240344789292067,-0.8109850871560411,-0.7991234830869871,-0.788274117929177,-0.7783027424165994,-0.769088032473519,-0.7605189833320765,-0.7525082144920816,-0.7450130740808163,-0.737099289987782,-0.7295911314486148},
+{-1.2211037719102933,-1.1152069301051597,-1.0490632189621465,-0.9951529152540388,-0.952897171812765,-0.9192084295873428,-0.8929913510464758,-0.8728731391520341,-0.8558615245638066,-0.8403641406694078,-0.8259613334730602,-0.8128884796578859,-0.8010056739931315,-0.7901357701421148,-0.7801459817228533,-0.7709132041782141,-0.7623268190382078,-0.754299660660763,-0.7467891034493732,-0.7388586727811344,-0.731331080010932},
+{-1.2227888865213572,-1.1173383850964456,-1.0512609823563253,-0.9973196074552106,-0.9550187225249829,-0.9212798205480794,-0.8950294421656508,-0.8748776228767383,-0.8578488184266462,-0.8423217466061033,-0.8278938742687387,-0.8147974993244134,-0.8028934317226231,-0.7920029424767563,-0.7819946747240465,-0.7727437705761986,-0.7641399897283918,-0.7560963942596572,-0.7485703747661319,-0.740623259669519,-0.7330761423327203},
+{-1.2244796831841995,-1.1194763533985679,-1.053465290382519,-0.9994927467387242,-0.9571465634244305,-0.9233573375304331,-0.8970735568727832,-0.8768880806192101,-0.859842006033432,-0.8442851314421205,-0.829832118507511,-0.816712162722979,-0.8047867718096313,-0.7938756529274542,-0.7838488383540607,-0.7745797471488913,-0.765958510530254,-0.7578984309920997,-0.7503569036543922,-0.7423930662971543,-0.7348263361272984},
+{-1.2261761780523557,-1.1216208546757116,-1.0556761624120554,-1.0016723523294786,-0.9592807138351418,-0.9254409993382069,-0.8991237127765999,-0.8789045312842063,-0.8618411043189553,-0.8462543122441275,-0.8317760827931124,-0.8186324869893724,-0.806685710340389,-0.7957539189837917,-0.7857084873912754,-0.7764211499188605,-0.7677823981875918,-0.7597057877155748,-0.7521487055782927,-0.7441681091531791,-0.7365816771234677},
+{-1.2278783873384782,-1.1237719086639117,-1.0578936178799268,-1.0038584433004871,-0.961421191829686,-0.9275308235210105,-0.9011799266045273,-0.8809269926705383,-0.8638461285445374,-0.848229306412577,-0.8337257837119978,-0.8205584886873112,-0.8085902627899486,-0.7976377581908309,-0.78757363798195,-0.7782679934880434,-0.769611667056779,-0.7615184778624098,-0.7539457947314077,-0.7459484023383993,-0.7383421815193287},
+{-1.2295863273548093,-1.125929535414798,-1.0601176764275806,-1.0060510392304423,-0.9635680168103136,-0.9296268288644569,-0.903242216117178,-0.8829554837893738,-0.8658570962415979,-0.8502101316908011,-0.8356812390620689,-0.8224901852918265,-0.8105004449698754,-0.799527188411048,-0.7894443071863861,-0.7801202938990173,-0.7714463337697453,-0.763336518606593,-0.7557481884305162,-0.7477339624165324,-0.7401078671755386},
+{-1.2313000142353303,-1.1280937546698624,-1.0623483574372585,-1.008250159158706,-0.96572120723431,-0.9317290335739017,-0.9053105987304662,-0.8849900227060061,-0.867874023362674,-0.8521968053046294,-0.8376424658945325,-0.8244275936458507,-0.8124162724370763,-0.8014222271613107,-0.7913205101003769,-0.7819780669778993,-0.7732864137760771,-0.7651599252894812,-0.757555901142041,-0.7495248052146053,-0.7418787497517769},
+{-1.2330194645292067,-1.130264586496196,-1.0645856807113887,-1.0104558227312737,-0.9678807823902389,-0.9338374561766614,-0.9073850918712196,-0.8870306280214209,-0.8698969265979031,-0.8541893454203091,-0.8396094805430039,-0.826370731674615,-0.8143377621727268,-0.803322892335018,-0.7932022635795875,-0.7838413281342582,-0.7751319234193943,-0.7669887136471516,-0.7593689485493087,-0.7513209464741522,-0.7436548480527563},
+{-1.2347446945277625,-1.1324420510027267,-1.066829665919613,-1.0126680493831373,-0.9700467613329238,-0.9359521154292452,-0.909465712875317,-0.8890773183038618,-0.8719258224746227,-0.8561877688316599,-0.8415823000714227,-0.8283196154470716,-0.8162649288879038,-0.8052292007632786,-0.7950895838048382,-0.7857100933279071,-0.7769828775944916,-0.7688228995375539,-0.761187345129656,-0.7531224009107973,-0.7454361763066117},
+{-1.2364757206810282,-1.1346261681846954,-1.0690803327397589,-1.0148868585465607,-0.9722191630517045,-0.9380730295833928,-0.9115524794087833,-0.8911301123762314,-0.8739607278721451,-0.8581920941678618,-0.8435609427042436,-0.8302742632013178,-0.8181977897866091,-0.8071411707460356,-0.7969824876172424,-0.787584377908388,-0.7788392935308366,-0.7706624996008031,-0.7630111088565172,-0.7549291851446469,-0.7472227530452074},
+{-1.238212559452677,-1.1368169582901828,-1.071337700966069,-1.017112269872996,-0.9743980065113647,-0.9402002175420421,-0.9136454084091383,-0.8931890280591688,-0.8760016587775681,-0.86020233846466,-0.845545424721422,-0.8322346912063949,-0.8201363598254829,-0.8090588189088521,-0.7988809907692485,-0.7894641977873107,-0.780701185874932,-0.7725075278231088,-0.7648402525992424,-0.7567413150500215,-0.7490145949614089},
+{-1.239955227515111,-1.139014441627296,-1.0736017905765038,-1.0193443030684648,-0.9765833111050597,-0.9423336980935346,-0.9157445182727315,-0.8952540847139971,-0.8780486325995298,-0.8622185197009458,-0.8475357641773371,-0.8342009182551919,-0.8220806559747871,-0.8109821636298875,-0.8007851097236198,-0.7913495689172123,-0.7825685715670261,-0.7743580012138409,-0.7666747944731469,-0.7585588047950296,-0.7508117182114802},
+{-1.2417037412969876,-1.141218638455939,-1.0758726214371563,-1.021582977552498,-0.9787750960331323,-0.9444734894113935,-0.9178498262144785,-0.8973253006970481,-0.8801016659699599,-0.8642406559638403,-0.8495319778749035,-0.8361729611569899,-0.8240306944999247,-0.8129112219012313,-0.8026948615442961,-0.7932405070860113,-0.7844414665742079,-0.7762139360384026,-0.7685147491556563,-0.7603816720384202,-0.7526141402813664},
+{-1.2434581175684798,-1.1434295691215084,-1.0781502135378105,-1.023828313465856,-0.9809733807887824,-0.9466196112789476,-0.9199613499249608,-0.8994026945010773,-0.8821607758281971,-0.866268765194036,-0.8515340833027949,-0.8381508375223348,-0.8259864914707578,-0.8148460110205633,-0.8046102632451948,-0.7951370284354198,-0.7863198872255452,-0.7780753478145925,-0.7703601325683849,-0.7622099309901387,-0.7544218783223187},
+{-1.2452183729333228,-1.1456472541367475,-1.0804345869992176,-1.0260803303754074,-0.9831781845668957,-0.9487720817442096,-0.9220791068682956,-0.9014862852218357,-0.8842259787616058,-0.8683028648902109,-0.853542098529033,-0.8401345651955126,-0.8279480636820153,-0.8167865481318586,-0.8065313305269228,-0.7970391490052862,-0.7882038489060506,-0.7799422523057729,-0.7722109606838785,-0.7640435987468663,-0.75623494897809},
+{-1.2469845241503208,-1.1478717139307264,-1.0827257617702344,-1.0283390482209143,-0.9853895266269319,-0.9509309201903307,-0.9242031148760361,-0.9035760912265687,-0.8862972921597247,-0.8703429733686789,-0.8555560402774063,-0.8421241611158621,-0.8299154270580402,-0.8187328504254765,-0.8084580805789301,-0.798946883809549,-0.7900933687087672,-0.7818146662448271,-0.7740672486779658,-0.7658826893166406,-0.7580533698383078},
+{-1.248756588033757,-1.1501029692608427,-1.0850237581707916,-1.0306044869812467,-0.9876074268304365,-0.9530961454829594,-0.9263333915787371,-0.9056721317056144,-0.8883747328773097,-0.8723891087356606,-0.8575759263358123,-0.8441196443272929,-0.8318885988310285,-0.820684935344616,-0.8103905300395127,-0.8008602504996816,-0.7919884627353895,-0.7836926052168565,-0.7759290144676925,-0.7677272199744039,-0.7598771580560424},
+{-1.2505345814129214,-1.1523410406480252,-1.0873285964235038,-1.0328766663997158,-0.9898319044941672,-0.955267776565961,-0.9284699549280049,-0.9077744248779709,-0.8904583176454253,-0.8744412892874607,-0.8596017746940561,-0.8461210316163488,-0.8338675955583312,-0.8226428192956519,-0.8123286964473664,-0.8027792645661975,-0.7938891471003444,-0.785576085354478,-0.7777962716463662,-0.7695772055376437,-0.7617063302986935},
+{-1.2523185211707641,-1.1545859488160204,-1.0896402968137409,-1.0351556069826984,-0.9920629793568878,-0.9574458332490394,-0.9306128227663066,-0.9098829901840872,-0.8925480641082686,-0.8764995327674114,-0.8616336026552744,-0.8481283410910692,-0.8358524340110307,-0.824606519738154,-0.8142725958259689,-0.8047039423854585,-0.7957954384182813,-0.787465123068614,-0.7796690385785041,-0.7714326627556147,-0.7635409051108581},
+{-1.2541084241433964,-1.156837714572248,-1.0919588795768504,-1.0374413282434034,-0.9943006709427209,-0.9596303338475991,-0.9327620124286113,-0.9119978459702907,-0.8946439890660258,-0.8785638573635879,-0.8636714279218722,-0.850141590538442,-0.83784313031083,-0.8265760531139676,-0.8162222447026579,-0.8066342996371532,-0.7977073526926688,-0.7893597338716063,-0.7815473291120725,-0.7732936057091138,-0.7653808991653932},
+{-1.2559043075539194,-1.159096358763236,-1.094284365245585,-1.0397338509710607,-0.9965449991750575,-0.9618212981322358,-0.9349175423431006,-0.9141190116361031,-0.8967461101201479,-0.8806342817233599,-0.8657152689584109,-0.8521607978127577,-0.8398397029923217,-0.8285514371546014,-0.8181776618421281,-0.8085703534379718,-0.7996249074749358,-0.7912599353821861,-0.783431162006309,-0.7751600525843969,-0.7672263303429645},
+{-1.2577061882193448,-1.1613619023555657,-1.0966167741444224,-1.04203319496537,-0.9987959838126699,-0.9640187452223472,-0.9370794300612033,-0.9162465059944225,-0.8988544440935584,-0.8827108242448958,-0.8677651424823125,-0.8541859814822601,-0.8418421676051366,-0.8305326870195131,-0.8201388616271288,-0.8105121198805136,-0.801548117718994,-0.793165741742996,-0.7853205514547881,-0.7770320165709563,-0.7690772156929597},
+{-1.2595140833291225,-1.1636343663230946,-1.0989561269998376,-1.0443393805217056,-1.0010536443387537,-0.9662226947484669,-0.9392476937491665,-0.9183803481100767,-0.9009690085240436,-0.8847935027561107,-0.869821067389239,-0.8562171594739993,-0.8438505425965559,-0.832519821356982,-0.8221058628496394,-0.8124596151483274,-0.8034770011818182,-0.7950771711093694,-0.7872155145796569,-0.7789095156040275,-0.7709335743020347},
+{-1.2613280100117663,-1.1659137717570047,-1.1013024442836468,-1.0466524281873717,-1.003318001327898,-0.9684331659091185,-0.9414223513658726,-0.9205205570542603,-0.9030898212913598,-0.8868823363682168,-0.8718830614634498,-0.8582543494594574,-0.8458648442774575,-0.83451285564297,-0.824078681969695,-0.8144128564763378,-0.8054115748072945,-0.7969942388626805,-0.7891160672352271,-0.7807925653723942,-0.7727954230012983},
+{-1.263147985426258,-1.1682001397466593,-1.1036557466977683,-1.04897235819044,-1.005589074299678,-0.9706501780628969,-0.9436034204709358,-0.9226671515789349,-0.9052168986700053,-0.8889773431837966,-0.8739511425028468,-0.8602975697795046,-0.8478850905721629,-0.836511806353883,-0.826057335600126,-0.8163718597279512,-0.8073518536020856,-0.7989169619941094,-0.7910222256014094,-0.7826811808117782,-0.7746627799460839},
+{-1.2649740268407186,-1.170493491536945,-1.106016054905922,-1.0512991912473808,-1.007866883249335,-0.9728737511986765,-0.9457909197199115,-0.924820151244603,-0.9073502593282683,-0.8910785417683655,-0.8760253285263389,-0.8623468390596827,-0.8499112988174602,-0.8385166906355153,-0.828041840941296,-0.8183366420053062,-0.8092978559579933,-0.8008453560778435,-0.7929340076207154,-0.7845753779274673,-0.776535663391769},
+{-1.2668061514764304,-1.1727938484127662,-1.1083833897209843,-1.0536329476790343,-1.0101514485968437,-0.975103904504067,-0.9479848669670901,-0.9269795750433332,-0.9094899200899818,-0.8931859506337787,-0.8781056381858434,-0.8644021751952096,-0.8519434867430391,-0.8405275250242994,-0.8300322153118032,-0.8203072200285533,-0.8112495979912637,-0.8027794386562164,-0.7948514281051757,-0.7864751737524784,-0.7784140908479458},
+{-1.2686443767702258,-1.1751012316663036,-1.1107577720149493,-1.0559736480354331,-1.0124427900582305,-0.9773406577314745,-0.950185280329606,-0.9291454421136223,-0.9116358982582824,-0.8952995886766075,-0.8801920891037298,-0.8664635958848521,-0.8539816713637265,-0.8425443255437131,-0.8320284759174683,-0.8222836098702828,-0.8132070964475133,-0.804719225214285,-0.7967745043533796,-0.7883805825986201,-0.7802980799042416},
+{-1.2704887201152815,-1.177415662779822,-1.1131392226770913,-1.0583213131303637,-1.0147409285009417,-0.9795840312208384,-0.9523921783056721,-0.9313177722633554,-0.9137882127361081,-0.8974194747115689,-0.8822847004967116,-0.8685311209374049,-0.8560258712968789,-0.8445671100234904,-0.8340306396312371,-0.824265829534852,-0.8151703687253757,-0.8066647326522798,-0.7987032526580151,-0.7902916226921661,-0.782187649194384},
+{-1.2723391988488402,-1.179737163196478,-1.115527762457532,-1.0606759634147238,-1.017045883562787,-0.9818340437304869,-0.9546055784176133,-0.9334965841135272,-0.915946879807052,-0.8995456264619861,-0.8843834891940787,-0.8706047671439592,-0.858076103935673,-0.8465958938304539,-0.8360387225566228,-0.8262538945618871,-0.8171394304645219,-0.8086159776157729,-0.8006376897756127,-0.7922083074190596,-0.7840828159296507},
+{-1.2741958306050947,-1.1820657545904396,-1.1179234128649114,-1.0630376199505918,-1.0193576759393181,-0.9840907158823029,-0.9568254995865573,-0.935681897163704,-0.9181119178547306,-0.9016780638185082,-0.8864884749291377,-0.8726845536111796,-0.8601323866187158,-0.8486306936065375,-0.838052742772561,-0.8282478219571203,-0.8191142996711278,-0.8105729765757133,-0.8025778317878576,-0.7941306539032666,-0.7859835979706986},
+{-1.2760586327958663,-1.1844014584085016,-1.1203261945984195,-1.0654063032925478,-1.021676325845874,-0.9863540674632532,-0.9590519600824337,-0.9378737315055332,-0.9202833444387579,-0.9038168058232259,-0.8885996755489032,-0.8747704985180462,-0.8621947388237459,-0.8506715265702951,-0.8400727168227604,-0.8302476300650596,-0.8210949930053175,-0.8125357457556674,-0.804523696002434,-0.7960586784229235,-0.7878900142768543},
+{-1.2779276231067342,-1.1867442965312875,-1.122736128937504,-1.0677820346536464,-1.0240018536960633,-0.9886241179865465,-0.9612849781569821,-0.9400721059537318,-0.9224611776498932,-0.9059618704513923,-0.8907171097598621,-0.8768626212495292,-0.8642631778457144,-0.8527184094182303,-0.8420986627770617,-0.832253334523557,-0.8230815278238879,-0.8145043036493007,-0.8064752989630506,-0.7979923965503986,-0.7898020820302918},
+{-1.2798028192114543,-1.1890942906402415,-1.1251532371179565,-1.070164834735806,-1.02633428050558,-0.9909008880613328,-0.9635245724039123,-0.9422770401670277,-0.9246454348904081,-0.9081132763794812,-0.8928407960975164,-0.8789609387258679,-0.8663377219945687,-0.8547713583920995,-0.8441305967917287,-0.8342649530986819,-0.8250739208160667,-0.8164786642591935,-0.8084326567040989,-0.7999318239853892,-0.7917198189825285},
+{-1.2816842387264842,-1.1914514626678283,-1.127577540414677,-1.0725547245365306,-1.028673626442469,-0.9931843976137316,-0.965770761233216,-0.9444885541079202,-0.9268361343238212,-0.9102710435654444,-0.8949707531974127,-0.8810654706830974,-0.868418390471561,-0.8568303913798445,-0.8461685362944991,-0.8362825022031757,-0.8270721887438413,-0.8184588472577161,-0.8103957869825535,-0.8018769772243104,-0.7936432430924469},
+{-1.283571899427443,-1.1938158344191834,-1.1300090601262127,-1.074951725300707,-1.0310199121104233,-0.9954746664952836,-0.9680235629448362,-0.9467066667903055,-0.9290332941154702,-0.9124351906120864,-0.8971069997023733,-0.8831762351692305,-0.8705052009281644,-0.8588955240738869,-0.8482124980218941,-0.8383060001360718,-0.8290763495442661,-0.8204448671331193,-0.8123647061074735,-0.8038278728345176,-0.7955723721388495},
+{-1.2854658191827184,-1.1961874280350457,-1.1324478178858044,-1.0773558581777252,-1.033373158390532,-0.9977717152478363,-0.9702829966381614,-0.9489313983067404,-0.9312369315794058,-0.9146057364450826,-0.8992495545971906,-0.8852932505651552,-0.8725981722236611,-0.8609667736418487,-0.850262499985547,-0.8403354628480884,-0.8310864196610055,-0.8224367425627861,-0.8143394302478555,-0.8057845248531521,-0.7975072233348328},
+{-1.2873660158620623,-1.1985662656215936,-1.1348938350329263,-1.0797671440541308,-1.0357333861293228,-1.0000755639384806,-0.9725490810205883,-0.9511627684387349,-0.9334470654830511,-0.9167827003511775,-0.9013984365556098,-0.8874165361467021,-0.8746973232991877,-0.8630441572458949,-0.8523185580761492,-0.8423709080507251,-0.8331024167309806,-0.8244344897484552,-0.816319977877356,-0.8077469509698858,-0.7994478163200256},
+{-1.289272507278838,-1.200952369141305,-1.1373471330689426,-1.0821856045859022,-1.038100615825897,-1.002386233123616,-0.9748218344620909,-0.9534007965494311,-0.935663713287795,-0.9189661009968404,-0.9035536641404178,-0.8895461096217332,-0.8768026735087915,-0.8651276922373654,-0.854380690596372,-0.8444123535209656,-0.8351243584183976,-0.8264381258231879,-0.8183063652813871,-0.809715166749811,-0.8013941657536634},
+{-1.2911853115278973,-1.2033457609322795,-1.1398077338189978,-1.0846112608551266,-1.0404748690089036,-1.0047037428766998,-0.977101276043868,-0.9556455032789017,-0.9378868938911182,-0.9211559583345661,-0.9057152569785103,-0.8916819908627076,-0.8789142414971138,-0.8672173961385852,-0.8564489150321606,-0.8464598165028292,-0.8371522611432738,-0.82844766794733,-0.8202986091728235,-0.8116891887821112,-0.8033462917355791},
+{-1.29310444652765,-1.2057464632516712,-1.1422756588517586,-1.0870441343913626,-1.0428561660191917,-1.007028114087916,-0.9793874245906409,-0.9578969077283546,-0.9401166251063842,-0.923352290834373,-0.9078832335108018,-0.8938241972282412,-0.8810320458978822,-0.8693132846583467,-0.8585232474233635,-0.8485133137019147,-0.8391861417312612,-0.830463132720979,-0.822296725715205,-0.8136690314313455,-0.8053042110004753},
+{-1.2950299304361579,-1.2081544985785513,-1.1447509299350713,-1.0894842466423142,-1.0452445282326153,-1.0093593667115783,-0.9816802992399971,-0.960155030682472,-0.942352924923398,-0.9255551185779041,-0.910057612669334,-0.8959727488363569,-0.883156106556271,-0.8714153772416466,-0.8606037057343201,-0.8505728640648158,-0.8412260194199916,-0.8324845398274192,-0.8243007333094283,-0.8156547134985885,-0.8072679425131355},
+{-1.2969617813687364,-1.2105698893137742,-1.1472335689886677,-1.0919316188446828,-1.0476399766430404,-1.0116975215296407,-0.9839799190249323,-0.9624198915616944,-0.944595812154148,-0.9277644599369523,-0.9122384135898756,-0.8981276631984656,-0.8852864432137721,-0.8735236899228767,-0.8626903072545247,-0.8526384839824459,-0.8432719097854715,-0.8345119028890622,-0.8263106475642417,-0.8176462489100231,-0.8092375023970817},
+{-1.298900017457072,-1.2129926578654704,-1.149723597927732,-1.094386273039163,-1.0500425323416493,-1.014042599500499,-0.9862863032158202,-0.9646915108314715,-0.9468453054887505,-0.9299803348640125,-0.914425655731975,-0.9002889598723414,-0.8874230753790471,-0.875638241022898,-0.8647830694699223,-0.8547101912190556,-0.8453238317251817,-0.8365452412599552,-0.8283264875444729,-0.8196436546313635,-0.8112129090604867},
+{-1.3008446569247099,-1.2154228269600935,-1.1522210385865037,-1.0968482303660494,-1.052452216711572,-1.0163946205284446,-0.9885994703136021,-0.9669699080614009,-0.9491014225186518,-0.9322027619218716,-0.916619357694799,-0.902456657437142,-0.8895660212874645,-0.8777590476238402,-0.866882009042456,-0.8567880030277593,-0.8473818014135759,-0.8385845718657947,-0.8303482676601561,-0.8216469464150578,-0.813194180609571},
+{-1.3027957182071077,-1.2178604192995408,-1.1547259132867111,-1.099317512916059,-1.0548690508130676,-1.0187536062167055,-0.990919440282596,-0.9692551039415775,-0.9513641827015817,-0.9344317620507354,-0.9188195397127856,-0.9046307745829836,-0.8917153027250606,-0.8798861280047277,-0.8689871448696067,-0.8588719385206787,-0.8494458380337164,-0.8406299131256674,-0.8323760076309554,-0.8236561411504226,-0.8151813339482032},
+{-1.3047532194941596,-1.2203054574511043,-1.157238243898064,-1.101794142475228,-1.0572930563603222,-1.0211195766269157,-0.9932462326351015,-0.9715471187300864,-0.9536336042074254,-0.9366673533404537,-0.9210262195138057,-0.9068113303783321,-0.8938709378398926,-0.8820194998261286,-0.8710984932076826,-0.860962014477991,-0.8515159565431532,-0.842681280695615,-0.8344097235476511,-0.8256712542333844,-0.8171743865405006},
+{-1.3067171792490626,-1.222757964404991,-1.1597580527832179,-1.104278140349379,-1.0597242542271488,-1.0234925529248358,-0.9955798661085282,-0.9738459727186637,-0.9559097055662278,-0.9389095551596256,-0.9232394169612235,-0.9089983436424518,-0.8960329478431959,-0.8841591808395606,-0.8732160715990176,-0.8630582482164755,-0.853592177034443,-0.8447386938714772,-0.8364494315210322,-0.8276923025350698,-0.8191733562052832},
+{-1.3086876159791245,-1.2252179630422688,-1.162285362235707,-1.1067695291130804,-1.0621626664069481,-1.025872556185277,-0.997920361100114,-0.9761516860789925,-0.9581925064503594,-0.9411583879245882,-0.9254591519911628,-0.9111918331345805,-0.8982013527111121,-0.8863051895932585,-0.8753398980970815,-0.8651606592247845,-0.8556745149944618,-0.8468021696462529,-0.8384951507850928,-0.8297193025282468,-0.8211782610433147},
+{-1.3106645480843326,-1.2276854762867515,-1.1648201946545669,-1.109268330164923,-1.064608314135512,-1.0282596068664134,-1.0002677365564523,-0.9784642792801606,-0.9604820247732277,-0.9434138705728401,-0.9276854433519475,-0.913391818636228,-0.9003761719977774,-0.888457544035191,-0.877469990071404,-0.8672692644340714,-0.8577629901155888,-0.8488717250711488,-0.8405468964429019,-0.831752270252764,-0.8231891182640538},
+{-1.3126479942288825,-1.2301605271850349,-1.167362572422462,-1.111774566135864,-1.0670612192789122,-1.0306537265769293,-1.0026220121426377,-0.9807837731423206,-0.962778280092607,-0.9456760228749772,-0.9299183108123543,-0.9155983177461167,-0.9025574268816854,-0.8906162627135927,-0.879606365590007,-0.8693840817177261,-0.8598576194817724,-0.8509473789545154,-0.8426046882323135,-0.8337912218466954,-0.8252059448041109},
+{-1.3146379730110311,-1.232643138975618,-1.1699125179957264,-1.1142882586300402,-1.0695214031229625,-1.0330549358732242,-1.0049832083450383,-0.9831101878753543,-0.9650812915042479,-0.9479448645834054,-0.9321577732480364,-0.917811350132979,-0.9047451376845856,-0.892781363631002,-0.8817490423989511,-0.8715051297458558,-0.8619584201260295,-0.8530291475744889,-0.8446685425060423,-0.8358361743321439,-0.8272287588915788},
+{-1.3166345030817865,-1.2351333346805404,-1.172470054081714,-1.1168094298800497,-1.0719888874991739,-1.0354632557327932,-1.007351344673225,-0.9854435439701774,-0.9673910777601122,-0.9502204149030149,-0.9344038504732453,-0.9200309348889277,-0.9069393234640302,-0.8949528653192829,-0.883898037545805,-0.8736324256333319,-0.8640654094961064,-0.8551170490391087,-0.8467384759787819,-0.8378871436761983,-0.8292575773975841},
+{-1.3186376032358567,-1.2376311378111495,-1.175035203380503,-1.119338102369511,-1.0744636947101753,-1.0378787083045609,-1.009726441428029,-0.9877838629072357,-0.9697076587799529,-0.9525026941646502,-0.9366565618165623,-0.922257090698622,-0.9091400068573421,-0.8971307865231211,-0.8860533701390523,-0.8757659887414775,-0.8661786070060771,-0.8572111029588996,-0.848814506918643,-0.8399441466881399,-0.8312924174351792},
+{-1.3206472921801833,-1.2401365714022177,-1.1776079884411956,-1.1218742978662704,-1.0769458456752545,-1.040301313605596,-1.012108517615161,-0.9901311643388908,-0.9720310528391565,-0.9547917207946739,-0.9389159267866489,-0.9244898368342547,-0.9113472072949662,-0.8993151451195445,-0.8882150568642828,-0.8779058363670629,-0.8682980298399343,-0.859311325388262,-0.8508966519184469,-0.842007199426007,-0.8333332965685258},
+{-1.3226635888331657,-1.2426496591788236,-1.1801884324104321,-1.1244180391659029,-1.0794353629362377,-1.0427310935901914,-1.0144975945813712,-0.9924854691034852,-0.9743612801266863,-0.9570875158096896,-0.941181965145006,-0.9267291917331022,-0.9135609455133817,-0.90150596085914,-0.8903831162479037,-0.8800519869128038,-0.8704236952507927,-0.8614177343351912,-0.8529849299648049,-0.8440763192265877,-0.835380232809257},
+{-1.3246865120245275,-1.2451704245377186,-1.1827765579137122,-1.1269693487029144,-1.0819322685247243,-1.0451680696705807,-1.0168936919835687,-0.9948467988706398,-0.9766983602148684,-0.9593900985255459,-0.9434546959091676,-0.92897517455458,-0.9157812432422361,-0.9037032516916952,-0.8925575663051859,-0.8822044589433062,-0.8725556216722907,-0.8635303486389603,-0.8550793583417544,-0.8461515213712119,-0.8374332418134145},
+{-1.3267160808036351,-1.2476988910484579,-1.1853723881376936,-1.1295282484998097,-1.0844365841385297,-1.0476122626696451,-1.0192968303281305,-0.9972151741148991,-0.9790423122321954,-0.9616994886418979,-0.945734139506385,-0.931227804894661,-0.9180081202193833,-0.9059070370894915,-0.8947384259590763,-0.8843632716761931,-0.8746938270815008,-0.8656491852889303,-0.8571799542714871,-0.8482328236968897,-0.8394923421601561},
+{-1.328752314169833,-1.250235082378822,-1.187975946021652,-1.1320947615522527,-1.0869483321494045,-1.0500636947090243,-1.0217070300386695,-0.999590615314446,-0.9813931558819604,-0.9640157060402998,-0.9480203148596047,-0.9334871005103196,-0.9202415974250471,-0.908117335418865,-0.896925712166194,-0.886528441849805,-0.8768383288024779,-0.867774263228057,-0.8592867346487765,-0.850320242192538,-0.8415575495946541},
+{-1.3307952311379267,-1.252779022305731,-1.1905872549514243,-1.1346689104129837,-1.0894675346771692,-1.0525223870308764,-1.0241243118889543,-1.0019731444172066,-0.9837509117187437,-0.9663387703931221,-0.9503132416339213,-0.9357530811066681,-0.9224816965343052,-0.91033416584105,-0.8991194436057413,-0.8886999887836282,-0.8789891469696158,-0.8699055998586118,-0.8613997189113434,-0.8524137939075445,-0.8436288812954444},
+{-1.3328448508500514,-1.2553307345760913,-1.1932063379090323,-1.1372507175910869,-1.0919942137143153,-1.0549883609373865,-1.0265486961270653,-1.0043627811992337,-0.9861155986745871,-0.9686687019438978,-0.9526129403511732,-0.9380257652846922,-0.9247284368084365,-0.9125575475882215,-0.9013196388041251,-0.8908779316352593,-0.8811462973590096,-0.8720432139507466,-0.8635189245505899,-0.8545134961623262,-0.8457063556270441},
+{-1.3349011925656669,-1.2578902431350798,-1.1958332184703977,-1.1398402060640365,-1.094528391887252,-1.057461638294626,-1.028980203320316,-1.0067595480741147,-0.9884872371549136,-0.9710055200866918,-0.9549194300088857,-0.9403051723602402,-0.9269818405864498,-0.9147874992086145,-0.9035263162058982,-0.8930622872358072,-0.8833097997867299,-0.8741871223865019,-0.8656443686159037,-0.8566193641909194,-0.8477899874178547},
+{-1.3369642754814777,-1.2604575718723936,-1.1984679199485981,-1.1424373982017642,-1.0970700911902895,-1.0599422405239238,-1.0314188549855317,-1.009163465225356,-0.9908658470012597,-0.973349245126883,-0.9572327305813815,-0.9425913210179715,-0.9292419282537594,-0.9170240402690979,-0.9057394940209633,-0.8952530758597277,-0.8854796722534957,-0.8763373452311498,-0.867776070808759,-0.8587314157502988,-0.8498797954616748},
+{-1.3390341189115134,-1.263032744944212,-1.2011104657522083,-1.1450423174483149,-1.0996193346582004,-1.0624301900434148,-1.0338646716190851,-1.0115745545062964,-0.9932514487281878,-0.9756998973516602,-0.9595528624340659,-0.9448842303954734,-0.9315087201994174,-0.9192671900509595,-0.9079591905629059,-0.8974503158769949,-0.8876559321506647,-0.8784938991011586,-0.8699140471871942,-0.8608496673823538,-0.8519757943195145},
+{-1.341110742174351,-1.265615786327544,-1.2037608795480992,-1.1476549863382388,-1.1021761442461866,-1.064925507690532,-1.0363176739028859,-1.0139928367680113,-0.9956440622736409,-0.9780574955821066,-0.961879844271607,-0.9471839188026934,-0.9337822371235234,-0.9215169671115291,-0.9101854252694466,-0.8996540250227554,-0.8898385994671116,-0.8806568026757304,-0.8720583168487792,-0.8629741359000036,-0.8540780029834423},
+{-1.3431941647268104,-1.268206720267699,-1.2064191850458883,-1.1502754280008958,-1.10474054237784,-1.067428215781547,-1.0387778830154275,-1.0164183331544336,-0.9980437072099448,-0.9804220607238676,-0.9642136970469437,-0.9494904048224271,-0.9360624995861144,-0.9237733912013937,-0.912418215386424,-0.9018642226310476,-0.892027691086696,-0.8828260752052302,-0.8742088979961409,-0.8651048380233988,-0.8561864358507592},
+{-1.345284406056635,-1.2708055710718327,-1.2090854060224956,-1.1529036656665994,-1.107312552268013,-1.06993833614888,-1.0412453208191437,-1.0188510656043945,-1.0004504046482907,-0.9827936128349393,-0.9665544403742388,-0.9518037085945252,-0.938349529142215,-0.9260364816564106,-0.9146575807590125,-0.9040809278285451,-0.8942232266745123,-0.8850017342556384,-0.8763658087173098,-0.8672417914949619,-0.8583011126738711},
+{-1.347381485698861,-1.273412363017087,-1.21175956616662,-1.1555397221336534,-1.1098921959037398,-1.0724558906458697,-1.0437200076994486,-1.0212910551854293,-1.0028641747358051,-0.9851721718387125,-0.9689020937858004,-0.9541238485726353,-0.9406433450149052,-0.9283062572067138,-0.9169035398754204,-0.9063041583976883,-0.8964252238492918,-0.8871837965871237,-0.8785290666619403,-0.8693850114214001,-0.8604220475608599},
+{-1.3494854232176294,-1.2760271205606841,-1.214441689555315,-1.158183621063472,-1.1124794964962348,-1.0749809013659615,-1.046201965522414,-1.0237383232270076,-1.005285038078,-0.9875577580423851,-0.9712566784019145,-0.9564508432576986,-0.9429439687974082,-0.9305827380358096,-0.9191561111110786,-0.9085339343328087,-0.898633702625375,-0.8893722838038229,-0.8806986908693943,-0.8715345173513924,-0.8625492578212288},
+{-1.3515962382871294,-1.2786498681871308,-1.217131800099196,-1.1608353851543143,-1.1150744766509888,-1.0775133903161986,-1.0486912154119636,-1.0261928910276765,-1.0077130146146374,-0.9899503905435267,-0.9736182135293348,-0.958784711532644,-0.9452514195800177,-0.9328659423299541,-0.9214153131651983,-0.9107702743312984,-0.9008486803031701,-0.8915672119746887,-0.8828746997369308,-0.8736903235967475,-0.8646827615211805},
+{-1.3537139506606763,-1.2812806303873003,-1.2198299219098772,-1.1634950386114724,-1.117677159350933,-1.0800533796636955,-1.0511877790268045,-1.028654780893703,-1.010148125787964,-0.9923500906825211,-0.9759867196989944,-0.9611254731862573,-0.9475657186976605,-0.9351558907819708,-0.9236811671999021,-0.9130131974125106,-0.9030701760766533,-0.8937686008430319,-0.8850571115963248,-0.8758524494714948,-0.8668225731635175},
+{-1.355838580064301,-1.283919431942195,-1.222536079088968,-1.1661626040631745,-1.1202875674252937,-1.0826008914245904,-1.0536916778182785,-1.031124013619774,-1.0125903914831724,-0.9947568778206914,-0.9783622166632995,-0.9634731462247146,-0.9498868859609502,-0.9374526012234128,-0.9259536888239381,-0.9152627212515654,-0.9052982086996053,-0.8959764667270065,-0.8872459455760691,-0.878020909953193,-0.8689687115602283},
+{-1.357970146331354,-1.2865662974691077,-1.2252502961955543,-1.168838105199029,-1.122905723715121,-1.085155947763269,-1.056202934087196,-1.0336006114775955,-1.0150398327969015,-0.9971707733784569,-0.980744725011391,-0.96582775052957,-0.9522149413351144,-0.9397560949000763,-0.9282328995868738,-0.9175188668614283,-0.9075327981790906,-0.8981908319146896,-0.8894412190220464,-0.8801957237410534,-0.8711211929476121},
+{-1.3601086693997786,-1.2892212517454027,-1.2279725972621236,-1.1715215658814486,-1.125531651528945,-1.0877185711287893,-1.058721569050249,-1.036084595742068,-1.0174964703983278,-0.9995917962114618,-0.983134265323315,-0.9681893046581536,-0.9545499045125325,-0.942066389372485,-0.9305188171874761,-0.9197816518390027,-0.9097739620665379,-0.9004117112690437,-0.8916429510572925,-0.8823769076570898,-0.8732800338020752},
+{-1.3622541691693186,-1.2918843196985108,-1.2307030068996028,-1.1742130091670333,-1.1281653739679314,-1.0902887837855815,-1.0612476047081145,-1.0385759877626697,-1.0199603248820495,-1.0020199673581374,-0.9855308577316464,-0.970557828368328,-0.9568917961605621,-0.944383505233418,-0.932811461350866,-0.9220510956020007,-0.9120217201834748,-0.9026391258285003,-0.8938511605629174,-0.8845644781758892,-0.8754452519624465},
+{-1.364406665675233,-1.2945555262167545,-1.2334415496388829,-1.1769124595648464,-1.1308069142514796,-1.0928666081345,-1.063781062630369,-1.0410748097874603,-1.0224314177448832,-1.004455307016542,-0.9879345228837337,-0.9729333403029159,-0.9592406357151049,-0.9467074617696198,-0.935110851922218,-0.92432721825935,-0.9142760912072845,-0.904873093306378,-0.8960658665328083,-0.8867584535400965,-0.8776168639378739},
+{-1.3665661789591468,-1.29723489641583,-1.236188250167288,-1.1796199401414924,-1.133456295276119,-1.0954520666018652,-1.0663219658126764,-1.0435810838062025,-1.0249097696523677,-1.0068978362105554,-0.990345281223199,-0.9753158605126373,-0.9615964430104214,-0.9490382785388647,-0.9374170080300246,-0.9266100379900308,-0.916537094166415,-0.9071136333222967,-0.8982870880954579,-0.8889588510646718,-0.8797948876563169},
+{-1.3687327291909241,-1.2999224552568194,-1.238943132841996,-1.1823354747893973,-1.1361135404722518,-1.098045181366615,-1.068870335295287,-1.046094830839138,-1.0273954002859682,-1.0093475745034084,-0.9927631534701504,-0.9777054071364546,-0.9639592374478525,-0.9513759735673375,-0.9397299478496279,-0.9288995741680992,-0.9188047485149582,-0.9093607635404624,-0.9005148425003426,-0.8911656873351603,-0.8819793390921404},
+{-1.3709063366259215,-1.3026182280154899,-1.2417062228350915,-1.1850590881012977,-1.1387786737514034,-1.1006459758064011,-1.0714261942430312,-1.0486160733726138,-1.029888332628616,-1.0118045427916513,-0.995188160242833,-0.9801020012982917,-0.9663290390544717,-0.9537205679243925,-0.9420496918792196,-0.931195846562332,-0.9210790739161894,-0.9116145030147891,-0.9027491504784848,-0.8933789797738427,-0.884170236535283},
+{-1.3730870213539674,-1.3053222396856654,-1.2444775446738277,-1.187790802937343,-1.141451717927339,-1.103254471485343,-1.0739895641308976,-1.0511448331253632,-1.0323885862617317,-1.0142687618099444,-0.9976203219448507,-0.9825056613808556,-0.9687058670897386,-0.9560720806002792,-0.9443762591617997,-0.9334988738373795,-0.9233600885763735,-0.9138748714849498,-0.9049900301306479,-0.8955987468780222,-0.8863675980337575},
+{-1.3752748038623395,-1.3080345159423814,-1.2472571235730356,-1.1905306442386063,-1.1441326965104963,-1.1058706919448014,-1.0765604674215865,-1.0536811317215324,-1.034896183273304,-1.0167402508632222,-1.0000596598529228,-0.9849164070637926,-0.9710897409349855,-0.9584305310399941,-0.946709669977281,-0.9358086754000396,-0.9256478122224507,-0.9161418873227376,-0.9072375001233013,-0.8978250057334662,-0.8885714400275901},
+{-1.3774697044000277,-1.3107550818613163,-1.2500449844483228,-1.193278635833849,-1.1468216333441887,-1.1084946592891356,-1.0791389270361833,-1.0562249911690742,-1.0374111441251443,-1.0192190319503425,-1.0025061954929697,-0.9873342585979117,-0.9734806803244282,-0.960795938364754,-0.9490499434468802,-0.9381252715356823,-0.9279422647450701,-0.9184155692255445,-0.9094915810674138,-0.9000577741717279,-0.8907817816925672},
+{-1.3796717435070605,-1.3134839630629358,-1.2528411524881449,-1.1960348015600175,-1.1495185518142534,-1.1111263963284728,-1.0817249654428451,-1.0587764339034038,-1.039933490088515,-1.021705125196604,-1.004959948852047,-0.9897592360248382,-0.9758787051196123,-0.9631683227216854,-0.9513970993175462,-0.9404486810944945,-0.9302434659275605,-0.9206959372186247,-0.911752290381628,-0.9022970698206336,-0.8929986401617498},
+{-1.3818809416270597,-1.3162211849821688,-1.2556456529473508,-1.1987991664145738,-1.1522234758085688,-1.1137659264786635,-1.0843186050078657,-1.0613354817160143,-1.0424632425092568,-1.0241985515876877,-1.007420941883538,-0.9921913584821596,-0.9782838344835909,-0.9655477036230877,-0.9537511575817916,-0.9427789234832744,-0.9325514338997891,-0.922983009913878,-0.9140196487169305,-0.9045429104789946,-0.8952220340852364},
+{-1.384097319337343,-1.3189667733449824,-1.2584585110762418,-1.2015717540944024,-1.1549364290749509,-1.1164132722442446,-1.0869198687578319,-1.06390215672036,-1.0450004229496699,-1.026699331789132,-1.0098891942034243,-0.994630646893711,-0.980696088014156,-0.9679341000410204,-0.9561121373426431,-0.945116018086992,-0.9348661891253869,-0.9252768062397081,-0.9162936742086458,-0.9067953145458887,-0.8974519810435595},
+{-1.3863208972443317,-1.3217207536854403,-1.261279752061455,-1.2043525891640456,-1.1576574353930482,-1.119068456640889,-1.089528778609747,-1.0664764807243046,-1.04754505204437,-1.0292074862481968,-1.0123647290783993,-0.9970771207590587,-0.9831154846124264,-0.9703275325009599,-0.958480059145586,-0.9474599845343619,-0.9371877510511695,-0.927577346601538,-0.9185743869893486,-0.909054300533171,-0.89968850166224},
+{-1.3885516960745008,-1.3244831518522915,-1.264109401652604,-1.2071416964054151,-1.16038651843337,-1.1217315027370205,-1.0921453582905087,-1.069058475750353,-1.0500971515557467,-1.0317230365635623,-1.0148475667392631,-0.9995308008092252,-0.9855420446274366,-0.9727280195093044,-0.960854943115919,-0.9498108427924308,-0.9395161392039881,-0.9298846487599803,-0.9208618051270605,-0.9113198858049145,-0.9019316122085002},
+{-1.3907897365843382,-1.3272539936242538,-1.2669474852982603,-1.2099390997545925,-1.163123702404846,-1.124402433004434,-1.0947696309449384,-1.0716481646995817,-1.0526567429023999,-1.0342460033243697,-1.0173377287246694,-1.0019917072895623,-0.9879757874314237,-0.9751355817334115,-0.9632368087713985,-0.9521686124608095,-0.9418513731052371,-0.9321987333423749,-0.9231559495165129,-0.9135920890021225,-0.9041813332423771},
+{-1.3930350394421112,-1.3300333048136963,-1.2697940285652294,-1.2127448239480145,-1.1658690111962642,-1.1270812712755287,-1.0974016186592053,-1.0742455688869086,-1.0552238474083424,-1.0367764069615077,-1.0198352365860046,-1.004459860474526,-0.9904167320019042,-0.9775502377797238,-0.9656256760645192,-0.9545333127316553,-0.9441934729566128,-0.9345196189660783,-0.9254568385713355,-0.9158709286002704,-0.9064376827536762},
+{-1.3952876257717435,-1.3328211116640887,-1.2726490573049887,-1.215558894107744,-1.1686224689856317,-1.1297680406332802,-1.1000413450547057,-1.0768507107786718,-1.0577984871397348,-1.039314269886745,-1.0223401121220377,-1.0069352815244201,-0.9928648994791729,-0.9799720085720764,-0.9680215661155671,-0.9569049641049787,-0.9465424578793318,-0.9368473261547479,-0.9277644922403852,-0.9181564237114799,-0.9087006811078027},
+{-1.3975475163206283,-1.3356174398340954,-1.2755125971489178,-1.2183813347010073,-1.1713840999782406,-1.1324627640897234,-1.1026888330252405,-1.079463612901236,-1.0603806821109174,-1.0418596122308372,-1.0248523765312711,-1.0094179905026976,-0.9953203073073382,-0.9824009132862557,-0.9704244981312513,-0.9592835865041707,-0.9488983480350726,-0.9391818731837702,-0.9300789289118256,-0.9204485924619803,-0.9109703470912791},
+{-1.399814732174491,-1.33842231577637,-1.2783846741358502,-1.2212121706306789,-1.174153928346641,-1.1351654654572485,-1.1053441065414518,-1.0820842972279934,-1.0629704555740318,-1.044412456190912,-1.027372052647479,-1.011908009135368,-0.9977829780800676,-0.9848369718911272,-0.9728344929517334,-0.9616691993142013,-0.95126116406027,-0.9415232809242298,-0.932400169520406,-0.922747454538694,-0.913246700714808},
+{-1.402089294418147,-1.3412357654733569,-1.2812653143955686,-1.2240514264403828,-1.1769319779523357,-1.1378761672858673,-1.1080071879387106,-1.0847127866545634,-1.0655678282746521,-1.0469728216830845,-1.02989916126171,-1.0144053577132581,-1.0002529292396503,-0.9872802045938442,-0.9752515704367397,-0.9640618224675563,-0.9536309242175776,-0.9438715689066157,-0.9347282324106345,-0.9250530278914084,-0.9155297609904665},
+{-1.4043712240836612,-1.3440578152649323,-1.284154543661316,-1.2268991277715031,-1.1797182738155243,-1.140594893900925,-1.110678101724261,-1.0873491028851276,-1.0681728223280516,-1.0495407315811462,-1.0324337248366646,-1.0169100575567427,-1.0027301825630275,-0.9897306308503175,-0.977675751226343,-0.9664614762950805,-0.9560076497564296,-0.9462267569215328,-0.9370631376405072,-0.9273653321179154,-0.917819549133128},
+{-1.4066605424686713,-1.3468884913645525,-1.2870523880892506,-1.2297552988911775,-1.18251283972495,-1.1433216678251483,-1.1133568701843615,-1.0899932683241786,-1.0707854587944894,-1.0521162052900763,-1.034975765100171,-1.0194221303936501,-1.0052147576116113,-0.9921882708604244,-0.9801070562207315,-0.9688681805655506,-0.9583913601072709,-0.948588864544945,-0.9394049042184633,-0.9296843872016325,-0.9201160846241692},
+{-1.408957270819883,-1.3497278202266898,-1.2899588742247943,-1.2326199655744858,-1.185315700891806,-1.1460565139550454,-1.1160435180208879,-1.0926453059728374,-1.0734057603021938,-1.0546992670570035,-1.0375253042730037,-1.021941596569377,-1.0077066741359886,-0.9946531454297656,-0.982545505539747,-0.9712819563555968,-0.9607820751753025,-0.9509579118202964,-0.9417535524225968,-0.932010211290617,-0.9224193876616482},
+{-1.4112614303985538,-1.3525758283531104,-1.2928740279603517,-1.2354931525187567,-1.1881268808592722,-1.148799454447726,-1.1187380681803916,-1.0953052373624814,-1.076033747589463,-1.0572899357885035,-1.0400823645268247,-1.0244684785229765,-1.010205952783508,-0.9971252729756088,-0.9849911193850858,-0.973702822731866,-0.963179814585601,-0.9533339182944474,-0.9441091008939111,-0.9343428238553315,-0.9247294785127451},
+{-1.4135730426451119,-1.3554325422919646,-1.2957978760941842,-1.2383748849415497,-1.190946405105933,-1.1515505136630964,-1.1214405447226454,-1.0979730858234689,-1.0786694438647828,-1.0598882346803293,-1.042646968484405,-1.0270027977421705,-1.0127126144943759,-0.9996046755313728,-0.9874439193445141,-0.9761308008273772,-0.9655845995694108,-0.9557169048075593,-0.9464715703452384,-0.9366822459123796,-0.9270463782486331},
+{-1.4158921289908903,-1.358297988637787,-1.2987304449361545,-1.241265188727084,-1.1937742976388108,-1.1543097154026327,-1.1241509712745028,-1.1006488731854915,-1.0813128701829555,-1.0624941848946037,-1.0452191381791636,-1.0295445758602,-1.0152266788682027,-1.0020913719454256,-0.9899039248120971,-0.9785659100034536,-0.9679964495517197,-0.9581068913012132,-0.9488409794321342,-0.9390284961482394,-0.9293701062833861},
+{-1.4182187109599909,-1.3611721940205825,-1.3016717608843464,-1.244164088706384,-1.196610583772781,-1.1570770831694972,-1.1268693718757277,-1.1033326223350741,-1.0839640492104081,-1.0651078081846208,-1.0477988960101356,-1.032093834332045,-1.0177481672744761,-1.0045853836181777,-0.9923711572064349,-0.9810081721498136,-0.9704153848524584,-0.9605038982244878,-0.9512173482889921,-0.941381595466737,-0.9317006844194111},
+{-1.4205528101820164,-1.3640551851831333,-1.3046218510016843,-1.2470716106290638,-1.1994552880987612,-1.1598526412799401,-1.1295957703368913,-1.1060243557531066,-1.0866230027750134,-1.0677291262709332,-1.0503862643727189,-1.034650596217034,-1.0202771000986104,-1.0070867308349989,-0.9948456378388073,-0.9834576067405578,-0.9728414249129855,-0.9629079453879967,-0.9536006965263368,-0.9437415629927273,-0.9340381322290341},
+{-1.4228944482174484,-1.3669469890628534,-1.307580741651691,-1.2499877800810282,-1.2023084354004823,-1.1626364132916933,-1.1323301914344484,-1.108724095951402,-1.089289753639605,-1.0703581619964098,-1.0529812664244673,-1.0372148834339896,-1.022813498551841,-1.0095954339140008,-0.9973273871109996,-0.9859142346795124,-0.9752745914993284,-0.9653190532771987,-0.9559910440530075,-0.9461084191898408,-0.9363824722531717},
+{-1.4252436468150336,-1.3698476323961586,-1.3105484596389942,-1.2529126225545042,-1.205170050427114,-1.1654284231244674,-1.1350726577711612,-1.111431865261693,-1.0919643231027294,-1.0729949365104403,-1.0555839237422333,-1.039786718240066,-1.0253573833851988,-1.0121115127531084,-0.9998164254302537,-0.9883780767850112,-0.977714903658125,-0.9677372420992469,-0.9583884099065472,-0.9484821846599516,-0.9387337230618868},
+{-1.4276004278171968,-1.3727571423050904,-1.3135250321674903,-1.2558461637318032,-1.2080401587209053,-1.1682286952400318,-1.1378231952494389,-1.1141476872817293,-1.0946467345765996,-1.0756394715499482,-1.0581942605767836,-1.042366123316242,-1.0279087757771777,-1.0146349890728743,-1.002312774064194,-0.9908491533005872,-0.98016238238597,-0.9701625331508694,-0.9607928144068865,-0.9508628793555545,-0.9410919065703638},
+{-1.4299648129899651,-1.3756755454687664,-1.3165104858244376,-1.2587884292188392,-1.2109187846108398,-1.1710372531324538,-1.1405818275616184,-1.1168715837629861,-1.0973370100200555,-1.0782917895940045,-1.0608122986868693,-1.0449531208887493,-1.0304676970499713,-1.0171658832859976,-1.004816454333195,-0.9933274858740333,-0.9826170483629539,-0.9725949462299468,-0.9632042786397506,-0.9532505234947166,-0.9434570434950729},
+{-1.4323368243067307,-1.3786028694867127,-1.3195048481338745,-1.26173944509992,-1.2138059540357062,-1.1738541214908764,-1.1433485781581112,-1.119603577597445,-1.1000351719794708,-1.080951913343597,-1.0634380608844367,-1.0475477346335538,-1.0330341678309196,-1.019704215666934,-1.007327486802751,-0.995813094508776,-0.9850789212305244,-0.9750345019638189,-0.9656228192543495,-0.9556451386652043,-0.9458291544378881},
+{-1.4347164837090531,-1.3815391411417295,-1.322508145919528,-1.2646992373429384,-1.2167016915554996,-1.1766793243332359,-1.1461234727248666,-1.1223436918062362,-1.1027412432704295,-1.0836198644065007,-1.0660715706126211,-1.0501499868405517,-1.0356082106955,-1.0222500072486582,-1.0098458929969638,-0.9983060002905404,-0.9875480219252495,-0.9774812210689561,-0.9680484595428425,-0.958046745199681,-0.9482082606446056},
+{-1.437103813248541,-1.3844843878787287,-1.3255204064798818,-1.2676678316565813,-1.2196060229434806,-1.179512885879376,-1.1489065355926869,-1.1250919495887501,-1.1054552471505303,-1.0862956655091693,-1.068712851314558,-1.0527599016404565,-1.0381898470877786,-1.0248032797953783,-1.0123716940906888,-1.0008062255947152,-0.9900243718147976,-0.9799351248657331,-0.9704812173040409,-0.9604553647168359,-0.9505943821568508},
+{-1.43949883503592,-1.3874386367706393,-1.3285416572516624,-1.2706452542770421,-1.222518973167098,-1.1823548306747398,-1.1516977907049295,-1.1278483729547588,-1.1081772060879302,-1.0889793392070715,-1.0713619253383513,-1.0553775022017362,-1.0407790978733829,-1.027364053443307,-1.014904911033227,-1.0033137893242383,-0.9925079905497114,-0.9823962335121905,-0.9729211144167493,-0.9628710172364663,-0.9529875402567995},
+{-1.4419015713410772,-1.3904019154815614,-1.3315719256379452,-1.2736315311722137,-1.2254405676176248,-1.185205183162907,-1.154497263372832,-1.1306129856729967,-1.1109071428072639,-1.0916709069169883,-1.0740188157360535,-1.0580028111216961,-1.0433759850511706,-1.0299323492672556,-1.0174455648248113,-1.005828714070958,-0.9949988989483245,-0.9848645683705399,-0.975368169198191,-0.9652937232440308,-0.9553877538401139},
+{-1.4443120442838335,-1.393374251176283,-1.3346112388671827,-1.2766266890084808,-1.2283708319882862,-1.1880639680002787,-1.1573049777580309,-1.133385810035179,-1.1136450814756245,-1.0943703927732713,-1.0766835465346958,-1.060635852676569,-1.045980530572706,-1.0325081893697643,-1.0199936772642104,-1.0083510202985053,-0.9974971186384209,-0.9873401493041456,-0.9778224026795215,-0.9677235062317777,-0.9577950459206477},
+{-1.4467302763041516,-1.3963556715234517,-1.3376596247071575,-1.2796307535118103,-1.231309791421154,-1.1909312091665925,-1.1601209594864486,-1.1361668694862601,-1.1163910444975045,-1.0970778181144851,-1.0793561401842453,-1.0632766510043439,-1.0485927565860038,-1.0350915930084739,-1.0225492694444256,-1.0108807296637679,-1.0000026695233828,-0.9898229977170558,-0.9802838348605292,-0.9701603864577919,-0.9602094355905137},
+{-1.4491562896755568,-1.3993462040771192,-1.3407171109374758,-1.2826437512194389,-1.2342574720751145,-1.193806931580184,-1.1629452327124454,-1.138956187211079,-1.1191450554470066,-1.0997932068021328,-1.082036620064173,-1.065925230304856,-1.0512126845169405,-1.0376825839521189,-1.0251123629150243,-1.0134178636217257,-1.0025155732037092,-0.99231313535347,-0.9827524858119432,-0.9726043843002117,-0.9626309428495006},
+{-1.4515901069835309,-1.402345876515028,-1.3437837253377438,-1.2856657088177599,-1.2372138994105626,-1.1966911599483865,-1.165777822916425,-1.1417537861871097,-1.1219071375871863,-1.1025165805331198,-1.0847250105507555,-1.0685816138829978,-1.0538403370428568,-1.0402811815583846,-1.0276829791419004,-1.015962442927048,-1.0050358503413008,-0.9948105813982693,-0.9852283759973943,-0.9750555218070076,-0.9650595884231734},
+{-1.4540317506016436,-1.40535471644489,-1.3468594952373678,-1.2886966525020398,-1.2401790989624715,-1.199583919287761,-1.1686187548639282,-1.1445596898793156,-1.124677315412555,-1.105247962888825,-1.0874213339720882,-1.0712458270263596,-1.056475735953427,-1.042887408455499,-1.0302611389997764,-1.018514489476729,-1.0075635226075974,-0.9973153587270644,-0.9877115255294484,-0.9775138213481114,-0.9674953931480559},
+{-1.4564812431508471,-1.4083727516017461,-1.3499444489489179,-1.2917366087731352,-1.2431530966059654,-1.2024852342583472,-1.1714680535351363,-1.147373921214239,-1.1274556114185543,-1.107987376224628,-1.0901256143733917,-1.0739178933381481,-1.0591189035876596,-1.0455012857783004,-1.0328468647476257,-1.021074024727568,-1.0100986103352625,-0.9998274873141781,-0.9902019555884181,-0.9799793046095147,-0.9699383761053468},
+{-1.458938607399432,-1.411400009928002,-1.3530386144884687,-1.2947856047012465,-1.246135918652726,-1.2053951294437866,-1.1743257447615179,-1.1501965038187336,-1.1302420508345676,-1.1107348449459096,-1.0928378754524601,-1.0765978383187758,-1.0617698630685481,-1.0481228354419727,-1.035440178182398,-1.023641070965823,-1.0126411358942278,-1.0023469885363738,-0.9926996859958308,-0.9824519925732602,-0.972388557758677},
+{-1.46140386600473,-1.414436519433366,-1.3561420197293046,-1.2978436667035567,-1.2491275902284542,-1.2083136301735067,-1.1771918529848335,-1.1530274610140623,-1.1330366558522655,-1.1134903902930091,-1.0955581403923134,-1.0792856865464273,-1.0644286351434857,-1.0507520783157815,-1.0380411001679022,-1.0262156485023297,-1.0151911197317531,-1.0048738831592345,-0.9952047375682014,-0.9849319073273364,-0.9748459574839217},
+{-1.4638770417195701,-1.4174823078565169,-1.3592546931258767,-1.3009108219957852,-1.2521281381268636,-1.2112407616368728,-1.180066403989258,-1.155866816505295,-1.1358394520048023,-1.1162540369441558,-1.0982864337202045,-1.081981462521071,-1.0670952431337355,-1.0533890367878485,-1.0406496529321885,-1.0287977801053785,-1.0177485832664388,-1.0074081928287342,-0.9977171304544754,-0.9874190720602201,-0.9773105954027415},
+{-1.4663581574750424,-1.420537403407252,-1.3623766625378266,-1.303987096529454,-1.2551375875373196,-1.214176548000978,-1.1829494233879814,-1.158714593941113,-1.138650462626174,-1.119025806458012,-1.101022777667822,-1.0846851916885498,-1.0697697094256,-1.056033732400465,-1.0432658579811687,-1.0313874863550154,-1.0203135485426174,-1.009949938275895,-1.000236886075072,-0.9899135067043972,-0.9797824916877289},
+{-1.468847236235888,-1.4236018341680392,-1.3655079565623964,-1.307072518637142,-1.2581559658574406,-1.2171210158267058,-1.1858409360393125,-1.1615708169665595,-1.141469712867547,-1.1218057244386728,-1.10376719713895,-1.087396899045416,-1.0724520567546278,-1.058686187625426,-1.0458897368771432,-1.0339847902614565,-1.0228860369352333,-1.0124991404791217,-1.0027640251719276,-0.9924152342882735,-0.9822616645797098},
+{-1.4713443009441107,-1.4266756282522692,-1.3686486034730478,-1.3101671144650027,-1.261183298089236,-1.220074189157458,-1.1887409673345246,-1.164435509377654,-1.1442972252825712,-1.1245938119027414,-1.1065197151092434,-1.0901166095063672,-1.0751423072342732,-1.0613464233701961,-1.0485213123884023,-1.036589712732166,-1.0254660689370212,-1.0150558207260474,-1.005298567490172,-0.9949242775746825,-0.9847481342912943},
+{-1.473849374785459,-1.429758814080742,-1.371798631987076,-1.313270911368818,-1.2642196110828081,-1.223036093681003,-1.1916495438836137,-1.1673086951450387,-1.1471330264848802,-1.127390094108705,-1.1092803563205962,-1.0928443487318873,-1.077840483521868,-1.0640144623830565,-1.0511606055224547,-1.0392022766154696,-1.0280536679529177,-1.0176200005917053,-1.0078405346393993,-0.9974406573874148,-0.9872419202583842},
+{-1.4763624807383167,-1.4328514197877666,-1.3749580704770779,-1.3163839361950522,-1.2672649313899456,-1.2260067551560496,-1.194566690852298,-1.170190398588602,-1.1499771394846903,-1.1301945935592812,-1.1120491441197373,-1.095580142296967,-1.0805466082547355,-1.0666903268793249,-1.0538076375578385,-1.0418225022986007,-1.0306488548121706,-1.0201917011472688,-1.0103899480800465,-0.9999643963128619,-0.989743041118345},
+{-1.478883642144865,-1.4359534737986905,-1.378126947731289,-1.319506216694208,-1.27031928478209,-1.2289861983426817,-1.1974924334044772,-1.1730806432369718,-1.1528295893294853,-1.1330073341159732,-1.114826101980725,-1.0983240152600047,-1.083260704186614,-1.0693740385850106,-1.0564624330399965,-1.044450412655351,-1.033251651639148,-1.0227709440969193,-1.0129468284467293,-1.0024955165445135,-0.9922515165690129},
+{-1.4814128822918065,-1.4390650045061193,-1.3813052924624571,-1.3226377802584466,-1.2733826986204804,-1.2319744493543112,-1.2004267974389222,-1.175979453168111,-1.155690401645188,-1.1358283399149514,-1.1176112549110258,-1.101075993528866,-1.0859827938165836,-1.0720656205357955,-1.0591250113775459,-1.0470860306886607,-1.0358620802326186,-1.0253577495641366,-1.0155111971616861,-1.0050340407779004,-0.9947673652659432},
+{-1.4839502244876712,-1.4421860406246196,-1.3844931335152069,-1.325778654341775,-1.276455198722033,-1.23497153376411,-1.2033698098930472,-1.1788868541570992,-1.158559599896762,-1.138657634588526,-1.1204046264447243,-1.1038361019545846,-1.08871290017305,-1.074765094634131,-1.0617953963082982,-1.04972937689854,-1.0384801625750697,-1.0279521405609557,-1.0180830753834016,-1.0075799908554472,-0.9972906072216574},
+{-1.4864956921810517,-1.4453166104149204,-1.3876904995795485,-1.3289288657670113,-1.279536811851358,-1.2379774765704497,-1.206321494662916,-1.1818028687339392,-1.1614372095264116,-1.1414952414452273,-1.1232062401613803,-1.106604367008913,-1.091451045467693,-1.0774724825987505,-1.064473609194465,-1.052380474324309,-1.041105922035058,-1.030554136768842,-1.0206624841139273,-1.0101333894399431,-0.9998212600767147},
+{-1.489049308977883,-1.4484567427880393,-1.3908974201804085,-1.3320884431905142,-1.2826275649131276,-1.2409923044215248,-1.2092818797409564,-1.184727523193942,-1.1643232558471936,-1.1443411841755733,-1.1260161206701014,-1.1093808136956795,-1.094197252736194,-1.0801878082565963,-1.0671596721931564,-1.0550393438788888,-1.0437393785632594,-1.033163760581374,-1.0232494449628575,-1.0126942583046912,-1.0023593439436809},
+{-1.4916110983213002,-1.451606466262092,-1.394113923702207,-1.335257413207728,-1.2857274849138776,-1.244016042444855,-1.2122509897926648,-1.187660840783792,-1.1672177635136904,-1.1471954878888937,-1.1288342923871824,-1.112165467809973,-1.0969515440046962,-1.0829110930972092,-1.0698536091185815,-1.0577060093673936,-1.0463805563449569,-1.0357810333989619,-1.0258439793578873,-1.0152626198505459,-1.0049048777582357},
+{-1.4941810839400205,-1.4547658099299952,-1.3973400399781895,-1.338435804382243,-1.2888365977341891,-1.2470487166428939,-1.2152288512425002,-1.1906028473877086,-1.1701207573860302,-1.1500581754662562,-1.13166077853748,-1.114958354315604,-1.0997139430892275,-1.085642361027567,-1.0725554404780269,-1.0603804917700472,-1.0490294763822021,-1.0384059766147402,-1.0284461091578123,-1.0178384970658954,-1.0074578803796612},
+{-1.4967592894363406,-1.4579348021698024,-1.4005757979311966,-1.3416236443590606,-1.291954931239161,-1.25009035353105,-1.2182154898364388,-1.1935535676984728,-1.1730322637340578,-1.1529292722589162,-1.1344956038283271,-1.1177594989512727,-1.102484472674405,-1.088381633757308,-1.0752651891561982,-1.0630628146918752,-1.0516861616633832,-1.0410386120474868,-1.031055855914019,-1.0204219119950722,-1.0100183705544623},
+{-1.4993457388236493,-1.4611134722545103,-1.403821226837863,-1.3448209607468016,-1.295082512375302,-1.2531409784824064,-1.2212109325191705,-1.1965130270109512,-1.1759523065247777,-1.155808802408501,-1.1373387928761076,-1.1205689279940998,-1.1052631552684034,-1.0911289342202508,-1.0779828794766217,-1.0657529996478843,-1.0543506351605174,-1.0436789612285793,-1.0336732415653387,-1.023012887008008,-1.0125863681314513},
+{-1.501940455717886,-1.4643018490023678,-1.4070763562294815,-1.3480277821436175,-1.2982193677216856,-1.256200617948707,-1.2242152049802826,-1.1994812499688123,-1.178880912502791,-1.1586967886105413,-1.140190369411357,-1.1233866661368666,-1.1080500139087235,-1.0938842861360172,-1.080708532468634,-1.0684510689261515,-1.0570229190288956,-1.046327046235092,-1.036298287266618,-1.025611445074901,-1.0151618933432474},
+{-1.504543464308881,-1.4674999615835986,-1.4103412156209743,-1.3512441358252545,-1.3013655244212714,-1.2592692979687854,-1.2272283339025307,-1.2024582618087152,-1.181818106189894,-1.1615932571185112,-1.1430503577721538,-1.1262127370900998,-1.1108450700248795,-1.0966477111051063,-1.0834421707058937,-1.0711570450202998,-1.0597030349035776,-1.0489828875706735,-1.0389310150148958,-1.0282176071359572,-1.0177449642433203},
+{-1.507154788326261,-1.4707078387791626,-1.413615834405391,-1.3544700508409733,-1.304521010051758,-1.262347045196293,-1.2302503451155644,-1.2054440888732643,-1.1847639137176884,-1.1644982317302492,-1.1459187825148547,-1.1290471685661032,-1.1136483483624033,-1.0994192339876463,-1.0861838176806486,-1.0738709510642366,-1.0623910071444698,-1.0516465087548568,-1.0415714479822782,-1.0308313978930528,-1.0203356017173064},
+{-1.5097744522190624,-1.4739255102404059,-1.416900242513293,-1.3577055547484633,-1.307685851590577,-1.2654338854808884,-1.2332812649583502,-1.2084387559170864,-1.1877183595734095,-1.1674117366728751,-1.1487956672426662,-1.1318899839970982,-1.1164598706727702,-1.1021988765533024,-1.0889334963812871,-1.0765928088621877,-1.0650868570774037,-1.0543179301566852,-1.0442196066342149,-1.0334528380008123,-1.0229338246663247},
+{-1.5124024798315077,-1.477153004883803,-1.4201944693259065,-1.3609506759312353,-1.3108600765081064,-1.2685298454889562,-1.2363211207157292,-1.2114422895210737,-1.1906814699559618,-1.1703337973794987,-1.1516810375687783,-1.1347412096474727,-1.1192796612776874,-1.104986662932788,-1.0916912300726835,-1.0793226424048044,-1.0677906088913005,-1.0569971741351765,-1.0468755141773727,-1.0360819509915018,-1.0255396543016104},
+{-1.5150388955116796,-1.480390352185168,-1.4234985453549598,-1.3642054437041224,-1.3140437124202435,-1.2716349520887889,-1.2393699384429055,-1.2144547148345737,-1.1936532714025816,-1.1732644380990678,-1.1545749164124572,-1.1376008694478514,-1.1221077411501028,-1.1077826154451031,-1.0944570406390994,-1.0820604725231533,-1.0705022844722407,-1.0596842630038736,-1.0495391914628271,-1.0387187588348752,-1.0281531098407868},
+{-1.5176837235867424,-1.4836375814511484,-1.426812499843436,-1.3674698849408742,-1.3172367865481647,-1.2747492312337272,-1.242427744624365,-1.2174760579655413,-1.1966337884950917,-1.1762036838135828,-1.157477329199537,-1.1404689882638195,-1.1249441340769408,-1.1105867581700295,-1.0972309523331205,-1.0848063240428019,-1.0732219069177518,-1.062379218685237,-1.052210662739526,-1.0413632841373328,-1.0307742123040953},
+{-1.520336988463896,-1.486894721907447,-1.430136362925623,-1.3707440294820117,-1.3204393258929485,-1.2778727101103868,-1.2454945651916205,-1.2205063446144777,-1.1996230477870995,-1.1791515596087265,-1.1603882992640138,-1.1433455907153984,-1.1277888637032447,-1.1133991145652544,-1.100012987613809,-1.087560218242288,-1.0759494987360085,-1.065082063249065,-1.054889948130949,-1.0440155495816725,-1.0334029825717153},
+{-1.5229987145139603,-1.4901618036274158,-1.4334701647530892,-1.3740279057146836,-1.3236513594165444,-1.281005415108666,-1.2485704283808445,-1.2235456016242097,-1.2026210745407298,-1.1821080903409893,-1.1633078516151727,-1.1462307014226099,-1.1306419516986352,-1.1162197078192548,-1.1028031705118337,-1.090322178986753,-1.0786850831864285,-1.0677928188179067,-1.0575770712312078,-1.0466755774341436,-1.0360394414547045},
+{-1.525668926362414,-1.4934388555857367,-1.4368139355556195,-1.3773215416658786,-1.3268729134051682,-1.2841473730259167,-1.2516553600653424,-1.2265938553118758,-1.2056278946456587,-1.1850733013379795,-1.1662360094815085,-1.149124345065502,-1.133503422694048,-1.1190485618517414,-1.10560152382277,-1.0930922293064214,-1.0814286837648979,-1.070511507401534,-1.0602720536062407,-1.0493433897336217,-1.0386836104735266},
+{-1.5283476485774372,-1.4967259078603092,-1.4401677056466724,-1.3806249672252306,-1.3301040164824371,-1.287298611494407,-1.2547493873444182,-1.2296511317144905,-1.2086435347173392,-1.1880472178054333,-1.169172798834552,-1.152026546169509,-1.1363732987374533,-1.1218857003277662,-1.1084080714899756,-1.0958703919222899,-1.084180322714019,-1.0732381518009788,-1.0629749185009132,-1.052019009450305,-1.0413355106375093},
+{-1.5310349057508574,-1.5000229898078032,-1.4435315048049233,-1.3839382102378295,-1.333344696506174,-1.2904591565111332,-1.2578525370608986,-1.2327174577767437,-1.2116680208746402,-1.191029864748998,-1.1721182429591863,-1.154937328723463,-1.1392516036430607,-1.124731147154307,-1.1112228371021047,-1.0986566901810875,-1.0869400241899712,-1.0759727740969538,-1.0656856882251304,-1.0547024588631757,-1.0439951636981277},
+{-1.5337307228692225,-1.5033301314942946,-1.4469053639968479,-1.3872613007843029,-1.3365949811486644,-1.293629036499624,-1.260964836441417,-1.2357928599067236,-1.2147013787762262,-1.1940212684603466,-1.1750723662626115,-1.157856716621609,-1.14213835954979,-1.1275849257217487,-1.1140458439531358,-1.1014511475368636,-1.0897078103389504,-1.0787153971905354,-1.0684043852252216,-1.057393760776904,-1.0466625915705663},
+{-1.536435124576201,-1.5066473625456638,-1.4502893133940233,-1.3905942671153753,-1.339854898478734,-1.296808277384116,-1.2640863122524024,-1.2388773652455711,-1.217743633842474,-1.197021453634079,-1.1780351922770933,-1.1607847343202593,-1.145033591239553,-1.1304470599679917,-1.1168771158572781,-1.1042537872908724,-1.0924837039892736,-1.0814660430805816,-1.071131031791083,-1.0600929370593803,-1.0493378158535052},
+{-1.5391481358310557,-1.5099747130934702,-1.4536833839429164,-1.3939371381311503,-1.3431244765415613,-1.2999969068714563,-1.2672169922225294,-1.241971000441481,-1.220794813689281,-1.2000304463781504,-1.18100674638481,-1.163721406373952,-1.1479373215279338,-1.1333175741783634,-1.1197166771125922,-1.1070646326952556,-1.095267729337138,-1.0842247352265986,-1.0738656510275177,-1.0628000109463756,-1.0520208593479765},
+{-1.5418697816558051,-1.513312213079189,-1.4570876057769055,-1.3972899437485466,-1.3464037434841885,-1.3031949520573107,-1.2703569027999038,-1.2450737922772532,-1.223854943385959,-1.2030482720547298,-1.1839870518997486,-1.166666755645565,-1.150849572961306,-1.1361964919869934,-1.1225645508402522,-1.1098837071640446,-1.0980599088579766,-1.0869914956201683,-1.0766082656518847,-1.0655150043912727,-1.0547117429468926},
+{-1.5446000871179422,-1.5166598924288337,-1.4605020099534158,-1.400652713058662,-1.349692727373622,-1.306402440797683,-1.273506072395321,-1.248185768363328,-1.2269240505684138,-1.2060749566462619,-1.1869761337948148,-1.1696208067569387,-1.153770371050996,-1.1390838378938497,-1.1254207616548229,-1.1127110354900651,-1.1008602661568148,-1.0897663475188892,-1.079358897779457,-1.0682379402278457,-1.0574104917559453},
+{-1.5473390773013307,-1.520017781338538,-1.4639266272733948,-1.4040254754727357,-1.3529914568371169,-1.3096194006739097,-1.2766645274623443,-1.2513069556098344,-1.2300021610280965,-1.2091105263407371,-1.1899740158314671,-1.172583583591404,-1.156699737008239,-1.1419796359041356,-1.128285333421445,-1.1155466397722194,-1.10366882418748,-1.0925493138693128,-1.0821175709079398,-1.0709688410097442,-1.060117125744},
+{-1.550086777474462,-1.5233859101163034,-1.4673614882813126,-1.4074082602091949,-1.3562999602181662,-1.3128458591527306,-1.2798322965154512,-1.2544373814489518,-1.2330893002654193,-1.2121550067367934,-1.1929807220967632,-1.1755551102196478,-1.1596376960278576,-1.144883910095814,-1.131158290349049,-1.1183905448688165,-1.106485606294882,-1.0953404175743344,-1.0848843074945762,-1.0737077285139094,-1.062831668949002},
+{-1.5528432129040084,-1.526764308849124,-1.4708066243965732,-1.4108010967847804,-1.3596182652727293,-1.3160818433279928,-1.2830094062264834,-1.2575770733910758,-1.2361854957234755,-1.2152084242952697,-1.1959962762266514,-1.1785354109615582,-1.162584271723972,-1.147796685098001,-1.134039656011737,-1.1212427745085733,-1.1093106358093792,-1.0981396816969209,-1.087659131091641,-1.0764546272203006,-1.0655541445303243},
+{-1.555608409049455,-1.530153007917761,-1.4742620663437265,-1.4142040153328708,-1.3629464018013095,-1.3193273815795692,-1.2861958854900877,-1.260726058815635,-1.239290774170513,-1.2182708048221684,-1.1990207035923959,-1.1815245083362242,-1.1655394870522287,-1.150717984779476,-1.1369294553787768,-1.1241033516016614,-1.1121439355702023,-1.10094712942373,-1.090442063019509,-1.079209558383809,-1.0682845747342071},
+{-1.5583823912329535,-1.533552037642039,-1.4777278452529572,-1.417617044689905,-1.3662843970487302,-1.3225825016925228,-1.2893917613437225,-1.2638843653494405,-1.2424051619600505,-1.2213421753040166,-1.2020540278917906,-1.1845224278040405,-1.1685033670473786,-1.1536478340549365,-1.1398277125827008,-1.1269723017521756,-1.1149855303156073,-1.103762784428909,-1.0932331290678121,-1.0819725453620777,-1.071022983869625},
+{-1.5611651850713315,-1.5369614286837532,-1.4812039924927376,-1.4210402157186763,-1.3696322806372336,-1.3258472313445964,-1.2925970610904187,-1.2670520204064815,-1.2455286852837162,-1.2244225607209955,-1.2050962728280865,-1.187529192709917,-1.1714759347578365,-1.1565862569987075,-1.1427344520579936,-1.1298496484578209,-1.117835442924843,-1.1065866693788848,-1.0960323499093647,-1.084743611050726,-1.0737693944793136},
+{-1.563956816135942,-1.5403812115036999,-1.4846905393333145,-1.424473557204692,-1.3729900808084494,-1.3291215985900635,-1.2958118142360036,-1.270229052302966,-1.248661371628259,-1.2275119886271568,-1.2081474636488565,-1.190544827217309,-1.1744572143925325,-1.159533277996161,-1.1456496974587935,-1.1327354156728688,-1.1206936956677964,-1.109418808526243,-1.098839749742183,-1.0875227776941756,-1.076523830261067},
+{-1.5667573101700327,-1.5438114164544459,-1.4881875171122374,-1.427917099887054,-1.376357826649837,-1.332405631441361,-1.2990360477633658,-1.2734154888094054,-1.2518032476946246,-1.2306104853105353,-1.2112076240700844,-1.1935693559917127,-1.177447230742473,-1.1624889225167863,-1.148573474971272,-1.1356296289995953,-1.123560313049893,-1.1122592248721048,-1.1016553515946725,-1.090310069233965,-1.0792863154329098},
+{-1.5695666928741048,-1.5472520746197915,-1.4916949570833822,-1.4313708733898238,-1.3797355468359456,-1.3356993583238363,-1.3022697915857862,-1.27661135731978,-1.2549543398145033,-1.2337180775048182,-1.2142767790028302,-1.1966028021925013,-1.1804460072562506,-1.1654532144784753,-1.1515058078384754,-1.138532310802475,-1.1264353191891132,-1.1151079425908392,-1.1044791790191084,-1.0931055079145153,-1.0820568725557678},
+{-1.5723849901523863,-1.5507032165132841,-1.495212890975381,-1.434834907813638,-1.3831232702887064,-1.3390028070425615,-1.3055130719931185,-1.2798166860029596,-1.258114676180412,-1.2368347908050055,-1.2173549517137872,-1.1996451907816663,-1.1834535687503376,-1.1684261784848786,-1.1544467204203102,-1.1414434866837837,-1.1293187362880417,-1.1179649845125823,-1.1073112541071168,-1.095909117066185,-1.084835526526149},
+{-1.5752122278418028,-1.5541648729285953,-1.4987413504750293,-1.4383092338321148,-1.3865210268631927,-1.3423160068014113,-1.3087659185202938,-1.2830315040337155,-1.2612842823600658,-1.2399606532453618,-1.220442168369118,-1.2026965465647663,-1.1864699398774974,-1.171407840161919,-1.1573962387665233,-1.14436318195294,-1.1322105900344468,-1.1208303758048714,-1.1101516021353746,-1.0987209205632098,-1.087622301391093},
+{-1.5780484319629977,-1.5576370748922272,-1.5022803668634879,-1.4417938809256157,-1.389928844444512,-1.3456389847706305,-1.312028359654505,-1.2862558383731084,-1.2644631864714029,-1.2430956906464417,-1.2235384520226944,-1.205756893281432,-1.1894951444228354,-1.1743982232492272,-1.1603543865749089,-1.1472914200367086,-1.1351109018869465,-1.1237041390231752,-1.113000245190051,-1.101540940167979,-1.090417220695599},
+{-1.5808936287339748,-1.5611198532678827,-1.5058299724914832,-1.4452888799842185,-1.3933467529604968,-1.348971770135904,-1.3153004238884023,-1.2894897171408957,-1.26765141584292,-1.2462399307660235,-1.2266438287388155,-1.2088262564811885,-1.1925292078522034,-1.177397353687411,-1.1633211893149564,-1.1502282266465045,-1.138019697211348,-1.1265862989785091,-1.115857207800218,-1.1043692004896002,-1.093220309005119},
+{-1.583747844165373,-1.5646132390484127,-1.5093901985947014,-1.4487942617124645,-1.3967747817441705,-1.352314391588152,-1.3185821414026577,-1.2927331692571897,-1.270848996908171,-1.2493933993282553,-1.229758322077032,-1.2119046596981207,-1.1955721534523036,-1.1804052549832704,-1.1662966710991896,-1.1531736256492877,-1.1409369993016298,-1.1294768791012757,-1.118722512101158,-1.1072057244655298,-1.0960315898028057},
+{-1.586611104565236,-1.5681172634040195,-1.5129610776220943,-1.4523100558508304,-1.40021296012128,-1.3556668775945582,-1.3218735393220413,-1.295986222985448,-1.2740559573903738,-1.2525561241654941,-1.2328819577232935,-1.2149921295440436,-1.1986240070782515,-1.1834219538141042,-1.169280857546255,-1.156127643023865,-1.1438628319374402,-1.132375903918728,-1.1215961826746934,-1.1100505347530998,-1.0988510878360103},
+{-1.589483436286173,-1.5716319572411521,-1.516542641013075,-1.4558362936149933,-1.4036613169319025,-1.359029256625945,-1.325174646332016,-1.2992489064345136,-1.2772723247380782,-1.2557281317785964,-1.236014760866965,-1.2180886891746923,-1.2016847938084538,-1.186447474790839,-1.172273772484914,-1.1590903032738424,-1.1467972194459435,-1.1352833970086067,-1.1244782432513603,-1.1129036559923406,-1.1016788275283034},
+{-1.5923648656898877,-1.5751573523466504,-1.5201349214639777,-1.4593730057586072,-1.4071198829169589,-1.3624015579971456,-1.328485493973858,-1.3025212481734343,-1.2804981268727715,-1.258909449865314,-1.2391567553750065,-1.2211943647125736,-1.204754538151974,-1.1894818422988465,-1.1752754427197942,-1.1620616317504755,-1.14974018511748,-1.1381993828545092,-1.1273687178563705,-1.1157651110079314,-1.1045148320936278},
+{-1.5952554193117976,-1.578693479589674,-1.5237379507470905,-1.4629202219293802,-1.4105886865563662,-1.3657838103135873,-1.331806109754325,-1.3058032772460137,-1.2837333908446453,-1.2621001045918092,-1.242307967711895,-1.224309181501667,-1.2078332647743082,-1.1925250822641829,-1.1782858918486454,-1.1650416533466341,-1.1526917538321868,-1.1411238861255697,-1.1302676296654681,-1.1186349231993518,-1.1073591266540461},
+{-1.5981551237027816,-1.582240370413274,-1.527351761385944,-1.46647797481819,-1.4140677581908676,-1.3691760426463588,-1.3351365233611432,-1.3090950216119381,-1.2869781447679998,-1.2653001239141304,-1.2454684231124702,-1.2274331645730854,-1.2109209995669517,-1.1955772197125043,-1.1813051452245418,-1.168030393000663,-1.1556519498863054,-1.1440569305832469,-1.1331750024728535,-1.1215131163535261,-1.1102117354566872},
+{-1.6010640053755196,-1.58579805640602,-1.5309763851855678,-1.470046293690757,-1.4175571269024658,-1.3725782838973828,-1.3384767647203262,-1.3123965098166082,-1.2902324164042511,-1.2685095347715105,-1.248638146702433,-1.2305663402748905,-1.2140177673427388,-1.1986382798986597,-1.1843332285898214,-1.1710278769442084,-1.158620797083131,-1.1469985411040398,-1.1360908613405627,-1.1243997140991269,-1.11307268251403},
+{-1.6039820912792493,-1.5893665690937269,-1.534611855100593,-1.4736252106122265,-1.4210568235266692,-1.375990563288724,-1.3418268629739032,-1.3157077707601275,-1.2934962334365991,-1.2717283646197757,-1.251817164127715,-1.2337087334763055,-1.217123593114593,-1.2017082888560253,-1.1873701665499539,-1.174034129751817,-1.1615983193787542,-1.1499487411638256,-1.139015229200595,-1.127294739764693,-1.1159419919313223},
+{-1.6069094080494324,-1.5929459397138999,-1.5382582031215861,-1.477214756238027,-1.424566877016332,-1.379412910066094,-1.3451868481624842,-1.3190288328441966,-1.2967696235700714,-1.2749566403472272,-1.2550055012670782,-1.2368603698541847,-1.2202385027449054,-1.2047872707080387,-1.1904159849746065,-1.1770491765746556,-1.1645845415441727,-1.1529075563685183,-1.1419481307275419,-1.1301982174627483,-1.1188196875082213},
+{-1.6098459827544502,-1.5965362003780683,-1.5419154625087685,-1.480814961852957,-1.4280873180250637,-1.3828453539208567,-1.3485567501775222,-1.3223597254855122,-1.3000526153609826,-1.2781943890095135,-1.2582031844794983,-1.240021276540574,-1.2233625221379043,-1.2078752525994787,-1.1934707089185395,-1.1800730441118503,-1.167579488532283,-1.1558750104795763,-1.144889590155799,-1.1331101708510687,-1.1217057936737547},
+{-1.612791842223487,-1.6001373826511553,-1.5455836653090955,-1.4844258584125782,-1.4316181763315399,-1.3862879238313326,-1.3519365986103367,-1.3257004764091107,-1.3033452362797107,-1.281441639039258,-1.2614102392417408,-1.243191478693916,-1.2264956762137444,-1.2109722591085301,-1.196534363725732,-1.183105756446821,-1.1705831845574721,-1.158851128684546,-1.1478396317033912,-1.1360306235837925,-1.1246003343494522},
+{-1.6157470136031407,-1.6037495184064028,-1.5492628442025307,-1.4880474777455674,-1.4351594819800084,-1.389740649077794,-1.3553264242254954,-1.3290511156246794,-1.306647515264558,-1.2846984172156226,-1.2646266919928166,-1.246371003522654,-1.2296379905765207,-1.2140783165723406,-1.199606975513234,-1.1861473394710629,-1.173595654336168,-1.161835935414274,-1.1507982800630998,-1.138959599295049,-1.127503334377252},
+{-1.6187115240954881,-1.6073726392287426,-1.5529530325457017,-1.4916798515750997,-1.4387112659715058,-1.3932035602556425,-1.3587262561595708,-1.3324116714447882,-1.3099594803115906,-1.2879647512672818,-1.2678525695173448,-1.2495598757268453,-1.2327894914651552,-1.2171934501366195,-1.2026885689301707,-1.1891978193089017,-1.1766169219881704,-1.1648294549613638,-1.1537655594383978,-1.1418971228413284,-1.1304148160907062},
+{-1.6216854007770962,-1.6110067776198775,-1.5566542628057505,-1.4953230108658317,-1.4422735578973516,-1.3966766861267388,-1.3621361259956757,-1.335782172747713,-1.3132811593750375,-1.2912406694013043,-1.2710878981051792,-1.2527581234589888,-1.2359502048093418,-1.2203176864732086,-1.2057791705101408,-1.1922572211260558,-1.179647013421345,-1.1678317129553761,-1.1567414951259707,-1.1448432171273453,-1.1333348051302892},
+{-1.6246686709337155,-1.614651965154735,-1.560366567948222,-1.4989769864987466,-1.4458463882419892,-1.400160056671666,-1.365556062943142,-1.3391626481425192,-1.3166125815278065,-1.2945261977911287,-1.2743327039333963,-1.255965772741547,-1.2391201563259528,-1.223451051313532,-1.2088788061191735,-1.1953255709413497,-1.1826859529846843,-1.170842733601603,-1.1597261115402944,-1.14779790645116,-1.1362633239077695},
+{-1.6276613622576406,-1.6183082341276531,-1.5640899810314295,-1.502641811643116,-1.4494297877936333,-1.4036537016691,-1.3689860984850384,-1.342553127269639,-1.3199537750588206,-1.2978213651622355,-1.2775870147925161,-1.2591828502700082,-1.2422993720992963,-1.226593570152545,-1.2119874999680178,-1.198402893018283,-1.1857337656128948,-1.1738625415564456,-1.1627194328157202,-1.1507612152290676,-1.1392003964465403},
+{-1.6306635018936504,-1.6219756166165098,-1.567824535386535,-1.5063175172163028,-1.4530237867747928,-1.407157651216039,-1.3724262625819392,-1.3459536388054403,-1.3233047684188932,-1.3011261988358456,-1.280850857077894,-1.262409383247359,-1.2454878783810273,-1.2297452699531277,-1.215105279790805,-1.2014892146653438,-1.1887904771301692,-1.1768911626422778,-1.165721484911046,-1.1537331680465286,-1.1421460478231893},
+{-1.633675117654093,-1.6256541449347424,-1.5715702641336975,-1.5100041353725828,-1.4566284163392993,-1.4106719358260307,-1.3758765859456616,-1.349364211286229,-1.3266655904462823,-1.3044407272682292,-1.284124258781958,-1.2656453981162485,-1.248685701228169,-1.2329061770360568,-1.2182321709715325,-1.2045845610100514,-1.1918561122074607,-1.179928621304498,-1.168732292495406,-1.1567137887141143,-1.1451003012298315},
+{-1.636696236946591,-1.6293438515212983,-1.5753272004403698,-1.5137016980606859,-1.4602437067496794,-1.4141965843555226,-1.3793370994735596,-1.3527848749017721,-1.330036269771881,-1.307764977822444,-1.2874072463746415,-1.2688909219086781,-1.2518928678382508,-1.2360763167835103,-1.2213681991834164,-1.2076889570707863,-1.1949306963288109,-1.182974942277724,-1.1717518809491594,-1.1597031014425738,-1.1480631803806318},
+{-1.639726887652614,-1.6330447686577827,-1.5790953780287964,-1.517410237027434,-1.4638696893780434,-1.4177316287641588,-1.382807834452251,-1.35621565827023,-1.3334168362271157,-1.3110989787928702,-1.2906998483213101,-1.2721459831191169,-1.255109403969982,-1.2392557167622726,-1.2245133913966129,-1.2108024302397098,-1.1980142545544368,-1.1860301515735046,-1.174780275201556,-1.1627011312029936,-1.1510347099228966},
+{-1.642767097626347,-1.6367569287895094,-1.582874829933644,-1.5211297845198715,-1.4675063946924638,-1.4212770979956986,-1.3862888210842357,-1.359656590029772,-1.336807317684361,-1.3144427579463809,-1.294002092197843,-1.2754106073025469,-1.258335336120581,-1.2424444031948951,-1.2276677730023948,-1.2139250046948291,-1.201106813554361,-1.1890942739119055,-1.177817500754827,-1.165707902307986,-1.1540149136508262},
+{-1.6458168947292506,-1.6404803645991706,-1.5866655897825694,-1.5248603729414754,-1.471153853502983,-1.4248330226910184,-1.3897800906324846,-1.3631077000336518,-1.3402077431637736,-1.3177963430371165,-1.2973140057620185,-1.2786848223677225,-1.2615706912638416,-1.2456424015199445,-1.230831370314263,-1.2170567067842057,-1.2042083972155524,-1.1921673341148562,-1.1808635823836084,-1.168723438935558,-1.157003816226279},
+{-1.6488763069446577,-1.6442151087367165,-1.5904676914287847,-1.5286020344774442,-1.4748120977328654,-1.4283994340476056,-1.3932816747656034,-1.366569018076916,-1.3436181427932752,-1.321159763576361,-1.3006356174937537,-1.2819686562415882,-1.264815496337178,-1.2488497408321564,-1.2340042110790819,-1.220197562734029,-1.2073190328810597,-1.195249358559522,-1.1839185460885346,-1.1717477671572851,-1.1600014423402172},
+{-1.651945362305014,-1.6479611934591958,-1.5942811682944011,-1.5323548015676351,-1.478481158026625,-1.4319763618877914,-1.3967936039098277,-1.3700405717299873,-1.3470385450509639,-1.3245330465342704,-1.3039669557892921,-1.285262135852463,-1.2680697781033814,-1.2520664462190325,-1.2371863206135458,-1.2233475987104612,-1.2104387456110999,-1.1983403713475127,-1.1869824170662469,-1.174780910327172,-1.1630078164107545},
+{-1.6550240890237546,-1.6517186523387863,-1.5981060545382206,-1.536118706140769,-1.482161065498076,-1.4355638373854163,-1.400315909566416,-1.3735223918465636,-1.3504689790242992,-1.3279162206454203,-1.3073080490703433,-1.2885652891000063,-1.2713335634944087,-1.255292545289194,-1.2403777258950868,-1.2265068396045535,-1.213567561486343,-1.2014403986322577,-1.190055221750299,-1.1778228941147972,-1.166022963294381},
+{-1.658112515349785,-1.6554875175334018,-1.6019423835768976,-1.5398937813552038,-1.485851851217376,-1.4391618910594843,-1.4038486230565468,-1.3770145069102,-1.353909474271859,-1.3313093145879975,-1.3106589264953072,-1.2918781424086774,-1.2746068792530423,-1.258528064146958,-1.243578453149894,-1.2296753112750594,-1.2167055060508574,-1.2045494654412323,-1.193136983898512,-1.1808737430765177,-1.16904690771662},
+{-1.6612106696156843,-1.6592678225388227,-1.6057901898602722,-1.5436800596235116,-1.489553547653486,-1.4427705543330376,-1.4073917759415053,-1.380516947572687,-1.3573600609033747,-1.3347123570765689,-1.3140196171552816,-1.29520072530795,-1.27788975335352,-1.2617730314723303,-1.2467885303194635,-1.2328530413360568,-1.2198526061529265,-1.2076675983989844,-1.1962277307702607,-1.1839334817123017,-1.1720796752942988},
+{-1.6643185802222433,-1.6630595998976787,-1.609649506981441,-1.547477573822107,-1.4932661853526952,-1.4463898574940686,-1.410945399395132,-1.3840297420829302,-1.360820767653422,-1.338125376656535,-1.3173901502505032,-1.2985330639894528,-1.2811822128933272,-1.2650274738134613,-1.2500079833716882,-1.2360400548895996,-1.2230088873020577,-1.2107948219418176,-1.1993274869710149,-1.1870021362956322,-1.1751212906747242},
+{-1.6674362756994014,-1.6668628829556837,-1.61352036921744,-1.5512863569892943,-1.4969897966348071,-1.4500198324967641,-1.4145095253588806,-1.3875529207816726,-1.364291624573525,-1.3415484019224095,-1.3207705552613334,-1.3018751865838567,-1.284484284447899,-1.2682914179895306,-1.2532368395168305,-1.239236377650741,-1.2261743755097996,-1.2139311622413516,-1.2024362790907617,-1.1900797306807362,-1.1781717788162496},
+{-1.6705637846607715,-1.6706777048912045,-1.6174028109071514,-1.555106441010139,-1.5007244124772114,-1.4536605096927815,-1.4180841843099188,-1.391086513236587,-1.3677726611658727,-1.3449814616524236,-1.3241608620373881,-1.3052271212691267,-1.2877959960151202,-1.2715648918074294,-1.2564751265708765,-1.2424420365787228,-1.2293490981301147,-1.217076645252746,-1.205554132189718,-1.1931662900169613,-1.1812311654102814},
+{-1.67370113576726,-1.6745040988662367,-1.621296866253033,-1.5589378599943302,-1.5044700652870233,-1.45731192128369,-1.4216694089736848,-1.394630548722489,-1.3712639071072772,-1.3484245854997425,-1.3275611006829422,-1.3085888952500682,-1.2911173756601784,-1.2748479223555478,-1.259722870287078,-1.2456570573613135,-1.2325330801195378,-1.2202312968947808,-1.2086810716555192,-1.1962618397446931,-1.1842994760118017},
+{-1.6768483576906874,-1.6783420983065298,-1.6252025697212957,-1.5627806461525324,-1.5082267863926972,-1.4609740979740309,-1.4252652301584021,-1.3981850575892167,-1.374765392878544,-1.3518778020225,-1.330971301849786,-1.31196053673375,-1.2944484506951994,-1.2781405381902005,-1.262980099516426,-1.2488814663029189,-1.2357263493740902,-1.2233951426896965,-1.2118171245056146,-1.1993664047859056,-1.1873767360175407},
+{-1.6800054796403856,-1.6821917365396075,-1.629119955790884,-1.566634833921853,-1.511994608279565,-1.4646470714706084,-1.428871680096563,-1.4017500691425084,-1.3782771471560409,-1.355341140546443,-1.3343914950819453,-1.3153420734033716,-1.2977892483577307,-1.2814427662960952,-1.2662468403013918,-1.2521152901226742,-1.2389289310158347,-1.2265682085362641,-1.2149623152872664,-1.2024800104536553,-1.1904629706750711},
+{-1.6831725300598919,-1.6860530471585662,-1.6330490586715314,-1.5705004551291495,-1.5157735623197368,-1.4683308730018325,-1.4324887900238537,-1.4053256138431607,-1.3817992007825524,-1.3588146303955,-1.3378217114313884,-1.3187335321345017,-1.3011397971113183,-1.284754633978082,-1.269523121382008,-1.2553585550886055,-1.2421408520694968,-1.2297505212427495,-1.218116670677773,-1.2056026815116638,-1.1935582056175917},
+{-1.6863495384004636,-1.689926063791063,-1.6369899135916057,-1.574377543764058,-1.519563681571526,-1.47202553560237,-1.4361165918944607,-1.4089117214280122,-1.3853315839660354,-1.3622983011409815,-1.3412619824321155,-1.3221349428094982,-1.3045001245191088,-1.2880761699816503,-1.2728089697466203,-1.258611287581516,-1.2453621390141052,-1.2329421067624935,-1.2212802162648586,-1.2087344438768923,-1.1966624667093129},
+{-1.689536533674982,-1.6938108198355621,-1.6409425546335115,-1.5782661329012626,-1.5233649973815773,-1.4757310896075069,-1.4397551166857738,-1.4125084215011157,-1.3888743259449257,-1.3657921825542871,-1.3447123388759792,-1.3255463313053042,-1.30787025857353,-1.2914074011860066,-1.276104412814675,-1.2618735134601593,-1.2485928185469675,-1.2361429912380117,-1.2244529779491131,-1.2118753220911458,-1.1997757795124926},
+{-1.6927335449108796,-1.6977073493235366,-1.6449070168746402,-1.5821662567468593,-1.5271775422770588,-1.4794475675771537,-1.4434043975834356,-1.416115745298157,-1.392427457634767,-1.369296303815645,-1.3481728116566956,-1.3289677266966464,-1.3112502276544546,-1.2947483566640585,-1.2794094792334363,-1.2651452605095983,-1.2518329181348236,-1.23935320149576,-1.2276349820640462,-1.215025342615263,-1.202898170466142},
+{-1.6959406017040237,-1.7016156858444447,-1.6488833355397219,-1.5860779483446095,-1.531001348839709,-1.483175001860218,-1.4470644651410112,-1.4197337221685302,-1.395991008839701,-1.372810694940199,-1.3516434332759673,-1.3323991562283481,-1.314640059696103,-1.2980990636278875,-1.282724195967603,-1.2684265548978146,-1.2550824632908189,-1.242572763501812,-1.230826254515705,-1.218184530527651,-1.2060296649960947},
+{-1.6991577332037195,-1.7055358636971505,-1.6528715452295728,-1.5900012419479026,-1.5348364495512214,-1.486913424285376,-1.450735352233096,-1.4233623827931297,-1.3995650105407549,-1.376335386379651,-1.3551242353132693,-1.3358406482202554,-1.318039783367567,-1.3014595502554585,-1.2860485917753977,-1.2717174232202524,-1.2583414815671858,-1.2458017047865724,-1.2340268218176789,-1.2213529109249066,-1.209170290389011},
+{-1.7023849690622228,-1.709467916360154,-1.656871681148914,-1.5939361703312898,-1.538682876895109,-1.4906628667522455,-1.4544170896315336,-1.4270017574744998,-1.4031494924493018,-1.37987040781627,-1.3586152497027797,-1.3392922309649293,-1.3214494262756489,-1.3048298454141332,-1.2893826946201443,-1.2750178925762157,-1.2616099998995196,-1.249040051110569,-1.2372367105108424,-1.2245305103933788,-1.2123200717323925},
+{-1.7056223389599836,-1.71341187840153,-1.6608837785061041,-1.5978827684812131,-1.5425406634112733,-1.494423362062662,-1.4581097095251607,-1.4306518771209085,-1.4067444853026245,-1.3834157892633812,-1.3621165086933615,-1.342753931070547,-1.3248690174204967,-1.3082099763942097,-1.2927265320613515,-1.2783279892246355,-1.2648880446668045,-1.252287830107889,-1.2404559462993348,-1.2277173537077033,-1.2154790354798024},
+{-1.708869872237301,-1.7173677836035495,-1.6649078723548882,-1.601841069639704,-1.5464098419724905,-1.4981949424673076,-1.4618132444556977,-1.4343127716656454,-1.4103500199780683,-1.3869715612472646,-1.3656280447303288,-1.3462257778028288,-1.3282985850783007,-1.3115999719866522,-1.296080132960924,-1.2816477408450737,-1.2681756438742013,-1.255545068257561,-1.2436845556585467,-1.230913467508799,-1.2186472097273509},
+{-1.7121275987847184,-1.7213356663305603,-1.6689439983056218,-1.605811108076523,-1.5502904454242525,-1.5019776406952587,-1.4655277249366918,-1.437984472295284,-1.4139661259632703,-1.3905377541723283,-1.3691498903899628,-1.3497077988358797,-1.3317381579490757,-1.3149998609042086,-1.2994435256478027,-1.284977174600499,-1.2714728239061515,-1.2588117930718,-1.2469225657405332,-1.2341188771115412,-1.2218246208340133},
+{-1.7153955486310224,-1.7253155610942486,-1.6729921913974977,-1.6097929180359642,-1.5541825066429737,-1.5057714890153875,-1.4692531844702899,-1.4416670096325106,-1.4175928351887706,-1.394114399463433,-1.3726820785141172,-1.3532000214054278,-1.3351877640379826,-1.3184096706554556,-1.3028167376633064,-1.2883163168662577,-1.2747796114017547,-1.2620880311533256,-1.2501700031898508,-1.2373336087694042,-1.225011294343858},
+{-1.7186737514375636,-1.7293075022207631,-1.6770524876919808,-1.6137865337896073,-1.5580860590216616,-1.5095765208589,-1.4729896536282467,-1.4453604150367028,-1.4212301776042295,-1.3977015268628747,-1.3762246421028976,-1.3567024750645942,-1.338647433274673,-1.32182943094449,-1.306199799024398,-1.2916651959676528,-1.2780960349064117,-1.2653738102526404,-1.253426895098528,-1.2405576881392335,-1.2282072587931907},
+{-1.721962237425032,-1.7333115241617634,-1.6811249224792846,-1.6177919895781088,-1.5620011353057635,-1.5133927688602853,-1.4767371653342707,-1.4490647188667936,-1.4248781843016332,-1.401299167313482,-1.379777614651175,-1.3602151866616623,-1.3421171934187441,-1.3252591693762952,-1.3095927367539844,-1.2950238386601995,-1.2814221206535876,-1.2686691576109297,-1.256693267603623,-1.2437911412544054,-1.2314125409830012},
+{-1.7252610368177557,-1.7373276616053772,-1.6852095315152837,-1.6218093195166148,-1.5659277682170796,-1.5172202652483975,-1.4804957503274636,-1.4527799521183624,-1.4285368856926652,-1.4049073517762736,-1.383341028360519,-1.3637381846801873,-1.3455970732775313,-1.3286989141379308,-1.3129955797503499,-1.2983922721505223,-1.2847578956170764,-1.2719741000255453,-1.2599691483083006,-1.2470339941155544,-1.2346271677561163},
+{-1.728570179477174,-1.7413559492724744,-1.6893063505267492,-1.625838559184558,-1.5698659923255036,-1.5210590445967682,-1.4842654419499013,-1.4565061463345046,-1.4322063134295604,-1.4085261123182136,-1.3869149172332982,-1.3672714978765725,-1.349087102458725,-1.3321486957447632,-1.3164083571755327,-1.3017705246875266,-1.2881033884459612,-1.2752886657744966,-1.263254563929877,-1.2502862736309908,-1.237851167063127},
+{-1.731889696046892,-1.7453964217093016,-1.6934154152622796,-1.6298797418712638,-1.5738158400326938,-1.5249091381574544,-1.488046271044368,-1.4602433323962032,-1.435886497665706,-1.4121554785397166,-1.3904993135602126,-1.3708151532991906,-1.3525873092276015,-1.3356085405048361,-1.319831097518545,-1.3051586237052106,-1.29145862520636,-1.278612881545996,-1.2665495422043023,-1.253548004613549,-1.2410845652739226},
+{-1.7352196167903458,-1.7494491139750608,-1.697536762265372,-1.6339329028050997,-1.5777773451372923,-1.5287705809005274,-1.4918382703326643,-1.4639915412863047,-1.4395774705208169,-1.4157954835754936,-1.3940942523549893,-1.3743691806685092,-1.3560977233610174,-1.339078479064483,-1.3232638293320633,-1.3085565972069162,-1.2948236351166997,-1.281946775956385,-1.2698541102399759,-1.256819213685958,-1.2443273900080385},
+{-1.7385599722938423,-1.753514061203532,-1.7016704273428331,-1.6379980773908756,-1.5817505412669561,-1.5326434055550635,-1.4956414711632533,-1.4677508049990138,-1.4432792612260528,-1.4194461569004488,-1.3976997654372099,-1.3779336065326788,-1.3596183736026433,-1.3425585390559718,-1.3267065804848244,-1.3119644722319208,-1.2981984435045888,-1.2852903751845588,-1.2731682941866893,-1.26009992688887,-1.2475796686940157},
+{-1.7419107930390965,-1.7575912981974398,-1.705816446308745,-1.6420752995418297,-1.5857354620129627,-1.5365276454467676,-1.499455905821378,-1.471521155006485,-1.44699190251049,-1.423107532054928,-1.4013158875586669,-1.3815084614434454,-1.3631492887107015,-1.3460487502197793,-1.3301593817595858,-1.3153822777458117,-1.3015830796430237,-1.2886437078796007,-1.2764921229390893,-1.2633901711451472,-1.250841428840431},
+{-1.7452721096151436,-1.7616808599268552,-1.7099748553027894,-1.646164604670048,-1.5897321408610878,-1.540423334163279,-1.5032816061175254,-1.475302621956871,-1.4507154249859013,-1.4267796394960897,-1.4049426516703534,-1.3850937721490482,-1.3666904986985173,-1.3495491412941192,-1.3336222602847556,-1.3188100420447881,-1.304977570884148,-1.2920068013299897,-1.2798256238093018,-1.2666899727810232,-1.2541126973374048},
+{-1.7486439530221105,-1.765782782173119,-1.7141456913795992,-1.6502660281021235,-1.5937406122993707,-1.5443305058815895,-1.5071186044406204,-1.479095238571972,-1.4544498603045213,-1.4304625111926725,-1.4085800905195356,-1.3886895684499905,-1.3702420326044376,-1.3530597412936913,-1.3370952456280065,-1.3222477922099642,-1.3083819441835658,-1.2953796831770887,-1.2831688237492926,-1.2699993582009483,-1.257393501131446},
+{-1.752026354028203,-1.7698970998553705,-1.7183289904678531,-1.654379604226051,-1.5977609098154062,-1.5482491938055318,-1.5109669323719572,-1.4828990355217684,-1.4581952392218227,-1.4341561799883493,-1.4122282384250866,-1.392295878060395,-1.3738039197487524,-1.3565805788730358,-1.3405783666403295,-1.3256955575525353,-1.3117962284632085,-1.298762381382403,-1.286521750722386,-1.273318353763898,-1.2606838673746097},
+{-1.7554193435980778,-1.7740238486039743,-1.722524789183808,-1.6585053692942893,-1.6017930677317054,-1.5521794323612994,-1.5148266221913218,-1.4867140448350256,-1.4619515929389308,-1.4378606761383708,-1.4158871282124892,-1.3959127300167893,-1.3773761895517964,-1.360111683683499,-1.3440716514342057,-1.3291533656501997,-1.3152204511516175,-1.3021549234545091,-1.2898844321534852,-1.276646986936612,-1.2639838232062175},
+{-1.758822952769151,-1.7781630636163754,-1.7267331243547233,-1.6626433577275748,-1.6058371194849315,-1.5561212553056976,-1.518697705851082,-1.4905402985950786,-1.4657189531044423,-1.4415760337997199,-1.4195567933238635,-1.3995401539086743,-1.380958872150586,-1.3636530848289112,-1.3475751298701653,-1.332621245925111,-1.3186546402521344,-1.3055573379842826,-1.2932568964952225,-1.2799852846910653,-1.2672933959020156},
+{-1.762237212807122,-1.7823147808448994,-1.7309540324913542,-1.666793606191277,-1.6098931006090424,-1.560074696843003,-1.5225802153290715,-1.494377827973949,-1.4694973512996512,-1.4453022840934864,-1.4232372662263515,-1.4031781774556293,-1.3845519953647454,-1.3672048120242835,-1.3510888305027038,-1.3360992263187654,-1.322098823651686,-1.3089696512506634,-1.2966391709542222,-1.2833332734135183,-1.2706126112443599},
+{-1.7656621548558178,-1.7864790358798928,-1.735187550291812,-1.670956148980622,-1.6139610441496188,-1.5640397906481667,-1.5264741827159014,-1.4982266649967642,-1.4732868197424978,-1.4490394592594384,-1.4269285804948595,-1.4068268298378825,-1.3881555904426932,-1.3707668936585833,-1.3546127825957228,-1.3395873357003438,-1.3255530292208277,-1.3123918926521583,-1.3000312842068524,-1.2866909815038525,-1.273941496730913},
+{-1.7690978102737063,-1.7906558646172925,-1.7394337149908097,-1.6751310223862674,-1.61804098522407,-1.5680165718713397,-1.5303796407115442,-1.5020868421470368,-1.4770873879933788,-1.45278759174289,-1.4306307694623683,-1.4104861415362393,-1.3917696867538325,-1.3743393606600876,-1.3581470147400978,-1.3430856028990092,-1.3290172858360165,-1.3158240893062612,-1.3034332638471824,-1.2900584352555597,-1.2772800793045462},
+{-1.7725442105029288,-1.794845302863905,-1.7436925632919156,-1.6793182622313907,-1.6221329586060165,-1.5720050745840126,-1.5342966203188553,-1.505958390134765,-1.4808990891942813,-1.456546714529395,-1.4343438651576434,-1.4141561395044846,-1.3953943139968032,-1.3779222413177195,-1.3616915557850007,-1.346594056165486,-1.332491621189547,-1.3192662701894733,-1.3068451378312602,-1.2934356634377764,-1.2806283852114575},
+{-1.7760013871111369,-1.7990473866120738,-1.747964132535344,-1.6835179036861518,-1.626236997970409,-1.576005332686691,-1.5382251541850565,-1.5098413421110308,-1.4847219545299595,-1.4603168601261132,-1.43806790034796,-1.4178368546508864,-1.3990295020485064,-1.38151556567027,-1.365246435685549,-1.3501127251456637,-1.3359760647563235,-1.3227184617971943,-1.3102669346826588,-1.2968226925841009,-1.2839864414181648},
+{-1.7794693717860355,-1.8032621519687382,-1.7522484598139272,-1.6877299835359736,-1.6303531391804427,-1.5800173816987808,-1.5421652748063934,-1.5137357297280687,-1.4885560153834376,-1.4640980608910468,-1.4418029079024564,-1.4215283158828242,-1.4026752804475109,-1.385119363971171,-1.3688116827615886,-1.3536416386032215,-1.3394706434337422,-1.326180694055438,-1.3136986828067165,-1.3002195515036874,-1.2873542742581776},
+{-1.7829481961089186,-1.807489635375532,-1.7565455824442324,-1.691954537836864,-1.634481416314884,-1.5840412558609387,-1.5461170141607,-1.517641585014644,-1.4924013040526916,-1.4678903502499452,-1.4455489200045122,-1.4252305524405529,-1.4063316802967165,-1.3887336658626737,-1.3723873262115376,-1.3571808253218478,-1.34297538730425,-1.3296529942126654,-1.3171404110726144,-1.303626267823347,-1.2907319099504093},
+{-1.7864378919975934,-1.8117298727393063,-1.7608555378810706,-1.6961916016134637,-1.6386218646384805,-1.58807698979399,-1.5500804042476375,-1.5215589397466829,-1.4962578521299292,-1.471693760549897,-1.4493059686155902,-1.428943595083183,-1.4099987305889954,-1.3923585010034003,-1.3759733954757394,-1.3607303146782215,-1.3464903242729633,-1.333135390874304,-1.320592146990748,-1.3070428695955343,-1.2941193749811646},
+{-1.7899384914717302,-1.8159829006217478,-1.7651783634373714,-1.7004412122769281,-1.6427745185610547,-1.5921246186790086,-1.5540554770504968,-1.5254878269934125,-1.5001256910218217,-1.4755083245436253,-1.453074085593471,-1.4326674716176058,-1.4136764620598115,-1.3959938988664362,-1.3795699198035436,-1.3642901357252413,-1.3500154835783178,-1.3366279123874847,-1.3240539182370412,-1.3104693853001663,-1.2975166950272978},
+{-1.7934500263581867,-1.820248755548164,-1.7695140964751772,-1.704703405213877,-1.646939413896689,-1.5961841772423213,-1.5580422655693837,-1.5294282777122135,-1.504004853006336,-1.479334075598672,-1.4568533040564944,-1.4364022131976526,-1.417364904891656,-1.3996398910330754,-1.3831769283642643,-1.367860317677696,-1.3535508944260073,-1.3401305881543522,-1.3275257542700274,-1.3139058432243473,-1.3009238970844308},
+{-1.7969725288603513,-1.82452747401112,-1.7738627753133187,-1.708978217879121,-1.651116585599084,-1.6002557006740972,-1.5620408015056455,-1.5333803251360223,-1.5078953698557598,-1.48317104697162,-1.4606436546946497,-1.440147849614732,-1.421064089427091,-1.4032965070528007,-1.3867944510475354,-1.3714408904997981,-1.3570965855396935,-1.3436434463365003,-1.3310076833931817,-1.317352271385971,-1.304341006478353},
+{-1.800506031252553,-1.8288190929870325,-1.7782244372920104,-1.7132656861394935,-1.6553060693804582,-1.6043392243846029,-1.5660511175228748,-1.5373440010607737,-1.511797273387856,-1.4870192714079167,-1.4644451693329756,-1.443904409507013,-1.4247740465561947,-1.4069637768661778,-1.3904225160586066,-1.3750318824950227,-1.3606525857176166,-1.3471665148899774,-1.334499733593475,-1.3208086984195688,-1.3077680481910647},
+{-1.8040505658709662,-1.8331236490612355,-1.7825991206482286,-1.717565846920479,-1.6595078999725956,-1.6084347835458175,-1.5700732457626145,-1.5413193377407879,-1.5157105963189679,-1.4908787826752814,-1.4682578803949582,-1.4476719255017088,-1.4284948063777847,-1.4106417315924773,-1.3940611536418146,-1.3786333239131636,-1.3642189249949297,-1.3506998241373367,-1.3380019337400881,-1.3242751528341614,-1.3112050491363334},
+{-1.8076061649080657,-1.837441179108282,-1.7869868627713004,-1.721878736592771,-1.6637221128148667,-1.6125424134406785,-1.5741072182936477,-1.5453063680433843,-1.5196353696865117,-1.494749613746535,-1.4720818187342957,-1.451450425609437,-1.4322263998692506,-1.4143304015269678,-1.3977103929191799,-1.3822452438344044,-1.3677956326173444,-1.3542434027003765,-1.3415143115580577,-1.3277516629568709,-1.3146520342888834},
+{-1.8111728612575462,-1.8417717202191852,-1.7913877022201632,-1.726204391923602,-1.6679487442834215,-1.6166621488155215,-1.5781530680687865,-1.5493051236171596,-1.5235716259885521,-1.4986317973980476,-1.4759170151864964,-1.4552399409240024,-1.435968856974796,-1.4180298164428677,-1.4013702635693335,-1.3858676717045455,-1.3713827375904657,-1.357797278857106,-1.3450368955018348,-1.3312382576114032,-1.3181090288817359},
+{-1.8147506871864607,-1.8461153095267946,-1.7958016772263363,-1.730542850542406,-1.672187829592076,-1.6207940265576326,-1.5822108274878701,-1.5533156376714032,-1.5275193979559845,-1.5025253687781515,-1.4797635023041948,-1.4590405022790947,-1.439722210443506,-1.4217400093202741,-1.405040795702007,-1.3895006381262647,-1.3749802702695888,-1.3613614828391292,-1.348569715199119,-1.3347349658833991,-1.3215760586863325},
+{-1.818339675612151,-1.85047198414577,-1.8002288253192091,-1.734894149018146,-1.6764394047932,-1.6249380812314485,-1.586280529088981,-1.5573379419402045,-1.5314787170918862,-1.5064303597882827,-1.4836213103299087,-1.462852139300594,-1.4434864896484214,-1.425461009157516,-1.4087220182791498,-1.393144171734093,-1.3785882598058379,-1.3649360432646063,-1.3521127976855496,-1.3382418158798828,-1.3250531481280632},
+{-1.8219398592318612,-1.854841781561845,-1.804669186103638,-1.7392583242872206,-1.6807035056626773,-1.6290943490021164,-1.5903622047353565,-1.5613720696401288,-1.535449615728794,-1.5103468040688313,-1.4874904715834418,-1.4666748841009394,-1.447261726778379,-1.4291928472084692,-1.4124139615287277,-1.396798302537718,-1.3822067362762027,-1.3685209899813344,-1.3556661732036446,-1.3417588362244715,-1.3285403225090704},
+{-1.8255512709993127,-1.8592247389988188,-1.8091227971690387,-1.743635414099117,-1.6849801685348211,-1.6332628659165493,-1.5944558880783006,-1.5654180528181314,-1.53943212663944,-1.5142747367117408,-1.4913710164146323,-1.470508765503837,-1.451047952299632,-1.4329355554327776,-1.4161166548201436,-1.4004630606796127,-1.3858357292119763,-1.3721163521367998,-1.3592298693074554,-1.345286056279292,-1.3320376081428549},
+{-1.829173943961905,-1.8636208942607482,-1.81358969719804,-1.7480254554466228,-1.6892694287653285,-1.637443667417756,-1.5985616110210685,-1.5694759247726324,-1.5434262823127938,-1.518214189698483,-1.495262976270169,-1.4743538163111225,-1.4548451979462698,-1.4366891640711401,-1.4198301282158354,-1.404138475885702,-1.3894752686246647,-1.375722158842109,-1.3628039154609723,-1.3488235042459564,-1.3355450285234838},
+{-1.832807911186137,-1.8680302845732513,-1.8180699249860481,-1.752428485544442,-1.6935713236198353,-1.6416367895290023,-1.6026794055633218,-1.5735457172049792,-1.547432113886316,-1.5221651974679844,-1.49916638202194,-1.478210065741223,-1.4586534944501182,-1.44045370497588,-1.4235544113926153,-1.4078245779455756,-1.3931253841365105,-1.3793384401033109,-1.3663883401532075,-1.3523712090172921,-1.3390626100626832},
+{-1.8364532059777048,-1.8724529480932688,-1.8225635199414683,-1.7568445423748926,-1.6978858886341186,-1.6458422684172547,-1.6068093059639068,-1.5776274633208232,-1.5514496553805657,-1.5261277940480795,-1.503081265189394,-1.4820775457355921,-1.462472874280138,-1.4442292093499418,-1.4272895349640748,-1.4115213970690093,-1.3967861056771653,-1.3829652255917608,-1.369983172906359,-1.3559291999372363,-1.3425903767747513},
+{-1.8401098615950104,-1.876888922553917,-1.8270705199665827,-1.7612736631435837,-1.702213160777319,-1.6500601399602601,-1.6109513438441354,-1.581721195645514,-1.5554789387642813,-1.5301020127899392,-1.50700765743386,-1.4859562877827557,-1.4663033686156268,-1.4480157086927647,-1.4310355291272572,-1.415228963134723,-1.4004574633509037,-1.3866025445786363,-1.3735884421294031,-1.3594975053674716,-1.3461283553697285},
+{-1.8437779113810393,-1.8813382458811247,-1.8315909646589716,-1.7657158862530196,-1.7065531764455955,-1.6542904414291115,-1.6151055527461722,-1.5858269473428663,-1.5595199971539841,-1.534087888099748,-1.510945589210678,-1.489846322707308,-1.470145009470798,-1.451813235089503,-1.434792422927785,-1.4189473056067072,-1.4041394870619115,-1.3902504280486028,-1.3772041777920094,-1.3630761547756265,-1.3496765704512654},
+{-1.8474573888515806,-1.8858009562682128,-1.8361248926612461,-1.7701712489360943,-1.710905972035107,-1.65853320799215,-1.619271964967993,-1.5899447520096146,-1.5635728632805694,-1.5380854529357748,-1.5148950930706633,-1.4937476826453349,-1.473997828679785,-1.4556218201360025,-1.4385602489564917,-1.422676455895271,-1.407832208002219,-1.3939089055384102,-1.3808304097074142,-1.366665176970855,-1.3532350483183109},
+{-1.851148327958981,-1.8902770917811722,-1.8406723437419714,-1.7746397899645672,-1.715271585051596,-1.662788476805872,-1.6234506131859234,-1.5940746409978601,-1.5676375691546127,-1.5420947430702654,-1.5188561989089067,-1.497660398388689,-1.4778618577092857,-1.4594414957264235,-1.442339035391342,-1.4264164436208375,-1.411535654682666,-1.3975780058790406,-1.3844671667357034,-1.3702646009078308,-1.3568038137091207},
+{-1.854850761963462,-1.8947666906169616,-1.845233356976678,-1.779121546065653,-1.719650051507415,-1.6670562841263745,-1.627641531327754,-1.598216648621019,-1.571714148600222,-1.5461157904301217,-1.5228289396800392,-1.5015845016987441,-1.4817371292010648,-1.46327229358576,-1.4461288139573298,-1.4301672994588444,-1.4152498579169333,-1.4012577609646542,-1.38811447887565,-1.3738744569418486,-1.3603828933555633},
+{-1.8585647250665716,-1.8992697914036398,-1.8498079719993257,-1.7836165565367992,-1.7240414093485015,-1.671336666599018,-1.6318447519515757,-1.6023708076390903,-1.5758026345283724,-1.5501486307930463,-1.5268133460340323,-1.5055200250226335,-1.48562367514387,-1.4671142461302225,-1.4499296154936019,-1.4339290531097504,-1.418974848009384,-1.4049482001100841,-1.3917723759295768,-1.3774947722704383,-1.3639723123560543},
+{-1.8622902509778214,-1.9037864325000555,-1.8543962275234662,-1.7881248589146708,-1.7284456943416444,-1.6756296607709373,-1.6360603073408129,-1.6065371504537325,-1.5799030598718673,-1.5541932969299523,-1.5308094502797758,-1.509466999073993,-1.4895215280994307,-1.4709673851502885,-1.453741469696979,-1.4377017354345298,-1.4227106540711247,-1.4086493539034564,-1.3954408871140913,-1.3811255780346983,-1.3675720969695249},
+{-1.8660273736659292,-1.908316652805297,-1.8589981644199725,-1.792646492300264,-1.732862945233137,-1.679935303862294,-1.640288231890736,-1.6107157117457973,-1.5840154578108923,-1.5582498232797661,-1.5348172840658663,-1.513425457647827,-1.4934307198400347,-1.474831743620598,-1.457564409054612,-1.4414853767957538,-1.426457308796671,-1.412361252521805,-1.399120042729919,-1.384766902145202,-1.3711822745353857},
+{-1.869776127460682,-1.9128604905617976,-1.8636138215879328,-1.797181494488541,-1.737293198460975,-1.6842536322619708,-1.644528557513695,-1.6149065229710686,-1.588139861862146,-1.5623182445397106,-1.5388368799158343,-1.5173954313886497,-1.4973512829128595,-1.4787073532788781,-1.461398463059595,-1.4452800082872272,-1.430214840307599,-1.4160839258656779,-1.4028098732269427,-1.388418774928141,-1.3748028697482368},
+{-1.873536546687319,-1.917417985301654,-1.8682432391015027,-1.801729904862441,-1.7417364918910607,-1.6885846832374227,-1.648781318906913,-1.619109619216033,-1.5922763051312359,-1.5663985938663245,-1.5428682688216213,-1.5213769525507814,-1.5012832503889513,-1.4825942468778521,-1.4652436632532044,-1.4490856595402875,-1.433983279588574,-1.4198174050870875,-1.4065104082292237,-1.3920812247633876,-1.3784339108024142},
+{-1.877308665358214,-1.9219891753800766,-1.8728864568984136,-1.806291761178727,-1.7461928626998997,-1.6929284934194584,-1.6530465481955616,-1.6233250325913104,-1.5964248217587738,-1.5704909056894394,-1.5469114843963325,-1.5253700553894305,-1.5052266546226747,-1.486492456868291,-1.469100041758793,-1.4529023624345427,-1.4377626578389027,-1.4235617207559699,-1.41022167860865,-1.3957542812495376,-1.3820754234366177},
+{-1.8810925183133804,-1.9265741004674055,-1.877543515405705,-1.810867103151395,-1.7506623487788602,-1.6972851007758436,-1.6573242787471827,-1.6275527971247357,-1.6005854441755218,-1.574595214025976,-1.5509665574809333,-1.529374769419519,-1.5091815282939933,-1.4904020158355706,-1.4729676282513537,-1.4567301469578524,-1.4415530044461775,-1.4273169024745584,-1.4139437131743762,-1.3994379744799517,-1.3857274347246857},
+{-1.884888139726172,-1.931172799106207,-1.88221445425188,-1.815455968691822,-1.7551449878192216,-1.7016545415499422,-1.6616145453444915,-1.6317929469532828,-1.6047582075152604,-1.5787115527837159,-1.5550335221050773,-1.5333911301022454,-1.5131479041156126,-1.4943229559867177,-1.4768464556836989,-1.4605690445205255,-1.445354351286369,-1.4310829810965515,-1.417676543147536,-1.403132333587564,-1.3893899726390373},
+{-1.8886955644857153,-1.9357853109795542,-1.8868993139603845,-1.82005839775411,-1.75964081823804,-1.7060368536476744,-1.6659173796397226,-1.6360455146132153,-1.608943144316072,-1.5828399565343716,-1.559112410126545,-1.5374191688970313,-1.5171258150294307,-1.4982553104528051,-1.4807365546257643,-1.4644190864164557,-1.449166728903947,-1.4348599877594097,-1.4214201982504164,-1.4068373884656467,-1.3930630639624724},
+{-1.8925148272592196,-1.9404116756268195,-1.8915981350746733,-1.8246744287062029,-1.7641498769426107,-1.7104320738162642,-1.6702328156225121,-1.640310534156015,-1.613140288669456,-1.586980458767357,-1.5632032543198875,-1.5414589181709744,-1.5211152943302295,-1.5021991118592268,-1.4846379569571582,-1.4682803023897577,-1.452990167454118,-1.438647951476014,-1.4251747098714986,-1.410553167872422,-1.3967467363618198},
+{-1.8963459631204387,-1.945051932678325,-1.8963109582800826,-1.8293041016586358,-1.7686722034432023,-1.7148402406583045,-1.674560888146516,-1.6445880397932342,-1.6173496756964596,-1.5911330930630356,-1.5673060881472338,-1.5455104124630452,-1.5251163745997474,-1.5061543931042252,-1.4885506949940464,-1.4721527254005196,-1.4568246983617428,-1.4424469034092908,-1.428940107452945,-1.414279702516069,-1.4004410184461449},
+{-1.900189006769324,-1.9497061214024143,-1.9010378236744145,-1.833947455193993,-1.7732078353474208,-1.719261391364853,-1.6789016300317599,-1.6488780651307025,-1.6215713386536663,-1.595297893814859,-1.5714209441121056,-1.5495736830198439,-1.5291290890709206,-1.510121186314791,-1.4924747998993553,-1.4760363856294134,-1.4606703528188518,-1.4462568750859646,-1.4327164214046206,-1.4180170220934087,-1.4041459382897301},
+{-1.9040439934897222,-1.9543742818750616,-1.9057787724159425,-1.8386045287243178,-1.777756810259234,-1.723695562379362,-1.6832550741000887,-1.6531806436069019,-1.6258053116707742,-1.599474894510422,-1.5755478564460645,-1.5536487642566499,-1.53315347057287,-1.5140995247311366,-1.496410303418088,-1.4799313144612825,-1.4645271617773687,-1.4500778955116402,-1.4365036822782713,-1.421765156006586,-1.4078615245052788},
+{-1.9079109583817626,-1.9590564538248145,-1.9105338451190619,-1.8432753627403144,-1.7823191686875361,-1.7281427930356585,-1.6876212561819557,-1.6574958102428354,-1.6300516297069407,-1.6036641297305323,-1.5796868577890564,-1.557735689340916,-1.537189553346252,-1.5180894419681863,-1.5003572384994186,-1.4838375453728077,-1.4683951568404154,-1.453909996052971,-1.4403019211895298,-1.4255241362552624,-1.411587807138858},
+{-1.9117899367984137,-1.9637526776368759,-1.915303083102117,-1.8479599962902284,-1.7868949471485394,-1.7326031202173908,-1.6920002087463217,-1.6618235977348377,-1.63431032688095,-1.6078656320205482,-1.5838379815941153,-1.5618344913345936,-1.541237369630835,-1.5220909702038625,-1.5043156363681192,-1.4877551075878728,-1.472274369043589,-1.4577532076145872,-1.4441111678243033,-1.4292939912738802,-1.4153248145157704},
+{-1.9156809640335268,-1.968462993077992,-1.9200865270577196,-1.8526584686005663,-1.7914841858037107,-1.737076582183363,-1.696391966608644,-1.666164041565935,-1.6385814376499184,-1.6120794361704611,-1.5880012625239033,-1.5659452042782505,-1.5452969534890144,-1.5261041421981645,-1.5082855297332571,-1.4916840343248623,-1.4761648301682726,-1.461607560489938,-1.4479314539166808,-1.4330747524181788,-1.4190725768603443},
+{-1.919584075806597,-1.9731874405024428,-1.924884218184161,-1.857370820351207,-1.7960869225735223,-1.7415632166339492,-1.7007965633893036,-1.6705171747471468,-1.6428649968984246,-1.6163055755896494,-1.5921767332038144,-1.5700678606553993,-1.549368337400665,-1.5301289910094056,-1.512266950092453,-1.4956243574342807,-1.4800665714865318,-1.4654730855654634,-1.4517628083158343,-1.436866450432717,-1.422831124975346},
+{-1.9234993075242528,-1.9779260605846503,-1.929696198374586,-1.8620970909541938,-1.8007031968809315,-1.7460630619971198,-1.7052140329633403,-1.6748830322885624,-1.6471610395237803,-1.6205440838530194,-1.5963644287694478,-1.5742024958199181,-1.5534515559193096,-1.5341655499432818,-1.5162599309405778,-1.4995761084173864,-1.4839796248852508,-1.46934981436425,-1.4556052629232,-1.4406691161857452,-1.426600489015982},
+{-1.9274266950424135,-1.9826788934333308,-1.934522508576265,-1.8668373215587053,-1.8053330478014686,-1.7505761565316789,-1.7096444102535315,-1.6792616482835,-1.6514696004524012,-1.624794994288095,-1.6005643820899422,-1.5783491424845124,-1.557546642212401,-1.5382138512286474,-1.5202645034805755,-1.5035393202670093,-1.487904022433213,-1.473237776903261,-1.459458848919894,-1.444482781629631,-1.4303807001815585},
+{-1.9313662741424196,-1.9874459802758793,-1.9393631900748005,-1.8715915517223038,-1.809976514583468,-1.7551025381926593,-1.7140877289893979,-1.6836530576420046,-1.6557907146343496,-1.6290583412228443,-1.60477662912308,-1.5825078347734234,-1.5616536295201513,-1.5422739286041178,-1.524280700738018,-1.5075140244953218,-1.4918397951732913,-1.4771370054113504,-1.4633235960536695,-1.448307477585331,-1.434171789791435},
+{-1.9353180807283934,-1.9922273613519792,-1.9442182850634708,-1.8763598212171928,-1.8146336366044125,-1.759642245282521,-1.7185440243811172,-1.6880572942263825,-1.6601244177127228,-1.6333341579338594,-1.6090012024724274,-1.5866786071092065,-1.5657725520832173,-1.5463458151134546,-1.528308555323747,-1.5115002534403175,-1.4957869756763102,-1.481047531033255,-1.4671995360185974,-1.4521432354231365,-1.437973789194075},
+{-1.9392821510737122,-1.997023077616177,-1.9490878353135486,-1.881142171627289,-1.8193044529889448,-1.7641953166730673,-1.7230133302346076,-1.6924743932395359,-1.6644707447485416,-1.63762247809791,-1.6132381372444797,-1.5908614934087382,-1.5699034429962921,-1.5504295429018384,-1.5323480996121361,-1.5154980398365296,-1.4997455955635814,-1.4849693845535512,-1.4710866990753857,-1.4559900870372076,-1.441786731211323},
+{-1.943258520962445,-2.00183317005758,-1.9539718822124996,-1.8859386430976883,-1.8239890035056305,-1.7687617904703075,-1.727495681740038,-1.6969043890458124,-1.6688297307209723,-1.6419233357155463,-1.6174874688476848,-1.5950565281418676,-1.5740463368565543,-1.5545251464354806,-1.536399366614205,-1.5195074164039397,-1.503715687445947,-1.4889025987031346,-1.4749851166561712,-1.4598480658569315,-1.4456106487959914},
+{-1.94724722713363,-2.006657680392891,-1.9588704685957055,-1.8907492760699824,-1.8286873286124319,-1.7733417059753265,-1.73199111347094,-1.7013473164151947,-1.6732014123736008,-1.6462367641724995,-1.6217492302057508,-1.5992637446106528,-1.5782012665149523,-1.558632657812268,-1.5404623883077875,-1.5235284150512598,-1.5076972826864221,-1.4928472035826417,-1.4788948201203311,-1.4637172034344985,-1.4494455734457006},
+{-1.9512483056359997,-2.011496649000037,-1.9637836360616348,-1.8955741117006255,-1.8333994664171769,-1.777935100852119,-1.736499660726622,-1.7058032100740093,-1.6775858243254334,-1.6505627973965602,-1.6260234575311188,-1.6034831783908885,-1.5823682664704393,-1.562752110305155,-1.544537198729813,-1.5275610688186134,-1.5116904144597356,-1.496803232399543,-1.482815840645344,-1.4675975330974325,-1.4532915387535468},
+{-1.9552617930567067,-2.0163501179504237,-1.9687114267126162,-1.9004131900237553,-1.8381254587766307,-1.7825420145163662,-1.741021358226135,-1.710272105408876,-1.6819830030199228,-1.6549014685224392,-1.6303101850571693,-1.6077148637014034,-1.5865473713056417,-1.5668835370815941,-1.548623829468852,-1.5316054101640475,-1.5156951143144397,-1.5007707161275903,-1.4867482087902317,-1.4714890860668675,-1.4571485781198135},
+{-1.9592877259292436,-2.021218128311375,-1.9736538831239159,-1.9052665535073174,-1.842865344546226,-1.7871624857743882,-1.7455562406867102,-1.7147540368841874,-1.6863929844512313,-1.659252812853083,-1.6346094472137338,-1.6119588343026408,-1.5907386144099291,-1.5710269716910261,-1.552722313987033,-1.5356614722804807,-1.5197114150541893,-1.5047496876431978,-1.490691956198134,-1.4753918973947293,-1.4610167251739767},
+{-1.9633261411991043,-2.0261007220742613,-1.9786110475579335,-1.9101342417507112,-1.8476191638910677,-1.7917965537344571,-1.7501043445699906,-1.719249040381328,-1.6908158039550472,-1.6636168627883308,-1.6389212796202628,-1.6162151253884076,-1.594942029703816,-1.5751824471262807,-1.5568326855609484,-1.5397292870547972,-1.5237393494826392,-1.508740177629079,-1.4946471144539828,-1.4793059986986918,-1.4648960132471984},
+{-1.9673770754552606,-2.030997940864836,-1.9835829634102993,-1.9150162976366119,-1.852386957676572,-1.7964442570973915,-1.7546657040147693,-1.7237571500263584,-1.6952514986369351,-1.6679936536456808,-1.6432457172886643,-1.6204837720870273,-1.5991576519008959,-1.5793499962419446,-1.5609549762593815,-1.5438088883202,-1.5277789507817943,-1.5127422193108941,-1.4986137155792676,-1.483231425190752,-1.468786476758396},
+{-1.9714405658414762,-2.0359098265198554,-1.9885696727506001,-1.9199127616229816,-1.8571687665535137,-1.8011056359009672,-1.7592403556882346,-1.7282784020535473,-1.6997001044437638,-1.6723832189891255,-1.6475827947324433,-1.624764808697364,-1.6033855156383652,-1.583529653482401,-1.5650892198391375,-1.547900307828968,-1.5318302501909784,-1.5167558440589346,-1.50259179020577,-1.4871682092853007,-1.472688149962778},
+{-1.9755166490213014,-2.0408364210870786,-1.9935712182996213,-1.9248236746352632,-1.8619646299503074,-1.8057807281857094,-1.763828335540893,-1.73281283128199,-1.7041616576934757,-1.6767855932121165,-1.6519325476583617,-1.6290582711626485,-1.6076256549604295,-1.587721451291145,-1.5692354498314671,-1.5520035793633724,-1.5358932813214778,-1.5207810851425165,-1.5065813715118566,-1.4911163852993923,-1.47660106553667},
+{-1.9796053628697337,-2.0457777671181248,-1.9985876436257968,-1.9297490795215708,-1.8667745896364067,-1.810469574507806,-1.768429678204484,-1.737360473809531,-1.7086361953442974,-1.6812008102679101,-1.6562950101942988,-1.633364191493456,-1.6118781042569026,-1.5919254229738726,-1.573393698061409,-1.556118734584743,-1.5399680764639925,-1.5248179737136525,-1.510582489438093,-1.4950759871935588,-1.4805252597325307},
+{-1.9837067439630118,-2.0507339060332015,-2.0036189913571434,-1.9346890168671962,-1.8715986859424447,-1.8151722132643044,-1.7730444210883434,-1.7419213653502084,-1.7131237541834707,-1.6856289061179268,-1.6606702187054907,-1.6376826083942433,-1.6161428982923098,-1.5961416027967061,-1.577563999544509,-1.5602458075154573,-1.544054669135221,-1.5288665428633976,-1.5145951776321454,-1.4990470496777561,-1.4844607659506437},
+{-1.9878208298659956,-2.0557048811697314,-2.008665304778333,-1.9396435296530399,-1.876436960130377,-1.819888685058686,-1.777672600113874,-1.7464955408067908,-1.7176243706126115,-1.6900699135294417,-1.665058207428956,-1.6420135551416024,-1.6204200717220374,-1.6003700232176925,-1.581746386407758,-1.5643848305953725,-1.5481530923316313,-1.5329268249406596,-1.5186194673769933,-1.5030296066433948,-1.488407619537611},
+{-1.991947658328172,-2.060690734651871,-2.013726627401411,-1.9446126589937194,-1.8812894528564357,-1.8246190283607575,-1.782314250976924,-1.7510830360770342,-1.722138081338926,-1.6945238683620119,-1.6694590120569046,-1.64635706629997,-1.6247096597471682,-1.604610718684853,-1.5859408920478018,-1.5685358369628375,-1.5522633772779955,-1.5369988514758006,-1.5226553908250935,-1.5070236933206616,-1.4923658539919415},
+{-1.996087266896211,-2.0656915092349664,-2.0188030028220965,-1.9495964469333558,-1.886156205278894,-1.8293632842651277,-1.7869694110613636,-1.755683887808118,-1.7266649245102599,-1.6989908049254154,-1.6738726677904197,-1.6507131784783269,-1.629011696906673,-1.6088637227294385,-1.5901475501777895,-1.57269885961432,-1.5563855584041448,-1.5410826558654662,-1.5267029814749549,-1.5110293432771869,-1.4963355052786937},
+{-2.0002396929648967,-2.070707247559767,-2.023894474354165,-1.9545949362418469,-1.8910372591599298,-1.8341214915781165,-1.7916381179911696,-1.7602981320742401,-1.7312049369247688,-1.7034707597122178,-1.6782992094158544,-1.6550819261101424,-1.6333262183325132,-1.6131290683515545,-1.5943663943726278,-1.576873932073795,-1.5605196678006905,-1.5451782709969848,-1.530762270464038,-1.5150465913611697,-1.500316606641718},
+{-2.0044049748748876,-2.0757379927636066,-2.0290010857152083,-1.9596081685594982,-1.895932654833814,-1.8388936901865236,-1.7963204071802465,-1.7649258042583824,-1.7357581547330483,-1.7079637661336164,-1.6827386725271936,-1.6594633445711224,-1.637653259014769,-1.6174067892679886,-1.5985974574905413,-1.5810610865082708,-1.5646657377110387,-1.5492857275858114,-1.534833290206734,-1.519075472246186,-1.5043091944135085},
+{-2.008583150276536,-2.0807837882184685,-2.034122880832001,-1.9646361873310525,-1.900842435677987,-1.843679921445073,-1.8010163166254642,-1.7695669422100764,-1.7403246170215425,-1.7124698614061344,-1.6871910925219709,-1.6638574704738858,-1.64199285504219,-1.621696920836257,-1.6028407737976522,-1.5852603576167894,-1.5688238029615604,-1.5534050601236231,-1.538916074878216,-1.523116022330214,-1.5083133030821045},
+{-2.012774257334968,-2.085844676284978,-2.039259903922357,-1.9696790341367887,-1.9057666420612804,-1.8484802238453995,-1.8057258839817223,-1.7742215808721085,-1.7449043607521162,-1.7169890802797454,-1.6916565047831682,-1.6682643375024782,-1.6463450405462936,-1.6259994956926676,-1.607096377396374,-1.5894717778755876,-1.5729938941585715,-1.5575363002790255,-1.5430106570274802,-1.5271682743659767,-1.5123289675757405},
+{-2.0169783341507355,-2.0909207011773105,-2.0444121987675317,-1.974736751517412,-1.9107053158058989,-1.853294638420266,-1.8104491472731752,-1.7788897577265743,-1.7494974233013636,-1.721521458159259,-1.6961349439734477,-1.672683982844319,-1.6507098516085534,-1.6303145483143453,-1.611364300511923,-1.593695380644931,-1.5771760459028883,-1.5616794800916978,-1.547117069014348,-1.531232264056598,-1.5163562225861824},
+{-2.0211954190099277,-2.096011905963678,-2.0495798093343183,-1.9798093832414452,-1.9156584987904353,-1.8581232058841124,-1.81518614271954,-1.783571509149624,-1.754103842551558,-1.7260670319119527,-1.7006264455849305,-1.677116440343525,-1.6550873239539214,-1.634642112239817,-1.615644577308558,-1.597931200027233,-1.581370289390179,-1.5658346339550917,-1.5512353438207356,-1.5353080248314654,-1.520395104205818},
+{-2.025425550579712,-2.101118334356215,-2.054762780575402,-1.9848969712566031,-1.92062623334823,-1.8629659660418838,-1.8199369099147589,-1.7882668728925637,-1.7587236564468185,-1.7306258373209857,-1.7051310457063664,-1.6815617478714557,-1.6594774927762046,-1.6389822221208306,-1.6199372430201038,-1.6021792694991746,-1.585576659632352,-1.5700017934323114,-1.5553655151052226,-1.5393955923173053,-1.5244456466825795},
+{-2.0296687672207554,-2.106240029903347,-2.0599611565739906,-1.9899995590803883,-1.9256085619363148,-1.867822959780824,-1.8247014865555684,-1.7929758849240898,-1.7633569030185754,-1.7351979109771491,-1.7096487784474448,-1.6860199398724944,-1.6638803945461405,-1.6433349120670755,-1.6242423303665419,-1.6064396230613056,-1.5897951883198402,-1.5741809915562044,-1.5595076169483946,-1.54349500043827,-1.5285078858760244},
+{-2.0339251075947686,-2.111377037155762,-2.065174982204553,-1.9951171902703209,-1.9306055262459267,-1.8726942273497116,-1.8294799111426983,-1.797698583217425,-1.7680036206365912,-1.7397832893911982,-1.7141796798459836,-1.6904910526172898,-1.6682960647449363,-1.6477002170322521,-1.6285598732210929,-1.6107122940775298,-1.5940259093549685,-1.578372261417826,-1.5636616826122918,-1.54760628306758,-1.5325818574456207},
+{-2.038194610615392,-2.116529399097999,-2.0704043026053114,-2.000249906484896,-1.9356171688723407,-1.8775798095393839,-1.834272222549771,-1.8024350047344342,-1.7726638470121543,-1.7443820094013063,-1.7187237857106084,-1.6949751217252924,-1.6727245393121848,-1.6520781705876288,-1.6328899066320446,-1.61499731706499,-1.5982688558469818,-1.582575635457033,-1.5678277454644558,-1.551729474154854,-1.5366675960831344},
+{-2.042477314987991,-2.12169716063363,-2.075649161644833,-2.005397753093348,-1.9406435321398021,-1.8824797477500397,-1.8390784591647389,-1.8071851880486065,-1.7773376210934657,-1.7489941083658778,-1.7232811304347706,-1.6994721833070798,-1.6771658545767423,-1.6564688080761698,-1.6372324635340192,-1.6192947255185572,-1.602524060956057,-1.5867911473178538,-1.5720058391307248,-1.5558646061654144,-1.5407651378409355},
+{-2.046773259582551,-2.126880365793113,-2.080909604970657,-2.0105607720925036,-1.9456846592602233,-1.8873940826179023,-1.8438986609253334,-1.8119491701800143,-1.7820249818250886,-1.7536196237269905,-1.7278517503873445,-1.7039822738843213,-1.6816200477151142,-1.6608721643642639,-1.6415875794373278,-1.6236045542573265,-1.6067915591374913,-1.5910188302877941,-1.5761959982737608,-1.5600117143148964,-1.544874518593133},
+{-2.0510824840694113,-2.1320790594145365,-2.0861856776682544,-2.0157390085114457,-1.9507405927124637,-1.892322855488601,-1.848732866365026,-1.8167269884470443,-1.786725966790982,-1.7582585926320462,-1.7324356805329444,-1.7085054292656423,-1.6860871534518083,-1.6652882735179446,-1.6459552882988646,-1.6279268372309161,-1.6110713830275927,-1.5952587167412275,-1.580398256512126,-1.5641708303883206,-1.5489957737190707},
+{-2.0554050270293374,-2.1372932852827944,-2.0914774247339665,-2.0209325045834703,-1.9558113750899793,-1.8972661066873115,-1.8535811154579278,-1.8215186821471434,-1.7914406157724443,-1.7629110533380299,-1.7370329560617392,-1.713041685470671,-1.690567209803703,-1.6697171707965026,-1.650335624908621,-1.6322616093275428,-1.615363567314489,-1.599510840671428,-1.5846126483338594,-1.5683419879023859,-1.5531289393693442},
+{-2.059740928323663,-2.1425230887216458,-2.096784891989955,-2.0261413049483963,-1.9608970495755784,-1.9022238782454224,-1.8584434482254437,-1.8263242884058855,-1.7961689668300096,-1.7675770434580045,-1.7416436139428697,-1.7175910798687255,-1.6950602525976137,-1.674158891375555,-1.6547286231725593,-1.6366089041803207,-1.6196681448018353,-1.6037752350603114,-1.5888392074957665,-1.5725252189404273,-1.5572740507632261},
+{-2.0640902271843515,-2.1477685143872804,-2.102108124719962,-2.0313654536184913,-1.965997659299319,-1.9071962112338952,-1.8633199032810808,-1.8311438463206287,-1.8009110598941334,-1.7722566017328063,-1.746267687620275,-1.722153648159292,-1.6995663189591141,-1.6786134705325821,-1.6591343184663856,-1.6409687570667302,-1.6239851500140503,-1.6080519334536802,-1.5930779682639695,-1.5767205563788593,-1.5614311441640893},
+{-2.068452963270829,-2.153029607294229,-2.107447168586077,-2.0366049945241684,-1.9711132475749764,-1.9121831476441002,-1.8682105224397674,-1.8359773942502216,-1.8056669334073376,-1.7769497665867675,-1.7509052152599907,-1.7267294272169238,-1.7040854454753571,-1.6830809434468392,-1.6635527462494792,-1.645341202220152,-1.628314617810247,-1.6123409695210285,-1.5973289655339613,-1.5809280329813191,-1.5656002558171167},
+{-2.0728291762061417,-2.1583064124661178,-2.1128020696014573,-2.0418599721197097,-1.9762438579437003,-1.9171847283541865,-1.8731153448934492,-1.8408249711101234,-1.8104366272418702,-1.781656577699323,-1.7555562310517416,-1.731318454054417,-1.7086176698030613,-1.6875613452684775,-1.6679839401367644,-1.649726274463319,-1.6326565821509575,-1.6166423768445384,-1.601592233433621,-1.5851476806928986,-1.5697814213453967},
+{-2.0772189061208337,-2.1635989753249305,-2.118172873839285,-2.047130430732068,-1.9813895338211296,-1.9222009956447437,-1.8780344113110914,-1.8456866149354028,-1.8152201804077777,-1.7863770733820274,-1.7602207708878268,-1.7359207644476555,-1.7131630283911363,-1.6920547115187219,-1.672427936387976,-1.6541240085025493,-1.6370110762763943,-1.6209561885989388,-1.605867806414608,-1.5893795314295858,-1.5739746772524086},
+{-2.081622192696159,-2.1689073410179844,-2.1235596266560606,-2.0524164142643713,-1.9865503186665592,-1.9272319907140627,-1.8829677627763886,-1.8505623659293633,-1.8200176328791713,-1.7911112935798883,-1.764898871206242,-1.7405363966499863,-1.7177215589472326,-1.6965610782608564,-1.6768847700004699,-1.6585344397681183,-1.64137813576599,-1.6252824399925885,-1.6101557199799572,-1.593623617602134,-1.5781800587828911},
+{-2.0860390762500174,-2.174231555318329,-2.128962374963521,-2.0577179677839013,-1.991726255917456,-1.9322777559500537,-1.887915439223434,-1.8554522619524505,-1.8248290238698246,-1.7958592779687024,-1.7695905672553636,-1.7451653860553051,-1.7222932980548649,-1.7010804801466293,-1.681354475695116,-1.662957602260576,-1.645757794201927,-1.6296211639746616,-1.6144560071006708,-1.5978799713775516,-1.582397602567653},
+{-2.090469596640105,-2.1795716638171143,-2.134381164691149,-2.0630351359905035,-1.9969173899571615,-1.9373383331148943,-1.8928774825690198,-1.860356343586318,-1.8296543938558898,-1.8006210669555003,-1.7742958958260715,-1.7498077721938898,-1.7268782835853926,-1.7056129537304514,-1.6858370903501054,-1.6673935324179183,-1.650150087003567,-1.6339723944984144,-1.6187687038327567,-1.602148625490372,-1.5866273446263222},
+{-2.094913794320746,-2.184927711921773,-2.139816042723396,-2.0683679642625066,-2.002123765005308,-1.9424137649402837,-1.8978539338640985,-1.8652746496736654,-1.834493782480422,-1.8053967011073837,-1.7790148931526346,-1.7544635904450843,-1.7314765529918077,-1.7101585349737434,-1.6903326482643024,-1.6718422649464628,-1.6545550486480352,-1.6383361673506442,-1.6230938447697554,-1.6064296114491299,-1.5908693205092277},
+{-2.0993717099918285,-2.1902997463294014,-2.145267055264412,-2.073716496619454,-2.007345424244704,-1.9475040924480709,-1.9028448332792323,-1.8702072191845218,-1.8393472296302207,-1.810186220689502,-1.78374759439248,-1.7591328781963966,-1.736088144032692,-1.714717259437748,-1.6948411851662968,-1.6763038344979577,-1.6589727130776737,-1.6427125151094515,-1.6274314639704244,-1.6107229629888025,-1.5951235674547206},
+{-2.1038433841076767,-2.1956878126620722,-2.1507342497006903,-2.0790807786870573,-2.0125824130700494,-1.952609359366761,-1.9078502234660846,-1.8751540927514725,-1.8442147768037103,-1.8149896670256567,-1.7884940373478457,-1.7638156744469597,-1.7407130938554474,-1.7192891633349063,-1.6993627374358766,-1.680778277470381,-1.6634031153444084,-1.647101472979557,-1.6317815971269738,-1.6150287116070103,-1.5993901199144602},
+{-2.1083288570462173,-2.201091957203971,-2.156217672269122,-2.0844608555944433,-2.017834774696894,-1.95772960728209,-1.9128701452136738,-1.8801153101412638,-1.849096463080059,-1.819807082269108,-1.7932542574344552,-1.7685120151145384,-1.74535144015681,-1.7238742822119093,-1.703897340270487,-1.6852656285773264,-1.6678462908203073,-1.651503076955123,-1.6361442781999358,-1.6193468902965833,-1.6036690148284833},
+{-2.1128281699984655,-2.2065122262520163,-2.1617173701852153,-2.089856771974155,-2.023102553688659,-1.9628648790021543,-1.917904640220513,-1.8850909099492128,-1.853992328615277,-1.824638507241616,-1.7980282915159478,-1.7732219378558511,-1.7500032207826735,-1.7284726525540464,-1.7084450296788418,-1.6897659238420601,-1.6723022732476238,-1.655917359446903,-1.6405195428160368,-1.6236775317120191,-1.6079602878744481},
+{-2.1173413637225167,-2.211948666290482,-2.1672333911465103,-2.09526857495257,-2.0283857957547298,-1.9680152177134005,-1.9229537510291266,-1.8900809339211264,-1.8589024157481617,-1.829483984180115,-1.802816176070337,-1.7779454824412824,-1.7546684740991623,-1.7330843110757996,-1.7130058418551926,-1.6942791989495163,-1.6767710987005557,-1.6603443575622805,-1.644907425299607,-1.6280206701921998,-1.6122639756504213},
+{-2.121868479269324,-2.217401324345701,-2.1727657819083106,-2.100696308507395,-2.033684544812786,-1.9731806649833743,-1.9280175186067936,-1.8950854211761907,-1.8638267644055304,-1.8343435560709622,-1.8076179476993275,-1.782682684573956,-1.7593472364860645,-1.737709293334774,-1.7175798122225387,-1.698805488715152,-1.681252801015944,-1.6647841051672003,-1.6493079613137525,-1.6323763386280916,-1.6165801135502988},
+{-2.1264095579444984,-2.2228702468491974,-2.1783145903409604,-2.106140018981023,-2.038998845835522,-1.9783612650826399,-1.9330959854560206,-1.9001044124997861,-1.868765415132657,-1.839217264936451,-1.812433644223347,-1.7874335841588618,-1.764039547269931,-1.7423476364565431,-1.722166977255256,-1.7033448295260314,-1.685747416151571,-1.6692366385905189,-1.653721185419272,-1.6367445705764112,-1.620908737910213},
+{-2.130964641008177,-2.2283554805580934,-2.18387986360176,-2.111599751999165,-2.044328743018923,-1.98355705976428,-1.9381891927114339,-1.9051379472221015,-1.87371840832202,-1.8441051539957698,-1.817263300610648,-1.7921982170228148,-1.7687454426159093,-1.7469993754275492,-1.7267673721944448,-1.7078972558774694,-1.6902549772639759,-1.6737019925785717,-1.658147132195154,-1.6411253992046113,-1.625249884549703},
+{-2.1355337699260417,-2.2338570730898937,-2.189461649850273,-2.117075553676841,-2.0496742821724183,-1.9887680933534284,-1.9432971834721684,-1.9101860669870803,-1.8786857867089566,-1.84900726725391,-1.8221069559185707,-1.7969766238165903,-1.7734649616213574,-1.7516645484502078,-1.731381033634534,-1.712462804705865,-1.694775521678821,-1.6781802026671357,-1.6625858374682139,-1.6455188597647066,-1.629603589834005},
+{-2.1401169859964284,-2.239375070985261,-2.1950599967312883,-2.1225674701981916,-2.0550355088362267,-1.993994408287108,-1.9484200000224519,-1.9152488124454976,-1.8836675904458389,-1.8539236474825884,-1.8269646468179417,-1.8017688422514766,-1.778198142470501,-1.7563431910748477,-1.7360079977152054,-1.7170415108157613,-1.699309083105618,-1.682671305788972,-1.6670373359411315,-1.649924986399128,-1.6339698894480534},
+{-2.1447143311670516,-2.244909522265516,-2.200674952515328,-2.128075548040215,-2.060412467602873,-1.9992360481955984,-1.9535576839916757,-1.9203262225564686,-1.8886638613439573,-1.8588543394762382,-1.831836409844982,-1.8065749094530474,-1.7829450221142906,-1.7610353400559688,-1.7406483008235227,-1.7216334097647632,-1.7038556968982448,-1.6871753365194309,-1.671501662749506,-1.6543438135267934,-1.6383488201536238},
+{-2.1493258470545697,-2.250460473698695,-2.206306565172781,-2.1335998324429966,-2.0658052045491786,-2.00449305663642,-1.9587102780169516,-1.9254183391676634,-1.8936746403342113,-1.8637993866432225,-1.8367222826163925,-1.8113948656464345,-1.7877056388460915,-1.7657410322135547,-1.7453019785461947,-1.7262385372632707,-1.7084153986543242,-1.6916923314056476,-1.6759788531380764,-1.658775375897676,-1.642740416857123},
+{-2.1539515759413916,-2.2560279735971562,-2.2119548832524742,-2.1391403712841566,-2.071213764236745,-2.009765477003384,-1.9638778247026494,-1.930525203115394,-1.898699969315203,-1.8687588334651082,-1.8416223029962566,-1.8162287484483386,-1.7924800305736426,-1.7704603044439864,-1.7499690667318646,-1.730856929163565,-1.7129882229637587,-1.6962223269401875,-1.68046894184954,-1.6632197085345979,-1.6471447163057746},
+{-2.158591559447814,-2.2616120694401616,-2.2176199548339355,-2.1446972100075072,-2.0766381932480726,-2.0150533534615533,-1.9690603664639639,-1.9356468550176942,-1.9037398894070066,-1.8737327253984404,-1.8465365086885868,-1.8210765971962246,-1.7972682356376026,-1.7751931933999003,-1.754649602844438,-1.7354886213761347,-1.71757420627182,-1.700765359109937,-1.6849719644851575,-1.667676847504481,-1.6515617545228451},
+{-2.1632458402273187,-2.2672128091853665,-2.223301829128104,-2.150270396245105,-2.0820785375108244,-2.020356729179184,-1.9742579457924876,-1.9407833357436175,-1.9087944426864851,-1.878721106735611,-1.8514649370263214,-1.8259384504017362,-1.8020702911817352,-1.7799397356611735,-1.7593436220668082,-1.740133649094787,-1.722173382408073,-1.7053214643892716,-1.6894879565006704,-1.6721468267242017,-1.6559915675534285},
+{-2.167914460069369,-2.272830240563053,-2.229000554032609,-2.1558599760919606,-2.0875348421359377,-2.0256756478302123,-1.9794706051980029,-1.9459346861367521,-1.9138636706047691,-1.8837240228858718,-1.8564076257498527,-1.8308143466092588,-1.8068862357795297,-1.7846999680368754,-1.7640511616882577,-1.7447920485683426,-1.7267857886763522,-1.7098906795363291,-1.694016952525999,-1.6766296838213748,-1.6604341915844998},
+{-2.1725974618930195,-2.278464411952882,-2.234716179416864,-2.1614659962906444,-2.093007153522194,-2.0310101542454504,-1.9846983878342144,-1.951100947404484,-1.9189476155406737,-1.8887415182034601,-1.8613646134108421,-1.835704326236737,-1.81171610718593,-1.7894739280854992,-1.7687722575683438,-1.749463855416252,-1.7314114590699319,-1.7144730407817406,-1.69855898777314,-1.6811254527929123,-1.664889661842608},
+{-2.17729488797886,-2.284115371759981,-2.2404487537442037,-2.1670885049661592,-2.0984955173626076,-2.036360292298923,-1.9899413353232376,-1.9562821603467455,-1.9240463187452406,-1.893773639378196,-1.866335937025724,-1.8406084268463019,-1.8165599427993584,-1.794261652554269,-1.773506946672569,-1.7541491061310808,-1.7360504297212174,-1.719068585698551,-1.7031140980761847,-1.6856341706443345,-1.6693580153369112},
+{-2.182006781171367,-2.2897831687059806,-2.2461983263310685,-2.172727548679177,-2.1039999806089327,-2.0417261058501026,-1.9951994917755655,-1.9614783664001152,-1.929159822888323,-1.8988204310517176,-1.8713216357282363,-1.8455266884229786,-1.8214177814625145,-1.7990631781358388,-1.7782552653952735,-1.758847836197674,-1.74070273713005,-1.723677350255457,-1.707682317970466,-1.6901558740028122,-1.6738392876322905},
+{-2.1867331841694977,-2.2954678507976496,-2.2519649462938105,-2.1783831751399703,-2.1095205897327105,-2.047107639944443,-2.0004728995227197,-1.9666896065791661,-1.9342881694319658,-1.9038819394736493,-1.876321747990005,-1.850459149798553,-1.8262896609812742,-1.803878542210441,-1.7830172505127848,-1.7635600826506561,-1.7453684163519938,-1.7282993717344652,-1.712263682838966,-1.6946905978293216,-1.678333515272243},
+{-2.1914741400196363,-2.30116946742055,-2.257748663485472,-2.1840554315385816,-2.115057390736183,-2.0525049388706975,-2.005761600961705,-1.9719159226224292,-1.939431400031026,-1.9089582094129582,-1.881336311387713,-1.855405850266834,-1.831175619172427,-1.8087077821255662,-1.7877929392088845,-1.768285881204065,-1.7500475039378216,-1.7329346871338203,-1.7168582289814367,-1.6992383800534299,-1.6828407343637082},
+{-2.196229691735425,-2.306888067174441,-2.2635495275026187,-2.189744365237857,-2.1206104306584166,-2.0579180462918885,-2.011065640250308,-1.9771573552607151,-1.9445895583776291,-1.9140492877049837,-1.886365365517122,-1.8603668302712322,-1.8360756939800922,-1.8135509352177905,-1.7925823688383389,-1.7730252689325425,-1.7547400356270373,-1.737583333531802,-1.7214659911769559,-1.7037992561236024,-1.687360980289668},
+{-2.2009998827234085,-2.3126236989282916,-2.269367587648958,-2.1954500245865347,-2.126179754992336,-2.0633470077445963,-2.0163850587086927,-1.9824139457959973,-1.9497626852717076,-1.919155218591186,-1.8914089471254556,-1.865342127133772,-1.8409899241451058,-1.8184080381251988,-1.797385575111548,-1.7777782817793195,-1.7594460468317266,-1.742245348443248,-1.7260870042046008,-1.7083732629180304,-1.691894290244818},
+{-2.2057847562027746,-2.3183764119985426,-2.275202894130416,-2.2011724568546924,-2.1317654120393854,-2.0687918677795096,-2.02171990066563,-1.987685735904961,-1.9549508239433635,-1.9242760490051296,-1.8964670967434358,-1.8703317825529666,-1.845918346542021,-1.8232791289992747,-1.8022025967184163,-1.7825449572010257,-1.7641655750085192,-1.7469207676549559,-1.7307213037856854,-1.7129604375222698,-1.6964406995175523},
+{-2.2105843554309104,-2.324146255697997,-2.281055497343914,-2.206911710818531,-2.137367448922305,-2.074252671627619,-2.0270702088455437,-1.9929727675516915,-1.9601540156982082,-1.9294118242542027,-1.9015398535593704,-1.8753358350732015,-1.850861000468285,-1.828164244430809,-1.807033470737224,-1.7873253323668905,-1.7688986569919507,-1.7516096303334052,-1.7353689267110894,-1.7175608170618943,-1.7010002452734625},
+{-2.2153987243891606,-2.3299332794103975,-2.286925446967871,-2.212667833930027,-2.1429859116178704,-2.0797294643052737,-2.0324360259510286,-1.9982750813214807,-1.9653723043411446,-1.9345625892710814,-1.9066272551172005,-1.8803543238755083,-1.8558179231913527,-1.8330634230769647,-1.8118782339224708,-1.7921194432856282,-1.773645327804843,-1.7563119724909484,-1.7400299063956481,-1.7221744378366566,-1.7055729643325321},
+{-2.2202279065077164,-2.335737533401698,-2.2928127935556404,-2.2184408745961264,-2.148620847987331,-2.085222290159436,-2.037817396045284,-2.003592720004235,-1.9706057314797363,-1.9397283901125775,-1.9117293418348709,-1.8853872897561814,-1.8607891533756629,-1.8379767011683725,-1.816736924716679,-1.796927327850426,-1.778405625216692,-1.7610278312058654,-1.7447042794592562,-1.7268013373213762,-1.7101588916848414},
+{-2.2250719457588275,-2.3415590662734758,-2.2987175875987305,-2.2242308815093565,-2.154272305098857,-2.090731195607077,-2.043214361550781,-2.008925724599976,-1.9758543397510948,-1.944909271911456,-1.9168461521003337,-1.8904347718562349,-1.8657747294782894,-1.842904117591388,-1.8216095806856174,-1.8017490229285613,-1.7831795855308883,-1.7657572455646005,-1.7493920817760227,-1.7314415528380778,-1.714758064626949},
+{-2.2299308863330225,-2.347397928848295,-2.3046398793085245,-2.2300379029202304,-2.1599403296750097,-2.0962562245331355,-2.0486269658031233,-2.0142741363233654,-1.9811181712830148,-1.950105279320269,-1.9219777262042044,-1.895496809440374,-1.8707746888358088,-1.8478457084092952,-1.8264962385401304,-1.80658456594756,-1.7879672458257119,-1.7705002507827885,-1.754093348121387,-1.7360951207883772,-1.7193705201279954},
+{-2.234804772231655,-2.3532541708227654,-2.310579720477108,-2.235861988396209,-2.1656249719635525,-2.101797424027609,-2.0540552531347203,-2.0196379985500243,-1.986397269709414,-1.9553164585049672,-1.9271241035166895,-1.900573444134352,-1.8757890709202911,-1.8528015139854688,-1.831396938436228,-1.8114339947205735,-1.7927686445364088,-1.775256885728595,-1.758808115071588,-1.740762080255081,-1.7239962951280177},
+{-2.239693647637978,-2.3591278422245523,-2.31653716112487,-2.2417031853474327,-2.1713262767480046,-2.107354838935862,-2.059499265422346,-2.0250173520398675,-1.9916916772526747,-1.9605428523100272,-1.9322853232188208,-1.9056647141260328,-1.8808179133775411,-1.857771570354089,-1.8363117156659428,-1.816297346696956,-1.7975838178645063,-1.78002718784046,-1.7635364183406637,-1.7454424675197515,-1.7286354254792968},
+{-2.2445975570335577,-2.3650189935797243,-2.3225122526946507,-2.2475615434559586,-2.1770442932029255,-2.112928514237865,-2.0649590475004516,-2.0304122389643453,-1.9970014365353563,-1.9657845069814357,-1.9374614255139022,-1.910770660964772,-1.8858612546937366,-1.8627559159576776,-1.8412406106763228,-1.821174658707605,-1.8024128034630849,-1.7848111939019873,-1.7682782928714005,-1.7501363200499327,-1.733287949260557},
+{-2.2495165448435728,-2.3709276751596917,-2.3285050459526246,-2.2534371116780676,-2.1827790683273633,-2.1185184963069332,-2.070434641587781,-2.0358227011856798,-2.0023265902200365,-1.971041465512826,-1.942652450328751,-1.9158913232349732,-1.8909191330130852,-1.8677545887840097,-1.8461836598180525,-1.826065968900366,-1.8072556385777716,-1.7896089420937642,-1.7730337757420784,-1.7548436751167173,-1.7379539028916042},
+{-2.2544506560134323,-2.3768539378033893,-2.334515592769094,-2.259329939239251,-2.1885306510448572,-2.124124831309018,-2.0759260925478884,-2.041248781635659,-2.007667181391298,-1.976313773124275,-1.947858437855757,-1.921026741980313,-1.8959915878840548,-1.8727676273665566,-1.8511409028651542,-1.830971315230272,-1.812112362091284,-1.79442046927943,-1.7778029021355906,-1.7595645707806398,-1.7426333245675778},
+{-2.2593999349355727,-2.3827978320732655,-2.3405439444923104,-2.2652400761326135,-2.1942990898569406,-2.1297475656429015,-2.0814334430797317,-2.046690522609424,-2.0130232534393144,-1.9816014732750773,-1.953079428676574,-1.926176957818825,-1.901078657429025,-1.8777950707371929,-1.856112377885438,-1.8358907355504925,-1.8169830123551947,-1.7992458143489785,-1.7825857087409531,-1.7642990445565374,-1.7473262512467045},
+{-2.2643644270083314,-2.388759409164777,-2.3465901529143594,-2.271167571281694,-2.2000844322683406,-2.135386744452262,-2.08695673724651,-2.05214796627115,-2.018394849030301,-1.9869046096719103,-1.9583154625470343,-1.9313420107937418,-1.9061803805016098,-1.8828369563598244,-1.861098123521515,-1.8408242674959183,-1.8218676263350062,-1.8040850136967492,-1.7873822316578298,-1.7690471339919895,-1.7520327209531388},
+{-2.2693441768860794,-2.394738719740417,-2.352654269470804,-2.277112474101159,-2.205886726893368,-2.1410424139903625,-2.0924960185839154,-2.0576211548250285,-2.023782011186995,-1.9922232251374226,-1.9635665799978597,-1.9365219412866281,-1.9112967956098146,-1.8878933238484024,-1.8660981779576105,-1.8457719482976245,-1.8267662431317149,-1.8089381052413955,-1.7921925068185374,-1.7738088760561368,-1.7567527711653383},
+{-2.274339230016267,-2.4007358150611253,-2.3587363465594535,-2.283074835126172,-2.211706022022554,-2.1467146215363755,-2.0980513308277295,-2.063110131697613,-2.0291847833759675,-1.9975573640040238,-1.9688328218326205,-1.9417167901374341,-1.9164279419128434,-1.8929642114017042,-1.8711125803783943,-1.8507338168201386,-1.8316789012387744,-1.813805127163505,-1.797016571093991,-1.77858430872584,-1.7614864399729413},
+{-2.279349631686273,-2.4067507466370444,-2.364836435741381,-2.2890547034367046,-2.217542366903217,-2.1524034130379732,-2.1036227180011338,-2.068614939093095,-2.034603208710905,-2.0029070684431645,-1.9741142293751182,-1.9469265976767929,-1.9215738593775313,-1.8980496582516935,-1.876141370175901,-1.8557099105673842,-1.8366056397026114,-1.8186861172289355,-1.801854459947208,-1.78337346923945,-1.7662337661895435},
+{-2.2843754274217645,-2.412783565956488,-2.3709545895817428,-2.2950521301900153,-2.223395810215152,-2.158108835163148,-2.109210224207345,-2.074135620619927,-2.0400373305819812,-2.008272381590359,-1.9794108425812738,-1.9521514048065,-1.9267345855259919,-1.9031497035975917,-1.8811845854434068,-1.8607002674798423,-1.8415464969039022,-1.8235811124359316,-1.806706211194978,-1.7881763950827008,-1.770994787086238},
+{-2.2894166626683727,-2.4188343243295094,-2.377090860360113,-2.301067164506094,-2.2292664000378863,-2.16383093418699,-2.114813892643724,-2.079672218831547,-2.045487192684959,-2.0136533459190105,-1.9847227027275949,-1.957391252512025,-1.931910160881671,-1.9082643864348938,-1.8862422663260077,-1.8657049265784735,-1.8465015126967046,-1.8284901510087366,-1.8115718606641167,-1.7929931244143518,-1.7757695421205426},
+{-2.2944733834992803,-2.4249030739738373,-2.383245300499766,-2.3070998573202814,-2.2351541863645252,-2.169569757163117,-2.1204337686685903,-2.0852247777220327,-2.0509528383845463,-2.019050003553275,-1.9900498513779894,-1.962646182088065,-1.9371006239889539,-1.9133937466431234,-1.8913144513535372,-1.8707239244358789,-1.8514707256108522,-1.8334132706586388,-1.8164514448435511,-1.7978236934977758,-1.78055806863631},
+{-2.299545635469258,-2.4309898660594627,-2.389417962916923,-2.313150259156828,-2.241059217314614,-2.1753253510105424,-2.1260698950536607,-2.0907933397902525,-2.056434311623889,-2.024462397021125,-1.9953923290559032,-1.9679162339562026,-1.9423060145563795,-1.9185378231486538,-1.8964011791358644,-1.8757573004986625,-1.856454174812825,-1.8383505096062436,-1.8213450006878702,-1.8026681401279347,-1.7853604054071184},
+{-2.3046334647515323,-2.4370947535826417,-2.3956088998857012,-2.319218420660036,-2.246981542855792,-2.181097762808349,-2.131722317131789,-2.096377949725138,-2.0619316561933374,-2.029890568635892,-2.000750178063754,-1.97320144999685,-1.9475263730164443,-1.923696655758249,-1.9015024903346784,-1.8808050928419107,-1.8614519008115167,-1.843301904416876,-1.8262525652244221,-1.8075265021398081,-1.7901765904971398},
+{-2.3097369175447966,-2.4432177878970833,-2.4018181653736974,-2.3253043926852115,-2.2529212127374194,-2.1868870397738647,-2.1373910786642227,-2.101978651193349,-2.0674449156176706,-2.0353345603762136,-2.0061234390996106,-1.9785018711590965,-1.9527617384774203,-1.9288702849189576,-1.9066184229995997,-1.8858673397153325,-1.8664639429043746,-1.8482674942606536,-1.8311741751494992,-1.8123988163315516,-1.795006662279775},
+{-2.314856040165978,-2.4493590220135957,-2.408045811447664,-2.331408226167696,-2.2588782752682164,-2.1926932288224634,-2.1430762242998753,-2.1075954877342156,-2.0729741343166097,-2.0407944138278253,-2.011512154047523,-1.9838175387158117,-1.958012150873401,-1.9340587491751648,-1.9117490169664961,-1.890944079383189,-1.8714903404143115,-1.853247316339548,-1.8361098677414702,-1.817285120512679,-1.799850658797368},
+{-2.319990879004763,-2.455518507735178,-2.4142918919806107,-2.3375299718427414,-2.264852781314403,-2.198516377244232,-2.1487777991351322,-2.1132285037419933,-2.0785193571427953,-2.046270170547359,-2.016916364984354,-1.9891484955478518,-1.9632776503131026,-1.9392620896178414,-1.9168943114491412,-1.8960353502734506,-1.87653113343913,-1.858241408939648,-1.8410596798494225,-1.8221854520379566,-1.8047086173392017},
+{-2.32514148075461,-2.4616962984055135,-2.420556460003354,-2.343669681406027,-2.270844779046456,-2.2043565327403485,-2.154495846305508,-2.118877743363555,-2.084080627097137,-2.0517618726662477,-2.0223361129792465,-1.994494781432877,-1.968558277192642,-1.9444803454825887,-1.9220543448464014,-1.9011411907995353,-1.881586361239897,-1.8632498096048948,-1.8460236485188943,-1.827099847185309,-1.8095805761440715},
+{-2.3303078919307154,-2.467892446269616,-2.4268395690251054,-2.3498274060293625,-2.276854319505219,-2.2102137426263653,-2.1602304125954106,-2.1245432519353926,-2.089657989668922,-2.057269562057627,-2.0277714406038285,-1.9998564403394994,-1.9738540714570263,-1.9497135575693392,-1.92722915810009,-1.906261640968296,-1.886656065344141,-1.8682725564212888,-1.8510018105662311,-1.8320283445609675,-1.8144665717736643},
+{-2.3354901594411785,-2.4741070044619846,-2.4331412730207376,-2.3560031977758626,-2.2828814528984367,-2.2160880551055016,-2.1659815416023775,-2.1302250740263844,-2.095251488946815,-2.0627932802999567,-2.0332223898185475,-2.005233512874838,-1.9791650739643956,-1.9549617655429756,-1.9324187892707414,-1.911396738145413,-1.8917402849911014,-1.8733096875439514,-1.855994204266608,-1.8369709806902392,-1.8193666418192151},
+{-2.3406883304414805,-2.4803400261826027,-2.439461625639524,-2.362197107879183,-2.288926228244236,-2.22197951747512,-2.171749278488278,-2.13592325396894,-2.100861170394637,-2.068333068556967,-2.0386890020454302,-2.010626041166688,-1.9844913243978226,-1.9602250097123033,-1.9376232782014995,-1.916546521919372,-1.8968390602785803,-1.8783612412116781,-1.8610008658979496,-1.8419277930552198,-1.8242808224204055},
+{-2.3459024520579987,-2.486591564513219,-2.4458006810818915,-2.36840918807502,-2.2949886963833706,-2.2278881773236208,-2.177533669397235,-2.14163783775075,-2.1064870784175582,-2.0738889685417234,-2.044171320812893,-2.0160340683978575,-1.9898328642229899,-1.965503330440697,-1.9428426644408319,-1.9217110307217808,-1.9019524314062437,-1.8834272543499537,-1.8660218336735852,-1.846898818621412,-1.829209150022507},
+{-2.351132571391645,-2.492861672761137,-2.452158493024399,-2.3746394908812363,-2.301068907541776,-2.233814084025653,-2.1833347584797593,-2.1473688704136293,-2.112129258650384,-2.079461022927717,-2.0496693876157224,-2.0214576366524852,-1.9951897339851712,-1.9707967681715672,-1.9480769871624943,-1.9268903043557657,-1.9070804387556564,-1.8885077670638566,-1.871057144831866,-1.851884095234709,-1.8341516598229646},
+{-2.356378736161787,-2.499150404597458,-2.458535116042185,-2.3808880675824184,-2.307166911676177,-2.23975728359801,-2.1891525918290426,-2.153116396824771,-2.1177877549489494,-2.085049272671313,-2.0551832445962646,-2.026896788018348,-2.00056197426602,-1.9761053623078624,-1.9533262857257796,-1.932084381540335,-1.9122231229302997,-1.8936028157731926,-1.8761068369894929,-1.8568836593913147,-1.8391083868737041},
+{-2.3616409938476863,-2.5054578138206125,-2.464930604701294,-2.387154971824202,-2.313282760715083,-2.245717826670443,-2.194987215971196,-2.1588804641360184,-2.123462614516029,-2.0906537599585135,-2.0607129357413214,-2.032351566314901,-2.005949626716756,-1.9814291552684153,-1.9585906010215695,-1.9372933021622885,-1.9173805248683493,-1.8987124397062871,-1.8811709474684903,-1.8618975488861906,-1.844079367150698},
+{-2.3669193917849043,-2.511783953932536,-2.4713450130275305,-2.3934402552986285,-2.319416503956745,-2.2516957594234555,-2.2008386754059757,-2.164661116908974,-2.1291538820805727,-2.0962745262295357,-2.0662585019708786,-2.037822013226105,-2.011352731482475,-1.9867681857795105,-1.9638699718016142,-1.9425171052425867,-1.922552684594848,-1.9038366773093003,-1.8862495153953205,-1.866925801459729,-1.8490646330319578},
+{-2.3722139784495084,-2.518128879231881,-2.4777783961944806,-2.3997439703343844,-2.3255681928822014,-2.257691131417232,-2.2067070177654386,-2.1704584024846554,-2.134861603331956,-2.101911613764969,-2.071819987369963,-2.043308173051628,-2.0167713302580523,-1.992122495026706,-1.969164438352891,-1.9477558306825813,-1.9277396424331528,-1.9089755666791461,-1.8913425772552728,-1.871968453622685,-1.8540642198386195},
+{-2.377524801551772,-2.5244926434352237,-2.4842308086499543,-2.4060661701842037,-2.331737877761043,-2.263703990742215,-2.212592288131418,-2.176272366239573,-2.140585823883157,-2.10756506501275,-2.077397433844453,-2.048810087831953,-2.0222054644254968,-1.9974921233369969,-1.974474040318455,-1.9530095183035883,-1.9329414385319978,-1.9141291464475216,-1.8964501714472135,-1.8770255428244127,-1.8590781606762903},
+{-2.3828519091766793,-2.5308753009303473,-2.4907023059877247,-2.4124069073659484,-2.3379256099760823,-2.2697343864092545,-2.218494533415651,-2.182103054426989,-2.1463265904785658,-2.1132349224790232,-2.0829908848354535,-2.0543278019649733,-2.027655174872052,-2.002877111550333,-1.9797988180762331,-1.9582782083452912,-1.9381581148409168,-1.9192974548022903,-1.901572336380923,-1.882097106292349,-1.8641064872026618},
+{-2.3881953494583286,-2.5372769065197645,-2.4971929427028954,-2.4187662355943758,-2.3441314408883045,-2.2757823675492546,-2.2244138007699803,-2.187950514991826,-2.15208394880392,-2.11892122817153,-2.08860038295461,-2.059861358615308,-2.033120503714599,-2.008277500885015,-1.9851388122733624,-1.963561940148793,-1.9433897115886793,-1.9244805312046083,-1.9067091099277604,-1.8871831815704354,-1.8691492333491624},
+{-2.3935551713584573,-2.543697514473024,-2.503702774489284,-2.425144207867561,-2.350355422080611,-2.28184798242728,-2.2303501366586715,-2.193814793139609,-2.157857945490832,-2.12462402465826,-2.094225971814012,-2.0654108008166077,-2.038601491913141,-2.0136933314242924,-1.9904940634987724,-1.9688607547759602,-1.948636268669361,-1.9296784139223746,-1.911860530701233,-1.892283805875195,-1.8742064296311582},
+{-2.398931423067552,-2.550137179563535,-2.5102318564568122,-2.4315408766415203,-2.3565976045538264,-2.287931279908662,-2.236303588222654,-2.199695936644275,-2.163648626767099,-2.130343354827346,-2.0998676942836028,-2.07097617330146,-2.0440981811298116,-2.0191246447575395,-1.9958646122613573,-1.9741746925428743,-1.9538978277450951,-1.934891141620028,-1.9170266364853887,-1.897399017081625,-1.8792781085358001},
+{-2.4043241533054243,-2.5565959567284153,-2.516780244255642,-2.437956296649645,-2.3628580388503906,-2.294032309000613,-2.24227420313764,-2.2055939924466657,-2.1694560395953886,-2.1360792617597326,-2.1055255936553294,-2.0765575194745907,-2.0496106131831766,-2.0245714815428073,-2.0012504982623796,-1.979503794322227,-1.959174429102859,-1.9401187536459474,-1.9222074665158289,-1.9025288514567364,-1.8843643010550295},
+{-2.4097334110338124,-2.563073900713789,-2.5233479937378434,-2.4443905208499928,-2.3691367776664265,-2.3001511200382083,-2.248262029112084,-2.2115090078659705,-2.1752802305782097,-2.141831788667332,-2.1111997131702083,-2.0821548836793227,-2.055138829982752,-2.030033882940188,-2.006651763975242,-1.984848101001262,-1.964466113873641,-1.9453612893339596,-1.92740305915504,-1.9076733475776564,-1.8894650379297673},
+{-2.4151592455637,-2.569571067344441,-2.529935161001049,-2.450843604390684,-2.375433873523434,-2.3062877613847377,-2.2542671139599406,-2.217441030603368,-2.1811212472857733,-2.147600978369155,-2.1168900968623348,-2.087768309902458,-2.0606828732270515,-2.0355118902225513,-2.0120684497414913,-1.990207653190737,-1.9697729225190415,-1.9506187871920702,-1.9326134530601848,-1.9128325420242618,-1.8945803494025313},
+{-2.420601705347508,-2.576087511210062,-2.5365418015790056,-2.457315599443973,-2.3817493767273845,-2.312442282527627,-2.260289506037225,-2.2233901073559537,-2.1869791359749797,-2.1533868746737426,-2.122596787612565,-2.093397842403647,-2.06624278486197,-2.0410055455358815,-2.0175005965138553,-1.9955824927601498,-1.975094896817609,-1.955891286543192,-1.9378386871758266,-1.9180064727588615,-1.899710266465263},
+{-2.4260608404565573,-2.5826232882682234,-2.5431679720240936,-2.4638065610088233,-2.388083340214507,-2.3186147328924562,-2.266329253481672,-2.229356286850816,-2.1928539449945674,-2.159189521538792,-2.1283198296368937,-2.0990435262101528,-2.071818607051682,-2.0465148897892504,-2.022948245965381,-2.000972661320702,-1.9804320765433658,-1.96117882677936,-1.94307880053384,-1.9231951767069404,-1.90485481869473},
+{-2.4315366997725505,-2.5891784538398497,-2.5498137278555078,-2.4703165433711547,-2.394435814985627,-2.324805162366829,-2.272386404667486,-2.2353396156759118,-2.198745721132582,-2.1650089624963584,-2.134059265586984,-2.104705404552078,-2.077410381356458,-2.052039964532014,-2.028411438812327,-2.0063782001816435,-1.9857845024453127,-1.9664814472525904,-1.9483338310928957,-1.9283986911068496,-1.9100140355621988},
+{-2.4370293332667643,-2.595753064359087,-2.5564791267897817,-2.476845600951492,-2.400806854297116,-2.3310136203035654,-2.2784610096132383,-2.241340142161789,-2.2046545118209906,-2.1708452414241037,-2.1398151409011916,-2.110383523726341,-2.0830181505189103,-2.0575808121029695,-2.0338902171606605,-2.0117991514525784,-1.9911522169786622,-1.9717991870566038,-1.9536038196165464,-1.9336170544847846,-1.915187948008679},
+{-2.4425387906103424,-2.602347175210525,-2.563164224222419,-2.4833937886432977,-2.4071965107068536,-2.3372401575943513,-2.284553116558527,-2.2473579149518628,-2.210580365437636,-2.176698403447517,-2.1455874984894763,-2.1160779268429906,-2.088641956801439,-2.06313747384047,-2.0393846220104024,-2.017235557494132,-1.9965352597573656,-1.9771320861909771,-1.9588888041289465,-1.9388503032350854,-1.920376584475889},
+{-2.448065121732725,-2.6089608429138025,-2.5698690777317097,-2.4899611608852865,-2.413604835732258,-2.3434848230463103,-2.2906627749507606,-2.2533929813071154,-2.216523329665506,-2.1825684917494073,-2.1513763818875304,-2.121788659347658,-2.0942818419534888,-2.0687099922070047,-2.044894695503899,-2.0226874603395117,-2.0019336727600603,-1.982480184360611,-1.9641888244259462,-1.9440984751927317,-1.9255799761413073},
+{-2.4536083765051444,-2.615594123099072,-2.576593743688136,-2.4965477725490928,-2.420031882429612,-2.3497476668017043,-2.2967900356634345,-2.259445390689507,-2.222483453264431,-2.1884555517463014,-2.157181836937525,-2.1275157667878375,-2.0999378489505034,-2.0742984104072093,-2.050420479314198,-2.0281549025203276,-2.0073474959681334,-1.9878435208593146,-1.9695039207435912,-1.9493616078034393,-1.930798152647185},
+{-2.459168605499144,-2.6222470730226632,-2.583338279131567,-2.5031536785318167,-2.4264777031057747,-2.3560287394357147,-2.3029349466705753,-2.265515189847065,-2.2284607831170433,-2.1943596276796598,-2.1630039056653914,-2.133259292368166,-2.1056100193709426,-2.079902768949978,-2.055962013972021,-2.033637926557276,-2.012776770719938,-1.993222135330143,-1.9748341310114483,-1.954639738683909,-1.9360311438031204},
+{-2.464745858696915,-2.6289197485675686,-2.5901027413747215,-2.5097789347964863,-2.4329423508279433,-2.362328090632218,-2.3090975601917307,-2.271602428092592,-2.234455368557974,-2.2002807650242175,-2.1688426338369027,-2.1390192823782854,-2.1112983964703744,-2.085523111582006,-2.061519343063992,-2.0391365759169275,-2.018221537960926,-1.9986160675471183,-1.9801794952763885,-1.9599329050943197,-1.941278980277275},
+{-2.470340186608155,-2.6356122070465062,-2.596887188112305,-2.516423596403911,-2.439425879125338,-2.368645771719457,-2.3152779260562966,-2.2777071547425294,-2.2404672573320568,-2.206219009040069,-2.1746980663810973,-2.1447957814853,-2.1170030227040115,-2.0911594803292246,-2.067092507128109,-2.044650893221842,-2.023681839596975,-2.004025358150102,-1.9855400542037387,-1.965241145055188,-1.9465416934945097},
+{-2.4759516402373265,-2.642324504922726,-2.6036916760422173,-2.5230877182621043,-2.44592833986826,-2.374981831846526,-2.321476094326499,-2.2838294166249398,-2.2464964987048006,-2.2121744041796774,-2.1805702460005705,-2.1505888337596843,-2.122723940436117,-2.0968119181416114,-2.07268154904159,-2.0501809219495044,-2.0291577160205634,-2.009450046622078,-1.9909158463706262,-1.9705644958921766,-1.9518193136573245},
+{-2.481580270165068,-2.6490566996872076,-2.610516263433965,-2.52977135686524,-2.4524497868878825,-2.3813363219123858,-2.3276921172182483,-2.289969264249521,-2.2525431414578634,-2.218146996034193,-2.1864592192869168,-2.1563984855056333,-2.1284611931369,-2.1024804680746456,-2.078286510251928,-2.055726705460984,-2.034649208166229,-2.014890173155436,-1.9963069132099918,-1.975902995585784,-1.9571118734274933},
+{-2.487226127354006,-2.6558088482961466,-2.617361007636646,-2.536474567714322,-2.458990273549716,-2.3877092939510476,-2.333926044695545,-2.2961267460304953,-2.2586072339217935,-2.2241368304676143,-2.1923650299322617,-2.162224781455734,-2.1342148226285644,-2.108165173063753,-2.083907432439446,-2.0612882865971187,-2.0401563571685983,-2.0203457780298777,-2.001713293695502,-1.9812566824293754,-1.9624194051320956},
+{-2.4928892629013717,-2.662581008113193,-2.624225966173981,-2.543197405662795,-2.4655498520223773,-2.3941007961366267,-2.3401779294254084,-2.302301909905509,-2.2646888249473704,-2.230143953100196,-2.198287723309477,-2.168067765847809,-2.1399848720429873,-2.1138660752912983,-2.0895443580229767,-2.066865709883132,-2.04567920442787,-2.0258169011030986,-2.00713502796134,-1.9866255923298013,-1.9677419419494981},
+{-2.498569728424627,-2.669373236845786,-2.6311111981849535,-2.5499399299478682,-2.472128577675903,-2.4005108819801535,-2.3464478230562236,-2.308494806278759,-2.2707879646259244,-2.23616840925024,-2.204227345489926,-2.1739274852225208,-2.1457713849631546,-2.1195832201810845,-2.095197330130759,-2.0724590183053806,-2.051217791860836,-2.0313035834587936,-2.0125721559670637,-1.9920097646790964,-1.9730795180621499},
+{-2.504267574799087,-2.6761855922031828,-2.6380167610841454,-2.5567021937567915,-2.478726502820791,-2.406939600361511,-2.352735776810732,-2.314705483338912,-2.2769047018518904,-2.2422102450655075,-2.210183940096613,-2.1798039828572655,-2.1515744037860713,-2.1253166487549606,-2.100866390072042,-2.0780682563963637,-2.056772160121909,-2.0368058651110914,-2.0180247196549317,-1.9974092375014152,-1.9784321674596868},
+{-2.5099828538150177,-2.6830181321001874,-2.6449427132138226,-2.5634842547078733,-2.4853436816265457,-2.41338700270353,-2.359041843985324,-2.320933991082711,-2.283039085690689,-2.248269506570068,-2.2161575534919393,-2.185697305489157,-2.1573939719892223,-2.13106640713886,-2.10655158042573,-2.0836934677136014,-2.062342350727704,-2.04232378730012,-2.0234927585406695,-2.0028240480969544,-1.983799927180371},
+{-2.5157156173027033,-2.6898709144243185,-2.6518891135056037,-2.5702861691206635,-2.4919801673349866,-2.419853141051135,-2.3653660762502113,-2.3271803779134643,-2.2891911653641728,-2.2543462397297844,-2.222148231248866,-2.1916074972723436,-2.1632301326972083,-2.136832536478323,-2.11225294329779,-2.089334696342121,-2.0679284046236717,-2.047857390207355,-2.0289763132059306,-2.0082542341369845,-1.9891828342733788},
+{-2.521465917101523,-2.696743997708836,-2.658856019967061,-2.5771079943078803,-2.498636014333897,-2.42633806518279,-2.3717085270145617,-2.333444693860656,-2.295360990861809,-2.260440490619658,-2.228156018878508,-2.1975346031904337,-2.169082929904107,-2.142615082208067,-2.117970521267125,-2.094991986781679,-2.0735303643305087,-2.053406714458106,-2.0344754242578347,-2.01369983431141,-1.9945809262499097},
+{-2.5272338051454426,-2.703637439866725,-2.6658434917662817,-2.583949786854646,-2.5053112767636776,-2.4328418277800665,-2.378069248778047,-2.339726988113398,-2.3015486116782995,-2.2665523050673073,-2.234180962372193,-2.203478669234755,-2.1749524054575886,-2.1484140877364553,-2.1237043572036782,-2.1006653825752437,-2.079148270586302,-2.058971801518055,-2.039990132463572,-2.019160886051395,-1.9999942416106933},
+{-2.5330193338231766,-2.7105513000151404,-2.6728515876129677,-2.5908116035570856,-2.5120060083536373,-2.439364479298092,-2.3844482947461074,-2.3460273099808546,-2.3077540773556393,-2.2726817298098467,-2.240223107368365,-2.2094397393229883,-2.1808386043012433,-2.154229597112135,-2.129454493497178,-2.1063549290447554,-2.0847821658680914,-2.0645526922853605,-2.045520479692641,-2.0246374280468444,-2.005422821643151},
+{-2.5388225553142547,-2.7174856362453284,-2.6798803665260493,-2.59769350130955,-2.51872026442652,-2.445906070726778,-2.390845718295168,-2.3523457100382075,-2.313977438119764,-2.2788288106348773,-2.2462825009570224,-2.215417860123125,-2.186741569723381,-2.1600616545074445,-2.1352209738106467,-2.1120606691656576,-2.0904320908375666,-2.070149427410797,-2.051066506995994,-2.0301294980599778,-2.0108667088388756},
+{-2.5446435224184825,-2.724440507688996,-2.686929888150189,-2.604595538450667,-2.5254540976020508,-2.452466655329772,-2.397261572739808,-2.3586822372271854,-2.320218744011072,-2.284993594203115,-2.25235918823455,-2.2214130754546204,-2.192661345787201,-2.1659103034398868,-2.141003839475161,-2.11778264865643,-2.0960980883974116,-2.0757620495751326,-2.056628255322721,-2.0356371336238226,-2.0163259453511273},
+{-2.550482287273553,-2.7314159736106376,-2.6940002109040506,-2.6115177714818856,-2.5322075635522197,-2.4590462829728494,-2.403695912769763,-2.3650369412789587,-2.326478044851683,-2.2911761270261195,-2.2584532171422325,-2.227425431847223,-2.1985979765122465,-2.1717755885656516,-2.1468031348122167,-2.123520911682135,-2.1017801993439207,-2.0813905993200024,-2.0622057653745287,-2.041160374399624,-2.021800577203976},
+{-2.556338903334108,-2.738412093323859,-2.701091395403637,-2.618460258872801,-2.538980717137747,-2.4656450070324354,-2.4101487917541817,-2.37140987287421,-2.3327553905983223,-2.297376454960613,-2.264564633533155,-2.2334549726438127,-2.204551506169082,-2.177657553795143,-2.152618902102404,-2.1292755017711897,-2.1074784675438423,-2.087035117630876,-2.0677990804833826,-2.0466992576548364,-2.027290647467453},
+{-2.5622134227887727,-2.745428925478336,-2.7082035005369107,-2.6254230581689626,-2.5457736124881194,-2.4722628780291416,-2.4166202639607945,-2.3778010815294692,-2.339050831982604,-2.303594625009282,-2.2706934840571193,-2.239501744919835,-2.2105219788900285,-2.1835562435371685,-2.158451185659942,-2.1350464659444697,-2.1131929343100637,-2.092695646904758,-2.0734082411581767,-2.052253822424973,-2.032796205396153},
+{-2.5681058996196953,-2.7524665303699294,-2.7153365863050567,-2.6324062269268325,-2.5525863047478197,-2.4788999482298095,-2.423110383831954,-2.3842106177726237,-2.345364418688405,-2.309830682719621,-2.2768398163789243,-2.2455657930004236,-2.216509439294896,-2.1894717019858945,-2.1643000275289523,-2.1408338468318107,-2.118923641377478,-2.098372228563676,-2.0790332899377972,-2.0578241067414638,-2.0383172979381925},
+{-2.574016386453877,-2.7595249670721387,-2.7224907126910693,-2.6394098232012766,-2.559418847624329,-2.4855562694065156,-2.429619205162453,-2.3906385313603096,-2.3516962020585197,-2.3160846753999067,-2.283003676933731,-2.251647161792789,-2.2225139321308234,-2.1954039730007935,-2.170165472172812,-2.1466376894713903,-2.1246706305209955,-2.1040649049646163,-2.084674267563969,-2.0634101495088544,-2.0438539753085934},
+{-2.5799449371988885,-2.766604296391961,-2.7296659392741276,-2.6464339054546144,-2.566271297815547,-2.4922318938079115,-2.43614678378799,-2.3970848730568832,-2.3580462317404454,-2.322356649052381,-2.289185113426356,-2.2577458972991735,-2.228535501908482,-2.2013531011834857,-2.1760475626906555,-2.1524580393524957,-2.130433945621917,-2.109773717751523,-2.0903312169648416,-2.0690119892169605,-2.049406286332669},
+{-2.5858916052147833,-2.7737045775938896,-2.7368623273032426,-2.6534785328221915,-2.573143709625583,-2.4989268749741314,-2.442693173798034,-2.403549692920933,-2.3644145583821228,-2.3286466500649112,-2.2953841732960427,-2.263862044488633,-2.2345741944009205,-2.207319130531687,-2.181946343574964,-2.158294940920314,-2.136213628520636,-2.1154987082736625,-2.0960041803809872,-2.0746296644574613,-2.0549742821276595},
+{-2.5918564444746153,-2.780825871250272,-2.744079936070193,-2.6605437625112245,-2.5800361386936856,-2.5056412634330627,-2.449258430595364,-2.4100330423279956,-2.3708012325150776,-2.334954725629359,-2.3016009033017326,-2.2699956487267627,-2.2406300537550123,-2.213302105275943,-2.187861858670658,-2.1641484391657286,-2.1420097221052856,-2.1212399206124246,-2.1016931997946813,-2.080263214349543,-2.0605580139235826},
+{-2.597839508600373,-2.787968237455061,-2.751318827020441,-2.6676296538644237,-2.586948640364426,-2.5123751111932506,-2.4558426095100003,-2.416534971078363,-2.3772063053656893,-2.341280921420548,-2.307835353014525,-2.276146755913942,-2.24670312616945,-2.219302071400307,-2.1937941525757196,-2.1700185778281593,-2.1478222689038375,-2.126997395465878,-2.107398318614287,-2.0859126783579995,-2.0661575341728167},
+{-2.6038408521635574,-2.795131737495467,-2.7585790595039725,-2.674736265140382,-2.593881269443955,-2.5191284725660807,-2.462445764478616,-2.4230555304020527,-2.383629827065306,-2.347625284081005,-2.314087568774994,-2.2823154106699803,-2.252793456591462,-2.2253190707087924,-2.199743268854945,-2.1759054031317646,-2.1536513112187095,-2.132771176053211,-2.1131195772177307,-2.0915780946888844,-2.0717728944473492},
+{-2.6098605290808337,-2.802316431479994,-2.7658606955483265,-2.6818636559655715,-2.600834082106303,-2.525901398064889,-2.469067952806654,-2.429594771223492,-2.3900718484001118,-2.353987860115012,-2.320357598880946,-2.288501659208123,-2.258901090492145,-2.231353150225914,-2.2057092530048976,-2.181808960165654,-2.159496891712479,-2.1385613044876663,-2.118857019369898,-2.097259503290843,-2.0774041460208537},
+{-2.6158985934580414,-2.8095223805958085,-2.7731637957913335,-2.689011885697255,-2.6078071341216855,-2.532693942743208,-2.475709229205677,-2.4361527451037546,-2.3965324205200886,-2.360368696401565,-2.3266454922413686,-2.2947055469740008,-2.2650260745940614,-2.2374043533563963,-2.211692149601731,-2.187729293196753,-2.1653590545247425,-2.144367823148059,-2.124610687733366,-2.1029569430502306,-2.0830513413238805},
+{-2.621955100556079,-2.8167496456280787,-2.7804884208417207,-2.6961810123029863,-2.6148004812384897,-2.5395061574199644,-2.48236964908574,-2.442729501868598,-2.40301159333103,-2.366767838910164,-2.332951295578823,-2.30092711929683,-2.2711684535825043,-2.2434727247818955,-2.2176920037127275,-2.1936664471941185,-2.1712378420234018,-2.150190775999363,-2.13038062468695,-2.1086704538138292,-2.08871453077154},
+{-2.628030104757272,-2.823998288558869,-2.7878346326760948,-2.703371096511546,-2.621814178972272,-2.5463380948422127,-2.489049268533563,-2.449325094021333,-2.409509418961534,-2.3731853346362186,-2.3392750590646756,-2.307166422604496,-2.277328273943567,-2.2495583106538106,-2.223708860867191,-2.1996204680617666,-2.1771332972966775,-2.1560302044890705,-2.1361668737154105,-2.114400075512094,-2.0943937663214456},
+{-2.6341236610496708,-2.8312683698641194,-2.7952024922815326,-2.7105821974982973,-2.62884828380993,-2.5531898093686323,-2.4957481433812063,-2.4559395734468126,-2.416025947295566,-2.379621230687917,-2.345616830727522,-2.3134235025718226,-2.2835055812647624,-2.2556611549152876,-2.229742766234267,-2.2055914000156918,-2.1830454633018235,-2.1618861535316682,-2.1419694768665067,-2.120145848235552,-2.1000890973227797},
+{-2.6402358244122297,-2.838559951956995,-2.8025920605541614,-2.717814373801957,-2.6359028511215,-2.5600613522219646,-2.5024663298463565,-2.4625729897052224,-2.422561228657287,-2.38607557254727,-2.351976657701016,-2.319698404335213,-2.2897004223377735,-2.261781303124735,-2.235793766365532,-2.2115792878248612,-2.1889743834653927,-2.1677586642617825,-2.147788477501308,-2.125907811026991,-2.1058005737213534},
+{-2.6463666501531407,-2.845873096923242,-2.810003400398273,-2.7250676874100463,-2.642977938590775,-2.5669527789395943,-2.509203884143062,-2.4692253965040436,-2.429115315037052,-2.3925484076244175,-2.3583545913024864,-2.325991175523086,-2.2959128435177263,-2.2679188012589293,-2.2418619067357213,-2.2175841773678258,-2.1949201014867867,-2.17364778117917,-2.1536239178603864,-2.1316860049664683,-2.111528243363864},
+{-2.652516193513293,-2.853207865722652,-2.817436572906445,-2.732342196497484,-2.6500736013440473,-2.5738641403295333,-2.5159608613539604,-2.4758968448950327,-2.4356882561660314,-2.3990397829729773,-2.3647506780653202,-2.3323018605078687,-2.3021428903193737,-2.274073694337858,-2.2479472337290645,-2.2236061130352027,-2.2008826611090626,-2.17955354703372,-2.159475841664971,-2.13748047050467,-2.117272155057435},
+{-2.658684510475723,-2.8605643212904397,-2.8248916404190823,-2.7396379617966886,-2.6571898966649314,-2.58079549093236,-2.5227373197667475,-2.4825873870540818,-2.442280104260135,-2.405549744842574,-2.371164968564699,-2.338630507554626,-2.308390610080096,-2.2802460287748545,-2.2540497943846276,-2.22964514117848,-2.206862106013432,-2.1854760067035386,-2.1653442919305235,-2.14329124815049,-2.1230323560776014},
+{-2.6648716559520835,-2.8679425251139037,-2.8323686639596417,-2.7469550432506367,-2.664326879530563,-2.587746883782529,-2.5295333131143707,-2.4892970745022467,-2.4488909076499112,-2.412078340181324,-2.377597511458589,-2.344977161337738,-2.314656048107281,-2.286435849073314,-2.2601696350648126,-2.2357013059918245,-2.2128584786660213,-2.191415202629287,-2.171229311017669,-2.1491183789003117,-2.128808893259702},
+{-2.671077686794888,-2.875342540877682,-2.839867707065423,-2.7542935015808325,-2.671484608465107,-2.594718372052739,-2.536348900586745,-2.496025959870167,-2.455520718729531,-2.4186256164284714,-2.3840483556232357,-2.35134186961659,-2.320939251963864,-2.2926432028507406,-2.2663068028450652,-2.241774652786262,-2.2188718243996846,-2.197371178710455,-2.177130942705844,-2.1549619036813965,-2.134601811729226},
+{-2.677302658390545,-2.882764430689349,-2.847388831902208,-2.7616533978798543,-2.6786631396280427,-2.6017100109347666,-2.5431841374884243,-2.50277409571936,-2.462169587270182,-2.425191620073747,-2.3905175502259226,-2.3577246786553587,-2.3272402672555472,-2.298868135054363,-2.272461344506155,-2.247865226250724,-2.224902186640975,-2.203343978868361,-2.183049230268807,-2.160821862911689,-2.1404111567571817},
+{-2.6835466273205384,-2.8902082578715635,-2.8549321008613333,-2.76903479221437,-2.685862529753649,-2.6087218525972276,-2.5500390796223655,-2.509541534425807,-2.4688375641562743,-2.4317763986982754,-2.3970051444266574,-2.3641256346199953,-2.3335591410395864,-2.3051106927705405,-2.2786333086987725,-2.253973073362431,-2.230949609511299,-2.209333647690073,-2.1889842170785414,-2.166698299712152,-2.146236973512714},
+{-2.689809650037205,-2.8976740846010216,-2.86249757657788,-2.776437744829309,-2.693082836241956,-2.615753950620274,-2.55691378515985,-2.516328328390955,-2.4755246991771855,-2.438379998508026,-2.403511188647826,-2.3705447860666027,-2.3398959205478604,-2.311370922405331,-2.2848227428257815,-2.260098237406055,-2.237014137146616,-2.2153402294570697,-2.1949359459249536,-2.172591254719009,-2.152079307641543},
+{-2.696091782670919,-2.905161974733346,-2.870085322017985,-2.7838623180468858,-2.7003241152342525,-2.622806360719551,-2.5638083093326713,-2.523134530918469,-2.4822310435665713,-2.445002468146413,-2.4100357314491703,-2.3769821791283903,-2.3462506517716974,-2.3176488699245965,-2.2910296943337016,-2.266240765038674,-2.243095813875698,-2.221363768399897,-2.200904460874881,-2.1785007702674193,-2.157938201333309},
+{-2.7023930822142574,-2.9126719917312585,-2.877695399973163,-2.791308571850095,-2.707586424818146,-2.6298791354092828,-2.570722710537666,-2.5299601939841523,-2.488956646848237,-2.451643854514259,-2.4165788233003695,-2.3834378616265894,-2.3526233821066853,-2.3239445829858596,-2.2972542122151935,-2.2724007020115096,-2.249194684827671,-2.2274043098805123,-2.206889805926039,-2.1844268889835803,-2.1638137002446456},
+{-2.70871360590354,-2.9202041992830345,-2.885327873784263,-2.7987765681464225,-2.7148698224882537,-2.636972329721175,-2.5776570444322715,-2.536805371681112,-2.495701559331792,-2.4583042048288917,-2.423140513339604,-2.389911880087311,-2.35901415821354,-2.33025810660547,-2.303496343542065,-2.2785780920967227,-2.2553107930070837,-2.2334618969034636,-2.212892023690074,-2.1903696520203084,-2.1697058449863107},
+{-2.7150534098218486,-2.9277586605167016,-2.8929828064210596,-2.8062663677883393,-2.7221743650297867,-2.644085997420916,-2.58461136835831,-2.5436701167855063,-2.502465831254085,-2.4649835673299094,-2.4297208507850883,-2.3964042834486463,-2.3654230277970782,-2.3365894897360704,-2.309756138118246,-2.2847729833447374,-2.261444185020082,-2.2395365753436636,-2.2189111589905224,-2.1963291033425776,-2.1756146827101475},
+{-2.721412552300535,-2.935335439968185,-2.9006602620756894,-2.813778032967093,-2.729500110988738,-2.6512201928999275,-2.5915857392101316,-2.550554482761072,-2.509249513164832,-2.4716819893583306,-2.4363198872197245,-2.4029151187860407,-2.371850037932745,-2.342938778543612,-2.3160336441615073,-2.29098542004067,-2.267594905439182,-2.2456283907704346,-2.224947254082508,-2.202305285150942,-2.1815402544707467},
+{-2.727791090219398,-2.9429346017459466,-2.908360303059453,-2.821311624793452,-2.736847116237186,-2.658374970953446,-2.5985802138529834,-2.557458522296656,-2.516052654158557,-2.4783995189354755,-2.44293767110139,-2.4094444328802638,-2.378295235637779,-2.3493060195833095,-2.3223289096567896,-2.2972154477574804,-2.273762997778249,-2.251737387065077,-2.231000353800482,-2.2082982405627263,-2.1874826054263394},
+{-2.734189081034856,-2.950556210373179,-2.9160829945358273,-2.8288672053786286,-2.7442154403943277,-2.6655503856563882,-2.605594850010675,-2.5643822900128725,-2.5228753047049395,-2.485136204104492,-2.44957425346729,-2.415992275589815,-2.384758668962604,-2.355691260065214,-2.3286419844880584,-2.3034631131704373,-2.2799485083742184,-2.2578636106809427,-2.237070502320421,-2.214308013153641,-2.193441778788838},
+{-2.740606582705368,-2.9582003301802615,-2.923828399863851,-2.8364448368520243,-2.7516051403290476,-2.6727464928226254,-2.6126297038208577,-2.571325839006022,-2.52971751424775,-2.491892092861235,-2.456229684063146,-2.4225586945285613,-2.391240385331912,-2.362094547788729,-2.3349729179353744,-2.30972846197983,-2.2861514821634046,-2.264007105943165,-2.2431577433017083,-2.220334645939147,-2.199417817646463},
+{-2.747043653294895,-2.965867025857733,-2.9315965824207524,-2.8440445811938844,-2.759016274514579,-2.679963347134617,-2.6196848335239338,-2.5782892231363803,-2.5365793335113267,-2.4986672335835465,-2.462904012467334,-2.4291437375613896,-2.397740433072613,-2.368515929509158,-2.3413217598354095,-2.316011539693136,-2.292371965275379,-2.27016791877395,-2.2492621204655734,-2.2263781825058686,-2.205410765865963},
+{-2.7535003504472115,-2.9735563619615277,-2.9393876072390412,-2.851666500180727,-2.7664489015842264,-2.6872010020160815,-2.626760296167049,-2.5852724963551736,-2.5434608121213387,-2.505461674896651,-2.469597291557875,-2.4357474540593103,-2.404258859438414,-2.374955453135044,-2.3476885579111695,-2.3223123928546556,-2.298610001893394,-2.2763460953610775,-2.2553836794795643,-2.232438667477254,-2.2114206696824112},
+{-2.7599767327610607,-2.981268403971626,-2.9472015380015364,-2.859310656629532,-2.7739030780758185,-2.694459514488699,-2.633856147811457,-2.5922757126427314,-2.55036199877577,-2.512275465156563,-2.476309569166915,-2.442369890981354,-2.410795712883555,-2.3814131652543438,-2.354073362563213,-2.3286310674011474,-2.304865638336196,-2.282541679804126,-2.261522463097208,-2.238516144148889,-2.2174475720748887},
+{-2.766472858513225,-2.9890032175026136,-2.9550384398608003,-2.866977112746099,-2.781378863743157,-2.701738938634662,-2.640972447632521,-2.5992989261176263,-2.5572829446100513,-2.519108652271825,-2.4830408972084115,-2.44901109881539,-2.417351042098744,-2.3878891138992913,-2.3604762235918315,-2.334967610993772,-2.311138919827499,-2.288754719600547,-2.2676785159237625,-2.244610656744044,-2.2234915178923984},
+{-2.7729887863624754,-2.996760867350531,-2.962898377201782,-2.874665932104108,-2.7888763172850304,-2.709039331173699,-2.648109252219001,-2.6063421925246075,-2.564223699580907,-2.52596128733785,-2.489791327097919,-2.4556711249242653,-2.423924895381788,-2.394383347032999,-2.3668971909173706,-2.341322068550653,-2.3174298933008686,-2.29498525919189,-2.273851882928284,-2.25072225063559,-2.2295525510016887},
+{-2.7795245751312905,-3.004541419300949,-2.970781414584053,-2.882377176418231,-2.7963954961815034,-2.7163607461225183,-2.655266618265159,-2.6134055639595317,-2.571184312724654,-2.5328334162477404,-2.4965609074970416,-2.4623500188536127,-2.430517320859508,-2.4008959114980826,-2.373336313808977,-2.3476944873618777,-2.3237386038381374,-2.301233344729553,-2.2800426085632353,-2.256850969242805,-2.2356307167538034},
+{-2.786080283756746,-3.0123449397251534,-2.9786876168836898,-2.89011090933127,-2.803936460026307,-2.723703239684255,-2.6624446048263053,-2.6204890964254446,-2.578164835085772,-2.5397250902278756,-2.5033496923970233,-2.4690478305674333,-2.4371283680884517,-2.407426856269012,-2.3797936419396137,-2.3540849140154023,-2.3300650978308113,-2.3074990228524257,-2.286250736535294,-2.2629968575492967,-2.241726060026849},
+{-2.792655971239583,-3.020171493975795,-2.9866170494133257,-2.897867193878483,-2.8114992671180516,-2.731066868349444,-2.669643267930951,-2.6275928444629244,-2.5851653158606496,-2.5466363581181213,-2.510157731412619,-2.475764608094323,-2.4437580854428234,-2.413976228759566,-2.386269226353761,-2.3604933949245606,-2.3364094206190202,-2.3137823398246837,-2.292476312839426,-2.2691599616409803,-2.2478386257353122},
+{-2.79925169703165,-3.028021148587868,-2.994569777376455,-2.905646091894596,-2.8190839761591633,-2.7384516859856376,-2.6768626660632435,-2.6347168615720875,-2.5921858049150615,-2.5535672689875355,-2.516985074751574,-2.4825004002268543,-2.45040652217358,-2.4205440758596524,-2.3927631155784184,-2.366919976851932,-2.3427716204132594,-2.3200833405717276,-2.298719381375122,-2.2753403240130865,-2.2539684576622676},
+{-2.8058675206157204,-3.035893970154575,-3.0025458660602453,-2.913447669659945,-2.826690646914358,-2.7458577516626974,-2.6841028575181554,-2.6418612044471956,-2.599226354384882,-2.5605178724326834,-2.523831776852603,-2.4892552579622134,-2.457073728310206,-2.4271304473804776,-2.399275361269247,-2.37336470691298,-2.3491517421825847,-2.3264020717651874,-2.3049799870459537,-2.2815379921266867,-2.2601155993324937},
+{-2.8125035013945308,-3.0437900249671657,-3.0105453812320775,-2.921271988776425,-2.8343193385480845,-2.753285118877102,-2.6913638980513497,-2.6490259273341508,-2.606287012593384,-2.567488218723156,-2.53069788619905,-2.496029229787382,-2.4637597521759744,-2.4337353901355527,-2.4058060124807525,-2.379827631666558,-2.3555498329151305,-2.332738579625584,-2.311258175253897,-2.2877530113910325,-2.2662800950056408},
+{-2.819159699456577,-3.051709379786189,-3.018568388419226,-2.9291191127231286,-2.8419701100574457,-2.7607338448869996,-2.698645847645821,-2.6562110846898577,-2.613367831629148,-2.5744783574446046,-2.5375834569495055,-2.50282236590283,-2.4704646446080005,-2.4403589543326234,-2.4123551206103,-2.386308799876133,-2.361965940475784,-2.339092911930493,-2.3175539907242637,-2.293985425734718,-2.272461988373834},
+{-2.825836175126824,-3.0596521023398964,-3.026614953403623,-2.9369891057394852,-2.849643020235817,-2.7682039861065277,-2.705948761693435,-2.6634167324045848,-2.620468860390247,-2.581488337698829,-2.544488539628219,-2.5096347140606667,-2.477188453070994,-2.4470011854791665,-2.418922733893851,-2.392808256128774,-2.368400109040522,-2.3454651118736365,-2.323867477796739,-2.3002352814146434,-2.2786613201642467},
+{-2.8325329878134653,-3.0676182587594667,-3.0346851422691543,-2.94488203182118,-2.85733812923354,-2.7756955984805245,-2.713272700286325,-2.670642925382708,-2.6275901510962285,-2.588518211228802,-2.5514131869349512,-2.516466326898808,-2.4839312303593033,-2.4536621351799113,-2.425508904576418,-2.399326050268428,-2.3748523883186863,-2.3518552291461674,-2.3301986833866977,-2.306502625331632,-2.2848781346365286},
+{-2.839250197957881,-3.075607916802255,-3.0427790209178056,-2.952797955200367,-2.8650554972300597,-2.783208740351256,-2.720617720769951,-2.6778897197145852,-2.6347317544641555,-2.595568027529225,-2.558357451365737,-2.523317253388086,-2.490693025087239,-2.460341851157864,-2.4321136823054985,-2.40586222784259,-2.3813228255421564,-2.3582633087753493,-2.336547653125308,-2.3127875029094866,-2.2911124714446487},
+{-2.8459878667745215,-3.083621144232893,-3.0508966563720605,-2.9607369398399896,-2.8727951833425323,-2.790743466874119,-2.727983880231477,-2.6851571698935004,-2.6418937217458733,-2.6026378375609056,-2.565321384827257,-2.5301875424229365,-2.497473887866363,-2.467040382543928,-2.438737118129211,-2.4124168375747104,-2.3878114668041235,-2.3646893977638683,-2.342914431323152,-2.319089960994461,-2.297364370297146},
+{-2.8527460542700283,-3.091658008779632,-3.0590381142683327,-2.968699050019495,-2.8805572478049726,-2.7982998354891606,-2.7353712377807824,-2.692445331991621,-2.6490761041786755,-2.609727691648004,-2.5723050399501517,-2.537077246033732,-2.5042738693700812,-2.473757778396248,-2.4453792623826303,-2.418989926663926,-2.394318360598845,-2.371133543099859,-2.349299063989747,-2.325410047356854,-2.3036338729871204},
+{-2.8595248218025517,-3.0997185782980523,-3.0672034614653967,-2.9766843506295118,-2.8883417501238,-2.8058779036473425,-2.7427798503085796,-2.699754262681381,-2.6562789535237243,-2.6168376413006627,-2.5793084700708278,-2.543986412583763,-2.511093019882537,-2.4804940881185757,-2.452040164356731,-2.425581542727741,-2.4008435544674285,-2.3775957908255805,-2.3557015973965463,-2.331747806780186,-2.309921016865701},
+{-2.866324229955353,-3.107802920781978,-3.0753927647310775,-2.9846929061532137,-2.8961487510459847,-2.813477727373538,-2.750209777314012,-2.7070840157102793,-2.6635023208145867,-2.6239677365992975,-2.5863317280054616,-2.5509150935868092,-2.5179313900589477,-2.487249361063732,-2.4587198761037143,-2.4321917339802894,-2.4073870955762686,-2.384076189417101,-2.36212207671997,-2.338103287609556,-2.3162258398988342},
+{-2.8731443407832558,-3.1159111050437787,-3.0836060914589325,-2.992724781859579,-2.90397831073642,-2.821099365959526,-2.757661076346267,-2.714434648922179,-2.670746258321742,-2.631118029457866,-2.59337486685763,-2.557863338592142,-2.5247890308928618,-2.494023646959249,-2.465418446718104,-2.438820547529758,-2.4139490326851956,-2.3905747836688533,-2.3685605497521465,-2.3444765367239597,-2.3225483776077454},
+{-2.879985214838598,-3.1240431994265236,-3.0918435076382593,-3.0007800416788086,-2.9118304897638154,-2.82874287476443,-2.7651338057257817,-2.7218062174943043,-2.6780108189450402,-2.63828857147746,-2.6004379395308206,-2.5648311987461057,-2.5316659940144746,-2.500816995754576,-2.472135928193893,-2.4454680328017275,-2.4205294144812797,-2.397091621605796,-2.3750170618732227,-2.350867602217477,-2.3288886689406354},
+{-2.8868469141707465,-3.1321992724842858,-3.100105081604852,-3.0088587512836966,-2.9197053482712363,-2.836408311526611,-2.7726280238821346,-2.729198777811689,-2.685296054871287,-2.6454794139463047,-2.6075210004819382,-2.5718187249003677,-2.538562328340049,-2.507629458206793,-2.478872370054887,-2.4521342375519453,-2.427128288469248,-2.4036267518276873,-2.3814916579103738,-2.3572765316057485,-2.3352467475524463},
+{-2.8937295005162014,-3.140379394069896,-3.108390879617218,-3.01696097607055,-2.9276029468710476,-2.844095735828887,-2.780143788397254,-2.7366123858118954,-2.692602017752506,-2.6526906089056865,-2.6146241025053314,-2.5788259667424427,-2.545478087198717,-2.5144610840397945,-2.4856278240513348,-2.458819210252841,-2.43374570359083,-2.4101802197073994,-2.3879843867871386,-2.363703373732278,-2.3416226497720345},
+{-2.900633035842475,-3.1485836318715883,-3.1167009705022792,-3.0250867808535986,-2.9355233468049846,-2.851805202997639,-2.7876811590831494,-2.744047097825387,-2.6999287623875716,-2.659922208302305,-2.6217473004908243,-2.585852976379101,-2.552413320110645,-2.5213119245890994,-2.492402339099499,-2.465522998256347,-2.440381708667701,-2.4167520737973973,-2.3944952936253685,-2.370148176771181,-2.3480164080974646},
+{-2.9075575823044346,-3.156812056313356,-3.1250354208204953,-3.0332362319568347,-2.9434666086417565,-2.8595367731541046,-2.7952401936418028,-2.7515029707610665,-2.7072763406322338,-2.667174264541245,-2.6288906487643544,-2.5928998036506528,-2.5593680797173874,-2.528182030058815,-2.499195967138803,-2.47224565216311,-2.4470363529908354,-2.4233423600344395,-2.4010244264209177,-2.376610989605979,-2.3544280563728535},
+{-2.9145032024334796,-3.1650647369206126,-3.1333942991004733,-3.0414093943982152,-2.951432793484855,-2.8672905034072755,-2.8028209507283464,-2.7589800606692734,-2.7146448066887388,-2.674446829871158,-2.6360541995927633,-2.599966500449227,-2.566342415888357,-2.53507145263211,-2.5060087592864875,-2.4789872196124634,-2.453709685116337,-2.4299511278913997,-2.4075718311905803,-2.383091859497654,-2.360857628773374},
+{-2.9214699581934838,-3.17334174302232,-3.1417776732450875,-3.0496063346981828,-2.9594219633181638,-2.8750664510153,-2.8104234898273717,-2.7664784248736396,-2.722034215221356,-2.6817399566207314,-2.643238010328787,-2.607053117459145,-2.573336381028639,-2.541980244375736,-2.5128407652264286,-2.4857477500117966,-2.460401753865881,-2.436578423701576,-2.4141375556137064,-2.389590837959986,-2.367305157989904},
+{-2.928457912932572,-3.1816431448678486,-3.1501856107934145,-3.0578271172089444,-2.9674341781319526,-2.882864675975725,-2.8180478677895735,-2.773998118704185,-2.7294446186460846,-2.689053697849886,-2.650442133704928,-2.6141597056885075,-2.5803500241709116,-2.54890845544287,-2.5196920367707207,-2.492527292248269,-2.4671126091343467,-2.443224295777327,-2.4207216463328223,-2.3961079723849252,-2.3737706755127874},
+{-2.935467129200333,-3.1899690126956557,-3.1586181807142566,-3.0660718095023185,-2.975469500193867,-2.8906852349209657,-2.825694145358284,-2.781539200550469,-2.7368760725476022,-2.696388106276572,-2.6576666254877637,-2.6212863176260726,-2.5873833990517596,-2.5558561385332723,-2.5265626238870027,-2.499325895361835,-2.473842300238175,-2.449888792292768,-2.4273241511436936,-2.4026433137332788,-2.380254214458546},
+{-2.942497669821023,-3.1983194166205067,-3.1670754513324937,-3.07434047804054,-2.9835279912476835,-2.898528188597993,-2.8333623807993717,-2.7891017273577745,-2.7443286316374724,-2.7037432368524605,-2.6649115405489283,-2.6284330031594436,-2.5944365562136227,-2.562823347405356,-2.533452577674325,-2.5061436097166734,-2.4805908774069394,-2.456571959221037,-2.4339451179366733,-2.4091969103938027,-2.3867558060082956},
+{-2.9495495986757305,-3.206694427623006,-3.175557491107611,-3.0826331878488418,-2.9916097127643297,-2.9063935941958334,-2.841052632105857,-2.7966857546816755,-2.7518023518132395,-2.7111191401090764,-2.6721769337164005,-2.6355998156905116,-2.6015095474176633,-2.569810133205465,-2.5403619495991734,-2.5129804841271834,-2.487358389695146,-2.4632738470136246,-2.440584593663516,-2.41576881230867,-2.393275482671015},
+{-2.956622978679661,-3.21509411639272,-3.1840643689174613,-3.090950006560888,-2.9997147264439263,-2.914281510402361,-2.848764960155677,-2.80429134123915,-2.759297288288508,-2.7185158720276377,-2.679462861171487,-2.6427868061618938,-2.6086024243595602,-2.576816549884825,-2.54729079020035,-2.5198365688775084,-2.49414488696857,-2.46999450281146,-2.447242625821673,-2.4223590706533287,-2.399813277679641},
+{-2.9637178737411887,-3.2235185539720987,-3.1925961539236596,-3.0992910003733414,-3.0078430949142785,-2.922191996491165,-2.8564994221051165,-2.811918544146465,-2.766813496597024,-2.7259334856644273,-2.6867693777167005,-2.64999402677131,-2.615715237952827,-2.583842650954466,-2.5542391511262394,-2.526711912956671,-2.5009504189147265,-2.4767339748796076,-2.453919264495198,-2.428967734609614,-2.4063692230338347},
+{-2.9708343474558205,-3.2319678112398833,-3.2011529141709616,-3.1076562351736357,-3.0159948793952935,-2.9301251108554425,-2.864256078883045,-2.8195674195994798,-2.7743510332838923,-2.7333720348506176,-2.694096539125894,-2.657221528712398,-2.622848040620738,-2.5908884893469804,-2.56120708351591,-2.533606566470553,-2.5077750356031174,-2.4834923115195124,-2.4606145560901496,-2.435594853690418,-2.41294335101702},
+{-2.977972464166669,-3.24044196027171,-3.209734720257984,-3.1160457803889585,-3.0241701431841648,-2.9380809149770357,-2.8720349892500963,-2.8272380260459613,-2.781909956389427,-2.7408315738866804,-2.70144440137301,-2.6644693665002706,-2.6300008844009426,-2.597954120061331,-2.5681946383047034,-2.540520580656448,-2.514618787863583,-2.4902695601012965,-2.4673285491371644,-2.442240479234897,-2.4195356942509534},
+{-2.9851322876038466,-3.2489410719608713,-3.2183416408588528,-3.12445970056433,-3.0323689481665497,-2.9460594655174646,-2.8798362114939664,-2.834930420769524,-2.789490322375059,-2.7483121570039657,-2.708813019864465,-2.671737590684643,-2.637173821556644,-2.6050395959900925,-2.5752018670718826,-2.547454004725296,-2.5214817251762724,-2.4970657706981,-2.474061292818078,-2.448904661585402,-2.426146287310985},
+{-2.9923138824760827,-3.2574652191651694,-3.2269737455462746,-3.132898064377514,-3.0405913573267753,-2.954060823216423,-2.88765980736207,-2.84264466147215,-2.7970921892192564,-2.755813839889015,-2.7162024514909717,-2.6790262561116833,-2.6443669043219415,-2.612144973300019,-2.582228821927856,-2.554406890016253,-2.5283638986911683,-2.5038809921679785,-2.4808128347067395,-2.4555874518482597,-2.4327751640157658},
+{-2.999517312946409,-3.266014472919778,-3.2356311038747663,-3.141360938705475,-3.048837432390428,-2.9620850474821054,-2.895505834108917,-2.850380805783061,-2.804715614129236,-2.7633366761219804,-2.7236127516734996,-2.686335412756307,-2.6515801847963303,-2.619270305523969,-2.589275553200423,-2.561379286536976,-2.5352653574482247,-2.5107152723030595,-2.4875832247853396,-2.46228890036582,-2.439422359013406},
+{-3.0067426443620207,-3.2745889062061906,-3.2443137866466714,-3.149848390643456,-3.0571072375169024,-2.9701321971333527,-2.9033743532672815,-2.8581389119026426,-2.812360657208046,-2.7708807213421096,-2.731043976487854,-2.693665117069031,-2.6588137166218075,-2.6264156484066916,-2.5963421133492375,-2.5683712447389553,-2.542186153383227,-2.5175686609800323,-2.4943725113771507,-2.469009057756921,-2.4460879068283248},
+{-3.0139899409568898,-3.2831885912928556,-3.253021862677997,-3.15836048896017,-3.065400834999309,-2.9782023342304456,-2.9112654237287643,-2.8659190374564787,-2.8200273773363733,-2.778446030748455,-2.738496182813833,-2.7010154202253034,-2.666067551883316,-2.6335810576019867,-2.603428554797574,-2.575382816212368,-2.5491263365947816,-2.524441205419862,-2.5011807447081083,-2.4757479753388907,-2.4527718427270884},
+{-3.0212592685293203,-3.291813600968453,-3.261755402723793,-3.1668973006671877,-3.073718288087548,-2.986295516770042,-2.9191791058401577,-2.8737212404812453,-2.8277158337259607,-2.786032659379998,-2.7459694260032848,-2.7083863767038565,-2.6733417441428173,-2.6407665875085513,-2.6105349295321503,-2.582414052078093,-2.5560859577162773,-2.5313329571326904,-2.508007973585336,-2.4825057043126435,-2.4594742038461845},
+{-3.0285506919317413,-3.3004640081635443,-3.270514477204415,-3.175458893609175,-3.0820596604062303,-2.9944118052808335,-2.9271154594280233,-2.8815455791627755,-2.835426087334781,-2.793640663527185,-2.753463763216132,-2.7157780410743726,-2.680636347089603,-2.6479722958210914,-2.6176612882409245,-2.5894650034642837,-2.563065067744901,-2.5382439653549227,-2.5148542475435534,-2.4892822967958637,-2.466195028478978},
+{-3.0358642769715516,-3.3091398860124173,-3.2792991564092517,-3.1840453358527157,-3.0904250143612444,-3.002551261026383,-2.9350745437914156,-2.8893921119597508,-2.8431581979602925,-2.8012700979415968,-2.7609792510120315,-2.723190465632797,-2.6879514133979683,-2.655198237080185,-2.62480768424939,-2.596535720698739,-2.570063716451841,-2.5451742780132918,-2.5217196168014198,-2.4960778033273527,-2.472934352590528},
+{-3.0432000891087228,-3.3178413082205225,-3.2881095111697505,-3.1926566959118645,-3.0988144153088797,-3.010713942552684,-2.94305642152176,-2.8972608964504616,-2.850912227106164,-2.8089210201105743,-2.7685159450556966,-2.730623706280312,-2.6952869975793874,-2.662444467863679,-2.631974169653404,-2.6036262578090827,-2.5770819562130782,-2.5521239480076474,-2.528604131184693,-2.5028922756100656,-2.479692216787953},
+{-3.050558194434416,-3.326568347903958,-3.2969456121318217,-3.201293042526231,-3.1072279256441107,-3.018899912829511,-2.951061151077738,-2.9051519917302357,-2.8586882368726947,-2.8165934848257166,-2.776073902605276,-2.7380778164406365,-2.7026431526464876,-2.6697110447676096,-2.6391607964760624,-2.6107366639953398,-2.5841198376510874,-2.559093021314766,-2.5355078422799124,-2.5097257664019708,-2.486468657683872},
+{-3.0579386585122847,-3.3353210792665777,-3.3058075304761587,-3.2099544433331175,-3.1156656095554354,-3.027109230737551,-2.9590887937920343,-2.9130654564360157,-2.8664862889818323,-2.8242875487449055,-2.7836531790198933,-2.745552851491084,-2.7100199332453485,-2.676998023969645,-2.646367617544456,-2.61786699282311,-2.5911774119522306,-2.5660815501541947,-2.5424307994326227,-2.516578327602474,-2.4932637183883344},
+{-3.065341548559445,-3.344099576213921,-3.3146953369614494,-3.2186409670430294,-3.1241275320135173,-3.035341957354831,-2.96713940990594,-2.921001348822756,-2.874306447007257,-2.8320032692790846,-2.791253832692746,-2.7530488664779114,-2.717417393647338,-2.6843054638593458,-2.6535946861295088,-2.62501729682117,-2.5982547308085486,-2.5730895850938396,-2.549373052563169,-2.5234500117367133,-2.500077439210145},
+{-3.072766929966747,-3.3529039129825833,-3.323609103241324,-3.2273526830031187,-3.132613754718477,-3.0435981549198914,-2.9752130600754754,-2.9289597272545507,-2.8821487730419904,-2.8397407017364458,-2.7988759186955576,-2.7605659143810044,-2.7248355876581627,-2.691633419068239,-2.6608420536540507,-2.6321876267611515,-2.605351843922108,-2.5801171755156247,-2.556334654982493,-2.530340871315275,-2.5069098628373467},
+{-3.0802148701604892,-3.3617341638018843,-3.332548900438269,-3.236089659450954,-3.14112434506751,-3.051877882440749,-2.983309806604666,-2.9369406506302767,-2.8900133313873084,-2.847499903953576,-2.806519494199165,-2.7681040527604637,-2.7322745706951537,-2.6989819484551845,-2.6681097732616763,-2.639378035812115,-2.6124688049094402,-2.587164372918778,-2.5633156558542396,-2.5372509593726136,-2.5137610320962267},
+{-3.087685435588355,-3.370590404396353,-3.3415148006861273,-3.2448519666031643,-3.1496593655683682,-3.0601812040076766,-2.9914297091127082,-2.9449441787401156,-2.8979001861262077,-2.855280933003087,-2.8141846168109623,-2.775663335003628,-2.739734397033317,-2.7063511085252685,-2.675397899118252,-2.646588577896182,-2.6196056652333937,-2.5942312259139726,-2.570316107594408,-2.54418032936519,-2.5206309906134265},
+{-3.095178693627531,-3.3794727086642524,-3.3505068753802334,-3.2536396721225174,-3.1582188817410497,-3.0685081794545113,-2.9995728297108144,-2.9529703692533076,-2.905809401992883,-2.863083845586516,-2.821871340947837,-2.783243818750634,-2.7472151206420676,-2.713740957020491,-2.682706483596121,-2.6538193045707885,-2.6267624753600103,-2.601317788292363,-2.5773360619932646,-2.5511290334616206,-2.52751978446031},
+{-3.1026947110422043,-3.388381151969952,-3.3595251962615293,-3.262452846240194,-3.166802958905464,-3.076858870095748,-3.007739229593426,-2.961019281672634,-2.9137410446965077,-2.870908699482243,-2.829579726578231,-2.790845558338333,-2.7547167981247185,-2.721151552104857,-2.6900355794205097,-2.6610702700781985,-2.63393928820733,-2.6084241100834333,-2.584375570710108,-2.5580971266463166,-2.5344274605449755},
+{-3.110233555737068,-3.3973158098815475,-3.3685698360168317,-3.2712915579213586,-3.175411659947713,-3.085233338748367,-3.0159289688999706,-2.9690909750934225,-2.9216951785056153,-2.8787555520029855,-2.8373098272058996,-2.798468608660187,-2.7622394828213146,-2.7285829503998684,-2.697385240753647,-2.668341526914446,-2.641136155129061,-2.615550241469464,-2.5914346852950985,-2.5650846613789327,-2.5413540648514754},
+{-3.1177952948091843,-3.406276757843443,-3.3776408665289637,-3.2801558772771386,-3.184045051842986,-3.0936316458646616,-3.024142111691617,-2.9771855086582946,-2.929671869980666,-2.8866244606979308,-2.8450617016205797,-2.8061130262758525,-2.769783231055044,-2.736035209381953,-2.704755520397157,-2.6756331289725495,-2.6483531282501644,-2.622696234509931,-2.5985134582952014,-2.5720916927675717,-2.548299646412488},
+{-3.1253799965215876,-3.4152640723550576,-3.3867383600445464,-3.2890458741203474,-3.1927031994928257,-3.102053856397106,-3.032378718697146,-2.9853029424484703,-2.937671185391082,-2.8945154841385374,-2.852835406207305,-2.8137788671810995,-2.777348098188668,-2.743508388797636,-2.7121464727679268,-2.6829451303565293,-2.655590260568715,-2.6298621400928823,-2.605611943472468,-2.5791182738612406,-2.5552642536495114},
+{-3.1329877287098498,-3.4242778284460655,-3.3958623892431206,-3.297961617099645,-3.201386167998862,-3.110500030510593,-3.040638851671247,-2.993443335082702,-2.945693192057661,-2.9024286801723065,-2.8606309972128656,-2.8214661874335434,-2.784934138835524,-2.751002545344818,-2.719558150944067,-2.6902775853086496,-2.662847602972761,-2.6370480109544587,-2.6127301911838003,-2.5861644587421324,-2.5622479381563608},
+{-3.1406185595951683,-3.433318103063357,-3.4050130270225054,-3.3069031778431963,-3.2100940231503046,-3.1189702305782703,-3.048922573623713,-3.001606746118341,-2.9537379557150416,-2.910364106293855,-2.868448532808543,-2.8291750431380933,-2.792541409657133,-2.7585177373330225,-2.726990609182394,-2.6976305477364804,-2.6701252088023466,-2.644253899139585,-2.61986825583881,-2.593230302707525,-2.5692507512503653},
+{-3.148272557578821,-3.442384972709988,-3.414190346495161,-3.315870625567186,-3.2188268307472754,-3.1274645215708006,-3.057229945297877,-3.009793236706173,-2.961805544080562,-2.918321821343852,-2.876288069244765,-2.836905490628851,-2.800169965128589,-2.7660540230281185,-2.7344439021035214,-2.7050040712565533,-2.6774231306189904,-2.6514798557327595,-2.6270261914032744,-2.600315858500835,-2.576272745813185},
+{-3.155949791373132,-3.4514785139072046,-3.423394420005934,-3.3248640298261307,-3.227584656342515,-3.1359829621433164,-3.065561031267862,-3.018002864308073,-2.9698960241694294,-2.9263018841775192,-2.884149663052085,-2.844657584773813,-2.8078198623479693,-2.773611460652319,-2.7419180826691445,-2.712398211187974,-2.684741420096543,-2.6587259342559264,-2.6342040499075665,-2.607421181637619,-2.583313973947952},
+{-3.163650329795928,-3.4605988040857483,-3.432625321478554,-3.333883463143138,-3.2363675662600144,-3.144525619856722,-3.0739158934447914,-3.026235691013426,-2.978009464513889,-2.934304352649633,-2.8920333720561757,-2.85243138455553,-2.8154911567107774,-2.781190108951705,-2.749413206227473,-2.7198130230390234,-2.6920801308442606,-2.665992185815412,-2.641401885608502,-2.614546325188712,-2.5903744909810484},
+{-3.1713742412430292,-3.4697459198432625,-3.441883123887237,-3.342928993937676,-3.2451756267691962,-3.1530925550723623,-3.082294593703409,-3.034491775189963,-2.986145932391082,-2.9423292866777047,-2.899939253591583,-2.860226944732858,-2.82318390403816,-2.788790025631897,-2.7569293268752517,-2.7272485602952656,-2.699439315860218,-2.6732786630673218,-2.648619751940714,-2.6216913440730423,-2.5974543524644105},
+{-3.179121595896504,-3.478919939032494,-3.4511679009738145,-3.352000693757873,-3.2540089047761285,-3.1616838320333045,-3.0906971968870494,-3.0427711778211233,-2.994305495849403,-2.950376744305686,-2.9078673638832697,-2.8680443235498387,-2.830898161548248,-2.796411270290264,-2.76446650071739,-2.7347048789306427,-2.7068190274803783,-2.6805854216145235,-2.6558577033065376,-2.628856293791614,-2.60455361471395},
+{-3.186892462152173,-3.4881209392442543,-3.4604797267893446,-3.36109863420279,-3.2628674656261865,-3.170299515270017,-3.0991237653943244,-3.0510739593519247,-3.0024882227444323,-2.958446786047716,-2.9158177624813106,-2.8758835767948767,-2.838633985404158,-2.8040539014764363,-2.7720247823745012,-2.7421820345916785,-2.714219319408585,-2.6879125118939555,-2.663115795738122,-2.636041228484828,-2.611672336788615},
+{-3.194686910353994,-3.4973489981275634,-3.469818674177077,-3.3702228844340425,-3.271751376465545,-3.17893966542033,-3.1075743627188785,-3.0594001800163824,-3.0106941803860536,-2.9665394687253865,-2.923790503744385,-2.883744761631533,-2.846391430888616,-2.8117179757537087,-2.7796042242989643,-2.7496800809021806,-2.721640243617003,-2.695259987798636,-2.6703940812367364,-2.6432462005031994,-2.618810574662348},
+{-3.2025050100019143,-3.5066041940699506,-3.4791848178465443,-3.3793735170329455,-3.280660704462207,-3.1876043497613864,-3.1160490525471687,-3.067749900426861,-3.0189234371719067,-2.9746548540351796,-2.931785646807839,-2.8916279359109467,-2.8541705563111464,-2.819403554116434,-2.787204884705716,-2.7571990745855146,-2.7290818550027325,-2.702627902246604,-2.677692615550768,-2.6504712653913884,-2.6259683891330496},
+{-3.2103468313871417,-3.5158866052952362,-3.488578231790598,-3.388550602034229,-3.289595516391273,-3.1962936308445933,-3.124547898572928,-3.0761231809483434,-3.0271760610303318,-2.982793000570382,-2.9398032494027575,-2.8995331568148686,-2.8619714175219997,-2.8271106943502673,-2.7948268172403914,-2.7647390715719666,-2.7365442057853215,-2.7100163103241357,-2.685011454806954,-2.6577164780610474,-2.6331458399581606},
+{-3.218212444016899,-3.5251963102527952,-3.4979989906350966,-3.397754211076972,-3.2985558795480756,-3.2050075719125743,-3.133070965643128,-3.084520083055395,-3.035452120919217,-2.990953969736438,-2.947843368507165,-2.90746048209985,-2.869794072554214,-2.8348394549902878,-2.8024700798559934,-2.77230012727523,-2.744027350760007,-2.717425265298516,-2.69235065261455,-2.664981894515222,-2.6403429886340746},
+{-3.226101918897257,-3.53453338815234,-3.507447168674844,-3.406984416207706,-3.307541860620404,-3.213746240016917,-3.1416183168075804,-3.092940666996583,-3.043751682525908,-2.999137819992029,-2.955906063230941,-2.9154099706356646,-2.87763857858954,-2.8425898956120363,-2.8101347251431434,-2.7798822970944457,-2.7515313441253966,-2.724854821797635,-2.6997102649402223,-2.672267567293602,-2.6475598978213384},
+{-3.2340153264558467,-3.5438979175669374,-3.5169228404047317,-3.416241288628953,-3.316553527954966,-3.2225096970687446,-3.150190018430294,-3.1013849952469172,-3.0520748146809638,-3.007344611796725,-2.9639913904757123,-2.9233816786145326,-2.8855049930280074,-2.850362075267185,-2.8178208119861665,-2.7874856377675314,-2.759056237686309,-2.7323050352933933,-2.707090349358623,-2.679573551824433,-2.654796629169141},
+{-3.241952737491374,-3.5532899779936997,-3.5264260812873545,-3.4255249006819213,-3.32559094870885,-3.231298010061437,-3.158786134685215,-3.109853128546092,-3.0604215847451997,-3.015574406104861,-2.972099408732902,-2.931375665437372,-2.8933933731532306,-2.858156051079277,-2.825528394881985,-2.795110203936929,-2.7666020879114512,-2.7397759582745493,-2.714490960650437,-2.6868999031867133,-2.6620532454180648},
+{-3.249914222769803,-3.5627096490643453,-3.535956965846708,-3.4348353229834174,-3.3346541916289425,-3.2401112427287444,-3.167406730241055,-3.11834512868154,-3.0687920599302743,-3.023827263881685,-2.980230176486657,-2.9393919900539913,-2.901303777223802,-2.8659718839626294,-2.833257531543495,-2.8027560544142034,-2.7741689491740544,-2.747267647413537,-2.7219121547896066,-2.6942466771652107,-2.669329811440548},
+{-3.25789985393385,-3.57215701010864,-3.5455155699673924,-3.444172628067463,-3.343743323817762,-3.248949460034055,-3.1760518706469156,-3.1268610560036905,-3.0771863069021492,-3.03210324630345,-2.988383752803202,-2.9474307110285736,-2.9092362646842957,-2.873809632874327,-2.841008276962384,-2.8104232434925507,-2.781756874595885,-2.7547801587861613,-2.729353987786453,-2.7016139289553394,-2.6766263915560558},
+{-3.265909702015051,-3.581632140914735,-3.5551019675804127,-3.453536888031522,-3.352858412774367,-3.257812728126737,-3.184721621713834,-3.1354009743554343,-3.085604393239919,-3.0404024135350483,-2.996560195708298,-2.9554918864523643,-2.9171908919888665,-2.8816693551343633,-2.848780689666455,-2.81811182796082,-2.7893659193068743,-2.762313545397774,-2.7368165184452664,-2.7090017130831257,-2.683943050840753},
+{-3.2739438386506663,-3.5911351222712256,-3.5647162351560837,-3.462928175289562,-3.361999528857268,-3.2667011110461317,-3.1934160493510717,-3.143964944538311,-3.094046384045214,-3.048724826963735,-3.004759564806591,-2.963575576679432,-2.9251677198917605,-2.8895511118898867,-2.8565748245455325,-2.825821864702448,-2.79699613921548,-2.7698678652668605,-2.744299801714078,-2.7164100865848013,-2.691279854363529},
+{-3.2820023359090555,-3.6006660346210992,-3.57435844882275,-3.472346562117309,-3.371166737873864,-3.275614676542318,-3.2021352187002776,-3.1525530296203215,-3.1025123471408733,-3.0570705492646084,-3.012981918276637,-2.971681839640951,-2.9331668071754393,-2.8974549606864457,-2.864390740345698,-2.8335534106518026,-2.804647589153319,-2.7774431727448246,-2.751803895283956,-2.7238391050996142,-2.698636866924062},
+{-3.2900852657749056,-3.610224957781611,-3.584028683402721,-3.4817921209578344,-3.3803601111831085,-3.284553489458631,-3.2108791977552755,-3.161165291610814,-3.1110023481815006,-3.0654396417739918,-3.021227315752185,-2.9798107368551427,-2.9411882119093207,-2.9053809638353414,-2.8722284940376994,-2.8413065217173425,-2.8123203237119014,-2.7850395256391494,-2.7593288568459684,-2.731288824681542,-2.706014155810408},
+{-3.2981927001801523,-3.619811973265314,-3.5937270161812194,-3.4912649250400136,-3.389579716280423,-3.293517615140445,-3.219648052505363,-3.169801793024817,-3.1195164539531106,-3.0738321663739043,-3.0294958184604184,-2.9879623277374776,-2.9492319955970743,-2.9133291778489365,-2.8800881429051515,-2.8490812563395593,-2.820014398872445,-2.792656980913307,-2.7668747438365244,-2.7387593029634445,-2.713411786760844},
+{-3.3063247117479477,-3.6294271615552134,-3.603453521769552,-3.5007650459738215,-3.398825621097785,-3.302507120795781,-3.228441847844806,-3.1784625974469236,-3.1280547278074664,-3.0822481854556827,-3.0377874843397876,-2.996136671412387,-2.9572982167373993,-2.921299663175887,-2.8879697448865045,-2.8568776696702116,-2.827729869481118,-2.800295593602641,-2.7744416138593806,-2.7462505949442857,-2.72082982500433},
+{-3.3144813731851173,-3.6390706041165686,-3.613208277954982,-3.5102925572027743,-3.408097895942774,-3.311522071071522,-3.2372606540338893,-3.187147766828275,-3.1366172363996156,-3.090687761672598,-3.0461023745228886,-3.004333828786912,-2.9653869370959,-2.92929247936263,-2.895873357425444,-2.8646958197059575,-2.835466791773797,-2.807955421762017,-2.7820295244673616,-2.753762759384699,-2.728268338556518},
+{-3.3226627570657,-3.648742383098579,-3.6229913607239723,-3.5198475321303704,-3.417396610475407,-3.320562535434874,-3.246104536941857,-3.195857366139535,-3.145204045853461,-3.0991509582745493,-3.0544405475448,-3.012553860862681,-2.9734982176378253,-2.9373076867632335,-2.9037990392316715,-2.8725357645816985,-2.843225223426998,-2.815636521241686,-2.7896385352651123,-2.7612958526224247,-2.735727391882392},
+{-3.3308689366913313,-3.6584425793480477,-3.632802846859704,-3.529430043516186,-3.426721833388001,-3.329628578008851,-3.254973563387466,-3.204591457211791,-3.1538152195862494,-3.107637837747461,-3.0628020665535587,-3.0207968279792112,-2.9816321176549536,-2.9453453443202307,-2.911746847406903,-2.8803975612463546,-2.851005219388753,-2.823338952199265,-2.797268701819121,-2.7688499322903226,-2.743207052597427},
+{-3.3390999852599634,-3.668171275370696,-3.642642812923441,-3.5390401645636302,-3.436073635781213,-3.3387202668745886,-3.263867803303583,-3.213350104753772,-3.162450823430845,-3.1161484639596893,-3.071186990411661,-3.0290627920694533,-2.989788701153884,-2.9534055132899084,-2.9197168424725533,-2.8882812669617124,-2.858806835283758,-2.8310627719329204,-2.8049200843888684,-2.776425056894368,-2.750707386621798},
+{-3.347355976131439,-3.67792855289008,-3.652511336906173,-3.5486779691018455,-3.445452085492434,-3.3478376688508433,-3.2727873212788836,-3.2221333724046417,-3.1711109218085767,-3.124682900321204,-3.079595380622777,-3.0373518135093036,-2.997968028881587,-2.9614882523819688,-2.927709082272486,-2.8961869392514927,-2.866630128439283,-2.8388080373842968,-2.812592742156994,-2.784021284423943,-2.7582284606905887},
+{-3.3556369830421318,-3.687714494542888,-3.6624084946524817,-3.5583435294356605,-3.454857253109367,-3.356980849926913,-3.2817321898219234,-3.2309413247348857,-3.179795579111669,-3.133241209689004,-3.088027298603265,-3.045663954282645,-3.006170163003844,-2.969593622518005,-2.9357236249779817,-2.9041146360250423,-2.8744751557169366,-2.8465748078306206,-2.8202867332438473,-2.79163867153693,-2.765770337959111},
+{-3.363943080368699,-3.6975291832313815,-3.6723343655139615,-3.5680369215806422,-3.46428920897597,-3.3661498799228866,-3.2907024747000833,-3.239774025456427,-3.188504859681416,-3.1418234577722615,-3.096482805820415,-3.053999276329705,-3.0143951675781864,-2.977721683884738,-2.9437605305720353,-2.912064415650093,-2.8823419742984697,-2.8543631413922412,-2.828002115347772,-2.79927727697941,-2.773333085133345},
+{-3.3722743410762632,-3.707372701352142,-3.6822890258081316,-3.5777582175069256,-3.4737480236981355,-3.3753448242132436,-3.299698245140462,-3.2486315404130437,-3.1972388289213995,-3.1504297078136005,-3.104961963777896,-3.0623578417653334,-3.0226431047412916,-2.9858724977020756,-2.951819858615636,-2.920036335613986,-2.8902306416857755,-2.8621730959930574,-2.835738949783263,-2.8069371605160995,-2.7809167667801376},
+{-3.380630840361846,-3.7172451316764636,-3.6922725534932397,-3.587507491643919,-3.4832337682382786,-3.3845657516903884,-3.3087195712141693,-3.2575139334367123,-3.2059975497977575,-3.159060025078361,-3.113464834073966,-3.0707397126680007,-3.0309140382596524,-2.99404612298531,-2.959901669601095,-2.9280304546118714,-2.8981412152570556,-2.8700047346937936,-2.8434972943141474,-2.814618380689353,-2.7885214477719273},
+{-3.3890126523801882,-3.7271465577869094,-3.702285026352911,-3.597284817296895,-3.492746510892175,-3.3938127299697953,-3.317766520267469,-3.266421269829152,-3.21478108647716,-3.167714474067907,-3.121991479922144,-3.0791449507159996,-3.0392080325545976,-3.002242621645564,-2.9680060218670405,-2.9360468304366805,-2.906073751866643,-2.877858112893591,-2.8512772100730217,-2.8223209938805667,-2.796147192006174},
+{-3.3974198519608763,-3.7370770637389796,-3.7123265232112317,-3.6070902701758314,-3.5022863248741487,-3.4030858264595736,-3.326839163844852,-3.2753536152813467,-3.2235895040575997,-3.17639311941457,-3.130541962796997,-3.0875736195011996,-3.0475251521420432,-3.0104620543133933,-2.976132976153167,-2.9440855217471835,-2.914028310944559,-2.885733292889199,-2.8590787537032156,-2.83004506083671,-2.803794063234818},
+{-3.4058525138862024,-3.747036731954722,-3.722397122066468,-3.6169239237424335,-3.5118532808264717,-3.4123851106523944,-3.3359375695654307,-3.284311036019062,-3.2324228667494026,-3.1850960275842226,-3.139116344973445,-3.096025781269418,-3.0558654610504163,-3.0187044820850133,-2.9842825935556903,-2.952146586518211,-2.922004949185066,-2.8936303333903197,-2.8669019888620824,-2.8377906397217885,-2.8114621236818493},
+{-3.4143107134405,-3.7570256478938973,-3.7324969021137804,-3.6267858528735815,-3.521447449376865,-3.421710650327441,-3.3450618086280883,-3.2932935969147366,-3.2412812386537553,-3.193823262794467,-3.1477146900142543,-3.104501498179161,-3.0642290257601417,-3.0269699660493643,-2.9924549341449165,-2.960230084871,-2.930003726753057,-2.9015492948965402,-2.874746972724097,-2.845557787681173,-2.819151437433902},
+{-3.4227945257825922,-3.7670438941422617,-3.742625940929429,-3.636676131078275,-3.5310689023863233,-3.4310625134094153,-3.354211950707395,-3.302301364179584,-3.2501646836972213,-3.2025748923697392,-3.1563370609947015,-3.11300083452079,-3.0726159110708977,-3.0352585674918373,-3.0006500599047286,-2.9683360750277643,-2.9380247002700344,-2.9094902394062956,-2.882613766567374,-2.853346565818356,-2.826862065710884},
+{-3.4313040269225894,-3.777091555570223,-3.7527843186726386,-3.6465948343175114,-3.5407177099841647,-3.4404407699948933,-3.363388064710307,-3.311334405101661,-3.2590732679745997,-3.2113509804403293,-3.164983520109672,-3.1215238515869714,-3.0810261832521064,-3.043570347574132,-3.008868030628946,-2.9764646141047706,-2.9460679302283097,-2.9174532262040884,-2.890502430345805,-2.861157030063623,-2.8345940724175307},
+{-3.4398392921866616,-3.7871687173319515,-3.7629721139783214,-3.6565420369588537,-3.5503939459267713,-3.4498454871027207,-3.3725902239530114,-3.320392785506556,-3.268007053840847,-3.220151595356583,-3.1736541320278775,-3.130070614271972,-3.0894599084422225,-3.0519053686439293,-3.01710890832328,-2.9846157639403827,-2.954133475483104,-2.9254383183579193,-2.898413026196067,-2.8689892398251686,-2.8423475187737495},
+{-3.448400398092417,-3.7972754636066384,-3.773189406205347,-3.666517814519466,-3.5600976807072584,-3.4592767362191807,-3.381818495276093,-3.32947657242039,-3.2769661080819787,-3.2289768020418705,-3.1823489592570695,-3.138641183330037,-3.0979171527869767,-3.0602636912226444,-3.0253727544040885,-2.992789581170655,-2.962221395711822,-2.9334455751013593,-2.906345613155281,-2.8768432524520904,-2.850122465417371},
+{-3.4569874196095043,-3.8074118795448157,-3.7834362746616534,-3.676522241185012,-3.5698289870379085,-3.468734585410857,-3.391072952079412,-3.338585833829711,-3.2859504955777084,-3.2378266678133514,-3.1910680655855685,-3.147235624943278,-3.1063979849786847,-3.0686453783055185,-3.0336596313863993,-3.0009861276266747,-2.9703317511448404,-2.9414750591749907,-2.914300253833062,-2.884719128582219,-2.857918975147186},
+{-3.4656004347871203,-3.8175780501733243,-3.7937127998811775,-3.686555393564049,-3.5795879377183155,-3.478219103824813,-3.4003536637101206,-3.347720636826125,-3.294960280160012,-3.246701259893598,-3.1998115167443757,-3.155854001051921,-3.1149024697369896,-3.0770504918764345,-3.0419696016106172,-3.0092054616470705,-2.9784646003172384,-2.9495268339305767,-2.9222770075211884,-2.8926169249243685,-2.8657371086228522},
+{-3.474239519035109,-3.8277740606790758,-3.8040190610954596,-3.6966173460859864,-3.589374603365286,-3.487730362023285,-3.409660701523535,-3.356881047518982,-3.30399552849849,-3.25560064396268,-3.2085793744627154,-3.1644963753424236,-3.1234306774058496,-3.0854790914963814,-3.050302726740483,-3.0174476420506835,-2.986620005001896,-2.957600958805415,-2.9302759368365514,-2.9005366988203605,-2.873576925776433},
+{-3.482904749453155,-3.8379999971984944,-3.81435513825636,-3.706708174380765,-3.5991890585355577,-3.49726842826567,-3.4189941374279442,-3.366067135524645,-3.3130563051599893,-3.264524888996675,-3.217371704544348,-3.173162812170631,-3.1319826735852985,-3.093931242787221,-3.058659068425186,-3.0257127306977054,-2.9947980254364666,-2.9656974983226974,-2.93829710240243,-2.908478510726127,-2.881438490774599},
+{-3.491596203715744,-3.8482559453623253,-3.82472111286188,-3.7168279548313876,-3.609031374431652,-3.5068333743438416,-3.4283540407486726,-3.375278968247585,-3.3221426767631783,-3.273474061228626,-3.2261885708285263,-3.1818533753757947,-3.1405585286556743,-3.102407006881549,-3.0670386914425762,-3.0340007870618138,-3.00299872343021,-2.973816514459031,-2.9463405673450325,-2.916442416913924,-2.8893218623124994},
+{-3.5003139584914607,-3.858541990892263,-3.835117064194492,-3.7269767622747167,-3.618901625290164,-3.516425270026957,-3.4377404846600257,-3.384516614751192,-3.331254709373752,-3.2824482287687715,-3.235030038515106,-3.190568129575695,-3.1491583091265056,-3.1109064471456804,-3.0754416581694386,-3.042311870798585,-3.011222159737372,-2.981958069540269,-2.9544063926587114,-2.924428475824243,-2.8972271022357745},
+{-3.5090580910618883,-3.868858220313996,-3.845543074188754,-3.737154674647172,-3.6287998852749297,-3.526044184996863,-3.4471535397678963,-3.393780143254844,-3.3403924701487995,-3.291447460076597,-3.2438961732405005,-3.1993071386095835,-3.157782085312647,-3.119429625759949,-3.083868030771555,-3.050646043404413,-3.0194683948284364,-2.9901222300322843,-2.9624946411931887,-2.9324367468361743,-2.9051542729430366},
+{-3.5178286799455236,-3.879204720036796,-3.855999223429535,-3.7473617653595284,-3.638726224155107,-3.535690190805326,-3.4565932762197917,-3.403069622501789,-3.3495560243172804,-3.3004718224110547,-3.2527870379417436,-3.2080704674808658,-3.1664299247131567,-3.1279766057414236,-3.0923178730736254,-3.0590033647822565,-3.0277374911674997,-2.9983090546447784,-2.970605374437582,-2.94046728694957,-2.913103433966171},
+{-3.5266258024021226,-3.8895815766009036,-3.866485592956451,-3.7575981130139553,-3.6486807185247017,-3.54536335652665,-3.4660597682304797,-3.4123851214608294,-3.35874543931277,-3.3095213835986215,-3.2617026995285414,-3.2168581804435235,-3.1751018969880533,-3.1365474497360992,-3.1007912477798527,-3.0673838953807717,-3.036029511713423,-3.0065186094871024,-2.9787386551251984,-2.9485201549177873,-2.921074647041678},
+{-3.535449536564556,-3.8999888775688305,-3.87700226441666,-3.767863793182187,-3.6586634418672475,-3.5550637559317693,-3.4755530849361094,-3.4217267105923383,-3.367960783180024,-3.3185962129427935,-3.27064322221122,-3.2256703439634293,-3.1837980719355983,-3.1451422230893513,-3.1092882210796233,-3.0757876971983933,-3.044344518588332,-3.0147509580419865,-2.9868945455164067,-2.956595410112641,-2.9290679755213205},
+{-3.544299961107754,-3.9104267086477194,-3.8875493193918373,-3.7781588819671015,-3.668674467229721,-3.5647914581059013,-3.4850732998384046,-3.4310944579701754,-3.377202122093877,-3.3276963782627718,-3.2796086721864413,-3.2345070223527728,-3.192518517818826,-3.1537609875231283,-3.1178088531523827,-3.0842148313313373,-3.052682574823848,-3.0230061631955323,-2.9950731095304945,-2.9646931073220912,-2.9370834784349427},
+{-3.553177154437435,-3.920895158295025,-3.898126839529141,-3.7884834581709583,-3.678713870318461,-3.57454653448076,-3.494620484416373,-3.440488435298903,-3.38646952581621,-3.336821949305886,-3.2885991160947015,-3.243368282550364,-3.201263306538749,-3.1624038080117316,-3.1263532097436837,-3.09266535921779,-3.0610437419163645,-3.0312842914063367,-3.0032744096242823,-2.972813308777404,-2.9451212206331547},
+{-3.5620811955814133,-3.9313943137822207,-3.908734907709004,-3.7988375962886494,-3.688781723019929,-3.5843290586017247,-3.504194709654257,-3.4499087109506945,-3.3957630614968366,-3.3459729937821976,-3.297614617891668,-3.252254189203086,-3.2100325056744623,-3.171070747601334,-3.134921355267579,-3.1011393426379072,-3.0694280852912925,-3.039585405771504,-3.0114985091786366,-2.9809560709181824,-2.953181262491853},
+{-3.5710121628908382,-3.941924262428074,-3.9193736049637664,-3.8092213737800193,-3.6988781023101183,-3.594139099426684,-3.513796048682707,-3.459355356542801,-3.4050827979663154,-3.355149581191654,-3.3066552449017763,-3.261164809395268,-3.218826186384831,-3.179761871797382,-3.1435133528357255,-3.1096368421713123,-3.0778356673472445,-3.0479095705450163,-3.019745471625356,-2.9891214534654864,-2.961263666024024},
+{-3.579970136692282,-3.9524850929046806,-3.930043015159754,-3.8196348694182234,-3.7090030815779755,-3.6039767315014615,-3.523424571598298,-3.4688284422445577,-3.4144288035167847,-3.364351780845027,-3.3157210625431617,-3.270100210349483,-3.2276444194067153,-3.1884772435150808,-3.1521292678880855,-3.118157922908722,-3.0862665521053714,-3.056256851130456,-3.028015360039717,-2.997309513259097,-2.969368493933871},
+{-3.588955195245944,-3.963076892792742,-3.9407432203406643,-3.8300781596226443,-3.7191567363988725,-3.613842025784834,-3.5330803516990272,-3.478328040371707,-3.4238011483030277,-3.3735796619585017,-3.3248121376382187,-3.2790604579495266,-3.236487274429237,-3.19721692946041,-3.1607691629906185,-3.1267026452478603,-3.0947208053185022,-3.0646273114543874,-3.03630823855201,-3.00552030937979,-2.9774958086709375},
+{-3.5979674188347417,-3.973699750724336,-3.9514743041290785,-3.840551321853127,-3.7293391425228037,-3.6237350554583827,-3.542763461577124,-3.487854220875306,-3.4331999010173604,-3.3828332951452467,-3.3339285364345415,-3.2880456196144223,-3.2453548224584665,-3.2059809927013703,-3.1694331059406977,-3.135271072096657,-3.1031984893925255,-3.0730210201145383,-3.0446241704848944,-3.0137539042843855,-2.9856456738634733},
+{-3.607006887003081,-3.9843537550659676,-3.962236348874285,-3.8510544337768806,-3.739550373298698,-3.63365589226305,-3.552473971285508,-3.497407055758231,-3.442625130970555,-3.3921127488065395,-3.343070326416637,-3.29705576266133,-3.254247133532772,-3.214769498576061,-3.178121157841815,-3.143863265438995,-3.111699670283997,-3.081438037879707,-3.0529632207835675,-3.02201035318285,-2.9938181523175444},
+{-3.6160736805177294,-3.9950389950099634,-3.97302943860268,-3.8615875737159513,-3.7497905068339605,-3.643604608849273,-3.562211955526436,-3.5069866167759756,-3.4520769092123373,-3.4014180934318574,-3.35223757395579,-3.3060909548730706,-3.2631642777996603,-3.2235825134412153,-3.1868333860766143,-3.152479288415634,-3.1202244139203685,-3.0898784328674083,-3.0613254537820467,-3.03028971672029,-3.0020133057332714},
+{-3.6251678793196334,-4.005755559155659,-3.983853657009604,-3.872150819897797,-3.760059617601655,-3.6535812793663354,-3.571977483574301,-3.5165929757858976,-3.461555304900685,-3.4107493995907134,-3.361430345234112,-3.315151263246662,-3.2721063276185305,-3.232420102067408,-3.195569854360656,-3.1611192057971493,-3.1287727842354798,-3.0983422706340207,-3.069710932140879,-3.0385920558401267,-3.010231200038106},
+{-3.6342895638299524,-4.016503537095559,-3.9947090877649316,-3.8827442495203286,-3.7703577819120255,-3.663585976937611,-3.5817706298912526,-3.526226206267893,-3.471060390038474,-3.4201067371614045,-3.3706487083109096,-3.324236756445316,-3.2810733533478924,-3.241282330614922,-3.2043306286941515,-3.1697830799384974,-3.137344849121291,-3.106829615899187,-3.0781197210308164,-3.0469174272730015,-3.0184718974269344},
+{-3.643438814957335,-4.027283017971058,-4.005595815699053,-3.893367941658653,-3.7806850763045077,-3.6736187743008486,-3.5915914649667684,-3.5358863794681383,-3.4805922337109223,-3.4294901771791046,-3.3798927314783214,-3.333347503117693,-3.2900654256882262,-3.250169265003933,-3.213115774495236,-3.1784709746571025,-3.1459406731810304,-3.115340537697193,-3.086551885440713,-3.0552658952510683,-3.0267354627503664},
+{-3.6526157137013797,-4.038094092047686,-4.016513924376341,-3.904021974893112,-3.791041576754651,-3.6836797465366544,-3.601440060934692,-3.5455735702853417,-3.490150907979114,-3.4388997902569827,-3.389162480722007,-3.3424835714467918,-3.2990826161185396,-3.2590809707908193,-3.2219253565272084,-3.1871829536758014,-3.1545603235426825,-3.1238750991760753,-3.095007489697309,-3.0636375170433894,-3.03502196057525},
+{-3.661820341130806,-4.048936848939775,-4.027463499249279,-3.9147064277021855,-3.8014273602057074,-3.6937689663027413,-3.611316491769685,-3.5552878513917676,-3.4997364838709473,-3.4483356481869123,-3.39845802544005,-3.3516450303141028,-3.3081249951719656,-3.2680175155983306,-3.230759440062684,-3.1959190816196497,-3.163203866890399,-3.1324333693628432,-3.103486599349708,-3.072032354430121,-3.0433314543261076},
+{-3.671052779071033,-4.059811378570885,-4.038444624573458,-3.9254213795538817,-3.8118425036118424,-3.7038865084177814,-3.6212208268625545,-3.565029295939894,-3.5093490323924925,-3.4577978208326385,-3.4077794330660254,-3.36083194702951,-3.317192634145613,-3.276978965353919,-3.239618091698503,-3.204679422924528,-3.1718713703085086,-3.1410154135810444,-3.1119892789356527,-3.08045046801999,-3.051664009959495},
+{-3.6803131084343477,-4.070717771854106,-4.049457385448477,-3.936166909039457,-3.8222870851604966,-3.7140324475622037,-3.6311531409883173,-3.5747979788429802,-3.518988626135979,-3.467286381390295,-3.417126772365009,-3.370044393770513,-3.326285605748126,-3.285965387811302,-3.248501377274806,-3.213464042652049,-3.1805629034060985,-3.1496212988568004,-3.1205155935604125,-3.088891920320748,-3.0600196934319683},
+{-3.689601411973854,-4.081656118934916,-4.060501867825224,-3.9469430960052705,-3.8327611813620024,-3.724206858263642,-3.6411135039743385,-3.5845939741193433,-3.5286553354235366,-3.4768014002620475,-3.4265001132080215,-3.379282437694201,-3.3354039793121046,-3.294976849319937,-3.2574093623334193,-3.2222730061548646,-3.1892785303643905,-3.1582510946682305,-3.129065607827215,-3.097356773178035,-3.068398568968405},
+{-3.698917771303968,-4.092626510995615,-4.071578156748728,-3.957750018525985,-3.843264868886763,-3.7344098148387275,-3.6511019891986507,-3.5944173560783383,-3.538349233858753,-3.4863429504766827,-3.4358995224174578,-3.388546147667512,-3.3445478280846146,-3.30401341583638,-3.266342113012797,-3.231106376806565,-3.198018321112613,-3.1669048650583136,-3.13763938970078,-3.1058450871205423,-3.0768007022343227},
+{-3.7082622689194977,-4.103629038938379,-4.082686338253552,-3.9685877575539052,-3.8537982273737725,-3.744641393182974,-3.661118669449934,-3.6042681998878834,-3.548070392032969,-3.4959111036368995,-3.4453250709120766,-3.397835594652861,-3.3537172219221247,-3.3130751576973125,-3.275299695233116,-3.2399642208838486,-3.2067823441466317,-3.1755826793742017,-3.1462370025983546,-3.114356927231711,-3.0852261617037584},
+{-3.7176349874789594,-4.114663794422086,-4.09382649932013,-3.979456392939028,-3.864361333886336,-3.754901667853119,-3.671163614402758,-3.6141465817272547,-3.557818883404252,-3.505505932836968,-3.4547768271513632,-3.4071508486304083,-3.3629122343845665,-3.322162142205343,-3.2842821765807457,-3.24884660589305,-3.215570669461158,-3.184284606060828,-3.15485851419362,-3.1228923554808716,-3.093675013151369},
+{-3.7270360095935757,-4.1257308687709155,-4.104998724520556,-3.990356003803754,-3.8749542674340773,-3.7651907157778624,-3.6812368983446504,-3.6240525755274575,-3.5675947787894984,-3.5151275108582922,-3.4642548616975546,-3.4164919792310684,-3.372132935335685,-3.331274436779495,-3.293289623405144,-3.257753597390547,-3.224383363245579,-3.193010711169336,-3.163503988987941,-3.131451434986957,-3.102147323945246},
+{-3.736465417998261,-4.136830353669211,-4.116203101748397,-4.001286671787966,-3.885577106892015,-3.775508611994155,-3.691338592856482,-3.633986259039375,-3.577398153283866,-3.5247759112899075,-3.473759245920519,-3.425859056529589,-3.3813793978915783,-3.3404121102939826,-3.302322101990285,-3.2666852614929667,-3.23322049628041,-3.2017610663097003,-3.1721734951643157,-3.1400342321794597,-3.1106431614243775},
+{-3.74592329654115,-4.147962341306993,-4.127439717725792,-4.01224847488993,-3.8962299288541544,-3.7858554330086918,-3.7014687685805256,-3.643947707329062,-3.587229077180382,-3.534451206032827,-3.483290048163326,-3.4352521520122536,-3.390651691777748,-3.3495752303570043,-3.3113796783218277,-3.2756416654156055,-3.242082136501267,-3.2105357372493017,-3.1808670971222455,-3.148640810046345,-3.1191625939754886},
+{-3.755409728433733,-4.159126924230804,-4.138708659476833,-4.023241496535775,-3.9069128154369537,-3.796231254011218,-3.7116275004009367,-3.6539369962411,-3.5970876239734935,-3.544153469854791,-3.4928473409672733,-3.4446713345096214,-3.399949891201686,-3.358763866533991,-3.3204624201753177,-3.2846228755734046,-3.250968356638623,-3.219334791858273,-3.18958486354677,-3.1572712341076112,-3.1277056899343734},
+{-3.7649247971239674,-4.170324195132707,-4.150010014102008,-4.03426581554595,-3.9176258440493257,-3.8066361535165925,-3.7218148577740067,-3.6639542039411026,-3.606973866299086,-3.5538827773780213,-3.5024311940796906,-3.4541166760755004,-3.4092740675623645,-3.3679780891470728,-3.3295703964904533,-3.2936289598510484,-3.259879225261102,-3.228158301586518,-3.1983268608455546,-3.165925571382104,-3.1362725183862494},
+{-3.774468586900184,-4.181554246108135,-4.161343869101984,-4.045321513003728,-3.928369095068774,-3.817070207456709,-3.73203091443429,-3.6739994068193482,-3.6168878768003196,-3.5636392017040635,-3.512041679030517,-3.463588248123415,-3.418624291472952,-3.377217965971795,-3.3387036702988553,-3.3026599866716424,-3.268814811715856,-3.2370063328489778,-3.2070931554117124,-3.174603884392127,-3.144863146037096},
+{-3.7840411818287976,-4.1928171709041635,-4.1727103128541785,-4.056408671527606,-3.9391426487854915,-3.827533493087685,-3.742275742806669,-3.6840726825757883,-3.62682972841867,-3.5734228187648114,-3.5216788681063917,-3.4730861227435526,-3.4280006370318006,-3.3864835682543344,-3.347862312424695,-3.311716023243207,-3.27777518700168,-3.245878957975947,-3.2158838158356957,-3.183306245082349,-3.1534776448024786},
+{-3.7936426662236045,-4.204113062598481,-4.1841094329392945,-4.067527370909374,-3.9499465834669536,-3.8380260876583634,-3.7525494131696178,-3.6941741073460435,-3.6367994956453913,-3.583233702403959,-3.5313428332301555,-3.4826103694795165,-3.437403175790678,-3.3957749660039553,-3.35704638925381,-3.3207971395240747,-3.2867604228958953,-3.2547762439062353,-3.2246989095147,-3.1920327182670007,-3.162116083803994},
+{-3.803273124485713,-4.215442014687142,-4.195541317840252,-4.07867769301447,-3.9607809811423067,-3.8485480683666538,-3.7628520012221998,-3.704303760910989,-3.646797249020892,-3.5930719288808177,-3.541033646077267,-3.4921610606397735,-3.446831979767012,-3.405092228393187,-3.366255968059704,-3.3299034019946703,-3.295770589240419,-3.2636982598196482,-3.23353850433341,-3.200783371241414,-3.1707785312028136},
+{-3.8129326421330916,-4.2268041214192635,-4.2070060563855805,-4.089859721119865,-3.971645921788877,-3.8590995146951173,-3.7731835758313537,-3.7144617196026957,-3.6568230635966756,-3.602937572468363,-3.550751378359564,-3.5017382698570145,-3.456287122280628,-3.414435426799173,-3.3754911191063,-3.339034882825217,-3.304805757565191,-3.272645077391644,-3.2424026691296604,-3.2095582737165387,-3.179465057932248},
+{-3.822621303566848,-4.238199476789305,-4.218503737483843,-4.1010735356285295,-3.9825414868391817,-3.8696805034123827,-3.7835442111245357,-3.7246480635440093,-3.6668770116957603,-3.6128307105900603,-3.560496102880279,-3.511342069366947,-3.46576867573458,-3.4238046330356156,-3.384751907622558,-3.348191649361979,-3.3138660004769918,-3.2816167642376968,-3.251291472413868,-3.2183574909504387,-3.1881757334340364},
+{-3.832339194166707,-4.249628174682584,-4.230034449810773,-4.112319219355413,-3.9934677571000066,-3.88029111380456,-3.7939339810909587,-3.734862869598146,-3.6769591670890804,-3.62275141968712,-3.5702678938396275,-3.5209725305830943,-3.4752767135432805,-3.433199916864396,-3.3940384050947614,-3.357373772691062,-3.3229513877013233,-3.2906133934666286,-3.260204981859715,-3.227181099180598,-3.196910627950274},
+{-3.8420863999162975,-4.261090310577856,-4.24159828289703,-4.123596853882191,-4.004424812810612,-3.890931424270093,-3.80435295625648,-3.745106217174907,-3.6870696031837724,-3.632699774832872,-3.5800668232914177,-3.530629727538326,-3.4848113076513982,-3.4426213512560935,-3.4033506768973893,-3.3665813222542056,-3.332061992448871,-3.299635033872619,-3.269143270175846,-3.2360291627046536,-3.205669811621192},
+{-3.851863006126223,-4.272585978913412,-4.253195326873538,-4.134906523278914,-4.015412737178849,-3.901601513491187,-3.8148012116289465,-3.755378185567679,-3.6972083932269015,-3.6426758541201707,-3.5898929640534334,-3.5403137326356955,-3.4943725318662473,-3.452069007085811,-3.4126887932943646,-3.3758143677550834,-3.341197886307782,-3.3086817548028193,-3.2781064027221873,-3.244901753743761,-3.214453352811688},
+{-3.8616690986746107,-4.284115274920623,-4.26482567081257,-4.146248309847579,-4.026431611411681,-3.912301461052266,-3.8252788178724586,-3.7656788536842214,-3.707375609767041,-3.652679734674166,-3.5997463880339637,-3.550024620068143,-3.5039604594858247,-3.461542956007179,-3.422052822978003,-3.3850729820187553,-3.350359142081288,-3.3177536274888553,-3.287094450512086,-3.2537989430857124,-3.223261324237683},
+{-3.8715047643127036,-4.295678294260142,-4.2764894053580065,-4.157622295893816,-4.037481518113054,-3.923031347170763,-3.8357858503513853,-3.7760083007160574,-3.7175713285105303,-3.66271149336535,-3.6096271720089135,-3.559762464275991,-3.513575163327914,-3.4710432713036425,-3.431442835222697,-3.3943572343996493,-3.3595458320414764,-3.326850722260133,-3.296107484762615,-3.2627208014164353,-3.2320937934491667},
+{-3.8813700889331813,-4.307275132283394,-4.288186620899069,-4.16902856562956,-4.048562539108389,-3.9337912511909963,-3.846322382429207,-3.78636660684424,-3.727795621918631,-3.6727712098072516,-3.619535388352233,-3.569527338935586,-3.523216717490868,-3.480570026251371,-3.440858900132298,-3.4036671988578746,-3.36875802805298,-3.3359731102755177,-3.3051455749373417,-3.2716674055409385,-3.2409508334385464},
+{-3.8912651597456716,-4.318905885633285,-4.299917407719477,-4.180467201702413,-4.059674757045286,-3.944581253315846,-3.8568884864944266,-3.796753851333051,-3.738048564417113,-3.682858960790327,-3.629471109750739,-3.5793193195495405,-3.5328851963640773,-3.49012329269317,-3.450301085758838,-3.413002945781045,-3.377995804483362,-3.3451208625047,-3.314208793497528,-3.280638823096524,-3.249832513211004},
+{-3.9011900634868653,-4.3305706506289425,-4.3116818572925695,-4.191938289612153,-4.07081825586647,-3.955401434097439,-3.8674842391119455,-3.807170114450855,-3.748330229645944,-3.692974825462443,-3.6394344113068655,-3.5891384819042287,-3.542580672976328,-3.4997031441162108,-3.459769462911936,-3.4223645466408925,-3.387259233786608,-3.35429404937895,-3.3232972094556317,-3.289635128916416,-3.258738901677134},
+{-3.911144887584669,-4.342269523229334,-4.323480060062138,-4.203441911649861,-4.081993117455568,-3.9662518736586208,-3.8781097119717742,-3.8176154763204977,-3.7586406910340884,-3.7031188816326903,-3.6494253676573862,-3.598984899246716,-3.55230322155694,-3.509309654153185,-3.469264102219313,-3.4317520752956625,-3.3965483897482045,-3.363492745134863,-3.3324108953238465,-3.298656397193554,-3.2676700714655453},
+{-3.9211297184047,-4.354002601121465,-4.335312108323706,-4.214978151911055,-4.093199426723004,-3.9771326535919798,-3.888764981638815,-3.828090017857903,-3.7689800248481333,-3.713291211068281,-3.659444053308107,-3.608858650739421,-3.562052916327957,-3.5189428957455675,-3.4787850732682273,-3.4411656062002294,-3.4058633470267523,-3.372717016231036,-3.34154992258118,-3.307702701262315,-3.2766260920616332},
+{-3.9311446446699847,-4.365769980693585,-4.3471780931868125,-4.22654709584458,-4.1044372667965945,-3.988043855140859,-3.89945012213866,-3.838593819149537,-3.7793483033019584,-3.7234918905523955,-3.669490543376014,-3.6187598113538115,-3.571829830550996,-3.528602943595615,-3.48833244627167,-3.4506052112265024,-3.415204177326814,-3.381966940527491,-3.350714363892621,-3.3167741161669255,-3.285607031881227},
+{-3.9411897537756886,-4.377571760294813,-4.359078106364905,-4.238148827418627,-4.115706720484013,-3.9989855602179887,-3.9101652085082605,-3.8491269609876326,-3.7897456032587797,-3.7337210007826798,-3.6795649112245883,-3.6286884577712044,-3.5816340405872324,-3.5382898697280325,-3.4979062917045667,-3.4600709624864976,-3.424570955830859,-3.391242584264546,-3.3599042909190757,-3.3258707161803613,-3.294612962330575},
+{-3.9512651341428864,-4.389408037022804,-4.371012240808341,-4.2497834315217915,-4.127007873968978,-4.009957850204955,-3.920910318825918,-3.8596895241644233,-3.800171996874269,-3.7439786208196892,-3.689667234371882,-3.63864466855739,-3.5914656201857724,-3.5480037508532405,-3.5075066824283567,-3.4695629367633956,-3.4339637578377733,-3.400544021897076,-3.3691197765801917,-3.334992576215882,-3.30364395257493},
+{-3.9613708736214903,-4.401278909343091,-4.382980588303326,-4.261450993923063,-4.138340810866794,-4.020960806949006,-3.931685524985369,-3.8702815916767577,-3.8106275612371974,-3.754264832001354,-3.6997975861886516,-3.648628521608771,-3.6013246458605863,-3.557744659454329,-3.517133688663307,-3.47908120827924,-3.443382657118491,-3.409871326504799,-3.378360895032529,-3.3441397727292497,-3.3127000723106903},
+{-3.9715070614147407,-4.413184475459275,-4.394983241611044,-4.273151599110861,-4.149705616146093,-4.03199451425462,-3.9424909074878087,-3.880903242235945,-3.8211123712171684,-3.7645797144723474,-3.7099560452843434,-3.658640095331066,-3.6112111889160587,-3.567512671907025,-3.5267873813500046,-3.488625851459801,-3.452827729364799,-3.4192245678495965,-3.387627717551368,-3.3533123798915767,-3.321781390273827},
+{-3.981673785503517,-4.425124834004237,-4.407020294387621,-4.284885333938291,-4.161102376012423,-4.043059053437901,-3.953326542265131,-3.891554559842916,-3.8316265024259337,-3.7749233480353723,-3.7201426861283835,-3.66867946821003,-3.6211253283690894,-3.5773078617130523,-3.536467833611823,-3.4981969419823145,-3.4622990473508253,-3.4286038226055098,-3.396920321712969,-3.3625104753737105,-3.3308879758842522},
+{-3.9918711356913263,-4.43710008389462,-4.419091839034081,-4.296652281824208,-4.172531173135212,-4.0541545094238245,-3.9641925054675085,-3.902235624867899,-3.8421700293110916,-3.785295813533594,-3.730357584434387,-3.678746721074276,-3.6310671368264593,-3.5871303037638427,-3.546175115654478,-3.507794555363944,-3.4717966882817564,-3.4380091609127703,-3.4062387776357355,-3.3717341338051483,-3.3400198974995874},
+{-4.00209920090856,-4.449110324505455,-4.431197969151981,-4.308452531106013,-4.183992095771828,-4.0652809630701086,-3.975088877021335,-3.9129465195001103,-3.8527430282338173,-3.795697192203079,-3.740600819372048,-3.68884193192207,-3.6410366912168683,-3.5969800719831255,-3.5559092999028508,-3.517418765797629,-3.4813207268016413,-3.44744065519626,-3.4155831613752525,-3.380983432791254,-3.3491772234119708},
+{-4.012358070533082,-4.461155655753828,-4.443338779368787,-4.320286168062012,-4.195485229181941,-4.076438500916993,-3.9860157321891165,-3.9236873278350686,-3.8633455761519144,-3.806127566334908,-3.750872465214343,-3.6989651836192934,-3.6510340674285544,-3.606857245620631,-3.5656704628345324,-3.5270696537627373,-3.490871240159322,-3.4568983817080152,-3.424953549299971,-3.390258448504028,-3.358360023761634},
+{-4.022647834710369,-4.473236176469072,-4.455514362489339,-4.332153277100588,-4.207010659549269,-4.087627205772151,-3.9969731529490673,-3.934458130141138,-3.8739777483642683,-3.8165870147931855,-3.761172602236911,-3.709116557096422,-3.661059340745851,-3.6167618952094926,-3.5754586707407725,-3.5367472917641862,-3.5004483023658395,-3.4663824112794828,-3.4343500136601506,-3.39955925510003,-3.3675683640831267},
+{-4.03296858327667,-4.485351988147158,-4.467724813763198,-4.344053947577777,-4.218568473050254,-4.09884716187662,-4.007961218434502,-3.945259010666632,-3.884639622090617,-3.827075620800315,-3.7715013062406797,-3.7192961332548293,-3.6711125881411135,-3.6266940994755714,-3.585274002303777,-3.5464517582804547,-3.510051989054773,-3.475892820926674,-3.443772633523622,-3.408885931581608,-3.376802315884561},
+{-4.043320406330167,-4.497503190148564,-4.479970227275771,-4.355988265066117,-4.2301587563197245,-4.110098453711544,-4.01898000647634,-3.9560900518044946,-3.89533127409959,-3.837593464551901,-3.7818586559442338,-3.7295039935197565,-3.6811938852406456,-3.63665393285919,-3.5951165277365362,-3.5561831326558604,-3.5196823786609457,-3.48542968230322,-3.453221482617664,-3.418238555350399,-3.3860619479892193},
+{-4.0537033944856375,-4.509689883503597,-4.492250697094278,-4.367956316185882,-4.24178159677831,-4.12138116609276,-4.030029600224225,-3.966951337213686,-3.90605278097064,-3.8481406288265134,-3.7922447299424675,-3.739740222139517,-3.6913033082382753,-3.646641471917974,-3.6049863222724525,-3.5659414898618707,-3.5293395470216637,-3.4949930702132406,-3.4626966377691133,-3.4276172013996984,-3.395347325800685},
+{-4.064117638685275,-4.521912169959251,-4.504566319996229,-4.379958190875186,-4.25343708179571,-4.1326953854368185,-4.0411100775090745,-3.9778429507059627,-3.91680422132049,-3.8587171947801835,-3.802659606706584,-3.750004900706699,-3.701440935539722,-3.6566567924819537,-3.6148834599152906,-3.5757269093810464,-3.5390235704471706,-3.5045830606177333,-3.472198175782978,-3.4370219444463146,-3.4046585220785346},
+{-4.074563229161868,-4.534170150127466,-4.516917190045206,-4.3919939747065655,-4.2651252989744535,-4.144041196756007,-4.052221522062609,-3.9887649763186346,-3.9275856718522846,-3.869323244514817,-3.8131033649187884,-3.760298114400939,-3.7116068433606415,-3.666699970548507,-3.6248080141231185,-3.5855394692043774,-3.548734526455519,-3.5141997281170916,-3.4817261741991388,-3.446452861899161,-3.4139956049257307},
+{-4.085040258029039,-4.546463925944408,-4.529303403185622,-4.404063756701362,-4.276846337066672,-4.155418686103076,-4.063364015928528,-3.999717498132668,-3.938397211721167,-3.8799588606561883,-3.8235760853713145,-3.770619946299121,-3.7218011083095917,-3.676771081831248,-3.6347600607623463,-3.595379247875826,-3.5584724917280255,-3.523843148977903,-3.491280710331921,-3.4559100314218085,-3.4233586438786006},
+{-4.095548815686925,-4.5587935991279664,-4.541725054568815,-4.416167624462105,-4.288600281302934,-4.166827939297946,-4.074537640372,-4.010700599515985,-3.9492389187144,-3.8906241246513673,-3.8340778464480536,-3.7809704807732487,-3.732023808734084,-3.6868702041829238,-3.644739673953154,-3.605246325234475,-3.5682375433680136,-3.5335133974731434,-3.5008618619467597,-3.465393526661501,-3.4327477112819906},
+{-4.106088995049504,-4.571159272480145,-4.554182241328817,-4.428305667199311,-4.300387222923746,-4.178269042626198,-4.085742480805493,-4.0217143669651705,-3.9601108705755905,-3.9013191188132623,-3.8446087293268647,-3.7913498034176882,-3.7422750220284797,-3.6969974139719852,-3.6547469289871515,-3.615140777998022,-3.578029759679339,-3.543210551099037,-3.5104697079368634,-3.474903424466902,-3.4421628763739136},
+{-4.116660887018952,-4.5835610483336495,-4.566675059380941,-4.4404779738906655,-4.3122072500991635,-4.189742083974124,-4.096978617133573,-4.032758884663053,-3.971013147762278,-3.912043926298793,-3.8551688133302378,-3.8017579990337254,-3.75255482695502,-3.7071527881198563,-3.664781903127732,-3.625062688588514,-3.587849217619805,-3.5529346865805564,-3.5201043247361667,-3.4844398007553536,-3.451604213230894},
+{-4.127264584454679,-4.595999029810628,-4.579203604698705,-4.452684632618912,-4.324060451843252,-4.201247150725976,-4.108246137322567,-4.043834238604177,-3.981945829029428,-3.9227986286132364,-3.86575818030542,-3.8121951533539686,-3.762863300893514,-3.7173364032496465,-3.674844670582388,-3.635012134698627,-3.5976959945910494,-3.5626858778414316,-3.529765793005936,-3.494002728490159,-3.461071792546136},
+{-4.1379001792374766,-4.60847331979312,-4.591767975347466,-4.464925733554992,-4.335946917402907,-4.2127843296620995,-4.119545123983698,-4.05494051407004,-3.992908993852325,-3.933583308797097,-3.8763769122306257,-3.8226613531296607,-3.773200522722618,-3.727548336799373,-3.6849353096986306,-3.6449891979209497,-3.6075701695808675,-3.5724642065979424,-3.5394541929126717,-3.5035922870665672,-3.4705656899386668},
+{-4.148567764153995,-4.620984022065386,-4.6043682678027835,-4.477201365763904,-4.347866734904528,-4.22435370907624,-4.130875662260223,-4.066077796866011,-4.003902722390194,-3.9443980490395916,-3.887025088930386,-3.833156683984271,-3.7835665709280875,-3.7377886654794565,-3.695053895273304,-3.6549939579199417,-3.6174718198235496,-3.5822697465555393,-3.549169601959875,-3.5132085501536494,-3.4800859796014265},
+{-4.159267432427441,-4.633531240688171,-4.617004579864442,-4.489511619794939,-4.3598199961707,-4.235955376396305,-4.1422378403221956,-4.077246174150787,-4.014927094685845,-3.9552429334216868,-3.8977027935834485,-3.8436812333820853,-3.79396152577101,-3.7480574683868326,-3.7052005052901222,-3.665026494541962,-3.6274010248162085,-3.5921025773714064,-3.5589121016382705,-3.5228515929120476,-3.489632737771899},
+{-4.169999277084571,-4.646115079151059,-4.629677008306317,-4.501856584523921,-4.37180678974255,-4.247589420694567,-4.153631739987759,-4.088445731875254,-4.0259821915242355,-3.9661180434632115,-3.908410107360396,-3.854235087230336,-3.8043854647985427,-3.7583548217298812,-3.7153752187732607,-3.675086888251826,-3.6373578621423803,-3.60196277758223,-3.5686817706446163,-3.5325214926342596,-3.4992060397853493},
+{-4.180763391079381,-4.658735642959073,-4.642385651848599,-4.514236351344152,-4.383827208075672,-4.259255931858206,-4.165057452773908,-4.099676558456849,-4.037068095291033,-3.9770234633397195,-3.9191471142403316,-3.8648183344630525,-3.814838469515962,-3.768680803499592,-3.725578112229414,-3.6851752233487787,-3.6473424117502873,-3.6118504245605436,-3.5784786909862305,-3.5422183229238726,-3.5088059673071257},
+{-4.191559868708282,-4.6713930357545905,-4.655130608465697,-4.52665101018647,-4.395881339842163,-4.270954997169611,-4.176515062259568,-4.110938740137499,-4.048184885366936,-3.987959275538742,-3.9299138975693495,-3.87543106279918,-3.825320617223042,-3.7790354915487114,-3.7358092644717544,-3.6952915769870742,-3.657354749375372,-3.6217655995860696,-3.5883029432297917,-3.551942162499472,-3.5184325959562557},
+{-4.202388803136273,-4.684087363239087,-4.6679119762229675,-4.539100652233174,-4.40796927606425,-4.282686707221728,-4.18800465798995,-4.122232364912634,-4.05933264514897,-3.9989255631662672,-3.9407105381178553,-3.8860733587134746,-3.8358319891485735,-3.7894189639846445,-3.7460687533093733,-3.7054360324764275,-3.6673949564938084,-3.6317083777539665,-3.5981546083494322,-3.5616930845862953,-3.528086007798265},
+{-4.213250289296411,-4.696818730739324,-4.680729854288074,-4.551585368491942,-4.420091109532223,-4.294451151705289,-4.199526328869979,-4.133557521010516,-4.0705114552765735,-4.009922409735736,-3.9515371209490695,-3.8967453121294966,-3.8463726668269373,-3.7998313001953647,-3.7563566590470145,-3.7156086722025066,-3.6774631128719193,-3.6416788428250584,-3.6080337672901805,-3.571471167022537,-3.5377662824103027},
+{-4.22414442068839,-4.709587243825808,-4.693584341752285,-4.5641052510545705,-4.432246930227848,-4.30624842022371,-4.211080160377605,-4.144914297787182,-4.08172139985254,-4.020949899815605,-3.962393728819734,-3.9074470111518167,-3.8569427301627,-3.8102725771314,-3.7666730621931492,-3.7258095778379356,-3.687559296435211,-3.6516770747693954,-3.617940500662371,-3.5812764866423095,-3.547473500810156},
+{-4.235071292714565,-4.722393008905783,-4.706475537223014,-4.576660390215693,-4.444436830468476,-4.318078604526818,-4.222666245092114,-4.1563027835290995,-4.092962560593151,-4.032008115689678,-3.9732804470841074,-3.9181785452965414,-3.8675422593805706,-3.8207428738096496,-3.77701804053504,-3.7360388323650113,-3.6976835871173535,-3.6617031503046746,-3.6278748912154697,-3.591109118424356,-3.5572077447286574},
+{-4.246030999795039,-4.73523613197176,-4.719403540890198,-4.589250879638712,-4.4566609033354325,-4.329941794065235,-4.234284671023488,-4.16772306815983,-4.104235022430657,-4.043097142326587,-3.9841973595539457,-3.9289400025372743,-3.8781713358985144,-3.831242269727227,-3.7873916776225087,-3.7462965171944234,-3.707836064611911,-3.67175715661142,-3.6378370230158907,-3.6009691408398794,-3.5669690969225485},
+{-4.257023636975646,-4.748116719827522,-4.732368451768707,-4.6018768097346765,-4.468919238548551,-4.341838081221795,-4.245935527687834,-4.179175240416953,-4.115538867292344,-4.0542170629050815,-3.995144548920507,-3.9397314721063594,-3.8888300412509125,-3.8417708428460173,-3.7977940507917083,-3.7565827157595777,-3.7180168088088976,-3.681839169963496,-3.647826974040072,-3.610856631225033,-3.5767576366706635},
+{-4.268049300160783,-4.761034879535146,-4.745370370328601,-4.614538274916413,-4.48121193121915,-4.353767555207014,-4.257618907220603,-4.190659390325891,-4.126874180190498,-4.065367961578886,-4.006122100683569,-3.9505530433743843,-3.8995184570594574,-3.8523286724011996,-3.8082252416934352,-3.766897510497074,-3.728225900544203,-3.6919492725501186,-3.6578448283471516,-3.620771665191569,-3.5865734468243318},
+{-4.279108084076142,-4.773990718167624,-4.758409397247306,-4.6272353661988745,-4.493539073053398,-4.3657303106665495,-4.2693348974280525,-4.202175610764243,-4.138241045322502,-4.076549923578568,-4.017130099789938,-3.961404807654617,-3.9102366663355497,-3.862915839512425,-3.818685335376358,-3.7772409858516767,-3.7384634203335736,-3.7020875484668068,-3.6678906685410766,-3.6307143265221384,-3.596416609696462},
+{-4.290200085561082,-4.786984342841606,-4.771485631841642,-4.639968177434639,-4.505900758289499,-4.377726437895035,-4.281083592301002,-4.213723990171275,-4.1496395477443,-4.087763032766816,-4.028168630364235,-3.9722868531316635,-3.9209847501770128,-3.8735324200533796,-3.8291744084417587,-3.7876132238379796,-3.748729447746882,-3.7122540780328563,-3.6779645763890585,-3.640684685771703,-3.6062872011680156},
+{-4.301325400138012,-4.800015862532746,-4.784599176236952,-4.652736802308937,-4.518297078931937,-4.389756029893761,-4.292865083152719,-4.225304620544193,-4.161069772941119,-4.099007374315988,-4.039237778393726,-3.983199270609475,-3.931762791093206,-3.8841784965770785,-3.8396925487031695,-3.79801430941734,-3.7590240631761844,-3.7224489470245317,-3.6880666356591973,-3.650682827188575,-3.6161853085213806},
+{-4.312484124169714,-4.813085385125305,-4.797750131023349,-4.665541333597503,-4.530728129488125,-4.4018191802097135,-4.304679460365151,-4.2369175943531445,-4.172531808180793,-4.110283033274754,-4.050337629625574,-3.9941421495896066,-3.9425708744238364,-3.8948541497811675,-3.850239836370747,-3.808444328518817,-3.769347350935277,-3.7326722368088667,-3.6981969283806393,-3.6607088298915187,-3.6261110134219052},
+{-4.323676354444615,-4.826193018900085,-4.810938596820051,-4.678381865516712,-4.543194003832468,-4.41391597972688,-4.316526818918646,-4.248563003362506,-4.184025736612966,-4.121590093986015,-4.061468268759199,-4.0051155815745005,-3.9534090800589183,-3.9055594576566364,-3.8608163543394767,-3.8189033624512376,-3.7796993895608466,-3.742924031059374,-3.708355537557509,-3.670762772911985,-3.636064393504057},
+{-4.334902188158594,-4.839338872316148,-4.824164676676446,-4.691258492799534,-4.555694795955787,-4.4260465234547155,-4.328407248518488,-4.26024094006425,-4.195551647033426,-4.132928643251944,-4.072629781752767,-4.016119655505463,-3.964277494371345,-3.916294502087112,-3.8714221887858002,-3.8293914965033764,-3.7900802622025367,-3.7532044156760094,-3.7185425470161135,-3.680844738635642,-3.6460455372944125},
+{-4.346161721630779,-4.852523055458732,-4.837428471058956,-4.7041713089784025,-4.568230601696996,-4.4382109057260095,-4.340320844385133,-4.271951498143608,-4.207109625385783,-4.144298765546409,-4.083822254135157,-4.027154463110492,-3.9751762002706528,-3.9270593635519617,-3.8820574207638856,-3.8399088172300253,-3.8004900508385617,-3.7635134721640497,-3.7287580369156785,-3.690954802768829,-3.656054524544743},
+{-4.357455052813748,-4.865745677485393,-4.850730082995142,-4.717120409295603,-4.580801514959603,-4.450409219200083,-4.352267699810909,-4.283694770289003,-4.218699760145682,-4.155700548901223,-4.095045775233302,-4.038220094225835,-3.9861052824926446,-3.9378541219848557,-3.892722138640238,-3.8504554081955575,-3.8109288368432317,-3.7738512892465224,-3.7390020952298073,-3.701093054303783,-3.666091447470535},
+{-4.368782279092557,-4.879006847928395,-4.8640696144721005,-4.730105888462276,-4.593407629901776,-4.462641559090116,-4.364247908335528,-4.295470850389393,-4.230322139490454,-4.1671340774337295,-4.106300430074043,-4.049316640441248,-3.997064826085989,-3.9486788609356154,-3.903416424327588,-3.861031356427702,-3.821396706669475,-3.7842179513536394,-3.749274804365996,-3.7112595696453354,-3.676156388777599},
+{-4.3801434984998195,-4.89230667708398,-4.877447168415529,-4.743127842382819,-4.606049043315579,-4.474908019677969,-4.376261565470486,-4.307279834458313,-4.24197684986575,-4.178599437895173,-4.1175863048410974,-4.060444191512943,-4.00805491504434,-3.9595336586862686,-3.9141403648245614,-3.871636745381693,-3.831893738672079,-3.794613541729632,-3.759576244832715,-3.721454432052269,-3.686249437821971},
+{-4.391538809068152,-4.9056452755176,-4.890862847365497,-4.75618636674335,-4.618725851054478,-4.487208695863956,-4.388308762339875,-4.319121814922255,-4.253663981384307,-4.190096718855784,-4.128903487660864,-4.071602838383114,-4.019075634925684,-3.9704185987866367,-3.9248940463221516,-3.8822716617723927,-3.842420017506811,-3.805038150305336,-3.7699065015403903,-3.731677724434121,-3.6963706837632344},
+{-4.402968309306743,-4.919022753503668,-4.904316755040782,-4.7692815562477335,-4.631438148622692,-4.499543684447417,-4.400389597649337,-4.330996887903893,-4.265383622689114,-4.201626005407888,-4.140252067329129,-4.082792673063523,-4.030127072306641,-3.981333762247232,-3.9356775527776335,-3.8929361902482924,-3.8529756277639535,-3.8154918596264906,-3.7802656574058346,-3.74192952629528,-3.706520218780497},
+{-4.414432097615645,-4.932439222884568,-4.917808994810912,-4.782413508488389,-4.644186031800928,-4.5119130797320395,-4.412504165869905,-4.342905149751459,-4.277135863725562,-4.213187386267236,-4.151632132015948,-4.094013786256255,-4.041209312439605,-3.992279231810244,-3.9464909756425186,-3.9036304191613453,-3.863560652913293,-3.8259747604679433,-3.7906537995077088,-3.7522099262059783,-3.7166981356203905},
+{-4.425930272991536,-4.9458947942948726,-4.931339670001762,-4.795582318714878,-4.656969597388525,-4.524316978466231,-4.424652560286631,-4.3548466946595,-4.288920794264413,-4.224780948701664,-4.163043769047363,-4.105266267804836,-4.052322442432342,-4.00325509061804,-3.957334397091472,-3.9143544348262367,-3.8741751788766123,-3.8364869378856383,-3.8010710084199673,-3.7625190028120414,-3.7269045236316742},
+{-4.437462934805808,-4.959389579704293,-4.944908884986944,-4.808788085123524,-4.669788942919695,-4.536755476605322,-4.436834880580136,-4.36682162143552,-4.300738504345645,-4.2364067809976405,-4.174487067684822,-4.116550212260336,-4.063466550171142,-4.0142614195356146,-3.968207907550095,-3.925108321964217,-3.8848192888399353,-3.8470284789145808,-3.8115173697151477,-3.7728568403763347,-3.737139478289464},
+{-4.449030182364368,-4.972923691228061,-4.958516744307417,-4.822030903909763,-4.682644164393423,-4.549228670439334,-4.44905121964257,-4.378830024790659,-4.312589085660875,-4.2480649706412805,-4.185962118070165,-4.1278657062212005,-4.074641720500949,-4.025298304775788,-3.9791115958141745,-3.9358921680177446,-3.895493069991062,-3.857599475493771,-3.8219929676124593,-3.7832235250170925,-3.747403090877924},
+{-4.460632114751206,-4.9864972416144155,-4.972163352118514,-4.83531087305164,-4.695535361221118,-4.561736659190501,-4.461301677300071,-4.3908720038234605,-4.324472629006777,-4.259755609498825,-4.197469009362976,-4.139212846734154,-4.0858480441820575,-4.036365826577821,-3.990045549297065,-3.9467060643437435,-3.906196606316371,-3.8682000126718776,-3.8324978858727263,-3.7936191373082693,-3.7576954572214163},
+{-4.472268832621921,-5.000110342338303,-4.985848813230405,-4.848628089654085,-4.708462628841517,-4.574279537824623,-4.473586347339733,-4.402947654903983,-4.33638922512182,-4.271478782648046,-4.20900783372781,-4.1505917208342,-4.097085604291351,-4.0474640676766285,-4.001009855986922,-3.95755009016284,-3.9169299834466074,-3.8788301799359033,-3.8430322081476334,-3.804043761883804,-3.768016664267634},
+{-4.483940435926343,-5.013763107581326,-4.999573233239062,-4.861982651702419,-4.72142606601119,-4.586857406080526,-4.485905329856905,-4.415057075115328,-4.348338967429299,-4.283234580463613,-4.220578678025049,-4.162002421981015,-4.108354491865612,-4.058593114517862,-4.01200460542168,-3.968424338643672,-3.9276932895882055,-3.8894900655577658,-3.8535960221342975,-3.8144974832903245,-3.7783668086485704},
+{-4.4956470250144775,-5.027455649633339,-5.013336716932827,-4.875374658222427,-4.734425771952374,-4.599470360612031,-4.498258721650927,-4.427200364225428,-4.3603219470824115,-4.295023093101918,-4.232181634717563,-4.173445042113599,-4.119654796370014,-4.069753050469444,-4.023029886790027,-3.979328896239167,-3.9384866095060715,-3.9001797585369786,-3.8641894094762392,-3.8249803867656738,-3.788745976948121},
+{-4.507388700563752,-5.041188082501321,-5.027139370176883,-4.888804208007059,-4.747461843951896,-4.612118499877397,-4.510646619855834,-4.43937762164569,-4.3723382573371055,-4.306844410479243,-4.2438167944710585,-4.184919672268734,-4.130986605618091,-4.080943960427248,-4.0340857918636175,-3.990263849213079,-3.9493100343534024,-3.9108993497502524,-3.8748124567064224,-3.835492557955149,-3.7991542633535573},
+{-4.519165563859133,-5.054960520206805,-5.040981298821862,-4.902271398590528,-4.76053438217059,-4.624801924437634,-4.523069123912137,-4.451588943535171,-4.384387990874529,-4.318698622271768,-4.255484249923029,-4.196426406415412,-4.14235000579356,-4.092165927671886,-4.045172408710641,-4.001229286339367,-3.9601636466177297,-3.921648926108901,-3.885465245868545,-3.8460340761957923,-3.80959175460157},
+{-4.530977715447079,-5.068773076909565,-5.054862609584234,-4.915776331930829,-4.773643485539651,-4.637520732205303,-4.535526333143935,-4.463834433568991,-4.396471242420375,-4.330585819436237,-4.267184091819217,-4.207965336056077,-4.153745091338351,-4.103419038263382,-4.05628983254428,-4.012225297170517,-3.9710475383981247,-3.9324285840266384,-3.89614787055325,-3.8566050304216333,-3.8200585389713524},
+{-4.542825257482036,-5.082625866860326,-5.068783408511081,-4.9293191049437155,-4.786789252095332,-4.650275022962887,-4.548018345412856,-4.476114187455096,-4.408588104306546,-4.342506092405529,-4.278916412135004,-4.219536551820056,-4.165171947694034,-4.114703378028935,-4.067438148602378,-4.023251968465047,-3.981961798177508,-3.943238405852753,-3.9068604075800977,-3.867205502872821,-3.830554709325952},
+{-4.554708291478164,-5.096519005252048,-5.082743802398909,-4.942899819587183,-4.799971782857028,-4.663064895539719,-4.56054526042135,-4.488428306947753,-4.420738670312858,-4.354459531590692,-4.290681301521545,-4.231140146948746,-4.176630664303957,-4.126019030067255,-4.0786174480454065,-4.034309386712266,-3.9929065111791715,-3.954078482958721,-3.9176029458176345,-3.8778355759131955,-3.8410803444348858},
+{-4.566626919011469,-5.110452607088519,-5.096743898560817,-4.956518575454538,-4.81319117849489,-4.67589045096247,-4.573107177195197,-4.500776892644353,-4.432923037893488,-4.366446229440044,-4.302478854660876,-4.242776216073253,-4.188121334758762,-4.1373660841200035,-4.089827828785928,-4.045397643531032,-4.003881769385771,-3.9649489096773323,-3.9283755698415916,-3.8884953414963093,-3.8516355368410586},
+{-4.578581242993096,-5.124426787777338,-5.11078380348772,-4.970175472575647,-4.826447539031506,-4.68875179119641,-4.585704196964798,-4.513160043890821,-4.445141298310773,-4.378466275986284,-4.314309163433791,-4.254444849997526,-4.1996440447474015,-4.148744624289975,-4.1010693749267375,-4.05651682640746,-4.0148876627281425,-3.9758497724760673,-3.939178368236753,-3.89918487380055,-3.862220370239811},
+{-4.590571365453798,-5.13844166319177,-5.124863625977014,-4.983870612872124,-4.839740964205703,-4.70164901487442,-4.598336420465785,-4.525577862295904,-4.457393548560503,-4.390519764565397,-4.3261723210525815,-4.266146142515936,-4.211198887285718,-4.160154737532139,-4.112342183878354,-4.067667022289243,-4.025924279514584,-3.986781164268905,-3.95001142664114,-3.9099042628513416,-3.8728349318771507},
+{-4.602597389202856,-5.152497349441546,-5.138983472948894,-4.99760409747978,-4.853071556055511,-4.714582225555205,-4.611003947589779,-4.538030449752114,-4.469679884787183,-4.402606785544776,-4.338068421886419,-4.277880185552931,-4.222785954625579,-4.171596512802353,-4.123646347252361,-4.078848325414583,-4.036991714507167,-3.9977431738952873,-3.9608748305836343,-3.9206535916091525,-3.8834793104688288},
+{-4.614659417300572,-5.166593962756451,-5.153143452604127,-5.011376027847291,-4.866439415309287,-4.727551522511931,-4.623706879894598,-4.550517906718596,-4.482000401025289,-4.414727431918436,-4.349997557001188,-4.289647074627283,-4.234405333416362,-4.183070036684512,-4.13498195570719,-4.0900608207521145,-4.048090055432112,-4.008735894938582,-3.9717686666117515,-3.9314329442640883,-3.8941535863268655},
+{-4.626757553702191,-5.180731620203005,-5.167343674496806,-5.02518650690763,-4.879844644339755,-4.740557009310578,-4.636445318581536,-4.563040334993275,-4.49435519506369,-4.426881798099203,-4.361959822046629,-4.301446900914016,-4.246057117867167,-4.1945753958571,-4.146349105249101,-4.101304599069408,-4.059219394388492,-4.019759416609304,-3.98269302323024,-3.9422424081494682,-3.904857850364351},
+{-4.638891901042371,-5.194910438702209,-5.1815842462092405,-5.039035635913024,-4.893287345803401,-4.753598788498493,-4.64921936544124,-4.575597836752422,-4.506744362450263,-4.439069973399455,-4.3739553090927075,-4.313279759859142,-4.257741396300844,-4.206112680381921,-4.157747885925346,-4.11257975071203,-4.0703798253816785,-4.030813829151157,-3.9936479835159844,-3.95308205717447,-3.9155921817582566},
+{-4.651062563658343,-5.20913053509139,-5.195865276728,-5.052923518240277,-4.906767620217579,-4.7666769620918785,-4.66202912251174,-4.588190514099551,-4.519167999576894,-4.451292052937788,-4.385984115884639,-4.325145743561734,-4.269458262817352,-4.217681978967448,-4.169178394309711,-4.12388636553078,-4.081571438291576,-4.041899224765075,-4.00463363918243,-3.9639519853299134,-3.9263566698282375},
+{-4.663269645214314,-5.2233920274084085,-5.210186875665386,-5.066850255905592,-4.9202855705225375,-4.77979163305281,-4.6748746930170455,-4.600818468803482,-4.531626205323846,-4.463548129788251,-4.398046334026731,-4.337044948457333,-4.281207808809995,-4.229283381624555,-4.1806407242766,-4.135224534271401,-4.092794332224003,-4.053015698715171,-4.0156500772354775,-3.9748522727459203,-3.9371513967125793},
+{-4.675513250862423,-5.237695033967611,-5.224549152211694,-5.080815954337595,-4.933841300771746,-4.792942905754899,-4.687756179366261,-4.61348180341156,-4.544119074867922,-4.475838296537404,-4.410142060078215,-4.348977465298958,-4.292990123627533,-4.240916975439177,-4.192134967277525,-4.146594345533231,-4.104048589404556,-4.064163334405748,-4.02669738138502,-3.985783001357049,-3.9479764500865713},
+{-4.687793484470603,-5.252039672537649,-5.2389522167504765,-5.094820716403774,-4.947434913709003,-4.806130882418074,-4.700673683670175,-4.626180621904496,-4.556646706550964,-4.488162647423451,-4.422271386581997,-4.3609433906312915,-4.304805301624583,-4.252582854838693,-4.203661220279173,-4.157995893307088,-4.115334314701613,-4.075342229181842,-4.037775643155328,-3.9967442563574878,-3.9588319116446655},
+{-4.700110451143701,-5.266426061392849,-5.25339617922873,-5.10886464631767,-4.9610665135332965,-4.819355669606011,-4.713627310862648,-4.638915025701863,-4.5692091986275045,-4.500521277775988,-4.4344344100609305,-4.372942817564763,-4.316653434012551,-4.264281105068221,-4.215219577439711,-4.169429264169594,-4.126651595906878,-4.086552471853793,-4.048884944917518,-4.007736116131127,-3.9697178628412075},
+{-4.712464256277599,-5.280854319960781,-5.267881149855384,-5.122947848023614,-4.974736202828353,-4.832617370157095,-4.726617163942137,-4.6516851184060215,-4.581806649628561,-4.512914278951939,-4.446631227889156,-4.3849758430878865,-4.328534612817748,-4.276011820125859,-4.226810132684477,-4.180894556215208,-4.13800053291925,-4.097794158937177,-4.060025381353626,-4.018758671452815,-3.9806343889940763},
+{-4.724855005122663,-5.295324567639909,-5.282407239174063,-5.13707042777969,-4.988444086404343,-4.845916089958337,-4.739643345725199,-4.66449100158934,-4.594439156840963,-4.5253417467320105,-4.45886193348997,-4.3970425577426795,-4.340448929215199,-4.287775091288495,-4.2384329831184,-4.192391854187008,-4.149381215116591,-4.109067374054575,-4.071197032164491,-4.029812000444508,-3.9915815721906256},
+{-4.737282803253038,-5.309836923370312,-5.296974558783404,-5.151232490396069,-5.002190269595303,-4.8592519336234545,-4.7527059637141065,-4.677332781793666,-4.607106819588807,-4.537803775448992,-4.471126623509917,-4.409143060343922,-4.352396479880554,-4.299571011637454,-4.250088223074272,-4.2039212534582475,-4.160793745089904,-4.120372214194504,-4.0823999931890285,-4.04089618971193,-4.002559490909334},
+{-4.749747757297882,-5.324391507310793,-5.311583218921442,-5.165434141177684,-5.015974856243702,-4.872625005111331,-4.765805118782737,-4.69021055950725,-4.61980973691243,-4.5503004609490745,-4.4834253957960755,-4.421277444394946,-4.3643773522853735,-4.311399672093103,-4.261775949889852,-4.215482846222585,-4.1722382122898125,-4.131708771776175,-4.093634347082116,-4.052011318111909,-4.013568227033829},
+{-4.762249972325662,-5.3389884396056,-5.326233331950789,-5.179675487204804,-5.029797953902744,-4.886035414907383,-4.778940918855369,-4.70312444044248,-4.632548009161837,-4.562831898751028,-4.495758345430659,-4.433445806440432,-4.376391644480464,-4.323261166617158,-4.273496258880186,-4.227076726885571,-4.183714717255498,-4.143077138913213,-4.104900185186125,-4.063157475065964,-4.02460785923904},
+{-4.7747895558677556,-5.353627840195259,-5.34092500909901,-5.193956634029746,-5.043659665083396,-4.899483265435265,-4.79211346644297,-4.7160745255459915,-4.645321732823504,-4.575398181375931,-4.508125571141136,-4.445648241104209,-4.388439445399854,-4.335155585598841,-4.285249246044259,-4.238702984875999,-4.1952233560950845,-4.154477406817023,-4.116197595249105,-4.07433473807032,-4.035678470732819},
+{-4.787366614011262,-5.368309829984355,-5.35565836270689,-5.2082776885072235,-5.057560097280657,-4.9129686648302595,-4.805322869193333,-4.729060919649783,-4.658131011376099,-4.5879994060233,-4.520527169712295,-4.457884843708598,-4.400520851377223,-4.347083026936161,-4.297035006689839,-4.250361717335181,-4.206764226524683,-4.165909666175139,-4.127526665972255,-4.085543195462378,-4.046780135024164},
+{-4.799981254305749,-5.383034529942961,-5.370433504438552,-5.222638759252732,-5.071499356985441,-4.926491720165359,-4.818569231989386,-4.7420837265235605,-4.67097594273946,-4.6006356696088915,-4.5329632387074525,-4.470155710798281,-4.412635952961864,-4.35904358150583,-4.308853641072346,-4.262053016696882,-4.218337427075312,-4.177374013095687,-4.1388874857802875,-4.096782927525055,-4.057912932890758},
+{-4.812633583955176,-5.3978020615941205,-5.38525054857746,-5.23703995244432,-5.085477550463111,-4.940052536709118,-4.831852661074663,-4.75514304972603,-4.683856628536887,-4.6133070665746345,-4.545433876526658,-4.48246093941998,-4.4247848471059115,-4.371037347606034,-4.32070524484152,-4.27377697625343,-4.229943054429896,-4.188870537858747,-4.150280146255682,-4.108054024305602,-4.069076943662367},
+{-4.825323710378143,-5.412612546424498,-5.400109606045589,-5.2514813769375905,-5.099494785317802,-4.953651226700458,-4.845173261586751,-4.768238992350234,-4.696773167721403,-4.626013695058646,-4.557939181904658,-4.494800625565404,-4.436967625209945,-4.383064417117566,-4.332589915866265,-4.285533693240723,-4.241581205184048,-4.200399335859402,-4.1617047304680455,-4.119356565846829,-4.080272242499632},
+{-4.838051741513482,-5.427466106746579,-5.4150107915265835,-5.265963141711836,-5.113551168426056,-4.96728789491317,-4.858531142337597,-4.781371659519209,-4.709725664280995,-4.638755649750237,-4.5704792569740675,-4.507174865619163,-4.449184380864608,-4.395124888600549,-4.344507752517529,-4.297323262340797,-4.253251981615904,-4.211960499029374,-4.17316133602435,-4.130690641737601,-4.091498906956986},
+{-4.850817785714753,-5.44236286382511,-5.429954217783234,-5.28048535400012,-5.127646806147823,-4.9809626506394125,-4.871926406143757,-4.794541151924932,-4.722714216775785,-4.651533027870755,-4.583054196278681,-4.519583757370128,-4.461435209203046,-4.407218856293184,-4.356458850234048,-4.3091457754562725,-4.264955479222408,-4.223554119897017,-4.184650044349837,-4.142056331853382,-4.1027570166261285},
+{-4.863621951139066,-5.457302940827503,-5.4449399983132025,-5.2950481249863515,-5.141781808481028,-4.9946756015051506,-4.885359164378315,-4.807747574101086,-4.735738927571219,-4.664345927871182,-4.595664103428135,-4.532027395885962,-4.473720203211997,-4.419346416994813,-4.368443308143469,-4.3210013316056575,-4.276691800034314,-4.235180292002042,-4.196170951858221,-4.153453724517021,-4.114046645190683},
+{-4.876464346340072,-5.472286460790201,-5.459968248353107,-5.309651563358784,-5.15595628459414,-5.008426859159954,-4.898829520614527,-4.820991031410813,-4.748799900546146,-4.677194446856447,-4.608309079332685,-4.544505882608064,-4.486039459443418,-4.431507670182327,-4.380461228152853,-4.3328900288033765,-4.288461041673145,-4.246839108520362,-4.207724145853717,-4.16488291179121,-4.125367875727534},
+{-4.889345080413477,-5.487313545971119,-5.475039080352872,-5.324295779122622,-5.170170340978075,-5.022216531106096,-4.912337584391935,-4.834271624720714,-4.761897235563083,-4.690078682622698,-4.620989222603384,-4.557019312524062,-4.49839306902868,-4.443702711752849,-4.392512704573164,-4.344811960560037,-4.300263302931853,-4.258530665378203,-4.219309718391742,-4.176343977844226,-4.136720783812052},
+{-4.902264262731478,-5.5023843203453,-5.4901526104149525,-5.338980884065677,-5.1844240872815135,-5.036044727057742,-4.925883462346974,-4.847589458047878,-4.775031036391738,-4.702998733642744,-4.633704637097253,-4.569567782760714,-4.510781128054077,-4.455931639568007,-4.404597838780319,-4.356767224562645,-4.312098684349621,-4.270255055489542,-4.230927755474113,-4.1878370066406205,-4.148105443404347},
+{-4.915222002797236,-5.517498907975096,-5.505308952771884,-5.353706987771147,-5.198717633233173,-5.049911558744498,-4.939467263109691,-4.860944634245243,-4.788201406656299,-4.715954697414418,-4.646455426103785,-4.582151393209642,-4.523203732976981,-4.468194555083755,-4.416716727057064,-4.3687559218888055,-4.323967284581158,-4.282012373696489,-4.242578353114368,-4.199362094142998,-4.159521940629929},
+{-4.928218410237605,-5.53265743162774,-5.520508222281933,-5.368474201648496,-5.213051088772772,-5.063817135014688,-4.953089094997267,-4.874337255925639,-4.801408449522569,-4.728946675393672,-4.659241691675561,-4.594770244162646,-4.535660977679072,-4.480491556445486,-4.428869471332291,-4.380778147104138,-4.335869207337964,-4.29380271192349,-4.2542616024948074,-4.210919328448654,-4.170970354163728},
+{-4.941253595330636,-5.547860016864433,-5.535750535025727,-5.383282638751552,-5.227424565520778,-5.077761565735273,-4.96674906345288,-4.8877674273826415,-4.814652267188649,-4.7419747640014975,-4.67206353716756,-4.607424431167601,-4.548152956711419,-4.492822742126009,-4.441056171126547,-4.392834000696894,-4.347804550168803,-4.305626167995797,-4.265977593058778,-4.2225088027407764,-4.182450763306406},
+{-4.954327668092446,-5.56310678783484,-5.551036006036156,-5.398132409485697,-5.2418381724346546,-5.091744965196995,-4.980447279500368,-4.901235248238663,-4.827932965170476,-4.755039064708399,-4.684921065469098,-4.6201140558114275,-4.560679765621899,-4.505188212686335,-4.453276921529323,-4.404923579357273,-4.359773410462367,-4.317482831473171,-4.277726418018574,-4.234130600460048,-4.193963243793405},
+{-4.967440739590529,-5.578397869299806,-5.566364751881338,-5.413023629414965,-5.256292019636021,-5.105767442662909,-4.994183852810238,-4.914740825530316,-4.8412506499298615,-4.768139681822504,-4.6978143866872415,-4.632839217221772,-4.5732415014572325,-4.517588071059436,-4.465531829824613,-4.417046987953654,-4.371775893800077,-4.32937280312035,-4.289508170229965,-4.245784822982387,-4.2055078839475755},
+{-4.980592920390336,-5.593733386202075,-5.581736888678279,-5.427956408064347,-5.270786220738955,-5.119829110692081,-5.007958890091686,-4.928284258588974,-4.854605423897738,-4.781276709480153,-4.71074360331113,-4.645600014584488,-4.585838258317381,-4.530022415994608,-4.477820990541659,-4.429204321582802,-4.383812098785711,-4.341296172133298,-4.301322942767001,-4.257471560296835,-4.2170847631423385},
+{-4.993784321934072,-5.6091134642701945,-5.597152532507607,-5.442930861237983,-5.285320885282999,-5.133930079326092,-5.02177250085515,-4.941865650922409,-4.867997391935205,-4.794450251494709,-4.723708821053151,-4.65839654863521,-4.598470132150396,-4.542491350854107,-4.490144502968178,-4.441395682602888,-4.395882123812044,-4.353253036068054,-4.3131708278742735,-4.269190903338313,-4.228693961333192},
+{-5.007015054943622,-5.624538229407335,-5.6126118002066505,-5.457947102266189,-5.299896127551619,-5.1480704631176195,-5.035624795345939,-4.955485103462706,-4.881426661078876,-4.8076604119632975,-4.736710149598366,-4.671228918974521,-4.611137222716934,-4.5549949795386055,-4.502502476025256,-4.453621175067383,-4.40798607677425,-4.365243491418369,-4.325051922824059,-4.280942956720537,-4.240335567796137},
+{-5.020285232280003,-5.640007807072834,-5.628114808940154,-5.473005245177774,-5.314512058575929,-5.162250374596624,-5.0495158827034174,-4.969142721056414,-4.894893337121175,-4.820907290559262,-4.749747693014797,-4.684097227167513,-4.623839623447566,-4.567533400258981,-4.514894998181262,-4.465880893854774,-4.420124047348509,-4.37726763288083,-4.336966315902828,-4.292727802770969,-4.2520096581065445},
+{-5.0335949650689145,-5.6555223240939085,-5.643661676294869,-5.488105405245733,-5.329168790856784,-5.176469925616402,-5.063445871921431,-4.9828386033841525,-4.9083975280227605,-4.834190990863135,-4.7628215643635485,-4.697001575201284,-4.636577431490878,-4.580106719884498,-4.5273221778916195,-4.478174950862012,-4.432296146384033,-4.389325555181131,-4.348914107205928,-4.30454554935568,-4.263716323286644},
+{-5.046944366022217,-5.671081906853942,-5.659252519457368,-5.503247697168263,-5.343866437804536,-5.190729230998841,-5.077414873798261,-4.996572853568068,-4.921939337495132,-4.847511616528209,-4.775931868796761,-4.709942061155743,-4.649350744366529,-4.592715041602787,-4.539784113396308,-4.490503439548775,-4.44450247061468,-4.401417350527481,-4.360895388344943,-4.316396285954397,-4.275455642120505},
+{-5.060333547855407,-5.686686682623986,-5.674887457527802,-5.518432237586239,-5.358605113971862,-5.205028402197058,-5.091423000128998,-5.010345574955863,-4.935518875317939,-4.860869269352406,-4.789078717025404,-4.722918790750555,-4.662159659746976,-4.60535846822313,-4.552280906216765,-4.502866469105356,-4.456743120397732,-4.413543117967492,-4.372910257516196,-4.328280114859808,-4.287227705717669},
+{-5.07376262345133,-5.7023367780129774,-5.690566606011998,-5.533659141852695,-5.373384932863701,-5.219367553574557,-5.105470357601007,-5.024156867228157,-4.949136247545539,-4.8742640541895526,-4.802262221863202,-4.735931863462611,-4.675004273871309,-4.618037104264658,-4.564812656048161,-4.515264138863131,-4.469018196978141,-4.425702951251878,-4.384958807146177,-4.3401971268394846,-4.299032594215532},
+{-5.08723170525991,-5.71803232095408,-5.706290086112858,-5.5489285267249215,-5.388206009331043,-5.233746801895904,-5.1195570607014815,-5.038006836635759,-4.962791565856605,-4.887696077057626,-4.815482493497257,-4.748981382370403,-4.6878846840627375,-4.630751056552981,-4.577379467169521,-4.527696557866875,-4.4813278048313805,-4.4378969490499,-4.397041136879125,-4.352147428537137,-4.310870397624967},
+{-5.100740907488216,-5.733773439111246,-5.722058015257062,-5.564240508574585,-5.403068456987967,-5.248166259065329,-5.13368321757298,-5.051895582742873,-4.9764849337079795,-4.90116543903423,-4.828739641190623,-4.762067449672031,-4.70080099079496,-4.643500426966057,-4.5899814387230435,-4.540163825826312,-4.493672040596721,-4.450125204282813,-4.409157342000981,-4.364131114125485,-4.3227412052074214},
+{-5.114290343517496,-5.749560260301223,-5.7378705123774125,-5.57959520498116,-5.417972390590876,-5.262626040581381,-5.147848940345284,-5.065823207318317,-4.990216462254466,-4.914672247265116,-4.8420337809293414,-4.775190167827532,-4.713753290605382,-4.656285321252653,-4.602618670433003,-4.552666052382847,-4.506051008764189,-4.462387810788641,-4.421307520089613,-4.37614828923688,-4.33464510061458},
+{-5.127880127376557,-5.765392913192045,-5.7537276965304045,-5.594992734360858,-5.432917927275412,-5.277126262219099,-5.162054341475596,-5.079789815201366,-5.003986262330727,-4.928216610649542,-4.855365022471233,-4.788349642934918,-4.726741681872227,-4.669105847642641,-4.615291271416936,-4.565203339989239,-4.5184648109498085,-4.474684870765486,-4.433491770309047,-4.388199044849898,-4.346582174992363},
+{-5.141510373581696,-5.781271526393539,-5.769629688184068,-5.610433215420926,-5.447905182787508,-5.291667037316074,-5.176299530859978,-5.0937955097761005,-5.017794442115701,-4.941798629683035,-4.868733481198433,-4.801545977352362,-4.73976626656804,-4.681962114853377,-4.627999336124049,-4.577775797602953,-4.530913547918317,-4.487016476785357,-4.4457101923107984,-4.4002834933344275,-4.358552520723606},
+{-5.155181196914782,-5.797196228522807,-5.785576605805545,-5.625916764816793,-5.4629342729531345,-5.3062484841866535,-5.190584621457674,-5.1078403919163975,-5.03164111134538,-4.95541841317754,-4.882139272587665,-4.814779276166519,-4.752827138661814,-4.694854223431321,-4.640742973409942,-4.590383530841791,-4.543397319954238,-4.499382728594355,-4.4579628800056526,-4.412401728310215,-4.370556226458575},
+{-5.168892711364606,-5.813167149222863,-5.8015685707723605,-5.641443504013296,-5.478005314747861,-5.320870718140213,-5.204909725478501,-5.121924566949019,-5.045526382004027,-4.969076069886796,-4.895582510063832,-4.828049642310361,-4.765924401785014,-4.7077822847277275,-4.653522280714242,-4.603026647637307,-4.5559162324498175,-4.511783716872742,-4.470249937723565,-4.424553853430552,-4.38259338127682},
+{-5.182645032960863,-5.829184417401848,-5.817605702512083,-5.657013550924603,-5.493118424179556,-5.335533856014081,-5.21927495476848,-5.136048137232137,-5.0594503643369535,-4.982771703194885,-4.9090633078158135,-4.841357180594059,-4.779058152584184,-4.720746403807425,-4.666337365422805,-4.615705255608191,-4.56847038421256,-4.524219543513027,-4.482571462860506,-4.436739974844386,-4.394664081133669},
+{-5.196438276518165,-5.845248163350334,-5.833688121936575,-5.672627026317059,-5.508273719671706,-5.350238011225883,-5.233680421806639,-5.150211207270331,-5.073413166166574,-4.996505421724578,-4.92258178198972,-4.854701998308883,-4.79222849423968,-4.73374669036275,-4.679188326765143,-4.628419461238082,-4.5810598808311624,-4.536690305663797,-4.494927556159382,-4.4489601953901,-4.406768418812135},
+{-5.2102725586846645,-5.861358517591725,-5.8498159501396,-5.688284051248047,-5.523471321233956,-5.364983305000351,-5.248126239006524,-5.164413883263478,-5.087414905916376,-5.010277334105922,-4.936138048840803,-4.8680842014582595,-4.80543552483141,-4.746783251059242,-4.692075272134389,-4.641169376263861,-4.593684818726615,-4.5491960965737235,-4.507318315416342,-4.46121461592702,-4.41890648642584},
+{-5.224147994435043,-5.877515608910471,-5.865989307385462,-5.703984744883201,-5.538711343564501,-5.379769852850586,-5.262612520105904,-5.178656268049963,-5.101455688942224,-5.02408754692442,-4.949732226777996,-4.881503896249342,-4.818679345786222,-4.759856195509201,-4.704998301604064,-4.653955107401998,-4.606345307496667,-4.561737020500004,-4.519743847791688,-4.473503345994686,-4.431078386412992},
+{-5.238064700890391,-5.893719569248788,-5.8822083166087396,-5.719729230579105,-5.553993907735276,-5.394597771490226,-5.27713937896624,-5.19293846662913,-5.115535630568047,-5.037936169224849,-4.963364429335343,-4.894961186044384,-4.8319600560716935,-4.772965629854298,-4.71795752345497,-4.666776763071539,-4.619041444988397,-4.5743131685158005,-4.5322042503685225,-4.485826483876735,-4.443284208289697},
+{-5.25202279428413,-5.909970529850398,-5.898473098131944,-5.7355176287164795,-5.569319131805969,-5.409467181947548,-5.291706928037456,-5.207260585091717,-5.1296548456084565,-5.0518233102120575,-4.977034777271911,-4.908456181110523,-4.845277762397018,-4.786111666879151,-4.730953040721943,-4.679634456806525,-4.631773334564059,-4.586924643110251,-4.544699627738737,-4.49818414026231,-4.455524053730187},
+{-5.266022391238948,-5.92626862006,-5.914783773499948,-5.751350061902485,-5.584687134462001,-5.424378197894839,-5.306315282534342,-5.221622730437957,-5.143813440576196,-5.065749077621149,-4.990743386493705,-4.921988989612146,-4.858632560775732,-4.79929441423883,-4.743984956985514,-4.692528293664509,-4.644541080087947,-4.599571543592901,-4.557230077232816,-4.510576420863799,-4.467798018697067},
+{-5.280063610160141,-5.942613973675179,-5.931140467379009,-5.767226653377293,-5.600098040013108,-5.439330941335356,-5.320964554397506,-5.23602500987181,-5.158011535524565,-5.0797135837201495,-5.004490376850299,-4.935559716832358,-4.872024559081183,-4.812513978838979,-4.757053381654259,-4.705458388016268,-4.657344786464819,-4.612253967592551,-4.569795707851881,-4.523003430527751,-4.480106207287463},
+{-5.29414656690642,-5.959006721372134,-5.9475432995241135,-5.783147524300148,-5.6155519639578415,-5.454325530947244,-5.335654858201451,-5.250467527359433,-5.172249238450604,-5.093716933311953,-5.018275862472365,-4.9491684721870115,-4.885453852744831,-4.8257704755233135,-4.7701584138776525,-4.7184248446064885,-4.670184552996943,-4.624972012497892,-4.582396617515769,-4.535465270739223,-4.492448708922893},
+{-5.30827138038876,-5.975446994845697,-5.963992394397792,-5.799112801309093,-5.6310490297255456,-5.469362085670582,-5.350386311169132,-5.264950395212509,-5.1865266677123145,-5.107759244121553,-5.032099970878335,-4.96281536774768,-4.898920552805066,-4.8390640123107005,-4.7833001685430645,-4.731427784201514,-4.683060487659532,-4.637725783373753,-4.595032917932258,-4.547962055781682,-4.504825636759051},
+{-5.322438168281224,-5.991934926918475,-5.98048787368316,-5.815122604588396,-5.646589357522316,-5.484440722975705,-5.365159023232991,-5.279473718459485,-5.200843936007004,-5.1218406183688785,-5.04596281391423,-4.976500506403681,-4.912424755639222,-4.852394699664728,-4.796478746298817,-4.7444673083446105,-4.695972687681206,-4.65051537832187,-4.607704703877971,-4.560493890872749,-4.517237082720385},
+{-5.336647049229214,-6.008470651060634,-5.997029862010095,-5.831177061838389,-5.662173069205892,-5.499561565411568,-5.379973114148015,-5.294037608728104,-5.215201156337571,-5.135961173138639,-5.059864511778869,-4.990223999833688,-4.925966569338925,-4.86576264687028,-4.809694251365727,-4.757543532148702,-4.7089212597420556,-4.6633408948619035,-4.620412080665119,-4.5730608795784065,-4.52968314710597},
+{-5.3508981416489405,-6.0250542993380805,-6.0136184829243575,-5.847276297077769,-5.677800288467552,-5.514724731656315,-5.3948286966915475,-5.308642174197303,-5.229598446530872,-5.150121019367361,-5.07380518901482,-5.003985960778664,-4.939546097302809,-4.879167969411355,-4.82294680148334,-4.770656568100094,-4.72190631122794,-4.676202439186454,-4.633155156516295,-4.585663132696936,-4.542163939593593},
+{-5.365191564713314,-6.0416860043260385,-6.030253859418735,-5.863420434361615,-5.693471136335575,-5.529930343822343,-5.409725886027445,-5.323287525287014,-5.244035918971349,-5.164320267023868,-5.087784960487625,-5.017786497883208,-4.9531634454469895,-4.892610773909837,-4.836236497772916,-4.783806525694672,-4.734927941179194,-4.689100112052984,-4.645934035615937,-4.598300756624667,-4.554679555410985},
+{-5.37952743736605,-6.058365901109937,-6.04693611611583,-5.879609600044205,-5.709185735460778,-5.54517852106801,-5.424664798629237,-5.337973774934653,-5.258513691602275,-5.178559027946903,-5.101803952078626,-5.0316257197919185,-4.966818717075512,-4.906091177806957,-4.849563449140987,-4.796993519317766,-4.7479862538020825,-4.702034012712829,-4.658748821246263,-4.610973860093509,-4.567230097447464},
+{-5.393905879995145,-6.075094122730661,-6.063665377099824,-5.895843920494372,-5.724944209068781,-5.560469387688499,-5.439645549922716,-5.352701033159974,-5.273031877237372,-5.192837418348063,-5.115862277096312,-5.045503737565014,-4.980512018213631,-4.919609289150685,-4.862927765760105,-4.810217655962333,-4.761081354175985,-4.715004244833835,-4.671599615714513,-4.623682551973616,-4.57981566953822},
+{-5.408327011657093,-6.091870803495112,-6.0804417679901235,-5.91212352259754,-5.740746681796736,-5.575803059749887,-5.454668254598801,-5.367469413860817,-5.2875905945693376,-5.207155548254377,-5.129960059588484,-5.059420664096251,-4.994243456785625,-4.933165221103991,-4.876329556151177,-4.823479052080074,-4.774213345364842,-4.728010913662729,-4.684486532591109,-4.636426939352532,-4.592436374121462},
+{-5.4227909531546175,-6.108696077848435,-6.0972654127690475,-5.9284485323150875,-5.756593278580112,-5.591179662791546,-5.4697330309063545,-5.3822790291233105,-5.30218995953328,-5.221513533229881,-5.144097420197795,-5.073376606822421,-5.008013138358365,-4.9467590858839685,-4.889768930188438,-4.836777817072289,-4.787382330017863,-4.741054120553599,-4.697409666863678,-4.649207131500589,-4.605092312180204},
+{-5.4372978240207885,-6.125570080374018,-6.114136437303387,-5.944819077645661,-5.772484124019684,-5.6065993221636745,-5.484839995100629,-5.39712999623589,-5.316830088515417,-5.235911490148283,-5.15827448238997,-5.087371682595403,-5.021821168571478,-4.9603909982251935,-4.903245999979845,-4.850114065462549,-4.800588416212122,-4.754133971138799,-4.7103691336815245,-4.662023239245173,-4.6177835859998595},
+{-5.451847745698615,-6.142492946302809,-6.131054966863303,-5.961235286551528,-5.788419341042754,-5.622062154507148,-5.499989261224982,-5.4120224285143195,-5.33151109902974,-5.250349528214429,-5.172491363649897,-5.1014059978188016,-5.035667657764861,-4.974061068358424,-4.916760874366446,-4.8634879071541945,-4.813831705003395,-4.767250569588214,-4.723365031328285,-4.674875371885719,-4.630510302929906},
+{-5.466440839543793,-6.159464810771169,-6.148021127060929,-5.97769728689309,-5.8043990559745,-5.6375682867874275,-5.515180948670604,-5.426956442010123,-5.346233107688022,-5.264827764163783,-5.186748184445605,-5.115479668464104,-5.049552713018784,-4.987769412546186,-4.930313664066489,-4.876899456241517,-4.8271123008889845,-4.7804040208720835,-4.736397471904638,-4.687763641690253,-4.643272564324434},
+{-5.481077226504567,-6.1764858092865325,-6.1650350440177135,-5.994205207753112,-5.820423396420665,-5.653117840229243,-5.530415175024245,-5.441932154972164,-5.360996234398044,-5.279346316361625,-5.201045068344683,-5.12959280639916,-5.063476444018306,-5.001516142816399,-4.943904484753148,-4.8903488242285675,-4.8404303109273314,-4.793594430651865,-4.7494665593258105,-4.700688154771342,-4.656070468845428},
+{-5.495757028471417,-6.193556077967514,-6.1820968446772895,-6.0107591785126715,-5.836492488379008,-5.668710938509321,-5.545692055398831,-5.45694968704629,-5.37580059535685,-5.29390529885859,-5.21538213679014,-5.143745521156234,-5.077438960310246,-5.015301373801776,-4.957533448585309,-4.903836125806265,-4.853785836719908,-4.8068219063279685,-4.762572403647937,-4.713649028301006,-4.668904130012379},
+{-5.510480367647688,-6.210675753180112,-6.199206655437592,-6.027359327425074,-5.85260645771632,-5.684347707981942,-5.561011707868602,-5.472009154516854,-5.390646309504518,-5.308504828935838,-5.229759510795702,-5.157937928663159,-5.0914403687856975,-5.029125221532013,-4.971200664127537,-4.917361469371826,-4.867178984510247,-4.82008655257232,-4.775715103329276,-4.726646370298113,-4.681773640040774},
+{-5.525247365643736,-6.22784497167595,-6.216364603620605,-6.044005786134221,-5.868765432947839,-5.7000282713052,-5.576374251482775,-5.4871106801438145,-5.405533498356817,-5.3231450225866865,-5.244177311302337,-5.172170139609079,-5.105480783051462,-5.042987797693058,-4.984906251811481,-4.9309249713260215,-4.880609859406832,-4.833388478582492,-4.788894775178051,-4.739680292463163,-4.694679109365097},
+{-5.540058145794319,-6.2450638690643245,-6.23357081557333,-6.060698683919327,-5.884969539794838,-5.715752753589186,-5.591779802009114,-5.502254383805848,-5.420462279435014,-5.337826000482892,-5.258635659229185,-5.18644226804463,-5.119560313745751,-5.056889217623393,-4.998650320107117,-4.944526742510789,-4.894078562996583,-4.846727791140438,-4.802111520984909,-4.752750910978648,-4.707620638888329},
+{-5.5549128308666695,-6.262332583617535,-6.25082541978918,-6.0774381524461205,-5.901218908416922,-5.7315212801258895,-5.607228481363563,-5.517440388772229,-5.435432772268541,-5.352547879178019,-5.2731346782893525,-5.200754427467473,-5.133679070386279,-5.070829594034876,-5.012432985604391,-4.958166895157774,-4.907585203953204,-4.860104599836632,-4.815365449976525,-4.7658583352167625,-4.72059833505773},
+{-5.569811543544347,-6.279651253040356,-6.268128543881176,-6.094224322223454,-5.917513668020547,-5.747333975712536,-5.622720402556297,-5.532668820160325,-5.450445099137141,-5.3673107756258105,-5.287674488143239,-5.215106730109255,-5.147837167671241,-5.0848090450963355,-5.026254366683133,-4.971845543332165,-4.921129886482959,-4.873519011714961,-4.828656669458724,-4.779002676674281,-4.733612303374684},
+{-5.58475440796974,-6.297020013407746,-6.285480315244058,-6.111057324538706,-5.933853945680312,-5.763190967729315,-5.638255687445053,-5.547939799304004,-5.465499376710795,-5.382114810825442,-5.302255212147429,-5.229499292188848,-5.162034717061033,-5.098827685033029,-5.040114574112522,-4.985562800458865,-4.93471271636372,-4.886971137049841,-4.841985289924196,-4.792184053629171,-4.746662648321944},
+{-5.599741547914164,-6.314439004199812,-6.302880863244354,-6.1279372929930105,-5.950239871213853,-5.779092379882059,-5.653834455370088,-5.5632534553078585,-5.480595729561173,-5.396960104131722,-5.31687697081361,-5.243932224846503,-5.176271829906909,-5.112885630383971,-5.054013730346924,-4.999318778660381,-4.948333801177796,-4.900461088225711,-4.855351417485508,-4.8054025769088184,-4.759749475386343},
+{-5.614773087629146,-6.331908364249102,-6.320330317226762,-6.144864359186613,-5.966671575632063,-5.795038343232591,-5.669456823321525,-5.5786099130200455,-5.495734279109456,-5.41184677342244,-5.331539887316467,-5.258405640859564,-5.190548623431823,-5.126982991758268,-5.067951946213725,-5.013113590524881,-4.961993239383446,-4.913988967469777,-4.868755162053276,-4.8186583594215335,-4.772872884946992},
+{-5.629849151129747,-6.349428230263584,-6.337828804615128,-6.16183865590574,-5.983149187806703,-5.811028979376715,-5.685122914372187,-5.594009303938947,-5.510915147293417,-5.426774942679913,-5.346244083644706,-5.27291965821496,-5.204865210376738,-5.141119889871334,-5.081929346139077,-5.026947350444971,-4.9756911465810845,-4.927554891866748,-4.882196629376267,-4.831951516971458,-4.786032993230037},
+{-5.644969863951701,-6.366998743164004,-6.355376456333033,-6.178860316780629,-5.999672841622669,-5.827064418466762,-5.700832844981051,-5.609451754280599,-5.526138455839828,-5.441744729905622,-5.360989680659259,-5.2874743878346635,-5.219221704763186,-5.155296438708319,-5.095946045257733,-5.040820169742801,-4.9894276258855825,-4.941158973961137,-4.895675936029875,-4.84528216032777,-4.799229902331717},
+{-5.660135350193741,-6.38462004106259,-6.372973400648334,-6.195929475339653,-6.016242665027676,-5.843144789047074,-5.716586734029988,-5.624937395870802,-5.541404326846532,-5.456756257386587,-5.375776800829044,-5.302069944591494,-5.2336182240906055,-5.169512752283481,-5.110002161498414,-5.054732162941946,-5.003202782390872,-4.954801318919635,-4.9091931869479595,-4.858650404770742,-4.812463717345963},
+{-5.675345736293821,-6.402292263766867,-6.390619768586475,-6.213046266610036,-6.032858791651961,-5.85927021758107,-5.732384706250741,-5.6404663633366,-5.556712886507739,-5.471809644324821,-5.390605569409672,-5.316706445795717,-5.248054884839803,-5.183768949791556,-5.124097816180438,-5.068683446312207,-5.017016725323629,-4.968482045660494,-4.92274849183741,-4.872056365333265,-4.825734549347544},
+{-5.690601147038251,-6.420015551484539,-6.408315690103336,-6.230210823574453,-6.049521352666488,-5.875440834017354,-5.748226879593858,-5.656038786401041,-5.572064258012688,-5.486905015692173,-5.4054761066581705,-5.33138400316966,-5.262531802953163,-5.198065147647867,-5.138233130899607,-5.082674129924271,-5.030869564856403,-4.982201260805596,-4.936341966371401,-4.885500156698981,-4.839042508567218},
+{-5.705901709647151,-6.43779004424141,-6.426061296209809,-6.247423282817181,-6.066230481133971,-5.891656764797517,-5.764113375415036,-5.671654802084959,-5.5874585646160995,-5.502042491403699,-5.420388532584184,-5.346102732088184,-5.277049094380345,-5.212401457654778,-5.152408223584644,-5.096704327064799,-5.044761400480638,-4.995959076462896,-4.949973713301006,-4.898981889360584,-4.8523876998369815},
+{-5.72124754912511,-6.4556158829291235,-6.443856717960443,-6.264683780500491,-6.082986311652348,-5.907918141449045,-5.7800443148298655,-5.687314544717083,-5.602895934302069,-5.517222195230715,-5.4353429752227385,-5.360862748821091,-5.29160688284901,-5.226778003008803,-5.166623218625318,-5.1107741578889545,-5.058692353020888,-5.009755610721186,-4.963643852650421,-4.91250168235274,-4.865770238218829},
+{-5.736638793176098,-6.473493207769934,-6.461702085362049,-6.28199245032738,-6.099788975297997,-5.924225093251152,-5.796019819754292,-5.703018150517892,-5.618376488673675,-5.532444247415697,-5.450339555318351,-5.375664166807837,-5.306205279004644,-5.241194895745139,-5.180878232917166,-5.124883727199631,-5.072662521983148,-5.023590971759404,-4.97735248914978,-4.926059647026705,-4.879190228646621},
+{-5.752075568500004,-6.491422160412185,-6.479597532379557,-6.299349430235452,-6.116638608138601,-5.9405777501669945,-5.812040013086516,-5.718765759571397,-5.633900356500817,-5.547708771766338,-5.46537839659868,-5.390507101488765,-5.3208444072224665,-5.255652256513713,-5.195173393949517,-5.139033157072845,-5.08667201983917,-5.037465274886927,-4.991099737555487,-4.939655901223887,-4.892647787695751},
+{-5.767558002469741,-6.50940288221318,-6.497543188241252,-6.316754856394255,-6.133535340937669,-5.956976241614029,-5.8281050154037075,-5.734557508782018,-5.649467663366522,-5.563015890911629,-5.480459618360328,-5.405391665757634,-5.335524384863675,-5.270150197291514,-5.209508822590578,-5.153222555949469,-5.100720956630539,-5.051378632284468,-5.004885709742666,-4.953290558696608,-4.906143021362368},
+{-5.783086222523707,-6.527435515490652,-6.515539187901595,-6.334208866908739,-6.150479312658717,-5.973420699941926,-5.844214952900074,-5.750393539965444,-5.665078536767396,-5.578365729881625,-5.495583348158107,-5.420317981624976,-5.350245335546788,-5.284688841056777,-5.223884642240591,-5.167452044202946,-5.114809443126433,-5.0653311606438365,-5.018710518925218,-4.966963732600561,-4.9196760456688935},
+{-5.798660356740584,-6.545520200976171,-6.533585661461984,-6.351711597664689,-6.167470657521335,-5.989911251803278,-5.860369944355625,-5.7662739927036455,-5.6807331051677465,-5.593758406823326,-5.510749706438219,-5.435286155130598,-5.365007377011352,-5.299268302071141,-5.238300975121092,-5.1817217295465525,-5.128937589601264,-5.079322968857014,-5.032574275377556,-4.980675539598451,-4.933246969871107},
+{-5.814280533617421,-6.563657083148428,-6.551682744713617,-6.3692631885714945,-6.1845095112221316,-6.006448036823713,-5.876570118613017,-5.782199011329794,-5.696431496202422,-5.609194051838131,-5.525958819620428,-5.450296312526916,-5.379810632090084,-5.313888699747622,-5.252757947688224,-5.196031731087714,-5.143105508454028,-5.093354177879519,-5.04647709481651,-4.994426096440293,-4.946855909802252},
+{-5.82994688144754,-6.58184630364849,-6.569830569009355,-6.386863777479448,-6.201596007711487,-6.023031179865939,-5.892815595143475,-5.7981687375795445,-5.712173837251612,-5.624672782920243,-5.541210811548808,-5.465348559198901,-5.394655221971334,-5.328550150996307,-5.26725568297843,-5.2103821601194795,-5.157313307514414,-5.107424896807061,-5.060419086861657,-5.008215516791097,-4.960502978850855},
+{-5.845659529473778,-6.600088005354337,-6.588029267615639,-6.404513502347982,-6.21873028477421,-6.03966081651015,-5.909106501967472,-5.814183314192633,-5.727960258729581,-5.640194727675407,-5.556505803018808,-5.480443017688231,-5.409541268381872,-5.343252776510781,-5.281794306720258,-5.224773135589203,-5.1715611077524954,-5.121535242316895,-5.074400371697266,-5.022043918201234,-4.974188293912448},
+{-5.861418606953521,-6.618382332329929,-6.606278975887108,-6.42221250385046,-6.235912480275147,-6.056337079455261,-5.925442964566173,-5.830242888951034,-5.743790892745892,-5.655760012836254,-5.5718439198390115,-5.495579802940483,-5.424468899145722,-5.357996694932808,-5.29637394339079,-5.239204768658965,-5.185849013621919,-5.135685330576962,-5.088421060310793,-5.035911416969611,-4.987911966454703},
+{-5.877224242696684,-6.6367294283845695,-6.6245798288000515,-6.439960922696628,-6.25314273389813,-6.073060099348368,-5.941825107947807,-5.846347605889605,-5.759665866564319,-5.671368756848096,-5.587225287090405,-5.510759029290057,-5.4394382316677365,-5.372782024205662,-5.310994720101007,-5.253677174376207,-5.200177143051405,-5.149875273506041,-5.102481264984817,-5.049818126135506,-5.001674118364463},
+{-5.8930765679397155,-6.65512943729118,-6.642931958915142,-6.457758895674488,-6.270421179215191,-6.08983001447632,-5.9582530566476635,-5.8624976108185365,-5.775585310533643,-5.687021089572227,-5.6026500295702135,-5.5259808139526285,-5.454449392200331,-5.387608884382644,-5.325656759159756,-5.268190468123066,-5.214545610971982,-5.164105191171984,-5.116581100737676,-5.063764163729502,-5.015474861633265},
+{-5.908975711779931,-6.673582504074147,-6.661335503777082,-6.475606566731585,-6.287747956994281,-6.106646954132884,-5.974726941240078,-5.878693051505252,-5.791549358793418,-5.702717134074192,-5.61811827083875,-5.541245271961088,-5.469502506311983,-5.402477393756271,-5.340360189075,-5.282744765558164,-5.228954527454334,-5.178375195726403,-5.130720684188418,-5.0777496456721565,-5.029314316183445},
+{-5.924921805621125,-6.692088772288116,-6.679790597583633,-6.493504076148383,-6.305123204183474,-6.123511055811832,-5.991246886507724,-5.894934073097829,-5.8075581407756545,-5.718457017930632,-5.63363013228809,-5.556552523194114,-5.484597697548452,-5.417387676789076,-5.355105136011844,-5.297340178978629,-5.24340401252266,-5.192685404486838,-5.144900130704627,-5.091774690619786,-5.043192603785428},
+{-5.94091498009584,-6.7106483884344925,-6.6982973761842,-6.511451565704192,-6.322547060495708,-6.140422451047925,-6.007813020594767,-5.911220825946657,-5.823611788007838,-5.734240865975153,-5.6491857437067665,-5.5719026816950645,-5.499735092249466,-5.432339849838172,-5.369891723748879,-5.311976824887097,-5.257894180176663,-5.20703593431972,-5.159119555246434,-5.105839413212379,-5.057109840156045},
+{-5.956955366054899,-6.72926149777777,-6.7168559768251725,-6.529449176763592,-6.340019669216417,-6.15738127813529,-6.024425472554867,-5.927553458997863,-5.839710436157475,-5.750068804278271,-5.664785229906556,-5.587295865829219,-5.514914815226803,-5.447334037089604,-5.384720084024593,-5.3266548197716475,-5.272425147282775,-5.221426899443031,-5.173379073414253,-5.119943928497378,-5.071066151736886},
+{-5.97304309548781,-6.747928245436924,-6.73546653403173,-6.547497050923994,-6.3575411667407025,-6.174387672595913,-6.041084371187026,-5.943932117901568,-5.855854217188607,-5.765940963799949,-5.680428716324968,-5.602732195562567,-5.530136996312649,-5.462370361288777,-5.399590338463895,-5.341374278083094,-5.286997035043896,-5.235858422573074,-5.187678803078597,-5.134088359365705,-5.085061657926417},
+{-5.989178300020285,-6.766648777833325,-6.754129187022045,-6.56559533309337,-6.375111692410428,-6.191441766881326,-6.057789845879597,-5.960356954128656,-5.872043260038481,-5.781857465932262,-5.696116325256298,-5.61821178131504,-5.545401756287902,-5.477448938821908,-5.414502617481048,-5.3561353119876,-5.301609954127343,-5.250330615075654,-5.202018858995871,-5.148272814432858,-5.099096477541025},
+{-6.005361112464016,-6.785423242305114,-6.772844072562293,-6.583744166069664,-6.392731389976689,-6.208543701235612,-6.074542025933624,-5.976828112354269,-5.888277703896165,-5.797818440492847,-5.711848182691028,-5.63373474367836,-5.560709224635502,-5.492569896465284,-5.42945704307931,-5.370938036619918,-5.3162640234368155,-5.264843594093691,-5.216399359007482,-5.162497415294638,-5.113170733005973},
+{-6.021591664546577,-6.804251784364169,-6.791611327731516,-6.601943693385692,-6.410400398861384,-6.225693610540475,-6.0913410443026805,-5.993345747170679,-5.904557679947175,-5.813824017866864,-5.727624417690095,-5.649301205718075,-5.576059529048507,-5.507733357953839,-5.444453747782973,-5.385782572135213,-5.330959365266608,-5.279397481339402,-5.230820418975782,-5.176762276736554,-5.127284554328071},
+{-6.037870090105571,-6.823134551872499,-6.810431093043007,-6.620194059920323,-6.428118864329008,-6.242891632275132,-6.108187029931287,-6.009910004293488,-5.920883324528404,-5.829874326445861,-5.743445155443624,-5.664911278232466,-5.591452798733371,-5.522939447750105,-5.459492855719873,-5.40066903072875,-5.345696099931956,-5.293992395090754,-5.245282159259659,-5.191067517953343,-5.141438062099041},
+{-6.0541965213669755,-6.842071693157777,-6.829303503676783,-6.638495409330062,-6.445886924389924,-6.260137907040189,-6.125080114659795,-6.026521031744778,-5.937254768490675,-5.845969491332653,-5.759310520865256,-5.680565083122929,-5.606889160044375,-5.53818828400108,-5.47457449400099,-5.4155975262547145,-5.36047434246575,-5.308628451719414,-5.259784697773284,-5.205413252202561,-5.15563137891877},
+{-6.070571092899627,-6.861063355085207,-6.848228701062908,-6.656847888225457,-6.463704723675619,-6.277432567534561,-6.142020430990669,-6.04317898183217,-5.953672148607438,-5.862109644978773,-5.775220644165529,-5.6962627397006145,-5.622368743293919,-5.553479994792724,-5.489698790057446,-5.430568179086549,-5.375294214798487,-5.323305772675667,-5.274328148312634,-5.219799596176017,-5.16986463246576},
+{-6.0869939377844275,-6.880109686120704,-6.86720682453597,-6.675251640255738,-6.481572405748011,-6.294775758149626,-6.159008114875178,-6.059884001384489,-5.970135603245581,-5.878294917332823,-5.791175649719662,-5.712004364570021,-5.637891676844447,-5.568814708545688,-5.504865874609095,-5.44558110149228,-5.390155838642386,-5.338024473137921,-5.28891263405967,-5.234226671178476,-5.1841379491379485},
+{-6.103465191037685,-6.899210835174017,-6.886238013255934,-6.693706813792232,-6.499490112328203,-6.312167613396014,-6.176043293242401,-6.076636237099592,-5.986645261305966,-5.894525436277036,-5.807175663547241,-5.727790076940437,-5.653458087617764,-5.584192545109545,-5.520075868305867,-5.460636409494327,-5.405059332362725,-5.352784675051225,-5.30353827305953,-5.248694585607154,-5.198451448130072},
+{-6.119984986456984,-6.918366950987547,-6.905322407626954,-6.71221355455782,-6.517457990616094,-6.329608273263148,-6.193126103658869,-6.093435840652091,-6.003201263039955,-5.910801334408461,-5.8232208158297,-5.743619998116628,-5.669068110684748,-5.599613635728019,-5.535328906669747,-5.475734219144215,-5.420004822852206,-5.367586500447942,-5.318205185903935,-5.26320346207649,-5.212805265982752},
+{-6.13655345972802,-6.9375781827184255,-6.924460147813079,-6.730772008901113,-6.535476180943078,-6.347097880738147,-6.210256678394217,-6.110282956309675,-6.019803738949122,-5.927122739958577,-5.83931123430375,-5.759494244848611,-5.684721872152295,-5.615078102448024,-5.550625107687665,-5.490874651397462,-5.434992427704856,-5.382430067678797,-5.332913491132786,-5.277753414135077,-5.227199519475107},
+{-6.153170745859825,-6.956844680702488,-6.943651376743219,-6.749382325091574,-6.553544830050669,-6.364636571684969,-6.227435155022249,-6.127177734786528,-6.0364528294157935,-5.943489784229314,-5.855447045469191,-5.775412939416128,-5.700419502551085,-5.630586077371845,-5.565964606648777,-5.5060578192496905,-5.450022266144515,-5.397315498470562,-5.347663307591574,-5.2923445542983245,-5.241634338919539},
+{-6.169836980694527,-6.976166594526148,-6.962896233890206,-6.768044650874799,-6.571664082548523,-6.382224491280795,-6.244661666009051,-6.144120322620438,-6.053148668710492,-5.959902601491194,-5.871628377251909,-5.791376199951628,-5.716161135031143,-5.646137684787391,-5.5813475275208475,-5.52128383978561,-5.46509446692653,-5.4122429111012025,-5.362454757487285,-5.306977004089276,-5.256109847992775},
+{-6.186552299568575,-6.995544074365171,-6.982194862110191,-6.786759134847671,-6.589834084814356,-6.3998617777760956,-6.261936347313167,-6.161110867615207,-6.069891390725388,-5.976361320135766,-5.887855360007961,-5.807384150408325,-5.731946899890318,-5.66173305643315,-5.596773999786819,-5.536552833989845,-5.480209152083262,-5.4272124319541035,-5.377287960640388,-5.321650876998319,-5.270626176439691},
+{-6.203316839721083,-7.014977271661337,-7.001547405023302,-6.805525927033159,-6.608054983851616,-6.417548570687359,-6.279259334332892,-6.178149514686083,-6.086681134009268,-5.992866072730976,-5.904128122594557,-5.823436905673589,-5.747776927688392,-5.677372319711139,-5.612244147603633,-5.551864916007617,-5.495366440824,-5.442224176673335,-5.392163039461593,-5.336366285482654,-5.285183445783332},
+{-6.220130736852298,-7.03446633709973,-7.020954003666702,-6.824345174492919,-6.626326924575551,-6.43528501909168,-6.296630763936264,-6.195236412080703,-6.103518032468855,-6.009416993372724,-5.920446794101736,-5.839534591941629,-5.7636513548350194,-5.693055604075198,-5.627758100279607,-5.567220205208287,-5.510566460725386,-5.457278275251156,-5.407080113291158,-5.351123349479167,-5.299781779831392},
+{-6.236994128576043,-7.054011423475458,-7.040414802446321,-6.8432170296873664,-6.644650053749501,-6.453071258154523,-6.314050773144118,-6.212371705129044,-6.120402222324628,-6.026014210685389,-5.936811505496735,-5.855677327635931,-5.779570305821835,-5.708783041263814,-5.643315987865208,-5.582618822620134,-5.525809331273194,-5.472374843884609,-5.422039302997291,-5.365922179931658,-5.314421308459714},
+{-6.253907152273314,-7.073612680520455,-7.059929943759926,-6.862141639467154,-6.663024517794838,-6.470907434500987,-6.331519497805857,-6.229555537909619,-6.1373338403354865,-6.042657859274186,-5.953222384094261,-5.871865236447775,-5.795533920187154,-5.72455476297182,-5.658917934561032,-5.59806088503683,-5.541095181746641,-5.487514005828416,-5.437040733551839,-5.380762900604168,-5.3291021546465345},
+{-6.270869945612503,-7.093270261779253,-7.079499573614157,-6.881119159537775,-6.6814504674403,-6.488793690594321,-6.349037078718538,-6.246788058881066,-6.154313024308067,-6.05934807707672,-5.969679561138037,-5.888098439405439,-5.811542329684016,-5.740370899293339,-5.674564071538043,-5.613546513370238,-5.556424131282256,-5.502695886490983,-5.452084526521503,-5.3956456184678245,-5.343824437717558},
+{-6.287882646338403,-7.112984320054238,-7.099123836320359,-6.900149737884931,-6.699928050511517,-6.506730169792718,-6.36660364967247,-6.264069415396079,-6.171339907188667,-6.076084990054369,-5.986183165980037,-5.904377057697275,-5.827595665527042,-5.7562315874383785,-5.69025452308415,-5.629075827993802,-5.5717963102360955,-5.5179206060565775,-5.467170799456653,-5.410570451407693,-5.3585882903280435},
+{-6.304945393174421,-7.132755008271488,-7.1188028762699105,-6.919233526517928,-6.718457412775024,-6.524717019223317,-6.3842193494638195,-6.281399743951624,-6.188414624964935,-6.0928687356063165,-6.002733334855293,-5.920701215844019,-5.843694063441944,-5.772136955260066,-5.705989421810955,-5.644648950023111,-5.587211839738302,-5.533188294997672,-5.482299678973504,-5.425537520713988,-5.373393828704138},
+{-6.322058325094986,-7.1525824806522,-7.1385368399569415,-6.938370679228683,-6.737038706174644,-6.542754378308018,-6.401884319813689,-6.298779197095428,-6.205537315443507,-6.109699446198647,-6.019330192779307,-5.937071038439171,-5.859837654134026,-5.788087138018454,-5.721768891584361,-5.660265999089461,-5.602670843014494,-5.548499070981052,-5.497471283946652,-5.440546935671591,-5.38824117812328},
+{-6.339221581063612,-7.172466888849158,-7.158325872384012,-6.957561347153387,-6.755672077553754,-6.5608423978919745,-6.419598696767935,-6.316207915879204,-6.222708116634749,-6.1265772570623085,-6.03597387301852,-5.953486645870726,-5.876026575351716,-5.804082272516098,-5.73759306363354,-5.67592709933524,-5.618173449402093,-5.563853059473331,-5.512685740774032,-5.455598817396094,-5.403130460210377},
+{-6.35643530021116,-7.192408389062621,-7.178170121194853,-6.976805685677391,-6.774357678179513,-6.578981218728586,-6.43736262107268,-6.333686046607909,-6.239927161732339,-6.143502304708818,-6.052664509625174,-5.969948165977257,-5.892260961642023,-5.820122493154486,-5.7534620643855305,-5.691632373578614,-5.63371978320356,-5.579250388924265,-5.527943168752245,-5.470693286784808,-5.418061801392469},
+{-6.3736996231200465,-7.21240713615407,-7.198069733472948,-6.996103846955521,-6.793095660592371,-6.597170988097787,-6.455176231102087,-6.3512137325597,-6.257194585909019,-6.16047471841739,-6.069402233086294,-5.986455722697428,-5.908540944263223,-5.83620793686714,-5.769376024152734,-5.707381941159838,-5.649309969114256,-5.594691179110669,-5.543243692198303,-5.485830450037611,-5.433035317546455},
+{-6.391014689179428,-7.232463282511162,-7.218024854963005,-7.0154559863804025,-6.811886171621154,-6.615411855622369,-6.473039665899705,-6.36879111971939,-6.274510530027328,-6.177494639734505,-6.086187178691034,-6.0030094393587206,-5.924866663379362,-5.852338739830884,-5.785335069274879,-5.723175929058925,-5.664944136005943,-5.610175564230303,-5.558587433828507,-5.501010435691569,-5.448051138140727},
+{-6.408380639826646,-7.2525769863132155,-7.238035635287815,-7.034862257736677,-6.830729364301078,-6.6337039644495235,-6.490953067972441,-6.386418349837186,-6.291875124690705,-6.194562200878863,-6.1030194766499335,-6.019609443406807,-5.941238251092727,-5.868515038950136,-5.801339331708732,-5.739014461170882,-5.680622408282943,-5.625703660931322,-5.573974516388262,-5.516233355854638,-5.46310937848466},
+{-6.425797615273041,-7.27274840271275,-7.258102223473543,-7.0543228168317,-6.8496253896009875,-6.652047462739574,-6.508916576509364,-6.40409556812665,-6.309288509728503,-6.211677537226933,-6.1198992606659885,-6.036255858081859,-5.957655841732048,-5.884736972977407,-5.817388932744507,-5.7548976624239,-5.6963449125760235,-5.641275599205983,-5.589405058795819,-5.53149933271925,-5.47821016087255},
+{-6.44326575670857,-7.292977686491213,-7.278224765876075,-7.073837819174514,-6.868574399341014,-6.670442499074852,-6.526930334381177,-6.421822919684928,-6.326750822176109,-6.228840786934597,-6.13682666583918,-6.052948815457057,-5.974119573511416,-5.901004678977188,-5.833484006914659,-5.770825657993555,-5.712111779037514,-5.656891507780529,-5.604879186896142,-5.546808481391054,-5.493353609694168},
+{-6.460785206902074,-7.313264996169892,-7.298403415494249,-7.093407421576558,-6.887576548491779,-6.6888892187562305,-6.544994479467277,-6.439600548023009,-6.344262195198098,-6.246052085494739,-6.153801823602407,-6.06968843593495,-5.990629579551751,-5.917318300213083,-5.849624683658476,-5.786798573608394,-5.727923133817967,-5.672551511219353,-5.620397024569684,-5.562160926972865,-5.508539844115148},
+{-6.4783561064177775,-7.333610487621627,-7.318638319025922,-7.113031780412712,-6.906631986210414,-6.707387775488314,-6.563109154449194,-6.457428598558181,-6.361822766935802,-6.263311571237864,-6.170824873726815,-6.086474854571861,-6.0071859982126625,-5.933677974186139,-5.865811086347094,-5.802816536583123,-5.7437791038973955,-5.688255739136366,-5.635958693921566,-5.577556784104672,-5.523768987914082},
+{-6.495978599086811,-7.354014319120324,-7.338929628509504,-7.1327110543934396,-6.925740868166031,-6.725938315750682,-6.581274503143504,-6.475307217406225,-6.379432675938006,-6.280619379787822,-6.187895948532969,-6.1033081969217164,-6.023788966500433,-5.9500838429812575,-5.882043347068247,-5.818879675556673,-5.759679816605058,-5.704004317871295,-5.651564316067379,-5.5929961783695035,-5.539041160867782},
+{-6.513652826259204,-7.374476646677067,-7.359277495081187,-7.152445398358395,-6.9449033478304045,-6.744540987208893,-6.599490665961639,-6.493236547525157,-6.39709205662075,-6.297975652341847,-6.205015182000352,-6.120188589702593,-6.040438618219923,-5.966536048959824,-5.898321592947468,-5.834988117901958,-5.775625405920437,-5.719797374782502,-5.667214014014462,-5.608479230577359,-5.554356489301426},
+{-6.531378932086227,-7.394997630704893,-7.379682069476985,-7.17223497320083,-6.964119577452948,-6.763195942003222,-6.617757783009438,-6.511216732891626,-6.41480104465154,-6.315380524669308,-6.222182713085203,-6.137116165016778,-6.057135089140502,-5.98303472828411,-5.914645952609135,-5.851141991326585,-5.791615994618041,-5.735635039993213,-5.682907912749215,-5.62400606108713,-5.569715089062811},
+{-6.549157060042489,-7.415577428997494,-7.40014350463025,-7.1920799387589796,-6.983389716573583,-6.781903329429042,-6.636076003764174,-6.529247925253003,-6.432559783133911,-6.332834138243925,-6.2393986779643456,-6.154091051997966,-6.073878520022845,-5.999580028976197,-5.931016555608949,-5.86734142737987,-5.807651717681438,-5.75151744451432,-5.698646133867442,-5.639576793531887,-5.585117092370638},
+{-6.566987352860451,-7.4362162003453705,-7.420661952201044,-7.211980451575073,-7.002713914771448,-6.800663302317844,-6.654445465552271,-6.547330264947959,-6.4503684020310175,-6.350336631046957,-6.256663212014246,-6.171113385382341,-6.090669045748655,-6.016172093295609,-5.94743352959631,-5.8835865548753645,-5.823732700897381,-5.767444716679165,-5.714428800842143,-5.655191553581972,-5.600562618317781},
+{-6.584869956001057,-7.456914104630414,-7.441237565093616,-7.231936673306336,-7.022092329527368,-6.819476009128266,-6.672866313543636,-6.565463901250041,-6.468227044431842,-6.367888146094629,-6.27397645493329,-6.188183290869347,-6.1075068029313115,-6.03281106344366,-5.963897005378385,-5.899877505202312,-5.839859074651031,-5.783416982158087,-5.730256036898936,-5.670850465103285,-5.61605179401522},
+{-6.602805013368197,-7.477671301341616,-7.461870497056225,-7.251948764656845,-7.041525116583216,-6.838341602953733,-6.691338690376142,-6.583648977815756,-6.48613584501436,-6.38548882122268,-6.291338540933793,-6.205300903617172,-6.124391927922261,-6.049497080777655,-5.980407106748316,-5.91621440956078,-5.856030973169254,-5.799434374348493,-5.746127963808249,-5.686553651758004,-5.631584745628061},
+{-6.6207926706265425,-7.498487951728748,-7.48256090299401,-7.272016885581252,-7.06101243289595,-6.857260236196453,-6.7098627438244876,-6.601885646392475,-6.504094942982192,-6.4031388030416565,-6.308749612609972,-6.222466355859069,-6.141324561598594,-6.0662302937416825,-5.996963966317708,-5.932597398379585,-5.87224852637155,-5.815497024625074,-5.762044707124005,-5.70230124387308,-5.647161601373227},
+{-6.638833073018759,-7.51936421575374,-7.503308935694804,-7.292141197802266,-7.080554434993246,-6.8762320585374255,-6.728438614780316,-6.620174051640788,-6.522104477407993,-6.420838227670174,-6.326209805221879,-6.239679780701408,-6.1583048368338495,-6.083010843402008,-6.013567711008363,-5.949026604968822,-5.888511863318854,-5.831605061117443,-5.778006387263304,-5.718093361356296,-5.662782488070661},
+{-6.6569263649580535,-7.540300254353497,-7.524114751882735,-7.312321863901161,-7.100151280203136,-6.895257228228729,-6.747066449112026,-6.638514342557755,-6.540164584177546,-6.43858724423626,-6.3437192603887524,-6.256941315092263,-6.175332895392785,-6.099838875772548,-6.030218468411476,-5.965502159233438,-5.904821117568645,-5.847758616742794,-5.794013131977408,-5.7339301371976035,-5.678447537778993},
+{-6.675072694451956,-7.561296230305743,-7.544978505298786,-7.332559045818925,-7.119803123685415,-6.914335892914096,-6.76574639264436,-6.656906667267322,-6.558275403091102,-6.456385992249125,-6.361278117488837,-6.274251089242171,-6.192408873030217,-6.116714534829953,-6.046916368213715,-5.98202419950394,-5.921176417876268,-5.863957817942719,-5.8100650642154505,-5.749811694142409,-5.694156881450908},
+{-6.693272206699476,-7.582352304212691,-7.565900353452889,-7.352852906602493,-7.13951012546022,-6.933468208662816,-6.784478593195672,-6.675351176032564,-6.576437077470473,-6.474234620080097,-6.378886516962666,-6.291609241132392,-6.209532910244889,-6.133637967635877,-6.063661539563327,-5.998592856092728,-5.937577903445344,-5.8802028022910235,-5.826162305136677,-5.765738168294774,-5.709910650955862},
+{-6.711525048805925,-7.60346863992163,-7.586880451795878,-7.373203611881763,-7.159272445875104,-6.952654330161749,-6.803263194247847,-6.693848016730044,-6.594649743812624,-6.492133273583022,-6.396544598377659,-6.309015908249421,-6.22670514244237,-6.150609317512135,-6.0804541108664125,-6.015208264769171,-5.954025701561477,-5.896493696622201,-5.842304982797941,-5.781709680901258,-5.725708980200579},
+{-6.729831368589657,-7.62464539987559,-7.607918959882227,-7.393611323765072,-7.179090241443191,-6.971894411850371,-6.82210034475429,-6.712397344541387,-6.612913543212926,-6.510082097840495,-6.414252502814634,-6.326471227512229,-6.243925711823977,-6.167628733368474,-6.097294214487192,-6.031870558013907,-5.970519949682057,-5.912830635905266,-5.858493220584933,-5.797726367323776,-5.7415520070208},
+{-6.748191313286952,-7.6458827472743,-7.629016032507934,-7.414076206434402,-7.198963671944512,-6.991188607906224,-6.840990188691649,-6.730999303486897,-6.631228612750419,-6.528081240074243,-6.432010373478988,-6.343975332783884,-6.2611947542463895,-6.184696357260691,-6.114181973040104,-6.048579871785478,-5.987060777217266,-5.929213750976487,-5.874727142450865,-5.813788355240831,-5.757439865585184},
+{-6.766605030563369,-7.667180846307019,-7.6501718306026305,-7.434598428211757,-7.218892897013575,-7.010537075082539,-6.859932878636755,-6.7496540479769465,-6.649595099195722,-6.546130848102621,-6.449818348424742,-6.361528366338462,-6.278512410062831,-6.201812335915747,-6.13111751973338,-6.06533633977233,-6.003648318088381,-5.9456431680882815,-5.891006872829166,-5.829895774702891,-5.773372693976853},
+{-6.785072669452347,-7.688539860777382,-7.6713865104393335,-7.455178152224107,-7.238878075608227,-7.02993996735313,-6.878928558289772,-6.768361731243203,-6.668013140326366,-6.564231074153213,-6.467676572065102,-6.379130465167691,-6.295878819815698,-6.21897681694827,-6.148100982885808,-6.082140103986603,-6.020282710320316,-5.962119025789434,-5.907332538743503,-5.846048758729012,-5.7893506358377635},
+{-6.803594378703565,-7.709959955587692,-7.692660232620256,-7.475815545411024,-7.258919371415686,-7.0493974414421245,-6.897977380387601,-6.787122504319996,-6.686482878430979,-6.582382067426806,-6.4855851890315535,-6.396781773364637,-6.313294124789536,-6.236189948118408,-6.165132495079888,-6.098991291582934,-6.036964085345971,-5.978641455600155,-5.9237042669410584,-5.862247439610655,-5.805373826209689},
+{-6.822170307030319,-7.731441297139099,-7.713993157929508,-7.496510775970819,-7.279016945481999,-7.068909655790776,-6.917079490973265,-6.805936520482646,-6.705004456511233,-6.600583975116024,-6.50354433778557,-6.4144824260729365,-6.3307584617869,-6.253451871118159,-6.182212181593059,-6.115890043292893,-6.053692580302595,-5.9952105861739255,-5.940122180560138,-5.878491945084534,-5.821442407206632},
+{-6.840800604324613,-7.7529840484276065,-7.735385444750136,-7.517264009373321,-7.299170956343005,-7.088476764634834,-6.936235042070621,-6.824803932860959,-6.723578017670661,-6.61883695499273,-6.521554166058195,-6.432232568200561,-6.348271975381067,-6.270762736719917,-6.199340176870464,-6.132836495191441,-6.0704683296062285,-6.011826550602564,-5.956586407512077,-5.894782413772191,-5.837556528291316},
+{-6.859485420281999,-7.774588377840701,-7.756837255394203,-7.538075416137872,-7.319381567431265,-7.10809892891848,-6.955444183637155,-6.843724897466018,-6.742203701782273,-6.63714115935727,-6.53961481283477,-6.450032341206679,-6.365834804571932,-6.288122688914882,-6.216516613101703,-6.1498307857400505,-6.087291470859782,-6.0284894823271316,-5.973097075650003,-5.911118973774137,-5.853716322846594},
+{-6.878224905725801,-7.79625445142301,-7.778348750965961,-7.558945163094904,-7.339648940513143,-7.127776301596896,-6.9747070679295575,-6.862699564459035,-6.760881658046856,-6.65549673649366,-6.557726421902771,-6.467881886230316,-6.383447089800029,-6.3055318734113825,-6.233741612799349,-6.1668730476812925,-6.104162135568913,-6.045199508604128,-5.989654308577883,-5.927501757541904,-5.869921938414336},
+{-6.897019210497092,-7.817982435357408,-7.799920092787943,-7.579873419228534,-7.359973239712417,-7.147509045724291,-6.994023844687035,-6.881728091393597,-6.779612025493407,-6.67390384603641,-6.575889139669016,-6.485781349736499,-6.40110897514387,-6.322990437824046,-6.251015314730466,-6.183963422648958,-6.1210804646107135,-6.061956766643561,-6.006258235473069,-5.943930898632971,-5.886173519655131},
+{-6.915868487376429,-7.839772498686216,-7.821551445114892,-7.600860357269994,-7.380354630411603,-7.167297317442717,-7.013394669294939,-6.900810635605012,-6.798394952216768,-6.692362644898822,-6.59410310984822,-6.503730874290341,-6.41882060279022,-6.340498531455523,-6.268337853209232,-6.201102045204607,-6.1380465950933285,-6.078761387383565,-6.022908986269613,-5.960406532554771,-5.902471212364617},
+{-6.934772886066639,-7.861624808007036,-7.843242969502171,-7.6219061419251375,-7.400793271677685,-7.187141276241164,-7.032819688785821,-6.919947348214919,-6.81723058008356,-6.71087328507565,-6.6123684750346,-6.521730604625191,-6.436582115216879,-6.358056295561255,-6.285709352086997,-6.21828905462462,-6.155060659570154,-6.0956134995794855,-6.039606684164028,-5.97692878433736,-5.918815156444907},
+{-6.9537325597630115,-7.88353953211481,-7.864994831550575,-7.643010950741882,-7.421289329227875,-7.20704108173959,-7.052299064263934,-6.939138391884626,-6.8361190566647565,-6.729435927089071,-6.630685381998774,-6.539780689810868,-6.454393658699701,-6.375663880520733,-6.303129948995775,-6.235524589079432,-6.172122800984653,-6.112513239699183,-6.056351460865699,-5.993497791496338,-5.93520549677487},
+{-6.972747660547611,-7.905516840888595,-7.886807195238362,-7.664174951816676,-7.441842971515143,-7.22699689467845,-7.071832944726339,-6.95838391855068,-6.855060528891045,-6.748050727706868,-6.649053971748799,-6.55788127190317,-6.472255372296786,-6.393321430543438,-6.320599777289317,-6.252808787554386,-6.189233154829708,-6.129460733223823,-6.073143441361026,-6.0101136865559965,-5.951642377025564},
+{-6.991818340939062,-7.927556902250217,-7.908680223132251,-7.685398315916245,-7.462454358232208,-7.247008872567676,-7.091421485893079,-6.977684085373767,-6.874055137770483,-6.766717845777748,-6.667474392728764,-6.576032500961446,-6.49016740101797,-6.411029092210811,-6.338118970263167,-6.2701417894422775,-6.206391857893323,-6.146456117130583,-6.089982758334372,-6.026776601138408,-5.968125941886683},
+{-7.010944753797958,-7.949659887337475,-7.930614083270484,-7.706681217896403,-7.483123660102137,-7.267077178621548,-7.111064843847998,-6.997039053560002,-6.893103037189576,-6.785437443249975,-6.685946788318688,-6.594234523494379,-6.508129895300954,-6.428787014709087,-6.355687664574361,-6.287523733335547,-6.223599056451349,-6.163499526286614,-6.106869539114996,-6.0434866653668,-5.984656337546767},
+{-7.030127053134493,-7.971825965214521,-7.9526089397477335,-7.728023829768063,-7.503851038170978,-7.287201973507763,-7.130763175533502,-7.016448976894026,-6.9122043701208895,-6.804209677444305,-6.704471304095932,-6.6124874899105635,-6.526142997885472,-6.446595342451474,-6.37330599235429,-6.304954757462838,-6.240854884323198,-6.180591086027562,-6.123803917216719,-6.060244011270697,-6.001233704315382},
+{-7.049365392573236,-7.9940553080887184,-7.974664961140661,-7.749426325477543,-7.524636662463308,-7.307383417835808,-7.150516635243548,-7.035914015577873,-6.931359285095823,-6.823034711604123,-6.72304808604531,-6.630791547519038,-6.544206854974618,-6.464454222601489,-6.390974089386873,-6.322435005422449,-6.258159477583831,-6.197730930100079,-6.140786018353538,-6.077048771781847,-6.017858183637145},
+{-7.068659926582768,-8.016348086421203,-7.996782313872245,-7.770888879924314,-7.5454806989000645,-7.3276216745289275,-7.170325383340241,-7.055434328591218,-6.950567930369289,-6.841912707386655,-6.741677278128918,-6.649146845462383,-6.562321614954271,-6.482363801202155,-6.408692094366415,-6.339964614802739,-6.27551298410981,-6.214919192439993,-6.157815972692333,-6.093901076703332,-6.0345299184991745},
+{-7.088010810584819,-8.038704472397512,-8.018961165194924,-7.792411667680426,-7.566383314071572,-7.347916904749582,-7.190189575558179,-7.075010073851445,-6.96983045473462,-6.860843828966608,-6.760359026651713,-6.667553538762149,-6.580487422004808,-6.500324225125951,-6.426460144110024,-6.357543728852761,-6.292915542027913,-6.232156003505224,-6.174893911273102,-6.110801055066986,-6.051249052150524},
+{-7.10741819877876,-8.061124637861212,-8.041201683154213,-7.8139948630778235,-7.5873446776822675,-7.368269267943106,-7.21010937000392,-7.094641411022167,-6.989147005559062,-6.879828235687455,-6.779093476361595,-6.686011768309982,-6.598704426563927,-6.518335640139412,-6.444278374212445,-6.375172484782524,-6.3103672891593305,-6.249441498293891,-6.192019967013039,-6.1277488382474985,-6.0680157230526675},
+{-7.126882247081085,-8.08360875723156,-8.063504038924293,-7.835638645898143,-7.608364957966842,-7.388678936025826,-7.230084927403368,-7.114328497016686,-7.008517736016074,-6.89886609534733,-6.7978807760518976,-6.704521697552991,-6.616972779331263,-6.536398196141818,-6.462146922494867,-6.392851027441793,-6.32786836764717,-6.266775806550868,-6.209194269991713,-6.144744552584598,-6.084830068954034},
+{-7.146403111815744,-8.106157002192049,-8.085868399997707,-7.857343188552477,-7.629444321457413,-7.409146064470406,-7.250116406488814,-7.134071495514945,-7.0279427919886075,-6.917957570869476,-6.816721069088089,-6.723083471850259,-6.635292627412127,-6.554512034563231,-6.48006592944148,-6.41057949748938,-6.345418920143857,-6.2841590615717,-6.226416953999433,-6.161788331490243,-6.1016922334820265},
+{-7.165980948477227,-8.128769547212869,-8.108294936952007,-7.879108670531423,-7.650582938877051,-7.429670818703016,-7.270203968437272,-7.153870562615339,-7.047422327683307,-6.93710282977554,-6.835614503652323,-6.741697245932301,-6.65366412421281,-6.572677308038692,-6.498035540120327,-6.4283580395858735,-6.36301909154281,-6.301591397073935,-6.243688149188529,-6.178880303559708,-6.11860235084896},
+{-7.185615915397648,-8.15144656666962,-8.130783821754449,-7.90093526950659,-7.671780981137999,-7.450253366390825,-7.290347773654503,-7.173725861081039,-7.066956490307348,-6.956302035614499,-6.854561223721248,-6.760363172652433,-6.672087416693103,-6.590894159686286,-6.516055884654634,-6.446186795990798,-6.3806690173223615,-6.319072945276275,-6.261007986264303,-6.196020590999979,-6.135560562703176},
+{-7.205308168311603,-8.174188236152986,-8.153335225491901,-7.922823163724388,-7.693038619516301,-7.470893867808627,-7.3105479833175195,-7.193637551914435,-7.086545435260632,-6.975555354743847,-6.873561375861755,-6.779081405693432,-6.690562657677219,-6.609162736131111,-6.534127113991417,-6.4640659082942875,-6.398368843525532,-6.3366038416425,-6.278376601811033,-6.213209327557706,-6.152567000826821},
+{-7.225057865944109,-8.196994728998106,-8.17594931757776,-7.944772531394847,-7.714356021766434,-7.491592491627671,-7.330804758428712,-7.213605792960152,-7.106189308149624,-6.994862954947166,-6.892615107324673,-6.79785210051341,-6.70909000368556,-6.627483185700839,-6.552249363507144,-6.4819955169950845,-6.416118711116724,-6.354184217547299,-6.295794128760463,-6.2304466364730615,-6.169621799563174},
+{-7.244865165142983,-8.219866224142606,-8.198626275014249,-7.966783553099958,-7.7357333600957645,-7.512349398020888,-7.3511182644433575,-7.233630742804962,-7.12588826668798,-7.014225002072635,-6.911722562726936,-6.816675410736934,-6.7276696019252995,-6.645855651106103,-6.570422777440399,-6.4999757724726805,-6.433918760943925,-6.3718142041616375,-6.313260699491366,-6.247732644289499,-6.186725089282845},
+{-7.2647302257682895,-8.242802895525529,-8.221366267855046,-7.9888564090797445,-7.757170804645284,-7.533164758715429,-7.371488660661271,-7.253712566496688,-7.145642460382078,-7.033641665650066,-6.930883887165692,-6.835551489479258,-6.7463016117108054,-6.664280283934204,-6.588647499695071,-6.518006817132118,-6.451769141247496,-6.389493939394015,-6.330776449845871,-6.265067481188453,-6.2038770058134105},
+{-7.2846532060502796,-8.265804921131348,-8.244169471341593,-8.010991279661539,-7.77866853235173,-7.55403873596515,-7.391916114705964,-7.273851424353779,-7.16545204295835,-7.0531131134484895,-6.950099234411027,-6.854480498092016,-6.764986187510658,-6.682757229995332,-6.606923675877624,-6.5360887954739155,-6.469669987083762,-6.407223559028353,-6.348341513890773,-6.282451271166792,-6.22107767581474},
+{-7.30463426544884,-8.288872479453858,-8.267036060671671,-8.03318834627862,-7.800226713196025,-7.574971498033847,-7.412400785106001,-7.2940474773495225,-7.185317167488392,-7.072639511621674,-6.969368741789367,-6.873462587478571,-6.783723482192727,-6.701286632131087,-6.625251448567724,-6.554221851634793,-6.487621449341532,-6.425003194308374,-6.365956026726053,-6.299884141160874,-6.238327226557885},
+{-7.324673563394754,-8.312005745829083,-8.289966209435079,-8.055447790713515,-7.821845519443741,-7.595963213199866,-7.4329428429482505,-7.31430088786874,-7.2052379912056495,-7.092221034530667,-6.988692563434597,-6.892497920867754,-6.802513655857183,-6.719868639411288,-6.643630962818861,-6.572406131774187,-6.505623664372251,-6.442832982342225,-6.383620124266599,-6.317366215909715,-6.255625787802273},
+{-7.3447712605047855,-8.33520490177034,-8.312960094510345,-8.077769795476343,-7.843525125674205,-7.617014045928954,-7.453542449264205,-7.334611814789241,-7.225214662918006,-7.111857847354258,-7.008070839045104,-6.911586651505786,-6.821356865111738,-6.738503398490138,-6.662062369417981,-6.590641784190666,-6.523676779033849,-6.460713056658278,-6.40133394622535,-6.334897623964935,-6.272973477534833},
+{-7.364927517563046,-8.358470125225722,-8.336017892383097,-8.100154543906683,-7.865265705317142,-7.63812416397559,-7.4741997681121575,-7.354980420466745,-7.245247340717469,-7.131550117308507,-7.027503720091772,-6.930728934283252,-6.8402532648760825,-6.757191053155111,-6.680545806622831,-6.608928949674009,-6.541780932820984,-6.478643551468849,-6.4190976222162135,-6.352478490531212,-6.290370417031227},
+{-7.385142494713364,-8.381801594383433,-8.359139778498502,-8.122602219053078,-7.88706743401417,-7.659293737844564,-7.494914971743128,-7.375406870036386,-7.265336175027187,-7.151298020107788,-7.046991352151963,-6.949924933258444,-6.859203017447726,-6.775931747833965,-6.6990814277669415,-6.627267780859256,-6.559936270699836,-6.496624604580575,-6.436911293145386,-6.370108940434875,-6.307816732703941},
+{-7.405416355009947,-8.405199492663087,-8.382325934551773,-8.145113006292377,-7.908930488556507,-7.680522934781038,-7.515688220766606,-7.395891322390526,-7.28548132943979,-7.171101722386084,-7.066533880337374,-6.969174803351052,-6.878206282053725,-6.7947256357292645,-6.717669380363077,-6.645658421621192,-6.578142935410142,-6.514656355851912,-6.454775096819503,-6.387789106549462,-6.3253125398478005},
+{-7.425749258523865,-8.428663997889089,-8.405576534350985,-8.167687088556704,-7.930855041442555,-7.701811926992377,-7.536519683082588,-7.416433941398282,-7.305682953854557,-7.190961394298938,-7.08613145405252,-6.98847870460304,-6.897263221719186,-6.813572855477105,-6.736309808329679,-6.6641010189196095,-6.596401069167769,-6.532738935798989,-6.472689172194805,-6.4055191090737935,-6.342857957599335},
+{-7.446141368964163,-8.452195293313707,-8.428891761679552,-8.190324654031429,-7.952841268226621,-7.723160877882037,-7.557409529821598,-7.4370348905649735,-7.325941207862343,-7.210877208679449,-7.1057842172449455,-7.0078367982496275,-6.916373993706657,-6.832473558199126,-6.7550028639961965,-6.682595722231781,-6.614710816662409,-6.550872485458967,-6.4906536559719825,-6.423299079193384,-6.360453102883184},
+{-7.466592848482833,-8.47579356037022,-8.452271792943066,-8.213025886245305,-7.974889349468867,-7.744569964022958,-7.57835792475089,-7.457694330092636,-7.34625624740147,-7.230849333209335,-7.125492320556077,-7.027249243852566,-6.93553876412625,-6.851427884190343,-6.773748693638481,-6.701142679696204,-6.633072316995822,-6.5690571367013035,-6.508668684225995,-6.4411291450378485,-6.378098091765423},
+{-7.487103860337811,-8.49945898016449,-8.475716809407459,-8.23579097079346,-7.99699945973407,-7.766039351685322,-7.5993650363670895,-7.478412426717114,-7.366628229923663,-7.250877940052305,-7.145255908442778,-7.046716200362425,-6.954757694489672,-6.870435982185882,-6.792547449891572,-6.719742040600977,-6.651485714974115,-6.58729303367727,-6.52673439924547,-6.459009438258363,-6.3957930452306755},
+{-7.5076745683763875,-8.523191737869638,-8.499226995030767,-8.25862009935372,-8.019171778491,-7.7875692127563525,-7.620431038158131,-7.499189344001934,-7.387057314277627,-7.270963201837731,-7.1650751302804565,-7.066237829887541,-6.974030949888402,-6.889497999363812,-6.8113992819417035,-6.738393951614853,-6.6699511560145766,-6.605580313174869,-6.544850941078039,-6.476940087391995,-6.413538078893907},
+{-7.528305137027928,-8.546992014882562,-8.522802527950262,-8.281513454625383,-8.041406482690945,-7.8091597209713655,-7.6415560942550655,-7.5200252436770825,-7.407543659981457,-7.29110528662568,-7.184950132141239,-7.085814293008298,-6.993358694773633,-6.9086140761646675,-6.830304339047871,-6.757098566493369,-6.688468778957031,-6.623919111676514,-6.563018448126968,-6.4949212220235495,-6.431333313448704},
+{-7.54899572989234,-8.570859997234948,-8.54644359309168,-8.30447122908663,-8.06370375023107,-7.830811044928851,-7.6627403792663245,-7.540920289087808,-7.428087424777914,-7.311304369111895,-7.204881063924404,-7.105445753375534,-7.012741094673402,-6.927784365907428,-6.849262773423106,-6.775856029562419,-6.707038726715837,-6.642309568575001,-6.581237061589491,-6.51295297240722,-6.44917886708572},
+{-7.56974651269411,-8.594795868571964,-8.570150372841454,-8.327493607328506,-8.086063760478282,-7.8525233591062715,-7.683984058981878,-7.561874645776697,-7.44868877044064,-7.331560618564254,-7.224868067147327,-7.125132370885694,-7.032178315785131,-6.947009004550637,-6.86827473458834,-6.794666495465208,-6.7256611439806875,-6.660751823190367,-6.599506918049883,-6.531035476800753,-6.467074859756394},
+{-7.590557650975825,-8.618799814066733,-8.593923051732418,-8.35058078255679,-8.108486695593456,-7.874296835099813,-7.705287307340768,-7.582888480334077,-7.469347857069806,-7.351874207350193,-7.244911297631916,-7.144874307807186,-7.051670523869689,-6.966288145078579,-6.887340374523774,-6.8135301162838005,-6.744336172254407,-6.679246014886303,-6.617828160262434,-6.54916886499268,-6.485021419546683},
+{-7.611429310381936,-8.642872019539936,-8.617761814763071,-8.37373294151621,-8.130972734710667,-7.896131643647095,-7.726650292883278,-7.6039619546500035,-7.490064843557775,-7.3722453063383,-7.265010899791378,-7.164671726844972,-7.071217885139049,-6.985621928412002,-6.9064598478144035,-6.832447037537349,-6.763063954029349,-6.697792284496245,-6.636200930661289,-6.567353271137108,-6.503018663992407},
+{-7.632361656622379,-8.66701267236931,-8.641666847543092,-8.396950275579002,-8.153522057938972,-7.918027967054513,-7.748073188326089,-7.6250952344125835,-7.510839892915101,-7.392674087677733,-7.28516702070192,-7.184524792668526,-7.0908205699088285,-7.005010500753997,-6.925633299848414,-6.8514174149458995,-6.7818446306628175,-6.716390771034639,-6.654625368522829,-6.5855888314399635,-6.52106672503578},
+{-7.653354857233353,-8.69122195894306,-8.665638335573021,-8.420232977921842,-8.176134844761691,-7.939985971010174,-7.769556168132112,-7.646288487390848,-7.531673168035923,-7.413160724623594,-7.3053798109758645,-7.204433668113779,-7.110478747083107,-7.024454010068439,-6.944860888499534,-6.870441401610151,-6.80067834824149,-6.735041613996145,-6.673101616965141,-6.603875683562364,-6.539165732770925},
+{-7.674409079285397,-8.715500066391542,-8.689676465910452,-8.44358123683196,-8.198811278358335,-7.962005835186574,-7.791099402791588,-7.667541877628537,-7.55256483348785,-7.433705387462396,-7.325649416961824,-7.224398515885696,-7.130192584474571,-7.0439526023110375,-6.9641427693131845,-6.8895191487972625,-6.819565250523738,-6.75374495977303,-6.691629816079512,-6.622213968512369,-6.557315815080074},
+{-7.6955244904820574,-8.739847182951053,-8.713781425794878,-8.466995247275918,-8.221551543829264,-7.984087732198532,-7.812703065879759,-7.688855571032036,-7.573515052266885,-7.454308249914902,-7.345975991527666,-7.244419500319054,-7.149962251540273,-7.063506422098726,-6.983479089656612,-6.908650809113169,-6.838505475388956,-6.772500945691718,-6.710210110395565,-6.640603819512762,-6.575517112010857},
+{-7.71670125858509,-8.764263498189393,-8.737953406533052,-8.490475201484514,-8.24435582132719,-8.006231839506654,-7.8343673333583865,-7.710229737742338,-7.594523987703724,-7.47496948549815,-7.366359676991124,-7.264496784628136,-7.169787917242502,-7.083115615852876,-7.002870006283047,-6.927836537317489,-6.857499170771916,-6.791309716136311,-6.728842640470248,-6.6590453818498645,-6.59376975808118},
+{-7.7379395528842,-8.788749200612074,-8.762192594491353,-8.514021290291566,-8.26722429509391,-8.028438336594263,-7.856092374320724,-7.73166453972226,-7.61559180180484,-7.495689263305394,-7.38680062747153,-7.284630532027222,-7.18966975233343,-7.102780329878442,-7.022315670954413,-6.947076485055732,-6.876546476923977,-6.810171413177159,-6.747527550527593,-6.677538790419931,-6.612073894124478},
+{-7.759239542065188,-8.813304480754596,-8.786499181624094,-8.537633709813235,-8.290157147770515,-8.050707394315396,-7.877878369443351,-7.753160146618029,-7.636718666180968,-7.5164677558641415,-7.407298991543939,-7.304820912802825,-7.209607925309683,-7.122500710262102,-7.041816240234766,-6.966370808397187,-6.895647538025514,-6.829086176381679,-6.766264985213638,-6.696084188908571,-6.630429657932837},
+{-7.7806013957670075,-8.837929528315726,-8.810873356705997,-8.56131265409931,-8.313154564020806,-8.07303919410333,-7.899725489638513,-7.7747167254419765,-7.6579047417180846,-7.537305139601813,-7.427854916270007,-7.32506808382459,-7.229602609673748,-7.142276906830375,-7.061371864576358,-6.98571966176678,-6.914802499435609,-6.848054153291741,-6.785055084939813,-6.714681724042748,-6.648837199434638},
+{-7.802025283868716,-8.862624534471252,-8.83531531204062,-8.5850583188585,-8.336216731535387,-8.09543391490297,-7.921633914273116,-7.796334446727997,-7.679150199939613,-7.558201586245559,-7.448468558024615,-7.345372215466341,-7.249653976134141,-7.162109068362042,-7.080982706218492,-7.005123201015522,-6.934011504548835,-6.867075488131377,-6.803898000434856,-6.733331538984203,-6.667296662009903},
+{-7.823511376402166,-8.88738969215774,-8.859825241459475,-8.608870896248845,-8.359343833493767,-8.11789173266152,-7.943603818974225,-7.818013476906344,-7.7004552037251415,-7.579157267420669,-7.469140060944483,-7.365733469865518,-7.269762194366194,-7.181997338673682,-7.100648916879436,-7.0245815821690485,-6.953274696556036,-6.886150327758514,-6.822793872415787,-6.7520337753376225,-6.685808198613813},
+{-7.845059844876232,-8.912225191779726,-8.884403336203832,-8.632750585660688,-8.382536057193647,-8.140412830674904,-7.965635380081949,-7.839753985332209,-7.721819923026487,-7.600172356367693,-7.4898695775918895,-7.386152015358675,-7.289927436548169,-7.201941870385781,-7.120370652759448,-7.044094959012,-6.972592221660307,-6.905278811318567,-6.841742847129353,-6.770788581576198,-6.704371958971024},
+{-7.866670860305021,-8.93713122740155,-8.909049790134304,-8.656697583239293,-8.405793585683568,-8.162997384235496,-7.98772877502779,-7.8615561399492435,-7.743244524128386,-7.621247027287609,-7.510657259292202,-7.406628016658942,-7.3101498750038445,-7.2219428112584865,-7.140148070568102,-7.0636634874972515,-6.991964223445393,-6.924461088550743,-6.860745074678562,-6.789596103204531,-6.7229880948143546},
+{-7.8883445949686575,-8.962107992665551,-8.933764799607161,-8.68071208409674,-8.429116609404446,-8.185645575489616,-8.009884180792142,-7.8834201093704905,-7.764729176531546,-7.642381451674737,-7.531503255362622,-7.427161634463118,-7.330429679248482,-7.242000309852301,-7.159981327349669,-7.08328732274822,-7.011390849293093,-6.943697301612701,-6.879800693539437,-6.808456484795897,-6.741656756566954},
+{-7.9100812206670525,-8.987155680413707,-8.958548557813629,-8.704794286662946,-8.45250531466445,-8.208357587020146,-8.032101782067912,-7.905346066778293,-7.786274047481129,-7.663575803802814,-7.552407717521419,-7.447753038839437,-7.350767021969659,-7.262114516677684,-7.179870577485417,-7.102966624239343,-7.030872239236487,-6.962987601727946,-6.898909856550745,-6.827369875070872,-6.760378105609561},
+{-7.931880910582549,-9.012274486362003,-8.983401264529675,-8.728944390866673,-8.475959892966785,-8.231133598266752,-8.054381752328482,-7.927334181498736,-7.807879312545992,-7.684830259313458,-7.573370801474084,-7.468402394617442,-7.371162073264713,-7.282285585984937,-7.1998159871582175,-7.122701546715689,-7.050408544964739,-6.9823321381700225,-6.918072711690911,-6.846336430768133,-6.779152295770473},
+{-7.953743837540969,-9.037464605411515,-9.008323112066137,-8.753162591252476,-8.49948052871332,-8.253973795071943,-8.076724272861611,-7.9493846215627855,-7.829545132670319,-7.706144985786523,-7.594392655912088,-7.489109866655781,-7.391615009561065,-7.302513664399157,-7.219817704899469,-7.142492245460744,-7.069999908460886,-7.001731050040689,-6.937289407884236,-6.865356296446407,-6.797979485083488},
+{-7.97567017593974,-9.06272623391851,-9.033314301937935,-8.777449091605376,-8.523067411486409,-8.276878355449298,-8.099129526221077,-7.971497561928118,-7.851271683030063,-7.727520164160524,-7.615473433324951,-7.509875624557026,-7.412125998613192,-7.322798910696292,-7.239875894665602,-7.162338877504226,-7.089646478314535,-7.021184488738072,-6.956560089558479,-6.884429618046852,-6.816859829297755},
+{-7.997660098873894,-9.088059566536685,-9.058375031658215,-8.801804088856443,-8.546720733938855,-8.299847467933432,-8.121597694203956,-7.993673171513365,-7.873059134857613,-7.74895596447459,-7.636613287919317,-7.530699832102982,-7.432695212031831,-7.343141471865238,-7.259990715130698,-7.182241602102295,-7.109348399870214,-7.040692602604395,-6.975884908970329,-6.9035565537487855,-6.835793487698538},
+{-8.019713782079634,-9.113464802212548,-9.083505500209867,-8.826227783662034,-8.570440683382913,-8.322881310523371,-8.144128955405904,-8.015911622031126,-7.89490765487426,-7.770452560274862,-7.657812374964124,-7.551582655258244,-7.453322822402697,-7.363541504193563,-7.280162324968842,-7.202200573316077,-7.129105820480618,-7.06025554263033,-6.995264014956774,-6.922737252010847,-6.854780621797545},
+{-8.041831400536466,-9.138942138735729,-9.108705909951823,-8.850720378090045,-8.59422745462507,-8.345980071477243,-8.166723495276528,-8.03821308798797,-7.916817419099971,-7.79201012836711,-7.679070845406386,-7.572524261238868,-7.474009003650281,-7.383999163546832,-7.300390885939123,-7.222215948524536,-7.148918888589833,-7.079873455761117,-7.014697558013722,-6.941971867956454,-6.873821387940552},
+{-8.064013129471277,-9.164491773044574,-9.133976459008409,-8.875282070963294,-8.618081235079444,-8.369143938980415,-8.189381497140857,-8.060577739248401,-7.938788594387006,-7.813628838252043,-7.700388855591882,-7.593524817988509,-7.494753923863755,-7.40451460427721,-7.320676557865227,-7.242287884204416,-7.1687877515360015,-7.099546491794172,-7.034185689495644,-6.9612605506699765,-6.892915950724273},
+{-8.086259145624354,-9.190113904951431,-9.159317351834034,-8.899913067172747,-8.642002219465212,-8.39237309404416,-8.212103145458968,-8.083005752137979,-7.960821355809458,-7.835308866851847,-7.721766564063728,-7.614584492737777,-7.515557757506031,-7.425087983196136,-7.341019501167466,-7.262416536657838,-7.188712555391248,-7.119274797325488,-7.05372855947644,-6.980603453805088,-6.912064466785523},
+{-8.108569625226664,-9.215808733126323,-9.184728789536166,-8.924613566574408,-8.665990597219206,-8.41566772267106,-8.234888621518621,-8.105497297772672,-7.9829158760549035,-7.857050390521181,-7.743204121172312,-7.635703451538575,-7.536420677861315,-7.44571945547068,-7.361419877095614,-7.282602063758532,-7.208693452630541,-7.139058525848668,-7.073326319499756,-7.000000733823981,-6.931267094536452},
+{-8.130944745411398,-9.241576458902273,-9.210210976976668,-8.949383773535374,-8.690046564137447,-8.439028018547106,-8.257738115120446,-8.128052550688153,-8.00507232597738,-7.878853581452859,-7.7647016870905645,-7.656881864415482,-7.557342852145666,-7.466409182656207,-7.381877849678858,-7.302844623569399,-7.22873059057747,-7.158897827393957,-7.092979120890959,-7.019452544322121,-6.950524001775193},
+{-8.153384683799231,-9.267417281771486,-9.235764117111103,-8.974223889483255,-8.714170312683564,-8.462454159744084,-8.280651808498078,-8.150671684721601,-8.027290878162603,-7.900718612436322,-7.786259415894165,-7.678119894801057,-7.578324453366804,-7.487157318813843,-7.402393581054639,-7.323144367168425,-7.248824114576564,-7.178792849343154,-7.112687118933536,-7.038959035053267,-6.969835341064027},
+{-8.175889618498331,-9.293331403358025,-9.261388417347916,-8.999134120720555,-8.738362038944615,-8.485946343615069,-8.303629890375305,-8.173354875165387,-8.049571708397707,-7.922645661383285,-7.80787746871647,-7.699417717798497,-7.599365654721623,-7.5079640283220215,-7.422967230173526,-7.343501455092337,-7.26897417861619,-7.198743747518165,-7.13245046310476,-7.058520362799754,-6.989201279444387},
+{-8.198459728257149,-9.31931902582437,-9.287084081021021,-9.024114670231938,-8.762621934467461,-8.509504754008958,-8.326672548035276,-8.196102299058111,-8.071914989035577,-7.944634901010431,-7.829556002514437,-7.720775497553404,-7.620466627296992,-7.528829468370532,-7.443598964557168,-7.363916041678749,-7.289180932275485,-7.218750667525455,-7.152269308688119,-7.078136681331671,-7.008621974629932},
+{-8.22109519168589,-9.345380351114727,-9.312851316833985,-9.049165743490448,-8.786950195339159,-8.533129579547676,-8.349779968004441,-8.218914127966855,-8.09432089497568,-7.9666865075269016,-7.851295176849817,-7.742193403551937,-7.641627543242066,-7.549753801795305,-7.464288947492605,-7.384388285572641,-7.309444527272717,-7.2388137676462065,-7.172143806936219,-7.097808144768351,-7.028097584581701},
+{-8.243796188718989,-9.371515582490247,-9.338690332704573,-9.074287545503466,-8.811347018534434,-8.556821012331056,-8.372952341014752,-8.241790542539093,-8.116789601219352,-7.988800657403772,-7.8730951507313875,-7.763671607594006,-7.662848572945222,-7.570737190602813,-7.485037341495627,-7.404918340587756,-7.329765110800508,-7.258933195378631,-7.192074113379931,-7.117534908247762,-7.047628274885938},
+{-8.2665628996765,-9.397724926013325,-9.364601337336353,-9.09948028330109,-8.835812601653743,-8.580579244939145,-8.396189856124693,-8.264731718460098,-8.139321283786558,-8.010977524740156,-7.894956084273872,-7.785210278991144,-7.684129888613825,-7.591779798240168,-7.505844312967383,-7.4255063646123745,-7.350142837763997,-7.279109105526004,-7.212060383695643,-7.137317124681431,-7.06721420341637},
+{-8.289395504660206,-9.424008581903763,-9.390584539214615,-9.124744159998954,-8.860347137437202,-8.604404467638233,-8.419492700515548,-8.287737831124105,-8.161916116048815,-8.033217283475096,-7.916878141040797,-7.806809586909367,-7.705471663168282,-7.6128817865101155,-7.526710027523222,-7.4461525096267,-7.370577857625904,-7.299341651290888,-7.232102770838537,-7.157154947170056,-7.086855531932088},
+{-8.312294185168867,-9.450366758748714,-9.416640149211162,-9.150079387560254,-8.884950827981811,-8.628296869646874,-8.442861068091588,-8.310809057176812,-8.184574276485364,-8.055520112538943,-7.9388614810450235,-7.828469706611941,-7.726874064726871,-7.634043319951161,-7.547634648231906,-7.4668569360655965,-7.391070323908934,-7.319630981713999,-7.252201429364504,-7.177048527839361,-7.1065524160221685},
+{-8.335259122352,-9.476799659321841,-9.442768377572065,-9.175486169289798,-8.909623865853064,-8.652256645014859,-8.466295146427,-8.333945576683618,-8.20729594034492,-8.077886184983072,-7.9609062671952415,-7.850190802695579,-7.748337267126772,-7.65526456302905,-7.568618339209934,-7.487619797742809,-7.4116203884914285,-7.339977255833219,-7.272356514411513,-7.196998028943199,-7.126305015844991},
+{-8.358290498654242,-9.503307491235319,-9.468969436478801,-9.200964714982547,-8.934366454239353,-8.676283986540511,-8.489795131798019,-8.35714756984089,-8.230081286877976,-8.100315680436324,-7.983012666620198,-7.87197305499285,-7.769861442706315,-7.676545688693295,-7.589661273945239,-7.508441255558864,-7.432228206307627,-7.360380628859275,-7.29256818680733,-7.217003597164876,-7.146113489143318},
+{-8.381388496345608,-9.529890462828916,-9.495243541532545,-9.226515234287945,-8.959178790275473,-8.700379089583294,-8.513361213335884,-8.380415212974185,-8.252930491624284,-8.122808772313874,-8.005180837921216,-7.893816631330992,-7.7914467596274335,-7.6978868526930455,-7.61076361531741,-7.529321457288461,-7.452893929192214,-7.38084125664318,-7.3128365979209775,-7.23706539007253,-7.165977993878187},
+{-8.40455329859833,-9.556548778069555,-9.521590902644675,-9.252137932839105,-8.984061074923375,-8.724542148411274,-8.536993584653828,-8.403748684708262,-8.275843735420494,-8.145365638818475,-8.027410953131039,-7.915721705823671,-7.813093391232542,-7.719288228152436,-7.63192553143017,-7.550260564676137,-7.473617713272688,-7.401359290233813,-7.333161904272856,-7.257183557361714,-7.18589868779236},
+{-8.42778508939955,-9.583282647596207,-9.54801173506712,-9.277833023967105,-9.009013505550683,-8.748773357045138,-8.560692440441926,-8.427148168411804,-8.298821196032804,-8.167986458094674,-8.049703175289324,-7.937688458536286,-7.8348015090450644,-7.740749983378919,-7.653147192060715,-7.5712587326270295,-7.494399714079918,-7.42193488839257,-7.3535442676220555,-7.2773582582885865,-7.205875719999312},
+{-8.4510840530711,-9.610092279668606,-9.574506254779408,-9.303600716186338,-9.034036283846945,-8.773072909607436,-8.584457972887321,-8.450613839770085,-8.321863049583044,-8.190671404227032,-8.072057669836795,-7.959717054487555,-7.856571282696677,-7.762272284468054,-7.674428761485615,-7.592316116933944,-7.515240084263496,-7.442568207814475,-7.373983838348067,-7.297589641297236,-7.225909244894865},
+{-8.474450372712454,-9.636977882182691,-9.60107467857597,-9.329441218302236,-9.059129612549441,-8.79744100345124,-8.608290379648679,-8.474145884320023,-8.344969481026055,-8.21342065652425,-8.094474606754375,-7.981807675663731,-7.878402880989597,-7.783855299145216,-7.69577041323646,-7.613432875703438,-7.5361389806785155,-7.463259406926227,-7.394480782371829,-7.317877863635658,-7.245999413644313},
+{-8.497884235839592,-9.663939666803344,-9.627717223323998,-9.355354743122007,-9.084293692751089,-8.82187783603149,-8.632189854353783,-8.497744481428526,-8.36814066885563,-8.23623439365474,-8.116954154407722,-8.003960497822845,-7.900296478474047,-7.805499199545011,-7.717172317657969,-7.634609165004804,-7.557096560602076,-7.484008644911228,-7.415035254831309,-7.338223083876073,-7.266146374779055},
+{-8.52138582598127,-9.690977842612483,-9.65443410523585,-9.381341501604766,-9.109528726301505,-8.84638360500685,-8.656156592085608,-8.521409812776255,-8.391376793180825,-8.259112791842199,-8.139496484873234,-8.026175696533755,-7.922252245232812,-7.827204152592458,-7.738634638633812,-7.655845140121528,-7.57811298200977,-7.50481607785332,-7.435647416132269,-7.358625450899126,-7.286350277470774},
+{-8.544955330318771,-9.718092622286349,-9.68122554468573,-9.40740170769277,-9.134834915734245,-8.870958506246097,-8.680190792962094,-8.545142060378566,-8.414678037850535,-8.282056030118838,-8.162101768815774,-8.048453450770467,-7.9442703474196605,-7.848970334060141,-7.760157551878365,-7.677140959611279,-7.599188399704872,-7.525681864790386,-7.45631741991383,-7.379085118722287,-7.3066112608939875},
+{-8.568592936404457,-9.745284217133303,-9.70809176073817,-9.433535571399261,-9.160212465154473,-8.895602740172762,-8.704292651789729,-8.56894140834629,-8.438044583090232,-8.305064288710128,-8.184770177540486,-8.070793939230498,-7.9663509599195095,-7.8707979079772485,-7.781741228100145,-7.698496779805282,-7.620322974893497,-7.546606167554273,-7.477045432286104,-7.399602247867733,-7.326929471659241},
+{-8.592298829811625,-9.772552838214324,-9.735032972792396,-9.459743305531447,-9.18566157881287,-8.92031650415447,-8.728462363869767,-8.592808037123177,-8.461476611846592,-8.328137744116248,-8.207501882003271,-8.093197340684128,-7.98849424844957,-7.892687049024971,-7.803385834951769,-7.719912758315331,-7.641516861374839,-7.5675891447172035,-7.49783161203959,-7.420176990141044,-7.347305049057468},
+{-8.616073199082166,-9.799898699922778,-9.762049403347191,-9.48602512787329,-9.211182460945565,-8.945099999094964,-8.752700132652535,-8.616742136422545,-8.48497431112628,-8.351276576417149,-8.230297059300938,-8.11566383606987,-8.010700385231758,-7.914637927693548,-7.825091551494552,-7.7413890544412425,-7.662770222304971,-7.588630958343856,-7.5186761198419845,-7.440809506122605,-7.36773812994943},
+{-8.639916232903488,-9.8273220148767,-9.789141273926361,-9.512381246691803,-9.23677531607973,-8.969953427906148,-8.777006154152332,-8.640743883472169,-8.508537861343939,-8.374480965328985,-8.253155882892315,-8.138193607548601,-8.032969541061902,-7.936650714240386,-7.846858544362476,-7.762925823946716,-7.68408321464085,-7.609731767850462,-7.539579114381922,-7.461499953758903,-7.38822885202535},
+{-8.663828119788377,-9.854822998808231,-9.81630880710145,-9.538811881488073,-9.262440349004464,-8.994876985932933,-8.8013806289091,-8.664813467068598,-8.532167446843232,-8.397751090305974,-8.276078529044753,-8.160786835520412,-8.055301882093772,-7.9587255868682405,-7.868686986272223,-7.784523225520388,-7.705455998249818,-7.630891738925129,-7.560540762453456,-7.482248485539458,-7.408777347460273},
+{-8.687809048708004,-9.882401864822896,-9.843552226098836,-9.565317245243932,-9.288177768874448,-9.019870878531947,-8.825823754596058,-8.68895107107528,-8.55586325385957,-8.42108713221387,-8.29906517334166,-8.183443704547244,-8.077697577449726,-7.980862713317038,-7.89057705149753,-7.80618141607556,-7.726888732941006,-7.652111025367049,-7.581561219427385,-7.503055264271097,-7.429383751688874},
+{-8.711859209957765,-9.910058829489572,-9.870871756371344,-9.591897553749732,-9.313987779940362,-9.044935308469576,-8.850335733353859,-8.713156882949988,-8.57962546707131,-8.44448927231133,-8.322115999209927,-8.206164397386601,-8.100156798624084,-8.003062268137,-7.912528915476287,-7.827900561125716,-7.7483815800223965,-7.673389800096629,-7.602640652665286,-7.523920455627376,-7.4500481955037685},
+{-8.735978794495168,-9.937794108991511,-9.898267623095307,-9.618553022650303,-9.339870589203201,-9.070070474830572,-8.874916764892987,-8.73743108472263,-8.603454272262752,-8.4679576887429,-8.345231180253904,-8.22894910305331,-8.122679714346305,-8.02532442296797,-7.934542750692344,-7.849680814280873,-7.769934696771088,-7.694728219372337,-7.623779223649763,-7.544844208154245,-7.470770809391979},
+{-8.76016799241188,-9.965607920246839,-9.925740051141474,-9.645283868347178,-9.365826405686676,-9.095276584324893,-8.899567052314524,-8.761773865582654,-8.627349854752538,-8.491492563916836,-8.368410897091962,-8.25179800252954,-8.14526649081381,-8.047649356201873,-7.956618726384477,-7.871522331741289,-7.791548248278559,-7.716126447892748,-7.644977095071226,-7.565826692909468,-7.491551718339906},
+{-8.784426994912792,-9.993500479737122,-9.953289267781656,-9.672090308828047,-9.391855434791069,-9.120553838845808,-8.924286796696833,-8.786185413046042,-8.65131240435585,-8.515094082351425,-8.391655332801747,-8.274711285412195,-8.167917299128021,-8.070037242127,-7.978757021744968,-7.893425283487886,-7.8132223951251945,-7.73758465044375,-7.666234431162593,-7.586868063779548,-7.512391061070957},
+{-8.808755995305546,-10.021472005260875,-9.980915501757408,-9.698972562211566,-9.417957887824741,-9.14590244217834,-8.949076200762647,-8.81066591135459,-8.675342102811555,-8.538762421128922,-8.414964668278117,-8.297689140104922,-8.190632306155749,-8.092488249851158,-8.000957806332735,-7.915389822170255,-7.834957297993242,-7.759102993106353,-7.687551391296438,-7.607968490876374,-7.533288957609329},
+{-8.833155186206568,-10.049522716908541,-10.008618979700259,-9.725930846703704,-9.444133976794546,-9.171322601207066,-8.973935467685806,-8.835215550265275,-8.699439140575123,-8.562497766295564,-8.438339085740154,-8.320731757048634,-8.213411680597346,-8.115002561491565,-8.023221259572892,-7.937416108339676,-7.856753118947381,-7.780681639080285,-7.708928146603284,-7.629128127868171,-7.5542455440881895},
+{-8.857624759781174,-10.077652832609601,-10.036399934338988,-9.752965379753732,-9.470383907246287,-9.19681452246732,-8.998864801760647,-8.85983452067012,-8.723603705060668,-8.586300300565199,-8.461778770419187,-8.34383932298806,-8.236255590818473,-8.137580350929056,-8.045547553192591,-7.959504307233146,-7.878610022497014,-7.802320754650282,-7.730364856572123,-7.650347142480314,-7.575260950878146},
+{-8.882164910108258,-10.105862573000195,-10.064258592115948,-9.7800763813284,-9.496707891550614,-9.222378412741818,-9.0238644038036,-8.88452300557401,-8.747835979433148,-8.610170205283794,-8.485283906193217,-8.367012033777428,-8.259164209463052,-8.16022179297579,-8.067936863284558,-7.981654574658023,-7.90052816979005,-7.824020503976499,-7.751861689263023,-7.671625699076685,-7.596335307898698},
+{-8.906775830910192,-10.134152158636425,-10.092195185745368,-9.807264069648227,-9.523106139007723,-9.248014474360389,-9.048934481354081,-8.909281195621588,-8.77213615780056,-8.634107668185607,-8.508854679545038,-8.390250078955432,-8.282137696121936,-8.182927066285629,-8.090389359364053,-8.003867075720336,-7.9225077272130875,-7.845781052441453,-7.7734188076719875,-7.69296395542915,-7.617468753858702},
+{-8.931457718281308,-10.16252180961601,-10.12020994622435,-9.834528668303392,-9.54957886315242,-9.273722917845589,-9.074075236610952,-8.9341092826362,-8.796504423342412,-8.65811287026736,-8.532491277364898,-8.413553650971153,-8.30517623090418,-8.20569634581625,-8.112905219415552,-8.026141972310143,-7.944548855637549,-7.8676025663735345,-7.795036372976028,-7.714362077807891,-7.638661421398865},
+{-8.95621076671523,-10.190971748677839,-10.148303106820094,-9.861870396518498,-9.576126277213916,-9.299503950969665,-9.099286879369174,-8.959007455414394,-8.820940969220828,-8.682186000063666,-8.556193887954578,-8.436922949331347,-8.328279974666657,-8.228529817322851,-8.135484616286703,-8.048479426070116,-7.966651718947105,-7.889485217892798,-7.816714559143293,-7.735820232133847,-7.659913449722808},
+{-8.981035172284464,-10.21950219887367,-10.176474900290486,-9.889289472921519,-9.602748590157717,-9.325357782916399,-9.124569612176856,-8.98397590253444,-8.845445978193311,-8.706327238847734,-8.579962693620473,-8.460358165742946,-8.351449097084696,-8.251427649243851,-8.158127723625512,-8.070879598904867,-7.988816486889846,-7.9114291729347315,-7.838453526652302,-7.757338577808696,-7.681224983040011},
+{-9.005931131148827,-10.248113380817813,-10.204725560353836,-9.916786122805206,-9.6294460202771,-9.351284624164691,-9.149923641758505,-9.009014816416311,-8.870019647307345,-8.730536774193752,-8.603797891628346,-8.483859497500816,-8.374683771966374,-8.274390024569584,-8.180834719125414,-8.093342659092741,-8.01104332007526,-7.933434595252038,-7.860253443621332,-7.778917283911142,-7.702596163871931},
+{-9.030898841083399,-10.276805520945345,-10.233055321790744,-9.94436056750419,-9.6562187737145,-9.377284684131155,-9.17534917712328,-9.034124386293115,-8.894662160630105,-8.754814792991965,-8.627699670847505,-8.507427143747918,-8.397984166731476,-8.29741712663963,-8.203605773494928,-8.115868761364254,-8.03333239047788,-7.955501657052082,-7.882114474923583,-7.8005565142666455,-7.724027138858219},
+{-9.05593849876459,-10.30557884251175,-10.261464421884739,-9.972013030841481,-9.683067071557161,-9.40335816955485,-9.200846420266316,-9.059304802955012,-8.919373707467457,-8.779161482743802,-8.651668215708924,-8.53106129943626,-8.421350451011676,-8.320509129960556,-8.226441055972828,-8.138458077984978,-8.055683860351564,-7.9776305236591725,-7.904036787440418,-7.822256428509718,-7.745518055453431},
+{-9.081050302906078,-10.334433568401437,-10.289953094019438,-9.999743732449133,-9.70999112642312,-9.42950529405789,-9.226415583412745,-9.084556259389501,-8.944154478886048,-8.803577028709697,-8.675703722983599,-8.554762166677392,-8.444782794133062,-8.343666216896963,-8.249340746740927,-8.161110769302468,-8.078097895922838,-7.999821367120603,-7.92602054811141,-7.8440171982801985,-7.767069067267585},
+{-9.106234452905483,-10.363369928963948,-10.31852157972753,-10.027552902087336,-9.73699115497584,-9.455726271058666,-9.252056876808638,-9.109878950243,-8.969004669808783,-8.828061622130917,-8.699806383272517,-8.578529945458286,-8.468281368695898,-8.36688856726687,-8.272305019389023,-8.183827006039792,-8.100574669690104,-8.022074358988903,-7.948065924880211,-7.865838989266194,-7.788680332741933},
+{-9.13149114618136,-10.392388145439327,-10.347170110588195,-10.05544075742364,-9.764067371259443,-9.482021311618155,-9.27777050343866,-9.135273063438945,-8.99392446478305,-8.852615448253346,-8.723976392808254,-8.602364838894573,-8.491846348188119,-8.390176366418018,-8.295334040769376,-8.206606946216198,-8.123114349480602,-8.044389666552888,-7.97017308609793,-7.88772196546779,-7.8103520042059245},
+{-9.15682058443781,-10.421488446707372,-10.37589893063705,-10.083407530735712,-9.791219991268008,-9.50839062788873,-9.303556676051812,-9.160738794744248,-9.01891406244249,-8.877238697255962,-8.74821394160972,-8.626267046216526,-8.515477902663406,-8.41352979534713,-8.318427989070187,-8.229450759637984,-8.145717103645438,-8.066767459895345,-7.992342195400852,-7.909666292282054,-7.832084239897085},
+{-9.182222967305279,-10.450671061043977,-10.40470827781246,-10.11145344284887,-9.818449233978754,-9.53483443389996,-9.329415603540838,-9.186276335080038,-9.043973648702377,-8.90193156148598,-8.772519225007272,-8.650236770801712,-8.539176203179522,-8.436949032751727,-8.341587034839904,-8.252358612633543,-8.168383103417,-8.089207913624705,-8.014573421140085,-7.931672140548471,-7.853877207700862},
+{-9.207698496051307,-10.479936214687768,-10.433598391871783,-10.13957871918683,-9.845755318077863,-9.561352943695965,-9.35534749290673,-9.211885881915805,-9.069103417466977,-8.926694225301617,-8.796892439291696,-8.674274215023615,-8.562941422511358,-8.460434263499337,-8.364811351129902,-8.275330674645375,-8.191112513217377,-8.111711196237593,-8.03686693412601,-7.953739670483628,-7.875731069187168},
+{-9.233247372016194,-10.509284138359362,-10.462569514129427,-10.167783590310137,-9.873138458497124,-9.587946369705605,-9.381352560885716,-9.237567626783857,-9.094303564736038,-8.95152688291273,-8.821333780288114,-8.698379586290685,-8.586773738468764,-8.483985673621646,-8.388101115633617,-8.298367114999564,-8.213905513897771,-8.13427748423419,-8.059222903626505,-7.97586905733624,-7.897645991688478},
+{-9.258869797369698,-10.538715060654795,-10.491621885928907,-10.196068280230975,-9.90059887561074,-9.61461493220122,-9.40743101334374,-9.263321763501153,-9.119574280513916,-8.976429720190936,-8.845843443006743,-8.722553086496191,-8.610673322153161,-8.507603445119457,-8.411456490226556,-8.321468095644377,-8.236762269560131,-8.156906945296214,-8.081641490512993,-7.998060463301954,-7.919622137953411},
+{-9.284565975089208,-10.568229211028665,-10.520755751102115,-10.22443301952444,-9.928136789661949,-9.641358843116905,-9.433583064455888,-9.289148491632659,-9.144915763405152,-9.001402935289661,-8.870421627056203,-8.746794921215042,-8.63464035265497,-8.531287762787542,-8.434877656531171,-8.344633789762156,-8.259682955904282,-8.179599752242211,-8.10412287102372,-8.020314059074735,-7.941659683812759},
+{-9.310336108239426,-10.597826821016497,-10.549971351400018,-10.252878034094465,-9.955752418434713,-9.668178318039281,-9.459808922299999,-9.315048002681579,-9.170328202730161,-9.026446713498444,-8.895068528028787,-8.771105296807946,-8.658675001497613,-8.555038808641257,-8.45836478259298,-8.367864366955473,-8.282667744730134,-8.202356083333143,-8.126667210934102,-8.042630007883417,-7.963758797530318},
+{-9.336180401107413,-10.627508120902348,-10.579268930508988,-10.28140355386131,-9.98344598581025,-9.695073576789582,-9.48610880060005,-9.341020495616249,-9.195811796947964,-9.051561250598752,-8.919784347541281,-8.795484421774745,-8.68277744842635,-8.578856775086024,-8.481918041507015,-8.39116000093054,-8.305716810456943,-8.225176111329347,-8.14927467731468,-8.065008481193217,-7.985919657978229},
+{-9.362099058293097,-10.657273343385896,-10.608648733177688,-10.31000980627141,-10.011217708990443,-9.722044834226836,-9.51248291398224,-9.367066166349105,-9.221366738420329,-9.076746736027417,-8.944569282757584,-8.819932497834088,-8.706947872124147,-8.60274183913134,-8.505537609715248,-8.414520853883005,-8.328830324680894,-8.248060005862499,-8.17194544323138,-8.087449643440777,-8.008142426915583},
+{-9.388092284163577,-10.687122720657499,-10.638111007414409,-10.338697022540146,-10.039067812816938,-9.749092311554705,-9.538931471004616,-9.393185210908996,-9.246993224267499,-9.102003361433162,-8.969423532180372,-8.84444973396603,-8.731186446399079,-8.62669419478334,-8.529223650024505,-8.437947101760074,-8.352008462446975,-8.271007947347243,-8.19467967262608,-8.109953665727517,-8.030427287187194},
+{-9.414160284781246,-10.71705648623174,-10.667655995915993,-10.367465434770565,-10.066996513924096,-9.776216224767268,-9.565454687384772,-9.419377828628058,-9.272691454723827,-9.12733132269932,-8.994347298983485,-8.869036339252489,-8.755493357908563,-8.650714027578942,-8.552976343940827,-8.461438916099723,-8.375251404751907,-8.294020104134688,-8.217477538695675,-8.132520709652454,-8.052774413459701},
+{-9.440303266586852,-10.747074873826932,-10.697283948364202,-10.396315273450455,-10.095004041286302,-9.803416793292854,-9.592052777195931,-9.44564421880932,-9.298461620492162,-9.152730809728382,-9.019340784667293,-8.893692520112381,-8.779868783531128,-8.674801520974142,-8.576795860135462,-8.484996472951025,-8.39855931821512,-8.31709665840026,-8.240339211726678,-8.155150945924106,-8.075183983222814},
+{-9.46652143621759,-10.777178118281881,-10.726995110104326,-10.425246769504156,-10.123090618129936,-9.830694234216935,-9.618725952735986,-9.471984579198761,-9.324303923960542,-9.178202017123112,-9.044404186250176,-8.918418484405265,-8.80431290132401,-8.698956868320238,-8.600682370044524,-8.508619936037576,-8.42193238096661,-8.340237779557356,-8.26326485745085,-8.177844540696242,-8.097656169135007},
+{-9.492815001089184,-10.807366454042494,-10.756789731807658,-10.454260154103395,-10.151256461293087,-9.858048771508038,-9.64547442755429,-9.498399110671016,-9.350218558349297,-9.203745137274382,-9.069537708419375,-8.9432144373568,-8.828825900724041,-8.723180258297361,-8.624636052671121,-8.532309483285644,-8.445370771936723,-8.363443651527632,-8.286254649909097,-8.200601659307722,-8.120191156849614},
+{-9.519184170181688,-10.837640117955743,-10.7866680608131,-10.483355660777306,-10.17950180223852,-9.885480627519428,-9.672298416873673,-9.5248880150466,-9.376205725056934,-9.229360360957799,-9.09474155663338,-8.968080590173486,-8.85340796111268,-8.747471873735776,-8.648657071549678,-8.55606528588396,-8.468874667378259,-8.386714444233803,-8.309308758965926,-8.223422471535741,-8.142789119112422},
+{-9.545629150998138,-10.867999346010038,-10.816630349800107,-10.51253352528147,-10.207826862708316,-9.912990017721313,-9.699198135887855,-9.55145148820884,-9.402265621145489,-9.255047885220847,-9.12001592766319,-8.993017150773085,-8.878059266266064,-8.771831907652086,-8.672745604373631,-8.579887519066688,-8.49244424617791,-8.410050330479862,-8.332427354005631,-8.246307135923416,-8.165450238142512},
+{-9.572150153282564,-10.898444374892279,-10.846676846515038,-10.54179397864209,-10.236231867398601,-9.940577165529248,-9.72617379714211,-9.578089736227412,-9.428398443284095,-9.280807905059191,-9.145361027767649,-9.01802432576369,-8.90278000215767,-8.796260551724117,-8.6969018222444,-8.603776358024334,-8.516079680717667,-8.43345149612287,-8.355610603306559,-8.269255826162407,-8.188174693728797},
+{-9.598747387441108,-10.928975441740477,-10.876807803389966,-10.5711372566293,-10.264717048237799,-9.968242293936783,-9.753225618434954,-9.604802961825044,-9.454604395548813,-9.306640609909664,-9.170777066756273,-9.043102326104417,-8.927570356143406,-8.820757999521447,-8.721125902957283,-8.627731975066126,-8.539781153813237,-8.456918114272412,-8.37885868405283,-8.29226870254206,-8.210962669618311},
+{-9.625421063057729,-10.959592788931332,-10.907023473584559,-10.600563594372943,-10.293282622675179,-9.995985624904279,-9.780353813854163,-9.631591365658096,-9.48088367098535,-9.332546197838383,-9.19626423936279,-9.068251355973189,-8.952430514415028,-8.845324435795192,-8.74541801707528,-8.651754544916912,-8.563548844482284,-8.480450362883857,-8.402171766021638,-8.315345932001946,-8.233814345498104},
+{-9.652171391426236,-10.990296649019001,-10.937324109341716,-10.630073227061075,-10.321928827645024,-10.02380738343345,-9.80755860087811,-9.65845515205001,-9.507236477831611,-9.358524857758312,-9.221822758423514,-9.093471627507824,-8.977360664139269,-8.869960057447315,-8.769778337256867,-8.675844244789914,-8.587382930942113,-8.50404841962154,-8.42555001868459,-8.338487683126004,-8.256729902670486},
+{-9.678998584655346,-11.021087266970426,-10.967709963166271,-10.659666392064537,-10.350655882022693,-10.051707790931687,-9.834840193478158,-9.685394529005862,-9.533663011025055,-9.38457678949635,-9.247452824667562,-9.11876334673434,-9.002360995087656,-8.894665057203383,-8.794207040293259,-8.700001247736509,-8.611283592123073,-8.527712460461771,-8.448993613783387,-8.36169412106392,-8.279709525057115},
+{-9.705902855253953,-11.051964881145977,-10.998181291244691,-10.689343327045208,-10.379464020152227,-10.079687070159707,-9.86219880921999,-9.712409696163377,-9.560163473244756,-9.410702182969544,-9.273154642854934,-9.144126723040245,-9.027431695256382,-8.919439623176004,-8.818704296383657,-8.724225734258653,-8.63525100624247,-8.55144266365096,-8.472502725519007,-8.384965402379748,-8.302753395648324},
+{-9.732884414945147,-11.082929732976481,-11.028738347114995,-10.719104266318027,-10.408353471168084,-10.107745445871842,-9.889634663719335,-9.73950086327386,-9.586738060417701,-9.436901232591481,-9.298928421616438,-9.169561963324668,-9.052572953500203,-8.944283954391722,-8.843270281795412,-8.748517872882076,-8.65928535797866,-8.575239211626467,-8.496077526724548,-8.408301698902505,-8.325861695382628},
+{-9.759943479199137,-11.113982063965523,-11.059381388142356,-10.748949450833607,-10.437324461468961,-10.135883145660046,-9.917147977132117,-9.766668236770784,-9.61338698284817,-9.463174137548776,-9.324774366410566,-9.195069276349386,-9.077784966895706,-8.969198239094112,-8.867905176914064,-8.77287785380031,-8.683386829157826,-8.599102279069484,-8.519718191149877,-8.431703178430325,-8.349034612881951},
+{-9.787080260575749,-11.145122115616687,-11.090110669712885,-10.778879116813187,-10.466377222212031,-10.164100394787965,-9.94473896312411,-9.79391202199622,-9.640110436666873,-9.489521086754394,-9.35069268393272,-9.220648869973957,-9.103067922464106,-8.994182676600758,-8.892609148548217,-8.7973058445059,-8.707555597226019,-8.623032047806191,-8.543424889983726,-8.455170000044745,-8.372272319771582},
+{-9.814294974668883,-11.176350132998778,-11.120926450792467,-10.808893508045003,-10.495511983550387,-10.192397415739833,-9.972407839319203,-9.821232427450013,-9.666908627797966,-9.515942275160342,-9.37668358256633,-9.246300952421734,-9.128422015055548,-9.019237462896854,-8.917382376646856,-8.821802026242949,-8.73179185090703,-8.647028692023014,-8.567197798460256,-8.478702328546206,-8.395575003654812},
+{-9.8415878369633,-11.207666358022834,-11.151828989372007,-10.838992862729356,-10.524728980395594,-10.220774436893407,-10.000154827735969,-9.848629663596512,-9.693781756592216,-9.54243790259352,-9.402747266474762,-9.272025731115718,-9.153847438181401,-9.044362788874423,-8.942225036589662,-8.846366580110043,-8.756095768403611,-8.671092399599729,-8.591037090911414,-8.502300330001162,-8.418942842152319},
+{-9.868959062710928,-11.239071035641246,-11.182818542438326,-10.869177416985622,-10.55402844317723,-10.249231682842947,-10.027980140817817,-9.876103936665459,-9.720730027271202,-9.569008153921459,-9.428883942237007,-9.297823412853177,-9.17934438122029,-9.069558847972075,-8.967137303363415,-8.870999679566012,-8.780467532007606,-8.69522334098292,-8.61494294089789,-8.525964164873585,-8.442376010207226},
+{-9.896408869833976,-11.270564411926898,-11.213895370849059,-10.899447418923955,-10.583410599458148,-10.277769382766564,-10.055884002125822,-9.903655461515882,-9.747753644856857,-9.595653231066535,-9.455093817057787,-9.323694206032087,-9.204913042805856,-9.09482584016223,-8.99211935600033,-8.89570151620137,-8.804907328289119,-8.719421698624501,-8.638915523188189,-8.549694000335876,-8.465874692905345},
+{-9.923937474894046,-11.302146729867673,-11.245059733919334,-10.929803104809253,-10.612875687991618,-10.306387763441307,-10.083866628439864,-9.931284443169716,-9.774852810165612,-9.62237332186487,-9.481377100048121,-9.349638316882192,-9.230553615358076,-9.12016395945102,-9.017171367857372,-8.920472259414964,-8.829415337575483,-8.74368765471445,-8.662955012463499,-8.573490000329912,-8.489439058466814},
+{-9.95154509677377,-11.3338182381558,-11.276311894733226,-10.960244720423361,-10.642423939701985,-10.33508705123677,-10.111928239421104,-9.958991096282261,-9.802027734767762,-9.649168624760932,-9.507734000566415,-9.375655953612295,-9.256266295909882,-9.145573401299771,-9.042293515332858,-8.94531209570414,-8.85399175225757,-8.768021383948508,-8.687061586024356,-8.59735232674575,-8.513069287466351},
+{-9.97923195243493,-11.365579182238434,-11.307652114657685,-10.990772508041118,-10.672055591232493,-10.363867474836297,-10.14006905327551,-9.986775633020443,-9.829278618984972,-9.676039333236986,-9.534164722354035,-9.401747326424811,-9.282051281319582,-9.17105436208658,-9.067485980092897,-8.970221209383453,-8.8786367510329,-8.792423070161021,-8.711235418537399,-8.621281145140529,-8.536765552082215},
+{-10.006998262542766,-11.397429811317124,-11.339080654724967,-11.021386712032836,-10.701770877582021,-10.39272926709964,-10.168289294073475,-10.014638264387031,-9.856605674547609,-9.702985642157728,-9.560669477839838,-9.42791263734398,-9.30790876802348,-9.19660703887348,-9.092748940631282,-8.995199783777934,-8.903350521446555,-8.816892896589707,-8.735476688219933,-8.645276623559766,-8.560528027490363},
+{-10.034844246372813,-11.429370371814002,-11.370597779445234,-11.052087572796154,-10.731570030460716,-10.421672649754328,-10.19658917922061,-10.042579205692164,-9.884009100758703,-9.730007742138696,-9.587248470532359,-9.454152094287565,-9.333838948106859,-9.222231626568828,-9.118082574786968,-9.020247999680578,-8.928133251669351,-8.841431037086295,-8.759785567744984,-8.669338923806208,-8.584356881066924},
+{-10.062770124488452,-11.461401115433546,-11.402203753823414,-11.082875342763145,-10.761453290295321,-10.450697861320805,-10.224968929993338,-10.070598667123704,-9.91148911343771,-9.757105827273335,-9.613901911565335,-9.480465905144229,-9.359842025180114,-9.247928319848143,-9.14348705743032,-9.045366039616056,-8.952985125099076,-8.86603767631459,-8.784162236333941,-8.693468214347376,-8.608252286081552},
+{-10.090776118420763,-11.493522288132226,-11.433898839895846,-11.11375026058522,-10.79142089013476,-10.479805125447456,-10.25342877053481,-10.098696866407408,-9.93904591705359,-9.78428009543859,-9.640630010107998,-9.506854276143713,-9.38591819665453,-9.273697317228653,-9.168962573472527,-9.070554092773818,-8.977906334112049,-8.890712992317276,-8.808606874459656,-8.71766465397377,-8.632214412689791},
+{-10.118862449307926,-11.525734143404406,-11.46568330633454,-11.144712577675818,-10.821473070405773,-10.50899467447016,-10.28196892075357,-10.126874018693343,-9.966679725199356,-9.811530737031717,-9.667432972360984,-9.533317413108307,-9.412067657118314,-9.299538811217644,-9.194509302687948,-9.095812348925392,-9.002897063503042,-8.915457171417074,-8.833119654271286,-8.741928418676252,-8.656243428209564},
+{-10.147029340565496,-11.558036931004608,-11.497557418653741,-11.175762538478011,-10.851610069614253,-10.538266739065875,-10.3105896012421,-10.15513033705065,-9.994390743318945,-9.83885794863454,-9.694311007740907,-9.559855521671125,-9.438290608741227,-9.32545300143829,-9.220127421504003,-9.121140983799705,-9.0279574971064,-8.940270386257907,-8.857700759806903,-8.766259670126601,-8.680339496146189},
+{-10.175277014473977,-11.590430903510423,-11.529521443662816,-11.206900389879593,-10.88183212171134,-10.567621552720084,-10.339291038661031,-10.183466037677135,-10.022179186053108,-9.866261921051773,-9.72126432452933,-9.586468805515324,-9.464587249909528,-9.351440081882174,-9.245817120885476,-9.146540190966334,-9.053087829204742,-8.965152827324346,-8.88235036698461,-8.790658578116563,-8.704502787237288},
+{-10.203605696187878,-11.622916311549488,-11.561575649160659,-11.238126380078029,-10.912139471343835,-10.597059347332106,-10.368073452991666,-10.2118813394045,-10.050045264695655,-9.893742847794783,-9.748293132608524,-9.613157470870647,-9.49095778237097,-9.37750024649722,-9.271578572675935,-9.172010155132739,-9.078288245364092,-8.990104673081078,-8.907068656524643,-8.815125313820317,-8.728733459720388},
+{-10.232015607856738,-11.655493409693008,-11.593720304314047,-11.269440759861027,-10.942532352200942,-10.626580354073667,-10.396937070647255,-10.240376454778016,-10.077989197190618,-9.921300923699164,-9.775397642151802,-9.639921724505257,-9.51740240525396,-9.403633687223191,-9.297411960636964,-9.19755106921366,-9.103558938804781,-9.01512609970814,-8.931855804054067,-8.839660039782757,-8.753031681553693},
+{-10.260506976519537,-11.688162450736854,-11.625955678158789,-11.300843779943534,-10.973011008783942,-10.65618480592093,-10.425882112729596,-10.268951604055474,-10.106011190859135,-9.948936344182584,-9.802578059607185,-9.666761766638956,-9.543921317977947,-9.429840604076162,-9.323317474074429,-9.223163117421791,-9.128900089563103,-9.040217298010248,-8.956711992417695,-8.864262934308499,-8.777397616300732},
+{-10.289080027076125,-11.720923689063056,-11.6582820405456,-11.33233568634023,-11.00357568639447,-10.68587293800374,-10.454908804764273,-10.297607006839826,-10.13411146926228,-9.976649301679572,-9.829834599193418,-9.693677804534673,-9.570514725419343,-9.456121194161824,-9.349295291118324,-9.248846488262643,-9.154311897800653,-9.065378445957322,-8.981637405639049,-8.888934161019279,-8.801831424643751},
+{-10.317734986936557,-11.753777381585678,-11.690699664497515,-11.363916734117083,-11.034226615374791,-10.715644982963568,-10.484017373251845,-10.32634287775727,-10.162290242864401,-10.004439991083927,-9.8571674649138,-9.72067004215205,-9.597182828947552,-9.48247564441408,-9.375345601336448,-9.274601379642263,-9.17979454730812,-9.090609728067648,-9.006632223405177,-8.913673898583511,-8.826333270582836},
+{-10.3464720816919,-11.7867237823084,-11.723208819967113,-11.395587170612998,-11.06496405004873,-10.745501178127597,-10.51320804480929,-10.355159434853704,-10.190547736201552,-10.03230860248732,-9.884576874028426,-9.747738679856411,-9.62392583025212,-9.508904150876333,-9.401468585041584,-9.30042797238275,-9.205348230389063,-9.115911324799526,-9.031696625141194,-8.938482314842986,-8.850903316459153},
+{-10.375291539967293,-11.819763147039339,-11.75580978054495,-11.42734725162154,-11.0957882245566,-10.775441761143156,-10.542481041920837,-10.38405689963838,-10.2188841682364,-10.060255335702095,-9.912063034906168,-9.774883923382731,-9.650743937745574,-9.53540691229864,-9.42766443103028,-9.326326463662554,-9.230973141995491,-9.141283422213746,-9.056830792222172,-8.963359586836305,-8.87554172342061},
+{-10.404193590366049,-11.852895734715275,-11.78850281846826,-11.459197231059079,-11.12669938900217,-10.805466960009653,-10.57183659367729,-10.413035488731111,-10.24729975889204,-10.088280380601645,-9.939626152510755,-9.802105971917626,-9.677637345390394,-9.561984113504877,-9.45393332184176,-9.352297045377782,-9.256669463822618,-9.166726202500286,-9.082034910679795,-8.988305878971005,-8.900248653895687},
+{-10.43317846149148,-11.886121801726404,-11.82128820764774,-11.491137356992112,-11.157697782749892,-10.83557701446989,-10.60127492423635,-10.442095423277351,-10.275794727349421,-10.116383931148448,-9.96726644487353,-9.829405028765905,-9.704606263665482,-9.588635954045458,-9.480275443245773,-9.378339899587445,-9.282437393354485,-9.192239847470773,-9.107309162587626,-9.013321370788617,-8.925024271244183},
+{-10.462246384129685,-11.919441608159104,-11.854166224613436,-11.523167888924945,-11.188783652658458,-10.86577216720616,-10.63079626551189,-10.47123692331661,-10.304369304256397,-10.144566184593714,-9.994984124947223,-9.85678129644657,-9.731650899047963,-9.615362622702378,-9.50669099172228,-9.40445523627568,-9.308277124306187,-9.217824547871714,-9.132653735665372,-9.038406242529163,-8.949868738476653},
+{-10.491397587014944,-11.952855411698692,-11.887137143159634,-11.555289077557973,-11.21995724302542,-10.896052652256913,-10.66040084195265,-10.50046020980517,-10.333023712679278,-10.17282733535103,-10.02277939945634,-9.884234976241714,-9.758771457956755,-9.64216431658133,-9.533180147176608,-9.43064323568251,-9.334188840322895,-9.24348048667889,-9.158068805671064,-9.06356066747685,-8.974782215693267},
+{-10.52063230296335,-11.986363473624806,-11.920201242552139,-11.587501182133565,-11.251218800898641,-10.92641870751686,-10.690088883740827,-10.529765499319183,-10.361758180821198,-10.201167574210558,-10.05065248644678,-9.911766265548067,-9.78596814321645,-9.669041226850823,-9.55974309235171,-9.456904093560297,-9.360172740765847,-9.269207839970477,-9.183554563962389,-9.088784815568943,-8.999764868145576},
+{-10.549950762695516,-12.019966053281678,-11.953358796949033,-11.619804457790451,-11.282568574257311,-10.956870572423213,-10.71986061935604,-10.559153015492484,-10.390572932257783,-10.229587100577191,-10.078603595800814,-9.939375367961475,-9.813241162555641,-9.695993543355144,-9.586380028864369,-9.483238005341263,-9.386229014809942,-9.295006803964498,-9.209111194708385,-9.114078867220087,-9.024816857039696},
+{-10.579353199726029,-12.053663412909373,-11.98661008712952,-11.652199158736039,-11.314006810294813,-10.987408487329958,-10.749716275531682,-10.588622978088097,-10.419468203021097,-10.258086103727692,-10.106632942188298,-9.967062481911853,-9.84059072198579,-9.723021458412404,-9.613091136881849,-9.509645165118854,-9.412357853318099,-9.320877561112866,-9.23473888222361,-9.13944300301955,-9.049938344891416},
+{-10.608839846448973,-12.087455814471468,-12.01995539109339,-11.684685548418202,-11.345533755476936,-11.0180326935224,-10.779656090802746,-10.618175611452898,-10.44844422256574,-10.286664785380708,-10.134740742112626,-9.994827808288392,-9.868017034372315,-9.750125169361127,-9.639876609842759,-9.536125773185631,-9.438559455418726,-9.346820296748774,-9.260437817021739,-9.164877402363345,-9.07512949674856},
+{-10.638410937172011,-12.121343520091614,-12.053394986593048,-11.717263877450023,-11.377149659238057,-11.048743432751507,-10.809680286765797,-10.647811132032075,-10.477501224391744,-10.315323334754794,-10.162927206678432,-10.022671546015772,-9.895520306221442,-9.777304865245242,-9.666736633313121,-9.562680017901585,-9.464834005309967,-9.37283519693301,-9.286208176461514,-9.190382242493797,-9.100390471779974},
+{-10.668066706610261,-12.15532679381431,-12.086929156896076,-11.749934411491267,-11.408854770095786,-11.079540945313056,-10.839789096877212,-10.677529765162035,-10.506639442013693,-10.344061952811899,-10.19119255784608,-10.050593893654877,-9.923100745363627,-9.804560735967243,-9.693671400164021,-9.58930810081074,-9.491181701101596,-9.398922448744997,-9.312050154956523,-9.215957700798754,-9.125721438147593},
+{-10.697807389886293,-12.189405899858684,-12.120558182432433,-11.782697407077649,-11.440649339536321,-11.110425472288625,-10.869982754287776,-10.70733173332701,-10.535859112031176,-10.372880830735085,-10.21953700616723,-10.078595052051242,-9.950758560677059,-9.831892974325456,-9.720681101898663,-9.616010217927396,-9.517602734005777,-9.425082239991752,-9.337963937374298,-9.241603961592773,-9.15112255627173},
+{-10.727633222624718,-12.223581102429307,-12.154282345451065,-11.815553125430597,-11.472533621810726,-11.141397260449594,-10.900261491929996,-10.737217258632882,-10.565160475118319,-10.401780168584082,-10.24796077751671,-10.106675220726174,-9.978493965711095,-9.859301775781205,-9.747765929379966,-9.642786566575523,-9.54409730003681,-9.451314760139212,-9.363949716062052,-9.267321207444184,-9.176593995769508},
+{-10.75754444195627,-12.257852667258703,-12.188101927211392,-11.848501825763378,-11.504507857869612,-11.172456551750656,-10.93062553863274,-10.767186563403811,-10.59454376292706,-10.430760159535566,-10.276464079957805,-10.134834594937274,-10.006307169271167,-9.886787328548962,-9.774926078389399,-9.669637346174568,-9.570665588893462,-9.477620193647454,-9.390007670532214,-9.293109621823533,-9.20213591682841},
+{-10.787541284800682,-12.29222086093796,-12.22201721399324,-11.88154377003957,-11.536572311320924,-11.203603593079606,-10.961075131650432,-10.797239871069905,-10.62400922528468,-10.459821000695229,-10.305047138943337,-10.163073375879321,-10.034198382141767,-9.914349826984107,-9.802161731640808,-9.696562752418686,-9.59730779522215,-9.503998734755442,-9.416137995140161,-9.318969385843957,-9.227748488570796},
+{-10.817623989882122,-12.326685950742103,-12.256028488525772,-11.914679222172708,-11.568727224701433,-11.234838627526187,-10.9916105040611,-10.827377404973959,-10.653557095225551,-10.48896289098775,-10.333710173814325,-10.191391763757565,-10.06216782136471,-9.941989461571211,-9.829473090561805,-9.723562987404875,-9.624024115124485,-9.530450561171165,-9.442340875510126,-9.344900685100583,-9.253431879624259},
+{-10.847792795575515,-12.361248203436844,-12.290136037336197,-11.947908445843495,-11.600972860309412,-11.266161902080057,-11.022231889801333,-10.857599390015821,-10.683187621543766,-10.518186027009506,-10.362453403606196,-10.21978995866084,-10.090215695090592,-9.969706424453761,-9.856860344792949,-9.750638256140519,-9.650814744789386,-9.556975877872901,-9.468616501486395,-9.370903707836987,-9.279186257423135},
+{-10.87804794141266,-12.39590788797068,-12.324340145161841,-11.981231702113291,-11.633309468670632,-11.297573660500348,-11.052939521483495,-10.887906047617435,-10.712901046936167,-10.547490607612417,-10.391277050919598,-10.248268157869461,-10.118342213594588,-9.99750091083115,-9.88432368816575,-9.777788745879661,-9.677679868851556,-9.583574859425426,-9.494965064979624,-9.396978638455039,-9.305011795135215},
+{-10.908389667951269,-12.430665273685008,-12.358641103317495,-12.014649257238489,-11.665737302100752,-11.329074154113187,-11.08373363991268,-10.918297605210682,-10.742697619687533,-10.576876831793925,-10.42018134072714,-10.27682655872195,-10.146547599229962,-10.025373110285727,-9.911863324407022,-9.805014671204844,-9.704619692463893,-9.610247706441442,-9.521386755484855,-9.423125668196008,-9.330908661999274},
+{-10.938818215610809,-12.465520630037645,-12.393039194023004,-12.048161373852054,-11.698256621326436,-11.360663634011871,-11.114614475285634,-10.94877428925247,-10.772577582843951,-10.606344893516507,-10.449166492733639,-10.305465366109274,-10.174832061544294,-10.053323219151935,-9.939479438471608,-9.83231622632593,-9.731634399737231,-9.636994609754765,-9.547881760110613,-9.449344987806398,-9.356877029669704},
+{-10.96933382692805,-12.500474227563245,-12.427534708898747,-12.081768318719696,-11.730867674006731,-11.392342341074254,-11.145582267796271,-10.97933632117929,-10.802541187484167,-10.635894997321884,-10.4782327364519,-10.334184779901989,-10.203195813053753,-10.08135142386891,-9.967172227712581,-9.859693614969729,-9.758724193379749,-9.663815751759103,-9.574450266285567,-9.475636783317896,-9.38291707483586},
+{-10.999936743144644,-12.535526337771444,-12.462127937586047,-12.115470361648477,-11.763570723487646,-11.424110528445453,-11.176637254844536,-11.009983926735003,-10.832588680103072,-10.665527341363486,-10.507380295428447,-10.362984996754676,-10.231639071251266,-10.109457922779256,-9.994941894139629,-9.887147042987635,-9.785889265273,-9.690711334638763,-9.601092471566517,-9.50200125403353,-9.409028975613182},
+{-11.030627207997895,-12.570677233132301,-12.496819171181414,-12.149267765518744,-11.796366028225748,-11.455968448950443,-11.207779675838538,-11.040717338735703,-10.86272031403496,-10.695242129266262,-10.536609398564906,-10.391866223828401,-10.260162054357352,-10.13764291224652,-10.022788633039454,-9.914676708896877,-9.813129813177511,-9.717681543668732,-9.627808567864122,-9.528438588458812,-9.435212903888896},
+{-11.061405465239659,-12.605927185737528,-12.5316086991661,-12.183160798274912,-11.829253840784077,-11.487916350059095,-11.239009769677068,-11.071536777541041,-10.892936341289897,-10.725039559300058,-10.565920271590585,-10.420828657515813,-10.288764976896346,-10.165906578913564,-10.050712644937448,-9.942282816919032,-9.840446025773417,-9.744726574921515,-9.65459874246153,-9.554948985722149,-9.461469047499122},
+{-11.092271758614515,-12.641276469192235,-12.566496816056315,-12.217149730422534,-11.862234426109353,-11.51995448624075,-11.270327770820586,-11.102442473827978,-10.923237013761536,-10.754919833358144,-10.595313147379784,-10.449872503901133,-10.317448058689479,-10.194249121268513,-10.078714126575505,-9.969965576339746,-9.867838105885312,-9.77184662289801,-9.681463194428943,-9.581532641605008,-9.487797574111028},
+{-11.12322633452277,-12.676725357901887,-12.601483813545201,-12.251234831710462,-11.895308034261689,-11.552083108836086,-11.301733926637098,-11.133434656439931,-10.95362258508976,-10.784883157393779,-10.624788260960486,-10.47899796787533,-10.34621151938336,-10.222670735209249,-10.106793278187979,-9.997725188091863,-9.895306245278334,-9.799041879974538,-9.708402106974972,-9.608189755643252,-9.514198676741216},
+{-11.154269438971824,-12.712274126897682,-12.63656998485385,-12.2854163688462,-11.928474935470149,-11.584302468283568,-11.333228473420604,-11.164513549636467,-10.984093308376032,-10.814929730579024,-10.65434583518072,-10.508205246616853,-10.375055568409152,-10.251171608979348,-10.134950303268852,-10.025561854447005,-9.922850640810793,-9.826312536926707,-9.735415683244355,-9.634920517913997,-9.540672533825273},
+{-11.185401317510696,-12.747923050206737,-12.671755624367506,-12.319694612771855,-11.961735384407802,-11.616612820551381,-11.364811654682853,-11.195679384487448,-11.014649438933702,-10.845059760831646,-10.683986107527744,-10.537494551332202,-10.403980432252865,-10.279751942609437,-10.163185397163033,-10.05347578015062,-9.950471486663446,-9.853658794047078,-9.762504110694863,-9.66172514038044,-9.567219329503132},
+{-11.216622219064448,-12.783672407676931,-12.707041031535482,-12.354069836816052,-11.99508964396955,-11.649014421229367,-11.396483711650944,-11.226932397388737,-11.045291238246136,-10.875273448997177,-10.713709317758912,-10.566866087232484,-10.432986333791632,-10.308411929989234,-10.191498769650934,-10.081467180105392,-9.978168986912351,-9.881080849532736,-9.789667589910096,-9.688603821094148,-9.593839252978796},
+{-11.247932390877395,-12.819522473713732,-12.74242649890948,-12.38854231062578,-12.028537977996166,-11.681507525907364,-11.428244889335474,-11.258272811144707,-11.076018956533517,-10.905571007780964,-10.743515698210103,-10.596320058772108,-10.4620734861237,-10.337151770916535,-10.219890622334788,-10.109536254953127,-10.005943328083958,-9.90857889628387,-9.816906315099914,-9.715556765877409,-9.620532484783325},
+{-11.279332082543988,-12.855473527029972,-12.777912325967918,-12.423112308300915,-12.06208064405655,-11.714092388356221,-11.4600954305497,-11.28970085727633,-11.106832856603432,-10.935952637693845,-10.77340548945358,-10.62585667410167,-10.491242114367196,-10.365971656196052,-10.248361152305733,-10.137683210050454,-10.033794714981923,-9.936153125192504,-9.844220479018986,-9.742584175954107,-9.647299220669083},
+{-11.310821543513157,-12.891525848594029,-12.813498811534373,-12.457780103519326,-12.095717910124222,-11.746769264893373,-11.492035579460207,-11.321216769050807,-11.137733190509607,-10.966418547934154,-10.803378924872959,-10.655476139421808,-10.520492438023211,-10.394871778902598,-10.276910572283668,-10.165908246126492,-10.061723340448225,-9.963803741062293,-9.871610278234584,-9.769686258747242,-9.674139640381327},
+{-11.34240102343756,-12.927679712345707,-12.84918625242426,-12.492545966510079,-12.129450042019016,-11.77953841019189,-11.52406557937502,-11.35282077906595,-11.168720222791308,-10.996968949446455,-10.833436251676176,-10.685178668238223,-10.549824681249447,-10.423852346022613,-10.30553908267757,-10.194211578200338,-10.089729409344727,-9.99153094177018,-9.899075914203422,-9.796863224444678,-9.70105394217535},
+{-11.37407077478565,-12.96393540360441,-12.884974949847674,-12.527410175796831,-12.163277297600871,-11.81240008745226,-11.556185683220974,-11.384513123746729,-11.199794213738642,-11.02760405279696,-10.863577709591482,-10.714964470476843,-10.579239068814786,-10.452913552115206,-10.334246894868556,-10.222593418089673,-10.11781311503728,-10.01933492536773,-9.92661758203758,-9.82411528925877,-9.72804231607006},
+{-11.405831048490654,-13.000293199555017,-12.920865205218433,-12.562373003704124,-12.197199947186164,-11.845354555378435,-11.58839613274904,-11.41629403384286,-11.23095541827206,-11.058324064302724,-10.893803543120157,-10.744833756500157,-10.60873581978376,-10.482055593864061,-10.363034209964098,-10.251053966232575,-10.145974656916223,-10.047215887898346,-9.954235481854994,-9.851442657673033,-9.755104950920213},
+{-11.437682097799552,-13.036753384920303,-12.956857319935807,-12.597434726456413,-12.231218254222767,-11.878402067217394,-11.620697175516398,-11.448163743378245,-11.262204098893562,-11.089129197003786,-10.924113995890366,-10.774786739930278,-10.638315157819306,-10.511278668156592,-10.391901235096157,-10.279593428276712,-10.174214232043596,-10.075174023397267,-9.981929808389395,-9.878845545026707,-9.78224203796708},
+{-11.46962417531904,-13.073316239519045,-12.992951597290812,-12.632595623930683,-12.265332487528212,-11.911542885223753,-11.65308906174323,-11.480122491135262,-11.293540519836824,-11.120019666937878,-10.954509314411553,-10.804823635233333,-10.667977310426068,-10.540582977817394,-10.42084818179137,-10.308212020201609,-10.202532043302199,-10.103209542838158,-10.009700767608592,-9.90632416633889,-9.809453778521856},
+{-11.501657536937273,-13.109982048539678,-13.029148340647225,-12.66785597067792,-12.299542916647624,-11.944777272932697,-11.685572039423278,-11.512170507689007,-11.324964937084587,-11.150995684962254,-10.984989746910287,-10.834944657224696,-10.697722496464849,-10.569968722498743,-10.449875255784718,-10.336909942998318,-10.230928290722659,-10.131322638015263,-10.037548555061221,-9.933878739946522,-9.836740360304248},
+{-11.533782435886678,-13.146751093765488,-13.065447854809463,-12.703216042893473,-12.333849802569603,-11.978105485162814,-11.718146357030491,-11.544308034150163,-11.35647761222208,-11.182057465950493,-11.015555542631773,-10.865150019672,-10.727550942829112,-10.599436097516445,-10.478982670843834,-10.365687409008387,-10.259403173433384,-10.159513513906859,-10.065473367983941,-9.961509483400732,-9.864101979677798},
+{-11.56599912886304,-13.183623661665479,-13.101850444159936,-12.738676120818127,-12.368253419772373,-12.011527789174579,-11.750812268714071,-11.576535306259757,-11.388078809366561,-11.21320522663882,-11.046206948783947,-10.895439942163648,-10.757462874345947,-10.628985312243458,-10.508170628541848,-10.394544627488358,-10.287956889689667,-10.187782368215267,-10.093475414556451,-9.989216612506425,-9.891538832103834},
+{-11.598307871623547,-13.220600037137046,-13.138356415278395,-12.7742364849546,-12.402754034716054,-12.045044445840176,-11.783570022773347,-11.60885256313486,-11.419768789695809,-11.244439185218653,-11.076944220083533,-10.925814642483601,-10.787458517937921,-10.658616562082898,-10.53743934672093,-10.42348180746194,-10.316589644353371,-10.216129396518227,-10.121554891695268,-10.017000351945171,-9.919051118718926},
+{-11.630708922391932,-13.257680506270844,-13.174966078877333,-12.809897417086177,-12.437351920685614,-12.078655714387423,-11.816419873925042,-11.64126004226273,-11.451547813921934,-11.275759561685845,-11.107767606154084,-10.956274341442622,-10.81753809255315,-10.68833005183842,-10.566789031930966,-10.452499160688603,-10.345301640219986,-10.244554814504227,-10.149712001148146,-10.044860919268103,-9.946639034547843},
+{-11.663202538788028,-13.294865355375805,-13.211679737229133,-12.845659191603772,-12.472047345640021,-12.112361858788063,-11.849362073611701,-11.673757984593976,-11.48341614549281,-11.307166572165443,-11.138677361101145,-10.986819257144816,-10.84770182496868,-10.718125983519712,-10.59621989930747,-10.481596884754254,-10.374093074147822,-10.273058808787027,-10.177946948388126,-10.07279853709042,-9.974302780348808},
+{-11.695788979552162,-13.332154873700347,-13.248497705571936,-12.881522094816319,-12.506840580215794,-12.146163146637264,-11.882396875618724,-11.706346626917366,-11.515374046895886,-11.338660438690567,-11.169673739932477,-11.017449612845667,-10.87794994621072,-10.748004561755806,-10.625732161104679,-10.510775204835227,-10.402964154753136,-10.301641590544023,-10.206259936996503,-10.100813432916766,-10.002042555657681},
+{-11.728468504385091,-13.369549348019063,-13.285420290063485,-12.917486404912779,-12.541731898425496,-12.1800598413829,-11.915524533600546,-11.739026213152101,-11.547421778988792,-11.370241384516703,-11.200756995473057,-11.048165628715651,-10.908282673131907,-10.77796599076828,-10.655326029343996,-10.540034321777057,-10.431915075081633,-10.330303360911785,-10.234651166800177,-10.128905823803507,-10.029858558817068},
+{-11.761241373453231,-13.407049068133347,-13.322447801576345,-12.953552407940151,-12.576721572244423,-12.2140522042464,-11.94874530438392,-11.77179698436521,-11.579559605102986,-11.401909631706076,-11.231927387154428,-11.078967533743707,-10.938700234837597,-10.808010473032482,-10.685001714358805,-10.569374448386952,-10.460946049512131,-10.359044318058295,-10.263120838528266,-10.157075934694149,-10.057751001935685},
+{-11.794107847708801,-13.444654323582654,-13.35958055422816,-12.98972038795182,-12.611809874913888,-12.24814050324494,-11.982059443325852,-11.804659178247675,-11.611787786678178,-11.43366541035357,-11.26318517155596,-11.109855545597384,-10.969202850974398,-10.838138217281085,-10.714759436348686,-10.598795794561738,-10.490057275106665,-10.387864671793068,-10.291669166879728,-10.185323993035126,-10.085720085102366},
+{-11.827068190024875,-13.482365406802273,-13.396818858600454,-13.02599062435911,-12.646997081508744,-12.282325001331628,-12.01546720789338,-11.83761304320069,-11.644106587598799,-11.465508941124426,-11.294530604965985,-11.140829892159672,-10.999790748406667,-10.86834942776477,-10.74459940532688,-10.628298569557955,-10.519248959200922,-10.416764623019844,-10.320296351419529,-10.213650216610404,-10.113766011869302},
+{-11.86012266218313,-13.520182608204777,-13.434163029465708,-13.062363405973883,-12.68228346350952,-12.316605970510864,-12.048968856179272,-11.870658815896604,-11.676516269362764,-11.497440454026219,-11.325963942450471,-11.171890800644178,-11.030464152892819,-10.898644313536352,-10.774521841231035,-10.657882981497096,-10.548521305667236,-10.445744376978837,-10.349002598173684,-10.242054838541662,-10.141888993850444},
+{-11.893271527333127,-13.558106219788897,-13.471613382484065,-13.09883901529247,-12.717669302699505,-12.350983672658913,-12.082564643438673,-11.903796742786653,-11.709017095214222,-11.52946017490467,-11.35748544940725,-11.203038496605586,-11.061223283584695,-10.929023078962928,-10.804526958090719,-10.68754924464156,-10.577874520851765,-10.47480413885205,-10.377788113604765,-10.270538072567433,-10.170089232327882},
+{-11.926515051338356,-13.59613653588167,-13.509170231409371,-13.135417742319987,-12.75315486760519,-12.385458380245836,-12.116254832857521,-11.937027067615418,-11.741609329881612,-11.561568341770908,-11.389095385035034,-11.234273211244727,-11.092068371392088,-10.959485934203258,-10.834614974242868,-10.7172975713911,-10.607308810926042,-10.503944114869228,-10.406653105397709,-10.299100151722087,-10.198366944183363},
+{-11.959853498075972,-13.634273847957957,-13.546833892018185,-13.172099871808314,-12.78874043788528,-12.420030351684545,-12.150039683576324,-11.97035003072233,-11.774293231486809,-11.59376517709461,-11.420794003177434,-11.265595166536514,-11.122999626357341,-10.990033080161083,-10.864786105055828,-10.7471281659964,-10.636824379122118,-10.53316450843704,-10.435597777366638,-10.3277412908501,-10.226722337392857},
+{-11.993287133285776,-13.672518451727228,-13.584604684045189,-13.208885689338786,-12.824426292791031,-12.454699862093548,-12.183919453833369,-12.003765879606362,-11.807069063972449,-11.626050920545822,-11.452581567980815,-11.297004595893668,-11.154017279535765,-11.020664734794991,-10.895040567324031,-10.777041240595281,-10.666421434521908,-10.562465525639709,-10.464622336323373,-10.356461719202343,-10.255155621882295},
+{-12.026816224926733,-13.71087064484891,-13.622482924518408,-13.245775484261685,-12.86021270841593,-12.489467181585496,-12.217894408706343,-12.03727486077696,-11.839937092998298,-11.658425800735131,-11.484458343766164,-11.328501730051357,-11.185121555783553,-11.051381104887696,-10.925378589163302,-10.807037013932131,-10.69610018961248,-10.591847383155255,-10.49372700470849,-10.385261657531373,-10.283667010371573},
+{-12.06044103847671,-13.749330720398575,-13.660468932939693,-13.28276954597095,-12.896099965801113,-12.524332575732842,-12.251964808645425,-12.070877219521208,-11.872897577501135,-11.69089006082504,-11.51642458641436,-11.360086799424607,-11.21631267038174,-11.082182399579324,-10.955800381751033,-10.837115691771032,-10.725860846199794,-10.621310282644117,-10.522911974665476,-10.414141327724792,-10.31225670920685},
+{-12.094161843902839,-13.78789897770912,-13.698563029029174,-13.319868165592197,-12.932088338915491,-12.559296313251252,-12.286130915948888,-12.104573194112163,-11.905950782966102,-11.72344393125968,-11.548480558383744,-11.391760032507591,-11.24759084507241,-11.113068826816743,-10.986306164064445,-10.86727748339763,-10.755703615373932,-10.65085442995769,-10.552177462377585,-10.44310095248511,-10.340924939810066},
+{-12.127978910561069,-13.82657571278105,-13.73676553167752,-13.357071627789992,-12.968178111725138,-12.594358661590377,-12.320392994763097,-12.138363036327064,-11.939096967922524,-11.756087649788242,-11.580626521259546,-11.423521658784011,-11.278956301772268,-11.144040597457206,-11.016896164073842,-10.89752260223031,-10.785628706624266,-10.680480039765825,-10.581523675558856,-10.472140743222553,-10.369671911292244},
+{-12.161892506177537,-13.865361224292428,-13.775076766192797,-13.394380229205126,-13.004369567614049,-12.629519896829152,-12.354751310427673,-12.172246993373847,-11.9723363982921,-11.788821461726911,-11.612862737645628,-11.4553719185933,-11.310409262630856,-11.17509792704368,-11.047570598952007,-10.927851259533782,-10.815636332379654,-10.710187325108564,-10.61095082529937,-10.50126093334984,-10.398497836082242},
+{-12.19590290391352,-13.904255814370117,-13.813497051538434,-13.43179425993003,-13.040662982457434,-12.664780285747838,-12.389206131221727,-12.206225310539594,-12.005669335834682,-11.821645604330115,-11.645189469360048,-11.487311040895293,-11.341949947673129,-11.206241027277429,-11.078329693700653,-10.958263674285263,-10.845726700790692,-10.739976487326203,-10.640459126589121,-10.530461739981547,-10.427402926317882},
+{-12.230010373546975,-13.943259779654909,-13.852026716354885,-13.469314009911614,-13.077058643044438,-12.700140101616853,-12.423757717158878,-12.240298235439695,-12.039096043998143,-11.854560321487952,-11.677606974059017,-11.51933926017955,-11.373578575876309,-11.237470107298577,-11.109173666482093,-10.988760049454868,-10.87590002414072,-10.769847744581057,-10.670048785337713,-10.559743370104115,-10.456387397862272},
+{-12.264215189003153,-13.982373423481476,-13.890666081133531,-13.506939775004867,-13.113556826108834,-12.735599614403327,-12.45840634018532,-12.274466014176141,-12.072616782767,-11.887565853772685,-11.710115519614192,-11.5514568084036,-11.405295368196676,-11.268785381835187,-11.140102740522707,-11.019340606260812,-10.906156512734015,-10.799801307613961,-10.699720012256876,-10.589106057712343,-10.485451469372492},
+{-12.298517621791689,-14.021597044673399,-13.929415472463006,-13.54467184888199,-13.150157822456094,-12.771159090771107,-12.493152264156379,-12.308728896430694,-12.106231813289924,-11.92066244475427,-11.742715361702722,-11.58366391994059,-11.437100539013045,-11.30018706311239,-11.171117144083837,-11.050005549535854,-10.936496376612922,-10.829837385419523,-10.72947302038665,-10.61855000659125,-10.5145953471947},
+{-12.33291794724937,-14.060930949737667,-13.96827521630621,-13.582510524793179,-13.186861913680332,-12.806818810495315,-12.527995758748148,-12.343087128101615,-12.1399413991021,-11.953850348276319,-11.775406768778339,-11.61596083722543,-11.46899431454949,-11.331675368943252,-11.202217099285917,-11.08075509799528,-10.966919836821035,-10.85995619968162,-10.759308020118624,-10.648075442615664,-10.543819260667078},
+{-12.367416439155932,-14.100375439826166,-14.007245640197652,-13.620456095450209,-13.223669378799968,-12.842579038071563,-12.562937090493506,-12.377540958841564,-12.173745800741017,-11.987129799555987,-11.808189997827867,-11.648347789945547,-11.500976910116151,-11.363250513531966,-11.233402830810519,-11.111589460721007,-10.99742709932616,-10.89015795616433,-10.789225224085385,-10.677682580426335,-10.573123411042616},
+{-12.402013373808586,-14.139930818317225,-14.046327071511769,-13.658508859472931,-13.260580509828287,-12.878440050320933,-12.597976532037137,-12.41209063999122,-12.207645282847807,-12.020501052611507,-11.841065309388796,-11.680825014569564,-11.533048542245524,-11.394912716030376,-11.26467455967213,-11.142508859746158,-11.028018379234709,-10.920442870585248,-10.819224843202392,-10.707371635071468,-10.602508019772358},
+{-12.436709026951576,-14.179597392780124,-14.085519838772598,-13.696669112832751,-13.297595589188859,-12.91440211769077,-12.633114348602248,-12.446736416139174,-12.24164010482491,-12.053964358201483,-11.874032966094092,-11.713392752368236,-11.565209434658755,-11.426662187586771,-11.296032521757297,-11.173513501416892,-11.058693889004644,-10.950811155344127,-10.849307092896197,-10.737142825761111,-10.631973308714805},
+{-12.471503676613793,-14.2193754658947,-14.12482427235227,-13.734937154571526,-13.3347149064939,-12.950465512723895,-12.66835081615136,-12.481478538305964,-12.275730527180713,-12.087519962136867,-11.9070932266186,-11.746051238995278,-11.597459798154887,-11.458499149302952,-11.327476925624069,-11.204603608115576,-11.089453847613186,-10.98126303643221,-10.87947218347108,-10.766996360966004,-10.661519489338389},
+{-12.506397601260687,-14.259265347514884,-14.164240704194526,-13.773313279947615,-13.37193875068624,-12.986630507744849,-12.703686199936783,-12.51631725858897,-12.309916814905591,-12.121168119832873,-11.940246356796706,-11.77880071249092,-11.629799858637853,-11.490423819748685,-11.359008013736457,-11.235779381502653,-11.120298468129477,-11.011798717838246,-10.909720326249953,-10.796932460565586,-10.691146778146503},
+{-12.541391078804736,-14.299267342241365,-14.203769465442747,-13.81179778664955,-13.40926740244322,-13.022897377319168,-12.73912077708519,-12.551252824428957,-12.344199226121418,-12.154909076081822,-11.973492614604766,-11.811641416454222,-11.662229832611047,-11.52243641539826,-11.39062600795296,-11.26704105277895,-11.151227961672703,-11.04241842275951,-10.94005173642654,-10.82695133809466,-10.720855394087266},
+{-12.576484389981488,-14.339381761223194,-14.24341088545043,-13.850390976440394,-13.446701156921335,-13.059266398398904,-12.774654812790686,-12.58628549115383,-12.378578022238798,-12.188743091450306,-12.00683225793182,-11.844573585956823,-11.69474993541371,-11.55453716503689,-11.422331136884168,-11.29838883021148,-11.182242545270128,-11.073122367088217,-10.970466623955872,-10.85705320953275,-10.750645544787403},
+{-12.611677815380972,-14.379608910196112,-14.283165298606036,-13.889093146543019,-13.484240299119847,-13.095737838448258,-12.810288582928479,-12.621415506815538,-12.413053463300457,-12.222670416755136,-12.040265548537718,-11.877597464917926,-11.727360386576038,-11.586726278299466,-11.454123621049803,-11.32982293140958,-11.213342441566056,-11.103910765610635,-11.000965203507803,-10.887238284834893,-10.780517457285896},
+{-12.646971635476802,-14.419949101516977,-14.323033041131566,-13.927904602634953,-13.521885122303502,-13.132311973982723,-12.846022361278301,-12.656643122609239,-12.44762581033865,-12.256691311107716,-12.07379274899722,-11.910713290446438,-11.760061402397696,-11.619003983243601,-11.486003698169952,-11.361343568889424,-11.244527858449146,-11.134783839574084,-11.031547684629913,-10.917506785481237,-10.810471334407339},
+{-12.682366133783944,-14.460402645680006,-14.363014444941655,-13.966825640163734,-13.559635919591528,-13.168989079073071,-12.881856419931864,-12.691968595026992,-12.48229532915866,-12.290806027274812,-12.107414117112057,-11.94392131161294,-11.792853205202846,-11.651370502426289,-11.517971586348722,-11.392950963490875,-11.275799020804698,-11.165741809469182,-11.0622142846114,-10.94785891432548,-10.840507397457259},
+{-12.717861592944246,-14.50096985467826,-14.403109848499298,-14.005856568037416,-13.597492975619389,-13.205769429187058,-12.91779103333829,-12.727392172935652,-12.517062272614567,-12.325014821690274,-12.141129908413859,-11.97722176645766,-11.825736009690445,-11.68382606000523,-11.550027523335302,-11.424645334860543,-11.30715613940265,-11.196784890576964,-11.092965215590084,-10.978294897213345,-10.870625862211455},
+{-12.75345829660364,-14.541651038554846,-14.443319586178404,-14.044997680786764,-13.63545658858493,-13.242653299617814,-12.953826469893102,-12.762914113729494,-12.551926907064626,-12.35931795410579,-12.174940383643843,-12.010614898259519,-11.85871003268403,-11.716370877955342,-11.582171732006827,-11.456426895805635,-11.338599434035132,-11.227913303649984,-11.123800689994823,-11.00881494017085,-10.900826927332673},
+{-12.789156531609478,-14.582446513930336,-14.483643994914019,-14.084249286737759,-13.67352704393852,-13.279640963184647,-12.989963011350483,-12.798534669651417,-12.5868894951127,-12.393715683341725,-12.208845807879698,-12.044100955012254,-11.891775499505457,-11.74900518739014,-11.614404448337154,-11.488295870105503,-11.3701291262405,-11.259127272118349,-11.154720922873821,-11.03941926229163,-10.931110825826181},
+{-12.824956580850994,-14.623356593365315,-14.524083414376946,-14.123611694245483,-13.711704642366385,-13.316732692124788,-13.026200928143226,-12.83425409294432,-12.621950290747918,-12.428208267694572,-12.24284642652492,-12.077680175076239,-11.924932618974708,-11.781729206384625,-11.646725892554969,-11.5202524701308,-11.401745433016913,-11.290427012281725,-11.18572612371645,-11.070108073152369,-10.961477759119589},
+{-12.860858732979978,-14.664381591355777,-14.564638183364877,-14.163085198175395,-13.749989675940014,-13.35392876737751,-13.062540491373511,-12.870072640274884,-12.657109552877955,-12.462795968400314,-12.276942505384795,-12.11135280795861,-11.958181613503257,-11.814543167245574,-11.679136293329066,-11.552296916866908,-11.433448571682675,-11.321812748996308,-11.216816504718736,-11.100881591439247,-10.99192794400733},
+{-12.896863275746,-14.705521826646873,-14.605308639496798,-14.202670115031651,-13.788382437938708,-13.391229467408266,-13.098981986782746,-12.90599057439249,-12.692367552983342,-12.497479047742672,-12.31113430383266,-12.145119102933677,-11.991522709198762,-11.847447298059706,-11.711635890911566,-11.584429436683422,-11.465238769567804,-11.353284710174194,-11.247992291639093,-11.131740031560184,-11.02246160179493},
+{-12.93297049519606,-14.746777611479047,-14.646095125193824,-14.2423667426483,-13.826883221699973,-13.42863506093272,-13.135525678429985,-12.942008146055741,-12.727724544296507,-12.532257769285934,-12.345422070793575,-12.17897930261097,-12.024956114590168,-11.880441826273454,-11.74422491027508,-11.616650245472556,-11.497116234706482,-11.384843106818153,-11.279253682965646,-11.162683607632061,-11.053078947617905},
+{-12.969180683154264,-14.788149266212713,-14.68699798140733,-14.282175393935177,-13.865492326964159,-13.4661458277551,-13.172171846526908,-12.978125610010466,-12.76318078787881,-12.567132393829525,-12.379806067765458,-12.212933655857341,-12.058482052903855,-11.91352697898401,-11.776903572957963,-11.64895956456894,-11.529081203712849,-11.416488170303637,-11.310600903845625,-11.193712535197847,-11.08378020033706},
+{-13.005494129567523,-14.829637112852652,-14.728017552057281,-14.32209637775668,-13.904210051114205,-13.503762042557355,-13.208920767967356,-13.014343229064252,-12.7987365462468,-12.602103185578017,-12.414286546118092,-12.246982406300958,-12.092100742971525,-11.946702990622725,-11.809672126430087,-11.681357615540037,-11.561133889481425,-11.448220125137595,-11.342034162080381,-11.224827030382585,-11.114565583033254},
+{-13.041911123291356,-14.871241464003106,-14.769154174835421,-14.362129993867711,-13.943036689510336,-13.541483985551167,-13.245772710448364,-13.050661262794165,-12.834392077231314,-12.637170408503152,-12.448863759462256,-12.281125808745855,-12.125812405953184,-11.979970088024857,-11.842530783556867,-11.713844616955612,-11.59327452085563,-11.48003918901668,-11.37355367586133,-11.256027306459146,-11.145435317535885},
+{-13.078431958128931,-14.912962644608342,-14.810408197226934,-14.40227656144998,-13.981972537963884,-13.579311928304378,-13.282727961108321,-13.087079966266174,-12.870147641777294,-12.672334331204183,-12.48353796871379,-12.315364110079827,-12.159617260971572,-12.01332850806648,-11.875479783600895,-11.746420797950123,-11.62550331602688,-11.511945592268603,-11.405159659305355,-11.287313585344236,-11.176389634696534},
+{-13.11505692526407,-14.954800974344835,-14.851779962627916,-14.442536385642597,-14.021017896622652,-13.617246158013586,-13.319786789768841,-13.12359960534377,-12.90600350513705,-12.707595211890293,-12.518309420906007,-12.349697560013738,-12.193515525927069,-12.046778476360487,-11.908519356773468,-11.77908638207009,-11.657820501975948,-11.543939553463133,-11.436852326209191,-11.318686078826431,-11.20742875841097},
+{-13.151786319547682,-14.996756775712129,-14.893269816908287,-14.482909777550958,-14.060173065809067,-13.65528694211389,-13.356949472858105,-13.160220437508542,-12.941959921619855,-12.742953323147958,-12.553178369125817,-12.384126410383033,-12.227507428004174,-12.080320229259087,-11.941649730521021,-11.811841585702496,-11.690226301521761,-11.576021301967558,-11.468631892756093,-11.350145005999366,-11.23855292002554},
+{-13.188620434797485,-15.038830372592201,-14.934878104744712,-14.523397054275847,-14.099438343429938,-13.693434560613241,-13.39421628540731,-13.19694272550987,-12.978017157380236,-12.7784089295601,-12.588145069486927,-12.41865091145155,-12.261593177041505,-12.11395399903995,-11.97487113653915,-11.844686639582505,-11.72272094109212,-11.608191063132836,-11.500498575740494,-11.38169058089261,-11.269762351177633},
+{-13.225559567901655,-15.081022090045735,-14.976605172108975,-14.563998521931353,-14.138814035337418,-13.731689300737344,-13.43158750780276,-13.233766733261291,-13.014175471151248,-12.81396230313112,-12.623209768964443,-12.453271321428474,-12.295773004414514,-12.147680028690957,-12.008183805039153,-11.87762176952674,-11.755304653837811,-11.640449064027052,-11.532452585961437,-11.413323024549754,-11.301057288364973},
+{-13.262604012765223,-15.123332249990199,-15.018451368028764,-14.604714494766085,-14.178300436353311,-13.770051431609318,-13.469063413795084,-13.270692722027889,-13.05043512233533,-12.849613707716344,-12.658372719975887,-12.4879878826614,-12.330047131777974,-12.18149854161311,-12.04158797301352,-11.910647194948979,-11.787977661850164,-11.672795529448194,-11.564494148595259,-11.445042552251834,-11.332437960314564},
+{-13.299754068400944,-15.165761181444395,-15.060417041313485,-14.645545288352878,-14.21789785209694,-13.808521239610855,-13.506644280831097,-13.307720957091078,-13.086796376504935,-12.885363409412093,-12.693634171126178,-12.522800855804235,-12.36441577511141,-12.215409782336792,-12.075083861360326,-11.943763151939493,-11.820740187278716,-11.70523068093462,-11.596623475285014,-11.476849381288048,-11.363904594036285},
+{-13.337010031478712,-15.208309209163417,-15.102502537803957,-14.686491216358263,-14.257606578845298,-13.847099000529852,-13.544330383534543,-13.344851701258449,-13.123259490035707,-12.921211684326408,-12.728994370787404,-12.55771049586474,-12.398879165528342,-12.249413981568068,-12.108671706053428,-11.976969865703722,-11.853592465544352,-11.737754751025932,-11.628840783523628,-11.508743730402784,-11.395457438571611},
+{-13.374372202466475,-15.25097666333022,-15.144708210675162,-14.727552599375485,-14.297426930541405,-13.885784993763082,-13.582122003514087,-13.38208522676723,-13.159824728791136,-12.957158794946736,-12.764453569776379,-12.592717058054404,-12.43343751973589,-12.283511381334392,-12.142351740098093,-12.010267559118802,-11.886534723336808,-11.770367958961288,-11.661146295780782,-11.540725818398641,-11.42709672084311},
+{-13.41184088002774,-15.293763871173724,-15.187034405287704,-14.768729746807367,-14.337359205295797,-13.924579501064727,-13.620019414054696,-13.419421792583307,-13.19649235237739,-12.993205014849082,-12.800012014602544,-12.627820792840794,-12.468091064190958,-12.317702216823818,-12.176124189281836,-12.043656459223712,-11.919567191216629,-11.803070540947374,-11.693540223757736,-11.572795857588062,-11.458822668384528},
+{-13.449416365852812,-15.336671163095161,-15.229481479647802,-14.810022977631888,-14.37740370442043,-13.963482804159867,-13.658022895338945,-13.45686166654923,-13.233262625406496,-13.029350613302086,-12.835669954569312,-12.663021966262022,-12.502840028784703,-12.351986732886871,-12.20998929219786,-12.07713679864537,-11.95269009846379,-11.8358627166308,-11.726022792019648,-11.604954072856344,-11.490635517053306},
+{-13.48709896201035,-15.37969887041254,-15.27204977949441,-14.851432610637858,-14.41756073810393,-14.002495187189197,-13.696132719313027,-13.494405119359726,-13.27013580253697,-13.065595857449807,-12.871427631442202,-12.698320827097632,-12.537684633862227,-12.38636516421684,-12.243947277602274,-12.110708806547336,-11.985903674736619,-11.868744711275212,-11.758594218350481,-11.63720067893155,-11.522535498574143},
+{-13.524888969375752,-15.422847323599854,-15.31473965884652,-14.892958964424906,-14.457830606785137,-14.041616926522693,-13.734349170699716,-13.53205241530668,-13.307112151407637,-13.101941021857783,-12.90728529196349,-12.733717638649978,-12.572625106113264,-12.420837749232305,-12.277998373872833,-12.144372715323698,-12.019208159996197,-11.90171675386955,-11.79125472420128,-11.669535894674482,-11.554522838821867},
+{-13.562786692389636,-15.466116858209716,-15.35755147135933,-14.934602361638099,-14.498213622020558,-14.080848305718973,-13.772672522231005,-13.569803825521376,-13.344191935204435,-13.13838637698791,-12.943243187270127,-12.769212659302866,-12.607661672111135,-12.455404734384501,-12.312142818671418,-12.178128746250877,-12.052603772142902,-11.93477906860062,-11.824004530732054,-11.701959938829532,-11.586597770510707},
+{-13.600792436307529,-15.509507806709735,-15.400485571008176,-14.976363116729772,-14.538710091175744,-14.120189609879162,-13.811103055631975,-13.607659617555328,-13.381375416036462,-13.174932189373067,-12.97930155848735,-12.804806149739306,-12.642794560495531,-12.4900663587905,-12.346380838454934,-12.211977139115334,-12.086090758122737,-11.96793188911397,-11.856843861343805,-11.734473028889624,-11.61876051343279},
+{-13.638906505118939,-15.553020505292807,-15.443542311768397,-15.018241555182613,-14.579320315446239,-14.159641123143956,-13.849641047912883,-13.645620064984541,-13.418662855197908,-13.211578736867523,-13.015460646885913,-12.84049836845952,-12.678024002729217,-12.524822866456816,-12.380712674959796,-12.245918118715053,-12.119669342617271,-12.001175438228529,-11.889772934344364,-11.767075384152122,-11.651011302164989},
+{-13.677129205985693,-15.596655287939939,-15.486722049157834,-15.06023799610557,-14.620044611248886,-14.19920312918839,-13.888286776724271,-13.68368543087854,-13.456054518494057,-13.248326286004158,-13.051720702671446,-12.876289579289733,-12.713350219943095,-12.559674502001144,-12.415138549782569,-12.279951916367281,-12.153339759272058,-12.034509939490817,-11.92279197910102,-11.799767217802582,-11.683350350154797},
+{-13.715460845909547,-15.640412493637996,-15.530025139945792,-15.102352763628005,-14.660883279750124,-14.238875910436036,-13.927040524431504,-13.721855994459474,-13.493550669285469,-13.285175111232093,-13.08808197005419,-12.912180042621912,-12.748773451690795,-12.59462151239859,-12.449658707220806,-12.314078777417308,-12.187102254974889,-12.067935625003884,-11.955901220819214,-11.832548754115123,-11.715777887206059},
+{-13.753901732663508,-15.68429245929292,-15.573451937860227,-15.144586182417697,-14.701836638589157,-14.278659750387305,-13.965902568015736,-13.760132021910977,-13.531151567352936,-13.322125478618545,-13.124544686608715,-12.94817001814954,-12.784293914679438,-12.62966413461254,-12.484273372974712,-12.348298913624603,-12.220957048790297,-12.101452716393396,-11.98910087699187,-11.865420200745575,-11.748294131975854},
+{-13.792452174588107,-15.72829552438634,-15.617002801620401,-15.186938573780935,-14.742904993268894,-14.318554938217858,-14.004873184254393,-13.7985137841315,-13.568857479112921,-13.359177667298354,-13.16110910254065,-12.984259773016674,-12.81991184852086,-12.664802618848626,-12.518982778914506,-12.38261257155682,-12.254904386179987,-12.135061446984764,-12.022391169302864,-11.898381776642054,-11.780899296485586},
+{-13.831112483880133,-15.772422032081522,-15.660678090236615,-15.229410266852938,-14.784088655171217,-14.35856176292873,-14.043952662323136,-13.83700155664701,-13.606668677995913,-13.39633194511407,-13.197775462671416,-13.020449570583878,-12.855627487850143,-12.700037215399789,-12.553787170065334,-12.417019982036436,-12.288944503001403,-12.168762041081209,-12.055772343126591,-11.931433700490743,-11.813593606289942},
+{-13.86988297040807,-15.816672319546342,-15.704478161482257,-15.272001582168741,-14.825387936056359,-14.39868050912628,-14.083141274284571,-13.875595612218603,-13.644585419970099,-13.433588585612597,-13.2345440016652,-13.056739671330433,-12.891441051877337,-12.73536816498381,-12.588686771603534,-12.45152138028061,-12.323077630571788,-12.202554725285154,-12.089244602771942,-11.964576185157057,-11.846377267764183},
+{-13.908763944869861,-15.861046731690294,-15.748403374120244,-15.314712851977674,-14.86680314692785,-14.438911460572854,-14.122439302969724,-13.914296217350056,-13.682607971975813,-13.470947861147579,-13.27141497444245,-13.093130343477242,-12.927352788014105,-12.77079571824288,-12.623681821365608,-12.486117001157254,-12.357304015837144,-12.236439728731057,-12.122808189073112,-11.997809435182717,-11.879250498110196},
+{-13.947755722416332,-15.9055456128699,-15.792454087888473,-15.35754440157325,-14.908334602427203,-14.479254904057598,-14.161847029521596,-13.953103648556862,-13.720736601651879,-13.508410038310103,-13.308388618926983,-13.129621843516361,-12.963362911948934,-12.806320121773751,-12.658772552473238,-12.520807068591239,-12.391623887087917,-12.270417277264642,-12.156463319493923,-12.031133669283008,-11.912213506671833},
+{-13.98685861346894,-15.950169306597672,-15.836630662277457,-15.400496555521386,-14.9499826215324,-14.519711137050763,-14.201364742417354,-13.992018186254427,-13.75897157905274,-13.545975398272276,-13.345465183956549,-13.166214444121579,-12.99947167429491,-12.841941628197674,-12.693959205236752,-12.555591831100173,-12.426037495664787,-12.304487602843437,-12.190210223721806,-12.064549094502581,-11.945266491122311},
+{-14.026072936496348,-15.994918160344241,-15.880933462816756,-15.443569653230952,-14.991747507709078,-14.560280442616204,-14.240992719540372,-14.031040096655488,-13.797313168324763,-13.583644212922081,-13.382644913624972,-13.202908407576615,-13.035679299617186,-12.877660486556124,-12.729242012748728,-12.590471523930319,-12.460545071051456,-12.338650924968533,-12.224049132870277,-12.098055915703299,-11.978409668372478},
+{-14.065399003811763,-16.039792520328774,-15.92536284646485,-15.486764015367953,-15.03362958386424,-14.600963117496576,-14.28073124482762,-14.070169657759834,-13.835761638882104,-13.621416750684148,-13.419928050367162,-13.23970399814425,-13.071986021386692,-12.913476944639115,-12.76462121217628,-12.625446378980996,-12.495146854198538,-12.37290747766383,-12.257980268797837,-12.131654344382696,-12.011643225763692},
+{-14.104837134291301,-16.084792734036455,-15.969919179100543,-15.530079976510024,-15.075629162427504,-14.641759444552008,-14.320580601895927,-14.109407140989788,-13.874317259149393,-13.659293286240427,-13.457314845494693,-13.27660147738061,-13.108392079389887,-12.949391253641807,-12.800097036291845,-12.660516636329703,-12.52984308989835,-12.407257492624922,-12.292003860813566,-12.165344584180275,-12.044967369234655},
+{-14.144387643304071,-16.129919151760987,-16.01460282005428,-15.573517870798241,-15.117746561067179,-14.682669715752127,-14.360541072470369,-14.148752823733957,-13.912980296910973,-13.697274093225133,-13.494805544120027,-13.3136011150782,-13.144897704187315,-12.985403663449688,-12.835669728025096,-12.695682536315871,-12.564634013193427,-12.441701195493806,-12.326120133249788,-12.199126829364104,-12.078382295614574},
+{-14.184050852345536,-16.175172125833342,-16.059414137343992,-15.617078028590186,-15.1599820999254,-14.723694232670823,-14.40061294886982,-14.188206981751136,-13.951751027692808,-13.735359449754469,-13.532400390453404,-13.350703172996873,-13.18150313734077,-13.02151443209732,-12.871339521545451,-12.730944316484965,-12.599519875046099,-12.476238817936974,-12.36032931538648,-12.233001296670409,-12.11188819995732},
+{-14.223827078094473,-16.220552005106583,-16.10435349108593,-15.660760777682299,-15.202336089976598,-14.764833277789876,-14.440796510403743,-14.22776988815167,-13.990629710024223,-13.773549624020234,-13.570099639036926,-13.387907911033835,-13.218208612379385,-13.057723801321117,-12.907106655358803,-12.7663022132474,-12.634500907646725,-12.510870584577788,-12.39463163309847,-12.266968174866633,-12.145485267887125},
+{-14.263716642337386,-16.266059146248153,-16.14942125113157,-15.704566463507945,-15.24480885406956,-14.806087152828695,-14.481092045432888,-14.267441819625674,-14.02961662679445,-13.811844895681133,-13.607903534808429,-13.425215599447256,-13.255014364985982,-13.094032031687675,-12.942971370677697,-12.801756472676061,-12.669577353168279,-12.545596732961712,-12.429027313919505,-12.301027663779678,-12.179173691867618},
+{-14.30371986659884,-16.31169389974093,-16.19461777646211,-15.748495411447948,-15.287400707456982,-14.847456145798787,-14.52149984339485,-14.307223051146138,-14.06871204104391,-13.850245539477328,-13.645812326081796,-13.462626493303105,-13.29192063777009,-13.130439372151159,-12.97893389937235,-12.83730733388802,-12.704749456461286,-12.580417484947247,-12.463516584975878,-12.335179964487907,-12.212953659851337},
+{-14.3438370723743,-16.35745662402769,-16.239943440901698,-15.792547966149868,-15.33011197700398,-14.88894055451965,-14.562020190001931,-14.347113864525454,-14.107916229200782,-13.888751826656517,-13.683826268475968,-13.500140864751302,-13.32892766603618,-13.16694608060061,-13.014994489320088,-12.872955039638327,-12.74001745856367,-12.61533308113576,-12.498099674849072,-12.369425269658677,-12.246825368114514},
+{-14.384068582687178,-16.403347673869575,-16.28539860523597,-15.836724457156379,-15.372942980902735,-14.930540673842188,-14.602653375797672,-14.387114531738916,-14.14722946297843,-13.927364042028785,-13.721945612458512,-13.53775896973093,-13.366035694081802,-13.203552402934292,-13.051153376989532,-12.90869983000448,-12.775381604355061,-12.650343752233312,-12.532776809617644,-12.403763777663698,-12.280788996518822},
+{-14.424414724708186,-16.449367409644765,-16.33098364120815,-15.881025226932252,-15.415894035686506,-14.972256802400807,-14.643399690918159,-14.427225328690838,-14.186652012867853,-13.96608245576499,-13.760170613473747,-13.575481070904061,-13.40324496125686,-13.240258598758373,-13.087410799693316,-12.944541949604172,-12.810842131846584,-12.685449724667706,-12.56754821605864,-12.43819567374885,-12.314844740030821},
+{-14.464875820136513,-16.495516188035253,-16.376698913692962,-15.925450608570827,-15.458965466998052,-15.014089239848545,-14.684259421715979,-14.467446534952614,-14.226184154831572,-14.004907343594823,-13.79850152003928,-13.613307426508982,-13.440555706503801,-13.277064922702266,-13.123767010081792,-12.980481641599908,-12.846399284811923,-12.720651236653794,-12.60241412706091,-12.472721157304477,-12.348992770595942},
+{-14.505452196710394,-16.541794370263233,-16.422544791246764,-15.970000945904758,-15.502157595474273,-15.056038276408799,-14.725232865224825,-14.507778425555443,-14.265826156712137,-14.043838988465723,-13.836938589520287,-13.651238303660648,-13.477968174993293,-13.313971621188102,-13.160222236154368,-13.016519158700248,-12.882053309032926,-12.755948518984951,-12.637374767713482,-12.507340420997934,-12.383233290252974},
+{-14.546144181702402,-16.58820232033031,-16.468521647067973,-16.014676583261462,-15.545470747252693,-15.098104217555374,-14.766320308990544,-14.548221279896097,-14.305578298895853,-14.082877674343763,-13.875482084142277,-13.6892739571922,-13.515482606977457,-13.350978963630041,-13.196776730415877,-13.052654730709037,-12.917804443801288,-12.791341813455801,-12.672430368926143,-12.542053651151946,-12.417566480842652},
+{-14.58695210357837,-16.634740398425492,-16.51462984655518,-16.059477851900738,-15.58890524841263,-15.140287359274225,-14.807522049290128,-14.588775381678715,-14.345440853503533,-14.122023671283387,-13.914132255595177,-13.727414651511936,-13.55309925484471,-13.388087188563077,-13.233430730353575,-13.08888861889136,-12.953652934142156,-12.82683135138359,-12.707581160764676,-12.576861042762175,-12.451992540882202},
+{-14.627876290716813,-16.6814089709369,-16.560869763154187,-16.104405102756573,-15.632461416593287,-15.182588005351136,-14.84883837911184,-14.629441002383828,-14.385414090880658,-14.161277269391576,-13.95288936237921,-13.765660637931433,-13.590818355907686,-13.425296561181312,-13.27018448515446,-13.125221062626224,-12.989599021297181,-12.862417365889996,-12.742827369685983,-12.61176278773928,-12.486511649563909},
+{-14.668917074304773,-16.728208401807933,-16.607241768593667,-16.14945867174538,-15.676139583985787,-15.225006456137635,-14.890269594965503,-14.67021842088434,-14.425498291151598,-14.200638745707693,-13.99175367114367,-13.80401218048064,-13.628640155307949,-13.462607332621701,-13.30703823568183,-13.161652311187936,-13.025642946537118,-12.89810010229121,-12.77816923276987,-12.646759069582913,-12.521124007704202},
+{-14.710074785456527,-16.77513905975502,-16.65374623250682,-16.194638904504245,-15.719940073788166,-15.267543015943374,-14.93181598893716,-14.711107924726093,-14.465693727892358,-14.240108386788052,-14.030725439806702,-13.842469535535201,-13.666564915183699,-13.500019763829187,-13.343992230365984,-13.198182620835723,-13.061784959194483,-12.93387979074032,-12.813606979412725,-12.681850095279515,-12.555829806020483},
+{-14.751349754660623,-16.82220131154463,-16.70038352854317,-16.239946151705226,-15.763863216241589,-15.310197978891665,-14.973477861582069,-14.75210978690302,-14.506000675493851,-14.279686469293665,-14.06980492643197,-13.88103295781184,-13.704592864291044,-13.537534107192187,-13.381046711001545,-13.234812224487541,-13.098025295621483,-12.969756674050586,-12.849140838923631,-12.717036046640715,-12.590629244106822},
+{-14.792742316465592,-16.869395526620792,-16.747154026903445,-16.28538074833341,-15.807909335504519,-15.352971653919667,-15.015255503094522,-14.793224286026089,-14.54641940415604,-14.319373286649352,-14.108992398454575,-13.919702705403324,-13.74272426115931,-13.57515060986043,-13.418201926135225,-13.271541383874137,-13.134364201163407,-13.005730989971198,-12.884771037352039,-12.752317121921806,-12.625522513088072},
+{-14.834252805507276,-16.916722078356543,-16.79405810512253,-16.330943048669724,-15.852078764146427,-15.39586435048841,-15.057149223459419,-14.834451713191811,-14.58695020081359,-14.359169125382323,-14.148288127034903,-13.958479034161428,-13.780959360679844,-13.61286954060779,-13.4554581217526,-13.308370348095195,-13.170801920670783,-13.041802973864833,-12.920497823826736,-12.787693519378081,-12.660509815235855},
+{-14.875881555723026,-16.96418133660336,-16.841096137519344,-16.376633398293052,-15.896371828275733,-15.438876368192723,-15.099159313074779,-14.875792347505921,-14.62759333269787,-14.399074266810203,-14.187692364881514,-13.997362200694624,-13.819298408023315,-13.650691149116028,-13.492815552279353,-13.34529936639592,-13.207338692067424,-13.077972869185032,-12.956321416859282,-12.823165443522157,-12.69559134868905},
+{-14.917628904266167,-17.011773675112636,-16.88826849675388,-16.422452142520342,-15.940788856503787,-15.48200801020721,-15.141286074678646,-14.917246462107869,-14.668349079845939,-14.439089007966686,-14.2272053900233,-14.036352454771986,-13.857741659041494,-13.688615689490689,-13.530274458491476,-13.382328693580348,-13.243974762939615,-13.114240919501754,-12.992242056498071,-12.858733087196015,-12.730767319764709},
+{-14.959495188144501,-17.059499469891307,-16.93557555838197,-16.46839963286766,-15.985330185620114,-15.525259588495828,-15.183529808506137,-14.958814351994079,-14.709217715339037,-14.479213630140293,-14.26682746480219,-14.075450055854162,-13.896289360825904,-13.726643424248323,-13.567835091293091,-13.41945857796236,-13.280710373277543,-13.15060735467705,-13.028259968734346,-12.894396663585212,-12.76603792674723},
+{-15.001480746475863,-17.107359096538858,-16.983017701699282,-16.514476216310868,-16.029996144061442,-15.568631407804787,-15.225890815985622,-15.000496293359902,-14.750199514528504,-14.519448429637123,-14.306558862241218,-14.114655254525132,-13.934941774699837,-13.764774599578232,-13.605497705430025,-13.456689275306417,-13.317545768717537,-13.187072425149381,-13.064375397807453,-12.930156379734399,-12.801403378078248},
+{-15.043585916413576,-17.15535293398716,-17.03059529887105,-16.560682245559292,-16.07478706506663,-15.612123778031673,-15.268369406985585,-15.04229257410043,-14.791294757305877,-14.559793703840114,-14.346399852976901,-14.15396830625832,-13.973699153633788,-13.803009478171589,-13.643262543046148,-13.494021040853113,-13.354481195652625,-13.22363636069349,-13.100588571629487,-12.966012448101537,-12.83686388132628},
+{-15.085811039578402,-17.20348135943641,-17.07830873108469,-16.60701806997531,-16.11970327832387,-15.655737009714358,-15.310965876851697,-15.084203477599658,-14.832503716053907,-14.600249739276478,-14.38635070392047,-14.193389464955544,-14.012561751063913,-13.841348317451775,-13.681129861826776,-13.531454127485631,-13.39151688615675,-13.260299413203029,-13.136899726028787,-13.00196508676163,-12.872419642604655},
+{-15.128156457547448,-17.25174475359381,-17.126158375060186,-16.653484043548815,-16.164745119342115,-15.699471404688666,-15.353680531261489,-15.126229289948242,-14.873826672002906,-14.640816837840248,-14.426411687483778,-14.232918977621011,-14.051529829681385,-13.879791366314748,-13.7190999094164,-13.568988795101177,-13.428653097042115,-13.297061813704204,-13.173309096921002,-13.038014520076104,-12.908070866658818},
+{-15.170622511592228,-17.30014350071724,-17.174144609074574,-16.700080521724885,-16.209912927472033,-15.743327281525126,-15.39651367708575,-15.168370297004003,-14.915263895120006,-14.681495293974876,-14.466583083703881,-14.27255710324971,-14.090603640477639,-13.918338888615835,-13.757172937534051,-13.606625296815764,-13.46589005892747,-13.333923809259431,-13.209816913469695,-13.074160969961667,-12.943817774445051},
+{-15.213209546142025,-17.34867798120831,-17.222267812874634,-16.74680785369128,-16.255207036389038,-15.787304951430997,-15.439465624192962,-15.210626789368689,-14.956815666664625,-14.722285412601195,-14.506865160103189,-14.312304092309205,-14.12978345103329,-13.956991139246384,-13.795349201915087,-13.644363889558008,-13.503228029352613,-13.370885638374602,-13.246423421922373,-13.110404678765917,-12.97966056712903},
+{-15.255917903690715,-17.39734857925214,-17.270528366381768,-16.793666395009495,-16.300627775781322,-15.83140472220839,-15.482536673283903,-15.252999048505444,-14.99848225529422,-14.763187489821576,-14.547258196165785,-14.352160192705924,-14.169069514377043,-13.995748369110515,-13.833628948195837,-13.682204828597605,-13.54066724452423,-13.40794753524824,-13.283128844253952,-13.146745875506895,-13.01559946659836},
+{-15.298747932349215,-17.44615568383597,-17.318926648498746,-16.840656502521597,-16.346175489830784,-15.87562691126368,-15.52572713745758,-15.295487368450267,-15.040263947710628,-14.804201828781515,-14.587762464390835,-14.392125659651356,-14.208462091191905,-14.034610846603755,-13.872012435953366,-13.720148373977281,-13.578207950369688,-13.445109749707626,-13.319933423685143,-13.183184808935039,-13.051634683797602},
+{-15.341699975921074,-17.49509967934864,-17.36746304424014,-16.887778532109223,-16.391850511805387,-15.919971827912377,-15.569037322857184,-15.338092032936402,-15.082161007390823,-14.845328738621902,-14.62837823558948,-14.432200742245186,-14.247961444896646,-14.073578813520726,-13.910499913385138,-13.758194788097171,-13.615850390051492,-13.482372511760332,-13.356837401923258,-13.219721723988187,-13.087766434793593},
+{-15.384774383855984,-17.544180956974742,-17.416137932275888,-16.93503284911276,-16.43765318582882,-15.964439790113829,-15.612467540922808,-15.380813337891595,-15.124173718155362,-14.886568520159926,-14.669105801789556,-14.472385698201833,-14.287567838531686,-14.112652538198745,-13.949091641610721,-13.796344327856787,-13.653594812116353,-13.519736069138162,-13.39384100137977,-13.256356885336572,-13.123994941735873},
+{-15.42797150289698,-17.5933999051922,-17.464951696339995,-16.982419796666363,-16.483583846653346,-16.009031110617798,-15.656018098787172,-15.42365156323649,-15.166302355239168,-14.92792148963781,-14.709945430367952,-14.512680768006248,-14.32728153426433,-14.151832272240426,-13.987787868652958,-13.834597250126535,-13.691441460890928,-13.557200668990845,-13.430944470805116,-13.293090548162581,-13.16032042214647},
+{-15.471291684923926,-17.642756915985956,-17.51390471958439,-17.029939744767034,-16.52964283534675,-16.053746107703773,-15.699689314846182,-15.466607004636899,-15.20854719055933,-14.969387946766801,-14.750897405407159,-14.55308620998403,-14.367102797928965,-14.191118271817686,-14.026588851644192,-13.872953819372924,-13.729390584892826,-13.594766536232783,-13.468148035404738,-13.329922978271497,-13.196743108826922},
+{-15.514735278105945,-17.69225238407671,-17.562997385772178,-17.077593047899427,-16.575830492947716,-16.098585101310164,-15.743481494340813,-15.509679954237072,-15.250908500718651,-15.010968209302519,-14.791962003568187,-14.593602272419957,-14.407031893235398,-14.230510800494812,-14.065494850219693,-13.911414291244,-13.767442427837523,-13.632433928520186,-13.505451940145576,-13.366854454769054,-13.233263210364385},
+{-15.558302635836299,-17.74188669952855,-17.612230078142602,-17.12538007067633,-16.622147158777807,-16.143548400548752,-15.787394950486487,-15.552870702231303,-15.293386559962528,-15.052662595495349,-14.833139507012675,-14.634229209070327,-14.447069089510478,-14.270010110922158,-14.104506115283584,-13.949978934746468,-13.80559723690385,-13.67020307976054,-13.542856424086494,-13.40388525245362,-13.269880971580278},
+{-15.6019941100094,-17.791660262839287,-17.661603183834814,-17.17330117552774,-16.66859317664057,-16.188636329665314,-15.831429995538201,-15.596179533575196,-15.335981641721446,-15.094471414369764,-14.87443019656348,-14.674967266415479,-14.487214646156644,-14.309616464190185,-14.143622907344252,-13.988647997757653,-13.843855263199657,-13.708074232999934,-13.580361715808976,-13.441015651158523,-13.306596609414555},
+{-15.64581005430955,-17.8415734689479,-17.71111708911485,-17.221356720518088,-16.715168894996168,-16.233849208569154,-15.875586950947763,-15.639606749406084,-15.37869402335491,-15.136394991219277,-14.91583435825305,-14.715816701587755,-14.527468837826746,-14.349330118653597,-14.182845486444421,-14.02742175696767,-13.882216759258881,-13.746047641674522,-13.617968062811997,-13.478245940292254,-13.343410369590856},
+{-15.689750824021758,-17.89162671788654,-17.76077217812417,-17.26954707110417,-16.76187464784016,-16.279187354579335,-15.919866125448607,-15.683152635407168,-15.421523974975571,-15.178433640685398,-14.957352269964758,-14.756777754810173,-14.5678319313447,-14.389151328650769,-14.222174103750149,-14.066300462320214,-13.920681963150855,-13.784123533638194,-13.655675701360451,-13.51557640871033,-13.380322487239027},
+{-15.733816772932187,-17.94182040762098,-17.81056883992278,-17.31787259216071,-16.8087107858737,-16.324651089205872,-15.964267832314363,-15.726817488321103,-15.464471773535479,-15.22058768235729,-14.998984219681006,-14.79785068507772,-14.608304192021023,-14.429080356960185,-14.261609029228566,-14.105284378980286,-13.959251134598162,-13.822302164277062,-13.693484874878777,-13.553007345151855,-13.417333202960435},
+{-15.778008262335788,-17.992154943116475,-17.860507462144597,-17.36633365022135,-16.855677653336897,-16.370240739604924,-16.008792396256467,-15.770601600932423,-15.507537696626969,-15.262857450230513,-15.040730492357397,-14.839035748154856,-14.648885907314252,-14.469117462693248,-14.301150518789655,-14.144373778341105,-13.997924532159232,-13.860583772824612,-13.73139582676231,-13.590539052063832,-13.454442760325037},
+{-15.822325646673562,-18.04263072446338,-17.910588431957876,-17.414930608996656,-16.902775596216088,-16.41595661675092,-16.053440123214386,-15.81450525636319,-15.550722006883007,-15.305243260867428,-15.082591371494345,-14.880333183071343,-14.689577326440485,-14.509262909297831,-14.340798831748543,-14.183568907435983,-14.0367023946892,-13.898968607827555,-13.769408790103626,-13.628171816293616,-13.491651412943611},
+{-15.866769285566988,-18.093248156219488,-17.96081213944126,-17.46366383181885,-16.950004960526712,-16.461799052223796,-16.098211331263883,-15.858528764656512,-15.594024980819086,-15.347745445120381,-15.124567143502645,-14.92174325036467,-14.730378731386736,-14.549516945990035,-14.380554229195695,-14.222870035038795,-14.075584977166727,-13.937456913728965,-13.807524013594957,-13.665905934700277,-13.528959406889044},
+{-15.911339539830806,-18.14400764614402,-18.01117897676886,-17.5125336938072,-16.997366096882615,-16.507768371899147,-16.14310634692083,-15.902672412688844,-15.63744689815212,-15.390364330785815,-15.166658102476504,-14.9632661989599,-14.771290402975865,-14.589879844221286,-14.420416974666296,-14.262277423054911,-14.114572540158406,-13.976048934739083,-13.84574174421141,-13.703741706180153,-13.566367003484629},
+{-15.956036771080107,-18.194909600366373,-18.061689331254456,-17.56154055846855,-17.044859348447062,-16.55386489428929,-16.188125475047855,-15.946936489228392,-15.680988025327679,-15.433100251189899,-15.208864526124671,-15.004902282205876,-14.81231260576169,-14.630351861240342,-14.460387342580361,-14.301791335397866,-14.153665325400652,-14.014744917250937,-13.884062223194633,-13.741679422179004,-13.603874462743988},
+{-16.00086134095909,-18.245954427984543,-18.112343597371364,-17.610684798302827,-17.092485066212248,-16.60008894733619,-16.233269041607855,-15.991321297449758,-15.724648642877582,-15.475953535613371,-15.251186715671793,-15.046651751938043,-14.853445625281893,-14.670933250308735,-14.500465578312287,-14.341412037145346,-14.192863607197069,-14.053545115602901,-13.922485702263657,-13.779719371115789,-13.641482049482875},
+{-16.04581361405144,-18.297142542141955,-18.16314216700266,-17.65996678202646,-17.140243605099386,-16.646440858545247,-16.278537362028146,-16.035827129293466,-15.76842901139753,-15.518924517964479,-15.293624955229461,-15.088514858856797,-14.894689724344062,-14.711624286981532,-14.540651963790879,-14.381139780802187,-14.232167621492408,-14.092449770629173,-13.961012425512308,-13.817861847783206,-13.679190030612517},
+{-16.09089395236515,-18.34847434797848,-18.21408542917925,-17.709386877104407,-17.188135309901554,-16.692920952104032,-16.323930753249442,-16.080454280192498,-15.812329408712685,-15.562013534101425,-15.336179535166593,-15.130491860647453,-14.9360451909306,-14.752425221551675,-14.580946755042532,-14.420974838110851,-14.27157763481955,-14.131459124881076,-13.999642647599103,-13.856107136292849,-13.716998673189664},
+{-16.136102722695796,-18.39995026390534,-18.265173780702753,-17.758945461042458,-17.236160530912457,-16.73952955804998,-16.369449535530293,-16.12520304613281,-15.856350106827449,-15.605220923724119,-15.378850750421407,-15.172583006875357,-14.977512298268266,-14.793336324888514,-14.621350221335888,-14.460917466756655,-14.311093901313143,-14.170573430688819,-14.038376608717954,-13.894455525529338,-13.754908255854389},
+{-16.181440292304615,-18.451570700650336,-18.316407614183845,-17.808642902906286,-17.284319621772738,-16.786267004412366,-16.41509402412339,-16.17007372752414,-15.900491375621641,-15.64854701978038,-15.421638891246403,-15.214788553596009,-15.019091327267233,-14.834357854822883,-14.661862633394776,-14.500967927131569,-14.350716669112444,-14.209792940615444,-14.077214569202624,-13.932907294714823,-13.79291905037826},
+{-16.226907029020367,-18.50333607761422,-18.36778732656967,-17.858479578077095,-17.332612935773795,-16.833133618172724,-16.46086454059696,-16.21506661683088,-15.94475348960259,-15.691992163250688,-15.464544257032685,-15.257108754391083,-15.060782558401115,-14.875490074948175,-14.702484255918534,-14.541126487805741,-14.390446207631612,-14.249117894098163,-14.116156786127249,-13.971462723246077,-13.831031338952016},
+{-16.272503300308017,-18.555246810545214,-18.419313311605947,-17.908455860015238,-17.381040825595846,-16.88012973300647,-16.50676139976713,-16.260182017926127,-15.989136716874782,-15.735556694271509,-15.507567139342427,-15.299543873639777,-15.102586267195875,-14.916733252437552,-14.743215361988405,-14.581393407308497,-14.430282762012212,-14.288548545300728,-14.155203503993107,-14.010122091334779,-13.86924540961627},
+{-16.31822947738692,-18.60730331898958,-18.470985968684545,-17.958572125964565,-17.42960364726605,-16.92725567679736,-16.55278492407524,-16.305420224292902,-16.033641330199316,-15.779240956704598,-15.550707830494503,-15.342094153253129,-15.144502737239236,-14.958087652747054,-14.784056223317748,-14.621768949349644,-14.470226596866269,-14.328085145389196,-14.19435498828534,-14.048885668133153,-13.907561545696808},
+{-16.364085930865258,-18.659506022784626,-18.52280569137656,-18.008828746387735,-17.478301752416883,-16.974511782405898,-16.59893543252838,-16.350781538145384,-16.07826759899035,-15.82304528763052,-15.593966637097765,-15.384759855543962,-15.186532257590443,-14.999553535686573,-14.825007100735093,-14.662253373797284,-14.510277963330736,-14.367727931879926,-14.233611482894048,-14.0877537294582,-13.945980024000164},
+{-16.41007303200604,-18.71185534421238,-18.57477287965594,-18.05922610621201,-17.527135499898577,-17.021898386301473,-16.645213238458382,-16.396266261435812,-16.12301579877385,-15.866970033908729,-15.637343849375611,-15.427541243989253,-15.228675099118846,-15.041131177044008,-14.866068279719912,-14.702846939384472,-14.550437114783563,-14.407477167143952,-14.27297325906693,-14.12672653872869,-13.98450114170555},
+{-16.456191156365094,-18.764351705482113,-18.62688793311827,-18.109764576045563,-17.576105238782475,-17.069415812235093,-16.691618661337998,-16.441874686308438,-16.167886193783488,-15.911015539022628,-15.680839768378064,-15.470438572141575,-15.270931547507644,-15.082820829818957,-14.907240023399936,-14.743549920909572,-14.590704314003233,-14.44733309163712,-14.312440573005006,-14.165804362070048,-14.023125185573008},
+{-16.502440675758407,-18.816995532353758,-18.6791512510099,-18.160444542212645,-17.62521133883274,-17.117064403835684,-16.73815202564583,-16.487607126386138,-16.212879060098203,-15.95518214214826,-15.724454696493922,-15.513452097540721,-15.313301890710136,-15.12462277719169,-14.948522612568922,-14.78436256898567,-14.631079813552788,-14.487295956671005,-14.352013674739283,-14.204987476987299,-14.061852453945903},
+{-16.548821967066033,-18.869787249917863,-18.731563232431654,-18.21126637540874,-17.674454149062512,-17.16484448753181,-16.78481364430627,-16.53346387282363,-16.25799466666649,-15.999470196664333,-15.768188923888374,-15.556582080520457,-15.355786410073051,-15.166537275916198,-14.989916316379094,-14.82528515564627,-14.671563868701924,-14.527366017689928,-14.39169283665251,-14.244276131765218,-14.100683232303709},
+{-16.59533540670236,-18.922727287514135,-18.784124282188714,-18.262230461783474,-17.72383402689593,-17.21275640348904,-16.83160383978975,-16.579445234063314,-16.303233284445014,-16.04388004145585,-15.812042768782703,-15.59982878190931,-15.398385395179503,-15.208564595057396,-15.031421405845322,-14.866317931591766,-14.712156742287334,-14.567543515207944,-14.431478314392734,-14.283670595876174,-14.139617820095737},
+{-16.641981372929877,-18.97581607371103,-18.836834798072232,-18.31333718120004,-17.7733513348212,-17.260800492571434,-16.878522929066094,-16.62555151374545,-16.348595184099395,-16.08841202277108,-15.856016518722754,-15.643192458577687,-15.441099126037443,-15.250705010199454,-15.073038172762608,-14.907461170863826,-14.752858686406398,-14.607828709529713,-14.47137036654749,-14.323171124677174,-14.178656507981941},
+{-16.688760244243895,-19.029054035650915,-18.88969518331578,-18.364586911571678,-17.82300642694463,-17.308977077220334,-16.92557122753351,-16.67178301504464,-16.39408063419978,-16.133066485403106,-15.900110487244092,-15.6866733757779,-15.483927892579231,-15.292958787904354,-15.114766878570663,-14.9487151367357,-14.7936699577549,-14.64822184323566,-14.511369261483196,-14.362777977919905,-14.217799584963359},
+{-16.735672399343457,-19.082441607912187,-18.942705842287978,-18.41598004315165,-17.872799669683445,-17.35728650915553,-16.97274905568338,-16.71814004110638,-16.439689910708694,-16.177843778539682,-15.94432497274829,-15.730271795619046,-15.526871967012994,-15.335326205153251,-15.156607803306542,-14.990080081479391,-14.834590812970418,-14.688723173370818,-14.551475256099366,-14.402491418441059,-14.257047354039969},
+{-16.78271822039096,-19.135979225917254,-18.99586717991042,-18.46751695452258,-17.922731428057887,-17.4057291202771,-17.020056738256244,-16.764622905146098,-16.485423281410476,-16.222744246275397,-15.98866028644261,-15.773987981374376,-15.569931654725224,-15.37780752661638,-15.198561235389207,-15.031556282629026,-14.875621518091066,-14.72933296096744,-14.59168861884973,-14.442311700695427,-14.296400098624872},
+{-16.829898089941707,-19.18966732005356,-19.049179601774085,-18.51919803066994,-17.972802054689964,-17.454305251478218,-17.06749458744889,-16.811231907835463,-16.531281015486456,-16.267768238583812,-16.033116725826403,-15.817822186363628,-15.613107230630703,-15.420403026073473,-15.240627439256059,-15.073143995687133,-14.916762319509871,-14.770051438681548,-14.632009608234512,-14.482239083736204,-14.335858112637652},
+{-16.877212391264038,-19.24350632846472,-19.102643513469957,-18.571023656317266,-18.02301191506558,-17.503015241003595,-17.115062924451195,-16.85796735645272,-16.577263389888685,-16.312916095426772,-16.077694608597085,-15.86177468317328,-15.6563989892893,-15.463112979545258,-15.282806712610181,-15.114843484712765,-14.958013480878435,-14.810878881660756,-14.672438489826163,-14.522273824783042,-14.37542167972424},
+{-16.924661508965073,-19.297496689396212,-19.15625932023977,-18.622994218952954,-18.073361373215448,-17.55185943574179,-17.162762071326142,-16.90482956857886,-16.623370675340993,-16.358188172074733,-16.12239424136351,-15.905845737754134,-15.69980721961474,-15.505937658279436,-15.32509932454559,-15.156655031518312,-14.999375271348981,-14.851815533300396,-14.712975532165729,-14.56241617820342,-14.415091091097565},
+{-16.972245827462757,-19.351638841428212,-19.21002743212739,-18.675110108277295,-18.12385079418891,-17.600838168727932,-17.21059234367567,-16.95181884523481,-16.669603142188862,-16.40358480051509,-16.167215926223435,-15.950035608693724,-15.7433321941935,-15.548877341672778,-15.367505557223922,-15.198578879208071,-15.040847936674254,-14.892861658358015,-14.753620991774369,-14.602666408551158,-14.454866628540913},
+{-17.019965732833953,-19.405933221496525,-19.26394825358875,-18.727371703454992,-18.174480538873468,-17.649951784231234,-17.258554063009797,-16.998935498151695,-16.715961060486734,-16.4491063413152,-16.212159979972057,-15.994344559294404,-15.786974212765926,-15.591932292591082,-15.410025697085075,-15.240615307237022,-15.08243174283416,-14.9340175097459,-14.79437513454468,-14.64302475459408,-14.494748572265962},
+{-17.06782161774754,-19.460380277683726,-19.31802219900419,-18.779779399977997,-18.225250979565317,-17.699200630304404,-17.306647554243682,-17.04617984345532,-16.762444706750102,-16.49475313772564,-16.257226717367303,-16.038772863626946,-15.830733567214338,-15.635102804255439,-15.45266002000426,-15.282764579751529,-15.124126949522179,-14.975283344043419,-14.835238227678929,-14.683491491770837,-14.534737198555376},
+{-17.115813865879318,-19.514980449690484,-19.37224967626389,-18.83233358472353,-18.27616247528931,-17.748585052409908,-17.35487313469639,-17.093552191159688,-16.809054356184788,-16.5405255263031,-16.302416439633816,-16.08332078580861,-15.874610534752719,-15.678389137901831,-15.495408823073376,-15.325026962265838,-15.165933818352642,-15.016659428045386,-14.876210533315316,-14.724066866736393,-14.574832778103882},
+{-17.163942870451137,-19.56973418148118,-19.426631095062476,-18.88503464779933,-18.32721539362683,-17.79810538009042,-17.403231122647412,-17.141052852297435,-16.855790281755617,-16.58642386063002,-16.34772947570309,-16.127988588035805,-15.918605410843156,-15.721791575429961,-15.538272376346868,-15.367402731644688,-15.20785260933917,-15.058146020659478,-14.917292313708458,-14.764751126203919,-14.615035593975335},
+{-17.212209021439776,-19.624641919508576,-19.481166868499713,-18.937882982369047,-18.378410107950913,-17.84776197897736,-17.45172184833791,-17.18868214727263,-16.902652759250486,-16.632448485674104,-16.39316612755647,-16.172776547871763,-15.962718484719517,-15.765310404327465,-15.581250971881673,-15.409892156225396,-15.249883589247474,-15.099743389815558,-14.95848383900011,-14.80554453530931,-14.655345908686286},
+{-17.260612712590955,-19.679704112597392,-19.535857409908203,-18.990878975659143,-18.429746980546042,-17.89755518140737,-17.50034562658402,-17.23644038135535,-16.949642062012572,-16.67859973956365,-16.43872671254212,-16.21768492515548,-16.006950039125513,-15.8089458841132,-15.624344895390095,-15.45249550009612,-15.292027013376355,-15.141451787145343,-14.99978537420975,-14.846447338204598,-14.69576397916535},
+{-17.309154336719075,-19.73492121003801,-19.59070313043776,-19.044023022870533,-18.481226380128646,-17.947485335636884,-17.54910278765601,-17.284327875473537,-16.996758461988065,-16.72487797748181,-16.48441155254841,-16.262713993462967,-16.05130037086201,-15.85269830992911,-15.667554425541312,-15.4952130355814,-15.334283148229588,-15.183271489397157,-15.041197169106454,-14.887459777819458,-14.73629007281852},
+{-17.357834288282902,-19.790293659971212,-19.645704447902972,-19.097315517399693,-18.532848678849405,-17.997552793414798,-17.59799365067738,-17.332344942580676,-17.044002243259456,-16.771283531037625,-16.530220959335566,-16.307864024915034,-16.095769760664552,-15.896567947987933,-15.710879856836982,-15.538045032852096,-15.37665225454839,-15.225202761066612,-15.082719505211571,-14.92858211530256,-14.776924447069177},
+{-17.406652966456022,-19.845821916504065,-19.700861773628276,-19.15075685008196,-18.584614240331575,-18.047757899708813,-17.647018541785656,-17.380491906340467,-17.091373678063974,-16.817816749418853,-16.576155251153978,-16.353135286743054,-16.140358502947493,-15.940555081062485,-15.75432146777166,-15.580991770111723,-15.419134602503618,-15.267245872499188,-15.124352633632952,-14.969814571959432,-14.817667351773707},
+{-17.455610764576704,-19.901506429741858,-19.75617552609765,-19.204347420629347,-18.636523443943588,-18.098101009847596,-17.69617778583779,-17.42876907659229,-17.138873049785616,-16.864477974100737,-16.62221474936814,-16.398528061428806,-16.18506688447087,-15.984659994050162,-15.79787955363281,-15.624053528241348,-15.461730442126282,-15.309401092701592,-15.16609682541457,-15.011157415137859,-14.858519044326385},
+{-17.50470808224054,-19.95734765805537,-19.811646122601815,-19.25808762406814,-18.68857665878022,-18.148582466004882,-17.74547171461745,-17.477176777931163,-17.186500638490543,-16.911267554096412,-16.668399771442637,-16.444042615796207,-16.229895196622238,-16.028882969956612,-15.841554398095468,-15.667230567429215,-15.504440053773578,-15.351668696734123,-15.207952348893741,-15.052610873623053,-14.89947977400152},
+{-17.553945319581544,-20.013346052903216,-19.867273979034508,-19.31197785108816,-18.74077425757423,-18.199202620919095,-17.794900649721967,-17.525715326075442,-17.23425672049052,-16.958185820723884,-16.714710641244892,-16.489679221383994,-16.274843728460837,-16.073224282998126,-15.885346280265367,-15.710523164045298,-15.547263690124964,-15.394048947171541,-15.249919456313364,-15.094175177189754,-14.940549772465602},
+{-17.60332287744677,-20.069502073456533,-19.92305951565504,-19.36601850646548,-18.793116608110722,-18.249961833207635,-17.844464923487976,-17.57438504396123,-17.282141576200956,-17.005233117670286,-16.761147672048537,-16.53543816364254,-16.319912765844492,-16.117684222845128,-15.929255494469544,-15.75393159763189,-15.590201614162652,-15.436542129289592,-15.291998416185379,-15.135850564809516,-14.981729286868358},
+{-17.652841155446367,-20.125816180021502,-19.979003148851916,-19.42020998056978,-18.845604084286606,-18.300860442774137,-17.894164859812008,-17.623186250741128,-17.330155492702033,-17.052409788710065,-16.807711191504495,-16.581319717224687,-16.36510259786155,-16.162263064470608,-15.973282328341156,-15.7974561440642,-15.633254100364866,-15.479148510319646,-15.334189495100873,-15.177637258166214,-15.023018566367682},
+{-17.70250055989891,-20.182288831972983,-20.035105304355966,-19.474552682659123,-18.898237067187438,-18.351898815337336,-17.94400080034393,-17.67211927298922,-17.378298750612885,-17.099716165481368,-16.854401516058715,-16.627324153116206,-16.41041351761669,-16.20696109891287,-16.01742706503137,-15.841097075433936,-15.6764214108116,-15.521868367563002,-15.376492951792898,-15.219535500829807,-15.06441783873015},
+{-17.752301493674167,-20.23892048903508,-20.091366399108665,-19.529047000512946,-18.951015928876586,-18.40307729251799,-17.993973067437764,-17.721184428664856,-17.4265716385853,-17.14715259236982,-16.90121896797791,-16.673451764218044,-16.455845811986364,-16.25177860810072,-16.06168999779038,-15.884854670701316,-15.719703797949478,-15.564701981609687,-15.418909053289099,-15.26154549754574,-15.105927347554825},
+{-17.80224436224671,-20.295711615210166,-20.147786859452026,-19.583693343156483,-19.003941043367377,-18.454396237269975,-18.04408199962927,-17.77038204247947,-17.474974435579497,-17.194719399121823,-16.94816387319588,-16.71970282107941,-16.50139977253275,-16.296715874952497,-16.10607140394859,-15.928729194914922,-15.76310154152452,-15.607649620622396,-15.461438059370266,-15.303667480417062,-15.147547318396391},
+{-17.85232957234257,-20.352662674093153,-20.20436710352078,-19.6384921069548,-19.05701278327615,-18.505856005096575,-18.09432793324231,-17.81971244030865,-17.523507440229878,-17.24241692639771,-16.995236547023524,-16.766077611624496,-16.547075689566555,-16.341773195104906,-16.1505715844105,-15.972720939142164,-15.806614901666762,-15.650711572758155,-15.504080231126864,-15.34590165806003,-15.18927798079676},
+{-17.90255753234669,-20.409774131752783,-20.261107556463685,-19.693443694151938,-19.110231529921293,-18.557456942711724,-18.14471119910013,-17.869175953936065,-17.57217092748033,-17.290245505573694,-17.042437313415576,-16.812576413038187,-16.592873849527678,-16.386950842133956,-16.195190811908105,-16.016830168518936,-15.850244140194263,-15.693888105277438,-15.54683583448059,-15.388248246745206,-15.231119569565635},
+{-17.952928649174282,-20.467046454985393,-20.31800864386605,-19.748548512521666,-19.163597659266088,-18.60919941854081,-18.195232138590654,-17.918772903067293,-17.6209651955578,-17.33820547364303,-17.089766493212664,-16.859199516678927,-16.638794537924696,-16.432249118515756,-16.239929380913964,-16.06105716075399,-15.893989527481608,-15.737179508520057,-15.589705133839743,-15.430707454273943,-15.273072316369507},
+{-18.003443336550845,-20.524480112595484,-20.375070792622864,-19.803806958225323,-19.217111557198223,-18.661083783576032,-18.245891094236868,-17.968503622338176,-17.669890540157212,-17.386297156917863,-17.13722441374557,-16.905947209568694,-16.684838054556167,-16.477668306150008,-16.28478757836274,-16.105402194312774,-15.937851330527337,-15.780586060864152,-15.632688392011914,-15.473279491212452,-15.315136441378854},
+{-18.054102003370645,-20.582075574813643,-20.43229442971642,-19.859219441539608,-19.270773589320015,-18.713110396289267,-18.296688402595464,-18.01836843712954,-17.71894724262529,-17.434520893235458,-17.184811385552166,-16.952819769794587,-16.731004681583727,-16.523208692204207,-16.32976568758022,-16.14986554297502,-15.981829807016766,-15.824108023691224,-15.675785859581083,-15.515964563179296,-15.357312170584919},
+{-18.104905062369653,-20.639833308348898,-20.489679977676133,-19.91478636377724,-19.32458414498251,-18.76527961838292,-18.347624408634147,-18.068367679428775,-17.768135604070267,-17.482876997906715,-17.232527731976006,-16.99981749188737,-16.777294713567244,-16.568870573159074,-16.374864004261326,-16.1944474724296,-16.0259252388787,-15.867745703319088,-15.71899781387765,-15.55876287072897,-15.399599731928902},
+{-18.155852929732646,-20.697753790562274,-20.54722786997445,-19.970508135447744,-19.378543602098944,-18.817591808154248,-18.398699461395154,-18.118501690245466,-17.817455927230185,-17.531365817645565,-17.28037377964938,-17.046940671047196,-16.823708444513613,-16.61465424322523,-16.420082810509484,-16.239148276596097,-16.07013789084158,-15.91149936261354,-15.762324513751082,-15.60167461266974,-15.441999356640736},
+{-18.206946017220616,-20.7558374935179,-20.604938532807864,-20.026385159726487,-19.432652340066852,-18.870047325937776,-18.449913903459674,-18.168770786607638,-17.86690849720617,-17.57998766019591,-17.328349840041483,-17.094189588271547,-16.870246153441258,-16.660559985088184,-16.465422384935664,-16.283968228264712,-16.114468028506963,-15.955369292525575,-15.805766221572412,-15.644699993223185,-15.484511252812808},
+{-18.25818474314292,-20.81408489079331,-20.66281239798991,-20.082417841418646,-19.486910743027693,-18.922646530234488,-18.50126808290952,-18.219175318750786,-17.91649362182943,-17.628742860630155,-17.376456235913793,-17.141564539982937,-16.91690813587047,-16.706588100612862,-16.510883021255722,-16.328907588671427,-16.15891591773834,-15.999355756357545,-15.84932318990468,-15.687839198450092,-15.527135648822878},
+{-18.309569524906692,-20.87249646021519,-20.720849895384163,-20.13860659499187,-19.5413191934349,-18.97538978990633,-18.552762361068744,-18.26971561429673,-17.966211599792587,-17.677631743135862,-17.424693283857778,-17.189065818180097,-16.96369468930061,-16.75273888860829,-16.556465002620826,-16.373966650658986,-16.2034818410757,-16.043459054693813,-15.892995693779085,-15.731092442263616,-15.56987277159351},
+{-18.36110078112688,-20.931072679231875,-20.779051457357127,-20.194951829267666,-19.595878071442712,-19.028277469507884,-18.604397082177456,-18.320392012421507,-18.01606273636571,-17.726654621743364,-17.473061292548664,-17.23669371739379,-17.010606098920107,-16.799012641480658,-16.602168629149674,-16.41914567159256,-16.248166062141536,-16.087679457617924,-15.936783992423443,-15.774459907232085,-15.612722837016918},
+{-18.41277893142251,-20.989814026281238,-20.837417515402194,-20.251453949545976,-19.650587765296223,-19.081309914879967,-18.656172606133623,-18.371204850875074,-18.066047336324118,-17.775811821426032,-17.521560592664173,-17.284448537160642,-17.05764266726328,-16.845409645466134,-16.64799416443566,-16.464444957702653,-16.29296886661905,-16.132017245108727,-15.980688349285629,-15.817941783665447,-15.65568607460591},
+{-18.464604398337542,-21.048720982274972,-20.89594850319554,-20.308113369479543,-19.705448653694475,-19.13448750815587,-18.708089289313648,-18.42215446429327,-18.116165696730604,-17.825103659764864,-17.57019148377003,-17.3323305681115,-17.104804654663894,-16.891930205281824,-16.693941908568377,-16.509864761930658,-16.337890510621946,-16.176472696039127,-16.024709016579436,-15.861538278084481,-15.69876269789529},
+{-18.516577602000325,-21.107794028619537,-20.954644858604297,-20.364930500014452,-19.760461128607858,-19.187810610921588,-18.760147496999707,-18.473241206578678,-18.16641813790193,-17.87453045687289,-17.618954294070136,-17.380340116855223,-17.152092389005702,-16.93857462858432,-16.74001215311,-16.555405368912034,-16.382931286090752,-16.221046100341482,-16.06884626977262,-15.905249582225224,-15.741952942713397},
+{-18.568698968971148,-21.16703365041758,-21.013507012976333,-20.421905756287742,-19.815625575836748,-19.241279584297445,-18.812347597646294,-18.524465407215757,-18.21680496877525,-17.924092532572104,-17.667849330056924,-17.428477470879443,-17.199506147269858,-16.985343209526036,-16.786205178243108,-16.60106706302031,-16.428091471723747,-16.265737730864203,-16.113100372604094,-15.949075895710848,-15.785257035779068},
+{-18.620968922259635,-21.2264403271256,-21.072535408398835,-20.47903955291258,-19.87094237713609,-19.294894799910253,-18.86468995246105,-18.575827416585525,-18.267326497938484,-17.973790191987064,-17.716876900900388,-17.47674294488388,-17.247046223463258,-17.03223625049577,-16.832521275879117,-16.646850118529983,-16.473371339263394,-16.310547872737516,-16.157471590820933,-15.9930174179608,-15.828675183351152},
+{-18.673387888629804,-21.286014548066305,-21.131730473629432,-20.53633229646948,-19.926411924214335,-19.34865662199445,-18.917174928967142,-18.62732757383492,-18.31798304230324,-18.02362375552184,-17.766037322988268,-17.52513683156576,-17.2947129161912,-17.0792540483817,-16.878960726142395,-16.6927548131207,-16.518771180475596,-16.35547679910087,-16.20196017512353,-16.037074326595757,-15.872207634936785},
+{-18.72595629436546,-21.345756799681112,-21.19109265273437,-20.59378441082663,-19.982034604850924,-19.40256542232237,-18.96980290254578,-18.678966224222677,-18.368774914299138,-18.073593532230007,-17.815330904559232,-17.57365943293553,-17.342506512475666,-17.126396906911395,-16.92552382100257,-16.73878143238835,-16.564291266346117,-16.400524794386,-16.246566404850455,-16.081246849062154,-15.91585461347131},
+{-18.778674570276053,-21.405667569488287,-21.250622381980065,-20.65139630905469,-20.037810808076756,-19.45662156806793,-19.02257425271091,-18.730743717576843,-18.41970243238029,-18.123699844174553,-17.864757954957895,-17.622311058657942,-17.390427312639076,-17.173665133159375,-16.972210856096353,-16.784930255264044,-16.60993188933935,-16.445692150620744,-16.29129054333316,-16.125535166356713,-15.95961636249558},
+{-18.83154314447893,-21.465747347130673,-21.310320101852994,-20.709168401750503,-20.09374092138023,-19.510825420788024,-19.075489352748264,-18.78266039394657,-18.470765917823883,-18.173942991590593,-17.9143187784357,-17.6710920020123,-17.438475603732513,-17.22105902421754,-17.01902209990658,-16.831201554916333,-16.65569332888117,-16.49097911635181,-16.336132850323338,-16.169939484534552,-16.00349309365265},
+{-18.884562447914504,-21.525996622629464,-21.370186253858265,-20.767101116944104,-20.14982534054434,-19.565177369717276,-19.128548586944817,-18.83471660714713,-18.52196569085936,-18.224323283327976,-17.96401368259103,-17.72000258375192,-17.48665169373271,-17.268578899092972,-17.065957867947873,-16.877595617464976,-16.701575882179895,-16.536386003455846,-16.381093592877733,-16.21446002050652,-16.047485077404417},
+{-18.93773291488469,-21.586415888159536,-21.430221278744284,-20.82519486331148,-20.206064446247183,-19.61967776567326,-19.18175233443617,-18.886912702495465,-18.57330207596533,-18.274841040198226,-18.013842976506567,-17.769043104402954,-17.53495586189092,-17.316225051123183,-17.113018427829957,-16.92411272463505,-16.7475798324449,-16.58191306804656,-16.426173041341826,-16.259096962952754,-16.091592533746734},
+{-18.991054977479507,-21.647005638835253,-21.49042561944225,-20.883450073335553,-20.262458645389415,-19.674326994805597,-19.235100992867956,-18.93924903377774,-18.624775399279315,-18.32549656528863,-18.063806962018134,-17.81821387456148,-17.583388419938274,-17.363997797918273,-17.160204092331696,-16.970753157162108,-16.793705464544473,-16.627560610097134,-16.47137146772002,-16.30385053975624,-16.135815722256666},
+{-19.04452907157247,-21.707766365230782,-21.550799720251234,-20.94186715516844,-20.319008323654998,-19.72912542373524,-19.288594941812335,-18.991725950094406,-18.67638598062331,-18.376290161977522,-18.113905945210718,-17.86751520249527,-17.631949652917683,-17.41189743959694,-17.207515134679852,-17.017517197848065,-16.83995307859732,-16.673328884731745,-16.51668912457535,-16.348720943991793,-16.18015487806406},
+{-19.098155632149428,-21.76869856598205,-21.61134402200696,-21.000446534133516,-20.37571386914351,-19.784073423972586,-19.342234585492406,-19.04434379452141,-18.728134156845044,-18.427222148427973,-18.16414022957906,-17.91694739452214,-17.680639874539338,-17.45992428919999,-17.254951850161888,-17.064405121811433,-16.88632296770811,-16.719218185840873,-16.56212630547816,-16.393708413874265,-16.22461027224199},
+{-19.151935098518152,-21.82980273826979,-21.672058975178516,-21.059188634419115,-20.43257568316767,-19.83917138489778,-19.396020317450166,-19.097102932806592,-18.780020256672287,-18.478292825515382,-18.214510110381525,-17.96651077424758,-17.72945937133045,-17.508078659011517,-17.302514547336614,-17.11141722506727,-16.932815424486762,-16.76522879433469,-16.607683265174273,-16.43881315778708,-16.269182151561836},
+{-19.205867908123764,-21.89107937697554,-21.732945019815816,-21.118093874509213,-20.489594160899287,-19.894419658667175,-19.449952528986614,-19.150003713177284,-18.83204460973502,-18.529502498393413,-18.265015898476122,-18.016205646825256,-17.778408445592504,-17.556360858347034,-17.35020350164268,-17.158553775050677,-16.979430739273084,-16.81136097444687,-16.65336027313606,-16.484035389119526,-16.313870759797283},
+{-19.25995450031769,-21.952528985741083,-21.794002606213326,-21.177162686013617,-20.54676969148568,-19.949818641878664,-19.504031630291138,-19.20304648723686,-18.884207549359417,-18.580851479811827,-18.315657886705594,-18.066032331291353,-17.827487392147304,-17.604771197482478,-17.398019016807666,-17.205815068416996,-17.02616920764558,-16.857615020649973,-16.699157605529763,-16.529375352081843,-16.358676377421943},
+{-19.314195317710983,-22.01415206407546,-21.85523218396702,-21.236395487649133,-20.604102684592362,-20.005368695390644,-19.55825802561594,-19.256231614592252,-18.936509416409535,-18.632340076117544,-18.366436380922096,-18.115991145576118,-17.876696523599094,-17.653309992485447,-17.445961384742986,-17.253201379615348,-17.073031136387726,-16.903991205210332,-16.74507552679279,-16.574833264312474,-16.40359924986842},
+{-19.36859080287104,-22.075949111400405,-21.916634197870735,-21.29579270706745,-20.6615935243899,-20.061070206487784,-19.61263212605263,-19.30955944309244,-18.988950548140565,-18.683968600438675,-18.417351673007943,-18.16608239832567,-17.926036127697444,-17.701977550052106,-17.49403090175474,-17.300712983153062,-17.120016807311913,-16.950489791459404,-16.791114317195024,-16.620409370574635,-16.44863964727847},
+{-19.423141398860025,-22.137920631910674,-21.978209100518143,-21.355354769766564,-20.719242614053655,-20.1169235536654,-19.667154332477367,-19.363030333595816,-19.041531271621352,-18.7357373535051,-18.46840406116098,-18.21630641593947,-17.975506515271263,-17.75077419623267,-17.54222787200706,-17.348350175045198,-17.16712652426213,-16.997111082659103,-16.837274246296147,-16.66610391312861,-16.493797844974324},
+{-19.47784755282919,-22.20006713256589,-22.039957343949936,-21.415082107589114,-20.777050354954554,-20.172929115768056,-19.72182506878744,-19.416644656390417,-19.09425195073709,-18.78764665251947,-18.519593857199652,-18.266663518821588,-18.025108000205364,-17.799700238771038,-17.590552595444024,-17.39611324330326,-17.214360602927627,-17.043855336640263,-16.883555599488318,-16.711917127657216,-16.53907410224201},
+{-19.53270970705489,-22.26238911386463,-22.101879374065902,-21.474975144665223,-20.835017145931488,-20.229087271232856,-19.77664474589983,-19.470402750303037,-19.147112906503025,-18.839696801296668,-18.570921337930486,-18.317154025367927,-18.07484086675686,-17.848755993909435,-17.639005353470566,-17.444002454867586,-17.261719320347765,-17.090722849039594,-16.92995863503893,-16.757849280256778,-16.584468686254695},
+{-19.587728312486433,-22.32488708430901,-22.163975643576123,-21.535034311091295,-20.89314338332042,-20.285398396721575,-19.831613776565064,-19.52430498789181,-19.200114490406122,-18.891888114158064,-18.622386812930927,-18.36777825129684,-18.12470541987568,-17.897941769479075,-17.687586454238044,-17.49201810557861,-17.309202970500337,-17.137713873002212,-16.976483625592664,-16.803900591214187,-16.629981876001693},
+{-19.642903818603372,-22.38756155371084,-22.226246613106923,-21.595260038069682,-20.95142947920249,-20.34186288053752,-19.88673259256757,-19.578351723903324,-19.253257054515416,-18.94422090385342,-18.67399057612056,-18.41853652530699,-18.174701983836712,-17.94725789761287,-17.736296201386722,-17.54016047526966,-17.356811883248156,-17.184828703815583,-17.02313085953938,-16.850071360298898,-16.67561395006487},
+{-19.698236673357314,-22.450413028680487,-22.28869273062446,-21.655652762245154,-21.009875822783215,-20.398481110314606,-19.942001602379605,-19.63254332463839,-19.30654094167403,-18.996695476176683,-18.72573291824665,-18.469429171818774,-18.224830841383664,-17.996704691526247,-17.785134889156325,-17.588429847644875,-17.404546335950727,-17.23206762195332,-17.069900614966173,-16.896361836232245,-16.721365175093524},
+{-19.753727329021785,-22.513442018738715,-22.351314452680526,-21.716212906176224,-21.068482825066894,-20.455253456777427,-19.997421235602815,-19.686880151362857,-19.359966498654103,-19.04931215016404,-18.77761413960252,-18.52045651600929,-18.27509231856675,-18.04628245445201,-17.834102808323223,-17.636826514615677,-17.452406627126038,-17.279430893191602,-17.116793150547892,-16.942772267619148,-16.76723583327839},
+{-19.809376243676525,-22.57664904172998,-22.414112238329835,-21.77694091279409,-21.127250890334835,-20.512180315708974,-20.052991921344073,-19.74136257005739,-19.413534082239494,-19.102071244938998,-18.82963453180855,-18.57161888346309,-18.32548671020777,-18.095991517941002,-17.88320027309237,-17.685350757761626,-17.500393067952245,-17.32691880117636,-17.16380875761388,-16.989302953879815,-16.81322622706648},
+{-19.86518386262469,-22.64003459661035,-22.477086538623553,-21.837837206287077,-21.18618042342132,-20.569262064032955,-20.1087140799209,-19.7959909447236,-19.46724403440021,-19.154973063064972,-18.881794387911214,-18.62291659080074,-18.37601432777592,-18.14583219270571,-17.932427570369327,-17.734002861659974,-17.54850595392054,-17.374531620240305,-17.210947702871636,-17.035954148392193,-16.85933661699528},
+{-19.921150645939633,-22.70359920815099,-22.5402378118888,-21.898902228014776,-21.24527182150632,-20.626499092322774,-20.16458814201178,-19.8507656424772,-19.521096722892253,-19.20801793859573,-18.93409400858218,-18.67434997324017,-18.426675478200195,-18.195804792514537,-17.981785007868893,-17.782783124916023,-17.59674558416009,-17.422269633272663,-17.258210278872866,-17.082726157910656,-16.90556730690878},
+{-19.977277051701094,-22.767343385639833,-22.60356652145856,-21.960136413457803,-21.304525499697775,-20.6838917939167,-20.220614532852778,-19.90568703066674,-19.57509249242139,-19.26120618294226,-18.986533676012186,-18.72591936282697,-18.47747047827579,-18.245909654477146,-18.031272882508347,-17.83169182483107,-17.64511225721799,-17.470133122056723,-17.30559674813412,-17.129619255953003,-16.9519185986137},
+{-20.033563534438144,-22.831267643079627,-22.667073122313013,-22.021540197369177,-21.36394186297548,-20.741440538171446,-20.276793684490258,-19.960755481326487,-19.629231706814608,-19.314538108563283,-19.039113689010264,-18.777625074784737,-18.52839962451253,-18.296147072222084,-18.080891486490145,-17.880729256372433,-17.693606278684456,-17.518122352019418,-17.353107389586512,-17.17663371609524,-16.99839078099467},
+{-20.090010557178175,-22.89537250107969,-22.73075807886198,-22.08311402145773,-21.42352131687221,-20.799145735159982,-20.33312602600199,-20.015971367625752,-19.683514720993116,-19.368014054052765,-19.09183434949955,-18.829467454866972,-18.57946323780925,-18.346517376805423,-18.13064112662687,-17.929895717068575,-17.742227944545448,-17.566237621940672,-17.40074249380268,-17.223769866279326,-17.04498418222647},
+{-20.14661857917963,-22.95965847664047,-22.79462184853037,-22.144858321698848,-21.48326427928987,-20.857007762941066,-20.389611999504268,-20.071335062908474,-19.73794189657201,-19.421634336176794,-19.144695938302903,-18.881446819461416,-18.630661628121743,-18.397020890872227,-18.180522104143165,-17.979191491031088,-17.79097755998373,-17.614479198586196,-17.44850233150646,-17.27102796989493,-17.091699102369603},
+{-20.203388061388978,-23.024126086209435,-22.858664895786205,-22.20677353432984,-21.543171150551643,-20.91502701412537,-20.446252020279644,-20.126846935716458,-19.792513590859016,-19.475399279792327,-19.1976987553644,-18.93356349755777,-18.68199509877013,-18.447657918615732,-18.230534703703597,-18.028616876050364,-17.83985540823778,-17.662847361934837,-17.496387179300655,-17.318408347957302,-17.138535861915443},
+{-20.260319469554815,-23.088775849959347,-22.92288768425351,-22.26886011249735,-21.603242342098383,-20.973203884641407,-20.50304653091007,-20.18250736722257,-19.847230170998955,-19.5293092065549,-19.250843087938847,-18.985817830689484,-18.733463966287673,-18.498428787424928,-18.280679238785524,-18.078172171546612,-17.888861812942196,-17.71134240052197,-17.544397329271305,-17.3659113018075,-17.185494802542962},
+{-20.317413266879157,-23.153608290915145,-22.987290677265264,-22.33111848452245,-21.663478267146274,-21.031538753391942,-20.55999595593312,-20.238316738483263,-19.902091998024844,-19.583364451886155,-19.304129236668814,-19.03821014732239,-18.785068547556875,-18.549333815841237,-18.33095600438537,-18.127857664891053,-17.937997053551953,-17.759964588447474,-17.592533050104976,-17.413537124055438,-17.23257624800317},
+{-20.37466992205009,-23.21862392948242,-23.051874341472285,-22.393549099127995,-21.72387933798018,-21.09003203647444,-20.617100737581495,-20.29427542933263,-19.95709944536793,-19.637565348821227,-19.357557492679916,-19.090740771964192,-18.83680915669538,-18.600373313878663,-18.38136530801421,-18.177673671219964,-17.987261443398893,-17.808714217098895,-17.640794641978573,-17.46128614578629,-17.279780552431475},
+{-20.43208989908453,-23.283823286532424,-23.116639139218023,-22.456152397353435,-21.784445973898983,-21.14868410176132,-20.674361300625606,-20.350383821234573,-20.01225287115085,-19.69191222282825,-19.41112814587541,-19.143410042859614,-18.888686098944163,-18.651547601737548,-18.43190743861487,-18.22762048279401,-18.0366552657797,-17.85759156459244,-17.68918236711761,-17.509158661123365,-17.32710806047544},
+{-20.489673668911564,-23.34920688829152,-23.181585541489767,-22.518928827659693,-21.845178576855687,-21.207495361799374,-20.731778082146775,-20.406642300920794,-20.067552647698903,-19.74640541471308,-19.464841498236638,-19.196218286000658,-18.940699703933205,-18.702857003954705,-18.48258269717917,-18.277698403398972,-18.086178827972617,-17.906596909859218,-17.737696526630316,-17.55715500190854,-17.374559144023806},
+{-20.54742170040845,-23.414775258948794,-23.2467140124063,-22.581878832017537,-21.90607756827376,-21.266466212749947,-20.789351510466076,-20.463051253726007,-20.122999138897285,-19.80104525553179,-19.518697830470046,-19.2491658385552,-18.992850279377308,-18.75430183269782,-18.53339139703894,-18.327907739963848,-18.135832436266355,-17.955730543239042,-17.786337398341857,-17.60527547937818,-17.422134167863987},
+{-20.60533446590125,-23.480528919986682,-23.312025021616137,-22.645002854143968,-21.96714336241712,-21.325597035203828,-20.847082017717184,-20.519611068884842,-20.178592720709275,-19.85583207590389,-19.572697452735156,-19.30225302663166,-19.045138131652493,-18.80588239739882,-18.58433383179363,-18.37824879278196,-18.185616366157774,-18.00499274005415,-17.835105259960983,-17.65352039108984,-17.469833500450477},
+{-20.663412438108935,-23.546468404092593,-23.377519041416235,-22.70830134951393,-22.028376375004882,-21.384888245404,-20.90497003844939,-20.576322138454998,-20.234333763393806,-19.910766223591054,-19.626840650540544,-19.355480193189578,-19.097563595161773,-18.8575990278041,-18.63541029993212,-18.428721883276012,-18.235530932666734,-18.054383804788813,-17.884000419289805,-17.701890082855243,-17.517657531425357},
+{-20.721656091773184,-23.61259423784213,-23.443196540581994,-22.771774757275125,-22.0897770288866,-21.444340224639745,-20.963016002177028,-20.63318486267235,-20.290222636482213,-19.96584803223959,-19.68112772179302,-19.408847666549264,-19.150126983760856,-18.9094520372455,-18.68662110774312,-18.479327307315543,-18.28557643154636,-18.10390401101904,-17.933023154211696,-17.75038485910045,-17.56560664117569},
+{-20.780065900238696,-23.67890694757807,-23.50905799146858,-22.83542353316443,-22.151345734659117,-21.503953381441534,-21.021220340422587,-20.690199627482798,-20.34625971195055,-20.021077855781186,-19.735558963846415,-19.462355771887815,-19.2028286162531,-18.961441738414578,-18.737966555228923,-18.53006537660258,-18.335753146384377,-18.153553635522258,-17.982173758617137,-17.799005053762812,-17.61368121986743},
+{-20.838642343966058,-23.74540706211701,-23.575103865092387,-22.899248120113043,-22.213082913309336,-21.563728114881087,-21.07958347912063,-20.74736683437368,-20.402445367275504,-20.07645602436969,-19.79013466698234,-19.5160048478283,-19.25566881679697,-19.013568448543083,-18.789446951530408,-18.580936416692566,-18.386061392026022,-18.20333299000049,-18.03145251708338,-17.847750985529274,-17.661881666339468},
+{-20.897385898511857,-23.81209511353518,-23.641334636806278,-22.963248977583135,-22.274988989927806,-21.62366482440848,-21.138105856371112,-20.80468689533882,-20.458779984212015,-20.131982886552578,-19.844855140545405,-19.5697952384362,-19.30864790547639,-19.06583249825053,-18.841062600375153,-18.631940736086108,-18.436501457879785,-18.253242337377742,-18.08085973287234,-17.89662298129406,-17.7102083718637},
+{-20.956297042837832,-23.878971632919274,-23.707750779984053,-23.027426550892415,-22.337064376304625,-21.683763911394635,-21.19678789746831,-20.862160195421893,-20.515263921086444,-20.187658785202075,-19.899720675573917,-19.623727259109728,-19.361766205111053,-19.118234184395988,-18.892813786223996,-18.68307864642702,-18.48707362927962,-18.303281988599338,-18.130395699467044,-17.94562137342291,-17.758661726024002},
+{-21.015376261231722,-23.946037149551557,-23.77435276695178,-23.091781293362146,-22.39930950140115,-21.7440257682465,-21.255630026513245,-20.91978715235018,-20.57189756265143,-20.2434840677015,-19.95473157192464,-19.677801251062192,-19.415024027810432,-19.170773820602335,-18.944700837309938,-18.734350463957526,-18.537778205936775,-18.353452215960715,-18.180060699407477,-17.994746463256888,-17.807242120266892},
+{-21.07462403360114,-24.013292201037984,-23.841141079261433,-23.15631365979789,-22.461724785913248,-21.804450812924188,-21.314632684952812,-20.977568171918392,-20.62868128917762,-20.29945909284288,-20.009888129337924,-19.7320175524801,-19.468421727360692,-19.22345175157534,-18.99672405095771,-18.785756510624196,-18.58861549786525,-18.40375332062831,-18.2298550477135,-18.043998619541526,-17.85594995354768},
+{-21.134040844073752,-24.080737318348838,-23.908116192149464,-23.221024107391713,-22.524310651177075,-21.865039442491252,-21.37379629095085,-21.035503665392753,-20.685615474765655,-20.355584192991955,-20.065190632652957,-19.786376485193614,-19.52195960719837,-19.27626827324275,-19.04888372682035,-18.83729710272746,-18.639585784461815,-18.45418558496749,-18.279779026517645,-18.093378139776178,-17.9047855954268},
+{-21.193627176326117,-24.148373035597615,-23.975278581958264,-23.28591308556497,-22.58706752071157,-21.925792050227756,-21.433121272275457,-21.093594036385184,-20.742700493574375,-20.411859724321403,-20.12063941330416,-19.840878387039993,-19.575638006266672,-19.329223706328776,-19.101180172292516,-18.888972559943795,-18.69068936316762,-18.504749297280796,-18.329832932155114,-18.142885360866785,-17.953749423206318},
+{-21.25338351742539,-24.21619988803286,-24.04262872930849,-23.350981051422423,-22.64999581873417,-21.986709060205612,-21.492608066822868,-21.151839715137612,-20.79993672805722,-20.468286050338065,-20.176234745245893,-19.89552360161906,-19.629457244765945,-19.38231838052161,-19.15361369360471,-18.940783213824034,-18.741926539805718,-18.55544477107469,-18.380017086979933,-18.192520622862503,-18.00284182484029},
+{-21.313310358920717,-24.284218411979964,-24.110167116683442,-23.41622846570681,-22.71309597644722,-22.047790856915526,-21.552257092116633,-21.210241106222384,-20.857324555079686,-20.52486350852996,-20.23197694052942,-19.950312440749258,-19.683417655003723,-19.435552587441634,-19.20618459506659,-18.99272936489433,-18.79329759266693,-18.60627226019278,-18.43033176654717,-18.242284232983366,-18.052063130948227},
+{-21.373408187864698,-24.352429150079843,-24.177894223714247,-23.48165578604676,-22.77636841792264,-22.109037859889213,-21.612068778340472,-21.268798632750986,-20.914864351798315,-20.58159246420837,-20.28786630189279,-20.00524525094079,-19.73751956835622,-19.488926670863293,-19.25889317842666,-19.044811344821937,-18.8448028214043,-18.65723208419513,-18.480777282151394,-18.292176530929282,-18.10141371365171},
+{-21.433677494133008,-24.42083263283712,-24.24581053177826,-23.547263466462027,-22.83981356775621,-22.17045047256397,-21.67204356304137,-21.327512713178294,-20.972556501365034,-20.63847326397081,-20.34390312305186,-20.060322368517518,-19.791763321089093,-19.54244094126625,-19.311739748867694,-19.097029476368334,-18.896442532306537,-18.708324527658988,-18.53135392634431,-18.342197837366257,-18.15089390479261},
+{-21.494118770133355,-24.489429401612142,-24.31391652431921,-23.613051969965454,-22.903431853832444,-22.232029095524922,-21.732181850617053,-21.38638376785093,-21.030401374940993,-20.6955062650959,-20.400087718619034,-20.115544107800815,-19.846149243123364,-19.596095713670366,-19.364724618382752,-19.149384079733863,-18.948217006400228,-18.759549880342092,-18.582062008033972,-18.3923484752886,-18.20050404034555},
+{-21.55473250777868,-24.55821999613545,-24.382212685624836,-23.679021757561713,-22.967223709536484,-22.293774148478406,-21.792484089848585,-21.44541223073611,-21.08839935946162,-20.752691834466532,-20.456420386675745,-20.17091082734987,-19.90067766304128,-19.649891317123547,-19.417848085577134,-19.20187547558453,-19.00012654508464,-18.810908442887012,-18.632901829085313,-18.442628780030645,-18.25024444423616},
+{-21.615519206796307,-24.627204957039794,-24.450699503155192,-23.745173291303217,-23.03118956752587,-22.355686028429773,-21.852950703643728,-21.504598521307344,-21.146550832520006,-20.810030327003915,-20.51290143613005,-20.226422845444176,-19.95534892944852,-19.703828070079908,-19.471110461861826,-19.25450400117552,-19.052171443181578,-18.862400505226105,-18.6838736901409,-18.493039061431773,-18.300115427642595},
+{-21.67647935617424,-24.69638482289156,-24.519377459742827,-23.811507025704486,-23.095329849777045,-22.41776514722733,-21.913582111505093,-21.56394306960283,-21.20485617412487,-20.867522098124027,-20.5695311712916,-20.282080492936075,-20.0101633691811,-19.75790629297262,-19.52451204380486,-19.307269953365903,-19.104351986316033,-18.9140263608424,-18.73497789009707,-18.54357965500094,-18.350117287773173},
+{-21.737613459685235,-24.76576013705926,-24.588247042614967,-23.87802343585645,-23.159644994797418,-22.480011919134995,-21.974378749728203,-21.623446309764404,-21.263315763877472,-20.925167513720226,-20.626309893850703,-20.33788410341367,-20.06512132147327,-19.812126317992806,-19.578053147881292,-19.36017369030742,-19.156668496667407,-18.96578630671138,-18.78621475060936,-18.594250857655425,-18.4002503301017},
+{-21.798922011919785,-24.835331440961454,-24.657308743306203,-23.944722977437777,-23.224135426804423,-22.542426738596987,-22.035341032460565,-21.68310866394313,-21.321929983445443,-20.982966934272554,-20.683237914869096,-20.393834015005268,-20.12022312823683,-19.866488454164937,-19.631734075315762,-19.41321549913846,-19.20912124653114,-19.01768064039061,-18.83758453372866,-18.64505299978191,-18.45051481918199},
+{-21.86040551777114,-24.90509928035317,-24.726563049538527,-24.01160612012609,-23.288801590155344,-22.605010040628258,-22.09646940769744,-21.74293057405157,-21.380699212662876,-21.04092073260108,-20.740315546281636,-20.449930564849637,-20.17546913237311,-19.92099303402938,-19.685555135889445,-19.46639572834829,-19.261710546677932,-19.069709665083792,-18.88908759120386,-18.695986402162816,-18.500911056995392},
+{-21.922064476049854,-24.975064195110463,-24.796010449208552,-24.07867332090973,-23.35364391640178,-22.667762209224747,-22.157764287665486,-21.80291247263085,-21.43962383334292,-21.099029259057716,-20.7975430857623,-20.50617407547543,-20.230859667120967,-19.97564037691336,-19.73951663490152,-19.519714687368833,-19.31443668261636,-19.121873666357715,-18.940724185667932,-18.747051374753937,-18.551439285627566},
+{-21.983899390266743,-25.04522673250176,-24.86565144074848,-24.14592505636392,-23.418662837182637,-22.73068367812084,-22.219226109446026,-21.86305479274597,-21.4987042316352,-21.157292889547534,-20.85492085776059,-20.562564882216975,-20.28639508440392,-20.030430824728683,-19.79361887689447,-19.573172708100174,-19.367299959412776,-19.17417296062922,-18.99249465682078,-18.798248238454107,-18.602099799958523},
+{-22.04591076694487,-25.11558743866044,-24.935486506612506,-24.21336178726051,-23.48385878300178,-22.793774853809737,-22.280855295801302,-21.92335797296255,-21.557940783910453,-21.215711987926625,-20.91244915977586,-20.61910332349362,-20.342075722350273,-20.08536468684906,-19.84786217502551,-19.626770116272382,-19.420300677767955,-19.22660783858737,-19.044399280508514,-18.84957729902817,-18.652892839629203},
+{-22.108099110773765,-25.186146853287937,-25.005516149976756,-24.280983981268946,-23.549232197983656,-22.857036128087202,-22.342652275809087,-21.983822454465553,-21.617333867237903,-21.27428692020476,-20.970128316723276,-20.675789725559298,-20.397901919845026,-20.140442305244505,-19.902246838028077,-19.6805072191637,-19.473439130815677,-19.279178596334532,-19.0964383733226,-18.901038850017358,-18.703818646201398},
+{-22.170464927796274,-25.256905530346557,-25.07574085757369,-24.3487921138003,-23.614783521246864,-22.92046794630005,-22.40461748058442,-22.044448670494603,-21.67688387754606,-21.333018069446553,-21.027958632912487,-20.732624424272217,-20.45387403620407,-20.1956639898126,-19.956773178942967,-19.734384351002518,-19.52671562397154,-19.331885555118788,-19.14861224917695,-18.952633225359023,-18.75487747445004},
+{-22.233008729599533,-25.327864013670478,-25.146161132171983,-24.41678664923529,-23.68051319089136,-22.9840706960822,-22.46675134054385,-22.10523706843378,-21.736591193592176,-21.391905787633732,-21.08594042342156,-20.789607757877093,-20.50999240652891,-20.251030085084494,-20.011441501090303,-19.788401829835493,-19.58013045747066,-19.384729015175253,-19.20092119666515,-19.004360723367427,-18.80606957327109},
+{-22.295731025311397,-25.3990228525945,-25.216777465480845,-24.4849680577463,-23.746421639283653,-23.04784480051603,-22.529054288985208,-22.16618808460771,-21.796456191164907,-21.450950464932248,-21.144074008974712,-20.846740047913045,-20.56625738600269,-20.30654090840835,-20.06625212961808,-19.842559977376368,-19.63368392031407,-19.43770927801961,-19.253365533950273,-19.05622165184468,-18.85739516961621},
+{-22.358632326868246,-25.470382591505768,-25.28759035791154,-24.553336811892223,-23.812509307375876,-23.111790678754915,-22.591526748496108,-22.227302164159482,-21.856479267647956,-21.510152458562516,-21.20235969760688,-20.90402164455736,-20.622669327887706,-20.362196801637765,-20.12120536447037,-19.896859113534447,-19.687376333924476,-19.490826647437643,-19.305945565283764,-19.10821631003637,-18.908854495442938},
+{-22.421713149436982,-25.541943785501644,-25.358600308041787,-24.621893386851298,-23.878776646073675,-23.175908741453895,-22.654169158195145,-22.288579751213547,-21.91666080954019,-21.569512160727754,-21.260797823488247,-20.96145287656691,-20.679228581895586,-20.417998077871744,-20.176301540399436,-19.95129957073368,-19.741207998653408,-19.544081438041758,-19.358661613136064,-19.16034501825925,-18.960447794990614},
+{-22.48497400477936,-25.613706979958806,-25.429807815729873,-24.690638253145153,-23.945224083872745,-23.24019940555445,-22.716981943813153,-22.350021277205087,-21.97700118838111,-21.629029941395856,-21.31938870169688,-21.01903407217469,-20.73593549011275,-20.473945079138502,-20.23154096509097,-20.005881656019483,-19.79517920257058,-19.597473972826265,-19.411513971630484,-19.212608070170972,-19.012175267969724},
+{-22.548415410492453,-25.685672727238853,-25.501213380281115,-24.75957187806489,-24.011852070892928,-23.30466307187453,-22.779965530731715,-22.411627202876844,-22.037500800390262,-21.68870616197819,-21.37813263660064,-21.07676556071965,-20.792790407373104,-20.530038103461266,-20.286923946870957,-20.06060568592511,-19.84929025103338,-19.651004538522102,-19.464502949966118,-19.265005744236987,-19.064037139178254},
+{-22.612037882965524,-25.75784157923772,-25.57281751121627,-24.828694746276597,-24.078661053063115,-23.36930017825216,-22.843120371806435,-22.47339796234155,-22.09816003841115,-21.748541222244967,-21.437029983382672,-21.134647694474552,-20.849793698522262,-20.586277525755577,-20.34245083242422,-20.11547199380584,-19.903541464183945,-19.704673469241243,-19.51762887975201,-19.31753839418525,-19.116033645521384},
+{-22.67584194338997,-25.830214085232,-25.64462070146692,-24.89800732844742,-24.14565146397217,-23.434111135924468,-22.90644687670283,-22.535333997453563,-22.158979281783104,-21.80853549647145,-21.49608103663195,-21.192680802196264,-20.90694570663618,-20.642663645965513,-20.398121923964936,-20.17048088723095,-19.957933137600776,-19.75848107074853,-19.5708920591278,-19.37020629190374,-19.16816497372929},
+{-22.739828110061353,-25.902790798485512,-25.716623463726137,-24.967510102753295,-24.212823754700366,-23.49909634576761,-22.96994548596558,-22.597435754491016,-22.219958928821143,-21.86868935485836,-21.555286148330197,-21.250865217414685,-20.964246786374133,-20.699196788016707,-20.453937547979876,-20.2256326903007,-20.012465578329284,-19.812427650264,-19.624292788037565,-19.42300973192323,-19.220431322522927},
+{-22.803996906397515,-25.975572273047874,-25.788826302043162,-25.03720354117104,-24.280178370070644,-23.564256245386787,-23.03361663548276,-22.659703683224507,-22.28109936544206,-21.929003192170057,-21.614645619003568,-21.309201269526966,-21.02169729938032,-20.75587729254039,-20.509898045042064,-20.28092771646334,-20.06713908392703,-19.866513539513107,-19.677831405366305,-19.475949042767752,-19.272832908900455},
+{-22.86834885526332,-26.048559060844127,-25.86122972256271,-25.107088125369046,-24.347715761570726,-23.629591239092406,-23.09746075468138,-22.72213822475169,-22.34240098349983,-21.98947738163406,-21.6741598045337,-21.367689309525304,-21.079297600139398,-20.812705481192097,-20.566003735293634,-20.336366286035627,-20.121953970752656,-19.920739038847387,-19.731508210592438,-19.529024514136836,-19.325369915226474},
+{-22.932884482841473,-26.121751718223095,-25.933834231604123,-25.177164333610563,-24.41543636942515,-23.6951017541287,-23.161478281137533,-22.784739821683615,-22.403864183987025,-22.05011231545359,-21.7338290286134,-21.426329666224774,-21.13704803667497,-20.869681693904568,-20.6222549493541,-20.39194871892687,-20.1769105453277,-19.975104479817674,-19.78532353724586,-19.58223647577688,-19.378042545111384},
+{-22.9976043132192,-26.19515079734265,-26.006640341860475,-25.247432644537184,-24.483340643462725,-23.760788206855068,-23.225669642008143,-22.847508921578992,-22.4654893593397,-22.11090837995289,-21.79365361353848,-21.485122684098314,-21.19494898035191,-20.926806245581247,-20.67865202878602,-20.44767533126287,-20.232009117433336,-20.029610169993248,-19.839277678227518,-19.63558521948289,-19.430850969743915},
+{-23.06250887569331,-26.26875685469713,-26.079648562154034,-25.317893541388912,-24.55142903039814,-23.826651008508634,-23.290035265497863,-22.91044595959829,-22.52727690077154,-22.171865949756466,-21.853633906459436,-21.544068689690903,-21.25300077762222,-20.98407946433872,-20.735195299610496,-20.503546432068106,-20.287249980610795,-20.08425642742077,-19.893370960722677,-19.68907104677055,-19.483795364620164},
+{-23.127598698381917,-26.342570446402533,-26.152859404915944,-25.38854750036262,-24.619701980700484,-23.8926905944827,-23.354575593199115,-22.973551390052307,-22.589227215677965,-22.232985426846426,-21.913770245504566,-21.603168040688615,-21.31120378919877,-21.041501687199343,-20.791885103739332,-20.55956233746838,-20.34263346181251,-20.13904358103173,-19.947603701555636,-19.742694301123265,-19.536875895864796},
+{-23.192874314132496,-26.416592129011406,-26.22627338502207,-25.45939500653185,-24.68815995269688,-23.958907369786175,-23.419291059835814,-23.036825654795393,-22.651340699580032,-22.294267194112763,-21.9740629591397,-21.662421061308123,-21.369558382430114,-21.099073244724423,-20.848721777438186,-20.615723379945848,-20.398159860866144,-20.19397194002522,-20.00197621359257,-19.796455270436127,-19.59009274787968},
+{-23.258336251383298,-26.490822460473282,-26.299891009257408,-25.530436537141213,-24.75680338923121,-24.025301759917056,-23.48418209241936,-23.1002691910835,-22.713617754750885,-22.355711643758696,-22.034512390499003,-21.721828099456616,-21.42806489870418,-21.156794454087503,-20.90570566052338,-20.672029853973072,-20.45382947602775,-20.249041832983494,-20.056488813075703,-19.8503542773542,-19.64344605972292},
+{-23.323985047536553,-26.56526199754444,-26.37371279936633,-25.601672584132757,-24.825632740132278,-24.091874195204582,-23.549249120638706,-23.163882448803633,-22.77605878264876,-22.417319166765083,-22.095118878525682,-21.78138949739514,-21.486723706650082,-21.214665662439074,-20.962837092287373,-20.72848209150834,-20.509642642748076,-20.304253561946098,-20.111141812696587,-19.904391628107987,-19.69693600712344},
+{-23.38982123619644,-26.639911297650542,-26.447739270312013,-25.67310362312128,-24.894648461136967,-24.15862507960992,-23.61449257354252,-23.227665860496927,-22.838664190203417,-22.479090151493438,-22.155882766994182,-21.841105593077373,-21.545535153651144,-21.272687176708132,-21.020116422034334,-20.785080386849586,-20.5655996488058,-20.35960745648481,-20.16593552462291,-19.958567633118946,-19.750562706962228},
+{-23.455845355201745,-26.714770924212644,-26.52197094130679,-25.744730146514485,-24.96385100937914,-24.225554853619542,-23.679912896594033,-23.291619877621997,-22.901434395927936,-22.541025001031812,-22.216804411436897,-21.900976734235883,-21.60449961957056,-21.330859345092904,-21.077543991268612,-20.8418250711984,-20.6217008184758,-20.415103850653395,-20.220870282209944,-20.012882626033388,-19.80432633770397},
+{-23.52205793967005,-26.789841430378146,-26.596408327895915,-25.816552632226376,-25.033240840071812,-24.29266392198042,-23.745510507258587,-23.355744934175164,-22.964369791792706,-22.603124105196912,-22.277884136128705,-21.961003268545028,-21.663617437472567,-21.38918248587288,-21.13512014882872,-20.89871645491803,-20.677946456416976,-20.470743041834794,-20.275946381152608,-20.06733688566601,-19.85822701518191},
+{-23.588459532533307,-26.865123380935984,-26.671051953104325,-25.88857157318853,-25.1028184008901,-24.35995272229775,-23.811285847448744,-23.42004148074193,-23.027470807603095,-22.665387868124526,-22.339122304925695,-22.02118552965112,-21.722888984018937,-21.447656948002987,-21.192845247045625,-20.95575485250447,-20.734336880675983,-20.52652537537506,-20.331164148112293,-20.121930761728436,-19.912264903541654},
+{-23.655050674715312,-26.940617335698335,-26.745902336202562,-25.96078745473642,-25.17258414963726,-24.427421674714424,-23.877239334280603,-23.48450994375162,-23.0907378505799,-22.727816675091162,-22.40051925490843,-22.08152387442533,-21.782314609386958,-21.50628304289421,-21.250719605130143,-21.012940581480507,-20.790872409008443,-20.582451147318352,-20.386523890774697,-20.176664530939888,-19.966440112621058},
+{-23.72183190623764,-27.016323853546055,-26.82095999928424,-26.03320076307864,-25.242538542253897,-24.495071193989133,-23.943371398025192,-23.54915077111218,-23.15417133149458,-22.790410926856566,-22.462075349292718,-22.142018635815475,-21.841894659854006,-21.56506111304043,-21.308743604051415,-21.070273938239552,-20.847553342289757,-20.638520681823138,-20.442025903787,-20.23153850453673,-20.02075276907999},
+{-23.788803773146356,-27.092243499995675,-26.89622546796454,-26.105811990972143,-25.31268203741638,-24.56290171618457,-24.009682472329587,-23.613964402349666,-23.217771684750915,-22.853171028662473,-22.523790927021764,-22.20267017860897,-21.901629513595253,-21.623991483298596,-21.366917575418483,-21.127755271969363,-20.90438001608709,-20.694734332035296,-20.497670530341566,-20.286552999692503,-20.075203012500424},
+{-23.855966821633046,-27.1683768373332,-26.97169926838251,-26.178621625585947,-25.383015102503123,-24.630913659057114,-24.07617298484547,-23.678951275825966,-23.281539326591883,-22.916097378358245,-22.585666351020336,-22.263478841108736,-21.961519517702982,-21.683074494590983,-21.425241872435436,-21.185384877724573,-20.961352742568124,-20.75109239423182,-20.55345806531841,-20.34170831053052,-20.129790966631845},
+{-23.92332159698708,-27.244724428543122,-27.047381923446665,-26.251630155020393,-25.4535381810565,-24.699107446416747,-24.14284336019773,-23.744111822918057,-23.34547467844095,-22.97919038357213,-22.647701969894115,-22.324444970523473,-22.02156502509024,-21.742310469096992,-21.483716851682402,-21.243163065984845,-21.01847183040809,-20.807595205667894,-20.609388812619727,-20.39700474520214,-20.184516745095607},
+{-23.99086864865967,-27.32128683431074,-27.123273962904932,-26.3248380763398,-25.524251735798316,-24.76748351531569,-24.20969402132323,-23.80944648012519,-23.40957817126764,-23.042450437205844,-22.709898131375667,-22.385568916331977,-22.08176639478188,-21.801699740812182,-21.542342852102593,-21.30109016771894,-21.075737613253295,-20.86424308322603,-20.665463094657753,-20.45244259556057,-20.23938046582043},
+{-24.05860852848855,-27.398064626351697,-27.199375915748533,-26.398245882126503,-25.595156237162882,-24.836042283161078,-24.276725393894594,-23.874955699429847,-23.47385024878895,-23.105877952068113,-22.77225522423396,-22.44685104326345,-22.14212399185635,-21.86124266544357,-21.60112023615511,-21.359166498761624,-21.133150425797794,-20.92103635944659,-20.7216812283732,-20.508022186229937,-20.29438226361526},
+{-24.12654178534285,-27.47505836264463,-27.275688310619444,-26.47185405853088,-25.666252136637922,-24.904784178885166,-24.34393790428294,-23.94063989300048,-23.53829132433748,-23.169473323621787,-22.834773581533227,-22.50829167768825,-22.20263816229999,-21.920939540548716,-21.660049345577136,-21.417392359755468,-21.190710561349988,-20.977975367801264,-20.77804351702798,-20.56374378030887,-20.34952222352149},
+{-24.194668973213993,-27.552268610714236,-27.352211675985018,-26.54566310282098,-25.737539900728734,-24.97370962111745,-24.411331966752186,-24.006499508570414,-23.602901846927125,-23.233236953557935,-22.89745356491767,-22.56989118392812,-22.26330925471848,-21.980790702800732,-21.719130530080292,-21.475768083008006,-21.248418358387426,-21.035060413123574,-20.8345502706361,-20.619607685657684,-20.404800488671754},
+{-24.262990648363484,-27.629695942188846,-27.4289465508773,-26.61967351238127,-25.80901999134221,-25.0428190533421,-24.478908016288187,-24.072534989390988,-23.66768226545537,-23.297169264988042,-22.960295557626523,-22.631649919669144,-22.324137648858596,-22.040796516113915,-21.778364161786158,-21.534293989709113,-21.30627416417701,-21.092291878769174,-20.89120182604529,-20.675614224921446,-20.460217182640918},
+{-24.331507365772268,-27.707340918306727,-27.505893465480767,-26.693885784130543,-25.88069286791142,-25.112112899660133,-24.54666646232363,-24.138746751414146,-23.73263300798135,-23.36127064813627,-23.02329989831196,-22.693568227812648,-22.38512367848307,-22.10095728992019,-21.837750563398004,-21.59297039185185,-21.364278280409053,-21.149670043610968,-20.94799848383991,-20.731763676565606,-20.515772425220348},
+{-24.40021968210931,-27.785204109561164,-27.583052954025334,-26.768300407973584,-25.95255899761105,-25.181591575732455,-24.61460772238206,-24.205135227181017,-23.797754525381606,-23.425541501725093,-23.086466973938514,-22.755646474135574,-22.446267707215156,-22.161273355188314,-21.897290103079285,-21.65179760887986,-21.422431045386475,-21.20719524542801,-21.004940552520566,-20.788056322315242,-20.571466327412054},
+{-24.469128158525564,-27.863286081526894,-27.660425552428933,-26.842917884292547,-26.024618843541248,-25.25125552568352,-24.682732226443477,-24.27170086168917,-23.863047272141557,-23.489982247294392,-23.14979713590583,-22.81788499938557,-22.507570082205348,-22.22174504940631,-21.956983122974634,-21.710775965475477,-21.480732797528617,-21.26486784289591,-21.062028371961787,-20.84449250070611,-20.627299039741047},
+{-24.538233355648117,-27.941587408538908,-27.738011801498942,-26.917738710384583,-26.096872879366856,-25.32110517070396,-24.751040379574988,-24.33844407624565,-23.92851169826463,-23.554593281063717,-23.21329077251721,-22.880284167651553,-22.569031166029163,-22.28237270034151,-22.016829972621053,-21.76990578189725,-21.53918385715224,-21.322688146319706,-21.11926225561183,-20.9010724737891,-20.683270695561077},
+{-24.607535834860755,-28.020108658762183,-27.8158122364257,-26.99276338823256,-26.169321563793346,-25.39114094816614,-24.81953261292074,-24.40536530711688,-23.994148262951057,-23.61937501031207,-23.276948241109494,-22.942844327364583,-22.630651318177115,-22.343156659626402,-22.076831026177388,-21.829187380324584,-21.59778456413187,-21.38065650576027,-21.17664253700059,-20.957796571427025,-20.73938146571163},
+{-24.67703616133076,-28.09885040053632,-27.89382740142173,-27.06799241848057,-26.24196536335512,-25.461363291949965,-24.888209325959906,-24.472464979917277,-24.059957419056445,-23.68432784214383,-23.34076991979964,-23.0055658473284,-22.692430885508657,-22.404097239661496,-22.13698659511283,-21.88862109114416,-21.656535258865915,-21.438773249275982,-21.23416953458218,-21.014665090478957,-20.795631511427928},
+{-24.746734899963485,-28.177813207905274,-27.97205783420941,-27.143426296272082,-26.3148047447321,-25.53177261276869,-24.957070932316128,-24.539743523462676,-24.125939625315368,-23.74945217021741,-23.404756179312244,-23.068449068523478,-22.754370221111458,-22.46519478096161,-22.197297049569897,-21.948207212786656,-21.715436263300944,-21.49703868769575,-21.291843550396152,-21.071678313310258,-20.85202098474838},
+{-24.81663261691574,-28.25699765110039,-28.05050407772069,-27.219065528566716,-26.387840182724176,-25.602369372965768,-25.026117854227778,-24.607201372040436,-24.192095354024787,-23.814748412463814,-23.468907394679263,-23.131494365865365,-22.816469694429543,-22.526449625904206,-22.257762749912217,-22.007946082449052, -21.774487921444234,-21.555453195178416,-21.349664952256717,-21.128836586896796,-20.908550107094925},
+{-24.88672988206963,-28.336404305009637,-28.129166676750174,-27.294910618278664,-26.46107214744552,-25.673153977957554,-25.09535050415434,-24.67483894585166,-24.258425071486272,-23.880216964054853,-23.53322395379655,-23.194702105713077,-22.878729653835762,-22.587862102489453,-22.31838402309222,-22.06783805345185,-21.833690583822317,-21.614017086976673,-21.407634040690027,-21.1861402001814,-20.965219124918804},
+{-24.95702726318268,-28.41603374108672,-28.208046173589537,-27.370962059532758,-26.53450110432459,-25.74412687594304,-25.16476929106284,-24.74265667324653,-24.324929237249307,-23.945858225924894,-23.597706217726227,-23.258072621247265,-22.94115044485079,-22.649432538542897,-22.379161227901932,-22.12788341025589,-21.893044561729766,-21.672730688005686,-21.465751135896426,-21.24358945764834,-21.022028209641576}};
+
+
+double wreg[]= {0.04, 0.088, 0.136, 0.18400000000000002, 0.232, 0.27999999999999997,
+ 0.328, 0.376, 0.424, 0.472, 0.52, 0.5680000000000001,
+ 0.6160000000000001, 0.664, 0.7120000000000001, 0.76, 0.808,
+ 0.8560000000000001, 0.904, 0.9520000000000001, 1.0};
+
+double ularge[]={0., 0.000999525142261537, 0.0019980512340131984, 0.002995579273830762,
+ 0.0039921102592925806, 0.00498764518697925, 0.00598218505247583,
+ 0.006975730850371842, 0.007968283574262824, 0.008959844216751223,
+ 0.009950413769447386, 0.010939993222970568, 0.011928583566949591,
+ 0.012916185790024404, 0.013902800879846744, 0.014888429823081029,
+ 0.015873073605405685, 0.016856733211513708, 0.01783940962511399,
+ 0.018821103828932206, 0.019801816804711603, 0.020781549533214427,
+ 0.02176030299422238, 0.022738078166538056, 0.0237148760279855,
+ 0.024690697555411423, 0.025665543724686435, 0.026639415510705367,
+ 0.02761231388738883, 0.028584239827683988, 0.029555194303565346,
+ 0.03052517828603607, 0.03149419274512877, 0.03246223864990638,
+ 0.033429316968463296, 0.03439542866792622, 0.035360574714455306,
+ 0.036324756073245035, 0.03728797370852488, 0.03825022858356075,
+ 0.03921152166065589, 0.0401718539011513, 0.04113122626542742,
+ 0.04208963971290469, 0.043047095202044416, 0.04400359369035023,
+ 0.044959136134368416, 0.04591372348968936, 0.046867356710948216,
+ 0.04782003675182578, 0.04877176456505006, 0.04972254110239649,
+ 0.05067236731468905, 0.05162124415180169, 0.052569172562658695,
+ 0.053516153495236085, 0.05446218789656199, 0.05540727671271839,
+ 0.056351420888841375, 0.057294621369122334, 0.05823687909680919,
+ 0.059178195014206625, 0.060118570062677845, 0.061058005182645037,
+ 0.061996501313590135, 0.06293405939405661, 0.06387068036164922,
+ 0.06480636515303595, 0.0657411147039485, 0.06667492994918323,
+ 0.067607811822602, 0.06853976125713368, 0.06947077918477418,
+ 0.07040086653658806, 0.07133002424270929, 0.07225825323234214,
+ 0.07318555443376207, 0.07411192877431683, 0.07503737718042691,
+ 0.07596190057758734, 0.07688549989036764, 0.07780817604241341,
+ 0.07872992995644712, 0.07965076255426873, 0.08057067475675705,
+ 0.08148966748387021, 0.08240774165464715, 0.0833248981872079,
+ 0.08424113799875499, 0.08515646200557414, 0.08607087112303513,
+ 0.0869843662655928, 0.0878969483467883, 0.08880861827924913,
+ 0.08971937697469112, 0.09062922534391848, 0.09153816429682515,
+ 0.09244619474239557, 0.09335331758870569, 0.09425953374292384,
+ 0.09516484411131154, 0.09606924959922447, 0.09697275111111336,
+ 0.09787534955052513, 0.09877704582010327, 0.09967784082158937,
+ 0.10057773545582349, 0.1014767306227452, 0.10237482722139479,
+ 0.10327202614991393, 0.10416832830554645, 0.10506373458463925,
+ 0.10595824588264358, 0.10685186309411554, 0.10774458711271706,
+ 0.10863641883121689, 0.10952735914149136, 0.11041740893452556,
+ 0.1113065691004137, 0.11219484052836048, 0.113082224106682,
+ 0.11396872072280606, 0.11485433126327382, 0.11573905661374018,
+ 0.1166228976589746, 0.11750585528286273, 0.11838793036840611,
+ 0.11926912379772414, 0.12014943645205434, 0.1210288692117536,
+ 0.12190742295629853, 0.12278509856428699, 0.12366189691343843,
+ 0.12453781888059534, 0.12541286534172336, 0.1262870371719128,
+ 0.12716033524537929, 0.12803276043546474, 0.12890431361463794,
+ 0.12977499565449568, 0.1306448074257638, 0.13151374979829733,
+ 0.13238182364108242, 0.1332490298222363, 0.13411536920900857,
+ 0.1349808426677821, 0.13584545106407353, 0.13670919526253478,
+ 0.1375720761269531, 0.13843409452025268, 0.13929525130449505,
+ 0.1401555473408801, 0.14101498348974706, 0.141873560610575,
+ 0.14273127956198417, 0.14358814120173635, 0.1444441463867362,
+ 0.1452992959730317, 0.14615359081581536, 0.14700703176942476,
+ 0.1478596196873435, 0.14871135542220237, 0.14956223982577965,
+ 0.15041227374900246, 0.15126145804194713, 0.1521097935538407,
+ 0.15295728113306095, 0.15380392162713807, 0.1546497158827549,
+ 0.15549466474574802, 0.15633876906110877, 0.15718202967298356,
+ 0.15802444742467525, 0.15886602315864384, 0.15970675771650733,
+ 0.16054665193904216, 0.16138570666618468, 0.1622239227370318,
+ 0.1630613009898414, 0.16389784226203374, 0.16473354739019208,
+ 0.1655684172100632, 0.16640245255655883, 0.1672356542637562,
+ 0.16806802316489855, 0.1688995600923966, 0.1697302658778289,
+ 0.17056014135194286, 0.17138918734465547, 0.1722174046850543,
+ 0.17304479420139818, 0.17387135672111798, 0.1746970930708177,
+ 0.17552200407627494, 0.1763460905624421, 0.17716935335344708,
+ 0.17799179327259362, 0.17881341114236304, 0.1796342077844143,
+ 0.18045418401958513, 0.1812733406678928, 0.18209167854853503,
+ 0.18290919847989073, 0.18372590127952082, 0.18454178776416885,
+ 0.18535685874976227, 0.18617111505141282, 0.18698455748341758,
+ 0.18779718685925983, 0.18860900399160963, 0.18942000969232464,
+ 0.19023020477245134, 0.19103959004222526, 0.19184816631107227,
+ 0.1926559343876092, 0.19346289507964443, 0.1942690491941792,
+ 0.19507439753740796, 0.19587894091471936, 0.19668268013069712,
+ 0.19748561598912073, 0.1982877492929661, 0.1990890808444069,
+ 0.19988961144481487, 0.2006893418947604, 0.20148827299401428,
+ 0.20228640554154742, 0.20308374033553256, 0.2038802781733442,
+ 0.20467601985156025, 0.20547096616596217, 0.20626511791153612,
+ 0.2070584758824735, 0.2078510408721722, 0.20864281367323678,
+ 0.20943379507747983, 0.21022398587592217, 0.21101338685879434,
+ 0.21180199881553674, 0.21258982253480097, 0.21337685880445012,
+ 0.21416310841155983, 0.21494857214241914, 0.21573325078253125,
+ 0.2165171451166138, 0.2173002559286007, 0.2180825840016417,
+ 0.21886413011810424, 0.21964489505957363, 0.22042487960685375,
+ 0.22120408453996832, 0.2219825106381612, 0.22276015867989762,
+ 0.22353702944286447, 0.22431312370397138, 0.22508844223935165,
+ 0.22586298582436248, 0.2266367552335864, 0.2274097512408314,
+ 0.22818197461913237, 0.2289534261407512, 0.22972410657717812,
+ 0.23049401669913228, 0.23126315727656221, 0.2320315290786471,
+ 0.23279913287379717, 0.23356596942965469, 0.23433203951309467,
+ 0.2350973438902254, 0.2358618833263898, 0.23662565858616547,
+ 0.23738867043336598, 0.2381509196310414, 0.23891240694147908,
+ 0.23967313312620442, 0.24043309894598175, 0.2411923051608149,
+ 0.24195075252994824, 0.24270844181186702, 0.24346537376429855,
+ 0.24422154914421257, 0.24497696870782248, 0.24573163321058555,
+ 0.24648554340720408, 0.24723870005162618, 0.24799110389704615,
+ 0.24874275569590532, 0.2494936561998935, 0.25024380615994857,
+ 0.250993206326258, 0.2517418574482596, 0.2524897602746421,
+ 0.2532369155533455, 0.25398332403156276, 0.2547289864557396,
+ 0.25547390357157584, 0.25621807612402603, 0.25696150485729974,
+ 0.25770419051486304, 0.2584461338394388, 0.25918733557300766,
+ 0.2599277964568082, 0.2606675172313385, 0.26140649863635645,
+ 0.2621447414108805, 0.26288224629319024, 0.26361901402082755,
+ 0.26435504533059706, 0.2650903409585671, 0.2658249016400699,
+ 0.26655872810970294, 0.26729182110132965, 0.2680241813480796,
+ 0.2687558095823497, 0.26948670653580487, 0.27021687293937857,
+ 0.2709463095232739, 0.27167501701696406, 0.27240299614919283,
+ 0.2731302476479759, 0.27385677224060123, 0.2745825706536297,
+ 0.27530764361289617, 0.2760319918435099, 0.2767556160698553,
+ 0.277478517015593, 0.27820069540366, 0.278922151956271,
+ 0.2796428873949186, 0.2803629024403743, 0.2810821978126893,
+ 0.281800774231195, 0.2825186324145037, 0.2832357730805096,
+ 0.2839521969463893, 0.2846679047286026, 0.285382897142893,
+ 0.2860971749042889, 0.2868107387271036, 0.2875235893249368,
+ 0.2882357274106748, 0.2889471536964914, 0.28965786889384837,
+ 0.2903678737134967, 0.2910771688654765, 0.29178575505911875,
+ 0.292493633003045, 0.29320080340516863, 0.2939072669726954,
+ 0.29461302441212445, 0.29531807642924834, 0.29602242372915455,
+ 0.2967260670162256, 0.2974290069941401, 0.2981312443658731,
+ 0.29883277983369727, 0.2995336140991832, 0.30023374786320023,
+ 0.3009331818259171, 0.3016319166868029, 0.3023299531446274,
+ 0.30302729189746225, 0.3037239336426808, 0.30441987907696,
+ 0.3051151288962799, 0.3058096837959252, 0.3065035444704858,
+ 0.30719671161385675, 0.3078891859192402, 0.30858096807914515,
+ 0.3092720587853881, 0.3099624587290948, 0.31065216860069933,
+ 0.31134118908994646, 0.3120295208858911, 0.31271716467689936,
+ 0.31340412115064964, 0.3140903909941327, 0.31477597489365294,
+ 0.3154608735348283, 0.3161450876025921, 0.3168286177811924,
+ 0.3175114647541937, 0.31819362920447714, 0.31887511181424144,
+ 0.3195559132650032, 0.32023603423759806, 0.3209154754121809,
+ 0.32159423746822724, 0.32227232108453296, 0.32294972693921553,
+ 0.3236264557097148, 0.3243025080727936, 0.3249778847045379,
+ 0.3256525862803583, 0.32632661347499015, 0.32699996696249445,
+ 0.32767264741625823, 0.32834465550899594, 0.329015991912749,
+ 0.3296866572988876, 0.33035665233811085, 0.33102597770044706,
+ 0.33169463405525534, 0.33236262207122547, 0.33302994241637884,
+ 0.3336965957580693, 0.3343625827629836, 0.3350279040971421,
+ 0.33569256042589946, 0.33635655241394513, 0.33701988072530453,
+ 0.33768254602333925, 0.3383445489707475, 0.3390058902295656,
+ 0.3396665704611681, 0.340326590326268, 0.3409859504849183,
+ 0.34164465159651225, 0.3423026943197839, 0.3429600793128089,
+ 0.34361680723300536, 0.34427287873713386, 0.3449282944812989,
+ 0.3455830551209491, 0.3462371613108777, 0.3468906137052238,
+ 0.3475434129574725, 0.34819555972045557, 0.3488470546463528,
+ 0.34949789838669143, 0.35014809159234794, 0.350797634913548,
+ 0.3514465289998677, 0.3520947745002333, 0.3527423720629229,
+ 0.35338932233556664, 0.35403562596514704, 0.3546812835980001,
+ 0.3553262958798159, 0.355970663455639, 0.35661438696986913,
+ 0.35725746706626205, 0.3578999043879303, 0.35854169957734305,
+ 0.35918285327632793, 0.3598233661260706, 0.36046323876711595,
+ 0.3611024718393687, 0.3617410659820941, 0.362379021833918,
+ 0.36301634003282846, 0.3636530212161755, 0.3642890660206721,
+ 0.364924475082395, 0.36555924903678516, 0.36619338851864824,
+ 0.3668268941621554, 0.36745976660084423, 0.36809200646761864,
+ 0.3687236143947503, 0.3693545910138788, 0.3699849369560123,
+ 0.3706146528515283, 0.3712437393301742, 0.3718721970210681,
+ 0.3725000265526991, 0.3731272285529281, 0.3737538036489887,
+ 0.3743797524674871, 0.3750050756344038, 0.3756297737750931,
+ 0.3762538475142845, 0.3768772974760829, 0.3775001242839695,
+ 0.3781223285608024, 0.3787439109288169, 0.37936487200962665,
+ 0.3799852124242238, 0.3806049327929798, 0.38122403373564595,
+ 0.3818425158713544, 0.38246037981861813, 0.38307762619533214,
+ 0.38369425561877357, 0.3843102687056029, 0.38492566607186385,
+ 0.38554044833298484, 0.38615461610377877, 0.3867681699984443,
+ 0.387381110630566, 0.3879934386131151, 0.38860515455845035,
+ 0.38921625907831825, 0.38982675278385404, 0.390436636285582,
+ 0.39104591019341606, 0.3916545751166608, 0.39226263166401154,
+ 0.3928700804435552, 0.3934769220627712, 0.39408315712853126,
+ 0.39468878624710113, 0.39529381002414, 0.39589822906470207,
+ 0.39650204397323663, 0.39710525535358887, 0.39770786380900036,
+ 0.3983098699421097, 0.3989112743549532, 0.39951207764896535,
+ 0.4001122804249797, 0.4007118832832288, 0.4013108868233458,
+ 0.4019092916443642, 0.40250709834471876, 0.403104307522246,
+ 0.4037009197741851, 0.4042969356971783, 0.40489235588727124,
+ 0.405487180939914, 0.40608141144996135, 0.40667504801167365,
+ 0.4072680912187171, 0.40786054166416463, 0.40845239994049654,
+ 0.40904366663960046, 0.40963434235277296, 0.4102244276707191,
+ 0.4108139231835539, 0.4114028294808024, 0.4119911471514004,
+ 0.412578876783695, 0.41316601896544525, 0.4137525742838227,
+ 0.4143385433254122, 0.4149239266762119, 0.4155087249216347,
+ 0.4160929386465081, 0.41667656843507506, 0.4172596148709945,
+ 0.4178420785373421, 0.41842396001661075, 0.41900525989071113,
+ 0.41958597874097203, 0.42016611714814156, 0.4207456756923872,
+ 0.4213246549532964, 0.4219030555098775, 0.42248087794056,
+ 0.4230581228231952, 0.42363479073505705, 0.4242108822528422,
+ 0.42478639795267104, 0.4253613384100883, 0.4259357042000629,
+ 0.4265094958969896, 0.4270827140746889, 0.4276553593064074,
+ 0.4282274321648194, 0.4287989332220261, 0.4293698630495574,
+ 0.42994022221837147, 0.43051001129885624, 0.43107923086082933,
+ 0.4316478814735387, 0.4322159637056635, 0.4327834781253145,
+ 0.4333504253000344, 0.4339168057967989, 0.43448262018201667,
+ 0.4350478690215307, 0.43561255288061784, 0.4361766723239906,
+ 0.43674022791579636, 0.437303220219619, 0.4378656497984792,
+ 0.4384275172148344, 0.4389888230305805, 0.4395495678070511,
+ 0.44010975210501935, 0.4406693764846975, 0.4412284415057379,
+ 0.4417869477272336, 0.44234489570771884, 0.44290228600516945,
+ 0.44345911917700376, 0.44401539578008276, 0.4445711163707109,
+ 0.4451262815046366, 0.44568089173705294, 0.44623494762259774,
+ 0.4467884497153548, 0.4473413985688538, 0.4478937947360714,
+ 0.44844563876943133, 0.4489969312208053, 0.4495476726415134,
+ 0.4500978635823246, 0.45064750459345737, 0.4511965962245804,
+ 0.4517451390248126, 0.4522931335427245, 0.4528405803263378,
+ 0.4533874799231269, 0.45393383288001865, 0.45447963974339356,
+ 0.45502490105908566, 0.45556961737238355, 0.4561137892280309,
+ 0.4566574171702269, 0.4572005017426266, 0.4577430434883418,
+ 0.45828504294994143, 0.4588265006694522, 0.4593674171883587,
+ 0.45990779304760476, 0.46044762878759327, 0.46098692494818694,
+ 0.4615256820687089, 0.46206390068794345, 0.462601581344136,
+ 0.46313872457499405, 0.463675330917688, 0.46421140090885094,
+ 0.46474693508457965, 0.46528193398043516, 0.46581639813144315,
+ 0.46635032807209464, 0.4668837243363463, 0.46741658745762094,
+ 0.46794891796880855, 0.4684807164022662, 0.46901198328981897,
+ 0.46954271916276036, 0.4700729245518529, 0.47060259998732845,
+ 0.4711317459988891, 0.47166036311570714, 0.47218845186642633,
+ 0.47271601277916186, 0.47324304638150105, 0.47376955320050385,
+ 0.4742955337627035, 0.47482098859410693, 0.4753459182201951,
+ 0.47587032316592426, 0.4763942039557253, 0.4769175611135055,
+ 0.477440395162648, 0.47796270662601326, 0.4784844960259388,
+ 0.47900576388424, 0.4795265107222111, 0.48004673706062484,
+ 0.48056644341973376, 0.4810856303192701, 0.48160429827844675,
+ 0.4821224478159578, 0.48264007944997867, 0.4831571936981668,
+ 0.4836737910776625, 0.484189872105089, 0.48470543729655313,
+ 0.485220487167646, 0.485735022233443, 0.48624904300850535,
+ 0.4867625500068793, 0.4872755437420976, 0.48778802472717975,
+ 0.4882999934746325, 0.4888114504964499, 0.489322396304115,
+ 0.4898328314085989, 0.4903427563203624, 0.490852171549356,
+ 0.49136107760502024, 0.49186947499628686, 0.49237736423157863,
+ 0.49288474581881025, 0.49339162026538874, 0.49389798807821395,
+ 0.4944038497636789, 0.49490920582767084, 0.49541405677557093,
+ 0.49591840311225555, 0.4964222453420961, 0.49692558396896036,
+ 0.49742841949621197, 0.4979307524267116, 0.4984325832628175,
+ 0.4989339125063855, 0.4994347406587699, 0.49993506822082423,
+ 0.5004348956929009, 0.5009342235748524, 0.5014330523660315,
+ 0.5019313825652923, 0.5024292146709898, 0.502926549180981,
+ 0.5034233865926253, 0.5039197274027851, 0.5044155721078261,
+ 0.5049109212036176, 0.5054057751855336, 0.5059001345484531,
+ 0.5063939997867599, 0.5068873713943443, 0.5073802498646023,
+ 0.5078726356904373, 0.5083645293642596, 0.5088559313779877,
+ 0.509346842223048, 0.5098372623903762, 0.5103271923704167,
+ 0.5108166326531243, 0.5113055837279636, 0.5117940460839104,
+ 0.5122820202094513, 0.512769506592585, 0.5132565057208223,
+ 0.5137430180811866, 0.5142290441602146, 0.5147145844439569,
+ 0.5151996394179781, 0.5156842095673573, 0.5161682953766891,
+ 0.5166518973300833, 0.5171350159111663, 0.5176176516030808,
+ 0.5180998048884866, 0.5185814762495615, 0.5190626661680005,
+ 0.5195433751250178, 0.5200236036013465, 0.5205033520772391,
+ 0.520982621032468, 0.5214614109463263, 0.5219397222976279,
+ 0.5224175555647079, 0.5228949112254238, 0.5233717897571548,
+ 0.5238481916368037, 0.524324117340796, 0.5247995673450814,
+ 0.5252745421251336, 0.5257490421559512, 0.5262230679120579,
+ 0.5266966198675034, 0.5271696984958631, 0.5276423042702396,
+ 0.5281144376632623, 0.5285860991470881, 0.5290572891934022,
+ 0.5295280082734183, 0.5299982568578788, 0.5304680354170561,
+ 0.5309373444207524, 0.5314061843382998, 0.5318745556385619,
+ 0.5323424587899335, 0.5328098942603412, 0.5332768625172439,
+ 0.5337433640276331, 0.5342093992580338, 0.5346749686745045,
+ 0.5351400727426381, 0.5356047119275616, 0.5360688866939378,
+ 0.5365325975059647, 0.5369958448273762, 0.5374586291214427,
+ 0.5379209508509719, 0.5383828104783088, 0.5388442084653358,
+ 0.5393051452734743, 0.539765621363684, 0.5402256371964641,
+ 0.5406851932318535, 0.5411442899294313, 0.5416029277483172,
+ 0.5420611071471718, 0.5425188285841976, 0.542976092517139,
+ 0.5434328994032828, 0.5438892496994587, 0.5443451438620399,
+ 0.5448005823469433, 0.5452555656096303, 0.545710094105107,
+ 0.5461641682879246, 0.5466177886121801, 0.5470709555315163,
+ 0.5475236694991231, 0.547975930967737, 0.5484277403896421,
+ 0.5488790982166706, 0.5493300049002028, 0.5497804608911678,
+ 0.5502304666400446, 0.5506800225968611, 0.551129129211196,
+ 0.5515777869321782, 0.5520259962084881, 0.5524737574883574,
+ 0.5529210712195696, 0.5533679378494609, 0.5538143578249206,
+ 0.5542603315923906, 0.5547058595978674, 0.5551509422869012,
+ 0.5555955801045968, 0.5560397734956144, 0.5564835229041696,
+ 0.5569268287740341, 0.5573696915485361, 0.5578121116705604,
+ 0.5582540895825492, 0.5586956257265027, 0.559136720543979,
+ 0.5595773744760952, 0.5600175879635272, 0.5604573614465106,
+ 0.5608966953648409, 0.5613355901578738, 0.5617740462645263,
+ 0.5622120641232764, 0.562649644172164, 0.563086786848791,
+ 0.563523492590322, 0.5639597618334845, 0.5643955950145696,
+ 0.5648309925694325, 0.5652659549334924, 0.5657004825417333,
+ 0.5661345758287051, 0.5665682352285222, 0.567001461174866,
+ 0.5674342541009842, 0.5678666144396916, 0.5682985426233697,
+ 0.5687300390839687, 0.5691611042530064, 0.5695917385615696,
+ 0.5700219424403146, 0.5704517163194662, 0.5708810606288202,
+ 0.5713099757977423, 0.5717384622551692, 0.5721665204296088,
+ 0.5725941507491406, 0.5730213536414165, 0.5734481295336606,
+ 0.5738744788526705, 0.5743004020248167, 0.5747258994760436,
+ 0.5751509716318699, 0.5755756189173893, 0.57599984175727,
+ 0.5764236405757566, 0.5768470157966687, 0.577269967843403,
+ 0.5776924971389326, 0.5781146041058078, 0.5785362891661572,
+ 0.5789575527416864, 0.5793783952536805, 0.5797988171230029,
+ 0.5802188187700965, 0.5806384006149841, 0.5810575630772683,
+ 0.581476306576133, 0.5818946315303423, 0.5823125383582423,
+ 0.5827300274777606, 0.5831470993064074, 0.5835637542612753,
+ 0.5839799927590401, 0.5843958152159614, 0.5848112220478823,
+ 0.5852262136702302, 0.5856407904980179, 0.5860549529458426,
+ 0.586468701427888, 0.5868820363579228, 0.587294958149303,
+ 0.5877074672149709, 0.5881195639674562, 0.5885312488188764,
+ 0.5889425221809369, 0.5893533844649317, 0.5897638360817437,
+ 0.590173877441845, 0.5905835089552973, 0.5909927310317531,
+ 0.5914015440804545, 0.5918099485102354, 0.5922179447295205,
+ 0.5926255331463264, 0.5930327141682621, 0.5934394882025289,
+ 0.5938458556559212, 0.5942518169348268, 0.5946573724452273,
+ 0.5950625225926989, 0.5954672677824113, 0.5958716084191307,
+ 0.5962755449072175, 0.5966790776506286, 0.5970822070529168,
+ 0.597484933517232, 0.5978872574463205, 0.5982891792425268,
+ 0.5986906993077923, 0.5990918180436576, 0.5994925358512614,
+ 0.5998928531313414, 0.6002927702842353, 0.6006922877098799,
+ 0.6010914058078128, 0.6014901249771722, 0.6018884456166971,
+ 0.6022863681247279, 0.6026838928992075, 0.6030810203376802,
+ 0.6034777508372935, 0.6038740847947976, 0.6042700226065467,
+ 0.604665564668498, 0.6050607113762136, 0.6054554631248601,
+ 0.6058498203092088, 0.6062437833236366, 0.6066373525621265,
+ 0.6070305284182671, 0.6074233112852543, 0.6078157015558905,
+ 0.6082076996225856, 0.6085993058773573, 0.6089905207118316,
+ 0.6093813445172427, 0.6097717776844341, 0.6101618206038586,
+ 0.6105514736655786, 0.6109407372592666, 0.6113296117742056,
+ 0.6117180975992899, 0.6121061951230246, 0.6124939047335266,
+ 0.6128812268185251, 0.6132681617653614, 0.6136547099609899,
+ 0.6140408717919783, 0.6144266476445075, 0.6148120379043729,
+ 0.6151970429569841, 0.6155816631873652, 0.6159658989801557,
+ 0.616349750719611, 0.6167332187896015, 0.617116303573615,
+ 0.6174990054547553, 0.6178813248157433, 0.6182632620389177,
+ 0.6186448175062347, 0.6190259915992689, 0.6194067846992136,
+ 0.6197871971868809, 0.6201672294427024, 0.6205468818467292,
+ 0.6209261547786331, 0.6213050486177056, 0.6216835637428597,
+ 0.6220617005326295, 0.6224394593651708, 0.6228168406182611,
+ 0.6231938446693008, 0.6235704718953128, 0.623946722672943,
+ 0.6243225973784614, 0.6246980963877612, 0.6250732200763602,
+ 0.625447968819401, 0.6258223429916512, 0.6261963429675036,
+ 0.626569969120977, 0.626943221825716, 0.6273161014549923,
+ 0.6276886083817041, 0.6280607429783769, 0.6284325056171641,
+ 0.6288038966698469, 0.6291749165078349, 0.6295455655021667,
+ 0.6299158440235095, 0.6302857524421607, 0.6306552911280471,
+ 0.6310244604507258, 0.6313932607793848, 0.631761692482843,
+ 0.6321297559295502, 0.6324974514875885, 0.6328647795246719,
+ 0.6332317404081467, 0.6335983345049923, 0.6339645621818211,
+ 0.634330423804879, 0.6346959197400462, 0.6350610503528369,
+ 0.6354258160083996, 0.6357902170715188, 0.6361542539066134,
+ 0.6365179268777388, 0.6368812363485858, 0.6372441826824823,
+ 0.6376067662423928, 0.637968987390919, 0.6383308464903001,
+ 0.6386923439024137, 0.6390534799887748, 0.6394142551105377,
+ 0.6397746696284959, 0.6401347239030817, 0.6404944182943675,
+ 0.6408537531620657, 0.6412127288655292, 0.6415713457637514,
+ 0.6419296042153675, 0.6422875045786538, 0.6426450472115286,
+ 0.6430022324715523, 0.6433590607159283, 0.6437155323015025,
+ 0.6440716475847644, 0.6444274069218472, 0.644782810668528,
+ 0.6451378591802283, 0.6454925528120143, 0.6458468919185978,
+ 0.6462008768543352, 0.6465545079732293, 0.6469077856289291,
+ 0.6472607101747299, 0.6476132819635738, 0.6479655013480502,
+ 0.6483173686803962, 0.6486688843124969, 0.6490200485958855,
+ 0.6493708618817435, 0.6497213245209023, 0.6500714368638417,
+ 0.6504211992606918, 0.6507706120612324, 0.6511196756148938,
+ 0.6514683902707571, 0.6518167563775543, 0.6521647742836691,
+ 0.6525124443371368, 0.652859766885645, 0.6532067422765333,
+ 0.6535533708567947, 0.6538996529730751, 0.654245588971674,
+ 0.6545911791985446, 0.6549364239992945, 0.655281323719186,
+ 0.6556258787031358, 0.6559700892957163, 0.6563139558411553,
+ 0.6566574786833363, 0.6570006581657999, 0.6573434946317424,
+ 0.6576859884240174, 0.658028139885136, 0.6583699493572668,
+ 0.6587114171822364, 0.6590525437015295, 0.6593933292562899,
+ 0.6597337741873203, 0.6600738788350825, 0.6604136435396983,
+ 0.6607530686409493, 0.6610921544782778, 0.6614309013907864,
+ 0.6617693097172392, 0.6621073797960614, 0.6624451119653398,
+ 0.6627825065628238, 0.6631195639259246, 0.6634562843917167,
+ 0.6637926682969373, 0.6641287159779872, 0.664464427770931,
+ 0.6647998040114971, 0.6651348450350785, 0.6654695511767332,
+ 0.6658039227711843, 0.6661379601528197, 0.6664716636556935,
+ 0.6668050336135264, 0.6671380703597047, 0.6674707742272818,
+ 0.6678031455489785, 0.6681351846571825, 0.6684668918839496,
+ 0.6687982675610038, 0.6691293120197371, 0.6694600255912108,
+ 0.6697904086061548, 0.670120461394969, 0.6704501842877223,
+ 0.6707795776141544, 0.671108641703675, 0.6714373768853648,
+ 0.6717657834879753, 0.6720938618399296, 0.6724216122693225,
+ 0.6727490351039208, 0.6730761306711638, 0.6734028992981633,
+ 0.6737293413117047, 0.6740554570382458, 0.674381246803919,
+ 0.6747067109345304, 0.6750318497555603, 0.6753566635921638,
+ 0.6756811527691712, 0.6760053176110876, 0.6763291584420945,
+ 0.6766526755860485, 0.6769758693664834, 0.6772987401066086,
+ 0.6776212881293115, 0.6779435137571563, 0.6782654173123844,
+ 0.6785869991169158, 0.6789082594923481, 0.6792291987599581,
+ 0.6795498172407008, 0.6798701152552111, 0.6801900931238029,
+ 0.68050975116647, 0.6808290897028865, 0.681148109052407,
+ 0.6814668095340666, 0.6817851914665822, 0.6821032551683512,
+ 0.6824210009574536, 0.682738429151651, 0.6830555400683873,
+ 0.6833723340247895, 0.6836888113376672, 0.684004972323514,
+ 0.6843208172985062, 0.6846363465785049, 0.6849515604790553,
+ 0.6852664593153867, 0.6855810434024139, 0.6858953130547369,
+ 0.6862092685866409, 0.6865229103120971, 0.6868362385447633,
+ 0.687149253597983, 0.687461955784787, 0.6877743454178934,
+ 0.6880864228097073, 0.6883981882723218, 0.6887096421175178,
+ 0.689020784656765, 0.6893316162012213, 0.689642137061734,
+ 0.6899523475488394, 0.6902622479727635, 0.6905718386434223,
+ 0.6908811198704219, 0.6911900919630591, 0.6914987552303216,
+ 0.6918071099808879, 0.6921151565231283, 0.6924228951651047,
+ 0.6927303262145712, 0.6930374499789742, 0.6933442667654529,
+ 0.6936507768808395, 0.6939569806316594, 0.6942628783241318,
+ 0.6945684702641695, 0.6948737567573798, 0.6951787381090646,
+ 0.6954834146242206, 0.6957877866075393, 0.6960918543634081,
+ 0.69639561819591, 0.696699078408824, 0.6970022353056254,
+ 0.6973050891894865, 0.6976076403632763, 0.697909889129561,
+ 0.6982118357906046, 0.6985134806483688, 0.6988148240045138,
+ 0.6991158661603977, 0.699416607417078, 0.6997170480753109,
+ 0.7000171884355522, 0.7003170287979572, 0.7006165694623812,
+ 0.70091581072838, 0.70121475289521, 0.7015133962618281,
+ 0.7018117411268927, 0.7021097877887635, 0.7024075365455023,
+ 0.7027049876948726, 0.7030021415343406, 0.7032989983610749,
+ 0.7035955584719471, 0.7038918221635324, 0.7041877897321093,
+ 0.7044834614736599, 0.7047788376838712, 0.7050739186581338,
+ 0.7053687046915438, 0.7056631960789016, 0.7059573931147136,
+ 0.7062512960931917, 0.7065449053082533, 0.7068382210535225,
+ 0.7071312436223296, 0.7074239733077119, 0.7077164104024138,
+ 0.7080085551988871, 0.7083004079892912, 0.7085919690654933,
+ 0.7088832387190692, 0.7091742172413034, 0.7094649049231885,
+ 0.7097553020554271, 0.7100454089284309, 0.710335225832321,
+ 0.7106247530569292, 0.710913990891797, 0.7112029396261766,
+ 0.7114915995490315, 0.711779970949036, 0.7120680541145756,
+ 0.7123558493337485, 0.712643356894364, 0.7129305770839439,
+ 0.713217510189723, 0.7135041564986487, 0.7137905162973818,
+ 0.7140765898722963, 0.7143623775094801, 0.7146478794947352,
+ 0.7149330961135778, 0.715218027651239, 0.7155026743926645,
+ 0.7157870366225152, 0.7160711146251676, 0.7163549086847141,
+ 0.7166384190849628, 0.7169216461094383, 0.7172045900413819,
+ 0.7174872511637518, 0.7177696297592231, 0.7180517261101884,
+ 0.7183335404987586, 0.718615073206762, 0.7188963245157451,
+ 0.7191772947069739, 0.7194579840614321, 0.7197383928598236,
+ 0.7200185213825707, 0.7202983699098164, 0.7205779387214231,
+ 0.7208572280969736, 0.7211362383157713, 0.7214149696568404,
+ 0.721693422398926, 0.721971596820495, 0.7222494931997359,
+ 0.7225271118145585, 0.7228044529425958, 0.7230815168612027,
+ 0.7233583038474569, 0.7236348141781592, 0.7239110481298339,
+ 0.7241870059787288, 0.7244626880008155, 0.7247380944717898,
+ 0.7250132256670722, 0.7252880818618073, 0.7255626633308654,
+ 0.7258369703488414, 0.7261110031900564, 0.7263847621285567,
+ 0.7266582474381151, 0.7269314593922306, 0.7272043982641287,
+ 0.7274770643267621, 0.7277494578528104, 0.7280215791146809,
+ 0.7282934283845084, 0.7285650059341557, 0.7288363120352142,
+ 0.7291073469590034, 0.7293781109765718, 0.7296486043586969,
+ 0.7299188273758861, 0.7301887802983753, 0.7304584633961313,
+ 0.7307278769388508, 0.7309970211959604, 0.7312658964366184,
+ 0.7315345029297131, 0.7318028409438646, 0.7320709107474244,
+ 0.7323387126084755, 0.7326062467948335, 0.7328735135740458,
+ 0.7331405132133925, 0.7334072459798867, 0.7336737121402745,
+ 0.7339399119610356, 0.7342058457083829, 0.7344715136482635,
+ 0.7347369160463587, 0.7350020531680842, 0.7352669252785904,
+ 0.7355315326427627, 0.7357958755252216, 0.7360599541903234,
+ 0.7363237689021598, 0.736587319924559, 0.7368506075210848,
+ 0.7371136319550383, 0.737376393489457, 0.7376388923871158,
+ 0.7379011289105265, 0.7381631033219388, 0.7384248158833402,
+ 0.7386862668564566, 0.7389474565027518, 0.7392083850834286,
+ 0.7394690528594288, 0.7397294600914328, 0.7399896070398615,
+ 0.7402494939648745, 0.7405091211263718, 0.7407684887839936,
+ 0.7410275971971204, 0.7412864466248739, 0.7415450373261161,
+ 0.7418033695594508, 0.7420614435832235, 0.7423192596555206,
+ 0.7425768180341715, 0.7428341189767473, 0.7430911627405619,
+ 0.743347949582672, 0.7436044797598771, 0.7438607535287203,
+ 0.7441167711454884, 0.7443725328662114, 0.7446280389466643,
+ 0.7448832896423658, 0.7451382852085793, 0.7453930259003132,
+ 0.7456475119723209, 0.7459017436791014, 0.746155721274899,
+ 0.746409445013704, 0.7466629151492529, 0.7469161319350285,
+ 0.7471690956242603, 0.7474218064699245, 0.7476742647247447,
+ 0.7479264706411921, 0.7481784244714849, 0.7484301264675894,
+ 0.7486815768812207, 0.7489327759638414, 0.7491837239666634,
+ 0.7494344211406472, 0.7496848677365024, 0.7499350640046882,
+ 0.7501850101954137, 0.7504347065586372, 0.7506841533440677,
+ 0.7509333508011645, 0.7511822991791376, 0.7514309987269479,
+ 0.751679449693307, 0.7519276523266788, 0.7521756068752782,
+ 0.752423313587072, 0.7526707727097796, 0.7529179844908723,
+ 0.7531649491775743, 0.7534116670168628, 0.7536581382554678,
+ 0.753904363139873, 0.7541503419163156, 0.7543960748307865,
+ 0.7546415621290313, 0.7548868040565494, 0.755131800858595,
+ 0.7553765527801771, 0.75562106006606, 0.7558653229607633,
+ 0.7561093417085618, 0.7563531165534869, 0.7565966477393253,
+ 0.7568399355096207, 0.7570829801076727, 0.7573257817765384,
+ 0.7575683407590315, 0.757810657297723, 0.7580527316349417,
+ 0.7582945640127741, 0.7585361546730646, 0.7587775038574159,
+ 0.7590186118071897, 0.7592594787635054, 0.7595001049672425,
+ 0.759740490659039, 0.7599806360792927, 0.7602205414681611,
+ 0.7604602070655615, 0.7606996331111716, 0.7609388198444295,
+ 0.7611777675045337, 0.761416476330444, 0.7616549465608811,
+ 0.7618931784343271, 0.762131172189026, 0.7623689280629833,
+ 0.762606446293967, 0.762843727119507, 0.7630807707768961,
+ 0.7633175775031897, 0.7635541475352068, 0.7637904811095287,
+ 0.7640265784625013, 0.7642624398302336, 0.7644980654485987,
+ 0.7647334555532339, 0.7649686103795416, 0.7652035301626878,
+ 0.7654382151376045, 0.7656726655389883, 0.7659068816013012,
+ 0.7661408635587711, 0.7663746116453917, 0.7666081260949227,
+ 0.7668414071408904, 0.7670744550165873, 0.7673072699550733,
+ 0.7675398521891746, 0.7677722019514854, 0.768004319474367,
+ 0.7682362049899485, 0.7684678587301269, 0.7686992809265678,
+ 0.768930471810705, 0.7691614316137406, 0.7693921605666464,
+ 0.7696226589001627, 0.7698529268447993, 0.7700829646308358,
+ 0.7703127724883215, 0.7705423506470759, 0.7707716993366883,
+ 0.7710008187865192, 0.7712297092256994, 0.7714583708831309,
+ 0.7716868039874866, 0.7719150087672111, 0.7721429854505208,
+ 0.7723707342654037, 0.77259825543962, 0.7728255492007022,
+ 0.7730526157759556, 0.773279455392458, 0.7735060682770605,
+ 0.7737324546563873, 0.773958614756836, 0.7741845488045782,
+ 0.7744102570255591, 0.7746357396454984, 0.77486099688989,
+ 0.7750860289840023, 0.7753108361528785, 0.7755354186213375,
+ 0.7757597766139727, 0.7759839103551534, 0.7762078200690246,
+ 0.776431505979507, 0.7766549683102981, 0.7768782072848712,
+ 0.7771012231264764, 0.7773240160581409, 0.7775465863026686,
+ 0.777768934082641, 0.7779910596204169, 0.7782129631381333,
+ 0.7784346448577044, 0.7786561050008232, 0.778877343788961,
+ 0.7790983614433675, 0.7793191581850717, 0.7795397342348812,
+ 0.7797600898133831, 0.779980225140944, 0.7802001404377104,
+ 0.7804198359236085, 0.7806393118183448, 0.7808585683414061,
+ 0.7810776057120601, 0.781296424149355, 0.7815150238721202,
+ 0.7817334050989665, 0.7819515680482858, 0.7821695129382523,
+ 0.7823872399868217, 0.7826047494117317, 0.7828220414305029,
+ 0.7830391162604382, 0.7832559741186232, 0.7834726152219267,
+ 0.7836890397870004, 0.7839052480302802, 0.7841212401679847,
+ 0.784337016416117, 0.7845525769904642, 0.7847679221065977,
+ 0.7849830519798734, 0.7851979668254319, 0.7854126668581988,
+ 0.7856271522928848, 0.7858414233439863, 0.786055480225785,
+ 0.7862693231523483, 0.7864829523375302, 0.7866963679949702,
+ 0.786909570338095, 0.7871225595801175, 0.7873353359340374,
+ 0.7875478996126419, 0.7877602508285053, 0.7879723897939895,
+ 0.7881843167212441, 0.7883960318222065, 0.7886075353086026,
+ 0.7888188273919463, 0.7890299082835402, 0.7892407781944761,
+ 0.7894514373356343, 0.7896618859176843, 0.7898721241510854,
+ 0.7900821522460864, 0.7902919704127259, 0.7905015788608325,
+ 0.7907109778000253, 0.7909201674397135, 0.7911291479890974,
+ 0.7913379196571678, 0.7915464826527071, 0.7917548371842886,
+ 0.7919629834602773, 0.7921709216888297, 0.7923786520778948,
+ 0.7925861748352132, 0.792793490168318, 0.7930005982845352,
+ 0.7932074993909828, 0.7934141936945727, 0.7936206814020093,
+ 0.7938269627197908, 0.7940330378542089, 0.7942389070113488,
+ 0.7944445703970903, 0.7946500282171067, 0.7948552806768664,
+ 0.7950603279816321, 0.7952651703364613, 0.7954698079462066,
+ 0.795674241015516, 0.7958784697488326, 0.7960824943503956,
+ 0.7962863150242396, 0.7964899319741956, 0.7966933454038909,
+ 0.7968965555167487, 0.7970995625159897, 0.7973023666046308,
+ 0.7975049679854864, 0.7977073668611679, 0.7979095634340845,
+ 0.7981115579064427, 0.7983133504802473, 0.7985149413573007,
+ 0.7987163307392042, 0.798917518827357, 0.7991185058229575,
+ 0.7993192919270025, 0.7995198773402883, 0.7997202622634103,
+ 0.7999204468967637, 0.8001204314405428, 0.8003202160947424,
+ 0.800519801059157, 0.8007191865333817, 0.800918372716812,
+ 0.8011173598086438, 0.8013161480078745, 0.8015147375133019,
+ 0.8017131285235258, 0.8019113212369471, 0.802109315851768,
+ 0.8023071125659935, 0.8025047115774301, 0.8027021130836867,
+ 0.8028993172821746, 0.803096324370108, 0.8032931345445038,
+ 0.8034897480021821, 0.803686164939766, 0.8038823855536825,
+ 0.8040784100401619, 0.8042742385952387, 0.8044698714147511,
+ 0.8046653086943416, 0.8048605506294575, 0.8050555974153505,
+ 0.805250449247077, 0.8054451063194986, 0.8056395688272824,
+ 0.8058338369649003, 0.8060279109266304, 0.8062217909065561,
+ 0.8064154770985675, 0.8066089696963602, 0.8068022688934365,
+ 0.8069953748831056, 0.8071882878584826, 0.8073810080124906,
+ 0.8075735355378592, 0.8077658706271256, 0.8079580134726345,
+ 0.8081499642665384, 0.8083417232007978, 0.8085332904671811,
+ 0.8087246662572652, 0.8089158507624357, 0.8091068441738862,
+ 0.8092976466826202, 0.8094882584794493, 0.8096786797549951,
+ 0.8098689106996885, 0.8100589515037697, 0.8102488023572891,
+ 0.8104384634501073, 0.8106279349718947, 0.8108172171121322,
+ 0.8110063100601117, 0.8111952140049353, 0.8113839291355168,
+ 0.8115724556405804, 0.8117607937086623, 0.8119489435281099,
+ 0.8121369052870824, 0.812324679173551, 0.812512265375299,
+ 0.8126996640799221, 0.8128868754748282, 0.8130738997472382,
+ 0.8132607370841858, 0.8134473876725176, 0.8136338516988935,
+ 0.8138201293497869, 0.8140062208114848, 0.814192126270088,
+ 0.8143778459115112, 0.8145633799214833, 0.8147487284855478,
+ 0.8149338917890624, 0.8151188700171998, 0.8153036633549473,
+ 0.8154882719871077, 0.8156726960982986, 0.8158569358729537,
+ 0.8160409914953217, 0.8162248631494677, 0.8164085510192725,
+ 0.8165920552884329, 0.8167753761404626, 0.8169585137586917,
+ 0.8171414683262668, 0.8173242400261517, 0.8175068290411273,
+ 0.8176892355537917, 0.8178714597465606, 0.8180535018016672,
+ 0.8182353619011631, 0.8184170402269169, 0.8185985369606164,
+ 0.8187798522837673, 0.818960986377694, 0.8191419394235397,
+ 0.8193227116022666, 0.8195033030946558, 0.8196837140813078,
+ 0.8198639447426428, 0.8200439952589003, 0.82022386581014,
+ 0.8204035565762413, 0.8205830677369041, 0.8207623994716485,
+ 0.8209415519598153, 0.8211205253805658, 0.8212993199128824,
+ 0.8214779357355688, 0.8216563730272495, 0.821834631966371,
+ 0.8220127127312008, 0.8221906154998289, 0.8223683404501668,
+ 0.8225458877599486, 0.8227232576067303, 0.8229004501678905,
+ 0.823077465620631, 0.8232543041419758, 0.8234309659087724,
+ 0.8236074510976914, 0.8237837598852269, 0.8239598924476964,
+ 0.8241358489612414, 0.824311629601827, 0.824487234545243,
+ 0.8246626639671029, 0.8248379180428449, 0.825012996947732,
+ 0.8251879008568518, 0.8253626299451169, 0.8255371843872652,
+ 0.8257115643578599, 0.8258857700312896, 0.8260598015817688,
+ 0.8262336591833378, 0.8264073430098628, 0.8265808532350365,
+ 0.8267541900323776, 0.8269273535752317, 0.827100344036771,
+ 0.8272731615899946, 0.8274458064077288, 0.827618278662627,
+ 0.82779057852717, 0.8279627061736664, 0.8281346617742524,
+ 0.8283064455008924, 0.8284780575253785, 0.8286494980193315,
+ 0.8288207671542003, 0.8289918651012627, 0.8291627920316252,
+ 0.8293335481162234, 0.8295041335258218, 0.8296745484310144,
+ 0.8298447930022248, 0.8300148674097056, 0.8301847718235403,
+ 0.8303545064136416, 0.8305240713497526, 0.8306934668014466,
+ 0.8308626929381278, 0.8310317499290305, 0.8312006379432204,
+ 0.8313693571495938, 0.8315379077168785, 0.8317062898136335,
+ 0.8318745036082493, 0.832042549268948, 0.8322104269637839,
+ 0.8323781368606429, 0.8325456791272434, 0.832713053931136,
+ 0.8328802614397041, 0.8330473018201633, 0.8332141752395624,
+ 0.8333808818647833, 0.8335474218625409, 0.8337137953993836,
+ 0.8338800026416932, 0.8340460437556851, 0.8342119189074092,
+ 0.8343776282627485, 0.8345431719874209, 0.8347085502469783,
+ 0.8348737632068073, 0.8350388110321292, 0.8352036938879999,
+ 0.8353684119393107, 0.8355329653507878, 0.8356973542869929,
+ 0.8358615789123232, 0.8360256393910115, 0.8361895358871263,
+ 0.8363532685645727, 0.8365168375870914, 0.8366802431182595,
+ 0.8368434853214908, 0.8370065643600357, 0.8371694803969815,
+ 0.8373322335952522, 0.8374948241176092, 0.8376572521266514,
+ 0.8378195177848147, 0.8379816212543728, 0.8381435626974376,
+ 0.8383053422759583, 0.838466960151723, 0.8386284164863572,
+ 0.8387897114413256, 0.8389508451779313, 0.8391118178573159,
+ 0.8392726296404602, 0.8394332806881842, 0.8395937711611469,
+ 0.8397541012198466, 0.8399142710246217, 0.8400742807356499,
+ 0.8402341305129489, 0.8403938205163765, 0.8405533509056307,
+ 0.8407127218402499, 0.840871933479613, 0.8410309859829395,
+ 0.8411898795092901, 0.8413486142175661, 0.8415071902665103,
+ 0.8416656078147067, 0.8418238670205807, 0.8419819680423992,
+ 0.8421399110382716, 0.8422976961661485, 0.842455323583823,
+ 0.8426127934489304, 0.8427701059189485, 0.8429272611511976,
+ 0.8430842593028409, 0.8432411005308843, 0.8433977849921769,
+ 0.8435543128434111, 0.8437106842411225, 0.8438668993416903,
+ 0.8440229583013376, 0.844178861276131, 0.8443346084219814,
+ 0.8444901998946436, 0.844645635849717, 0.8448009164426452,
+ 0.8449560418287168, 0.8451110121630647, 0.8452658276006672,
+ 0.8454204882963473, 0.8455749944047737, 0.8457293460804599,
+ 0.8458835434777657, 0.8460375867508959, 0.8461914760539017,
+ 0.84634521154068, 0.8464987933649739, 0.8466522216803731,
+ 0.8468054966403136, 0.8469586183980778, 0.8471115871067953,
+ 0.8472644029194426, 0.8474170659888429, 0.8475695764676672,
+ 0.8477219345084333, 0.847874140263507, 0.8480261938851019,
+ 0.8481780955252789, 0.8483298453359475, 0.8484814434688648,
+ 0.8486328900756369, 0.8487841853077177, 0.8489353293164102,
+ 0.849086322252866, 0.8492371642680854, 0.8493878555129181,
+ 0.8495383961380629, 0.8496887862940679, 0.8498390261313309,
+ 0.8499891158000991, 0.8501390554504697, 0.85028884523239,
+ 0.8504384852956572, 0.8505879757899191, 0.8507373168646731,
+ 0.8508865086692684, 0.8510355513529038, 0.8511844450646298,
+ 0.8513331899533472, 0.8514817861678088, 0.8516302338566177,
+ 0.8517785331682296, 0.8519266842509509, 0.85207468725294,
+ 0.8522225423222076, 0.8523702496066161, 0.8525178092538801,
+ 0.8526652214115666, 0.8528124862270953, 0.8529596038477383,
+ 0.8531065744206205, 0.85325339809272, 0.8534000750108679,
+ 0.8535466053217482, 0.8536929891718986, 0.8538392267077105,
+ 0.8539853180754285, 0.8541312634211514, 0.8542770628908319,
+ 0.8544227166302768, 0.8545682247851469, 0.8547135875009579,
+ 0.8548588049230796, 0.855003877196737, 0.8551488044670092,
+ 0.8552935868788312, 0.8554382245769923, 0.8555827177061375,
+ 0.8557270664107673, 0.8558712708352376, 0.8560153311237599,
+ 0.856159247420402, 0.8563030198690871, 0.856446648613595,
+ 0.8565901337975617, 0.8567334755644793, 0.8568766740576972,
+ 0.8570197294204205, 0.8571626417957122, 0.8573054113264916,
+ 0.8574480381555355, 0.8575905224254777, 0.8577328642788098,
+ 0.8578750638578807, 0.858017121304897, 0.8581590367619234,
+ 0.8583008103708825, 0.8584424422735549, 0.8585839326115796,
+ 0.8587252815264541, 0.8588664891595343, 0.859007555652035,
+ 0.8591484811450298, 0.8592892657794511, 0.8594299096960906,
+ 0.8595704130355993, 0.8597107759384877, 0.8598509985451255,
+ 0.8599910809957425, 0.860131023430428, 0.8602708259891318,
+ 0.860410488811663, 0.8605500120376919, 0.8606893958067482,
+ 0.860828640258223, 0.8609677455313677, 0.8611067117652944,
+ 0.8612455390989764, 0.8613842276712479, 0.8615227776208045,
+ 0.861661189086203, 0.861799462205862, 0.8619375971180612,
+ 0.8620755939609428, 0.8622134528725103, 0.8623511739906297,
+ 0.8624887574530288, 0.8626262033972982, 0.8627635119608905,
+ 0.8629006832811212, 0.8630377174951687, 0.8631746147400738,
+ 0.8633113751527407, 0.8634479988699366, 0.8635844860282923,
+ 0.8637208367643016, 0.863857051214322, 0.863993129514575,
+ 0.8641290718011454, 0.8642648782099827, 0.8644005488768997,
+ 0.8645360839375741, 0.8646714835275477, 0.8648067477822269,
+ 0.8649418768368826, 0.8650768708266509, 0.8652117298865323,
+ 0.8653464541513926, 0.8654810437559629, 0.8656154988348397,
+ 0.8657498195224845, 0.8658840059532249, 0.8660180582612541,
+ 0.8661519765806309, 0.8662857610452807, 0.8664194117889943,
+ 0.8665529289454292, 0.8666863126481095, 0.8668195630304253,
+ 0.8669526802256338, 0.8670856643668587, 0.8672185155870911,
+ 0.8673512340191886, 0.8674838197958764, 0.8676162730497469,
+ 0.86774859391326, 0.8678807825187431, 0.8680128389983915,
+ 0.8681447634842684, 0.8682765561083047, 0.8684082170022998,
+ 0.868539746297921, 0.8686711441267043, 0.868802410620054,
+ 0.8689335459092434, 0.8690645501254142, 0.8691954233995772,
+ 0.8693261658626122, 0.8694567776452683, 0.8695872588781637,
+ 0.8697176096917862, 0.8698478302164931, 0.8699779205825117,
+ 0.8701078809199386, 0.8702377113587407, 0.8703674120287551,
+ 0.8704969830596888, 0.8706264245811194, 0.8707557367224948,
+ 0.8708849196131337, 0.8710139733822255, 0.8711428981588305,
+ 0.8712716940718797, 0.8714003612501755, 0.8715288998223918,
+ 0.8716573099170732, 0.8717855916626367, 0.87191374518737,
+ 0.8720417706194334, 0.8721696680868585, 0.8722974377175494,
+ 0.8724250796392818, 0.8725525939797045, 0.8726799808663378,
+ 0.8728072404265751, 0.8729343727876824, 0.8730613780767983,
+ 0.8731882564209346, 0.8733150079469759, 0.8734416327816801,
+ 0.8735681310516784, 0.8736945028834754, 0.8738207484034491,
+ 0.8739468677378517, 0.8740728610128086, 0.8741987283543193,
+ 0.8743244698882576, 0.8744500857403713, 0.8745755760362827,
+ 0.8747009409014881, 0.8748261804613587, 0.8749512948411405,
+ 0.8750762841659541, 0.8752011485607949, 0.8753258881505338,
+ 0.8754505030599165, 0.8755749934135642, 0.8756993593359733,
+ 0.8758236009515162, 0.8759477183844406, 0.8760717117588703,
+ 0.8761955811988048, 0.8763193268281196, 0.8764429487705668,
+ 0.8765664471497743, 0.8766898220892468, 0.8768130737123654,
+ 0.8769362021423878, 0.8770592075024486, 0.8771820899155596,
+ 0.877304849504609, 0.8774274863923627, 0.8775500007014637,
+ 0.8776723925544325, 0.8777946620736671, 0.877916809381443,
+ 0.8780388345999137, 0.8781607378511106, 0.878282519256943,
+ 0.8784041789391985, 0.8785257170195427, 0.8786471336195198,
+ 0.8787684288605526, 0.8788896028639424, 0.8790106557508692,
+ 0.879131587642392, 0.8792523986594486, 0.8793730889228563,
+ 0.8794936585533112, 0.8796141076713891, 0.8797344363975452,
+ 0.8798546448521141, 0.8799747331553104, 0.8800947014272282,
+ 0.8802145497878422, 0.8803342783570063, 0.8804538872544554,
+ 0.8805733765998042, 0.880692746512548, 0.8808119971120629,
+ 0.8809311285176054, 0.8810501408483128, 0.8811690342232034,
+ 0.8812878087611765, 0.8814064645810127, 0.8815250018013736,
+ 0.8816434205408026, 0.8817617209177241, 0.8818799030504446,
+ 0.881997967057152, 0.8821159130559164, 0.8822337411646896,
+ 0.8823514515013056, 0.8824690441834806, 0.8825865193288132,
+ 0.8827038770547845, 0.882821117478758, 0.8829382407179801,
+ 0.8830552468895799, 0.8831721361105693, 0.8832889084978436,
+ 0.8834055641681807, 0.8835221032382424, 0.8836385258245736,
+ 0.8837548320436025, 0.8838710220116414, 0.8839870958448859,
+ 0.8841030536594157, 0.8842188955711945, 0.8843346216960699,
+ 0.8844502321497738, 0.8845657270479226, 0.884681106506017,
+ 0.8847963706394419, 0.8849115195634676, 0.8850265533932485,
+ 0.8851414722438244, 0.8852562762301199, 0.8853709654669446,
+ 0.8854855400689936, 0.8856000001508472, 0.8857143458269712,
+ 0.8858285772117169, 0.8859426944193215, 0.886056697563908,
+ 0.8861705867594852, 0.886284362119948, 0.8863980237590774,
+ 0.8865115717905409, 0.886625006327892, 0.8867383274845709,
+ 0.8868515353739047, 0.8869646301091068, 0.8870776118032776,
+ 0.8871904805694044, 0.8873032365203618, 0.8874158797689111,
+ 0.8875284104277016, 0.8876408286092692, 0.8877531344260379,
+ 0.8878653279903191, 0.887977409414312, 0.8880893788101037,
+ 0.8882012362896692, 0.8883129819648714, 0.8884246159474617,
+ 0.8885361383490797, 0.8886475492812533, 0.8887588488553992,
+ 0.8888700371828224, 0.8889811143747167, 0.889092080542165,
+ 0.8892029357961391, 0.8893136802474997, 0.8894243140069966,
+ 0.8895348371852695, 0.8896452498928469, 0.8897555522401469,
+ 0.8898657443374777, 0.8899758262950366, 0.8900857982229112,
+ 0.8901956602310791, 0.8903054124294075, 0.8904150549276544,
+ 0.8905245878354675, 0.8906340112623854, 0.890743325317837,
+ 0.8908525301111416, 0.8909616257515098, 0.8910706123480425,
+ 0.8911794900097318, 0.8912882588454608, 0.8913969189640039,
+ 0.8915054704740264, 0.8916139134840855, 0.8917222481026295,
+ 0.8918304744379983, 0.8919385925984241, 0.8920466026920302,
+ 0.892154504826832, 0.8922622991107373, 0.8923699856515456,
+ 0.8924775645569488, 0.8925850359345313, 0.8926923998917698,
+ 0.8927996565360339, 0.8929068059745852, 0.8930138483145786,
+ 0.893120783663062, 0.893227612126976, 0.8933343338131544,
+ 0.8934409488283243, 0.8935474572791059, 0.8936538592720131,
+ 0.8937601549134532, 0.8938663443097271, 0.8939724275670298,
+ 0.8940784047914494, 0.8941842760889689, 0.8942900415654645,
+ 0.8943957013267073, 0.8945012554783621, 0.8946067041259885,
+ 0.8947120473750404, 0.8948172853308664, 0.8949224180987094,
+ 0.8950274457837079, 0.8951323684908944, 0.8952371863251972,
+ 0.8953418993914393, 0.8954465077943389, 0.8955510116385097,
+ 0.8956554110284607, 0.8957597060685968, 0.8958638968632179,
+ 0.8959679835165203, 0.8960719661325957, 0.896175844815432,
+ 0.896279619668913, 0.8963832907968189, 0.8964868583028258,
+ 0.8965903222905067, 0.8966936828633305, 0.896796940124663,
+ 0.8969000941777667, 0.8970031451258009, 0.8971060930718215,
+ 0.8972089381187818, 0.8973116803695318, 0.8974143199268191,
+ 0.8975168568932882, 0.8976192913714813, 0.8977216234638381,
+ 0.8978238532726956, 0.8979259809002891, 0.8980280064487509,
+ 0.8981299300201119, 0.8982317517163008, 0.8983334716391442,
+ 0.8984350898903674, 0.8985366065715934, 0.8986380217843444,
+ 0.8987393356300403, 0.8988405482100001, 0.8989416596254416,
+ 0.8990426699774813, 0.8991435793671343, 0.8992443878953154,
+ 0.8993450956628379, 0.8994457027704149, 0.8995462093186584,
+ 0.8996466154080798, 0.8997469211390905, 0.8998471266120011,
+ 0.8999472319270221, 0.9000472371842639, 0.9001471424837368,
+ 0.900246947925351, 0.9003466536089169, 0.9004462596341453,
+ 0.9005457661006472, 0.9006451731079339, 0.9007444807554176,
+ 0.9008436891424108, 0.9009427983681269, 0.9010418085316799,
+ 0.9011407197320853, 0.9012395320682589, 0.9013382456390182,
+ 0.9014368605430817, 0.9015353768790692, 0.9016337947455018,
+ 0.9017321142408026, 0.9018303354632957, 0.9019284585112075,
+ 0.9020264834826659, 0.9021244104757008, 0.902222239588244,
+ 0.9023199709181295, 0.9024176045630937, 0.9025151406207751,
+ 0.9026125791887144, 0.9027099203643554, 0.9028071642450438,
+ 0.9029043109280286, 0.9030013605104612, 0.9030983130893961,
+ 0.9031951687617908, 0.9032919276245058, 0.9033885897743048,
+ 0.9034851553078548, 0.9035816243217261, 0.9036779969123925,
+ 0.9037742731762315, 0.9038704532095243, 0.9039665371084555,
+ 0.9040625249691141, 0.9041584168874925, 0.9042542129594877,
+ 0.9043499132809003, 0.9044455179474356, 0.9045410270547029,
+ 0.9046364406982161, 0.9047317589733939, 0.904826981975559,
+ 0.9049221097999394, 0.9050171425416674, 0.9051120802957809,
+ 0.9052069231572222, 0.9053016712208388, 0.9053963245813839,
+ 0.905490883333515, 0.9055853475717961, 0.9056797173906961,
+ 0.9057739928845893, 0.905868174147756, 0.9059622612743823,
+ 0.90605625435856, 0.9061501534942868, 0.9062439587754667,
+ 0.9063376702959095, 0.9064312881493316, 0.9065248124293553,
+ 0.9066182432295098, 0.9067115806432304, 0.9068048247638594,
+ 0.9068979756846454, 0.9069910334987441, 0.9070839982992178,
+ 0.9071768701790361, 0.9072696492310757, 0.90736233554812,
+ 0.90745492922286, 0.9075474303478941, 0.9076398390157281,
+ 0.9077321553187752, 0.9078243793493563, 0.9079165111997002,
+ 0.9080085509619433, 0.9081004987281299, 0.9081923545902124,
+ 0.9082841186400513, 0.9083757909694153, 0.9084673716699811,
+ 0.9085588608333344, 0.9086502585509685, 0.9087415649142858,
+ 0.9088327800145974, 0.908923903943123, 0.9090149367909909,
+ 0.9091058786492385, 0.9091967296088124, 0.909287489760568,
+ 0.9093781591952699, 0.9094687380035923, 0.9095592262761184,
+ 0.9096496241033409, 0.9097399315756625, 0.9098301487833949,
+ 0.9099202758167598, 0.910010312765889, 0.9101002597208238,
+ 0.9101901167715155, 0.910279884007826, 0.9103695615195267,
+ 0.9104591493962999, 0.9105486477277378, 0.9106380566033433,
+ 0.9107273761125296, 0.9108166063446208, 0.9109057473888515,
+ 0.9109947993343673, 0.9110837622702247, 0.9111726362853909,
+ 0.9112614214687444, 0.911350117909075, 0.9114387256950834,
+ 0.911527244915382, 0.9116156756584941, 0.9117040180128553,
+ 0.9117922720668121, 0.9118804379086232, 0.9119685156264585,
+ 0.9120565053084004, 0.9121444070424432, 0.9122322209164925,
+ 0.9123199470183669, 0.9124075854357969, 0.9124951362564252,
+ 0.9125825995678071, 0.9126699754574101, 0.9127572640126148,
+ 0.912844465320714, 0.9129315794689131, 0.913018606544331,
+ 0.9131055466339988, 0.9131923998248612, 0.9132791662037757,
+ 0.9133658458575129, 0.9134524388727568, 0.9135389453361049,
+ 0.913625365334068, 0.9137116989530703, 0.9137979462794497,
+ 0.9138841073994579, 0.9139701823992605, 0.9140561713649367,
+ 0.9141420743824795, 0.9142278915377967, 0.9143136229167095,
+ 0.9143992686049536, 0.9144848286881788, 0.9145703032519499,
+ 0.9146556923817453, 0.9147409961629587, 0.914826214680898,
+ 0.914911348020786, 0.9149963962677603, 0.9150813595068735,
+ 0.9151662378230931, 0.9152510313013016, 0.9153357400262967,
+ 0.9154203640827914, 0.9155049035554139, 0.9155893585287082,
+ 0.9156737290871331, 0.9157580153150636, 0.9158422172967903,
+ 0.9159263351165191, 0.9160103688583723, 0.9160943186063876,
+ 0.916178184444519, 0.9162619664566368, 0.9163456647265269,
+ 0.916429279337892, 0.9165128103743506, 0.9165962579194382,
+ 0.9166796220566065, 0.9167629028692236, 0.9168461004405747,
+ 0.9169292148538615, 0.9170122461922025, 0.9170951945386331,
+ 0.917178059976106, 0.9172608425874909, 0.9173435424555741,
+ 0.9174261596630601, 0.91750869429257, 0.9175911464266425,
+ 0.9176735161477341, 0.9177558035382184, 0.917838008680387,
+ 0.9179201316564493, 0.9180021725485321, 0.9180841314386807,
+ 0.9181660084088579, 0.9182478035409449, 0.9183295169167409,
+ 0.9184111486179632, 0.9184926987262478, 0.9185741673231488,
+ 0.9186555544901389, 0.9187368603086093, 0.91881808485987,
+ 0.9188992282251496, 0.9189802904855953, 0.9190612717222737,
+ 0.91914217201617, 0.9192229914481884, 0.9193037300991527,
+ 0.9193843880498053, 0.9194649653808084, 0.9195454621727431,
+ 0.9196258785061104, 0.9197062144613308, 0.919786470118744,
+ 0.91986664555861, 0.9199467408611078, 0.9200267561063371,
+ 0.9201066913743171, 0.9201865467449869, 0.920266322298206,
+ 0.9203460181137539, 0.9204256342713305, 0.9205051708505558,
+ 0.9205846279309705, 0.9206640055920355, 0.9207433039131326,
+ 0.920822522973564, 0.9209016628525528, 0.9209807236292428,
+ 0.9210597053826987, 0.9211386081919062, 0.9212174321357721,
+ 0.9212961772931243, 0.921374843742712, 0.9214534315632054,
+ 0.9215319408331963, 0.921610371631198, 0.9216887240356452,
+ 0.9217669981248942, 0.9218451939772229, 0.9219233116708312,
+ 0.9220013512838408, 0.922079312894295, 0.9221571965801594,
+ 0.9222350024193217, 0.9223127304895915, 0.9223903808687008,
+ 0.9224679536343039, 0.9225454488639774, 0.9226228666352204,
+ 0.9227002070254546, 0.9227774701120243, 0.9228546559721964,
+ 0.9229317646831606, 0.9230087963220295, 0.9230857509658387,
+ 0.9231626286915464, 0.9232394295760346, 0.9233161536961076,
+ 0.9233928011284936, 0.923469371949844, 0.9235458662367332,
+ 0.9236222840656594, 0.9236986255130443, 0.9237748906552331,
+ 0.9238510795684949, 0.9239271923290222, 0.9240032290129317,
+ 0.924079189696264, 0.9241550744549836, 0.9242308833649787,
+ 0.9243066165020624, 0.9243822739419714, 0.9244578557603671,
+ 0.9245333620328349, 0.9246087928348851, 0.924684148241952,
+ 0.9247594283293951, 0.9248346331724979, 0.9249097628464693,
+ 0.9249848174264427, 0.9250597969874763, 0.9251347016045535,
+ 0.9252095313525827, 0.9252842863063973, 0.9253589665407561,
+ 0.9254335721303429, 0.9255081031497674, 0.9255825596735638,
+ 0.925656941776193, 0.9257312495320402, 0.9258054830154173,
+ 0.9258796423005613, 0.9259537274616354, 0.9260277385727282,
+ 0.9261016757078547, 0.9261755389409557, 0.9262493283458981,
+ 0.9263230439964751, 0.9263966859664059, 0.9264702543293363,
+ 0.9265437491588382, 0.9266171705284102, 0.9266905185114773,
+ 0.9267637931813913, 0.9268369946114303, 0.9269101228747997,
+ 0.9269831780446312, 0.9270561601939835, 0.9271290693958427,
+ 0.9272019057231216, 0.9272746692486601, 0.9273473600452253,
+ 0.9274199781855118, 0.9274925237421413, 0.9275649967876629,
+ 0.9276373973945535, 0.9277097256352171, 0.9277819815819857,
+ 0.9278541653071188, 0.9279262768828038, 0.9279983163811558,
+ 0.9280702838742181, 0.9281421794339615, 0.9282140031322854,
+ 0.928285755041017, 0.9283574352319117, 0.9284290437766536,
+ 0.9285005807468545, 0.9285720462140551, 0.9286434402497245,
+ 0.9287147629252601, 0.9287860143119884, 0.9288571944811643,
+ 0.9289283035039714, 0.9289993414515223, 0.9290703083948587,
+ 0.9291412044049508, 0.9292120295526985, 0.9292827839089303,
+ 0.9293534675444041, 0.929424080529807, 0.9294946229357557,
+ 0.929565094832796, 0.9296354962914034, 0.9297058273819829,
+ 0.9297760881748691, 0.9298462787403263, 0.9299163991485486,
+ 0.9299864494696598, 0.9300564297737139, 0.9301263401306946,
+ 0.9301961806105158, 0.9302659512830215, 0.9303356522179858,
+ 0.9304052834851132, 0.9304748451540383, 0.9305443372943265,
+ 0.9306137599754734, 0.9306831132669048, 0.9307523972379779,
+ 0.9308216119579799, 0.9308907574961289, 0.9309598339215742,
+ 0.9310288413033956, 0.9310977797106037, 0.9311666492121407,
+ 0.9312354498768791, 0.9313041817736235, 0.931372844971109,
+ 0.9314414395380023, 0.9315099655429013, 0.9315784230543356,
+ 0.931646812140766, 0.9317151328705849, 0.9317833853121168,
+ 0.9318515695336174, 0.9319196856032741, 0.9319877335892067,
+ 0.9320557135594665, 0.9321236255820369, 0.9321914697248331,
+ 0.932259246055703, 0.9323269546424261, 0.9323945955527144,
+ 0.9324621688542122, 0.9325296746144962, 0.9325971129010756,
+ 0.932664483781392, 0.9327317873228197, 0.9327990235926655,
+ 0.9328661926581692, 0.9329332945865031, 0.9330003294447725,
+ 0.9330672973000157, 0.9331341982192038, 0.9332010322692412,
+ 0.9332677995169653, 0.9333345000291465, 0.9334011338724888,
+ 0.9334677011136294, 0.9335342018191388, 0.933600636055521,
+ 0.9336670038892136, 0.9337333053865879, 0.9337995406139487,
+ 0.9338657096375342, 0.9339318125235172, 0.9339978493380036,
+ 0.9340638201470336, 0.9341297250165813, 0.9341955640125549,
+ 0.9342613372007967, 0.9343270446470832, 0.934392686417125,
+ 0.9344582625765674, 0.9345237731909896, 0.9345892183259056,
+ 0.9346545980467639, 0.9347199124189474, 0.9347851615077736,
+ 0.9348503453784951, 0.934915464096299, 0.9349805177263071,
+ 0.9350455063335765, 0.935110429983099, 0.9351752887398014,
+ 0.9352400826685459, 0.9353048118341294, 0.9353694763012845,
+ 0.9354340761346789, 0.9354986113989157, 0.9355630821585332,
+ 0.9356274884780056, 0.9356918304217424, 0.9357561080540887,
+ 0.9358203214393254, 0.935884470641669, 0.935948555725272,
+ 0.9360125767542229, 0.9360765337925455, 0.9361404269042004,
+ 0.9362042561530837, 0.936268021603028, 0.9363317233178019,
+ 0.9363953613611101, 0.9364589357965942, 0.9365224466878316,
+ 0.9365858940983364, 0.9366492780915591, 0.936712598730887,
+ 0.9367758560796439, 0.9368390502010903, 0.9369021811584234,
+ 0.9369652490147774, 0.9370282538332233, 0.9370911956767691,
+ 0.9371540746083598, 0.9372168906908774, 0.9372796439871413,
+ 0.9373423345599077, 0.9374049624718706, 0.9374675277856607,
+ 0.9375300305638467, 0.9375924708689344, 0.9376548487633674,
+ 0.9377171643095265, 0.9377794175697305, 0.9378416086062357,
+ 0.9379037374812362, 0.9379658042568643, 0.9380278089951894,
+ 0.9380897517582198, 0.9381516326079011, 0.9382134516061174,
+ 0.9382752088146906, 0.9383369042953812, 0.9383985381098876,
+ 0.9384601103198469, 0.9385216209868342, 0.9385830701723633,
+ 0.9386444579378865, 0.9387057843447948, 0.9387670494544174,
+ 0.9388282533280224, 0.9388893960268172, 0.9389504776119472,
+ 0.9390114981444971, 0.9390724576854905, 0.9391333562958901,
+ 0.9391941940365974, 0.9392549709684533, 0.9393156871522378,
+ 0.93937634264867, 0.9394369375184085, 0.9394974718220512,
+ 0.9395579456201354, 0.9396183589731381, 0.9396787119414755,
+ 0.9397390045855035, 0.939799236965518, 0.9398594091417544,
+ 0.9399195211743876, 0.9399795731235329, 0.9400395650492452,
+ 0.9400994970115194, 0.9401593690702905, 0.9402191812854336,
+ 0.9402789337167637, 0.9403386264240365, 0.9403982594669476,
+ 0.940457832905133, 0.940517346798169, 0.9405768012055726,
+ 0.9406361961868013, 0.9406955318012529, 0.940754808108266,
+ 0.9408140251671199, 0.9408731830370346, 0.9409322817771709,
+ 0.9409913214466307, 0.9410503021044564, 0.9411092238096317,
+ 0.9411680866210813, 0.9412268905976708, 0.9412856357982075,
+ 0.941344322281439, 0.9414029501060551, 0.9414615193306864,
+ 0.9415200300139053, 0.941578482214225, 0.941636875990101,
+ 0.9416952113999298, 0.9417534885020499, 0.9418117073547411,
+ 0.9418698680162253, 0.941927970544666, 0.9419860149981688,
+ 0.942044001434781, 0.9421019299124918, 0.9421598004892326,
+ 0.942217613222877, 0.9422753681712407, 0.9423330653920813,
+ 0.9423907049430991, 0.9424482868819364, 0.9425058112661782,
+ 0.9425632781533515, 0.9426206876009263, 0.9426780396663149,
+ 0.9427353344068722, 0.9427925718798956, 0.9428497521426258,
+ 0.9429068752522458, 0.9429639412658815, 0.9430209502406017,
+ 0.9430779022334184, 0.9431347973012864, 0.9431916355011035,
+ 0.943248416889711, 0.9433051415238928, 0.9433618094603766,
+ 0.9434184207558332, 0.9434749754668766, 0.9435314736500644,
+ 0.9435879153618977, 0.9436443006588208, 0.943700629597222,
+ 0.9437569022334331, 0.9438131186237295, 0.9438692788243304,
+ 0.9439253828913987, 0.9439814308810415, 0.9440374228493094,
+ 0.9440933588521973, 0.9441492389456438, 0.9442050631855321,
+ 0.944260831627689, 0.9443165443278859, 0.9443722013418382,
+ 0.9444278027252058, 0.9444833485335926, 0.9445388388225474,
+ 0.9445942736475633, 0.9446496530640779, 0.9447049771274733,
+ 0.9447602458930763, 0.9448154594161584, 0.9448706177519361,
+ 0.9449257209555705, 0.9449807690821673, 0.9450357621867775,
+ 0.9450907003243971, 0.9451455835499669, 0.9452004119183728,
+ 0.9452551854844459, 0.9453099043029627, 0.9453645684286445,
+ 0.9454191779161585, 0.9454737328201165, 0.9455282331950765,
+ 0.9455826790955414, 0.9456370705759599, 0.9456914076907262,
+ 0.9457456904941802, 0.9457999190406073, 0.9458540933842389,
+ 0.9459082135792518, 0.9459622796797692, 0.9460162917398598,
+ 0.9460702498135383, 0.9461241539547656, 0.9461780042174485,
+ 0.9462318006554398, 0.9462855433225388, 0.9463392322724908,
+ 0.9463928675589875, 0.9464464492356669, 0.9464999773561132,
+ 0.9465534519738573, 0.9466068731423766, 0.9466602409150947,
+ 0.9467135553453823, 0.9467668164865563, 0.9468200243918806,
+ 0.9468731791145658, 0.9469262807077692, 0.9469793292245952,
+ 0.9470323247180947, 0.9470852672412661, 0.9471381568470545,
+ 0.9471909935883521, 0.9472437775179985, 0.94729650868878,
+ 0.9473491871534305, 0.9474018129646311, 0.9474543861750104,
+ 0.947506906837144, 0.9475593750035554, 0.9476117907267152,
+ 0.9476641540590419, 0.9477164650529015, 0.9477687237606074,
+ 0.947820930234421, 0.9478730845265516, 0.9479251866891558,
+ 0.9479772367743386, 0.9480292348341526, 0.9480811809205985,
+ 0.9481330750856248, 0.9481849173811285, 0.9482367078589544,
+ 0.9482884465708956, 0.9483401335686935, 0.9483917689040374,
+ 0.9484433526285655, 0.9484948847938639, 0.9485463654514675,
+ 0.9485977946528595, 0.9486491724494717, 0.9487004988926844,
+ 0.9487517740338266, 0.9488029979241761, 0.9488541706149594,
+ 0.9489052921573515, 0.9489563626024767, 0.9490073820014081,
+ 0.9490583504051674, 0.9491092678647257, 0.949160134431003,
+ 0.9492109501548684, 0.9492617150871402, 0.9493124292785858,
+ 0.949363092779922, 0.9494137056418149, 0.9494642679148797,
+ 0.9495147796496815, 0.9495652408967342, 0.9496156517065018,
+ 0.9496660121293976, 0.9497163222157846, 0.9497665820159753,
+ 0.949816791580232, 0.9498669509587669, 0.9499170602017419,
+ 0.9499671193592686, 0.9500171284814088, 0.950067087618174,
+ 0.9501169968195261, 0.9501668561353764, 0.950216665615587,
+ 0.95026642530997, 0.9503161352682872, 0.9503657955402512,
+ 0.9504154061755249, 0.9504649672237213, 0.950514478734404,
+ 0.9505639407570868, 0.9506133533412344, 0.9506627165362619,
+ 0.9507120303915347, 0.9507612949563694, 0.9508105102800329,
+ 0.9508596764117431, 0.9509087934006684, 0.9509578612959284,
+ 0.9510068801465934, 0.9510558500016847, 0.9511047709101746,
+ 0.9511536429209866, 0.951202466082995, 0.9512512404450253,
+ 0.9512999660558547, 0.9513486429642107, 0.9513972712187732,
+ 0.9514458508681726, 0.9514943819609909, 0.9515428645457619,
+ 0.9515912986709704, 0.951639684385053, 0.9516880217363978,
+ 0.9517363107733446, 0.951784551544185, 0.951832744097162,
+ 0.9518808884804706, 0.9519289847422577, 0.9519770329306219,
+ 0.9520250330936136, 0.9520729852792358, 0.9521208895354427,
+ 0.9521687459101411, 0.9522165544511899, 0.9522643152063998,
+ 0.9523120282235341, 0.9523596935503081, 0.9524073112343896,
+ 0.9524548813233987, 0.9525024038649078, 0.9525498789064418,
+ 0.9525973064954781, 0.9526446866794468, 0.9526920195057305,
+ 0.952739305021664, 0.9527865432745356, 0.9528337343115858,
+ 0.952880878180008, 0.9529279749269484, 0.952975024599506,
+ 0.9530220272447331, 0.9530689829096344, 0.9531158916411682,
+ 0.9531627534862454, 0.9532095684917301, 0.9532563367044399,
+ 0.9533030581711452, 0.95334973293857, 0.953396361053391,
+ 0.953442942562239, 0.9534894775116978, 0.9535359659483046,
+ 0.9535824079185502, 0.9536288034688788, 0.9536751526456884,
+ 0.9537214554953305, 0.9537677120641102, 0.9538139223982863,
+ 0.9538600865440717, 0.9539062045476328, 0.9539522764550896,
+ 0.9539983023125167, 0.9540442821659421, 0.9540902160613478,
+ 0.9541361040446703, 0.9541819461617997, 0.9542277424585806,
+ 0.9542734929808112, 0.9543191977742447, 0.954364856884588,
+ 0.9544104703575026, 0.9544560382386041, 0.9545015605734628,
+ 0.9545470374076034, 0.9545924687865047, 0.9546378547556006,
+ 0.9546831953602793, 0.9547284906458837, 0.9547737406577113,
+ 0.9548189454410143, 0.9548641050409999, 0.9549092195028299,
+ 0.954954288871621, 0.9549993131924449, 0.9550442925103281,
+ 0.9550892268702522, 0.9551341163171537, 0.9551789608959246,
+ 0.9552237606514113, 0.9552685156284162, 0.9553132258716963,
+ 0.9553578914259641, 0.9554025123358874, 0.9554470886460894,
+ 0.9554916204011485, 0.9555361076455989, 0.95558055042393,
+ 0.9556249487805867, 0.9556693027599696, 0.955713612406435,
+ 0.9557578777642948, 0.9558020988778163, 0.9558462757912232,
+ 0.9558904085486943, 0.9559344971943647, 0.9559785417723254,
+ 0.956022542326623, 0.9560664989012603, 0.956110411540196,
+ 0.9561542802873452, 0.9561981051865784, 0.9562418862817232,
+ 0.9562856236165626, 0.956329317234836, 0.9563729671802396,
+ 0.9564165734964252, 0.9564601362270014, 0.9565036554155332,
+ 0.9565471311055419, 0.9565905633405053, 0.9566339521638578,
+ 0.9566772976189906, 0.9567205997492512, 0.9567638585979438,
+ 0.9568070742083294, 0.956850246623626, 0.9568933758870082,
+ 0.9569364620416071, 0.9569795051305112, 0.9570225051967658,
+ 0.9570654622833731, 0.9571083764332923, 0.9571512476894396,
+ 0.9571940760946885, 0.9572368616918696, 0.9572796045237706,
+ 0.9573223046331365, 0.9573649620626694, 0.9574075768550291,
+ 0.9574501490528323, 0.9574926786986535, 0.9575351658350244,
+ 0.9575776105044342, 0.9576200127493298, 0.9576623726121156,
+ 0.9577046901351536, 0.9577469653607632, 0.9577891983312219,
+ 0.9578313890887649, 0.9578735376755849, 0.9579156441338328,
+ 0.9579577085056168, 0.9579997308330038, 0.958041711158018,
+ 0.9580836495226418, 0.9581255459688157, 0.9581674005384384,
+ 0.9582092132733664, 0.9582509842154145, 0.9582927134063559,
+ 0.9583344008879218, 0.9583760467018017, 0.9584176508896436,
+ 0.9584592134930536, 0.9585007345535966, 0.9585422141127957,
+ 0.9585836522121325, 0.9586250488930471, 0.9586664041969384,
+ 0.9587077181651635, 0.9587489908390389, 0.9587902222598389,
+ 0.9588314124687972, 0.958872561507106, 0.9589136694159165,
+ 0.9589547362363385, 0.9589957620094411, 0.959036746776252,
+ 0.9590776905777579, 0.9591185934549049, 0.9591594554485977,
+ 0.9592002765997005, 0.9592410569490364, 0.9592817965373879,
+ 0.9593224954054964, 0.9593631535940631, 0.9594037711437481,
+ 0.9594443480951709, 0.9594848844889106, 0.9595253803655055,
+ 0.9595658357654537, 0.9596062507292125, 0.9596466252971988,
+ 0.9596869595097893, 0.9597272534073203, 0.9597675070300876,
+ 0.9598077204183469, 0.9598478936123136, 0.9598880266521629,
+ 0.9599281195780297, 0.9599681724300092, 0.9600081852481561,
+ 0.9600481580724852, 0.9600880909429714, 0.9601279838995496,
+ 0.9601678369821147, 0.9602076502305217, 0.960247423684586,
+ 0.9602871573840829, 0.9603268513687482, 0.9603665056782777,
+ 0.9604061203523281, 0.9604456954305156, 0.9604852309524174,
+ 0.9605247269575712, 0.9605641834854747, 0.9606036005755866,
+ 0.9606429782673258, 0.9606823166000722, 0.9607216156131659,
+ 0.960760875345908, 0.9608000958375601, 0.9608392771273447,
+ 0.9608784192544451, 0.9609175222580052, 0.9609565861771302,
+ 0.9609956110508859, 0.9610345969182992, 0.9610735438183576,
+ 0.9611124517900103, 0.9611513208721671, 0.9611901511036991,
+ 0.9612289425234383, 0.9612676951701782, 0.9613064090826733,
+ 0.9613450842996396, 0.9613837208597541, 0.9614223188016553,
+ 0.9614608781639432, 0.9614993989851791, 0.9615378813038855,
+ 0.961576325158547, 0.961614730587609, 0.9616530976294793,
+ 0.9616914263225265, 0.9617297167050812, 0.961767968815436,
+ 0.9618061826918447, 0.9618443583725231, 0.9618824958956489,
+ 0.9619205952993615, 0.9619586566217622, 0.9619966799009141,
+ 0.9620346651748426, 0.9620726124815346, 0.9621105218589396,
+ 0.9621483933449688, 0.9621862269774956, 0.9622240227943553,
+ 0.9622617808333459, 0.9622995011322271, 0.9623371837287212,
+ 0.9623748286605127, 0.9624124359652485, 0.9624500056805375,
+ 0.9624875378439517, 0.9625250324930248, 0.9625624896652534,
+ 0.9625999093980967, 0.9626372917289762, 0.962674636695276,
+ 0.9627119443343432, 0.9627492146834871, 0.9627864477799798,
+ 0.9628236436610567, 0.962860802363915, 0.9628979239257157,
+ 0.9629350083835821, 0.9629720557746004, 0.9630090661358199,
+ 0.9630460395042529, 0.9630829759168746, 0.9631198754106232,
+ 0.9631567380224, 0.9631935637890695, 0.9632303527474594,
+ 0.9632671049343604, 0.9633038203865266, 0.9633404991406752,
+ 0.9633771412334868, 0.9634137467016054, 0.9634503155816384,
+ 0.9634868479101563, 0.9635233437236933, 0.963559803058747,
+ 0.9635962259517787, 0.9636326124392132, 0.9636689625574386,
+ 0.9637052763428069, 0.9637415538316336, 0.9637777950601983,
+ 0.9638140000647438, 0.9638501688814769, 0.9638863015465684,
+ 0.9639223980961527, 0.9639584585663281, 0.9639944829931569,
+ 0.9640304714126654, 0.9640664238608437, 0.9641023403736462,
+ 0.9641382209869911, 0.9641740657367608, 0.9642098746588019,
+ 0.9642456477889251, 0.9642813851629054, 0.9643170868164818,
+ 0.9643527527853578, 0.9643883831052014, 0.9644239778116442,
+ 0.9644595369402832, 0.964495060526679, 0.964530548606357,
+ 0.9645660012148072, 0.9646014183874839, 0.964636800159806,
+ 0.964672146567157, 0.9647074576448853, 0.9647427334283036,
+ 0.9647779739526894, 0.9648131792532851, 0.9648483493652977,
+ 0.964883484323899, 0.9649185841642259, 0.96495364892138,
+ 0.9649886786304276, 0.9650236733264003, 0.9650586330442945,
+ 0.9650935578190717, 0.9651284476856584, 0.9651633026789463,
+ 0.965198122833792, 0.9652329081850176, 0.9652676587674099,
+ 0.9653023746157215, 0.9653370557646699, 0.965371702248938,
+ 0.9654063141031739, 0.9654408913619912, 0.965475434059969,
+ 0.9655099422316518, 0.9655444159115493, 0.965578855134137,
+ 0.9656132599338558, 0.9656476303451124, 0.9656819664022788,
+ 0.9657162681396926, 0.9657505355916576, 0.9657847687924427,
+ 0.965818967776283, 0.965853132577379, 0.9658872632298974,
+ 0.9659213597679704, 0.9659554222256964, 0.9659894506371396,
+ 0.9660234450363299, 0.9660574054572635, 0.9660913319339025,
+ 0.9661252245001752, 0.9661590831899757, 0.9661929080371645,
+ 0.9662266990755681, 0.9662604563389793, 0.966294179861157,
+ 0.9663278696758262, 0.9663615258166788, 0.9663951483173723,
+ 0.966428737211531, 0.9664622925327455, 0.9664958143145729,
+ 0.9665293025905365, 0.9665627573941263, 0.9665961787587988,
+ 0.966629566717977, 0.9666629213050505, 0.9666962425533756,
+ 0.9667295304962753, 0.9667627851670392, 0.9667960065989235,
+ 0.9668291948251513, 0.9668623498789126, 0.9668954717933641,
+ 0.9669285606016293, 0.9669616163367988, 0.9669946390319298,
+ 0.9670276287200469, 0.9670605854341412, 0.9670935092071712,
+ 0.9671264000720622, 0.9671592580617068, 0.9671920832089647,
+ 0.9672248755466625, 0.9672576351075943, 0.9672903619245214,
+ 0.9673230560301721, 0.9673557174572422, 0.9673883462383949,
+ 0.9674209424062603, 0.9674535059934364, 0.9674860370324885,
+ 0.967518535555949, 0.9675510015963183, 0.967583435186064,
+ 0.9676158363576213, 0.967648205143393, 0.9676805415757495,
+ 0.9677128456870288, 0.9677451175095366, 0.9677773570755466,
+ 0.9678095644172997, 0.9678417395670049, 0.9678738825568391,
+ 0.9679059934189468, 0.9679380721854405, 0.9679701188884005,
+ 0.9680021335598752, 0.9680341162318808, 0.9680660669364016,
+ 0.9680979857053901, 0.9681298725707663, 0.9681617275644189,
+ 0.9681935507182045, 0.9682253420639476, 0.9682571016334415,
+ 0.9682888294584471, 0.9683205255706939, 0.9683521900018797,
+ 0.9683838227836703, 0.9684154239477002, 0.9684469935255722,
+ 0.9684785315488573, 0.9685100380490952, 0.968541513057794,
+ 0.9685729566064303, 0.9686043687264491, 0.9686357494492642,
+ 0.9686670988062578, 0.968698416828781, 0.9687297035481532,
+ 0.9687609589956628, 0.9687921832025668, 0.9688233762000908,
+ 0.9688545380194298, 0.9688856686917466, 0.968916768248174,
+ 0.9689478367198127, 0.9689788741377328, 0.9690098805329734,
+ 0.9690408559365423, 0.9690718003794166, 0.9691027138925423,
+ 0.9691335965068344, 0.969164448253177, 0.9691952691624235,
+ 0.9692260592653962, 0.9692568185928869, 0.9692875471756565,
+ 0.9693182450444349, 0.9693489122299217, 0.9693795487627855,
+ 0.9694101546736645, 0.9694407299931661, 0.9694712747518671,
+ 0.9695017889803138, 0.969532272709022, 0.9695627259684769,
+ 0.9695931487891333, 0.9696235412014156, 0.9696539032357177,
+ 0.9696842349224031, 0.9697145362918049, 0.9697448073742264,
+ 0.9697750481999398, 0.9698052587991876, 0.9698354392021818,
+ 0.9698655894391046, 0.9698957095401075, 0.969925799535312,
+ 0.9699558594548099, 0.9699858893286625, 0.9700158891869011,
+ 0.9700458590595271, 0.970075798976512, 0.970105708967797,
+ 0.9701355890632939, 0.9701654392928839, 0.970195259686419,
+ 0.970225050273721, 0.970254811084582, 0.9702845421487643,
+ 0.9703142434960004, 0.9703439151559932, 0.9703735571584158,
+ 0.9704031695329117, 0.9704327523090949, 0.9704623055165494,
+ 0.97049182918483, 0.970521323343462, 0.9705507880219407,
+ 0.9705802232497326, 0.9706096290562742, 0.9706390054709729,
+ 0.9706683525232065, 0.9706976702423235, 0.9707269586576431,
+ 0.9707562177984552, 0.9707854476940205, 0.9708146483735702,
+ 0.9708438198663066, 0.9708729622014026, 0.9709020754080019,
+ 0.9709311595152192, 0.9709602145521401, 0.9709892405478212,
+ 0.9710182375312897, 0.9710472055315442, 0.9710761445775542,
+ 0.97110505469826, 0.9711339359225735, 0.971162788279377,
+ 0.9711916117975244, 0.9712204065058408, 0.9712491724331224,
+ 0.9712779096081362, 0.9713066180596213, 0.9713352978162871,
+ 0.9713639489068152, 0.9713925713598579, 0.9714211652040392,
+ 0.9714497304679544, 0.9714782671801699, 0.9715067753692243,
+ 0.9715352550636268, 0.9715637062918587, 0.9715921290823728,
+ 0.9716205234635931, 0.9716488894639155, 0.9716772271117072,
+ 0.9717055364353077, 0.9717338174630274, 0.9717620702231489,
+ 0.9717902947439263, 0.9718184910535854, 0.9718466591803243,
+ 0.9718747991523122, 0.9719029109976907, 0.9719309947445728,
+ 0.9719590504210439, 0.9719870780551609, 0.972015077674953,
+ 0.9720430493084211, 0.9720709929835383, 0.9720989087282497,
+ 0.9721267965704723, 0.9721546565380955, 0.9721824886589806,
+ 0.9722102929609611, 0.9722380694718427, 0.9722658182194033,
+ 0.9722935392313931, 0.9723212325355344, 0.972348898159522,
+ 0.9723765361310227, 0.9724041464776761, 0.9724317292270939,
+ 0.97245928440686, 0.9724868120445312, 0.9725143121676365,
+ 0.9725417848036774, 0.9725692299801277, 0.9725966477244341,
+ 0.9726240380640159, 0.9726514010262645, 0.9726787366385443,
+ 0.9727060449281925, 0.9727333259225185, 0.9727605796488048,
+ 0.9727878061343064, 0.9728150054062513, 0.97284217749184,
+ 0.972869322418246, 0.9728964402126155, 0.9729235309020677,
+ 0.9729505945136948, 0.9729776310745616, 0.9730046406117061,
+ 0.9730316231521391, 0.9730585787228445, 0.9730855073507793,
+ 0.9731124090628733, 0.9731392838860299, 0.973166131847125,
+ 0.9731929529730079, 0.9732197472905011, 0.9732465148264003,
+ 0.9732732556074746, 0.9732999696604656, 0.9733266570120892,
+ 0.9733533176890338, 0.9733799517179614, 0.9734065591255076,
+ 0.9734331399382808, 0.9734596941828635, 0.973486221885811,
+ 0.9735127230736524, 0.9735391977728904, 0.9735656460100008,
+ 0.9735920678114333, 0.9736184632036109, 0.9736448322129304,
+ 0.973671174865762, 0.97369749118845, 0.9737237812073116,
+ 0.9737500449486385, 0.9737762824386956, 0.9738024937037217,
+ 0.9738286787699294, 0.973854837663505, 0.9738809704106088,
+ 0.9739070770373749, 0.9739331575699112, 0.9739592120342994,
+ 0.9739852404565954, 0.9740112428628289, 0.9740372192790037,
+ 0.9740631697310973, 0.9740890942450617, 0.9741149928468226,
+ 0.9741408655622797, 0.9741667124173073, 0.9741925334377536,
+ 0.9742183286494406, 0.974244098078165, 0.9742698417496974,
+ 0.974295559689783, 0.9743212519241409, 0.9743469184784644,
+ 0.9743725593784217, 0.9743981746496548, 0.9744237643177803,
+ 0.974449328408389, 0.9744748669470465, 0.9745003799592925,
+ 0.9745258674706414, 0.9745513295065817, 0.974576766092577,
+ 0.9746021772540651, 0.9746275630164584, 0.9746529234051439,
+ 0.9746782584454833, 0.9747035681628129, 0.9747288525824436,
+ 0.9747541117296613, 0.9747793456297262, 0.9748045543078736,
+ 0.9748297377893134, 0.9748548960992303, 0.9748800292627838,
+ 0.9749051373051085, 0.9749302202513137, 0.9749552781264835,
+ 0.974980310955677, 0.9750053187639284, 0.9750303015762467,
+ 0.9750552594176158, 0.9750801923129951, 0.9751051002873187,
+ 0.9751299833654956, 0.9751548415724102, 0.975179674932922,
+ 0.9752044834718657, 0.9752292672140509, 0.9752540261842627,
+ 0.9752787604072614, 0.9753034699077822, 0.9753281547105359,
+ 0.9753528148402087, 0.975377450321462, 0.9754020611789322,
+ 0.9754266474372317, 0.9754512091209478, 0.9754757462546435,
+ 0.9755002588628573, 0.9755247469701027, 0.9755492106008693,
+ 0.9755736497796219, 0.9755980645308009, 0.9756224548788222,
+ 0.9756468208480774, 0.9756711624629337, 0.9756954797477341,
+ 0.9757197727267968, 0.9757440414244162, 0.9757682858648621,
+ 0.9757925060723803, 0.9758167020711921, 0.9758408738854948,
+ 0.9758650215394612, 0.9758891450572404, 0.9759132444629572,
+ 0.975937319780712, 0.9759613710345814, 0.9759853982486177,
+ 0.9760094014468497, 0.9760333806532815, 0.9760573358918936,
+ 0.9760812671866423, 0.9761051745614603, 0.9761290580402561,
+ 0.9761529176469144, 0.9761767534052959, 0.9762005653392375,
+ 0.9762243534725525, 0.9762481178290303, 0.9762718584324361,
+ 0.9762955753065121, 0.9763192684749761, 0.9763429379615225,
+ 0.976366583789822, 0.9763902059835216, 0.9764138045662447,
+ 0.976437379561591, 0.9764609309931368, 0.9764844588844346,
+ 0.9765079632590135, 0.976531444140379, 0.9765549015520133,
+ 0.9765783355173748, 0.9766017460598988, 0.9766251332029969,
+ 0.9766484969700576, 0.9766718373844456, 0.9766951544695026,
+ 0.9767184482485469, 0.9767417187448734, 0.9767649659817537,
+ 0.9767881899824362, 0.9768113907701461, 0.9768345683680855,
+ 0.9768577227994328, 0.976880854087344, 0.9769039622549514,
+ 0.9769270473253642, 0.9769501093216687, 0.976973148266928,
+ 0.9769961641841823, 0.9770191570964487, 0.9770421270267212,
+ 0.9770650739979708, 0.9770879980331457, 0.9771108991551711,
+ 0.9771337773869494, 0.9771566327513597, 0.9771794652712585,
+ 0.9772022749694799, 0.9772250618688342, 0.9772478259921098,
+ 0.9772705673620717, 0.9772932860014627, 0.9773159819330024,
+ 0.9773386551793879, 0.9773613057632935, 0.9773839337073711,
+ 0.9774065390342496, 0.9774291217665356, 0.9774516819268129,
+ 0.9774742195376427, 0.977496734621564, 0.9775192272010926,
+ 0.9775416972987226, 0.9775641449369251, 0.9775865701381488,
+ 0.97760897292482, 0.9776313533193427, 0.9776537113440984,
+ 0.9776760470214462, 0.9776983603737229, 0.977720651423243,
+ 0.9777429201922987, 0.9777651667031598, 0.977787390978074,
+ 0.9778095930392666, 0.977831772908941, 0.9778539306092778,
+ 0.977876066162436, 0.9778981795905525, 0.9779202709157415,
+ 0.9779423401600955, 0.9779643873456849, 0.9779864124945581,
+ 0.9780084156287411, 0.9780303967702384, 0.978052355941032,
+ 0.9780742931630824, 0.9780962084583277, 0.9781181018486845,
+ 0.9781399733560472, 0.9781618230022883, 0.9781836508092586,
+ 0.9782054567987871, 0.9782272409926809, 0.9782490034127251,
+ 0.9782707440806833, 0.9782924630182973, 0.9783141602472871,
+ 0.978335835789351, 0.9783574896661656, 0.9783791218993859,
+ 0.9784007325106453, 0.9784223215215553, 0.9784438889537062,
+ 0.9784654348286663, 0.9784869591679828, 0.9785084619931809,
+ 0.9785299433257645, 0.9785514031872162, 0.9785728415989968,
+ 0.9785942585825458, 0.9786156541592813, 0.9786370283506,
+ 0.978658381177877, 0.9786797126624662, 0.9787010228257004,
+ 0.9787223116888905, 0.9787435792733267, 0.9787648256002774,
+ 0.9787860506909902, 0.9788072545666913, 0.9788284372485855,
+ 0.9788495987578565, 0.9788707391156669, 0.9788918583431582,
+ 0.9789129564614506, 0.9789340334916433, 0.9789550894548145,
+ 0.9789761243720211, 0.978997138264299, 0.9790181311526632,
+ 0.9790391030581078, 0.9790600540016056, 0.9790809840041086,
+ 0.9791018930865478, 0.9791227812698335, 0.9791436485748548,
+ 0.9791644950224802, 0.9791853206335569, 0.9792061254289117,
+ 0.9792269094293505, 0.9792476726556584, 0.9792684151285995,
+ 0.9792891368689174, 0.9793098378973348, 0.979330518234554,
+ 0.979351177901256, 0.9793718169181018, 0.9793924353057314,
+ 0.979413033084764, 0.9794336102757988, 0.9794541668994137,
+ 0.9794747029761663, 0.979495218526594, 0.9795157135712134,
+ 0.9795361881305202, 0.9795566422249903, 0.9795770758750786,
+ 0.97959748910122, 0.9796178819238286, 0.9796382543632982,
+ 0.9796586064400025, 0.9796789381742943, 0.9796992495865066,
+ 0.9797195406969517, 0.9797398115259216, 0.9797600620936885,
+ 0.9797802924205036, 0.9798005025265984, 0.9798206924321842,
+ 0.9798408621574517, 0.9798610117225717, 0.9798811411476946,
+ 0.9799012504529511, 0.9799213396584514, 0.9799414087842857,
+ 0.9799614578505241, 0.9799814868772169, 0.9800014958843938,
+ 0.980021484892065, 0.9800414539202204, 0.98006140298883,
+ 0.9800813321178442, 0.9801012413271928, 0.980121130636786,
+ 0.9801410000665143, 0.9801608496362479, 0.9801806793658376,
+ 0.980200489275114, 0.980220279383888, 0.9802400497119508,
+ 0.9802598002790734, 0.9802795311050079, 0.9802992422094856,
+ 0.9803189336122188, 0.9803386053328998, 0.9803582573912015,
+ 0.9803778898067769, 0.9803975025992593, 0.9804170957882624,
+ 0.9804366693933806, 0.9804562234341883, 0.9804757579302406,
+ 0.9804952729010729, 0.9805147683662011, 0.9805342443451219,
+ 0.9805537008573121, 0.9805731379222291, 0.9805925555593111,
+ 0.9806119537879766, 0.9806313326276249, 0.9806506920976357,
+ 0.9806700322173695, 0.9806893530061673, 0.980708654483351,
+ 0.9807279366682229, 0.9807471995800663, 0.980766443238145,
+ 0.9807856676617036, 0.9808048728699674, 0.9808240588821429,
+ 0.9808432257174167, 0.9808623733949567, 0.9808815019339117,
+ 0.980900611353411, 0.9809197016725651, 0.9809387729104653,
+ 0.9809578250861836, 0.9809768582187732, 0.9809958723272685,
+ 0.9810148674306841, 0.9810338435480163, 0.9810528006982421,
+ 0.9810717389003196, 0.9810906581731881, 0.9811095585357675,
+ 0.9811284400069595, 0.9811473026056462, 0.9811661463506913,
+ 0.9811849712609395, 0.9812037773552166, 0.9812225646523296,
+ 0.9812413331710668, 0.9812600829301976, 0.9812788139484727,
+ 0.9812975262446242, 0.9813162198373652, 0.9813348947453903,
+ 0.9813535509873752, 0.9813721885819772, 0.9813908075478348,
+ 0.981409407903568, 0.9814279896677779, 0.9814465528590472,
+ 0.9814650974959402, 0.9814836235970025, 0.9815021311807608,
+ 0.981520620265724, 0.9815390908703817, 0.9815575430132057,
+ 0.9815759767126492, 0.9815943919871465, 0.9816127888551139,
+ 0.9816311673349494, 0.981649527445032, 0.9816678692037231,
+ 0.9816861926293652, 0.9817044977402827, 0.9817227845547816,
+ 0.9817410530911496, 0.9817593033676563, 0.9817775354025526,
+ 0.9817957492140718, 0.9818139448204283, 0.9818321222398189,
+ 0.9818502814904216, 0.981868422590397, 0.9818865455578868,
+ 0.9819046504110148, 0.981922737167887, 0.981940805846591,
+ 0.9819588564651963, 0.9819768890417545, 0.9819949035942991,
+ 0.9820129001408454, 0.982030878699391, 0.9820488392879153,
+ 0.9820667819243798, 0.9820847066267281, 0.9821026134128856,
+ 0.9821205023007602, 0.9821383733082416, 0.9821562264532018,
+ 0.9821740617534945, 0.9821918792269564, 0.9822096788914054,
+ 0.9822274607646424, 0.98224522486445, 0.9822629712085932,
+ 0.9822806998148191, 0.9822984107008575, 0.98231610388442,
+ 0.9823337793832007, 0.9823514372148759, 0.9823690773971044,
+ 0.9823866999475273, 0.982404304883768, 0.9824218922234321,
+ 0.9824394619841083, 0.9824570141833667, 0.9824745488387608,
+ 0.982492065967826, 0.9825095655880802, 0.9825270477170239,
+ 0.9825445123721404, 0.9825619595708949, 0.9825793893307355,
+ 0.9825968016690929, 0.9826141966033805, 0.9826315741509938,
+ 0.9826489343293114, 0.9826662771556943, 0.9826836026474861,
+ 0.9827009108220134, 0.982718201696585, 0.9827354752884928,
+ 0.9827527316150111, 0.9827699706933972, 0.9827871925408911,
+ 0.9828043971747153, 0.9828215846120756, 0.98283875487016,
+ 0.9828559079661399, 0.9828730439171689, 0.9828901627403841,
+ 0.9829072644529051, 0.9829243490718345, 0.9829414166142576,
+ 0.9829584670972431, 0.982975500537842, 0.9829925169530889,
+ 0.9830095163600009, 0.9830264987755782, 0.9830434642168042,
+ 0.9830604127006453, 0.9830773442440505, 0.9830942588639524,
+ 0.9831111565772664, 0.9831280374008912, 0.9831449013517083,
+ 0.9831617484465826, 0.9831785787023619, 0.9831953921358775,
+ 0.9832121887639435, 0.9832289686033575, 0.9832457316709001,
+ 0.9832624779833352, 0.98327920755741, 0.9832959204098549,
+ 0.9833126165573836, 0.983329296016693, 0.9833459588044636,
+ 0.9833626049373588, 0.9833792344320257, 0.9833958473050944,
+ 0.9834124435731789, 0.9834290232528763, 0.9834455863607668,
+ 0.9834621329134147, 0.9834786629273671, 0.983495176419155,
+ 0.9835116734052926, 0.9835281539022778, 0.983544617926592,
+ 0.9835610654946999, 0.9835774966230499, 0.983593911328074,
+ 0.9836103096261878, 0.9836266915337903, 0.9836430570672643,
+ 0.9836594062429761, 0.9836757390772757, 0.9836920555864969,
+ 0.9837083557869567, 0.9837246396949564, 0.9837409073267807,
+ 0.983757158698698, 0.9837733938269604, 0.9837896127278039,
+ 0.9838058154174483, 0.9838220019120969, 0.9838381722279372,
+ 0.9838543263811403, 0.9838704643878611, 0.9838865862642384,
+ 0.983902692026395, 0.9839187816904373, 0.9839348552724559,
+ 0.9839509127885252, 0.9839669542547035, 0.9839829796870329,
+ 0.9839989891015398, 0.9840149825142345, 0.9840309599411109,
+ 0.9840469213981475, 0.9840628669013066, 0.9840787964665343,
+ 0.9840947101097611, 0.9841106078469013, 0.9841264896938536,
+ 0.9841423556665005, 0.9841582057807089, 0.9841740400523297,
+ 0.9841898584971978, 0.9842056611311325, 0.9842214479699374,
+ 0.9842372190293999, 0.984252974325292, 0.9842687138733697,
+ 0.9842844376893733, 0.9843001457890276, 0.9843158381880414,
+ 0.9843315149021077, 0.9843471759469041, 0.9843628213380926,
+ 0.9843784510913193, 0.9843940652222145, 0.9844096637463934,
+ 0.9844252466794552, 0.9844408140369836, 0.9844563658345468,
+ 0.9844719020876973, 0.9844874228119721, 0.9845029280228929,
+ 0.9845184177359654, 0.9845338919666803, 0.9845493507305125,
+ 0.9845647940429216, 0.9845802219193517, 0.9845956343752315,
+ 0.984611031425974, 0.9846264130869772, 0.9846417793736235,
+ 0.98465713030128, 0.9846724658852982, 0.9846877861410148,
+ 0.9847030910837505, 0.9847183807288112, 0.9847336550914872,
+ 0.9847489141870537, 0.9847641580307706, 0.9847793866378823,
+ 0.9847946000236184, 0.9848097982031929, 0.9848249811918048,
+ 0.9848401490046379, 0.9848553016568607, 0.9848704391636267,
+ 0.984885561540074, 0.9849006688013259, 0.9849157609624903,
+ 0.9849308380386602, 0.9849459000449133, 0.9849609469963125,
+ 0.9849759789079056, 0.9849909957947249, 0.9850059976717884,
+ 0.9850209845540986, 0.9850359564566431, 0.9850509133943947,
+ 0.9850658553823107, 0.9850807824353344, 0.9850956945683931,
+ 0.9851105917963999, 0.9851254741342528, 0.9851403415968348,
+ 0.9851551941990142, 0.9851700319556443, 0.9851848548815636,
+ 0.9851996629915957, 0.9852144563005495, 0.9852292348232191,
+ 0.9852439985743838, 0.9852587475688079, 0.9852734818212413,
+ 0.9852882013464189, 0.9853029061590611, 0.9853175962738733,
+ 0.9853322717055464, 0.9853469324687566, 0.9853615785781653,
+ 0.9853762100484195, 0.9853908268941513, 0.9854054291299782,
+ 0.9854200167705033, 0.985434589830315, 0.9854491483239869,
+ 0.9854636922660783, 0.9854782216711341, 0.9854927365536841,
+ 0.9855072369282442, 0.9855217228093152, 0.9855361942113839,
+ 0.9855506511489224, 0.9855650936363883, 0.9855795216882249,
+ 0.9855939353188611, 0.9856083345427109, 0.9856227193741744,
+ 0.9856370898276373, 0.9856514459174707, 0.9856657876580313,
+ 0.9856801150636616, 0.9856944281486897, 0.9857087269274295,
+ 0.9857230114141805, 0.9857372816232278, 0.9857515375688424,
+ 0.9857657792652809, 0.9857800067267858, 0.9857942199675851,
+ 0.985808419001893, 0.985822603843909, 0.9858367745078188,
+ 0.9858509310077938, 0.9858650733579911, 0.9858792015725538,
+ 0.9858933156656108, 0.985907415651277, 0.985921501543653,
+ 0.9859355733568254, 0.9859496311048668, 0.9859636748018354,
+ 0.985977704461776, 0.9859917200987187, 0.9860057217266799,
+ 0.9860197093596619, 0.986033683011653, 0.9860476426966276,
+ 0.9860615884285462, 0.986075520221355, 0.9860894380889866,
+ 0.9861033420453598, 0.9861172321043788, 0.9861311082799347,
+ 0.9861449705859042, 0.9861588190361503, 0.9861726536445223,
+ 0.9861864744248554, 0.9862002813909709, 0.9862140745566769,
+ 0.9862278539357668, 0.9862416195420209, 0.9862553713892055,
+ 0.9862691094910729, 0.9862828338613623, 0.9862965445137984,
+ 0.9863102414620928, 0.9863239247199429, 0.9863375943010327,
+ 0.9863512502190327, 0.9863648924875992, 0.9863785211203753,
+ 0.9863921361309902, 0.9864057375330597, 0.986419325340186,
+ 0.9864328995659574, 0.9864464602239488, 0.9864600073277215,
+ 0.9864735408908235, 0.986487060926789, 0.9865005674491385,
+ 0.9865140604713794, 0.9865275400070052, 0.9865410060694964,
+ 0.9865544586723194, 0.9865678978289277, 0.9865813235527612,
+ 0.986594735857246, 0.9866081347557953, 0.9866215202618087,
+ 0.9866348923886723, 0.9866482511497588, 0.9866615965584278,
+ 0.9866749286280253, 0.986688247371884, 0.9867015528033234,
+ 0.9867148449356495, 0.9867281237821551, 0.9867413893561199,
+ 0.98675464167081, 0.9867678807394782, 0.9867811065753644,
+ 0.9867943191916952, 0.9868075186016838, 0.9868207048185303,
+ 0.9868338778554214, 0.9868470377255311, 0.9868601844420196,
+ 0.9868733180180345, 0.98688643846671, 0.986899545801167,
+ 0.9869126400345138, 0.9869257211798451, 0.9869387892502428,
+ 0.9869518442587756, 0.9869648862184991, 0.9869779151424559,
+ 0.9869909310436757, 0.987003933935175, 0.9870169238299573,
+ 0.9870299007410132, 0.9870428646813201, 0.9870558156638428,
+ 0.9870687537015329, 0.987081678807329, 0.9870945909941569,
+ 0.9871074902749294, 0.9871203766625465, 0.9871332501698951,
+ 0.9871461108098495, 0.9871589585952708, 0.9871717935390077,
+ 0.9871846156538956, 0.9871974249527573, 0.9872102214484026,
+ 0.9872230051536289, 0.9872357760812205, 0.9872485342439488,
+ 0.9872612796545726, 0.9872740123258381, 0.9872867322704785,
+ 0.9872994395012145, 0.9873121340307538, 0.9873248158717918,
+ 0.9873374850370107, 0.9873501415390804, 0.9873627853906581,
+ 0.9873754166043884, 0.9873880351929029, 0.9874006411688209,
+ 0.987413234544749, 0.9874258153332813, 0.9874383835469991,
+ 0.9874509391984714, 0.9874634823002543, 0.9874760128648915,
+ 0.9874885309049144, 0.9875010364328416, 0.9875135294611792,
+ 0.9875260100024209, 0.9875384780690477, 0.9875509336735286,
+ 0.9875633768283196, 0.9875758075458645, 0.9875882258385947,
+ 0.9876006317189291, 0.9876130251992742, 0.9876254062920241,
+ 0.9876377750095605, 0.9876501313642527, 0.9876624753684577,
+ 0.9876748070345203, 0.9876871263747725, 0.9876994334015344,
+ 0.9877117281271136, 0.9877240105638055, 0.9877362807238932,
+ 0.9877485386196473, 0.9877607842633264, 0.9877730176671767,
+ 0.9877852388434324, 0.9877974478043151, 0.9878096445620345,
+ 0.9878218291287878, 0.9878340015167603, 0.987846161738125,
+ 0.9878583098050427, 0.9878704457296622, 0.9878825695241198,
+ 0.98789468120054, 0.9879067807710352, 0.9879188682477055,
+ 0.9879309436426388, 0.9879430069679114, 0.987955058235587,
+ 0.9879670974577176, 0.987979124646343, 0.987991139813491,
+ 0.9880031429711773, 0.9880151341314057, 0.988027113306168,
+ 0.9880390805074439, 0.9880510357472013, 0.988062979037396,
+ 0.9880749103899719, 0.9880868298168608, 0.9880987373299829,
+ 0.9881106329412462, 0.988122516662547, 0.9881343885057696,
+ 0.9881462484827863, 0.988158096605458, 0.988169932885633,
+ 0.9881817573351485, 0.9881935699658293, 0.9882053707894889,
+ 0.9882171598179285, 0.9882289370629377, 0.9882407025362944,
+ 0.9882524562497647, 0.9882641982151028, 0.9882759284440514,
+ 0.9882876469483413, 0.9882993537396915, 0.9883110488298094,
+ 0.9883227322303907, 0.9883344039531193, 0.9883460640096676,
+ 0.9883577124116962, 0.9883693491708542, 0.9883809742987788,
+ 0.9883925878070957, 0.9884041897074192, 0.9884157800113514,
+ 0.9884273587304836, 0.9884389258763949, 0.988450481460653,
+ 0.9884620254948141, 0.9884735579904228, 0.9884850789590122,
+ 0.9884965884121037, 0.9885080863612077, 0.9885195728178223,
+ 0.9885310477934348, 0.9885425112995208, 0.988553963347544,
+ 0.9885654039489574, 0.9885768331152021, 0.9885882508577076,
+ 0.9885996571878926, 0.9886110521171636, 0.9886224356569164,
+ 0.988633807818535, 0.9886451686133921, 0.9886565180528493,
+ 0.9886678561482563, 0.9886791829109518, 0.9886904983522632,
+ 0.9887018024835066, 0.9887130953159865, 0.9887243768609966,
+ 0.9887356471298187, 0.9887469061337236, 0.9887581538839713,
+ 0.9887693903918097, 0.988780615668476, 0.988791829725196,
+ 0.9888030325731845, 0.9888142242236446, 0.9888254046877688,
+ 0.988836573976738, 0.9888477321017219, 0.9888588790738796,
+ 0.9888700149043582, 0.9888811396042942, 0.9888922531848131,
+ 0.9889033556570287, 0.9889144470320442, 0.9889255273209516,
+ 0.9889365965348316, 0.988947654684754, 0.9889587017817776,
+ 0.9889697378369499, 0.9889807628613076, 0.9889917768658762,
+ 0.9890027798616704, 0.9890137718596937, 0.9890247528709386,
+ 0.9890357229063866, 0.9890466819770084, 0.9890576300937636,
+ 0.9890685672676007, 0.9890794935094577, 0.9890904088302612,
+ 0.9891013132409272, 0.9891122067523606, 0.9891230893754552,
+ 0.9891339611210946, 0.9891448220001509, 0.9891556720234855,
+ 0.989166511201949, 0.989177339546381, 0.9891881570676105,
+ 0.9891989637764557, 0.9892097596837236, 0.9892205448002107,
+ 0.9892313191367028, 0.9892420827039746, 0.9892528355127904,
+ 0.9892635775739034, 0.9892743088980562, 0.9892850294959807,
+ 0.9892957393783981, 0.9893064385560187, 0.9893171270395423,
+ 0.9893278048396579, 0.9893384719670437, 0.9893491284323677,
+ 0.9893597742462864, 0.9893704094194467, 0.9893810339624839,
+ 0.9893916478860232, 0.989402251200679, 0.9894128439170553,
+ 0.9894234260457453, 0.9894339975973315, 0.9894445585823862,
+ 0.9894551090114708, 0.9894656488951362, 0.989476178243923,
+ 0.9894866970683608, 0.9894972053789692, 0.9895077031862569,
+ 0.9895181905007223, 0.9895286673328533, 0.9895391336931271,
+ 0.9895495895920107, 0.9895600350399604, 0.9895704700474223,
+ 0.9895808946248319, 0.9895913087826141, 0.989601712531184,
+ 0.9896121058809455, 0.9896224888422926, 0.9896328614256089,
+ 0.9896432236412673, 0.9896535754996306, 0.9896639170110513,
+ 0.9896742481858712, 0.9896845690344223, 0.9896948795670256,
+ 0.9897051797939924, 0.9897154697256234, 0.9897257493722089,
+ 0.9897360187440293, 0.9897462778513544, 0.9897565267044437,
+ 0.9897667653135467, 0.9897769936889025, 0.9897872118407399,
+ 0.9897974197792777, 0.9898076175147242, 0.9898178050572778,
+ 0.9898279824171264, 0.989838149604448, 0.9898483066294104,
+ 0.9898584535021707, 0.9898685902328768, 0.9898787168316655,
+ 0.9898888333086643, 0.9898989396739899, 0.9899090359377491,
+ 0.9899191221100391, 0.9899291982009462, 0.989939264220547,
+ 0.9899493201789082, 0.9899593660860863, 0.9899694019521275,
+ 0.9899794277870683, 0.9899894436009349, 0.9899994494037438,
+ 0.9900094452055012, 0.9900194310162035, 0.9900294068458368,
+ 0.9900393727043777, 0.9900493286017924, 0.9900592745480372,
+ 0.9900692105530589, 0.9900791366267935, 0.990089052779168,
+ 0.9900989590200988, 0.9901088553594928, 0.9901187418072468,
+ 0.9901286183732476, 0.9901384850673723, 0.9901483418994883,
+ 0.9901581888794527, 0.9901680260171132, 0.9901778533223071,
+ 0.9901876708048625, 0.9901974784745972, 0.9902072763413193,
+ 0.9902170644148274, 0.9902268427049099, 0.9902366112213457,
+ 0.9902463699739036, 0.990256118972343, 0.9902658582264133,
+ 0.9902755877458543, 0.9902853075403961, 0.9902950176197588,
+ 0.990304717993653, 0.9903144086717797, 0.9903240896638299,
+ 0.9903337609794852, 0.9903434226284173, 0.9903530746202884,
+ 0.990362716964751, 0.9903723496714477, 0.990381972750012,
+ 0.9903915862100674, 0.9904011900612276, 0.9904107843130973,
+ 0.9904203689752709, 0.9904299440573336, 0.9904395095688613,
+ 0.9904490655194195, 0.990458611918565, 0.9904681487758444,
+ 0.9904776761007953, 0.9904871939029453, 0.9904967021918127,
+ 0.9905062009769064, 0.9905156902677256, 0.99052517007376,
+ 0.9905346404044899, 0.9905441012693862, 0.9905535526779101,
+ 0.9905629946395136, 0.990572427163639, 0.9905818502597195,
+ 0.9905912639371784, 0.9906006682054301, 0.9906100630738793,
+ 0.9906194485519212, 0.9906288246489419, 0.9906381913743177,
+ 0.9906475487374162, 0.9906568967475949, 0.9906662354142024,
+ 0.9906755647465779, 0.990684884754051, 0.9906941954459425,
+ 0.9907034968315632, 0.9907127889202152, 0.990722071721191,
+ 0.9907313452437737, 0.9907406094972375, 0.990749864490847,
+ 0.9907591102338578, 0.9907683467355158, 0.9907775740050584,
+ 0.9907867920517129, 0.9907960008846981, 0.9908052005132233,
+ 0.9908143909464884, 0.9908235721936843, 0.9908327442639928,
+ 0.9908419071665866, 0.9908510609106287, 0.9908602055052735,
+ 0.9908693409596662, 0.9908784672829424, 0.990887584484229,
+ 0.9908966925726438, 0.9909057915572952, 0.9909148814472826,
+ 0.9909239622516964, 0.9909330339796181, 0.9909420966401195,
+ 0.9909511502422638, 0.9909601947951052, 0.9909692303076887,
+ 0.99097825678905, 0.9909872742482164, 0.9909962826942057,
+ 0.9910052821360267, 0.9910142725826793, 0.9910232540431544,
+ 0.9910322265264339, 0.9910411900414908, 0.9910501445972891,
+ 0.9910590902027837, 0.9910680268669207, 0.9910769545986372,
+ 0.9910858734068615, 0.9910947833005126, 0.991103684288501,
+ 0.9911125763797282, 0.9911214595830866, 0.9911303339074599,
+ 0.9911391993617228, 0.9911480559547413, 0.9911569036953725,
+ 0.9911657425924644, 0.9911745726548564, 0.9911833938913791,
+ 0.991192206310854, 0.9912010099220943, 0.9912098047339036,
+ 0.9912185907550775, 0.9912273679944023, 0.9912361364606557,
+ 0.9912448961626066, 0.9912536471090152, 0.9912623893086328,
+ 0.9912711227702021, 0.991279847502457, 0.9912885635141226,
+ 0.9912972708139155, 0.9913059694105433, 0.991314659312705,
+ 0.9913233405290911, 0.9913320130683831, 0.9913406769392541,
+ 0.9913493321503682, 0.9913579787103813, 0.9913666166279402,
+ 0.9913752459116834, 0.9913838665702405, 0.9913924786122327,
+ 0.9914010820462722, 0.9914096768809633, 0.9914182631249009,
+ 0.9914268407866718, 0.9914354098748541, 0.9914439703980173,
+ 0.9914525223647225, 0.9914610657835219, 0.9914696006629594,
+ 0.9914781270115702, 0.9914866448378814, 0.9914951541504109,
+ 0.9915036549576687, 0.9915121472681557, 0.991520631090365,
+ 0.9915291064327808, 0.9915375733038786, 0.991546031712126,
+ 0.9915544816659816, 0.9915629231738958, 0.9915713562443107,
+ 0.9915797808856597, 0.9915881971063678, 0.9915966049148518,
+ 0.9916050043195197, 0.9916133953287716, 0.9916217779509986,
+ 0.9916301521945841, 0.9916385180679025, 0.9916468755793202,
+ 0.9916552247371951, 0.9916635655498768, 0.9916718980257065,
+ 0.9916802221730171, 0.9916885380001332, 0.9916968455153711,
+ 0.9917051447270385, 0.9917134356434353, 0.9917217182728526,
+ 0.9917299926235736, 0.991738258703873, 0.9917465165220174,
+ 0.9917547660862649, 0.9917630074048654, 0.9917712404860609,
+ 0.9917794653380847, 0.9917876819691621, 0.9917958903875103,
+ 0.9918040906013378, 0.9918122826188455, 0.9918204664482256,
+ 0.9918286420976626, 0.9918368095753324, 0.991844968889403,
+ 0.9918531200480339, 0.9918612630593768, 0.9918693979315752,
+ 0.9918775246727644, 0.9918856432910714, 0.9918937537946152,
+ 0.9919018561915068, 0.9919099504898491, 0.9919180366977367,
+ 0.9919261148232561, 0.991934184874486, 0.9919422468594967,
+ 0.9919503007863508, 0.9919583466631026, 0.9919663844977981,
+ 0.9919744142984758, 0.9919824360731658, 0.9919904498298904,
+ 0.9919984555766637, 0.9920064533214917, 0.9920144430723727,
+ 0.9920224248372969, 0.9920303986242462, 0.9920383644411951,
+ 0.9920463222961097, 0.9920542721969482, 0.9920622141516608,
+ 0.9920701481681902, 0.9920780742544705, 0.9920859924184282,
+ 0.992093902667982, 0.9921018050110426, 0.9921096994555125,
+ 0.9921175860092868, 0.9921254646802522, 0.9921333354762879,
+ 0.9921411984052652, 0.9921490534750471, 0.9921569006934893,
+ 0.9921647400684395, 0.9921725716077372, 0.9921803953192145,
+ 0.9921882112106954, 0.9921960192899965, 0.9922038195649258,
+ 0.9922116120432842, 0.9922193967328647, 0.9922271736414522,
+ 0.992234942776824, 0.9922427041467496, 0.9922504577589909,
+ 0.9922582036213018, 0.9922659417414286, 0.9922736721271098,
+ 0.9922813947860761, 0.9922891097260506, 0.9922968169547486,
+ 0.9923045164798778, 0.992312208309138, 0.9923198924502215,
+ 0.9923275689108128, 0.9923352376985887, 0.9923428988212184,
+ 0.9923505522863635, 0.9923581981016776, 0.9923658362748072,
+ 0.9923734668133907, 0.992381089725059, 0.9923887050174354,
+ 0.9923963126981357, 0.9924039127747678, 0.9924115052549322,
+ 0.9924190901462218, 0.9924266674562219, 0.9924342371925101,
+ 0.9924417993626565, 0.9924493539742238, 0.9924569010347669,
+ 0.9924644405518332, 0.9924719725329627, 0.9924794969856876,
+ 0.9924870139175329, 0.9924945233360157, 0.9925020252486461,
+ 0.9925095196629261, 0.9925170065863507, 0.992524486026407,
+ 0.9925319579905749, 0.9925394224863268, 0.9925468795211275,
+ 0.9925543291024345, 0.9925617712376975, 0.9925692059343594,
+ 0.9925766331998549, 0.9925840530416119, 0.9925914654670505,
+ 0.9925988704835835, 0.9926062680986163, 0.9926136583195468,
+ 0.9926210411537658, 0.9926284166086563, 0.9926357846915943,
+ 0.992643145409948, 0.9926504987710788, 0.9926578447823401,
+ 0.9926651834510786, 0.9926725147846331, 0.9926798387903354,
+ 0.9926871554755099, 0.9926944648474736, 0.9927017669135362,
+ 0.9927090616810001, 0.9927163491571607, 0.9927236293493056,
+ 0.9927309022647154, 0.9927381679106634, 0.9927454262944155,
+ 0.9927526774232306, 0.9927599213043602, 0.9927671579450484,
+ 0.9927743873525323, 0.9927816095340417, 0.9927888244967992,
+ 0.9927960322480198, 0.992803232794912, 0.9928104261446765,
+ 0.992817612304507, 0.9928247912815902, 0.9928319630831052,
+ 0.9928391277162243, 0.9928462851881125, 0.9928534355059275,
+ 0.9928605786768201, 0.9928677147079338, 0.992874843606405,
+ 0.9928819653793629, 0.9928890800339297, 0.9928961875772204,
+ 0.992903288016343, 0.992910381358398, 0.9929174676104794,
+ 0.9929245467796736, 0.9929316188730601, 0.9929386838977117,
+ 0.9929457418606933, 0.9929527927690636, 0.9929598366298736,
+ 0.9929668734501677, 0.992973903236983, 0.9929809259973496,
+ 0.9929879417382905, 0.9929949504668222, 0.9930019521899534,
+ 0.9930089469146862, 0.9930159346480159, 0.9930229153969304,
+ 0.9930298891684108, 0.9930368559694314, 0.9930438158069591,
+ 0.9930507686879543, 0.9930577146193701, 0.9930646536081528,
+ 0.9930715856612417, 0.9930785107855693, 0.993085428988061,
+ 0.9930923402756354, 0.993099244655204, 0.9931061421336718,
+ 0.9931130327179364, 0.9931199164148887, 0.993126793231413,
+ 0.9931336631743861, 0.9931405262506785, 0.9931473824671536,
+ 0.993154231830668, 0.9931610743480713, 0.9931679100262065,
+ 0.9931747388719095, 0.9931815608920096, 0.993188376093329,
+ 0.9931951844826833, 0.9932019860668814, 0.9932087808527249,
+ 0.9932155688470092, 0.9932223500565226, 0.9932291244880466,
+ 0.9932358921483558, 0.9932426530442185, 0.9932494071823958,
+ 0.9932561545696422, 0.9932628952127054, 0.9932696291183263,
+ 0.9932763562932393, 0.9932830767441718, 0.9932897904778447,
+ 0.9932964975009719, 0.9933031978202609, 0.9933098914424123,
+ 0.99331657837412, 0.9933232586220715, 0.9933299321929471,
+ 0.9933365990934209, 0.9933432593301599, 0.9933499129098249,
+ 0.9933565598390698, 0.9933632001245417, 0.9933698337728815,
+ 0.9933764607907228, 0.9933830811846932, 0.9933896949614135,
+ 0.9933963021274975, 0.993402902689553, 0.9934094966541808,
+ 0.993416084027975, 0.9934226648175236, 0.9934292390294076,
+ 0.9934358066702015, 0.9934423677464733, 0.9934489222647844,
+ 0.9934554702316897, 0.9934620116537374, 0.9934685465374693,
+ 0.9934750748894206, 0.9934815967161199, 0.9934881120240896,
+ 0.9934946208198451, 0.9935011231098956, 0.9935076189007438,
+ 0.9935141081988856, 0.9935205910108108, 0.9935270673430024,
+ 0.9935335372019374, 0.9935400005940855, 0.9935464575259106,
+ 0.9935529080038702, 0.9935593520344148, 0.9935657896239889,
+ 0.9935722207790303, 0.9935786455059705, 0.9935850638112347,
+ 0.9935914757012414, 0.9935978811824028, 0.9936042802611247,
+ 0.9936106729438066, 0.9936170592368414, 0.9936234391466158,
+ 0.9936298126795099, 0.9936361798418976, 0.9936425406401465,
+ 0.9936488950806175, 0.9936552431696656, 0.9936615849136391,
+ 0.99366792031888, 0.993674249391724, 0.9936805721385007,
+ 0.993686888565533, 0.9936931986791376, 0.9936995024856251,
+ 0.9937057999912995, 0.9937120912024585, 0.9937183761253939,
+ 0.9937246547663908, 0.9937309271317282, 0.9937371932276787,
+ 0.9937434530605088, 0.9937497066364785, 0.9937559539618419,
+ 0.9937621950428465, 0.9937684298857337, 0.9937746584967386,
+ 0.9937808808820903, 0.9937870970480114, 0.9937933070007183,
+ 0.9937995107464214, 0.9938057082913246, 0.993811899641626,
+ 0.9938180848035171, 0.9938242637831832, 0.9938304365868039,
+ 0.9938366032205522, 0.993842763690595, 0.993848918003093,
+ 0.9938550661642012, 0.9938612081800675, 0.9938673440568346,
+ 0.9938734738006387, 0.9938795974176097, 0.9938857149138716,
+ 0.9938918262955421, 0.993897931568733, 0.9939040307395498,
+ 0.9939101238140922, 0.9939162107984532, 0.9939222916987204,
+ 0.9939283665209748, 0.9939344352712917, 0.99394049795574,
+ 0.9939465545803828, 0.9939526051512771, 0.9939586496744736,
+ 0.9939646881560171, 0.9939707206019466, 0.9939767470182946,
+ 0.993982767411088, 0.9939887817863475, 0.9939947901500877,
+ 0.9940007925083173, 0.9940067888670389, 0.9940127792322491,
+ 0.9940187636099388, 0.9940247420060925, 0.9940307144266889,
+ 0.9940366808777007, 0.9940426413650948, 0.9940485958948319,
+ 0.9940545444728667, 0.9940604871051483, 0.9940664237976194,
+ 0.9940723545562172, 0.9940782793868728, 0.994084198295511,
+ 0.9940901112880512, 0.9940960183704068, 0.994101919548485,
+ 0.9941078148281874, 0.9941137042154096, 0.994119587716041,
+ 0.9941254653359657, 0.9941313370810615, 0.9941372029572004,
+ 0.9941430629702487, 0.9941489171260666, 0.9941547654305085,
+ 0.9941606078894232, 0.9941664445086532, 0.9941722752940355,
+ 0.9941781002514013, 0.9941839193865758, 0.9941897327053784,
+ 0.9941955402136226, 0.9942013419171163, 0.9942071378216615,
+ 0.9942129279330544, 0.9942187122570855, 0.9942244907995391,
+ 0.9942302635661944, 0.9942360305628242, 0.9942417917951958,
+ 0.9942475472690709, 0.9942532969902051, 0.9942590409643486,
+ 0.9942647791972453, 0.9942705116946341, 0.9942762384622477,
+ 0.994281959505813, 0.9942876748310514, 0.9942933844436785,
+ 0.9942990883494043, 0.9943047865539328, 0.9943104790629628,
+ 0.9943161658821867, 0.9943218470172919, 0.9943275224739597,
+ 0.994333192257866, 0.9943388563746806, 0.994344514830068,
+ 0.9943501676296871, 0.9943558147791908, 0.9943614562842266,
+ 0.9943670921504362, 0.9943727223834559, 0.9943783469889161,
+ 0.9943839659724417, 0.9943895793396521, 0.9943951870961607,
+ 0.9944007892475758, 0.9944063857994997, 0.9944119767575292,
+ 0.9944175621272556, 0.9944231419142645, 0.9944287161241361,
+ 0.9944342847624447, 0.9944398478347592, 0.9944454053466432,
+ 0.9944509573036543, 0.9944565037113448, 0.9944620445752613,
+ 0.994467579900945, 0.9944731096939317, 0.9944786339597511,
+ 0.9944841527039279, 0.9944896659319812, 0.9944951736494245,
+ 0.9945006758617656, 0.9945061725745072, 0.9945116637931463,
+ 0.9945171495231743, 0.9945226297700771, 0.9945281045393354,
+ 0.9945335738364242, 0.994539037666813, 0.9945444960359658,
+ 0.9945499489493417, 0.9945553964123934, 0.9945608384305689,
+ 0.9945662750093103, 0.9945717061540547, 0.9945771318702332,
+ 0.9945825521632722, 0.9945879670385919, 0.9945933765016075,
+ 0.9945987805577289, 0.9946041792123603, 0.9946095724709006,
+ 0.9946149603387435, 0.9946203428212771, 0.9946257199238839,
+ 0.9946310916519416, 0.994636458010822, 0.9946418190058918,
+ 0.9946471746425122, 0.9946525249260391, 0.9946578698618231,
+ 0.9946632094552095, 0.994668543711538, 0.9946738726361432,
+ 0.9946791962343542, 0.994684514511495, 0.9946898274728841,
+ 0.9946951351238347, 0.9947004374696548, 0.9947057345156468,
+ 0.9947110262671082, 0.994716312729331, 0.9947215939076018,
+ 0.9947268698072023, 0.9947321404334084, 0.9947374057914912,
+ 0.994742665886716, 0.9947479207243436, 0.9947531703096287,
+ 0.9947584146478214, 0.9947636537441662, 0.9947688876039025,
+ 0.9947741162322644, 0.9947793396344808, 0.9947845578157753,
+ 0.9947897707813665, 0.9947949785364675, 0.9948001810862863,
+ 0.9948053784360258, 0.9948105705908835, 0.9948157575560519,
+ 0.9948209393367182, 0.9948261159380645, 0.9948312873652675,
+ 0.994836453623499, 0.9948416147179255, 0.9948467706537084,
+ 0.9948519214360039, 0.994857067069963, 0.9948622075607315,
+ 0.9948673429134502, 0.9948724731332549, 0.9948775982252759,
+ 0.9948827181946385, 0.9948878330464629, 0.9948929427858644,
+ 0.994898047417953, 0.9949031469478333, 0.9949082413806054,
+ 0.9949133307213638, 0.9949184149751982, 0.9949234941471929,
+ 0.9949285682424277, 0.9949336372659766, 0.9949387012229092,
+ 0.9949437601182893, 0.9949488139571764, 0.9949538627446244,
+ 0.9949589064856825, 0.9949639451853945, 0.9949689788487995,
+ 0.9949740074809315, 0.9949790310868191, 0.9949840496714862,
+ 0.994989063239952, 0.9949940717972299, 0.994999075348329,
+ 0.9950040738982528, 0.9950090674520005, 0.9950140560145655,
+ 0.9950190395909368, 0.9950240181860983, 0.9950289918050287,
+ 0.995033960452702, 0.995038924134087, 0.9950438828541476,
+ 0.9950488366178429, 0.9950537854301268, 0.9950587292959484,
+ 0.9950636682202518, 0.9950686022079762, 0.9950735312640558,
+ 0.99507845539342, 0.995083374600993, 0.9950882888916944,
+ 0.9950931982704387, 0.9950981027421355, 0.9951030023116895,
+ 0.9951078969840006, 0.9951127867639636, 0.9951176716564686,
+ 0.9951225516664007, 0.9951274267986403, 0.9951322970580625,
+ 0.9951371624495381, 0.9951420229779325, 0.9951468786481066,
+ 0.9951517294649163, 0.9951565754332126, 0.9951614165578417,
+ 0.995166252843645, 0.9951710842954592, 0.9951759109181157,
+ 0.9951807327164416, 0.9951855496952587, 0.9951903618593845,
+ 0.9951951692136313, 0.9951999717628065, 0.9952047695117132,
+ 0.9952095624651491, 0.9952143506279076, 0.9952191340047771,
+ 0.9952239126005411, 0.9952286864199785, 0.9952334554678633,
+ 0.995238219748965, 0.9952429792680478, 0.9952477340298717,
+ 0.9952524840391915, 0.9952572293007577, 0.9952619698193155,
+ 0.9952667055996058, 0.9952714366463649, 0.9952761629643235,
+ 0.9952808845582086, 0.9952856014327419, 0.9952903135926405,
+ 0.9952950210426169, 0.9952997237873786, 0.9953044218316287,
+ 0.9953091151800655, 0.9953138038373824, 0.9953184878082685,
+ 0.995323167097408, 0.9953278417094803, 0.9953325116491603,
+ 0.9953371769211181, 0.9953418375300194, 0.9953464934805248,
+ 0.9953511447772908, 0.9953557914249686, 0.9953604334282052,
+ 0.9953650707916429, 0.9953697035199193, 0.9953743316176673,
+ 0.9953789550895152, 0.9953835739400867, 0.995388188174001,
+ 0.9953927977958725, 0.995397402810311, 0.9954020032219217,
+ 0.9954065990353055, 0.9954111902550582, 0.9954157768857713,
+ 0.9954203589320317, 0.9954249363984217, 0.9954295092895189,
+ 0.9954340776098966, 0.9954386413641231, 0.9954432005567625,
+ 0.9954477551923743, 0.9954523052755132, 0.9954568508107297,
+ 0.9954613918025694, 0.9954659282555736, 0.995470460174279,
+ 0.9954749875632176, 0.9954795104269173, 0.9954840287699008,
+ 0.9954885425966871, 0.9954930519117899, 0.995497556719719,
+ 0.9955020570249792, 0.9955065528320712, 0.995511044145491,
+ 0.9955155309697301, 0.9955200133092755, 0.9955244911686099,
+ 0.9955289645522113, 0.9955334334645533, 0.995537897910105,
+ 0.9955423578933312, 0.9955468134186921, 0.9955512644906432,
+ 0.9955557111136362, 0.9955601532921176, 0.9955645910305299,
+ 0.9955690243333111, 0.9955734532048947, 0.9955778776497097,
+ 0.995582297672181, 0.9955867132767287, 0.9955911244677687,
+ 0.9955955312497122, 0.9955999336269664, 0.9956043316039339,
+ 0.9956087251850128, 0.995613114374597, 0.9956174991770758,
+ 0.9956218795968342, 0.995626255638253, 0.9956306273057085,
+ 0.9956349946035723, 0.9956393575362121, 0.9956437161079911,
+ 0.995648070323268, 0.9956524201863972, 0.9956567657017289,
+ 0.9956611068736088, 0.9956654437063782, 0.9956697762043742,
+ 0.9956741043719296, 0.9956784282133726, 0.9956827477330275,
+ 0.9956870629352138, 0.995691373824247, 0.9956956804044383,
+ 0.9956999826800944, 0.9957042806555179, 0.9957085743350067,
+ 0.9957128637228551, 0.9957171488233524, 0.9957214296407839,
+ 0.9957257061794309, 0.99572997844357, 0.9957342464374737,
+ 0.99573851016541, 0.9957427696316432, 0.9957470248404329,
+ 0.9957512757960342, 0.9957555225026986, 0.9957597649646729,
+ 0.9957640031861998, 0.9957682371715177, 0.995772466924861,
+ 0.9957766924504593, 0.9957809137525385, 0.9957851308353203,
+ 0.9957893437030217, 0.995793552359856, 0.9957977568100319,
+ 0.9958019570577542, 0.9958061531072232, 0.9958103449626353,
+ 0.9958145326281826, 0.9958187161080528, 0.9958228954064298,
+ 0.9958270705274929, 0.9958312414754176, 0.9958354082543749,
+ 0.9958395708685319, 0.9958437293220515, 0.995847883619092,
+ 0.9958520337638084, 0.9958561797603507, 0.9958603216128652,
+ 0.9958644593254941, 0.9958685929023751, 0.9958727223476421,
+ 0.9958768476654247, 0.9958809688598484, 0.9958850859350348,
+ 0.995889198895101, 0.9958933077441602, 0.9958974124863215,
+ 0.9959015131256896, 0.9959056096663658, 0.9959097021124464,
+ 0.9959137904680244, 0.9959178747371882, 0.9959219549240222,
+ 0.9959260310326069, 0.9959301030670187, 0.9959341710313295,
+ 0.9959382349296079, 0.9959422947659177, 0.995946350544319,
+ 0.9959504022688679, 0.9959544499436163, 0.9959584935726119,
+ 0.9959625331598987, 0.9959665687095164, 0.9959706002255008,
+ 0.9959746277118836, 0.9959786511726926, 0.9959826706119512,
+ 0.9959866860336793, 0.9959906974418925, 0.9959947048406023,
+ 0.9959987082338163, 0.9960027076255381, 0.9960067030197673,
+ 0.9960106944204996, 0.9960146818317265, 0.9960186652574355,
+ 0.9960226447016105, 0.996026620168231, 0.9960305916612726,
+ 0.9960345591847071, 0.996038522742502, 0.9960424823386215,
+ 0.996046437977025, 0.9960503896616684, 0.9960543373965037,
+ 0.9960582811854788, 0.9960622210325376, 0.9960661569416203,
+ 0.9960700889166628, 0.9960740169615975, 0.9960779410803524,
+ 0.996081861276852, 0.9960857775550167, 0.9960896899187629,
+ 0.9960935983720031, 0.9960975029186461, 0.9961014035625965,
+ 0.9961053003077552, 0.9961091931580192, 0.9961130821172814,
+ 0.9961169671894311, 0.9961208483783535, 0.99612472568793,
+ 0.996128599122038, 0.9961324686845513, 0.9961363343793396,
+ 0.9961401962102687, 0.9961440541812008, 0.9961479082959939,
+ 0.9961517585585024, 0.9961556049725766, 0.9961594475420633,
+ 0.9961632862708052, 0.9961671211626412, 0.9961709522214064,
+ 0.9961747794509319, 0.9961786028550454, 0.9961824224375704,
+ 0.9961862382023265, 0.99619005015313, 0.9961938582937927,
+ 0.996197662628123, 0.9962014631599255, 0.996205259893001,
+ 0.9962090528311464, 0.9962128419781546, 0.9962166273378151,
+ 0.9962204089139135, 0.9962241867102315, 0.9962279607305472,
+ 0.9962317309786346, 0.9962354974582642, 0.9962392601732029,
+ 0.9962430191272131, 0.9962467743240545, 0.9962505257674822,
+ 0.9962542734612478, 0.9962580174090994, 0.996261757614781,
+ 0.9962654940820328, 0.9962692268145917, 0.9962729558161907,
+ 0.9962766810905587, 0.9962804026414214, 0.9962841204725003,
+ 0.9962878345875137, 0.9962915449901757, 0.996295251684197,
+ 0.9962989546732843, 0.996302653961141, 0.9963063495514665,
+ 0.9963100414479565, 0.9963137296543032, 0.996317414174195,
+ 0.9963210950113164, 0.9963247721693486, 0.9963284456519688,
+ 0.9963321154628508, 0.9963357816056646, 0.9963394440840765,
+ 0.9963431029017491, 0.9963467580623415, 0.9963504095695089,
+ 0.9963540574269032, 0.9963577016381723, 0.9963613422069605,
+ 0.9963649791369087, 0.9963686124316541, 0.9963722420948299,
+ 0.9963758681300662, 0.9963794905409891, 0.9963831093312211,
+ 0.9963867245043814, 0.9963903360640851, 0.9963939440139442,
+ 0.9963975483575667, 0.996401149098557, 0.9964047462405163,
+ 0.9964083397870417, 0.996411929741727, 0.9964155161081624,
+ 0.9964190988899343, 0.9964226780906258, 0.9964262537138161,
+ 0.9964298257630813, 0.9964333942419933, 0.996436959154121,
+ 0.9964405205030293, 0.9964440782922799, 0.9964476325254307,
+ 0.9964511832060361, 0.996454730337647, 0.9964582739238106,
+ 0.9964618139680707, 0.9964653504739676, 0.9964688834450379,
+ 0.9964724128848149, 0.996475938796828, 0.9964794611846035,
+ 0.9964829800516638, 0.996486495401528, 0.9964900072377116,
+ 0.9964935155637267, 0.9964970203830816, 0.9965005216992816,
+ 0.996504019515828, 0.9965075138362187, 0.9965110046639485,
+ 0.9965144920025081, 0.9965179758553852, 0.9965214562260636,
+ 0.9965249331180241, 0.9965284065347437, 0.996531876479696,
+ 0.9965353429563509, 0.9965388059681755, 0.9965422655186325,
+ 0.9965457216111818, 0.9965491742492798, 0.9965526234363793,
+ 0.9965560691759294, 0.9965595114713763, 0.9965629503261624,
+ 0.9965663857437266, 0.9965698177275045, 0.9965732462809284,
+ 0.996576671407427, 0.9965800931104255, 0.9965835113933458,
+ 0.9965869262596064, 0.9965903377126223, 0.9965937457558052,
+ 0.9965971503925631, 0.9966005516263011, 0.9966039494604204,
+ 0.9966073438983192, 0.9966107349433918, 0.9966141225990297,
+ 0.9966175068686206, 0.9966208877555489, 0.9966242652631958,
+ 0.9966276393949388, 0.9966310101541523, 0.9966343775442073,
+ 0.9966377415684712, 0.9966411022303083, 0.9966444595330795,
+ 0.996647813480142, 0.9966511640748501, 0.9966545113205546,
+ 0.9966578552206029, 0.996661195778339, 0.9966645329971036,
+ 0.9966678668802342, 0.9966711974310648, 0.996674524652926,
+ 0.9966778485491454, 0.9966811691230469, 0.9966844863779514,
+ 0.9966878003171761, 0.9966911109440353, 0.9966944182618397,
+ 0.9966977222738967, 0.9967010229835107, 0.9967043203939825,
+ 0.9967076145086096, 0.9967109053306862, 0.9967141928635034,
+ 0.996717477110349, 0.9967207580745072, 0.9967240357592593,
+ 0.9967273101678831, 0.9967305813036531, 0.9967338491698406,
+ 0.9967371137697139, 0.9967403751065373, 0.9967436331835727,
+ 0.9967468880040782, 0.9967501395713086, 0.996753387888516,
+ 0.9967566329589486, 0.9967598747858517, 0.9967631133724674,
+ 0.9967663487220342, 0.9967695808377879, 0.9967728097229606,
+ 0.9967760353807813, 0.996779257814476, 0.9967824770272671,
+ 0.9967856930223742, 0.9967889058030133, 0.9967921153723973,
+ 0.9967953217337361, 0.9967985248902361, 0.9968017248451007,
+ 0.9968049216015298, 0.9968081151627206, 0.9968113055318666,
+ 0.9968144927121585, 0.9968176767067836, 0.9968208575189259,
+ 0.9968240351517667, 0.9968272096084834, 0.9968303808922508,
+ 0.9968335490062404, 0.9968367139536204, 0.996839875737556,
+ 0.9968430343612089, 0.9968461898277381, 0.9968493421402992,
+ 0.9968524913020447, 0.9968556373161237, 0.9968587801856826,
+ 0.9968619199138644, 0.996865056503809, 0.996868189958653,
+ 0.9968713202815301, 0.9968744474755709, 0.9968775715439024,
+ 0.9968806924896492, 0.9968838103159322, 0.9968869250258695,
+ 0.9968900366225759, 0.9968931451091632, 0.9968962504887399,
+ 0.9968993527644117, 0.996902451939281, 0.996905548016447,
+ 0.9969086409990061, 0.9969117308900514, 0.9969148176926728,
+ 0.9969179014099574, 0.9969209820449891, 0.9969240596008486,
+ 0.9969271340806137, 0.9969302054873589, 0.9969332738241559,
+ 0.9969363390940731, 0.9969394013001759, 0.9969424604455267,
+ 0.9969455165331849, 0.9969485695662066, 0.996951619547645,
+ 0.9969546664805503, 0.9969577103679697, 0.9969607512129469,
+ 0.9969637890185231, 0.9969668237877363, 0.9969698555236214,
+ 0.9969728842292102, 0.9969759099075316, 0.9969789325616115,
+ 0.9969819521944727, 0.9969849688091348, 0.9969879824086149,
+ 0.9969909929959263, 0.9969940005740802, 0.996997005146084,
+ 0.9970000067149426, 0.9970030052836576, 0.9970060008552278,
+ 0.9970089934326489, 0.9970119830189136, 0.9970149696170117,
+ 0.9970179532299299, 0.997020933860652, 0.9970239115121587,
+ 0.997026886187428, 0.9970298578894344, 0.99703282662115,
+ 0.9970357923855436, 0.9970387551855812, 0.9970417150242256,
+ 0.9970446719044368, 0.997047625829172, 0.9970505768013851,
+ 0.9970535248240273, 0.9970564699000467, 0.9970594120323886,
+ 0.9970623512239953, 0.997065287477806, 0.9970682207967573,
+ 0.9970711511837824, 0.9970740786418122, 0.9970770031737739,
+ 0.9970799247825926, 0.9970828434711896, 0.9970857592424841,
+ 0.9970886720993918, 0.9970915820448258, 0.9970944890816963,
+ 0.9970973932129102, 0.997100294441372, 0.997103192769983,
+ 0.9971060882016417, 0.9971089807392436, 0.9971118703856815,
+ 0.9971147571438451, 0.9971176410166214, 0.9971205220068943,
+ 0.997123400117545, 0.9971262753514517, 0.9971291477114899,
+ 0.997132017200532, 0.9971348838214477, 0.9971377475771036,
+ 0.9971406084703638, 0.9971434665040892, 0.9971463216811381,
+ 0.9971491740043658, 0.9971520234766246, 0.9971548701007643,
+ 0.9971577138796316, 0.9971605548160704, 0.9971633929129218,
+ 0.997166228173024, 0.9971690605992125, 0.9971718901943198,
+ 0.9971747169611757, 0.997177540902607, 0.9971803620214379,
+ 0.9971831803204895, 0.9971859958025804, 0.9971888084705262,
+ 0.9971916183271395, 0.9971944253752306, 0.9971972296176066,
+ 0.9972000310570718, 0.9972028296964278, 0.9972056255384734,
+ 0.9972084185860046, 0.9972112088418146, 0.9972139963086937,
+ 0.9972167809894296, 0.997219562886807, 0.9972223420036082,
+ 0.9972251183426122, 0.9972278919065956, 0.9972306626983319,
+ 0.9972334307205923, 0.9972361959761449, 0.997238958467755,
+ 0.9972417181981854, 0.9972444751701958, 0.9972472293865432,
+ 0.9972499808499823, 0.9972527295632644, 0.9972554755291385,
+ 0.9972582187503507, 0.9972609592296443, 0.9972636969697599,
+ 0.9972664319734356, 0.9972691642434062, 0.9972718937824042,
+ 0.9972746205931595, 0.9972773446783989, 0.9972800660408465,
+ 0.997282784683224, 0.99728550060825, 0.9972882138186407,
+ 0.9972909243171094, 0.9972936321063668, 0.9972963371891207,
+ 0.9972990395680763, 0.9973017392459363, 0.9973044362254003,
+ 0.9973071305091656, 0.9973098220999266, 0.9973125110003749,
+ 0.9973151972131995, 0.997317880741087, 0.9973205615867208,
+ 0.997323239752782, 0.9973259152419489, 0.9973285880568971,
+ 0.9973312582002996, 0.9973339256748266, 0.9973365904831457,
+ 0.997339252627922, 0.9973419121118176, 0.9973445689374921,
+ 0.9973472231076026, 0.9973498746248034, 0.9973525234917461,
+ 0.9973551697110796, 0.9973578132854504, 0.9973604542175022,
+ 0.9973630925098759, 0.9973657281652101, 0.9973683611861405,
+ 0.9973709915753003, 0.99737361933532, 0.9973762444688276,
+ 0.9973788669784481, 0.9973814868668044, 0.9973841041365163,
+ 0.9973867187902014, 0.9973893308304744, 0.9973919402599475,
+ 0.9973945470812302, 0.9973971512969294, 0.9973997529096497,
+ 0.9974023519219926, 0.9974049483365572, 0.9974075421559404,
+ 0.9974101333827358, 0.9974127220195348, 0.9974153080689263,
+ 0.9974178915334965, 0.9974204724158288, 0.9974230507185042,
+ 0.9974256264441015, 0.9974281995951961, 0.9974307701743617,
+ 0.9974333381841686, 0.9974359036271853, 0.997438466505977,
+ 0.9974410268231071, 0.9974435845811357, 0.997446139782621,
+ 0.997448692430118, 0.9974512425261798, 0.9974537900733564,
+ 0.9974563350741955, 0.9974588775312424, 0.9974614174470394,
+ 0.9974639548241269, 0.997466489665042, 0.99746902197232,
+ 0.9974715517484932, 0.9974740789960915, 0.9974766037176422,
+ 0.9974791259156703, 0.9974816455926981, 0.9974841627512454,
+ 0.9974866773938293, 0.9974891895229648, 0.9974916991411641,
+ 0.9974942062509368, 0.9974967108547903, 0.9974992129552294,
+ 0.9975017125547561, 0.9975042096558702, 0.9975067042610689,
+ 0.9975091963728471, 0.9975116859936968, 0.997514173126108,
+ 0.9975166577725677, 0.9975191399355609, 0.9975216196175697,
+ 0.997524096821074, 0.9975265715485512, 0.997529043802476,
+ 0.9975315135853209, 0.9975339808995557, 0.9975364457476479,
+ 0.9975389081320624, 0.9975413680552618, 0.9975438255197061,
+ 0.997546280527853, 0.9975487330821574, 0.9975511831850722,
+ 0.9975536308390476, 0.9975560760465312, 0.9975585188099685,
+ 0.9975609591318022, 0.997563397014473, 0.9975658324604187,
+ 0.997568265472075, 0.997570696051875, 0.9975731242022493,
+ 0.9975755499256264, 0.9975779732244319, 0.9975803941010892,
+ 0.9975828125580196, 0.9975852285976414, 0.9975876422223708,
+ 0.9975900534346217, 0.9975924622368053, 0.9975948686313306,
+ 0.997597272620604, 0.9975996742070298, 0.9976020733930094,
+ 0.9976044701809424, 0.9976068645732256, 0.9976092565722535,
+ 0.9976116461804182, 0.9976140334001096, 0.9976164182337147,
+ 0.9976188006836187, 0.9976211807522042, 0.9976235584418512,
+ 0.9976259337549378, 0.9976283066938391, 0.9976306772609284,
+ 0.9976330454585761, 0.9976354112891509, 0.9976377747550185,
+ 0.9976401358585425, 0.9976424946020842, 0.9976448509880025,
+ 0.9976472050186538, 0.9976495566963922, 0.9976519060235696,
+ 0.9976542530025354, 0.9976565976356369, 0.9976589399252184,
+ 0.9976612798736227, 0.9976636174831898, 0.9976659527562572,
+ 0.9976682856951605, 0.9976706163022329, 0.9976729445798047,
+ 0.9976752705302047, 0.9976775941557586, 0.9976799154587905,
+ 0.9976822344416216, 0.9976845511065711, 0.9976868654559558,
+ 0.9976891774920899, 0.9976914872172858, 0.9976937946338534,
+ 0.9976960997441001, 0.9976984025503312, 0.9977007030548495,
+ 0.9977030012599557, 0.9977052971679481, 0.9977075907811227,
+ 0.9977098821017734, 0.9977121711321913, 0.997714457874666,
+ 0.9977167423314839, 0.9977190245049299, 0.997721304397286,
+ 0.9977235820108326, 0.997725857347847, 0.9977281304106049,
+ 0.9977304012013795, 0.9977326697224416, 0.9977349359760598,
+ 0.9977371999645005, 0.9977394616900279, 0.9977417211549038,
+ 0.9977439783613876, 0.997746233311737, 0.9977484860082066,
+ 0.9977507364530496, 0.9977529846485164, 0.9977552305968552,
+ 0.9977574743003123, 0.9977597157611312, 0.9977619549815538,
+ 0.9977641919638193, 0.9977664267101647, 0.997768659222825,
+ 0.9977708895040327, 0.9977731175560183, 0.9977753433810099,
+ 0.9977775669812335, 0.9977797883589128, 0.9977820075162691,
+ 0.997784224455522, 0.9977864391788883, 0.9977886516885829,
+ 0.9977908619868185, 0.9977930700758054, 0.9977952759577519,
+ 0.9977974796348638, 0.9977996811093451, 0.9978018803833973,
+ 0.9978040774592198, 0.9978062723390098, 0.9978084650249622,
+ 0.99781065551927, 0.9978128438241235, 0.9978150299417113,
+ 0.9978172138742196, 0.9978193956238326, 0.9978215751927318,
+ 0.9978237525830973, 0.9978259277971062, 0.9978281008369341,
+ 0.997830271704754, 0.997832440402737, 0.9978346069330518,
+ 0.9978367712978652, 0.9978389334993414, 0.9978410935396429,
+ 0.9978432514209298, 0.9978454071453601, 0.9978475607150896,
+ 0.9978497121322721, 0.997851861399059, 0.9978540085175998,
+ 0.9978561534900414, 0.9978582963185293, 0.9978604370052062,
+ 0.997862575552213, 0.9978647119616882, 0.9978668462357685,
+ 0.9978689783765882, 0.9978711083862795, 0.9978732362669726,
+ 0.9978753620207953, 0.9978774856498738, 0.9978796071563315,
+ 0.9978817265422902, 0.9978838438098694, 0.9978859589611864,
+ 0.9978880719983565, 0.9978901829234927, 0.9978922917387063,
+ 0.997894398446106, 0.9978965030477986, 0.997898605545889,
+ 0.9979007059424798, 0.9979028042396713, 0.9979049004395619,
+ 0.9979069945442481, 0.9979090865558241, 0.9979111764763818,
+ 0.9979132643080114, 0.9979153500528009, 0.9979174337128359,
+ 0.9979195152902003, 0.9979215947869758, 0.997923672205242,
+ 0.9979257475470765, 0.9979278208145546, 0.9979298920097497,
+ 0.9979319611347331, 0.9979340281915742, 0.9979360931823399,
+ 0.9979381561090954, 0.9979402169739038, 0.997942275778826,
+ 0.997944332525921, 0.9979463872172454, 0.9979484398548543,
+ 0.9979504904408002, 0.9979525389771339, 0.997954585465904,
+ 0.9979566299091572, 0.997958672308938, 0.9979607126672888,
+ 0.9979627509862501, 0.9979647872678604, 0.997966821514156,
+ 0.9979688537271714, 0.9979708839089386, 0.9979729120614882,
+ 0.9979749381868483, 0.9979769622870452, 0.997978984364103,
+ 0.997981004420044, 0.9979830224568883, 0.997985038476654,
+ 0.9979870524813573, 0.9979890644730123, 0.9979910744536309,
+ 0.9979930824252234, 0.9979950883897979, 0.9979970923493603,
+ 0.9979990943059147, 0.9980010942614633, 0.998003092218006,
+ 0.9980050881775409, 0.998007082142064, 0.9980090741135694,
+ 0.9980110640940493, 0.9980130520854936, 0.9980150380898906,
+ 0.9980170221092262, 0.9980190041454845, 0.9980209842006479,
+ 0.9980229622766963, 0.9980249383756079, 0.9980269124993589,
+ 0.9980288846499238, 0.9980308548292744, 0.9980328230393813,
+ 0.9980347892822128, 0.998036753559735, 0.9980387158739126,
+ 0.9980406762267077, 0.9980426346200809, 0.9980445910559907,
+ 0.9980465455363937, 0.9980484980632444, 0.9980504486384952,
+ 0.9980523972640972, 0.9980543439419989, 0.9980562886741471,
+ 0.9980582314624865, 0.9980601723089603, 0.9980621112155091,
+ 0.9980640481840721, 0.9980659832165863, 0.9980679163149869,
+ 0.9980698474812071, 0.998071776717178, 0.9980737040248291,
+ 0.9980756294060876, 0.9980775528628794, 0.9980794743971275,
+ 0.9980813940107539, 0.9980833117056783, 0.9980852274838183,
+ 0.99808714134709, 0.9980890532974072, 0.9980909633366819,
+ 0.9980928714668245, 0.9980947776897429, 0.9980966820073436,
+ 0.9980985844215309, 0.9981004849342074, 0.9981023835472739,
+ 0.9981042802626288, 0.9981061750821689, 0.9981080680077893,
+ 0.998109959041383, 0.998111848184841, 0.9981137354400527,
+ 0.9981156208089054, 0.9981175042932844, 0.9981193858950734,
+ 0.9981212656161542, 0.9981231434584065, 0.9981250194237082,
+ 0.9981268935139355, 0.9981287657309624, 0.9981306360766614};
+
+
+ //Find the correct [j][k] element for a given x1 and x2
+
+ if ( x1==wreg[JMAX] ){j=JMAX;}
+ else{
+ for (int y=0; y<=JMAX; y++){
+ if ( (wreg[y] <= x1) && ( x1 < wreg[y+1]) ) { j=y; break;}
+ }
+ }
+ if ( x2>ularge[KMAX-1] ){k=KMAX;}
+ else{
+ for (int z=0; z<=KMAX; z++){
+ if ( (ularge[z] <= x2) && ( x2 < ularge[z+1]) ) { k=z; break;}
+ }
+ }
+
+ //Calculate sigma() using Bi-Linear interpolaion
+
+ double y0, y1, y2, y3;
+ double t, u;
+
+ if ( k==KMAX) {
+ ans = sigma[k][j];
+ }
+
+ else {
+ y0 = sigma[k][j];
+ y1 = sigma[k][j+1];
+ y2 = sigma[k+1][j+1];
+ y3 = sigma[k+1][j];
+
+ t = (x1-wreg[j])/(wreg[j+1]-wreg[j]);
+ u = (x2-ularge[k])/(ularge[k+1]-ularge[k]);
+
+ ans = (1-t)*(1-u)*y0+t*(1-u)*y1 +t*u*y2+(1-t)*u*y3;
+ }
+ }
+return ans;
+}
--- /dev/null
+//////////////////////////////////////////////////////////////////////
+//
+// Module: EvtVubAC.hh
+//
+//////////////////////////////////////////////////////////////////
+
+#ifndef EVTVUBAC_HH
+#define EVTVUBAC_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+#include <vector>
+
+class EvtParticle;
+class RandGeneral;
+class EvtVubdGamma;
+
+class EvtVubAC:public EvtDecayIncoherent {
+
+public:
+
+ EvtVubAC() {}
+ virtual ~EvtVubAC();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *Bmeson);
+
+private:
+ // Input parameters
+ double mB;
+ double lambda2;
+
+ double alphaSmZ;
+ double alphaSmB;
+ double c;
+ double q;
+ double k;
+
+ double CF;
+ double CA;
+
+ double beta0;
+
+ std::vector<double> gvars;
+
+ double rate(double u, double w, double xb);
+ double wreg(double w);
+ double alphaS(double Q);
+ double PolyLog(double v, double z);
+ double ureg(double u);
+ double ularge(double u);
+ double Coeff(double u, double w, double xb);
+ double Coeff1(double w, double xb);
+ double Coeff0(double w, double xb);
+ double Sigma(double x1, double x2);
+ double max(double ub, double lb);
+ double d1(double u, double w, double xb);
+ double d(double u, double w, double xb);
+ double f(double w);
+ double Lambda2(double x, double alphaSmZ);
+ int Bisect(double x1, double x2,double precision,double& root,const double alphaSmZ);
+ double FindRoot(const double alphaSmZ);
+
+};
+
+#endif
+
+
--- /dev/null
+
+//////////////////////////////////////////////////////////////////////
+//
+// Module: EvtVubBLNP.cc
+//
+// Description: Modeled on Riccardo Faccini's EvtVubNLO module
+//
+// tripleDiff from BLNP's notebook (based on BLNP4, hep-ph/0504071)
+//
+//////////////////////////////////////////////////////////////////
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVubBLNP.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtItgSimpsonIntegrator.hh"
+#include "EvtGenModels/EvtItgPtrFunction.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtPFermi.hh"
+
+// For incomplete gamma function
+#include "math.h"
+#include "signal.h"
+#define ITMAX 100
+#define EPS 3.0e-7
+#define FPMIN 1.0e-30
+
+using std::cout;
+using std::endl;
+
+EvtVubBLNP::~EvtVubBLNP() {
+}
+
+std::string EvtVubBLNP::getName(){
+ return "VUB_BLNP";
+}
+
+EvtDecayBase *EvtVubBLNP::clone() {
+
+ return new EvtVubBLNP;
+
+}
+
+void EvtVubBLNP::init() {
+
+ // get parameters (declared in the header file)
+
+ // Input parameters
+ mBB = 5.2792;
+ lambda2 = 0.12;
+
+ // Shape function parameters
+ b = getArg(0);
+ Lambda = getArg(1);
+ Ecut = 1.8;
+ wzero = mBB - 2*Ecut;
+
+ // SF and SSF modes
+ itype = (int)getArg(5);
+ dtype = getArg(5);
+ isubl = (int)getArg(6);
+
+ // flags
+ flag1 = (int)getArg(7);
+ flag2 = (int)getArg(8);
+ flag3 = (int)getArg(9);
+
+ // Quark mass
+ mb = 4.61;
+
+
+ // hidden parameter what and SF stuff
+ const double xlow = 0;
+ const double xhigh = mBB;
+ const int aSize = 10000;
+ EvtPFermi pFermi(Lambda,b);
+ // pf is the cumulative distribution normalized to 1.
+ _pf.resize(aSize);
+ for(int i=0;i<aSize;i++){
+ double what = xlow + (double)(i+0.5)/((double)aSize)*(xhigh-xlow);
+ if ( i== 0 )
+ _pf[i] = pFermi.getSFBLNP(what);
+ else
+ _pf[i] = _pf[i-1] + pFermi.getSFBLNP(what);
+ }
+ for (size_t i=0; i<_pf.size(); i++) {
+ _pf[i]/=_pf[_pf.size()-1];
+ }
+
+
+
+ // Matching scales
+ muh = mBB*getArg(2); // 0.5
+ mui = getArg(3); // 1.5
+ mubar = getArg(4); // 1.5
+
+ // Perturbative quantities
+ CF = 4.0/3.0;
+ CA = 3.0;
+ double nf = 4.0;
+
+ beta0 = 11.0/3.0*CA - 2.0/3.0*nf;
+ beta1 = 34.0/3.0*CA*CA - 10.0/3.0*CA*nf - 2.0*CF*nf;
+ beta2 = 2857.0/54.0*CA*CA*CA + (CF*CF - 205.0/18.0*CF*CA - 1415.0/54.0*CA*CA)*nf + (11.0/9.0*CF + 79.0/54.0*CA)*nf*nf;
+
+ zeta3 = 1.0 + 1/8.0 + 1/27.0 + 1/64.0;
+
+ Gamma0 = 4*CF;
+ Gamma1 = CF*( (268.0/9.0 - 4.0*M_PI*M_PI/3.0)*CA - 40.0/9.0*nf);
+ Gamma2 = 16*CF*( (245.0/24.0 - 67.0/54.0*M_PI*M_PI + + 11.0/180.0*pow(M_PI,4) + 11.0/6.0*zeta3)*CA*CA* + (-209.0/108.0 + 5.0/27.0*M_PI*M_PI - 7.0/3.0*zeta3)*CA*nf + (-55.0/24.0 + 2*zeta3)*CF*nf - nf*nf/27.0);
+
+ gp0 = -5.0*CF;
+ gp1 = -8.0*CF*( (3.0/16.0 - M_PI*M_PI/4.0 + 3*zeta3)*CF + (1549.0/432.0 + 7.0/48.0*M_PI*M_PI - 11.0/4.0*zeta3)*CA - (125.0/216.0 + M_PI*M_PI/24.0)*nf );
+
+ // Lbar and mupisq
+
+ Lbar = Lambda; // all models
+ mupisq = 3*Lambda*Lambda/b;
+ if (itype == 1) mupisq = 3*Lambda*Lambda/b;
+ if (itype == 2) mupisq = 3*Lambda*Lambda*(Gamma(1+0.5*b)*Gamma(0.5*b)/pow( Gamma(0.5 + 0.5*b), 2) - 1);
+
+ // moment2 for SSFs
+ moment2 = pow(0.3,3);
+
+ // inputs for total rate (T for Total); use BLNP notebook defaults
+ flagpower = 1;
+ flag2loop = 1;
+
+ // stuff for the integrator
+ maxLoop = 20;
+ //precision = 1.0e-3;
+ precision = 2.0e-2;
+
+ // vector of global variables, to pass to static functions (which can't access globals);
+ gvars.push_back(0.0); // 0
+ gvars.push_back(0.0); // 1
+ gvars.push_back(mui); // 2
+ gvars.push_back(b); // 3
+ gvars.push_back(Lambda); // 4
+ gvars.push_back(mBB); // 5
+ gvars.push_back(mb); // 6
+ gvars.push_back(wzero); // 7
+ gvars.push_back(beta0); // 8
+ gvars.push_back(beta1); // 9
+ gvars.push_back(beta2); // 10
+ gvars.push_back(dtype); // 11
+
+ // check that there are 3 daughters and 10 arguments
+ checkNDaug(3);
+ checkNArg(10);
+
+}
+
+void EvtVubBLNP::initProbMax() {
+ noProbMax();
+}
+
+void EvtVubBLNP::decay(EvtParticle *Bmeson) {
+
+ int j;
+
+ EvtParticle *xuhad, *lepton, *neutrino;
+ EvtVector4R p4;
+ double Pp, Pm, Pl, pdf, EX, PX, sh, qsq, El, ml, mpi, ratemax;
+
+ double xhigh, xlow, what;
+
+ Bmeson->initializePhaseSpace(getNDaug(), getDaugs());
+
+ xuhad = Bmeson->getDaug(0);
+ lepton = Bmeson->getDaug(1);
+ neutrino = Bmeson ->getDaug(2);
+
+ mBB = Bmeson->mass();
+ ml = lepton->mass();
+
+
+
+ // get SF value
+ xlow = 0;
+ xhigh = mBB;
+ // the case for alphas = 0 is not considered
+ what = 2*xhigh;
+ while( what > xhigh || what < xlow ) {
+ what = findBLNPWhat();
+ what = xlow + what*(xhigh-xlow);
+ }
+
+
+
+ bool tryit = true;
+
+ while (tryit) {
+
+ // generate pp between 0 and
+ // Flat(min, max) gives R(max - min) + min, where R = random btwn 0 and 1
+
+ Pp = EvtRandom::Flat(0, mBB); // P+ = EX - |PX|
+ Pl = EvtRandom::Flat(0, mBB); // mBB - 2El
+ Pm = EvtRandom::Flat(0, mBB); // P- = EX + |PX|
+
+ sh = Pm*Pp;
+ EX = 0.5*(Pm + Pp);
+ PX = 0.5*(Pm - Pp);
+ qsq = (mBB - Pp)*(mBB - Pm);
+ El = 0.5*(mBB - Pl);
+
+ // Need maximum rate. Waiting for Mr. Paz to give it to me.
+ // Meanwhile, use this.
+ ratemax = 3.0; // From trial and error - most events below 3.0
+
+ // kinematic bounds (Eq. 2)
+ mpi = 0.14;
+ if ((Pp > 0)&&(Pp <= Pl)&&(Pl <= Pm)&&(Pm < mBB)&&(El > ml)&&(sh > 4*mpi*mpi)) {
+
+ // Probability of pass proportional to PDF
+ pdf = rate3(Pp, Pl, Pm);
+ double testRan = EvtRandom::Flat(0., ratemax);
+ if (pdf >= testRan) tryit = false;
+ }
+ }
+ // o.k. we have the three kineamtic variables
+ // now calculate a flat cos Theta_H [-1,1] distribution of the
+ // hadron flight direction w.r.t the B flight direction
+ // because the B is a scalar and should decay isotropic.
+ // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
+ // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
+ // W flight direction.
+
+ double ctH = EvtRandom::Flat(-1,1);
+ double phH = EvtRandom::Flat(0,2*M_PI);
+ double phL = EvtRandom::Flat(0,2*M_PI);
+
+ // now compute the four vectors in the B Meson restframe
+
+ double ptmp,sttmp;
+ // calculate the hadron 4 vector in the B Meson restframe
+
+ sttmp = sqrt(1-ctH*ctH);
+ ptmp = sqrt(EX*EX-sh);
+ double pHB[4] = {EX,ptmp*sttmp*cos(phH),ptmp*sttmp*sin(phH),ptmp*ctH};
+ p4.set(pHB[0],pHB[1],pHB[2],pHB[3]);
+ xuhad->init( getDaug(0), p4);
+
+
+ bool _storeWhat(true);
+
+ if (_storeWhat ) {
+ // cludge to store the hidden parameter what with the decay;
+ // the lifetime of the Xu is abused for this purpose.
+ // tau = 1 ps corresponds to ctau = 0.3 mm -> in order to
+ // stay well below BaBars sensitivity we take what/(10000 GeV).
+ // To extract what back from the StdHepTrk its necessary to get
+ // delta_ctau = Xu->decayVtx()->point().distanceTo(XuDaughter->decayVtx()->point());
+ //
+ // what = delta_ctau * 100000 * Mass_Xu/Momentum_Xu
+ //
+ xuhad->setLifetime(what/10000.);
+ }
+
+
+ // calculate the W 4 vector in the B Meson restrframe
+
+ double apWB = ptmp;
+ double pWB[4] = {mBB-EX,-pHB[1],-pHB[2],-pHB[3]};
+
+ // first go in the W restframe and calculate the lepton and
+ // the neutrino in the W frame
+
+ double mW2 = mBB*mBB + sh - 2*mBB*EX;
+ double beta = ptmp/pWB[0];
+ double gamma = pWB[0]/sqrt(mW2);
+
+ double pLW[4];
+
+ ptmp = (mW2-ml*ml)/2/sqrt(mW2);
+ pLW[0] = sqrt(ml*ml + ptmp*ptmp);
+
+ double ctL = (El - gamma*pLW[0])/beta/gamma/ptmp;
+ if ( ctL < -1 ) ctL = -1;
+ if ( ctL > 1 ) ctL = 1;
+ sttmp = sqrt(1-ctL*ctL);
+
+ // eX' = eZ x eW
+ double xW[3] = {-pWB[2],pWB[1],0};
+ // eZ' = eW
+ double zW[3] = {pWB[1]/apWB,pWB[2]/apWB,pWB[3]/apWB};
+
+ double lx = sqrt(xW[0]*xW[0]+xW[1]*xW[1]);
+ for (j=0;j<2;j++)
+ xW[j] /= lx;
+
+ // eY' = eZ' x eX'
+ double yW[3] = {-pWB[1]*pWB[3],-pWB[2]*pWB[3],pWB[1]*pWB[1]+pWB[2]*pWB[2]};
+ double ly = sqrt(yW[0]*yW[0]+yW[1]*yW[1]+yW[2]*yW[2]);
+ for (j=0;j<3;j++)
+ yW[j] /= ly;
+
+ // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
+ // + sin(Theta) * sin(Phi) * eY'
+ // + cos(Theta) * eZ')
+ for (j=0;j<3;j++)
+ pLW[j+1] = sttmp*cos(phL)*ptmp*xW[j]
+ + sttmp*sin(phL)*ptmp*yW[j]
+ + ctL *ptmp*zW[j];
+
+ double apLW = ptmp;
+
+ // boost them back in the B Meson restframe
+
+ double appLB = beta*gamma*pLW[0] + gamma*ctL*apLW;
+
+ ptmp = sqrt(El*El-ml*ml);
+ double ctLL = appLB/ptmp;
+
+ if ( ctLL > 1 ) ctLL = 1;
+ if ( ctLL < -1 ) ctLL = -1;
+
+ double pLB[4] = {El,0,0,0};
+ double pNB[4] = {pWB[0]-El,0,0,0};
+
+ for (j=1;j<4;j++) {
+ pLB[j] = pLW[j] + (ctLL*ptmp - ctL*apLW)/apWB*pWB[j];
+ pNB[j] = pWB[j] - pLB[j];
+ }
+
+ p4.set(pLB[0],pLB[1],pLB[2],pLB[3]);
+ lepton->init( getDaug(1), p4);
+
+ p4.set(pNB[0],pNB[1],pNB[2],pNB[3]);
+ neutrino->init( getDaug(2), p4);
+
+ return ;
+
+}
+
+double EvtVubBLNP::rate3(double Pp, double Pl, double Pm) {
+
+ // rate3 in units of GF^2*Vub^2/pi^3
+
+ double factor = 1.0/16*(mBB-Pp)*U1lo(muh, mui)*pow( (Pm - Pp)/(mBB - Pp), alo(muh, mui));
+
+ double doneJS = DoneJS(Pp, Pm, mui);
+ double done1 = Done1(Pp, Pm, mui);
+ double done2 = Done2(Pp, Pm, mui);
+ double done3 = Done3(Pp, Pm, mui);
+
+ // The EvtSimpsonIntegrator returns zero for bad integrals.
+ // So if any of the integrals are zero (ie bad), return zero.
+ // This will cause pdf = 0, so the event will not pass.
+ // I hope this will not introduce a bias.
+ if (doneJS*done1*done2*done3 == 0.0) {
+ //cout << "Integral failed: (Pp, Pm, Pl) = (" << Pp << ", " << Pm << ", " << Pl << ")" << endl;
+ return 0.0;
+ }
+ // if (doneJS*done1*done2*done3 != 0.0) {
+ // cout << "Integral OK: (Pp, Pm, Pl) = (" << Pp << ", " << Pm << ", " << Pl << ")" << endl;
+ //}
+
+ double f1 = F1(Pp, Pm, muh, mui, mubar, doneJS, done1);
+ double f2 = F2(Pp, Pm, muh, mui, mubar, done3);
+ double f3 = F3(Pp, Pm, muh, mui, mubar, done2);
+ double answer = factor*( (mBB + Pl - Pp - Pm)*(Pm - Pl)*f1 + 2*(Pl - Pp)*(Pm - Pl)*f2 + (mBB - Pm)*(Pm - Pp)*f3 );
+ return answer;
+
+}
+
+double EvtVubBLNP::F1(double Pp, double Pm, double muh, double mui, double mubar, double doneJS, double done1) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double y = (Pm - Pp)/(mBB - Pp);
+ double ah = CF*alphas(muh, vars)/4/M_PI;
+ double ai = CF*alphas(mui, vars)/4/M_PI;
+ double abar = CF*alphas(mubar, vars)/4/M_PI;
+ double lambda1 = -mupisq;
+
+ double t1 = -4*ai/(Pp - Lbar)*(2*log((Pp - Lbar)/mui) + 1);
+ double t2 = 1 + dU1nlo(muh, mui) + anlo(muh, mui)*log(y);
+ double t3 = -4.0*pow(log(y*mb/muh),2) + 10.0*log(y*mb/muh) - 4.0*log(y) - 2.0*log(y)/(1-y) - 4.0*PolyLog(2, 1-y) - M_PI*M_PI/6.0 - 12.0;
+ double t4 = 2*pow( log(y*mb*Pp/(mui*mui)), 2) - 3*log(y*mb*Pp/(mui*mui)) + 7 - M_PI*M_PI;
+
+ double t5 = -wS(Pp) + 2*t(Pp) + (1.0/y - 1.0)*(u(Pp) - v(Pp));
+ double t6 = -(lambda1 + 3.0*lambda2)/3.0 + 1.0/pow(y,2)*(4.0/3.0*lambda1 - 2.0*lambda2);
+
+ double shapePp = Shat(Pp, vars);
+
+ double answer = (t2 + ah*t3 + ai*t4)*shapePp + ai*doneJS + 1/(mBB - Pp)*(flag2*abar*done1 + flag1*t5) + 1/pow(mBB - Pp, 2)*flag3*shapePp*t6;
+ if (Pp > Lbar + mui/exp(0.5)) answer = answer + t1;
+ return answer;
+
+}
+
+double EvtVubBLNP::F2(double Pp, double Pm, double muh, double mui, double mubar, double done3) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double y = (Pm - Pp)/(mBB - Pp);
+ double lambda1 = -mupisq;
+ double ah = CF*alphas(muh, vars)/4/M_PI;
+ double abar = CF*alphas(mubar, vars)/4/M_PI;
+
+ double t6 = -wS(Pp) - 2*t(Pp) + 1.0/y*(t(Pp) + v(Pp));
+ double t7 = 1/pow(y,2)*(2.0/3.0*lambda1 + 4.0*lambda2) - 1/y*(2.0/3.0*lambda1 + 3.0/2.0*lambda2);
+
+ double shapePp = Shat(Pp, vars);
+
+ double answer = ah*log(y)/(1-y)*shapePp + 1/(mBB - Pp)*(flag2*abar*0.5*done3 + flag1/y*t6) + 1.0/pow(mBB - Pp,2)*flag3*shapePp*t7;
+ return answer;
+
+}
+
+double EvtVubBLNP::F3(double Pp, double Pm, double muh, double mui, double mubar, double done2) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double y = (Pm - Pp)/(mBB - Pp);
+ double lambda1 = -mupisq;
+ double abar = CF*alphas(mubar, vars)/4/M_PI;
+
+ double t7 = 1.0/pow(y,2)*(-2.0/3.0*lambda1 + lambda2);
+
+ double shapePp = Shat(Pp, vars);
+
+ double answer = 1.0/(Pm - Pp)*flag2*0.5*y*abar*done2 + 1.0/pow(mBB-Pp,2)*flag3*shapePp*t7;
+ return answer;
+
+}
+
+double EvtVubBLNP::DoneJS(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&IntJS, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNP::Done1(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&Int1, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNP::Done2(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&Int2, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNP::Done3(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&Int3, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNP::Int1(double what, const std::vector<double> &vars) {
+ return Shat(what, vars)*g1(what, vars);
+}
+
+double EvtVubBLNP::Int2(double what, const std::vector<double> &vars) {
+ return Shat(what, vars)*g2(what, vars);
+}
+
+double EvtVubBLNP::Int3(double what, const std::vector<double> &vars) {
+ return Shat(what, vars)*g3(what, vars);
+}
+
+double EvtVubBLNP::IntJS(double what, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mui = vars[2];
+ double mBB = vars[5];
+ double mb = vars[6];
+ double y = (Pm - Pp)/(mBB - Pp);
+
+ return 1/(Pp-what)*(Shat(what, vars) - Shat(Pp, vars))*(4*log(y*mb*(Pp-what)/(mui*mui)) - 3);
+}
+
+double EvtVubBLNP::g1(double w, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mBB = vars[5];
+ double y = (Pm - Pp)/(mBB - Pp);
+ double x = (Pp - w)/(mBB - Pp);
+
+ double q1 = (1+x)*(1+x)*y*(x+y);
+ double q2 = y*(-9 + 10*y) + x*x*(-12.0 + 13.0*y) + 2*x*(-8.0 + 6*y + 3*y*y);
+ double q3 = 4/x*log(y + y/x);
+ double q4 = 3.0*pow(x,4)*(-2.0 + y) - 2*pow(y,3) - 4*pow(x,3)*(2.0+y) - 2*x*y*y*(4+y) - x*x*y*(12 + 4*y + y*y);
+ double q5 = log(1 + y/x);
+
+ double answer = q2/q1 - q3 - 2*q4*q5/(q1*y*x);
+ return answer;
+
+}
+
+double EvtVubBLNP::g2(double w, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mBB = vars[5];
+ double y = (Pm - Pp)/(mBB - Pp);
+ double x = (Pp - w)/(mBB - Pp);
+
+ double q1 = (1+x)*(1+x)*pow(y,3)*(x+y);
+ double q2 = 10.0*pow(x,4) + y*y + 3.0*pow(x,2)*y*(10.0+y) + pow(x,3)*(12.0+19.0*y) + x*y*(8.0 + 4.0*y + y*y);
+ double q3 = 5*pow(x,4) + 2.0*y*y + 6.0*pow(x,3)*(1.0+2.0*y) + 4.0*x*y*(1+2.0*y) + x*x*y*(18.0+5.0*y);
+ double q4 = log(1 + y/x);
+
+ double answer = 2.0/q1*( y*q2 - 2*x*q3*q4);
+ return answer;
+
+}
+
+double EvtVubBLNP::g3(double w, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mBB = vars[5];
+ double y = (Pm - Pp)/(mBB - Pp);
+ double x = (Pp - w)/(mBB - Pp);
+
+ double q1 = (1+x)*(1+x)*pow(y,3)*(x+y);
+ double q2 = 2.0*pow(y,3)*(-11.0+2.0*y) - 10.0*pow(x,4)*(6 - 6*y + y*y) + x*y*y*(-94.0 + 29.0*y + 2.0*y*y) + 2.0*x*x*y*(-72.0 +18.0*y + 13.0*y*y) - x*x*x*(72.0 + 42.0*y - 70.0*y*y + 3.0*y*y*y);
+ double q3 = -6.0*x*(-5.0+y)*pow(y,3) + 4*pow(y,4) + 5*pow(x,5)*(6-6*y + y*y) - 4*x*x*y*y*(-20.0 + 6*y + y*y) + pow(x,3)*y*(90.0 - 10.0*y - 28.0*y*y + y*y*y) + pow(x,4)*(36.0 + 36.0*y - 50.0*y*y + 4*y*y*y);
+ double q4 = log(1 + y/x);
+
+ double answer = q2/q1 + 2/q1/y*q3*q4;
+ return answer;
+
+}
+
+
+double EvtVubBLNP::Shat(double w, const std::vector<double> &vars) {
+
+ double mui = vars[2];
+ double b = vars[3];
+ double Lambda = vars[4];
+ double wzero = vars[7];
+ int itype = (int)vars[11];
+
+ double norm = 0.0;
+ double shape = 0.0;
+
+ if (itype == 1) {
+
+ double Lambar = (Lambda/b)*(Gamma(1+b)-Gamma(1+b,b*wzero/Lambda))/(Gamma(b) - Gamma(b, b*wzero/Lambda));
+ double muf = wzero - Lambar;
+ double mupisq = 3*pow(Lambda,2)/pow(b,2)*(Gamma(2+b) - Gamma(2+b, b*wzero/Lambda))/(Gamma(b) - Gamma(b, b*wzero/Lambda)) - 3*Lambar*Lambar;
+ norm = Mzero(muf, mui, mupisq, vars)*Gamma(b)/(Gamma(b) - Gamma(b, b*wzero/Lambda));
+ shape = pow(b,b)/Lambda/Gamma(b)*pow(w/Lambda, b-1)*exp(-b*w/Lambda);
+ }
+
+ if (itype == 2) {
+ double dcoef = pow( Gamma(0.5*(1+b))/Gamma(0.5*b), 2);
+ double t1 = wzero*wzero*dcoef/(Lambda*Lambda);
+ double Lambar = Lambda*(Gamma(0.5*(1+b)) - Gamma(0.5*(1+b),t1))/pow(dcoef, 0.5)/(Gamma(0.5*b) - Gamma(0.5*b, t1));
+ double muf = wzero - Lambar;
+ double mupisq = 3*Lambda*Lambda*( Gamma(1+0.5*b) - Gamma(1+0.5*b, t1))/dcoef/(Gamma(0.5*b) - Gamma(0.5*b, t1)) - 3*Lambar*Lambar;
+ norm = Mzero(muf, mui, mupisq, vars)*Gamma(0.5*b)/(Gamma(0.5*b) - Gamma(0.5*b, wzero*wzero*dcoef/(Lambda*Lambda)));
+ shape = 2*pow(dcoef, 0.5*b)/Lambda/Gamma(0.5*b)*pow(w/Lambda, b-1)*exp(-dcoef*w*w/(Lambda*Lambda));
+ }
+
+ double answer = norm*shape;
+ return answer;
+}
+
+double EvtVubBLNP::Mzero(double muf, double mu, double mupisq, const std::vector<double> &vars) {
+
+ double CF = 4.0/3.0;
+ double amu = CF*alphas(mu, vars)/M_PI;
+ double answer = 1 - amu*( pow(log(muf/mu), 2) + log(muf/mu) + M_PI*M_PI/24.0) + amu*(log(muf/mu) - 0.5)*mupisq/(3*muf*muf);
+ return answer;
+
+}
+
+double EvtVubBLNP::wS(double w) {
+
+ double answer = (Lbar - w)*Shat(w, gvars);
+ return answer;
+}
+
+double EvtVubBLNP::t(double w) {
+
+ double t1 = -3*lambda2/mupisq*(Lbar - w)*Shat(w, gvars);
+ double myf = myfunction(w, Lbar, moment2);
+ double myBIK = myfunctionBIK(w, Lbar, moment2);
+ double answer = t1;
+
+ if (isubl == 1) answer = t1;
+ if (isubl == 3) answer = t1 - myf;
+ if (isubl == 4) answer = t1 + myf;
+ if (isubl == 5) answer = t1 - myBIK;
+ if (isubl == 6) answer = t1 + myBIK;
+
+ return answer;
+}
+
+double EvtVubBLNP::u(double w) {
+
+ double u1 = -2*(Lbar - w)*Shat(w, gvars);
+ double myf = myfunction(w, Lbar, moment2);
+ double myBIK = myfunctionBIK(w, Lbar, moment2);
+ double answer = u1;
+
+ if (isubl == 1) answer = u1;
+ if (isubl == 3) answer = u1 + myf;
+ if (isubl == 4) answer = u1 - myf;
+ if (isubl == 5) answer = u1 + myBIK;
+ if (isubl == 6) answer = u1 - myBIK;
+
+ return answer;
+}
+
+double EvtVubBLNP::v(double w) {
+
+ double v1 = 3*lambda2/mupisq*(Lbar - w)*Shat(w, gvars);
+ double myf = myfunction(w, Lbar, moment2);
+ double myBIK = myfunctionBIK(w, Lbar, moment2);
+ double answer = v1;
+
+ if (isubl == 1) answer = v1;
+ if (isubl == 3) answer = v1 - myf;
+ if (isubl == 4) answer = v1 + myf;
+ if (isubl == 5) answer = v1 - myBIK;
+ if (isubl == 6) answer = v1 + myBIK;
+
+ return answer;
+}
+
+double EvtVubBLNP::myfunction(double w, double Lbar, double mom2) {
+
+ double bval = 5.0;
+ double x = w/Lbar;
+ double factor = 0.5*mom2*pow(bval/Lbar, 3);
+ double answer = factor*exp(-bval*x)*(1 - 2*bval*x + 0.5*bval*bval*x*x);
+ return answer;
+
+}
+
+double EvtVubBLNP::myfunctionBIK(double w, double Lbar, double mom2) {
+
+ double aval = 10.0;
+ double normBIK = (4 - M_PI)*M_PI*M_PI/8/(2-M_PI)/aval + 1;
+ double z = 3*M_PI*w/8/Lbar;
+ double q = M_PI*M_PI*2*pow(M_PI*aval, 0.5)*exp(-aval*z*z)/(4*M_PI - 8)*(1 - 2*pow(aval/M_PI, 0.5)*z) + 8/pow(1+z*z, 4)*(z*log(z) + 0.5*z*(1+z*z) - M_PI/4*(1-z*z));
+ double answer = q/normBIK;
+ return answer;
+
+}
+
+double EvtVubBLNP::dU1nlo(double muh, double mui) {
+
+ double ai = alphas(mui, gvars);
+ double ah = alphas(muh, gvars);
+
+ double q1 = (ah - ai)/(4*M_PI*beta0);
+ double q2 = log(mb/muh)*Gamma1 + gp1;
+ double q3 = 4*beta1*(log(mb/muh)*Gamma0 + gp0) + Gamma2*(1-ai/ah);
+ double q4 = beta1*beta1*Gamma0*(-1.0 + ai/ah)/(4*pow(beta0,3));
+ double q5 = -beta2*Gamma0*(1.0 + ai/ah) + beta1*Gamma1*(3 - ai/ah);
+ double q6 = beta1*beta1*Gamma0*(ah - ai)/beta0 - beta2*Gamma0*ah + beta1*Gamma1*ai;
+
+ double answer = q1*(q2 - q3/4/beta0 + q4 + q5/(4*beta0*beta0)) + 1/(8*M_PI*beta0*beta0*beta0)*log(ai/ah)*q6;
+ return answer;
+}
+
+double EvtVubBLNP::U1lo(double muh, double mui) {
+ double epsilon = 0.0;
+ double answer = pow(mb/muh, -2*aGamma(muh, mui, epsilon))*exp(2*Sfun(muh, mui, epsilon) - 2*agp(muh, mui, epsilon));
+ return answer;
+}
+
+double EvtVubBLNP::Sfun(double mu1, double mu2, double epsilon) {
+ double a1 = alphas(mu1, gvars)/4/M_PI;
+ double a2 = alphas(mu2, gvars)/alphas(mu1, gvars);
+
+ double answer = S0(a1,a2) + S1(a1,a2) + epsilon*S2(a1,a2);
+ return answer;
+
+}
+
+double EvtVubBLNP::S0(double a1, double r) {
+ double answer = -Gamma0/(4.0*beta0*beta0*a1)*(-1.0 + 1.0/r + log(r));
+ return answer;
+}
+
+double EvtVubBLNP::S1(double a1, double r) {
+ double answer = Gamma0/(4*beta0*beta0)*(0.5*log(r)*log(r)*beta1/beta0 + (Gamma1/Gamma0 - beta1/beta0)*(1 - r + log(r)));
+ return answer;
+}
+
+double EvtVubBLNP::S2(double a1, double r) {
+
+ double w1 = pow(beta1,2)/pow(beta0,2) - beta2/beta0 - beta1*Gamma1/(beta0*Gamma0) + Gamma2/Gamma0;
+ double w2 = pow(beta1,2)/pow(beta0,2) - beta2/beta0;
+ double w3 = beta1*Gamma1/(beta0*Gamma0) - beta2/beta0;
+ double w4 = a1*Gamma0/(4*beta0*beta0);
+
+ double answer = w4*(-0.5*pow(1-r,2)*w1 + w2*(1-r)*log(r) + w3*(1-r+r*log(r)));
+ return answer;
+}
+
+double EvtVubBLNP::aGamma(double mu1, double mu2, double epsilon) {
+ double a1 = alphas(mu1, gvars);
+ double a2 = alphas(mu2, gvars);
+ double answer = Gamma0/(2*beta0)*log(a2/a1) + epsilon*(a2-a1)/(8.0*M_PI)*(Gamma1/beta0 - beta1*Gamma0/(beta0*beta0));
+ return answer;
+}
+
+double EvtVubBLNP::agp(double mu1, double mu2, double epsilon) {
+ double a1 = alphas(mu1, gvars);
+ double a2 = alphas(mu2, gvars);
+ double answer = gp0/(2*beta0)*log(a2/a1) + epsilon*(a2-a1)/(8.0*M_PI)*(gp1/beta0 - beta1*gp0/(beta0*beta0));
+ return answer;
+}
+
+double EvtVubBLNP::alo(double muh, double mui) { return -2.0*aGamma(muh, mui, 0);}
+
+double EvtVubBLNP::anlo(double muh, double mui) { // d/depsilon of aGamma
+
+ double ah = alphas(muh, gvars);
+ double ai = alphas(mui, gvars);
+ double answer = (ah-ai)/(8.0*M_PI)*(Gamma1/beta0 - beta1*Gamma0/(beta0*beta0));
+ return answer;
+}
+
+double EvtVubBLNP::alphas(double mu, const std::vector<double> &vars) {
+
+ // Note: Lambda4 and Lambda5 depend on mbMS = 4.25
+ // So if you change mbMS, then you will have to recalculate them.
+
+ double beta0 = vars[8];
+ double beta1 = vars[9];
+ double beta2 = vars[10];
+
+ double Lambda4 = 0.298791;
+ double lg = 2*log(mu/Lambda4);
+ double answer = 4*M_PI/(beta0*lg)*( 1 - beta1*log(lg)/(beta0*beta0*lg) + beta1*beta1/(beta0*beta0*beta0*beta0*lg*lg)*( (log(lg) - 0.5)*(log(lg) - 0.5) - 5.0/4.0 + beta2*beta0/(beta1*beta1)));
+ return answer;
+
+}
+
+double EvtVubBLNP::PolyLog(double v, double z) {
+
+ if (z >= 1) cout << "Error in EvtVubBLNP: 2nd argument to PolyLog is >= 1." << endl;
+
+ double sum = 0.0;
+ for (int k=1; k<101; k++) {
+ sum = sum + pow(z,k)/pow(k,v);
+ }
+ return sum;
+}
+
+double EvtVubBLNP::Gamma(double z)
+{
+ if (z<=0) return 0;
+
+ double v = lgamma(z);
+ return exp(v);
+}
+
+double EvtVubBLNP::Gamma(double a, double x)
+{
+ double LogGamma;
+ /* if (x<0.0 || a<= 0.0) raise(SIGFPE);*/
+ if(x<0.0) x=0.0;
+ if(a<=0.0)a=1.e-50;
+ LogGamma = lgamma(a);
+ if (x < (a+1.0))
+ return gamser(a,x,LogGamma);
+ else
+ return 1.0-gammcf(a,x,LogGamma);
+}
+
+/* ------------------Incomplete gamma function-----------------*/
+/* ------------------via its series representation-------------*/
+
+double EvtVubBLNP::gamser(double a, double x, double LogGamma)
+{
+ double n;
+ double ap,del,sum;
+
+ ap=a;
+ del=sum=1.0/a;
+ for (n=1;n<ITMAX;n++) {
+ ++ap;
+ del *= x/ap;
+ sum += del;
+ if (fabs(del) < fabs(sum)*EPS) return sum*exp(-x + a*log(x) - LogGamma);
+ }
+ raise(SIGFPE);
+
+ return 0.0;
+}
+
+/* ------------------Incomplete gamma function complement------*/
+/* ------------------via its continued fraction representation-*/
+
+double EvtVubBLNP::gammcf(double a, double x, double LogGamma) {
+
+ double an,b,c,d,del,h;
+ int i;
+
+ b = x + 1.0 -a;
+ c = 1.0/FPMIN;
+ d = 1.0/b;
+ h = d;
+ for (i=1;i<ITMAX;i++) {
+ an = -i*(i-a);
+ b+=2.0;
+ d=an*d+b;
+ if (fabs(d) < FPMIN) d = FPMIN;
+ c = b+an/c;
+ if (fabs(c) < FPMIN) c = FPMIN;
+ d = 1.0/d;
+ del=d*c;
+ h *= del;
+ if (fabs(del-1.0) < EPS) return exp(-x+a*log(x)-LogGamma)*h;
+ }
+ raise(SIGFPE);
+
+ return 0.0;
+
+}
+
+
+double EvtVubBLNP::findBLNPWhat() {
+
+ double ranNum=EvtRandom::Flat();
+ double oOverBins= 1.0/(float(_pf.size()));
+ int nBinsBelow = 0; // largest k such that I[k] is known to be <= rand
+ int nBinsAbove = _pf.size(); // largest k such that I[k] is known to be > rand
+ int middle;
+
+ while (nBinsAbove > nBinsBelow+1) {
+ middle = (nBinsAbove + nBinsBelow+1)>>1;
+ if (ranNum >= _pf[middle]) {
+ nBinsBelow = middle;
+ } else {
+ nBinsAbove = middle;
+ }
+ }
+
+ double bSize = _pf[nBinsAbove] - _pf[nBinsBelow];
+ // binMeasure is always aProbFunc[nBinsBelow],
+
+ if ( bSize == 0 ) {
+ // rand lies right in a bin of measure 0. Simply return the center
+ // of the range of that bin. (Any value between k/N and (k+1)/N is
+ // equally good, in this rare case.)
+ return (nBinsBelow + .5) * oOverBins;
+ }
+
+ double bFract = (ranNum - _pf[nBinsBelow]) / bSize;
+
+ return (nBinsBelow + bFract) * oOverBins;
+
+}
--- /dev/null
+
+//////////////////////////////////////////////////////////////////////
+//
+// Module: EvtVubBLNP.hh
+//
+// Description: Modeled on Riccardo Faccini's EvtVubNLO module
+// author: sheila date: October 2005
+//
+// tripleDiff from BLNP's notebook, based on hep-ph/0504071
+//
+//////////////////////////////////////////////////////////////////
+
+
+#ifndef EVTVUBBLNP_HH
+#define EVTVUBBLNP_HH
+
+#include <vector>
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+class EvtVubBLNP:public EvtDecayIncoherent {
+
+public:
+
+ EvtVubBLNP() {}
+ virtual ~EvtVubBLNP();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *Bmeson);
+
+private:
+
+ // Input parameters
+ double mBB;
+ double lambda2;
+
+ // Shape function parameters
+ double b;
+ double Lambda;
+ double Ecut;
+ double wzero;
+
+ // SF and SSF modes
+ int itype;
+ double dtype;
+ int isubl;
+
+ // flags
+ int flag1;
+ int flag2;
+ int flag3;
+
+ // Quark mass
+ double mb;
+
+ // Matching scales
+ double muh;
+ double mui;
+ double mubar;
+
+ // Perturbative quantities
+ double CF;
+ double CA;
+
+ double beta0;
+ double beta1;
+ double beta2;
+
+ double zeta3;
+
+ double Gamma0;
+ double Gamma1;
+ double Gamma2;
+
+ double gp0;
+ double gp1;
+
+ double Lbar;
+ double mupisq;
+ double moment2;
+
+ int flagpower;
+ int flag2loop;
+
+ int maxLoop;
+ double precision;
+
+ std::vector<double> gvars;
+
+ double rate3(double Pp, double Pl, double Pm);
+ double F1(double Pp, double Pm, double muh, double mui, double mubar, double doneJS, double done1);
+ double F2(double Pp, double Pm, double muh, double mui, double mubar, double done3);
+ double F3(double Pp, double Pm, double muh, double mui, double mubar, double done2);
+ double DoneJS(double Pp, double Pm, double mui);
+ double Done1(double Pp, double Pm, double mui);
+ double Done2(double Pp, double Pm, double mui);
+ double Done3(double Pp, double Pm, double mui);
+ static double IntJS(double what, const std::vector<double> &vars);
+ static double Int1(double what, const std::vector<double> &vars);
+ static double Int2(double what, const std::vector<double> &vars);
+ static double Int3(double what, const std::vector<double> &vars);
+ static double g1(double w, const std::vector<double> &vars);
+ static double g2(double w, const std::vector<double> &vars);
+ static double g3(double w, const std::vector<double> &vars);
+ static double Shat(double w, const std::vector<double> &vars);
+ static double Mzero(double muf, double mu, double mupisq, const std::vector<double> &vars);
+ double wS(double w);
+ double t(double w);
+ double u(double w);
+ double v(double w);
+ double myfunction(double w, double Lbar, double mom2);
+ double myfunctionBIK(double w, double Lbar, double mom2);
+ double dU1nlo(double muh, double mui);
+ double U1lo(double muh, double mui);
+ double Sfun(double mu1, double mu2, double epsilon);
+ double S0(double a1, double r);
+ double S1(double a1, double r);
+ double S2(double a1, double r);
+ double aGamma(double mu1, double mu2, double epsilon);
+ double agp(double mu1, double mu2, double epsilon);
+ double alo(double muh, double mui);
+ double anlo(double muh, double mui); // d/depsilon of aGamma
+ static double alphas(double mu, const std::vector<double> &vars);
+ double PolyLog(double v, double z);
+ static double Gamma(double z);
+ static double Gamma(double a, double x);
+ static double gamser(double a, double x, double LogGamma);
+ static double gammcf(double a, double x, double LogGamma);
+ double findBLNPWhat();
+ std::vector<double> _pf;
+};
+
+#endif
+
--- /dev/null
+
+//////////////////////////////////////////////////////////////////////
+//
+// Module: EvtVubBLNPHybrid.cc
+//
+// Description: Modeled on Riccardo Faccini's EvtVubNLO module
+//
+// tripleDiff from BLNP's notebook (based on BLNP4, hep-ph/0504071)
+//
+//////////////////////////////////////////////////////////////////
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVubBLNPHybrid.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtItgSimpsonIntegrator.hh"
+#include "EvtGenModels/EvtItgPtrFunction.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtPFermi.hh"
+
+// For incomplete gamma function
+#include "math.h"
+#include "signal.h"
+#define ITMAX 100
+#define EPS 3.0e-7
+#define FPMIN 1.0e-30
+
+using std::cout;
+using std::endl;
+
+EvtVubBLNPHybrid::EvtVubBLNPHybrid()
+ : _noHybrid(false), _storeWhat(true),
+ _nbins_mX(0), _nbins_q2(0), _nbins_El(0), _nbins(0),
+ _masscut(0.28), _bins_mX(0), _bins_q2(0), _bins_El(0),
+ _weights(0)
+{}
+
+
+EvtVubBLNPHybrid::~EvtVubBLNPHybrid() {
+ delete [] _bins_mX;
+ delete [] _bins_q2;
+ delete [] _bins_El;
+ delete [] _weights;
+}
+
+std::string EvtVubBLNPHybrid::getName(){
+ return "VUB_BLNPHYBRID";
+}
+
+EvtDecayBase *EvtVubBLNPHybrid::clone() {
+
+ return new EvtVubBLNPHybrid;
+
+}
+
+void EvtVubBLNPHybrid::init() {
+
+ // check that there are at least 3 arguments
+ if (getNArg() < EvtVubBLNPHybrid::nParameters) {
+ report(ERROR,"EvtVubBLNPHybrid") << "EvtVubBLNPHybrid generator expected "
+ << "at least " << EvtVubBLNPHybrid::nParameters
+ << " arguments but found: " << getNArg()
+ << "\nWill terminate execution!"<<endl;
+ ::abort();
+ } else if (getNArg() == EvtVubBLNPHybrid::nParameters) {
+ report(WARNING,"EvtVubBLNPHybrid") << "EvtVubBLNPHybrid: generate B -> Xu l nu events "
+ << "without using the hybrid reweighting."
+ << endl;
+ _noHybrid = true;
+ } else if (getNArg() < EvtVubBLNPHybrid::nParameters+EvtVubBLNPHybrid::nVariables) {
+ report(ERROR,"EvtVubBLNPHybrid") << "EvtVubBLNPHybrid could not read number of bins for "
+ << "all variables used in the reweighting\n"
+ << "Will terminate execution!" << endl;
+ ::abort();
+ }
+
+
+
+ // get parameters (declared in the header file)
+
+ // Input parameters
+ mBB = 5.2792;
+ lambda2 = 0.12;
+
+ // Shape function parameters
+ b = getArg(0);
+ Lambda = getArg(1);
+ Ecut = 1.8;
+ wzero = mBB - 2*Ecut;
+
+ // SF and SSF modes
+ itype = (int)getArg(5);
+ dtype = getArg(5);
+ isubl = (int)getArg(6);
+
+ // flags
+ flag1 = (int)getArg(7);
+ flag2 = (int)getArg(8);
+ flag3 = (int)getArg(9);
+
+ // Quark mass
+ mb = 4.61;
+
+
+ // hidden parameter what and SF stuff
+ const double xlow = 0;
+ const double xhigh = mBB;
+ const int aSize = 10000;
+ EvtPFermi pFermi(Lambda,b);
+ // pf is the cumulative distribution normalized to 1.
+ _pf.resize(aSize);
+ for(int i=0;i<aSize;i++){
+ double what = xlow + (double)(i+0.5)/((double)aSize)*(xhigh-xlow);
+ if ( i== 0 )
+ _pf[i] = pFermi.getSFBLNP(what);
+ else
+ _pf[i] = _pf[i-1] + pFermi.getSFBLNP(what);
+ }
+ for (size_t i=0; i<_pf.size(); i++) {
+ _pf[i]/=_pf[_pf.size()-1];
+ }
+
+
+
+ // Matching scales
+ muh = mBB*getArg(2); // 0.5
+ mui = getArg(3); // 1.5
+ mubar = getArg(4); // 1.5
+
+ // Perturbative quantities
+ CF = 4.0/3.0;
+ CA = 3.0;
+ double nf = 4.0;
+
+ beta0 = 11.0/3.0*CA - 2.0/3.0*nf;
+ beta1 = 34.0/3.0*CA*CA - 10.0/3.0*CA*nf - 2.0*CF*nf;
+ beta2 = 2857.0/54.0*CA*CA*CA + (CF*CF - 205.0/18.0*CF*CA - 1415.0/54.0*CA*CA)*nf + (11.0/9.0*CF + 79.0/54.0*CA)*nf*nf;
+
+ zeta3 = 1.0 + 1/8.0 + 1/27.0 + 1/64.0;
+
+ Gamma0 = 4*CF;
+ Gamma1 = CF*( (268.0/9.0 - 4.0*M_PI*M_PI/3.0)*CA - 40.0/9.0*nf);
+ Gamma2 = 16*CF*( (245.0/24.0 - 67.0/54.0*M_PI*M_PI + + 11.0/180.0*pow(M_PI,4) + 11.0/6.0*zeta3)*CA*CA* + (-209.0/108.0 + 5.0/27.0*M_PI*M_PI - 7.0/3.0*zeta3)*CA*nf + (-55.0/24.0 + 2*zeta3)*CF*nf - nf*nf/27.0);
+
+ gp0 = -5.0*CF;
+ gp1 = -8.0*CF*( (3.0/16.0 - M_PI*M_PI/4.0 + 3*zeta3)*CF + (1549.0/432.0 + 7.0/48.0*M_PI*M_PI - 11.0/4.0*zeta3)*CA - (125.0/216.0 + M_PI*M_PI/24.0)*nf );
+
+ // Lbar and mupisq
+
+ Lbar = Lambda; // all models
+ mupisq = 3*Lambda*Lambda/b;
+ if (itype == 1) mupisq = 3*Lambda*Lambda/b;
+ if (itype == 2) mupisq = 3*Lambda*Lambda*(Gamma(1+0.5*b)*Gamma(0.5*b)/pow( Gamma(0.5 + 0.5*b), 2) - 1);
+
+ // moment2 for SSFs
+ moment2 = pow(0.3,3);
+
+ // inputs for total rate (T for Total); use BLNP notebook defaults
+ flagpower = 1;
+ flag2loop = 1;
+
+ // stuff for the integrator
+ maxLoop = 20;
+ //precision = 1.0e-3;
+ precision = 2.0e-2;
+
+ // vector of global variables, to pass to static functions (which can't access globals);
+ gvars.push_back(0.0); // 0
+ gvars.push_back(0.0); // 1
+ gvars.push_back(mui); // 2
+ gvars.push_back(b); // 3
+ gvars.push_back(Lambda); // 4
+ gvars.push_back(mBB); // 5
+ gvars.push_back(mb); // 6
+ gvars.push_back(wzero); // 7
+ gvars.push_back(beta0); // 8
+ gvars.push_back(beta1); // 9
+ gvars.push_back(beta2); // 10
+ gvars.push_back(dtype); // 11
+
+ // check that there are 3 daughters and 10 arguments
+ checkNDaug(3);
+ // A. Volk: check for number of arguments is not necessary
+ //checkNArg(10);
+
+ if (_noHybrid) return; // Without hybrid weighting, nothing else to do
+
+ _nbins_mX = abs((int)getArg(10));
+ _nbins_q2 = abs((int)getArg(11));
+ _nbins_El = abs((int)getArg(12));
+
+ int nextArg = EvtVubBLNPHybrid::nParameters + EvtVubBLNPHybrid::nVariables;
+
+ _nbins = _nbins_mX*_nbins_q2*_nbins_El; // Binning of weight table
+
+ int expectArgs = nextArg + _nbins_mX +_nbins_q2 + _nbins_El + _nbins;
+
+ if (getNArg() < expectArgs) {
+ report(ERROR,"EvtVubBLNPHybrid")
+ << " finds " << getNArg() << " arguments, expected " << expectArgs
+ << ". Something is wrong with the tables of weights or thresholds."
+ << "\nWill terminate execution!" << endl;
+ ::abort();
+ }
+
+ // read bin boundaries from decay.dec
+ int i;
+
+ _bins_mX = new double[_nbins_mX];
+ for (i = 0; i < _nbins_mX; i++,nextArg++) {
+ _bins_mX[i] = getArg(nextArg);
+ }
+ _masscut = _bins_mX[0];
+
+ _bins_q2 = new double[_nbins_q2];
+ for (i = 0; i < _nbins_q2; i++,nextArg++) {
+ _bins_q2[i] = getArg(nextArg);
+ }
+
+ _bins_El = new double[_nbins_El];
+ for (i = 0; i < _nbins_El; i++,nextArg++) {
+ _bins_El[i] = getArg(nextArg);
+ }
+
+ // read in weights (and rescale to range 0..1)
+ readWeights(nextArg);
+
+}
+
+void EvtVubBLNPHybrid::initProbMax() {
+ noProbMax();
+}
+
+void EvtVubBLNPHybrid::decay(EvtParticle *Bmeson) {
+
+ int j;
+
+ EvtParticle *xuhad, *lepton, *neutrino;
+ EvtVector4R p4;
+ double Pp, Pm, Pl, pdf, EX, PX, sh, qsq, El, ml, mpi, ratemax;
+
+ double xhigh, xlow, what;
+ double mX;
+
+
+ bool rew(true);
+ while(rew){
+
+ Bmeson->initializePhaseSpace(getNDaug(), getDaugs());
+
+ xuhad = Bmeson->getDaug(0);
+ lepton = Bmeson->getDaug(1);
+ neutrino = Bmeson ->getDaug(2);
+
+ mBB = Bmeson->mass();
+ ml = lepton->mass();
+
+
+
+ // get SF value
+ xlow = 0;
+ xhigh = mBB;
+ // the case for alphas = 0 is not considered
+ what = 2*xhigh;
+ while( what > xhigh || what < xlow ) {
+ what = findBLNPWhat();
+ what = xlow + what*(xhigh-xlow);
+ }
+
+
+
+ bool tryit = true;
+
+ while (tryit) {
+
+ // generate pp between 0 and
+ // Flat(min, max) gives R(max - min) + min, where R = random btwn 0 and 1
+
+ Pp = EvtRandom::Flat(0, mBB); // P+ = EX - |PX|
+ Pl = EvtRandom::Flat(0, mBB); // mBB - 2El
+ Pm = EvtRandom::Flat(0, mBB); // P- = EX + |PX|
+
+ sh = Pm*Pp;
+ EX = 0.5*(Pm + Pp);
+ PX = 0.5*(Pm - Pp);
+ qsq = (mBB - Pp)*(mBB - Pm);
+ El = 0.5*(mBB - Pl);
+
+ // Need maximum rate. Waiting for Mr. Paz to give it to me.
+ // Meanwhile, use this.
+ ratemax = 3.0; // From trial and error - most events below 3.0
+
+ // kinematic bounds (Eq. 2)
+ mpi = 0.14;
+ if ((Pp > 0)&&(Pp <= Pl)&&(Pl <= Pm)&&(Pm < mBB)&&(El > ml)&&(sh > 4*mpi*mpi)) {
+
+ // Probability of pass proportional to PDF
+ pdf = rate3(Pp, Pl, Pm);
+ double testRan = EvtRandom::Flat(0., ratemax);
+ if (pdf >= testRan) tryit = false;
+ }
+ }
+
+ // compute all kinematic variables needed for reweighting
+ mX = sqrt(sh);
+
+ // Reweighting in bins of mX, q2, El
+ if (_nbins>0) {
+ double xran1 = EvtRandom::Flat();
+ double w = 1.0;
+ if (!_noHybrid) w = getWeight(mX, qsq, El);
+ if ( w >= xran1 ) rew = false;
+ }
+ else {
+ rew = false;
+ }
+ }
+ // o.k. we have the three kineamtic variables
+ // now calculate a flat cos Theta_H [-1,1] distribution of the
+ // hadron flight direction w.r.t the B flight direction
+ // because the B is a scalar and should decay isotropic.
+ // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
+ // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
+ // W flight direction.
+
+ double ctH = EvtRandom::Flat(-1,1);
+ double phH = EvtRandom::Flat(0,2*M_PI);
+ double phL = EvtRandom::Flat(0,2*M_PI);
+
+ // now compute the four vectors in the B Meson restframe
+
+ double ptmp,sttmp;
+ // calculate the hadron 4 vector in the B Meson restframe
+
+ sttmp = sqrt(1-ctH*ctH);
+ ptmp = sqrt(EX*EX-sh);
+ double pHB[4] = {EX,ptmp*sttmp*cos(phH),ptmp*sttmp*sin(phH),ptmp*ctH};
+ p4.set(pHB[0],pHB[1],pHB[2],pHB[3]);
+ xuhad->init( getDaug(0), p4);
+
+
+ if (_storeWhat ) {
+ // cludge to store the hidden parameter what with the decay;
+ // the lifetime of the Xu is abused for this purpose.
+ // tau = 1 ps corresponds to ctau = 0.3 mm -> in order to
+ // stay well below BaBars sensitivity we take what/(10000 GeV).
+ // To extract what back from the StdHepTrk its necessary to get
+ // delta_ctau = Xu->decayVtx()->point().distanceTo(XuDaughter->decayVtx()->point());
+ //
+ // what = delta_ctau * 100000 * Mass_Xu/Momentum_Xu
+ //
+ xuhad->setLifetime(what/10000.);
+ }
+
+
+ // calculate the W 4 vector in the B Meson restrframe
+
+ double apWB = ptmp;
+ double pWB[4] = {mBB-EX,-pHB[1],-pHB[2],-pHB[3]};
+
+ // first go in the W restframe and calculate the lepton and
+ // the neutrino in the W frame
+
+ double mW2 = mBB*mBB + sh - 2*mBB*EX;
+ double beta = ptmp/pWB[0];
+ double gamma = pWB[0]/sqrt(mW2);
+
+ double pLW[4];
+
+ ptmp = (mW2-ml*ml)/2/sqrt(mW2);
+ pLW[0] = sqrt(ml*ml + ptmp*ptmp);
+
+ double ctL = (El - gamma*pLW[0])/beta/gamma/ptmp;
+ if ( ctL < -1 ) ctL = -1;
+ if ( ctL > 1 ) ctL = 1;
+ sttmp = sqrt(1-ctL*ctL);
+
+ // eX' = eZ x eW
+ double xW[3] = {-pWB[2],pWB[1],0};
+ // eZ' = eW
+ double zW[3] = {pWB[1]/apWB,pWB[2]/apWB,pWB[3]/apWB};
+
+ double lx = sqrt(xW[0]*xW[0]+xW[1]*xW[1]);
+ for (j=0;j<2;j++)
+ xW[j] /= lx;
+
+ // eY' = eZ' x eX'
+ double yW[3] = {-pWB[1]*pWB[3],-pWB[2]*pWB[3],pWB[1]*pWB[1]+pWB[2]*pWB[2]};
+ double ly = sqrt(yW[0]*yW[0]+yW[1]*yW[1]+yW[2]*yW[2]);
+ for (j=0;j<3;j++)
+ yW[j] /= ly;
+
+ // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
+ // + sin(Theta) * sin(Phi) * eY'
+ // + cos(Theta) * eZ')
+ for (j=0;j<3;j++)
+ pLW[j+1] = sttmp*cos(phL)*ptmp*xW[j]
+ + sttmp*sin(phL)*ptmp*yW[j]
+ + ctL *ptmp*zW[j];
+
+ double apLW = ptmp;
+
+ // boost them back in the B Meson restframe
+
+ double appLB = beta*gamma*pLW[0] + gamma*ctL*apLW;
+
+ ptmp = sqrt(El*El-ml*ml);
+ double ctLL = appLB/ptmp;
+
+ if ( ctLL > 1 ) ctLL = 1;
+ if ( ctLL < -1 ) ctLL = -1;
+
+ double pLB[4] = {El,0,0,0};
+ double pNB[4] = {pWB[0]-El,0,0,0};
+
+ for (j=1;j<4;j++) {
+ pLB[j] = pLW[j] + (ctLL*ptmp - ctL*apLW)/apWB*pWB[j];
+ pNB[j] = pWB[j] - pLB[j];
+ }
+
+ p4.set(pLB[0],pLB[1],pLB[2],pLB[3]);
+ lepton->init( getDaug(1), p4);
+
+ p4.set(pNB[0],pNB[1],pNB[2],pNB[3]);
+ neutrino->init( getDaug(2), p4);
+
+ return ;
+
+}
+
+double EvtVubBLNPHybrid::rate3(double Pp, double Pl, double Pm) {
+
+ // rate3 in units of GF^2*Vub^2/pi^3
+
+ double factor = 1.0/16*(mBB-Pp)*U1lo(muh, mui)*pow( (Pm - Pp)/(mBB - Pp), alo(muh, mui));
+
+ double doneJS = DoneJS(Pp, Pm, mui);
+ double done1 = Done1(Pp, Pm, mui);
+ double done2 = Done2(Pp, Pm, mui);
+ double done3 = Done3(Pp, Pm, mui);
+
+ // The EvtSimpsonIntegrator returns zero for bad integrals.
+ // So if any of the integrals are zero (ie bad), return zero.
+ // This will cause pdf = 0, so the event will not pass.
+ // I hope this will not introduce a bias.
+ if (doneJS*done1*done2*done3 == 0.0) {
+ //cout << "Integral failed: (Pp, Pm, Pl) = (" << Pp << ", " << Pm << ", " << Pl << ")" << endl;
+ return 0.0;
+ }
+ // if (doneJS*done1*done2*done3 != 0.0) {
+ // cout << "Integral OK: (Pp, Pm, Pl) = (" << Pp << ", " << Pm << ", " << Pl << ")" << endl;
+ //}
+
+ double f1 = F1(Pp, Pm, muh, mui, mubar, doneJS, done1);
+ double f2 = F2(Pp, Pm, muh, mui, mubar, done3);
+ double f3 = F3(Pp, Pm, muh, mui, mubar, done2);
+ double answer = factor*( (mBB + Pl - Pp - Pm)*(Pm - Pl)*f1 + 2*(Pl - Pp)*(Pm - Pl)*f2 + (mBB - Pm)*(Pm - Pp)*f3 );
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::F1(double Pp, double Pm, double muh, double mui, double mubar, double doneJS, double done1) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double y = (Pm - Pp)/(mBB - Pp);
+ double ah = CF*alphas(muh, vars)/4/M_PI;
+ double ai = CF*alphas(mui, vars)/4/M_PI;
+ double abar = CF*alphas(mubar, vars)/4/M_PI;
+ double lambda1 = -mupisq;
+
+ double t1 = -4*ai/(Pp - Lbar)*(2*log((Pp - Lbar)/mui) + 1);
+ double t2 = 1 + dU1nlo(muh, mui) + anlo(muh, mui)*log(y);
+ double t3 = -4.0*pow(log(y*mb/muh),2) + 10.0*log(y*mb/muh) - 4.0*log(y) - 2.0*log(y)/(1-y) - 4.0*PolyLog(2, 1-y) - M_PI*M_PI/6.0 - 12.0;
+ double t4 = 2*pow( log(y*mb*Pp/(mui*mui)), 2) - 3*log(y*mb*Pp/(mui*mui)) + 7 - M_PI*M_PI;
+
+ double t5 = -wS(Pp) + 2*t(Pp) + (1.0/y - 1.0)*(u(Pp) - v(Pp));
+ double t6 = -(lambda1 + 3.0*lambda2)/3.0 + 1.0/pow(y,2)*(4.0/3.0*lambda1 - 2.0*lambda2);
+
+ double shapePp = Shat(Pp, vars);
+
+ double answer = (t2 + ah*t3 + ai*t4)*shapePp + ai*doneJS + 1/(mBB - Pp)*(flag2*abar*done1 + flag1*t5) + 1/pow(mBB - Pp, 2)*flag3*shapePp*t6;
+ if (Pp > Lbar + mui/exp(0.5)) answer = answer + t1;
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::F2(double Pp, double Pm, double muh, double mui, double mubar, double done3) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double y = (Pm - Pp)/(mBB - Pp);
+ double lambda1 = -mupisq;
+ double ah = CF*alphas(muh, vars)/4/M_PI;
+ double abar = CF*alphas(mubar, vars)/4/M_PI;
+
+ double t6 = -wS(Pp) - 2*t(Pp) + 1.0/y*(t(Pp) + v(Pp));
+ double t7 = 1/pow(y,2)*(2.0/3.0*lambda1 + 4.0*lambda2) - 1/y*(2.0/3.0*lambda1 + 3.0/2.0*lambda2);
+
+ double shapePp = Shat(Pp, vars);
+
+ double answer = ah*log(y)/(1-y)*shapePp + 1/(mBB - Pp)*(flag2*abar*0.5*done3 + flag1/y*t6) + 1.0/pow(mBB - Pp,2)*flag3*shapePp*t7;
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::F3(double Pp, double Pm, double muh, double mui, double mubar, double done2) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double y = (Pm - Pp)/(mBB - Pp);
+ double lambda1 = -mupisq;
+ double abar = CF*alphas(mubar, vars)/4/M_PI;
+
+ double t7 = 1.0/pow(y,2)*(-2.0/3.0*lambda1 + lambda2);
+
+ double shapePp = Shat(Pp, vars);
+
+ double answer = 1.0/(Pm - Pp)*flag2*0.5*y*abar*done2 + 1.0/pow(mBB-Pp,2)*flag3*shapePp*t7;
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::DoneJS(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&IntJS, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNPHybrid::Done1(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&Int1, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNPHybrid::Done2(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&Int2, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNPHybrid::Done3(double Pp, double Pm, double mui) {
+
+ std::vector<double> vars(12);
+ vars[0] = Pp;
+ vars[1] = Pm;
+ for (int j=2;j<12;j++) {vars[j] = gvars[j];}
+
+ double lowerlim = 0.001*Pp;
+ double upperlim = (1.0-0.001)*Pp;
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&Int3, lowerlim, upperlim, vars);
+ EvtItgSimpsonIntegrator *integ = new EvtItgSimpsonIntegrator(*func, precision, maxLoop);
+ double myintegral = integ->evaluate(lowerlim, upperlim);
+ delete integ;
+ delete func;
+ return myintegral;
+
+}
+
+double EvtVubBLNPHybrid::Int1(double what, const std::vector<double> &vars) {
+ return Shat(what, vars)*g1(what, vars);
+}
+
+double EvtVubBLNPHybrid::Int2(double what, const std::vector<double> &vars) {
+ return Shat(what, vars)*g2(what, vars);
+}
+
+double EvtVubBLNPHybrid::Int3(double what, const std::vector<double> &vars) {
+ return Shat(what, vars)*g3(what, vars);
+}
+
+double EvtVubBLNPHybrid::IntJS(double what, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mui = vars[2];
+ double mBB = vars[5];
+ double mb = vars[6];
+ double y = (Pm - Pp)/(mBB - Pp);
+
+ return 1/(Pp-what)*(Shat(what, vars) - Shat(Pp, vars))*(4*log(y*mb*(Pp-what)/(mui*mui)) - 3);
+}
+
+double EvtVubBLNPHybrid::g1(double w, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mBB = vars[5];
+ double y = (Pm - Pp)/(mBB - Pp);
+ double x = (Pp - w)/(mBB - Pp);
+
+ double q1 = (1+x)*(1+x)*y*(x+y);
+ double q2 = y*(-9 + 10*y) + x*x*(-12.0 + 13.0*y) + 2*x*(-8.0 + 6*y + 3*y*y);
+ double q3 = 4/x*log(y + y/x);
+ double q4 = 3.0*pow(x,4)*(-2.0 + y) - 2*pow(y,3) - 4*pow(x,3)*(2.0+y) - 2*x*y*y*(4+y) - x*x*y*(12 + 4*y + y*y);
+ double q5 = log(1 + y/x);
+
+ double answer = q2/q1 - q3 - 2*q4*q5/(q1*y*x);
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::g2(double w, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mBB = vars[5];
+ double y = (Pm - Pp)/(mBB - Pp);
+ double x = (Pp - w)/(mBB - Pp);
+
+ double q1 = (1+x)*(1+x)*pow(y,3)*(x+y);
+ double q2 = 10.0*pow(x,4) + y*y + 3.0*pow(x,2)*y*(10.0+y) + pow(x,3)*(12.0+19.0*y) + x*y*(8.0 + 4.0*y + y*y);
+ double q3 = 5*pow(x,4) + 2.0*y*y + 6.0*pow(x,3)*(1.0+2.0*y) + 4.0*x*y*(1+2.0*y) + x*x*y*(18.0+5.0*y);
+ double q4 = log(1 + y/x);
+
+ double answer = 2.0/q1*( y*q2 - 2*x*q3*q4);
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::g3(double w, const std::vector<double> &vars) {
+
+ double Pp = vars[0];
+ double Pm = vars[1];
+ double mBB = vars[5];
+ double y = (Pm - Pp)/(mBB - Pp);
+ double x = (Pp - w)/(mBB - Pp);
+
+ double q1 = (1+x)*(1+x)*pow(y,3)*(x+y);
+ double q2 = 2.0*pow(y,3)*(-11.0+2.0*y) - 10.0*pow(x,4)*(6 - 6*y + y*y) + x*y*y*(-94.0 + 29.0*y + 2.0*y*y) + 2.0*x*x*y*(-72.0 +18.0*y + 13.0*y*y) - x*x*x*(72.0 + 42.0*y - 70.0*y*y + 3.0*y*y*y);
+ double q3 = -6.0*x*(-5.0+y)*pow(y,3) + 4*pow(y,4) + 5*pow(x,5)*(6-6*y + y*y) - 4*x*x*y*y*(-20.0 + 6*y + y*y) + pow(x,3)*y*(90.0 - 10.0*y - 28.0*y*y + y*y*y) + pow(x,4)*(36.0 + 36.0*y - 50.0*y*y + 4*y*y*y);
+ double q4 = log(1 + y/x);
+
+ double answer = q2/q1 + 2/q1/y*q3*q4;
+ return answer;
+
+}
+
+
+double EvtVubBLNPHybrid::Shat(double w, const std::vector<double> &vars) {
+
+ double mui = vars[2];
+ double b = vars[3];
+ double Lambda = vars[4];
+ double wzero = vars[7];
+ int itype = (int)vars[11];
+
+ double norm = 0.0;
+ double shape = 0.0;
+
+ if (itype == 1) {
+
+ double Lambar = (Lambda/b)*(Gamma(1+b)-Gamma(1+b,b*wzero/Lambda))/(Gamma(b) - Gamma(b, b*wzero/Lambda));
+ double muf = wzero - Lambar;
+ double mupisq = 3*pow(Lambda,2)/pow(b,2)*(Gamma(2+b) - Gamma(2+b, b*wzero/Lambda))/(Gamma(b) - Gamma(b, b*wzero/Lambda)) - 3*Lambar*Lambar;
+ norm = Mzero(muf, mui, mupisq, vars)*Gamma(b)/(Gamma(b) - Gamma(b, b*wzero/Lambda));
+ shape = pow(b,b)/Lambda/Gamma(b)*pow(w/Lambda, b-1)*exp(-b*w/Lambda);
+ }
+
+ if (itype == 2) {
+ double dcoef = pow( Gamma(0.5*(1+b))/Gamma(0.5*b), 2);
+ double t1 = wzero*wzero*dcoef/(Lambda*Lambda);
+ double Lambar = Lambda*(Gamma(0.5*(1+b)) - Gamma(0.5*(1+b),t1))/pow(dcoef, 0.5)/(Gamma(0.5*b) - Gamma(0.5*b, t1));
+ double muf = wzero - Lambar;
+ double mupisq = 3*Lambda*Lambda*( Gamma(1+0.5*b) - Gamma(1+0.5*b, t1))/dcoef/(Gamma(0.5*b) - Gamma(0.5*b, t1)) - 3*Lambar*Lambar;
+ norm = Mzero(muf, mui, mupisq, vars)*Gamma(0.5*b)/(Gamma(0.5*b) - Gamma(0.5*b, wzero*wzero*dcoef/(Lambda*Lambda)));
+ shape = 2*pow(dcoef, 0.5*b)/Lambda/Gamma(0.5*b)*pow(w/Lambda, b-1)*exp(-dcoef*w*w/(Lambda*Lambda));
+ }
+
+ double answer = norm*shape;
+ return answer;
+}
+
+double EvtVubBLNPHybrid::Mzero(double muf, double mu, double mupisq, const std::vector<double> &vars) {
+
+ double CF = 4.0/3.0;
+ double amu = CF*alphas(mu, vars)/M_PI;
+ double answer = 1 - amu*( pow(log(muf/mu), 2) + log(muf/mu) + M_PI*M_PI/24.0) + amu*(log(muf/mu) - 0.5)*mupisq/(3*muf*muf);
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::wS(double w) {
+
+ double answer = (Lbar - w)*Shat(w, gvars);
+ return answer;
+}
+
+double EvtVubBLNPHybrid::t(double w) {
+
+ double t1 = -3*lambda2/mupisq*(Lbar - w)*Shat(w, gvars);
+ double myf = myfunction(w, Lbar, moment2);
+ double myBIK = myfunctionBIK(w, Lbar, moment2);
+ double answer = t1;
+
+ if (isubl == 1) answer = t1;
+ if (isubl == 3) answer = t1 - myf;
+ if (isubl == 4) answer = t1 + myf;
+ if (isubl == 5) answer = t1 - myBIK;
+ if (isubl == 6) answer = t1 + myBIK;
+
+ return answer;
+}
+
+double EvtVubBLNPHybrid::u(double w) {
+
+ double u1 = -2*(Lbar - w)*Shat(w, gvars);
+ double myf = myfunction(w, Lbar, moment2);
+ double myBIK = myfunctionBIK(w, Lbar, moment2);
+ double answer = u1;
+
+ if (isubl == 1) answer = u1;
+ if (isubl == 3) answer = u1 + myf;
+ if (isubl == 4) answer = u1 - myf;
+ if (isubl == 5) answer = u1 + myBIK;
+ if (isubl == 6) answer = u1 - myBIK;
+
+ return answer;
+}
+
+double EvtVubBLNPHybrid::v(double w) {
+
+ double v1 = 3*lambda2/mupisq*(Lbar - w)*Shat(w, gvars);
+ double myf = myfunction(w, Lbar, moment2);
+ double myBIK = myfunctionBIK(w, Lbar, moment2);
+ double answer = v1;
+
+ if (isubl == 1) answer = v1;
+ if (isubl == 3) answer = v1 - myf;
+ if (isubl == 4) answer = v1 + myf;
+ if (isubl == 5) answer = v1 - myBIK;
+ if (isubl == 6) answer = v1 + myBIK;
+
+ return answer;
+}
+
+double EvtVubBLNPHybrid::myfunction(double w, double Lbar, double mom2) {
+
+ double bval = 5.0;
+ double x = w/Lbar;
+ double factor = 0.5*mom2*pow(bval/Lbar, 3);
+ double answer = factor*exp(-bval*x)*(1 - 2*bval*x + 0.5*bval*bval*x*x);
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::myfunctionBIK(double w, double Lbar, double mom2) {
+
+ double aval = 10.0;
+ double normBIK = (4 - M_PI)*M_PI*M_PI/8/(2-M_PI)/aval + 1;
+ double z = 3*M_PI*w/8/Lbar;
+ double q = M_PI*M_PI*2*pow(M_PI*aval, 0.5)*exp(-aval*z*z)/(4*M_PI - 8)*(1 - 2*pow(aval/M_PI, 0.5)*z) + 8/pow(1+z*z, 4)*(z*log(z) + 0.5*z*(1+z*z) - M_PI/4*(1-z*z));
+ double answer = q/normBIK;
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::dU1nlo(double muh, double mui) {
+
+ double ai = alphas(mui, gvars);
+ double ah = alphas(muh, gvars);
+
+ double q1 = (ah - ai)/(4*M_PI*beta0);
+ double q2 = log(mb/muh)*Gamma1 + gp1;
+ double q3 = 4*beta1*(log(mb/muh)*Gamma0 + gp0) + Gamma2*(1-ai/ah);
+ double q4 = beta1*beta1*Gamma0*(-1.0 + ai/ah)/(4*pow(beta0,3));
+ double q5 = -beta2*Gamma0*(1.0 + ai/ah) + beta1*Gamma1*(3 - ai/ah);
+ double q6 = beta1*beta1*Gamma0*(ah - ai)/beta0 - beta2*Gamma0*ah + beta1*Gamma1*ai;
+
+ double answer = q1*(q2 - q3/4/beta0 + q4 + q5/(4*beta0*beta0)) + 1/(8*M_PI*beta0*beta0*beta0)*log(ai/ah)*q6;
+ return answer;
+}
+
+double EvtVubBLNPHybrid::U1lo(double muh, double mui) {
+ double epsilon = 0.0;
+ double answer = pow(mb/muh, -2*aGamma(muh, mui, epsilon))*exp(2*Sfun(muh, mui, epsilon) - 2*agp(muh, mui, epsilon));
+ return answer;
+}
+
+double EvtVubBLNPHybrid::Sfun(double mu1, double mu2, double epsilon) {
+ double a1 = alphas(mu1, gvars)/4/M_PI;
+ double a2 = alphas(mu2, gvars)/alphas(mu1, gvars);
+
+ double answer = S0(a1,a2) + S1(a1,a2) + epsilon*S2(a1,a2);
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::S0(double a1, double r) {
+ double answer = -Gamma0/(4.0*beta0*beta0*a1)*(-1.0 + 1.0/r + log(r));
+ return answer;
+}
+
+double EvtVubBLNPHybrid::S1(double a1, double r) {
+ double answer = Gamma0/(4*beta0*beta0)*(0.5*log(r)*log(r)*beta1/beta0 + (Gamma1/Gamma0 - beta1/beta0)*(1 - r + log(r)));
+ return answer;
+}
+
+double EvtVubBLNPHybrid::S2(double a1, double r) {
+
+ double w1 = pow(beta1,2)/pow(beta0,2) - beta2/beta0 - beta1*Gamma1/(beta0*Gamma0) + Gamma2/Gamma0;
+ double w2 = pow(beta1,2)/pow(beta0,2) - beta2/beta0;
+ double w3 = beta1*Gamma1/(beta0*Gamma0) - beta2/beta0;
+ double w4 = a1*Gamma0/(4*beta0*beta0);
+
+ double answer = w4*(-0.5*pow(1-r,2)*w1 + w2*(1-r)*log(r) + w3*(1-r+r*log(r)));
+ return answer;
+}
+
+double EvtVubBLNPHybrid::aGamma(double mu1, double mu2, double epsilon) {
+ double a1 = alphas(mu1, gvars);
+ double a2 = alphas(mu2, gvars);
+ double answer = Gamma0/(2*beta0)*log(a2/a1) + epsilon*(a2-a1)/(8.0*M_PI)*(Gamma1/beta0 - beta1*Gamma0/(beta0*beta0));
+ return answer;
+}
+
+double EvtVubBLNPHybrid::agp(double mu1, double mu2, double epsilon) {
+ double a1 = alphas(mu1, gvars);
+ double a2 = alphas(mu2, gvars);
+ double answer = gp0/(2*beta0)*log(a2/a1) + epsilon*(a2-a1)/(8.0*M_PI)*(gp1/beta0 - beta1*gp0/(beta0*beta0));
+ return answer;
+}
+
+double EvtVubBLNPHybrid::alo(double muh, double mui) { return -2.0*aGamma(muh, mui, 0);}
+
+double EvtVubBLNPHybrid::anlo(double muh, double mui) { // d/depsilon of aGamma
+
+ double ah = alphas(muh, gvars);
+ double ai = alphas(mui, gvars);
+ double answer = (ah-ai)/(8.0*M_PI)*(Gamma1/beta0 - beta1*Gamma0/(beta0*beta0));
+ return answer;
+}
+
+double EvtVubBLNPHybrid::alphas(double mu, const std::vector<double> &vars) {
+
+ // Note: Lambda4 and Lambda5 depend on mbMS = 4.25
+ // So if you change mbMS, then you will have to recalculate them.
+
+ double beta0 = vars[8];
+ double beta1 = vars[9];
+ double beta2 = vars[10];
+
+ double Lambda4 = 0.298791;
+ double lg = 2*log(mu/Lambda4);
+ double answer = 4*M_PI/(beta0*lg)*( 1 - beta1*log(lg)/(beta0*beta0*lg) + beta1*beta1/(beta0*beta0*beta0*beta0*lg*lg)*( (log(lg) - 0.5)*(log(lg) - 0.5) - 5.0/4.0 + beta2*beta0/(beta1*beta1)));
+ return answer;
+
+}
+
+double EvtVubBLNPHybrid::PolyLog(double v, double z) {
+
+ if (z >= 1) cout << "Error in EvtVubBLNPHybrid: 2nd argument to PolyLog is >= 1." << endl;
+
+ double sum = 0.0;
+ for (int k=1; k<101; k++) {
+ sum = sum + pow(z,k)/pow(k,v);
+ }
+ return sum;
+}
+
+double EvtVubBLNPHybrid::Gamma(double z)
+{
+ if (z<=0) return 0;
+
+ double v = lgamma(z);
+ return exp(v);
+}
+
+double EvtVubBLNPHybrid::Gamma(double a, double x)
+{
+ double LogGamma;
+ /* if (x<0.0 || a<= 0.0) raise(SIGFPE);*/
+ if(x<0.0) x=0.0;
+ if(a<=0.0)a=1.e-50;
+ LogGamma = lgamma(a);
+ if (x < (a+1.0))
+ return gamser(a,x,LogGamma);
+ else
+ return 1.0-gammcf(a,x,LogGamma);
+}
+
+/* ------------------Incomplete gamma function-----------------*/
+/* ------------------via its series representation-------------*/
+
+double EvtVubBLNPHybrid::gamser(double a, double x, double LogGamma)
+{
+ double n;
+ double ap,del,sum;
+
+ ap=a;
+ del=sum=1.0/a;
+ for (n=1;n<ITMAX;n++) {
+ ++ap;
+ del *= x/ap;
+ sum += del;
+ if (fabs(del) < fabs(sum)*EPS) return sum*exp(-x + a*log(x) - LogGamma);
+ }
+ raise(SIGFPE);
+
+ return 0.0;
+}
+
+/* ------------------Incomplete gamma function complement------*/
+/* ------------------via its continued fraction representation-*/
+
+double EvtVubBLNPHybrid::gammcf(double a, double x, double LogGamma) {
+
+ double an,b,c,d,del,h;
+ int i;
+
+ b = x + 1.0 -a;
+ c = 1.0/FPMIN;
+ d = 1.0/b;
+ h = d;
+ for (i=1;i<ITMAX;i++) {
+ an = -i*(i-a);
+ b+=2.0;
+ d=an*d+b;
+ if (fabs(d) < FPMIN) d = FPMIN;
+ c = b+an/c;
+ if (fabs(c) < FPMIN) c = FPMIN;
+ d = 1.0/d;
+ del=d*c;
+ h *= del;
+ if (fabs(del-1.0) < EPS) return exp(-x+a*log(x)-LogGamma)*h;
+ }
+ raise(SIGFPE);
+
+ return 0.0;
+
+}
+
+
+double EvtVubBLNPHybrid::findBLNPWhat() {
+
+ double ranNum=EvtRandom::Flat();
+ double oOverBins= 1.0/(float(_pf.size()));
+ int nBinsBelow = 0; // largest k such that I[k] is known to be <= rand
+ int nBinsAbove = _pf.size(); // largest k such that I[k] is known to be > rand
+ int middle;
+
+ while (nBinsAbove > nBinsBelow+1) {
+ middle = (nBinsAbove + nBinsBelow+1)>>1;
+ if (ranNum >= _pf[middle]) {
+ nBinsBelow = middle;
+ } else {
+ nBinsAbove = middle;
+ }
+ }
+
+ double bSize = _pf[nBinsAbove] - _pf[nBinsBelow];
+ // binMeasure is always aProbFunc[nBinsBelow],
+
+ if ( bSize == 0 ) {
+ // rand lies right in a bin of measure 0. Simply return the center
+ // of the range of that bin. (Any value between k/N and (k+1)/N is
+ // equally good, in this rare case.)
+ return (nBinsBelow + .5) * oOverBins;
+ }
+
+ double bFract = (ranNum - _pf[nBinsBelow]) / bSize;
+
+ return (nBinsBelow + bFract) * oOverBins;
+
+}
+
+double EvtVubBLNPHybrid::getWeight(double mX, double q2, double El) {
+
+ int ibin_mX = -1;
+ int ibin_q2 = -1;
+ int ibin_El = -1;
+
+ for (int i = 0; i < _nbins_mX; i++) {
+ if (mX >= _bins_mX[i]) ibin_mX = i;
+ }
+ for (int i = 0; i < _nbins_q2; i++) {
+ if (q2 >= _bins_q2[i]) ibin_q2 = i;
+ }
+ for (int i = 0; i < _nbins_El; i++) {
+ if (El >= _bins_El[i]) ibin_El = i;
+ }
+ int ibin = ibin_mX + ibin_q2*_nbins_mX + ibin_El*_nbins_mX*_nbins_q2;
+
+ if ( (ibin_mX < 0) || (ibin_q2 < 0) || (ibin_El < 0) ) {
+ report(ERROR,"EvtVubHybrid") << "Cannot determine hybrid weight "
+ << "for this event "
+ << "-> assign weight = 0" << endl;
+ return 0.0;
+ }
+
+ return _weights[ibin];
+}
+
+
+void EvtVubBLNPHybrid::readWeights(int startArg) {
+ _weights = new double[_nbins];
+
+ double maxw = 0.0;
+ for (int i = 0; i < _nbins; i++, startArg++) {
+ _weights[i] = getArg(startArg);
+ if (_weights[i] > maxw) maxw = _weights[i];
+ }
+
+ if (maxw == 0) {
+ report(ERROR,"EvtVubBLNPHybrid") << "EvtVub generator expected at least one "
+ << " weight > 0, but found none! "
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ // rescale weights (to be in range 0..1)
+ for (int i = 0; i < _nbins; i++) {
+ _weights[i] /= maxw;
+ }
+}
--- /dev/null
+
+//////////////////////////////////////////////////////////////////////
+//
+// Module: EvtVubBLNPHybrid.hh
+//
+//
+// tripleDiff from BLNPHybrid's notebook, based on hep-ph/0504071
+//
+// Description:
+// Class to generate inclusive B to X_u l nu decays.
+// This class is based on EvtVubBLNP by Sheila Mclachlin with an update to
+// generate the inclusive decays in such a way that the right
+// mix of inclusive and exclusive decays is obtained.
+//
+//NOTE:
+// - A set of weights (for bins in the kinematic variables mX, q2, El)
+// is read from DECAY.DEC. This set of weights must be consistent
+// with the other parameters specified (excl. BF, non-res BF, mb, a).
+// - If no binning/weights are specified in DECAY.DEC the hybrid
+// reweighting is not activated
+//
+//
+//////////////////////////////////////////////////////////////////
+
+
+#ifndef EVTVUBBLNPHYBRID_HH
+#define EVTVUBBLNPHYBRID_HH
+
+#include <vector>
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+
+class EvtVubBLNPHybrid:public EvtDecayIncoherent {
+
+public:
+
+ EvtVubBLNPHybrid();
+ virtual ~EvtVubBLNPHybrid();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *Bmeson);
+
+ void readWeights(int startArg=0);
+
+ double getWeight(double mX, double q2, double El);
+
+private:
+ //Input for hybrid modell
+ enum { nParameters = 10, nVariables = 3 };
+ bool _noHybrid;
+ bool _storeWhat;
+ int _nbins_mX;
+ int _nbins_q2;
+ int _nbins_El;
+ int _nbins;
+ double _masscut;
+ double * _bins_mX;
+ double * _bins_q2;
+ double * _bins_El;
+ double * _weights;
+
+ // Input parameters
+ double mBB;
+ double lambda2;
+
+ // Shape function parameters
+ double b;
+ double Lambda;
+ double Ecut;
+ double wzero;
+
+ // SF and SSF modes
+ int itype;
+ double dtype;
+ int isubl;
+
+ // flags
+ int flag1;
+ int flag2;
+ int flag3;
+
+ // Quark mass
+ double mb;
+
+ // Matching scales
+ double muh;
+ double mui;
+ double mubar;
+
+ // Perturbative quantities
+ double CF;
+ double CA;
+
+ double beta0;
+ double beta1;
+ double beta2;
+
+ double zeta3;
+
+ double Gamma0;
+ double Gamma1;
+ double Gamma2;
+
+ double gp0;
+ double gp1;
+
+ double Lbar;
+ double mupisq;
+ double moment2;
+
+ int flagpower;
+ int flag2loop;
+
+ int maxLoop;
+ double precision;
+
+ std::vector<double> gvars;
+
+ double rate3(double Pp, double Pl, double Pm);
+ double F1(double Pp, double Pm, double muh, double mui, double mubar, double doneJS, double done1);
+ double F2(double Pp, double Pm, double muh, double mui, double mubar, double done3);
+ double F3(double Pp, double Pm, double muh, double mui, double mubar, double done2);
+ double DoneJS(double Pp, double Pm, double mui);
+ double Done1(double Pp, double Pm, double mui);
+ double Done2(double Pp, double Pm, double mui);
+ double Done3(double Pp, double Pm, double mui);
+ static double IntJS(double what, const std::vector<double> &vars);
+ static double Int1(double what, const std::vector<double> &vars);
+ static double Int2(double what, const std::vector<double> &vars);
+ static double Int3(double what, const std::vector<double> &vars);
+ static double g1(double w, const std::vector<double> &vars);
+ static double g2(double w, const std::vector<double> &vars);
+ static double g3(double w, const std::vector<double> &vars);
+ static double Shat(double w, const std::vector<double> &vars);
+ static double Mzero(double muf, double mu, double mupisq, const std::vector<double> &vars);
+ double wS(double w);
+ double t(double w);
+ double u(double w);
+ double v(double w);
+ double myfunction(double w, double Lbar, double mom2);
+ double myfunctionBIK(double w, double Lbar, double mom2);
+ double dU1nlo(double muh, double mui);
+ double U1lo(double muh, double mui);
+ double Sfun(double mu1, double mu2, double epsilon);
+ double S0(double a1, double r);
+ double S1(double a1, double r);
+ double S2(double a1, double r);
+ double aGamma(double mu1, double mu2, double epsilon);
+ double agp(double mu1, double mu2, double epsilon);
+ double alo(double muh, double mui);
+ double anlo(double muh, double mui); // d/depsilon of aGamma
+ static double alphas(double mu, const std::vector<double> &vars);
+ double PolyLog(double v, double z);
+ static double Gamma(double z);
+ static double Gamma(double a, double x);
+ static double gamser(double a, double x, double LogGamma);
+ static double gammcf(double a, double x, double LogGamma);
+ double findBLNPWhat();
+ std::vector<double> _pf;
+};
+
+#endif
+
--- /dev/null
+//---------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVubHybrid.cc
+//
+// Description: Routine to decay a particle according to phase space.
+//
+// Modification history:
+//
+// Jochen Dingfelder February 1, 2005 Created Module as update of the
+// original module EvtVub by Sven Menke
+//---------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVubHybrid.hh"
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtPFermi.hh"
+#include "EvtGenModels/EvtVubdGamma.hh"
+#include "EvtGenBase/EvtRandom.hh"
+
+#include <string>
+#include <iostream>
+#include <fstream>
+using std::ifstream;
+using std::cout;
+using std::endl;
+
+
+// _noHybrid will be set TRUE if the DECAY.DEC file has no binning or weights
+// _storeQplus should alwasy be TRUE: writes out Fermi motion parameter
+
+EvtVubHybrid::EvtVubHybrid()
+ : _noHybrid(false), _storeQplus(true),
+ _mb(4.62), _a(2.27), _alphas(0.22), _dGMax(3.),
+ _nbins_mX(0), _nbins_q2(0), _nbins_El(0), _nbins(0),
+ _masscut(0.28), _bins_mX(0), _bins_q2(0), _bins_El(0),
+ _weights(0), _dGamma(0)
+{}
+
+EvtVubHybrid::~EvtVubHybrid() {
+ delete _dGamma;
+ delete [] _bins_mX;
+ delete [] _bins_q2;
+ delete [] _bins_El;
+ delete [] _weights;
+
+}
+
+std::string EvtVubHybrid::getName(){
+
+ return "VUBHYBRID";
+
+}
+
+EvtDecayBase* EvtVubHybrid::clone(){
+
+ return new EvtVubHybrid;
+
+}
+
+void EvtVubHybrid::init(){
+
+ // check that there are at least 3 arguments
+ if (getNArg() < EvtVubHybrid::nParameters) {
+ report(ERROR,"EvtVubHybrid") << "EvtVub generator expected "
+ << "at least " << EvtVubHybrid::nParameters
+ << " arguments but found: " << getNArg()
+ << "\nWill terminate execution!"<<endl;
+ ::abort();
+ } else if (getNArg() == EvtVubHybrid::nParameters) {
+ report(WARNING,"EvtVubHybrid") << "EvtVub: generate B -> Xu l nu events "
+ << "without using the hybrid reweighting."
+ << endl;
+ _noHybrid = true;
+ } else if (getNArg() < EvtVubHybrid::nParameters+EvtVubHybrid::nVariables) {
+ report(ERROR,"EvtVubHybrid") << "EvtVub could not read number of bins for "
+ << "all variables used in the reweighting\n"
+ << "Will terminate execution!" << endl;
+ ::abort();
+ }
+
+ // check that there are 3 daughters
+ checkNDaug(3);
+
+ // read minimum required parameters from decay.dec
+ _mb = getArg(0);
+ _a = getArg(1);
+ _alphas = getArg(2);
+
+ // the maximum dGamma*p2 value depends on alpha_s only:
+ const double dGMax0 = 3.;
+ _dGMax = 0.21344+8.905*_alphas;
+ if ( _dGMax < dGMax0 ) _dGMax = dGMax0;
+
+ // for the Fermi Motion we need a B-Meson mass - but it's not critical
+ // to get an exact value; in order to stay in the phase space for
+ // B+- and B0 use the smaller mass
+
+ static double mB0 = EvtPDL::getMaxMass(EvtPDL::getId("B0"));
+ static double mBP = EvtPDL::getMaxMass(EvtPDL::getId("B+"));
+ static double mB = (mB0<mBP?mB0:mBP);
+
+ const double xlow = -_mb;
+ const double xhigh = mB-_mb;
+ const int aSize = 10000;
+
+ EvtPFermi pFermi(_a,mB,_mb);
+ // pf is the cumulative distribution normalized to 1.
+ _pf.resize(aSize);
+ for(int i=0;i<aSize;i++){
+ double kplus = xlow + (double)(i+0.5)/((double)aSize)*(xhigh-xlow);
+ if ( i== 0 )
+ _pf[i] = pFermi.getFPFermi(kplus);
+ else
+ _pf[i] = _pf[i-1] + pFermi.getFPFermi(kplus);
+ }
+ for (size_t index=0; index<_pf.size(); index++) {
+ _pf[index]/=_pf[_pf.size()-1];
+ }
+
+ _dGamma = new EvtVubdGamma(_alphas);
+
+ if (_noHybrid) return; // Without hybrid weighting, nothing else to do
+
+ _nbins_mX = abs((int)getArg(3));
+ _nbins_q2 = abs((int)getArg(4));
+ _nbins_El = abs((int)getArg(5));
+
+ int nextArg = EvtVubHybrid::nParameters + EvtVubHybrid::nVariables;
+
+ _nbins = _nbins_mX*_nbins_q2*_nbins_El; // Binning of weight table
+
+ int expectArgs = nextArg + _nbins_mX +_nbins_q2 + _nbins_El + _nbins;
+
+ if (getNArg() < expectArgs) {
+ report(ERROR,"EvtVubHybrid")
+ << " finds " << getNArg() << " arguments, expected " << expectArgs
+ << ". Something is wrong with the tables of weights or thresholds."
+ << "\nWill terminate execution!" << endl;
+ ::abort();
+ }
+
+ // read bin boundaries from decay.dec
+ int i;
+
+ _bins_mX = new double[_nbins_mX];
+ for (i = 0; i < _nbins_mX; i++,nextArg++) {
+ _bins_mX[i] = getArg(nextArg);
+ }
+ _masscut = _bins_mX[0];
+
+ _bins_q2 = new double[_nbins_q2];
+ for (i = 0; i < _nbins_q2; i++,nextArg++) {
+ _bins_q2[i] = getArg(nextArg);
+ }
+
+ _bins_El = new double[_nbins_El];
+ for (i = 0; i < _nbins_El; i++,nextArg++) {
+ _bins_El[i] = getArg(nextArg);
+ }
+
+ // read in weights (and rescale to range 0..1)
+ readWeights(nextArg);
+}
+
+void EvtVubHybrid::initProbMax(){
+ noProbMax();
+}
+
+void EvtVubHybrid::decay( EvtParticle *p ){
+
+ int j;
+ // B+ -> u-bar specflav l+ nu
+
+ EvtParticle *xuhad, *lepton, *neutrino;
+ EvtVector4R p4;
+ // R. Faccini 21/02/03
+ // move the reweighting up , before also shooting the fermi distribution
+ double x,z,p2;
+ double sh=0.0;
+ double mB,ml,xlow,xhigh,qplus;
+ double El=0.0;
+ double Eh=0.0;
+ double kplus;
+ double q2, mX;
+
+ const double lp2epsilon=-10;
+ bool rew(true);
+ while(rew){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ xuhad=p->getDaug(0);
+ lepton=p->getDaug(1);
+ neutrino=p->getDaug(2);
+
+ mB = p->mass();
+ ml = lepton->mass();
+
+ xlow = -_mb;
+ xhigh = mB-_mb;
+
+ // Fermi motion does not need to be computed inside the
+ // tryit loop as m_b in Gamma0 does not need to be replaced by (m_b+kplus).
+ // The difference however should be of the Order (lambda/m_b)^2 which is
+ // beyond the considered orders in the paper anyway ...
+
+ // for alpha_S = 0 and a mass cut on X_u not all values of kplus are
+ // possible. The maximum value is mB/2-_mb + sqrt(mB^2/4-_masscut^2)
+ kplus = 2*xhigh;
+
+ while( kplus >= xhigh || kplus <= xlow
+ || (_alphas == 0 && kplus >= mB/2-_mb
+ + sqrt(mB*mB/4-_masscut*_masscut))) {
+ kplus = findPFermi(); //_pFermi->shoot();
+ kplus = xlow + kplus*(xhigh-xlow);
+ }
+ qplus = mB-_mb-kplus;
+ if( (mB-qplus)/2.<=ml) continue;
+
+ int tryit = 1;
+ while (tryit) {
+
+ x = EvtRandom::Flat();
+ z = EvtRandom::Flat(0,2);
+ p2=EvtRandom::Flat();
+ p2 = pow(10,lp2epsilon*p2);
+
+ El = x*(mB-qplus)/2;
+ if ( El > ml && El < mB/2) {
+
+ Eh = z*(mB-qplus)/2+qplus;
+ if ( Eh > 0 && Eh < mB ) {
+
+ sh = p2*pow(mB-qplus,2)+2*qplus*(Eh-qplus)+qplus*qplus;
+ if ( sh > _masscut*_masscut
+ && mB*mB + sh - 2*mB*Eh > ml*ml) {
+
+ double xran = EvtRandom::Flat();
+
+ double y = _dGamma->getdGdxdzdp(x,z,p2)/_dGMax*p2;
+
+ if ( y > 1 ) report(WARNING,"EvtVubHybrid") <<"EvtVubHybrid decay probability > 1 found: " << y << endl;
+ if ( y >= xran ) tryit = 0;
+ }
+ }
+ }
+ }
+
+ // compute all kinematic variables needed for reweighting (J. Dingfelder)
+ mX = sqrt(sh);
+ q2 = mB*mB + sh - 2*mB*Eh;
+
+ // Reweighting in bins of mX, q2, El (J. Dingfelder)
+ if (_nbins>0) {
+ double xran1 = EvtRandom::Flat();
+ double w = 1.0;
+ if (!_noHybrid) w = getWeight(mX, q2, El);
+ if ( w >= xran1 ) rew = false;
+ }
+ else {
+ rew = false;
+ }
+ }
+
+ // o.k. we have the three kineamtic variables
+ // now calculate a flat cos Theta_H [-1,1] distribution of the
+ // hadron flight direction w.r.t the B flight direction
+ // because the B is a scalar and should decay isotropic.
+ // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
+ // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
+ // W flight direction.
+
+ double ctH = EvtRandom::Flat(-1,1);
+ double phH = EvtRandom::Flat(0,2*M_PI);
+ double phL = EvtRandom::Flat(0,2*M_PI);
+
+ // now compute the four vectors in the B Meson restframe
+
+ double ptmp,sttmp;
+ // calculate the hadron 4 vector in the B Meson restframe
+
+ sttmp = sqrt(1-ctH*ctH);
+ ptmp = sqrt(Eh*Eh-sh);
+ double pHB[4] = {Eh,ptmp*sttmp*cos(phH),ptmp*sttmp*sin(phH),ptmp*ctH};
+ p4.set(pHB[0],pHB[1],pHB[2],pHB[3]);
+ xuhad->init( getDaug(0), p4);
+
+ if (_storeQplus ) {
+ // cludge to store the hidden parameter q+ with the decay;
+ // the lifetime of the Xu is abused for this purpose.
+ // tau = 1 ps corresponds to ctau = 0.3 mm -> in order to
+ // stay well below BaBars sensitivity we take q+/(10000 GeV) which
+ // goes up to 0.0005 in the most extreme cases as ctau in mm.
+ // To extract q+ back from the StdHepTrk its necessary to get
+ // delta_ctau = Xu->anyDaughter->getVertexTime()-Xu->getVertexTime()
+ // where these pseudo calls refere to the StdHep time stored at
+ // the production vertex in the lab for each particle. The boost
+ // has to be reversed and the result is:
+ //
+ // q+ = delta_ctau * 10000 GeV/mm * Mass_Xu/Energy_Xu
+ //
+ xuhad->setLifetime(qplus/10000.);
+ }
+
+ // calculate the W 4 vector in the B Meson restrframe
+
+ double apWB = ptmp;
+ double pWB[4] = {mB-Eh,-pHB[1],-pHB[2],-pHB[3]};
+
+ // first go in the W restframe and calculate the lepton and
+ // the neutrino in the W frame
+
+ double mW2 = mB*mB + sh - 2*mB*Eh;
+ double beta = ptmp/pWB[0];
+ double gamma = pWB[0]/sqrt(mW2);
+
+ double pLW[4];
+
+ ptmp = (mW2-ml*ml)/2/sqrt(mW2);
+ pLW[0] = sqrt(ml*ml + ptmp*ptmp);
+
+ double ctL = (El - gamma*pLW[0])/beta/gamma/ptmp;
+ if ( ctL < -1 ) ctL = -1;
+ if ( ctL > 1 ) ctL = 1;
+ sttmp = sqrt(1-ctL*ctL);
+
+ // eX' = eZ x eW
+ double xW[3] = {-pWB[2],pWB[1],0};
+ // eZ' = eW
+ double zW[3] = {pWB[1]/apWB,pWB[2]/apWB,pWB[3]/apWB};
+
+ double lx = sqrt(xW[0]*xW[0]+xW[1]*xW[1]);
+ for (j=0;j<2;j++)
+ xW[j] /= lx;
+
+ // eY' = eZ' x eX'
+ double yW[3] = {-pWB[1]*pWB[3],-pWB[2]*pWB[3],pWB[1]*pWB[1]+pWB[2]*pWB[2]};
+ double ly = sqrt(yW[0]*yW[0]+yW[1]*yW[1]+yW[2]*yW[2]);
+ for (j=0;j<3;j++)
+ yW[j] /= ly;
+
+ // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
+ // + sin(Theta) * sin(Phi) * eY'
+ // + cos(Theta) * eZ')
+ for (j=0;j<3;j++)
+ pLW[j+1] = sttmp*cos(phL)*ptmp*xW[j]
+ + sttmp*sin(phL)*ptmp*yW[j]
+ + ctL *ptmp*zW[j];
+
+ double apLW = ptmp;
+ // calculate the neutrino 4 vector in the W restframe
+ //double pNW[4] = {sqrt(mW2)-pLW[0],-pLW[1],-pLW[2],-pLW[3]};
+
+ // boost them back in the B Meson restframe
+
+ double appLB = beta*gamma*pLW[0] + gamma*ctL*apLW;
+
+ ptmp = sqrt(El*El-ml*ml);
+ double ctLL = appLB/ptmp;
+
+ if ( ctLL > 1 ) ctLL = 1;
+ if ( ctLL < -1 ) ctLL = -1;
+
+ double pLB[4] = {El,0,0,0};
+ double pNB[4] = {pWB[0]-El,0,0,0};
+
+ for (j=1;j<4;j++) {
+ pLB[j] = pLW[j] + (ctLL*ptmp - ctL*apLW)/apWB*pWB[j];
+ pNB[j] = pWB[j] - pLB[j];
+ }
+
+ p4.set(pLB[0],pLB[1],pLB[2],pLB[3]);
+ lepton->init( getDaug(1), p4);
+
+ p4.set(pNB[0],pNB[1],pNB[2],pNB[3]);
+ neutrino->init( getDaug(2), p4);
+
+ return ;
+}
+
+
+double EvtVubHybrid::findPFermi() {
+
+ double ranNum=EvtRandom::Flat();
+ double oOverBins= 1.0/(float(_pf.size()));
+ int nBinsBelow = 0; // largest k such that I[k] is known to be <= rand
+ int nBinsAbove = _pf.size(); // largest k such that I[k] is known to be > rand
+ int middle;
+
+ while (nBinsAbove > nBinsBelow+1) {
+ middle = (nBinsAbove + nBinsBelow+1)>>1;
+ if (ranNum >= _pf[middle]) {
+ nBinsBelow = middle;
+ } else {
+ nBinsAbove = middle;
+ }
+ }
+
+ double bSize = _pf[nBinsAbove] - _pf[nBinsBelow];
+ // binMeasure is always aProbFunc[nBinsBelow],
+
+ if ( bSize == 0 ) {
+ // rand lies right in a bin of measure 0. Simply return the center
+ // of the range of that bin. (Any value between k/N and (k+1)/N is
+ // equally good, in this rare case.)
+ return (nBinsBelow + .5) * oOverBins;
+ }
+
+ double bFract = (ranNum - _pf[nBinsBelow]) / bSize;
+
+ return (nBinsBelow + bFract) * oOverBins;
+
+}
+
+
+double EvtVubHybrid::getWeight(double mX, double q2, double El) {
+
+ int ibin_mX = -1;
+ int ibin_q2 = -1;
+ int ibin_El = -1;
+
+ for (int i = 0; i < _nbins_mX; i++) {
+ if (mX >= _bins_mX[i]) ibin_mX = i;
+ }
+ for (int i = 0; i < _nbins_q2; i++) {
+ if (q2 >= _bins_q2[i]) ibin_q2 = i;
+ }
+ for (int i = 0; i < _nbins_El; i++) {
+ if (El >= _bins_El[i]) ibin_El = i;
+ }
+ int ibin = ibin_mX + ibin_q2*_nbins_mX + ibin_El*_nbins_mX*_nbins_q2;
+
+ if ( (ibin_mX < 0) || (ibin_q2 < 0) || (ibin_El < 0) ) {
+ report(ERROR,"EvtVubHybrid") << "Cannot determine hybrid weight "
+ << "for this event "
+ << "-> assign weight = 0" << endl;
+ return 0.0;
+ }
+
+ return _weights[ibin];
+}
+
+
+void EvtVubHybrid::readWeights(int startArg) {
+ _weights = new double[_nbins];
+
+ double maxw = 0.0;
+ for (int i = 0; i < _nbins; i++, startArg++) {
+ _weights[i] = getArg(startArg);
+ if (_weights[i] > maxw) maxw = _weights[i];
+ }
+
+ if (maxw == 0) {
+ report(ERROR,"EvtVubHybrid") << "EvtVub generator expected at least one "
+ << " weight > 0, but found none! "
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ // rescale weights (to be in range 0..1)
+ for (int i = 0; i < _nbins; i++) {
+ _weights[i] /= maxw;
+ }
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVubHybrid.hh
+//
+// Description:
+// Class to generate inclusive B to X_u l nu decays.
+// This class is based on EvtVub by Sven Menke with an update to
+// generate the inclusive decays in such a way that the right
+// mix of inclusive and exclusive decays is obtained:
+// "Hybrid Model" by Dominique Fortin.
+// NOTE:
+// - A set of weights (for bins in the kinematic variables mX, q2, El)
+// is read from DECAY.DEC. This set of weights must be consistent
+// with the other parameters specified (excl. BF, non-res BF, mb, a).
+// - If no binning/weights are specified in DECAY.DEC the hybrid
+// reweighting is not activated
+//
+// Modification history:
+//
+// Jochen Dingfelder February 1, 2005 Created Module as update of
+// the module EvtVub including
+// hybrid model.
+//------------------------------------------------------------------------
+
+#ifndef EVTVUBHYBRID_HH
+#define EVTVUBHYBRID_HH
+
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+#include <vector>
+
+class EvtParticle;
+class EvtVubdGamma;
+class RandGeneral;
+
+class EvtVubHybrid:public EvtDecayIncoherent {
+
+public:
+
+ EvtVubHybrid();
+ virtual ~EvtVubHybrid();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+ void readWeights(int startArg=0);
+
+ double getWeight(double mX, double q2, double El);
+
+private:
+ double findPFermi();
+
+ enum { nParameters = 3, nVariables = 3 };
+
+ bool _noHybrid;
+ bool _storeQplus;
+
+ double _mb; // the b-quark pole mass in GeV (try 4.65 to 4.9)
+ double _a; // Parameter for the Fermi Motion (1.29 is good)
+ double _alphas; // Strong Coupling at m_b (around 0.24)
+ double _dGMax; // max dGamma*p2 value;
+ int _nbins_mX;
+ int _nbins_q2;
+ int _nbins_El;
+ int _nbins;
+ double _masscut;
+ double * _bins_mX;
+ double * _bins_q2;
+ double * _bins_El;
+ double * _weights;
+ EvtVubdGamma *_dGamma; // calculates the decay rate
+ std::vector<double> _pf;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information:
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtVubNLO.cc
+//
+// Description: Routine to decay B->Xulnu according to Bosch, Lange, Neubert, and Paz hep-ph/0402094
+// Equation numbers refer to this paper
+//
+// Modification history:
+//
+// Riccardo Faccini Feb. 11, 2004
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtVubNLO.hh"
+#include <string>
+#include "EvtGenBase/EvtVector4R.hh"
+#include "EvtGenModels/EvtItgSimpsonIntegrator.hh"
+#include "EvtGenModels/EvtBtoXsgammaFermiUtil.hh"
+#include "EvtGenModels/EvtItgPtrFunction.hh"
+#include "EvtGenModels/EvtPFermi.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenBase/EvtDiLog.hh"
+
+using std::cout;
+using std::endl;
+
+EvtVubNLO::~EvtVubNLO() {
+ delete [] _masses;
+ delete [] _weights;
+ cout <<" max pdf : "<<_gmax<<endl;
+ cout <<" efficiency : "<<(float)_ngood/(float)_ntot<<endl;
+
+}
+
+
+std::string EvtVubNLO::getName(){
+
+ return "VUB_NLO";
+
+}
+
+EvtDecayBase* EvtVubNLO::clone(){
+
+ return new EvtVubNLO;
+
+}
+
+
+void EvtVubNLO::init(){
+
+ // max pdf
+ _gmax=0;
+ _ntot=0;
+ _ngood=0;
+ _lbar=-1000;
+ _mupi2=-1000;
+
+ // check that there are at least 6 arguments
+ int npar = 8;
+ if (getNArg()<npar) {
+
+ report(ERROR,"EvtGen") << "EvtVubNLO generator expected "
+ << " at least npar arguments but found: "
+ <<getNArg()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+
+ }
+ // this is the shape function parameter
+ _mb = getArg(0);
+ _b = getArg(1);
+ _lambdaSF = getArg(2);// shape function lambda is different from lambda
+ _mui = 1.5;// GeV (scale)
+ _kpar = getArg(3);// 0
+ _idSF = abs((int)getArg(4));// type of shape function 1: exponential (from Neubert)
+ _nbins = abs((int)getArg(5));
+ _masses = new double[_nbins];
+ _weights = new double[_nbins];
+
+ // Shape function normalization
+ _mB=5.28;// temporary B meson mass for normalization
+
+ std::vector<double> sCoeffs(11);
+ sCoeffs[3] = _b;
+ sCoeffs[4] = _mb;
+ sCoeffs[5] = _mB;
+ sCoeffs[6] = _idSF;
+ sCoeffs[7] = lambda_SF();
+ sCoeffs[8] = mu_h();
+ sCoeffs[9] = mu_i();
+ sCoeffs[10] = 1.;
+ _SFNorm = SFNorm(sCoeffs) ; // SF normalization;
+
+
+ cout << " pdf 0.66, 1.32 , 4.32 "<<tripleDiff(0.66, 1.32 , 4.32)<<endl;
+ cout << " pdf 0.23,0.37,3.76 "<<tripleDiff(0.23,0.37,3.76)<<endl;
+ cout << " pdf 0.97,4.32,4.42 "<<tripleDiff(0.97,4.32,4.42)<<endl;
+ cout << " pdf 0.52,1.02,2.01 "<<tripleDiff(0.52,1.02,2.01)<<endl;
+ cout << " pdf 1.35,1.39,2.73 "<<tripleDiff(1.35,1.39,2.73)<<endl;
+
+
+ if (getNArg()-npar+2 != 2*_nbins) {
+ report(ERROR,"EvtGen") << "EvtVubNLO generator expected "
+ << _nbins << " masses and weights but found: "
+ <<(getNArg()-npar)/2 <<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ int i,j = npar-2;
+ double maxw = 0.;
+ for (i=0;i<_nbins;i++) {
+ _masses[i] = getArg(j++);
+ if (i>0 && _masses[i] <= _masses[i-1]) {
+ report(ERROR,"EvtGen") << "EvtVubNLO generator expected "
+ << " mass bins in ascending order!"
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ _weights[i] = getArg(j++);
+ if (_weights[i] < 0) {
+ report(ERROR,"EvtGen") << "EvtVubNLO generator expected "
+ << " weights >= 0, but found: "
+ <<_weights[i] <<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ if ( _weights[i] > maxw ) maxw = _weights[i];
+ }
+ if (maxw == 0) {
+ report(ERROR,"EvtGen") << "EvtVubNLO generator expected at least one "
+ << " weight > 0, but found none! "
+ << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+ for (i=0;i<_nbins;i++) _weights[i]/=maxw;
+
+ // the maximum dGamma*p2 value depends on alpha_s only:
+
+
+ // _dGMax = 0.05;
+ _dGMax = 150.;
+
+ // for the Fermi Motion we need a B-Meso\n mass - but it's not critical
+ // to get an exact value; in order to stay in the phase space for
+ // B+- and B0 use the smaller mass
+
+
+ // check that there are 3 daughters
+ checkNDaug(3);
+}
+
+void EvtVubNLO::initProbMax(){
+
+ noProbMax();
+
+}
+
+void EvtVubNLO::decay( EvtParticle *p ){
+
+ int j;
+ // B+ -> u-bar specflav l+ nu
+
+ EvtParticle *xuhad, *lepton, *neutrino;
+ EvtVector4R p4;
+
+ double pp,pm,pl,ml,El(0.0),Eh(0.0),sh(0.0);
+
+
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ xuhad=p->getDaug(0);
+ lepton=p->getDaug(1);
+ neutrino=p->getDaug(2);
+
+ _mB = p->mass();
+ ml = lepton->mass();
+
+ bool tryit = true;
+
+ while (tryit) {
+ // pm=(E_H+P_H)
+ pm= EvtRandom::Flat(0.,1);
+ pm= pow(pm,1./3.)*_mB;
+ // pl=mB-2*El
+ pl = EvtRandom::Flat(0.,1);
+ pl=sqrt(pl)*pm;
+ // pp=(E_H-P_H)
+ pp = EvtRandom::Flat(0.,pl);
+
+ _ntot++;
+
+ El = (_mB-pl)/2.;
+ Eh = (pp+pm)/2;
+ sh = pp*pm;
+
+ double pdf(0.);
+ if (pp<pl && El>ml&& sh > _masses[0]*_masses[0]&& _mB*_mB + sh - 2*_mB*Eh > ml*ml) {
+ double xran = EvtRandom::Flat(0,_dGMax);
+ pdf = tripleDiff(pp,pl,pm); // triple differential distribution
+ // cout <<" P+,P-,Pl,Pdf= "<<pp <<" "<<pm<<" "<<pl<<" "<<pdf<<endl;
+ if(pdf>_dGMax){
+ report(ERROR,"EvtGen") << "EvtVubNLO pdf above maximum: " <<pdf
+ <<" P+,P-,Pl,Pdf= "<<pp <<" "<<pm<<" "<<pl<<" "<<pdf<<endl;
+ //::abort();
+
+ }
+ if ( pdf >= xran ) tryit = false;
+
+ if(pdf>_gmax)_gmax=pdf;
+ } else {
+ // cout <<" EvtVubNLO incorrect kinematics sh= "<<sh<<"EH "<<Eh<<endl;
+ }
+
+
+ // reweight the Mx distribution
+ if(!tryit && _nbins>0){
+ _ngood++;
+ double xran1 = EvtRandom::Flat();
+ double m = sqrt(sh);j=0;
+ while ( j < _nbins && m > _masses[j] ) j++;
+ double w = _weights[j-1];
+ if ( w < xran1 ) tryit = true;// through away this candidate
+ }
+ }
+
+ // cout <<" max prob "<<gmax<<" " << pp<<" "<<y<<" "<<x<<endl;
+
+ // o.k. we have the three kineamtic variables
+ // now calculate a flat cos Theta_H [-1,1] distribution of the
+ // hadron flight direction w.r.t the B flight direction
+ // because the B is a scalar and should decay isotropic.
+ // Then chose a flat Phi_H [0,2Pi] w.r.t the B flight direction
+ // and and a flat Phi_L [0,2Pi] in the W restframe w.r.t the
+ // W flight direction.
+
+ double ctH = EvtRandom::Flat(-1,1);
+ double phH = EvtRandom::Flat(0,2*M_PI);
+ double phL = EvtRandom::Flat(0,2*M_PI);
+
+ // now compute the four vectors in the B Meson restframe
+
+ double ptmp,sttmp;
+ // calculate the hadron 4 vector in the B Meson restframe
+
+ sttmp = sqrt(1-ctH*ctH);
+ ptmp = sqrt(Eh*Eh-sh);
+ double pHB[4] = {Eh,ptmp*sttmp*cos(phH),ptmp*sttmp*sin(phH),ptmp*ctH};
+ p4.set(pHB[0],pHB[1],pHB[2],pHB[3]);
+ xuhad->init( getDaug(0), p4);
+
+
+ // calculate the W 4 vector in the B Meson restrframe
+
+ double apWB = ptmp;
+ double pWB[4] = {_mB-Eh,-pHB[1],-pHB[2],-pHB[3]};
+
+ // first go in the W restframe and calculate the lepton and
+ // the neutrino in the W frame
+
+ double mW2 = _mB*_mB + sh - 2*_mB*Eh;
+ // if(mW2<0.1){
+ // cout <<" low Q2! "<<pp<<" "<<epp<<" "<<x<<" "<<y<<endl;
+ //}
+ double beta = ptmp/pWB[0];
+ double gamma = pWB[0]/sqrt(mW2);
+
+ double pLW[4];
+
+ ptmp = (mW2-ml*ml)/2/sqrt(mW2);
+ pLW[0] = sqrt(ml*ml + ptmp*ptmp);
+
+ double ctL = (El - gamma*pLW[0])/beta/gamma/ptmp;
+ if ( ctL < -1 ) ctL = -1;
+ if ( ctL > 1 ) ctL = 1;
+ sttmp = sqrt(1-ctL*ctL);
+
+ // eX' = eZ x eW
+ double xW[3] = {-pWB[2],pWB[1],0};
+ // eZ' = eW
+ double zW[3] = {pWB[1]/apWB,pWB[2]/apWB,pWB[3]/apWB};
+
+ double lx = sqrt(xW[0]*xW[0]+xW[1]*xW[1]);
+ for (j=0;j<2;j++)
+ xW[j] /= lx;
+
+ // eY' = eZ' x eX'
+ double yW[3] = {-pWB[1]*pWB[3],-pWB[2]*pWB[3],pWB[1]*pWB[1]+pWB[2]*pWB[2]};
+ double ly = sqrt(yW[0]*yW[0]+yW[1]*yW[1]+yW[2]*yW[2]);
+ for (j=0;j<3;j++)
+ yW[j] /= ly;
+
+ // p_lep = |p_lep| * ( sin(Theta) * cos(Phi) * eX'
+ // + sin(Theta) * sin(Phi) * eY'
+ // + cos(Theta) * eZ')
+ for (j=0;j<3;j++)
+ pLW[j+1] = sttmp*cos(phL)*ptmp*xW[j]
+ + sttmp*sin(phL)*ptmp*yW[j]
+ + ctL *ptmp*zW[j];
+
+ double apLW = ptmp;
+
+ // boost them back in the B Meson restframe
+
+ double appLB = beta*gamma*pLW[0] + gamma*ctL*apLW;
+
+ ptmp = sqrt(El*El-ml*ml);
+ double ctLL = appLB/ptmp;
+
+ if ( ctLL > 1 ) ctLL = 1;
+ if ( ctLL < -1 ) ctLL = -1;
+
+ double pLB[4] = {El,0,0,0};
+ double pNB[8] = {pWB[0]-El,0,0,0};
+
+ for (j=1;j<4;j++) {
+ pLB[j] = pLW[j] + (ctLL*ptmp - ctL*apLW)/apWB*pWB[j];
+ pNB[j] = pWB[j] - pLB[j];
+ }
+
+ p4.set(pLB[0],pLB[1],pLB[2],pLB[3]);
+ lepton->init( getDaug(1), p4);
+
+ p4.set(pNB[0],pNB[1],pNB[2],pNB[3]);
+ neutrino->init( getDaug(2), p4);
+
+ return ;
+}
+
+double
+EvtVubNLO::tripleDiff ( double pp, double pl, double pm){
+
+ std::vector<double> sCoeffs(11);
+ sCoeffs[0] = pp;
+ sCoeffs[1] = pl;
+ sCoeffs[2] = pm;
+ sCoeffs[3] = _b;
+ sCoeffs[4] = _mb;
+ sCoeffs[5] = _mB;
+ sCoeffs[6] = _idSF;
+ sCoeffs[7] = lambda_SF();
+ sCoeffs[8] = mu_h();
+ sCoeffs[9] = mu_i();
+ sCoeffs[10] = _SFNorm; // SF normalization;
+
+
+ double c1=(_mB+pl-pp-pm)*(pm-pl);
+ double c2=2*(pl-pp)*(pm-pl);
+ double c3=(_mB-pm)*(pm-pp);
+ double aF1=F10(sCoeffs);
+ double aF2=F20(sCoeffs);
+ double aF3=F30(sCoeffs);
+ double td0=c1*aF1+c2*aF2+c3*aF3;
+
+
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&integrand, 0., _mB, sCoeffs);
+ EvtItgAbsIntegrator *jetSF = new EvtItgSimpsonIntegrator(*func,0.01,25);
+ double smallfrac=0.000001;// stop a bit before the end to avoid problems with numerical integration
+ double tdInt = jetSF->evaluate(0,pp*(1-smallfrac));
+ delete jetSF;
+
+ double SU=U1lo(mu_h(),mu_i())*pow((pm-pp)/(_mB-pp),alo(mu_h(),mu_i()));
+ double TD=(_mB-pp)*SU*(td0+tdInt);
+
+ return TD;
+
+}
+
+double
+EvtVubNLO::integrand(double omega, const std::vector<double> &coeffs){
+ //double pp=coeffs[0];
+ double c1=(coeffs[5]+coeffs[1]-coeffs[0]-coeffs[2])*(coeffs[2]-coeffs[1]);
+ double c2=2*(coeffs[1]-coeffs[0])*(coeffs[2]-coeffs[1]);
+ double c3=(coeffs[5]-coeffs[2])*(coeffs[2]-coeffs[0]);
+
+ return c1*F1Int(omega,coeffs)+c2*F2Int(omega,coeffs)+c3*F3Int(omega,coeffs);
+}
+
+double
+EvtVubNLO::F10(const std::vector<double> &coeffs){
+ double pp=coeffs[0];
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ double mui=coeffs[9];
+ double muh=coeffs[8];
+ double z=1-y;
+ double result= U1nlo(muh,mui)/ U1lo(muh,mui);
+
+ result += anlo(muh,mui)*log(y);
+
+ result += C_F(muh)*(-4*pow(log(y*coeffs[4]/muh),2)+10*log(y*coeffs[4]/muh)-4*log(y)-2*log(y)/(1-y)-4.0*EvtDiLog::DiLog(z)-pow(EvtConst::pi,2)/6.-12 );
+
+ result += C_F(mui)*(2*pow(log(y*coeffs[4]*pp/pow(mui,2)),2)-3*log(y*coeffs[4]*pp/pow(mui,2))+7-pow(EvtConst::pi,2) );
+ result *=shapeFunction(pp,coeffs);
+ // changes due to SSF
+ result += (-subS(coeffs)+2*subT(coeffs)+(subU(coeffs)-subV(coeffs))*(1/y-1.))/(coeffs[5]-pp);
+ result += shapeFunction(pp,coeffs)/pow((coeffs[5]-coeffs[0]),2)*(-5*(lambda1()+3*lambda2())/6+2*(2*lambda1()/3-lambda2())/pow(y,2));
+ // result += (subS(coeffs)+subT(coeffs)+(subU(coeffs)-subV(coeffs))/y)/(coeffs[5]-pp);
+ // this part has been added after Feb '05
+
+ //result += shapeFunction(pp,coeffs)/pow((coeffs[5]-coeffs[0]),2)*((lambda1()+3*lambda2())/6+2*(2*lambda1()/3-lambda2())/pow(y,2));
+ return result;
+}
+
+double
+EvtVubNLO::F1Int(double omega,const std::vector<double> &coeffs){
+ double pp=coeffs[0];
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ // mubar == mui
+ return C_F(coeffs[9])*(
+ (shapeFunction(omega,coeffs)-shapeFunction(pp,coeffs))*(4*log(y*coeffs[4]*(pp-omega)/pow(coeffs[9],2))-3)/(pp-omega)+
+ (g1(y,(pp-omega)/(coeffs[5]-coeffs[0]))/(coeffs[5]-pp)*shapeFunction(omega,coeffs))
+ );
+}
+
+double
+EvtVubNLO::F20(const std::vector<double> &coeffs){
+ double pp=coeffs[0];
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ double result= C_F(coeffs[8])*log(y)/(1-y)*shapeFunction(pp,coeffs)-
+ 1/y*(subS(coeffs)+2*subT(coeffs)-(subT(coeffs)+subV(coeffs))/y)/(coeffs[5]-pp);
+ // added after Feb '05
+ result += shapeFunction(pp,coeffs)/pow((coeffs[5]-coeffs[0])*y,2)*(2*lambda1()/3+4*lambda2()-y*(7/6*lambda1()+3*lambda2()));
+ return result;
+}
+
+double
+EvtVubNLO::F2Int(double omega,const std::vector<double> &coeffs){
+ double pp=coeffs[0];
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ return C_F(coeffs[9])*g3(y,(pp-omega)/(coeffs[5]-coeffs[0]))*shapeFunction(omega,coeffs)/(coeffs[5]-pp);
+}
+
+double
+EvtVubNLO::F30(const std::vector<double> &coeffs){
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ return shapeFunction(coeffs[0],coeffs)/pow((coeffs[5]-coeffs[0])*y,2)*(-2*lambda1()/3+lambda2());
+}
+
+double
+EvtVubNLO::F3Int(double omega,const std::vector<double> &coeffs){
+ double pp=coeffs[0];
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ return C_F(coeffs[9])*g3(y,(pp-omega)/(coeffs[5]-coeffs[0]))/2*shapeFunction(omega,coeffs)/(coeffs[2]-coeffs[0]);
+}
+
+double
+EvtVubNLO::g1(double y, double x){
+ double result=(y*(-9+10*y)+x*x*(-12+13*y)+2*x*(-8+6*y+3*y*y))/y/pow(1+x,2)/(x+y);
+ result -= 4*log((1+1/x)*y)/x;
+ result -=2*log(1+y/x)*(3*pow(x,4)*(-2+y)-2*pow(y,3)-4*pow(x,3)*(2+y)-2*x*y*y*(4+y)-x*x*y*(12+4*y+y*y))/x/pow((1+x)*y,2)/(x+y);
+ return result;
+}
+
+double
+EvtVubNLO::g2(double y, double x){
+ double result=y*(10*pow(x,4)+y*y+3*x*x*y*(10+y)+pow(x,3)*(12+19*y)+x*y*(8+4*y+y*y));
+ result -= 2*x*log(1+y/x)*(5*pow(x,4)+2*y*y+6*pow(x,3)*(1+2*y)+4*y*x*(1+2*y)+x*x*y*(18+5*y));
+ result *= 2/(pow(y*(1+x),2)*y*(x+y));
+ return result;
+}
+
+double
+EvtVubNLO::g3(double y, double x){
+ double result=(2*pow(y,3)*(-11+2*y)-10*pow(x,4)*(6-6*y+y*y)+x*y*y*(-94+29*y+2*y*y)+2*x*x*y*(-72+18*y+13*y*y)-pow(x,3)*(72+42*y-70*y*y+3*pow(y,3)))/(pow(y*(1+x),2)*y*(x+y));
+ result += 2*log(1+y/x)*(-6*x*pow(y,3)*(-5+y)+4*pow(y,4)+5*pow(x,5)*(6-6*y+y*y)-4*pow(x*y,2)*(-20+6*y+y*y)+pow(x,3)*y*(90-10*y-28*y*y+pow(y,3))+pow(x,4)*(36+36*y-50*y*y+4*pow(y,3)))/(pow((1+x)*y*y,2)*(x+y));
+ return result;
+}
+
+/* old version (before Feb 05 notebook from NNeubert
+
+double
+EvtVubNLO::F1Int(double omega,const std::vector<double> &coeffs){
+ double pp=coeffs[0];
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ // mubar == mui
+ return C_F(coeffs[9])*(
+ (shapeFunction(omega,coeffs)-shapeFunction(pp,coeffs))*(4*log(y*coeffs[4]*(pp-omega)/pow(coeffs[9],2))-3)/(pp-omega)-
+ (1./y/(coeffs[5]-pp)*shapeFunction(omega,coeffs)*(5-6*y+4*(3-y)*log((pp-omega)/y/coeffs[4])))
+ );
+}
+
+
+double
+EvtVubNLO::F2Int(double omega,const std::vector<double> &coeffs){
+ double pp=coeffs[0];
+ double y=(coeffs[2]-coeffs[0])/(coeffs[5]-coeffs[0]);
+ return C_F(coeffs[9])*shapeFunction(omega,coeffs)*(2-11/y-4/y*log((pp-omega)/y/coeffs[4]))/(coeffs[5]-pp);
+}
+
+double
+EvtVubNLO::F3(const std::vector<double> &coeffs){
+ return C_F(coeffs[9])*shapeFunction(omega,coeffs)/(coeffs[2]-coeffs[0]);
+}
+*/
+
+double EvtVubNLO::SFNorm( const std::vector<double> &coeffs){
+
+ double omega0=1.68;//normalization scale (mB-2*1.8)
+ if(_idSF==1){ // exponential SF
+ double omega0=1.68;//normalization scale (mB-2*1.8)
+ return M0(mu_i(),omega0)*pow(_b,_b)/lambda_SF()/ (Gamma(_b)-Gamma(_b,_b*omega0/lambda_SF()));
+ } else if(_idSF==2){ // Gaussian SF
+ double c=cGaus(_b);
+ return M0(mu_i(),omega0)*2/lambda_SF()/pow(c,-(1+_b)/2.)/
+ (Gamma((1+_b)/2)-Gamma((1+_b)/2,pow(omega0/lambda_SF(),2)*c));
+ } else {
+ report(ERROR,"EvtGen") << "unknown SF "<<_idSF<<endl;
+ return -1;
+ }
+}
+
+double
+EvtVubNLO::shapeFunction ( double omega, const std::vector<double> &sCoeffs){
+ if( sCoeffs[6]==1){
+ return sCoeffs[10]*expShapeFunction(omega, sCoeffs);
+ } else if( sCoeffs[6]==2) {
+ return sCoeffs[10]*gausShapeFunction(omega, sCoeffs);
+ } else {
+ report(ERROR,"EvtGen") << "EvtVubNLO : unknown shape function # "
+ <<sCoeffs[6]<<endl;
+ }
+ return -1.;
+}
+
+
+// SSF
+double
+EvtVubNLO::subS(const std::vector<double> &c){ return (lambda_bar(1.68)-c[0])*shapeFunction(c[0],c);}
+double
+EvtVubNLO::subT(const std::vector<double> &c){ return -3*lambda2()*subS(c)/mu_pi2(1.68);}
+double
+EvtVubNLO::subU(const std::vector<double> &c){ return -2*subS(c);}
+double
+EvtVubNLO::subV(const std::vector<double> &c){ return -subT(c);}
+
+
+double
+EvtVubNLO::lambda_bar(double omega0){
+ if(_lbar<0){
+ if(_idSF==1){ // exponential SF
+ double rat=omega0*_b/lambda_SF();
+ _lbar=lambda_SF()/_b*(Gamma(1+_b)-Gamma(1+_b,rat))/(Gamma(_b)-Gamma(_b,rat));
+ } else if(_idSF==2){ // Gaussian SF
+ double c=cGaus(_b);
+ _lbar=lambda_SF()*(Gamma(1+_b/2)-Gamma(1+_b/2,pow(omega0/lambda_SF(),2)*c))/(Gamma((1+_b)/2)-Gamma((1+_b)/2,pow(omega0/lambda_SF(),2)*c))/sqrt(c);
+ }
+ }
+ return _lbar;
+}
+
+
+double
+EvtVubNLO::mu_pi2(double omega0){
+ if(_mupi2<0){
+ if(_idSF==1){ // exponential SF
+ double rat=omega0*_b/lambda_SF();
+ _mupi2= 3*(pow(lambda_SF()/_b,2)*(Gamma(2+_b)-Gamma(2+_b,rat))/(Gamma(_b)-Gamma(_b,rat))-pow(lambda_bar(omega0),2));
+ } else if(_idSF==2){ // Gaussian SF
+ double c=cGaus(_b);
+ double m1=Gamma((3+_b)/2)-Gamma((3+_b)/2,pow(omega0/lambda_SF(),2)*c);
+ double m2=Gamma(1+_b/2)-Gamma(1+_b/2,pow(omega0/lambda_SF(),2)*c);
+ double m3=Gamma((1+_b)/2)-Gamma((1+_b)/2,pow(omega0/lambda_SF(),2)*c);
+ _mupi2= 3*pow(lambda_SF(),2)*(m1/m3-pow(m2/m3,2))/c;
+ }
+ }
+ return _mupi2;
+}
+
+double
+EvtVubNLO::M0(double mui,double omega0){
+ double mf=omega0-lambda_bar(omega0);
+ return 1+4*C_F(mui)*(-pow(log(mf/mui),2)-log(mf/mui)-pow(EvtConst::pi/2,2)/6.+mu_pi2(omega0)/3/pow(mf,2)*(log(mf/mui)-0.5));
+}
+
+double
+EvtVubNLO::alphas(double mu){
+ double Lambda4=0.302932;
+ double lg=2*log(mu/Lambda4);
+ return 4*EvtConst::pi/lg/beta0()*(1-beta1()*log(lg)/pow(beta0(),2)/lg+pow(beta1()/lg,2)/pow(beta0(),4)*(pow(log(lg)-0.5,2)-1.25+beta2()*beta0()/pow(beta1(),2)));
+}
+
+double
+EvtVubNLO::gausShapeFunction ( double omega, const std::vector<double> &sCoeffs){
+ double b=sCoeffs[3];
+ double l=sCoeffs[7];
+ double wL=omega/l;
+
+ return pow(wL,b)*exp(-cGaus(b)*wL*wL);
+}
+
+double
+EvtVubNLO::expShapeFunction ( double omega, const std::vector<double> &sCoeffs){
+ double b=sCoeffs[3];
+ double l=sCoeffs[7];
+ double wL=omega/l;
+
+ return pow(wL,b-1)*exp(-b*wL);
+}
+
+double
+EvtVubNLO::Gamma(double z) {
+
+ std::vector<double> gammaCoeffs(6);
+ gammaCoeffs[0]=76.18009172947146;
+ gammaCoeffs[1]=-86.50532032941677;
+ gammaCoeffs[2]=24.01409824083091;
+ gammaCoeffs[3]=-1.231739572450155;
+ gammaCoeffs[4]=0.1208650973866179e-2;
+ gammaCoeffs[5]=-0.5395239384953e-5;
+
+ //Lifted from Numerical Recipies in C
+ double x, y, tmp, ser;
+
+ int j;
+ y = z;
+ x = z;
+
+ tmp = x + 5.5;
+ tmp = tmp - (x+0.5)*log(tmp);
+ ser=1.000000000190015;
+
+ for (j=0;j<6;j++) {
+ y = y +1.0;
+ ser = ser + gammaCoeffs[j]/y;
+ }
+
+ return exp(-tmp+log(2.5066282746310005*ser/x));
+
+}
+
+
+
+double
+EvtVubNLO::Gamma(double z, double tmin) {
+ std::vector<double> c(1);
+ c[0]=z;
+ EvtItgPtrFunction *func = new EvtItgPtrFunction(&dgamma, tmin, 100., c);
+ EvtItgAbsIntegrator *jetSF = new EvtItgSimpsonIntegrator(*func,0.001);
+ return jetSF->evaluate(tmin,100.);
+}
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVubNLO.hh
+//
+// Description:
+// Class to generate inclusive B to X_u l nu decays according to various
+// decay models. Implemtented are ACCM, parton-model and a QCD model.
+//
+// Modification history:
+//
+// Sven Menke January 17, 2001 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTVUBNLO_HH
+#define EVTVUBNLO_HH
+
+#include <vector>
+#include "EvtGenBase/EvtDecayIncoherent.hh"
+
+class EvtParticle;
+class RandGeneral;
+
+class EvtVubNLO:public EvtDecayIncoherent {
+
+public:
+
+ EvtVubNLO() {}
+ virtual ~EvtVubNLO();
+
+ std::string getName();
+
+ EvtDecayBase* clone();
+
+ void initProbMax();
+
+ void init();
+
+ void decay(EvtParticle *p);
+
+
+private:
+
+ // cache
+ double _lbar;
+ double _mupi2;
+
+ double _mb; // the b-quark pole mass in GeV
+ double _mB;
+ double _lambdaSF;
+ double _b; // Parameter for the Fermi Motion
+ double _kpar;
+ double _mui; // renormalization scale (preferred value=1.5 GeV)
+ double _SFNorm; // SF normalization
+ double _dGMax; // max dGamma*p2 value;
+ int _nbins;
+ int _idSF;// which shape function?
+ double * _masses;
+ double * _weights;
+
+ double _gmax;
+ int _ngood,_ntot;
+
+
+ double tripleDiff(double pp, double pl, double pm);
+ double SFNorm(const std::vector<double> &coeffs);
+ static double integrand(double omega, const std::vector<double> &coeffs);
+ double F10(const std::vector<double> &coeffs);
+ static double F1Int(double omega,const std::vector<double> &coeffs);
+ double F20(const std::vector<double> &coeffs);
+ static double F2Int(double omega,const std::vector<double> &coeffs);
+ double F30(const std::vector<double> &coeffs);
+ static double F3Int(double omega,const std::vector<double> &coeffs);
+ static double g1(double y, double z);
+ static double g2(double y, double z);
+ static double g3(double y, double z);
+
+ static double Gamma(double z);// Euler Gamma Function
+ static double dgamma(double t, const std::vector<double> &c){ return pow(t,c[0]-1)*exp(-t);}
+ static double Gamma(double z, double tmax);
+
+ // theory parameters
+ inline double mu_i(){return _mui;} // intermediate scale
+ inline double mu_bar(){return _mui;}
+ inline double mu_h(){return _mb/sqrt(2.0);} // high scale
+ inline double lambda1(){return -_mupi2;}
+
+ // expansion coefficients for RGE
+ static double beta0(int nf=4){return 11.-2./3.*nf;}
+ static double beta1(int nf=4){return 34.*3.-38./3.*nf;}
+ static double beta2(int nf=4){return 1428.5-5033./18.*nf+325./54.*nf*nf;}
+ static double gamma0(){return 16./3.;}
+ static double gamma1(int nf=4){return 4./3.*(49.85498-40./9.*nf);}
+ static double gamma2(int nf=4){return 64./3.*(55.07242-8.58691*nf-nf*nf/27.);} /* zeta3=1.20206 */
+ static double gammap0(){return -20./3.;}
+ static double gammap1(int nf=4){return -32./3.*(6.92653-0.9899*nf);} /* ?? zeta3=1.202 */
+
+
+ // running constants
+
+ static double alphas(double mu) ;
+ static double C_F(double mu){return (4.0/3.0)*alphas(mu)/4./EvtConst::pi;}
+
+ // Shape Functions
+
+ inline double lambda_SF(){ return _lambdaSF;}
+ double lambda_bar(double omega0);
+ inline double lambda2(){return 0.12;}
+ double mu_pi2(double omega0);
+ inline double lambda(double mu=0){ return _mB-_mb;}
+
+ // specail for gaussian SF
+ static double cGaus(double b){return pow(Gamma(1+b/2.)/Gamma((1+b)/2.),2);}
+
+ double M0(double mui,double omega0);
+ static double shapeFunction(double omega, const std::vector<double> &coeffs);
+ static double expShapeFunction(double omega, const std::vector<double> &coeffs);
+ static double gausShapeFunction(double omega, const std::vector<double> &coeffs);
+ // SSF (not yet implemented)
+ double subS(const std::vector<double> &coeffs );
+ double subT(const std::vector<double> &coeffs);
+ double subU(const std::vector<double> &coeffs);
+ double subV(const std::vector<double> &coeffs);
+
+
+ // Sudakov
+
+ inline double S0(double a, double r){return -gamma0()/4/a/pow(beta0(),2)*(1/r-1+log(r));}
+ inline double S1(double a, double r){return gamma0()/4./pow(beta0(),2)*(
+ pow(log(r),2)*beta1()/2./beta0()+(gamma1()/gamma0()-beta1()/beta0())*(1.-r+log(r))
+ );}
+ inline double S2(double a, double r){return gamma0()*a/4./pow(beta0(),2)*(
+ -0.5*pow((1-r),2)*(
+ pow(beta1()/beta0(),2)-beta2()/beta0()-beta1()/beta0()*gamma1()/gamma0()+gamma2()/gamma0()
+ )
+ +(pow(beta1()/beta0(),2)-beta2()/beta0())*(1-r)*log(r)
+ +(beta1()/beta0()*gamma1()/gamma0()-beta2()/beta0())*(1-r+r*log(r))
+ );}
+ inline double dSudakovdepsi(double mu1, double mu2){return S2(alphas(mu1)/(4*EvtConst::pi),alphas(mu2)/alphas(mu1));}
+ inline double Sudakov(double mu1, double mu2, double epsi=0){double fp(4*EvtConst::pi);return S0(alphas(mu1)/fp,alphas(mu2)/alphas(mu1))+S1(alphas(mu1)/fp,alphas(mu2)/alphas(mu1))+epsi*dSudakovdepsi(mu1,mu2);}
+
+ // RG
+ inline double dGdepsi(double mu1, double mu2){return 1./8./EvtConst::pi*(alphas(mu2)-alphas(mu1))*(gamma1()/beta0()-beta1()*gamma0()/pow(beta0(),2));}
+ inline double aGamma(double mu1, double mu2, double epsi=0){return gamma0()/2/beta0()*log(alphas(mu2)/alphas(mu1))+epsi*dGdepsi( mu1, mu2);}
+ inline double dgpdepsi(double mu1, double mu2){return 1./8./EvtConst::pi*(alphas(mu2)-alphas(mu1))*(gammap1()/beta0()-beta1()*gammap0()/pow(beta0(),2));}
+ inline double agammap(double mu1, double mu2, double epsi=0){return gammap0()/2/beta0()*log(alphas(mu2)/alphas(mu1))+epsi*dgpdepsi( mu1, mu2);}
+ inline double U1(double mu1, double mu2, double epsi=0){return exp(2*(Sudakov(mu1,mu2,epsi)-agammap(mu1,mu2,epsi)-aGamma(mu1,mu2,epsi)*log(_mb/mu1)));}
+ inline double U1lo(double mu1, double mu2){return U1(mu1,mu2);}
+ inline double U1nlo(double mu1, double mu2){return U1(mu1,mu2)*(1+2*(dSudakovdepsi(mu1,mu2)-dgpdepsi( mu1, mu2)-log(_mb/mu1)*dGdepsi( mu1, mu2)));}
+ inline double alo(double mu1, double mu2){return -2*aGamma(mu1,mu2);}
+ inline double anlo(double mu1, double mu2){return -2*dGdepsi(mu1,mu2);}
+
+};
+
+#endif
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+//
+// Description:
+// 3 2 2
+// d Gamma / _ _ _2 mb _2 mb
+// ---------- = 12 Gamma | (1+x-z)(z-x-p ) -- W + (1-z+p ) -- W
+// _ 2 0 \ 2 1 2 2
+// dx dz dp 2
+// _ _ _2 mb 2 \.
+// + [x(z-x)-p ] -- (W + 2mb W + mb W ) |
+// 4 3 4 5 /
+//
+// with
+// 2 E 2
+// l _2 p 2 v.p _
+// x = ------ , p = --- , z = ------ , x = 1-x
+// mb 2 mb
+// mb
+//
+// the triple differential decay rate according to
+// hep-ph/9905351 v2
+//
+// Environment:
+// Software developed for the BaBar Detector at the SLAC B-Factory.
+//
+// Author List:
+// Sven Menke
+//
+//-----------------------------------------------------------------------
+//-----------------------
+// This Class's Header --
+//-----------------------
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenModels/EvtVubdGamma.hh"
+#include "EvtGenBase/EvtDiLog.hh"
+
+//---------------
+// C Headers --
+//---------------
+#include <math.h>
+
+//----------------
+// Constructors --
+//----------------
+
+EvtVubdGamma::EvtVubdGamma(const double &alphas)
+{
+ _alphas = alphas;
+
+ // the range for the delta distribution in p2 is from _epsilon1 to
+ // _epsilon2. It was checked with the single differential formulae
+ // in the paper that these values are small enough to imitate p2 = 0
+ // for the regular terms.
+ // The ()* distributions, however need further treatment. In order to
+ // generate the correct spectrum in z a threshold need to be computed
+ // from the desired value of the coupling alphas. The idea is that
+ // for z=1 p2=0 is not allowed and therefore the part of dGamma proportional
+ // to delta(p2) should go to 0 for z->1.
+ // Using equation (3.1) and (3.2) it is possible to find the correct value
+ // for log(_epsilon3) from this requirement.
+
+ _epsilon1 = 1e-10;
+ _epsilon2 = 1e-5;
+ if ( alphas > 0 ) {
+ double lne3 = 9./16.-2*EvtConst::pi*EvtConst::pi/3.+6*EvtConst::pi/4/alphas; if ( lne3 > 0 )
+ lne3 = -7./4. - sqrt(lne3);
+ else
+ lne3 = -7./4.;
+ _epsilon3 = exp(lne3);
+ }
+ else
+ _epsilon3 = 1;
+}
+
+//--------------
+// Destructor --
+//--------------
+
+EvtVubdGamma::~EvtVubdGamma( )
+{
+}
+
+//-----------
+// Methods --
+//-----------
+
+double EvtVubdGamma::getdGdxdzdp(const double &x, const double &z, const double &p2)
+{
+ // check phase space
+
+ double xb = (1-x);
+
+ if ( x < 0 || x > 1 || z < xb || z > (1+xb) )
+ return 0;
+
+ double p2min = (0>z-1.?0:z-1.);
+ double p2max = (1.-x)*(z-1.+x);
+
+ if (p2 < p2min || p2 > p2max)
+ return 0;
+
+ // // check the phase space
+ // return 1.;
+
+ double dG;
+
+ if ( p2 >_epsilon1 && p2< _epsilon2) {
+
+ double W1 = getW1delta(x,z);
+ double W4plus5 = getW4plus5delta(x,z);
+
+ dG = 12. * delta(p2,p2min,p2max) * ((1.+xb-z) * (z-xb) * W1
+ + xb*(z-xb) * (W4plus5));
+ }
+ else {
+
+ double W1 = getW1nodelta(x,z,p2);
+ double W2 = getW2nodelta(x,z,p2);
+ double W3 = getW3nodelta(x,z,p2);
+ double W4 = getW4nodelta(x,z,p2);
+ double W5 = getW5nodelta(x,z,p2);
+
+ dG = 12. * ((1.+xb-z) * (z-xb-p2) * W1
+ + (1.-z+p2) * W2
+ + (xb*(z-xb)-p2) * (W3+W4+W5));
+ }
+ return dG;
+}
+
+double EvtVubdGamma::delta(const double &x, const double &xmin, const double &xmax)
+{
+ if ( xmin > 0 || xmax < 0 ) return 0.;
+ if ( _epsilon1 < x && x < _epsilon2 ) return 1./(_epsilon2-_epsilon1);
+ return 0.0;
+}
+
+double EvtVubdGamma::getW1delta(const double &, const double &z)
+{
+ double mz = 1.-z;
+
+ double lz;
+ if (z == 1) lz = -1.;
+ else lz = log(z)/(1.-z);
+
+ // ddilog_(&z) is actually the dilog of (1-z) in maple,
+ // also in Neuberts paper the limit dilog(1) = pi^2/6 is used
+ // this corresponds to maple's dilog(0), so
+ // I take ddilog_(&mz) where mz=1-z in order to satisfy Neubert's definition
+ // and to compare with Maple the argument in maple should be (1-mz) ...
+
+ double dl = 4.*EvtDiLog::DiLog(mz) + 4.*pow(EvtConst::pi,2)/3.;
+
+ double w = -(8.*pow(log(z),2) - 10.*log(z) + 2.*lz + dl + 5.)
+ + (8.*log(z)-7.)*log(_epsilon3) - 2.*pow(log(_epsilon3),2);
+
+ return (1. + w*_alphas/3./EvtConst::pi);
+}
+
+double EvtVubdGamma::getW1nodelta(const double &, const double &z, const double &p2)
+{
+
+ double z2 = z*z;
+ double t2 = 1.-4.*p2/z2;
+ double t = sqrt(t2);
+
+ double w = 0;
+ if ( p2 > _epsilon2 )
+ w += 4./p2*(log((1.+t)/(1.-t))/t + log(p2/z2))
+ + 1. - (8.-z)*(2.-z)/z2/t2
+ + ((2.-z)/2./z+(8.-z)*(2.-z)/2./z2/t2)*log((1.+t)/(1.-t))/t;
+ if ( p2 > _epsilon3 )
+ w += (8.*log(z)-7.)/p2 - 4.*log(p2)/p2;
+
+ return w*_alphas/3./EvtConst::pi;
+}
+
+double EvtVubdGamma::getW2nodelta(const double &, const double &z, const double &p2)
+{
+
+ double z2 = z*z;
+ double t2 = 1.-4.*p2/z2;
+ double t = sqrt(t2);
+ double w11 = (32.-8.*z+z2)/4./z/t2;
+
+ double w = 0;
+ if ( p2 > _epsilon2 )
+ w -= (z*t2/8. + (4.-z)/4. + w11/2.)*log((1.+t)/(1.-t))/t;
+ if ( p2 > _epsilon2 )
+ w += (8.-z)/4. + w11;
+
+ return (w*_alphas/3./EvtConst::pi);
+}
+
+double EvtVubdGamma::getW3nodelta(const double &, const double &z, const double &p2)
+{
+ double z2 = z*z;
+ double t2 = 1.-4.*p2/z2;
+ double t4 = t2*t2;
+ double t = sqrt(t2);
+
+ double w = 0;
+
+ if ( p2 > _epsilon2 )
+ w += (z*t2/16. + 5.*(4.-z)/16. - (64.+56.*z-7.*z2)/16./z/t2
+ + 3.*(12.-z)/16./t4) * log((1.+t)/(1.-t))/t;
+ if ( p2 > _epsilon2 )
+ w += -(8.-3.*z)/8. + (32.+22.*z-3.*z2)/4./z/t2 - 3.*(12.-z)/8./t4;
+
+ return (w*_alphas/3./EvtConst::pi);
+}
+
+double EvtVubdGamma::getW4nodelta(const double &, const double &z, const double &p2)
+{
+ double z2 = z*z;
+ double t2 = 1.-4.*p2/z2;
+ double t4 = t2*t2;
+ double t = sqrt(t2);
+
+ double w = 0;
+
+ if ( p2 > _epsilon2 )
+ w -= ((8.-3.*z)/4./z - (22.-3.*z)/2./z/t2 + 3.*(12.-z)/4./z/t4)
+ * log((1.+t)/(1.-t))/t;
+ if ( p2 > _epsilon2 )
+ w += -1. - (32.-5.*z)/2./z/t2 + 3.*(12.-z)/2./z/t4 ;
+
+ return w*_alphas/3./EvtConst::pi;
+}
+
+double EvtVubdGamma::getW4plus5delta(const double &, const double &z)
+{
+
+ double w = 0;
+
+ if ( z == 1 )
+ w = -2;
+ else
+ w = 2.*log(z)/(1.-z);
+
+ return (w*_alphas/3./EvtConst::pi);
+}
+
+double EvtVubdGamma::getW5nodelta(const double &, const double &z, const double &p2)
+{
+ double z2 = z*z;
+ double t2 = 1.-4.*p2/z2;
+ double t4 = t2*t2;
+ double t = sqrt(t2);
+
+ double w = 0;
+ if ( p2 > _epsilon2 )
+ w += (1./4./z - (2.-z)/2./z2/t2 + 3.*(12.-z)/4./z2/t4)
+ * log((1.+t)/(1.-t))/t;
+ if ( p2 > _epsilon2 )
+ w += -(8.+z)/2./z2/t2 - 3.*(12.-z)/2./z2/t4;
+
+ return (w*_alphas/3./EvtConst::pi);
+
+}
+
+
+
--- /dev/null
+//-----------------------------------------------------------------------
+// File and Version Information:
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+//
+//
+// Description:
+// 3 2 2
+// d Gamma / _ _ _2 mb _2 mb
+// ---------- = 12 Gamma | (1+x-z)(z-x-p ) -- W + (1-z+p ) -- W
+// _ 2 0 \ 2 1 2 2
+// dx dz dp 2
+// _ _ _2 mb 2 \.
+// + [x(z-x)-p ] -- (W + 2mb W + mb W ) |
+// 4 3 4 5 /
+//
+// with
+// 2 E 2
+// l _2 p 2 v.p _
+// x = ------ , p = --- , z = ------ , x = 1-x
+// mb 2 mb
+// mb
+//
+// the triple differential decay rate according to
+// hep-ph/9905351 v2
+//
+// Environment:
+// Software developed for the BaBar Detector at the SLAC B-Factory.
+//
+// Author List:
+// Sven Menke
+//
+//-----------------------------------------------------------------------
+
+#ifndef EVTVUBDGAMMA_HH
+#define EVTVUBDGAMMA_HH
+
+class EvtVubdGamma {
+
+public:
+
+ // Constructors
+
+ EvtVubdGamma(const double &alphas);
+
+ // Destructor
+
+ virtual ~EvtVubdGamma( );
+
+ // Operators
+
+ // Selectors
+
+ // Modifiers
+
+ // Methods
+
+ double getdGdxdzdp(const double &x, const double &z, const double &p2);
+
+protected:
+
+ // Helper functions
+
+ double delta(const double &x, const double &xmin, const double &xmax);
+
+ double getW1nodelta(const double &x, const double &z, const double &p2);
+
+ double getW2nodelta(const double &x, const double &z, const double &p2);
+
+ double getW3nodelta(const double &x, const double &z, const double &p2);
+
+ double getW4nodelta(const double &x, const double &z, const double &p2);
+
+ double getW5nodelta(const double &x, const double &z, const double &p2);
+
+ double getW1delta(const double &x, const double &z);
+
+ double getW4plus5delta(const double &x, const double &z);
+
+private:
+
+ // Friends
+
+ // Data members
+
+ double _alphas;
+ double _epsilon1;
+ double _epsilon2;
+ double _epsilon3;
+};
+
+
+#endif // EVTVUBDGAMMA_HH
+
+
--- /dev/null
+//---------------------------------------------------------------------------------
+//
+// Wilson coeficients according to A.J.Buras and M.Munz, Phys.Rev. D52, 186. (1995)
+// Thanks to N. Nikitine for example code for Pythia
+// Coeficient C8eff and C2 correction to C7eff taken from:
+// A.J.Buras, M.Misiak, M.Munz, S.Pokorski, Nucl.Phys. B424, 374 (1994)
+//
+// Used constants come from PDG 2004
+//
+// P. Reznicek 18.02.2005
+//
+// 04/03/2005 PR Added h-function
+//
+//---------------------------------------------------------------------------------
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtWilsonCoeficients.hh"
+#include <stdlib.h>
+
+// including EvtLi2Spence.F
+extern "C" {
+ extern double li2spence_(double*);
+}
+
+EvtWilsonCoeficients::EvtWilsonCoeficients(){
+ int i,j;
+ double tmpa[8]={14./23.,16./23.,6./23.,-12./23.,0.4086,-0.4230,-0.8994,0.1456};
+ double tmph[8]={2.2996,-1.0880,-3./7.,-1./14.,-0.6494,-0.0380,-0.0186,-0.0057};
+ double tmpp[8]={0,0,-80./203.,8./33.,0.0433,0.1384,0.1648,-0.0073};
+ double tmps[8]={0,0,-0.2009,-0.3579,0.0490,-0.3616,-0.3554,0.0072};
+ double tmpq[8]={0,0,0,0,0.0318,0.0918,-0.2700,0.0059};
+ double tmpg[8]={313063./363036.,0,0,0,-0.9135,0.0873,-0.0571,-0.0209};
+ double tmpk[6][8]={{0,0,1./2.,-1./2.,0,0,0,0},
+ {0,0,1./2.,+1./2.,0,0,0,0},
+ {0,0,-1./14.,+1./6.,0.0510,-0.1403,-0.0113,0.0054},
+ {0,0,-1./14.,-1./6.,0.0984,+0.1214,+0.0156,0.0026},
+ {0,0,0,0,-0.0397,0.0117,-0.0025,+0.0304},
+ {0,0,0,0,+0.0335,0.0239,-0.0462,-0.0112}};
+ double tmpr[2][8]={{0,0,+0.8966,-0.1960,-0.2011,0.1328,-0.0292,-0.1858},
+ {0,0,-0.1193,+0.1003,-0.0473,0.2323,-0.0133,-0.1799}};
+ for(i=0;i<8;i++){
+ a[i]=tmpa[i];
+ h[i]=tmph[i];
+ p[i]=tmpp[i];
+ s[i]=tmps[i];
+ q[i]=tmpq[i];
+ g[i]=tmpg[i];
+ for(j=0;j<6;j++) k[j][i]=tmpk[j][i];
+ for(j=0;j<2;j++) r[j][i]=tmpr[j][i];
+ }
+ m_n_f=5;
+ m_Lambda=0.2167;
+ m_alphaMZ=0.1187;
+ m_mu=4.8;
+ m_M_Z=91.1876;
+ m_M_t=174.3;
+ m_M_W=80.425;
+ m_alphaS=0;
+ m_eta=0;
+ m_sin2W=0.23120;
+ m_ialpha=137.036;
+ m_C1=m_C2=m_C3=m_C4=m_C5=m_C6=m_C7=m_C7eff0=m_C8=m_C8eff0=m_C9=m_C9tilda=m_C10=m_C10tilda=m_P0=0;
+ m_A=m_B=m_C=m_D=m_E=m_F=m_Y=m_Z=m_PE=0;
+ m_ksi=0;
+}
+
+void EvtWilsonCoeficients::SetRenormalizationScheme(std::string scheme){
+ if(scheme=="NDR") m_ksi=0;
+ else if(scheme=="HV") m_ksi=1;
+ else{
+ report(ERROR,"EvtGen") << "ERROR: EvtWilsonCoeficients knows only NDR and HV schemes !" << std::endl;
+ ::abort();
+ }
+}
+
+double EvtWilsonCoeficients::alphaS(double mu=4.8,int n_f=5,double Lambda=0.2167){
+// calculate strong coupling constant for n_f flavours and scale mu
+ double beta0=11.-2./3.*n_f;
+ double beta1=51.-19./3.*n_f;
+ double beta2=2857.-5033./9.*n_f+325./27.*n_f*n_f;
+ double lnratio=log(mu*mu/Lambda/Lambda);
+ double aS=4.*EvtConst::pi/beta0/lnratio*(1.-2*beta1/beta0/beta0*log(lnratio)/lnratio+
+ 4*beta1*beta1/beta0/beta0/beta0/beta0/lnratio/lnratio*((log(lnratio)-0.5)*(log(lnratio)-0.5)+beta2*beta0/8/beta1/beta1-5./4.));
+ return aS;
+}
+
+double EvtWilsonCoeficients::Lambda(double alpha=0.1187,int n_f=5,double mu=91.1876,double epsilon=0.00005,int maxstep=1000){
+// calculate Lambda matching alphaS using simple iterative method
+ int i;
+ double difference=0;
+ double Lambda=mu*0.9999999999;
+ double step=-mu/20;
+ for(i=0;i<maxstep && (difference=fabs(alphaS(mu,n_f,Lambda)-alpha))>=epsilon;i++){
+ report(DEBUG,"EvtGen") << " Difference of alpha_S from " << alpha << " is " << difference << " at Lambda = " << Lambda << std::endl;
+ if(alphaS(mu,n_f,Lambda)>alpha){
+ if(step>0) step*=-0.4;
+ if(alphaS(mu,n_f,Lambda+step-epsilon)<alphaS(mu,n_f,Lambda+step)) Lambda+=step;
+ else step*=0.4;
+ }else{
+ if(step<0) step*=-0.4;
+ if(Lambda+step<mu) Lambda+=step;
+ else step*=0.4;
+ }
+ }
+ report(DEBUG,"EvtGen") << " Difference of alpha_S from " << alpha << " is " << difference << " at Lambda = " << Lambda << std::endl;
+ if(difference>=epsilon){
+ report(ERROR,"EvtGen") << " ERROR: Did not converge Lambda for alpha_s = " << alpha << " , difference " << difference << " >= " << epsilon << " after " << i << " steps !" << std::endl;
+ ::abort();
+ return -1;
+ }else{
+ report(INFO,"EvtGen") << " For alpha_s = " << alphaS(mu,n_f,Lambda) << " was found Lambda = " << Lambda << std::endl;
+ return Lambda;
+ }
+}
+
+double EvtWilsonCoeficients::eta(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ return alphaS(M_W,n_f,Lambda)/alphaS(mu,n_f,Lambda);
+}
+
+
+EvtComplex EvtWilsonCoeficients::C1(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ EvtComplex myC1(0,0);
+ for(i=0;i<8;i++) myC1+=k[0][i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ return myC1;
+}
+
+EvtComplex EvtWilsonCoeficients::C2(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ EvtComplex myC2(0,0);
+ for(i=0;i<8;i++) myC2+=k[1][i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ return myC2;
+}
+
+EvtComplex EvtWilsonCoeficients::C3(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ EvtComplex myC3(0,0);
+ for(i=0;i<8;i++) myC3+=k[2][i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ return myC3;
+}
+
+EvtComplex EvtWilsonCoeficients::C4(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ EvtComplex myC4(0,0);
+ for(i=0;i<8;i++) myC4+=k[3][i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ return myC4;
+}
+
+EvtComplex EvtWilsonCoeficients::C5(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ EvtComplex myC5(0,0);
+ for(i=0;i<8;i++) myC5+=k[4][i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ return myC5;
+}
+
+EvtComplex EvtWilsonCoeficients::C6(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ EvtComplex myC6(0,0);
+ for(i=0;i<8;i++) myC6+=k[5][i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ return myC6;
+}
+
+
+EvtComplex EvtWilsonCoeficients::C7(double M_t=174.3,double M_W=80.425){
+ return EvtComplex(-0.5*A(M_t*M_t/M_W/M_W),0);
+}
+
+EvtComplex EvtWilsonCoeficients::C8(double M_t=174.3,double M_W=80.425){
+ return EvtComplex(-0.5*F(M_t*M_t/M_W/M_W),0);
+}
+
+EvtComplex EvtWilsonCoeficients::C7eff0(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_t=174.3,double M_W=80.425){
+ int i;
+ EvtComplex myC7eff(0,0);
+ for(i=0;i<8;i++) myC7eff+=h[i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ myC7eff*=C2(mu,n_f,Lambda,M_W);
+ myC7eff+=pow(eta(mu,n_f,Lambda,M_W),16./23.)*C7(M_t,M_W);
+ myC7eff+=8./3.*(pow(eta(mu,n_f,Lambda,M_W),14./23.)-pow(eta(mu,n_f,Lambda,M_W),16./23.))*C8(M_t,M_W);
+ return myC7eff;
+}
+
+EvtComplex EvtWilsonCoeficients::C8eff0(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_t=174.3,double M_W=80.425){
+ int i;
+ EvtComplex myC8eff(0,0);
+ for(i=0;i<8;i++) myC8eff+=g[i]*pow(eta(mu,n_f,Lambda,M_W),a[i]);
+ myC8eff+=pow(eta(mu,n_f,Lambda,M_W),14./23.)*C8(M_t,M_W);
+ return myC8eff;
+}
+
+
+EvtComplex EvtWilsonCoeficients::C10tilda(double sin2W=0.23120,double M_t=174.3,double M_W=80.425){
+ return EvtComplex(-Y(M_t*M_t/M_W/M_W)/sin2W,0);
+}
+
+EvtComplex EvtWilsonCoeficients::C10(double sin2W=0.23120,double M_t=174.3,double M_W=80.425,double ialpha=137.036){
+ return ( 1./2/EvtConst::pi/ialpha*C10tilda(sin2W,M_t,M_W) );
+}
+
+
+double EvtWilsonCoeficients::A(double x){
+ return ( x*(8*x*x+5*x-7)/12/pow(x-1,3) + x*x*(2-3*x)*log(x)/2/pow(x-1,4) );
+}
+
+double EvtWilsonCoeficients::B(double x){
+ return ( x/4/(1-x) + x/4/(x-1)/(x-1)*log(x) );
+}
+
+double EvtWilsonCoeficients::C(double x){
+ return ( x*(x-6)/8/(x-1) + x*(3*x+2)/8/(x-1)/(x-1)*log(x) );
+}
+
+double EvtWilsonCoeficients::D(double x){
+ return ( (-19*x*x*x+25*x*x)/36/pow(x-1,3) + x*x*(5*x*x-2*x-6)/18/pow(x-1,4)*log(x) - 4./9*log(x) );
+}
+
+double EvtWilsonCoeficients::E(double x){
+ return ( x*(18-11*x-x*x)/12/pow(1-x,3) + x*x*(15-16*x+4*x*x)/6/pow(1-x,4)*log(x) - 2./3*log(x) );
+}
+
+double EvtWilsonCoeficients::F(double x){
+ return ( x*(x*x-5*x-2)/4/pow(x-1,3) + 3*x*x/2/pow(x-1,4)*log(x) );
+}
+
+double EvtWilsonCoeficients::Y(double x){
+ return (C(x)-B(x));
+}
+
+double EvtWilsonCoeficients::Z(double x){
+ return (C(x)+1./4*D(x));
+}
+
+
+EvtComplex EvtWilsonCoeficients::C9(int ksi=0,double mu=4.8,int n_f=5,double Lambda=0.2167,double sin2W=0.23120,double M_t=174.3,double M_W=80.425,double ialpha=137.036){
+ return ( 1./2/EvtConst::pi/ialpha*C9tilda(ksi,mu,n_f,Lambda,sin2W,M_t,M_W) );
+}
+
+EvtComplex EvtWilsonCoeficients::C9tilda(int ksi=0,double mu=4.8,int n_f=5,double Lambda=0.2167,double sin2W=0.23120,double M_t=174.3,double M_W=80.425){
+ return ( P0(ksi,mu,n_f,Lambda,M_W) + Y(M_t*M_t/M_W/M_W)/sin2W - 4*Z(M_t*M_t/M_W/M_W) + PE(mu,n_f,Lambda,M_W)*E(M_t*M_t/M_W/M_W) );
+}
+
+EvtComplex EvtWilsonCoeficients::P0(int ksi=0,double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ EvtComplex myP0(0,0);
+ for(i=0;i<8;i++) myP0+=p[i]*pow(eta(mu,n_f,Lambda,M_W),a[i]+1);
+ myP0=EvtConst::pi/alphaS(M_W,n_f,Lambda)*(-0.1875+myP0);
+ myP0+=1.2468-ksi*4./9.*(3*C1(mu,n_f,Lambda,M_W)+C2(mu,n_f,Lambda,M_W)-C3(mu,n_f,Lambda,M_W)-3*C4(mu,n_f,Lambda,M_W));
+ for(i=0;i<8;i++) myP0+=pow(eta(mu,n_f,Lambda,M_W),a[i])*(r[ksi][i]+s[i]*eta(mu,n_f,Lambda,M_W));
+ return myP0;
+}
+
+double EvtWilsonCoeficients::PE(double mu=4.8,int n_f=5,double Lambda=0.2167,double M_W=80.425){
+ int i;
+ double myPE=0.1405;
+ for(i=0;i<8;i++) myPE+=q[i]*pow(eta(mu,n_f,Lambda,M_W),a[i]+1);
+ return myPE;
+}
+
+
+void EvtWilsonCoeficients::CalculateAllCoeficients(){
+ m_Lambda=Lambda(m_alphaMZ,m_n_f,m_M_Z);
+ m_C1=C1(m_mu,m_n_f,m_Lambda,m_M_W);
+ m_C2=C2(m_mu,m_n_f,m_Lambda,m_M_W);
+ m_C3=C3(m_mu,m_n_f,m_Lambda,m_M_W);
+ m_C4=C4(m_mu,m_n_f,m_Lambda,m_M_W);
+ m_C5=C5(m_mu,m_n_f,m_Lambda,m_M_W);
+ m_C6=C6(m_mu,m_n_f,m_Lambda,m_M_W);
+ m_C7=C7(m_M_t,m_M_W);
+ m_C8=C8(m_M_t,m_M_W);
+ m_C7eff0=C7eff0(m_mu,m_n_f,m_Lambda,m_M_t,m_M_W);
+ m_C8eff0=C8eff0(m_mu,m_n_f,m_Lambda,m_M_t,m_M_W);
+ m_C10tilda=C10tilda(m_sin2W,m_M_t,m_M_W);
+ m_C10=C10(m_sin2W,m_M_t,m_M_W,m_ialpha);
+ m_A=A(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_B=B(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_C=C(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_D=D(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_E=E(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_F=F(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_Y=Y(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_Z=Z(m_M_t*m_M_t/m_M_W/m_M_W);
+ m_C9=C9(m_ksi,m_mu,m_n_f,m_Lambda,m_sin2W,m_M_t,m_M_W,m_ialpha);
+ m_C9tilda=C9tilda(m_ksi,m_mu,m_n_f,m_Lambda,m_sin2W,m_M_t,m_M_W);
+ m_P0=P0(m_ksi,m_mu,m_n_f,m_Lambda,m_M_W);
+ m_PE=PE(m_mu,m_n_f,m_Lambda,m_M_W);
+ m_alphaS=alphaS(m_mu,m_n_f,m_Lambda);
+ m_eta=eta(m_mu,m_n_f,m_Lambda,m_M_W);
+ report(INFO,"EvtGen") << " +---------------------------------------" << std::endl;
+ report(INFO,"EvtGen") << " | Table of Wilson coeficients:" << std::endl;
+ report(INFO,"EvtGen") << " +---------------------------------------" << std::endl;
+ report(INFO,"EvtGen") << " | C1 = " << m_C1 << std::endl;
+ report(INFO,"EvtGen") << " | C2 = " << m_C2 << std::endl;
+ report(INFO,"EvtGen") << " | C3 = " << m_C3 << std::endl;
+ report(INFO,"EvtGen") << " | C4 = " << m_C4 << std::endl;
+ report(INFO,"EvtGen") << " | C5 = " << m_C5 << std::endl;
+ report(INFO,"EvtGen") << " | C6 = " << m_C6 << std::endl;
+ report(INFO,"EvtGen") << " | C7 = " << m_C7 << std::endl;
+ report(INFO,"EvtGen") << " | C7eff0 = " << m_C7eff0 << std::endl;
+ report(INFO,"EvtGen") << " | C8 = " << m_C8 << std::endl;
+ report(INFO,"EvtGen") << " | C8eff0 = " << m_C8eff0 << std::endl;
+ report(INFO,"EvtGen") << " | C9 = " << m_C9 << std::endl;
+ report(INFO,"EvtGen") << " | C10 = " << m_C10 << std::endl;
+ report(INFO,"EvtGen") << " +---------------------------------------" << std::endl;
+ report(INFO,"EvtGen") << " | Other constants:" << std::endl;
+ report(INFO,"EvtGen") << " +---------------------------------------" << std::endl;
+ report(INFO,"EvtGen") << " | Scale = " << m_mu << " GeV" << std::endl;
+ report(INFO,"EvtGen") << " | Number of effective flavors = " << m_n_f << std::endl;
+ report(INFO,"EvtGen") << " | Corresponding to aS(M_Z)" << "=" << m_alphaMZ << " Lambda = " << m_Lambda << " GeV" << std::endl;
+ report(INFO,"EvtGen") << " | Strong coupling constant = " << m_alphaS << std::endl;
+ report(INFO,"EvtGen") << " | Electromagnetic constant = 1/" << m_ialpha << std::endl;
+ report(INFO,"EvtGen") << " | Top mass = " << m_M_t << " GeV" << std::endl;
+ report(INFO,"EvtGen") << " | W-boson mass = " << m_M_W << " GeV" << std::endl;
+ report(INFO,"EvtGen") << " | Z-boson mass = " << m_M_Z << " GeV" << std::endl;
+ report(INFO,"EvtGen") << " | Sinus squared of Weinberg angle = " << m_sin2W << std::endl;
+ report(INFO,"EvtGen") << " +---------------------------------------" << std::endl;
+ report(DEBUG,"EvtGen") << " | Intermediate functions:" << std::endl;
+ report(DEBUG,"EvtGen") << " +---------------------------------------" << std::endl;
+ report(DEBUG,"EvtGen") << " | A = " << m_A << std::endl;
+ report(DEBUG,"EvtGen") << " | B = " << m_B << std::endl;
+ report(DEBUG,"EvtGen") << " | C = " << m_C << std::endl;
+ report(DEBUG,"EvtGen") << " | D = " << m_D << std::endl;
+ report(DEBUG,"EvtGen") << " | E = " << m_E << std::endl;
+ report(DEBUG,"EvtGen") << " | F = " << m_F << std::endl;
+ report(DEBUG,"EvtGen") << " | Y = " << m_Y << std::endl;
+ report(DEBUG,"EvtGen") << " | Z = " << m_Z << std::endl;
+ report(DEBUG,"EvtGen") << " | eta = " << m_eta << std::endl;
+ report(DEBUG,"EvtGen") << " | C9~ = " << m_C9tilda << std::endl;
+ report(DEBUG,"EvtGen") << " | C10~ = " << m_C10tilda << std::endl;
+ report(DEBUG,"EvtGen") << " | P0 = " << m_P0 << std::endl;
+ report(DEBUG,"EvtGen") << " | PE = " << m_PE << std::endl;
+ report(DEBUG,"EvtGen") << " +--------------------------------------" << std::endl;
+}
+
+EvtComplex EvtWilsonCoeficients::hzs(double z,double shat,double mu=4.8,double M_b=4.8){
+ EvtComplex i1(0,1);
+ double x=4.*z*z/shat;
+ if(x==0) return (8./27. - 8./9.*log(M_b/mu) - 4./9.*log(shat) + 4./9.*i1*EvtConst::pi);
+ else if(x>1) return (8./27. - 8./9.*log(M_b/mu) - 8./9.*log(z) + 4./9.*x - 2./9.*(2.+x)*sqrt(x-1.) * 2*atan(1./sqrt(x-1.)));
+ else return (8./27. - 8./9.*log(M_b/mu) - 8./9.*log(z) + 4./9.*x - 2./9.*(2.+x)*sqrt(1.-x) * (log(fabs(sqrt(1.-x)+1)/fabs(sqrt(1.-x)-1))-i1*EvtConst::pi));
+}
+
+double EvtWilsonCoeficients::fz(double z){
+ return (1. - 8.*z*z + 8.*pow(z,6.) - pow(z,8.) - 24.*pow(z,4.)*log(z));
+}
+
+double EvtWilsonCoeficients::kappa(double z,double alpha_S){
+ return (1. - 2.*alpha_S/3./EvtConst::pi*((EvtConst::pi*EvtConst::pi-31./4.)*(1.-z)*(1.-z) + 1.5) );
+}
+
+double EvtWilsonCoeficients::etatilda(double shat,double alpha_S){
+ return (1. + alpha_S/EvtConst::pi*omega(shat));
+}
+
+double EvtWilsonCoeficients::omega(double shat){
+ double o=0;
+ o -= (2./9.)*EvtConst::pi*EvtConst::pi;
+ o -= (4./3.)*li2spence_(&shat);
+ o -= (2./3.)*log(shat)*log(1.-shat);
+ o -= log(1.-shat)*(5.+4.*shat)/(3.+6.*shat);
+ o -= log(shat)*2.*shat*(1.+shat)*(1.-2.*shat)/3./(1.-shat)/(1.-shat)/(1.+2.*shat);
+ o += (5.+9.*shat-6.*shat*shat)/6./(1.-shat)/(1.+2.*shat);
+ return o;
+}
+
+EvtComplex EvtWilsonCoeficients::C9efftilda(double z,double shat,double alpha_S,EvtComplex c1,EvtComplex c2,EvtComplex c3,EvtComplex c4,EvtComplex c5,EvtComplex c6,EvtComplex c9tilda,int ksi=0){
+ EvtComplex c(0,0);
+ c += (c9tilda+ksi*4./9.*(3.*c1+c2-c3-3.*c4))*etatilda(shat,alpha_S);
+ c += hzs(z,shat)*(3.*c1+c2+3.*c3+c4+3.*c5+c6);
+ c -= 0.5*hzs(1,shat)*(4.*c3+4.*c4+3.*c5+c6);
+ c -= 0.5*hzs(0,shat)*(c3+3.*c4);
+ c += 2./9.*(3.*c3+c4+3.*c5+c6);
+ return c;
+}
+
+EvtComplex EvtWilsonCoeficients::C7b2sg(double alpha_S,double et,EvtComplex c2,double M_t=174.3,double M_W=80.425){
+ EvtComplex i1(0,1);
+ return (i1*alpha_S*(2./9.*pow(et,14./23.)*(0.5*F(M_t*M_t/M_W/M_W)-0.1687)-0.03*c2));
+}
+
+EvtComplex EvtWilsonCoeficients::Yld(double q2,double *ki,double *Gi,double *Mi,int ni,EvtComplex c1,EvtComplex c2,EvtComplex c3,EvtComplex c4,EvtComplex c5,EvtComplex c6,double ialpha=137.036){
+ EvtComplex i1(0,1);
+ EvtComplex y(0,0);
+ int i;
+ for(i=0;i<ni;i++) y+=ki[i]*Gi[i]*Mi[i]/(q2-Mi[i]*Mi[i]-i1*Mi[i]*Gi[i]);
+ return (-3.*ialpha*ialpha*y*EvtConst::pi*(3.*c1+c2+3.*c3+c4+3.*c5+c6));
+}
--- /dev/null
+//---------------------------------------------------------------------------------
+//
+// Wilson coeficients according to A.J.Buras and M.Munz, Phys.Rev. D52, 186. (1995)
+// Thanks to N. Nikitine for example code for Pythia
+// Coeficient C8eff and C2 correction to C7eff taken from:
+// A.J.Buras, M.Misiak, M.Munz, S.Pokorski, Nucl.Phys. B424, 374 (1994)
+//
+// Used constants come from PDG 2004
+//
+// P. Reznicek 18.02.2005
+//
+// 04/03/2005 PR Added h-function
+//
+//---------------------------------------------------------------------------------
+
+#ifndef EVTWILSONCOEFICIENTS_HH
+#define EVTWILSONCOEFICIENTS_HH
+
+#include "EvtGenBase/EvtComplex.hh"
+
+class EvtWilsonCoeficients {
+
+public:
+
+ EvtWilsonCoeficients();
+ //~EvtWilsonCoeficients() {};
+
+ // calculate strong coupling constant for n_f flavours and scale mu
+ double alphaS(double mu,int n_f,double Lambda);
+ // calculate Lambda matching alphaS using simple iterative method
+ double Lambda(double alpha,int n_f,double mu,double epsilon,int maxstep);
+ // eta-function: ratio of strong coupling constants
+ double eta(double mu,int n_f,double Lambda,double M_W);
+
+ // Wilson coeficients C1-C6
+ EvtComplex C1(double mu,int n_f,double Lambda,double M_W);
+ EvtComplex C2(double mu,int n_f,double Lambda,double M_W);
+ EvtComplex C3(double mu,int n_f,double Lambda,double M_W);
+ EvtComplex C4(double mu,int n_f,double Lambda,double M_W);
+ EvtComplex C5(double mu,int n_f,double Lambda,double M_W);
+ EvtComplex C6(double mu,int n_f,double Lambda,double M_W);
+ // Wilson coeficietns C7,C8 => C7eff
+ EvtComplex C7(double M_t,double M_W);
+ EvtComplex C8(double M_t,double M_W);
+ EvtComplex C7eff0(double mu,int n_f,double Lambda,double M_t,double M_W);
+ EvtComplex C8eff0(double mu,int n_f,double Lambda,double M_t,double M_W);
+ // Wilson coeficient C10
+ EvtComplex C10tilda(double sin2W,double M_t,double M_W);
+ EvtComplex C10(double sin2W,double M_t,double M_W,double ialpha);
+ // Wilson coeficient C9
+ double PE(double mu,int n_f,double Lambda,double M_W);
+ EvtComplex P0(int ksi,double mu,int n_f,double Lambda,double M_W);
+ EvtComplex C9tilda(int ksi,double mu,int n_f,double Lambda,double sin2W,double M_t,double M_W);
+ EvtComplex C9(int ksi,double mu,int n_f,double Lambda,double sin2W,double M_t,double M_W,double ialpha);
+
+ // Intermediate functions A-F,Y,Z
+ double A(double x);
+ double B(double x);
+ double C(double x);
+ double D(double x);
+ double E(double x);
+ double F(double x);
+ double Y(double x);
+ double Z(double x);
+
+ // Mode decay specific functions
+ EvtComplex hzs(double z,double shat,double mu,double M_b);
+ double fz(double z);
+ double kappa(double z,double alpha_S);
+ double etatilda(double shat,double alpha_S);
+ double omega(double shat);
+ EvtComplex C9efftilda(double z,double shat,double alpha_S,EvtComplex c1,EvtComplex c2,EvtComplex c3,EvtComplex c4,EvtComplex c5,EvtComplex c6,EvtComplex c9tilda,int ksi);
+ EvtComplex C7b2sg(double alpha_S,double et,EvtComplex c2,double M_t,double M_W);
+ EvtComplex Yld(double q2,double ki[],double Gi[],double Mi[],int ni,EvtComplex c1,EvtComplex c2,EvtComplex c3,EvtComplex c4,EvtComplex c5,EvtComplex c6,double ialpha);
+
+ // User function
+ void CalculateAllCoeficients();
+ // Set parameters
+ void SetLambda(double lambda) { m_Lambda=lambda; }
+ void CalculateLambda(double epsilon,int maxstep) { m_Lambda=Lambda(m_alphaMZ,m_n_f,m_mu,epsilon,maxstep); }
+ void SetStrongCouplingAtZMass(double alphaMZ) { m_alphaMZ=alphaMZ; }
+ void SetScale(double mu) { m_mu=mu; }
+ void SetNumberOfFlavours(int n_f) { m_n_f=n_f; }
+ void SetZMass(double M_Z) { m_M_Z=M_Z; }
+ void SetWMass(double M_W) { m_M_W=M_W; }
+ void SetTopMass(double M_t) { m_M_t=M_t; }
+ void SetSin2WeinbergAngle(double sin2W) { m_sin2W=sin2W;}
+ void SetInvElMagCoupling(double ialpha) { m_ialpha=ialpha; }
+ void SetRenormalizationScheme(std::string scheme);
+ // Get parameters
+ double GetLambda() { return m_Lambda; }
+ double GetStrongCouplingAtZMass() { return m_alphaMZ; }
+ double GetStrongCouplingConst() { return m_alphaS; }
+ double GetScale() { return m_mu; }
+ int GetNumberOfFlavours() { return m_n_f; }
+ int GetRenormSchemePar() { return m_ksi; }
+ double GetZMass() { return m_M_Z; }
+ double GetWMass() { return m_M_W; }
+ double GetTopMass() { return m_M_t; }
+ double GetSin2WeinbergAngle() { return m_sin2W;}
+ double GetInvElMagCoupling() { return m_ialpha; }
+ double GetEta() { return m_eta; }
+ // Get results
+ double GetA() { return m_A; }
+ double GetB() { return m_B; }
+ double GetC() { return m_C; }
+ double GetD() { return m_D; }
+ double GetE() { return m_E; }
+ double GetF() { return m_F; }
+ double GetY() { return m_Y; }
+ double GetZ() { return m_Z; }
+ EvtComplex GetC1() { return m_C1; }
+ EvtComplex GetC2() { return m_C2; }
+ EvtComplex GetC3() { return m_C3; }
+ EvtComplex GetC4() { return m_C4; }
+ EvtComplex GetC5() { return m_C5; }
+ EvtComplex GetC6() { return m_C6; }
+ EvtComplex GetC7() { return m_C7; }
+ EvtComplex GetC8() { return m_C8; }
+ EvtComplex GetC9() { return m_C9; }
+ EvtComplex GetC10() { return m_C10; }
+ EvtComplex GetC7eff0() { return m_C7eff0; }
+ EvtComplex GetC8eff0() { return m_C8eff0; }
+ EvtComplex GetC9tilda() { return m_C9tilda; }
+ EvtComplex GetC10tilda() { return m_C10tilda; }
+ EvtComplex GetP0() { return m_P0; }
+ double GetPE() { return m_PE; }
+
+private:
+
+ int m_n_f,m_ksi;
+ double m_Lambda,m_alphaMZ,m_mu,m_M_Z,m_M_t,m_M_W,m_alphaS,m_eta,m_sin2W,m_ialpha;
+ EvtComplex m_C1,m_C2,m_C3,m_C4,m_C5,m_C6,m_C7,m_C7eff0,m_C8,m_C8eff0,m_C9,m_C9tilda,m_C10,m_C10tilda,m_P0;
+ double m_A,m_B,m_C,m_D,m_E,m_F,m_Y,m_Z,m_PE;
+
+ double k[6][8],a[8],h[8],p[8],r[2][8],s[8],q[8],g[8];
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVVpipiMoxhay.hh
+//
+// Description: This model is based on the proposal by Tuan and Lipkin
+// (Phys.Lett.B206:349-353,1988) and the subsequent model
+// by Moxhay (Phys.Rev.D39:3497,1989) for the dipion spectrum
+// in Y(3S) -> pi+ pi- Y(1S). Please Note: in Moxhay's paper,
+// he wrote the fitted value of the parameter Im(B)/A as
+// -0.2983. However, using his quoted value leads to the wrong
+// spectrum. Changing the sign of his quoted Im(B)/A fixes the
+// shape and reproduces his result. Therefore, please pass
+// Im(B)/A = 0.2983 and Re(B)/A = 0.2196 to get the correct shape
+// based on his fit to the CLEO data.
+//
+// Example:
+//
+// Decay Upsilon(3S)
+// 1.0000 Upsilon pi+ pi- Y3STOY1SPIPIMOXHAY 0.2196 0.2983;
+// Enddecay
+//
+// --> the order of parameters is: Re(B)/A Im(B)/A
+//
+// Modification history:
+//
+// SEKULA November 02, 2007 Module created
+//
+//------------------------------------------------------------------------
+
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtY3SToY1SpipiMoxhay.hh"
+#include <string>
+using std::endl;
+
+EvtY3SToY1SpipiMoxhay::~EvtY3SToY1SpipiMoxhay() {}
+
+std::string EvtY3SToY1SpipiMoxhay::getName(){
+
+ return "Y3STOY1SPIPIMOXHAY";
+
+}
+
+
+EvtDecayBase* EvtY3SToY1SpipiMoxhay::clone(){
+
+ return new EvtY3SToY1SpipiMoxhay;
+
+}
+
+void EvtY3SToY1SpipiMoxhay::init(){
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ // check that there are 2 arguments
+ checkNArg(2);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+
+
+
+ if ((!(getDaug(1)==PIP&&getDaug(2)==PIM))&&
+ (!(getDaug(1)==PI0&&getDaug(2)==PI0))) {
+ report(ERROR,"EvtGen") << "EvtY3SToY1SpipiMoxhay generator expected "
+ << " pi+ and pi- (or pi0 and pi0) "
+ << "as 2nd and 3rd daughter. "<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+}
+
+void EvtY3SToY1SpipiMoxhay::initProbMax() {
+ setProbMax(0.2);
+}
+
+void EvtY3SToY1SpipiMoxhay::decay( EvtParticle *p){
+
+ p->initializePhaseSpace(getNDaug(),getDaugs());
+
+ EvtParticle *v,*s1,*s2;
+
+ v=p->getDaug(0);
+ s1=p->getDaug(1);
+ s2=p->getDaug(2);
+
+
+ // setup the parameters needed for this model
+ double g_spp = 0.64;
+ double lambda = -0.73;
+ double m_sigma = 0.71;
+ double f_pi = 0.094;
+ double m_pi = s1->getP4().mass();
+
+ double MV1 = p->getP4().mass();
+ double MV2 = v->getP4().mass();
+
+ double q = (s1->getP4()+s2->getP4()).mass();
+
+ double EV2 = (MV1*MV1 - MV2*MV2 - q*q)/(2.0 * q);
+
+ double ReB_over_A = getArg(0);
+ double ImB_over_A = getArg(1);
+
+
+ EvtComplex Xi;
+
+ Xi = EvtComplex( 2.0/EvtConst::pi * ( 1.0 - sqrt(1.0 - 4*m_pi*m_pi/(q*q)) * log( (sqrt(q*q) + sqrt(q*q-4.0*m_pi*m_pi))/(2*m_pi) )),
+ sqrt(1.0 - 4*m_pi*m_pi/(q*q)));
+
+ // The form factor
+ EvtComplex F;
+
+ F = (g_spp*g_spp + lambda*(m_sigma*m_sigma - q*q)) / ( ( (m_sigma*m_sigma - q*q)*(1.0 - lambda*Xi) - (g_spp*g_spp*Xi) ) * 1.0/(8.0 * EvtConst::pi * f_pi*f_pi) * q * q );
+
+ EvtComplex B_over_A;
+ B_over_A = EvtComplex(ReB_over_A, ImB_over_A);
+
+ // The dGamma/d(M_pipi) spectrum
+ EvtComplex dGdMpp;
+
+ dGdMpp = abs2((q*q*F - B_over_A)) * q * sqrt(q*q - 4 * m_pi *m_pi) * sqrt(EV2 * EV2 - MV2*MV2);
+
+
+ setProb( real(dGdMpp) );
+ return ;
+
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtVVpipiMoxhay.hh
+//
+// Description: This model is based on the proposal by Tuan and Lipkin
+// (Phys.Lett.B206:349-353,1988) and the subsequent model
+// by Moxhay (Phys.Rev.D39:3497,1989) for the dipion spectrum
+// in Y(3S) -> pi+ pi- Y(1S). Please Note: in Moxhay's paper,
+// he wrote the fitted value of the parameter Im(B)/A as
+// -0.2983. However, using his quoted value leads to the wrong
+// spectrum. Changing the sign of his quoted Im(B)/A fixes the
+// shape and reproduces his result. Therefore, please pass
+// Im(B)/A = 0.2983 and Re(B)/A = 0.2196 to get the correct shape
+// based on his fit to the CLEO data.
+//
+// Example:
+//
+// Decay Upsilon(3S)
+// 1.0000 Upsilon pi+ pi- Y3STOY1SPIPIMOXHAY 0.2196 0.2983;
+// Enddecay
+//
+// --> the order of parameters is: Re(B)/A Im(B)/A
+//
+//
+// Modification history:
+//
+// SEKULA November 02, 2007 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTY3STOY1SPIPIMOXHAY_HH
+#define EVTY3STOY1SPIPIMOXHAY_HH
+
+#include "EvtGenBase/EvtDecayProb.hh"
+
+class EvtParticle;
+
+class EvtY3SToY1SpipiMoxhay:public EvtDecayProb {
+
+public:
+
+ EvtY3SToY1SpipiMoxhay() {}
+ virtual ~EvtY3SToY1SpipiMoxhay();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtYmSToYnSpipiCLEO.hh
+//
+// Description: This model is based on matrix element method used by
+// CLEO in Phys.Rev.D76:072001,2007 to model the dipion mass
+// and helicity angle distribution in the decays Y(mS) -> pi pi Y(nS),
+// where m,n are integers and m>n and m<4.
+// This model has two parameters, Re(B/A) and Im(B/A), which
+// are coefficients of the matrix element's terms determined by
+// the CLEO fits.
+//
+// Example:
+//
+// Decay Upsilon(3S)
+// 1.0000 Upsilon pi+ pi- YMSTOYNSPIPICLEO -2.523 1.189;
+// Enddecay
+// Decay Upsilon(3S)
+// 1.0000 Upsilon(2S) pi+ pi- YMSTOYNSPIPICLEO -0.395 0.001;
+// Enddecay
+// Decay Upsilon(2S)
+// 1.0000 Upsilon pi+ pi- YMSTOYNSPIPICLEO -0.753 0.000;
+// Enddecay
+//
+// --> the order of parameters is: Re(B/A) Im(B/A)
+//
+// Modification history:
+//
+// SEKULA Jan. 28, 2008 Module created
+//
+//------------------------------------------------------------------------
+
+
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtRandom.hh"
+#include "EvtGenModels/EvtYmSToYnSpipiCLEO.hh"
+#include <string>
+using std::endl;
+
+EvtYmSToYnSpipiCLEO::~EvtYmSToYnSpipiCLEO() {}
+
+std::string EvtYmSToYnSpipiCLEO::getName(){
+
+ return "YMSTOYNSPIPICLEO";
+
+}
+
+
+EvtDecayBase* EvtYmSToYnSpipiCLEO::clone(){
+
+ return new EvtYmSToYnSpipiCLEO;
+
+}
+
+void EvtYmSToYnSpipiCLEO::init(){
+
+ static EvtId PIP=EvtPDL::getId("pi+");
+ static EvtId PIM=EvtPDL::getId("pi-");
+ static EvtId PI0=EvtPDL::getId("pi0");
+
+ // check that there are 2 arguments
+ checkNArg(2);
+ checkNDaug(3);
+
+ checkSpinParent(EvtSpinType::VECTOR);
+ checkSpinDaughter(0,EvtSpinType::VECTOR);
+
+
+
+ if ((!(getDaug(1)==PIP&&getDaug(2)==PIM))&&
+ (!(getDaug(1)==PI0&&getDaug(2)==PI0))) {
+ report(ERROR,"EvtGen") << "EvtYmSToYnSpipiCLEO generator expected "
+ << " pi+ and pi- (or pi0 and pi0) "
+ << "as 2nd and 3rd daughter. "<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+}
+
+void EvtYmSToYnSpipiCLEO::initProbMax() {
+ setProbMax(2.0);
+}
+
+void EvtYmSToYnSpipiCLEO::decay( EvtParticle *p){
+
+
+ // We want to simulate the following process:
+ //
+ // Y(mS) -> Y(nS) X, X -> pi+ pi- (pi0 pi0)
+ //
+ // The CLEO analysis assumed such an intermediate process
+ // were occurring, and wrote down the matrix element
+ // and its components according to this assumption.
+ //
+ //
+
+
+ double ReB_over_A = getArg(0);
+ double ImB_over_A = getArg(1);
+
+ p->makeDaughters(getNDaug(),getDaugs());
+ EvtParticle *v,*s1,*s2;
+ v=p->getDaug(0);
+ s1=p->getDaug(1);
+ s2=p->getDaug(2);
+
+ double m_pi = s1->getP4().mass();
+ double M_mS = p->getP4().mass();
+ double M_nS = v->getP4().mass();
+
+// // report(INFO,"EvtYmSToYnSpipiCLEO") << "M_nS = " << v->getP4().mass() << endl;
+
+ EvtVector4R P_nS;
+ EvtVector4R P_pi1;
+ EvtVector4R P_pi2;
+
+ // Perform a simple accept/reject until we get a configuration of the
+ // dipion system that passes
+ bool acceptX = false;
+
+ while( false == acceptX )
+ {
+
+ // Begin by generating a random X mass between the kinematic
+ // boundaries, 2*m_pi and M(mS) - M(nS)
+
+ double mX = EvtRandom::Flat(2.0 * m_pi, M_mS-M_nS);
+
+ // report(INFO,"EvtYmSToYnSpipiCLEO") << "m_X = " << mX << endl;
+
+ // Now create a two-body decay from the Y(mS) in its rest frame
+ // of Y(mS) -> Y(nS) + X
+
+ double masses[2];
+ masses[0] = M_nS;
+ masses[1] = mX;
+
+ EvtVector4R p4[2];
+
+ EvtGenKine::PhaseSpace( 2, masses, p4, M_mS );
+
+ P_nS = p4[0];
+ EvtVector4R P_X = p4[1];
+
+ // Now create the four-vectors for the two pions in the X
+ // rest frame, X -> pi pi
+
+ masses[0] = s1->mass();
+ masses[1] = s2->mass();
+
+ EvtGenKine::PhaseSpace( 2, masses, p4, P_X.mass() );
+
+ // compute cos(theta), the polar helicity angle between a pi+ and
+ // the direction opposite the Y(mS) in the X rest frame. If the pions are pi0s, then
+ // choose the one where cos(theta) = [0:1].
+
+ EvtVector4R P_YmS_X = boostTo(p->getP4(), P_X);
+ double costheta = - p4[0].dot(P_YmS_X)/(p4[0].d3mag()*P_YmS_X.d3mag());
+ if (EvtPDL::name(s1->getId()) == "pi0") {
+ if (costheta < 0) {
+ costheta = - p4[1].dot(P_YmS_X)/(p4[1].d3mag()*P_YmS_X.d3mag());
+ }
+ }
+ if (EvtPDL::name(s1->getId()) == "pi-") {
+ costheta = - p4[1].dot(P_YmS_X)/(p4[1].d3mag()*P_YmS_X.d3mag());
+ }
+
+ // // report(INFO,"EvtYmSToYnSpipiCLEO") << "cos(theta) = " << costheta << endl;
+
+
+
+ // Now boost the pion four vectors into the Y(mS) rest frame
+ P_pi1 = boostTo(p4[0],P_YmS_X);
+ P_pi2 = boostTo(p4[1],P_YmS_X);
+
+ // Use a simple accept-reject to test this dipion system
+
+ // Now compute the components of the matrix-element squared
+ //
+ // M(x,y)^2 = Q(x,y)^2 + |B/A|^2 * E1E2(x,y)^2 + 2*Re(B/A)*Q(x,y)*E1E2(x,y)
+ //
+ // x=m_pipi^2 and y = cos(theta), and where
+ //
+ // Q(x,y) = (x^2 + 2*m_pi^2)
+ //
+ // E1E2(x,y) = (1/4) * ( (E1 + E2)^2 - (E2 - E1)^2_max * cos(theta)^2 )
+ //
+ // and E1 + E2 = M_mS - M_nS and (E2 - E1)_max is the maximal difference
+ // in the energy of the two pions allowed for a given mX value.
+ //
+
+ double Q = (mX*mX - 2.0 * m_pi * m_pi);
+
+ double deltaEmax =
+ - 2.0 *
+ sqrt( P_nS.get(0)*P_nS.get(0) - M_nS*M_nS ) *
+ sqrt( 0.25 - pow(m_pi/mX,2.0));
+
+ double sumE = (M_mS*M_mS - M_nS*M_nS + mX*mX)/(2.0 * M_mS);
+
+ double E1E2 = 0.25 * ( pow(sumE, 2.0) - pow( deltaEmax * costheta, 2.0) );
+
+ double M2 = Q*Q + (pow(ReB_over_A,2.0) + pow(ImB_over_A,2.0)) * E1E2*E1E2 + 2.0 * ReB_over_A * Q * E1E2;
+
+ // phase space factor
+ //
+ // this is given as d(PS) = C * p(*)_X * p(X)_{pi+} * d(cosTheta) * d(m_X)
+ //
+ // where C is a normalization constant, p(*)_X is the X momentum magnitude in the
+ // Y(mS) rest frame, and p(X)_{pi+} is the pi+/pi0 momentum in the X rest frame
+ //
+
+ double dPS =
+ sqrt( (M_mS*M_mS - pow(M_nS + mX,2.0)) * (M_mS*M_mS - pow(M_nS - mX,2.0)) ) * // p(*)_X
+ sqrt(mX*mX - 4*m_pi*m_pi); // p(X)_{pi}
+
+ // the double-differential decay rate dG/(dcostheta dmX)
+ double dG = M2 * dPS;
+
+ // Throw a uniform random number from 0 --> probMax and do accept/reject on this
+
+ double rnd = EvtRandom::Flat(0.0,getProbMax(0.0));
+
+ if (rnd < dG)
+ acceptX = true;
+
+ }
+
+
+ // initialize the daughters
+ v->init( getDaugs()[0], P_nS);
+ s1->init( getDaugs()[1], P_pi1);
+ s2->init( getDaugs()[2], P_pi2);
+
+// report(INFO,"EvtYmSToYnSpipiCLEO") << "M_nS = " << v->getP4().mass() << endl;
+// report(INFO,"EvtYmSToYnSpipiCLEO") << "m_pi = " << s1->getP4().mass() << endl;
+// report(INFO,"EvtYmSToYnSpipiCLEO") << "m_pi = " << s2->getP4().mass() << endl;
+// report(INFO,"EvtYmSToYnSpipiCLEO") << "M2 = " << M2 << endl;
+
+ // Pass the polarization of the parent Upsilon
+ EvtVector4C ep0,ep1,ep2;
+
+ ep0=p->eps(0);
+ ep1=p->eps(1);
+ ep2=p->eps(2);
+
+
+ vertex(0,0,(ep0*v->epsParent(0).conj()));
+ vertex(0,1,(ep0*v->epsParent(1).conj()));
+ vertex(0,2,(ep0*v->epsParent(2).conj()));
+
+ vertex(1,0,(ep1*v->epsParent(0).conj()));
+ vertex(1,1,(ep1*v->epsParent(1).conj()));
+ vertex(1,2,(ep1*v->epsParent(2).conj()));
+
+ vertex(2,0,(ep2*v->epsParent(0).conj()));
+ vertex(2,1,(ep2*v->epsParent(1).conj()));
+ vertex(2,2,(ep2*v->epsParent(2).conj()));
+
+
+ return ;
+
+}
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtYmSToYnSpipiCLEO.hh
+//
+// Description: This model is based on matrix element method used by
+// CLEO in Phys.Rev.D76:072001,2007 to model the dipion mass
+// and helicity angle distribution in the decays Y(mS) -> pi pi Y(nS),
+// where m,n are integers and m>n and m<4.
+// This model has two parameters, Re(B/A) and Im(B/A), which
+// are coefficients of the matrix element's terms determined by
+// the CLEO fits.
+//
+// Example:
+//
+// Decay Upsilon(3S)
+// 1.0000 Upsilon pi+ pi- YMSTOYNSPIPICLEO -2.523 1.189;
+// Enddecay
+// Decay Upsilon(3S)
+// 1.0000 Upsilon(2S) pi+ pi- YMSTOYNSPIPICLEO -0.395 0.001;
+// Enddecay
+// Decay Upsilon(2S)
+// 1.0000 Upsilon pi+ pi- YMSTOYNSPIPICLEO -0.753 0.000;
+// Enddecay
+//
+// --> the order of parameters is: Re(B/A) Im(B/A)
+//
+// Modification history:
+//
+// SEKULA Jan. 28, 2008 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTYMSTOYNSPIPICLEO_HH
+#define EVTYMSTOYNSPIPICLEO_HH
+
+// #include "EvtGenBase/EvtDecayProb.hh"
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtParticle;
+
+class EvtYmSToYnSpipiCLEO:public EvtDecayAmp {
+ //EvtDecayProb {
+
+public:
+
+ EvtYmSToYnSpipiCLEO() {}
+ virtual ~EvtYmSToYnSpipiCLEO();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2003 Caltech, UCSB
+//
+// Module: EvtbTosllAli.cc
+//
+// Description: Routine to implement b->sll decays according to Ali '02 et al.
+//
+// Modification history:
+//
+// Ryd March 30, 2003 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtbTosllAli.hh"
+#include "EvtGenModels/EvtbTosllAliFF.hh"
+#include "EvtGenModels/EvtbTosllAmp.hh"
+#include "EvtGenModels/EvtbTosllScalarAmp.hh"
+#include "EvtGenModels/EvtbTosllVectorAmp.hh"
+
+#include <string>
+using std::endl;
+
+EvtbTosllAli::~EvtbTosllAli() {}
+
+std::string EvtbTosllAli::getName(){
+
+ return "BTOSLLALI";
+}
+
+
+EvtDecayBase* EvtbTosllAli::clone(){
+
+ return new EvtbTosllAli;
+
+}
+
+void EvtbTosllAli::decay( EvtParticle *p ){
+
+ setWeight(p->initializePhaseSpace(getNDaug(),getDaugs(),_poleSize,1,2));
+
+ _calcamp->CalcAmp(p,_amp2,_aliffmodel);
+
+}
+
+
+void EvtbTosllAli::initProbMax(){
+
+ EvtId parnum,mesnum,l1num,l2num;
+
+ parnum = getParentId();
+ mesnum = getDaug(0);
+ l1num = getDaug(1);
+ l2num = getDaug(2);
+
+ //This routine sets the _poleSize.
+ double mymaxprob = _calcamp->CalcMaxProb(parnum,mesnum,
+ l1num,l2num,
+ _aliffmodel,_poleSize);
+
+ setProbMax(mymaxprob);
+
+}
+
+
+void EvtbTosllAli::init(){
+
+ checkNArg(0);
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton+ lepton-
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(getDaug(0));
+
+ if ( !(mesontype == EvtSpinType::VECTOR||
+ mesontype == EvtSpinType::SCALAR)) {
+ report(ERROR,"EvtGen") << "EvtbTosllAli generator expected "
+ << " a SCALAR or VECTOR 1st daughter, found:"<<
+ EvtPDL::name(getDaug(0)).c_str()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::DIRAC);
+
+ _aliffmodel = new EvtbTosllAliFF();
+ if (mesontype == EvtSpinType::SCALAR){
+ _calcamp = new EvtbTosllScalarAmp(-0.313,4.344,-4.669);
+ }
+ if (mesontype == EvtSpinType::VECTOR){
+ _calcamp = new EvtbTosllVectorAmp(-0.313,4.344,-4.669);
+ }
+
+}
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2003 Caltech
+//
+// Module: EvtGen/EvtbTosllAli.hh
+//
+// Description:Implementation of the b->sll decays according to Ali '01 et al.
+//
+// Modification history:
+//
+// Ryd March 30, 2003 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLALI_HH
+#define EVTBTOSLLALI_HH
+
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtbTosllFF;
+class EvtbTosllAmp;
+class EvtParticle;
+
+class EvtbTosllAli:public EvtDecayAmp {
+
+public:
+
+ EvtbTosllAli(): _aliffmodel(0), _calcamp(0) {}
+ virtual ~EvtbTosllAli();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+private:
+ EvtbTosllFF *_aliffmodel;
+ EvtbTosllAmp *_calcamp;
+ double _poleSize;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module:
+// Description: Form factors for b->sll according to Ali '02 et al.
+// PRD 66 34002
+//
+// Modification history:
+//
+// Ryd March 30, 2003 Module created
+//
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtbTosllAliFF.hh"
+#include <math.h>
+
+EvtbTosllAliFF::EvtbTosllAliFF(){}
+
+
+void EvtbTosllAliFF::getScalarFF(EvtId parent, EvtId daught,
+ double t, double /*mass*/,
+ double& fp,double& f0,double& ft){
+
+ double m=EvtPDL::getMeanMass(parent);
+ //double md=EvtPDL::getMeanMass(daught);
+
+ double shat=t/(m*m);
+ double shat2=shat*shat;
+ double shat3=shat2*shat;
+
+ fp = 0.278*exp(1.568*shat+0.470*shat2+0.885*shat3);
+ f0 = 0.278*exp(0.740*shat+0.080*shat2+0.425*shat3);
+ ft = 0.300*exp(1.600*shat+0.501*shat2+0.796*shat3);
+
+}
+
+
+void EvtbTosllAliFF::getVectorFF(EvtId parent, EvtId daught,
+ double t, double /*mass*/,
+ double& a1,double& a2,double& a0, double& v,
+ double& t1, double& t2, double& t3 ){
+
+
+ double m=EvtPDL::getMeanMass(parent);
+
+ double shat=t/(m*m);
+ double shat2=shat*shat;
+
+ //this is Ali 'minimum allowed form factors'
+ a1=0.294*exp(0.656*shat+0.456*shat2);
+ a2=0.246*exp(1.237*shat+0.822*shat2);
+ a0=0.412*exp(1.543*shat+0.954*shat2);
+ v=0.399*exp(1.537*shat+1.123*shat2);
+
+ t1=0.334*exp(1.575*shat+1.140*shat2);
+ t2=0.334*exp(0.562*shat+0.481*shat2);
+ t3=0.234*exp(1.230*shat+1.089*shat2);
+
+}
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module:
+// Description: Form factors for b->sll according to Ali '02 et al.
+// PRD 66 34002
+//
+// Modification history:
+//
+// Ryd March 30, 2003 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLALIFF_HH
+#define EVTBTOSLLALIFF_HH
+
+#include "EvtGenModels/EvtbTosllFF.hh"
+
+class EvtId;
+
+
+class EvtbTosllAliFF : public EvtbTosllFF {
+
+public:
+
+ EvtbTosllAliFF();
+
+ void getScalarFF(EvtId parent, EvtId daught,double t, double mass,
+ double& fp,double& f0,double& ft);
+ void getVectorFF(EvtId parent, EvtId daught,double t, double mass,
+ double& a1,double& a2,double& a0, double& v,
+ double& t1, double& t2, double& t3 );
+
+
+
+private:
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtbTosllAmp.cc
+//
+// Description: Routine to implement semileptonic decays to pseudo-scalar
+// mesons.
+//
+// Modification history:
+//
+// DJL April 17,1998 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenModels/EvtbTosllAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenBase/EvtScalarParticle.hh"
+#include "EvtGenBase/EvtVectorParticle.hh"
+#include "EvtGenBase/EvtDiLog.hh"
+
+double EvtbTosllAmp::CalcMaxProb( EvtId parent, EvtId meson,
+ EvtId lepton1, EvtId lepton2,
+ EvtbTosllFF *FormFactors,
+ double& poleSize) {
+
+ //This routine takes the arguements parent, meson, and lepton
+ //number, and a form factor model, and returns a maximum
+ //probability for this semileptonic form factor model. A
+ //brute force method is used. The 2D cos theta lepton and
+ //q2 phase space is probed.
+
+ //Start by declaring a particle at rest.
+
+ //It only makes sense to have a scalar parent. For now.
+ //This should be generalized later.
+
+ EvtScalarParticle *scalar_part;
+ EvtParticle *root_part;
+
+ scalar_part=new EvtScalarParticle;
+
+ //cludge to avoid generating random numbers!
+ scalar_part->noLifeTime();
+
+ EvtVector4R p_init;
+
+ p_init.set(EvtPDL::getMass(parent),0.0,0.0,0.0);
+ scalar_part->init(parent,p_init);
+ root_part=(EvtParticle *)scalar_part;
+ root_part->setDiagonalSpinDensity();
+
+ EvtParticle *daughter, *lep1, *lep2;
+
+ EvtAmp amp;
+
+ EvtId listdaug[3];
+ listdaug[0] = meson;
+ listdaug[1] = lepton1;
+ listdaug[2] = lepton2;
+
+ amp.init(parent,3,listdaug);
+
+ root_part->makeDaughters(3,listdaug);
+ daughter=root_part->getDaug(0);
+ lep1=root_part->getDaug(1);
+ lep2=root_part->getDaug(2);
+
+ //cludge to avoid generating random numbers!
+ daughter->noLifeTime();
+ lep1->noLifeTime();
+ lep2->noLifeTime();
+
+
+ //Initial particle is unpolarized, well it is a scalar so it is
+ //trivial
+ EvtSpinDensity rho;
+ rho.setDiag(root_part->getSpinStates());
+
+ double mass[3];
+
+ double m = root_part->mass();
+
+ EvtVector4R p4meson, p4lepton1, p4lepton2, p4w;
+ double q2max;
+
+ double q2, elepton, plepton;
+ int i,j;
+ double erho,prho,costl;
+
+ double maxfoundprob = 0.0;
+ double prob = -10.0;
+ int massiter;
+
+ double maxpole=0;
+
+ for (massiter=0;massiter<3;massiter++){
+
+ mass[0] = EvtPDL::getMeanMass(meson);
+ mass[1] = EvtPDL::getMeanMass(lepton1);
+ mass[2] = EvtPDL::getMeanMass(lepton2);
+ if ( massiter==1 ) {
+ mass[0] = EvtPDL::getMinMass(meson);
+ }
+ if ( massiter==2 ) {
+ mass[0] = EvtPDL::getMaxMass(meson);
+ if ( (mass[0]+mass[1]+mass[2])>m) mass[0]=m-mass[1]-mass[2]-0.00001;
+ }
+
+ q2max = (m-mass[0])*(m-mass[0]);
+
+ //loop over q2
+ //cout << "m " << m << "mass[0] " << mass[0] << " q2max "<< q2max << endl;
+ for (i=0;i<25;i++) {
+ //want to avoid picking up the tail of the photon propagator
+ q2 = ((i+1.5)*q2max)/26.0;
+
+ if (i==0) q2=4*(mass[1]*mass[1]);
+
+ erho = ( m*m + mass[0]*mass[0] - q2 )/(2.0*m);
+
+ prho = sqrt(erho*erho-mass[0]*mass[0]);
+
+ p4meson.set(erho,0.0,0.0,-1.0*prho);
+ p4w.set(m-erho,0.0,0.0,prho);
+
+ //This is in the W rest frame
+ elepton = (q2+mass[1]*mass[1])/(2.0*sqrt(q2));
+ plepton = sqrt(elepton*elepton-mass[1]*mass[1]);
+
+ double probctl[3];
+
+ for (j=0;j<3;j++) {
+
+ costl = 0.99*(j - 1.0);
+
+ //These are in the W rest frame. Need to boost out into
+ //the B frame.
+ p4lepton1.set(elepton,0.0,
+ plepton*sqrt(1.0-costl*costl),plepton*costl);
+ p4lepton2.set(elepton,0.0,
+ -1.0*plepton*sqrt(1.0-costl*costl),-1.0*plepton*costl);
+
+ EvtVector4R boost((m-erho),0.0,0.0,1.0*prho);
+ p4lepton1=boostTo(p4lepton1,boost);
+ p4lepton2=boostTo(p4lepton2,boost);
+
+ //Now initialize the daughters...
+
+ daughter->init(meson,p4meson);
+ lep1->init(lepton1,p4lepton1);
+ lep2->init(lepton2,p4lepton2);
+
+ CalcAmp(root_part,amp,FormFactors);
+
+ //Now find the probability at this q2 and cos theta lepton point
+ //and compare to maxfoundprob.
+
+ //Do a little magic to get the probability!!
+
+ //cout <<"amp:"<<amp.getSpinDensity()<<endl;
+
+ prob = rho.normalizedProb(amp.getSpinDensity());
+
+ //cout << "prob:"<<q2<<" "<<costl<<" "<<prob<<endl;
+
+ probctl[j]=prob;
+ }
+
+ //probclt contains prob at ctl=-1,0,1.
+ //prob=a+b*ctl+c*ctl^2
+
+ double a=probctl[1];
+ double b=0.5*(probctl[2]-probctl[0]);
+ double c=0.5*(probctl[2]+probctl[0])-probctl[1];
+
+ prob=probctl[0];
+ if (probctl[1]>prob) prob=probctl[1];
+ if (probctl[2]>prob) prob=probctl[2];
+
+ if (fabs(c)>1e-20){
+ double ctlx=-0.5*b/c;
+ if (fabs(ctlx)<1.0){
+ double probtmp=a+b*ctlx+c*ctlx*ctlx;
+ if (probtmp>prob) prob=probtmp;
+ }
+
+ }
+
+ //report(DEBUG,"EvtGen") << "prob,probctl:"<<prob<<" "
+ // << probctl[0]<<" "
+ // << probctl[1]<<" "
+ // << probctl[2]<<endl;
+
+ if (i==0) {
+ maxpole=prob;
+ continue;
+ }
+
+ if ( prob > maxfoundprob ) {
+ maxfoundprob = prob;
+ }
+
+ //cout << "q2,maxfoundprob:"<<q2<<" "<<maxfoundprob<<endl;
+
+ }
+ if ( EvtPDL::getWidth(meson) <= 0.0 ) {
+ //if the particle is narrow dont bother with changing the mass.
+ massiter = 4;
+ }
+
+ }
+
+ root_part->deleteTree();
+
+ poleSize=0.04*(maxpole/maxfoundprob)*4*(mass[1]*mass[1]);
+
+ //poleSize=0.002;
+
+ //cout <<"maxfoundprob,maxpole,poleSize:"<<maxfoundprob<<" "
+ // <<maxpole<<" "<<poleSize<<endl;
+
+ maxfoundprob *=1.15;
+
+ return maxfoundprob;
+
+}
+
+
+EvtComplex EvtbTosllAmp::GetC7Eff(double q2, bool nnlo)
+{
+
+ if (!nnlo) return -0.313;
+ double mbeff = 4.8;
+ double shat = q2/mbeff/mbeff;
+ double logshat;
+ logshat = log(shat);
+
+ double muscale;
+ muscale = 2.5;
+ double alphas;
+ alphas = 0.267;
+ double A7;
+ A7 = -0.353 + 0.023;
+ double A8;
+ A8 = -0.164;
+ double A9;
+ A9 = 4.287 + (-0.218);
+ double A10;
+ A10 = -4.592 + 0.379;
+ double C1;
+ C1 = -0.697;
+ double C2;
+ C2 = 1.046;
+ double T9;
+ T9 = 0.114 + 0.280;
+ double U9;
+ U9 = 0.045 + 0.023;
+ double W9;
+ W9 = 0.044 + 0.016;
+
+ double Lmu;
+ Lmu = log(muscale/mbeff);
+
+ EvtComplex uniti(0.0,1.0);
+
+ EvtComplex c7eff;
+ if (shat > 0.25)
+ {
+ c7eff = A7;
+ return c7eff;
+ }
+
+
+
+
+ // change energy scale to 5.0 for full NNLO calculation below shat = 0.25
+ muscale = 5.0;
+ alphas = 0.215;
+ A7 = -0.312 + 0.008;
+ A8 = -0.148;
+ A9 = 4.174 + (-0.035);
+ A10 = -4.592 + 0.379;
+ C1 = -0.487;
+ C2 = 1.024;
+ T9 = 0.374 + 0.252;
+ U9 = 0.033 + 0.015;
+ W9 = 0.032 + 0.012;
+ Lmu = log(muscale/mbeff);
+
+ EvtComplex F71;
+ EvtComplex f71;
+ EvtComplex k7100(-0.68192,-0.074998);
+ EvtComplex k7101(0.0,0.0);
+ EvtComplex k7110(-0.23935,-0.12289);
+ EvtComplex k7111(0.0027424,0.019676);
+ EvtComplex k7120(-0.0018555,-0.175);
+ EvtComplex k7121(0.022864,0.011456);
+ EvtComplex k7130(0.28248,-0.12783);
+ EvtComplex k7131(0.029027,-0.0082265);
+ f71 = k7100 + k7101*logshat + shat*(k7110 + k7111*logshat) +
+ shat*shat*(k7120 + k7121*logshat) +
+ shat*shat*shat*(k7130 + k7131*logshat);
+ F71 = (-208.0/243.0)*Lmu + f71;
+
+ EvtComplex F72;
+ EvtComplex f72;
+ EvtComplex k7200(4.0915,0.44999);
+ EvtComplex k7201(0.0,0.0);
+ EvtComplex k7210(1.4361,0.73732);
+ EvtComplex k7211(-0.016454,-0.11806);
+ EvtComplex k7220(0.011133,1.05);
+ EvtComplex k7221(-0.13718,-0.068733);
+ EvtComplex k7230(-1.6949,0.76698);
+ EvtComplex k7231(-0.17416,0.049359);
+ f72 = k7200 + k7201*logshat + shat*(k7210 + k7211*logshat) +
+ shat*shat*(k7220 + k7221*logshat) +
+ shat*shat*shat*(k7230 + k7231*logshat);
+ F72 = (416.0/81.0)*Lmu + f72;
+
+ EvtComplex F78;
+ F78 = (-32.0/9.0)*Lmu + 8.0*EvtConst::pi*EvtConst::pi/27.0 + (-44.0/9.0)
+ + (-8.0*EvtConst::pi/9.0)*uniti +
+ (4.0/3.0*EvtConst::pi*EvtConst::pi - 40.0/3.0)*shat +
+ (32.0*EvtConst::pi*EvtConst::pi/9.0 - 316.0/9.0)*shat*shat +
+ (200.0*EvtConst::pi*EvtConst::pi/27.0 - 658.0/9.0)*shat*shat*shat +
+ (-8.0*logshat/9.0)*(shat + shat*shat + shat*shat*shat);
+
+ c7eff = A7 - alphas/(4.0*EvtConst::pi)*(C1*F71 + C2*F72 + A8*F78);
+
+ return c7eff;
+}
+
+
+EvtComplex EvtbTosllAmp::GetC9Eff(double q2, bool nnlo, bool btod)
+{
+
+ if (!nnlo) return 4.344;
+ double mbeff = 4.8;
+ double shat = q2/mbeff/mbeff;
+ double logshat;
+ logshat = log(shat);
+ double mchat = 0.29;
+
+
+ double muscale;
+ muscale = 2.5;
+ double alphas;
+ alphas = 0.267;
+ double A7;
+ A7 = -0.353 + 0.023;
+ double A8;
+ A8 = -0.164;
+ double A9;
+ A9 = 4.287 + (-0.218);
+ double A10;
+ A10 = -4.592 + 0.379;
+ double C1;
+ C1 = -0.697;
+ double C2;
+ C2 = 1.046;
+ double T9;
+ T9 = 0.114 + 0.280;
+ double U9;
+ U9 = 0.045 + 0.023;
+ double W9;
+ W9 = 0.044 + 0.016;
+
+ double Lmu;
+ Lmu = log(muscale/mbeff);
+
+
+ EvtComplex uniti(0.0,1.0);
+
+ EvtComplex hc;
+ double xarg;
+ xarg = 4.0*mchat/shat;
+ hc = -4.0/9.0*log(mchat*mchat) + 8.0/27.0 + 4.0*xarg/9.0;
+
+if (xarg < 1.0)
+ {
+ hc = hc - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ (log(fabs((sqrt(1.0 - xarg)+1.0)/(sqrt(1.0 - xarg) - 1.0))) -
+ uniti*EvtConst::pi);
+ }
+ else
+ {
+ hc = hc - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ 2.0*atan(1.0/sqrt(xarg - 1.0));
+ }
+
+ EvtComplex h1;
+ xarg = 4.0/shat;
+ h1 = 8.0/27.0 + 4.0*xarg/9.0;
+ if (xarg < 1.0)
+ {
+ h1 = h1 - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ (log(fabs((sqrt(1.0 - xarg)+1.0)/(sqrt(1.0 - xarg) - 1.0))) -
+ uniti*EvtConst::pi);
+ }
+ else
+ {
+ h1 = h1 - 2.0/9.0*(2.0 + xarg)*sqrt(fabs(1.0 - xarg))*
+ 2.0*atan(1.0/sqrt(xarg - 1.0));
+ }
+
+
+ EvtComplex h0;
+ h0 = 8.0/27.0 - 4.0*log(2.0)/9.0 + 4.0*uniti*EvtConst::pi/9.0;
+
+
+ // X=V_{ud}^* V_ub / V_{td}^* V_tb * (4/3 C_1 +C_2) * (h(\hat m_c^2, hat s)-
+ // h(\hat m_u^2, hat s))
+ EvtComplex Vudstar(1.0 - 0.2279*0.2279/2.0, 0.0);
+ EvtComplex Vub((0.118+0.273)/2.0, -1.0*(0.305+0.393)/2.0);
+ EvtComplex Vtdstar(1.0 - (0.118+0.273)/2.0,(0.305+0.393)/2.0);
+ EvtComplex Vtb(1.0,0.0);
+
+ EvtComplex Xd;
+ Xd = (Vudstar * Vub / Vtdstar * Vtb) * (4.0/3.0*C1 + C2) * (hc - h0);
+
+
+ EvtComplex c9eff=4.344;
+ if (shat > 0.25)
+ {
+ c9eff = A9 + T9*hc + U9*h1 + W9*h0;
+ if (btod)
+ {
+ c9eff += Xd;
+ }
+
+ return c9eff;
+ }
+
+ // change energy scale to 5.0 for full NNLO calculation below shat = 0.25
+ muscale = 5.0;
+ alphas = 0.215;
+ A9 = 4.174 + (-0.035);
+ C1 = -0.487;
+ C2 = 1.024;
+ A8 = -0.148;
+ T9 = 0.374 + 0.252;
+ U9 = 0.033 + 0.015;
+ W9 = 0.032 + 0.012;
+ Lmu = log(muscale/mbeff);
+
+ EvtComplex F91;
+ EvtComplex f91;
+ EvtComplex k9100(-11.973,0.16371);
+ EvtComplex k9101(-0.081271,-0.059691);
+ EvtComplex k9110(-28.432,-0.25044);
+ EvtComplex k9111(-0.040243,0.016442);
+ EvtComplex k9120(-57.114,-0.86486);
+ EvtComplex k9121(-0.035191,0.027909);
+ EvtComplex k9130(-128.8,-2.5243);
+ EvtComplex k9131(-0.017587,0.050639);
+ f91 = k9100 + k9101*logshat + shat*(k9110 + k9111*logshat) +
+ shat*shat*(k9120 + k9121*logshat) +
+ shat*shat*shat*(k9130 + k9131*logshat);
+ F91 = (-1424.0/729.0 + 16.0*uniti*EvtConst::pi/243.0
+ + 64.0/27.0*log(mchat))*Lmu - 16.0*Lmu*logshat/243.0 +
+ (16.0/1215.0 - 32.0/135.0/mchat/mchat)*Lmu*shat +
+ (4.0/2835.0 - 8.0/315.0/mchat/mchat/mchat/mchat)*Lmu*shat*shat +
+ (16.0/76545.0 - 32.0/8505.0/mchat/mchat/mchat/mchat/mchat/mchat)*
+ Lmu*shat*shat*shat -256.0*Lmu*Lmu/243.0 + f91;
+
+ EvtComplex F92;
+ EvtComplex f92;
+ EvtComplex k9200(6.6338,-0.98225);
+ EvtComplex k9201(0.48763,0.35815);
+ EvtComplex k9210(3.3585,1.5026);
+ EvtComplex k9211(0.24146,-0.098649);
+ EvtComplex k9220(-1.1906,5.1892);
+ EvtComplex k9221(0.21115,-0.16745);
+ EvtComplex k9230(-17.12,15.146);
+ EvtComplex k9231(0.10552,-0.30383);
+ f92 = k9200 + k9201*logshat + shat*(k9210 + k9211*logshat) +
+ shat*shat*(k9220 + k9221*logshat) +
+ shat*shat*shat*(k9230 + k9231*logshat);
+ F92 = (256.0/243.0 - 32.0*uniti*EvtConst::pi/81.0
+ - 128.0/9.0*log(mchat))*Lmu + 32.0*Lmu*logshat/81.0 +
+ (-32.0/405.0 + 64.0/45.0/mchat/mchat)*Lmu*shat +
+ (-8.0/945.0 + 16.0/105.0/mchat/mchat/mchat/mchat)*Lmu*shat*shat +
+ (-32.0/25515.0 + 64.0/2835.0/mchat/mchat/mchat/mchat/mchat/mchat)*
+ Lmu*shat*shat*shat + 512.0*Lmu*Lmu/81.0 + f92;
+
+ EvtComplex F98;
+ F98 = 104.0/9.0 - 32.0*EvtConst::pi*EvtConst::pi/27.0 +
+ (1184.0/27.0 - 40.0*EvtConst::pi*EvtConst::pi/9.0)*shat +
+ (14212.0/135.0 - 32.0*EvtConst::pi*EvtConst::pi/3.0)*shat*shat +
+ (193444.0/945.0 - 560.0*EvtConst::pi*EvtConst::pi/27.0)*shat*shat*shat +
+ 16.0*logshat/9.0*(1.0 + shat + shat*shat + shat*shat*shat);
+
+ Xd = (Vudstar * Vub / Vtdstar * Vtb) * (4.0/3.0*C1 + C2) * (hc - h0);
+
+ c9eff = A9 + T9*hc + U9*h1 + W9*h0 -
+ alphas/(4.0*EvtConst::pi)*(C1*F91 + C2*F92 + A8*F98);
+ if (btod)
+ {
+ c9eff += Xd;
+ }
+
+ return c9eff;
+}
+
+EvtComplex EvtbTosllAmp::GetC10Eff(double /*q2*/, bool nnlo)
+{
+
+ if (!nnlo) return -4.669;
+ double A10;
+ A10 = -4.592 + 0.379;
+
+ EvtComplex c10eff;
+ c10eff = A10;
+
+ return c10eff;
+}
+
+double EvtbTosllAmp::dGdsProb(double mb, double ms, double ml,
+ double s)
+{
+ // Compute the decay probability density function given a value of s
+ // according to Ali's paper
+
+
+ double delta, lambda, prob;
+ double f1, f2, f3, f4;
+ double msh, mlh, sh;
+
+ mlh = ml / mb;
+ msh = ms / mb;
+ sh = s / (mb*mb);
+
+ EvtComplex c9eff = EvtbTosllAmp::GetC9Eff(sh*mb);
+ EvtComplex c7eff = EvtbTosllAmp::GetC7Eff(sh*mb);
+ EvtComplex c10eff = EvtbTosllAmp::GetC10Eff(sh*mb);
+
+ double alphas = 0.119/
+ (1 + 0.119*log(pow(4.8,2)/pow(91.1867,2))*23.0/12.0/EvtConst::pi);
+ double omega9 = -2.0/9.0*EvtConst::pi*EvtConst::pi - 4.0/3.0*EvtDiLog::DiLog(sh)
+ - 2.0/3.0*log(sh)*log(1.0-sh)
+ - (5.0+4.0*sh)/(3.0*(1.0+2.0*sh)) * log(1.0-sh)
+ - 2.0*sh*(1.0+sh)*(1.0-2.0*sh)
+ /(3.0*pow(1.0-sh,2)*(1.0+2.0*sh)) * log(sh)
+ + (5.0+9.0*sh-6.0*sh*sh)/(6.0*(1.0-sh)*(1.0+2.0*sh));
+ double eta9 = 1.0 + alphas*omega9/EvtConst::pi;
+ double omega7 = -8.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -log(1-sh)*(8.0+sh)/(2.0+sh)/3.0
+ -2.0/3.0*sh*(2.0 - 2.0*sh - sh*sh)*log(sh)/pow((1.0 - sh),2)/(2.0 + sh)
+ -(16.0 - 11.0*sh - 17.0*sh*sh)/18.0/(2.0 + sh)/(1.0 - sh);
+ double eta7 = 1.0 + alphas*omega7/EvtConst::pi;
+
+ double omega79 = -4.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -1.0/9.0*(2.0+7.0*sh)*log(1.0 - sh)/sh
+ -2.0/9.0*sh*(3.0 - 2.0*sh)*log(sh)/pow((1.0 - sh),2)
+ +1.0/18.0*(5.0 - 9.0*sh)/(1.0 - sh);
+ double eta79 = 1.0 + alphas*omega79/EvtConst::pi;
+
+ double c7c9 = abs(c7eff)*real(c9eff);
+ c7c9 *= pow(eta79,2);
+ double c7c7 = pow(abs(c7eff),2);
+ c7c7 *= pow(eta7,2);
+
+ double c9c9plusc10c10 = pow(abs(c9eff),2) + pow(abs(c10eff),2);
+ c9c9plusc10c10 *= pow(eta9,2);
+ double c9c9minusc10c10 = pow(abs(c9eff),2) - pow(abs(c10eff),2);
+ c9c9minusc10c10 *= pow(eta9,2);
+
+ lambda = 1.0 + sh*sh + pow(msh,4) - 2.0*(sh + sh*msh*msh + msh*msh);
+
+ f1 = pow(1.0-msh*msh,2) - sh*(1.0 + msh*msh);
+ f2 = 2.0*(1.0 + msh*msh) * pow(1.0-msh*msh,2)
+ - sh*(1.0 + 14.0*msh*msh + pow(msh,4)) - sh*sh*(1.0 + msh*msh);
+ f3 = pow(1.0-msh*msh,2) + sh*(1.0 + msh*msh) - 2.0*sh*sh
+ + lambda*2.0*mlh*mlh/sh;
+ f4 = 1.0 - sh + msh*msh;
+
+ delta = ( 12.0*c7c9*f1 + 4.0*c7c7*f2/sh ) * (1.0 + 2.0*mlh*mlh/sh)
+ + c9c9plusc10c10*f3
+ + 6.0*mlh*mlh*c9c9minusc10c10*f4;
+
+ prob = sqrt(lambda*(1.0 - 4.0*mlh*mlh/sh)) * delta;
+
+ return prob;
+}
+
+double EvtbTosllAmp::dGdsdupProb(double mb, double ms, double ml,
+ double s, double u)
+{
+ // Compute the decay probability density function given a value of s and u
+ // according to Ali's paper
+
+ double prob;
+ double f1sp, f2sp, f3sp;
+
+ double sh = s / (mb*mb);
+
+ EvtComplex c9eff = EvtbTosllAmp::GetC9Eff(sh*mb);
+ EvtComplex c7eff = EvtbTosllAmp::GetC7Eff(sh*mb);
+ EvtComplex c10eff = EvtbTosllAmp::GetC10Eff(sh*mb);
+
+ double alphas = 0.119/
+ (1 + 0.119*log(pow(4.8,2)/pow(91.1867,2))*23.0/12.0/EvtConst::pi);
+ double omega9 = - 2.0/9.0*EvtConst::pi*EvtConst::pi - 4.0/3.0*EvtDiLog::DiLog(sh)
+ - 2.0/3.0*log(sh)*log(1.0-sh)
+ - (5.0+4.0*sh)/(3.0*(1.0+2.0*sh)) * log(1.0-sh)
+ - 2.0*sh*(1.0+sh)*(1.0-2.0*sh)
+ /(3.0*pow(1.0-sh,2)*(1.0+2.0*sh)) * log(sh)
+ + (5.0+9.0*sh-6.0*sh*sh)/(6.0*(1.0-sh)*(1.0+2.0*sh));
+ double eta9 = 1.0 + alphas*omega9/EvtConst::pi;
+ double omega7 = -8.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -log(1-sh)*(8.0+sh)/(2.0+sh)/3.0
+ -2.0/3.0*sh*(2.0 - 2.0*sh - sh*sh)*log(sh)/pow((1.0 - sh),2)/(2.0 + sh)
+ -(16.0 - 11.0*sh - 17.0*sh*sh)/18.0/(2.0 + sh)/(1.0 - sh);
+ double eta7 = 1.0 + alphas*omega7/EvtConst::pi;
+
+ double omega79 = -4.0/3.0*log(4.8/mb)
+ -4.0/3.0*EvtDiLog::DiLog(sh)
+ -2.0/9.0*EvtConst::pi*EvtConst::pi
+ -2.0/3.0*log(sh)*log(1.0-sh)
+ -1.0/9.0*(2.0+7.0*sh)*log(1.0 - sh)/sh
+ -2.0/9.0*sh*(3.0 - 2.0*sh)*log(sh)/pow((1.0 - sh),2)
+ +1.0/18.0*(5.0 - 9.0*sh)/(1.0 - sh);
+ double eta79 = 1.0 + alphas*omega79/EvtConst::pi;
+
+ double c7c9 = abs(c7eff)*real(c9eff);
+ c7c9 *= pow(eta79,2);
+ double c7c7 = pow(abs(c7eff),2);
+ c7c7 *= pow(eta7,2);
+
+ double c9c9plusc10c10 = pow(abs(c9eff),2) + pow(abs(c10eff),2);
+ c9c9plusc10c10 *= pow(eta9,2);
+ double c9c9minusc10c10 = pow(abs(c9eff),2) - pow(abs(c10eff),2);
+ c9c9minusc10c10 *= pow(eta9,2);
+ double c7c10 = abs(c7eff)*real(c10eff);
+ c7c10 *= eta7; c7c10 *= eta9;
+ double c9c10 = real(c9eff)*real(c10eff);
+ c9c10 *= pow(eta9,2);
+
+ f1sp = ( pow(mb*mb-ms*ms,2) - s*s) * c9c9plusc10c10
+ + 4.0*( pow(mb,4) - ms*ms*mb*mb - pow(ms,4)*(1.0 - ms*ms/(mb*mb))
+ - 8.0*s*ms*ms - s*s*(1.0 + ms*ms/(mb*mb) ))*mb*mb*c7c7/s
+ // kludged mass term
+ *(1.0 + 2.0*ml*ml/s)
+ - 8.0*(s*(mb*mb + ms*ms) - pow(mb*mb-ms*ms,2)) * c7c9
+ // kludged mass term
+ *(1.0 + 2.0*ml*ml/s);
+
+ f2sp = 4.0*s*c9c10 + 8.0*(mb*mb + ms*ms)*c7c10;
+ f3sp = - (c9c9plusc10c10)
+ + 4.0*(1.0 + pow(ms/mb,4)) * mb*mb*c7c7/s
+ // kludged mass term
+ *(1.0 + 2.0*ml*ml/s);
+
+ prob = (f1sp + f2sp*u + f3sp*u*u)/ pow(mb,3);
+
+ return prob;
+}
+
+
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtbTosllAmp.hh
+//
+// Description:
+//
+// Modification history:
+//
+// RYD January 30 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLAMP_HH
+#define EVTBTOSLLAMP_HH
+
+class EvtAmp;
+class EvtId;
+class EvtbTosllFF;
+class EvtParticle;
+class EvtComplex;
+
+class EvtbTosllAmp{
+
+ public:
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+
+ virtual void CalcAmp( EvtParticle *parent, EvtAmp& amp,
+ EvtbTosllFF *formFactors )=0;
+
+ double CalcMaxProb( EvtId parent, EvtId meson, EvtId lepton,
+ EvtId nudaug, EvtbTosllFF *formFactors,
+ double& poleSize);
+
+ EvtComplex GetC7Eff(double q2, bool nnlo=true);
+ EvtComplex GetC9Eff(double q2, bool nnlo=true, bool btod=false);
+ EvtComplex GetC10Eff(double q2, bool nnlo=true);
+
+ double dGdsProb(double mb, double ms, double ml,
+ double s);
+
+ double dGdsdupProb(double mb, double ms, double ml,
+ double s, double u);
+
+};
+
+#endif
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtbTosllBall.cc
+//
+// Description: Routine to implement b->sll decays according to Ball et al.
+//
+// Modification history:
+//
+// Ryd January 5, 2000 Module created
+//
+// jjhollar October 7, 2005 Option to select form factors at runtime
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include <stdlib.h>
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenModels/EvtbTosllBall.hh"
+#include "EvtGenModels/EvtbTosllBallFF.hh"
+#include "EvtGenModels/EvtbTosllAmp.hh"
+#include "EvtGenModels/EvtbTosllScalarAmp.hh"
+#include "EvtGenModels/EvtbTosllVectorAmp.hh"
+
+#include <string>
+using std::endl;
+
+EvtbTosllBall::~EvtbTosllBall() {
+ delete _calcamp;
+ delete _ballffmodel;
+}
+
+std::string EvtbTosllBall::getName(){
+
+ return "BTOSLLBALL";
+}
+
+
+EvtDecayBase* EvtbTosllBall::clone(){
+
+ return new EvtbTosllBall;
+
+}
+
+void EvtbTosllBall::decay( EvtParticle *p ){
+
+ setWeight(p->initializePhaseSpace(getNDaug(),getDaugs(),_poleSize,1,2));
+
+ _calcamp->CalcAmp(p,_amp2,_ballffmodel);
+
+}
+
+
+void EvtbTosllBall::initProbMax(){
+
+ EvtId parnum,mesnum,l1num,l2num;
+
+ parnum = getParentId();
+ mesnum = getDaug(0);
+ l1num = getDaug(1);
+ l2num = getDaug(2);
+
+ //This routine sets the _poleSize.
+ double mymaxprob = _calcamp->CalcMaxProb(parnum,mesnum,
+ l1num,l2num,
+ _ballffmodel,_poleSize);
+
+ setProbMax(mymaxprob);
+
+}
+
+
+void EvtbTosllBall::init(){
+
+ // First choose form factors from the .DEC file
+ // 1 = Ali-Ball '01 LCSR
+ // 2 = Ali-Ball '99 LCSR
+ // 3 = Colangelo 3pt QCD
+ // 4 = Melikhov Lattice/Quark dispersion
+ // 5 = ???
+ // 6 = Ball-Zwicky '05 LCSR (mb = 480)
+ // 7 = Ball-Zwicky '05 LCSR (mb = 460 - pseudoscalar modes only)
+
+ // The default is Ali '01
+ int theFormFactorModel = 1;
+
+ if(getNArg() == 1)
+ theFormFactorModel = (int)getArg(0);
+
+ checkNDaug(3);
+
+ //We expect the parent to be a scalar
+ //and the daughters to be X lepton+ lepton-
+
+ checkSpinParent(EvtSpinType::SCALAR);
+
+ EvtSpinType::spintype mesontype=EvtPDL::getSpinType(getDaug(0));
+
+ if ( !(mesontype == EvtSpinType::VECTOR||
+ mesontype == EvtSpinType::SCALAR)) {
+ report(ERROR,"EvtGen") << "EvtbTosllBall generator expected "
+ << " a SCALAR or VECTOR 1st daughter, found:"<<
+ EvtPDL::name(getDaug(0)).c_str()<<endl;
+ report(ERROR,"EvtGen") << "Will terminate execution!"<<endl;
+ ::abort();
+ }
+
+ checkSpinDaughter(1,EvtSpinType::DIRAC);
+ checkSpinDaughter(2,EvtSpinType::DIRAC);
+
+ _ballffmodel = new EvtbTosllBallFF(theFormFactorModel);
+ if (mesontype == EvtSpinType::SCALAR){
+ _calcamp = new EvtbTosllScalarAmp(-0.313,4.344,-4.669);
+ } else if (mesontype == EvtSpinType::VECTOR){
+ _calcamp = new EvtbTosllVectorAmp(-0.313,4.344,-4.669);
+ }
+
+}
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtGen/EvtbTosllBall.hh
+//
+// Description:Implementation of the b->sll decays according to Ball et al.
+//
+// Modification history:
+//
+// Ryd January 5, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLBALL_HH
+#define EVTBTOSLLBALL_HH
+
+
+#include "EvtGenBase/EvtDecayAmp.hh"
+
+class EvtbTosllFF;
+class EvtbTosllAmp;
+class EvtParticle;
+
+class EvtbTosllBall:public EvtDecayAmp {
+
+public:
+
+ EvtbTosllBall() : _calcamp(0), _ballffmodel(0) {}
+ virtual ~EvtbTosllBall();
+
+ std::string getName();
+ EvtDecayBase* clone();
+
+ void decay(EvtParticle *p);
+ void init();
+ void initProbMax();
+
+private:
+ EvtbTosllAmp *_calcamp;
+ EvtbTosllFF *_ballffmodel;
+ double _poleSize;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module:
+// Description: Form factors for b->sll according to Ali, Ball et al.
+// hep-ph/9910221v2
+//
+// Modification history:
+//
+// Ryd January 5, 2000 Module created
+//
+// jjhollar October 7 2005 Add Ball & Zwicky '05 LCSR
+// ofte August 2006 Add some more pi l l FF models
+//------------------------------------------------------------------------
+#include "EvtGenBase/EvtPatches.hh"
+
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenModels/EvtbTosllBallFF.hh"
+#include <math.h>
+
+EvtbTosllBallFF::EvtbTosllBallFF(int ffmodel)
+{
+ _theFFModel = ffmodel;
+}
+
+
+void EvtbTosllBallFF::getScalarFF(EvtId parent, EvtId daught,
+ double t, double /*mass*/,
+ double& fp,double& f0,double& ft){
+
+ int model = _theFFModel;
+
+ double m=EvtPDL::getMeanMass(parent);
+ double md=EvtPDL::getMeanMass(daught);
+
+ double shat=t/(m*m);
+ double shat2=shat*shat;
+ double shat3=shat2*shat;
+
+ if (daught == EvtPDL::getId(std::string("K+")) ||
+ daught == EvtPDL::getId(std::string("K-")) ||
+ daught == EvtPDL::getId(std::string("K_S0")) ||
+ daught == EvtPDL::getId(std::string("K0")) ||
+ daught == EvtPDL::getId(std::string("anti-K0")) ||
+ daught == EvtPDL::getId(std::string("K_L0"))
+ )
+ {
+ // B --> K form factors
+ if (model == 1) {
+ //this is Ali-Ball '01 (or really Ali-Ball'99 minimum allowed)
+ fp = 0.278*exp(1.568*shat+0.470*shat2+0.885*shat3);
+ f0 = 0.278*exp(0.740*shat+0.080*shat2+0.425*shat3);
+ ft = 0.300*exp(1.600*shat+0.501*shat2+0.796*shat3);
+ }
+ if (model == 2) {
+ //this is Ali-Ball '99 (central values)
+ fp = 0.319*exp(1.465*shat+0.372*shat2+0.782*shat3);
+ f0 = 0.319*exp(0.633*shat-0.095*shat2+0.591*shat3);
+ ft = 0.355*exp(1.478*shat+0.373*shat2+0.700*shat3);
+ }
+ if (model == 3) {
+ //QCD sum rules (Colangelo et al)
+ fp = 0.25/(1.-t/(5.0*5.0));
+ f0 = 0.25/(1.-t/(7.0*7.0));
+ ft = - 0.14/((1.0 - t/(5.0*5.0))*(1.0 - t/(7.0*7.0)));
+ }
+ if (model == 4) {
+ // Quark model (Melikhov et al - hep-ph/9711362)
+ fp = 0.36/(1. - 0.048*t + 0.00063*t*t);
+ double fm = -0.30/(1. - 0.050*t + 0.00061*t*t);
+ f0 = fp + fm*(t/(m*m - md*md));
+ ft = -(m+md)*0.06/(1 -0.049*t + 0.00064*t*t);
+ }
+ if (model == 5) {
+ fp = 0.341/(1. - 1.41*shat + 0.406*shat*shat);
+ f0 = 0.341/(1. - 0.41*shat -0.361*shat*shat);
+ ft = 0.374/(1. - 1.42*shat + 0.434*shat*shat);
+ }
+ if (model == 6) {
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.1616 / (1. - (t/29.30))) +
+ (0.1730 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ f0 = (0.3302 / (1. - (t/37.46/37.46)));
+ ft = (0.1614 / (1. - (t/29.30))) +
+ (0.1981 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ }
+ if (model == 7){
+ // Ball-Zwicky LCSR '05 "set 4" (mb = 4.6)
+ fp = (0.1903 / (1. - (t/29.30))) +
+ (0.1478 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ f0 = (0.3338 / (1. - (t/38.98/38.98)));
+ ft = (0.1851 / (1. - (t/29.30))) +
+ (0.1905 / (1. - (t/29.30)) / (1. - (t/29.30)));
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("pi+")) ||
+ daught == EvtPDL::getId(std::string("pi-")) ||
+ daught == EvtPDL::getId(std::string("pi0"))
+ )
+ {
+ if(model == 1){
+ // B --> pi form factors from Ball-Zwicky'01 (tabulated in hep-ph/0306251)
+ fp = 0.261/(1. - 2.03*shat + 1.293*shat*shat);
+ f0 = 0.261/(1. - 0.27*shat -0.752*shat*shat);
+ ft = 0.296/(1. - 1.28*shat + 0.193*shat*shat);
+ }
+
+ // The following two (2) and (3) should preferably be replaced with
+ // something better. ft not provided by the papers, and the ft formula
+ // (from Colangelo'96 (hep-ph/9510403v2) equation (5.1)) seem to be no good.
+ // if (model == 2) {
+ // // LatticeQCD: Okamoto'04
+ // // ... with f_T from eq. (5.1) of Colangelo'95
+ // fp = 0.23/((1.-shat)*(1.-0.63*shat));
+ // f0 = 0.23/((1.-shat)/1.18);
+ // ft = ( -(m+md)/(2*m) )/ (fp - (m*m-md*md) * ((f0-fp)/t) );
+ // }
+ // if (model == 3) {
+ // // LatticeQCD: Shigemitsu'04
+ // // ... with f_T from eq. (5.1) of Colangelo'95
+ // fp = 0.42*(1.0-0.41)/((1.-shat)*(1.-0.63*shat));
+ // f0 = 0.42*(1.0-0.41)/((1.-shat)/1.18);
+ // ft = ( -(m+md)/(2*m) )/ (fp - (m*m-md*md) * ((f0-fp)/t) );
+ // }
+
+ if (model == 4) {
+ // Quark model - B -> pi set 1 (Melikhov-Nikitin'96)
+ fp = 0.29/pow((1.-t/(6.48*6.48)),2.54);
+ double fm = -0.26/pow((1.-t/(6.34*6.34)),2.49);
+ f0 = fp + fm*(t/(m*m - md*md));
+ ft = -(m+md)*0.05/pow((1.-t/(6.47*6.47)),2.50);
+ }
+ if (model == 5) {
+ // Melikhov-Stech '00. (hep-ph/0001113)
+ // relativistic dispersion approach based on constituent quark picture
+ fp = 0.29/((1.-shat)*(1.-0.48*shat));
+ f0 = 0.29/(1.-0.76*shat +0.28*shat*shat);
+ ft = 0.28/((1.-shat)*(1.-0.48*shat));
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.744 / (1. - (t/(5.32*5.32)))) + (-0.486 / (1. - (t/40.73)));
+ f0 = (0.258 / (1. - (t/33.81)));
+ ft = (1.387 / (1. - (t/(5.32*5.32)))) + (-1.134 / (1. - (t/32.22)));
+ }
+ if(model == 7){
+ // Ball-Zwicky LCSR '05 "set 4" (mb = 4.6)
+ fp = (0.944 / (1. - (t/(5.32*5.32)))) + (-0.669 / (1. - (t/34.27)));
+ f0 = (0.270 / (1. - (t/33.63)));
+ ft = (0.152 / (1. - (t/(5.32*5.32)))) +
+ (0.122 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("eta")) ||
+ daught == EvtPDL::getId(std::string("eta'"))
+ )
+ {
+ if(model == 1){
+ // B --> eta form factors
+ fp = 0.261/(1. - 2.03*shat + 1.293*shat*shat);
+ f0 = 0.261/(1. - 0.27*shat -0.752*shat*shat);
+ ft = 0.296/(1. - 1.28*shat + 0.193*shat*shat);
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.1220 / (1. - (t/28.40))) +
+ (0.1553 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ f0 = (0.2734 / (1. - (t/31.03/31.03)));
+ ft = (0.1108 / (1. - (t/28.40))) +
+ (0.1752 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ }
+ if(model == 7){
+ // Ball-Zwicky LCSR '05 "set 2" (mb = 4.8)
+ fp = (0.1380 / (1. - (t/28.40))) +
+ (0.1462 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ f0 = (0.2799 / (1. - (t/30.46/30.46)));
+ ft = (0.1160 / (1. - (t/28.40))) +
+ (0.1841 / (1. - (t/28.40)) / (1. - (t/28.40)));
+ }
+ }
+
+ // cout << "shat "<<shat<<"\t"<<"fp "<<fp<<"\t"<<"f0 "<<f0<<"\t"
+ // <<"ft "<<ft<<endl;
+
+}
+
+
+void EvtbTosllBallFF::getVectorFF(EvtId parent, EvtId daught,
+ double t, double /*mass*/,
+ double& a1,double& a2,double& a0, double& v,
+ double& t1, double& t2, double& t3 ){
+
+ int model = _theFFModel;
+
+ double m=EvtPDL::getMeanMass(parent);
+ double md=EvtPDL::getMeanMass(daught);
+
+ double shat=t/(m*m);
+ double shat2=shat*shat;
+
+ if (
+ daught == EvtPDL::getId(std::string("K*+")) ||
+ daught == EvtPDL::getId(std::string("K*-")) ||
+ daught == EvtPDL::getId(std::string("K*0")) ||
+ daught == EvtPDL::getId(std::string("anti-K*0"))
+ )
+ {
+ if (model == 1) {
+ //this is Ali-Ball '01
+ a1 = 0.294*exp(0.656*shat+0.456*shat2);
+ a2 = 0.246*exp(1.237*shat+0.822*shat2);
+ a0 = 0.412*exp(1.543*shat+0.954*shat2);
+ v = 0.399*exp(1.537*shat+1.123*shat2);
+
+ t1 = 0.334*exp(1.575*shat+1.140*shat2);
+ t2 = 0.334*exp(0.562*shat+0.481*shat2);
+ t3 = 0.234*exp(1.230*shat+1.089*shat2);
+ }
+ if (model == 2) {
+ //this is Ali-Ball '99
+ a1=0.337*exp(0.602*shat+0.258*shat2);
+ a2=0.282*exp(1.172*shat+0.567*shat2);
+ a0=0.471*exp(1.505*shat+0.710*shat2);
+ v=0.457*exp(1.482*shat+1.015*shat2);
+
+ t1=0.379*exp(1.519*shat+1.030*shat2);
+ t2=0.379*exp(0.517*shat+0.426*shat2);
+ t3=0.260*exp(1.129*shat+1.128*shat2);
+ }
+ if (model == 3) {
+ //QCD sum rules (Colangelo et al)
+ // JJH - Changed in accordance with erratum (Phys. Rev. D 57, 3186 (1998))
+ a1 = 0.37*(1 - 0.023*t);
+ a2 = 0.40*(1 + 0.034*t);
+ a0 = 0.3/(1.- t/(4.8*4.8));
+ v = 0.47/(1.- t/(5.0*5.0));
+
+ t1 = 0.19/(1.-t/(5.3*5.3));
+ t2 = 0.19*(1. - 0.02*t);
+ t3 = 0.3*(1. + 0.01*t);
+ }
+
+ if (model == 4) {
+ // Quark model (Melikhov et al)
+ a1 = 1.6/(1 - 0.0288*t + 0.00028*t*t); a1 = a1/(m+md);
+ a2 = (m+md)*0.036/(1. - 0.053*t + 0.00082*t*t);
+ double aminus = 0.041/(1. - 0.055*t + 0.00088*t*t);
+ double f = 1.60/(1. - 0.0288*t + 0.00028*t*t);
+ double aplus = -0.036/(1. - 0.053*t + 0.00082*t*t);
+ a0 = (t*aminus + f + (m*m-md*md)*aplus)/(2.0*md);
+ v = (m+md)*0.048/(1. - 0.057*t + 0.00085*t*t);
+
+ t1 = 0.28/(1. - 0.058*t + 0.0009*t*t);
+ double gplus = -0.28/(1. - 0.058*t + 0.0009*t*t);
+ double gminus = 0.24/(1. - 0.059*t + 0.00096*t*t);
+ t2 = -gplus - (t*gminus)/(m*m-md*md);
+ double h = 0.0037/(1. - 0.075*t + 0.0016*t*t);
+ t3 = (m+md)*(m+md)*((gminus/(m*m-md*md) - h/2.));
+
+ }
+ if (model == 5) {
+ a1 = 0.337/(1. - 0.60*shat - 0.023*shat*shat);
+ a2 = 0.283/(1. - 1.18*shat + 0.281*shat*shat);
+ a0 = 0.470/(1. - 1.55*shat + 0.680*shat*shat);
+ v = 0.458/(1. - 1.55*shat + 0.575*shat*shat);
+ t1 = 0.379/(1. - 1.59*shat + 0.615*shat*shat);
+ t2 = 0.379/(1. - 0.49*shat - 0.241*shat*shat);
+ t3 = 0.261/(1. - 1.20*shat + 0.098*shat*shat);
+ }
+ if (model == 6) {
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = 0.290 / (1. - (t/40.38));
+ a2 = (-0.084 / (1. - (t/52.00))) +
+ (0.342 / (1. - (t/52.00))/(1. - (t/52.00)));
+ a0 = (1.364 / (1. - (t/(5.28*5.28)))) +
+ (-0.990 / (1. - (t/36.78)));
+ v = (0.923 / (1. - (t/(5.32*5.32)))) +
+ (-0.511 / (1. - (t/49.40)));
+ t1 = (0.823 / (1. - (t/(5.32*5.32)))) +
+ (-0.491 / (1 - (t/46.31)));
+ t2 = 0.333 / (1. - (t/41.41));
+ t3 = (-0.036 / (1. - (t/48.10))) +
+ (0.368 / (1. - (t/48.10)) / (1. - (t/48.10)));
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("rho+")) ||
+ daught == EvtPDL::getId(std::string("rho-")) ||
+ daught == EvtPDL::getId(std::string("rho0"))
+ )
+ {
+ if(model == 1){
+ // B --> rho form factors
+ a1 = 0.261/(1. - 0.29*shat - 0.415*shat*shat);
+ a2 = 0.223/(1. - 0.93*shat - 0.092*shat*shat);
+ a0 = 0.372/(1. - 1.40*shat + 0.437*shat*shat);
+ v = 0.338/(1. - 1.37*shat + 0.315*shat*shat);
+ t1 = 0.285/(1. - 1.41*shat + 0.361*shat*shat);
+ t2 = 0.285/(1. - 0.28*shat - 0.500*shat*shat);
+ t3 = 0.202/(1. - 1.06*shat - 0.076*shat*shat);
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = 0.240 / (1. - (t/37.51));
+ a2 = (0.009 / (1. - (t/40.82))) +
+ (0.212 / (1. - (t/40.82)) / (1. - (t/40.82)));
+ a0 = (1.527 / (1. - (t/(5.28*5.28)))) +
+ (-1.220 / (1. - (t/33.36)));
+ v = (1.045 / (1. - (t/(5.32*5.32)))) +
+ (-0.721 / (1. - (t/38.34)));
+ t1 = (0.897 / (1. - (t/(5.32*5.32)))) +
+ (-0.629 / (1 - (t/38.04)));
+ t2 = 0.267 / (1. - (t/38.59));
+ t3 = (0.022 / (1. - (t/40.88))) +
+ (0.246 / (1. - (t/40.88)) / (1. - (t/40.88)));
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("omega"))
+ )
+ {
+ if(model == 1){
+ // B --> rho form factors
+ a1 = 0.261/(1. - 0.29*shat - 0.415*shat*shat);
+ a2 = 0.223/(1. - 0.93*shat - 0.092*shat*shat);
+ a0 = 0.372/(1. - 1.40*shat + 0.437*shat*shat);
+ v = 0.338/(1. - 1.37*shat + 0.315*shat*shat);
+ t1 = 0.285/(1. - 1.41*shat + 0.361*shat*shat);
+ t2 = 0.285/(1. - 0.28*shat - 0.500*shat*shat);
+ t3 = 0.202/(1. - 1.06*shat - 0.076*shat*shat);
+ }
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = -0.217 / (1. - (t/37.01));
+ a2 = (0.006 / (1. - (t/41.24))) +
+ (0.192 / (1. - (t/41.24)) / (1. - (t/41.24)));
+ a0 = (1.321 / (1. - (t/(5.28*5.28)))) +
+ (-1.040 / (1. - (t/34.47)));
+ v = (1.006 / (1. - (t/(5.32*5.32)))) +
+ (-0.713 / (1. - (t/37.45)));
+ t1 = (0.865 / (1. - (t/(5.32*5.32)))) +
+ (-0.622 / (1 - (t/37.19)));
+ t2 = 0.242 / (1. - (t/37.95));
+ t3 = (0.023 / (1. - (t/40.87))) +
+ (0.220 / (1. - (t/40.87)) / (1. - (t/40.87)));
+ }
+ }
+ else if (daught == EvtPDL::getId(std::string("phi"))
+ )
+ {
+ if(model == 6){
+ // Ball-Zwicky LCSR '05 (mb = 4.8)
+ a1 = 0.308 / (1. - (t/36.54));
+ a2 = (-0.054 / (1. - (t/48.94))) +
+ (0.288 / (1. - (t/48.94)) / (1. - (t/48.94)));
+ a0 = (3.310 / (1. - (t/(5.28*5.28)))) +
+ (-2.835 / (1. - (t/31.57)));
+ v = (1.484 / (1. - (t/(5.32*5.32)))) +
+ (-1.049 / (1. - (t/39.52)));
+ t1 = (1.303 / (1. - (t/(5.32*5.32)))) +
+ (-0.954 / (1 - (t/38.28)));
+ t2 = 0.349 / (1. - (t/37.21));
+ t3 = (0.027 / (1. - (t/45.56))) +
+ (0.321 / (1. - (t/45.56)) / (1. - (t/45.56)));
+ }
+ }
+
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module:
+// Description: Form factors for b->sll according to Ali, Ball et al.
+// hep-ph/9910221v2
+//
+// Modification history:
+//
+// Ryd January 5, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLBALLFF_HH
+#define EVTBTOSLLBALLFF_HH
+
+#include "EvtGenModels/EvtbTosllFF.hh"
+
+class EvtId;
+
+
+class EvtbTosllBallFF : public EvtbTosllFF {
+
+public:
+
+ EvtbTosllBallFF(int);
+
+ void getScalarFF(EvtId parent, EvtId daught,double t, double mass,
+ double& fp,double& f0,double& ft);
+ void getVectorFF(EvtId parent, EvtId daught,double t, double mass,
+ double& a1,double& a2,double& a0, double& v,
+ double& t1, double& t2, double& t3 );
+
+
+
+private:
+ int _theFFModel;
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech
+//
+// Module:
+// This is the base class for form factors in b->sll transitions.
+//
+// Description:
+//
+// Modification history:
+//
+// RYD January 5, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLFF_HH
+#define EVTBTOSLLFF_HH
+
+class EvtId;
+
+class EvtbTosllFF{
+
+ public:
+
+ virtual void getScalarFF(EvtId parent, EvtId daught,double t, double mass,
+ double& fp,double& f0,double& ft) {return;}
+ virtual void getVectorFF(EvtId parent, EvtId daught,double t, double mass,
+ double& a1,double& a2,double& a0, double& v,
+ double& t1, double& t2, double& t3 ) {return;}
+
+};
+
+#endif
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtbTosllScalarAmp.cc
+//
+// Description: Routine to implement bTosll decays to pseudo-scalar
+// mesons.
+//
+// Modification history:
+//
+// Ryd January 5,2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtConst.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenModels/EvtbTosllScalarAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenModels/EvtbTosllAmp.hh"
+#include "EvtGenModels/EvtbTosllFF.hh"
+
+void EvtbTosllScalarAmp::CalcAmp( EvtParticle *parent,
+ EvtAmp& amp,
+ EvtbTosllFF *formFactors ) {
+
+ //Add the lepton and neutrino 4 momenta to find q2
+
+ EvtVector4R q = parent->getDaug(1)->getP4()
+ + parent->getDaug(2)->getP4();
+ double q2 = (q.mass2());
+
+ double fp(0.),f0(0.),ft(0.);
+ double mesonmass = parent->getDaug(0)->mass();
+ double parentmass = parent->mass();
+
+ formFactors->getScalarFF(parent->getId(),
+ parent->getDaug(0)->getId(),
+ q2,
+ mesonmass,
+ fp,f0,ft);
+
+ EvtId daught = parent->getDaug(0)->getId();
+ bool btod = false;
+ bool nnlo = true;
+ if (daught == EvtPDL::getId(std::string("pi+")) ||
+ daught == EvtPDL::getId(std::string("pi-")) ||
+ daught == EvtPDL::getId(std::string("pi0")) ||
+ daught == EvtPDL::getId(std::string("eta")) ||
+ daught == EvtPDL::getId(std::string("eta'"))
+ ) btod = true;
+
+
+ EvtVector4R p4b;
+ p4b.set(parent->mass(),0.0,0.0,0.0);
+
+ EvtVector4C l11,l12;
+ EvtVector4C l21,l22;
+
+ EvtVector4C a11,a12;
+ EvtVector4C a21,a22;
+
+ EvtId l_num = parent->getDaug(1)->getId();
+
+ EvtVector4C T1,T2;
+
+ EvtVector4R phat=p4b/parentmass;
+ EvtVector4R qhat=q/parentmass;
+
+ EvtComplex c7eff = EvtbTosllAmp::GetC7Eff(q2,nnlo);
+ EvtComplex c9eff = EvtbTosllAmp::GetC9Eff(q2,nnlo,btod);
+ EvtComplex c10eff = EvtbTosllAmp::GetC10Eff(q2,nnlo);
+
+ //double mbhat=1;
+ double mbhat=4.4/(parentmass);
+ //double mkhat = 0.15;
+ double mkhat=mesonmass/(parentmass);
+ double shat=q2/(parentmass*parentmass);
+
+ double fm=(f0-fp)*(1-mkhat*mkhat)/shat;
+
+ EvtComplex aprime;
+ aprime = c9eff*fp+2.0*mbhat*c7eff*ft/(1+mkhat);
+ EvtComplex bprime;
+ bprime = c9eff*fm-2*mbhat*c7eff*ft*(1-mkhat)/shat;
+
+ EvtComplex cprime;
+ cprime = c10eff*fp;
+ EvtComplex dprime;
+ dprime = c10eff*fm;
+
+ static EvtIdSet leptons("e-","mu-","tau-");
+ static EvtIdSet antileptons("e+","mu+","tau+");
+
+ if (leptons.contains(l_num)){
+
+ T1=aprime*phat+bprime*qhat;
+ T2=cprime*phat+dprime*qhat;
+
+ l11=EvtLeptonVCurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(0));
+ l21=EvtLeptonVCurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(0));
+ l12=EvtLeptonVCurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(1));
+ l22=EvtLeptonVCurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(1));
+ a11=EvtLeptonACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(0));
+ a21=EvtLeptonACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(0));
+ a12=EvtLeptonACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(1));
+ a22=EvtLeptonACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(1));
+ }
+ else{
+ if (antileptons.contains(l_num)){
+
+ T1=aprime*phat+bprime*qhat;
+ T2=cprime*phat+dprime*qhat;
+
+ l11=EvtLeptonVCurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(1));
+ l21=EvtLeptonVCurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(1));
+ l12=EvtLeptonVCurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(0));
+ l22=EvtLeptonVCurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(0));
+
+ a11=EvtLeptonACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(1));
+ a21=EvtLeptonACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(1));
+ a12=EvtLeptonACurrent(parent->getDaug(1)->spParent(1),
+ parent->getDaug(2)->spParent(0));
+ a22=EvtLeptonACurrent(parent->getDaug(1)->spParent(0),
+ parent->getDaug(2)->spParent(0));
+
+ }
+ else{
+ report(ERROR,"EvtGen") << "Wrong lepton number\n";
+ }
+ }
+
+ amp.vertex(0,0,l11*T1+a11*T2);
+ amp.vertex(0,1,l12*T1+a12*T2);
+ amp.vertex(1,0,l21*T1+a21*T2);
+ amp.vertex(1,1,l22*T1+a22*T2);
+
+}
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtbTosllScalarAmp.hh
+//
+// Description:
+//
+// Modification history:
+//
+// RYD January 5, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLSCALARAMP_HH
+#define EVTBTOSLLSCALARAMP_HH
+
+#include "EvtGenModels/EvtbTosllAmp.hh"
+class EvtParticle;
+class EvtAmp;
+class bTosllFF;
+
+class EvtbTosllScalarAmp : public EvtbTosllAmp {
+
+public:
+
+ EvtbTosllScalarAmp(double c7, double c9, double c10):_c7(c7),_c9(c9),_c10(c10){}
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+ void CalcAmp( EvtParticle *parent, EvtAmp& amp,
+ EvtbTosllFF *formFactors );
+
+private:
+ double _c7,_c9,_c10;
+
+};
+
+#endif
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 2000 Caltech, UCSB
+//
+// Module: EvtbTosllVectorAmp.cc
+//
+// Description: Routine to implement bTosll decays to vector
+// mesons.
+//
+// Modification history:
+//
+// Ryd January 5,2000 Module created
+//
+//------------------------------------------------------------------------
+//
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtPatches.hh"
+#include "EvtGenBase/EvtParticle.hh"
+#include "EvtGenBase/EvtGenKine.hh"
+#include "EvtGenBase/EvtPDL.hh"
+#include "EvtGenBase/EvtReport.hh"
+#include "EvtGenBase/EvtVector4C.hh"
+#include "EvtGenBase/EvtTensor4C.hh"
+#include "EvtGenBase/EvtDiracSpinor.hh"
+#include "EvtGenModels/EvtbTosllVectorAmp.hh"
+#include "EvtGenBase/EvtId.hh"
+#include "EvtGenBase/EvtIdSet.hh"
+#include "EvtGenBase/EvtAmp.hh"
+#include "EvtGenModels/EvtbTosllAmp.hh"
+#include "EvtGenModels/EvtbTosllFF.hh"
+
+void EvtbTosllVectorAmp::CalcAmp( EvtParticle *parent,
+ EvtAmp& amp,
+ EvtbTosllFF *formFactors ) {
+
+ //Add the lepton and neutrino 4 momenta to find q2
+
+ EvtVector4R q = parent->getDaug(1)->getP4()
+ + parent->getDaug(2)->getP4();
+ double q2 = (q.mass2());
+
+
+ double a1,a2,a0,v,t1,t2,t3;
+ double mesonmass = parent->getDaug(0)->mass();
+ double parentmass = parent->mass();
+
+ formFactors->getVectorFF(parent->getId(),
+ parent->getDaug(0)->getId(),
+ q2,
+ mesonmass,
+ a1,a2,a0,v,t1,t2,t3);
+
+
+ EvtId daught = parent->getDaug(0)->getId();
+ bool btod = false;
+ bool nnlo = true;
+ if
+ (
+ daught == EvtPDL::getId(std::string("rho+")) ||
+ daught == EvtPDL::getId(std::string("rho-")) ||
+ daught == EvtPDL::getId(std::string("rho0")) ||
+ daught == EvtPDL::getId(std::string("omega"))
+ )
+ btod = true;
+
+ EvtVector4R p4b;
+ p4b.set(parent->mass(),0.0,0.0,0.0);
+ EvtVector4R p4meson = parent->getDaug(0)->getP4();
+
+ EvtVector4C l11,l12;
+ EvtVector4C l21,l22;
+
+ EvtVector4C a11,a12;
+ EvtVector4C a21,a22;
+
+ EvtId parentID = parent->getId();
+
+ //EvtId l_num = parent->getDaug(1)->getId();
+
+ EvtVector4R pbhat=p4b/parentmass;
+ EvtVector4R qhat=q/parentmass;
+ EvtVector4R pkstarhat=p4meson/parentmass;
+ EvtVector4R phat=pbhat+pkstarhat;
+
+ EvtComplex c7eff = EvtbTosllAmp::GetC7Eff(q2,nnlo);
+ EvtComplex c9eff = EvtbTosllAmp::GetC9Eff(q2,nnlo,btod);
+ EvtComplex c10eff = EvtbTosllAmp::GetC10Eff(q2,nnlo);
+ EvtComplex uniti(0.0,1.0);
+
+ double mhatb=4.4/(parentmass);
+ double mhatkstar=mesonmass/(parentmass);
+ double shat=q2/(parentmass*parentmass);
+
+
+ EvtComplex a;
+ a=c9eff*v*2/(1+mhatkstar)+4*mhatb*c7eff*t1/shat;
+ EvtComplex b;
+ b=(1+mhatkstar)*(c9eff*a1+2*mhatb*(1-mhatkstar)*c7eff*t2/shat);
+ EvtComplex c;
+ c=((1-mhatkstar)*c9eff*a2+
+ 2*mhatb*c7eff*(t3+(1-mhatkstar*mhatkstar)*t2/shat))/
+ (1-mhatkstar*mhatkstar);
+ EvtComplex d;
+ d=(c9eff*((1+mhatkstar)*a1-(1-mhatkstar)*a2-2*mhatkstar*a0)
+ -2*mhatb*c7eff*t3)/shat;
+ EvtComplex e;
+ e=2*c10eff*v/(1+mhatkstar);
+ EvtComplex f;
+ f=(1+mhatkstar)*c10eff*a1;
+ EvtComplex g;
+ g=c10eff*a2/(1+mhatkstar);
+ EvtComplex h;
+ h=c10eff*((1+mhatkstar)*a1-(1-mhatkstar)*a2-2*mhatkstar*a0)/shat;
+
+ EvtTensor4C T1,T2;
+
+ static EvtIdSet bmesons("B-","anti-B0","anti-B_s0");
+ static EvtIdSet bbarmesons("B+","B0","B_s0");
+
+ EvtParticle* lepPlus=0;
+ EvtParticle* lepMinus=0;
+
+ int charge1 = EvtPDL::chg3(parent->getDaug(1)->getId());
+ int charge2 = EvtPDL::chg3(parent->getDaug(2)->getId());
+
+ lepPlus = (charge1 > charge2) ? parent->getDaug(1) : parent->getDaug(2);
+ lepMinus = (charge1 < charge2) ? parent->getDaug(1) : parent->getDaug(2);
+
+ if (bmesons.contains(parentID)) {
+
+ T1=a*dual(directProd(pbhat,pkstarhat))
+ -b*uniti*EvtTensor4C::g()
+ +c*uniti*directProd(pbhat,phat)
+ +d*uniti*directProd(pbhat,qhat);
+
+ T2=e*dual(directProd(pbhat,pkstarhat))
+ -f*uniti*EvtTensor4C::g()
+ +g*uniti*directProd(pbhat,phat)
+ +h*uniti*directProd(pbhat,qhat);
+
+ l11=EvtLeptonVCurrent(lepPlus->spParent(0),
+ lepMinus->spParent(0));
+ l21=EvtLeptonVCurrent(lepPlus->spParent(1),
+ lepMinus->spParent(0));
+ l12=EvtLeptonVCurrent(lepPlus->spParent(0),
+ lepMinus->spParent(1));
+ l22=EvtLeptonVCurrent(lepPlus->spParent(1),
+ lepMinus->spParent(1));
+
+ a11=EvtLeptonACurrent(lepPlus->spParent(0),
+ lepMinus->spParent(0));
+ a21=EvtLeptonACurrent(lepPlus->spParent(1),
+ lepMinus->spParent(0));
+ a12=EvtLeptonACurrent(lepPlus->spParent(0),
+ lepMinus->spParent(1));
+ a22=EvtLeptonACurrent(lepPlus->spParent(1),
+ lepMinus->spParent(1));
+
+ } else {
+
+ if (bbarmesons.contains(parentID)) {
+
+ T1=-a*dual(directProd(pbhat,pkstarhat))
+ -b*uniti*EvtTensor4C::g()
+ +c*uniti*directProd(pbhat,phat)
+ +d*uniti*directProd(pbhat,qhat);
+
+ T2=-e*dual(directProd(pbhat,pkstarhat))
+ -f*uniti*EvtTensor4C::g()
+ +g*uniti*directProd(pbhat,phat)
+ +h*uniti*directProd(pbhat,qhat);
+
+ l11=EvtLeptonVCurrent(lepPlus->spParent(1),
+ lepMinus->spParent(1));
+ l21=EvtLeptonVCurrent(lepPlus->spParent(0),
+ lepMinus->spParent(1));
+ l12=EvtLeptonVCurrent(lepPlus->spParent(1),
+ lepMinus->spParent(0));
+ l22=EvtLeptonVCurrent(lepPlus->spParent(0),
+ lepMinus->spParent(0));
+
+ a11=EvtLeptonACurrent(lepPlus->spParent(1),
+ lepMinus->spParent(1));
+ a21=EvtLeptonACurrent(lepPlus->spParent(0),
+ lepMinus->spParent(1));
+ a12=EvtLeptonACurrent(lepPlus->spParent(1),
+ lepMinus->spParent(0));
+ a22=EvtLeptonACurrent(lepPlus->spParent(0),
+ lepMinus->spParent(0));
+
+ }
+ else{
+ report(ERROR,"EvtGen") << "Wrong lepton number\n";
+ }
+ }
+
+
+ int i;
+
+ for(i=0;i<3;i++){
+ EvtVector4C eps=parent->getDaug(0)->epsParent(i).conj();
+
+ EvtVector4C E1=T1.cont1(eps);
+ EvtVector4C E2=T2.cont1(eps);
+
+ amp.vertex(i,0,0,l11*E1+a11*E2);
+ amp.vertex(i,0,1,l12*E1+a12*E2);
+ amp.vertex(i,1,0,l21*E1+a21*E2);
+ amp.vertex(i,1,1,l22*E1+a22*E2);
+ }
+}
+
+
+
+
+
+
+
--- /dev/null
+//--------------------------------------------------------------------------
+//
+// Environment:
+// This software is part of the EvtGen package developed jointly
+// for the BaBar and CLEO collaborations. If you use all or part
+// of it, please give an appropriate acknowledgement.
+//
+// Copyright Information: See EvtGen/COPYRIGHT
+// Copyright (C) 1998 Caltech, UCSB
+//
+// Module: EvtGen/EvtbTosllVectorAmp.hh
+//
+// Description:
+//
+// Modification history:
+//
+// RYD January 5, 2000 Module created
+//
+//------------------------------------------------------------------------
+
+#ifndef EVTBTOSLLVECTORAMP_HH
+#define EVTBTOSLLVECTORAMP_HH
+
+#include "EvtGenModels/EvtbTosllAmp.hh"
+
+class EvtAmp;
+class EvtParticle;
+class EvtbTosllFF;
+
+class EvtbTosllVectorAmp : public EvtbTosllAmp {
+
+public:
+
+ EvtbTosllVectorAmp(double c7, double c9, double c10):_c7(c7),_c9(c9),_c10(c10){}
+
+ //Daughters are initialized and have been added to the parent.
+ //No need to carry around the daughters seperately!
+ void CalcAmp( EvtParticle *parent, EvtAmp& amp,
+ EvtbTosllFF *formFactors );
+
+private:
+
+ double _c7,_c9,_c10;
+
+};
+
+#endif
+
--- /dev/null
+
+#New EvtGen makefile October 5, 1998
+#Authors David Lange and Anders Ryd
+#include $(ROOTSYS)/test/Makefile.arch
+
+include $(ROOTSYS)/etc/vmc/Makefile.linux
+
+SRCSC= $(wildcard *.cc)
+SRCSF= $(wildcard *.F)
+
+OBJSC = $(SRCSC:%.cc=%.o)
+OBJSF = $(SRCSF:%.F=%.o)
+
+OBJS = $(OBJSC)
+OBJS += $(OBJSF)
+
+LIBOBJS=$(OBJS)
+
+include ../EvtGen/config.mk
+
+lib: depend comp ar shar
+#lib: comp ar
+
+
+comp:$(OBJS)
+
+clean:
+ rm -f *.o ../EvtGen/libEvtGenModels.a ../EvtGen/libEvtGenModels.so
+
+depend:
+ @echo "Checking makedepend in EvtGenModels"
+ @makedepend -- $(EVTDEPINC) -- $(SRCSC) $(SRCSF)
+
+
+#.cc.o:
+# $(EVTCXX) $(EVTCXXFLAGS) -c $<
+
+#.cc.o:
+# $(CXX) $(CXXFLAGS) $(EVTCXXFLAGS) -c $<
+
+
+CXXFLAGS = $(CXXOPTS) $(CLIBCXXOPTS) -I. -I$(ROOTSYS)/include -I$(GEANTSYS)/TGeant3 -fPIC
+
+.cc.o:
+ @$(CXX) $(CXXFLAGS) $(EVTCXXFLAGS) -c $<
+
+#.F.o:
+# $(EVTF77) $(EVTF77FLAGS) -c $<
+# $(EVTF77) $(CXXFLAGS) $(EVTF77FLAGS) -c $<
+
+FFLAGS = $(FOPT) $(CLIBFOPT) -I. -I$(GEANTSYS)/minicern -fPIC
+
+.F.o:
+ @$(F77) $(FFLAGS) $(EVTF77FLAGS) -c $<
+
+ar:
+ @if (test -f ../libEvtGenModels.a ) then (rm ../libEvtGenModels.a) fi
+ @ar rv ../EvtGen/libEvtGenModels.a $(LIBOBJS) >& /dev/null
+ @echo "Done making libEvtGenModels.a"
+
+shar:
+ @$(CXX) $(CXXFLAGS) $(SOFLAGS) -o ../EvtGen/libEvtGenModels.so $(LIBOBJS) -L/home/fionda/cern/alice/v4-16-Rev-13_G3v1-10_Rv5-23-04/lib/tgt_linux/ -llhapdf -lpythia6 -lphotos -L/home/fionda/cern/root/v5-23-04/lib $(EVTSYSLIB) -lgfortran
+ @echo "Done making libEvtGenModels.so"
+# DO NOT DELETE THIS LINE -- make depend depends on it.
+
+EvtBBScalar.o: ../EvtGenBase/EvtPatches.hh ../EvtGenModels/EvtBBScalar.hh
+EvtBBScalar.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtBBScalar.o: ../EvtGenBase/EvtId.hh /usr/include/c++/3.4.6/iostream
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBBScalar.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBBScalar.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtBBScalar.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBBScalar.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBBScalar.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBBScalar.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBBScalar.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBBScalar.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBBScalar.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBBScalar.o: /usr/include/gconv.h
+EvtBBScalar.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBBScalar.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBBScalar.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBBScalar.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBBScalar.o: /usr/include/libintl.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBBScalar.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBBScalar.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBBScalar.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBBScalar.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtBBScalar.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBBScalar.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBBScalar.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBBScalar.o: /usr/include/stdint.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/exception
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/climits
+EvtBBScalar.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBBScalar.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBBScalar.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBBScalar.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/limits
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/algorithm
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBBScalar.o: /usr/include/c++/3.4.6/streambuf
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBBScalar.o: /usr/include/c++/3.4.6/locale
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBBScalar.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBBScalar.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBBScalar.o: /usr/include/c++/3.4.6/vector
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/vector.tcc ../EvtGenBase/EvtAmp.hh
+EvtBBScalar.o: ../EvtGenBase/EvtComplex.hh /usr/include/math.h
+EvtBBScalar.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBBScalar.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtConst.hh
+EvtBBScalar.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBBScalar.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBBScalar.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBBScalar.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtBBScalar.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtBBScalar.o: ../EvtGenBase/EvtScalarParticle.hh
+EvtBBScalar.o: ../EvtGenBase/EvtDiracParticle.hh
+EvtBBScalar.o: ../EvtGenBase/EvtDiracSpinor.hh ../EvtGenBase/EvtVector3R.hh
+EvtBBScalar.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtBBScalar.o: /usr/include/c++/3.4.6/bitset ../EvtGenBase/EvtGammaMatrix.hh
+EvtBBScalar.o: ../EvtGenBase/EvtTensor4C.hh /usr/include/c++/3.4.6/cmath
+EvtBBScalar.o: /usr/include/c++/3.4.6/bits/cmath.tcc
+EvtBHadronic.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBHadronic.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBHadronic.o: /usr/include/gnu/stubs.h
+EvtBHadronic.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBHadronic.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtBHadronic.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBHadronic.o: /usr/include/c++/3.4.6/iosfwd
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBHadronic.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBHadronic.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBHadronic.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBHadronic.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBHadronic.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBHadronic.o: /usr/include/gconv.h
+EvtBHadronic.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBHadronic.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBHadronic.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBHadronic.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBHadronic.o: /usr/include/libintl.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBHadronic.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBHadronic.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBHadronic.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBHadronic.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtBHadronic.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBHadronic.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBHadronic.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBHadronic.o: /usr/include/stdint.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/exception
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/climits
+EvtBHadronic.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBHadronic.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBHadronic.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBHadronic.o: /usr/include/c++/3.4.6/new
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/cassert
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/limits
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/algorithm
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBHadronic.o: /usr/include/c++/3.4.6/streambuf
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBHadronic.o: /usr/include/c++/3.4.6/locale
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBHadronic.o: /usr/include/c++/3.4.6/typeinfo
+EvtBHadronic.o: /usr/include/c++/3.4.6/istream
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBHadronic.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBHadronic.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtBHadronic.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtBHadronic.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtBHadronic.o: ../EvtGenBase/EvtReport.hh ../EvtGenModels/EvtISGW2FF.hh
+EvtBHadronic.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtBHadronic.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtBHadronic.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtBHadronic.o: /usr/include/c++/3.4.6/vector
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBHadronic.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBHadronic.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBHadronic.o: ../EvtGenBase/EvtTensor4C.hh ../EvtGenBase/EvtVector4C.hh
+EvtBHadronic.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtVector3R.hh
+EvtBHadronic.o: ../EvtGenModels/EvtBHadronic.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtBHadronic.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtBsquark.o: ../EvtGenBase/EvtPatches.hh /usr/include/c++/3.4.6/iostream
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBsquark.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBsquark.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtBsquark.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBsquark.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBsquark.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBsquark.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBsquark.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBsquark.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBsquark.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBsquark.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBsquark.o: /usr/include/gconv.h
+EvtBsquark.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBsquark.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBsquark.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBsquark.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBsquark.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBsquark.o: /usr/include/libintl.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBsquark.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtBsquark.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtBsquark.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtBsquark.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBsquark.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBsquark.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBsquark.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBsquark.o: /usr/include/bits/endian.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBsquark.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBsquark.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBsquark.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBsquark.o: /usr/include/c++/3.4.6/exception
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBsquark.o: /usr/include/c++/3.4.6/climits
+EvtBsquark.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBsquark.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBsquark.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBsquark.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBsquark.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBsquark.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBsquark.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBsquark.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBsquark.o: /usr/include/c++/3.4.6/limits
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBsquark.o: /usr/include/c++/3.4.6/algorithm
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBsquark.o: /usr/include/c++/3.4.6/streambuf
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBsquark.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBsquark.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBsquark.o: /usr/include/c++/3.4.6/locale
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBsquark.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBsquark.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtBsquark.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtBsquark.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtBsquark.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtBsquark.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtBsquark.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBsquark.o: ../EvtGenBase/EvtDiracParticle.hh
+EvtBsquark.o: ../EvtGenBase/EvtDiracSpinor.hh ../EvtGenBase/EvtVector3R.hh
+EvtBsquark.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBsquark.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBsquark.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBsquark.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBsquark.o: ../EvtGenBase/EvtIdSet.hh ../EvtGenBase/EvtGenKine.hh
+EvtBsquark.o: ../EvtGenModels/EvtBsquark.hh ../EvtGenBase/EvtDecayProb.hh
+EvtBsquark.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtGammaMatrix.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBto2piCPiso.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBto2piCPiso.o: /usr/include/gnu/stubs.h
+EvtBto2piCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBto2piCPiso.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtBto2piCPiso.o: ../EvtGenBase/EvtVector4R.hh
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/iostream
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/iosfwd
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/cstring
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBto2piCPiso.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtBto2piCPiso.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBto2piCPiso.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBto2piCPiso.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBto2piCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBto2piCPiso.o: /usr/include/bits/stdio_lim.h
+EvtBto2piCPiso.o: /usr/include/bits/sys_errlist.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBto2piCPiso.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBto2piCPiso.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBto2piCPiso.o: /usr/include/libintl.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBto2piCPiso.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBto2piCPiso.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBto2piCPiso.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBto2piCPiso.o: /usr/include/bits/pthreadtypes.h
+EvtBto2piCPiso.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBto2piCPiso.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBto2piCPiso.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBto2piCPiso.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBto2piCPiso.o: /usr/include/bits/endian.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBto2piCPiso.o: /usr/include/stdint.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/exception
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/climits
+EvtBto2piCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBto2piCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBto2piCPiso.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/new
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/cassert
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/limits
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/algorithm
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/streambuf
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/locale
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/typeinfo
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/istream
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBto2piCPiso.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBto2piCPiso.o: /usr/include/bits/mathcalls.h
+EvtBto2piCPiso.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtRandom.hh ../EvtGenBase/EvtGenKine.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtPDL.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtPartProp.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/vector
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBto2piCPiso.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBto2piCPiso.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBto2piCPiso.o: ../EvtGenModels/EvtBto2piCPiso.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtBto2piCPiso.o: ../EvtGenBase/EvtAmp.hh
+EvtBTo3piCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBTo3piCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBTo3piCP.o: /usr/include/gnu/stubs.h
+EvtBTo3piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBTo3piCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtBTo3piCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBTo3piCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBTo3piCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBTo3piCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBTo3piCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBTo3piCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBTo3piCP.o: /usr/include/gconv.h
+EvtBTo3piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBTo3piCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBTo3piCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBTo3piCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBTo3piCP.o: /usr/include/libintl.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBTo3piCP.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBTo3piCP.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBTo3piCP.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBTo3piCP.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtBTo3piCP.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBTo3piCP.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBTo3piCP.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBTo3piCP.o: /usr/include/stdint.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/exception
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/climits
+EvtBTo3piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBTo3piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBTo3piCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/new
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/cassert
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/limits
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/algorithm
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/streambuf
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/locale
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBTo3piCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBTo3piCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtBTo3piCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtBTo3piCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtBTo3piCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtCPUtil.hh
+EvtBTo3piCP.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBTo3piCP.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBTo3piCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBTo3piCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBTo3piCP.o: ../EvtGenModels/EvtBTo3piCP.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtBTo3piCP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtBTo4piCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBTo4piCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBTo4piCP.o: /usr/include/gnu/stubs.h
+EvtBTo4piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBTo4piCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtBTo4piCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBTo4piCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBTo4piCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBTo4piCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBTo4piCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBTo4piCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBTo4piCP.o: /usr/include/gconv.h
+EvtBTo4piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBTo4piCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBTo4piCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBTo4piCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBTo4piCP.o: /usr/include/libintl.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBTo4piCP.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBTo4piCP.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBTo4piCP.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBTo4piCP.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtBTo4piCP.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBTo4piCP.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBTo4piCP.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBTo4piCP.o: /usr/include/stdint.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/exception
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/climits
+EvtBTo4piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBTo4piCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBTo4piCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/new
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/cassert
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/limits
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/algorithm
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/streambuf
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/locale
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBTo4piCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBTo4piCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtBTo4piCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtBTo4piCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtBTo4piCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtBTo4piCP.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtPDL.hh
+EvtBTo4piCP.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/vector
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBTo4piCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBTo4piCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBTo4piCP.o: ../EvtGenModels/EvtBTo4piCP.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtBTo4piCP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtPatches.hh /usr/include/assert.h
+EvtBtoKD3P.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoKD3P.o: /usr/include/gnu/stubs.h ../EvtGenModels/EvtBtoKD3P.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtId.hh /usr/include/c++/3.4.6/iostream
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBtoKD3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoKD3P.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBtoKD3P.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBtoKD3P.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBtoKD3P.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBtoKD3P.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBtoKD3P.o: /usr/include/gconv.h
+EvtBtoKD3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoKD3P.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoKD3P.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoKD3P.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoKD3P.o: /usr/include/libintl.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoKD3P.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtBtoKD3P.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtBtoKD3P.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtBtoKD3P.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBtoKD3P.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBtoKD3P.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBtoKD3P.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBtoKD3P.o: /usr/include/bits/endian.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBtoKD3P.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/exception
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/climits
+EvtBtoKD3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoKD3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoKD3P.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoKD3P.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/cassert
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/limits
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/locale
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBtoKD3P.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/vector
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/vector.tcc ../EvtGenBase/EvtAmp.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtComplex.hh /usr/include/math.h
+EvtBtoKD3P.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBtoKD3P.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtConst.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtDecayTable.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtParticle.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtVector4R.hh ../EvtGenBase/EvtSpinDensity.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtRandom.hh ../EvtGenModels/EvtPto3P.hh
+EvtBtoKD3P.o: ../EvtGenModels/EvtIntervalDecayAmp.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtMacros.hh ../EvtGenBase/EvtPdf.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtValError.hh ../EvtGenBase/EvtPredGen.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtStreamInputIterator.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtStreamAdapter.hh
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/iterator
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stream_iterator.h
+EvtBtoKD3P.o: ../EvtGenBase/EvtPdfMax.hh ../EvtGenBase/EvtAmpFactory.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtAmplitudeSum.hh ../EvtGenBase/EvtAmplitude.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtPdfSum.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtMultiChannelParser.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtAmpPdf.hh ../EvtGenBase/EvtCPUtil.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtAbsLineShape.hh ../EvtGenBase/EvtStringHash.hh
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/map
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoKD3P.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoKD3P.o: ../EvtGenBase/EvtCyclic3.hh ../EvtGenBase/EvtDalitzPoint.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtDalitzCoord.hh ../EvtGenBase/EvtDalitzPlot.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtTwoBodyVertex.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtTwoBodyKine.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtBlattWeisskopf.hh
+EvtBtoKD3P.o: ../EvtGenBase/EvtDecayMode.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoKpiCPiso.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoKpiCPiso.o: /usr/include/gnu/stubs.h
+EvtBtoKpiCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtVector4R.hh
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/iostream
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/cstring
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoKpiCPiso.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtBtoKpiCPiso.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoKpiCPiso.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoKpiCPiso.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoKpiCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoKpiCPiso.o: /usr/include/bits/stdio_lim.h
+EvtBtoKpiCPiso.o: /usr/include/bits/sys_errlist.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoKpiCPiso.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoKpiCPiso.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoKpiCPiso.o: /usr/include/libintl.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoKpiCPiso.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoKpiCPiso.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoKpiCPiso.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoKpiCPiso.o: /usr/include/bits/pthreadtypes.h
+EvtBtoKpiCPiso.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBtoKpiCPiso.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBtoKpiCPiso.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBtoKpiCPiso.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBtoKpiCPiso.o: /usr/include/bits/endian.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBtoKpiCPiso.o: /usr/include/stdint.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/exception
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/climits
+EvtBtoKpiCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoKpiCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoKpiCPiso.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/new
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/cassert
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/limits
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/locale
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/istream
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBtoKpiCPiso.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBtoKpiCPiso.o: /usr/include/bits/mathcalls.h
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtPartProp.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/vector
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoKpiCPiso.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoKpiCPiso.o: ../EvtGenModels/EvtBtoKpiCPiso.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtBtoKpiCPiso.o: ../EvtGenBase/EvtAmp.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBToKpipiCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBToKpipiCP.o: /usr/include/gnu/stubs.h
+EvtBToKpipiCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBToKpipiCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtBToKpipiCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/cstring
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBToKpipiCP.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtBToKpipiCP.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBToKpipiCP.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBToKpipiCP.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBToKpipiCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBToKpipiCP.o: /usr/include/bits/stdio_lim.h
+EvtBToKpipiCP.o: /usr/include/bits/sys_errlist.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBToKpipiCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBToKpipiCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBToKpipiCP.o: /usr/include/libintl.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBToKpipiCP.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBToKpipiCP.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBToKpipiCP.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBToKpipiCP.o: /usr/include/bits/pthreadtypes.h
+EvtBToKpipiCP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBToKpipiCP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBToKpipiCP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBToKpipiCP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBToKpipiCP.o: /usr/include/bits/endian.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBToKpipiCP.o: /usr/include/stdint.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/exception
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/climits
+EvtBToKpipiCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBToKpipiCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBToKpipiCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/new
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/cassert
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/limits
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/algorithm
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/streambuf
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/locale
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/typeinfo
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/istream
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBToKpipiCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBToKpipiCP.o: /usr/include/bits/mathcalls.h
+EvtBToKpipiCP.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtCPUtil.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/vector
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBToKpipiCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBToKpipiCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBToKpipiCP.o: ../EvtGenModels/EvtBToKpipiCP.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtBToKpipiCP.o: ../EvtGenBase/EvtAmp.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBToPlnuBK.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBToPlnuBK.o: /usr/include/gnu/stubs.h
+EvtBToPlnuBK.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBToPlnuBK.o: /usr/include/assert.h ../EvtGenBase/EvtParticle.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/iosfwd
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBToPlnuBK.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBToPlnuBK.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBToPlnuBK.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBToPlnuBK.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBToPlnuBK.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBToPlnuBK.o: /usr/include/gconv.h
+EvtBToPlnuBK.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBToPlnuBK.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBToPlnuBK.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBToPlnuBK.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBToPlnuBK.o: /usr/include/libintl.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBToPlnuBK.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBToPlnuBK.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBToPlnuBK.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBToPlnuBK.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtBToPlnuBK.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBToPlnuBK.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBToPlnuBK.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBToPlnuBK.o: /usr/include/stdint.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/exception
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/climits
+EvtBToPlnuBK.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBToPlnuBK.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBToPlnuBK.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/new
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/cassert
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/limits
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/algorithm
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/streambuf
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/locale
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/typeinfo
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/istream
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBToPlnuBK.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBToPlnuBK.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/vector
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBToPlnuBK.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBToPlnuBK.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBToPlnuBK.o: ../EvtGenModels/EvtBToPlnuBK.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtBToPlnuBK.o: ../EvtGenModels/EvtBToPlnuBKFF.hh
+EvtBToPlnuBK.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtBToPlnuBKFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/iostream
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBToPlnuBKFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBToPlnuBKFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/cstring
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/cstddef
+EvtBToPlnuBKFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBToPlnuBKFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBToPlnuBKFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBToPlnuBKFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBToPlnuBKFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBToPlnuBKFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBToPlnuBKFF.o: /usr/include/gconv.h
+EvtBToPlnuBKFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBToPlnuBKFF.o: /usr/include/bits/stdio_lim.h
+EvtBToPlnuBKFF.o: /usr/include/bits/sys_errlist.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBToPlnuBKFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBToPlnuBKFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBToPlnuBKFF.o: /usr/include/libintl.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBToPlnuBKFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBToPlnuBKFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBToPlnuBKFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBToPlnuBKFF.o: /usr/include/bits/pthreadtypes.h
+EvtBToPlnuBKFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBToPlnuBKFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBToPlnuBKFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBToPlnuBKFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBToPlnuBKFF.o: /usr/include/bits/endian.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBToPlnuBKFF.o: /usr/include/stdint.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/exception
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/climits
+EvtBToPlnuBKFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBToPlnuBKFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBToPlnuBKFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBToPlnuBKFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/limits
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/algorithm
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/streambuf
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/locale
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/typeinfo
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/istream
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBToPlnuBKFF.o: ../EvtGenModels/EvtBToPlnuBKFF.hh
+EvtBToPlnuBKFF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtBToPlnuBKFF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBToPlnuBKFF.o: ../EvtGenBase/EvtSpinType.hh
+EvtBToPlnuBKFF.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/vector
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBToPlnuBKFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBToPlnuBKFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBToPlnuBKFF.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtBToPlnuBKFF.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtbTosllAli.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtbTosllAli.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtbTosllAli.o: /usr/include/gnu/stubs.h
+EvtbTosllAli.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtbTosllAli.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtbTosllAli.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtbTosllAli.o: /usr/include/c++/3.4.6/iosfwd
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtbTosllAli.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtbTosllAli.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtbTosllAli.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtbTosllAli.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtbTosllAli.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtbTosllAli.o: /usr/include/gconv.h
+EvtbTosllAli.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtbTosllAli.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtbTosllAli.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtbTosllAli.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtbTosllAli.o: /usr/include/libintl.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtbTosllAli.o: /usr/include/pthread.h /usr/include/sched.h
+EvtbTosllAli.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtbTosllAli.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtbTosllAli.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtbTosllAli.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtbTosllAli.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtbTosllAli.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtbTosllAli.o: /usr/include/stdint.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/exception
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/climits
+EvtbTosllAli.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtbTosllAli.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtbTosllAli.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtbTosllAli.o: /usr/include/c++/3.4.6/new
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/cassert
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/limits
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/algorithm
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtbTosllAli.o: /usr/include/c++/3.4.6/streambuf
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtbTosllAli.o: /usr/include/c++/3.4.6/locale
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtbTosllAli.o: /usr/include/c++/3.4.6/typeinfo
+EvtbTosllAli.o: /usr/include/c++/3.4.6/istream
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtbTosllAli.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtbTosllAli.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtbTosllAli.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtbTosllAli.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtbTosllAli.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtbTosllAli.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtbTosllAli.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtbTosllAli.o: /usr/include/c++/3.4.6/vector
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtbTosllAli.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtbTosllAli.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtbTosllAli.o: ../EvtGenModels/EvtbTosllAli.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtbTosllAli.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtbTosllAli.o: ../EvtGenModels/EvtbTosllAliFF.hh
+EvtbTosllAli.o: ../EvtGenModels/EvtbTosllFF.hh
+EvtbTosllAli.o: ../EvtGenModels/EvtbTosllAmp.hh
+EvtbTosllAli.o: ../EvtGenModels/EvtbTosllScalarAmp.hh
+EvtbTosllAli.o: ../EvtGenModels/EvtbTosllVectorAmp.hh
+EvtbTosllAliFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtPDL.hh
+EvtbTosllAliFF.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtSpinType.hh
+EvtbTosllAliFF.o: ../EvtGenBase/EvtReport.hh /usr/include/c++/3.4.6/iostream
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtbTosllAliFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtbTosllAliFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/cstring
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/cstddef
+EvtbTosllAliFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtbTosllAliFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtbTosllAliFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtbTosllAliFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtbTosllAliFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtbTosllAliFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtbTosllAliFF.o: /usr/include/gconv.h
+EvtbTosllAliFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtbTosllAliFF.o: /usr/include/bits/stdio_lim.h
+EvtbTosllAliFF.o: /usr/include/bits/sys_errlist.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtbTosllAliFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtbTosllAliFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtbTosllAliFF.o: /usr/include/libintl.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtbTosllAliFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtbTosllAliFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtbTosllAliFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtbTosllAliFF.o: /usr/include/bits/pthreadtypes.h
+EvtbTosllAliFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtbTosllAliFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtbTosllAliFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtbTosllAliFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtbTosllAliFF.o: /usr/include/bits/endian.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtbTosllAliFF.o: /usr/include/stdint.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/exception
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/climits
+EvtbTosllAliFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtbTosllAliFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtbTosllAliFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtbTosllAliFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/limits
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/algorithm
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/streambuf
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/locale
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/typeinfo
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/istream
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtbTosllAliFF.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/vector
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtbTosllAliFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtbTosllAliFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtbTosllAliFF.o: ../EvtGenModels/EvtbTosllAliFF.hh
+EvtbTosllAliFF.o: ../EvtGenModels/EvtbTosllFF.hh /usr/include/math.h
+EvtbTosllAliFF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtbTosllAliFF.o: /usr/include/bits/mathcalls.h
+EvtbTosllAmp.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtParticle.hh
+EvtbTosllAmp.o: /usr/include/assert.h /usr/include/features.h
+EvtbTosllAmp.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtbTosllAmp.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/iosfwd
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtbTosllAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtbTosllAmp.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtbTosllAmp.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtbTosllAmp.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtbTosllAmp.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtbTosllAmp.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtbTosllAmp.o: /usr/include/gconv.h
+EvtbTosllAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtbTosllAmp.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtbTosllAmp.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtbTosllAmp.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtbTosllAmp.o: /usr/include/libintl.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtbTosllAmp.o: /usr/include/pthread.h /usr/include/sched.h
+EvtbTosllAmp.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtbTosllAmp.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtbTosllAmp.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtbTosllAmp.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtbTosllAmp.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtbTosllAmp.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtbTosllAmp.o: /usr/include/stdint.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/exception
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/climits
+EvtbTosllAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtbTosllAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtbTosllAmp.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtbTosllAmp.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/cassert
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/limits
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/algorithm
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/streambuf
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/locale
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/typeinfo
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/istream
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtbTosllAmp.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtbTosllAmp.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/vector
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtbTosllAmp.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtbTosllAmp.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtbTosllAmp.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtDiracSpinor.hh
+EvtbTosllAmp.o: ../EvtGenModels/EvtbTosllAmp.hh ../EvtGenBase/EvtAmp.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtScalarParticle.hh
+EvtbTosllAmp.o: ../EvtGenBase/EvtVectorParticle.hh ../EvtGenBase/EvtDiLog.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtbTosllBall.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtbTosllBall.o: /usr/include/gnu/stubs.h
+EvtbTosllBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtbTosllBall.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtbTosllBall.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtbTosllBall.o: /usr/include/c++/3.4.6/iosfwd
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/cstring
+EvtbTosllBall.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtbTosllBall.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtbTosllBall.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtbTosllBall.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtbTosllBall.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtbTosllBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtbTosllBall.o: /usr/include/bits/stdio_lim.h
+EvtbTosllBall.o: /usr/include/bits/sys_errlist.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtbTosllBall.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtbTosllBall.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtbTosllBall.o: /usr/include/libintl.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtbTosllBall.o: /usr/include/pthread.h /usr/include/sched.h
+EvtbTosllBall.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtbTosllBall.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtbTosllBall.o: /usr/include/bits/pthreadtypes.h
+EvtbTosllBall.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtbTosllBall.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtbTosllBall.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtbTosllBall.o: /usr/include/ctype.h /usr/include/endian.h
+EvtbTosllBall.o: /usr/include/bits/endian.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtbTosllBall.o: /usr/include/stdint.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/exception
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/climits
+EvtbTosllBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtbTosllBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtbTosllBall.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtbTosllBall.o: /usr/include/c++/3.4.6/new
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/cassert
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/limits
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/algorithm
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtbTosllBall.o: /usr/include/c++/3.4.6/streambuf
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtbTosllBall.o: /usr/include/c++/3.4.6/locale
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtbTosllBall.o: /usr/include/c++/3.4.6/typeinfo
+EvtbTosllBall.o: /usr/include/c++/3.4.6/istream
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtbTosllBall.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtbTosllBall.o: /usr/include/bits/mathcalls.h
+EvtbTosllBall.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtPartProp.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtbTosllBall.o: /usr/include/c++/3.4.6/vector
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtbTosllBall.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtbTosllBall.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtbTosllBall.o: ../EvtGenModels/EvtbTosllBall.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtbTosllBall.o: ../EvtGenBase/EvtAmp.hh ../EvtGenModels/EvtbTosllBallFF.hh
+EvtbTosllBall.o: ../EvtGenModels/EvtbTosllFF.hh
+EvtbTosllBall.o: ../EvtGenModels/EvtbTosllAmp.hh
+EvtbTosllBall.o: ../EvtGenModels/EvtbTosllScalarAmp.hh
+EvtbTosllBall.o: ../EvtGenModels/EvtbTosllVectorAmp.hh
+EvtbTosllBallFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtPDL.hh
+EvtbTosllBallFF.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtSpinType.hh
+EvtbTosllBallFF.o: ../EvtGenBase/EvtReport.hh /usr/include/c++/3.4.6/iostream
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtbTosllBallFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtbTosllBallFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/cstring
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/cstddef
+EvtbTosllBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtbTosllBallFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtbTosllBallFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtbTosllBallFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtbTosllBallFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtbTosllBallFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtbTosllBallFF.o: /usr/include/gconv.h
+EvtbTosllBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtbTosllBallFF.o: /usr/include/bits/stdio_lim.h
+EvtbTosllBallFF.o: /usr/include/bits/sys_errlist.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtbTosllBallFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtbTosllBallFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtbTosllBallFF.o: /usr/include/libintl.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtbTosllBallFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtbTosllBallFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtbTosllBallFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtbTosllBallFF.o: /usr/include/bits/pthreadtypes.h
+EvtbTosllBallFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtbTosllBallFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtbTosllBallFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtbTosllBallFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtbTosllBallFF.o: /usr/include/bits/endian.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtbTosllBallFF.o: /usr/include/stdint.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/exception
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/climits
+EvtbTosllBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtbTosllBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtbTosllBallFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtbTosllBallFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/string
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/memory
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/limits
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/algorithm
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/streambuf
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/locale
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/typeinfo
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/istream
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtbTosllBallFF.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/vector
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtbTosllBallFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtbTosllBallFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtbTosllBallFF.o: ../EvtGenModels/EvtbTosllBallFF.hh
+EvtbTosllBallFF.o: ../EvtGenModels/EvtbTosllFF.hh /usr/include/math.h
+EvtbTosllBallFF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtbTosllBallFF.o: /usr/include/bits/mathcalls.h
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtConst.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtbTosllScalarAmp.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtbTosllScalarAmp.o: /usr/include/gnu/stubs.h ../EvtGenBase/EvtVector4R.hh
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/iostream
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/ostream
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/ios
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/iosfwd
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/cstring
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/cstddef
+EvtbTosllScalarAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtbTosllScalarAmp.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtbTosllScalarAmp.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtbTosllScalarAmp.o: /usr/include/bits/wordsize.h
+EvtbTosllScalarAmp.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtbTosllScalarAmp.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtbTosllScalarAmp.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtbTosllScalarAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtbTosllScalarAmp.o: /usr/include/bits/stdio_lim.h
+EvtbTosllScalarAmp.o: /usr/include/bits/sys_errlist.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtbTosllScalarAmp.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtbTosllScalarAmp.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtbTosllScalarAmp.o: /usr/include/libintl.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtbTosllScalarAmp.o: /usr/include/pthread.h /usr/include/sched.h
+EvtbTosllScalarAmp.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtbTosllScalarAmp.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtbTosllScalarAmp.o: /usr/include/bits/pthreadtypes.h
+EvtbTosllScalarAmp.o: /usr/include/bits/initspin.h
+EvtbTosllScalarAmp.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtbTosllScalarAmp.o: /usr/include/bits/posix_opt.h
+EvtbTosllScalarAmp.o: /usr/include/bits/confname.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtbTosllScalarAmp.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/cwchar
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/exception
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/climits
+EvtbTosllScalarAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtbTosllScalarAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtbTosllScalarAmp.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtbTosllScalarAmp.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/cassert
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/string
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/memory
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/limits
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/algorithm
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/streambuf
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/locale
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/typeinfo
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/istream
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtbTosllScalarAmp.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtbTosllScalarAmp.o: /usr/include/bits/mathdef.h
+EvtbTosllScalarAmp.o: /usr/include/bits/mathcalls.h
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtId.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtPartProp.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/vector
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtStringHash.hh
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/map
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtbTosllScalarAmp.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtVector4C.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtVector3C.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtVector3R.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtTensor4C.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtDiracSpinor.hh
+EvtbTosllScalarAmp.o: ../EvtGenModels/EvtbTosllScalarAmp.hh
+EvtbTosllScalarAmp.o: ../EvtGenModels/EvtbTosllAmp.hh
+EvtbTosllScalarAmp.o: ../EvtGenBase/EvtIdSet.hh ../EvtGenBase/EvtAmp.hh
+EvtbTosllScalarAmp.o: ../EvtGenModels/EvtbTosllFF.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtPatches.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtbTosllVectorAmp.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtbTosllVectorAmp.o: /usr/include/gnu/stubs.h ../EvtGenBase/EvtVector4R.hh
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/iostream
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/ostream
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/ios
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/iosfwd
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/cstring
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/cstddef
+EvtbTosllVectorAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtbTosllVectorAmp.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtbTosllVectorAmp.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtbTosllVectorAmp.o: /usr/include/bits/wordsize.h
+EvtbTosllVectorAmp.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtbTosllVectorAmp.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtbTosllVectorAmp.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtbTosllVectorAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtbTosllVectorAmp.o: /usr/include/bits/stdio_lim.h
+EvtbTosllVectorAmp.o: /usr/include/bits/sys_errlist.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtbTosllVectorAmp.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtbTosllVectorAmp.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtbTosllVectorAmp.o: /usr/include/libintl.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtbTosllVectorAmp.o: /usr/include/pthread.h /usr/include/sched.h
+EvtbTosllVectorAmp.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtbTosllVectorAmp.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtbTosllVectorAmp.o: /usr/include/bits/pthreadtypes.h
+EvtbTosllVectorAmp.o: /usr/include/bits/initspin.h
+EvtbTosllVectorAmp.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtbTosllVectorAmp.o: /usr/include/bits/posix_opt.h
+EvtbTosllVectorAmp.o: /usr/include/bits/confname.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtbTosllVectorAmp.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/cwchar
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/exception
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/climits
+EvtbTosllVectorAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtbTosllVectorAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtbTosllVectorAmp.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtbTosllVectorAmp.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/cassert
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/string
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/memory
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/limits
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/algorithm
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/streambuf
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/locale
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/typeinfo
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/istream
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtbTosllVectorAmp.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtbTosllVectorAmp.o: /usr/include/bits/mathdef.h
+EvtbTosllVectorAmp.o: /usr/include/bits/mathcalls.h
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/vector
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtStringHash.hh
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/map
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtbTosllVectorAmp.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtVector4C.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtVector3C.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtVector3R.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtTensor4C.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtDiracSpinor.hh
+EvtbTosllVectorAmp.o: ../EvtGenModels/EvtbTosllVectorAmp.hh
+EvtbTosllVectorAmp.o: ../EvtGenModels/EvtbTosllAmp.hh
+EvtbTosllVectorAmp.o: ../EvtGenBase/EvtIdSet.hh ../EvtGenBase/EvtAmp.hh
+EvtbTosllVectorAmp.o: ../EvtGenModels/EvtbTosllFF.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBToVlnuBall.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBToVlnuBall.o: /usr/include/gnu/stubs.h
+EvtBToVlnuBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBToVlnuBall.o: /usr/include/assert.h ../EvtGenBase/EvtParticle.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtVector4R.hh
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/iostream
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/iosfwd
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/cstring
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBToVlnuBall.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtBToVlnuBall.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBToVlnuBall.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBToVlnuBall.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBToVlnuBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBToVlnuBall.o: /usr/include/bits/stdio_lim.h
+EvtBToVlnuBall.o: /usr/include/bits/sys_errlist.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBToVlnuBall.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBToVlnuBall.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBToVlnuBall.o: /usr/include/libintl.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBToVlnuBall.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBToVlnuBall.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBToVlnuBall.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBToVlnuBall.o: /usr/include/bits/pthreadtypes.h
+EvtBToVlnuBall.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBToVlnuBall.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBToVlnuBall.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBToVlnuBall.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBToVlnuBall.o: /usr/include/bits/endian.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBToVlnuBall.o: /usr/include/stdint.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/exception
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/climits
+EvtBToVlnuBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBToVlnuBall.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBToVlnuBall.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/new
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/cassert
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/limits
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/algorithm
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/streambuf
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/locale
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/typeinfo
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/istream
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBToVlnuBall.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBToVlnuBall.o: /usr/include/bits/mathcalls.h
+EvtBToVlnuBall.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtPartProp.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/vector
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBToVlnuBall.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBToVlnuBall.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBToVlnuBall.o: ../EvtGenModels/EvtBToVlnuBall.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtBToVlnuBall.o: ../EvtGenModels/EvtBToVlnuBallFF.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtBToVlnuBall.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtBToVlnuBallFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/iostream
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBToVlnuBallFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBToVlnuBallFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/cstring
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/cstddef
+EvtBToVlnuBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBToVlnuBallFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBToVlnuBallFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBToVlnuBallFF.o: /usr/include/bits/wordsize.h
+EvtBToVlnuBallFF.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBToVlnuBallFF.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBToVlnuBallFF.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBToVlnuBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBToVlnuBallFF.o: /usr/include/bits/stdio_lim.h
+EvtBToVlnuBallFF.o: /usr/include/bits/sys_errlist.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBToVlnuBallFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBToVlnuBallFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBToVlnuBallFF.o: /usr/include/libintl.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBToVlnuBallFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBToVlnuBallFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBToVlnuBallFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBToVlnuBallFF.o: /usr/include/bits/pthreadtypes.h
+EvtBToVlnuBallFF.o: /usr/include/bits/initspin.h
+EvtBToVlnuBallFF.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBToVlnuBallFF.o: /usr/include/bits/posix_opt.h
+EvtBToVlnuBallFF.o: /usr/include/bits/confname.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBToVlnuBallFF.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/cwchar
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/exception
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/climits
+EvtBToVlnuBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBToVlnuBallFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBToVlnuBallFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBToVlnuBallFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/string
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/memory
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/limits
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/algorithm
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/streambuf
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/locale
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/typeinfo
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/istream
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBToVlnuBallFF.o: ../EvtGenModels/EvtBToVlnuBallFF.hh
+EvtBToVlnuBallFF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtBToVlnuBallFF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBToVlnuBallFF.o: ../EvtGenBase/EvtSpinType.hh
+EvtBToVlnuBallFF.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/vector
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBToVlnuBallFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBToVlnuBallFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBToVlnuBallFF.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtBToVlnuBallFF.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtBtoXsEtap.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsEtap.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsEtap.o: /usr/include/gnu/stubs.h
+EvtBtoXsEtap.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsEtap.o: ../EvtGenBase/EvtRandom.hh ../EvtGenBase/EvtParticle.hh
+EvtBtoXsEtap.o: /usr/include/assert.h ../EvtGenBase/EvtVector4R.hh
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBtoXsEtap.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBtoXsEtap.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBtoXsEtap.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBtoXsEtap.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBtoXsEtap.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBtoXsEtap.o: /usr/include/gconv.h
+EvtBtoXsEtap.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsEtap.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoXsEtap.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoXsEtap.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoXsEtap.o: /usr/include/libintl.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsEtap.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsEtap.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsEtap.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsEtap.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtBtoXsEtap.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBtoXsEtap.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBtoXsEtap.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBtoXsEtap.o: /usr/include/stdint.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsEtap.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsEtap.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsEtap.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/new
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBtoXsEtap.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBtoXsEtap.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtBtoXsEtap.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtBtoXsEtap.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtBtoXsEtap.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtBtoXsEtap.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBtoXsEtap.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsEtap.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoXsEtap.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoXsEtap.o: ../EvtGenModels/EvtBtoXsEtap.hh
+EvtBtoXsEtap.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtBtoXsEtap.o: ../EvtGenBase/EvtDecayBase.hh
+EvtBtoXsgammaAbsModel.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsgammaAbsModel.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgammaAbsModel.o: /usr/include/gnu/stubs.h
+EvtBtoXsgammaAbsModel.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgammaAbsModel.o: ../EvtGenModels/EvtBtoXsgammaAbsModel.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsgammaAliGreub.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgammaAliGreub.o: /usr/include/gnu/stubs.h
+EvtBtoXsgammaAliGreub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtRandom.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenModels/EvtBtoXsgammaAliGreub.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenModels/EvtBtoXsgammaAbsModel.hh
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/string
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsgammaAliGreub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsgammaAliGreub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsgammaAliGreub.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/new
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/types.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/wordsize.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsgammaAliGreub.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsgammaAliGreub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoXsgammaAliGreub.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoXsgammaAliGreub.o: /usr/include/libintl.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsgammaAliGreub.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsgammaAliGreub.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsgammaAliGreub.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/initspin.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/posix_opt.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/confname.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBtoXsgammaAliGreub.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/cwchar
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/memory
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtConst.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtParticle.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtVector4R.hh
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/ostream
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/ios
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBtoXsgammaAliGreub.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/mathdef.h
+EvtBtoXsgammaAliGreub.o: /usr/include/bits/mathcalls.h
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtId.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtSpinType.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtReport.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtPartProp.hh
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsgammaAliGreub.o: ../EvtGenBase/EvtStringHash.hh
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/map
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoXsgammaAliGreub.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoXsgamma.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsgamma.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgamma.o: /usr/include/gnu/stubs.h
+EvtBtoXsgamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgamma.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtBtoXsgamma.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoXsgamma.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtBtoXsgamma.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsgamma.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsgamma.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsgamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsgamma.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsgamma.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoXsgamma.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoXsgamma.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoXsgamma.o: /usr/include/libintl.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsgamma.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsgamma.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsgamma.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsgamma.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsgamma.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBtoXsgamma.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBtoXsgamma.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBtoXsgamma.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBtoXsgamma.o: /usr/include/bits/endian.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBtoXsgamma.o: /usr/include/stdint.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsgamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsgamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsgamma.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/new
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBtoXsgamma.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBtoXsgamma.o: /usr/include/bits/mathcalls.h
+EvtBtoXsgamma.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtBtoXsgamma.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtBtoXsgamma.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBtoXsgamma.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtBtoXsgamma.o: ../EvtGenBase/EvtPartProp.hh
+EvtBtoXsgamma.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsgamma.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoXsgamma.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoXsgamma.o: ../EvtGenModels/EvtBtoXsgamma.hh
+EvtBtoXsgamma.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtBtoXsgamma.o: ../EvtGenBase/EvtDecayBase.hh
+EvtBtoXsgamma.o: ../EvtGenModels/EvtBtoXsgammaAliGreub.hh
+EvtBtoXsgamma.o: ../EvtGenModels/EvtBtoXsgammaAbsModel.hh
+EvtBtoXsgamma.o: ../EvtGenModels/EvtBtoXsgammaKagan.hh
+EvtBtoXsgamma.o: ../EvtGenModels/EvtBtoXsgammaFixedMass.hh
+EvtBtoXsgamma.o: ../EvtGenModels/EvtBtoXsgammaFlatEnergy.hh
+EvtBtoXsgammaFermiUtil.o: ../EvtGenBase/EvtPatches.hh
+EvtBtoXsgammaFermiUtil.o: ../EvtGenModels/EvtBtoXsgammaFermiUtil.hh
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/gnu/stubs.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cstddef
+EvtBtoXsgammaFermiUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/string.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsgammaFermiUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsgammaFermiUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/limits.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsgammaFermiUtil.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/types.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/wordsize.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsgammaFermiUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/clocale
+EvtBtoXsgammaFermiUtil.o: /usr/include/locale.h /usr/include/bits/locale.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/langinfo.h /usr/include/nl_types.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/iconv.h /usr/include/libintl.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/initspin.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/posix_opt.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/confname.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cwchar
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsgammaFermiUtil.o: /usr/include/assert.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsgammaFermiUtil.o: ../EvtGenModels/EvtItgTwoCoeffFcn.hh
+EvtBtoXsgammaFermiUtil.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtBtoXsgammaFermiUtil.o: ../EvtGenModels/EvtBtoXsgammaRootFinder.hh
+EvtBtoXsgammaFermiUtil.o: ../EvtGenModels/EvtItgFunction.hh
+EvtBtoXsgammaFermiUtil.o: ../EvtGenBase/EvtConst.hh
+EvtBtoXsgammaFermiUtil.o: ../EvtGenBase/EvtReport.hh
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/ostream
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/ios
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/string
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/memory
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/cwctype
+EvtBtoXsgammaFermiUtil.o: /usr/include/wctype.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsgammaFermiUtil.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBtoXsgammaFermiUtil.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/mathdef.h
+EvtBtoXsgammaFermiUtil.o: /usr/include/bits/mathcalls.h
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsgammaFixedMass.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgammaFixedMass.o: /usr/include/gnu/stubs.h
+EvtBtoXsgammaFixedMass.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgammaFixedMass.o: ../EvtGenModels/EvtBtoXsgamma.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtDecayBase.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtId.hh
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/ostream
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/ios
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/cstddef
+EvtBtoXsgammaFixedMass.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBtoXsgammaFixedMass.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/wordsize.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsgammaFixedMass.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsgammaFixedMass.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/clocale
+EvtBtoXsgammaFixedMass.o: /usr/include/locale.h /usr/include/bits/locale.h
+EvtBtoXsgammaFixedMass.o: /usr/include/langinfo.h /usr/include/nl_types.h
+EvtBtoXsgammaFixedMass.o: /usr/include/iconv.h /usr/include/libintl.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsgammaFixedMass.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsgammaFixedMass.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsgammaFixedMass.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/initspin.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/posix_opt.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/confname.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBtoXsgammaFixedMass.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/cwchar
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsgammaFixedMass.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsgammaFixedMass.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsgammaFixedMass.o: /usr/include/limits.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/new
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsgammaFixedMass.o: /usr/include/assert.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/string
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/memory
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/cwctype
+EvtBtoXsgammaFixedMass.o: /usr/include/wctype.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtSpinType.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtReport.hh
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtParticle.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtVector4R.hh /usr/include/math.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/huge_val.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/mathdef.h
+EvtBtoXsgammaFixedMass.o: /usr/include/bits/mathcalls.h
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtComplex.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenBase/EvtConst.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenModels/EvtBtoXsgammaFixedMass.hh
+EvtBtoXsgammaFixedMass.o: ../EvtGenModels/EvtBtoXsgammaAbsModel.hh
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/fstream
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtBtoXsgammaFixedMass.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/gnu/stubs.h
+EvtBtoXsgammaFlatEnergy.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenModels/EvtBtoXsgamma.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtDecayBase.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtId.hh
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/ostream
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/ios
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cstddef
+EvtBtoXsgammaFlatEnergy.o: /usr/include/string.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/types.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/wordsize.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsgammaFlatEnergy.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/clocale
+EvtBtoXsgammaFlatEnergy.o: /usr/include/locale.h /usr/include/bits/locale.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/langinfo.h /usr/include/nl_types.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/iconv.h /usr/include/libintl.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/initspin.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/sigthread.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/unistd.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/posix_opt.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/confname.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cwchar
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsgammaFlatEnergy.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsgammaFlatEnergy.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/limits.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/new
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsgammaFlatEnergy.o: /usr/include/assert.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/string
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/memory
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/cwctype
+EvtBtoXsgammaFlatEnergy.o: /usr/include/wctype.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtSpinType.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtReport.hh
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtParticle.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtVector4R.hh /usr/include/math.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/huge_val.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/mathdef.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/bits/mathcalls.h
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtComplex.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtConst.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenModels/EvtBtoXsgammaFlatEnergy.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenModels/EvtBtoXsgammaAbsModel.hh
+EvtBtoXsgammaFlatEnergy.o: ../EvtGenBase/EvtRandom.hh
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/fstream
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtBtoXsgammaFlatEnergy.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsgammaKagan.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgammaKagan.o: /usr/include/gnu/stubs.h
+EvtBtoXsgammaKagan.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtBtoXsgamma.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtId.hh
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/ostream
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/ios
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsgammaKagan.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsgammaKagan.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoXsgammaKagan.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoXsgammaKagan.o: /usr/include/libintl.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsgammaKagan.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsgammaKagan.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsgammaKagan.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/initspin.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/posix_opt.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/confname.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBtoXsgammaKagan.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/cwchar
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsgammaKagan.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsgammaKagan.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsgammaKagan.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/new
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/string
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/memory
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtParticle.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtVector4R.hh /usr/include/math.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/huge_val.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/mathdef.h
+EvtBtoXsgammaKagan.o: /usr/include/bits/mathcalls.h
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtRandom.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtBtoXsgammaKagan.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtBtoXsgammaAbsModel.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtPartProp.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBtoXsgammaKagan.o: ../EvtGenBase/EvtStringHash.hh
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/map
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgSimpsonIntegrator.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgAbsIntegrator.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgFunction.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgPtrFunction.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgTwoCoeffFcn.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgThreeCoeffFcn.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtItgFourCoeffFcn.hh
+EvtBtoXsgammaKagan.o: ../EvtGenModels/EvtBtoXsgammaFermiUtil.hh
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/fstream
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtBtoXsgammaKagan.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtBtoXsgammaRootFinder.o: ../EvtGenBase/EvtPatches.hh
+EvtBtoXsgammaRootFinder.o: ../EvtGenModels/EvtBtoXsgammaRootFinder.hh
+EvtBtoXsgammaRootFinder.o: ../EvtGenModels/EvtItgTwoCoeffFcn.hh
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsgammaRootFinder.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsgammaRootFinder.o: /usr/include/gnu/stubs.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cstddef
+EvtBtoXsgammaRootFinder.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsgammaRootFinder.o: /usr/include/string.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsgammaRootFinder.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsgammaRootFinder.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsgammaRootFinder.o: /usr/include/limits.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsgammaRootFinder.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/types.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/wordsize.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsgammaRootFinder.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsgammaRootFinder.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/clocale
+EvtBtoXsgammaRootFinder.o: /usr/include/locale.h /usr/include/bits/locale.h
+EvtBtoXsgammaRootFinder.o: /usr/include/langinfo.h /usr/include/nl_types.h
+EvtBtoXsgammaRootFinder.o: /usr/include/iconv.h /usr/include/libintl.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsgammaRootFinder.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsgammaRootFinder.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsgammaRootFinder.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/initspin.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/sigthread.h
+EvtBtoXsgammaRootFinder.o: /usr/include/unistd.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/posix_opt.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/confname.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtBtoXsgammaRootFinder.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cwchar
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsgammaRootFinder.o: /usr/include/assert.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsgammaRootFinder.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtBtoXsgammaRootFinder.o: ../EvtGenModels/EvtItgSimpsonIntegrator.hh
+EvtBtoXsgammaRootFinder.o: ../EvtGenModels/EvtItgAbsIntegrator.hh
+EvtBtoXsgammaRootFinder.o: ../EvtGenBase/EvtReport.hh
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/ostream
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/ios
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/string
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/memory
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/cwctype
+EvtBtoXsgammaRootFinder.o: /usr/include/wctype.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsgammaRootFinder.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtBtoXsgammaRootFinder.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/mathdef.h
+EvtBtoXsgammaRootFinder.o: /usr/include/bits/mathcalls.h
+EvtBtoXsll.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsll.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsll.o: /usr/include/gnu/stubs.h
+EvtBtoXsll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsll.o: ../EvtGenBase/EvtRandom.hh ../EvtGenBase/EvtParticle.hh
+EvtBtoXsll.o: /usr/include/assert.h ../EvtGenBase/EvtVector4R.hh
+EvtBtoXsll.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBtoXsll.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtBtoXsll.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtBtoXsll.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtBtoXsll.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtBtoXsll.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtBtoXsll.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtBtoXsll.o: /usr/include/gconv.h
+EvtBtoXsll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsll.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoXsll.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoXsll.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoXsll.o: /usr/include/libintl.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsll.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtBtoXsll.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtBtoXsll.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtBtoXsll.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBtoXsll.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBtoXsll.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBtoXsll.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBtoXsll.o: /usr/include/bits/endian.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBtoXsll.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsll.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsll.o: /usr/include/c++/3.4.6/new
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsll.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsll.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsll.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBtoXsll.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBtoXsll.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtBtoXsll.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtBtoXsll.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtBtoXsll.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtBtoXsll.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtBtoXsll.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsll.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoXsll.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoXsll.o: ../EvtGenModels/EvtbTosllAmp.hh ../EvtGenModels/EvtBtoXsll.hh
+EvtBtoXsll.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtBtoXsll.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenModels/EvtBtoXsllUtil.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtBtoXsllUtil.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtBtoXsllUtil.o: /usr/include/gnu/stubs.h
+EvtBtoXsllUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtRandom.hh ../EvtGenBase/EvtParticle.hh
+EvtBtoXsllUtil.o: /usr/include/assert.h ../EvtGenBase/EvtVector4R.hh
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/iostream
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/iosfwd
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/cstring
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtBtoXsllUtil.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtBtoXsllUtil.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtBtoXsllUtil.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtBtoXsllUtil.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtBtoXsllUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtBtoXsllUtil.o: /usr/include/bits/stdio_lim.h
+EvtBtoXsllUtil.o: /usr/include/bits/sys_errlist.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtBtoXsllUtil.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtBtoXsllUtil.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtBtoXsllUtil.o: /usr/include/libintl.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtBtoXsllUtil.o: /usr/include/pthread.h /usr/include/sched.h
+EvtBtoXsllUtil.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtBtoXsllUtil.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtBtoXsllUtil.o: /usr/include/bits/pthreadtypes.h
+EvtBtoXsllUtil.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtBtoXsllUtil.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtBtoXsllUtil.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtBtoXsllUtil.o: /usr/include/ctype.h /usr/include/endian.h
+EvtBtoXsllUtil.o: /usr/include/bits/endian.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtBtoXsllUtil.o: /usr/include/stdint.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/exception
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/climits
+EvtBtoXsllUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtBtoXsllUtil.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtBtoXsllUtil.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/new
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/cassert
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/limits
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/algorithm
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/streambuf
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/locale
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/typeinfo
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/istream
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtBtoXsllUtil.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtBtoXsllUtil.o: /usr/include/bits/mathcalls.h
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtPartProp.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/vector
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtBtoXsllUtil.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtBtoXsllUtil.o: ../EvtGenModels/EvtBtoXsllUtil.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtBtoXsllUtil.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtDiLog.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtCBTo3piMPP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtCBTo3piMPP.o: /usr/include/gnu/stubs.h
+EvtCBTo3piMPP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/iosfwd
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/cstring
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtCBTo3piMPP.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtCBTo3piMPP.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtCBTo3piMPP.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtCBTo3piMPP.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtCBTo3piMPP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtCBTo3piMPP.o: /usr/include/bits/stdio_lim.h
+EvtCBTo3piMPP.o: /usr/include/bits/sys_errlist.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtCBTo3piMPP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtCBTo3piMPP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtCBTo3piMPP.o: /usr/include/libintl.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtCBTo3piMPP.o: /usr/include/pthread.h /usr/include/sched.h
+EvtCBTo3piMPP.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtCBTo3piMPP.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtCBTo3piMPP.o: /usr/include/bits/pthreadtypes.h
+EvtCBTo3piMPP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtCBTo3piMPP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtCBTo3piMPP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtCBTo3piMPP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtCBTo3piMPP.o: /usr/include/bits/endian.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtCBTo3piMPP.o: /usr/include/stdint.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/exception
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/climits
+EvtCBTo3piMPP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtCBTo3piMPP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtCBTo3piMPP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/new
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/cassert
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/limits
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/algorithm
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/streambuf
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/locale
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/typeinfo
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/istream
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtCBTo3piMPP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtCBTo3piMPP.o: /usr/include/bits/mathcalls.h
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtPartProp.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/vector
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtCBTo3piMPP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtCBTo3piMPP.o: ../EvtGenModels/EvtCBTo3piMPP.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtCBTo3piMPP.o: ../EvtGenBase/EvtAmp.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtCBTo3piP00.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtCBTo3piP00.o: /usr/include/gnu/stubs.h
+EvtCBTo3piP00.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtCBTo3piP00.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtCBTo3piP00.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/iosfwd
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/cstring
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtCBTo3piP00.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtCBTo3piP00.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtCBTo3piP00.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtCBTo3piP00.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtCBTo3piP00.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtCBTo3piP00.o: /usr/include/bits/stdio_lim.h
+EvtCBTo3piP00.o: /usr/include/bits/sys_errlist.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtCBTo3piP00.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtCBTo3piP00.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtCBTo3piP00.o: /usr/include/libintl.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtCBTo3piP00.o: /usr/include/pthread.h /usr/include/sched.h
+EvtCBTo3piP00.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtCBTo3piP00.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtCBTo3piP00.o: /usr/include/bits/pthreadtypes.h
+EvtCBTo3piP00.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtCBTo3piP00.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtCBTo3piP00.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtCBTo3piP00.o: /usr/include/ctype.h /usr/include/endian.h
+EvtCBTo3piP00.o: /usr/include/bits/endian.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtCBTo3piP00.o: /usr/include/stdint.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/exception
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/climits
+EvtCBTo3piP00.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtCBTo3piP00.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtCBTo3piP00.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/new
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/cassert
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/limits
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/algorithm
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/streambuf
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/locale
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/typeinfo
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/istream
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtCBTo3piP00.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtCBTo3piP00.o: /usr/include/bits/mathcalls.h
+EvtCBTo3piP00.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtPartProp.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/vector
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtCBTo3piP00.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtCBTo3piP00.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtCBTo3piP00.o: ../EvtGenModels/EvtCBTo3piP00.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtCBTo3piP00.o: ../EvtGenBase/EvtAmp.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtParticle.hh
+EvtD0mixDalitz.o: /usr/include/assert.h /usr/include/features.h
+EvtD0mixDalitz.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtD0mixDalitz.o: ../EvtGenBase/EvtVector4R.hh
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/iostream
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/iosfwd
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/cstring
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/cstddef
+EvtD0mixDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtD0mixDalitz.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtD0mixDalitz.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtD0mixDalitz.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtD0mixDalitz.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtD0mixDalitz.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtD0mixDalitz.o: /usr/include/gconv.h
+EvtD0mixDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtD0mixDalitz.o: /usr/include/bits/stdio_lim.h
+EvtD0mixDalitz.o: /usr/include/bits/sys_errlist.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtD0mixDalitz.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtD0mixDalitz.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtD0mixDalitz.o: /usr/include/libintl.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtD0mixDalitz.o: /usr/include/pthread.h /usr/include/sched.h
+EvtD0mixDalitz.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtD0mixDalitz.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtD0mixDalitz.o: /usr/include/bits/pthreadtypes.h
+EvtD0mixDalitz.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtD0mixDalitz.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtD0mixDalitz.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtD0mixDalitz.o: /usr/include/ctype.h /usr/include/endian.h
+EvtD0mixDalitz.o: /usr/include/bits/endian.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtD0mixDalitz.o: /usr/include/stdint.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/exception
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/climits
+EvtD0mixDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtD0mixDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtD0mixDalitz.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtD0mixDalitz.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/cassert
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/limits
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/algorithm
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/streambuf
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/locale
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/typeinfo
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/istream
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtD0mixDalitz.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtD0mixDalitz.o: /usr/include/bits/mathcalls.h
+EvtD0mixDalitz.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/vector
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtD0mixDalitz.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtD0mixDalitz.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtD0mixDalitz.o: ../EvtGenBase/EvtRandom.hh ../EvtGenBase/EvtResonance.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtDalitzPlot.hh ../EvtGenBase/EvtCyclic3.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtTwoBodyVertex.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtTwoBodyKine.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtBlattWeisskopf.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtDecayMode.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtDalitzReso.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtDalitzPoint.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtDalitzCoord.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtD0mixDalitz.o: ../EvtGenBase/EvtAmp.hh ../EvtGenModels/EvtD0mixDalitz.hh
+EvtDDalitz.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtDDalitz.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtDDalitz.o: /usr/include/gnu/stubs.h
+EvtDDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtDDalitz.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtDDalitz.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtDDalitz.o: /usr/include/c++/3.4.6/iosfwd
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtDDalitz.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtDDalitz.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtDDalitz.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtDDalitz.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtDDalitz.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtDDalitz.o: /usr/include/gconv.h
+EvtDDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtDDalitz.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtDDalitz.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtDDalitz.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtDDalitz.o: /usr/include/libintl.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtDDalitz.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtDDalitz.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtDDalitz.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtDDalitz.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtDDalitz.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtDDalitz.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtDDalitz.o: /usr/include/ctype.h /usr/include/endian.h
+EvtDDalitz.o: /usr/include/bits/endian.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtDDalitz.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/exception
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/climits
+EvtDDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtDDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtDDalitz.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtDDalitz.o: /usr/include/c++/3.4.6/new
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/cassert
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/limits
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/algorithm
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtDDalitz.o: /usr/include/c++/3.4.6/streambuf
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtDDalitz.o: /usr/include/c++/3.4.6/locale
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtDDalitz.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtDDalitz.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtDDalitz.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtDDalitz.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtDDalitz.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtDDalitz.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtDDalitz.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtDDalitz.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtDDalitz.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtDDalitz.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtDDalitz.o: ../EvtGenBase/EvtResonance.hh ../EvtGenBase/EvtResonance2.hh
+EvtDDalitz.o: ../EvtGenModels/EvtDDalitz.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtDDalitz.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtDDalitz.o: ../EvtGenBase/EvtFlatte.hh ../EvtGenBase/EvtDecayTable.hh
+EvtDDalitz.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtDDalitz.o: ../EvtGenBase/EvtParticleDecay.hh
+EvtDMix.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtDMix.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtDMix.o: /usr/include/gnu/stubs.h
+EvtDMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtDMix.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtDMix.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtDMix.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtDMix.o: /usr/include/c++/3.4.6/iosfwd
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtDMix.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtDMix.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtDMix.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtDMix.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtDMix.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtDMix.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtDMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtDMix.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtDMix.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtDMix.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtDMix.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtDMix.o: /usr/include/libintl.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtDMix.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtDMix.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtDMix.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtDMix.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtDMix.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtDMix.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtDMix.o: /usr/include/ctype.h /usr/include/endian.h
+EvtDMix.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtDMix.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtDMix.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtDMix.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtDMix.o: /usr/include/c++/3.4.6/exception
+EvtDMix.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtDMix.o: /usr/include/c++/3.4.6/climits
+EvtDMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtDMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtDMix.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtDMix.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtDMix.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtDMix.o: /usr/include/c++/3.4.6/cassert
+EvtDMix.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtDMix.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtDMix.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtDMix.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtDMix.o: /usr/include/c++/3.4.6/limits
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtDMix.o: /usr/include/c++/3.4.6/algorithm
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtDMix.o: /usr/include/c++/3.4.6/streambuf
+EvtDMix.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtDMix.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtDMix.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtDMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtDMix.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtDMix.o: /usr/include/c++/3.4.6/locale
+EvtDMix.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtDMix.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtDMix.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtDMix.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtDMix.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtDMix.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtDMix.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtDMix.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtDMix.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtDMix.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtDMix.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtDMix.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtDMix.o: ../EvtGenModels/EvtDMix.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtDMix.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtRandom.hh
+EvtEtaDalitz.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtEtaDalitz.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtEtaDalitz.o: /usr/include/gnu/stubs.h
+EvtEtaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtEtaDalitz.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtEtaDalitz.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/iosfwd
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtEtaDalitz.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtEtaDalitz.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtEtaDalitz.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtEtaDalitz.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtEtaDalitz.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtEtaDalitz.o: /usr/include/gconv.h
+EvtEtaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtEtaDalitz.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtEtaDalitz.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtEtaDalitz.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtEtaDalitz.o: /usr/include/libintl.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtEtaDalitz.o: /usr/include/pthread.h /usr/include/sched.h
+EvtEtaDalitz.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtEtaDalitz.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtEtaDalitz.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtEtaDalitz.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtEtaDalitz.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtEtaDalitz.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtEtaDalitz.o: /usr/include/stdint.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/exception
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/climits
+EvtEtaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtEtaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtEtaDalitz.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/new
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/cassert
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/limits
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/algorithm
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/streambuf
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/locale
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/typeinfo
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/istream
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtEtaDalitz.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtEtaDalitz.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtEtaDalitz.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtEtaDalitz.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtEtaDalitz.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtEtaDalitz.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtEtaDalitz.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/vector
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtEtaDalitz.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtEtaDalitz.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtEtaDalitz.o: ../EvtGenModels/EvtEtaDalitz.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtEtaDalitz.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtPatches.hh ../EvtGenModels/EvtFlatQ2.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtDecayProb.hh ../EvtGenBase/EvtDecayBase.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtId.hh /usr/include/c++/3.4.6/iostream
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtFlatQ2.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtFlatQ2.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtFlatQ2.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtFlatQ2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtFlatQ2.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtFlatQ2.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtFlatQ2.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtFlatQ2.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtFlatQ2.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtFlatQ2.o: /usr/include/gconv.h
+EvtFlatQ2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtFlatQ2.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtFlatQ2.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtFlatQ2.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtFlatQ2.o: /usr/include/libintl.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtFlatQ2.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtFlatQ2.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtFlatQ2.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtFlatQ2.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtFlatQ2.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtFlatQ2.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtFlatQ2.o: /usr/include/ctype.h /usr/include/endian.h
+EvtFlatQ2.o: /usr/include/bits/endian.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtFlatQ2.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/exception
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/climits
+EvtFlatQ2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtFlatQ2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtFlatQ2.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtFlatQ2.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/limits
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/algorithm
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtFlatQ2.o: /usr/include/c++/3.4.6/streambuf
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtFlatQ2.o: /usr/include/c++/3.4.6/locale
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtFlatQ2.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtFlatQ2.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtFlatQ2.o: /usr/include/c++/3.4.6/vector
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtFlatQ2.o: /usr/include/c++/3.4.6/fstream
+EvtFlatQ2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtFlatQ2.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtParticle.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtVector4R.hh /usr/include/math.h
+EvtFlatQ2.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtFlatQ2.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtAbsLineShape.hh ../EvtGenBase/EvtStringHash.hh
+EvtFlatQ2.o: /usr/include/c++/3.4.6/map
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtFlatQ2.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtFlatQ2.o: ../EvtGenBase/EvtDiracSpinor.hh ../EvtGenBase/EvtVector3R.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtFlatQ2.o: ../EvtGenBase/EvtTensor4C.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtGoityRoberts.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtGoityRoberts.o: /usr/include/gnu/stubs.h
+EvtGoityRoberts.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtGoityRoberts.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtGoityRoberts.o: ../EvtGenBase/EvtVector4R.hh
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/iostream
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/iosfwd
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/cstring
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtGoityRoberts.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtGoityRoberts.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtGoityRoberts.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtGoityRoberts.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtGoityRoberts.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtGoityRoberts.o: /usr/include/bits/stdio_lim.h
+EvtGoityRoberts.o: /usr/include/bits/sys_errlist.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtGoityRoberts.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtGoityRoberts.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtGoityRoberts.o: /usr/include/libintl.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtGoityRoberts.o: /usr/include/pthread.h /usr/include/sched.h
+EvtGoityRoberts.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtGoityRoberts.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtGoityRoberts.o: /usr/include/bits/pthreadtypes.h
+EvtGoityRoberts.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtGoityRoberts.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtGoityRoberts.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtGoityRoberts.o: /usr/include/ctype.h /usr/include/endian.h
+EvtGoityRoberts.o: /usr/include/bits/endian.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtGoityRoberts.o: /usr/include/stdint.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/exception
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/climits
+EvtGoityRoberts.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtGoityRoberts.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtGoityRoberts.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/new
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/cassert
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/string
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/memory
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/limits
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/algorithm
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/streambuf
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/locale
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/typeinfo
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/istream
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtGoityRoberts.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtGoityRoberts.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtGoityRoberts.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/vector
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtGoityRoberts.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtGoityRoberts.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtGoityRoberts.o: ../EvtGenModels/EvtGoityRoberts.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtTensor4C.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtDiracSpinor.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtGoityRoberts.o: ../EvtGenBase/EvtVector3C.hh
+EvtHelAmp.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtHelAmp.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtHelAmp.o: /usr/include/gnu/stubs.h
+EvtHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtHelAmp.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtHelAmp.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtHelAmp.o: /usr/include/c++/3.4.6/iosfwd
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtHelAmp.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtHelAmp.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtHelAmp.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtHelAmp.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtHelAmp.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtHelAmp.o: /usr/include/gconv.h
+EvtHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtHelAmp.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtHelAmp.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtHelAmp.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtHelAmp.o: /usr/include/libintl.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtHelAmp.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtHelAmp.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtHelAmp.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtHelAmp.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtHelAmp.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtHelAmp.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtHelAmp.o: /usr/include/ctype.h /usr/include/endian.h
+EvtHelAmp.o: /usr/include/bits/endian.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtHelAmp.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/exception
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/climits
+EvtHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtHelAmp.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtHelAmp.o: /usr/include/c++/3.4.6/new
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/cassert
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/limits
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/algorithm
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtHelAmp.o: /usr/include/c++/3.4.6/streambuf
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtHelAmp.o: /usr/include/c++/3.4.6/locale
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtHelAmp.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtHelAmp.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtHelAmp.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtHelAmp.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtHelAmp.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtHelAmp.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtHelAmp.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtHelAmp.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtHelAmp.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtHelAmp.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtHelAmp.o: ../EvtGenModels/EvtHelAmp.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtHelAmp.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtHelAmp.o: ../EvtGenBase/EvtEvalHelAmp.hh
+EvtHQET2.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtHQET2.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtHQET2.o: /usr/include/gnu/stubs.h
+EvtHQET2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtHQET2.o: /usr/include/assert.h ../EvtGenBase/EvtParticle.hh
+EvtHQET2.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtHQET2.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtHQET2.o: /usr/include/c++/3.4.6/iosfwd
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtHQET2.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtHQET2.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtHQET2.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtHQET2.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtHQET2.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtHQET2.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtHQET2.o: /usr/include/gconv.h
+EvtHQET2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtHQET2.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtHQET2.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtHQET2.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtHQET2.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtHQET2.o: /usr/include/libintl.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtHQET2.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtHQET2.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtHQET2.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtHQET2.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtHQET2.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtHQET2.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtHQET2.o: /usr/include/ctype.h /usr/include/endian.h
+EvtHQET2.o: /usr/include/bits/endian.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtHQET2.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtHQET2.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtHQET2.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtHQET2.o: /usr/include/c++/3.4.6/exception
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtHQET2.o: /usr/include/c++/3.4.6/climits
+EvtHQET2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtHQET2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtHQET2.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtHQET2.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtHQET2.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtHQET2.o: /usr/include/c++/3.4.6/cassert
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtHQET2.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtHQET2.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtHQET2.o: /usr/include/c++/3.4.6/limits
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtHQET2.o: /usr/include/c++/3.4.6/algorithm
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtHQET2.o: /usr/include/c++/3.4.6/streambuf
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtHQET2.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtHQET2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtHQET2.o: /usr/include/c++/3.4.6/locale
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtHQET2.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtHQET2.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtHQET2.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtHQET2.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtHQET2.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtHQET2.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtHQET2.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtHQET2.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtHQET2.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtHQET2.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtHQET2.o: ../EvtGenModels/EvtHQET2.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtHQET2.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtHQET2.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtHQET2.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh ../EvtGenModels/EvtHQET2FF.hh
+EvtHQET2.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtHQET2.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtHQET2FF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtHQET2FF.o: /usr/include/c++/3.4.6/iostream
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtHQET2FF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtHQET2FF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtHQET2FF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtHQET2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtHQET2FF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtHQET2FF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtHQET2FF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtHQET2FF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtHQET2FF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtHQET2FF.o: /usr/include/gconv.h
+EvtHQET2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtHQET2FF.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtHQET2FF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtHQET2FF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtHQET2FF.o: /usr/include/libintl.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtHQET2FF.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtHQET2FF.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtHQET2FF.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtHQET2FF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtHQET2FF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtHQET2FF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtHQET2FF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtHQET2FF.o: /usr/include/bits/endian.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtHQET2FF.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/exception
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/climits
+EvtHQET2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtHQET2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtHQET2FF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtHQET2FF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/limits
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/algorithm
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtHQET2FF.o: /usr/include/c++/3.4.6/streambuf
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtHQET2FF.o: /usr/include/c++/3.4.6/locale
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtHQET2FF.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtHQET2FF.o: ../EvtGenModels/EvtHQET2FF.hh
+EvtHQET2FF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtHQET2FF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtHQET2FF.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtHQET2FF.o: /usr/include/c++/3.4.6/vector
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtHQET2FF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtHQET2FF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h /usr/include/math.h
+EvtHQET2FF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtHQET2FF.o: /usr/include/bits/mathcalls.h
+EvtHQET.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtHQET.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtHQET.o: /usr/include/gnu/stubs.h
+EvtHQET.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtHQET.o: /usr/include/assert.h ../EvtGenBase/EvtParticle.hh
+EvtHQET.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtHQET.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtHQET.o: /usr/include/c++/3.4.6/iosfwd
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtHQET.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtHQET.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtHQET.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtHQET.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtHQET.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtHQET.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtHQET.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtHQET.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtHQET.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtHQET.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtHQET.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtHQET.o: /usr/include/libintl.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtHQET.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtHQET.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtHQET.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtHQET.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtHQET.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtHQET.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtHQET.o: /usr/include/ctype.h /usr/include/endian.h
+EvtHQET.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtHQET.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtHQET.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtHQET.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtHQET.o: /usr/include/c++/3.4.6/exception
+EvtHQET.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtHQET.o: /usr/include/c++/3.4.6/climits
+EvtHQET.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtHQET.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtHQET.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtHQET.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtHQET.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtHQET.o: /usr/include/c++/3.4.6/cassert
+EvtHQET.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtHQET.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtHQET.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtHQET.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtHQET.o: /usr/include/c++/3.4.6/limits
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtHQET.o: /usr/include/c++/3.4.6/algorithm
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtHQET.o: /usr/include/c++/3.4.6/streambuf
+EvtHQET.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtHQET.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtHQET.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtHQET.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtHQET.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtHQET.o: /usr/include/c++/3.4.6/locale
+EvtHQET.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtHQET.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtHQET.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtHQET.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtHQET.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtHQET.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtHQET.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtHQET.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtHQET.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtHQET.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtHQET.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtHQET.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtHQET.o: ../EvtGenModels/EvtHQET.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtHQET.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtHQET.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtHQET.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh ../EvtGenModels/EvtHQETFF.hh
+EvtHQET.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtHQET.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtHQETFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtHQETFF.o: /usr/include/c++/3.4.6/iostream
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtHQETFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtHQETFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtHQETFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtHQETFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtHQETFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtHQETFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtHQETFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtHQETFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtHQETFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtHQETFF.o: /usr/include/gconv.h
+EvtHQETFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtHQETFF.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtHQETFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtHQETFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtHQETFF.o: /usr/include/libintl.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtHQETFF.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtHQETFF.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtHQETFF.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtHQETFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtHQETFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtHQETFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtHQETFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtHQETFF.o: /usr/include/bits/endian.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtHQETFF.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/exception
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/climits
+EvtHQETFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtHQETFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtHQETFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtHQETFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/limits
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/algorithm
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtHQETFF.o: /usr/include/c++/3.4.6/streambuf
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtHQETFF.o: /usr/include/c++/3.4.6/locale
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtHQETFF.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtHQETFF.o: ../EvtGenModels/EvtHQETFF.hh ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtHQETFF.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtPDL.hh
+EvtHQETFF.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtSpinType.hh
+EvtHQETFF.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtHQETFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtHQETFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h /usr/include/math.h
+EvtHQETFF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtHQETFF.o: /usr/include/bits/mathcalls.h
+EvtHypNonLepton.o: ../EvtGenModels/EvtHypNonLepton.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtId.hh
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/iostream
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtHypNonLepton.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtHypNonLepton.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/cstring
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/cstddef
+EvtHypNonLepton.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtHypNonLepton.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtHypNonLepton.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtHypNonLepton.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtHypNonLepton.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtHypNonLepton.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtHypNonLepton.o: /usr/include/gconv.h
+EvtHypNonLepton.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtHypNonLepton.o: /usr/include/bits/stdio_lim.h
+EvtHypNonLepton.o: /usr/include/bits/sys_errlist.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtHypNonLepton.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtHypNonLepton.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtHypNonLepton.o: /usr/include/libintl.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtHypNonLepton.o: /usr/include/pthread.h /usr/include/sched.h
+EvtHypNonLepton.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtHypNonLepton.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtHypNonLepton.o: /usr/include/bits/pthreadtypes.h
+EvtHypNonLepton.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtHypNonLepton.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtHypNonLepton.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtHypNonLepton.o: /usr/include/ctype.h /usr/include/endian.h
+EvtHypNonLepton.o: /usr/include/bits/endian.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtHypNonLepton.o: /usr/include/stdint.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/exception
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/climits
+EvtHypNonLepton.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtHypNonLepton.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtHypNonLepton.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtHypNonLepton.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/string
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/memory
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/limits
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/algorithm
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/streambuf
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/locale
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/typeinfo
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/istream
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtHypNonLepton.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/vector
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtHypNonLepton.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtComplex.hh
+EvtHypNonLepton.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtHypNonLepton.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtHypNonLepton.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtParticle.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtVector4R.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtPDL.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtPartProp.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtHypNonLepton.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtHypNonLepton.o: ../EvtGenBase/EvtDiracSpinor.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtHypNonLepton.o: ../EvtGenBase/EvtGammaMatrix.hh
+EvtISGW2.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtISGW2.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtISGW2.o: /usr/include/gnu/stubs.h
+EvtISGW2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtISGW2.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtISGW2.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtISGW2.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtISGW2.o: /usr/include/c++/3.4.6/iosfwd
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtISGW2.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtISGW2.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtISGW2.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtISGW2.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtISGW2.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtISGW2.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtISGW2.o: /usr/include/gconv.h
+EvtISGW2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtISGW2.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtISGW2.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtISGW2.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtISGW2.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtISGW2.o: /usr/include/libintl.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtISGW2.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtISGW2.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtISGW2.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtISGW2.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtISGW2.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtISGW2.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtISGW2.o: /usr/include/ctype.h /usr/include/endian.h
+EvtISGW2.o: /usr/include/bits/endian.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtISGW2.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtISGW2.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtISGW2.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtISGW2.o: /usr/include/c++/3.4.6/exception
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtISGW2.o: /usr/include/c++/3.4.6/climits
+EvtISGW2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtISGW2.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtISGW2.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtISGW2.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtISGW2.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtISGW2.o: /usr/include/c++/3.4.6/cassert
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtISGW2.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtISGW2.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtISGW2.o: /usr/include/c++/3.4.6/limits
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtISGW2.o: /usr/include/c++/3.4.6/algorithm
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtISGW2.o: /usr/include/c++/3.4.6/streambuf
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtISGW2.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtISGW2.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtISGW2.o: /usr/include/c++/3.4.6/locale
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtISGW2.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtISGW2.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtISGW2.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtISGW2.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtISGW2.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtISGW2.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtISGW2.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtISGW2.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtISGW2.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtISGW2.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtISGW2.o: ../EvtGenModels/EvtISGW2.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtISGW2.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtISGW2.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtISGW2.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh ../EvtGenBase/EvtIdSet.hh
+EvtISGW2.o: ../EvtGenModels/EvtISGW2FF.hh
+EvtISGW2.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtISGW2.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtISGW2.o: ../EvtGenBase/EvtSemiLeptonicTensorAmp.hh
+EvtISGW2FF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtISGW2FF.o: /usr/include/c++/3.4.6/iostream
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtISGW2FF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtISGW2FF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtISGW2FF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtISGW2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtISGW2FF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtISGW2FF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtISGW2FF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtISGW2FF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtISGW2FF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtISGW2FF.o: /usr/include/gconv.h
+EvtISGW2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtISGW2FF.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtISGW2FF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtISGW2FF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtISGW2FF.o: /usr/include/libintl.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtISGW2FF.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtISGW2FF.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtISGW2FF.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtISGW2FF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtISGW2FF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtISGW2FF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtISGW2FF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtISGW2FF.o: /usr/include/bits/endian.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtISGW2FF.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/exception
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/climits
+EvtISGW2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtISGW2FF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtISGW2FF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtISGW2FF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/limits
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/algorithm
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtISGW2FF.o: /usr/include/c++/3.4.6/streambuf
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtISGW2FF.o: /usr/include/c++/3.4.6/locale
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtISGW2FF.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtISGW2FF.o: ../EvtGenModels/EvtISGW2FF.hh
+EvtISGW2FF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtISGW2FF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtISGW2FF.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtISGW2FF.o: /usr/include/c++/3.4.6/vector
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtISGW2FF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtISGW2FF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtISGW2FF.o: ../EvtGenBase/EvtIdSet.hh ../EvtGenBase/EvtConst.hh
+EvtISGW2FF.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtISGW2FF.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtISGW.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtISGW.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtISGW.o: /usr/include/gnu/stubs.h
+EvtISGW.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtISGW.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtISGW.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtISGW.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtISGW.o: /usr/include/c++/3.4.6/iosfwd
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtISGW.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtISGW.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtISGW.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtISGW.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtISGW.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtISGW.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtISGW.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtISGW.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtISGW.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtISGW.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtISGW.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtISGW.o: /usr/include/libintl.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtISGW.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtISGW.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtISGW.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtISGW.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtISGW.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtISGW.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtISGW.o: /usr/include/ctype.h /usr/include/endian.h
+EvtISGW.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtISGW.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtISGW.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtISGW.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtISGW.o: /usr/include/c++/3.4.6/exception
+EvtISGW.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtISGW.o: /usr/include/c++/3.4.6/climits
+EvtISGW.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtISGW.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtISGW.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtISGW.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtISGW.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtISGW.o: /usr/include/c++/3.4.6/cassert
+EvtISGW.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtISGW.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtISGW.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtISGW.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtISGW.o: /usr/include/c++/3.4.6/limits
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtISGW.o: /usr/include/c++/3.4.6/algorithm
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtISGW.o: /usr/include/c++/3.4.6/streambuf
+EvtISGW.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtISGW.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtISGW.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtISGW.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtISGW.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtISGW.o: /usr/include/c++/3.4.6/locale
+EvtISGW.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtISGW.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtISGW.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtISGW.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtISGW.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtISGW.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtISGW.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtISGW.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtISGW.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtISGW.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtISGW.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtISGW.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtISGW.o: ../EvtGenModels/EvtISGW.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtISGW.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtISGW.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtISGW.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh ../EvtGenModels/EvtISGWFF.hh
+EvtISGW.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtISGW.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtISGW.o: ../EvtGenBase/EvtSemiLeptonicTensorAmp.hh
+EvtISGWFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtISGWFF.o: /usr/include/c++/3.4.6/iostream
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtISGWFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtISGWFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtISGWFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtISGWFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtISGWFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtISGWFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtISGWFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtISGWFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtISGWFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtISGWFF.o: /usr/include/gconv.h
+EvtISGWFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtISGWFF.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtISGWFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtISGWFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtISGWFF.o: /usr/include/libintl.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtISGWFF.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtISGWFF.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtISGWFF.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtISGWFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtISGWFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtISGWFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtISGWFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtISGWFF.o: /usr/include/bits/endian.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtISGWFF.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/exception
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/climits
+EvtISGWFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtISGWFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtISGWFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtISGWFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/limits
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/algorithm
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtISGWFF.o: /usr/include/c++/3.4.6/streambuf
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtISGWFF.o: /usr/include/c++/3.4.6/locale
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtISGWFF.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtISGWFF.o: ../EvtGenModels/EvtISGWFF.hh ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtISGWFF.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtPDL.hh
+EvtISGWFF.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtSpinType.hh
+EvtISGWFF.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtISGWFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtISGWFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h /usr/include/math.h
+EvtISGWFF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtISGWFF.o: /usr/include/bits/mathcalls.h
+EvtItgAbsFunction.o: ../EvtGenBase/EvtPatches.hh
+EvtItgAbsFunction.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtItgAbsFunction.o: /usr/include/assert.h /usr/include/features.h
+EvtItgAbsFunction.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtItgAbsFunction.o: ../EvtGenBase/EvtReport.hh
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/iostream
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/ostream
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/cstring
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/cstddef
+EvtItgAbsFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtItgAbsFunction.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtItgAbsFunction.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtItgAbsFunction.o: /usr/include/bits/wordsize.h
+EvtItgAbsFunction.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtItgAbsFunction.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtItgAbsFunction.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtItgAbsFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtItgAbsFunction.o: /usr/include/bits/stdio_lim.h
+EvtItgAbsFunction.o: /usr/include/bits/sys_errlist.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtItgAbsFunction.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtItgAbsFunction.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtItgAbsFunction.o: /usr/include/libintl.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtItgAbsFunction.o: /usr/include/pthread.h /usr/include/sched.h
+EvtItgAbsFunction.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtItgAbsFunction.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtItgAbsFunction.o: /usr/include/bits/pthreadtypes.h
+EvtItgAbsFunction.o: /usr/include/bits/initspin.h
+EvtItgAbsFunction.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtItgAbsFunction.o: /usr/include/bits/posix_opt.h
+EvtItgAbsFunction.o: /usr/include/bits/confname.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtItgAbsFunction.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/cwchar
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/exception
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/climits
+EvtItgAbsFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtItgAbsFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtItgAbsFunction.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtItgAbsFunction.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/cassert
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/string
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/memory
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/limits
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/algorithm
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/streambuf
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/locale
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/typeinfo
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/istream
+EvtItgAbsFunction.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtItgAbsIntegrator.o: ../EvtGenBase/EvtPatches.hh
+EvtItgAbsIntegrator.o: ../EvtGenModels/EvtItgAbsIntegrator.hh
+EvtItgAbsIntegrator.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtItgAbsIntegrator.o: /usr/include/math.h /usr/include/features.h
+EvtItgAbsIntegrator.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtItgAbsIntegrator.o: /usr/include/bits/huge_val.h
+EvtItgAbsIntegrator.o: /usr/include/bits/mathdef.h
+EvtItgAbsIntegrator.o: /usr/include/bits/mathcalls.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/iostream
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/ostream
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/ios
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/iosfwd
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/cstring
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/cstddef
+EvtItgAbsIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtItgAbsIntegrator.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtItgAbsIntegrator.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtItgAbsIntegrator.o: /usr/include/bits/wordsize.h
+EvtItgAbsIntegrator.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtItgAbsIntegrator.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtItgAbsIntegrator.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtItgAbsIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtItgAbsIntegrator.o: /usr/include/bits/stdio_lim.h
+EvtItgAbsIntegrator.o: /usr/include/bits/sys_errlist.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtItgAbsIntegrator.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtItgAbsIntegrator.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtItgAbsIntegrator.o: /usr/include/libintl.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtItgAbsIntegrator.o: /usr/include/pthread.h /usr/include/sched.h
+EvtItgAbsIntegrator.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtItgAbsIntegrator.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtItgAbsIntegrator.o: /usr/include/bits/pthreadtypes.h
+EvtItgAbsIntegrator.o: /usr/include/bits/initspin.h
+EvtItgAbsIntegrator.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtItgAbsIntegrator.o: /usr/include/bits/posix_opt.h
+EvtItgAbsIntegrator.o: /usr/include/bits/confname.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtItgAbsIntegrator.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/cwchar
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/exception
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/climits
+EvtItgAbsIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtItgAbsIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtItgAbsIntegrator.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtItgAbsIntegrator.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/string
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/memory
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/limits
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/algorithm
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/streambuf
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/locale
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/typeinfo
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/istream
+EvtItgAbsIntegrator.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtItgAbsIntegrator.o: ../EvtGenBase/EvtReport.hh
+EvtItgFourCoeffFcn.o: ../EvtGenBase/EvtPatches.hh
+EvtItgFourCoeffFcn.o: ../EvtGenModels/EvtItgFourCoeffFcn.hh
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/vector
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtItgFourCoeffFcn.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtItgFourCoeffFcn.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/cstring
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/cstddef
+EvtItgFourCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtItgFourCoeffFcn.o: /usr/include/string.h /usr/include/c++/3.4.6/climits
+EvtItgFourCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtItgFourCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtItgFourCoeffFcn.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtItgFourCoeffFcn.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/exception
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/iosfwd
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtItgFourCoeffFcn.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtItgFourCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/stdio_lim.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/sys_errlist.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtItgFourCoeffFcn.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtItgFourCoeffFcn.o: /usr/include/libintl.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtItgFourCoeffFcn.o: /usr/include/pthread.h /usr/include/sched.h
+EvtItgFourCoeffFcn.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtItgFourCoeffFcn.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/pthreadtypes.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/initspin.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/posix_opt.h
+EvtItgFourCoeffFcn.o: /usr/include/bits/confname.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtItgFourCoeffFcn.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/cwchar
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtItgFourCoeffFcn.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtItgFourCoeffFcn.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtItgFunction.o: ../EvtGenBase/EvtPatches.hh
+EvtItgFunction.o: ../EvtGenModels/EvtItgFunction.hh
+EvtItgFunction.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtItgPtrFunction.o: ../EvtGenBase/EvtPatches.hh
+EvtItgPtrFunction.o: ../EvtGenModels/EvtItgPtrFunction.hh
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/vector
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtItgPtrFunction.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtItgPtrFunction.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/cstring
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/cstddef
+EvtItgPtrFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtItgPtrFunction.o: /usr/include/string.h /usr/include/c++/3.4.6/climits
+EvtItgPtrFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtItgPtrFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtItgPtrFunction.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtItgPtrFunction.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/exception
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/iosfwd
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtItgPtrFunction.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtItgPtrFunction.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtItgPtrFunction.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtItgPtrFunction.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtItgPtrFunction.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtItgPtrFunction.o: /usr/include/bits/stdio_lim.h
+EvtItgPtrFunction.o: /usr/include/bits/sys_errlist.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtItgPtrFunction.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtItgPtrFunction.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtItgPtrFunction.o: /usr/include/libintl.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtItgPtrFunction.o: /usr/include/pthread.h /usr/include/sched.h
+EvtItgPtrFunction.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtItgPtrFunction.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtItgPtrFunction.o: /usr/include/bits/pthreadtypes.h
+EvtItgPtrFunction.o: /usr/include/bits/initspin.h
+EvtItgPtrFunction.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtItgPtrFunction.o: /usr/include/bits/posix_opt.h
+EvtItgPtrFunction.o: /usr/include/bits/confname.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtItgPtrFunction.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/cwchar
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtItgPtrFunction.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtItgPtrFunction.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtItgSimpsonIntegrator.o: ../EvtGenBase/EvtPatches.hh
+EvtItgSimpsonIntegrator.o: ../EvtGenModels/EvtItgSimpsonIntegrator.hh
+EvtItgSimpsonIntegrator.o: ../EvtGenModels/EvtItgAbsIntegrator.hh
+EvtItgSimpsonIntegrator.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtItgSimpsonIntegrator.o: /usr/include/math.h /usr/include/features.h
+EvtItgSimpsonIntegrator.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/huge_val.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/mathdef.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/mathcalls.h
+EvtItgSimpsonIntegrator.o: ../EvtGenBase/EvtReport.hh
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/iostream
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/ostream
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/ios
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/iosfwd
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cstring
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cstddef
+EvtItgSimpsonIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtItgSimpsonIntegrator.o: /usr/include/string.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/types.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/wordsize.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtItgSimpsonIntegrator.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtItgSimpsonIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/stdio_lim.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/sys_errlist.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/clocale
+EvtItgSimpsonIntegrator.o: /usr/include/locale.h /usr/include/bits/locale.h
+EvtItgSimpsonIntegrator.o: /usr/include/langinfo.h /usr/include/nl_types.h
+EvtItgSimpsonIntegrator.o: /usr/include/iconv.h /usr/include/libintl.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtItgSimpsonIntegrator.o: /usr/include/pthread.h /usr/include/sched.h
+EvtItgSimpsonIntegrator.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtItgSimpsonIntegrator.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/pthreadtypes.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/initspin.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/sigthread.h
+EvtItgSimpsonIntegrator.o: /usr/include/unistd.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/posix_opt.h
+EvtItgSimpsonIntegrator.o: /usr/include/bits/confname.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtItgSimpsonIntegrator.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cwchar
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/exception
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/climits
+EvtItgSimpsonIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtItgSimpsonIntegrator.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtItgSimpsonIntegrator.o: /usr/include/limits.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cstdlib
+EvtItgSimpsonIntegrator.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cassert
+EvtItgSimpsonIntegrator.o: /usr/include/assert.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/string
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/memory
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/limits
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/algorithm
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/streambuf
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/cwctype
+EvtItgSimpsonIntegrator.o: /usr/include/wctype.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/locale
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/typeinfo
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/istream
+EvtItgSimpsonIntegrator.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtItgThreeCoeffFcn.o: ../EvtGenBase/EvtPatches.hh
+EvtItgThreeCoeffFcn.o: ../EvtGenModels/EvtItgThreeCoeffFcn.hh
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/vector
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtItgThreeCoeffFcn.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtItgThreeCoeffFcn.o: /usr/include/gnu/stubs.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/cstring
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/cstddef
+EvtItgThreeCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtItgThreeCoeffFcn.o: /usr/include/string.h /usr/include/c++/3.4.6/climits
+EvtItgThreeCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtItgThreeCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtItgThreeCoeffFcn.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtItgThreeCoeffFcn.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/exception
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/iosfwd
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtItgThreeCoeffFcn.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtItgThreeCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/stdio_lim.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/sys_errlist.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtItgThreeCoeffFcn.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtItgThreeCoeffFcn.o: /usr/include/libintl.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtItgThreeCoeffFcn.o: /usr/include/pthread.h /usr/include/sched.h
+EvtItgThreeCoeffFcn.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtItgThreeCoeffFcn.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/pthreadtypes.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/initspin.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/posix_opt.h
+EvtItgThreeCoeffFcn.o: /usr/include/bits/confname.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtItgThreeCoeffFcn.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/cwchar
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtItgThreeCoeffFcn.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtItgThreeCoeffFcn.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtItgTwoCoeffFcn.o: ../EvtGenBase/EvtPatches.hh
+EvtItgTwoCoeffFcn.o: ../EvtGenModels/EvtItgTwoCoeffFcn.hh
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/vector
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtItgTwoCoeffFcn.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtItgTwoCoeffFcn.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/cstring
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/cstddef
+EvtItgTwoCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtItgTwoCoeffFcn.o: /usr/include/string.h /usr/include/c++/3.4.6/climits
+EvtItgTwoCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtItgTwoCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtItgTwoCoeffFcn.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtItgTwoCoeffFcn.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/exception
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/iosfwd
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtItgTwoCoeffFcn.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtItgTwoCoeffFcn.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/stdio_lim.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/sys_errlist.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtItgTwoCoeffFcn.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtItgTwoCoeffFcn.o: /usr/include/libintl.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtItgTwoCoeffFcn.o: /usr/include/pthread.h /usr/include/sched.h
+EvtItgTwoCoeffFcn.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtItgTwoCoeffFcn.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/pthreadtypes.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/initspin.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/posix_opt.h
+EvtItgTwoCoeffFcn.o: /usr/include/bits/confname.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtItgTwoCoeffFcn.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/cwchar
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtItgTwoCoeffFcn.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtItgTwoCoeffFcn.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtJetSet.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtParticle.hh
+EvtJetSet.o: /usr/include/assert.h /usr/include/features.h
+EvtJetSet.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtJetSet.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtJetSet.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtJetSet.o: /usr/include/c++/3.4.6/iosfwd
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtJetSet.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtJetSet.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtJetSet.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtJetSet.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtJetSet.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtJetSet.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtJetSet.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtJetSet.o: /usr/include/gconv.h
+EvtJetSet.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtJetSet.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtJetSet.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtJetSet.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtJetSet.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtJetSet.o: /usr/include/libintl.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtJetSet.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtJetSet.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtJetSet.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtJetSet.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtJetSet.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtJetSet.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtJetSet.o: /usr/include/ctype.h /usr/include/endian.h
+EvtJetSet.o: /usr/include/bits/endian.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtJetSet.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtJetSet.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtJetSet.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtJetSet.o: /usr/include/c++/3.4.6/exception
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtJetSet.o: /usr/include/c++/3.4.6/climits
+EvtJetSet.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtJetSet.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtJetSet.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtJetSet.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtJetSet.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtJetSet.o: /usr/include/c++/3.4.6/cassert
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtJetSet.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtJetSet.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtJetSet.o: /usr/include/c++/3.4.6/limits
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtJetSet.o: /usr/include/c++/3.4.6/algorithm
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtJetSet.o: /usr/include/c++/3.4.6/streambuf
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtJetSet.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtJetSet.o: /usr/include/c++/3.4.6/locale
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtJetSet.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtJetSet.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtJetSet.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtJetSet.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtJetSet.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtJetSet.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtStringParticle.hh
+EvtJetSet.o: ../EvtGenBase/EvtDecayTable.hh ../EvtGenBase/EvtDecayBase.hh
+EvtJetSet.o: /usr/include/c++/3.4.6/vector
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtJetSet.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtJetSet.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtJetSet.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtJetSet.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtJetSet.o: ../EvtGenModels/EvtJetSet.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtJetSet.o: /usr/include/c++/3.4.6/iomanip /usr/include/c++/3.4.6/functional
+EvtJetSet.o: /usr/include/c++/3.4.6/fstream
+EvtJetSet.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtJetSet.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtJetSetCDF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtParticle.hh
+EvtJetSetCDF.o: /usr/include/assert.h /usr/include/features.h
+EvtJetSetCDF.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtJetSetCDF.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/iosfwd
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtJetSetCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtJetSetCDF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtJetSetCDF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtJetSetCDF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtJetSetCDF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtJetSetCDF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtJetSetCDF.o: /usr/include/gconv.h
+EvtJetSetCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtJetSetCDF.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtJetSetCDF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtJetSetCDF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtJetSetCDF.o: /usr/include/libintl.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtJetSetCDF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtJetSetCDF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtJetSetCDF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtJetSetCDF.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtJetSetCDF.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtJetSetCDF.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtJetSetCDF.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtJetSetCDF.o: /usr/include/stdint.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/exception
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/climits
+EvtJetSetCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtJetSetCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtJetSetCDF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtJetSetCDF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/cassert
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/limits
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/algorithm
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/streambuf
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/locale
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/typeinfo
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/istream
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtJetSetCDF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtJetSetCDF.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtStringParticle.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtDecayTable.hh ../EvtGenBase/EvtDecayBase.hh
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/vector
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtJetSetCDF.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtJetSetCDF.o: ../EvtGenModels/EvtJetSetCDF.hh
+EvtJetSetCDF.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/iomanip
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/functional
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/fstream
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtJetSetCDF.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtJscont.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtJscont.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtJscont.o: /usr/include/gnu/stubs.h
+EvtJscont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtJscont.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtJscont.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtJscont.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtJscont.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtJscont.o: /usr/include/gconv.h
+EvtJscont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtJscont.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtJscont.o: /usr/include/string.h ../EvtGenBase/EvtParticle.hh
+EvtJscont.o: /usr/include/assert.h ../EvtGenBase/EvtVector4R.hh
+EvtJscont.o: /usr/include/c++/3.4.6/iostream
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtJscont.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtJscont.o: /usr/include/c++/3.4.6/iosfwd
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtJscont.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtJscont.o: /usr/include/c++/3.4.6/cstdio /usr/include/c++/3.4.6/clocale
+EvtJscont.o: /usr/include/locale.h /usr/include/bits/locale.h
+EvtJscont.o: /usr/include/langinfo.h /usr/include/nl_types.h
+EvtJscont.o: /usr/include/iconv.h /usr/include/libintl.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtJscont.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtJscont.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtJscont.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtJscont.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtJscont.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtJscont.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtJscont.o: /usr/include/ctype.h /usr/include/endian.h
+EvtJscont.o: /usr/include/bits/endian.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtJscont.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtJscont.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtJscont.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtJscont.o: /usr/include/c++/3.4.6/exception
+EvtJscont.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtJscont.o: /usr/include/c++/3.4.6/climits
+EvtJscont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtJscont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtJscont.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtJscont.o: /usr/include/c++/3.4.6/new
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtJscont.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtJscont.o: /usr/include/c++/3.4.6/cassert
+EvtJscont.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtJscont.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtJscont.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtJscont.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtJscont.o: /usr/include/c++/3.4.6/limits
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtJscont.o: /usr/include/c++/3.4.6/algorithm
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtJscont.o: /usr/include/c++/3.4.6/streambuf
+EvtJscont.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtJscont.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtJscont.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtJscont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtJscont.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtJscont.o: /usr/include/c++/3.4.6/locale
+EvtJscont.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtJscont.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtJscont.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtJscont.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtJscont.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtJscont.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtJscont.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtJscont.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtDecayTable.hh
+EvtJscont.o: ../EvtGenBase/EvtDecayBase.hh /usr/include/c++/3.4.6/vector
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtJscont.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtJscont.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtJscont.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtJscont.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtJscont.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtJscont.o: ../EvtGenModels/EvtJscont.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtJscont.o: ../EvtGenModels/EvtJetSet.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtJscontCDF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtJscontCDF.o: /usr/include/gnu/stubs.h
+EvtJscontCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtJscontCDF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtJscontCDF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtJscontCDF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtJscontCDF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtJscontCDF.o: /usr/include/gconv.h
+EvtJscontCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtJscontCDF.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtJscontCDF.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtJscontCDF.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtJscontCDF.o: /usr/include/c++/3.4.6/iosfwd
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtJscontCDF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtJscontCDF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtJscontCDF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtJscontCDF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtJscontCDF.o: /usr/include/libintl.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtJscontCDF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtJscontCDF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtJscontCDF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtJscontCDF.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtJscontCDF.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtJscontCDF.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtJscontCDF.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtJscontCDF.o: /usr/include/stdint.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/exception
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/climits
+EvtJscontCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtJscontCDF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtJscontCDF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtJscontCDF.o: /usr/include/c++/3.4.6/new
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/cassert
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/limits
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/algorithm
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtJscontCDF.o: /usr/include/c++/3.4.6/streambuf
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtJscontCDF.o: /usr/include/c++/3.4.6/locale
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtJscontCDF.o: /usr/include/c++/3.4.6/typeinfo
+EvtJscontCDF.o: /usr/include/c++/3.4.6/istream
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtJscontCDF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtJscontCDF.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtDecayTable.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtDecayBase.hh /usr/include/c++/3.4.6/vector
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtJscontCDF.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtJscontCDF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtJscontCDF.o: ../EvtGenModels/EvtJscontCDF.hh
+EvtJscontCDF.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtJscontCDF.o: ../EvtGenModels/EvtJetSetCDF.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtKKLambdaC.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtKKLambdaC.o: /usr/include/gnu/stubs.h
+EvtKKLambdaC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtKKLambdaC.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtKKLambdaC.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/iosfwd
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtKKLambdaC.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtKKLambdaC.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtKKLambdaC.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtKKLambdaC.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtKKLambdaC.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtKKLambdaC.o: /usr/include/gconv.h
+EvtKKLambdaC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtKKLambdaC.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtKKLambdaC.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtKKLambdaC.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtKKLambdaC.o: /usr/include/libintl.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtKKLambdaC.o: /usr/include/pthread.h /usr/include/sched.h
+EvtKKLambdaC.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtKKLambdaC.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtKKLambdaC.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtKKLambdaC.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtKKLambdaC.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtKKLambdaC.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtKKLambdaC.o: /usr/include/stdint.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/exception
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/climits
+EvtKKLambdaC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtKKLambdaC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtKKLambdaC.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/new
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/cassert
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/limits
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/algorithm
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/streambuf
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/locale
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/typeinfo
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/istream
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtKKLambdaC.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtKKLambdaC.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/vector
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtKKLambdaC.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtKKLambdaC.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtKKLambdaC.o: ../EvtGenModels/EvtKKLambdaC.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtKKLambdaC.o: ../EvtGenModels/EvtKKLambdaCFF.hh
+EvtKKLambdaC.o: ../EvtGenBase/EvtSemiLeptonicBaryonAmp.hh
+EvtKKLambdaCFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/iostream
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtKKLambdaCFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtKKLambdaCFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/cstring
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/cstddef
+EvtKKLambdaCFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtKKLambdaCFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtKKLambdaCFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtKKLambdaCFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtKKLambdaCFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtKKLambdaCFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtKKLambdaCFF.o: /usr/include/gconv.h
+EvtKKLambdaCFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtKKLambdaCFF.o: /usr/include/bits/stdio_lim.h
+EvtKKLambdaCFF.o: /usr/include/bits/sys_errlist.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtKKLambdaCFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtKKLambdaCFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtKKLambdaCFF.o: /usr/include/libintl.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtKKLambdaCFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtKKLambdaCFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtKKLambdaCFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtKKLambdaCFF.o: /usr/include/bits/pthreadtypes.h
+EvtKKLambdaCFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtKKLambdaCFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtKKLambdaCFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtKKLambdaCFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtKKLambdaCFF.o: /usr/include/bits/endian.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtKKLambdaCFF.o: /usr/include/stdint.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/exception
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/climits
+EvtKKLambdaCFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtKKLambdaCFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtKKLambdaCFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtKKLambdaCFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/limits
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/algorithm
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/streambuf
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/locale
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/typeinfo
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/istream
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtKKLambdaCFF.o: ../EvtGenModels/EvtKKLambdaCFF.hh
+EvtKKLambdaCFF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtKKLambdaCFF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtKKLambdaCFF.o: ../EvtGenBase/EvtSpinType.hh
+EvtKKLambdaCFF.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/vector
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtKKLambdaCFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtKKLambdaCFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtKKLambdaCFF.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtKKLambdaCFF.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtKstarnunu.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtKstarnunu.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtKstarnunu.o: /usr/include/gnu/stubs.h
+EvtKstarnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/iostream
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtKstarnunu.o: /usr/include/c++/3.4.6/iosfwd
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtKstarnunu.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtKstarnunu.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtKstarnunu.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtKstarnunu.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtKstarnunu.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtKstarnunu.o: /usr/include/gconv.h
+EvtKstarnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtKstarnunu.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtKstarnunu.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtKstarnunu.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtKstarnunu.o: /usr/include/libintl.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtKstarnunu.o: /usr/include/pthread.h /usr/include/sched.h
+EvtKstarnunu.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtKstarnunu.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtKstarnunu.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtKstarnunu.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtKstarnunu.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtKstarnunu.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtKstarnunu.o: /usr/include/stdint.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/exception
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/climits
+EvtKstarnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtKstarnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtKstarnunu.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtKstarnunu.o: /usr/include/c++/3.4.6/new
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/limits
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/algorithm
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtKstarnunu.o: /usr/include/c++/3.4.6/streambuf
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtKstarnunu.o: /usr/include/c++/3.4.6/locale
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtKstarnunu.o: /usr/include/c++/3.4.6/typeinfo
+EvtKstarnunu.o: /usr/include/c++/3.4.6/istream
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtKstarnunu.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtKstarnunu.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtKstarnunu.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtKstarnunu.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtKstarnunu.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtKstarnunu.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtKstarnunu.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtKstarnunu.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtKstarnunu.o: /usr/include/c++/3.4.6/vector
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtKstarnunu.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtKstarnunu.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtKstarnunu.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtKstarnunu.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtKstarnunu.o: ../EvtGenModels/EvtKstarnunu.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtKstarnunu.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtKstarnunu.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtKstarstargamma.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtKstarstargamma.o: /usr/include/gnu/stubs.h
+EvtKstarstargamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtKstarstargamma.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtKstarstargamma.o: ../EvtGenBase/EvtVector4R.hh
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/iostream
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/ostream
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/cstring
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtKstarstargamma.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtKstarstargamma.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtKstarstargamma.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtKstarstargamma.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtKstarstargamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtKstarstargamma.o: /usr/include/bits/stdio_lim.h
+EvtKstarstargamma.o: /usr/include/bits/sys_errlist.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtKstarstargamma.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtKstarstargamma.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtKstarstargamma.o: /usr/include/libintl.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtKstarstargamma.o: /usr/include/pthread.h /usr/include/sched.h
+EvtKstarstargamma.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtKstarstargamma.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtKstarstargamma.o: /usr/include/bits/pthreadtypes.h
+EvtKstarstargamma.o: /usr/include/bits/initspin.h
+EvtKstarstargamma.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtKstarstargamma.o: /usr/include/bits/posix_opt.h
+EvtKstarstargamma.o: /usr/include/bits/confname.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtKstarstargamma.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/cwchar
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/exception
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/climits
+EvtKstarstargamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtKstarstargamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtKstarstargamma.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/new
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/cassert
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/string
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/memory
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/limits
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/algorithm
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/streambuf
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/locale
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/typeinfo
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/istream
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtKstarstargamma.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtKstarstargamma.o: /usr/include/bits/mathdef.h
+EvtKstarstargamma.o: /usr/include/bits/mathcalls.h
+EvtKstarstargamma.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtReport.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtScalarParticle.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtVectorParticle.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtVector4C.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtVector3C.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtVector3R.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtPhotonParticle.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtTensorParticle.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtTensor4C.hh ../EvtGenBase/EvtGenKine.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/vector
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtKstarstargamma.o: ../EvtGenBase/EvtStringHash.hh
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/map
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtKstarstargamma.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtKstarstargamma.o: ../EvtGenModels/EvtKstarstargamma.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtDecayAmp.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtEvalHelAmp.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtPropBreitWignerRel.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtPropagator.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtAmplitude.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtPoint1D.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtTwoBodyVertex.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtTwoBodyKine.hh
+EvtKstarstargamma.o: ../EvtGenBase/EvtBlattWeisskopf.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtPatches.hh
+EvtLambdaP_BarGamma.o: ../EvtGenModels/EvtLambdaP_BarGamma.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtDecayAmp.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtId.hh
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/iostream
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtLambdaP_BarGamma.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtLambdaP_BarGamma.o: /usr/include/gnu/stubs.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/ostream
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/ios
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/iosfwd
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/cstring
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/cstddef
+EvtLambdaP_BarGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtLambdaP_BarGamma.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtLambdaP_BarGamma.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/wordsize.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtLambdaP_BarGamma.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtLambdaP_BarGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/stdio_lim.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/sys_errlist.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtLambdaP_BarGamma.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtLambdaP_BarGamma.o: /usr/include/libintl.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtLambdaP_BarGamma.o: /usr/include/pthread.h /usr/include/sched.h
+EvtLambdaP_BarGamma.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtLambdaP_BarGamma.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/pthreadtypes.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/initspin.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/posix_opt.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/confname.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtLambdaP_BarGamma.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/cwchar
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/exception
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/climits
+EvtLambdaP_BarGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtLambdaP_BarGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtLambdaP_BarGamma.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtLambdaP_BarGamma.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/string
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/memory
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/limits
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/algorithm
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/streambuf
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/locale
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/typeinfo
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/istream
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtSpinType.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtReport.hh
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/vector
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtComplex.hh
+EvtLambdaP_BarGamma.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/mathdef.h
+EvtLambdaP_BarGamma.o: /usr/include/bits/mathcalls.h
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtPDL.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtPartProp.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtStringHash.hh
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/map
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtLambdaP_BarGamma.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtParticle.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtVector4R.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtGammaMatrix.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtDiracSpinor.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtVector3R.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtDiracParticle.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtPhotonParticle.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtVector4C.hh
+EvtLambdaP_BarGamma.o: ../EvtGenBase/EvtVector3C.hh
+EvtLb2Lll.o: ../EvtGenModels/EvtLb2Lll.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtPatches.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtId.hh /usr/include/c++/3.4.6/iostream
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtLb2Lll.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtLb2Lll.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtLb2Lll.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtLb2Lll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtLb2Lll.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtLb2Lll.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtLb2Lll.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtLb2Lll.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtLb2Lll.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtLb2Lll.o: /usr/include/gconv.h
+EvtLb2Lll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtLb2Lll.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtLb2Lll.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtLb2Lll.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtLb2Lll.o: /usr/include/libintl.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtLb2Lll.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtLb2Lll.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtLb2Lll.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtLb2Lll.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtLb2Lll.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtLb2Lll.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtLb2Lll.o: /usr/include/ctype.h /usr/include/endian.h
+EvtLb2Lll.o: /usr/include/bits/endian.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtLb2Lll.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/exception
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/climits
+EvtLb2Lll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtLb2Lll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtLb2Lll.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtLb2Lll.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/limits
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/algorithm
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtLb2Lll.o: /usr/include/c++/3.4.6/streambuf
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtLb2Lll.o: /usr/include/c++/3.4.6/locale
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtLb2Lll.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtLb2Lll.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtLb2Lll.o: /usr/include/c++/3.4.6/vector
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/vector.tcc ../EvtGenBase/EvtAmp.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtComplex.hh /usr/include/math.h
+EvtLb2Lll.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtLb2Lll.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtConst.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtTensor4C.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtVector4R.hh ../EvtGenBase/EvtVector3R.hh
+EvtLb2Lll.o: ../EvtGenModels/EvtWilsonCoeficients.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtSpinDensity.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtDiracParticle.hh ../EvtGenBase/EvtPDL.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtLb2Lll.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtLb2Lll.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtLb2Lll.o: ../EvtGenBase/EvtGammaMatrix.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtLNuGamma.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtLNuGamma.o: /usr/include/gnu/stubs.h
+EvtLNuGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/iostream
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtLNuGamma.o: /usr/include/c++/3.4.6/iosfwd
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtLNuGamma.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtLNuGamma.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtLNuGamma.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtLNuGamma.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtLNuGamma.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtLNuGamma.o: /usr/include/gconv.h
+EvtLNuGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtLNuGamma.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtLNuGamma.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtLNuGamma.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtLNuGamma.o: /usr/include/libintl.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtLNuGamma.o: /usr/include/pthread.h /usr/include/sched.h
+EvtLNuGamma.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtLNuGamma.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtLNuGamma.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtLNuGamma.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtLNuGamma.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtLNuGamma.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtLNuGamma.o: /usr/include/stdint.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/exception
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/climits
+EvtLNuGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtLNuGamma.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtLNuGamma.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtLNuGamma.o: /usr/include/c++/3.4.6/new
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/limits
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/algorithm
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtLNuGamma.o: /usr/include/c++/3.4.6/streambuf
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtLNuGamma.o: /usr/include/c++/3.4.6/locale
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtLNuGamma.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtLNuGamma.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtLNuGamma.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtLNuGamma.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtLNuGamma.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtLNuGamma.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtLNuGamma.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtLNuGamma.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenModels/EvtLNuGamma.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtLNuGamma.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtTensor4C.hh
+EvtMelikhov.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtMelikhov.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtMelikhov.o: /usr/include/gnu/stubs.h
+EvtMelikhov.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtMelikhov.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtMelikhov.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtMelikhov.o: /usr/include/c++/3.4.6/iosfwd
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtMelikhov.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtMelikhov.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtMelikhov.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtMelikhov.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtMelikhov.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtMelikhov.o: /usr/include/gconv.h
+EvtMelikhov.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtMelikhov.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtMelikhov.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtMelikhov.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtMelikhov.o: /usr/include/libintl.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtMelikhov.o: /usr/include/pthread.h /usr/include/sched.h
+EvtMelikhov.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtMelikhov.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtMelikhov.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtMelikhov.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtMelikhov.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtMelikhov.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtMelikhov.o: /usr/include/stdint.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/exception
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/climits
+EvtMelikhov.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtMelikhov.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtMelikhov.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtMelikhov.o: /usr/include/c++/3.4.6/new
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/cassert
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/limits
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/algorithm
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtMelikhov.o: /usr/include/c++/3.4.6/streambuf
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtMelikhov.o: /usr/include/c++/3.4.6/locale
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtMelikhov.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtMelikhov.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtMelikhov.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtMelikhov.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtMelikhov.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtMelikhov.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtMelikhov.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtMelikhov.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtMelikhov.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtMelikhov.o: ../EvtGenModels/EvtMelikhov.hh /usr/include/c++/3.4.6/fstream
+EvtMelikhov.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtMelikhov.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtMelikhov.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtMelikhov.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtMelikhov.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtMelikhov.o: ../EvtGenModels/EvtMelikhovFF.hh
+EvtMelikhov.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtMelikhovFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/iostream
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtMelikhovFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtMelikhovFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/cstring
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/cstddef
+EvtMelikhovFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtMelikhovFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtMelikhovFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtMelikhovFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtMelikhovFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtMelikhovFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtMelikhovFF.o: /usr/include/gconv.h
+EvtMelikhovFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtMelikhovFF.o: /usr/include/bits/stdio_lim.h
+EvtMelikhovFF.o: /usr/include/bits/sys_errlist.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtMelikhovFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtMelikhovFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtMelikhovFF.o: /usr/include/libintl.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtMelikhovFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtMelikhovFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtMelikhovFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtMelikhovFF.o: /usr/include/bits/pthreadtypes.h
+EvtMelikhovFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtMelikhovFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtMelikhovFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtMelikhovFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtMelikhovFF.o: /usr/include/bits/endian.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtMelikhovFF.o: /usr/include/stdint.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/exception
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/climits
+EvtMelikhovFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtMelikhovFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtMelikhovFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtMelikhovFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/limits
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/algorithm
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/streambuf
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/locale
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/typeinfo
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/istream
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtMelikhovFF.o: ../EvtGenModels/EvtMelikhovFF.hh
+EvtMelikhovFF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtMelikhovFF.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtMelikhovFF.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtMelikhovFF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtMelikhovFF.o: ../EvtGenBase/EvtSpinType.hh
+EvtMelikhovFF.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/vector
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtMelikhovFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtMelikhovFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtModelReg.o: ../EvtGenBase/EvtPatches.hh /usr/include/c++/3.4.6/iostream
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtModelReg.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtModelReg.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtModelReg.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtModelReg.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtModelReg.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtModelReg.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtModelReg.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtModelReg.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtModelReg.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtModelReg.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtModelReg.o: /usr/include/gconv.h
+EvtModelReg.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtModelReg.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtModelReg.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtModelReg.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtModelReg.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtModelReg.o: /usr/include/libintl.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtModelReg.o: /usr/include/pthread.h /usr/include/sched.h
+EvtModelReg.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtModelReg.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtModelReg.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtModelReg.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtModelReg.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtModelReg.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtModelReg.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtModelReg.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtModelReg.o: /usr/include/stdint.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtModelReg.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtModelReg.o: /usr/include/c++/3.4.6/exception
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtModelReg.o: /usr/include/c++/3.4.6/climits
+EvtModelReg.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtModelReg.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtModelReg.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtModelReg.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtModelReg.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtModelReg.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtModelReg.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtModelReg.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtModelReg.o: /usr/include/c++/3.4.6/limits
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtModelReg.o: /usr/include/c++/3.4.6/algorithm
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtModelReg.o: /usr/include/c++/3.4.6/streambuf
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtModelReg.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtModelReg.o: /usr/include/c++/3.4.6/locale
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtModelReg.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtModelReg.o: /usr/include/c++/3.4.6/iomanip
+EvtModelReg.o: /usr/include/c++/3.4.6/functional
+EvtModelReg.o: /usr/include/c++/3.4.6/fstream
+EvtModelReg.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtModelReg.o: ../EvtGenBase/EvtModel.hh ../EvtGenBase/EvtDecayBase.hh
+EvtModelReg.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtModelReg.o: ../EvtGenBase/EvtReport.hh /usr/include/c++/3.4.6/vector
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtModelReg.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtModelReg.o: ../EvtGenModels/EvtTauVectornu.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtModelReg.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtComplex.hh
+EvtModelReg.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtModelReg.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtModelReg.o: ../EvtGenBase/EvtConst.hh ../EvtGenModels/EvtVVP.hh
+EvtModelReg.o: ../EvtGenModels/EvtSLN.hh ../EvtGenModels/EvtISGW2.hh
+EvtModelReg.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtModelReg.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtModelReg.o: ../EvtGenModels/EvtMelikhov.hh ../EvtGenModels/EvtSLPole.hh
+EvtModelReg.o: ../EvtGenModels/EvtPropSLPole.hh ../EvtGenBase/EvtPoint1D.hh
+EvtModelReg.o: ../EvtGenModels/EvtSLBKPole.hh ../EvtGenModels/EvtISGW.hh
+EvtModelReg.o: ../EvtGenModels/EvtBHadronic.hh ../EvtGenModels/EvtVSS.hh
+EvtModelReg.o: ../EvtGenModels/EvtVSSMix.hh ../EvtGenModels/EvtVSSBMixCPT.hh
+EvtModelReg.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtModelReg.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenModels/EvtVSPPwave.hh
+EvtModelReg.o: ../EvtGenModels/EvtGoityRoberts.hh ../EvtGenModels/EvtSVS.hh
+EvtModelReg.o: ../EvtGenModels/EvtTSS.hh ../EvtGenModels/EvtTVSPwave.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVVHelAmp.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVPHelAmp.hh ../EvtGenModels/EvtSVPCP.hh
+EvtModelReg.o: ../EvtGenModels/EvtVVSPwave.hh ../EvtGenModels/EvtDDalitz.hh
+EvtModelReg.o: ../EvtGenBase/EvtFlatte.hh ../EvtGenModels/EvtOmegaDalitz.hh
+EvtModelReg.o: ../EvtGenModels/EvtPi0Dalitz.hh ../EvtGenBase/EvtDecayProb.hh
+EvtModelReg.o: ../EvtGenModels/EvtEtaDalitz.hh ../EvtGenModels/EvtPhsp.hh
+EvtModelReg.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtModelReg.o: ../EvtGenModels/EvtBtoXsgamma.hh ../EvtGenModels/EvtBtoXsll.hh
+EvtModelReg.o: ../EvtGenModels/EvtBtoXsEtap.hh ../EvtGenModels/EvtSSSCP.hh
+EvtModelReg.o: ../EvtGenModels/EvtSSSCPpng.hh ../EvtGenModels/EvtSTSCP.hh
+EvtModelReg.o: ../EvtGenModels/EvtSTS.hh ../EvtGenModels/EvtSSSCPT.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVSCP.hh ../EvtGenModels/EvtSSDCP.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVSNONCPEIGEN.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVVNONCPEIGEN.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVVCP.hh ../EvtGenModels/EvtSVVCPLH.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVSCPLH.hh ../EvtGenModels/EvtSll.hh
+EvtModelReg.o: ../EvtGenModels/EvtVll.hh ../EvtGenModels/EvtTaulnunu.hh
+EvtModelReg.o: ../EvtGenModels/EvtTauHadnu.hh
+EvtModelReg.o: ../EvtGenModels/EvtTauScalarnu.hh
+EvtModelReg.o: ../EvtGenModels/EvtKstarnunu.hh
+EvtModelReg.o: ../EvtGenModels/EvtbTosllBall.hh
+EvtModelReg.o: ../EvtGenModels/EvtSingleParticle.hh
+EvtModelReg.o: ../EvtGenModels/EvtVectorIsr.hh
+EvtModelReg.o: ../EvtGenModels/EvtBToPlnuBK.hh
+EvtModelReg.o: ../EvtGenModels/EvtBToVlnuBall.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVVHelCPMix.hh ../EvtGenModels/EvtLb2Lll.hh
+EvtModelReg.o: ../EvtGenBase/EvtTensor4C.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtModelReg.o: ../EvtGenBase/EvtVector3R.hh
+EvtModelReg.o: ../EvtGenModels/EvtWilsonCoeficients.hh
+EvtModelReg.o: ../EvtGenModels/EvtHypNonLepton.hh
+EvtModelReg.o: ../EvtGenModels/EvtbTosllAli.hh ../EvtGenModels/EvtHQET.hh
+EvtModelReg.o: ../EvtGenModels/EvtHQET2.hh ../EvtGenBase/EvtPDL.hh
+EvtModelReg.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtModelReg.o: ../EvtGenModels/EvtHelAmp.hh ../EvtGenModels/EvtPartWave.hh
+EvtModelReg.o: ../EvtGenModels/EvtBto2piCPiso.hh
+EvtModelReg.o: ../EvtGenModels/EvtBtoKpiCPiso.hh
+EvtModelReg.o: ../EvtGenModels/EvtSVSCPiso.hh ../EvtGenModels/EvtVVpipi.hh
+EvtModelReg.o: ../EvtGenModels/EvtY3SToY1SpipiMoxhay.hh
+EvtModelReg.o: ../EvtGenModels/EvtYmSToYnSpipiCLEO.hh
+EvtModelReg.o: ../EvtGenModels/EvtVVPIPI_WEIGHTED.hh
+EvtModelReg.o: ../EvtGenModels/EvtVPHOtoVISRHi.hh
+EvtModelReg.o: ../EvtGenModels/EvtBTo4piCP.hh ../EvtGenModels/EvtBTo3piCP.hh
+EvtModelReg.o: ../EvtGenModels/EvtCBTo3piP00.hh
+EvtModelReg.o: ../EvtGenModels/EvtCBTo3piMPP.hh
+EvtModelReg.o: ../EvtGenModels/EvtBToKpipiCP.hh ../EvtGenModels/EvtBsquark.hh
+EvtModelReg.o: ../EvtGenModels/EvtPhiDalitz.hh ../EvtGenModels/EvtLNuGamma.hh
+EvtModelReg.o: ../EvtGenModels/EvtVub.hh ../EvtGenModels/EvtVubHybrid.hh
+EvtModelReg.o: ../EvtGenModels/EvtVubNLO.hh ../EvtGenModels/EvtVubBLNP.hh
+EvtModelReg.o: ../EvtGenModels/EvtVubBLNPHybrid.hh
+EvtModelReg.o: ../EvtGenModels/EvtPto3P.hh
+EvtModelReg.o: ../EvtGenModels/EvtIntervalDecayAmp.hh
+EvtModelReg.o: ../EvtGenBase/EvtMacros.hh ../EvtGenBase/EvtPdf.hh
+EvtModelReg.o: ../EvtGenBase/EvtValError.hh ../EvtGenBase/EvtPredGen.hh
+EvtModelReg.o: ../EvtGenBase/EvtStreamInputIterator.hh
+EvtModelReg.o: ../EvtGenBase/EvtStreamAdapter.hh
+EvtModelReg.o: /usr/include/c++/3.4.6/iterator
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stream_iterator.h
+EvtModelReg.o: ../EvtGenBase/EvtPdfMax.hh ../EvtGenBase/EvtRandom.hh
+EvtModelReg.o: ../EvtGenBase/EvtAmpFactory.hh
+EvtModelReg.o: ../EvtGenBase/EvtAmplitudeSum.hh ../EvtGenBase/EvtAmplitude.hh
+EvtModelReg.o: ../EvtGenBase/EvtPdfSum.hh
+EvtModelReg.o: ../EvtGenBase/EvtMultiChannelParser.hh
+EvtModelReg.o: ../EvtGenBase/EvtAmpPdf.hh ../EvtGenBase/EvtCPUtil.hh
+EvtModelReg.o: ../EvtGenBase/EvtCyclic3.hh ../EvtGenBase/EvtDalitzPoint.hh
+EvtModelReg.o: ../EvtGenBase/EvtDalitzCoord.hh ../EvtGenBase/EvtDalitzPlot.hh
+EvtModelReg.o: ../EvtGenBase/EvtTwoBodyVertex.hh
+EvtModelReg.o: ../EvtGenBase/EvtTwoBodyKine.hh
+EvtModelReg.o: ../EvtGenBase/EvtBlattWeisskopf.hh
+EvtModelReg.o: ../EvtGenBase/EvtDecayMode.hh ../EvtGenModels/EvtBtoKD3P.hh
+EvtModelReg.o: ../EvtGenModels/EvtKstarstargamma.hh
+EvtModelReg.o: ../EvtGenModels/EvtFlatQ2.hh
+EvtModelReg.o: ../EvtGenModels/EvtLambdaP_BarGamma.hh
+EvtModelReg.o: ../EvtGenModels/EvtBBScalar.hh
+EvtModelReg.o: ../EvtGenBase/EvtScalarParticle.hh
+EvtModelReg.o: ../EvtGenBase/EvtDiracParticle.hh ../EvtGenBase/EvtVector4C.hh
+EvtModelReg.o: ../EvtGenBase/EvtVector3C.hh /usr/include/c++/3.4.6/bitset
+EvtModelReg.o: ../EvtGenModels/EvtKKLambdaC.hh
+EvtModelReg.o: ../EvtGenModels/EvtMultibody.hh ../EvtGenBase/EvtMTree.hh
+EvtModelReg.o: ../EvtGenBase/EvtSpinAmp.hh /usr/include/c++/3.4.6/cstdarg
+EvtModelReg.o: ../EvtGenBase/EvtMNode.hh ../EvtGenBase/EvtSymTable.hh
+EvtModelReg.o: ../EvtGenBase/EvtMParticle.hh ../EvtGenBase/EvtMRes.hh
+EvtModelReg.o: ../EvtGenModels/EvtJetSetCDF.hh
+EvtModelReg.o: ../EvtGenModels/EvtJscontCDF.hh ../EvtGenModels/EvtPythia.hh
+EvtModelReg.o: ../EvtGenModels/EvtPyGaGa.hh ../EvtGenModels/EvtPycont.hh
+EvtModelReg.o: ../EvtGenModels/EvtDMix.hh ../EvtGenModels/EvtD0mixDalitz.hh
+EvtModelReg.o: ../EvtGenBase/EvtDalitzReso.hh ../EvtGenModels/EvtModelReg.hh
+EvtModelReg.o: /usr/include/c++/3.4.6/list
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/stl_list.h
+EvtModelReg.o: /usr/include/c++/3.4.6/bits/list.tcc
+EvtMultibody.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtGenKine.hh
+EvtMultibody.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtMultibody.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtMultibody.o: /usr/include/c++/3.4.6/iostream
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtMultibody.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtMultibody.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtMultibody.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtMultibody.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtMultibody.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtMultibody.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtMultibody.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtMultibody.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtMultibody.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtMultibody.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtMultibody.o: /usr/include/gconv.h
+EvtMultibody.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtMultibody.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtMultibody.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtMultibody.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtMultibody.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtMultibody.o: /usr/include/libintl.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtMultibody.o: /usr/include/pthread.h /usr/include/sched.h
+EvtMultibody.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtMultibody.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtMultibody.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtMultibody.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtMultibody.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtMultibody.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtMultibody.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtMultibody.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtMultibody.o: /usr/include/stdint.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtMultibody.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtMultibody.o: /usr/include/c++/3.4.6/exception
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtMultibody.o: /usr/include/c++/3.4.6/climits
+EvtMultibody.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtMultibody.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtMultibody.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtMultibody.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtMultibody.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtMultibody.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtMultibody.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtMultibody.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtMultibody.o: /usr/include/c++/3.4.6/limits
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtMultibody.o: /usr/include/c++/3.4.6/algorithm
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtMultibody.o: /usr/include/c++/3.4.6/streambuf
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtMultibody.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtMultibody.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtMultibody.o: /usr/include/c++/3.4.6/locale
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtMultibody.o: /usr/include/c++/3.4.6/typeinfo
+EvtMultibody.o: /usr/include/c++/3.4.6/istream
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtMultibody.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtMultibody.o: /usr/include/c++/3.4.6/vector
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtMultibody.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtMultibody.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtMultibody.o: ../EvtGenBase/EvtResonance.hh ../EvtGenBase/EvtVector4R.hh
+EvtMultibody.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtMultibody.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtMultibody.o: ../EvtGenBase/EvtResonance2.hh
+EvtMultibody.o: ../EvtGenModels/EvtMultibody.hh ../EvtGenBase/EvtMTree.hh
+EvtMultibody.o: ../EvtGenBase/EvtSpinAmp.hh ../EvtGenBase/EvtComplex.hh
+EvtMultibody.o: ../EvtGenBase/EvtConst.hh /usr/include/c++/3.4.6/cstdarg
+EvtMultibody.o: ../EvtGenBase/EvtMNode.hh ../EvtGenBase/EvtSymTable.hh
+EvtMultibody.o: ../EvtGenBase/EvtMParticle.hh ../EvtGenBase/EvtMRes.hh
+EvtMultibody.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtMultibody.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtdFunction.hh
+EvtMultibody.o: ../EvtGenBase/EvtKine.hh ../EvtGenBase/EvtParticle.hh
+EvtMultibody.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtOmegaDalitz.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtOmegaDalitz.o: /usr/include/gnu/stubs.h
+EvtOmegaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtOmegaDalitz.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtOmegaDalitz.o: ../EvtGenBase/EvtVector4R.hh
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/iostream
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/iosfwd
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/cstring
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtOmegaDalitz.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtOmegaDalitz.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtOmegaDalitz.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtOmegaDalitz.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtOmegaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtOmegaDalitz.o: /usr/include/bits/stdio_lim.h
+EvtOmegaDalitz.o: /usr/include/bits/sys_errlist.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtOmegaDalitz.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtOmegaDalitz.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtOmegaDalitz.o: /usr/include/libintl.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtOmegaDalitz.o: /usr/include/pthread.h /usr/include/sched.h
+EvtOmegaDalitz.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtOmegaDalitz.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtOmegaDalitz.o: /usr/include/bits/pthreadtypes.h
+EvtOmegaDalitz.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtOmegaDalitz.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtOmegaDalitz.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtOmegaDalitz.o: /usr/include/ctype.h /usr/include/endian.h
+EvtOmegaDalitz.o: /usr/include/bits/endian.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtOmegaDalitz.o: /usr/include/stdint.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/exception
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/climits
+EvtOmegaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtOmegaDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtOmegaDalitz.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/new
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/cassert
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/limits
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/algorithm
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/streambuf
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/locale
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/typeinfo
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/istream
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtOmegaDalitz.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtOmegaDalitz.o: /usr/include/bits/mathcalls.h
+EvtOmegaDalitz.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtTensor4C.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtPDL.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtPartProp.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/vector
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtOmegaDalitz.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtOmegaDalitz.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtOmegaDalitz.o: ../EvtGenModels/EvtOmegaDalitz.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtOmegaDalitz.o: ../EvtGenBase/EvtAmp.hh
+EvtPartWave.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtPartWave.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPartWave.o: /usr/include/gnu/stubs.h
+EvtPartWave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPartWave.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtPartWave.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPartWave.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtPartWave.o: /usr/include/c++/3.4.6/iosfwd
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPartWave.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPartWave.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPartWave.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPartWave.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPartWave.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPartWave.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPartWave.o: /usr/include/gconv.h
+EvtPartWave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPartWave.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPartWave.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPartWave.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPartWave.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPartWave.o: /usr/include/libintl.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPartWave.o: /usr/include/pthread.h /usr/include/sched.h
+EvtPartWave.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtPartWave.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtPartWave.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtPartWave.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtPartWave.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtPartWave.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtPartWave.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPartWave.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPartWave.o: /usr/include/stdint.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPartWave.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPartWave.o: /usr/include/c++/3.4.6/exception
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPartWave.o: /usr/include/c++/3.4.6/climits
+EvtPartWave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPartWave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPartWave.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPartWave.o: /usr/include/c++/3.4.6/new
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPartWave.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPartWave.o: /usr/include/c++/3.4.6/cassert
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPartWave.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPartWave.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPartWave.o: /usr/include/c++/3.4.6/limits
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPartWave.o: /usr/include/c++/3.4.6/algorithm
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPartWave.o: /usr/include/c++/3.4.6/streambuf
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPartWave.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPartWave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPartWave.o: /usr/include/c++/3.4.6/locale
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPartWave.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtPartWave.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtPartWave.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtPartWave.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtPartWave.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtPartWave.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtPartWave.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtPartWave.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPartWave.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPartWave.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPartWave.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtPartWave.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtPartWave.o: ../EvtGenModels/EvtPartWave.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtPartWave.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtPartWave.o: ../EvtGenBase/EvtEvalHelAmp.hh ../EvtGenBase/EvtKine.hh
+EvtPartWave.o: ../EvtGenBase/EvtCGCoefSingle.hh
+EvtPFermi.o: ../EvtGenBase/EvtPatches.hh ../EvtGenModels/EvtPFermi.hh
+EvtPFermi.o: ../EvtGenBase/EvtReport.hh /usr/include/c++/3.4.6/iostream
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPFermi.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPFermi.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtPFermi.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPFermi.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPFermi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPFermi.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPFermi.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPFermi.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPFermi.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPFermi.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPFermi.o: /usr/include/gconv.h
+EvtPFermi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPFermi.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPFermi.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPFermi.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPFermi.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPFermi.o: /usr/include/libintl.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPFermi.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtPFermi.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtPFermi.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtPFermi.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPFermi.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPFermi.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPFermi.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPFermi.o: /usr/include/bits/endian.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPFermi.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPFermi.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPFermi.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPFermi.o: /usr/include/c++/3.4.6/exception
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPFermi.o: /usr/include/c++/3.4.6/climits
+EvtPFermi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPFermi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPFermi.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPFermi.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPFermi.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPFermi.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPFermi.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPFermi.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPFermi.o: /usr/include/c++/3.4.6/limits
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPFermi.o: /usr/include/c++/3.4.6/algorithm
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPFermi.o: /usr/include/c++/3.4.6/streambuf
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPFermi.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPFermi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPFermi.o: /usr/include/c++/3.4.6/locale
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPFermi.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPFermi.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtPFermi.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtPFermi.o: /usr/include/bits/mathcalls.h
+EvtPhiDalitz.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtPhiDalitz.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPhiDalitz.o: /usr/include/gnu/stubs.h
+EvtPhiDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPhiDalitz.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtPhiDalitz.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtPhiDalitz.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/iosfwd
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPhiDalitz.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPhiDalitz.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPhiDalitz.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPhiDalitz.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPhiDalitz.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPhiDalitz.o: /usr/include/gconv.h
+EvtPhiDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPhiDalitz.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPhiDalitz.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPhiDalitz.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPhiDalitz.o: /usr/include/libintl.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPhiDalitz.o: /usr/include/pthread.h /usr/include/sched.h
+EvtPhiDalitz.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtPhiDalitz.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtPhiDalitz.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtPhiDalitz.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtPhiDalitz.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtPhiDalitz.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPhiDalitz.o: /usr/include/stdint.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/exception
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/climits
+EvtPhiDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPhiDalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPhiDalitz.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/new
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/limits
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/algorithm
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/streambuf
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/locale
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/typeinfo
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/istream
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtPhiDalitz.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtSpinDensity.hh
+EvtPhiDalitz.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtPhiDalitz.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtPhiDalitz.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtPhiDalitz.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtPhiDalitz.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/vector
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPhiDalitz.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPhiDalitz.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPhiDalitz.o: ../EvtGenModels/EvtPhiDalitz.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtPhiDalitz.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtPHOTOS.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtIdSet.hh
+EvtPHOTOS.o: ../EvtGenBase/EvtId.hh /usr/include/c++/3.4.6/iostream
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPHOTOS.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPHOTOS.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtPHOTOS.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPHOTOS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPHOTOS.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPHOTOS.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPHOTOS.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPHOTOS.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPHOTOS.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPHOTOS.o: /usr/include/gconv.h
+EvtPHOTOS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPHOTOS.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPHOTOS.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPHOTOS.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPHOTOS.o: /usr/include/libintl.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPHOTOS.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtPHOTOS.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtPHOTOS.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtPHOTOS.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPHOTOS.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPHOTOS.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPHOTOS.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPHOTOS.o: /usr/include/bits/endian.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPHOTOS.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/exception
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/climits
+EvtPHOTOS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPHOTOS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPHOTOS.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPHOTOS.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/limits
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/algorithm
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPHOTOS.o: /usr/include/c++/3.4.6/streambuf
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPHOTOS.o: /usr/include/c++/3.4.6/locale
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPHOTOS.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtPHOTOS.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtPHOTOS.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtPHOTOS.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtPHOTOS.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtPHOTOS.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtSpinType.hh
+EvtPHOTOS.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtPhotonParticle.hh
+EvtPHOTOS.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtPHOTOS.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtPDL.hh
+EvtPHOTOS.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtPHOTOS.o: /usr/include/c++/3.4.6/vector
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPHOTOS.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPHOTOS.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPHOTOS.o: ../EvtGenModels/EvtPHOTOS.hh ../EvtGenBase/EvtAbsRadCorr.hh
+EvtPhsp.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtPhsp.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPhsp.o: /usr/include/gnu/stubs.h
+EvtPhsp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPhsp.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtPhsp.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPhsp.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtPhsp.o: /usr/include/c++/3.4.6/iosfwd
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPhsp.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPhsp.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPhsp.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPhsp.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPhsp.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtPhsp.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtPhsp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPhsp.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPhsp.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPhsp.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPhsp.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPhsp.o: /usr/include/libintl.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPhsp.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtPhsp.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtPhsp.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtPhsp.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPhsp.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPhsp.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPhsp.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPhsp.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPhsp.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPhsp.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPhsp.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPhsp.o: /usr/include/c++/3.4.6/exception
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPhsp.o: /usr/include/c++/3.4.6/climits
+EvtPhsp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPhsp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPhsp.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPhsp.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPhsp.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPhsp.o: /usr/include/c++/3.4.6/cassert
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPhsp.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPhsp.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPhsp.o: /usr/include/c++/3.4.6/limits
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPhsp.o: /usr/include/c++/3.4.6/algorithm
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPhsp.o: /usr/include/c++/3.4.6/streambuf
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPhsp.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPhsp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPhsp.o: /usr/include/c++/3.4.6/locale
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPhsp.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtPhsp.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtPhsp.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtPhsp.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtPhsp.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtPhsp.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtPhsp.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtPhsp.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPhsp.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPhsp.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPhsp.o: ../EvtGenModels/EvtPhsp.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtPhsp.o: ../EvtGenBase/EvtDecayBase.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtPi0Dalitz.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPi0Dalitz.o: /usr/include/gnu/stubs.h
+EvtPi0Dalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/fstream /usr/include/c++/3.4.6/istream
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPi0Dalitz.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPi0Dalitz.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPi0Dalitz.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPi0Dalitz.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPi0Dalitz.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPi0Dalitz.o: /usr/include/gconv.h
+EvtPi0Dalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPi0Dalitz.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPi0Dalitz.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPi0Dalitz.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPi0Dalitz.o: /usr/include/libintl.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPi0Dalitz.o: /usr/include/pthread.h /usr/include/sched.h
+EvtPi0Dalitz.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtPi0Dalitz.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtPi0Dalitz.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtPi0Dalitz.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtPi0Dalitz.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtPi0Dalitz.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPi0Dalitz.o: /usr/include/stdint.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/exception
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/climits
+EvtPi0Dalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPi0Dalitz.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPi0Dalitz.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/new
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/limits
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/algorithm
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/streambuf
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/locale
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/typeinfo
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/ostream
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtPi0Dalitz.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtParticle.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPi0Dalitz.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtPi0Dalitz.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtPi0Dalitz.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/vector
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPi0Dalitz.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPi0Dalitz.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPi0Dalitz.o: ../EvtGenModels/EvtPi0Dalitz.hh ../EvtGenBase/EvtDecayProb.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtVector4C.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtVector3R.hh
+EvtPi0Dalitz.o: ../EvtGenBase/EvtDiracSpinor.hh ../EvtGenBase/EvtTensor4C.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtPropSLPole.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPropSLPole.o: /usr/include/gnu/stubs.h
+EvtPropSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPropSLPole.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtPropSLPole.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtPropSLPole.o: /usr/include/c++/3.4.6/iosfwd
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/cstring
+EvtPropSLPole.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtPropSLPole.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtPropSLPole.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtPropSLPole.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtPropSLPole.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtPropSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPropSLPole.o: /usr/include/bits/stdio_lim.h
+EvtPropSLPole.o: /usr/include/bits/sys_errlist.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPropSLPole.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPropSLPole.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPropSLPole.o: /usr/include/libintl.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPropSLPole.o: /usr/include/pthread.h /usr/include/sched.h
+EvtPropSLPole.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtPropSLPole.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtPropSLPole.o: /usr/include/bits/pthreadtypes.h
+EvtPropSLPole.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPropSLPole.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPropSLPole.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPropSLPole.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPropSLPole.o: /usr/include/bits/endian.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPropSLPole.o: /usr/include/stdint.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/exception
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/climits
+EvtPropSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPropSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPropSLPole.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPropSLPole.o: /usr/include/c++/3.4.6/new
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/cassert
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/limits
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/algorithm
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPropSLPole.o: /usr/include/c++/3.4.6/streambuf
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPropSLPole.o: /usr/include/c++/3.4.6/locale
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPropSLPole.o: /usr/include/c++/3.4.6/typeinfo
+EvtPropSLPole.o: /usr/include/c++/3.4.6/istream
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtPropSLPole.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtPropSLPole.o: /usr/include/bits/mathcalls.h
+EvtPropSLPole.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtPartProp.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtPropSLPole.o: /usr/include/c++/3.4.6/vector
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPropSLPole.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPropSLPole.o: ../EvtGenModels/EvtPropSLPole.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtPoint1D.hh ../EvtGenModels/EvtSLPoleFF.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtSemiLeptonicTensorAmp.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtIntervalFlatPdf.hh ../EvtGenBase/EvtPdf.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtValError.hh ../EvtGenBase/EvtPredGen.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtStreamInputIterator.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtStreamAdapter.hh
+EvtPropSLPole.o: /usr/include/c++/3.4.6/iterator
+EvtPropSLPole.o: /usr/include/c++/3.4.6/bits/stream_iterator.h
+EvtPropSLPole.o: ../EvtGenBase/EvtPdfMax.hh ../EvtGenBase/EvtMacros.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtRandom.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtScalarParticle.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtVectorParticle.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtVector3R.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtTensorParticle.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtTensor4C.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtTwoBodyVertex.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtTwoBodyKine.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtBlattWeisskopf.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtPropBreitWignerRel.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtPropagator.hh ../EvtGenBase/EvtAmplitude.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtAmpPdf.hh ../EvtGenBase/EvtMassAmp.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtDecayTable.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtPropSLPole.o: ../EvtGenBase/EvtParticleDecay.hh
+EvtPto3P.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtPDL.hh
+EvtPto3P.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtSpinType.hh
+EvtPto3P.o: ../EvtGenBase/EvtReport.hh /usr/include/c++/3.4.6/iostream
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPto3P.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPto3P.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtPto3P.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPto3P.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPto3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPto3P.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPto3P.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPto3P.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPto3P.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPto3P.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPto3P.o: /usr/include/gconv.h
+EvtPto3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPto3P.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPto3P.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPto3P.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPto3P.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPto3P.o: /usr/include/libintl.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPto3P.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtPto3P.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtPto3P.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtPto3P.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPto3P.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPto3P.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPto3P.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPto3P.o: /usr/include/bits/endian.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPto3P.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPto3P.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPto3P.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPto3P.o: /usr/include/c++/3.4.6/exception
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPto3P.o: /usr/include/c++/3.4.6/climits
+EvtPto3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPto3P.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPto3P.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPto3P.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPto3P.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPto3P.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPto3P.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPto3P.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPto3P.o: /usr/include/c++/3.4.6/limits
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPto3P.o: /usr/include/c++/3.4.6/algorithm
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPto3P.o: /usr/include/c++/3.4.6/streambuf
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPto3P.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPto3P.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPto3P.o: /usr/include/c++/3.4.6/locale
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPto3P.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/istream.tcc ../EvtGenBase/EvtId.hh
+EvtPto3P.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPto3P.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPto3P.o: ../EvtGenModels/EvtPto3P.hh ../EvtGenBase/EvtVector4R.hh
+EvtPto3P.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtPto3P.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtPto3P.o: ../EvtGenModels/EvtIntervalDecayAmp.hh
+EvtPto3P.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtPto3P.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtComplex.hh
+EvtPto3P.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtParticle.hh
+EvtPto3P.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtMacros.hh
+EvtPto3P.o: ../EvtGenBase/EvtPdf.hh ../EvtGenBase/EvtValError.hh
+EvtPto3P.o: ../EvtGenBase/EvtPredGen.hh
+EvtPto3P.o: ../EvtGenBase/EvtStreamInputIterator.hh
+EvtPto3P.o: ../EvtGenBase/EvtStreamAdapter.hh /usr/include/c++/3.4.6/iterator
+EvtPto3P.o: /usr/include/c++/3.4.6/bits/stream_iterator.h
+EvtPto3P.o: ../EvtGenBase/EvtPdfMax.hh ../EvtGenBase/EvtRandom.hh
+EvtPto3P.o: ../EvtGenBase/EvtAmpFactory.hh ../EvtGenBase/EvtAmplitudeSum.hh
+EvtPto3P.o: ../EvtGenBase/EvtAmplitude.hh ../EvtGenBase/EvtPdfSum.hh
+EvtPto3P.o: ../EvtGenBase/EvtMultiChannelParser.hh ../EvtGenBase/EvtAmpPdf.hh
+EvtPto3P.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtCyclic3.hh
+EvtPto3P.o: ../EvtGenBase/EvtDalitzPoint.hh ../EvtGenBase/EvtDalitzCoord.hh
+EvtPto3P.o: ../EvtGenBase/EvtDalitzPlot.hh ../EvtGenBase/EvtTwoBodyVertex.hh
+EvtPto3P.o: ../EvtGenBase/EvtTwoBodyKine.hh
+EvtPto3P.o: ../EvtGenBase/EvtBlattWeisskopf.hh ../EvtGenBase/EvtDecayMode.hh
+EvtPto3P.o: ../EvtGenBase/EvtPto3PAmpFactory.hh
+EvtPycont.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtPycont.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPycont.o: /usr/include/gnu/stubs.h
+EvtPycont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPycont.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtPycont.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPycont.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtPycont.o: /usr/include/c++/3.4.6/iosfwd
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPycont.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPycont.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPycont.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPycont.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPycont.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPycont.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPycont.o: /usr/include/gconv.h
+EvtPycont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPycont.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPycont.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPycont.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPycont.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPycont.o: /usr/include/libintl.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPycont.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtPycont.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtPycont.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtPycont.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPycont.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPycont.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPycont.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPycont.o: /usr/include/bits/endian.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPycont.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPycont.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPycont.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPycont.o: /usr/include/c++/3.4.6/exception
+EvtPycont.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPycont.o: /usr/include/c++/3.4.6/climits
+EvtPycont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPycont.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPycont.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPycont.o: /usr/include/c++/3.4.6/new
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPycont.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPycont.o: /usr/include/c++/3.4.6/cassert
+EvtPycont.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPycont.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPycont.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPycont.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPycont.o: /usr/include/c++/3.4.6/limits
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPycont.o: /usr/include/c++/3.4.6/algorithm
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPycont.o: /usr/include/c++/3.4.6/streambuf
+EvtPycont.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPycont.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPycont.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPycont.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPycont.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPycont.o: /usr/include/c++/3.4.6/locale
+EvtPycont.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPycont.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPycont.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtPycont.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtPycont.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtPycont.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtPycont.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtPycont.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtDecayTable.hh
+EvtPycont.o: ../EvtGenBase/EvtDecayBase.hh /usr/include/c++/3.4.6/vector
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPycont.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtPycont.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtPycont.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtPycont.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPycont.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPycont.o: ../EvtGenModels/EvtPycont.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtPycont.o: ../EvtGenModels/EvtPythia.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtPyGaGa.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtPyGaGa.o: /usr/include/gnu/stubs.h
+EvtPyGaGa.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPyGaGa.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtPyGaGa.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtPyGaGa.o: /usr/include/c++/3.4.6/iosfwd
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPyGaGa.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPyGaGa.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPyGaGa.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPyGaGa.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPyGaGa.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPyGaGa.o: /usr/include/gconv.h
+EvtPyGaGa.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPyGaGa.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPyGaGa.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPyGaGa.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPyGaGa.o: /usr/include/libintl.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPyGaGa.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtPyGaGa.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtPyGaGa.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtPyGaGa.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPyGaGa.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPyGaGa.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPyGaGa.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPyGaGa.o: /usr/include/bits/endian.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPyGaGa.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/exception
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/climits
+EvtPyGaGa.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPyGaGa.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPyGaGa.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPyGaGa.o: /usr/include/c++/3.4.6/new
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/cassert
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/limits
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/algorithm
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPyGaGa.o: /usr/include/c++/3.4.6/streambuf
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPyGaGa.o: /usr/include/c++/3.4.6/locale
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPyGaGa.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtPyGaGa.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtPyGaGa.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtDecayTable.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtDecayBase.hh /usr/include/c++/3.4.6/vector
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPyGaGa.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtPyGaGa.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPyGaGa.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPyGaGa.o: ../EvtGenModels/EvtPyGaGa.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtPyGaGa.o: ../EvtGenModels/EvtPythia.hh
+EvtPythia.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtParticle.hh
+EvtPythia.o: /usr/include/assert.h /usr/include/features.h
+EvtPythia.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtPythia.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtPythia.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtPythia.o: /usr/include/c++/3.4.6/iosfwd
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtPythia.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtPythia.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtPythia.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtPythia.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtPythia.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtPythia.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtPythia.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtPythia.o: /usr/include/gconv.h
+EvtPythia.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtPythia.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtPythia.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtPythia.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtPythia.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtPythia.o: /usr/include/libintl.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtPythia.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtPythia.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtPythia.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtPythia.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtPythia.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtPythia.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtPythia.o: /usr/include/ctype.h /usr/include/endian.h
+EvtPythia.o: /usr/include/bits/endian.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtPythia.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtPythia.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtPythia.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtPythia.o: /usr/include/c++/3.4.6/exception
+EvtPythia.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtPythia.o: /usr/include/c++/3.4.6/climits
+EvtPythia.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtPythia.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtPythia.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtPythia.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtPythia.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtPythia.o: /usr/include/c++/3.4.6/cassert
+EvtPythia.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtPythia.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtPythia.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtPythia.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtPythia.o: /usr/include/c++/3.4.6/limits
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtPythia.o: /usr/include/c++/3.4.6/algorithm
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtPythia.o: /usr/include/c++/3.4.6/streambuf
+EvtPythia.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtPythia.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtPythia.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtPythia.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtPythia.o: /usr/include/c++/3.4.6/locale
+EvtPythia.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtPythia.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtPythia.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtPythia.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtPythia.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtPythia.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtPythia.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtPythia.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtStringParticle.hh
+EvtPythia.o: ../EvtGenBase/EvtDecayTable.hh ../EvtGenBase/EvtDecayBase.hh
+EvtPythia.o: /usr/include/c++/3.4.6/vector
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtPythia.o: ../EvtGenBase/EvtParticleDecayList.hh
+EvtPythia.o: ../EvtGenBase/EvtParticleDecay.hh ../EvtGenBase/EvtPDL.hh
+EvtPythia.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtPythia.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtPythia.o: ../EvtGenModels/EvtPythia.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtPythia.o: /usr/include/c++/3.4.6/iomanip /usr/include/c++/3.4.6/functional
+EvtPythia.o: /usr/include/c++/3.4.6/fstream
+EvtPythia.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtPythia.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtSingleParticle.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSingleParticle.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSingleParticle.o: /usr/include/gnu/stubs.h
+EvtSingleParticle.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSingleParticle.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSingleParticle.o: ../EvtGenBase/EvtVector4R.hh
+EvtSingleParticle.o: /usr/include/c++/3.4.6/iostream
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/ostream
+EvtSingleParticle.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/cstring
+EvtSingleParticle.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtSingleParticle.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtSingleParticle.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtSingleParticle.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtSingleParticle.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtSingleParticle.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSingleParticle.o: /usr/include/bits/stdio_lim.h
+EvtSingleParticle.o: /usr/include/bits/sys_errlist.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSingleParticle.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSingleParticle.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSingleParticle.o: /usr/include/libintl.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSingleParticle.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSingleParticle.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSingleParticle.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSingleParticle.o: /usr/include/bits/pthreadtypes.h
+EvtSingleParticle.o: /usr/include/bits/initspin.h
+EvtSingleParticle.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSingleParticle.o: /usr/include/bits/posix_opt.h
+EvtSingleParticle.o: /usr/include/bits/confname.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSingleParticle.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/cwchar
+EvtSingleParticle.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/exception
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/climits
+EvtSingleParticle.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSingleParticle.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSingleParticle.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSingleParticle.o: /usr/include/c++/3.4.6/new
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/cassert
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/string
+EvtSingleParticle.o: /usr/include/c++/3.4.6/memory
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/limits
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/algorithm
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSingleParticle.o: /usr/include/c++/3.4.6/streambuf
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSingleParticle.o: /usr/include/c++/3.4.6/locale
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSingleParticle.o: /usr/include/c++/3.4.6/typeinfo
+EvtSingleParticle.o: /usr/include/c++/3.4.6/istream
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSingleParticle.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtSingleParticle.o: /usr/include/bits/mathdef.h
+EvtSingleParticle.o: /usr/include/bits/mathcalls.h
+EvtSingleParticle.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtSingleParticle.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSingleParticle.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSingleParticle.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtRandom.hh
+EvtSingleParticle.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSingleParticle.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtSingleParticle.o: /usr/include/c++/3.4.6/vector
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSingleParticle.o: ../EvtGenBase/EvtStringHash.hh
+EvtSingleParticle.o: /usr/include/c++/3.4.6/map
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSingleParticle.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSingleParticle.o: ../EvtGenModels/EvtSingleParticle.hh
+EvtSingleParticle.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtSingleParticle.o: ../EvtGenBase/EvtDecayBase.hh
+EvtSLBKPole.o: /usr/include/stdlib.h /usr/include/features.h
+EvtSLBKPole.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtSLBKPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSLBKPole.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSLBKPole.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSLBKPole.o: /usr/include/c++/3.4.6/iosfwd
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSLBKPole.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSLBKPole.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSLBKPole.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSLBKPole.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSLBKPole.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSLBKPole.o: /usr/include/gconv.h
+EvtSLBKPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSLBKPole.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSLBKPole.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSLBKPole.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSLBKPole.o: /usr/include/libintl.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSLBKPole.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSLBKPole.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSLBKPole.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSLBKPole.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtSLBKPole.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSLBKPole.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSLBKPole.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSLBKPole.o: /usr/include/stdint.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/exception
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/climits
+EvtSLBKPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSLBKPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSLBKPole.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSLBKPole.o: /usr/include/c++/3.4.6/new
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/cassert
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/limits
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/algorithm
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSLBKPole.o: /usr/include/c++/3.4.6/streambuf
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSLBKPole.o: /usr/include/c++/3.4.6/locale
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSLBKPole.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSLBKPole.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSLBKPole.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSLBKPole.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSLBKPole.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSLBKPole.o: ../EvtGenModels/EvtSLBKPole.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtPatches.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtSLBKPole.o: ../EvtGenModels/EvtSLBKPoleFF.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtSLBKPole.o: ../EvtGenBase/EvtSemiLeptonicTensorAmp.hh
+EvtSLBKPoleFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/iostream
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSLBKPoleFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSLBKPoleFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/cstring
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/cstddef
+EvtSLBKPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSLBKPoleFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSLBKPoleFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSLBKPoleFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSLBKPoleFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSLBKPoleFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSLBKPoleFF.o: /usr/include/gconv.h
+EvtSLBKPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSLBKPoleFF.o: /usr/include/bits/stdio_lim.h
+EvtSLBKPoleFF.o: /usr/include/bits/sys_errlist.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSLBKPoleFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSLBKPoleFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSLBKPoleFF.o: /usr/include/libintl.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSLBKPoleFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSLBKPoleFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSLBKPoleFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSLBKPoleFF.o: /usr/include/bits/pthreadtypes.h
+EvtSLBKPoleFF.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSLBKPoleFF.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSLBKPoleFF.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSLBKPoleFF.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSLBKPoleFF.o: /usr/include/bits/endian.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSLBKPoleFF.o: /usr/include/stdint.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/exception
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/climits
+EvtSLBKPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSLBKPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSLBKPoleFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSLBKPoleFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/limits
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/algorithm
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/streambuf
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/locale
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/typeinfo
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/istream
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSLBKPoleFF.o: ../EvtGenModels/EvtSLBKPoleFF.hh
+EvtSLBKPoleFF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtSLBKPoleFF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSLBKPoleFF.o: ../EvtGenBase/EvtSpinType.hh
+EvtSLBKPoleFF.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/vector
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSLBKPoleFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSLBKPoleFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSLBKPoleFF.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtSLBKPoleFF.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtSll.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSll.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSll.o: /usr/include/gnu/stubs.h
+EvtSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSll.o: /usr/include/c++/3.4.6/iostream
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSll.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSll.o: /usr/include/c++/3.4.6/iosfwd
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSll.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSll.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSll.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSll.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSll.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtSll.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSll.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSll.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSll.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSll.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSll.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSll.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSll.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSll.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSll.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSll.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSll.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSll.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSll.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSll.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSll.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSll.o: /usr/include/c++/3.4.6/exception
+EvtSll.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSll.o: /usr/include/c++/3.4.6/climits
+EvtSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSll.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSll.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSll.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtSll.o: /usr/include/assert.h /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSll.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSll.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSll.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSll.o: /usr/include/c++/3.4.6/limits
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSll.o: /usr/include/c++/3.4.6/algorithm
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSll.o: /usr/include/c++/3.4.6/streambuf
+EvtSll.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSll.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSll.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSll.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSll.o: /usr/include/c++/3.4.6/locale
+EvtSll.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSll.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSll.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSll.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtSll.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtSll.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtSll.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtSll.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtSll.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtSll.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSll.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSll.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSll.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSll.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenModels/EvtSll.hh
+EvtSll.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtSll.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtSll.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtSll.o: ../EvtGenBase/EvtVector3C.hh
+EvtSLN.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSLN.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSLN.o: /usr/include/gnu/stubs.h
+EvtSLN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSLN.o: /usr/include/c++/3.4.6/iostream
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSLN.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSLN.o: /usr/include/c++/3.4.6/iosfwd
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSLN.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSLN.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSLN.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSLN.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSLN.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtSLN.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtSLN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSLN.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSLN.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSLN.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSLN.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSLN.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSLN.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSLN.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSLN.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSLN.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSLN.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSLN.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSLN.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSLN.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSLN.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSLN.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSLN.o: /usr/include/c++/3.4.6/exception
+EvtSLN.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSLN.o: /usr/include/c++/3.4.6/climits
+EvtSLN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSLN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSLN.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSLN.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSLN.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtSLN.o: /usr/include/assert.h /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSLN.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSLN.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSLN.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSLN.o: /usr/include/c++/3.4.6/limits
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSLN.o: /usr/include/c++/3.4.6/algorithm
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSLN.o: /usr/include/c++/3.4.6/streambuf
+EvtSLN.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSLN.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSLN.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSLN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSLN.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSLN.o: /usr/include/c++/3.4.6/locale
+EvtSLN.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSLN.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSLN.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSLN.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtSLN.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtSLN.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtSLN.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtSLN.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtSLN.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtSLN.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSLN.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSLN.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSLN.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSLN.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenModels/EvtSLN.hh
+EvtSLN.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtSLN.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtSLN.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtSLN.o: ../EvtGenBase/EvtVector3C.hh
+EvtSLPole.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSLPole.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSLPole.o: /usr/include/gnu/stubs.h
+EvtSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSLPole.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSLPole.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSLPole.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSLPole.o: /usr/include/c++/3.4.6/iosfwd
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSLPole.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSLPole.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSLPole.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSLPole.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSLPole.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSLPole.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSLPole.o: /usr/include/gconv.h
+EvtSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSLPole.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSLPole.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSLPole.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSLPole.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSLPole.o: /usr/include/libintl.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSLPole.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSLPole.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSLPole.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSLPole.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSLPole.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSLPole.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSLPole.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSLPole.o: /usr/include/bits/endian.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSLPole.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSLPole.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSLPole.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSLPole.o: /usr/include/c++/3.4.6/exception
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSLPole.o: /usr/include/c++/3.4.6/climits
+EvtSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSLPole.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSLPole.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSLPole.o: /usr/include/c++/3.4.6/new
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSLPole.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSLPole.o: /usr/include/c++/3.4.6/cassert
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSLPole.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSLPole.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSLPole.o: /usr/include/c++/3.4.6/limits
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSLPole.o: /usr/include/c++/3.4.6/algorithm
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSLPole.o: /usr/include/c++/3.4.6/streambuf
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSLPole.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSLPole.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSLPole.o: /usr/include/c++/3.4.6/locale
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSLPole.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSLPole.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSLPole.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSLPole.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSLPole.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSLPole.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSLPole.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSLPole.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSLPole.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSLPole.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSLPole.o: ../EvtGenModels/EvtSLPole.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSLPole.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSLPole.o: ../EvtGenBase/EvtSemiLeptonicFF.hh
+EvtSLPole.o: ../EvtGenBase/EvtSemiLeptonicAmp.hh
+EvtSLPole.o: ../EvtGenModels/EvtSLPoleFF.hh
+EvtSLPole.o: ../EvtGenBase/EvtSemiLeptonicScalarAmp.hh
+EvtSLPole.o: ../EvtGenBase/EvtSemiLeptonicVectorAmp.hh
+EvtSLPole.o: ../EvtGenBase/EvtSemiLeptonicTensorAmp.hh
+EvtSLPoleFF.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtReport.hh
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/iostream
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSLPoleFF.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSLPoleFF.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSLPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSLPoleFF.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSLPoleFF.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSLPoleFF.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSLPoleFF.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSLPoleFF.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSLPoleFF.o: /usr/include/gconv.h
+EvtSLPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSLPoleFF.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSLPoleFF.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSLPoleFF.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSLPoleFF.o: /usr/include/libintl.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSLPoleFF.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSLPoleFF.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSLPoleFF.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSLPoleFF.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtSLPoleFF.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSLPoleFF.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSLPoleFF.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSLPoleFF.o: /usr/include/stdint.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/exception
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/climits
+EvtSLPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSLPoleFF.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSLPoleFF.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSLPoleFF.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/limits
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/algorithm
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/streambuf
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/locale
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSLPoleFF.o: ../EvtGenModels/EvtSLPoleFF.hh
+EvtSLPoleFF.o: ../EvtGenBase/EvtSemiLeptonicFF.hh ../EvtGenBase/EvtId.hh
+EvtSLPoleFF.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSLPoleFF.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/vector
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSLPoleFF.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSLPoleFF.o: /usr/include/c++/3.4.6/bits/stl_multimap.h /usr/include/math.h
+EvtSLPoleFF.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSLPoleFF.o: /usr/include/bits/mathcalls.h
+EvtSSDCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSSDCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSSDCP.o: /usr/include/gnu/stubs.h
+EvtSSDCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSSDCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSSDCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSSDCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSSDCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSSDCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSSDCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSSDCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSSDCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSSDCP.o: /usr/include/gconv.h
+EvtSSDCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSSDCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSSDCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSSDCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSSDCP.o: /usr/include/libintl.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSSDCP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSSDCP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSSDCP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSSDCP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSSDCP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSSDCP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSSDCP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSSDCP.o: /usr/include/bits/endian.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSSDCP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/exception
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/climits
+EvtSSDCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSSDCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSSDCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSSDCP.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/cassert
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/limits
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/algorithm
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSSDCP.o: /usr/include/c++/3.4.6/streambuf
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSSDCP.o: /usr/include/c++/3.4.6/locale
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSSDCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSSDCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSSDCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSSDCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSSDCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSSDCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtRandom.hh
+EvtSSDCP.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtCPUtil.hh
+EvtSSDCP.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSSDCP.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSSDCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSSDCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSSDCP.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSSDCP.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtSSDCP.o: ../EvtGenModels/EvtSSDCP.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSSDCP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSSSCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSSSCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSSSCP.o: /usr/include/gnu/stubs.h
+EvtSSSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSSSCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSSSCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSSSCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSSSCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSSSCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSSSCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSSSCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSSSCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSSSCP.o: /usr/include/gconv.h
+EvtSSSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSSSCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSSSCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSSSCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSSSCP.o: /usr/include/libintl.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSSSCP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSSSCP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSSSCP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSSSCP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSSSCP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSSSCP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSSSCP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSSSCP.o: /usr/include/bits/endian.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSSSCP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/exception
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/climits
+EvtSSSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSSSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSSSCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSSSCP.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/cassert
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/limits
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/algorithm
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSSSCP.o: /usr/include/c++/3.4.6/streambuf
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSSSCP.o: /usr/include/c++/3.4.6/locale
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSSSCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSSSCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSSSCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSSSCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSSSCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSSSCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSSSCP.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtPDL.hh
+EvtSSSCP.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtSSSCP.o: /usr/include/c++/3.4.6/vector
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSSSCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSSSCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSSSCP.o: ../EvtGenModels/EvtSSSCP.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSSSCP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSSSCPpng.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSSSCPpng.o: /usr/include/gnu/stubs.h
+EvtSSSCPpng.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSSSCPpng.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSSSCPpng.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/iosfwd
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSSSCPpng.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSSSCPpng.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSSSCPpng.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSSSCPpng.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSSSCPpng.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSSSCPpng.o: /usr/include/gconv.h
+EvtSSSCPpng.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSSSCPpng.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSSSCPpng.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSSSCPpng.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSSSCPpng.o: /usr/include/libintl.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSSSCPpng.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSSSCPpng.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSSSCPpng.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSSSCPpng.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtSSSCPpng.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSSSCPpng.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSSSCPpng.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSSSCPpng.o: /usr/include/stdint.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/exception
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/climits
+EvtSSSCPpng.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSSSCPpng.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSSSCPpng.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/new
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/cassert
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/limits
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/algorithm
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/streambuf
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/locale
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSSSCPpng.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSSSCPpng.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtRandom.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtCPUtil.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSSSCPpng.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSSSCPpng.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSSSCPpng.o: ../EvtGenModels/EvtSSSCPpng.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSSSCPpng.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSSSCPT.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSSSCPT.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSSSCPT.o: /usr/include/gnu/stubs.h
+EvtSSSCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSSSCPT.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSSSCPT.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSSSCPT.o: /usr/include/c++/3.4.6/iosfwd
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSSSCPT.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSSSCPT.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSSSCPT.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSSSCPT.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSSSCPT.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSSSCPT.o: /usr/include/gconv.h
+EvtSSSCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSSSCPT.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSSSCPT.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSSSCPT.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSSSCPT.o: /usr/include/libintl.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSSSCPT.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSSSCPT.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSSSCPT.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSSSCPT.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSSSCPT.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSSSCPT.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSSSCPT.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSSSCPT.o: /usr/include/bits/endian.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSSSCPT.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/exception
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/climits
+EvtSSSCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSSSCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSSSCPT.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSSSCPT.o: /usr/include/c++/3.4.6/new
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/cassert
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/limits
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/algorithm
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSSSCPT.o: /usr/include/c++/3.4.6/streambuf
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSSSCPT.o: /usr/include/c++/3.4.6/locale
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSSSCPT.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSSSCPT.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSSSCPT.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSSSCPT.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSSSCPT.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSSSCPT.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSSSCPT.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtPDL.hh
+EvtSSSCPT.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtSSSCPT.o: /usr/include/c++/3.4.6/vector
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSSSCPT.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSSSCPT.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSSSCPT.o: ../EvtGenModels/EvtSSSCPT.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSSSCPT.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSTS.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSTS.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSTS.o: /usr/include/gnu/stubs.h
+EvtSTS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSTS.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSTS.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSTS.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSTS.o: /usr/include/c++/3.4.6/iosfwd
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSTS.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSTS.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSTS.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSTS.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSTS.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtSTS.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtSTS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSTS.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSTS.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSTS.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSTS.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSTS.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSTS.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSTS.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSTS.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSTS.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSTS.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSTS.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSTS.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSTS.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSTS.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSTS.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSTS.o: /usr/include/c++/3.4.6/exception
+EvtSTS.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSTS.o: /usr/include/c++/3.4.6/climits
+EvtSTS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSTS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSTS.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSTS.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSTS.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtSTS.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSTS.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSTS.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSTS.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSTS.o: /usr/include/c++/3.4.6/limits
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSTS.o: /usr/include/c++/3.4.6/algorithm
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSTS.o: /usr/include/c++/3.4.6/streambuf
+EvtSTS.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSTS.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSTS.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSTS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSTS.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSTS.o: /usr/include/c++/3.4.6/locale
+EvtSTS.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSTS.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSTS.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSTS.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSTS.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSTS.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSTS.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSTS.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSTS.o: ../EvtGenBase/EvtTensor4C.hh ../EvtGenBase/EvtVector4C.hh
+EvtSTS.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtVector3R.hh
+EvtSTS.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSTS.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSTS.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSTS.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSTS.o: ../EvtGenModels/EvtSTS.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSTS.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSTSCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSTSCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSTSCP.o: /usr/include/gnu/stubs.h
+EvtSTSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSTSCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSTSCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSTSCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSTSCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSTSCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSTSCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSTSCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSTSCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSTSCP.o: /usr/include/gconv.h
+EvtSTSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSTSCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSTSCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSTSCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSTSCP.o: /usr/include/libintl.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSTSCP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSTSCP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSTSCP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSTSCP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSTSCP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSTSCP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSTSCP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSTSCP.o: /usr/include/bits/endian.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSTSCP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/exception
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/climits
+EvtSTSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSTSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSTSCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSTSCP.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/cassert
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/limits
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/algorithm
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSTSCP.o: /usr/include/c++/3.4.6/streambuf
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSTSCP.o: /usr/include/c++/3.4.6/locale
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSTSCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSTSCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSTSCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSTSCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSTSCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSTSCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSTSCP.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtTensor4C.hh
+EvtSTSCP.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSTSCP.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtPDL.hh
+EvtSTSCP.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtSTSCP.o: /usr/include/c++/3.4.6/vector
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSTSCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSTSCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSTSCP.o: ../EvtGenModels/EvtSTSCP.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSTSCP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVPCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVPCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVPCP.o: /usr/include/gnu/stubs.h
+EvtSVPCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVPCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVPCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVPCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVPCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVPCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVPCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVPCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVPCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVPCP.o: /usr/include/gconv.h
+EvtSVPCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVPCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVPCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVPCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVPCP.o: /usr/include/libintl.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVPCP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSVPCP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSVPCP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSVPCP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSVPCP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSVPCP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSVPCP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSVPCP.o: /usr/include/bits/endian.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVPCP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/exception
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/climits
+EvtSVPCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVPCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVPCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVPCP.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/cassert
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/limits
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/algorithm
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVPCP.o: /usr/include/c++/3.4.6/streambuf
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVPCP.o: /usr/include/c++/3.4.6/locale
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVPCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVPCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVPCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVPCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVPCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVPCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVPCP.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVPCP.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVPCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVPCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVPCP.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVPCP.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtSVPCP.o: ../EvtGenBase/EvtTensor3C.hh ../EvtGenModels/EvtSVPCP.hh
+EvtSVPCP.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtSVPCP.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtCPUtil.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVPHelAmp.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVPHelAmp.o: /usr/include/gnu/stubs.h
+EvtSVPHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVPHelAmp.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVPHelAmp.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVPHelAmp.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVPHelAmp.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVPHelAmp.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVPHelAmp.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVPHelAmp.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVPHelAmp.o: /usr/include/gconv.h
+EvtSVPHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVPHelAmp.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVPHelAmp.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVPHelAmp.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVPHelAmp.o: /usr/include/libintl.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVPHelAmp.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSVPHelAmp.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSVPHelAmp.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSVPHelAmp.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtSVPHelAmp.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSVPHelAmp.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSVPHelAmp.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVPHelAmp.o: /usr/include/stdint.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/exception
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/climits
+EvtSVPHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVPHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVPHelAmp.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/new
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/cassert
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/limits
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/algorithm
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/streambuf
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/locale
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/typeinfo
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/istream
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVPHelAmp.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVPHelAmp.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/vector
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVPHelAmp.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVPHelAmp.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVPHelAmp.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtSVPHelAmp.o: ../EvtGenModels/EvtSVPHelAmp.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSVPHelAmp.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVS.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVS.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVS.o: /usr/include/gnu/stubs.h
+EvtSVS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVS.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVS.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVS.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVS.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVS.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVS.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVS.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVS.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVS.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtSVS.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtSVS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVS.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVS.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVS.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVS.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVS.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSVS.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSVS.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSVS.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSVS.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSVS.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSVS.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSVS.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVS.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVS.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVS.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVS.o: /usr/include/c++/3.4.6/exception
+EvtSVS.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVS.o: /usr/include/c++/3.4.6/climits
+EvtSVS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVS.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVS.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVS.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtSVS.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVS.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVS.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVS.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVS.o: /usr/include/c++/3.4.6/limits
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVS.o: /usr/include/c++/3.4.6/algorithm
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVS.o: /usr/include/c++/3.4.6/streambuf
+EvtSVS.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVS.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVS.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVS.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVS.o: /usr/include/c++/3.4.6/locale
+EvtSVS.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVS.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSVS.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVS.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVS.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVS.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVS.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVS.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVS.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVS.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVS.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVS.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVS.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVS.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenModels/EvtSVS.hh
+EvtSVS.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtSVS.o: ../EvtGenBase/EvtAmp.hh
+EvtSVSCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVSCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVSCP.o: /usr/include/gnu/stubs.h
+EvtSVSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVSCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVSCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVSCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVSCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVSCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVSCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVSCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVSCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVSCP.o: /usr/include/gconv.h
+EvtSVSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVSCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVSCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVSCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVSCP.o: /usr/include/libintl.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVSCP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSVSCP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSVSCP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSVSCP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSVSCP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSVSCP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSVSCP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSVSCP.o: /usr/include/bits/endian.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVSCP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/exception
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/climits
+EvtSVSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVSCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVSCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVSCP.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/cassert
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/limits
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/algorithm
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVSCP.o: /usr/include/c++/3.4.6/streambuf
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVSCP.o: /usr/include/c++/3.4.6/locale
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVSCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVSCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVSCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVSCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVSCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVSCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVSCP.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtVector4C.hh
+EvtSVSCP.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtVector3R.hh
+EvtSVSCP.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVSCP.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVSCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVSCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVSCP.o: ../EvtGenModels/EvtSVSCP.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSVSCP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVSCPiso.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVSCPiso.o: /usr/include/gnu/stubs.h
+EvtSVSCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVSCPiso.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVSCPiso.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVSCPiso.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVSCPiso.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVSCPiso.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVSCPiso.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVSCPiso.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVSCPiso.o: /usr/include/gconv.h
+EvtSVSCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVSCPiso.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVSCPiso.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVSCPiso.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVSCPiso.o: /usr/include/libintl.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVSCPiso.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSVSCPiso.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSVSCPiso.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSVSCPiso.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtSVSCPiso.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSVSCPiso.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSVSCPiso.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVSCPiso.o: /usr/include/stdint.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/exception
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/climits
+EvtSVSCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVSCPiso.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVSCPiso.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/new
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/cassert
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/limits
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/algorithm
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/streambuf
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/locale
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVSCPiso.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVSCPiso.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtRandom.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtCPUtil.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVSCPiso.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVSCPiso.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVSCPiso.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenModels/EvtSVSCPiso.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtSVSCPiso.o: ../EvtGenBase/EvtAmp.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVSCPLH.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVSCPLH.o: /usr/include/gnu/stubs.h
+EvtSVSCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVSCPLH.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVSCPLH.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVSCPLH.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVSCPLH.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVSCPLH.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVSCPLH.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVSCPLH.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVSCPLH.o: /usr/include/gconv.h
+EvtSVSCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVSCPLH.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVSCPLH.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVSCPLH.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVSCPLH.o: /usr/include/libintl.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVSCPLH.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSVSCPLH.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSVSCPLH.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSVSCPLH.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSVSCPLH.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSVSCPLH.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSVSCPLH.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSVSCPLH.o: /usr/include/bits/endian.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVSCPLH.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/exception
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/climits
+EvtSVSCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVSCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVSCPLH.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/new
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/cassert
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/limits
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/algorithm
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/streambuf
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/locale
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVSCPLH.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVSCPLH.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtPDL.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/vector
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVSCPLH.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVSCPLH.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVSCPLH.o: ../EvtGenModels/EvtSVSCPLH.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVSCPLH.o: ../EvtGenBase/EvtVector3R.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVSNONCPEIGEN.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVSNONCPEIGEN.o: /usr/include/gnu/stubs.h
+EvtSVSNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtVector4R.hh
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/iostream
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/cstring
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtSVSNONCPEIGEN.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtSVSNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/stdio_lim.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/sys_errlist.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVSNONCPEIGEN.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVSNONCPEIGEN.o: /usr/include/libintl.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVSNONCPEIGEN.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSVSNONCPEIGEN.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSVSNONCPEIGEN.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/pthreadtypes.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/initspin.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/posix_opt.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/confname.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSVSNONCPEIGEN.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/cwchar
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/exception
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/climits
+EvtSVSNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVSNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVSNONCPEIGEN.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/new
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/cassert
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/string
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/memory
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/limits
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/algorithm
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/streambuf
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/locale
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/typeinfo
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/istream
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSVSNONCPEIGEN.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtSVSNONCPEIGEN.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtRandom.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtCPUtil.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/vector
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVSNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtVector3R.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenModels/EvtSVSNONCPEIGEN.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtDecayAmp.hh
+EvtSVSNONCPEIGEN.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVVCP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVVCP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVVCP.o: /usr/include/gnu/stubs.h
+EvtSVVCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVVCP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVVCP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVVCP.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVVCP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVVCP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVVCP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVVCP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVVCP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVVCP.o: /usr/include/gconv.h
+EvtSVVCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVVCP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVVCP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVVCP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVVCP.o: /usr/include/libintl.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVVCP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSVVCP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSVVCP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSVVCP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSVVCP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSVVCP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSVVCP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSVVCP.o: /usr/include/bits/endian.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVVCP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/exception
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/climits
+EvtSVVCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVVCP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVVCP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVVCP.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/cassert
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/limits
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/algorithm
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVVCP.o: /usr/include/c++/3.4.6/streambuf
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVVCP.o: /usr/include/c++/3.4.6/locale
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVVCP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVVCP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVVCP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVVCP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVVCP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVVCP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVVCP.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtPDL.hh
+EvtSVVCP.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVVCP.o: /usr/include/c++/3.4.6/vector
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVVCP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVVCP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVVCP.o: ../EvtGenModels/EvtSVVHelAmp.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSVVCP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVVCP.o: ../EvtGenModels/EvtSVVCP.hh
+EvtSVVCPLH.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVVCPLH.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVVCPLH.o: /usr/include/gnu/stubs.h
+EvtSVVCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVVCPLH.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVVCPLH.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVVCPLH.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVVCPLH.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVVCPLH.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVVCPLH.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVVCPLH.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVVCPLH.o: /usr/include/gconv.h
+EvtSVVCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVVCPLH.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVVCPLH.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVVCPLH.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVVCPLH.o: /usr/include/libintl.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVVCPLH.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtSVVCPLH.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtSVVCPLH.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtSVVCPLH.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSVVCPLH.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSVVCPLH.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSVVCPLH.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSVVCPLH.o: /usr/include/bits/endian.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVVCPLH.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/exception
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/climits
+EvtSVVCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVVCPLH.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVVCPLH.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/new
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/cassert
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/limits
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/algorithm
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/streambuf
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/locale
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVVCPLH.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVVCPLH.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVVCPLH.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVVCPLH.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVVCPLH.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVVCPLH.o: ../EvtGenBase/EvtCPUtil.hh ../EvtGenBase/EvtPDL.hh
+EvtSVVCPLH.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/vector
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVVCPLH.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVVCPLH.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVVCPLH.o: ../EvtGenModels/EvtSVVHelAmp.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtSVVCPLH.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVVCPLH.o: ../EvtGenModels/EvtSVVCPLH.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVVHelAmp.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVVHelAmp.o: /usr/include/gnu/stubs.h
+EvtSVVHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVVHelAmp.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVVHelAmp.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtSVVHelAmp.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVVHelAmp.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVVHelAmp.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVVHelAmp.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVVHelAmp.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVVHelAmp.o: /usr/include/gconv.h
+EvtSVVHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVVHelAmp.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVVHelAmp.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVVHelAmp.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVVHelAmp.o: /usr/include/libintl.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVVHelAmp.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSVVHelAmp.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSVVHelAmp.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSVVHelAmp.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtSVVHelAmp.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSVVHelAmp.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSVVHelAmp.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVVHelAmp.o: /usr/include/stdint.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/exception
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/climits
+EvtSVVHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVVHelAmp.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVVHelAmp.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/new
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/cassert
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/limits
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/algorithm
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/streambuf
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/locale
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/typeinfo
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/istream
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtSVVHelAmp.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtSVVHelAmp.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/vector
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVVHelAmp.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVVHelAmp.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVVHelAmp.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtTensor3C.hh ../EvtGenModels/EvtSVVHelAmp.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtSVVHelAmp.o: ../EvtGenBase/EvtAmp.hh
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/iostream
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVVHelCPMix.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVVHelCPMix.o: /usr/include/gnu/stubs.h /usr/include/c++/3.4.6/ostream
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/ios /usr/include/c++/3.4.6/iosfwd
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/cstring
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/cstddef
+EvtSVVHelCPMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVVHelCPMix.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtSVVHelCPMix.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtSVVHelCPMix.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtSVVHelCPMix.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtSVVHelCPMix.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtSVVHelCPMix.o: /usr/include/gconv.h
+EvtSVVHelCPMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVVHelCPMix.o: /usr/include/bits/stdio_lim.h
+EvtSVVHelCPMix.o: /usr/include/bits/sys_errlist.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVVHelCPMix.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVVHelCPMix.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVVHelCPMix.o: /usr/include/libintl.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVVHelCPMix.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSVVHelCPMix.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSVVHelCPMix.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSVVHelCPMix.o: /usr/include/bits/pthreadtypes.h
+EvtSVVHelCPMix.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtSVVHelCPMix.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtSVVHelCPMix.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtSVVHelCPMix.o: /usr/include/ctype.h /usr/include/endian.h
+EvtSVVHelCPMix.o: /usr/include/bits/endian.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtSVVHelCPMix.o: /usr/include/stdint.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/exception
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/climits
+EvtSVVHelCPMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVVHelCPMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVVHelCPMix.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVVHelCPMix.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/limits
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/algorithm
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/streambuf
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/locale
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/typeinfo
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/istream
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/fstream
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtSVVHelCPMix.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtSVVHelCPMix.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtPartProp.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/vector
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVVHelCPMix.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtTensor3C.hh
+EvtSVVHelCPMix.o: ../EvtGenModels/EvtSVVHelCPMix.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtSVVHelCPMix.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtAmp.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtSVVNONCPEIGEN.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtSVVNONCPEIGEN.o: /usr/include/gnu/stubs.h
+EvtSVVNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtVector4R.hh
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/iostream
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/iosfwd
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/cstring
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtSVVNONCPEIGEN.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtSVVNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/stdio_lim.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/sys_errlist.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtSVVNONCPEIGEN.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtSVVNONCPEIGEN.o: /usr/include/libintl.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtSVVNONCPEIGEN.o: /usr/include/pthread.h /usr/include/sched.h
+EvtSVVNONCPEIGEN.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtSVVNONCPEIGEN.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/pthreadtypes.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/initspin.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/posix_opt.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/confname.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtSVVNONCPEIGEN.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/cwchar
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/exception
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/climits
+EvtSVVNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtSVVNONCPEIGEN.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtSVVNONCPEIGEN.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/new
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/cassert
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/string
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/memory
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/limits
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/algorithm
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/streambuf
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/locale
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/typeinfo
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/istream
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtSVVNONCPEIGEN.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtSVVNONCPEIGEN.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtRandom.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtCPUtil.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/vector
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtSVVNONCPEIGEN.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtVector3R.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenModels/EvtSVVNONCPEIGEN.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtDecayAmp.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtSVVNONCPEIGEN.o: ../EvtGenModels/EvtSVVHelAmp.hh
+EvtTauHadnu.o: /usr/include/stdlib.h /usr/include/features.h
+EvtTauHadnu.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtTauHadnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/iostream
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtTauHadnu.o: /usr/include/c++/3.4.6/iosfwd
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtTauHadnu.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtTauHadnu.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtTauHadnu.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtTauHadnu.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtTauHadnu.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtTauHadnu.o: /usr/include/gconv.h
+EvtTauHadnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtTauHadnu.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtTauHadnu.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtTauHadnu.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtTauHadnu.o: /usr/include/libintl.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtTauHadnu.o: /usr/include/pthread.h /usr/include/sched.h
+EvtTauHadnu.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtTauHadnu.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtTauHadnu.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtTauHadnu.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtTauHadnu.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtTauHadnu.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtTauHadnu.o: /usr/include/stdint.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/exception
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/climits
+EvtTauHadnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtTauHadnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtTauHadnu.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtTauHadnu.o: /usr/include/c++/3.4.6/new
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/limits
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/algorithm
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtTauHadnu.o: /usr/include/c++/3.4.6/streambuf
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtTauHadnu.o: /usr/include/c++/3.4.6/locale
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtTauHadnu.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtTauHadnu.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtTauHadnu.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtTauHadnu.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtTauHadnu.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtTauHadnu.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtTauHadnu.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtTauHadnu.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenModels/EvtTauHadnu.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtAmp.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtDiracSpinor.hh ../EvtGenBase/EvtVector3R.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtTauHadnu.o: ../EvtGenBase/EvtIdSet.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtTaulnunu.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtTaulnunu.o: /usr/include/gnu/stubs.h
+EvtTaulnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/iostream
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtTaulnunu.o: /usr/include/c++/3.4.6/iosfwd
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtTaulnunu.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtTaulnunu.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtTaulnunu.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtTaulnunu.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtTaulnunu.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtTaulnunu.o: /usr/include/gconv.h
+EvtTaulnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtTaulnunu.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtTaulnunu.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtTaulnunu.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtTaulnunu.o: /usr/include/libintl.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtTaulnunu.o: /usr/include/pthread.h /usr/include/sched.h
+EvtTaulnunu.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtTaulnunu.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtTaulnunu.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtTaulnunu.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtTaulnunu.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtTaulnunu.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtTaulnunu.o: /usr/include/stdint.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/exception
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/climits
+EvtTaulnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtTaulnunu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtTaulnunu.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtTaulnunu.o: /usr/include/c++/3.4.6/new
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/limits
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/algorithm
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtTaulnunu.o: /usr/include/c++/3.4.6/streambuf
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtTaulnunu.o: /usr/include/c++/3.4.6/locale
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtTaulnunu.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtTaulnunu.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtTaulnunu.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtTaulnunu.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtTaulnunu.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtTaulnunu.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtTaulnunu.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtTaulnunu.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenModels/EvtTaulnunu.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtTaulnunu.o: ../EvtGenBase/EvtVector3C.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtTauScalarnu.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtTauScalarnu.o: /usr/include/gnu/stubs.h
+EvtTauScalarnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/iostream
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/iosfwd
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/cstring
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtTauScalarnu.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtTauScalarnu.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtTauScalarnu.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtTauScalarnu.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtTauScalarnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtTauScalarnu.o: /usr/include/bits/stdio_lim.h
+EvtTauScalarnu.o: /usr/include/bits/sys_errlist.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtTauScalarnu.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtTauScalarnu.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtTauScalarnu.o: /usr/include/libintl.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtTauScalarnu.o: /usr/include/pthread.h /usr/include/sched.h
+EvtTauScalarnu.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtTauScalarnu.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtTauScalarnu.o: /usr/include/bits/pthreadtypes.h
+EvtTauScalarnu.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtTauScalarnu.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtTauScalarnu.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtTauScalarnu.o: /usr/include/ctype.h /usr/include/endian.h
+EvtTauScalarnu.o: /usr/include/bits/endian.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtTauScalarnu.o: /usr/include/stdint.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/exception
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/climits
+EvtTauScalarnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtTauScalarnu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtTauScalarnu.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/new
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/limits
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/algorithm
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/streambuf
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/locale
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/typeinfo
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/istream
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtTauScalarnu.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtTauScalarnu.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtTauScalarnu.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtTauScalarnu.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/vector
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtTauScalarnu.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtTauScalarnu.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtTauScalarnu.o: ../EvtGenBase/EvtGenKine.hh
+EvtTauScalarnu.o: ../EvtGenModels/EvtTauScalarnu.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtTauScalarnu.o: ../EvtGenBase/EvtVector3C.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtTauVectornu.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtTauVectornu.o: /usr/include/gnu/stubs.h
+EvtTauVectornu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/iostream
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtTauVectornu.o: /usr/include/c++/3.4.6/iosfwd
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/cstring
+EvtTauVectornu.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtTauVectornu.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtTauVectornu.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtTauVectornu.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtTauVectornu.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtTauVectornu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtTauVectornu.o: /usr/include/bits/stdio_lim.h
+EvtTauVectornu.o: /usr/include/bits/sys_errlist.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtTauVectornu.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtTauVectornu.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtTauVectornu.o: /usr/include/libintl.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtTauVectornu.o: /usr/include/pthread.h /usr/include/sched.h
+EvtTauVectornu.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtTauVectornu.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtTauVectornu.o: /usr/include/bits/pthreadtypes.h
+EvtTauVectornu.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtTauVectornu.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtTauVectornu.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtTauVectornu.o: /usr/include/ctype.h /usr/include/endian.h
+EvtTauVectornu.o: /usr/include/bits/endian.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtTauVectornu.o: /usr/include/stdint.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/exception
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/climits
+EvtTauVectornu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtTauVectornu.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtTauVectornu.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtTauVectornu.o: /usr/include/c++/3.4.6/new
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/limits
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/algorithm
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtTauVectornu.o: /usr/include/c++/3.4.6/streambuf
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtTauVectornu.o: /usr/include/c++/3.4.6/locale
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtTauVectornu.o: /usr/include/c++/3.4.6/typeinfo
+EvtTauVectornu.o: /usr/include/c++/3.4.6/istream
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtTauVectornu.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtTauVectornu.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtTauVectornu.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtTauVectornu.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtTauVectornu.o: /usr/include/c++/3.4.6/vector
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtTauVectornu.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtTauVectornu.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtTauVectornu.o: ../EvtGenBase/EvtGenKine.hh
+EvtTauVectornu.o: ../EvtGenModels/EvtTauVectornu.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtTauVectornu.o: ../EvtGenBase/EvtVector3C.hh
+EvtTSS.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtTSS.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtTSS.o: /usr/include/gnu/stubs.h
+EvtTSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtTSS.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtComplex.hh
+EvtTSS.o: /usr/include/c++/3.4.6/iostream
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtTSS.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtTSS.o: /usr/include/c++/3.4.6/iosfwd
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtTSS.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtTSS.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtTSS.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtTSS.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtTSS.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtTSS.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtTSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtTSS.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtTSS.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtTSS.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtTSS.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtTSS.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtTSS.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtTSS.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtTSS.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtTSS.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtTSS.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtTSS.o: /usr/include/ctype.h /usr/include/endian.h
+EvtTSS.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtTSS.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtTSS.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtTSS.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtTSS.o: /usr/include/c++/3.4.6/exception
+EvtTSS.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtTSS.o: /usr/include/c++/3.4.6/climits
+EvtTSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtTSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtTSS.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtTSS.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtTSS.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtTSS.o: /usr/include/assert.h /usr/include/c++/3.4.6/bits/localefwd.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtTSS.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtTSS.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtTSS.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtTSS.o: /usr/include/c++/3.4.6/limits
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtTSS.o: /usr/include/c++/3.4.6/algorithm
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtTSS.o: /usr/include/c++/3.4.6/streambuf
+EvtTSS.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtTSS.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtTSS.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtTSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtTSS.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtTSS.o: /usr/include/c++/3.4.6/locale
+EvtTSS.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtTSS.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtTSS.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtTSS.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtTSS.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtConst.hh
+EvtTSS.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtVector3R.hh
+EvtTSS.o: ../EvtGenBase/EvtVector4R.hh ../EvtGenBase/EvtParticle.hh
+EvtTSS.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtId.hh
+EvtTSS.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtTSS.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtTSS.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtTSS.o: /usr/include/c++/3.4.6/vector
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtTSS.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtTSS.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtTSS.o: ../EvtGenBase/EvtTensor4C.hh ../EvtGenModels/EvtTSS.hh
+EvtTSS.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtTSS.o: ../EvtGenBase/EvtAmp.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtTVSPwave.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtTVSPwave.o: /usr/include/gnu/stubs.h
+EvtTVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtTVSPwave.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtTVSPwave.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtTVSPwave.o: /usr/include/c++/3.4.6/iosfwd
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtTVSPwave.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtTVSPwave.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtTVSPwave.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtTVSPwave.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtTVSPwave.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtTVSPwave.o: /usr/include/gconv.h
+EvtTVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtTVSPwave.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtTVSPwave.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtTVSPwave.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtTVSPwave.o: /usr/include/libintl.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtTVSPwave.o: /usr/include/pthread.h /usr/include/sched.h
+EvtTVSPwave.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtTVSPwave.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtTVSPwave.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtTVSPwave.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtTVSPwave.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtTVSPwave.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtTVSPwave.o: /usr/include/stdint.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/exception
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/climits
+EvtTVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtTVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtTVSPwave.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtTVSPwave.o: /usr/include/c++/3.4.6/new
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/cassert
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/limits
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/algorithm
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtTVSPwave.o: /usr/include/c++/3.4.6/streambuf
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtTVSPwave.o: /usr/include/c++/3.4.6/locale
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtTVSPwave.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtTVSPwave.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtTVSPwave.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtTVSPwave.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtTVSPwave.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtTVSPwave.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtTVSPwave.o: ../EvtGenModels/EvtTVSPwave.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtTVSPwave.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVectorIsr.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVectorIsr.o: /usr/include/gnu/stubs.h
+EvtVectorIsr.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVectorIsr.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtVectorIsr.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/iostream
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVectorIsr.o: /usr/include/c++/3.4.6/iosfwd
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVectorIsr.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVectorIsr.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVectorIsr.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVectorIsr.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVectorIsr.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVectorIsr.o: /usr/include/gconv.h
+EvtVectorIsr.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVectorIsr.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVectorIsr.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVectorIsr.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVectorIsr.o: /usr/include/libintl.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVectorIsr.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVectorIsr.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVectorIsr.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVectorIsr.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtVectorIsr.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtVectorIsr.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtVectorIsr.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVectorIsr.o: /usr/include/stdint.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/exception
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/climits
+EvtVectorIsr.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVectorIsr.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVectorIsr.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVectorIsr.o: /usr/include/c++/3.4.6/new
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/limits
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/algorithm
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVectorIsr.o: /usr/include/c++/3.4.6/streambuf
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVectorIsr.o: /usr/include/c++/3.4.6/locale
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVectorIsr.o: /usr/include/c++/3.4.6/typeinfo
+EvtVectorIsr.o: /usr/include/c++/3.4.6/istream
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtVectorIsr.o: /usr/include/c++/3.4.6/iomanip
+EvtVectorIsr.o: /usr/include/c++/3.4.6/functional
+EvtVectorIsr.o: /usr/include/c++/3.4.6/sstream
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/sstream.tcc
+EvtVectorIsr.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtPhotonParticle.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtRandom.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtVectorIsr.o: /usr/include/c++/3.4.6/vector
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVectorIsr.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVectorIsr.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVectorIsr.o: ../EvtGenModels/EvtVectorIsr.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtVectorIsr.o: ../EvtGenBase/EvtDecayBase.hh
+EvtVll.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVll.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVll.o: /usr/include/gnu/stubs.h
+EvtVll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVll.o: /usr/include/c++/3.4.6/iostream
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVll.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVll.o: /usr/include/c++/3.4.6/iosfwd
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVll.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVll.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVll.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVll.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVll.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtVll.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVll.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVll.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVll.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVll.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVll.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVll.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVll.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVll.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVll.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVll.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVll.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVll.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVll.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVll.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVll.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVll.o: /usr/include/c++/3.4.6/exception
+EvtVll.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVll.o: /usr/include/c++/3.4.6/climits
+EvtVll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVll.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVll.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVll.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtVll.o: /usr/include/assert.h /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVll.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVll.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVll.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVll.o: /usr/include/c++/3.4.6/limits
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVll.o: /usr/include/c++/3.4.6/algorithm
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVll.o: /usr/include/c++/3.4.6/streambuf
+EvtVll.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVll.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVll.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVll.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVll.o: /usr/include/c++/3.4.6/locale
+EvtVll.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVll.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVll.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtVll.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtVll.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtVll.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtVll.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtVll.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtVll.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtVll.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVll.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVll.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVll.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVll.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenModels/EvtVll.hh
+EvtVll.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVll.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtVll.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtVll.o: ../EvtGenBase/EvtVector3C.hh
+EvtVPHOtoV.o: /usr/include/stdlib.h /usr/include/features.h
+EvtVPHOtoV.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtVPHOtoV.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVPHOtoV.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVPHOtoV.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/iosfwd
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVPHOtoV.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVPHOtoV.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVPHOtoV.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVPHOtoV.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVPHOtoV.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVPHOtoV.o: /usr/include/gconv.h
+EvtVPHOtoV.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVPHOtoV.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVPHOtoV.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVPHOtoV.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVPHOtoV.o: /usr/include/libintl.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVPHOtoV.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVPHOtoV.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVPHOtoV.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVPHOtoV.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVPHOtoV.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVPHOtoV.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVPHOtoV.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVPHOtoV.o: /usr/include/bits/endian.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVPHOtoV.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/exception
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/climits
+EvtVPHOtoV.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVPHOtoV.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVPHOtoV.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/new
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/cassert
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/limits
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/algorithm
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/streambuf
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/locale
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVPHOtoV.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVPHOtoV.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVPHOtoV.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVPHOtoV.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVPHOtoV.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenModels/EvtVPHOtoV.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVPHOtoV.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtAmp.hh
+EvtVPHOtoVISR.o: /usr/include/stdlib.h /usr/include/features.h
+EvtVPHOtoVISR.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtVPHOtoVISR.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/iosfwd
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/cstring
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtVPHOtoVISR.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtVPHOtoVISR.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtVPHOtoVISR.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtVPHOtoVISR.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVPHOtoVISR.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVPHOtoVISR.o: /usr/include/bits/stdio_lim.h
+EvtVPHOtoVISR.o: /usr/include/bits/sys_errlist.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVPHOtoVISR.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVPHOtoVISR.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVPHOtoVISR.o: /usr/include/libintl.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVPHOtoVISR.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVPHOtoVISR.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVPHOtoVISR.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVPHOtoVISR.o: /usr/include/bits/pthreadtypes.h
+EvtVPHOtoVISR.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVPHOtoVISR.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVPHOtoVISR.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVPHOtoVISR.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVPHOtoVISR.o: /usr/include/bits/endian.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVPHOtoVISR.o: /usr/include/stdint.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/exception
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/climits
+EvtVPHOtoVISR.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVPHOtoVISR.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVPHOtoVISR.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/new
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/cassert
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/limits
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/algorithm
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/streambuf
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/locale
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/typeinfo
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/istream
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVPHOtoVISR.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVPHOtoVISR.o: /usr/include/bits/mathcalls.h
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtPartProp.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/vector
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVPHOtoVISR.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtRandom.hh
+EvtVPHOtoVISR.o: ../EvtGenModels/EvtVPHOtoVISR.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVPHOtoVISR.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtAmp.hh
+EvtVPHOtoVISRHi.o: /usr/include/stdlib.h /usr/include/features.h
+EvtVPHOtoVISRHi.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtVPHOtoVISRHi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtVector4R.hh
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/iostream
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/iosfwd
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/cstring
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtVPHOtoVISRHi.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVPHOtoVISRHi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/stdio_lim.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/sys_errlist.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVPHOtoVISRHi.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVPHOtoVISRHi.o: /usr/include/libintl.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVPHOtoVISRHi.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVPHOtoVISRHi.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVPHOtoVISRHi.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/pthreadtypes.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVPHOtoVISRHi.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVPHOtoVISRHi.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/endian.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVPHOtoVISRHi.o: /usr/include/stdint.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/exception
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/climits
+EvtVPHOtoVISRHi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVPHOtoVISRHi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVPHOtoVISRHi.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/new
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/cassert
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/string
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/memory
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/limits
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/algorithm
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/streambuf
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/locale
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/typeinfo
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/istream
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtVPHOtoVISRHi.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtVPHOtoVISRHi.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/vector
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVPHOtoVISRHi.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtRandom.hh
+EvtVPHOtoVISRHi.o: ../EvtGenModels/EvtVPHOtoVISRHi.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVPHOtoVISRHi.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtAmp.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVSPPwave.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVSPPwave.o: /usr/include/gnu/stubs.h
+EvtVSPPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVSPPwave.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVSPPwave.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVSPPwave.o: /usr/include/c++/3.4.6/iosfwd
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVSPPwave.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVSPPwave.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVSPPwave.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVSPPwave.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVSPPwave.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVSPPwave.o: /usr/include/gconv.h
+EvtVSPPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVSPPwave.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVSPPwave.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVSPPwave.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVSPPwave.o: /usr/include/libintl.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVSPPwave.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVSPPwave.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVSPPwave.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVSPPwave.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtVSPPwave.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtVSPPwave.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtVSPPwave.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVSPPwave.o: /usr/include/stdint.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/exception
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/climits
+EvtVSPPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVSPPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVSPPwave.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVSPPwave.o: /usr/include/c++/3.4.6/new
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/cassert
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/limits
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/algorithm
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVSPPwave.o: /usr/include/c++/3.4.6/streambuf
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVSPPwave.o: /usr/include/c++/3.4.6/locale
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVSPPwave.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVSPPwave.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVSPPwave.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtTensor4C.hh ../EvtGenBase/EvtPDL.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtPartProp.hh ../EvtGenBase/EvtAbsLineShape.hh
+EvtVSPPwave.o: /usr/include/c++/3.4.6/vector
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVSPPwave.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVSPPwave.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVSPPwave.o: ../EvtGenModels/EvtVSPPwave.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVSPPwave.o: ../EvtGenBase/EvtVector3R.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVSSBMixCPT.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVSSBMixCPT.o: /usr/include/gnu/stubs.h
+EvtVSSBMixCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtParticle.hh
+EvtVSSBMixCPT.o: /usr/include/assert.h ../EvtGenBase/EvtVector4R.hh
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/iostream
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/iosfwd
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/cstring
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtVSSBMixCPT.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtVSSBMixCPT.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtVSSBMixCPT.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtVSSBMixCPT.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVSSBMixCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVSSBMixCPT.o: /usr/include/bits/stdio_lim.h
+EvtVSSBMixCPT.o: /usr/include/bits/sys_errlist.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVSSBMixCPT.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVSSBMixCPT.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVSSBMixCPT.o: /usr/include/libintl.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVSSBMixCPT.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVSSBMixCPT.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVSSBMixCPT.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVSSBMixCPT.o: /usr/include/bits/pthreadtypes.h
+EvtVSSBMixCPT.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVSSBMixCPT.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVSSBMixCPT.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVSSBMixCPT.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVSSBMixCPT.o: /usr/include/bits/endian.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVSSBMixCPT.o: /usr/include/stdint.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/exception
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/climits
+EvtVSSBMixCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVSSBMixCPT.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVSSBMixCPT.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/new
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/cassert
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/limits
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/algorithm
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/streambuf
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/locale
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/typeinfo
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/istream
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVSSBMixCPT.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVSSBMixCPT.o: /usr/include/bits/mathcalls.h
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/vector
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVSSBMixCPT.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtVector3R.hh
+EvtVSSBMixCPT.o: ../EvtGenModels/EvtVSSBMixCPT.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVSSBMixCPT.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtRandom.hh
+EvtVSS.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVSS.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVSS.o: /usr/include/gnu/stubs.h
+EvtVSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVSS.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVSS.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVSS.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVSS.o: /usr/include/c++/3.4.6/iosfwd
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVSS.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVSS.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVSS.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVSS.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVSS.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtVSS.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVSS.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVSS.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVSS.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVSS.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVSS.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVSS.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVSS.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVSS.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVSS.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVSS.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVSS.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVSS.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVSS.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVSS.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVSS.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVSS.o: /usr/include/c++/3.4.6/exception
+EvtVSS.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVSS.o: /usr/include/c++/3.4.6/climits
+EvtVSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVSS.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVSS.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVSS.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVSS.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtVSS.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVSS.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVSS.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVSS.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVSS.o: /usr/include/c++/3.4.6/limits
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVSS.o: /usr/include/c++/3.4.6/algorithm
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVSS.o: /usr/include/c++/3.4.6/streambuf
+EvtVSS.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVSS.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVSS.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVSS.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVSS.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVSS.o: /usr/include/c++/3.4.6/locale
+EvtVSS.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVSS.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVSS.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVSS.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVSS.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVSS.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVSS.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVSS.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVSS.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVSS.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVSS.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVSS.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVSS.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVSS.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenModels/EvtVSS.hh
+EvtVSS.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVSS.o: ../EvtGenBase/EvtAmp.hh
+EvtVSSMix.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVSSMix.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVSSMix.o: /usr/include/gnu/stubs.h
+EvtVSSMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVSSMix.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVSSMix.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVSSMix.o: /usr/include/c++/3.4.6/iosfwd
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVSSMix.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVSSMix.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVSSMix.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVSSMix.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVSSMix.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVSSMix.o: /usr/include/gconv.h
+EvtVSSMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVSSMix.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVSSMix.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVSSMix.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVSSMix.o: /usr/include/libintl.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVSSMix.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVSSMix.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVSSMix.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVSSMix.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVSSMix.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVSSMix.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVSSMix.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVSSMix.o: /usr/include/bits/endian.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVSSMix.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/exception
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/climits
+EvtVSSMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVSSMix.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVSSMix.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVSSMix.o: /usr/include/c++/3.4.6/new
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/cassert
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/limits
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/algorithm
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVSSMix.o: /usr/include/c++/3.4.6/streambuf
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVSSMix.o: /usr/include/c++/3.4.6/locale
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVSSMix.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVSSMix.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVSSMix.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVSSMix.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVSSMix.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVSSMix.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVSSMix.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVSSMix.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVSSMix.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVSSMix.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVSSMix.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVSSMix.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenModels/EvtVSSMix.hh
+EvtVSSMix.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVSSMix.o: ../EvtGenBase/EvtAmp.hh
+EvtVtoSll.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVtoSll.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVtoSll.o: /usr/include/gnu/stubs.h
+EvtVtoSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/iostream
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVtoSll.o: /usr/include/c++/3.4.6/iosfwd
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVtoSll.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVtoSll.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVtoSll.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVtoSll.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVtoSll.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVtoSll.o: /usr/include/gconv.h
+EvtVtoSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVtoSll.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVtoSll.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVtoSll.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVtoSll.o: /usr/include/libintl.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVtoSll.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVtoSll.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVtoSll.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVtoSll.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVtoSll.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVtoSll.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVtoSll.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVtoSll.o: /usr/include/bits/endian.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVtoSll.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/exception
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/climits
+EvtVtoSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVtoSll.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVtoSll.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVtoSll.o: /usr/include/c++/3.4.6/new
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/limits
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/algorithm
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVtoSll.o: /usr/include/c++/3.4.6/streambuf
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVtoSll.o: /usr/include/c++/3.4.6/locale
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVtoSll.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtVtoSll.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtVtoSll.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtVtoSll.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtVtoSll.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtComplex.hh
+EvtVtoSll.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtVtoSll.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtVtoSll.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVtoSll.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVtoSll.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVtoSll.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVtoSll.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenModels/EvtVtoSll.hh
+EvtVtoSll.o: ../EvtGenBase/EvtDecayAmp.hh ../EvtGenBase/EvtDecayBase.hh
+EvtVtoSll.o: ../EvtGenBase/EvtAmp.hh ../EvtGenBase/EvtDiracSpinor.hh
+EvtVtoSll.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtVector4C.hh
+EvtVtoSll.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtTensor4C.hh
+EvtVubAC.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVubAC.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVubAC.o: /usr/include/gnu/stubs.h
+EvtVubAC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVubAC.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVubAC.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVubAC.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVubAC.o: /usr/include/c++/3.4.6/iosfwd
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVubAC.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVubAC.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVubAC.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVubAC.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVubAC.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVubAC.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVubAC.o: /usr/include/gconv.h
+EvtVubAC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVubAC.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVubAC.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVubAC.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVubAC.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVubAC.o: /usr/include/libintl.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVubAC.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVubAC.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVubAC.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVubAC.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVubAC.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVubAC.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVubAC.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVubAC.o: /usr/include/bits/endian.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVubAC.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVubAC.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVubAC.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVubAC.o: /usr/include/c++/3.4.6/exception
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVubAC.o: /usr/include/c++/3.4.6/climits
+EvtVubAC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVubAC.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVubAC.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVubAC.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVubAC.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVubAC.o: /usr/include/c++/3.4.6/cassert
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVubAC.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVubAC.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVubAC.o: /usr/include/c++/3.4.6/limits
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVubAC.o: /usr/include/c++/3.4.6/algorithm
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVubAC.o: /usr/include/c++/3.4.6/streambuf
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVubAC.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVubAC.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVubAC.o: /usr/include/c++/3.4.6/locale
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVubAC.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVubAC.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVubAC.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVubAC.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVubAC.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVubAC.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVubAC.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVubAC.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVubAC.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVubAC.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVubAC.o: ../EvtGenModels/EvtVubAC.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtVubAC.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenModels/EvtPFermi.hh
+EvtVubAC.o: ../EvtGenBase/EvtRandom.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVubBLNP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVubBLNP.o: /usr/include/gnu/stubs.h
+EvtVubBLNP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVubBLNP.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVubBLNP.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVubBLNP.o: /usr/include/c++/3.4.6/iosfwd
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVubBLNP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVubBLNP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVubBLNP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVubBLNP.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVubBLNP.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVubBLNP.o: /usr/include/gconv.h
+EvtVubBLNP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVubBLNP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVubBLNP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVubBLNP.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVubBLNP.o: /usr/include/libintl.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVubBLNP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVubBLNP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVubBLNP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVubBLNP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVubBLNP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVubBLNP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVubBLNP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVubBLNP.o: /usr/include/bits/endian.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVubBLNP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/exception
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/climits
+EvtVubBLNP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVubBLNP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVubBLNP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVubBLNP.o: /usr/include/c++/3.4.6/new
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/cassert
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/limits
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/algorithm
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVubBLNP.o: /usr/include/c++/3.4.6/streambuf
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVubBLNP.o: /usr/include/c++/3.4.6/locale
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVubBLNP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVubBLNP.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVubBLNP.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVubBLNP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVubBLNP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVubBLNP.o: ../EvtGenModels/EvtVubBLNP.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtVubBLNP.o: ../EvtGenBase/EvtDecayBase.hh
+EvtVubBLNP.o: ../EvtGenModels/EvtItgSimpsonIntegrator.hh
+EvtVubBLNP.o: ../EvtGenModels/EvtItgAbsIntegrator.hh
+EvtVubBLNP.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtVubBLNP.o: ../EvtGenModels/EvtItgPtrFunction.hh ../EvtGenBase/EvtRandom.hh
+EvtVubBLNP.o: ../EvtGenModels/EvtPFermi.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVubBLNPHybrid.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVubBLNPHybrid.o: /usr/include/gnu/stubs.h
+EvtVubBLNPHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtVector4R.hh
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/iostream
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/iosfwd
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/cstring
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtVubBLNPHybrid.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtVubBLNPHybrid.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtVubBLNPHybrid.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtVubBLNPHybrid.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVubBLNPHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVubBLNPHybrid.o: /usr/include/bits/stdio_lim.h
+EvtVubBLNPHybrid.o: /usr/include/bits/sys_errlist.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVubBLNPHybrid.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVubBLNPHybrid.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVubBLNPHybrid.o: /usr/include/libintl.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVubBLNPHybrid.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVubBLNPHybrid.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVubBLNPHybrid.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVubBLNPHybrid.o: /usr/include/bits/pthreadtypes.h
+EvtVubBLNPHybrid.o: /usr/include/bits/initspin.h
+EvtVubBLNPHybrid.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtVubBLNPHybrid.o: /usr/include/bits/posix_opt.h
+EvtVubBLNPHybrid.o: /usr/include/bits/confname.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtVubBLNPHybrid.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/cwchar
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/exception
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/climits
+EvtVubBLNPHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVubBLNPHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVubBLNPHybrid.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/new
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/cassert
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/string
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/memory
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/limits
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/algorithm
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/streambuf
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/locale
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/typeinfo
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/istream
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtVubBLNPHybrid.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtVubBLNPHybrid.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/vector
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVubBLNPHybrid.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVubBLNPHybrid.o: ../EvtGenModels/EvtVubBLNPHybrid.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtDecayBase.hh
+EvtVubBLNPHybrid.o: ../EvtGenModels/EvtItgSimpsonIntegrator.hh
+EvtVubBLNPHybrid.o: ../EvtGenModels/EvtItgAbsIntegrator.hh
+EvtVubBLNPHybrid.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtVubBLNPHybrid.o: ../EvtGenModels/EvtItgPtrFunction.hh
+EvtVubBLNPHybrid.o: ../EvtGenBase/EvtRandom.hh ../EvtGenModels/EvtPFermi.hh
+EvtVub.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVub.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVub.o: /usr/include/gnu/stubs.h
+EvtVub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVub.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVub.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVub.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVub.o: /usr/include/c++/3.4.6/iosfwd
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVub.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVub.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVub.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVub.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVub.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtVub.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVub.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVub.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVub.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVub.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVub.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVub.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVub.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVub.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVub.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVub.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVub.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVub.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVub.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVub.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVub.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVub.o: /usr/include/c++/3.4.6/exception
+EvtVub.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVub.o: /usr/include/c++/3.4.6/climits
+EvtVub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVub.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVub.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVub.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVub.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtVub.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVub.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVub.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVub.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVub.o: /usr/include/c++/3.4.6/limits
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVub.o: /usr/include/c++/3.4.6/algorithm
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVub.o: /usr/include/c++/3.4.6/streambuf
+EvtVub.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVub.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVub.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVub.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVub.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVub.o: /usr/include/c++/3.4.6/locale
+EvtVub.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVub.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVub.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVub.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVub.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVub.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVub.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVub.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVub.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVub.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVub.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVub.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVub.o: ../EvtGenModels/EvtVub.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtVub.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenModels/EvtPFermi.hh
+EvtVub.o: ../EvtGenModels/EvtVubdGamma.hh ../EvtGenBase/EvtRandom.hh
+EvtVubdGamma.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtConst.hh
+EvtVubdGamma.o: ../EvtGenModels/EvtVubdGamma.hh ../EvtGenBase/EvtDiLog.hh
+EvtVubdGamma.o: /usr/include/math.h /usr/include/features.h
+EvtVubdGamma.o: /usr/include/sys/cdefs.h /usr/include/gnu/stubs.h
+EvtVubdGamma.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVubdGamma.o: /usr/include/bits/mathcalls.h
+EvtVubHybrid.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVubHybrid.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVubHybrid.o: /usr/include/gnu/stubs.h
+EvtVubHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVubHybrid.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVubHybrid.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVubHybrid.o: /usr/include/c++/3.4.6/iosfwd
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVubHybrid.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVubHybrid.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVubHybrid.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVubHybrid.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVubHybrid.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVubHybrid.o: /usr/include/gconv.h
+EvtVubHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVubHybrid.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVubHybrid.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVubHybrid.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVubHybrid.o: /usr/include/libintl.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVubHybrid.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVubHybrid.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVubHybrid.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVubHybrid.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtVubHybrid.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtVubHybrid.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtVubHybrid.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVubHybrid.o: /usr/include/stdint.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/exception
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/climits
+EvtVubHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVubHybrid.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVubHybrid.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVubHybrid.o: /usr/include/c++/3.4.6/new
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/cassert
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/limits
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/algorithm
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVubHybrid.o: /usr/include/c++/3.4.6/streambuf
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVubHybrid.o: /usr/include/c++/3.4.6/locale
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVubHybrid.o: /usr/include/c++/3.4.6/typeinfo
+EvtVubHybrid.o: /usr/include/c++/3.4.6/istream
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVubHybrid.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVubHybrid.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVubHybrid.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVubHybrid.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVubHybrid.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVubHybrid.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVubHybrid.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtVubHybrid.o: /usr/include/c++/3.4.6/vector
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVubHybrid.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVubHybrid.o: ../EvtGenModels/EvtVubHybrid.hh
+EvtVubHybrid.o: ../EvtGenBase/EvtDecayIncoherent.hh
+EvtVubHybrid.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenModels/EvtPFermi.hh
+EvtVubHybrid.o: ../EvtGenModels/EvtVubdGamma.hh ../EvtGenBase/EvtRandom.hh
+EvtVubHybrid.o: /usr/include/c++/3.4.6/fstream
+EvtVubHybrid.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/basic_file.h
+EvtVubHybrid.o: /usr/include/c++/3.4.6/bits/fstream.tcc
+EvtVubNLO.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVubNLO.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVubNLO.o: /usr/include/gnu/stubs.h
+EvtVubNLO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVubNLO.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVubNLO.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVubNLO.o: /usr/include/c++/3.4.6/iosfwd
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVubNLO.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVubNLO.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVubNLO.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVubNLO.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVubNLO.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVubNLO.o: /usr/include/gconv.h
+EvtVubNLO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVubNLO.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVubNLO.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVubNLO.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVubNLO.o: /usr/include/libintl.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVubNLO.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVubNLO.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVubNLO.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVubNLO.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVubNLO.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVubNLO.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVubNLO.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVubNLO.o: /usr/include/bits/endian.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVubNLO.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/exception
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/climits
+EvtVubNLO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVubNLO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVubNLO.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVubNLO.o: /usr/include/c++/3.4.6/new
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/cassert
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/limits
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/algorithm
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVubNLO.o: /usr/include/c++/3.4.6/streambuf
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVubNLO.o: /usr/include/c++/3.4.6/locale
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVubNLO.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVubNLO.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVubNLO.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVubNLO.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVubNLO.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVubNLO.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVubNLO.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVubNLO.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVubNLO.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVubNLO.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVubNLO.o: ../EvtGenModels/EvtVubNLO.hh ../EvtGenBase/EvtDecayIncoherent.hh
+EvtVubNLO.o: ../EvtGenBase/EvtDecayBase.hh
+EvtVubNLO.o: ../EvtGenModels/EvtItgSimpsonIntegrator.hh
+EvtVubNLO.o: ../EvtGenModels/EvtItgAbsIntegrator.hh
+EvtVubNLO.o: ../EvtGenModels/EvtItgAbsFunction.hh
+EvtVubNLO.o: ../EvtGenModels/EvtBtoXsgammaFermiUtil.hh
+EvtVubNLO.o: ../EvtGenModels/EvtItgPtrFunction.hh
+EvtVubNLO.o: ../EvtGenModels/EvtPFermi.hh ../EvtGenBase/EvtRandom.hh
+EvtVubNLO.o: ../EvtGenBase/EvtDiLog.hh
+EvtVVP.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVVP.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVVP.o: /usr/include/gnu/stubs.h
+EvtVVP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVVP.o: /usr/include/c++/3.4.6/iostream
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVVP.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVVP.o: /usr/include/c++/3.4.6/iosfwd
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVVP.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVVP.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVVP.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVVP.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVVP.o: /usr/include/libio.h /usr/include/_G_config.h /usr/include/wchar.h
+EvtVVP.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVVP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVVP.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVVP.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVVP.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVVP.o: /usr/include/nl_types.h /usr/include/iconv.h /usr/include/libintl.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVVP.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVVP.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVVP.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVVP.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVVP.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVVP.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVVP.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVVP.o: /usr/include/bits/endian.h /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVVP.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVVP.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVVP.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVVP.o: /usr/include/c++/3.4.6/exception
+EvtVVP.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVVP.o: /usr/include/c++/3.4.6/climits
+EvtVVP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVVP.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVVP.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVVP.o: /usr/include/c++/3.4.6/new /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVVP.o: /usr/include/c++/3.4.6/debug/debug.h /usr/include/c++/3.4.6/cassert
+EvtVVP.o: /usr/include/assert.h /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVVP.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVVP.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVVP.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVVP.o: /usr/include/c++/3.4.6/limits
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVVP.o: /usr/include/c++/3.4.6/algorithm
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVVP.o: /usr/include/c++/3.4.6/streambuf
+EvtVVP.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVVP.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVVP.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVVP.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVVP.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVVP.o: /usr/include/c++/3.4.6/locale
+EvtVVP.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVVP.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVVP.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtVVP.o: ../EvtGenBase/EvtVector3C.hh ../EvtGenBase/EvtComplex.hh
+EvtVVP.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtVVP.o: /usr/include/bits/mathdef.h /usr/include/bits/mathcalls.h
+EvtVVP.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtVector3R.hh
+EvtVVP.o: ../EvtGenBase/EvtParticle.hh ../EvtGenBase/EvtVector4R.hh
+EvtVVP.o: ../EvtGenBase/EvtSpinDensity.hh ../EvtGenBase/EvtId.hh
+EvtVVP.o: ../EvtGenBase/EvtSpinType.hh ../EvtGenBase/EvtReport.hh
+EvtVVP.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVVP.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVVP.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVVP.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVVP.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtVector4C.hh
+EvtVVP.o: ../EvtGenModels/EvtVVP.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtVVP.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtVVpipi.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVVpipi.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVVpipi.o: /usr/include/gnu/stubs.h
+EvtVVpipi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVVpipi.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVVpipi.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVVpipi.o: /usr/include/c++/3.4.6/iosfwd
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVVpipi.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVVpipi.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVVpipi.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVVpipi.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVVpipi.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVVpipi.o: /usr/include/gconv.h
+EvtVVpipi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVVpipi.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVVpipi.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVVpipi.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVVpipi.o: /usr/include/libintl.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVVpipi.o: /usr/include/pthread.h /usr/include/sched.h /usr/include/time.h
+EvtVVpipi.o: /usr/include/bits/sched.h /usr/include/signal.h
+EvtVVpipi.o: /usr/include/bits/sigset.h /usr/include/bits/pthreadtypes.h
+EvtVVpipi.o: /usr/include/bits/initspin.h /usr/include/bits/sigthread.h
+EvtVVpipi.o: /usr/include/unistd.h /usr/include/bits/posix_opt.h
+EvtVVpipi.o: /usr/include/bits/confname.h /usr/include/c++/3.4.6/cctype
+EvtVVpipi.o: /usr/include/ctype.h /usr/include/endian.h
+EvtVVpipi.o: /usr/include/bits/endian.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVVpipi.o: /usr/include/stdint.h /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/exception
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/climits
+EvtVVpipi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVVpipi.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVVpipi.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVVpipi.o: /usr/include/c++/3.4.6/new
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/cassert
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/limits
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/algorithm
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVVpipi.o: /usr/include/c++/3.4.6/streambuf
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVVpipi.o: /usr/include/c++/3.4.6/locale
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVVpipi.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVVpipi.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVVpipi.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVVpipi.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVVpipi.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVVpipi.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVVpipi.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVVpipi.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVVpipi.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVVpipi.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVVpipi.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVVpipi.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtVVpipi.o: ../EvtGenModels/EvtVVpipi.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtVVpipi.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/gnu/stubs.h
+EvtVVPIPI_WEIGHTED.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtVector4R.hh
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/iostream
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/ostream
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/ios
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/iosfwd
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/cstring
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtVVPIPI_WEIGHTED.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/stdio_lim.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/sys_errlist.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/libintl.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/pthreadtypes.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/initspin.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/posix_opt.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/confname.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/cwchar
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/exception
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/climits
+EvtVVPIPI_WEIGHTED.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVVPIPI_WEIGHTED.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/new
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/cassert
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/string
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/memory
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/limits
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/algorithm
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/streambuf
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/locale
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/typeinfo
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/istream
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtVVPIPI_WEIGHTED.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/mathdef.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/bits/mathcalls.h
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/vector
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtStringHash.hh
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/map
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVVPIPI_WEIGHTED.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtVector4C.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtVector3C.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtVector3R.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtTensor4C.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenModels/EvtVVPIPI_WEIGHTED.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtDecayAmp.hh
+EvtVVPIPI_WEIGHTED.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtVVSPwave.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtVVSPwave.o: /usr/include/gnu/stubs.h
+EvtVVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtVVSPwave.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtVVSPwave.o: ../EvtGenBase/EvtVector4R.hh /usr/include/c++/3.4.6/iostream
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/ostream /usr/include/c++/3.4.6/ios
+EvtVVSPwave.o: /usr/include/c++/3.4.6/iosfwd
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/cstring /usr/include/c++/3.4.6/cstddef
+EvtVVSPwave.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtVVSPwave.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtVVSPwave.o: /usr/include/bits/wordsize.h /usr/include/bits/typesizes.h
+EvtVVSPwave.o: /usr/include/libio.h /usr/include/_G_config.h
+EvtVVSPwave.o: /usr/include/wchar.h /usr/include/bits/wchar.h
+EvtVVSPwave.o: /usr/include/gconv.h
+EvtVVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtVVSPwave.o: /usr/include/bits/stdio_lim.h /usr/include/bits/sys_errlist.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtVVSPwave.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtVVSPwave.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtVVSPwave.o: /usr/include/libintl.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtVVSPwave.o: /usr/include/pthread.h /usr/include/sched.h
+EvtVVSPwave.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtVVSPwave.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtVVSPwave.o: /usr/include/bits/pthreadtypes.h /usr/include/bits/initspin.h
+EvtVVSPwave.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtVVSPwave.o: /usr/include/bits/posix_opt.h /usr/include/bits/confname.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtVVSPwave.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/cwchar /usr/include/c++/3.4.6/ctime
+EvtVVSPwave.o: /usr/include/stdint.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/exception
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/climits
+EvtVVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtVVSPwave.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtVVSPwave.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtVVSPwave.o: /usr/include/c++/3.4.6/new
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/cassert
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/string /usr/include/c++/3.4.6/memory
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/limits
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/algorithm
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtVVSPwave.o: /usr/include/c++/3.4.6/streambuf
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtVVSPwave.o: /usr/include/c++/3.4.6/locale
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtVVSPwave.o: /usr/include/c++/3.4.6/typeinfo /usr/include/c++/3.4.6/istream
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/istream.tcc /usr/include/math.h
+EvtVVSPwave.o: /usr/include/bits/huge_val.h /usr/include/bits/mathdef.h
+EvtVVSPwave.o: /usr/include/bits/mathcalls.h ../EvtGenBase/EvtSpinDensity.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtAbsLineShape.hh /usr/include/c++/3.4.6/vector
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtVVSPwave.o: ../EvtGenBase/EvtStringHash.hh /usr/include/c++/3.4.6/map
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtVVSPwave.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtVVSPwave.o: ../EvtGenBase/EvtVector4C.hh ../EvtGenBase/EvtVector3C.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtVector3R.hh ../EvtGenBase/EvtTensor4C.hh
+EvtVVSPwave.o: ../EvtGenModels/EvtVVSPwave.hh ../EvtGenBase/EvtDecayAmp.hh
+EvtVVSPwave.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+EvtWilsonCoeficients.o: ../EvtGenBase/EvtPatches.hh ../EvtGenBase/EvtConst.hh
+EvtWilsonCoeficients.o: ../EvtGenBase/EvtReport.hh
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/iostream
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtWilsonCoeficients.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtWilsonCoeficients.o: /usr/include/gnu/stubs.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/ostream
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/ios
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/iosfwd
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/cstring
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/cstddef
+EvtWilsonCoeficients.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtWilsonCoeficients.o: /usr/include/string.h /usr/include/c++/3.4.6/cstdio
+EvtWilsonCoeficients.o: /usr/include/stdio.h /usr/include/bits/types.h
+EvtWilsonCoeficients.o: /usr/include/bits/wordsize.h
+EvtWilsonCoeficients.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtWilsonCoeficients.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtWilsonCoeficients.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtWilsonCoeficients.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtWilsonCoeficients.o: /usr/include/bits/stdio_lim.h
+EvtWilsonCoeficients.o: /usr/include/bits/sys_errlist.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtWilsonCoeficients.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtWilsonCoeficients.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtWilsonCoeficients.o: /usr/include/libintl.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtWilsonCoeficients.o: /usr/include/pthread.h /usr/include/sched.h
+EvtWilsonCoeficients.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtWilsonCoeficients.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtWilsonCoeficients.o: /usr/include/bits/pthreadtypes.h
+EvtWilsonCoeficients.o: /usr/include/bits/initspin.h
+EvtWilsonCoeficients.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtWilsonCoeficients.o: /usr/include/bits/posix_opt.h
+EvtWilsonCoeficients.o: /usr/include/bits/confname.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtWilsonCoeficients.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/cwchar
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/exception
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/climits
+EvtWilsonCoeficients.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtWilsonCoeficients.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtWilsonCoeficients.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtWilsonCoeficients.o: /usr/include/stdlib.h /usr/include/c++/3.4.6/new
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/cassert /usr/include/assert.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/string
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/memory
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/limits
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/algorithm
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/streambuf
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/locale
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/typeinfo
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/istream
+EvtWilsonCoeficients.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtWilsonCoeficients.o: ../EvtGenModels/EvtWilsonCoeficients.hh
+EvtWilsonCoeficients.o: ../EvtGenBase/EvtComplex.hh /usr/include/math.h
+EvtWilsonCoeficients.o: /usr/include/bits/huge_val.h
+EvtWilsonCoeficients.o: /usr/include/bits/mathdef.h
+EvtWilsonCoeficients.o: /usr/include/bits/mathcalls.h
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/gnu/stubs.h
+EvtY3SToY1SpipiMoxhay.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtVector4R.hh
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/iostream
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/ostream
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/ios
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/iosfwd
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/cstring
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/types.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/wordsize.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtY3SToY1SpipiMoxhay.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/stdio_lim.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/sys_errlist.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/libintl.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/pthread.h /usr/include/sched.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/pthreadtypes.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/initspin.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/posix_opt.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/confname.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/cwchar
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/exception
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/climits
+EvtY3SToY1SpipiMoxhay.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtY3SToY1SpipiMoxhay.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/new
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/cassert
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/string
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/memory
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/limits
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/algorithm
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/streambuf
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/locale
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/typeinfo
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/istream
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtY3SToY1SpipiMoxhay.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/mathdef.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/bits/mathcalls.h
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtComplex.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtConst.hh ../EvtGenBase/EvtId.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtSpinType.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtReport.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtGenKine.hh ../EvtGenBase/EvtPDL.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtPartProp.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/vector
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtStringHash.hh
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/map
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtY3SToY1SpipiMoxhay.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtVector4C.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtVector3C.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtVector3R.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtTensor4C.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenModels/EvtY3SToY1SpipiMoxhay.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtDecayProb.hh
+EvtY3SToY1SpipiMoxhay.o: ../EvtGenBase/EvtDecayBase.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtPatches.hh /usr/include/stdlib.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/features.h /usr/include/sys/cdefs.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/gnu/stubs.h
+EvtYmSToYnSpipiCLEO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stddef.h
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtParticle.hh /usr/include/assert.h
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtVector4R.hh
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/iostream
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++config.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/os_defines.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/ostream
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/ios
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/iosfwd
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++locale.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/cstring
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/cstddef /usr/include/string.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/cstdio /usr/include/stdio.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/types.h /usr/include/bits/wordsize.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/typesizes.h /usr/include/libio.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/_G_config.h /usr/include/wchar.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/wchar.h /usr/include/gconv.h
+EvtYmSToYnSpipiCLEO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/stdarg.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/stdio_lim.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/sys_errlist.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/clocale /usr/include/locale.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/locale.h /usr/include/langinfo.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/nl_types.h /usr/include/iconv.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/libintl.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++io.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/gthr-default.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/pthread.h /usr/include/sched.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/time.h /usr/include/bits/sched.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/signal.h /usr/include/bits/sigset.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/pthreadtypes.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/initspin.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/sigthread.h /usr/include/unistd.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/posix_opt.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/confname.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/cctype /usr/include/ctype.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/endian.h /usr/include/bits/endian.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stringfwd.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/postypes.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/cwchar
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/ctime /usr/include/stdint.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/functexcept.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/exception_defines.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/exception
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/char_traits.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_algobase.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/climits
+EvtYmSToYnSpipiCLEO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/limits.h
+EvtYmSToYnSpipiCLEO.o: /usr/lib/gcc/i386-redhat-linux/3.4.6/include/syslimits.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/limits.h /usr/include/c++/3.4.6/cstdlib
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/new
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_pair.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/type_traits.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_types.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_iterator_base_funcs.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/concept_check.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_iterator.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/debug/debug.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/cassert
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/localefwd.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/ios_base.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/atomicity.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/atomic_word.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/locale_classes.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/string
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/memory
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/allocator.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/c++allocator.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/ext/new_allocator.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_construct.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_uninitialized.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_raw_storage_iter.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/limits
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_function.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/basic_string.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/algorithm
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_algo.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_heap.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_tempbuf.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/basic_string.tcc
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/streambuf
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/streambuf.tcc
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/basic_ios.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/streambuf_iterator.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/locale_facets.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/cwctype /usr/include/wctype.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_base.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/ctype_inline.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/codecvt.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/codecvt_specializations.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/time_members.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/i386-redhat-linux/bits/messages_members.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/basic_ios.tcc
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/ostream.tcc
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/locale
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/locale_facets.tcc
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/typeinfo
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/istream
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/istream.tcc
+EvtYmSToYnSpipiCLEO.o: /usr/include/math.h /usr/include/bits/huge_val.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/mathdef.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/bits/mathcalls.h
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtSpinDensity.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtComplex.hh ../EvtGenBase/EvtConst.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtId.hh ../EvtGenBase/EvtSpinType.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtReport.hh ../EvtGenBase/EvtGenKine.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtPDL.hh ../EvtGenBase/EvtPartProp.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtAbsLineShape.hh
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/vector
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_vector.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_bvector.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/vector.tcc
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtStringHash.hh
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/map
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_tree.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/cpp_type_traits.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_map.h
+EvtYmSToYnSpipiCLEO.o: /usr/include/c++/3.4.6/bits/stl_multimap.h
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtVector4C.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtVector3C.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtVector3R.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtTensor4C.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtRandom.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenModels/EvtYmSToYnSpipiCLEO.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtDecayAmp.hh
+EvtYmSToYnSpipiCLEO.o: ../EvtGenBase/EvtDecayBase.hh ../EvtGenBase/EvtAmp.hh
+rly.o: ../EvtGenBase/EvtRandom.hh
+begevtgenget.o: ../EvtGenModels/stdhep.inc
+begevtgengetx.o: ../EvtGenModels/stdhep.inc
+begevtgenstore.o: ../EvtGenModels/stdhep.inc
+begevtgenstorex.o: ../EvtGenModels/stdhep.inc
+EvtBTo3pi.o: ../EvtGenModels/EvtBTo3pi.inc
+EvtBTo3piMPP.o: ../EvtGenModels/EvtBTo3pi.inc
+EvtBTo3piP00.o: ../EvtGenModels/EvtBTo3pi.inc
+EvtBToKpipi.o: ../EvtGenModels/EvtBTo3pi.inc
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See BelEvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: EvtJetSetInit.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C RS October 28, 2002 copied and modified from Jetset
+C
+C------------------------------------------------------------------------
+ SUBROUTINE EVTPYTHIAINIT(FNAME)
+ IMPLICIT NONE
+ EXTERNAL PYDATA
+
+ CHARACTER*(*) FNAME
+
+ PRINT *,'PYUPDA : : ',FNAME
+ OPEN(54,STATUS='OLD',FILE=FNAME)
+ CALL PYUPDA(3,54)
+ CLOSE(54)
+ WRITE (*,*) 'PYUPDA DONE'
+ RETURN
+ END
+ SUBROUTINE INITPYTHIA(GAGA)
+ IMPLICIT NONE
+ INTEGER PYCOMP
+ EXTERNAL PYDATA,PYCOMP
+ LOGICAL FIRST
+ SAVE FIRST
+ DATA FIRST / .TRUE. /
+ DOUBLE PRECISION MAXIMUM
+ COMMON/CBBEAM/MAXIMUM
+ INTEGER IDC,GAGA
+C...Decay information.
+ INTEGER MDCY,MDME,KFDP
+ DOUBLE PRECISION BRAT
+ COMMON/PYDAT3/MDCY(500,3),MDME(8000,2),BRAT(8000),KFDP(8000,5)
+
+ CHARACTER CH1*16,CH2*16
+
+ INTEGER DC,CDC
+C order of DC is d u s c b t b' t' ...
+C ... e nu_e mu nu_mu tau nu_tau tau' nu_tau'
+ COMMON/DECAYCH/DC(18)
+
+ IF(FIRST) THEN
+ MAXIMUM=10.6
+ WRITE (*,*) "Decay of Z0/gamma to"
+C... Only allow Z0 decay to quarks (i.e. no leptonic final states).
+C RS veto also b quarks
+ DO IDC=MDCY(23,2),MDCY(23,2)+MDCY(23,3)-1
+C first switch channel off
+ MDME(IDC,1)=MIN(0,MDME(IDC,1))
+ CDC=IABS(KFDP(IDC,1))
+C then switch on again if requested
+ CALL PYNAME(CDC,CH1)
+ CALL PYNAME(-CDC,CH2)
+ IF(DC(CDC).EQ.1) THEN
+ MDME(IDC,1)=1
+ WRITE (*,*) " ",ch1,"+ ",ch2," ALLOWED"
+ ELSE
+ WRITE (*,*) " ",ch1,"+ ",ch2," DISABLED"
+ ENDIF
+ ENDDO
+C CALL PYSTAT(2)
+
+ IF(GAGA.EQ.0) THEN
+ CALL PYINIT('CMS','E+','E-',MAXIMUM)
+ ELSE
+ CALL PYINIT('CMS','GAMMA/E+','GAMMA/E-',MAXIMUM)
+ ENDIF
+C CALL PYLIST(0)
+C WRITE (*,*) 'done PYTHIA initialization'//
+C > ' with varying beam energy'
+C WRITE (*,*) 'maximum allowed energy is ',MAXIMUM,' GeV'
+ FIRST=.FALSE.
+ ENDIF
+ RETURN
+ END
+
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See BelEvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: continuum.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C 26-Sep-2002 - RS : changed to PYTHIA
+C
+C------------------------------------------------------------------------
+ SUBROUTINE PYCONTINUUM(ENERGY,NDAUG,KF,PX,PY,PZ,E)
+ IMPLICIT NONE
+ DOUBLE PRECISION MAXIMUM
+ COMMON/CBBEAM/MAXIMUM
+
+ DOUBLE PRECISION P,V
+ COMMON/PYJETS/N,NPAD,K(4000,5),P(4000,5),V(4000,5)
+
+ INTEGER MSTU,MSTJ
+ DOUBLE PRECISION PARU,PARJ
+ COMMON/PYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+
+ INTEGER MSTP,MSTI
+ DOUBLE PRECISION PARP,PARI
+ COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200)
+C...Decay information.
+ INTEGER MDCY,MDME,KFDP
+ DOUBLE PRECISION BRAT
+ COMMON/PYDAT3/MDCY(500,3),MDME(8000,2),BRAT(8000),KFDP(8000,5)
+
+ INTEGER N,NPAD,K,IMSTJ
+
+ REAL*8 PXSUM,PYSUM,PZSUM
+
+ REAL*8 ENERGY
+
+ INTEGER PYCOMP
+ EXTERNAL PYCOMP
+
+ INTEGER KF(100),I,NDAUG
+ REAL*8 PX(100),PY(100),PZ(100),E(100)
+
+C RS Particles should not decay at this stage
+C but remember the previous setting
+ IMSTJ=MSTJ(21)
+ MSTJ(21)=0
+
+C IF(FLAVOR.NE.LastProdFLav) THEN
+C... Only allow Z0 decay to decay to certain flavour
+C DO IDC=MDCY(23,2),MDCY(23,2)+MDCY(23,3)-1
+C IF(IABS(KFDP(IDC,1)).NE.Flavor)
+C > MDME(IDC,1)=MIN(0,MDME(IDC,1))
+C ENDDO
+C ENDIF
+
+ 4 PARP(171)=Energy/Maximum
+ CALL PYEVNT
+
+C--- only primary quarks and stable particles remain in the event record
+ CALL PYEDIT(5)
+
+C RS and allow decays
+ MSTJ(21)=IMSTJ
+
+ NDAUG=0
+C sum to check that we preserve momentum
+ PXSUM=0.0
+ PYSUM=0.0
+ PZSUM=0.0
+
+ DO 1,I=1,N
+ NDAUG=NDAUG+1
+ KF(NDAUG)=K(I,2)
+ PX(NDAUG)=P(I,1)
+ PY(NDAUG)=P(I,2)
+ PZ(NDAUG)=P(I,3)
+ E(NDAUG) =P(I,4)
+ IF(K(I,1).LT.10)THEN
+ PXSUM=PXSUM+PX(NDAUG)
+ PYSUM=PYSUM+PY(NDAUG)
+ PZSUM=PZSUM+PZ(NDAUG)
+ ENDIF
+1 CONTINUE
+
+ IF (ABS(PXSUM).GT.0.001.OR.
+ + ABS(PYSUM).GT.0.001.OR.
+ + ABS(PZSUM).GT.0.001) THEN
+
+
+ PRINT *, 'Momentum not conserved in jetset fragmentation:'
+ PRINT *,'dPx:',pxsum,' dPy:',pysum,' dPz:',pzsum
+
+ CALL PYLIST(2)
+
+ GOTO 4
+
+ ENDIF
+ RETURN
+ END
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See BelEvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: jetset1.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C 26-Sep-2002 - RS : changed to PYTHIA
+C
+C------------------------------------------------------------------------
+ SUBROUTINE PYTHIADEC(IP,M,NDAUG,KF,KM,PX,PY,PZ,E)
+
+C
+C interface to JETSET 7.4 to have one particle decayed
+C including possibly fragmentation, if the decay products include
+C partons.
+C
+ IMPLICIT NONE
+
+ INTEGER MSTU,MSTJ
+ DOUBLE PRECISION PARU,PARJ
+ COMMON/PYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /PYDAT1/
+ DOUBLE PRECISION P,V
+ COMMON/PYJETS/N,NPAD,K(4000,5),P(4000,5),V(4000,5)
+
+ INTEGER N,NPAD,K
+
+ INTEGER NDMAX
+ PARAMETER (NDMAX=100)
+
+ INTEGER PYCOMP
+ EXTERNAL PYCOMP
+
+ INTEGER IP,KF(NDMAX),I,NDAUG,KM(NDMAX)
+ INTEGER KP,KID,IPART1,IPART
+ REAL*8 M,PX(NDMAX),PY(NDMAX),PZ(NDMAX),E(NDMAX)
+
+ INTEGER IP1,IMSTJ
+ DOUBLE PRECISION QMAX
+
+C CALL PY1ENT(1,IP,M,0D0,0D0)
+
+ K(1,1)=1
+ K(1,2)=ip
+ P(1,5)=m
+ P(1,4)=m
+ P(1,1)=0.0
+ P(1,2)=0.0
+ P(1,3)=0.0
+ n=1
+
+C RS Particles should not decay at this stage
+C but remember the previous setting
+ IMSTJ=MSTJ(21)
+ MSTJ(21)=0
+
+ CALL PYDECY(1)
+
+C RS and allow decays
+ MSTJ(21)=IMSTJ
+
+
+
+
+C code copied from LUEXEC to avoid error with shower
+C switched on
+C...Decay products may develop a shower.
+ IF(MSTJ(92).GT.0) THEN
+ IP1=MSTJ(92)
+ QMAX=SQRT(MAX(0.,(P(IP1,4)+P(IP1+1,4))**2-(P(IP1,1)+P(IP1+1,
+ & 1))**2-(P(IP1,2)+P(IP1+1,2))**2-(P(IP1,3)+P(IP1+1,3))**2))
+ CALL PYSHOW(IP1,IP1+1,QMAX)
+ CALL PYPREP(IP1)
+ MSTJ(92)=0
+ ELSEIF(MSTJ(92).LT.0) THEN
+ IP1=-MSTJ(92)
+ CALL PYSHOW(IP1,-3,P(IP,5))
+ CALL PYPREP(IP1)
+ MSTJ(92)=0
+ ENDIF
+
+c
+c for debugging:
+c call lulist(1)
+c
+ mstj(21)=0
+ call pyexec
+ mstj(21)=2
+
+c find partons, delete secondary partons, set mother pointers
+
+ ndaug = 0
+ ipart1 = 1
+ ipart = 1
+
+ do 10 i=2,n
+ kp = k(i,3)
+ kid = k(i,2)
+ if (abs(kid) .ge. 1 .and. abs(kid) .le. 8
+ 1 .or. kid .eq. 21
+ 2 .or. kid .ge. 91 .and. kid .le. 94) then
+ if (ipart1 .eq. 1) ipart1 = i
+ ipart = i
+ if (kp .ne. 1) goto 10
+ kp = 0
+ else
+ if (kp .gt. ipart) then
+ goto 10
+ elseif (kp .ge. ipart1) then
+ kp = ipart1-1
+ else
+ kp = 0
+ endif
+ endif
+ ndaug = ndaug + 1
+ km(ndaug)=kp
+ kf(ndaug)=kid
+ px(ndaug)=p(i,1)
+ py(ndaug)=p(i,2)
+ pz(ndaug)=p(i,3)
+ e(ndaug)=p(i,4)
+
+C print '( 2I5,I12,4F12.4 )',ndaug,km(ndaug),kf(ndaug),
+C 1 px(ndaug),py(ndaug),pz(ndaug),e(ndaug)
+
+ 10 CONTINUE
+
+C NDAUG=0
+C DO I=2,N
+C NDAUG = NDAUG + 1
+C KM(NDAUG)=K(I,3)
+C KF(NDAUG)=K(I,2)
+C PX(NDAUG)=P(I,1)
+C PY(NDAUG)=P(I,2)
+C PZ(NDAUG)=P(I,3)
+C E(NDAUG)=P(I,4)
+C ENDDO
+
+
+ RETURN
+ END
--- /dev/null
+ subroutine begevtgenget(entry,eventnum,numparticle,istat,
+ + partnum,mother,daugfirst,dauglast,
+ + px,py,pz,e,m,x,y,z,t)
+*
+* Copyright Information: See EvtGen/COPYRIGHT
+*
+* routine to read from the stdhep common block from
+* evtgen (C++). This routine allows the C++ program not to
+* have to mess with common blocks.
+*
+* Anders Ryd, Oct 1 Created.
+*
+*
+ implicit none
+#include "EvtGenModels/stdhep.inc"
+
+ integer entry,eventnum,numparticle,istat,partnum
+ integer mother,daugfirst,dauglast
+
+ integer stdhepnum
+
+ double precision px,py,pz,e,m,x,y,z,t
+
+ stdhepnum=partnum
+
+
+
+ eventnum=nevhep
+ numparticle=nhep
+ istat=isthep(entry)
+ stdhepnum=idhep(entry)
+ mother=jmohep(1,entry)
+ daugfirst=jdahep(1,entry)
+ dauglast=jdahep(2,entry)
+ px=phep(1,entry)
+ py=phep(2,entry)
+ pz=phep(3,entry)
+ e=phep(4,entry)
+ m=phep(5,entry)
+ x=vhep(1,entry)
+ y=vhep(2,entry)
+ z=vhep(3,entry)
+ t=vhep(4,entry)
+
+ return
+
+ end
+
+
+
+
+
+
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: begevtgengetx.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine begevtgengetx(entry,eventnum,numparticle,istat,
+ + partnum,mother,daugfirst,dauglast,
+ + px,py,pz,e,m,x,y,z,t)
+*
+* routine to read from the stdhep common block from
+* evtgen (C++). This routine allows the C++ program not to
+* have to mess with common blocks.
+*
+* Anders Ryd, Oct 1 Created.
+*
+*
+ implicit none
+
+C INTEGER NMXHEP
+C PARAMETER (NMXHEP=4000) !!! KRAL - NEW SIZE
+C
+C INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+C real PHEP,VHEP !!! Kral - double precision for STDHEP v3.0
+C COMMON/XHEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+C &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+C SAVE /XHEPEVT/
+
+#include "EvtGenModels/stdhep.inc"
+
+ integer entry,eventnum,numparticle,istat,partnum
+ integer mother,daugfirst,dauglast
+
+ integer stdhepnum
+
+ double precision px,py,pz,e,m,x,y,z,t
+
+ stdhepnum=partnum
+
+
+
+ eventnum=nevhep
+ numparticle=nhep
+ istat=isthep(entry)
+ stdhepnum=idhep(entry)
+ mother=jmohep(1,entry)
+ daugfirst=jdahep(1,entry)
+ dauglast=jdahep(2,entry)
+ px=phep(1,entry)
+ py=phep(2,entry)
+ pz=phep(3,entry)
+ e=phep(4,entry)
+ m=phep(5,entry)
+ x=vhep(1,entry)
+ y=vhep(2,entry)
+ z=vhep(3,entry)
+ t=vhep(4,entry)
+
+ return
+
+ end
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: begevtgenstore.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine begevtgenstore(nument,eventnum,numparticle,istat,
+ + partnum,motherfirst,motherlast,
+ + daugfirst,dauglast,
+ + px,py,pz,e,m,x,y,z,t)
+*
+* routine to fill the stdhep common blocks from
+* evtgen (C++). This routine allows the C++ program not to
+* have to mess with common blocks.
+*
+* Anders Ryd, Dec 96 Created.
+*
+*
+ implicit none
+#include "EvtGenModels/stdhep.inc"
+
+ integer nument,eventnum,numparticle,istat,partnum
+ integer motherfirst,motherlast,daugfirst,dauglast
+
+ integer stdhepnum
+
+ double precision px,py,pz,e,m,x,y,z,t
+
+ stdhepnum=partnum
+
+ if (istat.eq.1) then
+
+c make the quarks unstable so that geant will not try
+c to put them through the detector simulation!
+
+ if (
+ + stdhepnum.eq.-1.or.
+ + stdhepnum.eq. 1.or.
+ + stdhepnum.eq.-2.or.
+ + stdhepnum.eq. 2.or.
+ + stdhepnum.eq.-3.or.
+ + stdhepnum.eq. 3.or.
+ + stdhepnum.eq.-4.or.
+ + stdhepnum.eq. 4.or.
+ + stdhepnum.eq.-5.or.
+ + stdhepnum.eq. 5.or.
+ + stdhepnum.eq.-6.or.
+ + stdhepnum.eq. 6) then
+ istat=2
+ endif
+
+
+
+
+c if (
+c + stdhepnum.ne.-1.and.
+c + stdhepnum.ne. 1.and.
+c + stdhepnum.ne.-2.and.
+c + stdhepnum.ne. 2.and.
+c + stdhepnum.ne.-3.and.
+c + stdhepnum.ne. 3.and.
+c + stdhepnum.ne.-4.and.
+c + stdhepnum.ne. 4.and.
+c + stdhepnum.ne.-5.and.
+c + stdhepnum.ne. 5.and.
+c + stdhepnum.ne.-6.and.
+c + stdhepnum.ne. 6.and.
+c + stdhepnum.ne.-11.and.
+c + stdhepnum.ne.11.and.
+c + stdhepnum.ne.-13.and.
+c + stdhepnum.ne.13.and.
+c + stdhepnum.ne.12.and.
+c + stdhepnum.ne.-12.and.
+c + stdhepnum.ne.14.and.
+c + stdhepnum.ne.-14.and.
+c + stdhepnum.ne.16.and.
+c + stdhepnum.ne.-16.and.
+c + stdhepnum.ne.2212.and.
+c + stdhepnum.ne.-2212.and.
+c + stdhepnum.ne.2112.and.
+c + stdhepnum.ne.-2112.and.
+c + stdhepnum.ne.211.and.
+c + stdhepnum.ne.-211.and.
+c + stdhepnum.ne.321.and.
+c + stdhepnum.ne.-321.and.
+c + stdhepnum.ne.130.and.
+c + stdhepnum.ne.310.and.
+c + stdhepnum.ne.22) then
+c
+c print *,'particle stdhep:',stdhepnum,' is stable'
+c
+c endif
+
+ endif
+
+ nevhep=eventnum
+ nhep=numparticle
+ isthep(nument)=istat
+ idhep(nument)=stdhepnum
+ jmohep(1,nument)=motherfirst
+ jmohep(2,nument)=motherlast
+ jdahep(1,nument)=daugfirst
+ jdahep(2,nument)=dauglast
+ phep(1,nument)=px
+ phep(2,nument)=py
+ phep(3,nument)=pz
+ phep(4,nument)=e
+ phep(5,nument)=m
+ vhep(1,nument)=x
+ vhep(2,nument)=y
+ vhep(3,nument)=z
+ vhep(4,nument)=t
+
+ return
+
+ end
+
+
+
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: begevtgenstorex.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine begevtgenstorex(entry,eventnum,numparticle,istat,
+ + partnum,mother,daugfirst,dauglast,
+ + px,py,pz,e,m,x,y,z,t)
+ implicit none
+*
+* routine to fill the stdhep common blocks from
+* evtgen (C++). This routine allows the C++ program not to
+* have to mess with common blocks.
+*
+* Anders Ryd, Dec 96 Created.
+*
+*
+#include "EvtGenModels/stdhep.inc"
+
+ logical qedrad
+ integer ph_nmxhep ! this is parameter nmxhep in photos/photos_make
+* ! Renamed here to avoid name conflict in stdhep.inc
+ parameter (ph_nmxhep=10000)
+ common / phoqed / qedrad(ph_nmxhep)
+
+ integer entry,eventnum,numparticle,istat,partnum
+ integer mother,daugfirst,dauglast
+ integer stdhepnum, i
+ double precision px,py,pz,e,m,x,y,z,t
+
+ stdhepnum=partnum
+
+ nevhep=eventnum
+ nhep=numparticle
+ isthep(entry)=istat
+ idhep(entry)=stdhepnum
+ jmohep(1,entry)=mother
+ jmohep(2,entry)=0
+ jdahep(1,entry)=daugfirst
+ jdahep(2,entry)=dauglast
+ phep(1,entry)=px
+ phep(2,entry)=py
+ phep(3,entry)=pz
+ phep(4,entry)=e
+ phep(5,entry)=m
+ vhep(1,entry)=x
+ vhep(2,entry)=y
+ vhep(3,entry)=z
+ vhep(4,entry)=t
+
+ qedrad(entry)=.true.
+ if (daugfirst.gt.0 .and. dauglast.gt.0) THEN
+ do i=daugfirst, dauglast
+ qedrad(i) = .true.
+ end do
+ end if
+
+ return
+
+ end
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: continuum.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine continuum(energy,flavor,ndaug,kf,px,py,pz,e)
+
+ implicit none
+
+ common/lujets/n,k(4000,5),p(4000,5),v(4000,5)
+
+ integer n,k
+ real p,v
+
+ real*8 pxsum,pysum,pzsum
+
+ real*8 energy
+
+ real senergy
+
+ integer lucomp
+ external lucomp
+
+ integer flavor,kf(100),i,ndaug,istart
+ real*8 px(100),py(100),pz(100),e(100)
+
+ senergy=energy
+
+C if(flavor.ne.0) kf_user=flavor
+C flavor = kf_user
+
+
+C call lueevt(kf_user,senergy) ! e+e- --> qq shower parton model
+ 4 call lueevt(flavor,senergy) ! e+e- --> qq shower parton model
+
+C call lulist(1)
+
+ ndaug=0
+
+C--- Save the primary quarks
+
+ do 1,i=1,n
+ if(abs(k(i,2)).gt.6) goto 1
+ if(k(i,2).eq.0) goto 1
+ if(k(i,3).ne.0) goto 1
+ ndaug=ndaug+1
+ kf(ndaug)=k(i,2)
+ px(ndaug)=p(i,1)
+ py(ndaug)=p(i,2)
+ pz(ndaug)=p(i,3)
+ e(ndaug) =p(i,4)
+1 continue
+
+C sum to check that we preserve momentum
+ pxsum=0.0
+ pysum=0.0
+ pzsum=0.0
+
+ istart=0
+
+ do 2, i=1,n
+ if(k(i,3).le.0.and.k(i,2).ne.22) goto 2
+c if particle is jet or cluster
+
+ if (k(i,2).eq.22.and.istart.eq.0) goto 22
+ if ( k(i,3).le.0) goto 2
+
+ if(k(k(i,3),2).eq.92.or.k(k(i,3),2).eq.91) goto 22
+
+ goto 2
+
+ 22 continue
+C Copy particle. If parent is cluster or string or photon if
+C before first cluster or string. Uggly...
+ if (k(i,2).ne.22) istart=1
+ ndaug = ndaug + 1
+ kf(ndaug)=k(i,2)
+ px(ndaug)=p(i,1)
+ py(ndaug)=p(i,2)
+ pz(ndaug)=p(i,3)
+ pxsum=pxsum+px(ndaug)
+ pysum=pysum+py(ndaug)
+ pzsum=pzsum+pz(ndaug)
+ e(ndaug) =p(i,4)
+ 2 continue
+
+
+ if (abs(pxsum).gt.0.001.or.
+ + abs(pysum).gt.0.001.or.
+ + abs(pzsum).gt.0.001) then
+
+
+ print *, 'Momentum not conserved in jetset fragmentation:'
+ print *,'dPx:',pxsum,' dPy:',pysum,' dPz:',pzsum
+
+ call lulist(1)
+
+ goto 4
+
+ endif
+
+ return
+ end
+
+
+
+
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: continuum.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine continuumcdf(energy,flavor,ndaug,kf,px,py,pz,e)
+
+ implicit none
+
+ common/lyjets/n,k(4000,5),p(4000,5),v(4000,5)
+
+ integer n,k
+ real p,v
+
+ real*8 pxsum,pysum,pzsum
+
+ real*8 energy
+
+ real senergy
+
+ integer lycomp
+ external lycomp
+
+ integer flavor,kf(100),i,ndaug,istart
+ real*8 px(100),py(100),pz(100),e(100)
+
+ senergy=energy
+
+C if(flavor.ne.0) kf_user=flavor
+C flavor = kf_user
+
+
+C call lyeevt(kf_user,senergy) ! e+e- --> qq shower parton model
+ 4 call lyeevt(flavor,senergy) ! e+e- --> qq shower parton model
+
+C call lylist(1)
+
+ ndaug=0
+
+C--- Save the primary quarks
+
+ do 1,i=1,n
+ if(abs(k(i,2)).gt.6) goto 1
+ if(k(i,2).eq.0) goto 1
+ if(k(i,3).ne.0) goto 1
+ ndaug=ndaug+1
+ kf(ndaug)=k(i,2)
+ px(ndaug)=p(i,1)
+ py(ndaug)=p(i,2)
+ pz(ndaug)=p(i,3)
+ e(ndaug) =p(i,4)
+1 continue
+
+C sum to check that we preserve momentum
+ pxsum=0.0
+ pysum=0.0
+ pzsum=0.0
+
+ istart=0
+
+ do 2, i=1,n
+ if(k(i,3).le.0.and.k(i,2).ne.22) goto 2
+c if particle is jet or cluster
+
+ if (k(i,2).eq.22.and.istart.eq.0) goto 22
+ if ( k(i,3).le.0) goto 2
+
+ if(k(k(i,3),2).eq.92.or.k(k(i,3),2).eq.91) goto 22
+
+ goto 2
+
+ 22 continue
+C Copy particle. If parent is cluster or string or photon if
+C before first cluster or string. Uggly...
+ if (k(i,2).ne.22) istart=1
+ ndaug = ndaug + 1
+ kf(ndaug)=k(i,2)
+ px(ndaug)=p(i,1)
+ py(ndaug)=p(i,2)
+ pz(ndaug)=p(i,3)
+ pxsum=pxsum+px(ndaug)
+ pysum=pysum+py(ndaug)
+ pzsum=pzsum+pz(ndaug)
+ e(ndaug) =p(i,4)
+ 2 continue
+
+
+ if (abs(pxsum).gt.0.001.or.
+ + abs(pysum).gt.0.001.or.
+ + abs(pzsum).gt.0.001) then
+
+
+ print *, 'Momentum not conserved in jetset fragmentation:'
+ print *,'dPx:',pxsum,' dPy:',pysum,' dPz:',pzsum
+
+ call lylist(1)
+
+ goto 4
+
+ endif
+
+ return
+ end
+
+
+
+
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: jetset1.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine jetset1(ip,m,ndaug,kf,km,px,py,pz,e)
+
+C
+C interface to JETSET 7.4 to have one particle decayed
+C including possibly fragmentation, if the decay products include
+C partons.
+C
+
+ implicit none
+
+ INTEGER MSTU,MSTJ
+ REAL PARU,PARJ
+ COMMON/LUDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LUDAT1/
+
+ common/lujets/n,k(4000,5),p(4000,5),v(4000,5)
+
+ integer n,k
+ real p,v
+
+ integer ndmax
+ parameter (ndmax=100)
+
+ integer lucomp
+ external lucomp
+
+ integer ip,kf(ndmax),i,ndaug,km(ndmax)
+ integer kp,kid,ipart1,ipart
+ real*8 m,px(ndmax),py(ndmax),pz(ndmax),e(ndmax)
+
+ integer ip1
+ real qmax
+
+c used to use lu1ent both since it does not set the mass
+c of the daughter we have to manipulate the common blocks our
+c self. ryd April 25-1999
+
+c call lu1ent(1,ip,0.0,0.0,0.0)
+
+ K(1,1)=1
+ K(1,2)=ip
+ P(1,5)=m
+ P(1,4)=m
+ P(1,1)=0.0
+ P(1,2)=0.0
+ P(1,3)=0.0
+ n=1
+
+
+c now we can decay this particle
+ call ludecy(1)
+
+C code copied from LUEXEC to avoid error with shower
+C switched on
+C...Decay products may develop a shower.
+ IF(MSTJ(92).GT.0) THEN
+ IP1=MSTJ(92)
+ QMAX=SQRT(MAX(0.,(P(IP1,4)+P(IP1+1,4))**2-(P(IP1,1)+P(IP1+1,
+ & 1))**2-(P(IP1,2)+P(IP1+1,2))**2-(P(IP1,3)+P(IP1+1,3))**2))
+ CALL LUSHOW(IP1,IP1+1,QMAX)
+ CALL LUPREP(IP1)
+ MSTJ(92)=0
+ ELSEIF(MSTJ(92).LT.0) THEN
+ IP1=-MSTJ(92)
+ CALL LUSHOW(IP1,-3,P(IP1,5))
+ CALL LUPREP(IP1)
+ MSTJ(92)=0
+ ENDIF
+
+c
+c for debugging:
+c call lulist(1)
+c
+ mstj(21)=0
+ call luexec
+ mstj(21)=2
+
+c find partons, delete secondary partons, set mother pointers
+
+ ndaug = 0
+ ipart1 = 1
+ ipart = 1
+
+ do 10 i=2,n
+ kp = k(i,3)
+ kid = k(i,2)
+ if (abs(kid) .ge. 1 .and. abs(kid) .le. 8
+ 1 .or. kid .eq. 21
+ 2 .or. kid .ge. 91 .and. kid .le. 94) then
+ if (ipart1 .eq. 1) ipart1 = i
+ ipart = i
+ if (kp .ne. 1) goto 10
+ kp = 0
+ else
+ if (kp .gt. ipart) then
+ goto 10
+ elseif (kp .ge. ipart1) then
+ kp = ipart1-1
+ else
+ kp = 0
+ endif
+ endif
+ ndaug = ndaug + 1
+ km(ndaug)=kp
+ kf(ndaug)=kid
+ px(ndaug)=p(i,1)
+ py(ndaug)=p(i,2)
+ pz(ndaug)=p(i,3)
+ e(ndaug)=p(i,4)
+c
+c for debugging:
+c print '( 2I5,I12,4F12.4 )',ndaug,km(ndaug),kf(ndaug),
+c 1 px(ndaug),py(ndaug),pz(ndaug),e(ndaug)
+c
+ 10 continue
+
+ end
+
+
--- /dev/null
+C*********************************************************************
+C* This version of Jetset 7.4 was altered by
+C*
+C* Frank Wuerthwein (fkw@fnal.gov) 3/22/00
+C*
+C* to be compatible with Pythia 6.115 .
+C* Changes are in LYGIVE to adjust common blocks to PYTHIA 6.115
+C* This involves array sizes, double precision, and some rearrangement
+C* of common block content for the common blocks:
+C* PYSUBS, PYPARS, PYINT1,2,3,4,5,6,7
+C* LYLOGO is only affected by the switch to DOUBLE PRECISION.
+C*
+C* The switch to double precission is implemented such that only the
+C* REAL 's in PYxxxx commons are explicitly defined as DOUPLE PRECISION.
+C* All of Jetset remains REAL rather than DOUBLE PRECISION .
+C*
+C* WARNING
+C*
+C* All common blocks and symbol names were renamed to avoid possible
+C* conflicts with other instances of JETSET (J. Beringer, 4/6/2006).
+C*
+C*********************************************************************
+C* **
+C* December 1993 **
+C* **
+C* The Lund Monte Carlo for Jet Fragmentation and e+e- Physics **
+C* **
+C* JETSET version 7.4 **
+C* **
+C* Torbjorn Sjostrand **
+C* Department of theoretical physics 2 **
+C* University of Lund **
+C* Solvegatan 14A, S-223 62 Lund, Sweden **
+C* E-mail torbjorn@thep.lu.se **
+C* phone +46 - 46 - 222 48 16 **
+C* **
+C* LYSHOW is written together with Mats Bengtsson **
+C* **
+C* The latest program version and documentation is found on WWW **
+C* http://thep.lu.se/tf2/staff/torbjorn/Welcome.html **
+C* **
+C* Copyright Torbjorn Sjostrand and CERN, Geneva 1993 **
+C* **
+C*********************************************************************
+C*********************************************************************
+C *
+C List of subprograms in order of appearance, with main purpose *
+C (S = subroutine, F = function, B = block data) *
+C *
+C S LY1ENT to fill one entry (= parton or particle) *
+C S LY2ENT to fill two entries *
+C S LY3ENT to fill three entries *
+C S LY4ENT to fill four entries *
+C S LYJOIN to connect entries with colour flow information *
+C S LYGIVE to fill (or query) commonblock variables *
+C S LYEXEC to administrate fragmentation and decay chain *
+C S LYPREP to rearrange showered partons along strings *
+C S LYSTRF to do string fragmentation of jet system *
+C S LYINDF to do independent fragmentation of one or many jets *
+C S LYDECY to do the decay of a particle *
+C S LYKFDI to select parton and hadron flavours in fragm *
+C S LYPTDI to select transverse momenta in fragm *
+C S LYZDIS to select longitudinal scaling variable in fragm *
+C S LYSHOW to do timelike parton shower evolution *
+C S LYBOEI to include Bose-Einstein effects (crudely) *
+C F UYMASS to give the mass of a particle or parton *
+C S LYNAME to give the name of a particle or parton *
+C F LYCHGE to give three times the electric charge *
+C F LYCOMP to compress standard KF flavour code to internal KC *
+C S LYERRM to write error messages and abort faulty run *
+C F UYALEM to give the alpha_electromagnetic value *
+C F UYALPS to give the alpha_strong value *
+C F UYANGL to give the angle from known x and y components *
+C F RLY to provide a random number generator *
+C S RLYGET to save the state of the random number generator *
+C S RLYSET to set the state of the random number generator *
+C S LYROBO to rotate and/or boost an event *
+C S LYEDIT to remove unwanted entries from record *
+C S LYLIST to list event record or particle data *
+C S LYLOGO to write a logo for JETSET and PYTHIA *
+C S LYUPDA to update particle data *
+C F KLY to provide integer-valued event information *
+C F PLY to provide real-valued event information *
+C S LYSPHE to perform sphericity analysis *
+C S LYTHRU to perform thrust analysis *
+C S LYCLUS to perform three-dimensional cluster analysis *
+C S LYCELL to perform cluster analysis in (eta, phi, E_T) *
+C S LYJMAS to give high and low jet mass of event *
+C S LYFOWO to give Fox-Wolfram moments *
+C S LYTABU to analyze events, with tabular output *
+C *
+C S LYEEVT to administrate the generation of an e+e- event *
+C S LYXTOT to give the total cross-section at given CM energy *
+C S LYRADK to generate initial state photon radiation *
+C S LYXKFL to select flavour of primary qqbar pair *
+C S LYXJET to select (matrix element) jet multiplicity *
+C S LYX3JT to select kinematics of three-jet event *
+C S LYX4JT to select kinematics of four-jet event *
+C S LYXDIF to select angular orientation of event *
+C S LYONIA to perform generation of onium decay to gluons *
+C *
+C S LYHEPC to convert between /LYJETS/ and /XHEPEVT/ records *
+C S LYTEST to test the proper functioning of the package *
+C B LYDATA to contain default values and particle data *
+C *
+C*********************************************************************
+
+ SUBROUTINE LY1ENT(IP,KF,PE,THE,PHI)
+
+C...Purpose: to store one parton/particle in commonblock LUJETS.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Standard checks.
+ MSTU(28)=0
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ IPA=MAX(1,IABS(IP))
+ IF(IPA.GT.MSTU(4)) CALL LYERRM(21,
+ &'(LY1ENT:) writing outside LUJETS memory')
+ KC=LYCOMP(KF)
+ IF(KC.EQ.0) CALL LYERRM(12,'(LY1ENT:) unknown flavour code')
+
+C...Find mass. Reset K, P and V vectors.
+ PM=0.
+ IF(MSTU(10).EQ.1) PM=P(IPA,5)
+ IF(MSTU(10).GE.2) PM=UYMASS(KF)
+ DO 100 J=1,5
+ K(IPA,J)=0
+ P(IPA,J)=0.
+ V(IPA,J)=0.
+ 100 CONTINUE
+
+C...Store parton/particle in K and P vectors.
+ K(IPA,1)=1
+ IF(IP.LT.0) K(IPA,1)=2
+ K(IPA,2)=KF
+ P(IPA,5)=PM
+ P(IPA,4)=MAX(PE,PM)
+ PA=SQRT(P(IPA,4)**2-P(IPA,5)**2)
+ P(IPA,1)=PA*SIN(THE)*COS(PHI)
+ P(IPA,2)=PA*SIN(THE)*SIN(PHI)
+ P(IPA,3)=PA*COS(THE)
+
+C...Set N. Optionally fragment/decay.
+ N=IPA
+ IF(IP.EQ.0) CALL LYEXEC
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LY2ENT(IP,KF1,KF2,PECM)
+
+C...Purpose: to store two partons/particles in their CM frame,
+C...with the first along the +z axis.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Standard checks.
+ MSTU(28)=0
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ IPA=MAX(1,IABS(IP))
+ IF(IPA.GT.MSTU(4)-1) CALL LYERRM(21,
+ &'(LY2ENT:) writing outside LUJETS memory')
+ KC1=LYCOMP(KF1)
+ KC2=LYCOMP(KF2)
+ IF(KC1.EQ.0.OR.KC2.EQ.0) CALL LYERRM(12,
+ &'(LY2ENT:) unknown flavour code')
+
+C...Find masses. Reset K, P and V vectors.
+ PM1=0.
+ IF(MSTU(10).EQ.1) PM1=P(IPA,5)
+ IF(MSTU(10).GE.2) PM1=UYMASS(KF1)
+ PM2=0.
+ IF(MSTU(10).EQ.1) PM2=P(IPA+1,5)
+ IF(MSTU(10).GE.2) PM2=UYMASS(KF2)
+ DO 110 I=IPA,IPA+1
+ DO 100 J=1,5
+ K(I,J)=0
+ P(I,J)=0.
+ V(I,J)=0.
+ 100 CONTINUE
+ 110 CONTINUE
+
+C...Check flavours.
+ KQ1=KCHG(KC1,2)*ISIGN(1,KF1)
+ KQ2=KCHG(KC2,2)*ISIGN(1,KF2)
+ IF(MSTU(19).EQ.1) THEN
+ MSTU(19)=0
+ ELSE
+ IF(KQ1+KQ2.NE.0.AND.KQ1+KQ2.NE.4) CALL LYERRM(2,
+ & '(LY2ENT:) unphysical flavour combination')
+ ENDIF
+ K(IPA,2)=KF1
+ K(IPA+1,2)=KF2
+
+C...Store partons/particles in K vectors for normal case.
+ IF(IP.GE.0) THEN
+ K(IPA,1)=1
+ IF(KQ1.NE.0.AND.KQ2.NE.0) K(IPA,1)=2
+ K(IPA+1,1)=1
+
+C...Store partons in K vectors for parton shower evolution.
+ ELSE
+ K(IPA,1)=3
+ K(IPA+1,1)=3
+ K(IPA,4)=MSTU(5)*(IPA+1)
+ K(IPA,5)=K(IPA,4)
+ K(IPA+1,4)=MSTU(5)*IPA
+ K(IPA+1,5)=K(IPA+1,4)
+ ENDIF
+
+C...Check kinematics and store partons/particles in P vectors.
+ IF(PECM.LE.PM1+PM2) CALL LYERRM(13,
+ &'(LY2ENT:) energy smaller than sum of masses')
+ PA=SQRT(MAX(0.,(PECM**2-PM1**2-PM2**2)**2-(2.*PM1*PM2)**2))/
+ &(2.*PECM)
+ P(IPA,3)=PA
+ P(IPA,4)=SQRT(PM1**2+PA**2)
+ P(IPA,5)=PM1
+ P(IPA+1,3)=-PA
+ P(IPA+1,4)=SQRT(PM2**2+PA**2)
+ P(IPA+1,5)=PM2
+
+C...Set N. Optionally fragment/decay.
+ N=IPA+1
+ IF(IP.EQ.0) CALL LYEXEC
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LY3ENT(IP,KF1,KF2,KF3,PECM,X1,X3)
+
+C...Purpose: to store three partons or particles in their CM frame,
+C...with the first along the +z axis and the third in the (x,z)
+C...plane with x > 0.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Standard checks.
+ MSTU(28)=0
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ IPA=MAX(1,IABS(IP))
+ IF(IPA.GT.MSTU(4)-2) CALL LYERRM(21,
+ &'(LY3ENT:) writing outside LUJETS memory')
+ KC1=LYCOMP(KF1)
+ KC2=LYCOMP(KF2)
+ KC3=LYCOMP(KF3)
+ IF(KC1.EQ.0.OR.KC2.EQ.0.OR.KC3.EQ.0) CALL LYERRM(12,
+ &'(LY3ENT:) unknown flavour code')
+
+C...Find masses. Reset K, P and V vectors.
+ PM1=0.
+ IF(MSTU(10).EQ.1) PM1=P(IPA,5)
+ IF(MSTU(10).GE.2) PM1=UYMASS(KF1)
+ PM2=0.
+ IF(MSTU(10).EQ.1) PM2=P(IPA+1,5)
+ IF(MSTU(10).GE.2) PM2=UYMASS(KF2)
+ PM3=0.
+ IF(MSTU(10).EQ.1) PM3=P(IPA+2,5)
+ IF(MSTU(10).GE.2) PM3=UYMASS(KF3)
+ DO 110 I=IPA,IPA+2
+ DO 100 J=1,5
+ K(I,J)=0
+ P(I,J)=0.
+ V(I,J)=0.
+ 100 CONTINUE
+ 110 CONTINUE
+
+C...Check flavours.
+ KQ1=KCHG(KC1,2)*ISIGN(1,KF1)
+ KQ2=KCHG(KC2,2)*ISIGN(1,KF2)
+ KQ3=KCHG(KC3,2)*ISIGN(1,KF3)
+ IF(MSTU(19).EQ.1) THEN
+ MSTU(19)=0
+ ELSEIF(KQ1.EQ.0.AND.KQ2.EQ.0.AND.KQ3.EQ.0) THEN
+ ELSEIF(KQ1.NE.0.AND.KQ2.EQ.2.AND.(KQ1+KQ3.EQ.0.OR.
+ &KQ1+KQ3.EQ.4)) THEN
+ ELSE
+ CALL LYERRM(2,'(LY3ENT:) unphysical flavour combination')
+ ENDIF
+ K(IPA,2)=KF1
+ K(IPA+1,2)=KF2
+ K(IPA+2,2)=KF3
+
+C...Store partons/particles in K vectors for normal case.
+ IF(IP.GE.0) THEN
+ K(IPA,1)=1
+ IF(KQ1.NE.0.AND.(KQ2.NE.0.OR.KQ3.NE.0)) K(IPA,1)=2
+ K(IPA+1,1)=1
+ IF(KQ2.NE.0.AND.KQ3.NE.0) K(IPA+1,1)=2
+ K(IPA+2,1)=1
+
+C...Store partons in K vectors for parton shower evolution.
+ ELSE
+ K(IPA,1)=3
+ K(IPA+1,1)=3
+ K(IPA+2,1)=3
+ KCS=4
+ IF(KQ1.EQ.-1) KCS=5
+ K(IPA,KCS)=MSTU(5)*(IPA+1)
+ K(IPA,9-KCS)=MSTU(5)*(IPA+2)
+ K(IPA+1,KCS)=MSTU(5)*(IPA+2)
+ K(IPA+1,9-KCS)=MSTU(5)*IPA
+ K(IPA+2,KCS)=MSTU(5)*IPA
+ K(IPA+2,9-KCS)=MSTU(5)*(IPA+1)
+ ENDIF
+
+C...Check kinematics.
+ MKERR=0
+ IF(0.5*X1*PECM.LE.PM1.OR.0.5*(2.-X1-X3)*PECM.LE.PM2.OR.
+ &0.5*X3*PECM.LE.PM3) MKERR=1
+ PA1=SQRT(MAX(1E-10,(0.5*X1*PECM)**2-PM1**2))
+ PA2=SQRT(MAX(1E-10,(0.5*(2.-X1-X3)*PECM)**2-PM2**2))
+ PA3=SQRT(MAX(1E-10,(0.5*X3*PECM)**2-PM3**2))
+ CTHE2=(PA3**2-PA1**2-PA2**2)/(2.*PA1*PA2)
+ CTHE3=(PA2**2-PA1**2-PA3**2)/(2.*PA1*PA3)
+ IF(ABS(CTHE2).GE.1.001.OR.ABS(CTHE3).GE.1.001) MKERR=1
+ CTHE3=MAX(-1.,MIN(1.,CTHE3))
+ IF(MKERR.NE.0) CALL LYERRM(13,
+ &'(LY3ENT:) unphysical kinematical variable setup')
+
+C...Store partons/particles in P vectors.
+ P(IPA,3)=PA1
+ P(IPA,4)=SQRT(PA1**2+PM1**2)
+ P(IPA,5)=PM1
+ P(IPA+2,1)=PA3*SQRT(1.-CTHE3**2)
+ P(IPA+2,3)=PA3*CTHE3
+ P(IPA+2,4)=SQRT(PA3**2+PM3**2)
+ P(IPA+2,5)=PM3
+ P(IPA+1,1)=-P(IPA+2,1)
+ P(IPA+1,3)=-P(IPA,3)-P(IPA+2,3)
+ P(IPA+1,4)=SQRT(P(IPA+1,1)**2+P(IPA+1,3)**2+PM2**2)
+ P(IPA+1,5)=PM2
+
+C...Set N. Optionally fragment/decay.
+ N=IPA+2
+ IF(IP.EQ.0) CALL LYEXEC
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LY4ENT(IP,KF1,KF2,KF3,KF4,PECM,X1,X2,X4,X12,X14)
+
+C...Purpose: to store four partons or particles in their CM frame, with
+C...the first along the +z axis, the last in the xz plane with x > 0
+C...and the second having y < 0 and y > 0 with equal probability.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Standard checks.
+ MSTU(28)=0
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ IPA=MAX(1,IABS(IP))
+ IF(IPA.GT.MSTU(4)-3) CALL LYERRM(21,
+ &'(LY4ENT:) writing outside LUJETS momory')
+ KC1=LYCOMP(KF1)
+ KC2=LYCOMP(KF2)
+ KC3=LYCOMP(KF3)
+ KC4=LYCOMP(KF4)
+ IF(KC1.EQ.0.OR.KC2.EQ.0.OR.KC3.EQ.0.OR.KC4.EQ.0) CALL LYERRM(12,
+ &'(LY4ENT:) unknown flavour code')
+
+C...Find masses. Reset K, P and V vectors.
+ PM1=0.
+ IF(MSTU(10).EQ.1) PM1=P(IPA,5)
+ IF(MSTU(10).GE.2) PM1=UYMASS(KF1)
+ PM2=0.
+ IF(MSTU(10).EQ.1) PM2=P(IPA+1,5)
+ IF(MSTU(10).GE.2) PM2=UYMASS(KF2)
+ PM3=0.
+ IF(MSTU(10).EQ.1) PM3=P(IPA+2,5)
+ IF(MSTU(10).GE.2) PM3=UYMASS(KF3)
+ PM4=0.
+ IF(MSTU(10).EQ.1) PM4=P(IPA+3,5)
+ IF(MSTU(10).GE.2) PM4=UYMASS(KF4)
+ DO 110 I=IPA,IPA+3
+ DO 100 J=1,5
+ K(I,J)=0
+ P(I,J)=0.
+ V(I,J)=0.
+ 100 CONTINUE
+ 110 CONTINUE
+
+C...Check flavours.
+ KQ1=KCHG(KC1,2)*ISIGN(1,KF1)
+ KQ2=KCHG(KC2,2)*ISIGN(1,KF2)
+ KQ3=KCHG(KC3,2)*ISIGN(1,KF3)
+ KQ4=KCHG(KC4,2)*ISIGN(1,KF4)
+ IF(MSTU(19).EQ.1) THEN
+ MSTU(19)=0
+ ELSEIF(KQ1.EQ.0.AND.KQ2.EQ.0.AND.KQ3.EQ.0.AND.KQ4.EQ.0) THEN
+ ELSEIF(KQ1.NE.0.AND.KQ2.EQ.2.AND.KQ3.EQ.2.AND.(KQ1+KQ4.EQ.0.OR.
+ &KQ1+KQ4.EQ.4)) THEN
+ ELSEIF(KQ1.NE.0.AND.KQ1+KQ2.EQ.0.AND.KQ3.NE.0.AND.KQ3+KQ4.EQ.0.)
+ &THEN
+ ELSE
+ CALL LYERRM(2,'(LY4ENT:) unphysical flavour combination')
+ ENDIF
+ K(IPA,2)=KF1
+ K(IPA+1,2)=KF2
+ K(IPA+2,2)=KF3
+ K(IPA+3,2)=KF4
+
+C...Store partons/particles in K vectors for normal case.
+ IF(IP.GE.0) THEN
+ K(IPA,1)=1
+ IF(KQ1.NE.0.AND.(KQ2.NE.0.OR.KQ3.NE.0.OR.KQ4.NE.0)) K(IPA,1)=2
+ K(IPA+1,1)=1
+ IF(KQ2.NE.0.AND.KQ1+KQ2.NE.0.AND.(KQ3.NE.0.OR.KQ4.NE.0))
+ & K(IPA+1,1)=2
+ K(IPA+2,1)=1
+ IF(KQ3.NE.0.AND.KQ4.NE.0) K(IPA+2,1)=2
+ K(IPA+3,1)=1
+
+C...Store partons for parton shower evolution from q-g-g-qbar or
+C...g-g-g-g event.
+ ELSEIF(KQ1+KQ2.NE.0) THEN
+ K(IPA,1)=3
+ K(IPA+1,1)=3
+ K(IPA+2,1)=3
+ K(IPA+3,1)=3
+ KCS=4
+ IF(KQ1.EQ.-1) KCS=5
+ K(IPA,KCS)=MSTU(5)*(IPA+1)
+ K(IPA,9-KCS)=MSTU(5)*(IPA+3)
+ K(IPA+1,KCS)=MSTU(5)*(IPA+2)
+ K(IPA+1,9-KCS)=MSTU(5)*IPA
+ K(IPA+2,KCS)=MSTU(5)*(IPA+3)
+ K(IPA+2,9-KCS)=MSTU(5)*(IPA+1)
+ K(IPA+3,KCS)=MSTU(5)*IPA
+ K(IPA+3,9-KCS)=MSTU(5)*(IPA+2)
+
+C...Store partons for parton shower evolution from q-qbar-q-qbar event.
+ ELSE
+ K(IPA,1)=3
+ K(IPA+1,1)=3
+ K(IPA+2,1)=3
+ K(IPA+3,1)=3
+ K(IPA,4)=MSTU(5)*(IPA+1)
+ K(IPA,5)=K(IPA,4)
+ K(IPA+1,4)=MSTU(5)*IPA
+ K(IPA+1,5)=K(IPA+1,4)
+ K(IPA+2,4)=MSTU(5)*(IPA+3)
+ K(IPA+2,5)=K(IPA+2,4)
+ K(IPA+3,4)=MSTU(5)*(IPA+2)
+ K(IPA+3,5)=K(IPA+3,4)
+ ENDIF
+
+C...Check kinematics.
+ MKERR=0
+ IF(0.5*X1*PECM.LE.PM1.OR.0.5*X2*PECM.LE.PM2.OR.0.5*(2.-X1-X2-X4)*
+ &PECM.LE.PM3.OR.0.5*X4*PECM.LE.PM4) MKERR=1
+ PA1=SQRT(MAX(1E-10,(0.5*X1*PECM)**2-PM1**2))
+ PA2=SQRT(MAX(1E-10,(0.5*X2*PECM)**2-PM2**2))
+ PA4=SQRT(MAX(1E-10,(0.5*X4*PECM)**2-PM4**2))
+ X24=X1+X2+X4-1.-X12-X14+(PM3**2-PM1**2-PM2**2-PM4**2)/PECM**2
+ CTHE4=(X1*X4-2.*X14)*PECM**2/(4.*PA1*PA4)
+ IF(ABS(CTHE4).GE.1.002) MKERR=1
+ CTHE4=MAX(-1.,MIN(1.,CTHE4))
+ STHE4=SQRT(1.-CTHE4**2)
+ CTHE2=(X1*X2-2.*X12)*PECM**2/(4.*PA1*PA2)
+ IF(ABS(CTHE2).GE.1.002) MKERR=1
+ CTHE2=MAX(-1.,MIN(1.,CTHE2))
+ STHE2=SQRT(1.-CTHE2**2)
+ CPHI2=((X2*X4-2.*X24)*PECM**2-4.*PA2*CTHE2*PA4*CTHE4)/
+ &MAX(1E-8*PECM**2,4.*PA2*STHE2*PA4*STHE4)
+ IF(ABS(CPHI2).GE.1.05) MKERR=1
+ CPHI2=MAX(-1.,MIN(1.,CPHI2))
+ IF(MKERR.EQ.1) CALL LYERRM(13,
+ &'(LY4ENT:) unphysical kinematical variable setup')
+
+C...Store partons/particles in P vectors.
+ P(IPA,3)=PA1
+ P(IPA,4)=SQRT(PA1**2+PM1**2)
+ P(IPA,5)=PM1
+ P(IPA+3,1)=PA4*STHE4
+ P(IPA+3,3)=PA4*CTHE4
+ P(IPA+3,4)=SQRT(PA4**2+PM4**2)
+ P(IPA+3,5)=PM4
+ P(IPA+1,1)=PA2*STHE2*CPHI2
+ P(IPA+1,2)=PA2*STHE2*SQRT(1.-CPHI2**2)*(-1.)**INT(RLY(0)+0.5)
+ P(IPA+1,3)=PA2*CTHE2
+ P(IPA+1,4)=SQRT(PA2**2+PM2**2)
+ P(IPA+1,5)=PM2
+ P(IPA+2,1)=-P(IPA+1,1)-P(IPA+3,1)
+ P(IPA+2,2)=-P(IPA+1,2)
+ P(IPA+2,3)=-P(IPA,3)-P(IPA+1,3)-P(IPA+3,3)
+ P(IPA+2,4)=SQRT(P(IPA+2,1)**2+P(IPA+2,2)**2+P(IPA+2,3)**2+PM3**2)
+ P(IPA+2,5)=PM3
+
+C...Set N. Optionally fragment/decay.
+ N=IPA+3
+ IF(IP.EQ.0) CALL LYEXEC
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYJOIN(NJOIN,IJOIN)
+
+C...Purpose: to connect a sequence of partons with colour flow indices,
+C...as required for subsequent shower evolution (or other operations).
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION IJOIN(*)
+
+C...Check that partons are of right types to be connected.
+ IF(NJOIN.LT.2) GOTO 120
+ KQSUM=0
+ DO 100 IJN=1,NJOIN
+ I=IJOIN(IJN)
+ IF(I.LE.0.OR.I.GT.N) GOTO 120
+ IF(K(I,1).LT.1.OR.K(I,1).GT.3) GOTO 120
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0) GOTO 120
+ KQ=KCHG(KC,2)*ISIGN(1,K(I,2))
+ IF(KQ.EQ.0) GOTO 120
+ IF(IJN.NE.1.AND.IJN.NE.NJOIN.AND.KQ.NE.2) GOTO 120
+ IF(KQ.NE.2) KQSUM=KQSUM+KQ
+ IF(IJN.EQ.1) KQS=KQ
+ 100 CONTINUE
+ IF(KQSUM.NE.0) GOTO 120
+
+C...Connect the partons sequentially (closing for gluon loop).
+ KCS=(9-KQS)/2
+ IF(KQS.EQ.2) KCS=INT(4.5+RLY(0))
+ DO 110 IJN=1,NJOIN
+ I=IJOIN(IJN)
+ K(I,1)=3
+ IF(IJN.NE.1) IP=IJOIN(IJN-1)
+ IF(IJN.EQ.1) IP=IJOIN(NJOIN)
+ IF(IJN.NE.NJOIN) IN=IJOIN(IJN+1)
+ IF(IJN.EQ.NJOIN) IN=IJOIN(1)
+ K(I,KCS)=MSTU(5)*IN
+ K(I,9-KCS)=MSTU(5)*IP
+ IF(IJN.EQ.1.AND.KQS.NE.2) K(I,9-KCS)=0
+ IF(IJN.EQ.NJOIN.AND.KQS.NE.2) K(I,KCS)=0
+ 110 CONTINUE
+
+C...Error exit: no action taken.
+ RETURN
+ 120 CALL LYERRM(12,
+ &'(LYJOIN:) given entries can not be joined by one string')
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYGIVE(CHIN)
+
+C...Purpose: to set values of commonblock variables (also in PYTHIA!).
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ COMMON/LYDAT4/CHAF(500)
+ CHARACTER CHAF*8
+ COMMON/LYDATR/MRLU(6),RRLU(100)
+c DOUBLE PRECISION KFIN,CKIN
+c COMMON/PYSUBS/MSEL,MSELPD,MSUB(500),KFIN(2,-40:40),CKIN(200)
+c DOUBLE PRECISION PARP,PARI
+c COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200)
+c DOUBLE PRECISION VINT
+c COMMON/PYINT1/MINT(400),VINT(400)
+c DOUBLE PRECISION KFPR,COEF
+c COMMON/PYINT2/ISET(500),KFPR(500,2),COEF(500,20),ICOL(40,4,2)
+c DOUBLE PRECISION XSFX,SIGH
+c COMMON/PYINT3/XSFX(2,-40:40),ISIG(1000,3),SIGH(1000)
+c DOUBLE PRECISION WIDS
+c COMMON/PYINT4/MWID(500),WIDS(500,5)
+c DOUBLE PRECISION XSEC
+c COMMON/PYINT5/NGENPD,NGEN(0:500,3),XSEC(0:500,3)
+c CHARACTER PROC*28
+c COMMON/PYINT6/PROC(0:500)
+c DOUBLE PRECISION SIGT
+c COMMON/PYINT7/SIGT(0:6,0:6,0:5)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/,/LYDAT3/,/LYDAT4/,/LYDATR/
+c SAVE /PYSUBS/,/PYPARS/,/PYINT1/,/PYINT2/,/PYINT3/,/PYINT4/,
+c &/PYINT5/,/PYINT6/,/PYINT7/
+ CHARACTER CHIN*(*),CHFIX*104,CHBIT*104,CHOLD*8,CHNEW*8,CHOLD2*28,
+ &CHNEW2*28,CHNAM*4,CHVAR(19)*4,CHALP(2)*26,CHIND*8,CHINI*10,
+ &CHINR*16
+ DIMENSION MSVAR(43,8)
+
+C...For each variable to be translated give: name,
+C...integer/real/character, no. of indices, lower&upper index bounds.
+cfkw 3/29/00 I changed the dimension of CHVAR such that it includes only
+cfkw variables names from LUxxxx common blocks.
+cfkw However, I left MSVAR untouched out of fear of screwing it
+cfkw up royally !!!
+ DATA CHVAR/'N','K','P','V','MSTU','PARU','MSTJ','PARJ','KCHG',
+ &'PMAS','PARF','VCKM','MDCY','MDME','BRAT','KFDP','CHAF','MRLU',
+ &'RRLU'/
+c ,'MSEL','MSUB','KFIN','CKIN','MSTP','PARP','MSTI','PARI',
+c &'MINT','VINT','ISET','KFPR','COEF','ICOL','XSFX','ISIG','SIGH',
+c &'WIDP','WIDE','WIDS','NGEN','XSEC','PROC','SIGT'/
+ DATA ((MSVAR(I,J),J=1,8),I=1,43)/ 1,7*0, 1,2,1,4000,1,5,2*0,
+ & 2,2,1,4000,1,5,2*0, 2,2,1,4000,1,5,2*0, 1,1,1,200,4*0,
+ & 2,1,1,200,4*0, 1,1,1,200,4*0, 2,1,1,200,4*0,
+ & 1,2,1,500,1,3,2*0, 2,2,1,500,1,4,2*0, 2,1,1,2000,4*0,
+ & 2,2,1,4,1,4,2*0, 1,2,1,500,1,3,2*0, 1,2,1,2000,1,2,2*0,
+ & 2,1,1,2000,4*0, 1,2,1,2000,1,5,2*0, 3,1,1,500,4*0,
+ & 1,1,1,6,4*0, 2,1,1,100,4*0,
+ & 1,7*0, 1,1,1,200,4*0, 1,2,1,2,-40,40,2*0, 2,1,1,200,4*0,
+ & 1,1,1,200,4*0, 2,1,1,200,4*0, 1,1,1,200,4*0, 2,1,1,200,4*0,
+ & 1,1,1,400,4*0, 2,1,1,400,4*0, 1,1,1,200,4*0,
+ & 1,2,1,200,1,2,2*0, 2,2,1,200,1,20,2*0, 1,3,1,40,1,4,1,2,
+ & 2,2,1,2,-40,40,2*0, 1,2,1,1000,1,3,2*0, 2,1,1,1000,4*0,
+ & 2,2,21,40,0,40,2*0, 2,2,21,40,0,40,2*0, 2,2,21,40,1,3,2*0,
+ & 1,2,0,200,1,3,2*0, 2,2,0,200,1,3,2*0, 4,1,0,200,4*0,
+ & 2,3,0,6,0,6,0,5/
+ DATA CHALP/'abcdefghijklmnopqrstuvwxyz',
+ &'ABCDEFGHIJKLMNOPQRSTUVWXYZ'/
+
+C...Length of character variable. Subdivide it into instructions.
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ CHBIT=CHIN//' '
+ LBIT=101
+ 100 LBIT=LBIT-1
+ IF(CHBIT(LBIT:LBIT).EQ.' ') GOTO 100
+ LTOT=0
+ DO 110 LCOM=1,LBIT
+ IF(CHBIT(LCOM:LCOM).EQ.' ') GOTO 110
+ LTOT=LTOT+1
+ CHFIX(LTOT:LTOT)=CHBIT(LCOM:LCOM)
+ 110 CONTINUE
+ LLOW=0
+ 120 LHIG=LLOW+1
+ 130 LHIG=LHIG+1
+ IF(LHIG.LE.LTOT.AND.CHFIX(LHIG:LHIG).NE.';') GOTO 130
+ LBIT=LHIG-LLOW-1
+ CHBIT(1:LBIT)=CHFIX(LLOW+1:LHIG-1)
+
+C...Identify commonblock variable.
+ LNAM=1
+ 140 LNAM=LNAM+1
+ IF(CHBIT(LNAM:LNAM).NE.'('.AND.CHBIT(LNAM:LNAM).NE.'='.AND.
+ &LNAM.LE.4) GOTO 140
+ CHNAM=CHBIT(1:LNAM-1)//' '
+ DO 160 LCOM=1,LNAM-1
+ DO 150 LALP=1,26
+ IF(CHNAM(LCOM:LCOM).EQ.CHALP(1)(LALP:LALP)) CHNAM(LCOM:LCOM)=
+ &CHALP(2)(LALP:LALP)
+ 150 CONTINUE
+ 160 CONTINUE
+ IVAR=0
+c DO 170 IV=1,43
+ DO 170 IV=1,19
+ IF(CHNAM.EQ.CHVAR(IV)) IVAR=IV
+ 170 CONTINUE
+ IF(IVAR.EQ.0) THEN
+ CALL LYERRM(18,'(LYGIVE:) do not recognize variable '//CHNAM)
+ LLOW=LHIG
+ IF(LLOW.LT.LTOT) GOTO 120
+ RETURN
+ ENDIF
+
+C...Identify any indices.
+ I1=0
+ I2=0
+ I3=0
+ NINDX=0
+ IF(CHBIT(LNAM:LNAM).EQ.'(') THEN
+ LIND=LNAM
+ 180 LIND=LIND+1
+ IF(CHBIT(LIND:LIND).NE.')'.AND.CHBIT(LIND:LIND).NE.',') GOTO 180
+ CHIND=' '
+ IF((CHBIT(LNAM+1:LNAM+1).EQ.'C'.OR.CHBIT(LNAM+1:LNAM+1).EQ.'c').
+ & AND.(IVAR.EQ.9.OR.IVAR.EQ.10.OR.IVAR.EQ.13.OR.IVAR.EQ.17)) THEN
+ CHIND(LNAM-LIND+11:8)=CHBIT(LNAM+2:LIND-1)
+ READ(CHIND,'(I8)') KF
+ I1=LYCOMP(KF)
+ ELSEIF(CHBIT(LNAM+1:LNAM+1).EQ.'C'.OR.CHBIT(LNAM+1:LNAM+1).EQ.
+ & 'c') THEN
+ CALL LYERRM(18,'(LYGIVE:) not allowed to use C index for '//
+ & CHNAM)
+ LLOW=LHIG
+ IF(LLOW.LT.LTOT) GOTO 120
+ RETURN
+ ELSE
+ CHIND(LNAM-LIND+10:8)=CHBIT(LNAM+1:LIND-1)
+ READ(CHIND,'(I8)') I1
+ ENDIF
+ LNAM=LIND
+ IF(CHBIT(LNAM:LNAM).EQ.')') LNAM=LNAM+1
+ NINDX=1
+ ENDIF
+ IF(CHBIT(LNAM:LNAM).EQ.',') THEN
+ LIND=LNAM
+ 190 LIND=LIND+1
+ IF(CHBIT(LIND:LIND).NE.')'.AND.CHBIT(LIND:LIND).NE.',') GOTO 190
+ CHIND=' '
+ CHIND(LNAM-LIND+10:8)=CHBIT(LNAM+1:LIND-1)
+ READ(CHIND,'(I8)') I2
+ LNAM=LIND
+ IF(CHBIT(LNAM:LNAM).EQ.')') LNAM=LNAM+1
+ NINDX=2
+ ENDIF
+ IF(CHBIT(LNAM:LNAM).EQ.',') THEN
+ LIND=LNAM
+ 200 LIND=LIND+1
+ IF(CHBIT(LIND:LIND).NE.')'.AND.CHBIT(LIND:LIND).NE.',') GOTO 200
+ CHIND=' '
+ CHIND(LNAM-LIND+10:8)=CHBIT(LNAM+1:LIND-1)
+ READ(CHIND,'(I8)') I3
+ LNAM=LIND+1
+ NINDX=3
+ ENDIF
+
+C...Check that indices allowed.
+ IERR=0
+ IF(NINDX.NE.MSVAR(IVAR,2)) IERR=1
+ IF(NINDX.GE.1.AND.(I1.LT.MSVAR(IVAR,3).OR.I1.GT.MSVAR(IVAR,4)))
+ &IERR=2
+ IF(NINDX.GE.2.AND.(I2.LT.MSVAR(IVAR,5).OR.I2.GT.MSVAR(IVAR,6)))
+ &IERR=3
+ IF(NINDX.EQ.3.AND.(I3.LT.MSVAR(IVAR,7).OR.I3.GT.MSVAR(IVAR,8)))
+ &IERR=4
+ IF(CHBIT(LNAM:LNAM).NE.'=') IERR=5
+ IF(IERR.GE.1) THEN
+ CALL LYERRM(18,'(LYGIVE:) unallowed indices for '//
+ & CHBIT(1:LNAM-1))
+ LLOW=LHIG
+ IF(LLOW.LT.LTOT) GOTO 120
+ RETURN
+ ENDIF
+
+C...Save old value of variable.
+ IF(IVAR.EQ.1) THEN
+ IOLD=N
+ ELSEIF(IVAR.EQ.2) THEN
+ IOLD=K(I1,I2)
+ ELSEIF(IVAR.EQ.3) THEN
+ ROLD=P(I1,I2)
+ ELSEIF(IVAR.EQ.4) THEN
+ ROLD=V(I1,I2)
+ ELSEIF(IVAR.EQ.5) THEN
+ IOLD=MSTU(I1)
+ ELSEIF(IVAR.EQ.6) THEN
+ ROLD=PARU(I1)
+ ELSEIF(IVAR.EQ.7) THEN
+ IOLD=MSTJ(I1)
+ ELSEIF(IVAR.EQ.8) THEN
+ ROLD=PARJ(I1)
+ ELSEIF(IVAR.EQ.9) THEN
+ IOLD=KCHG(I1,I2)
+ ELSEIF(IVAR.EQ.10) THEN
+ ROLD=PMAS(I1,I2)
+ ELSEIF(IVAR.EQ.11) THEN
+ ROLD=PARF(I1)
+ ELSEIF(IVAR.EQ.12) THEN
+ ROLD=VCKM(I1,I2)
+ ELSEIF(IVAR.EQ.13) THEN
+ IOLD=MDCY(I1,I2)
+ ELSEIF(IVAR.EQ.14) THEN
+ IOLD=MDME(I1,I2)
+ ELSEIF(IVAR.EQ.15) THEN
+ ROLD=BRAT(I1)
+ ELSEIF(IVAR.EQ.16) THEN
+ IOLD=KFDP(I1,I2)
+ ELSEIF(IVAR.EQ.17) THEN
+ CHOLD=CHAF(I1)
+ ELSEIF(IVAR.EQ.18) THEN
+ IOLD=MRLU(I1)
+ ELSEIF(IVAR.EQ.19) THEN
+ ROLD=RRLU(I1)
+cfkw 3/29/00 comment out all variables that exist only in PYxxxx commons
+cfkw as those commons are commented above anyway.
+c ELSEIF(IVAR.EQ.20) THEN
+c IOLD=MSEL
+c ELSEIF(IVAR.EQ.21) THEN
+c IOLD=MSUB(I1)
+c ELSEIF(IVAR.EQ.22) THEN
+c IOLD=KFIN(I1,I2)
+c ELSEIF(IVAR.EQ.23) THEN
+c ROLD=CKIN(I1)
+c ELSEIF(IVAR.EQ.24) THEN
+c IOLD=MSTP(I1)
+c ELSEIF(IVAR.EQ.25) THEN
+c ROLD=PARP(I1)
+c ELSEIF(IVAR.EQ.26) THEN
+c IOLD=MSTI(I1)
+c ELSEIF(IVAR.EQ.27) THEN
+c ROLD=PARI(I1)
+c ELSEIF(IVAR.EQ.28) THEN
+c IOLD=MINT(I1)
+c ELSEIF(IVAR.EQ.29) THEN
+c ROLD=VINT(I1)
+c ELSEIF(IVAR.EQ.30) THEN
+c IOLD=ISET(I1)
+c ELSEIF(IVAR.EQ.31) THEN
+c IOLD=KFPR(I1,I2)
+c ELSEIF(IVAR.EQ.32) THEN
+c ROLD=COEF(I1,I2)
+c ELSEIF(IVAR.EQ.33) THEN
+c IOLD=ICOL(I1,I2,I3)
+c ELSEIF(IVAR.EQ.34) THEN
+c ROLD=XSFX(I1,I2)
+c ELSEIF(IVAR.EQ.35) THEN
+c IOLD=ISIG(I1,I2)
+c ELSEIF(IVAR.EQ.36) THEN
+c ROLD=SIGH(I1)
+c ELSEIF(IVAR.EQ.37) THEN
+c ROLD=WIDP(I1,I2)
+c ELSEIF(IVAR.EQ.38) THEN
+c ROLD=WIDE(I1,I2)
+c ELSEIF(IVAR.EQ.39) THEN
+c ROLD=WIDS(I1,I2)
+c ELSEIF(IVAR.EQ.40) THEN
+c IOLD=NGEN(I1,I2)
+c ELSEIF(IVAR.EQ.41) THEN
+c ROLD=XSEC(I1,I2)
+c ELSEIF(IVAR.EQ.42) THEN
+c CHOLD2=PROC(I1)
+c ELSEIF(IVAR.EQ.43) THEN
+c ROLD=SIGT(I1,I2,I3)
+ ELSE
+ CALL LYERRM(18,'(LYGIVE:) IVAR screwup '//CHNAM)
+ ENDIF
+
+C...Print current value of variable. Loop back.
+ IF(LNAM.GE.LBIT) THEN
+ CHBIT(LNAM:14)=' '
+ CHBIT(15:60)=' has the value '
+ IF(MSVAR(IVAR,1).EQ.1) THEN
+ WRITE(CHBIT(51:60),'(I10)') IOLD
+ ELSEIF(MSVAR(IVAR,1).EQ.2) THEN
+ WRITE(CHBIT(47:60),'(F14.5)') ROLD
+ ELSEIF(MSVAR(IVAR,1).EQ.3) THEN
+ CHBIT(53:60)=CHOLD
+ ELSE
+ CHBIT(33:60)=CHOLD
+ ENDIF
+ IF(MSTU(13).GE.1) WRITE(MSTU(11),5000) CHBIT(1:60)
+ LLOW=LHIG
+ IF(LLOW.LT.LTOT) GOTO 120
+ RETURN
+ ENDIF
+
+C...Read in new variable value.
+ IF(MSVAR(IVAR,1).EQ.1) THEN
+ CHINI=' '
+ CHINI(LNAM-LBIT+11:10)=CHBIT(LNAM+1:LBIT)
+ READ(CHINI,'(I10)') INEW
+ ELSEIF(MSVAR(IVAR,1).EQ.2) THEN
+ CHINR=' '
+ CHINR(LNAM-LBIT+17:16)=CHBIT(LNAM+1:LBIT)
+ READ(CHINR,'(F16.2)') RNEW
+ ELSEIF(MSVAR(IVAR,1).EQ.3) THEN
+ CHNEW=CHBIT(LNAM+1:LBIT)//' '
+ ELSE
+ CHNEW2=CHBIT(LNAM+1:LBIT)//' '
+ ENDIF
+
+C...Store new variable value.
+ IF(IVAR.EQ.1) THEN
+ N=INEW
+ ELSEIF(IVAR.EQ.2) THEN
+ K(I1,I2)=INEW
+ ELSEIF(IVAR.EQ.3) THEN
+ P(I1,I2)=RNEW
+ ELSEIF(IVAR.EQ.4) THEN
+ V(I1,I2)=RNEW
+ ELSEIF(IVAR.EQ.5) THEN
+ MSTU(I1)=INEW
+ ELSEIF(IVAR.EQ.6) THEN
+ PARU(I1)=RNEW
+ ELSEIF(IVAR.EQ.7) THEN
+ MSTJ(I1)=INEW
+ ELSEIF(IVAR.EQ.8) THEN
+ PARJ(I1)=RNEW
+ ELSEIF(IVAR.EQ.9) THEN
+ KCHG(I1,I2)=INEW
+ ELSEIF(IVAR.EQ.10) THEN
+ PMAS(I1,I2)=RNEW
+ ELSEIF(IVAR.EQ.11) THEN
+ PARF(I1)=RNEW
+ ELSEIF(IVAR.EQ.12) THEN
+ VCKM(I1,I2)=RNEW
+ ELSEIF(IVAR.EQ.13) THEN
+ MDCY(I1,I2)=INEW
+ ELSEIF(IVAR.EQ.14) THEN
+ MDME(I1,I2)=INEW
+ ELSEIF(IVAR.EQ.15) THEN
+ BRAT(I1)=RNEW
+ ELSEIF(IVAR.EQ.16) THEN
+ KFDP(I1,I2)=INEW
+ ELSEIF(IVAR.EQ.17) THEN
+ CHAF(I1)=CHNEW
+ ELSEIF(IVAR.EQ.18) THEN
+ MRLU(I1)=INEW
+ ELSEIF(IVAR.EQ.19) THEN
+ RRLU(I1)=RNEW
+cfkw 3/29/00 comment out all variables that exist only in PYxxxx commons
+cfkw as those commons are commented above anyway.
+c ELSEIF(IVAR.EQ.20) THEN
+c MSEL=INEW
+c ELSEIF(IVAR.EQ.21) THEN
+c MSUB(I1)=INEW
+c ELSEIF(IVAR.EQ.22) THEN
+c KFIN(I1,I2)=INEW
+c ELSEIF(IVAR.EQ.23) THEN
+c CKIN(I1)=RNEW
+c ELSEIF(IVAR.EQ.24) THEN
+c MSTP(I1)=INEW
+c ELSEIF(IVAR.EQ.25) THEN
+c PARP(I1)=RNEW
+c ELSEIF(IVAR.EQ.26) THEN
+c MSTI(I1)=INEW
+c ELSEIF(IVAR.EQ.27) THEN
+c PARI(I1)=RNEW
+c ELSEIF(IVAR.EQ.28) THEN
+c MINT(I1)=INEW
+c ELSEIF(IVAR.EQ.29) THEN
+c VINT(I1)=RNEW
+c ELSEIF(IVAR.EQ.30) THEN
+c ISET(I1)=INEW
+c ELSEIF(IVAR.EQ.31) THEN
+c KFPR(I1,I2)=INEW
+c ELSEIF(IVAR.EQ.32) THEN
+c COEF(I1,I2)=RNEW
+c ELSEIF(IVAR.EQ.33) THEN
+c ICOL(I1,I2,I3)=INEW
+c ELSEIF(IVAR.EQ.34) THEN
+c XSFX(I1,I2)=RNEW
+c ELSEIF(IVAR.EQ.35) THEN
+c ISIG(I1,I2)=INEW
+c ELSEIF(IVAR.EQ.36) THEN
+c SIGH(I1)=RNEW
+c ELSEIF(IVAR.EQ.37) THEN
+c WIDP(I1,I2)=RNEW
+c ELSEIF(IVAR.EQ.38) THEN
+c WIDE(I1,I2)=RNEW
+c ELSEIF(IVAR.EQ.39) THEN
+c WIDS(I1,I2)=RNEW
+c ELSEIF(IVAR.EQ.40) THEN
+c NGEN(I1,I2)=INEW
+c ELSEIF(IVAR.EQ.41) THEN
+c XSEC(I1,I2)=RNEW
+c ELSEIF(IVAR.EQ.42) THEN
+c PROC(I1)=CHNEW2
+c ELSEIF(IVAR.EQ.43) THEN
+c SIGT(I1,I2,I3)=RNEW
+ ELSE
+ CALL LYERRM(18,'(LYGIVE:) IVAR screwup '//CHNAM)
+ ENDIF
+
+C...Write old and new value. Loop back.
+ CHBIT(LNAM:14)=' '
+ CHBIT(15:60)=' changed from to '
+ IF(MSVAR(IVAR,1).EQ.1) THEN
+ WRITE(CHBIT(33:42),'(I10)') IOLD
+ WRITE(CHBIT(51:60),'(I10)') INEW
+ IF(MSTU(13).GE.1) WRITE(MSTU(11),5000) CHBIT(1:60)
+ ELSEIF(MSVAR(IVAR,1).EQ.2) THEN
+ WRITE(CHBIT(29:42),'(F14.5)') ROLD
+ WRITE(CHBIT(47:60),'(F14.5)') RNEW
+ IF(MSTU(13).GE.1) WRITE(MSTU(11),5000) CHBIT(1:60)
+ ELSEIF(MSVAR(IVAR,1).EQ.3) THEN
+ CHBIT(35:42)=CHOLD
+ CHBIT(53:60)=CHNEW
+ IF(MSTU(13).GE.1) WRITE(MSTU(11),5000) CHBIT(1:60)
+ ELSE
+ CHBIT(15:88)=' changed from '//CHOLD2//' to '//CHNEW2
+ IF(MSTU(13).GE.1) WRITE(MSTU(11),5100) CHBIT(1:88)
+ ENDIF
+ LLOW=LHIG
+ IF(LLOW.LT.LTOT) GOTO 120
+
+C...Format statement for output on unit MSTU(11) (by default 6).
+ 5000 FORMAT(5X,A60)
+ 5100 FORMAT(5X,A88)
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYEXEC
+
+C...Purpose: to administrate the fragmentation and decay chain.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/,/LYDAT3/
+ DIMENSION PS(2,6)
+
+C...Initialize and reset.
+ MSTU(24)=0
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ MSTU(31)=MSTU(31)+1
+ MSTU(1)=0
+ MSTU(2)=0
+ MSTU(3)=0
+ IF(MSTU(17).LE.0) MSTU(90)=0
+ MCONS=1
+
+C...Sum up momentum, energy and charge for starting entries.
+ NSAV=N
+ DO 110 I=1,2
+ DO 100 J=1,6
+ PS(I,J)=0.
+ 100 CONTINUE
+ 110 CONTINUE
+ DO 130 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 130
+ DO 120 J=1,4
+ PS(1,J)=PS(1,J)+P(I,J)
+ 120 CONTINUE
+ PS(1,6)=PS(1,6)+LYCHGE(K(I,2))
+ 130 CONTINUE
+ PARU(21)=PS(1,4)
+
+C...Prepare system for subsequent fragmentation/decay.
+ CALL LYPREP(0)
+
+C...Loop through jet fragmentation and particle decays.
+ MBE=0
+ 140 MBE=MBE+1
+ IP=0
+ 150 IP=IP+1
+ KC=0
+ IF(K(IP,1).GT.0.AND.K(IP,1).LE.10) KC=LYCOMP(K(IP,2))
+ IF(KC.EQ.0) THEN
+
+C...Particle decay if unstable and allowed. Save long-lived particle
+C...decays until second pass after Bose-Einstein effects.
+ ELSEIF(KCHG(KC,2).EQ.0) THEN
+ IF(MSTJ(21).GE.1.AND.MDCY(KC,1).GE.1.AND.(MSTJ(51).LE.0.OR.MBE
+ & .EQ.2.OR.PMAS(KC,2).GE.PARJ(91).OR.IABS(K(IP,2)).EQ.311))
+ & CALL LYDECY(IP)
+
+C...Decay products may develop a shower.
+ IF(MSTJ(92).GT.0) THEN
+ IP1=MSTJ(92)
+ QMAX=SQRT(MAX(0.,(P(IP1,4)+P(IP1+1,4))**2-(P(IP1,1)+P(IP1+1,
+ & 1))**2-(P(IP1,2)+P(IP1+1,2))**2-(P(IP1,3)+P(IP1+1,3))**2))
+ CALL LYSHOW(IP1,IP1+1,QMAX)
+ CALL LYPREP(IP1)
+ MSTJ(92)=0
+ ELSEIF(MSTJ(92).LT.0) THEN
+ IP1=-MSTJ(92)
+ CALL LYSHOW(IP1,-3,P(IP,5))
+ CALL LYPREP(IP1)
+ MSTJ(92)=0
+ ENDIF
+
+C...Jet fragmentation: string or independent fragmentation.
+ ELSEIF(K(IP,1).EQ.1.OR.K(IP,1).EQ.2) THEN
+ MFRAG=MSTJ(1)
+ IF(MFRAG.GE.1.AND.K(IP,1).EQ.1) MFRAG=2
+ IF(MSTJ(21).GE.2.AND.K(IP,1).EQ.2.AND.N.GT.IP) THEN
+ IF(K(IP+1,1).EQ.1.AND.K(IP+1,3).EQ.K(IP,3).AND.
+ & K(IP,3).GT.0.AND.K(IP,3).LT.IP) THEN
+ IF(KCHG(LYCOMP(K(K(IP,3),2)),2).EQ.0) MFRAG=MIN(1,MFRAG)
+ ENDIF
+ ENDIF
+ IF(MFRAG.EQ.1) CALL LYSTRF(IP)
+ IF(MFRAG.EQ.2) CALL LYINDF(IP)
+ IF(MFRAG.EQ.2.AND.K(IP,1).EQ.1) MCONS=0
+ IF(MFRAG.EQ.2.AND.(MSTJ(3).LE.0.OR.MOD(MSTJ(3),5).EQ.0)) MCONS=0
+ ENDIF
+
+C...Loop back if enough space left in LUJETS and no error abort.
+ IF(MSTU(24).NE.0.AND.MSTU(21).GE.2) THEN
+ ELSEIF(IP.LT.N.AND.N.LT.MSTU(4)-20-MSTU(32)) THEN
+ GOTO 150
+ ELSEIF(IP.LT.N) THEN
+ CALL LYERRM(11,'(LYEXEC:) no more memory left in LUJETS')
+ ENDIF
+
+C...Include simple Bose-Einstein effect parametrization if desired.
+ IF(MBE.EQ.1.AND.MSTJ(51).GE.1) THEN
+ CALL LYBOEI(NSAV)
+ GOTO 140
+ ENDIF
+
+C...Check that momentum, energy and charge were conserved.
+ DO 170 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 170
+ DO 160 J=1,4
+ PS(2,J)=PS(2,J)+P(I,J)
+ 160 CONTINUE
+ PS(2,6)=PS(2,6)+LYCHGE(K(I,2))
+ 170 CONTINUE
+ PDEV=(ABS(PS(2,1)-PS(1,1))+ABS(PS(2,2)-PS(1,2))+ABS(PS(2,3)-
+ &PS(1,3))+ABS(PS(2,4)-PS(1,4)))/(1.+ABS(PS(2,4))+ABS(PS(1,4)))
+ IF(MCONS.EQ.1.AND.PDEV.GT.PARU(11)) CALL LYERRM(15,
+ &'(LYEXEC:) four-momentum was not conserved')
+ IF(MCONS.EQ.1.AND.ABS(PS(2,6)-PS(1,6)).GT.0.1) CALL LYERRM(15,
+ &'(LYEXEC:) charge was not conserved')
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYPREP(IP)
+
+C...Purpose: to rearrange partons along strings, to allow small systems
+C...to collapse into one or two particles and to check flavours.
+ IMPLICIT DOUBLE PRECISION(D)
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/,/LYDAT3/
+ DIMENSION DPS(5),DPC(5),UE(3)
+
+C...Rearrange parton shower product listing along strings: begin loop.
+ I1=N
+ DO 130 MQGST=1,2
+ DO 120 I=MAX(1,IP),N
+ IF(K(I,1).NE.3) GOTO 120
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0) GOTO 120
+ KQ=KCHG(KC,2)
+ IF(KQ.EQ.0.OR.(MQGST.EQ.1.AND.KQ.EQ.2)) GOTO 120
+
+C...Pick up loose string end.
+ KCS=4
+ IF(KQ*ISIGN(1,K(I,2)).LT.0) KCS=5
+ IA=I
+ NSTP=0
+ 100 NSTP=NSTP+1
+ IF(NSTP.GT.4*N) THEN
+ CALL LYERRM(14,'(LYPREP:) caught in infinite loop')
+ RETURN
+ ENDIF
+
+C...Copy undecayed parton.
+ IF(K(IA,1).EQ.3) THEN
+ IF(I1.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYPREP:) no more memory left in LUJETS')
+ RETURN
+ ENDIF
+ I1=I1+1
+ K(I1,1)=2
+ IF(NSTP.GE.2.AND.IABS(K(IA,2)).NE.21) K(I1,1)=1
+ K(I1,2)=K(IA,2)
+ K(I1,3)=IA
+ K(I1,4)=0
+ K(I1,5)=0
+ DO 110 J=1,5
+ P(I1,J)=P(IA,J)
+ V(I1,J)=V(IA,J)
+ 110 CONTINUE
+ K(IA,1)=K(IA,1)+10
+ IF(K(I1,1).EQ.1) GOTO 120
+ ENDIF
+
+C...Go to next parton in colour space.
+ IB=IA
+ IF(MOD(K(IB,KCS)/MSTU(5)**2,2).EQ.0.AND.MOD(K(IB,KCS),MSTU(5))
+ &.NE.0) THEN
+ IA=MOD(K(IB,KCS),MSTU(5))
+ K(IB,KCS)=K(IB,KCS)+MSTU(5)**2
+ MREV=0
+ ELSE
+ IF(K(IB,KCS).GE.2*MSTU(5)**2.OR.MOD(K(IB,KCS)/MSTU(5),MSTU(5))
+ & .EQ.0) KCS=9-KCS
+ IA=MOD(K(IB,KCS)/MSTU(5),MSTU(5))
+ K(IB,KCS)=K(IB,KCS)+2*MSTU(5)**2
+ MREV=1
+ ENDIF
+ IF(IA.LE.0.OR.IA.GT.N) THEN
+ CALL LYERRM(12,'(LYPREP:) colour rearrangement failed')
+ RETURN
+ ENDIF
+ IF(MOD(K(IA,4)/MSTU(5),MSTU(5)).EQ.IB.OR.MOD(K(IA,5)/MSTU(5),
+ &MSTU(5)).EQ.IB) THEN
+ IF(MREV.EQ.1) KCS=9-KCS
+ IF(MOD(K(IA,KCS)/MSTU(5),MSTU(5)).NE.IB) KCS=9-KCS
+ K(IA,KCS)=K(IA,KCS)+2*MSTU(5)**2
+ ELSE
+ IF(MREV.EQ.0) KCS=9-KCS
+ IF(MOD(K(IA,KCS),MSTU(5)).NE.IB) KCS=9-KCS
+ K(IA,KCS)=K(IA,KCS)+MSTU(5)**2
+ ENDIF
+ IF(IA.NE.I) GOTO 100
+ K(I1,1)=1
+ 120 CONTINUE
+ 130 CONTINUE
+ N=I1
+ IF(MSTJ(14).LT.0) RETURN
+
+C...Find lowest-mass colour singlet jet system, OK if above threshold.
+ IF(MSTJ(14).EQ.0) GOTO 320
+ NS=N
+ 140 NSIN=N-NS
+ PDM=1.+PARJ(32)
+ IC=0
+ DO 190 I=MAX(1,IP),NS
+ IF(K(I,1).NE.1.AND.K(I,1).NE.2) THEN
+ ELSEIF(K(I,1).EQ.2.AND.IC.EQ.0) THEN
+ NSIN=NSIN+1
+ IC=I
+ DO 150 J=1,4
+ DPS(J)=P(I,J)
+ 150 CONTINUE
+ MSTJ(93)=1
+ DPS(5)=UYMASS(K(I,2))
+ ELSEIF(K(I,1).EQ.2) THEN
+ DO 160 J=1,4
+ DPS(J)=DPS(J)+P(I,J)
+ 160 CONTINUE
+ ELSEIF(IC.NE.0.AND.KCHG(LYCOMP(K(I,2)),2).NE.0) THEN
+ DO 170 J=1,4
+ DPS(J)=DPS(J)+P(I,J)
+ 170 CONTINUE
+ MSTJ(93)=1
+ DPS(5)=DPS(5)+UYMASS(K(I,2))
+ PD=SQRT(MAX(0D0,DPS(4)**2-DPS(1)**2-DPS(2)**2-DPS(3)**2))-DPS(5)
+ IF(PD.LT.PDM) THEN
+ PDM=PD
+ DO 180 J=1,5
+ DPC(J)=DPS(J)
+ 180 CONTINUE
+ IC1=IC
+ IC2=I
+ ENDIF
+ IC=0
+ ELSE
+ NSIN=NSIN+1
+ ENDIF
+ 190 CONTINUE
+ IF(PDM.GE.PARJ(32)) GOTO 320
+
+C...Fill small-mass system as cluster.
+ NSAV=N
+ PECM=SQRT(MAX(0D0,DPC(4)**2-DPC(1)**2-DPC(2)**2-DPC(3)**2))
+ K(N+1,1)=11
+ K(N+1,2)=91
+ K(N+1,3)=IC1
+ K(N+1,4)=N+2
+ K(N+1,5)=N+3
+ P(N+1,1)=DPC(1)
+ P(N+1,2)=DPC(2)
+ P(N+1,3)=DPC(3)
+ P(N+1,4)=DPC(4)
+ P(N+1,5)=PECM
+
+C...Form two particles from flavours of lowest-mass system, if feasible.
+ K(N+2,1)=1
+ K(N+3,1)=1
+ IF(MSTU(16).NE.2) THEN
+ K(N+2,3)=N+1
+ K(N+3,3)=N+1
+ ELSE
+ K(N+2,3)=IC1
+ K(N+3,3)=IC2
+ ENDIF
+ K(N+2,4)=0
+ K(N+3,4)=0
+ K(N+2,5)=0
+ K(N+3,5)=0
+ IF(IABS(K(IC1,2)).NE.21) THEN
+ KC1=LYCOMP(K(IC1,2))
+ KC2=LYCOMP(K(IC2,2))
+ IF(KC1.EQ.0.OR.KC2.EQ.0) GOTO 320
+ KQ1=KCHG(KC1,2)*ISIGN(1,K(IC1,2))
+ KQ2=KCHG(KC2,2)*ISIGN(1,K(IC2,2))
+ IF(KQ1+KQ2.NE.0) GOTO 320
+ 200 CALL LYKFDI(K(IC1,2),0,KFLN,K(N+2,2))
+ CALL LYKFDI(K(IC2,2),-KFLN,KFLDMP,K(N+3,2))
+ IF(K(N+2,2).EQ.0.OR.K(N+3,2).EQ.0) GOTO 200
+ ELSE
+ IF(IABS(K(IC2,2)).NE.21) GOTO 320
+ 210 CALL LYKFDI(1+INT((2.+PARJ(2))*RLY(0)),0,KFLN,KFDMP)
+ CALL LYKFDI(KFLN,0,KFLM,K(N+2,2))
+ CALL LYKFDI(-KFLN,-KFLM,KFLDMP,K(N+3,2))
+ IF(K(N+2,2).EQ.0.OR.K(N+3,2).EQ.0) GOTO 210
+ ENDIF
+ P(N+2,5)=UYMASS(K(N+2,2))
+ P(N+3,5)=UYMASS(K(N+3,2))
+ IF(P(N+2,5)+P(N+3,5)+PARJ(64).GE.PECM.AND.NSIN.EQ.1) GOTO 320
+ IF(P(N+2,5)+P(N+3,5)+PARJ(64).GE.PECM) GOTO 260
+
+C...Perform two-particle decay of jet system, if possible.
+ IF(PECM.GE.0.02*DPC(4)) THEN
+ PA=SQRT((PECM**2-(P(N+2,5)+P(N+3,5))**2)*(PECM**2-
+ & (P(N+2,5)-P(N+3,5))**2))/(2.*PECM)
+ UE(3)=2.*RLY(0)-1.
+ PHI=PARU(2)*RLY(0)
+ UE(1)=SQRT(1.-UE(3)**2)*COS(PHI)
+ UE(2)=SQRT(1.-UE(3)**2)*SIN(PHI)
+ DO 220 J=1,3
+ P(N+2,J)=PA*UE(J)
+ P(N+3,J)=-PA*UE(J)
+ 220 CONTINUE
+ P(N+2,4)=SQRT(PA**2+P(N+2,5)**2)
+ P(N+3,4)=SQRT(PA**2+P(N+3,5)**2)
+ MSTU(33)=1
+ CALL LUDBRB(N+2,N+3,0.,0.,DPC(1)/DPC(4),DPC(2)/DPC(4),
+ & DPC(3)/DPC(4))
+ ELSE
+ NP=0
+ DO 230 I=IC1,IC2
+ IF(K(I,1).EQ.1.OR.K(I,1).EQ.2) NP=NP+1
+ 230 CONTINUE
+ HA=P(IC1,4)*P(IC2,4)-P(IC1,1)*P(IC2,1)-P(IC1,2)*P(IC2,2)-
+ & P(IC1,3)*P(IC2,3)
+ IF(NP.GE.3.OR.HA.LE.1.25*P(IC1,5)*P(IC2,5)) GOTO 260
+ HD1=0.5*(P(N+2,5)**2-P(IC1,5)**2)
+ HD2=0.5*(P(N+3,5)**2-P(IC2,5)**2)
+ HR=SQRT(MAX(0.,((HA-HD1-HD2)**2-(P(N+2,5)*P(N+3,5))**2)/
+ & (HA**2-(P(IC1,5)*P(IC2,5))**2)))-1.
+ HC=P(IC1,5)**2+2.*HA+P(IC2,5)**2
+ HK1=((P(IC2,5)**2+HA)*HR+HD1-HD2)/HC
+ HK2=((P(IC1,5)**2+HA)*HR+HD2-HD1)/HC
+ DO 240 J=1,4
+ P(N+2,J)=(1.+HK1)*P(IC1,J)-HK2*P(IC2,J)
+ P(N+3,J)=(1.+HK2)*P(IC2,J)-HK1*P(IC1,J)
+ 240 CONTINUE
+ ENDIF
+ DO 250 J=1,4
+ V(N+1,J)=V(IC1,J)
+ V(N+2,J)=V(IC1,J)
+ V(N+3,J)=V(IC2,J)
+ 250 CONTINUE
+ V(N+1,5)=0.
+ V(N+2,5)=0.
+ V(N+3,5)=0.
+ N=N+3
+ GOTO 300
+
+C...Else form one particle from the flavours available, if possible.
+ 260 K(N+1,5)=N+2
+ IF(IABS(K(IC1,2)).GT.100.AND.IABS(K(IC2,2)).GT.100) THEN
+ GOTO 320
+ ELSEIF(IABS(K(IC1,2)).NE.21) THEN
+ CALL LYKFDI(K(IC1,2),K(IC2,2),KFLDMP,K(N+2,2))
+ ELSE
+ KFLN=1+INT((2.+PARJ(2))*RLY(0))
+ CALL LYKFDI(KFLN,-KFLN,KFLDMP,K(N+2,2))
+ ENDIF
+ IF(K(N+2,2).EQ.0) GOTO 260
+ P(N+2,5)=UYMASS(K(N+2,2))
+
+C...Find parton/particle which combines to largest extra mass.
+ IR=0
+ HA=0.
+ HSM=0.
+ DO 280 MCOMB=1,3
+ IF(IR.NE.0) GOTO 280
+ DO 270 I=MAX(1,IP),N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10.OR.(I.GE.IC1.AND.I.LE.IC2
+ &.AND.K(I,1).GE.1.AND.K(I,1).LE.2)) GOTO 270
+ IF(MCOMB.EQ.1) KCI=LYCOMP(K(I,2))
+ IF(MCOMB.EQ.1.AND.KCI.EQ.0) GOTO 270
+ IF(MCOMB.EQ.1.AND.KCHG(KCI,2).EQ.0.AND.I.LE.NS) GOTO 270
+ IF(MCOMB.EQ.2.AND.IABS(K(I,2)).GT.10.AND.IABS(K(I,2)).LE.100)
+ &GOTO 270
+ HCR=DPC(4)*P(I,4)-DPC(1)*P(I,1)-DPC(2)*P(I,2)-DPC(3)*P(I,3)
+ HSR=2.*HCR+PECM**2-P(N+2,5)**2-2.*P(N+2,5)*P(I,5)
+ IF(HSR.GT.HSM) THEN
+ IR=I
+ HA=HCR
+ HSM=HSR
+ ENDIF
+ 270 CONTINUE
+ 280 CONTINUE
+
+C...Shuffle energy and momentum to put new particle on mass shell.
+ IF(IR.NE.0) THEN
+ HB=PECM**2+HA
+ HC=P(N+2,5)**2+HA
+ HD=P(IR,5)**2+HA
+ HK2=0.5*(HB*SQRT(MAX(0.,((HB+HC)**2-4.*(HB+HD)*P(N+2,5)**2)/
+ & (HA**2-(PECM*P(IR,5))**2)))-(HB+HC))/(HB+HD)
+ HK1=(0.5*(P(N+2,5)**2-PECM**2)+HD*HK2)/HB
+ DO 290 J=1,4
+ P(N+2,J)=(1.+HK1)*DPC(J)-HK2*P(IR,J)
+ P(IR,J)=(1.+HK2)*P(IR,J)-HK1*DPC(J)
+ V(N+1,J)=V(IC1,J)
+ V(N+2,J)=V(IC1,J)
+ 290 CONTINUE
+ V(N+1,5)=0.
+ V(N+2,5)=0.
+ N=N+2
+ ELSE
+ CALL LYERRM(3,'(LYPREP:) no match for collapsing cluster')
+ RETURN
+ ENDIF
+
+C...Mark collapsed system and store daughter pointers. Iterate.
+ 300 DO 310 I=IC1,IC2
+ IF((K(I,1).EQ.1.OR.K(I,1).EQ.2).AND.KCHG(LYCOMP(K(I,2)),2).NE.0)
+ &THEN
+ K(I,1)=K(I,1)+10
+ IF(MSTU(16).NE.2) THEN
+ K(I,4)=NSAV+1
+ K(I,5)=NSAV+1
+ ELSE
+ K(I,4)=NSAV+2
+ K(I,5)=N
+ ENDIF
+ ENDIF
+ 310 CONTINUE
+ IF(N.LT.MSTU(4)-MSTU(32)-5) GOTO 140
+
+C...Check flavours and invariant masses in parton systems.
+ 320 NP=0
+ KFN=0
+ KQS=0
+ NJU=0
+ DO 330 J=1,5
+ DPS(J)=0.
+ 330 CONTINUE
+ DO 360 I=MAX(1,IP),N
+ IF(K(I,1).EQ.41) NJU=NJU+1
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 360
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0) GOTO 360
+ KQ=KCHG(KC,2)*ISIGN(1,K(I,2))
+ IF(KQ.EQ.0) GOTO 360
+ NP=NP+1
+ IF(KQ.NE.2) THEN
+ KFN=KFN+1
+ KQS=KQS+KQ
+ MSTJ(93)=1
+ DPS(5)=DPS(5)+UYMASS(K(I,2))
+ ENDIF
+ DO 340 J=1,4
+ DPS(J)=DPS(J)+P(I,J)
+ 340 CONTINUE
+ IF(K(I,1).EQ.1) THEN
+ NFERR=0
+ IF(NJU.EQ.0.AND.NP.NE.1) THEN
+ IF(KFN.EQ.1.OR.KFN.GE.3.OR.KQS.NE.0) NFERR=1
+ ELSEIF(NJU.EQ.1) THEN
+ IF(KFN.NE.3.OR.IABS(KQS).NE.3) NFERR=1
+ ELSEIF(NJU.EQ.2) THEN
+ IF(KFN.NE.4.OR.KQS.NE.0) NFERR=1
+ ELSEIF(NJU.GE.3) THEN
+ NFERR=1
+ ENDIF
+ IF(NFERR.EQ.1) CALL
+ & LYERRM(2,'(LYPREP:) unphysical flavour combination')
+ IF(NP.NE.1.AND.DPS(4)**2-DPS(1)**2-DPS(2)**2-DPS(3)**2.LT.
+ & (0.9*PARJ(32)+DPS(5))**2) CALL LYERRM(3,
+ & '(LYPREP:) too small mass in jet system')
+ NP=0
+ KFN=0
+ KQS=0
+ NJU=0
+ DO 350 J=1,5
+ DPS(J)=0.
+ 350 CONTINUE
+ ENDIF
+ 360 CONTINUE
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYSTRF(IP)
+C...Purpose: to handle the fragmentation of an arbitrary colour singlet
+C...jet system according to the Lund string fragmentation model.
+ IMPLICIT DOUBLE PRECISION(D)
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION DPS(5),KFL(3),PMQ(3),PX(3),PY(3),GAM(3),IE(2),PR(2),
+ &IN(9),DHM(4),DHG(4),DP(5,5),IRANK(2),MJU(4),IJU(3),PJU(5,5),
+ &TJU(5),KFJH(2),NJS(2),KFJS(2),PJS(4,5),MSTU9T(8),PARU9T(8)
+
+C...Function: four-product of two vectors.
+ FOUR(I,J)=P(I,4)*P(J,4)-P(I,1)*P(J,1)-P(I,2)*P(J,2)-P(I,3)*P(J,3)
+ DFOUR(I,J)=DP(I,4)*DP(J,4)-DP(I,1)*DP(J,1)-DP(I,2)*DP(J,2)-
+ &DP(I,3)*DP(J,3)
+
+C...Reset counters. Identify parton system.
+ MSTJ(91)=0
+ NSAV=N
+ MSTU90=MSTU(90)
+ NP=0
+ KQSUM=0
+ DO 100 J=1,5
+ DPS(J)=0D0
+ 100 CONTINUE
+ MJU(1)=0
+ MJU(2)=0
+ I=IP-1
+ 110 I=I+1
+ IF(I.GT.MIN(N,MSTU(4)-MSTU(32))) THEN
+ CALL LYERRM(12,'(LYSTRF:) failed to reconstruct jet system')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IF(K(I,1).NE.1.AND.K(I,1).NE.2.AND.K(I,1).NE.41) GOTO 110
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0) GOTO 110
+ KQ=KCHG(KC,2)*ISIGN(1,K(I,2))
+ IF(KQ.EQ.0) GOTO 110
+ IF(N+5*NP+11.GT.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYSTRF:) no more memory left in LUJETS')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Take copy of partons to be considered. Check flavour sum.
+ NP=NP+1
+ DO 120 J=1,5
+ K(N+NP,J)=K(I,J)
+ P(N+NP,J)=P(I,J)
+ IF(J.NE.4) DPS(J)=DPS(J)+P(I,J)
+ 120 CONTINUE
+ DPS(4)=DPS(4)+SQRT(DBLE(P(I,1))**2+DBLE(P(I,2))**2+
+ &DBLE(P(I,3))**2+DBLE(P(I,5))**2)
+ K(N+NP,3)=I
+ IF(KQ.NE.2) KQSUM=KQSUM+KQ
+ IF(K(I,1).EQ.41) THEN
+ KQSUM=KQSUM+2*KQ
+ IF(KQSUM.EQ.KQ) MJU(1)=N+NP
+ IF(KQSUM.NE.KQ) MJU(2)=N+NP
+ ENDIF
+ IF(K(I,1).EQ.2.OR.K(I,1).EQ.41) GOTO 110
+ IF(KQSUM.NE.0) THEN
+ CALL LYERRM(12,'(LYSTRF:) unphysical flavour combination')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Boost copied system to CM frame (for better numerical precision).
+ IF(ABS(DPS(3)).LT.0.99D0*DPS(4)) THEN
+ MBST=0
+ MSTU(33)=1
+ CALL LUDBRB(N+1,N+NP,0.,0.,-DPS(1)/DPS(4),-DPS(2)/DPS(4),
+ & -DPS(3)/DPS(4))
+ ELSE
+ MBST=1
+ HHBZ=SQRT(MAX(1D-6,DPS(4)+DPS(3))/MAX(1D-6,DPS(4)-DPS(3)))
+ DO 130 I=N+1,N+NP
+ HHPMT=P(I,1)**2+P(I,2)**2+P(I,5)**2
+ IF(P(I,3).GT.0.) THEN
+ HHPEZ=(P(I,4)+P(I,3))/HHBZ
+ P(I,3)=0.5*(HHPEZ-HHPMT/HHPEZ)
+ P(I,4)=0.5*(HHPEZ+HHPMT/HHPEZ)
+ ELSE
+ HHPEZ=(P(I,4)-P(I,3))*HHBZ
+ P(I,3)=-0.5*(HHPEZ-HHPMT/HHPEZ)
+ P(I,4)=0.5*(HHPEZ+HHPMT/HHPEZ)
+ ENDIF
+ 130 CONTINUE
+ ENDIF
+
+C...Search for very nearby partons that may be recombined.
+ NTRYR=0
+ PARU12=PARU(12)
+ PARU13=PARU(13)
+ MJU(3)=MJU(1)
+ MJU(4)=MJU(2)
+ NR=NP
+ 140 IF(NR.GE.3) THEN
+ PDRMIN=2.*PARU12
+ DO 150 I=N+1,N+NR
+ IF(I.EQ.N+NR.AND.IABS(K(N+1,2)).NE.21) GOTO 150
+ I1=I+1
+ IF(I.EQ.N+NR) I1=N+1
+ IF(K(I,1).EQ.41.OR.K(I1,1).EQ.41) GOTO 150
+ IF(MJU(1).NE.0.AND.I1.LT.MJU(1).AND.IABS(K(I1,2)).NE.21)
+ & GOTO 150
+ IF(MJU(2).NE.0.AND.I.GT.MJU(2).AND.IABS(K(I,2)).NE.21) GOTO 150
+ PAP=SQRT((P(I,1)**2+P(I,2)**2+P(I,3)**2)*(P(I1,1)**2+
+ & P(I1,2)**2+P(I1,3)**2))
+ PVP=P(I,1)*P(I1,1)+P(I,2)*P(I1,2)+P(I,3)*P(I1,3)
+ PDR=4.*(PAP-PVP)**2/MAX(1E-6,PARU13**2*PAP+2.*(PAP-PVP))
+ IF(PDR.LT.PDRMIN) THEN
+ IR=I
+ PDRMIN=PDR
+ ENDIF
+ 150 CONTINUE
+
+C...Recombine very nearby partons to avoid machine precision problems.
+ IF(PDRMIN.LT.PARU12.AND.IR.EQ.N+NR) THEN
+ DO 160 J=1,4
+ P(N+1,J)=P(N+1,J)+P(N+NR,J)
+ 160 CONTINUE
+ P(N+1,5)=SQRT(MAX(0.,P(N+1,4)**2-P(N+1,1)**2-P(N+1,2)**2-
+ & P(N+1,3)**2))
+ NR=NR-1
+ GOTO 140
+ ELSEIF(PDRMIN.LT.PARU12) THEN
+ DO 170 J=1,4
+ P(IR,J)=P(IR,J)+P(IR+1,J)
+ 170 CONTINUE
+ P(IR,5)=SQRT(MAX(0.,P(IR,4)**2-P(IR,1)**2-P(IR,2)**2-
+ & P(IR,3)**2))
+ DO 190 I=IR+1,N+NR-1
+ K(I,2)=K(I+1,2)
+ DO 180 J=1,5
+ P(I,J)=P(I+1,J)
+ 180 CONTINUE
+ 190 CONTINUE
+ IF(IR.EQ.N+NR-1) K(IR,2)=K(N+NR,2)
+ NR=NR-1
+ IF(MJU(1).GT.IR) MJU(1)=MJU(1)-1
+ IF(MJU(2).GT.IR) MJU(2)=MJU(2)-1
+ GOTO 140
+ ENDIF
+ ENDIF
+ NTRYR=NTRYR+1
+
+C...Reset particle counter. Skip ahead if no junctions are present;
+C...this is usually the case!
+ NRS=MAX(5*NR+11,NP)
+ NTRY=0
+ 200 NTRY=NTRY+1
+ IF(NTRY.GT.100.AND.NTRYR.LE.4) THEN
+ PARU12=4.*PARU12
+ PARU13=2.*PARU13
+ GOTO 140
+ ELSEIF(NTRY.GT.100) THEN
+ CALL LYERRM(14,'(LYSTRF:) caught in infinite loop')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ I=N+NRS
+ MSTU(90)=MSTU90
+ IF(MJU(1).EQ.0.AND.MJU(2).EQ.0) GOTO 580
+ DO 570 JT=1,2
+ NJS(JT)=0
+ IF(MJU(JT).EQ.0) GOTO 570
+ JS=3-2*JT
+
+C...Find and sum up momentum on three sides of junction. Check flavours.
+ DO 220 IU=1,3
+ IJU(IU)=0
+ DO 210 J=1,5
+ PJU(IU,J)=0.
+ 210 CONTINUE
+ 220 CONTINUE
+ IU=0
+ DO 240 I1=N+1+(JT-1)*(NR-1),N+NR+(JT-1)*(1-NR),JS
+ IF(K(I1,2).NE.21.AND.IU.LE.2) THEN
+ IU=IU+1
+ IJU(IU)=I1
+ ENDIF
+ DO 230 J=1,4
+ PJU(IU,J)=PJU(IU,J)+P(I1,J)
+ 230 CONTINUE
+ 240 CONTINUE
+ DO 250 IU=1,3
+ PJU(IU,5)=SQRT(PJU(IU,1)**2+PJU(IU,2)**2+PJU(IU,3)**2)
+ 250 CONTINUE
+ IF(K(IJU(3),2)/100.NE.10*K(IJU(1),2)+K(IJU(2),2).AND.
+ &K(IJU(3),2)/100.NE.10*K(IJU(2),2)+K(IJU(1),2)) THEN
+ CALL LYERRM(12,'(LYSTRF:) unphysical flavour combination')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Calculate (approximate) boost to rest frame of junction.
+ T12=(PJU(1,1)*PJU(2,1)+PJU(1,2)*PJU(2,2)+PJU(1,3)*PJU(2,3))/
+ &(PJU(1,5)*PJU(2,5))
+ T13=(PJU(1,1)*PJU(3,1)+PJU(1,2)*PJU(3,2)+PJU(1,3)*PJU(3,3))/
+ &(PJU(1,5)*PJU(3,5))
+ T23=(PJU(2,1)*PJU(3,1)+PJU(2,2)*PJU(3,2)+PJU(2,3)*PJU(3,3))/
+ &(PJU(2,5)*PJU(3,5))
+ T11=SQRT((2./3.)*(1.-T12)*(1.-T13)/(1.-T23))
+ T22=SQRT((2./3.)*(1.-T12)*(1.-T23)/(1.-T13))
+ TSQ=SQRT((2.*T11*T22+T12-1.)*(1.+T12))
+ T1F=(TSQ-T22*(1.+T12))/(1.-T12**2)
+ T2F=(TSQ-T11*(1.+T12))/(1.-T12**2)
+ DO 260 J=1,3
+ TJU(J)=-(T1F*PJU(1,J)/PJU(1,5)+T2F*PJU(2,J)/PJU(2,5))
+ 260 CONTINUE
+ TJU(4)=SQRT(1.+TJU(1)**2+TJU(2)**2+TJU(3)**2)
+ DO 270 IU=1,3
+ PJU(IU,5)=TJU(4)*PJU(IU,4)-TJU(1)*PJU(IU,1)-TJU(2)*PJU(IU,2)-
+ &TJU(3)*PJU(IU,3)
+ 270 CONTINUE
+
+C...Put junction at rest if motion could give inconsistencies.
+ IF(PJU(1,5)+PJU(2,5).GT.PJU(1,4)+PJU(2,4)) THEN
+ DO 280 J=1,3
+ TJU(J)=0.
+ 280 CONTINUE
+ TJU(4)=1.
+ PJU(1,5)=PJU(1,4)
+ PJU(2,5)=PJU(2,4)
+ PJU(3,5)=PJU(3,4)
+ ENDIF
+
+C...Start preparing for fragmentation of two strings from junction.
+ ISTA=I
+ DO 550 IU=1,2
+ NS=JS*(IJU(IU+1)-IJU(IU))
+
+C...Junction strings: find longitudinal string directions.
+ DO 310 IS=1,NS
+ IS1=IJU(IU)+IS-1
+ IS2=IJU(IU)+IS
+ DO 290 J=1,5
+ DP(1,J)=0.5*P(IS1,J)
+ IF(IS.EQ.1) DP(1,J)=P(IS1,J)
+ DP(2,J)=0.5*P(IS2,J)
+ IF(IS.EQ.NS) DP(2,J)=-PJU(IU,J)
+ 290 CONTINUE
+ IF(IS.EQ.NS) DP(2,4)=SQRT(PJU(IU,1)**2+PJU(IU,2)**2+PJU(IU,3)**2)
+ IF(IS.EQ.NS) DP(2,5)=0.
+ DP(3,5)=DFOUR(1,1)
+ DP(4,5)=DFOUR(2,2)
+ DHKC=DFOUR(1,2)
+ IF(DP(3,5)+2.*DHKC+DP(4,5).LE.0.) THEN
+ DP(1,4)=SQRT(DP(1,1)**2+DP(1,2)**2+DP(1,3)**2)
+ DP(2,4)=SQRT(DP(2,1)**2+DP(2,2)**2+DP(2,3)**2)
+ DP(3,5)=0D0
+ DP(4,5)=0D0
+ DHKC=DFOUR(1,2)
+ ENDIF
+ DHKS=SQRT(DHKC**2-DP(3,5)*DP(4,5))
+ DHK1=0.5*((DP(4,5)+DHKC)/DHKS-1.)
+ DHK2=0.5*((DP(3,5)+DHKC)/DHKS-1.)
+ IN1=N+NR+4*IS-3
+ P(IN1,5)=SQRT(DP(3,5)+2.*DHKC+DP(4,5))
+ DO 300 J=1,4
+ P(IN1,J)=(1.+DHK1)*DP(1,J)-DHK2*DP(2,J)
+ P(IN1+1,J)=(1.+DHK2)*DP(2,J)-DHK1*DP(1,J)
+ 300 CONTINUE
+ 310 CONTINUE
+
+C...Junction strings: initialize flavour, momentum and starting pos.
+ ISAV=I
+ MSTU91=MSTU(90)
+ 320 NTRY=NTRY+1
+ IF(NTRY.GT.100.AND.NTRYR.LE.4) THEN
+ PARU12=4.*PARU12
+ PARU13=2.*PARU13
+ GOTO 140
+ ELSEIF(NTRY.GT.100) THEN
+ CALL LYERRM(14,'(LYSTRF:) caught in infinite loop')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ I=ISAV
+ MSTU(90)=MSTU91
+ IRANKJ=0
+ IE(1)=K(N+1+(JT/2)*(NP-1),3)
+ IN(4)=N+NR+1
+ IN(5)=IN(4)+1
+ IN(6)=N+NR+4*NS+1
+ DO 340 JQ=1,2
+ DO 330 IN1=N+NR+2+JQ,N+NR+4*NS-2+JQ,4
+ P(IN1,1)=2-JQ
+ P(IN1,2)=JQ-1
+ P(IN1,3)=1.
+ 330 CONTINUE
+ 340 CONTINUE
+ KFL(1)=K(IJU(IU),2)
+ PX(1)=0.
+ PY(1)=0.
+ GAM(1)=0.
+ DO 350 J=1,5
+ PJU(IU+3,J)=0.
+ 350 CONTINUE
+
+C...Junction strings: find initial transverse directions.
+ DO 360 J=1,4
+ DP(1,J)=P(IN(4),J)
+ DP(2,J)=P(IN(4)+1,J)
+ DP(3,J)=0.
+ DP(4,J)=0.
+ 360 CONTINUE
+ DP(1,4)=SQRT(DP(1,1)**2+DP(1,2)**2+DP(1,3)**2)
+ DP(2,4)=SQRT(DP(2,1)**2+DP(2,2)**2+DP(2,3)**2)
+ DP(5,1)=DP(1,1)/DP(1,4)-DP(2,1)/DP(2,4)
+ DP(5,2)=DP(1,2)/DP(1,4)-DP(2,2)/DP(2,4)
+ DP(5,3)=DP(1,3)/DP(1,4)-DP(2,3)/DP(2,4)
+ IF(DP(5,1)**2.LE.DP(5,2)**2+DP(5,3)**2) DP(3,1)=1.
+ IF(DP(5,1)**2.GT.DP(5,2)**2+DP(5,3)**2) DP(3,3)=1.
+ IF(DP(5,2)**2.LE.DP(5,1)**2+DP(5,3)**2) DP(4,2)=1.
+ IF(DP(5,2)**2.GT.DP(5,1)**2+DP(5,3)**2) DP(4,3)=1.
+ DHC12=DFOUR(1,2)
+ DHCX1=DFOUR(3,1)/DHC12
+ DHCX2=DFOUR(3,2)/DHC12
+ DHCXX=1D0/SQRT(1D0+2D0*DHCX1*DHCX2*DHC12)
+ DHCY1=DFOUR(4,1)/DHC12
+ DHCY2=DFOUR(4,2)/DHC12
+ DHCYX=DHCXX*(DHCX1*DHCY2+DHCX2*DHCY1)*DHC12
+ DHCYY=1D0/SQRT(1D0+2D0*DHCY1*DHCY2*DHC12-DHCYX**2)
+ DO 370 J=1,4
+ DP(3,J)=DHCXX*(DP(3,J)-DHCX2*DP(1,J)-DHCX1*DP(2,J))
+ P(IN(6),J)=DP(3,J)
+ P(IN(6)+1,J)=DHCYY*(DP(4,J)-DHCY2*DP(1,J)-DHCY1*DP(2,J)-
+ &DHCYX*DP(3,J))
+ 370 CONTINUE
+
+C...Junction strings: produce new particle, origin.
+ 380 I=I+1
+ IF(2*I-NSAV.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYSTRF:) no more memory left in LUJETS')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IRANKJ=IRANKJ+1
+ K(I,1)=1
+ K(I,3)=IE(1)
+ K(I,4)=0
+ K(I,5)=0
+
+C...Junction strings: generate flavour, hadron, pT, z and Gamma.
+ 390 CALL LYKFDI(KFL(1),0,KFL(3),K(I,2))
+ IF(K(I,2).EQ.0) GOTO 320
+ IF(MSTJ(12).GE.3.AND.IRANKJ.EQ.1.AND.IABS(KFL(1)).LE.10.AND.
+ &IABS(KFL(3)).GT.10) THEN
+ IF(RLY(0).GT.PARJ(19)) GOTO 390
+ ENDIF
+ P(I,5)=UYMASS(K(I,2))
+ CALL LYPTDI(KFL(1),PX(3),PY(3))
+ PR(1)=P(I,5)**2+(PX(1)+PX(3))**2+(PY(1)+PY(3))**2
+ CALL LYZDIS(KFL(1),KFL(3),PR(1),Z)
+ IF(IABS(KFL(1)).GE.4.AND.IABS(KFL(1)).LE.8.AND.
+ &MSTU(90).LT.8) THEN
+ MSTU(90)=MSTU(90)+1
+ MSTU(90+MSTU(90))=I
+ PARU(90+MSTU(90))=Z
+ ENDIF
+ GAM(3)=(1.-Z)*(GAM(1)+PR(1)/Z)
+ DO 400 J=1,3
+ IN(J)=IN(3+J)
+ 400 CONTINUE
+
+C...Junction strings: stepping within or from 'low' string region easy.
+ IF(IN(1)+1.EQ.IN(2).AND.Z*P(IN(1)+2,3)*P(IN(2)+2,3)*
+ &P(IN(1),5)**2.GE.PR(1)) THEN
+ P(IN(1)+2,4)=Z*P(IN(1)+2,3)
+ P(IN(2)+2,4)=PR(1)/(P(IN(1)+2,4)*P(IN(1),5)**2)
+ DO 410 J=1,4
+ P(I,J)=(PX(1)+PX(3))*P(IN(3),J)+(PY(1)+PY(3))*P(IN(3)+1,J)
+ 410 CONTINUE
+ GOTO 500
+ ELSEIF(IN(1)+1.EQ.IN(2)) THEN
+ P(IN(2)+2,4)=P(IN(2)+2,3)
+ P(IN(2)+2,1)=1.
+ IN(2)=IN(2)+4
+ IF(IN(2).GT.N+NR+4*NS) GOTO 320
+ IF(FOUR(IN(1),IN(2)).LE.1E-2) THEN
+ P(IN(1)+2,4)=P(IN(1)+2,3)
+ P(IN(1)+2,1)=0.
+ IN(1)=IN(1)+4
+ ENDIF
+ ENDIF
+
+C...Junction strings: find new transverse directions.
+ 420 IF(IN(1).GT.N+NR+4*NS.OR.IN(2).GT.N+NR+4*NS.OR.
+ &IN(1).GT.IN(2)) GOTO 320
+ IF(IN(1).NE.IN(4).OR.IN(2).NE.IN(5)) THEN
+ DO 430 J=1,4
+ DP(1,J)=P(IN(1),J)
+ DP(2,J)=P(IN(2),J)
+ DP(3,J)=0.
+ DP(4,J)=0.
+ 430 CONTINUE
+ DP(1,4)=SQRT(DP(1,1)**2+DP(1,2)**2+DP(1,3)**2)
+ DP(2,4)=SQRT(DP(2,1)**2+DP(2,2)**2+DP(2,3)**2)
+ DHC12=DFOUR(1,2)
+ IF(DHC12.LE.1E-2) THEN
+ P(IN(1)+2,4)=P(IN(1)+2,3)
+ P(IN(1)+2,1)=0.
+ IN(1)=IN(1)+4
+ GOTO 420
+ ENDIF
+ IN(3)=N+NR+4*NS+5
+ DP(5,1)=DP(1,1)/DP(1,4)-DP(2,1)/DP(2,4)
+ DP(5,2)=DP(1,2)/DP(1,4)-DP(2,2)/DP(2,4)
+ DP(5,3)=DP(1,3)/DP(1,4)-DP(2,3)/DP(2,4)
+ IF(DP(5,1)**2.LE.DP(5,2)**2+DP(5,3)**2) DP(3,1)=1.
+ IF(DP(5,1)**2.GT.DP(5,2)**2+DP(5,3)**2) DP(3,3)=1.
+ IF(DP(5,2)**2.LE.DP(5,1)**2+DP(5,3)**2) DP(4,2)=1.
+ IF(DP(5,2)**2.GT.DP(5,1)**2+DP(5,3)**2) DP(4,3)=1.
+ DHCX1=DFOUR(3,1)/DHC12
+ DHCX2=DFOUR(3,2)/DHC12
+ DHCXX=1D0/SQRT(1D0+2D0*DHCX1*DHCX2*DHC12)
+ DHCY1=DFOUR(4,1)/DHC12
+ DHCY2=DFOUR(4,2)/DHC12
+ DHCYX=DHCXX*(DHCX1*DHCY2+DHCX2*DHCY1)*DHC12
+ DHCYY=1D0/SQRT(1D0+2D0*DHCY1*DHCY2*DHC12-DHCYX**2)
+ DO 440 J=1,4
+ DP(3,J)=DHCXX*(DP(3,J)-DHCX2*DP(1,J)-DHCX1*DP(2,J))
+ P(IN(3),J)=DP(3,J)
+ P(IN(3)+1,J)=DHCYY*(DP(4,J)-DHCY2*DP(1,J)-DHCY1*DP(2,J)-
+ & DHCYX*DP(3,J))
+ 440 CONTINUE
+C...Express pT with respect to new axes, if sensible.
+ PXP=-(PX(3)*FOUR(IN(6),IN(3))+PY(3)*FOUR(IN(6)+1,IN(3)))
+ PYP=-(PX(3)*FOUR(IN(6),IN(3)+1)+PY(3)*FOUR(IN(6)+1,IN(3)+1))
+ IF(ABS(PXP**2+PYP**2-PX(3)**2-PY(3)**2).LT.0.01) THEN
+ PX(3)=PXP
+ PY(3)=PYP
+ ENDIF
+ ENDIF
+
+C...Junction strings: sum up known four-momentum, coefficients for m2.
+ DO 470 J=1,4
+ DHG(J)=0.
+ P(I,J)=PX(1)*P(IN(6),J)+PY(1)*P(IN(6)+1,J)+PX(3)*P(IN(3),J)+
+ &PY(3)*P(IN(3)+1,J)
+ DO 450 IN1=IN(4),IN(1)-4,4
+ P(I,J)=P(I,J)+P(IN1+2,3)*P(IN1,J)
+ 450 CONTINUE
+ DO 460 IN2=IN(5),IN(2)-4,4
+ P(I,J)=P(I,J)+P(IN2+2,3)*P(IN2,J)
+ 460 CONTINUE
+ 470 CONTINUE
+ DHM(1)=FOUR(I,I)
+ DHM(2)=2.*FOUR(I,IN(1))
+ DHM(3)=2.*FOUR(I,IN(2))
+ DHM(4)=2.*FOUR(IN(1),IN(2))
+
+C...Junction strings: find coefficients for Gamma expression.
+ DO 490 IN2=IN(1)+1,IN(2),4
+ DO 480 IN1=IN(1),IN2-1,4
+ DHC=2.*FOUR(IN1,IN2)
+ DHG(1)=DHG(1)+P(IN1+2,1)*P(IN2+2,1)*DHC
+ IF(IN1.EQ.IN(1)) DHG(2)=DHG(2)-P(IN2+2,1)*DHC
+ IF(IN2.EQ.IN(2)) DHG(3)=DHG(3)+P(IN1+2,1)*DHC
+ IF(IN1.EQ.IN(1).AND.IN2.EQ.IN(2)) DHG(4)=DHG(4)-DHC
+ 480 CONTINUE
+ 490 CONTINUE
+
+C...Junction strings: solve (m2, Gamma) equation system for energies.
+ DHS1=DHM(3)*DHG(4)-DHM(4)*DHG(3)
+ IF(ABS(DHS1).LT.1E-4) GOTO 320
+ DHS2=DHM(4)*(GAM(3)-DHG(1))-DHM(2)*DHG(3)-DHG(4)*
+ &(P(I,5)**2-DHM(1))+DHG(2)*DHM(3)
+ DHS3=DHM(2)*(GAM(3)-DHG(1))-DHG(2)*(P(I,5)**2-DHM(1))
+ P(IN(2)+2,4)=0.5*(SQRT(MAX(0D0,DHS2**2-4.*DHS1*DHS3))/ABS(DHS1)-
+ &DHS2/DHS1)
+ IF(DHM(2)+DHM(4)*P(IN(2)+2,4).LE.0.) GOTO 320
+ P(IN(1)+2,4)=(P(I,5)**2-DHM(1)-DHM(3)*P(IN(2)+2,4))/
+ &(DHM(2)+DHM(4)*P(IN(2)+2,4))
+
+C...Junction strings: step to new region if necessary.
+ IF(P(IN(2)+2,4).GT.P(IN(2)+2,3)) THEN
+ P(IN(2)+2,4)=P(IN(2)+2,3)
+ P(IN(2)+2,1)=1.
+ IN(2)=IN(2)+4
+ IF(IN(2).GT.N+NR+4*NS) GOTO 320
+ IF(FOUR(IN(1),IN(2)).LE.1E-2) THEN
+ P(IN(1)+2,4)=P(IN(1)+2,3)
+ P(IN(1)+2,1)=0.
+ IN(1)=IN(1)+4
+ ENDIF
+ GOTO 420
+ ELSEIF(P(IN(1)+2,4).GT.P(IN(1)+2,3)) THEN
+ P(IN(1)+2,4)=P(IN(1)+2,3)
+ P(IN(1)+2,1)=0.
+ IN(1)=IN(1)+JS
+ GOTO 820
+ ENDIF
+
+C...Junction strings: particle four-momentum, remainder, loop back.
+ 500 DO 510 J=1,4
+ P(I,J)=P(I,J)+P(IN(1)+2,4)*P(IN(1),J)+P(IN(2)+2,4)*P(IN(2),J)
+ PJU(IU+3,J)=PJU(IU+3,J)+P(I,J)
+ 510 CONTINUE
+ IF(P(I,4).LT.P(I,5)) GOTO 320
+ PJU(IU+3,5)=TJU(4)*PJU(IU+3,4)-TJU(1)*PJU(IU+3,1)-
+ &TJU(2)*PJU(IU+3,2)-TJU(3)*PJU(IU+3,3)
+ IF(PJU(IU+3,5).LT.PJU(IU,5)) THEN
+ KFL(1)=-KFL(3)
+ PX(1)=-PX(3)
+ PY(1)=-PY(3)
+ GAM(1)=GAM(3)
+ IF(IN(3).NE.IN(6)) THEN
+ DO 520 J=1,4
+ P(IN(6),J)=P(IN(3),J)
+ P(IN(6)+1,J)=P(IN(3)+1,J)
+ 520 CONTINUE
+ ENDIF
+ DO 530 JQ=1,2
+ IN(3+JQ)=IN(JQ)
+ P(IN(JQ)+2,3)=P(IN(JQ)+2,3)-P(IN(JQ)+2,4)
+ P(IN(JQ)+2,1)=P(IN(JQ)+2,1)-(3-2*JQ)*P(IN(JQ)+2,4)
+ 530 CONTINUE
+ GOTO 380
+ ENDIF
+
+C...Junction strings: save quantities left after each string.
+ IF(IABS(KFL(1)).GT.10) GOTO 320
+ I=I-1
+ KFJH(IU)=KFL(1)
+ DO 540 J=1,4
+ PJU(IU+3,J)=PJU(IU+3,J)-P(I+1,J)
+ 540 CONTINUE
+ 550 CONTINUE
+
+C...Junction strings: put together to new effective string endpoint.
+ NJS(JT)=I-ISTA
+ KFJS(JT)=K(K(MJU(JT+2),3),2)
+ KFLS=2*INT(RLY(0)+3.*PARJ(4)/(1.+3.*PARJ(4)))+1
+ IF(KFJH(1).EQ.KFJH(2)) KFLS=3
+ IF(ISTA.NE.I) KFJS(JT)=ISIGN(1000*MAX(IABS(KFJH(1)),
+ &IABS(KFJH(2)))+100*MIN(IABS(KFJH(1)),IABS(KFJH(2)))+
+ &KFLS,KFJH(1))
+ DO 560 J=1,4
+ PJS(JT,J)=PJU(1,J)+PJU(2,J)+P(MJU(JT),J)
+ PJS(JT+2,J)=PJU(4,J)+PJU(5,J)
+ 560 CONTINUE
+ PJS(JT,5)=SQRT(MAX(0.,PJS(JT,4)**2-PJS(JT,1)**2-PJS(JT,2)**2-
+ &PJS(JT,3)**2))
+ 570 CONTINUE
+
+C...Open versus closed strings. Choose breakup region for latter.
+ 580 IF(MJU(1).NE.0.AND.MJU(2).NE.0) THEN
+ NS=MJU(2)-MJU(1)
+ NB=MJU(1)-N
+ ELSEIF(MJU(1).NE.0) THEN
+ NS=N+NR-MJU(1)
+ NB=MJU(1)-N
+ ELSEIF(MJU(2).NE.0) THEN
+ NS=MJU(2)-N
+ NB=1
+ ELSEIF(IABS(K(N+1,2)).NE.21) THEN
+ NS=NR-1
+ NB=1
+ ELSE
+ NS=NR+1
+ W2SUM=0.
+ DO 590 IS=1,NR
+ P(N+NR+IS,1)=0.5*FOUR(N+IS,N+IS+1-NR*(IS/NR))
+ W2SUM=W2SUM+P(N+NR+IS,1)
+ 590 CONTINUE
+ W2RAN=RLY(0)*W2SUM
+ NB=0
+ 600 NB=NB+1
+ W2SUM=W2SUM-P(N+NR+NB,1)
+ IF(W2SUM.GT.W2RAN.AND.NB.LT.NR) GOTO 600
+ ENDIF
+
+C...Find longitudinal string directions (i.e. lightlike four-vectors).
+ DO 630 IS=1,NS
+ IS1=N+IS+NB-1-NR*((IS+NB-2)/NR)
+ IS2=N+IS+NB-NR*((IS+NB-1)/NR)
+ DO 610 J=1,5
+ DP(1,J)=P(IS1,J)
+ IF(IABS(K(IS1,2)).EQ.21) DP(1,J)=0.5*DP(1,J)
+ IF(IS1.EQ.MJU(1)) DP(1,J)=PJS(1,J)-PJS(3,J)
+ DP(2,J)=P(IS2,J)
+ IF(IABS(K(IS2,2)).EQ.21) DP(2,J)=0.5*DP(2,J)
+ IF(IS2.EQ.MJU(2)) DP(2,J)=PJS(2,J)-PJS(4,J)
+ 610 CONTINUE
+ DP(3,5)=DFOUR(1,1)
+ DP(4,5)=DFOUR(2,2)
+ DHKC=DFOUR(1,2)
+ IF(DP(3,5)+2.*DHKC+DP(4,5).LE.0.) THEN
+ DP(3,5)=DP(1,5)**2
+ DP(4,5)=DP(2,5)**2
+ DP(1,4)=SQRT(DP(1,1)**2+DP(1,2)**2+DP(1,3)**2+DP(1,5)**2)
+ DP(2,4)=SQRT(DP(2,1)**2+DP(2,2)**2+DP(2,3)**2+DP(2,5)**2)
+ DHKC=DFOUR(1,2)
+ ENDIF
+ DHKS=SQRT(DHKC**2-DP(3,5)*DP(4,5))
+ DHK1=0.5*((DP(4,5)+DHKC)/DHKS-1.)
+ DHK2=0.5*((DP(3,5)+DHKC)/DHKS-1.)
+ IN1=N+NR+4*IS-3
+ P(IN1,5)=SQRT(DP(3,5)+2.*DHKC+DP(4,5))
+ DO 620 J=1,4
+ P(IN1,J)=(1.+DHK1)*DP(1,J)-DHK2*DP(2,J)
+ P(IN1+1,J)=(1.+DHK2)*DP(2,J)-DHK1*DP(1,J)
+ 620 CONTINUE
+ 630 CONTINUE
+
+C...Begin initialization: sum up energy, set starting position.
+ ISAV=I
+ MSTU91=MSTU(90)
+ 640 NTRY=NTRY+1
+ IF(NTRY.GT.100.AND.NTRYR.LE.4) THEN
+ PARU12=4.*PARU12
+ PARU13=2.*PARU13
+ GOTO 140
+ ELSEIF(NTRY.GT.100) THEN
+ CALL LYERRM(14,'(LYSTRF:) caught in infinite loop')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ I=ISAV
+ MSTU(90)=MSTU91
+ DO 660 J=1,4
+ P(N+NRS,J)=0.
+ DO 650 IS=1,NR
+ P(N+NRS,J)=P(N+NRS,J)+P(N+IS,J)
+ 650 CONTINUE
+ 660 CONTINUE
+ DO 680 JT=1,2
+ IRANK(JT)=0
+ IF(MJU(JT).NE.0) IRANK(JT)=NJS(JT)
+ IF(NS.GT.NR) IRANK(JT)=1
+ IE(JT)=K(N+1+(JT/2)*(NP-1),3)
+ IN(3*JT+1)=N+NR+1+4*(JT/2)*(NS-1)
+ IN(3*JT+2)=IN(3*JT+1)+1
+ IN(3*JT+3)=N+NR+4*NS+2*JT-1
+ DO 670 IN1=N+NR+2+JT,N+NR+4*NS-2+JT,4
+ P(IN1,1)=2-JT
+ P(IN1,2)=JT-1
+ P(IN1,3)=1.
+ 670 CONTINUE
+ 680 CONTINUE
+
+C...Initialize flavour and pT variables for open string.
+ IF(NS.LT.NR) THEN
+ PX(1)=0.
+ PY(1)=0.
+ IF(NS.EQ.1.AND.MJU(1)+MJU(2).EQ.0) CALL LYPTDI(0,PX(1),PY(1))
+ PX(2)=-PX(1)
+ PY(2)=-PY(1)
+ DO 690 JT=1,2
+ KFL(JT)=K(IE(JT),2)
+ IF(MJU(JT).NE.0) KFL(JT)=KFJS(JT)
+ MSTJ(93)=1
+ PMQ(JT)=UYMASS(KFL(JT))
+ GAM(JT)=0.
+ 690 CONTINUE
+
+C...Closed string: random initial breakup flavour, pT and vertex.
+ ELSE
+ KFL(3)=INT(1.+(2.+PARJ(2))*RLY(0))*(-1)**INT(RLY(0)+0.5)
+ CALL LYKFDI(KFL(3),0,KFL(1),KDUMP)
+ KFL(2)=-KFL(1)
+ IF(IABS(KFL(1)).GT.10.AND.RLY(0).GT.0.5) THEN
+ KFL(2)=-(KFL(1)+ISIGN(10000,KFL(1)))
+ ELSEIF(IABS(KFL(1)).GT.10) THEN
+ KFL(1)=-(KFL(2)+ISIGN(10000,KFL(2)))
+ ENDIF
+ CALL LYPTDI(KFL(1),PX(1),PY(1))
+ PX(2)=-PX(1)
+ PY(2)=-PY(1)
+ PR3=MIN(25.,0.1*P(N+NR+1,5)**2)
+ 700 CALL LYZDIS(KFL(1),KFL(2),PR3,Z)
+ ZR=PR3/(Z*P(N+NR+1,5)**2)
+ IF(ZR.GE.1.) GOTO 700
+ DO 710 JT=1,2
+ MSTJ(93)=1
+ PMQ(JT)=UYMASS(KFL(JT))
+ GAM(JT)=PR3*(1.-Z)/Z
+ IN1=N+NR+3+4*(JT/2)*(NS-1)
+ P(IN1,JT)=1.-Z
+ P(IN1,3-JT)=JT-1
+ P(IN1,3)=(2-JT)*(1.-Z)+(JT-1)*Z
+ P(IN1+1,JT)=ZR
+ P(IN1+1,3-JT)=2-JT
+ P(IN1+1,3)=(2-JT)*(1.-ZR)+(JT-1)*ZR
+ 710 CONTINUE
+ ENDIF
+
+C...Find initial transverse directions (i.e. spacelike four-vectors).
+ DO 750 JT=1,2
+ IF(JT.EQ.1.OR.NS.EQ.NR-1) THEN
+ IN1=IN(3*JT+1)
+ IN3=IN(3*JT+3)
+ DO 720 J=1,4
+ DP(1,J)=P(IN1,J)
+ DP(2,J)=P(IN1+1,J)
+ DP(3,J)=0.
+ DP(4,J)=0.
+ 720 CONTINUE
+ DP(1,4)=SQRT(DP(1,1)**2+DP(1,2)**2+DP(1,3)**2)
+ DP(2,4)=SQRT(DP(2,1)**2+DP(2,2)**2+DP(2,3)**2)
+ DP(5,1)=DP(1,1)/DP(1,4)-DP(2,1)/DP(2,4)
+ DP(5,2)=DP(1,2)/DP(1,4)-DP(2,2)/DP(2,4)
+ DP(5,3)=DP(1,3)/DP(1,4)-DP(2,3)/DP(2,4)
+ IF(DP(5,1)**2.LE.DP(5,2)**2+DP(5,3)**2) DP(3,1)=1.
+ IF(DP(5,1)**2.GT.DP(5,2)**2+DP(5,3)**2) DP(3,3)=1.
+ IF(DP(5,2)**2.LE.DP(5,1)**2+DP(5,3)**2) DP(4,2)=1.
+ IF(DP(5,2)**2.GT.DP(5,1)**2+DP(5,3)**2) DP(4,3)=1.
+ DHC12=DFOUR(1,2)
+ DHCX1=DFOUR(3,1)/DHC12
+ DHCX2=DFOUR(3,2)/DHC12
+ DHCXX=1D0/SQRT(1D0+2D0*DHCX1*DHCX2*DHC12)
+ DHCY1=DFOUR(4,1)/DHC12
+ DHCY2=DFOUR(4,2)/DHC12
+ DHCYX=DHCXX*(DHCX1*DHCY2+DHCX2*DHCY1)*DHC12
+ DHCYY=1D0/SQRT(1D0+2D0*DHCY1*DHCY2*DHC12-DHCYX**2)
+ DO 730 J=1,4
+ DP(3,J)=DHCXX*(DP(3,J)-DHCX2*DP(1,J)-DHCX1*DP(2,J))
+ P(IN3,J)=DP(3,J)
+ P(IN3+1,J)=DHCYY*(DP(4,J)-DHCY2*DP(1,J)-DHCY1*DP(2,J)-
+ & DHCYX*DP(3,J))
+ 730 CONTINUE
+ ELSE
+ DO 740 J=1,4
+ P(IN3+2,J)=P(IN3,J)
+ P(IN3+3,J)=P(IN3+1,J)
+ 740 CONTINUE
+ ENDIF
+ 750 CONTINUE
+
+C...Remove energy used up in junction string fragmentation.
+ IF(MJU(1)+MJU(2).GT.0) THEN
+ DO 770 JT=1,2
+ IF(NJS(JT).EQ.0) GOTO 770
+ DO 760 J=1,4
+ P(N+NRS,J)=P(N+NRS,J)-PJS(JT+2,J)
+ 760 CONTINUE
+ 770 CONTINUE
+ ENDIF
+
+C...Produce new particle: side, origin.
+ 780 I=I+1
+ IF(2*I-NSAV.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYSTRF:) no more memory left in LUJETS')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ JT=1.5+RLY(0)
+ IF(IABS(KFL(3-JT)).GT.10) JT=3-JT
+ IF(IABS(KFL(3-JT)).GE.4.AND.IABS(KFL(3-JT)).LE.8) JT=3-JT
+ JR=3-JT
+ JS=3-2*JT
+ IRANK(JT)=IRANK(JT)+1
+ K(I,1)=1
+ K(I,3)=IE(JT)
+ K(I,4)=0
+ K(I,5)=0
+
+C...Generate flavour, hadron and pT.
+ 790 CALL LYKFDI(KFL(JT),0,KFL(3),K(I,2))
+ IF(K(I,2).EQ.0) GOTO 640
+ IF(MSTJ(12).GE.3.AND.IRANK(JT).EQ.1.AND.IABS(KFL(JT)).LE.10.AND.
+ &IABS(KFL(3)).GT.10) THEN
+ IF(RLY(0).GT.PARJ(19)) GOTO 790
+ ENDIF
+ P(I,5)=UYMASS(K(I,2))
+ CALL LYPTDI(KFL(JT),PX(3),PY(3))
+ PR(JT)=P(I,5)**2+(PX(JT)+PX(3))**2+(PY(JT)+PY(3))**2
+
+C...Final hadrons for small invariant mass.
+ MSTJ(93)=1
+ PMQ(3)=UYMASS(KFL(3))
+ PARJST=PARJ(33)
+ IF(MSTJ(11).EQ.2) PARJST=PARJ(34)
+ WMIN=PARJST+PMQ(1)+PMQ(2)+PARJ(36)*PMQ(3)
+ IF(IABS(KFL(JT)).GT.10.AND.IABS(KFL(3)).GT.10) WMIN=
+ &WMIN-0.5*PARJ(36)*PMQ(3)
+ WREM2=FOUR(N+NRS,N+NRS)
+ IF(WREM2.LT.0.10) GOTO 640
+ IF(WREM2.LT.MAX(WMIN*(1.+(2.*RLY(0)-1.)*PARJ(37)),
+ &PARJ(32)+PMQ(1)+PMQ(2))**2) GOTO 940
+
+C...Choose z, which gives Gamma. Shift z for heavy flavours.
+ CALL LYZDIS(KFL(JT),KFL(3),PR(JT),Z)
+ IF(IABS(KFL(JT)).GE.4.AND.IABS(KFL(JT)).LE.8.AND.
+ &MSTU(90).LT.8) THEN
+ MSTU(90)=MSTU(90)+1
+ MSTU(90+MSTU(90))=I
+ PARU(90+MSTU(90))=Z
+ ENDIF
+ KFL1A=IABS(KFL(1))
+ KFL2A=IABS(KFL(2))
+ IF(MAX(MOD(KFL1A,10),MOD(KFL1A/1000,10),MOD(KFL2A,10),
+ &MOD(KFL2A/1000,10)).GE.4) THEN
+ PR(JR)=(PMQ(JR)+PMQ(3))**2+(PX(JR)-PX(3))**2+(PY(JR)-PY(3))**2
+ PW12=SQRT(MAX(0.,(WREM2-PR(1)-PR(2))**2-4.*PR(1)*PR(2)))
+ Z=(WREM2+PR(JT)-PR(JR)+PW12*(2.*Z-1.))/(2.*WREM2)
+ PR(JR)=(PMQ(JR)+PARJST)**2+(PX(JR)-PX(3))**2+(PY(JR)-PY(3))**2
+ IF((1.-Z)*(WREM2-PR(JT)/Z).LT.PR(JR)) GOTO 940
+ ENDIF
+ GAM(3)=(1.-Z)*(GAM(JT)+PR(JT)/Z)
+ DO 800 J=1,3
+ IN(J)=IN(3*JT+J)
+ 800 CONTINUE
+
+C...Stepping within or from 'low' string region easy.
+ IF(IN(1)+1.EQ.IN(2).AND.Z*P(IN(1)+2,3)*P(IN(2)+2,3)*
+ &P(IN(1),5)**2.GE.PR(JT)) THEN
+ P(IN(JT)+2,4)=Z*P(IN(JT)+2,3)
+ P(IN(JR)+2,4)=PR(JT)/(P(IN(JT)+2,4)*P(IN(1),5)**2)
+ DO 810 J=1,4
+ P(I,J)=(PX(JT)+PX(3))*P(IN(3),J)+(PY(JT)+PY(3))*P(IN(3)+1,J)
+ 810 CONTINUE
+ GOTO 900
+ ELSEIF(IN(1)+1.EQ.IN(2)) THEN
+ P(IN(JR)+2,4)=P(IN(JR)+2,3)
+ P(IN(JR)+2,JT)=1.
+ IN(JR)=IN(JR)+4*JS
+ IF(JS*IN(JR).GT.JS*IN(4*JR)) GOTO 640
+ IF(FOUR(IN(1),IN(2)).LE.1E-2) THEN
+ P(IN(JT)+2,4)=P(IN(JT)+2,3)
+ P(IN(JT)+2,JT)=0.
+ IN(JT)=IN(JT)+4*JS
+ ENDIF
+ ENDIF
+
+C...Find new transverse directions (i.e. spacelike string vectors).
+ 820 IF(JS*IN(1).GT.JS*IN(3*JR+1).OR.JS*IN(2).GT.JS*IN(3*JR+2).OR.
+ &IN(1).GT.IN(2)) GOTO 640
+ IF(IN(1).NE.IN(3*JT+1).OR.IN(2).NE.IN(3*JT+2)) THEN
+ DO 830 J=1,4
+ DP(1,J)=P(IN(1),J)
+ DP(2,J)=P(IN(2),J)
+ DP(3,J)=0.
+ DP(4,J)=0.
+ 830 CONTINUE
+ DP(1,4)=SQRT(DP(1,1)**2+DP(1,2)**2+DP(1,3)**2)
+ DP(2,4)=SQRT(DP(2,1)**2+DP(2,2)**2+DP(2,3)**2)
+ DHC12=DFOUR(1,2)
+ IF(DHC12.LE.1E-2) THEN
+ P(IN(JT)+2,4)=P(IN(JT)+2,3)
+ P(IN(JT)+2,JT)=0.
+ IN(JT)=IN(JT)+4*JS
+ GOTO 820
+ ENDIF
+ IN(3)=N+NR+4*NS+5
+ DP(5,1)=DP(1,1)/DP(1,4)-DP(2,1)/DP(2,4)
+ DP(5,2)=DP(1,2)/DP(1,4)-DP(2,2)/DP(2,4)
+ DP(5,3)=DP(1,3)/DP(1,4)-DP(2,3)/DP(2,4)
+ IF(DP(5,1)**2.LE.DP(5,2)**2+DP(5,3)**2) DP(3,1)=1.
+ IF(DP(5,1)**2.GT.DP(5,2)**2+DP(5,3)**2) DP(3,3)=1.
+ IF(DP(5,2)**2.LE.DP(5,1)**2+DP(5,3)**2) DP(4,2)=1.
+ IF(DP(5,2)**2.GT.DP(5,1)**2+DP(5,3)**2) DP(4,3)=1.
+ DHCX1=DFOUR(3,1)/DHC12
+ DHCX2=DFOUR(3,2)/DHC12
+ DHCXX=1D0/SQRT(1D0+2D0*DHCX1*DHCX2*DHC12)
+ DHCY1=DFOUR(4,1)/DHC12
+ DHCY2=DFOUR(4,2)/DHC12
+ DHCYX=DHCXX*(DHCX1*DHCY2+DHCX2*DHCY1)*DHC12
+ DHCYY=1D0/SQRT(1D0+2D0*DHCY1*DHCY2*DHC12-DHCYX**2)
+ DO 840 J=1,4
+ DP(3,J)=DHCXX*(DP(3,J)-DHCX2*DP(1,J)-DHCX1*DP(2,J))
+ P(IN(3),J)=DP(3,J)
+ P(IN(3)+1,J)=DHCYY*(DP(4,J)-DHCY2*DP(1,J)-DHCY1*DP(2,J)-
+ & DHCYX*DP(3,J))
+ 840 CONTINUE
+C...Express pT with respect to new axes, if sensible.
+ PXP=-(PX(3)*FOUR(IN(3*JT+3),IN(3))+PY(3)*
+ & FOUR(IN(3*JT+3)+1,IN(3)))
+ PYP=-(PX(3)*FOUR(IN(3*JT+3),IN(3)+1)+PY(3)*
+ & FOUR(IN(3*JT+3)+1,IN(3)+1))
+ IF(ABS(PXP**2+PYP**2-PX(3)**2-PY(3)**2).LT.0.01) THEN
+ PX(3)=PXP
+ PY(3)=PYP
+ ENDIF
+ ENDIF
+
+C...Sum up known four-momentum. Gives coefficients for m2 expression.
+ DO 870 J=1,4
+ DHG(J)=0.
+ P(I,J)=PX(JT)*P(IN(3*JT+3),J)+PY(JT)*P(IN(3*JT+3)+1,J)+
+ &PX(3)*P(IN(3),J)+PY(3)*P(IN(3)+1,J)
+ DO 850 IN1=IN(3*JT+1),IN(1)-4*JS,4*JS
+ P(I,J)=P(I,J)+P(IN1+2,3)*P(IN1,J)
+ 850 CONTINUE
+ DO 860 IN2=IN(3*JT+2),IN(2)-4*JS,4*JS
+ P(I,J)=P(I,J)+P(IN2+2,3)*P(IN2,J)
+ 860 CONTINUE
+ 870 CONTINUE
+ DHM(1)=FOUR(I,I)
+ DHM(2)=2.*FOUR(I,IN(1))
+ DHM(3)=2.*FOUR(I,IN(2))
+ DHM(4)=2.*FOUR(IN(1),IN(2))
+
+C...Find coefficients for Gamma expression.
+ DO 890 IN2=IN(1)+1,IN(2),4
+ DO 880 IN1=IN(1),IN2-1,4
+ DHC=2.*FOUR(IN1,IN2)
+ DHG(1)=DHG(1)+P(IN1+2,JT)*P(IN2+2,JT)*DHC
+ IF(IN1.EQ.IN(1)) DHG(2)=DHG(2)-JS*P(IN2+2,JT)*DHC
+ IF(IN2.EQ.IN(2)) DHG(3)=DHG(3)+JS*P(IN1+2,JT)*DHC
+ IF(IN1.EQ.IN(1).AND.IN2.EQ.IN(2)) DHG(4)=DHG(4)-DHC
+ 880 CONTINUE
+ 890 CONTINUE
+
+C...Solve (m2, Gamma) equation system for energies taken.
+ DHS1=DHM(JR+1)*DHG(4)-DHM(4)*DHG(JR+1)
+ IF(ABS(DHS1).LT.1E-4) GOTO 640
+ DHS2=DHM(4)*(GAM(3)-DHG(1))-DHM(JT+1)*DHG(JR+1)-DHG(4)*
+ &(P(I,5)**2-DHM(1))+DHG(JT+1)*DHM(JR+1)
+ DHS3=DHM(JT+1)*(GAM(3)-DHG(1))-DHG(JT+1)*(P(I,5)**2-DHM(1))
+ P(IN(JR)+2,4)=0.5*(SQRT(MAX(0D0,DHS2**2-4.*DHS1*DHS3))/ABS(DHS1)-
+ &DHS2/DHS1)
+ IF(DHM(JT+1)+DHM(4)*P(IN(JR)+2,4).LE.0.) GOTO 640
+ P(IN(JT)+2,4)=(P(I,5)**2-DHM(1)-DHM(JR+1)*P(IN(JR)+2,4))/
+ &(DHM(JT+1)+DHM(4)*P(IN(JR)+2,4))
+
+C...Step to new region if necessary.
+ IF(P(IN(JR)+2,4).GT.P(IN(JR)+2,3)) THEN
+ P(IN(JR)+2,4)=P(IN(JR)+2,3)
+ P(IN(JR)+2,JT)=1.
+ IN(JR)=IN(JR)+4*JS
+ IF(JS*IN(JR).GT.JS*IN(4*JR)) GOTO 640
+ IF(FOUR(IN(1),IN(2)).LE.1E-2) THEN
+ P(IN(JT)+2,4)=P(IN(JT)+2,3)
+ P(IN(JT)+2,JT)=0.
+ IN(JT)=IN(JT)+4*JS
+ ENDIF
+ GOTO 820
+ ELSEIF(P(IN(JT)+2,4).GT.P(IN(JT)+2,3)) THEN
+ P(IN(JT)+2,4)=P(IN(JT)+2,3)
+ P(IN(JT)+2,JT)=0.
+ IN(JT)=IN(JT)+4*JS
+ GOTO 820
+ ENDIF
+
+C...Four-momentum of particle. Remaining quantities. Loop back.
+ 900 DO 910 J=1,4
+ P(I,J)=P(I,J)+P(IN(1)+2,4)*P(IN(1),J)+P(IN(2)+2,4)*P(IN(2),J)
+ P(N+NRS,J)=P(N+NRS,J)-P(I,J)
+ 910 CONTINUE
+ IF(P(I,4).LT.P(I,5)) GOTO 640
+ KFL(JT)=-KFL(3)
+ PMQ(JT)=PMQ(3)
+ PX(JT)=-PX(3)
+ PY(JT)=-PY(3)
+ GAM(JT)=GAM(3)
+ IF(IN(3).NE.IN(3*JT+3)) THEN
+ DO 920 J=1,4
+ P(IN(3*JT+3),J)=P(IN(3),J)
+ P(IN(3*JT+3)+1,J)=P(IN(3)+1,J)
+ 920 CONTINUE
+ ENDIF
+ DO 930 JQ=1,2
+ IN(3*JT+JQ)=IN(JQ)
+ P(IN(JQ)+2,3)=P(IN(JQ)+2,3)-P(IN(JQ)+2,4)
+ P(IN(JQ)+2,JT)=P(IN(JQ)+2,JT)-JS*(3-2*JQ)*P(IN(JQ)+2,4)
+ 930 CONTINUE
+ GOTO 780
+
+C...Final hadron: side, flavour, hadron, mass.
+ 940 I=I+1
+ K(I,1)=1
+ K(I,3)=IE(JR)
+ K(I,4)=0
+ K(I,5)=0
+ CALL LYKFDI(KFL(JR),-KFL(3),KFLDMP,K(I,2))
+ IF(K(I,2).EQ.0) GOTO 640
+ P(I,5)=UYMASS(K(I,2))
+ PR(JR)=P(I,5)**2+(PX(JR)-PX(3))**2+(PY(JR)-PY(3))**2
+
+C...Final two hadrons: find common setup of four-vectors.
+ JQ=1
+ IF(P(IN(4)+2,3)*P(IN(5)+2,3)*FOUR(IN(4),IN(5)).LT.P(IN(7),3)*
+ &P(IN(8),3)*FOUR(IN(7),IN(8))) JQ=2
+ DHC12=FOUR(IN(3*JQ+1),IN(3*JQ+2))
+ DHR1=FOUR(N+NRS,IN(3*JQ+2))/DHC12
+ DHR2=FOUR(N+NRS,IN(3*JQ+1))/DHC12
+ IF(IN(4).NE.IN(7).OR.IN(5).NE.IN(8)) THEN
+ PX(3-JQ)=-FOUR(N+NRS,IN(3*JQ+3))-PX(JQ)
+ PY(3-JQ)=-FOUR(N+NRS,IN(3*JQ+3)+1)-PY(JQ)
+ PR(3-JQ)=P(I+(JT+JQ-3)**2-1,5)**2+(PX(3-JQ)+(2*JQ-3)*JS*
+ & PX(3))**2+(PY(3-JQ)+(2*JQ-3)*JS*PY(3))**2
+ ENDIF
+
+C...Solve kinematics for final two hadrons, if possible.
+ WREM2=WREM2+(PX(1)+PX(2))**2+(PY(1)+PY(2))**2
+ FD=(SQRT(PR(1))+SQRT(PR(2)))/SQRT(WREM2)
+ IF(MJU(1)+MJU(2).NE.0.AND.I.EQ.ISAV+2.AND.FD.GE.1.) GOTO 200
+ IF(FD.GE.1.) GOTO 640
+ FA=WREM2+PR(JT)-PR(JR)
+ IF(MSTJ(11).NE.2) PREV=0.5*EXP(MAX(-50.,LOG(FD)*PARJ(38)*
+ &(PR(1)+PR(2))**2))
+ IF(MSTJ(11).EQ.2) PREV=0.5*FD**PARJ(39)
+ FB=SIGN(SQRT(MAX(0.,FA**2-4.*WREM2*PR(JT))),JS*(RLY(0)-PREV))
+ KFL1A=IABS(KFL(1))
+ KFL2A=IABS(KFL(2))
+ IF(MAX(MOD(KFL1A,10),MOD(KFL1A/1000,10),MOD(KFL2A,10),
+ &MOD(KFL2A/1000,10)).GE.6) FB=SIGN(SQRT(MAX(0.,FA**2-
+ &4.*WREM2*PR(JT))),FLOAT(JS))
+ DO 950 J=1,4
+ P(I-1,J)=(PX(JT)+PX(3))*P(IN(3*JQ+3),J)+(PY(JT)+PY(3))*
+ &P(IN(3*JQ+3)+1,J)+0.5*(DHR1*(FA+FB)*P(IN(3*JQ+1),J)+
+ &DHR2*(FA-FB)*P(IN(3*JQ+2),J))/WREM2
+ P(I,J)=P(N+NRS,J)-P(I-1,J)
+ 950 CONTINUE
+ IF(P(I-1,4).LT.P(I-1,5).OR.P(I,4).LT.P(I,5)) GOTO 640
+
+C...Mark jets as fragmented and give daughter pointers.
+ N=I-NRS+1
+ DO 960 I=NSAV+1,NSAV+NP
+ IM=K(I,3)
+ K(IM,1)=K(IM,1)+10
+ IF(MSTU(16).NE.2) THEN
+ K(IM,4)=NSAV+1
+ K(IM,5)=NSAV+1
+ ELSE
+ K(IM,4)=NSAV+2
+ K(IM,5)=N
+ ENDIF
+ 960 CONTINUE
+
+C...Document string system. Move up particles.
+ NSAV=NSAV+1
+ K(NSAV,1)=11
+ K(NSAV,2)=92
+ K(NSAV,3)=IP
+ K(NSAV,4)=NSAV+1
+ K(NSAV,5)=N
+ DO 970 J=1,4
+ P(NSAV,J)=DPS(J)
+ V(NSAV,J)=V(IP,J)
+ 970 CONTINUE
+ P(NSAV,5)=SQRT(MAX(0D0,DPS(4)**2-DPS(1)**2-DPS(2)**2-DPS(3)**2))
+ V(NSAV,5)=0.
+ DO 990 I=NSAV+1,N
+ DO 980 J=1,5
+ K(I,J)=K(I+NRS-1,J)
+ P(I,J)=P(I+NRS-1,J)
+ V(I,J)=0.
+ 980 CONTINUE
+ 990 CONTINUE
+ MSTU91=MSTU(90)
+ DO 1000 IZ=MSTU90+1,MSTU91
+ MSTU9T(IZ)=MSTU(90+IZ)-NRS+1-NSAV+N
+ PARU9T(IZ)=PARU(90+IZ)
+ 1000 CONTINUE
+ MSTU(90)=MSTU90
+
+C...Order particles in rank along the chain. Update mother pointer.
+ DO 1020 I=NSAV+1,N
+ DO 1010 J=1,5
+ K(I-NSAV+N,J)=K(I,J)
+ P(I-NSAV+N,J)=P(I,J)
+ 1010 CONTINUE
+ 1020 CONTINUE
+ I1=NSAV
+ DO 1050 I=N+1,2*N-NSAV
+ IF(K(I,3).NE.IE(1)) GOTO 1050
+ I1=I1+1
+ DO 1030 J=1,5
+ K(I1,J)=K(I,J)
+ P(I1,J)=P(I,J)
+ 1030 CONTINUE
+ IF(MSTU(16).NE.2) K(I1,3)=NSAV
+ DO 1040 IZ=MSTU90+1,MSTU91
+ IF(MSTU9T(IZ).EQ.I) THEN
+ MSTU(90)=MSTU(90)+1
+ MSTU(90+MSTU(90))=I1
+ PARU(90+MSTU(90))=PARU9T(IZ)
+ ENDIF
+ 1040 CONTINUE
+ 1050 CONTINUE
+ DO 1080 I=2*N-NSAV,N+1,-1
+ IF(K(I,3).EQ.IE(1)) GOTO 1080
+ I1=I1+1
+ DO 1060 J=1,5
+ K(I1,J)=K(I,J)
+ P(I1,J)=P(I,J)
+ 1060 CONTINUE
+ IF(MSTU(16).NE.2) K(I1,3)=NSAV
+ DO 1070 IZ=MSTU90+1,MSTU91
+ IF(MSTU9T(IZ).EQ.I) THEN
+ MSTU(90)=MSTU(90)+1
+ MSTU(90+MSTU(90))=I1
+ PARU(90+MSTU(90))=PARU9T(IZ)
+ ENDIF
+ 1070 CONTINUE
+ 1080 CONTINUE
+
+C...Boost back particle system. Set production vertices.
+ IF(MBST.EQ.0) THEN
+ MSTU(33)=1
+ CALL LUDBRB(NSAV+1,N,0.,0.,DPS(1)/DPS(4),DPS(2)/DPS(4),
+ & DPS(3)/DPS(4))
+ ELSE
+ DO 1090 I=NSAV+1,N
+ HHPMT=P(I,1)**2+P(I,2)**2+P(I,5)**2
+ IF(P(I,3).GT.0.) THEN
+ HHPEZ=(P(I,4)+P(I,3))*HHBZ
+ P(I,3)=0.5*(HHPEZ-HHPMT/HHPEZ)
+ P(I,4)=0.5*(HHPEZ+HHPMT/HHPEZ)
+ ELSE
+ HHPEZ=(P(I,4)-P(I,3))/HHBZ
+ P(I,3)=-0.5*(HHPEZ-HHPMT/HHPEZ)
+ P(I,4)=0.5*(HHPEZ+HHPMT/HHPEZ)
+ ENDIF
+ 1090 CONTINUE
+ ENDIF
+ DO 1110 I=NSAV+1,N
+ DO 1100 J=1,4
+ V(I,J)=V(IP,J)
+ 1100 CONTINUE
+ 1110 CONTINUE
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYINDF(IP)
+
+C...Purpose: to handle the fragmentation of a jet system (or a single
+C...jet) according to independent fragmentation models.
+ IMPLICIT DOUBLE PRECISION(D)
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION DPS(5),PSI(4),NFI(3),NFL(3),IFET(3),KFLF(3),
+ &KFLO(2),PXO(2),PYO(2),WO(2)
+
+C...Reset counters. Identify parton system and take copy. Check flavour.
+ NSAV=N
+ MSTU90=MSTU(90)
+ NJET=0
+ KQSUM=0
+ DO 100 J=1,5
+ DPS(J)=0.
+ 100 CONTINUE
+ I=IP-1
+ 110 I=I+1
+ IF(I.GT.MIN(N,MSTU(4)-MSTU(32))) THEN
+ CALL LYERRM(12,'(LYINDF:) failed to reconstruct jet system')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IF(K(I,1).NE.1.AND.K(I,1).NE.2) GOTO 110
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0) GOTO 110
+ KQ=KCHG(KC,2)*ISIGN(1,K(I,2))
+ IF(KQ.EQ.0) GOTO 110
+ NJET=NJET+1
+ IF(KQ.NE.2) KQSUM=KQSUM+KQ
+ DO 120 J=1,5
+ K(NSAV+NJET,J)=K(I,J)
+ P(NSAV+NJET,J)=P(I,J)
+ DPS(J)=DPS(J)+P(I,J)
+ 120 CONTINUE
+ K(NSAV+NJET,3)=I
+ IF(K(I,1).EQ.2.OR.(MSTJ(3).LE.5.AND.N.GT.I.AND.
+ &K(I+1,1).EQ.2)) GOTO 110
+ IF(NJET.NE.1.AND.KQSUM.NE.0) THEN
+ CALL LYERRM(12,'(LYINDF:) unphysical flavour combination')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Boost copied system to CM frame. Find CM energy and sum flavours.
+ IF(NJET.NE.1) THEN
+ MSTU(33)=1
+ CALL LUDBRB(NSAV+1,NSAV+NJET,0.,0.,-DPS(1)/DPS(4),
+ & -DPS(2)/DPS(4),-DPS(3)/DPS(4))
+ ENDIF
+ PECM=0.
+ DO 130 J=1,3
+ NFI(J)=0
+ 130 CONTINUE
+ DO 140 I=NSAV+1,NSAV+NJET
+ PECM=PECM+P(I,4)
+ KFA=IABS(K(I,2))
+ IF(KFA.LE.3) THEN
+ NFI(KFA)=NFI(KFA)+ISIGN(1,K(I,2))
+ ELSEIF(KFA.GT.1000) THEN
+ KFLA=MOD(KFA/1000,10)
+ KFLB=MOD(KFA/100,10)
+ IF(KFLA.LE.3) NFI(KFLA)=NFI(KFLA)+ISIGN(1,K(I,2))
+ IF(KFLB.LE.3) NFI(KFLB)=NFI(KFLB)+ISIGN(1,K(I,2))
+ ENDIF
+ 140 CONTINUE
+
+C...Loop over attempts made. Reset counters.
+ NTRY=0
+ 150 NTRY=NTRY+1
+ IF(NTRY.GT.200) THEN
+ CALL LYERRM(14,'(LYINDF:) caught in infinite loop')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ N=NSAV+NJET
+ MSTU(90)=MSTU90
+ DO 160 J=1,3
+ NFL(J)=NFI(J)
+ IFET(J)=0
+ KFLF(J)=0
+ 160 CONTINUE
+
+C...Loop over jets to be fragmented.
+ DO 230 IP1=NSAV+1,NSAV+NJET
+ MSTJ(91)=0
+ NSAV1=N
+ MSTU91=MSTU(90)
+
+C...Initial flavour and momentum values. Jet along +z axis.
+ KFLH=IABS(K(IP1,2))
+ IF(KFLH.GT.10) KFLH=MOD(KFLH/1000,10)
+ KFLO(2)=0
+ WF=P(IP1,4)+SQRT(P(IP1,1)**2+P(IP1,2)**2+P(IP1,3)**2)
+
+C...Initial values for quark or diquark jet.
+ 170 IF(IABS(K(IP1,2)).NE.21) THEN
+ NSTR=1
+ KFLO(1)=K(IP1,2)
+ CALL LYPTDI(0,PXO(1),PYO(1))
+ WO(1)=WF
+
+C...Initial values for gluon treated like random quark jet.
+ ELSEIF(MSTJ(2).LE.2) THEN
+ NSTR=1
+ IF(MSTJ(2).EQ.2) MSTJ(91)=1
+ KFLO(1)=INT(1.+(2.+PARJ(2))*RLY(0))*(-1)**INT(RLY(0)+0.5)
+ CALL LYPTDI(0,PXO(1),PYO(1))
+ WO(1)=WF
+
+C...Initial values for gluon treated like quark-antiquark jet pair,
+C...sharing energy according to Altarelli-Parisi splitting function.
+ ELSE
+ NSTR=2
+ IF(MSTJ(2).EQ.4) MSTJ(91)=1
+ KFLO(1)=INT(1.+(2.+PARJ(2))*RLY(0))*(-1)**INT(RLY(0)+0.5)
+ KFLO(2)=-KFLO(1)
+ CALL LYPTDI(0,PXO(1),PYO(1))
+ PXO(2)=-PXO(1)
+ PYO(2)=-PYO(1)
+ WO(1)=WF*RLY(0)**(1./3.)
+ WO(2)=WF-WO(1)
+ ENDIF
+
+C...Initial values for rank, flavour, pT and W+.
+ DO 220 ISTR=1,NSTR
+ 180 I=N
+ MSTU(90)=MSTU91
+ IRANK=0
+ KFL1=KFLO(ISTR)
+ PX1=PXO(ISTR)
+ PY1=PYO(ISTR)
+ W=WO(ISTR)
+
+C...New hadron. Generate flavour and hadron species.
+ 190 I=I+1
+ IF(I.GE.MSTU(4)-MSTU(32)-NJET-5) THEN
+ CALL LYERRM(11,'(LYINDF:) no more memory left in LUJETS')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IRANK=IRANK+1
+ K(I,1)=1
+ K(I,3)=IP1
+ K(I,4)=0
+ K(I,5)=0
+ 200 CALL LYKFDI(KFL1,0,KFL2,K(I,2))
+ IF(K(I,2).EQ.0) GOTO 180
+ IF(MSTJ(12).GE.3.AND.IRANK.EQ.1.AND.IABS(KFL1).LE.10.AND.
+ &IABS(KFL2).GT.10) THEN
+ IF(RLY(0).GT.PARJ(19)) GOTO 200
+ ENDIF
+
+C...Find hadron mass. Generate four-momentum.
+ P(I,5)=UYMASS(K(I,2))
+ CALL LYPTDI(KFL1,PX2,PY2)
+ P(I,1)=PX1+PX2
+ P(I,2)=PY1+PY2
+ PR=P(I,5)**2+P(I,1)**2+P(I,2)**2
+ CALL LYZDIS(KFL1,KFL2,PR,Z)
+ MZSAV=0
+ IF(IABS(KFL1).GE.4.AND.IABS(KFL1).LE.8.AND.MSTU(90).LT.8) THEN
+ MZSAV=1
+ MSTU(90)=MSTU(90)+1
+ MSTU(90+MSTU(90))=I
+ PARU(90+MSTU(90))=Z
+ ENDIF
+ P(I,3)=0.5*(Z*W-PR/MAX(1E-4,Z*W))
+ P(I,4)=0.5*(Z*W+PR/MAX(1E-4,Z*W))
+ IF(MSTJ(3).GE.1.AND.IRANK.EQ.1.AND.KFLH.GE.4.AND.
+ &P(I,3).LE.0.001) THEN
+ IF(W.GE.P(I,5)+0.5*PARJ(32)) GOTO 180
+ P(I,3)=0.0001
+ P(I,4)=SQRT(PR)
+ Z=P(I,4)/W
+ ENDIF
+
+C...Remaining flavour and momentum.
+ KFL1=-KFL2
+ PX1=-PX2
+ PY1=-PY2
+ W=(1.-Z)*W
+ DO 210 J=1,5
+ V(I,J)=0.
+ 210 CONTINUE
+
+C...Check if pL acceptable. Go back for new hadron if enough energy.
+ IF(MSTJ(3).GE.0.AND.P(I,3).LT.0.) THEN
+ I=I-1
+ IF(MZSAV.EQ.1) MSTU(90)=MSTU(90)-1
+ ENDIF
+ IF(W.GT.PARJ(31)) GOTO 190
+ N=I
+ 220 CONTINUE
+ IF(MOD(MSTJ(3),5).EQ.4.AND.N.EQ.NSAV1) WF=WF+0.1*PARJ(32)
+ IF(MOD(MSTJ(3),5).EQ.4.AND.N.EQ.NSAV1) GOTO 170
+
+C...Rotate jet to new direction.
+ THE=UYANGL(P(IP1,3),SQRT(P(IP1,1)**2+P(IP1,2)**2))
+ PHI=UYANGL(P(IP1,1),P(IP1,2))
+ MSTU(33)=1
+ CALL LUDBRB(NSAV1+1,N,THE,PHI,0D0,0D0,0D0)
+ K(K(IP1,3),4)=NSAV1+1
+ K(K(IP1,3),5)=N
+
+C...End of jet generation loop. Skip conservation in some cases.
+ 230 CONTINUE
+ IF(NJET.EQ.1.OR.MSTJ(3).LE.0) GOTO 490
+ IF(MOD(MSTJ(3),5).NE.0.AND.N-NSAV-NJET.LT.2) GOTO 150
+
+C...Subtract off produced hadron flavours, finished if zero.
+ DO 240 I=NSAV+NJET+1,N
+ KFA=IABS(K(I,2))
+ KFLA=MOD(KFA/1000,10)
+ KFLB=MOD(KFA/100,10)
+ KFLC=MOD(KFA/10,10)
+ IF(KFLA.EQ.0) THEN
+ IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)-ISIGN(1,K(I,2))*(-1)**KFLB
+ IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)+ISIGN(1,K(I,2))*(-1)**KFLB
+ ELSE
+ IF(KFLA.LE.3) NFL(KFLA)=NFL(KFLA)-ISIGN(1,K(I,2))
+ IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)-ISIGN(1,K(I,2))
+ IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)-ISIGN(1,K(I,2))
+ ENDIF
+ 240 CONTINUE
+ NREQ=(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3))-IABS(NFL(1)+
+ &NFL(2)+NFL(3)))/2+IABS(NFL(1)+NFL(2)+NFL(3))/3
+ IF(NREQ.EQ.0) GOTO 320
+
+C...Take away flavour of low-momentum particles until enough freedom.
+ NREM=0
+ 250 IREM=0
+ P2MIN=PECM**2
+ DO 260 I=NSAV+NJET+1,N
+ P2=P(I,1)**2+P(I,2)**2+P(I,3)**2
+ IF(K(I,1).EQ.1.AND.P2.LT.P2MIN) IREM=I
+ IF(K(I,1).EQ.1.AND.P2.LT.P2MIN) P2MIN=P2
+ 260 CONTINUE
+ IF(IREM.EQ.0) GOTO 150
+ K(IREM,1)=7
+ KFA=IABS(K(IREM,2))
+ KFLA=MOD(KFA/1000,10)
+ KFLB=MOD(KFA/100,10)
+ KFLC=MOD(KFA/10,10)
+ IF(KFLA.GE.4.OR.KFLB.GE.4) K(IREM,1)=8
+ IF(K(IREM,1).EQ.8) GOTO 250
+ IF(KFLA.EQ.0) THEN
+ ISGN=ISIGN(1,K(IREM,2))*(-1)**KFLB
+ IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)+ISGN
+ IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)-ISGN
+ ELSE
+ IF(KFLA.LE.3) NFL(KFLA)=NFL(KFLA)+ISIGN(1,K(IREM,2))
+ IF(KFLB.LE.3) NFL(KFLB)=NFL(KFLB)+ISIGN(1,K(IREM,2))
+ IF(KFLC.LE.3) NFL(KFLC)=NFL(KFLC)+ISIGN(1,K(IREM,2))
+ ENDIF
+ NREM=NREM+1
+ NREQ=(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3))-IABS(NFL(1)+
+ &NFL(2)+NFL(3)))/2+IABS(NFL(1)+NFL(2)+NFL(3))/3
+ IF(NREQ.GT.NREM) GOTO 250
+ DO 270 I=NSAV+NJET+1,N
+ IF(K(I,1).EQ.8) K(I,1)=1
+ 270 CONTINUE
+
+C...Find combination of existing and new flavours for hadron.
+ 280 NFET=2
+ IF(NFL(1)+NFL(2)+NFL(3).NE.0) NFET=3
+ IF(NREQ.LT.NREM) NFET=1
+ IF(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3)).EQ.0) NFET=0
+ DO 290 J=1,NFET
+ IFET(J)=1+(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3)))*RLY(0)
+ KFLF(J)=ISIGN(1,NFL(1))
+ IF(IFET(J).GT.IABS(NFL(1))) KFLF(J)=ISIGN(2,NFL(2))
+ IF(IFET(J).GT.IABS(NFL(1))+IABS(NFL(2))) KFLF(J)=ISIGN(3,NFL(3))
+ 290 CONTINUE
+ IF(NFET.EQ.2.AND.(IFET(1).EQ.IFET(2).OR.KFLF(1)*KFLF(2).GT.0))
+ &GOTO 280
+ IF(NFET.EQ.3.AND.(IFET(1).EQ.IFET(2).OR.IFET(1).EQ.IFET(3).OR.
+ &IFET(2).EQ.IFET(3).OR.KFLF(1)*KFLF(2).LT.0.OR.KFLF(1)*KFLF(3)
+ &.LT.0.OR.KFLF(1)*(NFL(1)+NFL(2)+NFL(3)).LT.0)) GOTO 280
+ IF(NFET.EQ.0) KFLF(1)=1+INT((2.+PARJ(2))*RLY(0))
+ IF(NFET.EQ.0) KFLF(2)=-KFLF(1)
+ IF(NFET.EQ.1) KFLF(2)=ISIGN(1+INT((2.+PARJ(2))*RLY(0)),-KFLF(1))
+ IF(NFET.LE.2) KFLF(3)=0
+ IF(KFLF(3).NE.0) THEN
+ KFLFC=ISIGN(1000*MAX(IABS(KFLF(1)),IABS(KFLF(3)))+
+ & 100*MIN(IABS(KFLF(1)),IABS(KFLF(3)))+1,KFLF(1))
+ IF(KFLF(1).EQ.KFLF(3).OR.(1.+3.*PARJ(4))*RLY(0).GT.1.)
+ & KFLFC=KFLFC+ISIGN(2,KFLFC)
+ ELSE
+ KFLFC=KFLF(1)
+ ENDIF
+ CALL LYKFDI(KFLFC,KFLF(2),KFLDMP,KF)
+ IF(KF.EQ.0) GOTO 280
+ DO 300 J=1,MAX(2,NFET)
+ NFL(IABS(KFLF(J)))=NFL(IABS(KFLF(J)))-ISIGN(1,KFLF(J))
+ 300 CONTINUE
+
+C...Store hadron at random among free positions.
+ NPOS=MIN(1+INT(RLY(0)*NREM),NREM)
+ DO 310 I=NSAV+NJET+1,N
+ IF(K(I,1).EQ.7) NPOS=NPOS-1
+ IF(K(I,1).EQ.1.OR.NPOS.NE.0) GOTO 310
+ K(I,1)=1
+ K(I,2)=KF
+ P(I,5)=UYMASS(K(I,2))
+ P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2)
+ 310 CONTINUE
+ NREM=NREM-1
+ NREQ=(IABS(NFL(1))+IABS(NFL(2))+IABS(NFL(3))-IABS(NFL(1)+
+ &NFL(2)+NFL(3)))/2+IABS(NFL(1)+NFL(2)+NFL(3))/3
+ IF(NREM.GT.0) GOTO 280
+
+C...Compensate for missing momentum in global scheme (3 options).
+ 320 IF(MOD(MSTJ(3),5).NE.0.AND.MOD(MSTJ(3),5).NE.4) THEN
+ DO 340 J=1,3
+ PSI(J)=0.
+ DO 330 I=NSAV+NJET+1,N
+ PSI(J)=PSI(J)+P(I,J)
+ 330 CONTINUE
+ 340 CONTINUE
+ PSI(4)=PSI(1)**2+PSI(2)**2+PSI(3)**2
+ PWS=0.
+ DO 350 I=NSAV+NJET+1,N
+ IF(MOD(MSTJ(3),5).EQ.1) PWS=PWS+P(I,4)
+ IF(MOD(MSTJ(3),5).EQ.2) PWS=PWS+SQRT(P(I,5)**2+(PSI(1)*P(I,1)+
+ & PSI(2)*P(I,2)+PSI(3)*P(I,3))**2/PSI(4))
+ IF(MOD(MSTJ(3),5).EQ.3) PWS=PWS+1.
+ 350 CONTINUE
+ DO 370 I=NSAV+NJET+1,N
+ IF(MOD(MSTJ(3),5).EQ.1) PW=P(I,4)
+ IF(MOD(MSTJ(3),5).EQ.2) PW=SQRT(P(I,5)**2+(PSI(1)*P(I,1)+
+ & PSI(2)*P(I,2)+PSI(3)*P(I,3))**2/PSI(4))
+ IF(MOD(MSTJ(3),5).EQ.3) PW=1.
+ DO 360 J=1,3
+ P(I,J)=P(I,J)-PSI(J)*PW/PWS
+ 360 CONTINUE
+ P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2)
+ 370 CONTINUE
+
+C...Compensate for missing momentum withing each jet separately.
+ ELSEIF(MOD(MSTJ(3),5).EQ.4) THEN
+ DO 390 I=N+1,N+NJET
+ K(I,1)=0
+ DO 380 J=1,5
+ P(I,J)=0.
+ 380 CONTINUE
+ 390 CONTINUE
+ DO 410 I=NSAV+NJET+1,N
+ IR1=K(I,3)
+ IR2=N+IR1-NSAV
+ K(IR2,1)=K(IR2,1)+1
+ PLS=(P(I,1)*P(IR1,1)+P(I,2)*P(IR1,2)+P(I,3)*P(IR1,3))/
+ & (P(IR1,1)**2+P(IR1,2)**2+P(IR1,3)**2)
+ DO 400 J=1,3
+ P(IR2,J)=P(IR2,J)+P(I,J)-PLS*P(IR1,J)
+ 400 CONTINUE
+ P(IR2,4)=P(IR2,4)+P(I,4)
+ P(IR2,5)=P(IR2,5)+PLS
+ 410 CONTINUE
+ PSS=0.
+ DO 420 I=N+1,N+NJET
+ IF(K(I,1).NE.0) PSS=PSS+P(I,4)/(PECM*(0.8*P(I,5)+0.2))
+ 420 CONTINUE
+ DO 440 I=NSAV+NJET+1,N
+ IR1=K(I,3)
+ IR2=N+IR1-NSAV
+ PLS=(P(I,1)*P(IR1,1)+P(I,2)*P(IR1,2)+P(I,3)*P(IR1,3))/
+ & (P(IR1,1)**2+P(IR1,2)**2+P(IR1,3)**2)
+ DO 430 J=1,3
+ P(I,J)=P(I,J)-P(IR2,J)/K(IR2,1)+(1./(P(IR2,5)*PSS)-1.)*PLS*
+ & P(IR1,J)
+ 430 CONTINUE
+ P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2)
+ 440 CONTINUE
+ ENDIF
+
+C...Scale momenta for energy conservation.
+ IF(MOD(MSTJ(3),5).NE.0) THEN
+ PMS=0.
+ PES=0.
+ PQS=0.
+ DO 450 I=NSAV+NJET+1,N
+ PMS=PMS+P(I,5)
+ PES=PES+P(I,4)
+ PQS=PQS+P(I,5)**2/P(I,4)
+ 450 CONTINUE
+ IF(PMS.GE.PECM) GOTO 150
+ NECO=0
+ 460 NECO=NECO+1
+ PFAC=(PECM-PQS)/(PES-PQS)
+ PES=0.
+ PQS=0.
+ DO 480 I=NSAV+NJET+1,N
+ DO 470 J=1,3
+ P(I,J)=PFAC*P(I,J)
+ 470 CONTINUE
+ P(I,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2+P(I,5)**2)
+ PES=PES+P(I,4)
+ PQS=PQS+P(I,5)**2/P(I,4)
+ 480 CONTINUE
+ IF(NECO.LT.10.AND.ABS(PECM-PES).GT.2E-6*PECM) GOTO 460
+ ENDIF
+
+C...Origin of produced particles and parton daughter pointers.
+ 490 DO 500 I=NSAV+NJET+1,N
+ IF(MSTU(16).NE.2) K(I,3)=NSAV+1
+ IF(MSTU(16).EQ.2) K(I,3)=K(K(I,3),3)
+ 500 CONTINUE
+ DO 510 I=NSAV+1,NSAV+NJET
+ I1=K(I,3)
+ K(I1,1)=K(I1,1)+10
+ IF(MSTU(16).NE.2) THEN
+ K(I1,4)=NSAV+1
+ K(I1,5)=NSAV+1
+ ELSE
+ K(I1,4)=K(I1,4)-NJET+1
+ K(I1,5)=K(I1,5)-NJET+1
+ IF(K(I1,5).LT.K(I1,4)) THEN
+ K(I1,4)=0
+ K(I1,5)=0
+ ENDIF
+ ENDIF
+ 510 CONTINUE
+
+C...Document independent fragmentation system. Remove copy of jets.
+ NSAV=NSAV+1
+ K(NSAV,1)=11
+ K(NSAV,2)=93
+ K(NSAV,3)=IP
+ K(NSAV,4)=NSAV+1
+ K(NSAV,5)=N-NJET+1
+ DO 520 J=1,4
+ P(NSAV,J)=DPS(J)
+ V(NSAV,J)=V(IP,J)
+ 520 CONTINUE
+ P(NSAV,5)=SQRT(MAX(0D0,DPS(4)**2-DPS(1)**2-DPS(2)**2-DPS(3)**2))
+ V(NSAV,5)=0.
+ DO 540 I=NSAV+NJET,N
+ DO 530 J=1,5
+ K(I-NJET+1,J)=K(I,J)
+ P(I-NJET+1,J)=P(I,J)
+ V(I-NJET+1,J)=V(I,J)
+ 530 CONTINUE
+ 540 CONTINUE
+ N=N-NJET+1
+ DO 550 IZ=MSTU90+1,MSTU(90)
+ MSTU(90+IZ)=MSTU(90+IZ)-NJET+1
+ 550 CONTINUE
+
+C...Boost back particle system. Set production vertices.
+ IF(NJET.NE.1) CALL LUDBRB(NSAV+1,N,0.,0.,DPS(1)/DPS(4),
+ &DPS(2)/DPS(4),DPS(3)/DPS(4))
+ DO 570 I=NSAV+1,N
+ DO 560 J=1,4
+ V(I,J)=V(IP,J)
+ 560 CONTINUE
+ 570 CONTINUE
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYDECY(IP)
+
+C...Purpose: to handle the decay of unstable particles.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/,/LYDAT3/
+ DIMENSION VDCY(4),KFLO(4),KFL1(4),PV(10,5),RORD(10),UE(3),BE(3),
+ &WTCOR(10),PTAU(4),PCMTAU(4)
+ DOUBLE PRECISION DBETAU(3)
+ DATA WTCOR/2.,5.,15.,60.,250.,1500.,1.2E4,1.2E5,150.,16./
+
+C...Functions: momentum in two-particle decays, four-product and
+C...matrix element times phase space in weak decays.
+ PAWT(A,B,C)=SQRT(ABS((A**2-(B+C)**2)*(A**2-(B-C)**2)))/(2.*A)
+C...........added ABS because would go 10**-7 LT 0 (precision thing?)
+C...........once per few 10**5 events -- jmiles 22.June.02
+ FOUR(I,J)=P(I,4)*P(J,4)-P(I,1)*P(J,1)-P(I,2)*P(J,2)-P(I,3)*P(J,3)
+ HMEPS(HA)=((1.-HRQ-HA)**2+3.*HA*(1.+HRQ-HA))*
+ &SQRT((1.-HRQ-HA)**2-4.*HRQ*HA)
+
+C...Initial values.
+ NTRY=0
+ NSAV=N
+ KFA=IABS(K(IP,2))
+ KFS=ISIGN(1,K(IP,2))
+ KC=LYCOMP(KFA)
+ MSTJ(92)=0
+
+C...Choose lifetime and determine decay vertex.
+ IF(K(IP,1).EQ.5) THEN
+ V(IP,5)=0.
+ ELSEIF(K(IP,1).NE.4) THEN
+ V(IP,5)=-PMAS(KC,4)*LOG(RLY(0))
+ ENDIF
+ DO 100 J=1,4
+ VDCY(J)=V(IP,J)+V(IP,5)*P(IP,J)/P(IP,5)
+ 100 CONTINUE
+
+C...Determine whether decay allowed or not.
+ MOUT=0
+ IF(MSTJ(22).EQ.2) THEN
+ IF(PMAS(KC,4).GT.PARJ(71)) MOUT=1
+ ELSEIF(MSTJ(22).EQ.3) THEN
+ IF(VDCY(1)**2+VDCY(2)**2+VDCY(3)**2.GT.PARJ(72)**2) MOUT=1
+ ELSEIF(MSTJ(22).EQ.4) THEN
+ IF(VDCY(1)**2+VDCY(2)**2.GT.PARJ(73)**2) MOUT=1
+ IF(ABS(VDCY(3)).GT.PARJ(74)) MOUT=1
+ ENDIF
+ IF(MOUT.EQ.1.AND.K(IP,1).NE.5) THEN
+ K(IP,1)=4
+ RETURN
+ ENDIF
+
+C...Interface to external tau decay library (for tau polarization).
+ IF(KFA.EQ.15.AND.MSTJ(28).GE.1) THEN
+
+C...Starting values for pointers and momenta.
+ ITAU=IP
+ DO 110 J=1,4
+ PTAU(J)=P(ITAU,J)
+ PCMTAU(J)=P(ITAU,J)
+ 110 CONTINUE
+
+C...Iterate to find position and code of mother of tau.
+ IMTAU=ITAU
+ 120 IMTAU=K(IMTAU,3)
+
+ IF(IMTAU.EQ.0) THEN
+C...If no known origin then impossible to do anything further.
+ KFORIG=0
+ IORIG=0
+
+ ELSEIF(K(IMTAU,2).EQ.K(ITAU,2)) THEN
+C...If tau -> tau + gamma then add gamma energy and loop.
+ IF(K(K(IMTAU,4),2).EQ.22) THEN
+ DO 130 J=1,4
+ PCMTAU(J)=PCMTAU(J)+P(K(IMTAU,4),J)
+ 130 CONTINUE
+ ELSEIF(K(K(IMTAU,5),2).EQ.22) THEN
+ DO 140 J=1,4
+ PCMTAU(J)=PCMTAU(J)+P(K(IMTAU,5),J)
+ 140 CONTINUE
+ ENDIF
+ GOTO 120
+
+ ELSEIF(IABS(K(IMTAU,2)).GT.100) THEN
+C...If coming from weak decay of hadron then W is not stored in record,
+C...but can be reconstructed by adding neutrino momentum.
+ KFORIG=-ISIGN(24,K(ITAU,2))
+ IORIG=0
+ DO 160 II=K(IMTAU,4),K(IMTAU,5)
+ IF(K(II,2)*ISIGN(1,K(ITAU,2)).EQ.-16) THEN
+ DO 150 J=1,4
+ PCMTAU(J)=PCMTAU(J)+P(II,J)
+ 150 CONTINUE
+ ENDIF
+ 160 CONTINUE
+
+ ELSE
+C...If coming from resonance decay then find latest copy of this
+C...resonance (may not completely agree).
+ KFORIG=K(IMTAU,2)
+ IORIG=IMTAU
+ DO 170 II=IMTAU+1,IP-1
+ IF(K(II,2).EQ.KFORIG.AND.K(II,3).EQ.IORIG.AND.
+ & ABS(P(II,5)-P(IORIG,5)).LT.1E-5*P(IORIG,5)) IORIG=II
+ 170 CONTINUE
+ DO 180 J=1,4
+ PCMTAU(J)=P(IORIG,J)
+ 180 CONTINUE
+ ENDIF
+
+C...Boost tau to rest frame of production process (where known)
+C...and rotate it to sit along +z axis.
+ DO 190 J=1,3
+ DBETAU(J)=PCMTAU(J)/PCMTAU(4)
+ 190 CONTINUE
+ IF(KFORIG.NE.0) CALL LUDBRB(ITAU,ITAU,0.,0.,-DBETAU(1),
+ & -DBETAU(2),-DBETAU(3))
+ PHITAU=UYANGL(P(ITAU,1),P(ITAU,2))
+ CALL LUDBRB(ITAU,ITAU,0.,-PHITAU,0D0,0D0,0D0)
+ THETAU=UYANGL(P(ITAU,3),P(ITAU,1))
+ CALL LUDBRB(ITAU,ITAU,-THETAU,0.,0D0,0D0,0D0)
+
+C...Call tau decay routine (if meaningful) and fill extra info.
+ IF(KFORIG.NE.0.OR.MSTJ(28).EQ.2) THEN
+ CALL LYTAUD(ITAU,IORIG,KFORIG,NDECAY)
+ DO 200 II=NSAV+1,NSAV+NDECAY
+ K(II,1)=1
+ K(II,3)=IP
+ K(II,4)=0
+ K(II,5)=0
+ 200 CONTINUE
+ N=NSAV+NDECAY
+ ENDIF
+
+C...Boost back decay tau and decay products.
+ DO 210 J=1,4
+ P(ITAU,J)=PTAU(J)
+ 210 CONTINUE
+ IF(KFORIG.NE.0.OR.MSTJ(28).EQ.2) THEN
+ CALL LUDBRB(NSAV+1,N,THETAU,PHITAU,0D0,0D0,0D0)
+ IF(KFORIG.NE.0) CALL LUDBRB(NSAV+1,N,0.,0.,DBETAU(1),
+ & DBETAU(2),DBETAU(3))
+
+C...Skip past ordinary tau decay treatment.
+ MMAT=0
+ MBST=0
+ ND=0
+ GOTO 660
+ ENDIF
+ ENDIF
+
+C...B-B~ mixing: flip sign of meson appropriately.
+ MMIX=0
+ IF((KFA.EQ.511.OR.KFA.EQ.531).AND.MSTJ(26).GE.1) THEN
+ XBBMIX=PARJ(76)
+ IF(KFA.EQ.531) XBBMIX=PARJ(77)
+ IF(SIN(0.5*XBBMIX*V(IP,5)/PMAS(KC,4))**2.GT.RLY(0)) MMIX=1
+ IF(MMIX.EQ.1) KFS=-KFS
+ ENDIF
+
+C...Check existence of decay channels. Particle/antiparticle rules.
+ KCA=KC
+ IF(MDCY(KC,2).GT.0) THEN
+ MDMDCY=MDME(MDCY(KC,2),2)
+ IF(MDMDCY.GT.80.AND.MDMDCY.LE.90) KCA=MDMDCY
+ ENDIF
+ IF(MDCY(KCA,2).LE.0.OR.MDCY(KCA,3).LE.0) THEN
+ CALL LYERRM(9,'(LYDECY:) no decay channel defined')
+ RETURN
+ ENDIF
+ IF(MOD(KFA/1000,10).EQ.0.AND.(KCA.EQ.85.OR.KCA.EQ.87)) KFS=-KFS
+ IF(KCHG(KC,3).EQ.0) THEN
+ KFSP=1
+ KFSN=0
+ IF(RLY(0).GT.0.5) KFS=-KFS
+ ELSEIF(KFS.GT.0) THEN
+ KFSP=1
+ KFSN=0
+ ELSE
+ KFSP=0
+ KFSN=1
+ ENDIF
+
+C...Sum branching ratios of allowed decay channels.
+ 220 NOPE=0
+ BRSU=0.
+ DO 230 IDL=MDCY(KCA,2),MDCY(KCA,2)+MDCY(KCA,3)-1
+ IF(MDME(IDL,1).NE.1.AND.KFSP*MDME(IDL,1).NE.2.AND.
+ &KFSN*MDME(IDL,1).NE.3) GOTO 230
+ IF(MDME(IDL,2).GT.100) GOTO 230
+ NOPE=NOPE+1
+ BRSU=BRSU+BRAT(IDL)
+ 230 CONTINUE
+ IF(NOPE.EQ.0) THEN
+ CALL LYERRM(2,'(LYDECY:) all decay channels closed by user')
+ RETURN
+ ENDIF
+
+C...Select decay channel among allowed ones.
+ 240 RBR=BRSU*RLY(0)
+ IDL=MDCY(KCA,2)-1
+ 250 IDL=IDL+1
+ IF(MDME(IDL,1).NE.1.AND.KFSP*MDME(IDL,1).NE.2.AND.
+ &KFSN*MDME(IDL,1).NE.3) THEN
+ IF(IDL.LT.MDCY(KCA,2)+MDCY(KCA,3)-1) GOTO 250
+ ELSEIF(MDME(IDL,2).GT.100) THEN
+ IF(IDL.LT.MDCY(KCA,2)+MDCY(KCA,3)-1) GOTO 250
+ ELSE
+ IDC=IDL
+ RBR=RBR-BRAT(IDL)
+ IF(IDL.LT.MDCY(KCA,2)+MDCY(KCA,3)-1.AND.RBR.GT.0.) GOTO 250
+ ENDIF
+
+C...Start readout of decay channel: matrix element, reset counters.
+ MMAT=MDME(IDC,2)
+ 260 NTRY=NTRY+1
+ IF(NTRY.GT.1000) THEN
+ CALL LYERRM(14,'(LYDECY:) caught in infinite loop')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ I=N
+ NP=0
+ NQ=0
+ MBST=0
+ IF(MMAT.GE.11.AND.MMAT.NE.46.AND.P(IP,4).GT.20.*P(IP,5)) MBST=1
+ DO 270 J=1,4
+ PV(1,J)=0.
+ IF(MBST.EQ.0) PV(1,J)=P(IP,J)
+ 270 CONTINUE
+ IF(MBST.EQ.1) PV(1,4)=P(IP,5)
+ PV(1,5)=P(IP,5)
+ PS=0.
+ PSQ=0.
+ MREM=0
+ MHADDY=0
+ IF(KFA.GT.80) MHADDY=1
+
+C...Read out decay products. Convert to standard flavour code.
+ JTMAX=5
+ IF(MDME(IDC+1,2).EQ.101) JTMAX=10
+ DO 280 JT=1,JTMAX
+ IF(JT.LE.5) KP=KFDP(IDC,JT)
+ IF(JT.GE.6) KP=KFDP(IDC+1,JT-5)
+ IF(KP.EQ.0) GOTO 280
+ KPA=IABS(KP)
+ KCP=LYCOMP(KPA)
+ IF(KPA.GT.80) MHADDY=1
+ IF(KCHG(KCP,3).EQ.0.AND.KPA.NE.81.AND.KPA.NE.82) THEN
+ KFP=KP
+ ELSEIF(KPA.NE.81.AND.KPA.NE.82) THEN
+ KFP=KFS*KP
+ ELSEIF(KPA.EQ.81.AND.MOD(KFA/1000,10).EQ.0) THEN
+ KFP=-KFS*MOD(KFA/10,10)
+ ELSEIF(KPA.EQ.81.AND.MOD(KFA/100,10).GE.MOD(KFA/10,10)) THEN
+ KFP=KFS*(100*MOD(KFA/10,100)+3)
+ ELSEIF(KPA.EQ.81) THEN
+ KFP=KFS*(1000*MOD(KFA/10,10)+100*MOD(KFA/100,10)+1)
+ ELSEIF(KP.EQ.82) THEN
+ CALL LYKFDI(-KFS*INT(1.+(2.+PARJ(2))*RLY(0)),0,KFP,KDUMP)
+ IF(KFP.EQ.0) GOTO 260
+ MSTJ(93)=1
+ IF(PV(1,5).LT.PARJ(32)+2.*UYMASS(KFP)) GOTO 260
+ ELSEIF(KP.EQ.-82) THEN
+ KFP=-KFP
+ IF(IABS(KFP).GT.10) KFP=KFP+ISIGN(10000,KFP)
+ ENDIF
+ IF(KPA.EQ.81.OR.KPA.EQ.82) KCP=LYCOMP(KFP)
+
+C...Add decay product to event record or to quark flavour list.
+ KFPA=IABS(KFP)
+ KQP=KCHG(KCP,2)
+ IF(MMAT.GE.11.AND.MMAT.LE.30.AND.KQP.NE.0) THEN
+ NQ=NQ+1
+ KFLO(NQ)=KFP
+ MSTJ(93)=2
+ PSQ=PSQ+UYMASS(KFLO(NQ))
+ ELSEIF((MMAT.EQ.42.OR.MMAT.EQ.43.OR.MMAT.EQ.48).AND.NP.EQ.3.AND.
+ &MOD(NQ,2).EQ.1) THEN
+ NQ=NQ-1
+ PS=PS-P(I,5)
+ K(I,1)=1
+ KFI=K(I,2)
+ CALL LYKFDI(KFP,KFI,KFLDMP,K(I,2))
+ IF(K(I,2).EQ.0) GOTO 260
+ MSTJ(93)=1
+ P(I,5)=UYMASS(K(I,2))
+ PS=PS+P(I,5)
+ ELSE
+ I=I+1
+ NP=NP+1
+ IF(MMAT.NE.33.AND.KQP.NE.0) NQ=NQ+1
+ IF(MMAT.EQ.33.AND.KQP.NE.0.AND.KQP.NE.2) NQ=NQ+1
+ K(I,1)=1+MOD(NQ,2)
+ IF(MMAT.EQ.4.AND.JT.LE.2.AND.KFP.EQ.21) K(I,1)=2
+ IF(MMAT.EQ.4.AND.JT.EQ.3) K(I,1)=1
+ K(I,2)=KFP
+ K(I,3)=IP
+ K(I,4)=0
+ K(I,5)=0
+ P(I,5)=UYMASS(KFP)
+ IF(MMAT.EQ.45.AND.KFPA.EQ.89) P(I,5)=PARJ(32)
+ PS=PS+P(I,5)
+ ENDIF
+ 280 CONTINUE
+
+C...Check masses for resonance decays.
+ IF(MHADDY.EQ.0) THEN
+ IF(PS+PARJ(64).GT.PV(1,5)) GOTO 240
+ ENDIF
+
+C...Choose decay multiplicity in phase space model.
+ 290 IF(MMAT.GE.11.AND.MMAT.LE.30) THEN
+ PSP=PS
+ CNDE=PARJ(61)*LOG(MAX((PV(1,5)-PS-PSQ)/PARJ(62),1.1))
+ IF(MMAT.EQ.12) CNDE=CNDE+PARJ(63)
+ 300 NTRY=NTRY+1
+ IF(NTRY.GT.1000) THEN
+ CALL LYERRM(14,'(LYDECY:) caught in infinite loop')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IF(MMAT.LE.20) THEN
+ GAUSS=SQRT(-2.*CNDE*LOG(MAX(1E-10,RLY(0))))*
+ & SIN(PARU(2)*RLY(0))
+ ND=0.5+0.5*NP+0.25*NQ+CNDE+GAUSS
+ IF(ND.LT.NP+NQ/2.OR.ND.LT.2.OR.ND.GT.10) GOTO 300
+ IF(MMAT.EQ.13.AND.ND.EQ.2) GOTO 300
+ IF(MMAT.EQ.14.AND.ND.LE.3) GOTO 300
+ IF(MMAT.EQ.15.AND.ND.LE.4) GOTO 300
+ ELSE
+ ND=MMAT-20
+ ENDIF
+
+C...Form hadrons from flavour content.
+ DO 310 JT=1,4
+ KFL1(JT)=KFLO(JT)
+ 310 CONTINUE
+ IF(ND.EQ.NP+NQ/2) GOTO 330
+ DO 320 I=N+NP+1,N+ND-NQ/2
+ JT=1+INT((NQ-1)*RLY(0))
+ CALL LYKFDI(KFL1(JT),0,KFL2,K(I,2))
+ IF(K(I,2).EQ.0) GOTO 300
+ KFL1(JT)=-KFL2
+ 320 CONTINUE
+ 330 JT=2
+ JT2=3
+ JT3=4
+ IF(NQ.EQ.4.AND.RLY(0).LT.PARJ(66)) JT=4
+ IF(JT.EQ.4.AND.ISIGN(1,KFL1(1)*(10-IABS(KFL1(1))))*
+ & ISIGN(1,KFL1(JT)*(10-IABS(KFL1(JT)))).GT.0) JT=3
+ IF(JT.EQ.3) JT2=2
+ IF(JT.EQ.4) JT3=2
+ CALL LYKFDI(KFL1(1),KFL1(JT),KFLDMP,K(N+ND-NQ/2+1,2))
+ IF(K(N+ND-NQ/2+1,2).EQ.0) GOTO 300
+ IF(NQ.EQ.4) CALL LYKFDI(KFL1(JT2),KFL1(JT3),KFLDMP,K(N+ND,2))
+ IF(NQ.EQ.4.AND.K(N+ND,2).EQ.0) GOTO 300
+
+C...Check that sum of decay product masses not too large.
+ PS=PSP
+ DO 340 I=N+NP+1,N+ND
+ K(I,1)=1
+ K(I,3)=IP
+ K(I,4)=0
+ K(I,5)=0
+ P(I,5)=UYMASS(K(I,2))
+ PS=PS+P(I,5)
+ 340 CONTINUE
+ IF(PS+PARJ(64).GT.PV(1,5)) GOTO 300
+
+C...Rescale energy to subtract off spectator quark mass.
+ ELSEIF((MMAT.EQ.31.OR.MMAT.EQ.33.OR.MMAT.EQ.44.OR.MMAT.EQ.45)
+ &.AND.NP.GE.3) THEN
+ PS=PS-P(N+NP,5)
+ PQT=(P(N+NP,5)+PARJ(65))/PV(1,5)
+ DO 350 J=1,5
+ P(N+NP,J)=PQT*PV(1,J)
+ PV(1,J)=(1.-PQT)*PV(1,J)
+ 350 CONTINUE
+ IF(PS+PARJ(64).GT.PV(1,5)) GOTO 260
+ ND=NP-1
+ MREM=1
+
+C...Phase space factors imposed in W decay.
+ ELSEIF(MMAT.EQ.46) THEN
+ MSTJ(93)=1
+ PSMC=UYMASS(K(N+1,2))
+ MSTJ(93)=1
+ PSMC=PSMC+UYMASS(K(N+2,2))
+ IF(MAX(PS,PSMC)+PARJ(32).GT.PV(1,5)) GOTO 240
+ HR1=(P(N+1,5)/PV(1,5))**2
+ HR2=(P(N+2,5)/PV(1,5))**2
+ IF((1.-HR1-HR2)*(2.+HR1+HR2)*SQRT((1.-HR1-HR2)**2-4.*HR1*HR2)
+ & .LT.2.*RLY(0)) GOTO 240
+ ND=NP
+
+C...Fully specified final state: check mass broadening effects.
+ ELSE
+ IF(NP.GE.2.AND.PS+PARJ(64).GT.PV(1,5)) GOTO 260
+ ND=NP
+ ENDIF
+
+C...Select W mass in decay Q -> W + q, without W propagator.
+ IF(MMAT.EQ.45.AND.MSTJ(25).LE.0) THEN
+ HLQ=(PARJ(32)/PV(1,5))**2
+ HUQ=(1.-(P(N+2,5)+PARJ(64))/PV(1,5))**2
+ HRQ=(P(N+2,5)/PV(1,5))**2
+ 360 HW=HLQ+RLY(0)*(HUQ-HLQ)
+ IF(HMEPS(HW).LT.RLY(0)) GOTO 360
+ P(N+1,5)=PV(1,5)*SQRT(HW)
+
+C...Ditto, including W propagator. Divide mass range into three regions.
+ ELSEIF(MMAT.EQ.45) THEN
+ HQW=(PV(1,5)/PMAS(24,1))**2
+ HLW=(PARJ(32)/PMAS(24,1))**2
+ HUW=((PV(1,5)-P(N+2,5)-PARJ(64))/PMAS(24,1))**2
+ HRQ=(P(N+2,5)/PV(1,5))**2
+ HG=PMAS(24,2)/PMAS(24,1)
+ HATL=ATAN((HLW-1.)/HG)
+ HM=MIN(1.,HUW-0.001)
+ HMV1=HMEPS(HM/HQW)/((HM-1.)**2+HG**2)
+ 370 HM=HM-HG
+ HMV2=HMEPS(HM/HQW)/((HM-1.)**2+HG**2)
+ IF(HMV2.GT.HMV1.AND.HM-HG.GT.HLW) THEN
+ HMV1=HMV2
+ GOTO 370
+ ENDIF
+ HMV=MIN(2.*HMV1,HMEPS(HM/HQW)/HG**2)
+ HM1=1.-SQRT(1./HMV-HG**2)
+ IF(HM1.GT.HLW.AND.HM1.LT.HM) THEN
+ HM=HM1
+ ELSEIF(HMV2.LE.HMV1) THEN
+ HM=MAX(HLW,HM-MIN(0.1,1.-HM))
+ ENDIF
+ HATM=ATAN((HM-1.)/HG)
+ HWT1=(HATM-HATL)/HG
+ HWT2=HMV*(MIN(1.,HUW)-HM)
+ HWT3=0.
+ IF(HUW.GT.1.) THEN
+ HATU=ATAN((HUW-1.)/HG)
+ HMP1=HMEPS(1./HQW)
+ HWT3=HMP1*HATU/HG
+ ENDIF
+
+C...Select mass region and W mass there. Accept according to weight.
+ 380 HREG=RLY(0)*(HWT1+HWT2+HWT3)
+ IF(HREG.LE.HWT1) THEN
+ HW=1.+HG*TAN(HATL+RLY(0)*(HATM-HATL))
+ HACC=HMEPS(HW/HQW)
+ ELSEIF(HREG.LE.HWT1+HWT2) THEN
+ HW=HM+RLY(0)*(MIN(1.,HUW)-HM)
+ HACC=HMEPS(HW/HQW)/((HW-1.)**2+HG**2)/HMV
+ ELSE
+ HW=1.+HG*TAN(RLY(0)*HATU)
+ HACC=HMEPS(HW/HQW)/HMP1
+ ENDIF
+ IF(HACC.LT.RLY(0)) GOTO 380
+ P(N+1,5)=PMAS(24,1)*SQRT(HW)
+ ENDIF
+
+C...Determine position of grandmother, number of sisters, Q -> W sign.
+ NM=0
+ KFAS=0
+ MSGN=0
+ IF(MMAT.EQ.3.OR.MMAT.EQ.46) THEN
+ IM=K(IP,3)
+ IF(IM.LT.0.OR.IM.GE.IP) IM=0
+ IF(MMAT.EQ.46.AND.MSTJ(27).EQ.1) THEN
+ IM=0
+ ELSEIF(MMAT.EQ.46.AND.MSTJ(27).GE.2.AND.IM.NE.0) THEN
+ IF(K(IM,2).EQ.94) THEN
+ IM=K(K(IM,3),3)
+ IF(IM.LT.0.OR.IM.GE.IP) IM=0
+ ENDIF
+ ENDIF
+ IF(IM.NE.0) KFAM=IABS(K(IM,2))
+ IF(IM.NE.0.AND.MMAT.EQ.3) THEN
+ DO 390 IL=MAX(IP-2,IM+1),MIN(IP+2,N)
+ IF(K(IL,3).EQ.IM) NM=NM+1
+ IF(K(IL,3).EQ.IM.AND.IL.NE.IP) ISIS=IL
+ 390 CONTINUE
+ IF(NM.NE.2.OR.KFAM.LE.100.OR.MOD(KFAM,10).NE.1.OR.
+ & MOD(KFAM/1000,10).NE.0) NM=0
+ IF(NM.EQ.2) THEN
+ KFAS=IABS(K(ISIS,2))
+ IF((KFAS.LE.100.OR.MOD(KFAS,10).NE.1.OR.
+ & MOD(KFAS/1000,10).NE.0).AND.KFAS.NE.22) NM=0
+ ENDIF
+ ELSEIF(IM.NE.0.AND.MMAT.EQ.46) THEN
+ MSGN=ISIGN(1,K(IM,2)*K(IP,2))
+ IF(KFAM.GT.100.AND.MOD(KFAM/1000,10).EQ.0) MSGN=
+ & MSGN*(-1)**MOD(KFAM/100,10)
+ ENDIF
+ ENDIF
+
+C...Kinematics of one-particle decays.
+ IF(ND.EQ.1) THEN
+ DO 400 J=1,4
+ P(N+1,J)=P(IP,J)
+ 400 CONTINUE
+ GOTO 660
+ ENDIF
+
+C...Calculate maximum weight ND-particle decay.
+ PV(ND,5)=P(N+ND,5)
+ IF(ND.GE.3) THEN
+ WTMAX=1./WTCOR(ND-2)
+ PMAX=PV(1,5)-PS+P(N+ND,5)
+ PMIN=0.
+ DO 410 IL=ND-1,1,-1
+ PMAX=PMAX+P(N+IL,5)
+ PMIN=PMIN+P(N+IL+1,5)
+ WTMAX=WTMAX*PAWT(PMAX,PMIN,P(N+IL,5))
+ 410 CONTINUE
+ ENDIF
+
+C...Find virtual gamma mass in Dalitz decay.
+ 420 IF(ND.EQ.2) THEN
+ ELSEIF(MMAT.EQ.2) THEN
+ PMES=4.*PMAS(11,1)**2
+ PMRHO2=PMAS(131,1)**2
+ PGRHO2=PMAS(131,2)**2
+ 430 PMST=PMES*(P(IP,5)**2/PMES)**RLY(0)
+ WT=(1+0.5*PMES/PMST)*SQRT(MAX(0.,1.-PMES/PMST))*
+ & (1.-PMST/P(IP,5)**2)**3*(1.+PGRHO2/PMRHO2)/
+ & ((1.-PMST/PMRHO2)**2+PGRHO2/PMRHO2)
+ IF(WT.LT.RLY(0)) GOTO 430
+ PV(2,5)=MAX(2.00001*PMAS(11,1),SQRT(PMST))
+
+C...M-generator gives weight. If rejected, try again.
+ ELSE
+ 440 RORD(1)=1.
+ DO 470 IL1=2,ND-1
+ RSAV=RLY(0)
+ DO 450 IL2=IL1-1,1,-1
+ IF(RSAV.LE.RORD(IL2)) GOTO 460
+ RORD(IL2+1)=RORD(IL2)
+ 450 CONTINUE
+ 460 RORD(IL2+1)=RSAV
+ 470 CONTINUE
+ RORD(ND)=0.
+ WT=1.
+ DO 480 IL=ND-1,1,-1
+ PV(IL,5)=PV(IL+1,5)+P(N+IL,5)+(RORD(IL)-RORD(IL+1))*(PV(1,5)-PS)
+ WT=WT*PAWT(PV(IL,5),PV(IL+1,5),P(N+IL,5))
+ 480 CONTINUE
+ IF(WT.LT.RLY(0)*WTMAX) GOTO 440
+ ENDIF
+
+C...Perform two-particle decays in respective CM frame.
+ 490 DO 510 IL=1,ND-1
+ PA=PAWT(PV(IL,5),PV(IL+1,5),P(N+IL,5))
+ UE(3)=2.*RLY(0)-1.
+ PHI=PARU(2)*RLY(0)
+ UE(1)=SQRT(1.-UE(3)**2)*COS(PHI)
+ UE(2)=SQRT(1.-UE(3)**2)*SIN(PHI)
+ DO 500 J=1,3
+ P(N+IL,J)=PA*UE(J)
+ PV(IL+1,J)=-PA*UE(J)
+ 500 CONTINUE
+ P(N+IL,4)=SQRT(PA**2+P(N+IL,5)**2)
+ PV(IL+1,4)=SQRT(PA**2+PV(IL+1,5)**2)
+ 510 CONTINUE
+
+C...Lorentz transform decay products to lab frame.
+ DO 520 J=1,4
+ P(N+ND,J)=PV(ND,J)
+ 520 CONTINUE
+ DO 560 IL=ND-1,1,-1
+ DO 530 J=1,3
+ BE(J)=PV(IL,J)/PV(IL,4)
+ 530 CONTINUE
+ GA=PV(IL,4)/PV(IL,5)
+ DO 550 I=N+IL,N+ND
+ BEP=BE(1)*P(I,1)+BE(2)*P(I,2)+BE(3)*P(I,3)
+ DO 540 J=1,3
+ P(I,J)=P(I,J)+GA*(GA*BEP/(1.+GA)+P(I,4))*BE(J)
+ 540 CONTINUE
+ P(I,4)=GA*(P(I,4)+BEP)
+ 550 CONTINUE
+ 560 CONTINUE
+
+C...Check that no infinite loop in matrix element weight.
+ NTRY=NTRY+1
+ IF(NTRY.GT.800) GOTO 590
+
+C...Matrix elements for omega and phi decays.
+ IF(MMAT.EQ.1) THEN
+ WT=(P(N+1,5)*P(N+2,5)*P(N+3,5))**2-(P(N+1,5)*FOUR(N+2,N+3))**2
+ & -(P(N+2,5)*FOUR(N+1,N+3))**2-(P(N+3,5)*FOUR(N+1,N+2))**2
+ & +2.*FOUR(N+1,N+2)*FOUR(N+1,N+3)*FOUR(N+2,N+3)
+ IF(MAX(WT*WTCOR(9)/P(IP,5)**6,0.001).LT.RLY(0)) GOTO 420
+
+C...Matrix elements for pi0 or eta Dalitz decay to gamma e+ e-.
+ ELSEIF(MMAT.EQ.2) THEN
+ FOUR12=FOUR(N+1,N+2)
+ FOUR13=FOUR(N+1,N+3)
+ WT=(PMST-0.5*PMES)*(FOUR12**2+FOUR13**2)+
+ & PMES*(FOUR12*FOUR13+FOUR12**2+FOUR13**2)
+ IF(WT.LT.RLY(0)*0.25*PMST*(P(IP,5)**2-PMST)**2) GOTO 490
+
+C...Matrix element for S0 -> S1 + V1 -> S1 + S2 + S3 (S scalar,
+C...V vector), of form cos**2(theta02) in V1 rest frame, and for
+C...S0 -> gamma + V1 -> gamma + S2 + S3, of form sin**2(theta02).
+ ELSEIF(MMAT.EQ.3.AND.NM.EQ.2) THEN
+ FOUR10=FOUR(IP,IM)
+ FOUR12=FOUR(IP,N+1)
+ FOUR02=FOUR(IM,N+1)
+ PMS1=P(IP,5)**2
+ PMS0=P(IM,5)**2
+ PMS2=P(N+1,5)**2
+ IF(KFAS.NE.22) HNUM=(FOUR10*FOUR12-PMS1*FOUR02)**2
+ IF(KFAS.EQ.22) HNUM=PMS1*(2.*FOUR10*FOUR12*FOUR02-
+ & PMS1*FOUR02**2-PMS0*FOUR12**2-PMS2*FOUR10**2+PMS1*PMS0*PMS2)
+ HNUM=MAX(1E-6*PMS1**2*PMS0*PMS2,HNUM)
+ HDEN=(FOUR10**2-PMS1*PMS0)*(FOUR12**2-PMS1*PMS2)
+ IF(HNUM.LT.RLY(0)*HDEN) GOTO 490
+
+C...Matrix element for "onium" -> g + g + g or gamma + g + g.
+ ELSEIF(MMAT.EQ.4) THEN
+ HX1=2.*FOUR(IP,N+1)/P(IP,5)**2
+ HX2=2.*FOUR(IP,N+2)/P(IP,5)**2
+ HX3=2.*FOUR(IP,N+3)/P(IP,5)**2
+ WT=((1.-HX1)/(HX2*HX3))**2+((1.-HX2)/(HX1*HX3))**2+
+ & ((1.-HX3)/(HX1*HX2))**2
+ IF(WT.LT.2.*RLY(0)) GOTO 420
+ IF(K(IP+1,2).EQ.22.AND.(1.-HX1)*P(IP,5)**2.LT.4.*PARJ(32)**2)
+ & GOTO 420
+
+C...Effective matrix element for nu spectrum in tau -> nu + hadrons.
+ ELSEIF(MMAT.EQ.41) THEN
+ HX1=2.*FOUR(IP,N+1)/P(IP,5)**2
+ HXM=MIN(0.75,2.*(1.-PS/P(IP,5)))
+ IF(HX1*(3.-2.*HX1).LT.RLY(0)*HXM*(3.-2.*HXM)) GOTO 420
+
+C...Matrix elements for weak decays (only semileptonic for c and b)
+ ELSEIF((MMAT.EQ.42.OR.MMAT.EQ.43.OR.MMAT.EQ.44.OR.MMAT.EQ.48)
+ &.AND.ND.EQ.3) THEN
+ IF(MBST.EQ.0) WT=FOUR(IP,N+1)*FOUR(N+2,N+3)
+ IF(MBST.EQ.1) WT=P(IP,5)*P(N+1,4)*FOUR(N+2,N+3)
+ IF(WT.LT.RLY(0)*P(IP,5)*PV(1,5)**3/WTCOR(10)) GOTO 420
+ ELSEIF(MMAT.EQ.42.OR.MMAT.EQ.43.OR.MMAT.EQ.44.OR.MMAT.EQ.48) THEN
+ DO 580 J=1,4
+ P(N+NP+1,J)=0.
+ DO 570 IS=N+3,N+NP
+ P(N+NP+1,J)=P(N+NP+1,J)+P(IS,J)
+ 570 CONTINUE
+ 580 CONTINUE
+ IF(MBST.EQ.0) WT=FOUR(IP,N+1)*FOUR(N+2,N+NP+1)
+ IF(MBST.EQ.1) WT=P(IP,5)*P(N+1,4)*FOUR(N+2,N+NP+1)
+ IF(WT.LT.RLY(0)*P(IP,5)*PV(1,5)**3/WTCOR(10)) GOTO 420
+
+C...Angular distribution in W decay.
+ ELSEIF(MMAT.EQ.46.AND.MSGN.NE.0) THEN
+ IF(MSGN.GT.0) WT=FOUR(IM,N+1)*FOUR(N+2,IP+1)
+ IF(MSGN.LT.0) WT=FOUR(IM,N+2)*FOUR(N+1,IP+1)
+ IF(WT.LT.RLY(0)*P(IM,5)**4/WTCOR(10)) GOTO 490
+ ENDIF
+
+C...Scale back energy and reattach spectator.
+ 590 IF(MREM.EQ.1) THEN
+ DO 600 J=1,5
+ PV(1,J)=PV(1,J)/(1.-PQT)
+ 600 CONTINUE
+ ND=ND+1
+ MREM=0
+ ENDIF
+
+C...Low invariant mass for system with spectator quark gives particle,
+C...not two jets. Readjust momenta accordingly.
+ IF((MMAT.EQ.31.OR.MMAT.EQ.45).AND.ND.EQ.3) THEN
+ MSTJ(93)=1
+ PM2=UYMASS(K(N+2,2))
+ MSTJ(93)=1
+ PM3=UYMASS(K(N+3,2))
+ IF(P(N+2,5)**2+P(N+3,5)**2+2.*FOUR(N+2,N+3).GE.
+ & (PARJ(32)+PM2+PM3)**2) GOTO 660
+ K(N+2,1)=1
+ KFTEMP=K(N+2,2)
+ CALL LYKFDI(KFTEMP,K(N+3,2),KFLDMP,K(N+2,2))
+ IF(K(N+2,2).EQ.0) GOTO 260
+ P(N+2,5)=UYMASS(K(N+2,2))
+ PS=P(N+1,5)+P(N+2,5)
+ PV(2,5)=P(N+2,5)
+ MMAT=0
+ ND=2
+ GOTO 490
+ ELSEIF(MMAT.EQ.44) THEN
+ MSTJ(93)=1
+ PM3=UYMASS(K(N+3,2))
+ MSTJ(93)=1
+ PM4=UYMASS(K(N+4,2))
+ IF(P(N+3,5)**2+P(N+4,5)**2+2.*FOUR(N+3,N+4).GE.
+ & (PARJ(32)+PM3+PM4)**2) GOTO 630
+ K(N+3,1)=1
+ KFTEMP=K(N+3,2)
+ CALL LYKFDI(KFTEMP,K(N+4,2),KFLDMP,K(N+3,2))
+ IF(K(N+3,2).EQ.0) GOTO 260
+ P(N+3,5)=UYMASS(K(N+3,2))
+ DO 610 J=1,3
+ P(N+3,J)=P(N+3,J)+P(N+4,J)
+ 610 CONTINUE
+ P(N+3,4)=SQRT(P(N+3,1)**2+P(N+3,2)**2+P(N+3,3)**2+P(N+3,5)**2)
+ HA=P(N+1,4)**2-P(N+2,4)**2
+ HB=HA-(P(N+1,5)**2-P(N+2,5)**2)
+ HC=(P(N+1,1)-P(N+2,1))**2+(P(N+1,2)-P(N+2,2))**2+
+ & (P(N+1,3)-P(N+2,3))**2
+ HD=(PV(1,4)-P(N+3,4))**2
+ HE=HA**2-2.*HD*(P(N+1,4)**2+P(N+2,4)**2)+HD**2
+ HF=HD*HC-HB**2
+ HG=HD*HC-HA*HB
+ HH=(SQRT(HG**2+HE*HF)-HG)/(2.*HF)
+ DO 620 J=1,3
+ PCOR=HH*(P(N+1,J)-P(N+2,J))
+ P(N+1,J)=P(N+1,J)+PCOR
+ P(N+2,J)=P(N+2,J)-PCOR
+ 620 CONTINUE
+ P(N+1,4)=SQRT(P(N+1,1)**2+P(N+1,2)**2+P(N+1,3)**2+P(N+1,5)**2)
+ P(N+2,4)=SQRT(P(N+2,1)**2+P(N+2,2)**2+P(N+2,3)**2+P(N+2,5)**2)
+ ND=ND-1
+ ENDIF
+
+C...Check invariant mass of W jets. May give one particle or start over.
+ 630 IF((MMAT.EQ.42.OR.MMAT.EQ.43.OR.MMAT.EQ.44.OR.MMAT.EQ.48)
+ &.AND.IABS(K(N+1,2)).LT.10) THEN
+ PMR=SQRT(MAX(0.,P(N+1,5)**2+P(N+2,5)**2+2.*FOUR(N+1,N+2)))
+ MSTJ(93)=1
+ PM1=UYMASS(K(N+1,2))
+ MSTJ(93)=1
+ PM2=UYMASS(K(N+2,2))
+ IF(PMR.GT.PARJ(32)+PM1+PM2) GOTO 640
+ KFLDUM=INT(1.5+RLY(0))
+ CALL LYKFDI(K(N+1,2),-ISIGN(KFLDUM,K(N+1,2)),KFLDMP,KF1)
+ CALL LYKFDI(K(N+2,2),-ISIGN(KFLDUM,K(N+2,2)),KFLDMP,KF2)
+ IF(KF1.EQ.0.OR.KF2.EQ.0) GOTO 260
+ PSM=UYMASS(KF1)+UYMASS(KF2)
+ IF((MMAT.EQ.42.OR.MMAT.EQ.48).AND.PMR.GT.PARJ(64)+PSM) GOTO 640
+ IF(MMAT.GE.43.AND.PMR.GT.0.2*PARJ(32)+PSM) GOTO 640
+ IF(MMAT.EQ.48) GOTO 420
+ IF(ND.EQ.4.OR.KFA.EQ.15) GOTO 260
+ K(N+1,1)=1
+ KFTEMP=K(N+1,2)
+ CALL LYKFDI(KFTEMP,K(N+2,2),KFLDMP,K(N+1,2))
+ IF(K(N+1,2).EQ.0) GOTO 260
+ P(N+1,5)=UYMASS(K(N+1,2))
+ K(N+2,2)=K(N+3,2)
+ P(N+2,5)=P(N+3,5)
+ PS=P(N+1,5)+P(N+2,5)
+ IF(PS+PARJ(64).GT.PV(1,5)) GOTO 260
+ PV(2,5)=P(N+3,5)
+ MMAT=0
+ ND=2
+ GOTO 490
+ ENDIF
+
+C...Phase space decay of partons from W decay.
+ 640 IF((MMAT.EQ.42.OR.MMAT.EQ.48).AND.IABS(K(N+1,2)).LT.10) THEN
+ KFLO(1)=K(N+1,2)
+ KFLO(2)=K(N+2,2)
+ K(N+1,1)=K(N+3,1)
+ K(N+1,2)=K(N+3,2)
+ DO 650 J=1,5
+ PV(1,J)=P(N+1,J)+P(N+2,J)
+ P(N+1,J)=P(N+3,J)
+ 650 CONTINUE
+ PV(1,5)=PMR
+ N=N+1
+ NP=0
+ NQ=2
+ PS=0.
+ MSTJ(93)=2
+ PSQ=UYMASS(KFLO(1))
+ MSTJ(93)=2
+ PSQ=PSQ+UYMASS(KFLO(2))
+ MMAT=11
+ GOTO 290
+ ENDIF
+
+C...Boost back for rapidly moving particle.
+ 660 N=N+ND
+ IF(MBST.EQ.1) THEN
+ DO 670 J=1,3
+ BE(J)=P(IP,J)/P(IP,4)
+ 670 CONTINUE
+ GA=P(IP,4)/P(IP,5)
+ DO 690 I=NSAV+1,N
+ BEP=BE(1)*P(I,1)+BE(2)*P(I,2)+BE(3)*P(I,3)
+ DO 680 J=1,3
+ P(I,J)=P(I,J)+GA*(GA*BEP/(1.+GA)+P(I,4))*BE(J)
+ 680 CONTINUE
+ P(I,4)=GA*(P(I,4)+BEP)
+ 690 CONTINUE
+ ENDIF
+
+C...Fill in position of decay vertex.
+ DO 710 I=NSAV+1,N
+ DO 700 J=1,4
+ V(I,J)=VDCY(J)
+ 700 CONTINUE
+ V(I,5)=0.
+ 710 CONTINUE
+
+C...Set up for parton shower evolution from jets.
+ IF(MSTJ(23).GE.1.AND.MMAT.EQ.4.AND.K(NSAV+1,2).EQ.21) THEN
+ K(NSAV+1,1)=3
+ K(NSAV+2,1)=3
+ K(NSAV+3,1)=3
+ K(NSAV+1,4)=MSTU(5)*(NSAV+2)
+ K(NSAV+1,5)=MSTU(5)*(NSAV+3)
+ K(NSAV+2,4)=MSTU(5)*(NSAV+3)
+ K(NSAV+2,5)=MSTU(5)*(NSAV+1)
+ K(NSAV+3,4)=MSTU(5)*(NSAV+1)
+ K(NSAV+3,5)=MSTU(5)*(NSAV+2)
+ MSTJ(92)=-(NSAV+1)
+ ELSEIF(MSTJ(23).GE.1.AND.MMAT.EQ.4) THEN
+ K(NSAV+2,1)=3
+ K(NSAV+3,1)=3
+ K(NSAV+2,4)=MSTU(5)*(NSAV+3)
+ K(NSAV+2,5)=MSTU(5)*(NSAV+3)
+ K(NSAV+3,4)=MSTU(5)*(NSAV+2)
+ K(NSAV+3,5)=MSTU(5)*(NSAV+2)
+ MSTJ(92)=NSAV+2
+ ELSEIF(MSTJ(23).GE.1.AND.(MMAT.EQ.32.OR.MMAT.EQ.44.OR.MMAT.EQ.46)
+ &.AND.IABS(K(NSAV+1,2)).LE.10.AND.IABS(K(NSAV+2,2)).LE.10) THEN
+ K(NSAV+1,1)=3
+ K(NSAV+2,1)=3
+ K(NSAV+1,4)=MSTU(5)*(NSAV+2)
+ K(NSAV+1,5)=MSTU(5)*(NSAV+2)
+ K(NSAV+2,4)=MSTU(5)*(NSAV+1)
+ K(NSAV+2,5)=MSTU(5)*(NSAV+1)
+ MSTJ(92)=NSAV+1
+ ELSEIF(MSTJ(23).GE.1.AND.(MMAT.EQ.32.OR.MMAT.EQ.44.OR.MMAT.EQ.46)
+ &.AND.IABS(K(NSAV+1,2)).LE.20.AND.IABS(K(NSAV+2,2)).LE.20) THEN
+ MSTJ(92)=NSAV+1
+ ELSEIF(MSTJ(23).GE.1.AND.MMAT.EQ.33.AND.IABS(K(NSAV+2,2)).EQ.21)
+ &THEN
+ K(NSAV+1,1)=3
+ K(NSAV+2,1)=3
+ K(NSAV+3,1)=3
+ KCP=LYCOMP(K(NSAV+1,2))
+ KQP=KCHG(KCP,2)*ISIGN(1,K(NSAV+1,2))
+ JCON=4
+ IF(KQP.LT.0) JCON=5
+ K(NSAV+1,JCON)=MSTU(5)*(NSAV+2)
+ K(NSAV+2,9-JCON)=MSTU(5)*(NSAV+1)
+ K(NSAV+2,JCON)=MSTU(5)*(NSAV+3)
+ K(NSAV+3,9-JCON)=MSTU(5)*(NSAV+2)
+ MSTJ(92)=NSAV+1
+ ELSEIF(MSTJ(23).GE.1.AND.MMAT.EQ.33) THEN
+ K(NSAV+1,1)=3
+ K(NSAV+3,1)=3
+ K(NSAV+1,4)=MSTU(5)*(NSAV+3)
+ K(NSAV+1,5)=MSTU(5)*(NSAV+3)
+ K(NSAV+3,4)=MSTU(5)*(NSAV+1)
+ K(NSAV+3,5)=MSTU(5)*(NSAV+1)
+ MSTJ(92)=NSAV+1
+
+C...Set up for parton shower evolution in t -> W + b.
+ ELSEIF(MSTJ(27).GE.1.AND.MMAT.EQ.45.AND.ND.EQ.3) THEN
+ K(NSAV+2,1)=3
+ K(NSAV+3,1)=3
+ K(NSAV+2,4)=MSTU(5)*(NSAV+3)
+ K(NSAV+2,5)=MSTU(5)*(NSAV+3)
+ K(NSAV+3,4)=MSTU(5)*(NSAV+2)
+ K(NSAV+3,5)=MSTU(5)*(NSAV+2)
+ MSTJ(92)=NSAV+1
+ ENDIF
+
+C...Mark decayed particle; special option for B-B~ mixing.
+ IF(K(IP,1).EQ.5) K(IP,1)=15
+ IF(K(IP,1).LE.10) K(IP,1)=11
+ IF(MMIX.EQ.1.AND.MSTJ(26).EQ.2.AND.K(IP,1).EQ.11) K(IP,1)=12
+ K(IP,4)=NSAV+1
+ K(IP,5)=N
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYKFDI(KFL1,KFL2,KFL3,KF)
+
+C...Purpose: to generate a new flavour pair and combine off a hadron.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT1/,/LYDAT2/
+
+C...Default flavour values. Input consistency checks.
+ KF1A=IABS(KFL1)
+ KF2A=IABS(KFL2)
+ KFL3=0
+ KF=0
+ IF(KF1A.EQ.0) RETURN
+ IF(KF2A.NE.0) THEN
+ IF(KF1A.LE.10.AND.KF2A.LE.10.AND.KFL1*KFL2.GT.0) RETURN
+ IF(KF1A.GT.10.AND.KF2A.GT.10) RETURN
+ IF((KF1A.GT.10.OR.KF2A.GT.10).AND.KFL1*KFL2.LT.0) RETURN
+ ENDIF
+
+C...Check if tabulated flavour probabilities are to be used.
+ IF(MSTJ(15).EQ.1) THEN
+ KTAB1=-1
+ IF(KF1A.GE.1.AND.KF1A.LE.6) KTAB1=KF1A
+ KFL1A=MOD(KF1A/1000,10)
+ KFL1B=MOD(KF1A/100,10)
+ KFL1S=MOD(KF1A,10)
+ IF(KFL1A.GE.1.AND.KFL1A.LE.4.AND.KFL1B.GE.1.AND.KFL1B.LE.4)
+ & KTAB1=6+KFL1A*(KFL1A-2)+2*KFL1B+(KFL1S-1)/2
+ IF(KFL1A.GE.1.AND.KFL1A.LE.4.AND.KFL1A.EQ.KFL1B) KTAB1=KTAB1-1
+ IF(KF1A.GE.1.AND.KF1A.LE.6) KFL1A=KF1A
+ KTAB2=0
+ IF(KF2A.NE.0) THEN
+ KTAB2=-1
+ IF(KF2A.GE.1.AND.KF2A.LE.6) KTAB2=KF2A
+ KFL2A=MOD(KF2A/1000,10)
+ KFL2B=MOD(KF2A/100,10)
+ KFL2S=MOD(KF2A,10)
+ IF(KFL2A.GE.1.AND.KFL2A.LE.4.AND.KFL2B.GE.1.AND.KFL2B.LE.4)
+ & KTAB2=6+KFL2A*(KFL2A-2)+2*KFL2B+(KFL2S-1)/2
+ IF(KFL2A.GE.1.AND.KFL2A.LE.4.AND.KFL2A.EQ.KFL2B) KTAB2=KTAB2-1
+ ENDIF
+ IF(KTAB1.GE.0.AND.KTAB2.GE.0) GOTO 150
+ ENDIF
+
+C...Parameters and breaking diquark parameter combinations.
+ 100 PAR2=PARJ(2)
+ PAR3=PARJ(3)
+ PAR4=3.*PARJ(4)
+ IF(MSTJ(12).GE.2) THEN
+ PAR3M=SQRT(PARJ(3))
+ PAR4M=1./(3.*SQRT(PARJ(4)))
+ PARDM=PARJ(7)/(PARJ(7)+PAR3M*PARJ(6))
+ PARS0=PARJ(5)*(2.+(1.+PAR2*PAR3M*PARJ(7))*(1.+PAR4M))
+ PARS1=PARJ(7)*PARS0/(2.*PAR3M)+PARJ(5)*(PARJ(6)*(1.+PAR4M)+
+ & PAR2*PAR3M*PARJ(6)*PARJ(7))
+ PARS2=PARJ(5)*2.*PARJ(6)*PARJ(7)*(PAR2*PARJ(7)+(1.+PAR4M)/PAR3M)
+ PARSM=MAX(PARS0,PARS1,PARS2)
+ PAR4=PAR4*(1.+PARSM)/(1.+PARSM/(3.*PAR4M))
+ ENDIF
+
+C...Choice of whether to generate meson or baryon.
+ 110 MBARY=0
+ KFDA=0
+ IF(KF1A.LE.10) THEN
+ IF(KF2A.EQ.0.AND.MSTJ(12).GE.1.AND.(1.+PARJ(1))*RLY(0).GT.1.)
+ & MBARY=1
+ IF(KF2A.GT.10) MBARY=2
+ IF(KF2A.GT.10.AND.KF2A.LE.10000) KFDA=KF2A
+ ELSE
+ MBARY=2
+ IF(KF1A.LE.10000) KFDA=KF1A
+ ENDIF
+
+C...Possibility of process diquark -> meson + new diquark.
+ IF(KFDA.NE.0.AND.MSTJ(12).GE.2) THEN
+ KFLDA=MOD(KFDA/1000,10)
+ KFLDB=MOD(KFDA/100,10)
+ KFLDS=MOD(KFDA,10)
+ WTDQ=PARS0
+ IF(MAX(KFLDA,KFLDB).EQ.3) WTDQ=PARS1
+ IF(MIN(KFLDA,KFLDB).EQ.3) WTDQ=PARS2
+ IF(KFLDS.EQ.1) WTDQ=WTDQ/(3.*PAR4M)
+ IF((1.+WTDQ)*RLY(0).GT.1.) MBARY=-1
+ IF(MBARY.EQ.-1.AND.KF2A.NE.0) RETURN
+ ENDIF
+
+C...Flavour for meson, possibly with new flavour.
+ IF(MBARY.LE.0) THEN
+ KFS=ISIGN(1,KFL1)
+ IF(MBARY.EQ.0) THEN
+ IF(KF2A.EQ.0) KFL3=ISIGN(1+INT((2.+PAR2)*RLY(0)),-KFL1)
+ KFLA=MAX(KF1A,KF2A+IABS(KFL3))
+ KFLB=MIN(KF1A,KF2A+IABS(KFL3))
+ IF(KFLA.NE.KF1A) KFS=-KFS
+
+C...Splitting of diquark into meson plus new diquark.
+ ELSE
+ KFL1A=MOD(KF1A/1000,10)
+ KFL1B=MOD(KF1A/100,10)
+ 120 KFL1D=KFL1A+INT(RLY(0)+0.5)*(KFL1B-KFL1A)
+ KFL1E=KFL1A+KFL1B-KFL1D
+ IF((KFL1D.EQ.3.AND.RLY(0).GT.PARDM).OR.(KFL1E.EQ.3.AND.
+ & RLY(0).LT.PARDM)) THEN
+ KFL1D=KFL1A+KFL1B-KFL1D
+ KFL1E=KFL1A+KFL1B-KFL1E
+ ENDIF
+ KFL3A=1+INT((2.+PAR2*PAR3M*PARJ(7))*RLY(0))
+ IF((KFL1E.NE.KFL3A.AND.RLY(0).GT.(1.+PAR4M)/MAX(2.,1.+PAR4M))
+ & .OR.(KFL1E.EQ.KFL3A.AND.RLY(0).GT.2./MAX(2.,1.+PAR4M)))
+ & GOTO 120
+ KFLDS=3
+ IF(KFL1E.NE.KFL3A) KFLDS=2*INT(RLY(0)+1./(1.+PAR4M))+1
+ KFL3=ISIGN(10000+1000*MAX(KFL1E,KFL3A)+100*MIN(KFL1E,KFL3A)+
+ & KFLDS,-KFL1)
+ KFLA=MAX(KFL1D,KFL3A)
+ KFLB=MIN(KFL1D,KFL3A)
+ IF(KFLA.NE.KFL1D) KFS=-KFS
+ ENDIF
+
+C...Form meson, with spin and flavour mixing for diagonal states.
+ IF(KFLA.LE.2) KMUL=INT(PARJ(11)+RLY(0))
+ IF(KFLA.EQ.3) KMUL=INT(PARJ(12)+RLY(0))
+ IF(KFLA.GE.4) KMUL=INT(PARJ(13)+RLY(0))
+ IF(KMUL.EQ.0.AND.PARJ(14).GT.0.) THEN
+ IF(RLY(0).LT.PARJ(14)) KMUL=2
+ ELSEIF(KMUL.EQ.1.AND.PARJ(15)+PARJ(16)+PARJ(17).GT.0.) THEN
+ RMUL=RLY(0)
+ IF(RMUL.LT.PARJ(15)) KMUL=3
+ IF(KMUL.EQ.1.AND.RMUL.LT.PARJ(15)+PARJ(16)) KMUL=4
+ IF(KMUL.EQ.1.AND.RMUL.LT.PARJ(15)+PARJ(16)+PARJ(17)) KMUL=5
+ ENDIF
+ KFLS=3
+ IF(KMUL.EQ.0.OR.KMUL.EQ.3) KFLS=1
+ IF(KMUL.EQ.5) KFLS=5
+ IF(KFLA.NE.KFLB) THEN
+ KF=(100*KFLA+10*KFLB+KFLS)*KFS*(-1)**KFLA
+ ELSE
+ RMIX=RLY(0)
+ IMIX=2*KFLA+10*KMUL
+ IF(KFLA.LE.3) KF=110*(1+INT(RMIX+PARF(IMIX-1))+
+ & INT(RMIX+PARF(IMIX)))+KFLS
+ IF(KFLA.GE.4) KF=110*KFLA+KFLS
+ ENDIF
+ IF(KMUL.EQ.2.OR.KMUL.EQ.3) KF=KF+ISIGN(10000,KF)
+ IF(KMUL.EQ.4) KF=KF+ISIGN(20000,KF)
+
+C...Optional extra suppression of eta and eta'.
+ IF(KF.EQ.221) THEN
+ IF(RLY(0).GT.PARJ(25)) GOTO 110
+ ELSEIF(KF.EQ.331) THEN
+ IF(RLY(0).GT.PARJ(26)) GOTO 110
+ ENDIF
+
+C...Generate diquark flavour.
+ ELSE
+ 130 IF(KF1A.LE.10.AND.KF2A.EQ.0) THEN
+ KFLA=KF1A
+ 140 KFLB=1+INT((2.+PAR2*PAR3)*RLY(0))
+ KFLC=1+INT((2.+PAR2*PAR3)*RLY(0))
+ KFLDS=1
+ IF(KFLB.GE.KFLC) KFLDS=3
+ IF(KFLDS.EQ.1.AND.PAR4*RLY(0).GT.1.) GOTO 140
+ IF(KFLDS.EQ.3.AND.PAR4.LT.RLY(0)) GOTO 140
+ KFL3=ISIGN(1000*MAX(KFLB,KFLC)+100*MIN(KFLB,KFLC)+KFLDS,KFL1)
+
+C...Take diquark flavour from input.
+ ELSEIF(KF1A.LE.10) THEN
+ KFLA=KF1A
+ KFLB=MOD(KF2A/1000,10)
+ KFLC=MOD(KF2A/100,10)
+ KFLDS=MOD(KF2A,10)
+
+C...Generate (or take from input) quark to go with diquark.
+ ELSE
+ IF(KF2A.EQ.0) KFL3=ISIGN(1+INT((2.+PAR2)*RLY(0)),KFL1)
+ KFLA=KF2A+IABS(KFL3)
+ KFLB=MOD(KF1A/1000,10)
+ KFLC=MOD(KF1A/100,10)
+ KFLDS=MOD(KF1A,10)
+ ENDIF
+
+C...SU(6) factors for formation of baryon. Try again if fails.
+ KBARY=KFLDS
+ IF(KFLDS.EQ.3.AND.KFLB.NE.KFLC) KBARY=5
+ IF(KFLA.NE.KFLB.AND.KFLA.NE.KFLC) KBARY=KBARY+1
+ WT=PARF(60+KBARY)+PARJ(18)*PARF(70+KBARY)
+ IF(MBARY.EQ.1.AND.MSTJ(12).GE.2) THEN
+ WTDQ=PARS0
+ IF(MAX(KFLB,KFLC).EQ.3) WTDQ=PARS1
+ IF(MIN(KFLB,KFLC).EQ.3) WTDQ=PARS2
+ IF(KFLDS.EQ.1) WTDQ=WTDQ/(3.*PAR4M)
+ IF(KFLDS.EQ.1) WT=WT*(1.+WTDQ)/(1.+PARSM/(3.*PAR4M))
+ IF(KFLDS.EQ.3) WT=WT*(1.+WTDQ)/(1.+PARSM)
+ ENDIF
+ IF(KF2A.EQ.0.AND.WT.LT.RLY(0)) GOTO 130
+
+C...Form baryon. Distinguish Lambda- and Sigmalike baryons.
+ KFLD=MAX(KFLA,KFLB,KFLC)
+ KFLF=MIN(KFLA,KFLB,KFLC)
+ KFLE=KFLA+KFLB+KFLC-KFLD-KFLF
+ KFLS=2
+ IF((PARF(60+KBARY)+PARJ(18)*PARF(70+KBARY))*RLY(0).GT.
+ & PARF(60+KBARY)) KFLS=4
+ KFLL=0
+ IF(KFLS.EQ.2.AND.KFLD.GT.KFLE.AND.KFLE.GT.KFLF) THEN
+ IF(KFLDS.EQ.1.AND.KFLA.EQ.KFLD) KFLL=1
+ IF(KFLDS.EQ.1.AND.KFLA.NE.KFLD) KFLL=INT(0.25+RLY(0))
+ IF(KFLDS.EQ.3.AND.KFLA.NE.KFLD) KFLL=INT(0.75+RLY(0))
+ ENDIF
+ IF(KFLL.EQ.0) KF=ISIGN(1000*KFLD+100*KFLE+10*KFLF+KFLS,KFL1)
+ IF(KFLL.EQ.1) KF=ISIGN(1000*KFLD+100*KFLF+10*KFLE+KFLS,KFL1)
+ ENDIF
+ RETURN
+
+C...Use tabulated probabilities to select new flavour and hadron.
+ 150 IF(KTAB2.EQ.0.AND.MSTJ(12).LE.0) THEN
+ KT3L=1
+ KT3U=6
+ ELSEIF(KTAB2.EQ.0.AND.KTAB1.GE.7.AND.MSTJ(12).LE.1) THEN
+ KT3L=1
+ KT3U=6
+ ELSEIF(KTAB2.EQ.0) THEN
+ KT3L=1
+ KT3U=22
+ ELSE
+ KT3L=KTAB2
+ KT3U=KTAB2
+ ENDIF
+ RFL=0.
+ DO 170 KTS=0,2
+ DO 160 KT3=KT3L,KT3U
+ RFL=RFL+PARF(120+80*KTAB1+25*KTS+KT3)
+ 160 CONTINUE
+ 170 CONTINUE
+ RFL=RLY(0)*RFL
+ DO 190 KTS=0,2
+ KTABS=KTS
+ DO 180 KT3=KT3L,KT3U
+ KTAB3=KT3
+ RFL=RFL-PARF(120+80*KTAB1+25*KTS+KT3)
+ IF(RFL.LE.0.) GOTO 200
+ 180 CONTINUE
+ 190 CONTINUE
+ 200 CONTINUE
+
+C...Reconstruct flavour of produced quark/diquark.
+ IF(KTAB3.LE.6) THEN
+ KFL3A=KTAB3
+ KFL3B=0
+ KFL3=ISIGN(KFL3A,KFL1*(2*KTAB1-13))
+ ELSE
+ KFL3A=1
+ IF(KTAB3.GE.8) KFL3A=2
+ IF(KTAB3.GE.11) KFL3A=3
+ IF(KTAB3.GE.16) KFL3A=4
+ KFL3B=(KTAB3-6-KFL3A*(KFL3A-2))/2
+ KFL3=1000*KFL3A+100*KFL3B+1
+ IF(KFL3A.EQ.KFL3B.OR.KTAB3.NE.6+KFL3A*(KFL3A-2)+2*KFL3B) KFL3=
+ & KFL3+2
+ KFL3=ISIGN(KFL3,KFL1*(13-2*KTAB1))
+ ENDIF
+
+C...Reconstruct meson code.
+ IF(KFL3A.EQ.KFL1A.AND.KFL3B.EQ.KFL1B.AND.(KFL3A.LE.3.OR.
+ &KFL3B.NE.0)) THEN
+ RFL=RLY(0)*(PARF(143+80*KTAB1+25*KTABS)+PARF(144+80*KTAB1+
+ & 25*KTABS)+PARF(145+80*KTAB1+25*KTABS))
+ KF=110+2*KTABS+1
+ IF(RFL.GT.PARF(143+80*KTAB1+25*KTABS)) KF=220+2*KTABS+1
+ IF(RFL.GT.PARF(143+80*KTAB1+25*KTABS)+PARF(144+80*KTAB1+
+ & 25*KTABS)) KF=330+2*KTABS+1
+ ELSEIF(KTAB1.LE.6.AND.KTAB3.LE.6) THEN
+ KFLA=MAX(KTAB1,KTAB3)
+ KFLB=MIN(KTAB1,KTAB3)
+ KFS=ISIGN(1,KFL1)
+ IF(KFLA.NE.KF1A) KFS=-KFS
+ KF=(100*KFLA+10*KFLB+2*KTABS+1)*KFS*(-1)**KFLA
+ ELSEIF(KTAB1.GE.7.AND.KTAB3.GE.7) THEN
+ KFS=ISIGN(1,KFL1)
+ IF(KFL1A.EQ.KFL3A) THEN
+ KFLA=MAX(KFL1B,KFL3B)
+ KFLB=MIN(KFL1B,KFL3B)
+ IF(KFLA.NE.KFL1B) KFS=-KFS
+ ELSEIF(KFL1A.EQ.KFL3B) THEN
+ KFLA=KFL3A
+ KFLB=KFL1B
+ KFS=-KFS
+ ELSEIF(KFL1B.EQ.KFL3A) THEN
+ KFLA=KFL1A
+ KFLB=KFL3B
+ ELSEIF(KFL1B.EQ.KFL3B) THEN
+ KFLA=MAX(KFL1A,KFL3A)
+ KFLB=MIN(KFL1A,KFL3A)
+ IF(KFLA.NE.KFL1A) KFS=-KFS
+ ELSE
+ CALL LYERRM(2,'(LYKFDI:) no matching flavours for qq -> qq')
+ GOTO 100
+ ENDIF
+ KF=(100*KFLA+10*KFLB+2*KTABS+1)*KFS*(-1)**KFLA
+
+C...Reconstruct baryon code.
+ ELSE
+ IF(KTAB1.GE.7) THEN
+ KFLA=KFL3A
+ KFLB=KFL1A
+ KFLC=KFL1B
+ ELSE
+ KFLA=KFL1A
+ KFLB=KFL3A
+ KFLC=KFL3B
+ ENDIF
+ KFLD=MAX(KFLA,KFLB,KFLC)
+ KFLF=MIN(KFLA,KFLB,KFLC)
+ KFLE=KFLA+KFLB+KFLC-KFLD-KFLF
+ IF(KTABS.EQ.0) KF=ISIGN(1000*KFLD+100*KFLF+10*KFLE+2,KFL1)
+ IF(KTABS.GE.1) KF=ISIGN(1000*KFLD+100*KFLE+10*KFLF+2*KTABS,KFL1)
+ ENDIF
+
+C...Check that constructed flavour code is an allowed one.
+ IF(KFL2.NE.0) KFL3=0
+ KC=LYCOMP(KF)
+ IF(KC.EQ.0) THEN
+ CALL LYERRM(2,'(LYKFDI:) user-defined flavour probabilities '//
+ & 'failed')
+ GOTO 100
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYPTDI(KFL,PX,PY)
+
+C...Purpose: to generate transverse momentum according to a Gaussian.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+
+C...Generate p_T and azimuthal angle, gives p_x and p_y.
+ KFLA=IABS(KFL)
+ PT=PARJ(21)*SQRT(-LOG(MAX(1E-10,RLY(0))))
+ IF(PARJ(23).GT.RLY(0)) PT=PARJ(24)*PT
+ IF(MSTJ(91).EQ.1) PT=PARJ(22)*PT
+ IF(KFLA.EQ.0.AND.MSTJ(13).LE.0) PT=0.
+ PHI=PARU(2)*RLY(0)
+ PX=PT*COS(PHI)
+ PY=PT*SIN(PHI)
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYZDIS(KFL1,KFL2,PR,Z)
+
+C...Purpose: to generate the longitudinal splitting variable z.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT1/,/LYDAT2/
+
+C...Check if heavy flavour fragmentation.
+ KFLA=IABS(KFL1)
+ KFLB=IABS(KFL2)
+ KFLH=KFLA
+ IF(KFLA.GE.10) KFLH=MOD(KFLA/1000,10)
+
+C...Lund symmetric scaling function: determine parameters of shape.
+ IF(MSTJ(11).EQ.1.OR.(MSTJ(11).EQ.3.AND.KFLH.LE.3).OR.
+ &MSTJ(11).GE.4) THEN
+ FA=PARJ(41)
+ IF(MSTJ(91).EQ.1) FA=PARJ(43)
+ IF(KFLB.GE.10) FA=FA+PARJ(45)
+ FBB=PARJ(42)
+ IF(MSTJ(91).EQ.1) FBB=PARJ(44)
+ FB=FBB*PR
+ FC=1.
+ IF(KFLA.GE.10) FC=FC-PARJ(45)
+ IF(KFLB.GE.10) FC=FC+PARJ(45)
+ IF(MSTJ(11).GE.4.AND.KFLH.GE.4.AND.KFLH.LE.5) THEN
+ FRED=PARJ(46)
+ IF(MSTJ(11).EQ.5.AND.KFLH.EQ.5) FRED=PARJ(47)
+ FC=FC+FRED*FBB*PARF(100+KFLH)**2
+ ELSEIF(MSTJ(11).GE.4.AND.KFLH.GE.6.AND.KFLH.LE.8) THEN
+ FRED=PARJ(46)
+ IF(MSTJ(11).EQ.5) FRED=PARJ(48)
+ FC=FC+FRED*FBB*PMAS(KFLH,1)**2
+ ENDIF
+ MC=1
+ IF(ABS(FC-1.).GT.0.01) MC=2
+
+C...Determine position of maximum. Special cases for a = 0 or a = c.
+ IF(FA.LT.0.02) THEN
+ MA=1
+ ZMAX=1.
+ IF(FC.GT.FB) ZMAX=FB/FC
+ ELSEIF(ABS(FC-FA).LT.0.01) THEN
+ MA=2
+ ZMAX=FB/(FB+FC)
+ ELSE
+ MA=3
+ ZMAX=0.5*(FB+FC-SQRT((FB-FC)**2+4.*FA*FB))/(FC-FA)
+ IF(ZMAX.GT.0.9999.AND.FB.GT.100.) ZMAX=MIN(ZMAX,1.-FA/FB)
+ ENDIF
+
+C...Subdivide z range if distribution very peaked near endpoint.
+ MMAX=2
+ IF(ZMAX.LT.0.1) THEN
+ MMAX=1
+ ZDIV=2.75*ZMAX
+ IF(MC.EQ.1) THEN
+ FINT=1.-LOG(ZDIV)
+ ELSE
+ ZDIVC=ZDIV**(1.-FC)
+ FINT=1.+(1.-1./ZDIVC)/(FC-1.)
+ ENDIF
+ ELSEIF(ZMAX.GT.0.85.AND.FB.GT.1.) THEN
+ MMAX=3
+ FSCB=SQRT(4.+(FC/FB)**2)
+ ZDIV=FSCB-1./ZMAX-(FC/FB)*LOG(ZMAX*0.5*(FSCB+FC/FB))
+ IF(MA.GE.2) ZDIV=ZDIV+(FA/FB)*LOG(1.-ZMAX)
+ ZDIV=MIN(ZMAX,MAX(0.,ZDIV))
+ FINT=1.+FB*(1.-ZDIV)
+ ENDIF
+
+C...Choice of z, preweighted for peaks at low or high z.
+ 100 Z=RLY(0)
+ FPRE=1.
+ IF(MMAX.EQ.1) THEN
+ IF(FINT*RLY(0).LE.1.) THEN
+ Z=ZDIV*Z
+ ELSEIF(MC.EQ.1) THEN
+ Z=ZDIV**Z
+ FPRE=ZDIV/Z
+ ELSE
+ Z=(ZDIVC+Z*(1.-ZDIVC))**(1./(1.-FC))
+ FPRE=(ZDIV/Z)**FC
+ ENDIF
+ ELSEIF(MMAX.EQ.3) THEN
+ IF(FINT*RLY(0).LE.1.) THEN
+ Z=ZDIV+LOG(Z)/FB
+ FPRE=EXP(FB*(Z-ZDIV))
+ ELSE
+ Z=ZDIV+Z*(1.-ZDIV)
+ ENDIF
+ ENDIF
+
+C...Weighting according to correct formula.
+ IF(Z.LE.0..OR.Z.GE.1.) GOTO 100
+ FEXP=FC*LOG(ZMAX/Z)+FB*(1./ZMAX-1./Z)
+ IF(MA.GE.2) FEXP=FEXP+FA*LOG((1.-Z)/(1.-ZMAX))
+ FVAL=EXP(MAX(-50.,MIN(50.,FEXP)))
+ IF(FVAL.LT.RLY(0)*FPRE) GOTO 100
+
+C...Generate z according to Field-Feynman, SLAC, (1-z)**c OR z**c.
+ ELSE
+ FC=PARJ(50+MAX(1,KFLH))
+ IF(MSTJ(91).EQ.1) FC=PARJ(59)
+ 110 Z=RLY(0)
+ IF(FC.GE.0..AND.FC.LE.1.) THEN
+ IF(FC.GT.RLY(0)) Z=1.-Z**(1./3.)
+ ELSEIF(FC.GT.-1.AND.FC.LT.0.) THEN
+ IF(-4.*FC*Z*(1.-Z)**2.LT.RLY(0)*((1.-Z)**2-FC*Z)**2) GOTO 110
+ ELSE
+ IF(FC.GT.0.) Z=1.-Z**(1./FC)
+ IF(FC.LT.0.) Z=Z**(-1./FC)
+ ENDIF
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYSHOW(IP1,IP2,QMAX)
+
+C...Purpose: to generate timelike parton showers from given partons.
+ IMPLICIT DOUBLE PRECISION(D)
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION PMTH(5,50),PS(5),PMA(4),PMSD(4),IEP(4),IPA(4),
+ &KFLA(4),KFLD(4),KFL(4),ITRY(4),ISI(4),ISL(4),DP(4),DPT(5,4),
+ &KSH(0:40),KCII(2),NIIS(2),IIIS(2,2),THEIIS(2,2),PHIIIS(2,2),
+ &ISII(2)
+
+C...Initialization of cutoff masses etc.
+ IF(MSTJ(41).LE.0.OR.(MSTJ(41).EQ.1.AND.QMAX.LE.PARJ(82)).OR.
+ &QMAX.LE.MIN(PARJ(82),PARJ(83))) RETURN
+ DO 100 IFL=0,40
+ KSH(IFL)=0
+ 100 CONTINUE
+ KSH(21)=1
+ PMTH(1,21)=UYMASS(21)
+ PMTH(2,21)=SQRT(PMTH(1,21)**2+0.25*PARJ(82)**2)
+ PMTH(3,21)=2.*PMTH(2,21)
+ PMTH(4,21)=PMTH(3,21)
+ PMTH(5,21)=PMTH(3,21)
+ PMTH(1,22)=UYMASS(22)
+ PMTH(2,22)=SQRT(PMTH(1,22)**2+0.25*PARJ(83)**2)
+ PMTH(3,22)=2.*PMTH(2,22)
+ PMTH(4,22)=PMTH(3,22)
+ PMTH(5,22)=PMTH(3,22)
+ PMQTH1=PARJ(82)
+ IF(MSTJ(41).GE.2) PMQTH1=MIN(PARJ(82),PARJ(83))
+ PMQTH2=PMTH(2,21)
+ IF(MSTJ(41).GE.2) PMQTH2=MIN(PMTH(2,21),PMTH(2,22))
+ DO 110 IFL=1,8
+ KSH(IFL)=1
+ PMTH(1,IFL)=UYMASS(IFL)
+ PMTH(2,IFL)=SQRT(PMTH(1,IFL)**2+0.25*PMQTH1**2)
+ PMTH(3,IFL)=PMTH(2,IFL)+PMQTH2
+ PMTH(4,IFL)=SQRT(PMTH(1,IFL)**2+0.25*PARJ(82)**2)+PMTH(2,21)
+ PMTH(5,IFL)=SQRT(PMTH(1,IFL)**2+0.25*PARJ(83)**2)+PMTH(2,22)
+ 110 CONTINUE
+ DO 120 IFL=11,17,2
+ IF(MSTJ(41).GE.2) KSH(IFL)=1
+ PMTH(1,IFL)=UYMASS(IFL)
+ PMTH(2,IFL)=SQRT(PMTH(1,IFL)**2+0.25*PARJ(83)**2)
+ PMTH(3,IFL)=PMTH(2,IFL)+PMTH(2,22)
+ PMTH(4,IFL)=PMTH(3,IFL)
+ PMTH(5,IFL)=PMTH(3,IFL)
+ 120 CONTINUE
+ PT2MIN=MAX(0.5*PARJ(82),1.1*PARJ(81))**2
+ ALAMS=PARJ(81)**2
+ ALFM=LOG(PT2MIN/ALAMS)
+
+C...Store positions of shower initiating partons.
+ IF(IP1.GT.0.AND.IP1.LE.MIN(N,MSTU(4)-MSTU(32)).AND.IP2.EQ.0) THEN
+ NPA=1
+ IPA(1)=IP1
+ ELSEIF(MIN(IP1,IP2).GT.0.AND.MAX(IP1,IP2).LE.MIN(N,MSTU(4)-
+ &MSTU(32))) THEN
+ NPA=2
+ IPA(1)=IP1
+ IPA(2)=IP2
+ ELSEIF(IP1.GT.0.AND.IP1.LE.MIN(N,MSTU(4)-MSTU(32)).AND.IP2.LT.0
+ &.AND.IP2.GE.-3) THEN
+ NPA=IABS(IP2)
+ DO 130 I=1,NPA
+ IPA(I)=IP1+I-1
+ 130 CONTINUE
+ ELSE
+ CALL LYERRM(12,
+ & '(LYSHOW:) failed to reconstruct showering system')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Check on phase space available for emission.
+ IREJ=0
+ DO 140 J=1,5
+ PS(J)=0.
+ 140 CONTINUE
+ PM=0.
+ DO 160 I=1,NPA
+ KFLA(I)=IABS(K(IPA(I),2))
+ PMA(I)=P(IPA(I),5)
+C...Special cutoff masses for t, l, h with variable masses.
+ IFLA=KFLA(I)
+ IF(KFLA(I).GE.6.AND.KFLA(I).LE.8) THEN
+ IFLA=37+KFLA(I)+ISIGN(2,K(IPA(I),2))
+ PMTH(1,IFLA)=PMA(I)
+ PMTH(2,IFLA)=SQRT(PMTH(1,IFLA)**2+0.25*PMQTH1**2)
+ PMTH(3,IFLA)=PMTH(2,IFLA)+PMQTH2
+ PMTH(4,IFLA)=SQRT(PMTH(1,IFLA)**2+0.25*PARJ(82)**2)+PMTH(2,21)
+ PMTH(5,IFLA)=SQRT(PMTH(1,IFLA)**2+0.25*PARJ(83)**2)+PMTH(2,22)
+ ENDIF
+ IF(KFLA(I).LE.40) THEN
+ IF(KSH(KFLA(I)).EQ.1) PMA(I)=PMTH(3,IFLA)
+ ENDIF
+ PM=PM+PMA(I)
+ IF(KFLA(I).GT.40) THEN
+ IREJ=IREJ+1
+ ELSE
+ IF(KSH(KFLA(I)).EQ.0.OR.PMA(I).GT.QMAX) IREJ=IREJ+1
+ ENDIF
+ DO 150 J=1,4
+ PS(J)=PS(J)+P(IPA(I),J)
+ 150 CONTINUE
+ 160 CONTINUE
+ IF(IREJ.EQ.NPA) RETURN
+ PS(5)=SQRT(MAX(0.,PS(4)**2-PS(1)**2-PS(2)**2-PS(3)**2))
+ IF(NPA.EQ.1) PS(5)=PS(4)
+ IF(PS(5).LE.PM+PMQTH1) RETURN
+
+C...Check if 3-jet matrix elements to be used.
+ M3JC=0
+ IF(NPA.EQ.2.AND.MSTJ(47).GE.1) THEN
+ IF(KFLA(1).GE.1.AND.KFLA(1).LE.8.AND.KFLA(2).GE.1.AND.
+ & KFLA(2).LE.8) M3JC=1
+ IF((KFLA(1).EQ.11.OR.KFLA(1).EQ.13.OR.KFLA(1).EQ.15.OR.
+ & KFLA(1).EQ.17).AND.KFLA(2).EQ.KFLA(1)) M3JC=1
+ IF((KFLA(1).EQ.11.OR.KFLA(1).EQ.13.OR.KFLA(1).EQ.15.OR.
+ & KFLA(1).EQ.17).AND.KFLA(2).EQ.KFLA(1)+1) M3JC=1
+ IF((KFLA(1).EQ.12.OR.KFLA(1).EQ.14.OR.KFLA(1).EQ.16.OR.
+ & KFLA(1).EQ.18).AND.KFLA(2).EQ.KFLA(1)-1) M3JC=1
+ IF(MSTJ(47).EQ.2.OR.MSTJ(47).EQ.4) M3JC=1
+ M3JCM=0
+ IF(M3JC.EQ.1.AND.MSTJ(47).GE.3.AND.KFLA(1).EQ.KFLA(2)) THEN
+ M3JCM=1
+ QME=(2.*PMTH(1,KFLA(1))/PS(5))**2
+ ENDIF
+ ENDIF
+
+C...Find if interference with initial state partons.
+ MIIS=0
+ IF(MSTJ(50).GE.1.AND.MSTJ(50).LE.3.AND.NPA.EQ.2) MIIS=MSTJ(50)
+ IF(MIIS.NE.0) THEN
+ DO 180 I=1,2
+ KCII(I)=0
+ KCA=LYCOMP(KFLA(I))
+ IF(KCA.NE.0) KCII(I)=KCHG(KCA,2)*ISIGN(1,K(IPA(I),2))
+ NIIS(I)=0
+ IF(KCII(I).NE.0) THEN
+ DO 170 J=1,2
+ ICSI=MOD(K(IPA(I),3+J)/MSTU(5),MSTU(5))
+ IF(ICSI.GT.0.AND.ICSI.NE.IPA(1).AND.ICSI.NE.IPA(2).AND.
+ & (KCII(I).EQ.(-1)**(J+1).OR.KCII(I).EQ.2)) THEN
+ NIIS(I)=NIIS(I)+1
+ IIIS(I,NIIS(I))=ICSI
+ ENDIF
+ 170 CONTINUE
+ ENDIF
+ 180 CONTINUE
+ IF(NIIS(1)+NIIS(2).EQ.0) MIIS=0
+ ENDIF
+
+C...Boost interfering initial partons to rest frame
+C...and reconstruct their polar and azimuthal angles.
+ IF(MIIS.NE.0) THEN
+ DO 200 I=1,2
+ DO 190 J=1,5
+ K(N+I,J)=K(IPA(I),J)
+ P(N+I,J)=P(IPA(I),J)
+ V(N+I,J)=0.
+ 190 CONTINUE
+ 200 CONTINUE
+ DO 220 I=3,2+NIIS(1)
+ DO 210 J=1,5
+ K(N+I,J)=K(IIIS(1,I-2),J)
+ P(N+I,J)=P(IIIS(1,I-2),J)
+ V(N+I,J)=0.
+ 210 CONTINUE
+ 220 CONTINUE
+ DO 240 I=3+NIIS(1),2+NIIS(1)+NIIS(2)
+ DO 230 J=1,5
+ K(N+I,J)=K(IIIS(2,I-2-NIIS(1)),J)
+ P(N+I,J)=P(IIIS(2,I-2-NIIS(1)),J)
+ V(N+I,J)=0.
+ 230 CONTINUE
+ 240 CONTINUE
+ CALL LUDBRB(N+1,N+2+NIIS(1)+NIIS(2),0.,0.,-DBLE(PS(1)/PS(4)),
+ & -DBLE(PS(2)/PS(4)),-DBLE(PS(3)/PS(4)))
+ PHI=UYANGL(P(N+1,1),P(N+1,2))
+ CALL LUDBRB(N+1,N+2+NIIS(1)+NIIS(2),0.,-PHI,0D0,0D0,0D0)
+ THE=UYANGL(P(N+1,3),P(N+1,1))
+ CALL LUDBRB(N+1,N+2+NIIS(1)+NIIS(2),-THE,0.,0D0,0D0,0D0)
+ DO 250 I=3,2+NIIS(1)
+ THEIIS(1,I-2)=UYANGL(P(N+I,3),SQRT(P(N+I,1)**2+P(N+I,2)**2))
+ PHIIIS(1,I-2)=UYANGL(P(N+I,1),P(N+I,2))
+ 250 CONTINUE
+ DO 260 I=3+NIIS(1),2+NIIS(1)+NIIS(2)
+ THEIIS(2,I-2-NIIS(1))=PARU(1)-UYANGL(P(N+I,3),
+ & SQRT(P(N+I,1)**2+P(N+I,2)**2))
+ PHIIIS(2,I-2-NIIS(1))=UYANGL(P(N+I,1),P(N+I,2))
+ 260 CONTINUE
+ ENDIF
+
+C...Define imagined single initiator of shower for parton system.
+ NS=N
+ IF(N.GT.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYSHOW:) no more memory left in LUJETS')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IF(NPA.GE.2) THEN
+ K(N+1,1)=11
+ K(N+1,2)=21
+ K(N+1,3)=0
+ K(N+1,4)=0
+ K(N+1,5)=0
+ P(N+1,1)=0.
+ P(N+1,2)=0.
+ P(N+1,3)=0.
+ P(N+1,4)=PS(5)
+ P(N+1,5)=PS(5)
+ V(N+1,5)=PS(5)**2
+ N=N+1
+ ENDIF
+
+C...Loop over partons that may branch.
+ NEP=NPA
+ IM=NS
+ IF(NPA.EQ.1) IM=NS-1
+ 270 IM=IM+1
+ IF(N.GT.NS) THEN
+ IF(IM.GT.N) GOTO 510
+ KFLM=IABS(K(IM,2))
+ IF(KFLM.GT.40) GOTO 270
+ IF(KSH(KFLM).EQ.0) GOTO 270
+ IFLM=KFLM
+ IF(KFLM.GE.6.AND.KFLM.LE.8) IFLM=37+KFLM+ISIGN(2,K(IM,2))
+ IF(P(IM,5).LT.PMTH(2,IFLM)) GOTO 270
+ IGM=K(IM,3)
+ ELSE
+ IGM=-1
+ ENDIF
+ IF(N+NEP.GT.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYSHOW:) no more memory left in LUJETS')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Position of aunt (sister to branching parton).
+C...Origin and flavour of daughters.
+ IAU=0
+ IF(IGM.GT.0) THEN
+ IF(K(IM-1,3).EQ.IGM) IAU=IM-1
+ IF(N.GE.IM+1.AND.K(IM+1,3).EQ.IGM) IAU=IM+1
+ ENDIF
+ IF(IGM.GE.0) THEN
+ K(IM,4)=N+1
+ DO 280 I=1,NEP
+ K(N+I,3)=IM
+ 280 CONTINUE
+ ELSE
+ K(N+1,3)=IPA(1)
+ ENDIF
+ IF(IGM.LE.0) THEN
+ DO 290 I=1,NEP
+ K(N+I,2)=K(IPA(I),2)
+ 290 CONTINUE
+ ELSEIF(KFLM.NE.21) THEN
+ K(N+1,2)=K(IM,2)
+ K(N+2,2)=K(IM,5)
+ ELSEIF(K(IM,5).EQ.21) THEN
+ K(N+1,2)=21
+ K(N+2,2)=21
+ ELSE
+ K(N+1,2)=K(IM,5)
+ K(N+2,2)=-K(IM,5)
+ ENDIF
+
+C...Reset flags on daughers and tries made.
+ DO 300 IP=1,NEP
+ K(N+IP,1)=3
+ K(N+IP,4)=0
+ K(N+IP,5)=0
+ KFLD(IP)=IABS(K(N+IP,2))
+ IF(KCHG(LYCOMP(KFLD(IP)),2).EQ.0) K(N+IP,1)=1
+ ITRY(IP)=0
+ ISL(IP)=0
+ ISI(IP)=0
+ IF(KFLD(IP).LE.40) THEN
+ IF(KSH(KFLD(IP)).EQ.1) ISI(IP)=1
+ ENDIF
+ 300 CONTINUE
+ ISLM=0
+
+C...Maximum virtuality of daughters.
+ IF(IGM.LE.0) THEN
+ DO 310 I=1,NPA
+ IF(NPA.GE.3) P(N+I,4)=(PS(4)*P(IPA(I),4)-PS(1)*P(IPA(I),1)-
+ & PS(2)*P(IPA(I),2)-PS(3)*P(IPA(I),3))/PS(5)
+ P(N+I,5)=MIN(QMAX,PS(5))
+ IF(NPA.GE.3) P(N+I,5)=MIN(P(N+I,5),P(N+I,4))
+ IF(ISI(I).EQ.0) P(N+I,5)=P(IPA(I),5)
+ 310 CONTINUE
+ ELSE
+ IF(MSTJ(43).LE.2) PEM=V(IM,2)
+ IF(MSTJ(43).GE.3) PEM=P(IM,4)
+ P(N+1,5)=MIN(P(IM,5),V(IM,1)*PEM)
+ P(N+2,5)=MIN(P(IM,5),(1.-V(IM,1))*PEM)
+ IF(K(N+2,2).EQ.22) P(N+2,5)=PMTH(1,22)
+ ENDIF
+ DO 320 I=1,NEP
+ PMSD(I)=P(N+I,5)
+ IF(ISI(I).EQ.1) THEN
+ IFLD=KFLD(I)
+ IF(KFLD(I).GE.6.AND.KFLD(I).LE.8) IFLD=37+KFLD(I)+
+ & ISIGN(2,K(N+I,2))
+ IF(P(N+I,5).LE.PMTH(3,IFLD)) P(N+I,5)=PMTH(1,IFLD)
+ ENDIF
+ V(N+I,5)=P(N+I,5)**2
+ 320 CONTINUE
+
+C...Choose one of the daughters for evolution.
+ 330 INUM=0
+ IF(NEP.EQ.1) INUM=1
+ DO 340 I=1,NEP
+ IF(INUM.EQ.0.AND.ISL(I).EQ.1) INUM=I
+ 340 CONTINUE
+ DO 350 I=1,NEP
+ IF(INUM.EQ.0.AND.ITRY(I).EQ.0.AND.ISI(I).EQ.1) THEN
+ IFLD=KFLD(I)
+ IF(KFLD(I).GE.6.AND.KFLD(I).LE.8) IFLD=37+KFLD(I)+
+ & ISIGN(2,K(N+I,2))
+ IF(P(N+I,5).GE.PMTH(2,IFLD)) INUM=I
+ ENDIF
+ 350 CONTINUE
+ IF(INUM.EQ.0) THEN
+ RMAX=0.
+ DO 360 I=1,NEP
+ IF(ISI(I).EQ.1.AND.PMSD(I).GE.PMQTH2) THEN
+ RPM=P(N+I,5)/PMSD(I)
+ IFLD=KFLD(I)
+ IF(KFLD(I).GE.6.AND.KFLD(I).LE.8) IFLD=37+KFLD(I)+
+ & ISIGN(2,K(N+I,2))
+ IF(RPM.GT.RMAX.AND.P(N+I,5).GE.PMTH(2,IFLD)) THEN
+ RMAX=RPM
+ INUM=I
+ ENDIF
+ ENDIF
+ 360 CONTINUE
+ ENDIF
+
+C...Store information on choice of evolving daughter.
+ INUM=MAX(1,INUM)
+ IEP(1)=N+INUM
+ DO 370 I=2,NEP
+ IEP(I)=IEP(I-1)+1
+ IF(IEP(I).GT.N+NEP) IEP(I)=N+1
+ 370 CONTINUE
+ DO 380 I=1,NEP
+ KFL(I)=IABS(K(IEP(I),2))
+ 380 CONTINUE
+ ITRY(INUM)=ITRY(INUM)+1
+ IF(ITRY(INUM).GT.200) THEN
+ CALL LYERRM(14,'(LYSHOW:) caught in infinite loop')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ Z=0.5
+ IF(KFL(1).GT.40) GOTO 430
+ IF(KSH(KFL(1)).EQ.0) GOTO 430
+ IFL=KFL(1)
+ IF(KFL(1).GE.6.AND.KFL(1).LE.8) IFL=37+KFL(1)+
+ &ISIGN(2,K(IEP(1),2))
+ IF(P(IEP(1),5).LT.PMTH(2,IFL)) GOTO 430
+
+C...Select side for interference with initial state partons.
+ IF(MIIS.GE.1.AND.IEP(1).LE.NS+3) THEN
+ III=IEP(1)-NS-1
+ ISII(III)=0
+ IF(IABS(KCII(III)).EQ.1.AND.NIIS(III).EQ.1) THEN
+ ISII(III)=1
+ ELSEIF(KCII(III).EQ.2.AND.NIIS(III).EQ.1) THEN
+ IF(RLY(0).GT.0.5) ISII(III)=1
+ ELSEIF(KCII(III).EQ.2.AND.NIIS(III).EQ.2) THEN
+ ISII(III)=1
+ IF(RLY(0).GT.0.5) ISII(III)=2
+ ENDIF
+ ENDIF
+
+C...Calculate allowed z range.
+ IF(NEP.EQ.1) THEN
+ PMED=PS(4)
+ ELSEIF(IGM.EQ.0.OR.MSTJ(43).LE.2) THEN
+ PMED=P(IM,5)
+ ELSE
+ IF(INUM.EQ.1) PMED=V(IM,1)*PEM
+ IF(INUM.EQ.2) PMED=(1.-V(IM,1))*PEM
+ ENDIF
+ IF(MOD(MSTJ(43),2).EQ.1) THEN
+ ZC=PMTH(2,21)/PMED
+ ZCE=PMTH(2,22)/PMED
+ ELSE
+ ZC=0.5*(1.-SQRT(MAX(0.,1.-(2.*PMTH(2,21)/PMED)**2)))
+ IF(ZC.LT.1E-4) ZC=(PMTH(2,21)/PMED)**2
+ ZCE=0.5*(1.-SQRT(MAX(0.,1.-(2.*PMTH(2,22)/PMED)**2)))
+ IF(ZCE.LT.1E-4) ZCE=(PMTH(2,22)/PMED)**2
+ ENDIF
+ ZC=MIN(ZC,0.491)
+ ZCE=MIN(ZCE,0.491)
+ IF((MSTJ(41).EQ.1.AND.ZC.GT.0.49).OR.(MSTJ(41).GE.2.AND.
+ &MIN(ZC,ZCE).GT.0.49)) THEN
+ P(IEP(1),5)=PMTH(1,IFL)
+ V(IEP(1),5)=P(IEP(1),5)**2
+ GOTO 430
+ ENDIF
+
+C...Integral of Altarelli-Parisi z kernel for QCD.
+ IF(MSTJ(49).EQ.0.AND.KFL(1).EQ.21) THEN
+ FBR=6.*LOG((1.-ZC)/ZC)+MSTJ(45)*(0.5-ZC)
+ ELSEIF(MSTJ(49).EQ.0) THEN
+ FBR=(8./3.)*LOG((1.-ZC)/ZC)
+
+C...Integral of Altarelli-Parisi z kernel for scalar gluon.
+ ELSEIF(MSTJ(49).EQ.1.AND.KFL(1).EQ.21) THEN
+ FBR=(PARJ(87)+MSTJ(45)*PARJ(88))*(1.-2.*ZC)
+ ELSEIF(MSTJ(49).EQ.1) THEN
+ FBR=(1.-2.*ZC)/3.
+ IF(IGM.EQ.0.AND.M3JC.EQ.1) FBR=4.*FBR
+
+C...Integral of Altarelli-Parisi z kernel for Abelian vector gluon.
+ ELSEIF(KFL(1).EQ.21) THEN
+ FBR=6.*MSTJ(45)*(0.5-ZC)
+ ELSE
+ FBR=2.*LOG((1.-ZC)/ZC)
+ ENDIF
+
+C...Reset QCD probability for lepton.
+ IF(KFL(1).GE.11.AND.KFL(1).LE.18) FBR=0.
+
+C...Integral of Altarelli-Parisi kernel for photon emission.
+ IF(MSTJ(41).GE.2.AND.KFL(1).GE.1.AND.KFL(1).LE.18) THEN
+ FBRE=(KCHG(KFL(1),1)/3.)**2*2.*LOG((1.-ZCE)/ZCE)
+ IF(MSTJ(41).EQ.10) FBRE=PARJ(84)*FBRE
+ ENDIF
+
+C...Inner veto algorithm starts. Find maximum mass for evolution.
+ 390 PMS=V(IEP(1),5)
+ IF(IGM.GE.0) THEN
+ PM2=0.
+ DO 400 I=2,NEP
+ PM=P(IEP(I),5)
+ IF(KFL(I).LE.40) THEN
+ IFLI=KFL(I)
+ IF(KFL(I).GE.6.AND.KFL(I).LE.8) IFLI=37+KFL(I)+
+ & ISIGN(2,K(IEP(I),2))
+ IF(KSH(KFL(I)).EQ.1) PM=PMTH(2,IFLI)
+ ENDIF
+ PM2=PM2+PM
+ 400 CONTINUE
+ PMS=MIN(PMS,(P(IM,5)-PM2)**2)
+ ENDIF
+
+C...Select mass for daughter in QCD evolution.
+ B0=27./6.
+ DO 410 IFF=4,MSTJ(45)
+ IF(PMS.GT.4.*PMTH(2,IFF)**2) B0=(33.-2.*IFF)/6.
+ 410 CONTINUE
+ IF(FBR.LT.1E-3) THEN
+ PMSQCD=0.
+ ELSEIF(MSTJ(44).LE.0) THEN
+ PMSQCD=PMS*EXP(MAX(-50.,LOG(RLY(0))*PARU(2)/(PARU(111)*FBR)))
+ ELSEIF(MSTJ(44).EQ.1) THEN
+ PMSQCD=4.*ALAMS*(0.25*PMS/ALAMS)**(RLY(0)**(B0/FBR))
+ ELSE
+ PMSQCD=PMS*EXP(MAX(-50.,ALFM*B0*LOG(RLY(0))/FBR))
+ ENDIF
+ IF(ZC.GT.0.49.OR.PMSQCD.LE.PMTH(4,IFL)**2) PMSQCD=PMTH(2,IFL)**2
+ V(IEP(1),5)=PMSQCD
+ MCE=1
+
+C...Select mass for daughter in QED evolution.
+ IF(MSTJ(41).GE.2.AND.KFL(1).GE.1.AND.KFL(1).LE.18) THEN
+ PMSQED=PMS*EXP(MAX(-50.,LOG(RLY(0))*PARU(2)/(PARU(101)*FBRE)))
+ IF(ZCE.GT.0.49.OR.PMSQED.LE.PMTH(5,IFL)**2) PMSQED=
+ & PMTH(2,IFL)**2
+ IF(PMSQED.GT.PMSQCD) THEN
+ V(IEP(1),5)=PMSQED
+ MCE=2
+ ENDIF
+ ENDIF
+
+C...Check whether daughter mass below cutoff.
+ P(IEP(1),5)=SQRT(V(IEP(1),5))
+ IF(P(IEP(1),5).LE.PMTH(3,IFL)) THEN
+ P(IEP(1),5)=PMTH(1,IFL)
+ V(IEP(1),5)=P(IEP(1),5)**2
+ GOTO 430
+ ENDIF
+
+C...Select z value of branching: q -> qgamma.
+ IF(MCE.EQ.2) THEN
+ Z=1.-(1.-ZCE)*(ZCE/(1.-ZCE))**RLY(0)
+ IF(1.+Z**2.LT.2.*RLY(0)) GOTO 390
+ K(IEP(1),5)=22
+
+C...Select z value of branching: q -> qg, g -> gg, g -> qqbar.
+ ELSEIF(MSTJ(49).NE.1.AND.KFL(1).NE.21) THEN
+ Z=1.-(1.-ZC)*(ZC/(1.-ZC))**RLY(0)
+ IF(1.+Z**2.LT.2.*RLY(0)) GOTO 390
+ K(IEP(1),5)=21
+ ELSEIF(MSTJ(49).EQ.0.AND.MSTJ(45)*(0.5-ZC).LT.RLY(0)*FBR) THEN
+ Z=(1.-ZC)*(ZC/(1.-ZC))**RLY(0)
+ IF(RLY(0).GT.0.5) Z=1.-Z
+ IF((1.-Z*(1.-Z))**2.LT.RLY(0)) GOTO 390
+ K(IEP(1),5)=21
+ ELSEIF(MSTJ(49).NE.1) THEN
+ Z=ZC+(1.-2.*ZC)*RLY(0)
+ IF(Z**2+(1.-Z)**2.LT.RLY(0)) GOTO 390
+ KFLB=1+INT(MSTJ(45)*RLY(0))
+ PMQ=4.*PMTH(2,KFLB)**2/V(IEP(1),5)
+ IF(PMQ.GE.1.) GOTO 390
+ PMQ0=4.*PMTH(2,21)**2/V(IEP(1),5)
+ IF(MOD(MSTJ(43),2).EQ.0.AND.(1.+0.5*PMQ)*SQRT(1.-PMQ).LT.
+ & RLY(0)*(1.+0.5*PMQ0)*SQRT(1.-PMQ0)) GOTO 390
+ K(IEP(1),5)=KFLB
+
+C...Ditto for scalar gluon model.
+ ELSEIF(KFL(1).NE.21) THEN
+ Z=1.-SQRT(ZC**2+RLY(0)*(1.-2.*ZC))
+ K(IEP(1),5)=21
+ ELSEIF(RLY(0)*(PARJ(87)+MSTJ(45)*PARJ(88)).LE.PARJ(87)) THEN
+ Z=ZC+(1.-2.*ZC)*RLY(0)
+ K(IEP(1),5)=21
+ ELSE
+ Z=ZC+(1.-2.*ZC)*RLY(0)
+ KFLB=1+INT(MSTJ(45)*RLY(0))
+ PMQ=4.*PMTH(2,KFLB)**2/V(IEP(1),5)
+ IF(PMQ.GE.1.) GOTO 390
+ K(IEP(1),5)=KFLB
+ ENDIF
+ IF(MCE.EQ.1.AND.MSTJ(44).GE.2) THEN
+ IF(Z*(1.-Z)*V(IEP(1),5).LT.PT2MIN) GOTO 390
+ IF(ALFM/LOG(V(IEP(1),5)*Z*(1.-Z)/ALAMS).LT.RLY(0)) GOTO 390
+ ENDIF
+
+C...Check if z consistent with chosen m.
+ IF(KFL(1).EQ.21) THEN
+ KFLGD1=IABS(K(IEP(1),5))
+ KFLGD2=KFLGD1
+ ELSE
+ KFLGD1=KFL(1)
+ KFLGD2=IABS(K(IEP(1),5))
+ ENDIF
+ IF(NEP.EQ.1) THEN
+ PED=PS(4)
+ ELSEIF(NEP.GE.3) THEN
+ PED=P(IEP(1),4)
+ ELSEIF(IGM.EQ.0.OR.MSTJ(43).LE.2) THEN
+ PED=0.5*(V(IM,5)+V(IEP(1),5)-PM2**2)/P(IM,5)
+ ELSE
+ IF(IEP(1).EQ.N+1) PED=V(IM,1)*PEM
+ IF(IEP(1).EQ.N+2) PED=(1.-V(IM,1))*PEM
+ ENDIF
+ IF(MOD(MSTJ(43),2).EQ.1) THEN
+ IFLGD1=KFLGD1
+ IF(KFLGD1.GE.6.AND.KFLGD1.LE.8) IFLGD1=IFL
+ PMQTH3=0.5*PARJ(82)
+ IF(KFLGD2.EQ.22) PMQTH3=0.5*PARJ(83)
+ PMQ1=(PMTH(1,IFLGD1)**2+PMQTH3**2)/V(IEP(1),5)
+ PMQ2=(PMTH(1,KFLGD2)**2+PMQTH3**2)/V(IEP(1),5)
+ ZD=SQRT(MAX(0.,(1.-V(IEP(1),5)/PED**2)*((1.-PMQ1-PMQ2)**2-
+ & 4.*PMQ1*PMQ2)))
+ ZH=1.+PMQ1-PMQ2
+ ELSE
+ ZD=SQRT(MAX(0.,1.-V(IEP(1),5)/PED**2))
+ ZH=1.
+ ENDIF
+ ZL=0.5*(ZH-ZD)
+ ZU=0.5*(ZH+ZD)
+ IF(Z.LT.ZL.OR.Z.GT.ZU) GOTO 390
+ IF(KFL(1).EQ.21) V(IEP(1),3)=LOG(ZU*(1.-ZL)/MAX(1E-20,ZL*
+ &(1.-ZU)))
+ IF(KFL(1).NE.21) V(IEP(1),3)=LOG((1.-ZL)/MAX(1E-10,1.-ZU))
+
+C...Width suppression for q -> q + g.
+ IF(MSTJ(40).NE.0.AND.KFL(1).NE.21) THEN
+ IF(IGM.EQ.0) THEN
+ EGLU=0.5*PS(5)*(1.-Z)*(1.+V(IEP(1),5)/V(NS+1,5))
+ ELSE
+ EGLU=PMED*(1.-Z)
+ ENDIF
+ CHI=PARJ(89)**2/(PARJ(89)**2+EGLU**2)
+ IF(MSTJ(40).EQ.1) THEN
+ IF(CHI.LT.RLY(0)) GOTO 390
+ ELSEIF(MSTJ(40).EQ.2) THEN
+ IF(1.-CHI.LT.RLY(0)) GOTO 390
+ ENDIF
+ ENDIF
+
+C...Three-jet matrix element correction.
+ IF(IGM.EQ.0.AND.M3JC.EQ.1) THEN
+ X1=Z*(1.+V(IEP(1),5)/V(NS+1,5))
+ X2=1.-V(IEP(1),5)/V(NS+1,5)
+ X3=(1.-X1)+(1.-X2)
+ IF(MCE.EQ.2) THEN
+ KI1=K(IPA(INUM),2)
+ KI2=K(IPA(3-INUM),2)
+ QF1=KCHG(IABS(KI1),1)*ISIGN(1,KI1)/3.
+ QF2=KCHG(IABS(KI2),1)*ISIGN(1,KI2)/3.
+ WSHOW=QF1**2*(1.-X1)/X3*(1.+(X1/(2.-X2))**2)+
+ & QF2**2*(1.-X2)/X3*(1.+(X2/(2.-X1))**2)
+ WME=(QF1*(1.-X1)/X3-QF2*(1.-X2)/X3)**2*(X1**2+X2**2)
+ ELSEIF(MSTJ(49).NE.1) THEN
+ WSHOW=1.+(1.-X1)/X3*(X1/(2.-X2))**2+
+ & (1.-X2)/X3*(X2/(2.-X1))**2
+ WME=X1**2+X2**2
+ IF(M3JCM.EQ.1) WME=WME-QME*X3-0.5*QME**2-
+ & (0.5*QME+0.25*QME**2)*((1.-X2)/MAX(1E-7,1.-X1)+
+ & (1.-X1)/MAX(1E-7,1.-X2))
+ ELSE
+ WSHOW=4.*X3*((1.-X1)/(2.-X2)**2+(1.-X2)/(2.-X1)**2)
+ WME=X3**2
+ IF(MSTJ(102).GE.2) WME=X3**2-2.*(1.+X3)*(1.-X1)*(1.-X2)*
+ & PARJ(171)
+ ENDIF
+ IF(WME.LT.RLY(0)*WSHOW) GOTO 390
+
+C...Impose angular ordering by rejection of nonordered emission.
+ ELSEIF(MCE.EQ.1.AND.IGM.GT.0.AND.MSTJ(42).GE.2) THEN
+ MAOM=1
+ ZM=V(IM,1)
+ IF(IEP(1).EQ.N+2) ZM=1.-V(IM,1)
+ THE2ID=Z*(1.-Z)*(ZM*P(IM,4))**2/V(IEP(1),5)
+ IAOM=IM
+ 420 IF(K(IAOM,5).EQ.22) THEN
+ IAOM=K(IAOM,3)
+ IF(K(IAOM,3).LE.NS) MAOM=0
+ IF(MAOM.EQ.1) GOTO 420
+ ENDIF
+ IF(MAOM.EQ.1) THEN
+ THE2IM=V(IAOM,1)*(1.-V(IAOM,1))*P(IAOM,4)**2/V(IAOM,5)
+ IF(THE2ID.LT.THE2IM) GOTO 390
+ ENDIF
+ ENDIF
+
+C...Impose user-defined maximum angle at first branching.
+ IF(MSTJ(48).EQ.1) THEN
+ IF(NEP.EQ.1.AND.IM.EQ.NS) THEN
+ THE2ID=Z*(1.-Z)*PS(4)**2/V(IEP(1),5)
+ IF(THE2ID.LT.1./PARJ(85)**2) GOTO 390
+ ELSEIF(NEP.EQ.2.AND.IEP(1).EQ.NS+2) THEN
+ THE2ID=Z*(1.-Z)*(0.5*P(IM,4))**2/V(IEP(1),5)
+ IF(THE2ID.LT.1./PARJ(85)**2) GOTO 390
+ ELSEIF(NEP.EQ.2.AND.IEP(1).EQ.NS+3) THEN
+ THE2ID=Z*(1.-Z)*(0.5*P(IM,4))**2/V(IEP(1),5)
+ IF(THE2ID.LT.1./PARJ(86)**2) GOTO 390
+ ENDIF
+ ENDIF
+
+C...Impose angular constraint in first branching from interference
+C...with initial state partons.
+ IF(MIIS.GE.2.AND.IEP(1).LE.NS+3) THEN
+ THE2D=MAX((1.-Z)/Z,Z/(1.-Z))*V(IEP(1),5)/(0.5*P(IM,4))**2
+ IF(IEP(1).EQ.NS+2.AND.ISII(1).GE.1) THEN
+ IF(THE2D.GT.THEIIS(1,ISII(1))**2) GOTO 390
+ ELSEIF(IEP(1).EQ.NS+3.AND.ISII(2).GE.1) THEN
+ IF(THE2D.GT.THEIIS(2,ISII(2))**2) GOTO 390
+ ENDIF
+ ENDIF
+
+C...End of inner veto algorithm. Check if only one leg evolved so far.
+ 430 V(IEP(1),1)=Z
+ ISL(1)=0
+ ISL(2)=0
+ IF(NEP.EQ.1) GOTO 460
+ IF(NEP.EQ.2.AND.P(IEP(1),5)+P(IEP(2),5).GE.P(IM,5)) GOTO 330
+ DO 440 I=1,NEP
+ IF(ITRY(I).EQ.0.AND.KFLD(I).LE.40) THEN
+ IF(KSH(KFLD(I)).EQ.1) THEN
+ IFLD=KFLD(I)
+ IF(KFLD(I).GE.6.AND.KFLD(I).LE.8) IFLD=37+KFLD(I)+
+ & ISIGN(2,K(N+I,2))
+ IF(P(N+I,5).GE.PMTH(2,IFLD)) GOTO 330
+ ENDIF
+ ENDIF
+ 440 CONTINUE
+
+C...Check if chosen multiplet m1,m2,z1,z2 is physical.
+ IF(NEP.EQ.3) THEN
+ PA1S=(P(N+1,4)+P(N+1,5))*(P(N+1,4)-P(N+1,5))
+ PA2S=(P(N+2,4)+P(N+2,5))*(P(N+2,4)-P(N+2,5))
+ PA3S=(P(N+3,4)+P(N+3,5))*(P(N+3,4)-P(N+3,5))
+ PTS=0.25*(2.*PA1S*PA2S+2.*PA1S*PA3S+2.*PA2S*PA3S-
+ & PA1S**2-PA2S**2-PA3S**2)/PA1S
+ IF(PTS.LE.0.) GOTO 330
+ ELSEIF(IGM.EQ.0.OR.MSTJ(43).LE.2.OR.MOD(MSTJ(43),2).EQ.0) THEN
+ DO 450 I1=N+1,N+2
+ KFLDA=IABS(K(I1,2))
+ IF(KFLDA.GT.40) GOTO 450
+ IF(KSH(KFLDA).EQ.0) GOTO 450
+ IFLDA=KFLDA
+ IF(KFLDA.GE.6.AND.KFLDA.LE.8) IFLDA=37+KFLDA+
+ & ISIGN(2,K(I1,2))
+ IF(P(I1,5).LT.PMTH(2,IFLDA)) GOTO 450
+ IF(KFLDA.EQ.21) THEN
+ KFLGD1=IABS(K(I1,5))
+ KFLGD2=KFLGD1
+ ELSE
+ KFLGD1=KFLDA
+ KFLGD2=IABS(K(I1,5))
+ ENDIF
+ I2=2*N+3-I1
+ IF(IGM.EQ.0.OR.MSTJ(43).LE.2) THEN
+ PED=0.5*(V(IM,5)+V(I1,5)-V(I2,5))/P(IM,5)
+ ELSE
+ IF(I1.EQ.N+1) ZM=V(IM,1)
+ IF(I1.EQ.N+2) ZM=1.-V(IM,1)
+ PML=SQRT((V(IM,5)-V(N+1,5)-V(N+2,5))**2-
+ & 4.*V(N+1,5)*V(N+2,5))
+ PED=PEM*(0.5*(V(IM,5)-PML+V(I1,5)-V(I2,5))+PML*ZM)/V(IM,5)
+ ENDIF
+ IF(MOD(MSTJ(43),2).EQ.1) THEN
+ PMQTH3=0.5*PARJ(82)
+ IF(KFLGD2.EQ.22) PMQTH3=0.5*PARJ(83)
+ IFLGD1=KFLGD1
+ IF(KFLGD1.GE.6.AND.KFLGD1.LE.8) IFLGD1=IFLDA
+ PMQ1=(PMTH(1,IFLGD1)**2+PMQTH3**2)/V(I1,5)
+ PMQ2=(PMTH(1,KFLGD2)**2+PMQTH3**2)/V(I1,5)
+ ZD=SQRT(MAX(0.,(1.-V(I1,5)/PED**2)*((1.-PMQ1-PMQ2)**2-
+ & 4.*PMQ1*PMQ2)))
+ ZH=1.+PMQ1-PMQ2
+ ELSE
+ ZD=SQRT(MAX(0.,1.-V(I1,5)/PED**2))
+ ZH=1.
+ ENDIF
+ ZL=0.5*(ZH-ZD)
+ ZU=0.5*(ZH+ZD)
+ IF(I1.EQ.N+1.AND.(V(I1,1).LT.ZL.OR.V(I1,1).GT.ZU)) ISL(1)=1
+ IF(I1.EQ.N+2.AND.(V(I1,1).LT.ZL.OR.V(I1,1).GT.ZU)) ISL(2)=1
+ IF(KFLDA.EQ.21) V(I1,4)=LOG(ZU*(1.-ZL)/MAX(1E-20,ZL*(1.-ZU)))
+ IF(KFLDA.NE.21) V(I1,4)=LOG((1.-ZL)/MAX(1E-10,1.-ZU))
+ 450 CONTINUE
+ IF(ISL(1).EQ.1.AND.ISL(2).EQ.1.AND.ISLM.NE.0) THEN
+ ISL(3-ISLM)=0
+ ISLM=3-ISLM
+ ELSEIF(ISL(1).EQ.1.AND.ISL(2).EQ.1) THEN
+ ZDR1=MAX(0.,V(N+1,3)/MAX(1E-6,V(N+1,4))-1.)
+ ZDR2=MAX(0.,V(N+2,3)/MAX(1E-6,V(N+2,4))-1.)
+ IF(ZDR2.GT.RLY(0)*(ZDR1+ZDR2)) ISL(1)=0
+ IF(ISL(1).EQ.1) ISL(2)=0
+ IF(ISL(1).EQ.0) ISLM=1
+ IF(ISL(2).EQ.0) ISLM=2
+ ENDIF
+ IF(ISL(1).EQ.1.OR.ISL(2).EQ.1) GOTO 330
+ ENDIF
+ IFLD1=KFLD(1)
+ IF(KFLD(1).GE.6.AND.KFLD(1).LE.8) IFLD1=37+KFLD(1)+
+ &ISIGN(2,K(N+1,2))
+ IFLD2=KFLD(2)
+ IF(KFLD(2).GE.6.AND.KFLD(2).LE.8) IFLD2=37+KFLD(2)+
+ &ISIGN(2,K(N+2,2))
+ IF(IGM.GT.0.AND.MOD(MSTJ(43),2).EQ.1.AND.(P(N+1,5).GE.
+ &PMTH(2,IFLD1).OR.P(N+2,5).GE.PMTH(2,IFLD2))) THEN
+ PMQ1=V(N+1,5)/V(IM,5)
+ PMQ2=V(N+2,5)/V(IM,5)
+ ZD=SQRT(MAX(0.,(1.-V(IM,5)/PEM**2)*((1.-PMQ1-PMQ2)**2-
+ & 4.*PMQ1*PMQ2)))
+ ZH=1.+PMQ1-PMQ2
+ ZL=0.5*(ZH-ZD)
+ ZU=0.5*(ZH+ZD)
+ IF(V(IM,1).LT.ZL.OR.V(IM,1).GT.ZU) GOTO 330
+ ENDIF
+
+C...Accepted branch. Construct four-momentum for initial partons.
+ 460 MAZIP=0
+ MAZIC=0
+ IF(NEP.EQ.1) THEN
+ P(N+1,1)=0.
+ P(N+1,2)=0.
+ P(N+1,3)=SQRT(MAX(0.,(P(IPA(1),4)+P(N+1,5))*(P(IPA(1),4)-
+ & P(N+1,5))))
+ P(N+1,4)=P(IPA(1),4)
+ V(N+1,2)=P(N+1,4)
+ ELSEIF(IGM.EQ.0.AND.NEP.EQ.2) THEN
+ PED1=0.5*(V(IM,5)+V(N+1,5)-V(N+2,5))/P(IM,5)
+ P(N+1,1)=0.
+ P(N+1,2)=0.
+ P(N+1,3)=SQRT(MAX(0.,(PED1+P(N+1,5))*(PED1-P(N+1,5))))
+ P(N+1,4)=PED1
+ P(N+2,1)=0.
+ P(N+2,2)=0.
+ P(N+2,3)=-P(N+1,3)
+ P(N+2,4)=P(IM,5)-PED1
+ V(N+1,2)=P(N+1,4)
+ V(N+2,2)=P(N+2,4)
+ ELSEIF(NEP.EQ.3) THEN
+ P(N+1,1)=0.
+ P(N+1,2)=0.
+ P(N+1,3)=SQRT(MAX(0.,PA1S))
+ P(N+2,1)=SQRT(PTS)
+ P(N+2,2)=0.
+ P(N+2,3)=0.5*(PA3S-PA2S-PA1S)/P(N+1,3)
+ P(N+3,1)=-P(N+2,1)
+ P(N+3,2)=0.
+ P(N+3,3)=-(P(N+1,3)+P(N+2,3))
+ V(N+1,2)=P(N+1,4)
+ V(N+2,2)=P(N+2,4)
+ V(N+3,2)=P(N+3,4)
+
+C...Construct transverse momentum for ordinary branching in shower.
+ ELSE
+ ZM=V(IM,1)
+ PZM=SQRT(MAX(0.,(PEM+P(IM,5))*(PEM-P(IM,5))))
+ PMLS=(V(IM,5)-V(N+1,5)-V(N+2,5))**2-4.*V(N+1,5)*V(N+2,5)
+ IF(PZM.LE.0.) THEN
+ PTS=0.
+ ELSEIF(MOD(MSTJ(43),2).EQ.1) THEN
+ PTS=(PEM**2*(ZM*(1.-ZM)*V(IM,5)-(1.-ZM)*V(N+1,5)-
+ & ZM*V(N+2,5))-0.25*PMLS)/PZM**2
+ ELSE
+ PTS=PMLS*(ZM*(1.-ZM)*PEM**2/V(IM,5)-0.25)/PZM**2
+ ENDIF
+ PT=SQRT(MAX(0.,PTS))
+
+C...Find coefficient of azimuthal asymmetry due to gluon polarization.
+ HAZIP=0.
+ IF(MSTJ(49).NE.1.AND.MOD(MSTJ(46),2).EQ.1.AND.K(IM,2).EQ.21.
+ & AND.IAU.NE.0) THEN
+ IF(K(IGM,3).NE.0) MAZIP=1
+ ZAU=V(IGM,1)
+ IF(IAU.EQ.IM+1) ZAU=1.-V(IGM,1)
+ IF(MAZIP.EQ.0) ZAU=0.
+ IF(K(IGM,2).NE.21) THEN
+ HAZIP=2.*ZAU/(1.+ZAU**2)
+ ELSE
+ HAZIP=(ZAU/(1.-ZAU*(1.-ZAU)))**2
+ ENDIF
+ IF(K(N+1,2).NE.21) THEN
+ HAZIP=HAZIP*(-2.*ZM*(1.-ZM))/(1.-2.*ZM*(1.-ZM))
+ ELSE
+ HAZIP=HAZIP*(ZM*(1.-ZM)/(1.-ZM*(1.-ZM)))**2
+ ENDIF
+ ENDIF
+
+C...Find coefficient of azimuthal asymmetry due to soft gluon
+C...interference.
+ HAZIC=0.
+ IF(MSTJ(49).NE.2.AND.MSTJ(46).GE.2.AND.(K(N+1,2).EQ.21.OR.
+ & K(N+2,2).EQ.21).AND.IAU.NE.0) THEN
+ IF(K(IGM,3).NE.0) MAZIC=N+1
+ IF(K(IGM,3).NE.0.AND.K(N+1,2).NE.21) MAZIC=N+2
+ IF(K(IGM,3).NE.0.AND.K(N+1,2).EQ.21.AND.K(N+2,2).EQ.21.AND.
+ & ZM.GT.0.5) MAZIC=N+2
+ IF(K(IAU,2).EQ.22) MAZIC=0
+ ZS=ZM
+ IF(MAZIC.EQ.N+2) ZS=1.-ZM
+ ZGM=V(IGM,1)
+ IF(IAU.EQ.IM-1) ZGM=1.-V(IGM,1)
+ IF(MAZIC.EQ.0) ZGM=1.
+ IF(MAZIC.NE.0) HAZIC=(P(IM,5)/P(IGM,5))*
+ & SQRT((1.-ZS)*(1.-ZGM)/(ZS*ZGM))
+ HAZIC=MIN(0.95,HAZIC)
+ ENDIF
+ ENDIF
+
+C...Construct kinematics for ordinary branching in shower.
+ 470 IF(NEP.EQ.2.AND.IGM.GT.0) THEN
+ IF(MOD(MSTJ(43),2).EQ.1) THEN
+ P(N+1,4)=PEM*V(IM,1)
+ ELSE
+ P(N+1,4)=PEM*(0.5*(V(IM,5)-SQRT(PMLS)+V(N+1,5)-V(N+2,5))+
+ & SQRT(PMLS)*ZM)/V(IM,5)
+ ENDIF
+ PHI=PARU(2)*RLY(0)
+ P(N+1,1)=PT*COS(PHI)
+ P(N+1,2)=PT*SIN(PHI)
+ IF(PZM.GT.0.) THEN
+ P(N+1,3)=0.5*(V(N+2,5)-V(N+1,5)-V(IM,5)+2.*PEM*P(N+1,4))/PZM
+ ELSE
+ P(N+1,3)=0.
+ ENDIF
+ P(N+2,1)=-P(N+1,1)
+ P(N+2,2)=-P(N+1,2)
+ P(N+2,3)=PZM-P(N+1,3)
+ P(N+2,4)=PEM-P(N+1,4)
+ IF(MSTJ(43).LE.2) THEN
+ V(N+1,2)=(PEM*P(N+1,4)-PZM*P(N+1,3))/P(IM,5)
+ V(N+2,2)=(PEM*P(N+2,4)-PZM*P(N+2,3))/P(IM,5)
+ ENDIF
+ ENDIF
+
+C...Rotate and boost daughters.
+ IF(IGM.GT.0) THEN
+ IF(MSTJ(43).LE.2) THEN
+ BEX=P(IGM,1)/P(IGM,4)
+ BEY=P(IGM,2)/P(IGM,4)
+ BEZ=P(IGM,3)/P(IGM,4)
+ GA=P(IGM,4)/P(IGM,5)
+ GABEP=GA*(GA*(BEX*P(IM,1)+BEY*P(IM,2)+BEZ*P(IM,3))/(1.+GA)-
+ & P(IM,4))
+ ELSE
+ BEX=0.
+ BEY=0.
+ BEZ=0.
+ GA=1.
+ GABEP=0.
+ ENDIF
+ THE=UYANGL(P(IM,3)+GABEP*BEZ,SQRT((P(IM,1)+GABEP*BEX)**2+
+ & (P(IM,2)+GABEP*BEY)**2))
+ PHI=UYANGL(P(IM,1)+GABEP*BEX,P(IM,2)+GABEP*BEY)
+ DO 480 I=N+1,N+2
+ DP(1)=COS(THE)*COS(PHI)*P(I,1)-SIN(PHI)*P(I,2)+
+ & SIN(THE)*COS(PHI)*P(I,3)
+ DP(2)=COS(THE)*SIN(PHI)*P(I,1)+COS(PHI)*P(I,2)+
+ & SIN(THE)*SIN(PHI)*P(I,3)
+ DP(3)=-SIN(THE)*P(I,1)+COS(THE)*P(I,3)
+ DP(4)=P(I,4)
+ DBP=BEX*DP(1)+BEY*DP(2)+BEZ*DP(3)
+ DGABP=GA*(GA*DBP/(1D0+GA)+DP(4))
+ P(I,1)=DP(1)+DGABP*BEX
+ P(I,2)=DP(2)+DGABP*BEY
+ P(I,3)=DP(3)+DGABP*BEZ
+ P(I,4)=GA*(DP(4)+DBP)
+ 480 CONTINUE
+ ENDIF
+
+C...Weight with azimuthal distribution, if required.
+ IF(MAZIP.NE.0.OR.MAZIC.NE.0) THEN
+ DO 490 J=1,3
+ DPT(1,J)=P(IM,J)
+ DPT(2,J)=P(IAU,J)
+ DPT(3,J)=P(N+1,J)
+ 490 CONTINUE
+ DPMA=DPT(1,1)*DPT(2,1)+DPT(1,2)*DPT(2,2)+DPT(1,3)*DPT(2,3)
+ DPMD=DPT(1,1)*DPT(3,1)+DPT(1,2)*DPT(3,2)+DPT(1,3)*DPT(3,3)
+ DPMM=DPT(1,1)**2+DPT(1,2)**2+DPT(1,3)**2
+ DO 500 J=1,3
+ DPT(4,J)=DPT(2,J)-DPMA*DPT(1,J)/DPMM
+ DPT(5,J)=DPT(3,J)-DPMD*DPT(1,J)/DPMM
+ 500 CONTINUE
+ DPT(4,4)=SQRT(DPT(4,1)**2+DPT(4,2)**2+DPT(4,3)**2)
+ DPT(5,4)=SQRT(DPT(5,1)**2+DPT(5,2)**2+DPT(5,3)**2)
+ IF(MIN(DPT(4,4),DPT(5,4)).GT.0.1*PARJ(82)) THEN
+ CAD=(DPT(4,1)*DPT(5,1)+DPT(4,2)*DPT(5,2)+
+ & DPT(4,3)*DPT(5,3))/(DPT(4,4)*DPT(5,4))
+ IF(MAZIP.NE.0) THEN
+ IF(1.+HAZIP*(2.*CAD**2-1.).LT.RLY(0)*(1.+ABS(HAZIP)))
+ & GOTO 470
+ ENDIF
+ IF(MAZIC.NE.0) THEN
+ IF(MAZIC.EQ.N+2) CAD=-CAD
+ IF((1.-HAZIC)*(1.-HAZIC*CAD)/(1.+HAZIC**2-2.*HAZIC*CAD)
+ & .LT.RLY(0)) GOTO 470
+ ENDIF
+ ENDIF
+ ENDIF
+
+C...Azimuthal anisotropy due to interference with initial state partons.
+ IF(MOD(MIIS,2).EQ.1.AND.IGM.EQ.NS+1.AND.(K(N+1,2).EQ.21.OR.
+ &K(N+2,2).EQ.21)) THEN
+ III=IM-NS-1
+ IF(ISII(III).GE.1) THEN
+ IAZIID=N+1
+ IF(K(N+1,2).NE.21) IAZIID=N+2
+ IF(K(N+1,2).EQ.21.AND.K(N+2,2).EQ.21.AND.
+ & P(N+1,4).GT.P(N+2,4)) IAZIID=N+2
+ THEIID=UYANGL(P(IAZIID,3),SQRT(P(IAZIID,1)**2+P(IAZIID,2)**2))
+ IF(III.EQ.2) THEIID=PARU(1)-THEIID
+ PHIIID=UYANGL(P(IAZIID,1),P(IAZIID,2))
+ HAZII=MIN(0.95,THEIID/THEIIS(III,ISII(III)))
+ CAD=COS(PHIIID-PHIIIS(III,ISII(III)))
+ PHIREL=ABS(PHIIID-PHIIIS(III,ISII(III)))
+ IF(PHIREL.GT.PARU(1)) PHIREL=PARU(2)-PHIREL
+ IF((1.-HAZII)*(1.-HAZII*CAD)/(1.+HAZII**2-2.*HAZII*CAD)
+ & .LT.RLY(0)) GOTO 470
+ ENDIF
+ ENDIF
+
+C...Continue loop over partons that may branch, until none left.
+ IF(IGM.GE.0) K(IM,1)=14
+ N=N+NEP
+ NEP=2
+ IF(N.GT.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYSHOW:) no more memory left in LUJETS')
+ IF(MSTU(21).GE.1) N=NS
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ GOTO 270
+
+C...Set information on imagined shower initiator.
+ 510 IF(NPA.GE.2) THEN
+ K(NS+1,1)=11
+ K(NS+1,2)=94
+ K(NS+1,3)=IP1
+ IF(IP2.GT.0.AND.IP2.LT.IP1) K(NS+1,3)=IP2
+ K(NS+1,4)=NS+2
+ K(NS+1,5)=NS+1+NPA
+ IIM=1
+ ELSE
+ IIM=0
+ ENDIF
+
+C...Reconstruct string drawing information.
+ DO 520 I=NS+1+IIM,N
+ IF(K(I,1).LE.10.AND.K(I,2).EQ.22) THEN
+ K(I,1)=1
+ ELSEIF(K(I,1).LE.10.AND.IABS(K(I,2)).GE.11.AND.
+ &IABS(K(I,2)).LE.18) THEN
+ K(I,1)=1
+ ELSEIF(K(I,1).LE.10) THEN
+ K(I,4)=MSTU(5)*(K(I,4)/MSTU(5))
+ K(I,5)=MSTU(5)*(K(I,5)/MSTU(5))
+ ELSEIF(K(MOD(K(I,4),MSTU(5))+1,2).NE.22) THEN
+ ID1=MOD(K(I,4),MSTU(5))
+ IF(K(I,2).GE.1.AND.K(I,2).LE.8) ID1=MOD(K(I,4),MSTU(5))+1
+ ID2=2*MOD(K(I,4),MSTU(5))+1-ID1
+ K(I,4)=MSTU(5)*(K(I,4)/MSTU(5))+ID1
+ K(I,5)=MSTU(5)*(K(I,5)/MSTU(5))+ID2
+ K(ID1,4)=K(ID1,4)+MSTU(5)*I
+ K(ID1,5)=K(ID1,5)+MSTU(5)*ID2
+ K(ID2,4)=K(ID2,4)+MSTU(5)*ID1
+ K(ID2,5)=K(ID2,5)+MSTU(5)*I
+ ELSE
+ ID1=MOD(K(I,4),MSTU(5))
+ ID2=ID1+1
+ K(I,4)=MSTU(5)*(K(I,4)/MSTU(5))+ID1
+ K(I,5)=MSTU(5)*(K(I,5)/MSTU(5))+ID1
+ IF(IABS(K(I,2)).LE.10.OR.K(ID1,1).GE.11) THEN
+ K(ID1,4)=K(ID1,4)+MSTU(5)*I
+ K(ID1,5)=K(ID1,5)+MSTU(5)*I
+ ELSE
+ K(ID1,4)=0
+ K(ID1,5)=0
+ ENDIF
+ K(ID2,4)=0
+ K(ID2,5)=0
+ ENDIF
+ 520 CONTINUE
+
+C...Transformation from CM frame.
+ IF(NPA.GE.2) THEN
+ BEX=PS(1)/PS(4)
+ BEY=PS(2)/PS(4)
+ BEZ=PS(3)/PS(4)
+ GA=PS(4)/PS(5)
+ GABEP=GA*(GA*(BEX*P(IPA(1),1)+BEY*P(IPA(1),2)+BEZ*P(IPA(1),3))
+ & /(1.+GA)-P(IPA(1),4))
+ ELSE
+ BEX=0.
+ BEY=0.
+ BEZ=0.
+ GABEP=0.
+ ENDIF
+ THE=UYANGL(P(IPA(1),3)+GABEP*BEZ,SQRT((P(IPA(1),1)
+ &+GABEP*BEX)**2+(P(IPA(1),2)+GABEP*BEY)**2))
+ PHI=UYANGL(P(IPA(1),1)+GABEP*BEX,P(IPA(1),2)+GABEP*BEY)
+ IF(NPA.EQ.3) THEN
+ CHI=UYANGL(COS(THE)*COS(PHI)*(P(IPA(2),1)+GABEP*BEX)+COS(THE)*
+ & SIN(PHI)*(P(IPA(2),2)+GABEP*BEY)-SIN(THE)*(P(IPA(2),3)+GABEP*
+ & BEZ),-SIN(PHI)*(P(IPA(2),1)+GABEP*BEX)+COS(PHI)*(P(IPA(2),2)+
+ & GABEP*BEY))
+ MSTU(33)=1
+ CALL LUDBRB(NS+1,N,0.,CHI,0D0,0D0,0D0)
+ ENDIF
+ DBEX=DBLE(BEX)
+ DBEY=DBLE(BEY)
+ DBEZ=DBLE(BEZ)
+ MSTU(33)=1
+ CALL LUDBRB(NS+1,N,THE,PHI,DBEX,DBEY,DBEZ)
+
+C...Decay vertex of shower.
+ DO 540 I=NS+1,N
+ DO 530 J=1,5
+ V(I,J)=V(IP1,J)
+ 530 CONTINUE
+ 540 CONTINUE
+
+C...Delete trivial shower, else connect initiators.
+ IF(N.EQ.NS+NPA+IIM) THEN
+ N=NS
+ ELSE
+ DO 550 IP=1,NPA
+ K(IPA(IP),1)=14
+ K(IPA(IP),4)=K(IPA(IP),4)+NS+IIM+IP
+ K(IPA(IP),5)=K(IPA(IP),5)+NS+IIM+IP
+ K(NS+IIM+IP,3)=IPA(IP)
+ IF(IIM.EQ.1.AND.MSTU(16).NE.2) K(NS+IIM+IP,3)=NS+1
+ IF(K(NS+IIM+IP,1).NE.1) THEN
+ K(NS+IIM+IP,4)=MSTU(5)*IPA(IP)+K(NS+IIM+IP,4)
+ K(NS+IIM+IP,5)=MSTU(5)*IPA(IP)+K(NS+IIM+IP,5)
+ ENDIF
+ 550 CONTINUE
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYBOEI(NSAV)
+
+C...Purpose: to modify event so as to approximately take into account
+C...Bose-Einstein effects according to a simple phenomenological
+C...parametrization.
+ IMPLICIT DOUBLE PRECISION(D)
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYJETS/,/LYDAT1/
+ DIMENSION DPS(4),KFBE(9),NBE(0:9),BEI(100)
+ DATA KFBE/211,-211,111,321,-321,130,310,221,331/
+
+C...Boost event to overall CM frame. Calculate CM energy.
+ IF((MSTJ(51).NE.1.AND.MSTJ(51).NE.2).OR.N-NSAV.LE.1) RETURN
+ DO 100 J=1,4
+ DPS(J)=0.
+ 100 CONTINUE
+ DO 120 I=1,N
+ KFA=IABS(K(I,2))
+ IF(K(I,1).LE.10.AND.((KFA.GT.10.AND.KFA.LE.20).OR.KFA.EQ.22).AND.
+ &K(I,3).GT.0) THEN
+ KFMA=IABS(K(K(I,3),2))
+ IF(KFMA.GT.10.AND.KFMA.LE.80) K(I,1)=-K(I,1)
+ ELSEIF(KFA.EQ.22.AND.K(I,3).EQ.0) THEN
+ K(I,1)=-K(I,1)
+ ENDIF
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 120
+ DO 110 J=1,4
+ DPS(J)=DPS(J)+P(I,J)
+ 110 CONTINUE
+ 120 CONTINUE
+ CALL LUDBRB(0,0,0.,0.,-DPS(1)/DPS(4),-DPS(2)/DPS(4),
+ &-DPS(3)/DPS(4))
+ PECM=0.
+ DO 130 I=1,N
+ IF(K(I,1).GE.1.AND.K(I,1).LE.10) PECM=PECM+P(I,4)
+ 130 CONTINUE
+
+C...Reserve copy of particles by species at end of record.
+ NBE(0)=N+MSTU(3)
+ DO 160 IBE=1,MIN(9,MSTJ(52))
+ NBE(IBE)=NBE(IBE-1)
+ DO 150 I=NSAV+1,N
+ IF(K(I,2).NE.KFBE(IBE)) GOTO 150
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 150
+ IF(NBE(IBE).GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYBOEI:) no more memory left in LUJETS')
+ RETURN
+ ENDIF
+ NBE(IBE)=NBE(IBE)+1
+ K(NBE(IBE),1)=I
+ DO 140 J=1,3
+ P(NBE(IBE),J)=0.
+ 140 CONTINUE
+ 150 CONTINUE
+ 160 CONTINUE
+ IF(NBE(MIN(9,MSTJ(52)))-NBE(0).LE.1) GOTO 280
+
+C...Tabulate integral for subsequent momentum shift.
+ DO 220 IBE=1,MIN(9,MSTJ(52))
+ IF(IBE.NE.1.AND.IBE.NE.4.AND.IBE.LE.7) GOTO 180
+ IF(IBE.EQ.1.AND.MAX(NBE(1)-NBE(0),NBE(2)-NBE(1),NBE(3)-NBE(2))
+ &.LE.1) GOTO 180
+ IF(IBE.EQ.4.AND.MAX(NBE(4)-NBE(3),NBE(5)-NBE(4),NBE(6)-NBE(5),
+ &NBE(7)-NBE(6)).LE.1) GOTO 180
+ IF(IBE.GE.8.AND.NBE(IBE)-NBE(IBE-1).LE.1) GOTO 180
+ IF(IBE.EQ.1) PMHQ=2.*UYMASS(211)
+ IF(IBE.EQ.4) PMHQ=2.*UYMASS(321)
+ IF(IBE.EQ.8) PMHQ=2.*UYMASS(221)
+ IF(IBE.EQ.9) PMHQ=2.*UYMASS(331)
+ QDEL=0.1*MIN(PMHQ,PARJ(93))
+ IF(MSTJ(51).EQ.1) THEN
+ NBIN=MIN(100,NINT(9.*PARJ(93)/QDEL))
+ BEEX=EXP(0.5*QDEL/PARJ(93))
+ BERT=EXP(-QDEL/PARJ(93))
+ ELSE
+ NBIN=MIN(100,NINT(3.*PARJ(93)/QDEL))
+ ENDIF
+ DO 170 IBIN=1,NBIN
+ QBIN=QDEL*(IBIN-0.5)
+ BEI(IBIN)=QDEL*(QBIN**2+QDEL**2/12.)/SQRT(QBIN**2+PMHQ**2)
+ IF(MSTJ(51).EQ.1) THEN
+ BEEX=BEEX*BERT
+ BEI(IBIN)=BEI(IBIN)*BEEX
+ ELSE
+ BEI(IBIN)=BEI(IBIN)*EXP(-(QBIN/PARJ(93))**2)
+ ENDIF
+ IF(IBIN.GE.2) BEI(IBIN)=BEI(IBIN)+BEI(IBIN-1)
+ 170 CONTINUE
+
+C...Loop through particle pairs and find old relative momentum.
+ 180 DO 210 I1M=NBE(IBE-1)+1,NBE(IBE)-1
+ I1=K(I1M,1)
+ DO 200 I2M=I1M+1,NBE(IBE)
+ I2=K(I2M,1)
+ Q2OLD=MAX(0.,(P(I1,4)+P(I2,4))**2-(P(I1,1)+P(I2,1))**2-(P(I1,2)+
+ &P(I2,2))**2-(P(I1,3)+P(I2,3))**2-(P(I1,5)+P(I2,5))**2)
+ QOLD=SQRT(Q2OLD)
+
+C...Calculate new relative momentum.
+ IF(QOLD.LT.1E-3*QDEL) THEN
+ GOTO 200
+ ELSEIF(QOLD.LE.QDEL) THEN
+ QMOV=QOLD/3.
+ ELSEIF(QOLD.LT.(NBIN-0.1)*QDEL) THEN
+ RBIN=QOLD/QDEL
+ IBIN=RBIN
+ RINP=(RBIN**3-IBIN**3)/(3*IBIN*(IBIN+1)+1)
+ QMOV=(BEI(IBIN)+RINP*(BEI(IBIN+1)-BEI(IBIN)))*
+ & SQRT(Q2OLD+PMHQ**2)/Q2OLD
+ ELSE
+ QMOV=BEI(NBIN)*SQRT(Q2OLD+PMHQ**2)/Q2OLD
+ ENDIF
+ Q2NEW=Q2OLD*(QOLD/(QOLD+3.*PARJ(92)*QMOV))**(2./3.)
+
+C...Calculate and save shift to be performed on three-momenta.
+ HC1=(P(I1,4)+P(I2,4))**2-(Q2OLD-Q2NEW)
+ HC2=(Q2OLD-Q2NEW)*(P(I1,4)-P(I2,4))**2
+ HA=0.5*(1.-SQRT(HC1*Q2NEW/(HC1*Q2OLD-HC2)))
+ DO 190 J=1,3
+ PD=HA*(P(I2,J)-P(I1,J))
+ P(I1M,J)=P(I1M,J)+PD
+ P(I2M,J)=P(I2M,J)-PD
+ 190 CONTINUE
+ 200 CONTINUE
+ 210 CONTINUE
+ 220 CONTINUE
+
+C...Shift momenta and recalculate energies.
+ DO 240 IM=NBE(0)+1,NBE(MIN(9,MSTJ(52)))
+ I=K(IM,1)
+ DO 230 J=1,3
+ P(I,J)=P(I,J)+P(IM,J)
+ 230 CONTINUE
+ P(I,4)=SQRT(P(I,5)**2+P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ 240 CONTINUE
+
+C...Rescale all momenta for energy conservation.
+ PES=0.
+ PQS=0.
+ DO 250 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 250
+ PES=PES+P(I,4)
+ PQS=PQS+P(I,5)**2/P(I,4)
+ 250 CONTINUE
+ FAC=(PECM-PQS)/(PES-PQS)
+ DO 270 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 270
+ DO 260 J=1,3
+ P(I,J)=FAC*P(I,J)
+ 260 CONTINUE
+ P(I,4)=SQRT(P(I,5)**2+P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ 270 CONTINUE
+
+C...Boost back to correct reference frame.
+ 280 CALL LUDBRB(0,0,0.,0.,DPS(1)/DPS(4),DPS(2)/DPS(4),DPS(3)/DPS(4))
+ DO 290 I=1,N
+ IF(K(I,1).LT.0) K(I,1)=-K(I,1)
+ 290 CONTINUE
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ FUNCTION UYMASS(KF)
+
+C...Purpose: to give the mass of a particle/parton.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT1/,/LYDAT2/
+
+C...Reset variables. Compressed code.
+ UYMASS=0.
+ KFA=IABS(KF)
+ KC=LYCOMP(KF)
+ IF(KC.EQ.0) RETURN
+ PARF(106)=PMAS(6,1)
+ PARF(107)=PMAS(7,1)
+ PARF(108)=PMAS(8,1)
+
+C...Guarantee use of constituent masses for internal checks.
+ IF((MSTJ(93).EQ.1.OR.MSTJ(93).EQ.2).AND.KFA.LE.10) THEN
+ UYMASS=PARF(100+KFA)
+ IF(MSTJ(93).EQ.2) UYMASS=MAX(0.,UYMASS-PARF(121))
+
+C...Masses that can be read directly off table.
+ ELSEIF(KFA.LE.100.OR.KC.LE.80.OR.KC.GT.100) THEN
+ UYMASS=PMAS(KC,1)
+
+C...Find constituent partons and their masses.
+ ELSE
+ KFLA=MOD(KFA/1000,10)
+ KFLB=MOD(KFA/100,10)
+ KFLC=MOD(KFA/10,10)
+ KFLS=MOD(KFA,10)
+ KFLR=MOD(KFA/10000,10)
+ PMA=PARF(100+KFLA)
+ PMB=PARF(100+KFLB)
+ PMC=PARF(100+KFLC)
+
+C...Construct masses for various meson, diquark and baryon cases.
+ IF(KFLA.EQ.0.AND.KFLR.EQ.0.AND.KFLS.LE.3) THEN
+ IF(KFLS.EQ.1) PMSPL=-3./(PMB*PMC)
+ IF(KFLS.GE.3) PMSPL=1./(PMB*PMC)
+ UYMASS=PARF(111)+PMB+PMC+PARF(113)*PARF(101)**2*PMSPL
+ ELSEIF(KFLA.EQ.0) THEN
+ KMUL=2
+ IF(KFLS.EQ.1) KMUL=3
+ IF(KFLR.EQ.2) KMUL=4
+ IF(KFLS.EQ.5) KMUL=5
+ UYMASS=PARF(113+KMUL)+PMB+PMC
+ ELSEIF(KFLC.EQ.0) THEN
+ IF(KFLS.EQ.1) PMSPL=-3./(PMA*PMB)
+ IF(KFLS.EQ.3) PMSPL=1./(PMA*PMB)
+ UYMASS=2.*PARF(112)/3.+PMA+PMB+PARF(114)*PARF(101)**2*PMSPL
+ IF(MSTJ(93).EQ.1) UYMASS=PMA+PMB
+ IF(MSTJ(93).EQ.2) UYMASS=MAX(0.,UYMASS-PARF(122)-
+ & 2.*PARF(112)/3.)
+ ELSE
+ IF(KFLS.EQ.2.AND.KFLA.EQ.KFLB) THEN
+ PMSPL=1./(PMA*PMB)-2./(PMA*PMC)-2./(PMB*PMC)
+ ELSEIF(KFLS.EQ.2.AND.KFLB.GE.KFLC) THEN
+ PMSPL=-2./(PMA*PMB)-2./(PMA*PMC)+1./(PMB*PMC)
+ ELSEIF(KFLS.EQ.2) THEN
+ PMSPL=-3./(PMB*PMC)
+ ELSE
+ PMSPL=1./(PMA*PMB)+1./(PMA*PMC)+1./(PMB*PMC)
+ ENDIF
+ UYMASS=PARF(112)+PMA+PMB+PMC+PARF(114)*PARF(101)**2*PMSPL
+ ENDIF
+ ENDIF
+
+C...Optional mass broadening according to truncated Breit-Wigner
+C...(either in m or in m^2).
+ IF(MSTJ(24).GE.1.AND.PMAS(KC,2).GT.1E-4) THEN
+ IF(MSTJ(24).EQ.1.OR.(MSTJ(24).EQ.2.AND.KFA.GT.100)) THEN
+ UYMASS=UYMASS+0.5*PMAS(KC,2)*TAN((2.*RLY(0)-1.)*
+ & ATAN(2.*PMAS(KC,3)/PMAS(KC,2)))
+ ELSE
+ PM0=UYMASS
+ PMLOW=ATAN((MAX(0.,PM0-PMAS(KC,3))**2-PM0**2)/
+ & (PM0*PMAS(KC,2)))
+ PMUPP=ATAN(((PM0+PMAS(KC,3))**2-PM0**2)/(PM0*PMAS(KC,2)))
+ UYMASS=SQRT(MAX(0.,PM0**2+PM0*PMAS(KC,2)*TAN(PMLOW+
+ & (PMUPP-PMLOW)*RLY(0))))
+ ENDIF
+ ENDIF
+ MSTJ(93)=0
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYNAME(KF,CHAU)
+
+C...Purpose: to give the particle/parton name as a character string.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT4/CHAF(500)
+ CHARACTER CHAF*8
+ SAVE /LYDAT1/,/LYDAT2/,/LYDAT4/
+ CHARACTER CHAU*16
+
+C...Initial values. Charge. Subdivide code.
+ CHAU=' '
+ KFA=IABS(KF)
+ KC=LYCOMP(KF)
+ IF(KC.EQ.0) RETURN
+ KQ=LYCHGE(KF)
+ KFLA=MOD(KFA/1000,10)
+ KFLB=MOD(KFA/100,10)
+ KFLC=MOD(KFA/10,10)
+ KFLS=MOD(KFA,10)
+ KFLR=MOD(KFA/10000,10)
+
+C...Read out root name and spin for simple particle.
+ IF(KFA.LE.100.OR.(KFA.GT.100.AND.KC.GT.100)) THEN
+ CHAU=CHAF(KC)
+ LEN=0
+ DO 100 LEM=1,8
+ IF(CHAU(LEM:LEM).NE.' ') LEN=LEM
+ 100 CONTINUE
+
+C...Construct root name for diquark. Add on spin.
+ ELSEIF(KFLC.EQ.0) THEN
+ CHAU(1:2)=CHAF(KFLA)(1:1)//CHAF(KFLB)(1:1)
+ IF(KFLS.EQ.1) CHAU(3:4)='_0'
+ IF(KFLS.EQ.3) CHAU(3:4)='_1'
+ LEN=4
+
+C...Construct root name for heavy meson. Add on spin and heavy flavour.
+ ELSEIF(KFLA.EQ.0) THEN
+ IF(KFLB.EQ.5) CHAU(1:1)='B'
+ IF(KFLB.EQ.6) CHAU(1:1)='T'
+ IF(KFLB.EQ.7) CHAU(1:1)='L'
+ IF(KFLB.EQ.8) CHAU(1:1)='H'
+ LEN=1
+ IF(KFLR.EQ.0.AND.KFLS.EQ.1) THEN
+ ELSEIF(KFLR.EQ.0.AND.KFLS.EQ.3) THEN
+ CHAU(2:2)='*'
+ LEN=2
+ ELSEIF(KFLR.EQ.1.AND.KFLS.EQ.3) THEN
+ CHAU(2:3)='_1'
+ LEN=3
+ ELSEIF(KFLR.EQ.1.AND.KFLS.EQ.1) THEN
+ CHAU(2:4)='*_0'
+ LEN=4
+ ELSEIF(KFLR.EQ.2) THEN
+ CHAU(2:4)='*_1'
+ LEN=4
+ ELSEIF(KFLS.EQ.5) THEN
+ CHAU(2:4)='*_2'
+ LEN=4
+ ENDIF
+ IF(KFLC.GE.3.AND.KFLR.EQ.0.AND.KFLS.LE.3) THEN
+ CHAU(LEN+1:LEN+2)='_'//CHAF(KFLC)(1:1)
+ LEN=LEN+2
+ ELSEIF(KFLC.GE.3) THEN
+ CHAU(LEN+1:LEN+1)=CHAF(KFLC)(1:1)
+ LEN=LEN+1
+ ENDIF
+
+C...Construct root name and spin for heavy baryon.
+ ELSE
+ IF(KFLB.LE.2.AND.KFLC.LE.2) THEN
+ CHAU='Sigma '
+ IF(KFLC.GT.KFLB) CHAU='Lambda'
+ IF(KFLS.EQ.4) CHAU='Sigma*'
+ LEN=5
+ IF(CHAU(6:6).NE.' ') LEN=6
+ ELSEIF(KFLB.LE.2.OR.KFLC.LE.2) THEN
+ CHAU='Xi '
+ IF(KFLA.GT.KFLB.AND.KFLB.GT.KFLC) CHAU='Xi'''
+ IF(KFLS.EQ.4) CHAU='Xi*'
+ LEN=2
+ IF(CHAU(3:3).NE.' ') LEN=3
+ ELSE
+ CHAU='Omega '
+ IF(KFLA.GT.KFLB.AND.KFLB.GT.KFLC) CHAU='Omega'''
+ IF(KFLS.EQ.4) CHAU='Omega*'
+ LEN=5
+ IF(CHAU(6:6).NE.' ') LEN=6
+ ENDIF
+
+C...Add on heavy flavour content for heavy baryon.
+ CHAU(LEN+1:LEN+2)='_'//CHAF(KFLA)(1:1)
+ LEN=LEN+2
+ IF(KFLB.GE.KFLC.AND.KFLC.GE.4) THEN
+ CHAU(LEN+1:LEN+2)=CHAF(KFLB)(1:1)//CHAF(KFLC)(1:1)
+ LEN=LEN+2
+ ELSEIF(KFLB.GE.KFLC.AND.KFLB.GE.4) THEN
+ CHAU(LEN+1:LEN+1)=CHAF(KFLB)(1:1)
+ LEN=LEN+1
+ ELSEIF(KFLC.GT.KFLB.AND.KFLB.GE.4) THEN
+ CHAU(LEN+1:LEN+2)=CHAF(KFLC)(1:1)//CHAF(KFLB)(1:1)
+ LEN=LEN+2
+ ELSEIF(KFLC.GT.KFLB.AND.KFLC.GE.4) THEN
+ CHAU(LEN+1:LEN+1)=CHAF(KFLC)(1:1)
+ LEN=LEN+1
+ ENDIF
+ ENDIF
+
+C...Add on bar sign for antiparticle (where necessary).
+ IF(KF.GT.0.OR.LEN.EQ.0) THEN
+ ELSEIF(KFA.GT.10.AND.KFA.LE.40.AND.KQ.NE.0.AND.MOD(KQ,3).EQ.0)
+ &THEN
+ ELSEIF(KFA.EQ.89.OR.(KFA.GE.91.AND.KFA.LE.99)) THEN
+ ELSEIF(KFA.GT.100.AND.KFLA.EQ.0.AND.KQ.NE.0) THEN
+ ELSEIF(MSTU(15).LE.1) THEN
+ CHAU(LEN+1:LEN+1)='~'
+ LEN=LEN+1
+ ELSE
+ CHAU(LEN+1:LEN+3)='bar'
+ LEN=LEN+3
+ ENDIF
+
+C...Add on charge where applicable (conventional cases skipped).
+ IF(KQ.EQ.6) CHAU(LEN+1:LEN+2)='++'
+ IF(KQ.EQ.-6) CHAU(LEN+1:LEN+2)='--'
+ IF(KQ.EQ.3) CHAU(LEN+1:LEN+1)='+'
+ IF(KQ.EQ.-3) CHAU(LEN+1:LEN+1)='-'
+ IF(KQ.EQ.0.AND.(KFA.LE.22.OR.LEN.EQ.0)) THEN
+ ELSEIF(KQ.EQ.0.AND.(KFA.GE.81.AND.KFA.LE.100)) THEN
+ ELSEIF(KFA.EQ.28.OR.KFA.EQ.29) THEN
+ ELSEIF(KFA.GT.100.AND.KFLA.EQ.0.AND.KFLB.EQ.KFLC.AND.
+ &KFLB.NE.1) THEN
+ ELSEIF(KQ.EQ.0) THEN
+ CHAU(LEN+1:LEN+1)='0'
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ FUNCTION LYCHGE(KF)
+
+C...Purpose: to give three times the charge for a particle/parton.
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT2/
+
+C...Initial values. Simple case of direct readout.
+ LYCHGE=0
+ KFA=IABS(KF)
+ KC=LYCOMP(KFA)
+ IF(KC.EQ.0) THEN
+ ELSEIF(KFA.LE.100.OR.KC.LE.80.OR.KC.GT.100) THEN
+ LYCHGE=KCHG(KC,1)
+
+C...Construction from quark content for heavy meson, diquark, baryon.
+ ELSEIF(MOD(KFA/1000,10).EQ.0) THEN
+ LYCHGE=(KCHG(MOD(KFA/100,10),1)-KCHG(MOD(KFA/10,10),1))*
+ & (-1)**MOD(KFA/100,10)
+ ELSEIF(MOD(KFA/10,10).EQ.0) THEN
+ LYCHGE=KCHG(MOD(KFA/1000,10),1)+KCHG(MOD(KFA/100,10),1)
+ ELSE
+ LYCHGE=KCHG(MOD(KFA/1000,10),1)+KCHG(MOD(KFA/100,10),1)+
+ & KCHG(MOD(KFA/10,10),1)
+ ENDIF
+
+C...Add on correct sign.
+ LYCHGE=LYCHGE*ISIGN(1,KF)
+
+ RETURN
+ END
+
+C*********************************************************************
+ integer function lycomp_beg(kfa)
+*
+*
+* called by modified LYCOMP_BEG to add user defined particles
+*
+* added ASLUND backward compatibility Dec 1994
+* added LYCOMP_BEG=410+abs(KF)/100 000 July 1994
+* added UPS 4S,5S Jan 1994
+* added all bb-onia below threshold Jun 97 RW
+*
+* NOTE: ASLUND version maps LYCOMP_BEG = 400 + KFA/1 000 000
+*
+* Doug Wright Oct 1994
+* R.Waldi Nov 1997
+
+ implicit none
+
+C #include "beget.inc" (Don't need beget.inc) 1/16/98
+
+ integer N_BB
+ PARAMETER (N_BB = 22)
+ integer KF_BB(N_BB),KC_BB(N_BB),I
+
+ DATA KF_BB
+* UPS(3S),UPS(4S),UPS(5S),UPS_1(1D),UPS_2(1D),UPS_3(1D)
+ 1 / 60553, 70553, 80553, 120553, 30555, 557,
+* UPS_1(2D),UPS_2(2D),UPS_3(2D),chi_0b(2P),chi_1b(2P),chi_2b(2P)
+ 1 130553, 50555, 10557, 30551, 50553, 10555,
+* h_b(2P),chi_0b(3P),chi_1b(3P),chi_2b(3P),h_b(3P),eta_b(2S),
+ 1 40553, 50551, 110553, 20555, 100553, 20551,
+* eta_b(3S),eta_2b(1D),eta_2b(2D),eta_c(2S)
+ 1 40551, 40555, 60555, 20441/
+ DATA KC_BB
+* UPS(3S),UPS(4S),UPS(5S),UPS_1(1D),UPS_2(1D),UPS_3(1D)
+ 1 / 403, 404, 405, 416, 417, 418,
+* UPS_1(2D),UPS_2(2D),UPS_3(2D),chi_0b(2P),chi_1b(2P),chi_2b(2P)
+ 1 419, 420, 421, 410, 411, 412,
+* h_b(2P),chi_0b(3P),chi_1b(3P),chi_2b(3P),h_b(3P),eta_b(2S),
+ 1 422, 413, 414, 415, 423, 401,
+* eta_b(3S),eta_2b(1D),eta_2b(2D),eta_c(2S)
+ 1 402, 424, 425, 460/
+
+ integer kfa
+
+ LYCOMP_BEG = 0
+ IF( KFA.GE.1000000) THEN ! for ASLUND backward compatibility
+ LYCOMP_BEG = 400 + MOD(KFA/1 000 000,100)
+c ELSEIF(KFA.GE.100000) THEN
+c LYCOMP_BEG = 410 + MOD(KFA/100 000, 90)
+ ELSE
+ DO 100 I=1,N_BB
+ IF(KFA.eq.KF_BB(I)) THEN
+ LYCOMP_BEG = KC_BB(I)
+ GOTO 110
+ ENDIF
+ 100 CONTINUE
+ 110 CONTINUE
+ ENDIF
+ end
+
+C*********************************************************************
+
+ FUNCTION LYCOMP(KF)
+ implicit none
+*****-*****************************************************************-*******
+C...Purpose: to compress the standard KF codes for use in mass and decay
+C...arrays; also to check whether a given code actually is defined.
+C.. History:
+C
+C 12-Aug-1997 - Lockman : implicit none added; save KFTAB, KCTAB
+C... modified R.Waldi/92-07.v7.4:97-06 beget conv./stdhep, 97/11 evtgen
+C 11-Sep-2000 - Mark Ian Williams added X_su/d/s for BtoXsgamma model
+*****-*****************************************************************-*******
+ integer kf
+ integer lycomp, lycomp_beg
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT2/
+ integer kchg
+ real*4 pmas, parf, vckm
+* DIMENSION KFTAB(25),KCTAB(25)
+ integer KFTAB(25),KCTAB(25)
+ save KFTAB, KCTAB
+ integer kfa, ikf, kfla, kflb, kflc, kfls, kflr
+ DATA KFTAB/211,111,221,311,321,130,310,213,113,223,
+ &313,323,2112,2212,210,2110,2210,110,220,330,440,30443,30553,0,0/
+ DATA KCTAB/101,111,112,102,103,221,222,121,131,132,
+ &122,123,332,333,281,282,283,284,285,286,287,231,235,0,0/
+
+C...Starting values.
+ LYCOMP=lycomp_beg(KF)
+ IF (LYCOMP .NE. 0) RETURN
+
+ KFA=IABS(KF)
+
+C...Subdivide KF code into constituent pieces.
+
+ KFLR=MOD(KFA/10000,10)
+ KFLA=MOD(KFA/1000,10)
+ KFLB=MOD(KFA/100,10)
+ KFLC=MOD(KFA/10,10)
+ KFLS=MOD(KFA,10)
+
+C...Hardwire the return code for -42 since EvtJetSet updates the particles
+C too late for the Xu- decays to be recognized
+ IF (KF.EQ.-42) THEN
+ LYCOMP=KFA
+ RETURN
+ ENDIF
+
+C...Allow for massive sbar-u, sbar-d, sbar-s systems
+ IF (KFA.EQ.30343.OR.KFA.EQ.30353.OR.KFA.EQ.30363) THEN
+ LYCOMP=451+KFLC
+ RETURN
+ ENDIF
+
+C...Simple cases: direct translation or table.
+ IF(KFA.EQ.0.OR.KFA.GE.100000) THEN
+ RETURN
+ ELSEIF(KFA.LE.100) THEN
+ LYCOMP=KFA
+ IF(KF.LT.0.AND.KCHG(KFA,3).EQ.0) LYCOMP=0
+ RETURN
+ ELSE
+ DO 100 IKF=1,23
+ IF(KFA.EQ.KFTAB(IKF)) THEN
+ LYCOMP=KCTAB(IKF)
+ IF(KF.LT.0.AND.KCHG(LYCOMP,3).EQ.0) LYCOMP=0
+ RETURN
+ ENDIF
+ 100 CONTINUE
+ ENDIF
+
+C...Mesons.
+ IF(KFA-10000*KFLR.LT.1000) THEN
+ IF(KFLB.EQ.0.OR.KFLB.EQ.9.OR.KFLC.EQ.0.OR.KFLC.EQ.9) THEN
+ ELSEIF(KFLB.LT.KFLC) THEN
+ ELSEIF(KF.LT.0.AND.KFLB.EQ.KFLC) THEN
+ ELSEIF(KFLB.EQ.KFLC) THEN
+ IF(KFLR.EQ.0.AND.KFLS.EQ.1) THEN
+ LYCOMP=110+KFLB
+ ELSEIF(KFLR.EQ.0.AND.KFLS.EQ.3) THEN
+ LYCOMP=130+KFLB
+ ELSEIF(KFLR.EQ.1.AND.KFLS.EQ.3) THEN
+ LYCOMP=150+KFLB
+ ELSEIF(KFLR.EQ.1.AND.KFLS.EQ.1) THEN
+ LYCOMP=170+KFLB
+ ELSEIF(KFLR.EQ.2.AND.KFLS.EQ.3) THEN
+ LYCOMP=190+KFLB
+ ELSEIF(KFLR.EQ.0.AND.KFLS.EQ.5) THEN
+ LYCOMP=210+KFLB
+ ENDIF
+ ELSEIF(KFLB.LE.5) THEN
+ IF(KFLR.EQ.0.AND.KFLS.EQ.1) THEN
+ LYCOMP=100+((KFLB-1)*(KFLB-2))/2+KFLC
+ ELSEIF(KFLR.EQ.0.AND.KFLS.EQ.3) THEN
+ LYCOMP=120+((KFLB-1)*(KFLB-2))/2+KFLC
+ ELSEIF(KFLR.EQ.1.AND.KFLS.EQ.3) THEN
+ LYCOMP=140+((KFLB-1)*(KFLB-2))/2+KFLC
+ ELSEIF(KFLR.EQ.1.AND.KFLS.EQ.1) THEN
+ LYCOMP=160+((KFLB-1)*(KFLB-2))/2+KFLC
+ ELSEIF(KFLR.EQ.2.AND.KFLS.EQ.3) THEN
+ LYCOMP=180+((KFLB-1)*(KFLB-2))/2+KFLC
+ ELSEIF(KFLR.EQ.0.AND.KFLS.EQ.5) THEN
+ LYCOMP=200+((KFLB-1)*(KFLB-2))/2+KFLC
+ ENDIF
+ ELSEIF((KFLS.EQ.1.AND.KFLR.LE.1).OR.(KFLS.EQ.3.AND.KFLR.LE.2)
+ & .OR.(KFLS.EQ.5.AND.KFLR.EQ.0)) THEN
+ LYCOMP=80+KFLB
+ ENDIF
+
+C...Diquarks.
+ ELSEIF((KFLR.EQ.0.OR.KFLR.EQ.1).AND.KFLC.EQ.0) THEN
+ IF(KFLS.NE.1.AND.KFLS.NE.3) THEN
+ ELSEIF(KFLA.EQ.9.OR.KFLB.EQ.0.OR.KFLB.EQ.9) THEN
+ ELSEIF(KFLA.LT.KFLB) THEN
+ ELSEIF(KFLS.EQ.1.AND.KFLA.EQ.KFLB) THEN
+ ELSE
+ LYCOMP=90
+ ENDIF
+
+C...Spin 1/2 baryons.
+ ELSEIF(KFLR.EQ.0.AND.KFLS.EQ.2) THEN
+ IF(KFLA.EQ.9.OR.KFLB.EQ.0.OR.KFLB.EQ.9.OR.KFLC.EQ.9) THEN
+ ELSEIF(KFLA.LE.KFLC.OR.KFLA.LT.KFLB) THEN
+ ELSEIF(KFLA.GE.6.OR.KFLB.GE.4.OR.KFLC.GE.4) THEN
+ LYCOMP=80+KFLA
+ ELSEIF(KFLB.LT.KFLC) THEN
+ LYCOMP=300+((KFLA+1)*KFLA*(KFLA-1))/6+(KFLC*(KFLC-1))/2+KFLB
+ ELSE
+ LYCOMP=330+((KFLA+1)*KFLA*(KFLA-1))/6+(KFLB*(KFLB-1))/2+KFLC
+ ENDIF
+
+C...Spin 3/2 baryons.
+ ELSEIF(KFLR.EQ.0.AND.KFLS.EQ.4) THEN
+ IF(KFLA.EQ.9.OR.KFLB.EQ.0.OR.KFLB.EQ.9.OR.KFLC.EQ.9) THEN
+ ELSEIF(KFLA.LT.KFLB.OR.KFLB.LT.KFLC) THEN
+ ELSEIF(KFLA.GE.6.OR.KFLB.GE.4) THEN
+ LYCOMP=80+KFLA
+ ELSE
+ LYCOMP=360+((KFLA+1)*KFLA*(KFLA-1))/6+(KFLB*(KFLB-1))/2+KFLC
+ ENDIF
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYERRM(MERR,CHMESS)
+
+C...Purpose: to inform user of errors in program execution.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYJETS/,/LYDAT1/
+ CHARACTER CHMESS*(*)
+
+C...Write first few warnings, then be silent.
+ IF(MERR.LE.10) THEN
+ MSTU(27)=MSTU(27)+1
+ MSTU(28)=MERR
+ IF(MSTU(25).EQ.1.AND.MSTU(27).LE.MSTU(26)) WRITE(MSTU(11),5000)
+ & MERR,MSTU(31),CHMESS
+
+C...Write first few errors, then be silent or stop program.
+ ELSEIF(MERR.LE.20) THEN
+ MSTU(23)=MSTU(23)+1
+ MSTU(24)=MERR-10
+ IF(MSTU(21).GE.1.AND.MSTU(23).LE.MSTU(22)) WRITE(MSTU(11),5100)
+ & MERR-10,MSTU(31),CHMESS
+ IF(MSTU(21).GE.2.AND.MSTU(23).GT.MSTU(22)) THEN
+ WRITE(MSTU(11),5100) MERR-10,MSTU(31),CHMESS
+ WRITE(MSTU(11),5200)
+ IF(MERR.NE.17) CALL LYLIST(2)
+ STOP
+ ENDIF
+
+C...Stop program in case of irreparable error.
+ ELSE
+ WRITE(MSTU(11),5300) MERR-20,MSTU(31),CHMESS
+ STOP
+ ENDIF
+
+C...Formats for output.
+ 5000 FORMAT(/5X,'Advisory warning type',I2,' given after',I6,
+ &' LYEXEC calls:'/5X,A)
+ 5100 FORMAT(/5X,'Error type',I2,' has occured after',I6,
+ &' LYEXEC calls:'/5X,A)
+ 5200 FORMAT(5X,'Execution will be stopped after listing of last ',
+ &'event!')
+ 5300 FORMAT(/5X,'Fatal error type',I2,' has occured after',I6,
+ &' LYEXEC calls:'/5X,A/5X,'Execution will now be stopped!')
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ FUNCTION UYALEM(Q2)
+
+C...Purpose: to calculate the running alpha_electromagnetic.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+
+C...Calculate real part of photon vacuum polarization.
+C...For leptons simplify by using asymptotic (Q^2 >> m^2) expressions.
+C...For hadrons use parametrization of H. Burkhardt et al.
+C...See R. Kleiss et al, CERN 89-08, vol. 3, pp. 129-131.
+ AEMPI=PARU(101)/(3.*PARU(1))
+ IF(MSTU(101).LE.0.OR.Q2.LT.2E-6) THEN
+ RPIGG=0.
+ ELSEIF(MSTU(101).EQ.2.AND.Q2.LT.PARU(104)) THEN
+ RPIGG=0.
+ ELSEIF(MSTU(101).EQ.2) THEN
+ RPIGG=1.-PARU(101)/PARU(103)
+ ELSEIF(Q2.LT.0.09) THEN
+ RPIGG=AEMPI*(13.4916+LOG(Q2))+0.00835*LOG(1.+Q2)
+ ELSEIF(Q2.LT.9.) THEN
+ RPIGG=AEMPI*(16.3200+2.*LOG(Q2))+0.00238*LOG(1.+3.927*Q2)
+ ELSEIF(Q2.LT.1E4) THEN
+ RPIGG=AEMPI*(13.4955+3.*LOG(Q2))+0.00165+0.00299*LOG(1.+Q2)
+ ELSE
+ RPIGG=AEMPI*(13.4955+3.*LOG(Q2))+0.00221+0.00293*LOG(1.+Q2)
+ ENDIF
+
+C...Calculate running alpha_em.
+ UYALEM=PARU(101)/(1.-RPIGG)
+ PARU(108)=UYALEM
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ FUNCTION UYALPS(Q2)
+
+C...Purpose: to give the value of alpha_strong.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT1/,/LYDAT2/
+
+C...Constant alpha_strong trivial.
+ IF(MSTU(111).LE.0) THEN
+ UYALPS=PARU(111)
+ MSTU(118)=MSTU(112)
+ PARU(117)=0.
+ PARU(118)=PARU(111)
+ RETURN
+ ENDIF
+
+C...Find effective Q2, number of flavours and Lambda.
+ Q2EFF=Q2
+ IF(MSTU(115).GE.2) Q2EFF=MAX(Q2,PARU(114))
+ NF=MSTU(112)
+ ALAM2=PARU(112)**2
+ 100 IF(NF.GT.MAX(2,MSTU(113))) THEN
+ Q2THR=PARU(113)*PMAS(NF,1)**2
+ IF(Q2EFF.LT.Q2THR) THEN
+ NF=NF-1
+ ALAM2=ALAM2*(Q2THR/ALAM2)**(2./(33.-2.*NF))
+ GOTO 100
+ ENDIF
+ ENDIF
+ 110 IF(NF.LT.MIN(8,MSTU(114))) THEN
+ Q2THR=PARU(113)*PMAS(NF+1,1)**2
+ IF(Q2EFF.GT.Q2THR) THEN
+ NF=NF+1
+ ALAM2=ALAM2*(ALAM2/Q2THR)**(2./(33.-2.*NF))
+ GOTO 110
+ ENDIF
+ ENDIF
+ IF(MSTU(115).EQ.1) Q2EFF=Q2EFF+ALAM2
+ PARU(117)=SQRT(ALAM2)
+
+C...Evaluate first or second order alpha_strong.
+ B0=(33.-2.*NF)/6.
+ ALGQ=LOG(MAX(1.0001,Q2EFF/ALAM2))
+ IF(MSTU(111).EQ.1) THEN
+ UYALPS=MIN(PARU(115),PARU(2)/(B0*ALGQ))
+ ELSE
+ B1=(153.-19.*NF)/6.
+ UYALPS=MIN(PARU(115),PARU(2)/(B0*ALGQ)*(1.-B1*LOG(ALGQ)/
+ & (B0**2*ALGQ)))
+ ENDIF
+ MSTU(118)=NF
+ PARU(118)=UYALPS
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ FUNCTION UYANGL(X,Y)
+
+C...Purpose: to reconstruct an angle from given x and y coordinates.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+
+ UYANGL=0.
+ R=SQRT(X**2+Y**2)
+ IF(R.LT.1E-20) RETURN
+ IF(ABS(X)/R.LT.0.8) THEN
+ UYANGL=SIGN(ACOS(X/R),Y)
+ ELSE
+ UYANGL=ASIN(Y/R)
+ IF(X.LT.0..AND.UYANGL.GE.0.) THEN
+ UYANGL=PARU(1)-UYANGL
+ ELSEIF(X.LT.0.) THEN
+ UYANGL=-PARU(1)-UYANGL
+ ENDIF
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+c
+c FUNCTION RLU(IDUMMY)
+c
+cC...Purpose: to generate random numbers uniformly distributed between
+cC...0 and 1, excluding the endpoints.
+c COMMON/LYDATR/MRLU(6),RRLU(100)
+c SAVE /LYDATR/
+c EQUIVALENCE (MRLU1,MRLU(1)),(MRLU2,MRLU(2)),(MRLU3,MRLU(3)),
+c &(MRLU4,MRLU(4)),(MRLU5,MRLU(5)),(MRLU6,MRLU(6)),
+c &(RRLU98,RRLU(98)),(RRLU99,RRLU(99)),(RRLU00,RRLU(100))
+c
+cC...Initialize generation from given seed.
+c IF(MRLU2.EQ.0) THEN
+c IJ=MOD(MRLU1/30082,31329)
+c KL=MOD(MRLU1,30082)
+c I=MOD(IJ/177,177)+2
+c J=MOD(IJ,177)+2
+c K=MOD(KL/169,178)+1
+c L=MOD(KL,169)
+c DO 110 II=1,97
+c S=0.
+c T=0.5
+c DO 100 JJ=1,24
+c M=MOD(MOD(I*J,179)*K,179)
+c I=J
+c J=K
+c K=M
+c L=MOD(53*L+1,169)
+c IF(MOD(L*M,64).GE.32) S=S+T
+c T=0.5*T
+c 100 CONTINUE
+c RRLU(II)=S
+c 110 CONTINUE
+c TWOM24=1.
+c DO 120 I24=1,24
+c TWOM24=0.5*TWOM24
+c 120 CONTINUE
+c RRLU98=362436.*TWOM24
+c RRLU99=7654321.*TWOM24
+c RRLU00=16777213.*TWOM24
+c MRLU2=1
+c MRLU3=0
+c MRLU4=97
+c MRLU5=33
+c ENDIF
+c
+cC...Generate next random number.
+c 130 RUNI=RRLU(MRLU4)-RRLU(MRLU5)
+c IF(RUNI.LT.0.) RUNI=RUNI+1.
+c RRLU(MRLU4)=RUNI
+c MRLU4=MRLU4-1
+c IF(MRLU4.EQ.0) MRLU4=97
+c MRLU5=MRLU5-1
+c IF(MRLU5.EQ.0) MRLU5=97
+c RRLU98=RRLU98-RRLU99
+c IF(RRLU98.LT.0.) RRLU98=RRLU98+RRLU00
+c RUNI=RUNI-RRLU98
+c IF(RUNI.LT.0.) RUNI=RUNI+1.
+c IF(RUNI.LE.0.OR.RUNI.GE.1.) GOTO 130
+c
+cC...Update counters. Random number to output.
+c MRLU3=MRLU3+1
+c IF(MRLU3.EQ.1000000000) THEN
+c MRLU2=MRLU2+1
+c MRLU3=0
+c ENDIF
+c RLU=RUNI
+c
+c RETURN
+c END
+c
+C*********************************************************************
+
+ SUBROUTINE RLYGET(LFN,MOVE)
+
+C...Purpose: to dump the state of the random number generator on a file
+C...for subsequent startup from this state onwards.
+ COMMON/LYDATR/MRLU(6),RRLU(100)
+ SAVE /LYDATR/
+ CHARACTER CHERR*8
+
+C...Backspace required number of records (or as many as there are).
+ IF(MOVE.LT.0) THEN
+ NBCK=MIN(MRLU(6),-MOVE)
+ DO 100 IBCK=1,NBCK
+ BACKSPACE(LFN,ERR=110,IOSTAT=IERR)
+ 100 CONTINUE
+ MRLU(6)=MRLU(6)-NBCK
+ ENDIF
+
+C...Unformatted write on unit LFN.
+ WRITE(LFN,ERR=110,IOSTAT=IERR) (MRLU(I1),I1=1,5),
+ &(RRLU(I2),I2=1,100)
+ MRLU(6)=MRLU(6)+1
+ RETURN
+
+C...Write error.
+ 110 WRITE(CHERR,'(I8)') IERR
+ CALL LYERRM(18,'(RLYGET:) error when accessing file, IOSTAT ='//
+ &CHERR)
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE RLYSET(LFN,MOVE)
+
+C...Purpose: to read a state of the random number generator from a file
+C...for subsequent generation from this state onwards.
+ COMMON/LYDATR/MRLU(6),RRLU(100)
+ SAVE /LYDATR/
+ CHARACTER CHERR*8
+
+C...Backspace required number of records (or as many as there are).
+ IF(MOVE.LT.0) THEN
+ NBCK=MIN(MRLU(6),-MOVE)
+ DO 100 IBCK=1,NBCK
+ BACKSPACE(LFN,ERR=120,IOSTAT=IERR)
+ 100 CONTINUE
+ MRLU(6)=MRLU(6)-NBCK
+ ENDIF
+
+C...Unformatted read from unit LFN.
+ NFOR=1+MAX(0,MOVE)
+ DO 110 IFOR=1,NFOR
+ READ(LFN,ERR=120,IOSTAT=IERR) (MRLU(I1),I1=1,5),
+ &(RRLU(I2),I2=1,100)
+ 110 CONTINUE
+ MRLU(6)=MRLU(6)+NFOR
+ RETURN
+
+C...Write error.
+ 120 WRITE(CHERR,'(I8)') IERR
+ CALL LYERRM(18,'(RLYSET:) error when accessing file, IOSTAT ='//
+ &CHERR)
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYROBO(THE,PHI,BEX,BEY,BEZ)
+
+C...Purpose: to perform rotations and boosts.
+ IMPLICIT DOUBLE PRECISION(D)
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYJETS/,/LYDAT1/
+ DIMENSION ROT(3,3),PR(3),VR(3),DP(4),DV(4)
+
+C...Find range of rotation/boost. Convert boost to double precision.
+ IMIN=1
+ IF(MSTU(1).GT.0) IMIN=MSTU(1)
+ IMAX=N
+ IF(MSTU(2).GT.0) IMAX=MSTU(2)
+ DBX=BEX
+ DBY=BEY
+ DBZ=BEZ
+ GOTO 120
+
+C...Entry for specific range and double precision boost.
+ ENTRY LUDBRB(IMI,IMA,THE,PHI,DBEX,DBEY,DBEZ)
+ IMIN=IMI
+ IF(IMIN.LE.0) IMIN=1
+ IMAX=IMA
+ IF(IMAX.LE.0) IMAX=N
+ DBX=DBEX
+ DBY=DBEY
+ DBZ=DBEZ
+
+C...Optional resetting of V (when not set before.)
+ IF(MSTU(33).NE.0) THEN
+ DO 110 I=MIN(IMIN,MSTU(4)),MIN(IMAX,MSTU(4))
+ DO 100 J=1,5
+ V(I,J)=0.
+ 100 CONTINUE
+ 110 CONTINUE
+ MSTU(33)=0
+ ENDIF
+
+C...Check range of rotation/boost.
+ 120 IF(IMIN.GT.MSTU(4).OR.IMAX.GT.MSTU(4)) THEN
+ CALL LYERRM(11,'(LYROBO:) range outside LUJETS memory')
+ RETURN
+ ENDIF
+
+C...Rotate, typically from z axis to direction (theta,phi).
+ IF(THE**2+PHI**2.GT.1E-20) THEN
+ ROT(1,1)=COS(THE)*COS(PHI)
+ ROT(1,2)=-SIN(PHI)
+ ROT(1,3)=SIN(THE)*COS(PHI)
+ ROT(2,1)=COS(THE)*SIN(PHI)
+ ROT(2,2)=COS(PHI)
+ ROT(2,3)=SIN(THE)*SIN(PHI)
+ ROT(3,1)=-SIN(THE)
+ ROT(3,2)=0.
+ ROT(3,3)=COS(THE)
+ DO 150 I=IMIN,IMAX
+ IF(K(I,1).LE.0) GOTO 150
+ DO 130 J=1,3
+ PR(J)=P(I,J)
+ VR(J)=V(I,J)
+ 130 CONTINUE
+ DO 140 J=1,3
+ P(I,J)=ROT(J,1)*PR(1)+ROT(J,2)*PR(2)+ROT(J,3)*PR(3)
+ V(I,J)=ROT(J,1)*VR(1)+ROT(J,2)*VR(2)+ROT(J,3)*VR(3)
+ 140 CONTINUE
+ 150 CONTINUE
+ ENDIF
+
+C...Boost, typically from rest to momentum/energy=beta.
+ IF(DBX**2+DBY**2+DBZ**2.GT.1E-20) THEN
+ DB=SQRT(DBX**2+DBY**2+DBZ**2)
+ IF(DB.GT.0.99999999D0) THEN
+C...Rescale boost vector if too close to unity.
+ CALL LYERRM(3,'(LYROBO:) boost vector too large')
+ DBX=DBX*(0.99999999D0/DB)
+ DBY=DBY*(0.99999999D0/DB)
+ DBZ=DBZ*(0.99999999D0/DB)
+ DB=0.99999999D0
+ ENDIF
+ DGA=1D0/SQRT(1D0-DB**2)
+ DO 170 I=IMIN,IMAX
+ IF(K(I,1).LE.0) GOTO 170
+ DO 160 J=1,4
+ DP(J)=P(I,J)
+ DV(J)=V(I,J)
+ 160 CONTINUE
+ DBP=DBX*DP(1)+DBY*DP(2)+DBZ*DP(3)
+ DGABP=DGA*(DGA*DBP/(1D0+DGA)+DP(4))
+ P(I,1)=DP(1)+DGABP*DBX
+ P(I,2)=DP(2)+DGABP*DBY
+ P(I,3)=DP(3)+DGABP*DBZ
+ P(I,4)=DGA*(DP(4)+DBP)
+ DBV=DBX*DV(1)+DBY*DV(2)+DBZ*DV(3)
+ DGABV=DGA*(DGA*DBV/(1D0+DGA)+DV(4))
+ V(I,1)=DV(1)+DGABV*DBX
+ V(I,2)=DV(2)+DGABV*DBY
+ V(I,3)=DV(3)+DGABV*DBZ
+ V(I,4)=DGA*(DV(4)+DBV)
+ 170 CONTINUE
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYEDIT(MEDIT)
+
+C...Purpose: to perform global manipulations on the event record,
+C...in particular to exclude unstable or undetectable partons/particles.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION NS(2),PTS(2),PLS(2)
+
+C...Remove unwanted partons/particles.
+ IF((MEDIT.GE.0.AND.MEDIT.LE.3).OR.MEDIT.EQ.5) THEN
+ IMAX=N
+ IF(MSTU(2).GT.0) IMAX=MSTU(2)
+ I1=MAX(1,MSTU(1))-1
+ DO 110 I=MAX(1,MSTU(1)),IMAX
+ IF(K(I,1).EQ.0.OR.K(I,1).GT.20) GOTO 110
+ IF(MEDIT.EQ.1) THEN
+ IF(K(I,1).GT.10) GOTO 110
+ ELSEIF(MEDIT.EQ.2) THEN
+ IF(K(I,1).GT.10) GOTO 110
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.KC.EQ.18)
+ & GOTO 110
+ ELSEIF(MEDIT.EQ.3) THEN
+ IF(K(I,1).GT.10) GOTO 110
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0) GOTO 110
+ IF(KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0) GOTO 110
+ ELSEIF(MEDIT.EQ.5) THEN
+ IF(K(I,1).EQ.13.OR.K(I,1).EQ.14) GOTO 110
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0) GOTO 110
+ IF(K(I,1).GE.11.AND.KCHG(KC,2).EQ.0) GOTO 110
+ ENDIF
+
+C...Pack remaining partons/particles. Origin no longer known.
+ I1=I1+1
+ DO 100 J=1,5
+ K(I1,J)=K(I,J)
+ P(I1,J)=P(I,J)
+ V(I1,J)=V(I,J)
+ 100 CONTINUE
+ K(I1,3)=0
+ 110 CONTINUE
+ IF(I1.LT.N) MSTU(3)=0
+ IF(I1.LT.N) MSTU(70)=0
+ N=I1
+
+C...Selective removal of class of entries. New position of retained.
+ ELSEIF(MEDIT.GE.11.AND.MEDIT.LE.15) THEN
+ I1=0
+ DO 120 I=1,N
+ K(I,3)=MOD(K(I,3),MSTU(5))
+ IF(MEDIT.EQ.11.AND.K(I,1).LT.0) GOTO 120
+ IF(MEDIT.EQ.12.AND.K(I,1).EQ.0) GOTO 120
+ IF(MEDIT.EQ.13.AND.(K(I,1).EQ.11.OR.K(I,1).EQ.12.OR.
+ & K(I,1).EQ.15).AND.K(I,2).NE.94) GOTO 120
+ IF(MEDIT.EQ.14.AND.(K(I,1).EQ.13.OR.K(I,1).EQ.14.OR.
+ & K(I,2).EQ.94)) GOTO 120
+ IF(MEDIT.EQ.15.AND.K(I,1).GE.21) GOTO 120
+ I1=I1+1
+ K(I,3)=K(I,3)+MSTU(5)*I1
+ 120 CONTINUE
+
+C...Find new event history information and replace old.
+ DO 140 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.20.OR.K(I,3)/MSTU(5).EQ.0) GOTO 140
+ ID=I
+ 130 IM=MOD(K(ID,3),MSTU(5))
+ IF(MEDIT.EQ.13.AND.IM.GT.0.AND.IM.LE.N) THEN
+ IF((K(IM,1).EQ.11.OR.K(IM,1).EQ.12.OR.K(IM,1).EQ.15).AND.
+ & K(IM,2).NE.94) THEN
+ ID=IM
+ GOTO 130
+ ENDIF
+ ELSEIF(MEDIT.EQ.14.AND.IM.GT.0.AND.IM.LE.N) THEN
+ IF(K(IM,1).EQ.13.OR.K(IM,1).EQ.14.OR.K(IM,2).EQ.94) THEN
+ ID=IM
+ GOTO 130
+ ENDIF
+ ENDIF
+ K(I,3)=MSTU(5)*(K(I,3)/MSTU(5))
+ IF(IM.NE.0) K(I,3)=K(I,3)+K(IM,3)/MSTU(5)
+ IF(K(I,1).NE.3.AND.K(I,1).NE.13.AND.K(I,1).NE.14) THEN
+ IF(K(I,4).GT.0.AND.K(I,4).LE.MSTU(4)) K(I,4)=
+ & K(K(I,4),3)/MSTU(5)
+ IF(K(I,5).GT.0.AND.K(I,5).LE.MSTU(4)) K(I,5)=
+ & K(K(I,5),3)/MSTU(5)
+ ELSE
+ KCM=MOD(K(I,4)/MSTU(5),MSTU(5))
+ IF(KCM.GT.0.AND.KCM.LE.MSTU(4)) KCM=K(KCM,3)/MSTU(5)
+ KCD=MOD(K(I,4),MSTU(5))
+ IF(KCD.GT.0.AND.KCD.LE.MSTU(4)) KCD=K(KCD,3)/MSTU(5)
+ K(I,4)=MSTU(5)**2*(K(I,4)/MSTU(5)**2)+MSTU(5)*KCM+KCD
+ KCM=MOD(K(I,5)/MSTU(5),MSTU(5))
+ IF(KCM.GT.0.AND.KCM.LE.MSTU(4)) KCM=K(KCM,3)/MSTU(5)
+ KCD=MOD(K(I,5),MSTU(5))
+ IF(KCD.GT.0.AND.KCD.LE.MSTU(4)) KCD=K(KCD,3)/MSTU(5)
+ K(I,5)=MSTU(5)**2*(K(I,5)/MSTU(5)**2)+MSTU(5)*KCM+KCD
+ ENDIF
+ 140 CONTINUE
+
+C...Pack remaining entries.
+ I1=0
+ MSTU90=MSTU(90)
+ MSTU(90)=0
+ DO 170 I=1,N
+ IF(K(I,3)/MSTU(5).EQ.0) GOTO 170
+ I1=I1+1
+ DO 150 J=1,5
+ K(I1,J)=K(I,J)
+ P(I1,J)=P(I,J)
+ V(I1,J)=V(I,J)
+ 150 CONTINUE
+ K(I1,3)=MOD(K(I1,3),MSTU(5))
+ DO 160 IZ=1,MSTU90
+ IF(I.EQ.MSTU(90+IZ)) THEN
+ MSTU(90)=MSTU(90)+1
+ MSTU(90+MSTU(90))=I1
+ PARU(90+MSTU(90))=PARU(90+IZ)
+ ENDIF
+ 160 CONTINUE
+ 170 CONTINUE
+ IF(I1.LT.N) MSTU(3)=0
+ IF(I1.LT.N) MSTU(70)=0
+ N=I1
+
+C...Fill in some missing daughter pointers (lost in colour flow).
+ ELSEIF(MEDIT.EQ.16) THEN
+ DO 190 I=1,N
+ IF(K(I,1).LE.10.OR.K(I,1).GT.20) GOTO 190
+ IF(K(I,4).NE.0.OR.K(I,5).NE.0) GOTO 190
+C...Find daughters who point to mother.
+ DO 180 I1=I+1,N
+ IF(K(I1,3).NE.I) THEN
+ ELSEIF(K(I,4).EQ.0) THEN
+ K(I,4)=I1
+ ELSE
+ K(I,5)=I1
+ ENDIF
+ 180 CONTINUE
+ IF(K(I,5).EQ.0) K(I,5)=K(I,4)
+ IF(K(I,4).NE.0) GOTO 190
+C...Find daughters who point to documentation version of mother.
+ IM=K(I,3)
+ IF(IM.LE.0.OR.IM.GE.I) GOTO 190
+ IF(K(IM,1).LE.20.OR.K(IM,1).GT.30) GOTO 190
+ IF(K(IM,2).NE.K(I,2).OR.ABS(P(IM,5)-P(I,5)).GT.1E-2) GOTO 190
+ DO 182 I1=I+1,N
+ IF(K(I1,3).NE.IM) THEN
+ ELSEIF(K(I,4).EQ.0) THEN
+ K(I,4)=I1
+ ELSE
+ K(I,5)=I1
+ ENDIF
+ 182 CONTINUE
+ IF(K(I,5).EQ.0) K(I,5)=K(I,4)
+ IF(K(I,4).NE.0) GOTO 190
+C...Find daughters who point to documentation daughters who,
+C...in their turn, point to documentation mother.
+ ID1=IM
+ ID2=IM
+ DO 184 I1=IM+1,I-1
+ IF(K(I1,3).EQ.IM.AND.K(I1,1).GT.20.AND.K(I1,1).LE.30) THEN
+ ID2=I1
+ IF(ID1.EQ.IM) ID1=I1
+ ENDIF
+ 184 CONTINUE
+ DO 186 I1=I+1,N
+ IF(K(I1,3).NE.ID1.AND.K(I1,3).NE.ID2) THEN
+ ELSEIF(K(I,4).EQ.0) THEN
+ K(I,4)=I1
+ ELSE
+ K(I,5)=I1
+ ENDIF
+ 186 CONTINUE
+ IF(K(I,5).EQ.0) K(I,5)=K(I,4)
+ 190 CONTINUE
+
+C...Save top entries at bottom of LUJETS commonblock.
+ ELSEIF(MEDIT.EQ.21) THEN
+ IF(2*N.GE.MSTU(4)) THEN
+ CALL LYERRM(11,'(LYEDIT:) no more memory left in LUJETS')
+ RETURN
+ ENDIF
+ DO 210 I=1,N
+ DO 200 J=1,5
+ K(MSTU(4)-I,J)=K(I,J)
+ P(MSTU(4)-I,J)=P(I,J)
+ V(MSTU(4)-I,J)=V(I,J)
+ 200 CONTINUE
+ 210 CONTINUE
+ MSTU(32)=N
+
+C...Restore bottom entries of commonblock LUJETS to top.
+ ELSEIF(MEDIT.EQ.22) THEN
+ DO 230 I=1,MSTU(32)
+ DO 220 J=1,5
+ K(I,J)=K(MSTU(4)-I,J)
+ P(I,J)=P(MSTU(4)-I,J)
+ V(I,J)=V(MSTU(4)-I,J)
+ 220 CONTINUE
+ 230 CONTINUE
+ N=MSTU(32)
+
+C...Mark primary entries at top of commonblock LUJETS as untreated.
+ ELSEIF(MEDIT.EQ.23) THEN
+ I1=0
+ DO 240 I=1,N
+ KH=K(I,3)
+ IF(KH.GE.1) THEN
+ IF(K(KH,1).GT.20) KH=0
+ ENDIF
+ IF(KH.NE.0) GOTO 250
+ I1=I1+1
+ IF(K(I,1).GT.10.AND.K(I,1).LE.20) K(I,1)=K(I,1)-10
+ 240 CONTINUE
+ 250 N=I1
+
+C...Place largest axis along z axis and second largest in xy plane.
+ ELSEIF(MEDIT.EQ.31.OR.MEDIT.EQ.32) THEN
+ CALL LUDBRB(1,N+MSTU(3),0.,-UYANGL(P(MSTU(61),1),
+ & P(MSTU(61),2)),0D0,0D0,0D0)
+ CALL LUDBRB(1,N+MSTU(3),-UYANGL(P(MSTU(61),3),
+ & P(MSTU(61),1)),0.,0D0,0D0,0D0)
+ CALL LUDBRB(1,N+MSTU(3),0.,-UYANGL(P(MSTU(61)+1,1),
+ & P(MSTU(61)+1,2)),0D0,0D0,0D0)
+ IF(MEDIT.EQ.31) RETURN
+
+C...Rotate to put slim jet along +z axis.
+ DO 260 IS=1,2
+ NS(IS)=0
+ PTS(IS)=0.
+ PLS(IS)=0.
+ 260 CONTINUE
+ DO 270 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 270
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 270
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 270
+ ENDIF
+ IS=2.-SIGN(0.5,P(I,3))
+ NS(IS)=NS(IS)+1
+ PTS(IS)=PTS(IS)+SQRT(P(I,1)**2+P(I,2)**2)
+ 270 CONTINUE
+ IF(NS(1)*PTS(2)**2.LT.NS(2)*PTS(1)**2)
+ & CALL LUDBRB(1,N+MSTU(3),PARU(1),0.,0D0,0D0,0D0)
+
+C...Rotate to put second largest jet into -z,+x quadrant.
+ DO 280 I=1,N
+ IF(P(I,3).GE.0.) GOTO 280
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 280
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 280
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 280
+ ENDIF
+ IS=2.-SIGN(0.5,P(I,1))
+ PLS(IS)=PLS(IS)-P(I,3)
+ 280 CONTINUE
+ IF(PLS(2).GT.PLS(1)) CALL LUDBRB(1,N+MSTU(3),0.,PARU(1),
+ & 0D0,0D0,0D0)
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYLIST(MLIST)
+
+C...Purpose: to give program heading, or list an event, or particle
+C...data, or current parameter values.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/,/LYDAT3/
+ CHARACTER CHAP*16,CHAC*16,CHAN*16,CHAD(5)*16,CHDL(7)*4
+ DIMENSION PS(6)
+ DATA CHDL/'(())',' ','()','!!','<>','==','(==)'/
+
+C...Initialization printout: version number and date of last change.
+ IF(MLIST.EQ.0.OR.MSTU(12).EQ.1) THEN
+ CALL LYLOGO
+ MSTU(12)=0
+ IF(MLIST.EQ.0) RETURN
+ ENDIF
+
+C...List event data, including additional lines after N.
+ IF(MLIST.GE.1.AND.MLIST.LE.3) THEN
+ IF(MLIST.EQ.1) WRITE(MSTU(11),5100)
+ IF(MLIST.EQ.2) WRITE(MSTU(11),5200)
+ IF(MLIST.EQ.3) WRITE(MSTU(11),5300)
+ LMX=12
+ IF(MLIST.GE.2) LMX=16
+ ISTR=0
+ IMAX=N
+ IF(MSTU(2).GT.0) IMAX=MSTU(2)
+ DO 120 I=MAX(1,MSTU(1)),MAX(IMAX,N+MAX(0,MSTU(3)))
+ IF((I.GT.IMAX.AND.I.LE.N).OR.K(I,1).LT.0) GOTO 120
+
+C...Get particle name, pad it and check it is not too long.
+ CALL LYNAME(K(I,2),CHAP)
+ LEN=0
+ DO 100 LEM=1,16
+ IF(CHAP(LEM:LEM).NE.' ') LEN=LEM
+ 100 CONTINUE
+ MDL=(K(I,1)+19)/10
+ LDL=0
+ IF(MDL.EQ.2.OR.MDL.GE.8) THEN
+ CHAC=CHAP
+ IF(LEN.GT.LMX) CHAC(LMX:LMX)='?'
+ ELSE
+ LDL=1
+ IF(MDL.EQ.1.OR.MDL.EQ.7) LDL=2
+ IF(LEN.EQ.0) THEN
+ CHAC=CHDL(MDL)(1:2*LDL)//' '
+ ELSE
+ CHAC=CHDL(MDL)(1:LDL)//CHAP(1:MIN(LEN,LMX-2*LDL))//
+ & CHDL(MDL)(LDL+1:2*LDL)//' '
+ IF(LEN+2*LDL.GT.LMX) CHAC(LMX:LMX)='?'
+ ENDIF
+ ENDIF
+
+C...Add information on string connection.
+ IF(K(I,1).EQ.1.OR.K(I,1).EQ.2.OR.K(I,1).EQ.11.OR.K(I,1).EQ.12)
+ & THEN
+ KC=LYCOMP(K(I,2))
+ KCC=0
+ IF(KC.NE.0) KCC=KCHG(KC,2)
+ IF(IABS(K(I,2)).EQ.39) THEN
+ IF(LEN+2*LDL+3.LE.LMX) CHAC(LMX-1:LMX-1)='X'
+ ELSEIF(KCC.NE.0.AND.ISTR.EQ.0) THEN
+ ISTR=1
+ IF(LEN+2*LDL+3.LE.LMX) CHAC(LMX-1:LMX-1)='A'
+ ELSEIF(KCC.NE.0.AND.(K(I,1).EQ.2.OR.K(I,1).EQ.12)) THEN
+ IF(LEN+2*LDL+3.LE.LMX) CHAC(LMX-1:LMX-1)='I'
+ ELSEIF(KCC.NE.0) THEN
+ ISTR=0
+ IF(LEN+2*LDL+3.LE.LMX) CHAC(LMX-1:LMX-1)='V'
+ ENDIF
+ ENDIF
+
+C...Write data for particle/jet.
+ IF(MLIST.EQ.1.AND.ABS(P(I,4)).LT.9999.) THEN
+ WRITE(MSTU(11),5400) I,CHAC(1:12),(K(I,J1),J1=1,3),
+ & (P(I,J2),J2=1,5)
+ ELSEIF(MLIST.EQ.1.AND.ABS(P(I,4)).LT.99999.) THEN
+ WRITE(MSTU(11),5500) I,CHAC(1:12),(K(I,J1),J1=1,3),
+ & (P(I,J2),J2=1,5)
+ ELSEIF(MLIST.EQ.1) THEN
+ WRITE(MSTU(11),5600) I,CHAC(1:12),(K(I,J1),J1=1,3),
+ & (P(I,J2),J2=1,5)
+ ELSEIF(MSTU(5).EQ.10000.AND.(K(I,1).EQ.3.OR.K(I,1).EQ.13.OR.
+ & K(I,1).EQ.14)) THEN
+ WRITE(MSTU(11),5700) I,CHAC,(K(I,J1),J1=1,3),
+ & K(I,4)/100000000,MOD(K(I,4)/10000,10000),MOD(K(I,4),10000),
+ & K(I,5)/100000000,MOD(K(I,5)/10000,10000),MOD(K(I,5),10000),
+ & (P(I,J2),J2=1,5)
+ ELSE
+ WRITE(MSTU(11),5800) I,CHAC,(K(I,J1),J1=1,5),(P(I,J2),J2=1,5)
+ ENDIF
+ IF(MLIST.EQ.3) WRITE(MSTU(11),5900) (V(I,J),J=1,5)
+
+C...Insert extra separator lines specified by user.
+ IF(MSTU(70).GE.1) THEN
+ ISEP=0
+ DO 110 J=1,MIN(10,MSTU(70))
+ IF(I.EQ.MSTU(70+J)) ISEP=1
+ 110 CONTINUE
+ IF(ISEP.EQ.1.AND.MLIST.EQ.1) WRITE(MSTU(11),6000)
+ IF(ISEP.EQ.1.AND.MLIST.GE.2) WRITE(MSTU(11),6100)
+ ENDIF
+ 120 CONTINUE
+
+C...Sum of charges and momenta.
+ DO 130 J=1,6
+ PS(J)=PLY(0,J)
+ 130 CONTINUE
+ IF(MLIST.EQ.1.AND.ABS(PS(4)).LT.9999.) THEN
+ WRITE(MSTU(11),6200) PS(6),(PS(J),J=1,5)
+ ELSEIF(MLIST.EQ.1.AND.ABS(PS(4)).LT.99999.) THEN
+ WRITE(MSTU(11),6300) PS(6),(PS(J),J=1,5)
+ ELSEIF(MLIST.EQ.1) THEN
+ WRITE(MSTU(11),6400) PS(6),(PS(J),J=1,5)
+ ELSE
+ WRITE(MSTU(11),6500) PS(6),(PS(J),J=1,5)
+ ENDIF
+
+C...Give simple list of KF codes defined in program.
+ ELSEIF(MLIST.EQ.11) THEN
+ WRITE(MSTU(11),6600)
+ DO 140 KF=1,40
+ CALL LYNAME(KF,CHAP)
+ CALL LYNAME(-KF,CHAN)
+ IF(CHAP.NE.' '.AND.CHAN.EQ.' ') WRITE(MSTU(11),6700) KF,CHAP
+ IF(CHAN.NE.' ') WRITE(MSTU(11),6700) KF,CHAP,-KF,CHAN
+ 140 CONTINUE
+ DO 170 KFLS=1,3,2
+ DO 160 KFLA=1,8
+ DO 150 KFLB=1,KFLA-(3-KFLS)/2
+ KF=1000*KFLA+100*KFLB+KFLS
+ CALL LYNAME(KF,CHAP)
+ CALL LYNAME(-KF,CHAN)
+ WRITE(MSTU(11),6700) KF,CHAP,-KF,CHAN
+ 150 CONTINUE
+ 160 CONTINUE
+ 170 CONTINUE
+ KF=130
+ CALL LYNAME(KF,CHAP)
+ WRITE(MSTU(11),6700) KF,CHAP
+ KF=310
+ CALL LYNAME(KF,CHAP)
+ WRITE(MSTU(11),6700) KF,CHAP
+ DO 200 KMUL=0,5
+ KFLS=3
+ IF(KMUL.EQ.0.OR.KMUL.EQ.3) KFLS=1
+ IF(KMUL.EQ.5) KFLS=5
+ KFLR=0
+ IF(KMUL.EQ.2.OR.KMUL.EQ.3) KFLR=1
+ IF(KMUL.EQ.4) KFLR=2
+ DO 190 KFLB=1,8
+ DO 180 KFLC=1,KFLB-1
+ KF=10000*KFLR+100*KFLB+10*KFLC+KFLS
+ CALL LYNAME(KF,CHAP)
+ CALL LYNAME(-KF,CHAN)
+ WRITE(MSTU(11),6700) KF,CHAP,-KF,CHAN
+ 180 CONTINUE
+ KF=10000*KFLR+110*KFLB+KFLS
+ CALL LYNAME(KF,CHAP)
+ WRITE(MSTU(11),6700) KF,CHAP
+ 190 CONTINUE
+ 200 CONTINUE
+ KF=30443
+ CALL LYNAME(KF,CHAP)
+ WRITE(MSTU(11),6700) KF,CHAP
+ KF=30553
+ CALL LYNAME(KF,CHAP)
+ WRITE(MSTU(11),6700) KF,CHAP
+ DO 240 KFLSP=1,3
+ KFLS=2+2*(KFLSP/3)
+ DO 230 KFLA=1,8
+ DO 220 KFLB=1,KFLA
+ DO 210 KFLC=1,KFLB
+ IF(KFLSP.EQ.1.AND.(KFLA.EQ.KFLB.OR.KFLB.EQ.KFLC)) GOTO 210
+ IF(KFLSP.EQ.2.AND.KFLA.EQ.KFLC) GOTO 210
+ IF(KFLSP.EQ.1) KF=1000*KFLA+100*KFLC+10*KFLB+KFLS
+ IF(KFLSP.GE.2) KF=1000*KFLA+100*KFLB+10*KFLC+KFLS
+ CALL LYNAME(KF,CHAP)
+ CALL LYNAME(-KF,CHAN)
+ WRITE(MSTU(11),6700) KF,CHAP,-KF,CHAN
+ 210 CONTINUE
+ 220 CONTINUE
+ 230 CONTINUE
+ 240 CONTINUE
+
+C...List parton/particle data table. Check whether to be listed.
+ ELSEIF(MLIST.EQ.12) THEN
+ WRITE(MSTU(11),6800)
+ MSTJ24=MSTJ(24)
+ MSTJ(24)=0
+ KFMAX=30553
+ IF(MSTU(2).NE.0) KFMAX=MSTU(2)
+ DO 270 KF=MAX(1,MSTU(1)),KFMAX
+ KC=LYCOMP(KF)
+ IF(KC.EQ.0) GOTO 270
+ IF(MSTU(14).EQ.0.AND.KF.GT.100.AND.KC.LE.100) GOTO 270
+ IF(MSTU(14).GT.0.AND.KF.GT.100.AND.MAX(MOD(KF/1000,10),
+ & MOD(KF/100,10)).GT.MSTU(14)) GOTO 270
+ IF(MSTU(14).GT.0.AND.KF.GT.100.AND.KC.EQ.90) GOTO 270
+
+C...Find particle name and mass. Print information.
+ CALL LYNAME(KF,CHAP)
+ IF(KF.LE.100.AND.CHAP.EQ.' '.AND.MDCY(KC,2).EQ.0) GOTO 270
+ CALL LYNAME(-KF,CHAN)
+ PM=UYMASS(KF)
+ WRITE(MSTU(11),6900) KF,KC,CHAP,CHAN,KCHG(KC,1),KCHG(KC,2),
+ & KCHG(KC,3),PM,PMAS(KC,2),PMAS(KC,3),PMAS(KC,4),MDCY(KC,1)
+
+C...Particle decay: channel number, branching ration, matrix element,
+C...decay products.
+ IF(KF.GT.100.AND.KC.LE.100) GOTO 270
+ DO 260 IDC=MDCY(KC,2),MDCY(KC,2)+MDCY(KC,3)-1
+ DO 250 J=1,5
+ CALL LYNAME(KFDP(IDC,J),CHAD(J))
+ 250 CONTINUE
+ WRITE(MSTU(11),7000) IDC,MDME(IDC,1),MDME(IDC,2),BRAT(IDC),
+ & (CHAD(J),J=1,5)
+ 260 CONTINUE
+ 270 CONTINUE
+ MSTJ(24)=MSTJ24
+
+C...List parameter value table.
+ ELSEIF(MLIST.EQ.13) THEN
+ WRITE(MSTU(11),7100)
+ DO 280 I=1,200
+ WRITE(MSTU(11),7200) I,MSTU(I),PARU(I),MSTJ(I),PARJ(I),PARF(I)
+ 280 CONTINUE
+ ENDIF
+
+C...Format statements for output on unit MSTU(11) (by default 6).
+ 5100 FORMAT(///28X,'Event listing (summary)'//4X,'I particle/jet KS',
+ &5X,'KF orig p_x p_y p_z E m'/)
+ 5200 FORMAT(///28X,'Event listing (standard)'//4X,'I particle/jet',
+ &' K(I,1) K(I,2) K(I,3) K(I,4) K(I,5) P(I,1)',
+ &' P(I,2) P(I,3) P(I,4) P(I,5)'/)
+ 5300 FORMAT(///28X,'Event listing (with vertices)'//4X,'I particle/j',
+ &'et K(I,1) K(I,2) K(I,3) K(I,4) K(I,5) P(I,1)',
+ &' P(I,2) P(I,3) P(I,4) P(I,5)'/73X,
+ &'V(I,1) V(I,2) V(I,3) V(I,4) V(I,5)'/)
+ 5400 FORMAT(1X,I4,2X,A12,1X,I2,1X,I6,1X,I4,5F9.3)
+ 5500 FORMAT(1X,I4,2X,A12,1X,I2,1X,I6,1X,I4,5F9.2)
+ 5600 FORMAT(1X,I4,2X,A12,1X,I2,1X,I6,1X,I4,5F9.1)
+ 5700 FORMAT(1X,I4,2X,A16,1X,I3,1X,I8,2X,I4,2(3X,I1,2I4),5F13.5)
+ 5800 FORMAT(1X,I4,2X,A16,1X,I3,1X,I8,2X,I4,2(3X,I9),5F13.5)
+ 5900 FORMAT(66X,5(1X,F12.3))
+ 6000 FORMAT(1X,78('='))
+ 6100 FORMAT(1X,130('='))
+ 6200 FORMAT(19X,'sum:',F6.2,5X,5F9.3)
+ 6300 FORMAT(19X,'sum:',F6.2,5X,5F9.2)
+ 6400 FORMAT(19X,'sum:',F6.2,5X,5F9.1)
+ 6500 FORMAT(19X,'sum charge:',F6.2,3X,'sum momentum and inv. mass:',
+ &5F13.5)
+ 6600 FORMAT(///20X,'List of KF codes in program'/)
+ 6700 FORMAT(4X,I6,4X,A16,6X,I6,4X,A16)
+ 6800 FORMAT(///30X,'Particle/parton data table'//5X,'KF',5X,'KC',4X,
+ &'particle',8X,'antiparticle',6X,'chg col anti',8X,'mass',7X,
+ &'width',7X,'w-cut',5X,'lifetime',1X,'decay'/11X,'IDC',1X,'on/off',
+ &1X,'ME',3X,'Br.rat.',4X,'decay products')
+ 6900 FORMAT(/1X,I6,3X,I4,4X,A16,A16,3I5,1X,F12.5,2(1X,F11.5),
+ &2X,F12.5,3X,I2)
+ 7000 FORMAT(10X,I4,2X,I3,2X,I3,2X,F8.5,4X,5A16)
+ 7100 FORMAT(///20X,'Parameter value table'//4X,'I',3X,'MSTU(I)',
+ &8X,'PARU(I)',3X,'MSTJ(I)',8X,'PARJ(I)',8X,'PARF(I)')
+ 7200 FORMAT(1X,I4,1X,I9,1X,F14.5,1X,I9,1X,F14.5,1X,F14.5)
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYLOGO
+
+C...Purpose: to write logo for JETSET and PYTHIA programs.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+c DOUBLE PRECISION PARP,PARI
+c COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200)
+ SAVE /LYDAT1/
+c SAVE /PYPARS/
+ CHARACTER MONTH(12)*3, LOGO(48)*32, REFER(22)*36, LINE*79,
+ &VERS*1, SUBV*3, DATE*2, YEAR*4
+
+C...Data on months, logo, titles, and references.
+ DATA MONTH/'Jan','Feb','Mar','Apr','May','Jun','Jul','Aug','Sep',
+ &'Oct','Nov','Dec'/
+ DATA (LOGO(J),J=1,10)/
+ &'PPP Y Y TTTTT H H III A ',
+ &'P P Y Y T H H I A A ',
+ &'PPP Y T HHHHH I AAAAA',
+ &'P Y T H H I A A',
+ &'P Y T H H III A A',
+ &'JJJJ EEEE TTTTT SSS EEEE TTTTT',
+ &' J E T S E T ',
+ &' J EEE T SSS EEE T ',
+ &'J J E T S E T ',
+ &' JJ EEEE T SSS EEEE T '/
+ DATA (LOGO(J),J=11,29)/
+ &' *......* ',
+ &' *:::!!:::::::::::* ',
+ &' *::::::!!::::::::::::::* ',
+ &' *::::::::!!::::::::::::::::* ',
+ &' *:::::::::!!:::::::::::::::::* ',
+ &' *:::::::::!!:::::::::::::::::* ',
+ &' *::::::::!!::::::::::::::::*! ',
+ &' *::::::!!::::::::::::::* !! ',
+ &' !! *:::!!:::::::::::* !! ',
+ &' !! !* -><- * !! ',
+ &' !! !! !! ',
+ &' !! !! !! ',
+ &' !! !! ',
+ &' !! ep !! ',
+ &' !! !! ',
+ &' !! pp !! ',
+ &' !! e+e- !! ',
+ &' !! !! ',
+ &' !! '/
+ DATA (LOGO(J),J=30,48)/
+ &'Welcome to the Lund Monte Carlo!',
+ &' ',
+ &' This jetset version x.xxx ',
+ &'can coexist with xx xxx 199x',
+ &' PYTHIA !!! ',
+ &' it was altered by fkw x.xxx ',
+ &' on 3.29.00 xx xxx 199x',
+ &' to this effect !!! ',
+ &' Main author: ',
+ &' Torbjorn Sjostrand ',
+ &' Dept. of theoretical physics 2 ',
+ &' University of Lund ',
+ &' Solvegatan 14A ',
+ &' S-223 62 Lund, Sweden ',
+ &' phone: +46 - 46 - 222 48 16 ',
+ &' E-mail: torbjorn@thep.lu.se ',
+ &' ',
+ &' Copyright Torbjorn Sjostrand ',
+ &' and CERN, Geneva 1993 '/
+ DATA (REFER(J),J=1,6)/
+ &'The latest program versions and docu',
+ &'mentation is found on WWW address ',
+ &'http://thep.lu.se/tf2/staff/torbjorn',
+ &'/Welcome.html ',
+ &' ',
+ &' This is fkw version !!! '/
+ DATA (REFER(J),J=7,22)/
+ &'When you cite these programs, priori',
+ &'ty should always be given to the ',
+ &'latest published description. Curren',
+ &'tly this is ',
+ &'T. Sjostrand, Computer Physics Commu',
+ &'n. 82 (1994) 74. ',
+ &'The most recent long description (un',
+ &'published) is ',
+ &'T. Sjostrand, LU TP 95-20 and CERN-T',
+ &'H.7112/93 (revised August 1995). ',
+ &'Also remember that the programs, to ',
+ &'a large extent, represent original ',
+ &'physics research. Other publications',
+ &' of special relevance to your ',
+ &'studies may therefore deserve separa',
+ &'te mention. '/
+
+C...Check if PYTHIA linked.
+c IF(MSTP(183)/10.NE.199) THEN
+ LOGO(32)=' Warning: this is jetset7.4_fkw '
+ LOGO(33)='All refs to pythia were excised!'
+c ELSE
+c WRITE(VERS,'(I1)') MSTP(181)
+c LOGO(32)(26:26)=VERS
+c WRITE(SUBV,'(I3)') MSTP(182)
+c LOGO(32)(28:30)=SUBV
+c WRITE(DATE,'(I2)') MSTP(185)
+c LOGO(33)(22:23)=DATE
+c LOGO(33)(25:27)=MONTH(MSTP(184))
+c WRITE(YEAR,'(I4)') MSTP(183)
+c LOGO(33)(29:32)=YEAR
+c ENDIF
+
+C...Check if JETSET linked.
+ IF(MSTU(183)/10.NE.199) THEN
+ LOGO(35)=' Error: JETSET is not loaded! '
+ LOGO(36)='Did you remember to link LYDATA?'
+ ELSE
+ WRITE(VERS,'(I1)') MSTU(181)
+ LOGO(35)(26:26)=VERS
+ WRITE(SUBV,'(I3)') MSTU(182)
+ LOGO(35)(28:30)=SUBV
+ WRITE(DATE,'(I2)') MSTU(185)
+ LOGO(36)(22:23)=DATE
+ LOGO(36)(25:27)=MONTH(MSTU(184))
+ WRITE(YEAR,'(I4)') MSTU(183)
+ LOGO(36)(29:32)=YEAR
+ ENDIF
+
+C...Loop over lines in header. Define page feed and side borders.
+ DO 100 ILIN=1,48
+ LINE=' '
+ IF(ILIN.EQ.1) THEN
+ LINE(1:1)='1'
+ ELSE
+ LINE(2:3)='**'
+ LINE(78:79)='**'
+ ENDIF
+
+C...Separator lines and logos.
+ IF(ILIN.EQ.2.OR.ILIN.EQ.3.OR.ILIN.EQ.47.OR.ILIN.EQ.48) THEN
+ LINE(4:77)='***********************************************'//
+ & '***************************'
+ ELSEIF(ILIN.GE.6.AND.ILIN.LE.10) THEN
+ LINE(6:37)=LOGO(ILIN-5)
+ LINE(44:75)=LOGO(ILIN)
+ ELSEIF(ILIN.GE.13.AND.ILIN.LE.31) THEN
+ LINE(6:37)=LOGO(ILIN-2)
+ LINE(44:75)=LOGO(ILIN+17)
+ ELSEIF(ILIN.GE.34.AND.ILIN.LE.44) THEN
+ LINE(5:40)=REFER(2*ILIN-67)
+ LINE(41:76)=REFER(2*ILIN-66)
+ ENDIF
+
+C...Write lines to appropriate unit.
+ IF(MSTU(183)/10.EQ.199) THEN
+ WRITE(MSTU(11),'(A79)') LINE
+ ELSE
+ WRITE(*,'(A79)') LINE
+ ENDIF
+ 100 CONTINUE
+
+C...Check that matching subversions are linked.
+c IF(MSTU(183)/10.EQ.199.AND.MSTP(183)/10.EQ.199) THEN
+c IF(MSTU(182).LT.MSTP(186)) WRITE(MSTU(11),
+ WRITE(MSTU(11),
+ & '(/'' Warning: Jetset7.4_fkw independent of PYTHIA!''/)')
+c IF(MSTP(182).LT.MSTU(186)) WRITE(MSTU(11),
+c & '(/'' Warning: PYTHIA subversion too old for JETSET''/)')
+c ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYUPDA(MUPDA,LFN)
+
+C...Purpose: to facilitate the updating of particle and decay data.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ COMMON/LYDAT4/CHAF(500)
+ CHARACTER CHAF*8
+ SAVE /LYDAT1/,/LYDAT2/,/LYDAT3/,/LYDAT4/
+ CHARACTER CHINL*80,CHKC*4,CHVAR(19)*9,CHLIN*72,
+ &CHBLK(20)*72,CHOLD*12,CHTMP*12,CHNEW*12,CHCOM*12
+ DATA CHVAR/ 'KCHG(I,1)','KCHG(I,2)','KCHG(I,3)','PMAS(I,1)',
+ &'PMAS(I,2)','PMAS(I,3)','PMAS(I,4)','MDCY(I,1)','MDCY(I,2)',
+ &'MDCY(I,3)','MDME(I,1)','MDME(I,2)','BRAT(I) ','KFDP(I,1)',
+ &'KFDP(I,2)','KFDP(I,3)','KFDP(I,4)','KFDP(I,5)','CHAF(I) '/
+
+C...Write information on file for editing.
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ IF(MUPDA.EQ.1) THEN
+ DO 110 KC=1,MSTU(6)
+ WRITE(LFN,5000) KC,CHAF(KC),(KCHG(KC,J1),J1=1,3),
+ & (PMAS(KC,J2),J2=1,4),MDCY(KC,1)
+ DO 100 IDC=MDCY(KC,2),MDCY(KC,2)+MDCY(KC,3)-1
+ WRITE(LFN,5100) MDME(IDC,1),MDME(IDC,2),BRAT(IDC),
+ & (KFDP(IDC,J),J=1,5)
+ 100 CONTINUE
+ 110 CONTINUE
+
+C...Reset variables and read information from edited file.
+ ELSEIF(MUPDA.EQ.2) THEN
+ DO 130 I=1,MSTU(7)
+ MDME(I,1)=1
+ MDME(I,2)=0
+ BRAT(I)=0.
+ DO 120 J=1,5
+ KFDP(I,J)=0
+ 120 CONTINUE
+ 130 CONTINUE
+ KC=0
+ IDC=0
+ NDC=0
+ 140 READ(LFN,5200,END=150) CHINL
+ IF(CHINL(2:5).NE.' ') THEN
+ CHKC=CHINL(2:5)
+ IF(KC.NE.0) THEN
+ MDCY(KC,2)=0
+ IF(NDC.NE.0) MDCY(KC,2)=IDC+1-NDC
+ MDCY(KC,3)=NDC
+ ENDIF
+ READ(CHKC,5300) KC
+ IF(KC.LE.0.OR.KC.GT.MSTU(6)) CALL LYERRM(27,
+ & '(LYUPDA:) Read KC code illegal, KC ='//CHKC)
+ READ(CHINL,5000) KCR,CHAF(KC),(KCHG(KC,J1),J1=1,3),
+ & (PMAS(KC,J2),J2=1,4),MDCY(KC,1)
+ NDC=0
+ ELSE
+ IDC=IDC+1
+ NDC=NDC+1
+ IF(IDC.GE.MSTU(7)) CALL LYERRM(27,
+ & '(LYUPDA:) Decay data arrays full by KC ='//CHKC)
+ READ(CHINL,5100) MDME(IDC,1),MDME(IDC,2),BRAT(IDC),
+ & (KFDP(IDC,J),J=1,5)
+ ENDIF
+ GOTO 140
+ 150 MDCY(KC,2)=0
+ IF(NDC.NE.0) MDCY(KC,2)=IDC+1-NDC
+ MDCY(KC,3)=NDC
+
+C...Perform possible tests that new information is consistent.
+ MSTJ24=MSTJ(24)
+ MSTJ(24)=0
+ DO 180 KC=1,MSTU(6)
+ WRITE(CHKC,5300) KC
+ IF(MIN(PMAS(KC,1),PMAS(KC,2),PMAS(KC,3),PMAS(KC,1)-PMAS(KC,3),
+ & PMAS(KC,4)).LT.0..OR.MDCY(KC,3).LT.0) CALL LYERRM(17,
+ & '(LYUPDA:) Mass/width/life/(# channels) wrong for KC ='//CHKC)
+ BRSUM=0.
+ DO 170 IDC=MDCY(KC,2),MDCY(KC,2)+MDCY(KC,3)-1
+ IF(MDME(IDC,2).GT.80) GOTO 170
+ KQ=KCHG(KC,1)
+ PMS=PMAS(KC,1)-PMAS(KC,3)-PARJ(64)
+ MERR=0
+ DO 160 J=1,5
+ KP=KFDP(IDC,J)
+ IF(KP.EQ.0.OR.KP.EQ.81.OR.IABS(KP).EQ.82) THEN
+ ELSEIF(LYCOMP(KP).EQ.0) THEN
+ MERR=3
+ ELSE
+ KQ=KQ-LYCHGE(KP)
+ PMS=PMS-UYMASS(KP)
+ ENDIF
+ 160 CONTINUE
+ IF(KQ.NE.0) MERR=MAX(2,MERR)
+ IF(KFDP(IDC,2).NE.0.AND.(KC.LE.20.OR.KC.GT.40).AND.
+ & (KC.LE.80.OR.KC.GT.100).AND.MDME(IDC,2).NE.34.AND.
+ & MDME(IDC,2).NE.61.AND.PMS.LT.0.) MERR=MAX(1,MERR)
+ IF(MERR.EQ.3) CALL LYERRM(17,
+ & '(LYUPDA:) Unknown particle code in decay of KC ='//CHKC)
+ IF(MERR.EQ.2) CALL LYERRM(17,
+ & '(LYUPDA:) Charge not conserved in decay of KC ='//CHKC)
+ IF(MERR.EQ.1) CALL LYERRM(7,
+ & '(LYUPDA:) Kinematically unallowed decay of KC ='//CHKC)
+ BRSUM=BRSUM+BRAT(IDC)
+ 170 CONTINUE
+ WRITE(CHTMP,5500) BRSUM
+ IF(ABS(BRSUM).GT.0.0005.AND.ABS(BRSUM-1.).GT.0.0005) CALL
+ & LYERRM(7,'(LYUPDA:) Sum of branching ratios is '//CHTMP(5:12)//
+ & ' for KC ='//CHKC)
+ 180 CONTINUE
+ MSTJ(24)=MSTJ24
+
+C...Initialize writing of DATA statements for inclusion in program.
+ ELSEIF(MUPDA.EQ.3) THEN
+ DO 250 IVAR=1,19
+ NDIM=MSTU(6)
+ IF(IVAR.GE.11.AND.IVAR.LE.18) NDIM=MSTU(7)
+ NLIN=1
+ CHLIN=' '
+ CHLIN(7:35)='DATA ('//CHVAR(IVAR)//',I= 1, )/'
+ LLIN=35
+ CHOLD='START'
+
+C...Loop through variables for conversion to characters.
+ DO 230 IDIM=1,NDIM
+ IF(IVAR.EQ.1) WRITE(CHTMP,5400) KCHG(IDIM,1)
+ IF(IVAR.EQ.2) WRITE(CHTMP,5400) KCHG(IDIM,2)
+ IF(IVAR.EQ.3) WRITE(CHTMP,5400) KCHG(IDIM,3)
+ IF(IVAR.EQ.4) WRITE(CHTMP,5500) PMAS(IDIM,1)
+ IF(IVAR.EQ.5) WRITE(CHTMP,5500) PMAS(IDIM,2)
+ IF(IVAR.EQ.6) WRITE(CHTMP,5500) PMAS(IDIM,3)
+ IF(IVAR.EQ.7) WRITE(CHTMP,5500) PMAS(IDIM,4)
+ IF(IVAR.EQ.8) WRITE(CHTMP,5400) MDCY(IDIM,1)
+ IF(IVAR.EQ.9) WRITE(CHTMP,5400) MDCY(IDIM,2)
+ IF(IVAR.EQ.10) WRITE(CHTMP,5400) MDCY(IDIM,3)
+ IF(IVAR.EQ.11) WRITE(CHTMP,5400) MDME(IDIM,1)
+ IF(IVAR.EQ.12) WRITE(CHTMP,5400) MDME(IDIM,2)
+ IF(IVAR.EQ.13) WRITE(CHTMP,5500) BRAT(IDIM)
+ IF(IVAR.EQ.14) WRITE(CHTMP,5400) KFDP(IDIM,1)
+ IF(IVAR.EQ.15) WRITE(CHTMP,5400) KFDP(IDIM,2)
+ IF(IVAR.EQ.16) WRITE(CHTMP,5400) KFDP(IDIM,3)
+ IF(IVAR.EQ.17) WRITE(CHTMP,5400) KFDP(IDIM,4)
+ IF(IVAR.EQ.18) WRITE(CHTMP,5400) KFDP(IDIM,5)
+ IF(IVAR.EQ.19) CHTMP=CHAF(IDIM)
+
+C...Length of variable, trailing decimal zeros, quotation marks.
+ LLOW=1
+ LHIG=1
+ DO 190 LL=1,12
+ IF(CHTMP(13-LL:13-LL).NE.' ') LLOW=13-LL
+ IF(CHTMP(LL:LL).NE.' ') LHIG=LL
+ 190 CONTINUE
+ CHNEW=CHTMP(LLOW:LHIG)//' '
+ LNEW=1+LHIG-LLOW
+ IF((IVAR.GE.4.AND.IVAR.LE.7).OR.IVAR.EQ.13) THEN
+ LNEW=LNEW+1
+ 200 LNEW=LNEW-1
+ IF(CHNEW(LNEW:LNEW).EQ.'0') GOTO 200
+ IF(LNEW.EQ.1) CHNEW(1:2)='0.'
+ IF(LNEW.EQ.1) LNEW=2
+ ELSEIF(IVAR.EQ.19) THEN
+ DO 210 LL=LNEW,1,-1
+ IF(CHNEW(LL:LL).EQ.'''') THEN
+ CHTMP=CHNEW
+ CHNEW=CHTMP(1:LL)//''''//CHTMP(LL+1:11)
+ LNEW=LNEW+1
+ ENDIF
+ 210 CONTINUE
+ CHTMP=CHNEW
+ CHNEW(1:LNEW+2)=''''//CHTMP(1:LNEW)//''''
+ LNEW=LNEW+2
+ ENDIF
+
+C...Form composite character string, often including repetition counter.
+ IF(CHNEW.NE.CHOLD) THEN
+ NRPT=1
+ CHOLD=CHNEW
+ CHCOM=CHNEW
+ LCOM=LNEW
+ ELSE
+ LRPT=LNEW+1
+ IF(NRPT.GE.2) LRPT=LNEW+3
+ IF(NRPT.GE.10) LRPT=LNEW+4
+ IF(NRPT.GE.100) LRPT=LNEW+5
+ IF(NRPT.GE.1000) LRPT=LNEW+6
+ LLIN=LLIN-LRPT
+ NRPT=NRPT+1
+ WRITE(CHTMP,5400) NRPT
+ LRPT=1
+ IF(NRPT.GE.10) LRPT=2
+ IF(NRPT.GE.100) LRPT=3
+ IF(NRPT.GE.1000) LRPT=4
+ CHCOM(1:LRPT+1+LNEW)=CHTMP(13-LRPT:12)//'*'//CHNEW(1:LNEW)
+ LCOM=LRPT+1+LNEW
+ ENDIF
+
+C...Add characters to end of line, to new line (after storing old line),
+C...or to new block of lines (after writing old block).
+ IF(LLIN+LCOM.LE.70) THEN
+ CHLIN(LLIN+1:LLIN+LCOM+1)=CHCOM(1:LCOM)//','
+ LLIN=LLIN+LCOM+1
+ ELSEIF(NLIN.LE.19) THEN
+ CHLIN(LLIN+1:72)=' '
+ CHBLK(NLIN)=CHLIN
+ NLIN=NLIN+1
+ CHLIN(6:6+LCOM+1)='&'//CHCOM(1:LCOM)//','
+ LLIN=6+LCOM+1
+ ELSE
+ CHLIN(LLIN:72)='/'//' '
+ CHBLK(NLIN)=CHLIN
+ WRITE(CHTMP,5400) IDIM-NRPT
+ CHBLK(1)(30:33)=CHTMP(9:12)
+ DO 220 ILIN=1,NLIN
+ WRITE(LFN,5600) CHBLK(ILIN)
+ 220 CONTINUE
+ NLIN=1
+ CHLIN=' '
+ CHLIN(7:35+LCOM+1)='DATA ('//CHVAR(IVAR)//',I= , )/'//
+ & CHCOM(1:LCOM)//','
+ WRITE(CHTMP,5400) IDIM-NRPT+1
+ CHLIN(25:28)=CHTMP(9:12)
+ LLIN=35+LCOM+1
+ ENDIF
+ 230 CONTINUE
+
+C...Write final block of lines.
+ CHLIN(LLIN:72)='/'//' '
+ CHBLK(NLIN)=CHLIN
+ WRITE(CHTMP,5400) NDIM
+ CHBLK(1)(30:33)=CHTMP(9:12)
+ DO 240 ILIN=1,NLIN
+ WRITE(LFN,5600) CHBLK(ILIN)
+ 240 CONTINUE
+ 250 CONTINUE
+ ENDIF
+
+C...Formats for reading and writing particle data.
+ 5000 FORMAT(1X,I4,2X,A8,3I3,3F12.5,2X,F12.5,I3)
+ 5100 FORMAT(5X,2I5,F12.5,5I8)
+ 5200 FORMAT(A80)
+ 5300 FORMAT(I4)
+ 5400 FORMAT(I12)
+ 5500 FORMAT(F12.5)
+ 5600 FORMAT(A72)
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ FUNCTION KLY(I,J)
+
+C...Purpose: to provide various integer-valued event related data.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Default value. For I=0 number of entries, number of stable entries
+C...or 3 times total charge.
+ KLY=0
+ IF(I.LT.0.OR.I.GT.MSTU(4).OR.J.LE.0) THEN
+ ELSEIF(I.EQ.0.AND.J.EQ.1) THEN
+ KLY=N
+ ELSEIF(I.EQ.0.AND.(J.EQ.2.OR.J.EQ.6)) THEN
+ DO 100 I1=1,N
+ IF(J.EQ.2.AND.K(I1,1).GE.1.AND.K(I1,1).LE.10) KLY=KLY+1
+ IF(J.EQ.6.AND.K(I1,1).GE.1.AND.K(I1,1).LE.10) KLY=KLY+
+ & LYCHGE(K(I1,2))
+ 100 CONTINUE
+ ELSEIF(I.EQ.0) THEN
+
+C...For I > 0 direct readout of K matrix or charge.
+ ELSEIF(J.LE.5) THEN
+ KLY=K(I,J)
+ ELSEIF(J.EQ.6) THEN
+ KLY=LYCHGE(K(I,2))
+
+C...Status (existing/fragmented/decayed), parton/hadron separation.
+ ELSEIF(J.LE.8) THEN
+ IF(K(I,1).GE.1.AND.K(I,1).LE.10) KLY=1
+ IF(J.EQ.8) KLY=KLY*K(I,2)
+ ELSEIF(J.LE.12) THEN
+ KFA=IABS(K(I,2))
+ KC=LYCOMP(KFA)
+ KQ=0
+ IF(KC.NE.0) KQ=KCHG(KC,2)
+ IF(J.EQ.9.AND.KC.NE.0.AND.KQ.NE.0) KLY=K(I,2)
+ IF(J.EQ.10.AND.KC.NE.0.AND.KQ.EQ.0) KLY=K(I,2)
+ IF(J.EQ.11) KLY=KC
+ IF(J.EQ.12) KLY=KQ*ISIGN(1,K(I,2))
+
+C...Heaviest flavour in hadron/diquark.
+ ELSEIF(J.EQ.13) THEN
+ KFA=IABS(K(I,2))
+ KLY=MOD(KFA/100,10)*(-1)**MOD(KFA/100,10)
+ IF(KFA.LT.10) KLY=KFA
+ IF(MOD(KFA/1000,10).NE.0) KLY=MOD(KFA/1000,10)
+ KLY=KLY*ISIGN(1,K(I,2))
+
+C...Particle history: generation, ancestor, rank.
+ ELSEIF(J.LE.15) THEN
+ I2=I
+ I1=I
+ 110 KLY=KLY+1
+ I2=I1
+ I1=K(I1,3)
+ IF(I1.GT.0.AND.K(I1,1).GT.0.AND.K(I1,1).LE.20) GOTO 110
+ IF(J.EQ.15) KLY=I2
+ ELSEIF(J.EQ.16) THEN
+ KFA=IABS(K(I,2))
+ IF(K(I,1).LE.20.AND.((KFA.GE.11.AND.KFA.LE.20).OR.KFA.EQ.22.OR.
+ & (KFA.GT.100.AND.MOD(KFA/10,10).NE.0))) THEN
+ I1=I
+ 120 I2=I1
+ I1=K(I1,3)
+ IF(I1.GT.0) THEN
+ KFAM=IABS(K(I1,2))
+ ILP=1
+ IF(KFAM.NE.0.AND.KFAM.LE.10) ILP=0
+ IF(KFAM.EQ.21.OR.KFAM.EQ.91.OR.KFAM.EQ.92.OR.KFAM.EQ.93)
+ & ILP=0
+ IF(KFAM.GT.100.AND.MOD(KFAM/10,10).EQ.0) ILP=0
+ IF(ILP.EQ.1) GOTO 120
+ ENDIF
+ IF(K(I1,1).EQ.12) THEN
+ DO 130 I3=I1+1,I2
+ IF(K(I3,3).EQ.K(I2,3).AND.K(I3,2).NE.91.AND.K(I3,2).NE.92
+ & .AND.K(I3,2).NE.93) KLY=KLY+1
+ 130 CONTINUE
+ ELSE
+ I3=I2
+ 140 KLY=KLY+1
+ I3=I3+1
+ IF(I3.LT.N.AND.K(I3,3).EQ.K(I2,3)) GOTO 140
+ ENDIF
+ ENDIF
+
+C...Particle coming from collapsing jet system or not.
+ ELSEIF(J.EQ.17) THEN
+ I1=I
+ 150 KLY=KLY+1
+ I3=I1
+ I1=K(I1,3)
+ I0=MAX(1,I1)
+ KC=LYCOMP(K(I0,2))
+ IF(I1.EQ.0.OR.K(I0,1).LE.0.OR.K(I0,1).GT.20.OR.KC.EQ.0) THEN
+ IF(KLY.EQ.1) KLY=-1
+ IF(KLY.GT.1) KLY=0
+ RETURN
+ ENDIF
+ IF(KCHG(KC,2).EQ.0) GOTO 150
+ IF(K(I1,1).NE.12) KLY=0
+ IF(K(I1,1).NE.12) RETURN
+ I2=I1
+ 160 I2=I2+1
+ IF(I2.LT.N.AND.K(I2,1).NE.11) GOTO 160
+ K3M=K(I3-1,3)
+ IF(K3M.GE.I1.AND.K3M.LE.I2) KLY=0
+ K3P=K(I3+1,3)
+ IF(I3.LT.N.AND.K3P.GE.I1.AND.K3P.LE.I2) KLY=0
+
+C...Number of decay products. Colour flow.
+ ELSEIF(J.EQ.18) THEN
+ IF(K(I,1).EQ.11.OR.K(I,1).EQ.12) KLY=MAX(0,K(I,5)-K(I,4)+1)
+ IF(K(I,4).EQ.0.OR.K(I,5).EQ.0) KLY=0
+ ELSEIF(J.LE.22) THEN
+ IF(K(I,1).NE.3.AND.K(I,1).NE.13.AND.K(I,1).NE.14) RETURN
+ IF(J.EQ.19) KLY=MOD(K(I,4)/MSTU(5),MSTU(5))
+ IF(J.EQ.20) KLY=MOD(K(I,5)/MSTU(5),MSTU(5))
+ IF(J.EQ.21) KLY=MOD(K(I,4),MSTU(5))
+ IF(J.EQ.22) KLY=MOD(K(I,5),MSTU(5))
+ ELSE
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ FUNCTION PLY(I,J)
+
+C...Purpose: to provide various real-valued event related data.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION PSUM(4)
+
+C...Set default value. For I = 0 sum of momenta or charges,
+C...or invariant mass of system.
+ PLY=0.
+ IF(I.LT.0.OR.I.GT.MSTU(4).OR.J.LE.0) THEN
+ ELSEIF(I.EQ.0.AND.J.LE.4) THEN
+ DO 100 I1=1,N
+ IF(K(I1,1).GT.0.AND.K(I1,1).LE.10) PLY=PLY+P(I1,J)
+ 100 CONTINUE
+ ELSEIF(I.EQ.0.AND.J.EQ.5) THEN
+ DO 120 J1=1,4
+ PSUM(J1)=0.
+ DO 110 I1=1,N
+ IF(K(I1,1).GT.0.AND.K(I1,1).LE.10) PSUM(J1)=PSUM(J1)+P(I1,J1)
+ 110 CONTINUE
+ 120 CONTINUE
+ PLY=SQRT(MAX(0.,PSUM(4)**2-PSUM(1)**2-PSUM(2)**2-PSUM(3)**2))
+ ELSEIF(I.EQ.0.AND.J.EQ.6) THEN
+ DO 130 I1=1,N
+ IF(K(I1,1).GT.0.AND.K(I1,1).LE.10) PLY=PLY+LYCHGE(K(I1,2))/3.
+ 130 CONTINUE
+ ELSEIF(I.EQ.0) THEN
+
+C...Direct readout of P matrix.
+ ELSEIF(J.LE.5) THEN
+ PLY=P(I,J)
+
+C...Charge, total momentum, transverse momentum, transverse mass.
+ ELSEIF(J.LE.12) THEN
+ IF(J.EQ.6) PLY=LYCHGE(K(I,2))/3.
+ IF(J.EQ.7.OR.J.EQ.8) PLY=P(I,1)**2+P(I,2)**2+P(I,3)**2
+ IF(J.EQ.9.OR.J.EQ.10) PLY=P(I,1)**2+P(I,2)**2
+ IF(J.EQ.11.OR.J.EQ.12) PLY=P(I,5)**2+P(I,1)**2+P(I,2)**2
+ IF(J.EQ.8.OR.J.EQ.10.OR.J.EQ.12) PLY=SQRT(PLY)
+
+C...Theta and phi angle in radians or degrees.
+ ELSEIF(J.LE.16) THEN
+ IF(J.LE.14) PLY=UYANGL(P(I,3),SQRT(P(I,1)**2+P(I,2)**2))
+ IF(J.GE.15) PLY=UYANGL(P(I,1),P(I,2))
+ IF(J.EQ.14.OR.J.EQ.16) PLY=PLY*180./PARU(1)
+
+C...True rapidity, rapidity with pion mass, pseudorapidity.
+ ELSEIF(J.LE.19) THEN
+ PMR=0.
+ IF(J.EQ.17) PMR=P(I,5)
+ IF(J.EQ.18) PMR=UYMASS(211)
+ PR=MAX(1E-20,PMR**2+P(I,1)**2+P(I,2)**2)
+ PLY=SIGN(LOG(MIN((SQRT(PR+P(I,3)**2)+ABS(P(I,3)))/SQRT(PR),
+ & 1E20)),P(I,3))
+
+C...Energy and momentum fractions (only to be used in CM frame).
+ ELSEIF(J.LE.25) THEN
+ IF(J.EQ.20) PLY=2.*SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2)/PARU(21)
+ IF(J.EQ.21) PLY=2.*P(I,3)/PARU(21)
+ IF(J.EQ.22) PLY=2.*SQRT(P(I,1)**2+P(I,2)**2)/PARU(21)
+ IF(J.EQ.23) PLY=2.*P(I,4)/PARU(21)
+ IF(J.EQ.24) PLY=(P(I,4)+P(I,3))/PARU(21)
+ IF(J.EQ.25) PLY=(P(I,4)-P(I,3))/PARU(21)
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYSPHE(SPH,APL)
+
+C...Purpose: to perform sphericity tensor analysis to give sphericity,
+C...aplanarity and the related event axes.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION SM(3,3),SV(3,3)
+
+C...Calculate matrix to be diagonalized.
+ NP=0
+ DO 110 J1=1,3
+ DO 100 J2=J1,3
+ SM(J1,J2)=0.
+ 100 CONTINUE
+ 110 CONTINUE
+ PS=0.
+ DO 140 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 140
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 140
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 140
+ ENDIF
+ NP=NP+1
+ PA=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ PWT=1.
+ IF(ABS(PARU(41)-2.).GT.0.001) PWT=MAX(1E-10,PA)**(PARU(41)-2.)
+ DO 130 J1=1,3
+ DO 120 J2=J1,3
+ SM(J1,J2)=SM(J1,J2)+PWT*P(I,J1)*P(I,J2)
+ 120 CONTINUE
+ 130 CONTINUE
+ PS=PS+PWT*PA**2
+ 140 CONTINUE
+
+C...Very low multiplicities (0 or 1) not considered.
+ IF(NP.LE.1) THEN
+ CALL LYERRM(8,'(LYSPHE:) too few particles for analysis')
+ SPH=-1.
+ APL=-1.
+ RETURN
+ ENDIF
+ DO 160 J1=1,3
+ DO 150 J2=J1,3
+ SM(J1,J2)=SM(J1,J2)/PS
+ 150 CONTINUE
+ 160 CONTINUE
+
+C...Find eigenvalues to matrix (third degree equation).
+ SQ=(SM(1,1)*SM(2,2)+SM(1,1)*SM(3,3)+SM(2,2)*SM(3,3)-SM(1,2)**2-
+ &SM(1,3)**2-SM(2,3)**2)/3.-1./9.
+ SR=-0.5*(SQ+1./9.+SM(1,1)*SM(2,3)**2+SM(2,2)*SM(1,3)**2+SM(3,3)*
+ &SM(1,2)**2-SM(1,1)*SM(2,2)*SM(3,3))+SM(1,2)*SM(1,3)*SM(2,3)+1./27.
+ SP=COS(ACOS(MAX(MIN(SR/SQRT(-SQ**3),1.),-1.))/3.)
+ P(N+1,4)=1./3.+SQRT(-SQ)*MAX(2.*SP,SQRT(3.*(1.-SP**2))-SP)
+ P(N+3,4)=1./3.+SQRT(-SQ)*MIN(2.*SP,-SQRT(3.*(1.-SP**2))-SP)
+ P(N+2,4)=1.-P(N+1,4)-P(N+3,4)
+ IF(P(N+2,4).LT.1E-5) THEN
+ CALL LYERRM(8,'(LYSPHE:) all particles back-to-back')
+ SPH=-1.
+ APL=-1.
+ RETURN
+ ENDIF
+
+C...Find first and last eigenvector by solving equation system.
+ DO 240 I=1,3,2
+ DO 180 J1=1,3
+ SV(J1,J1)=SM(J1,J1)-P(N+I,4)
+ DO 170 J2=J1+1,3
+ SV(J1,J2)=SM(J1,J2)
+ SV(J2,J1)=SM(J1,J2)
+ 170 CONTINUE
+ 180 CONTINUE
+ SMAX=0.
+ DO 200 J1=1,3
+ DO 190 J2=1,3
+ IF(ABS(SV(J1,J2)).LE.SMAX) GOTO 190
+ JA=J1
+ JB=J2
+ SMAX=ABS(SV(J1,J2))
+ 190 CONTINUE
+ 200 CONTINUE
+ SMAX=0.
+ DO 220 J3=JA+1,JA+2
+ J1=J3-3*((J3-1)/3)
+ RL=SV(J1,JB)/SV(JA,JB)
+ DO 210 J2=1,3
+ SV(J1,J2)=SV(J1,J2)-RL*SV(JA,J2)
+ IF(ABS(SV(J1,J2)).LE.SMAX) GOTO 210
+ JC=J1
+ SMAX=ABS(SV(J1,J2))
+ 210 CONTINUE
+ 220 CONTINUE
+ JB1=JB+1-3*(JB/3)
+ JB2=JB+2-3*((JB+1)/3)
+ P(N+I,JB1)=-SV(JC,JB2)
+ P(N+I,JB2)=SV(JC,JB1)
+ P(N+I,JB)=-(SV(JA,JB1)*P(N+I,JB1)+SV(JA,JB2)*P(N+I,JB2))/
+ &SV(JA,JB)
+ PA=SQRT(P(N+I,1)**2+P(N+I,2)**2+P(N+I,3)**2)
+ SGN=(-1.)**INT(RLY(0)+0.5)
+ DO 230 J=1,3
+ P(N+I,J)=SGN*P(N+I,J)/PA
+ 230 CONTINUE
+ 240 CONTINUE
+
+C...Middle axis orthogonal to other two. Fill other codes.
+ SGN=(-1.)**INT(RLY(0)+0.5)
+ P(N+2,1)=SGN*(P(N+1,2)*P(N+3,3)-P(N+1,3)*P(N+3,2))
+ P(N+2,2)=SGN*(P(N+1,3)*P(N+3,1)-P(N+1,1)*P(N+3,3))
+ P(N+2,3)=SGN*(P(N+1,1)*P(N+3,2)-P(N+1,2)*P(N+3,1))
+ DO 260 I=1,3
+ K(N+I,1)=31
+ K(N+I,2)=95
+ K(N+I,3)=I
+ K(N+I,4)=0
+ K(N+I,5)=0
+ P(N+I,5)=0.
+ DO 250 J=1,5
+ V(I,J)=0.
+ 250 CONTINUE
+ 260 CONTINUE
+
+C...Calculate sphericity and aplanarity. Select storing option.
+ SPH=1.5*(P(N+2,4)+P(N+3,4))
+ APL=1.5*P(N+3,4)
+ MSTU(61)=N+1
+ MSTU(62)=NP
+ IF(MSTU(43).LE.1) MSTU(3)=3
+ IF(MSTU(43).GE.2) N=N+3
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYTHRU(THR,OBL)
+
+C...Purpose: to perform thrust analysis to give thrust, oblateness
+C...and the related event axes.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION TDI(3),TPR(3)
+
+C...Take copy of particles that are to be considered in thrust analysis.
+ NP=0
+ PS=0.
+ DO 100 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 100
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 100
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 100
+ ENDIF
+ IF(N+NP+MSTU(44)+15.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYTHRU:) no more memory left in LUJETS')
+ THR=-2.
+ OBL=-2.
+ RETURN
+ ENDIF
+ NP=NP+1
+ K(N+NP,1)=23
+ P(N+NP,1)=P(I,1)
+ P(N+NP,2)=P(I,2)
+ P(N+NP,3)=P(I,3)
+ P(N+NP,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ P(N+NP,5)=1.
+ IF(ABS(PARU(42)-1.).GT.0.001) P(N+NP,5)=P(N+NP,4)**(PARU(42)-1.)
+ PS=PS+P(N+NP,4)*P(N+NP,5)
+ 100 CONTINUE
+
+C...Very low multiplicities (0 or 1) not considered.
+ IF(NP.LE.1) THEN
+ CALL LYERRM(8,'(LYTHRU:) too few particles for analysis')
+ THR=-1.
+ OBL=-1.
+ RETURN
+ ENDIF
+
+C...Loop over thrust and major. T axis along z direction in latter case.
+ DO 320 ILD=1,2
+ IF(ILD.EQ.2) THEN
+ K(N+NP+1,1)=31
+ PHI=UYANGL(P(N+NP+1,1),P(N+NP+1,2))
+ MSTU(33)=1
+ CALL LUDBRB(N+1,N+NP+1,0.,-PHI,0D0,0D0,0D0)
+ THE=UYANGL(P(N+NP+1,3),P(N+NP+1,1))
+ CALL LUDBRB(N+1,N+NP+1,-THE,0.,0D0,0D0,0D0)
+ ENDIF
+
+C...Find and order particles with highest p (pT for major).
+ DO 110 ILF=N+NP+4,N+NP+MSTU(44)+4
+ P(ILF,4)=0.
+ 110 CONTINUE
+ DO 160 I=N+1,N+NP
+ IF(ILD.EQ.2) P(I,4)=SQRT(P(I,1)**2+P(I,2)**2)
+ DO 130 ILF=N+NP+MSTU(44)+3,N+NP+4,-1
+ IF(P(I,4).LE.P(ILF,4)) GOTO 140
+ DO 120 J=1,5
+ P(ILF+1,J)=P(ILF,J)
+ 120 CONTINUE
+ 130 CONTINUE
+ ILF=N+NP+3
+ 140 DO 150 J=1,5
+ P(ILF+1,J)=P(I,J)
+ 150 CONTINUE
+ 160 CONTINUE
+
+C...Find and order initial axes with highest thrust (major).
+ DO 170 ILG=N+NP+MSTU(44)+5,N+NP+MSTU(44)+15
+ P(ILG,4)=0.
+ 170 CONTINUE
+ NC=2**(MIN(MSTU(44),NP)-1)
+ DO 250 ILC=1,NC
+ DO 180 J=1,3
+ TDI(J)=0.
+ 180 CONTINUE
+ DO 200 ILF=1,MIN(MSTU(44),NP)
+ SGN=P(N+NP+ILF+3,5)
+ IF(2**ILF*((ILC+2**(ILF-1)-1)/2**ILF).GE.ILC) SGN=-SGN
+ DO 190 J=1,4-ILD
+ TDI(J)=TDI(J)+SGN*P(N+NP+ILF+3,J)
+ 190 CONTINUE
+ 200 CONTINUE
+ TDS=TDI(1)**2+TDI(2)**2+TDI(3)**2
+ DO 220 ILG=N+NP+MSTU(44)+MIN(ILC,10)+4,N+NP+MSTU(44)+5,-1
+ IF(TDS.LE.P(ILG,4)) GOTO 230
+ DO 210 J=1,4
+ P(ILG+1,J)=P(ILG,J)
+ 210 CONTINUE
+ 220 CONTINUE
+ ILG=N+NP+MSTU(44)+4
+ 230 DO 240 J=1,3
+ P(ILG+1,J)=TDI(J)
+ 240 CONTINUE
+ P(ILG+1,4)=TDS
+ 250 CONTINUE
+
+C...Iterate direction of axis until stable maximum.
+ P(N+NP+ILD,4)=0.
+ ILG=0
+ 260 ILG=ILG+1
+ THP=0.
+ 270 THPS=THP
+ DO 280 J=1,3
+ IF(THP.LE.1E-10) TDI(J)=P(N+NP+MSTU(44)+4+ILG,J)
+ IF(THP.GT.1E-10) TDI(J)=TPR(J)
+ TPR(J)=0.
+ 280 CONTINUE
+ DO 300 I=N+1,N+NP
+ SGN=SIGN(P(I,5),TDI(1)*P(I,1)+TDI(2)*P(I,2)+TDI(3)*P(I,3))
+ DO 290 J=1,4-ILD
+ TPR(J)=TPR(J)+SGN*P(I,J)
+ 290 CONTINUE
+ 300 CONTINUE
+ THP=SQRT(TPR(1)**2+TPR(2)**2+TPR(3)**2)/PS
+ IF(THP.GE.THPS+PARU(48)) GOTO 270
+
+C...Save good axis. Try new initial axis until a number of tries agree.
+ IF(THP.LT.P(N+NP+ILD,4)-PARU(48).AND.ILG.LT.MIN(10,NC)) GOTO 260
+ IF(THP.GT.P(N+NP+ILD,4)+PARU(48)) THEN
+ IAGR=0
+ SGN=(-1.)**INT(RLY(0)+0.5)
+ DO 310 J=1,3
+ P(N+NP+ILD,J)=SGN*TPR(J)/(PS*THP)
+ 310 CONTINUE
+ P(N+NP+ILD,4)=THP
+ P(N+NP+ILD,5)=0.
+ ENDIF
+ IAGR=IAGR+1
+ IF(IAGR.LT.MSTU(45).AND.ILG.LT.MIN(10,NC)) GOTO 260
+ 320 CONTINUE
+
+C...Find minor axis and value by orthogonality.
+ SGN=(-1.)**INT(RLY(0)+0.5)
+ P(N+NP+3,1)=-SGN*P(N+NP+2,2)
+ P(N+NP+3,2)=SGN*P(N+NP+2,1)
+ P(N+NP+3,3)=0.
+ THP=0.
+ DO 330 I=N+1,N+NP
+ THP=THP+P(I,5)*ABS(P(N+NP+3,1)*P(I,1)+P(N+NP+3,2)*P(I,2))
+ 330 CONTINUE
+ P(N+NP+3,4)=THP/PS
+ P(N+NP+3,5)=0.
+
+C...Fill axis information. Rotate back to original coordinate system.
+ DO 350 ILD=1,3
+ K(N+ILD,1)=31
+ K(N+ILD,2)=96
+ K(N+ILD,3)=ILD
+ K(N+ILD,4)=0
+ K(N+ILD,5)=0
+ DO 340 J=1,5
+ P(N+ILD,J)=P(N+NP+ILD,J)
+ V(N+ILD,J)=0.
+ 340 CONTINUE
+ 350 CONTINUE
+ CALL LUDBRB(N+1,N+3,THE,PHI,0D0,0D0,0D0)
+
+C...Calculate thrust and oblateness. Select storing option.
+ THR=P(N+1,4)
+ OBL=P(N+2,4)-P(N+3,4)
+ MSTU(61)=N+1
+ MSTU(62)=NP
+ IF(MSTU(43).LE.1) MSTU(3)=3
+ IF(MSTU(43).GE.2) N=N+3
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYCLUS(NJET)
+
+C...Purpose: to subdivide the particle content of an event into
+C...jets/clusters.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION PS(5)
+ SAVE NSAV,NP,PS,PSS,RINIT,NPRE,NREM
+
+C...Functions: distance measure in pT, (pseudo)mass or Durham pT.
+ R2T(I1,I2)=(P(I1,5)*P(I2,5)-P(I1,1)*P(I2,1)-P(I1,2)*P(I2,2)-
+ &P(I1,3)*P(I2,3))*2.*P(I1,5)*P(I2,5)/(0.0001+P(I1,5)+P(I2,5))**2
+ R2M(I1,I2)=2.*P(I1,4)*P(I2,4)*(1.-(P(I1,1)*P(I2,1)+P(I1,2)*
+ &P(I2,2)+P(I1,3)*P(I2,3))/(P(I1,5)*P(I2,5)))
+ R2D(I1,I2)=2.*MIN(P(I1,4),P(I2,4))**2*(1.-(P(I1,1)*P(I2,1)+
+ &P(I1,2)*P(I2,2)+P(I1,3)*P(I2,3))/(P(I1,5)*P(I2,5)))
+
+C...If first time, reset. If reentering, skip preliminaries.
+ IF(MSTU(48).LE.0) THEN
+ NP=0
+ DO 100 J=1,5
+ PS(J)=0.
+ 100 CONTINUE
+ PSS=0.
+ ELSE
+ NJET=NSAV
+ IF(MSTU(43).GE.2) N=N-NJET
+ DO 110 I=N+1,N+NJET
+ P(I,5)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ 110 CONTINUE
+ IF(MSTU(46).LE.3.OR.MSTU(46).EQ.5) THEN
+ R2ACC=PARU(44)**2
+ ELSE
+ R2ACC=PARU(45)*PS(5)**2
+ ENDIF
+ NLOOP=0
+ GOTO 300
+ ENDIF
+
+C...Find which particles are to be considered in cluster search.
+ DO 140 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 140
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 140
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 140
+ ENDIF
+ IF(N+2*NP.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYCLUS:) no more memory left in LUJETS')
+ NJET=-1
+ RETURN
+ ENDIF
+
+C...Take copy of these particles, with space left for jets later on.
+ NP=NP+1
+ K(N+NP,3)=I
+ DO 120 J=1,5
+ P(N+NP,J)=P(I,J)
+ 120 CONTINUE
+ IF(MSTU(42).EQ.0) P(N+NP,5)=0.
+ IF(MSTU(42).EQ.1.AND.K(I,2).NE.22) P(N+NP,5)=PMAS(101,1)
+ P(N+NP,4)=SQRT(P(N+NP,5)**2+P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ P(N+NP,5)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ DO 130 J=1,4
+ PS(J)=PS(J)+P(N+NP,J)
+ 130 CONTINUE
+ PSS=PSS+P(N+NP,5)
+ 140 CONTINUE
+ DO 160 I=N+1,N+NP
+ K(I+NP,3)=K(I,3)
+ DO 150 J=1,5
+ P(I+NP,J)=P(I,J)
+ 150 CONTINUE
+ 160 CONTINUE
+ PS(5)=SQRT(MAX(0.,PS(4)**2-PS(1)**2-PS(2)**2-PS(3)**2))
+
+C...Very low multiplicities not considered.
+ IF(NP.LT.MSTU(47)) THEN
+ CALL LYERRM(8,'(LYCLUS:) too few particles for analysis')
+ NJET=-1
+ RETURN
+ ENDIF
+
+C...Find precluster configuration. If too few jets, make harder cuts.
+ NLOOP=0
+ IF(MSTU(46).LE.3.OR.MSTU(46).EQ.5) THEN
+ R2ACC=PARU(44)**2
+ ELSE
+ R2ACC=PARU(45)*PS(5)**2
+ ENDIF
+ RINIT=1.25*PARU(43)
+ IF(NP.LE.MSTU(47)+2) RINIT=0.
+ 170 RINIT=0.8*RINIT
+ NPRE=0
+ NREM=NP
+ DO 180 I=N+NP+1,N+2*NP
+ K(I,4)=0
+ 180 CONTINUE
+
+C...Sum up small momentum region. Jet if enough absolute momentum.
+ IF(MSTU(46).LE.2) THEN
+ DO 190 J=1,4
+ P(N+1,J)=0.
+ 190 CONTINUE
+ DO 210 I=N+NP+1,N+2*NP
+ IF(P(I,5).GT.2.*RINIT) GOTO 210
+ NREM=NREM-1
+ K(I,4)=1
+ DO 200 J=1,4
+ P(N+1,J)=P(N+1,J)+P(I,J)
+ 200 CONTINUE
+ 210 CONTINUE
+ P(N+1,5)=SQRT(P(N+1,1)**2+P(N+1,2)**2+P(N+1,3)**2)
+ IF(P(N+1,5).GT.2.*RINIT) NPRE=1
+ IF(RINIT.GE.0.2*PARU(43).AND.NPRE+NREM.LT.MSTU(47)) GOTO 170
+ IF(NREM.EQ.0) GOTO 170
+ ENDIF
+
+C...Find fastest remaining particle.
+ 220 NPRE=NPRE+1
+ PMAX=0.
+ DO 230 I=N+NP+1,N+2*NP
+ IF(K(I,4).NE.0.OR.P(I,5).LE.PMAX) GOTO 230
+ IMAX=I
+ PMAX=P(I,5)
+ 230 CONTINUE
+ DO 240 J=1,5
+ P(N+NPRE,J)=P(IMAX,J)
+ 240 CONTINUE
+ NREM=NREM-1
+ K(IMAX,4)=NPRE
+
+C...Sum up precluster around it according to pT separation.
+ IF(MSTU(46).LE.2) THEN
+ DO 260 I=N+NP+1,N+2*NP
+ IF(K(I,4).NE.0) GOTO 260
+ R2=R2T(I,IMAX)
+ IF(R2.GT.RINIT**2) GOTO 260
+ NREM=NREM-1
+ K(I,4)=NPRE
+ DO 250 J=1,4
+ P(N+NPRE,J)=P(N+NPRE,J)+P(I,J)
+ 250 CONTINUE
+ 260 CONTINUE
+ P(N+NPRE,5)=SQRT(P(N+NPRE,1)**2+P(N+NPRE,2)**2+P(N+NPRE,3)**2)
+
+C...Sum up precluster around it according to mass or
+C...Durham pT separation.
+ ELSE
+ 270 IMIN=0
+ R2MIN=RINIT**2
+ DO 280 I=N+NP+1,N+2*NP
+ IF(K(I,4).NE.0) GOTO 280
+ IF(MSTU(46).LE.4) THEN
+ R2=R2M(I,N+NPRE)
+ ELSE
+ R2=R2D(I,N+NPRE)
+ ENDIF
+ IF(R2.GE.R2MIN) GOTO 280
+ IMIN=I
+ R2MIN=R2
+ 280 CONTINUE
+ IF(IMIN.NE.0) THEN
+ DO 290 J=1,4
+ P(N+NPRE,J)=P(N+NPRE,J)+P(IMIN,J)
+ 290 CONTINUE
+ P(N+NPRE,5)=SQRT(P(N+NPRE,1)**2+P(N+NPRE,2)**2+P(N+NPRE,3)**2)
+ NREM=NREM-1
+ K(IMIN,4)=NPRE
+ GOTO 270
+ ENDIF
+ ENDIF
+
+C...Check if more preclusters to be found. Start over if too few.
+ IF(RINIT.GE.0.2*PARU(43).AND.NPRE+NREM.LT.MSTU(47)) GOTO 170
+ IF(NREM.GT.0) GOTO 220
+ NJET=NPRE
+
+C...Reassign all particles to nearest jet. Sum up new jet momenta.
+ 300 TSAV=0.
+ PSJT=0.
+ 310 IF(MSTU(46).LE.1) THEN
+ DO 330 I=N+1,N+NJET
+ DO 320 J=1,4
+ V(I,J)=0.
+ 320 CONTINUE
+ 330 CONTINUE
+ DO 360 I=N+NP+1,N+2*NP
+ R2MIN=PSS**2
+ DO 340 IJET=N+1,N+NJET
+ IF(P(IJET,5).LT.RINIT) GOTO 340
+ R2=R2T(I,IJET)
+ IF(R2.GE.R2MIN) GOTO 340
+ IMIN=IJET
+ R2MIN=R2
+ 340 CONTINUE
+ K(I,4)=IMIN-N
+ DO 350 J=1,4
+ V(IMIN,J)=V(IMIN,J)+P(I,J)
+ 350 CONTINUE
+ 360 CONTINUE
+ PSJT=0.
+ DO 380 I=N+1,N+NJET
+ DO 370 J=1,4
+ P(I,J)=V(I,J)
+ 370 CONTINUE
+ P(I,5)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ PSJT=PSJT+P(I,5)
+ 380 CONTINUE
+ ENDIF
+
+C...Find two closest jets.
+ R2MIN=2.*MAX(R2ACC,PS(5)**2)
+ DO 400 ITRY1=N+1,N+NJET-1
+ DO 390 ITRY2=ITRY1+1,N+NJET
+ IF(MSTU(46).LE.2) THEN
+ R2=R2T(ITRY1,ITRY2)
+ ELSEIF(MSTU(46).LE.4) THEN
+ R2=R2M(ITRY1,ITRY2)
+ ELSE
+ R2=R2D(ITRY1,ITRY2)
+ ENDIF
+ IF(R2.GE.R2MIN) GOTO 390
+ IMIN1=ITRY1
+ IMIN2=ITRY2
+ R2MIN=R2
+ 390 CONTINUE
+ 400 CONTINUE
+
+C...If allowed, join two closest jets and start over.
+ IF(NJET.GT.MSTU(47).AND.R2MIN.LT.R2ACC) THEN
+ IREC=MIN(IMIN1,IMIN2)
+ IDEL=MAX(IMIN1,IMIN2)
+ DO 410 J=1,4
+ P(IREC,J)=P(IMIN1,J)+P(IMIN2,J)
+ 410 CONTINUE
+ P(IREC,5)=SQRT(P(IREC,1)**2+P(IREC,2)**2+P(IREC,3)**2)
+ DO 430 I=IDEL+1,N+NJET
+ DO 420 J=1,5
+ P(I-1,J)=P(I,J)
+ 420 CONTINUE
+ 430 CONTINUE
+ IF(MSTU(46).GE.2) THEN
+ DO 440 I=N+NP+1,N+2*NP
+ IORI=N+K(I,4)
+ IF(IORI.EQ.IDEL) K(I,4)=IREC-N
+ IF(IORI.GT.IDEL) K(I,4)=K(I,4)-1
+ 440 CONTINUE
+ ENDIF
+ NJET=NJET-1
+ GOTO 300
+
+C...Divide up broad jet if empty cluster in list of final ones.
+ ELSEIF(NJET.EQ.MSTU(47).AND.MSTU(46).LE.1.AND.NLOOP.LE.2) THEN
+ DO 450 I=N+1,N+NJET
+ K(I,5)=0
+ 450 CONTINUE
+ DO 460 I=N+NP+1,N+2*NP
+ K(N+K(I,4),5)=K(N+K(I,4),5)+1
+ 460 CONTINUE
+ IEMP=0
+ DO 470 I=N+1,N+NJET
+ IF(K(I,5).EQ.0) IEMP=I
+ 470 CONTINUE
+ IF(IEMP.NE.0) THEN
+ NLOOP=NLOOP+1
+ ISPL=0
+ R2MAX=0.
+ DO 480 I=N+NP+1,N+2*NP
+ IF(K(N+K(I,4),5).LE.1.OR.P(I,5).LT.RINIT) GOTO 480
+ IJET=N+K(I,4)
+ R2=R2T(I,IJET)
+ IF(R2.LE.R2MAX) GOTO 480
+ ISPL=I
+ R2MAX=R2
+ 480 CONTINUE
+ IF(ISPL.NE.0) THEN
+ IJET=N+K(ISPL,4)
+ DO 490 J=1,4
+ P(IEMP,J)=P(ISPL,J)
+ P(IJET,J)=P(IJET,J)-P(ISPL,J)
+ 490 CONTINUE
+ P(IEMP,5)=P(ISPL,5)
+ P(IJET,5)=SQRT(P(IJET,1)**2+P(IJET,2)**2+P(IJET,3)**2)
+ IF(NLOOP.LE.2) GOTO 300
+ ENDIF
+ ENDIF
+ ENDIF
+
+C...If generalized thrust has not yet converged, continue iteration.
+ IF(MSTU(46).LE.1.AND.NLOOP.LE.2.AND.PSJT/PSS.GT.TSAV+PARU(48))
+ &THEN
+ TSAV=PSJT/PSS
+ GOTO 310
+ ENDIF
+
+C...Reorder jets according to energy.
+ DO 510 I=N+1,N+NJET
+ DO 500 J=1,5
+ V(I,J)=P(I,J)
+ 500 CONTINUE
+ 510 CONTINUE
+ DO 540 INEW=N+1,N+NJET
+ PEMAX=0.
+ DO 520 ITRY=N+1,N+NJET
+ IF(V(ITRY,4).LE.PEMAX) GOTO 520
+ IMAX=ITRY
+ PEMAX=V(ITRY,4)
+ 520 CONTINUE
+ K(INEW,1)=31
+ K(INEW,2)=97
+ K(INEW,3)=INEW-N
+ K(INEW,4)=0
+ DO 530 J=1,5
+ P(INEW,J)=V(IMAX,J)
+ 530 CONTINUE
+ V(IMAX,4)=-1.
+ K(IMAX,5)=INEW
+ 540 CONTINUE
+
+C...Clean up particle-jet assignments and jet information.
+ DO 550 I=N+NP+1,N+2*NP
+ IORI=K(N+K(I,4),5)
+ K(I,4)=IORI-N
+ IF(K(K(I,3),1).NE.3) K(K(I,3),4)=IORI-N
+ K(IORI,4)=K(IORI,4)+1
+ 550 CONTINUE
+ IEMP=0
+ PSJT=0.
+ DO 570 I=N+1,N+NJET
+ K(I,5)=0
+ PSJT=PSJT+P(I,5)
+ P(I,5)=SQRT(MAX(P(I,4)**2-P(I,5)**2,0.))
+ DO 560 J=1,5
+ V(I,J)=0.
+ 560 CONTINUE
+ IF(K(I,4).EQ.0) IEMP=I
+ 570 CONTINUE
+
+C...Select storing option. Output variables. Check for failure.
+ MSTU(61)=N+1
+ MSTU(62)=NP
+ MSTU(63)=NPRE
+ PARU(61)=PS(5)
+ PARU(62)=PSJT/PSS
+ PARU(63)=SQRT(R2MIN)
+ IF(NJET.LE.1) PARU(63)=0.
+ IF(IEMP.NE.0) THEN
+ CALL LYERRM(8,'(LYCLUS:) failed to reconstruct as requested')
+ NJET=-1
+ ENDIF
+ IF(MSTU(43).LE.1) MSTU(3)=NJET
+ IF(MSTU(43).GE.2) N=N+NJET
+ NSAV=NJET
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYCELL(NJET)
+
+C...Purpose: to provide a simple way of jet finding in an eta-phi-ET
+C...coordinate frame, as used for calorimeters at hadron colliders.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Loop over all particles. Find cell that was hit by given particle.
+ PTLRAT=1./SINH(PARU(51))**2
+ NP=0
+ NC=N
+ DO 110 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 110
+ IF(P(I,1)**2+P(I,2)**2.LE.PTLRAT*P(I,3)**2) GOTO 110
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 110
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 110
+ ENDIF
+ NP=NP+1
+ PT=SQRT(P(I,1)**2+P(I,2)**2)
+ ETA=SIGN(LOG((SQRT(PT**2+P(I,3)**2)+ABS(P(I,3)))/PT),P(I,3))
+ IETA=MAX(1,MIN(MSTU(51),1+INT(MSTU(51)*0.5*(ETA/PARU(51)+1.))))
+ PHI=UYANGL(P(I,1),P(I,2))
+ IPHI=MAX(1,MIN(MSTU(52),1+INT(MSTU(52)*0.5*(PHI/PARU(1)+1.))))
+ IETPH=MSTU(52)*IETA+IPHI
+
+C...Add to cell already hit, or book new cell.
+ DO 100 IC=N+1,NC
+ IF(IETPH.EQ.K(IC,3)) THEN
+ K(IC,4)=K(IC,4)+1
+ P(IC,5)=P(IC,5)+PT
+ GOTO 110
+ ENDIF
+ 100 CONTINUE
+ IF(NC.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYCELL:) no more memory left in LUJETS')
+ NJET=-2
+ RETURN
+ ENDIF
+ NC=NC+1
+ K(NC,3)=IETPH
+ K(NC,4)=1
+ K(NC,5)=2
+ P(NC,1)=(PARU(51)/MSTU(51))*(2*IETA-1-MSTU(51))
+ P(NC,2)=(PARU(1)/MSTU(52))*(2*IPHI-1-MSTU(52))
+ P(NC,5)=PT
+ 110 CONTINUE
+
+C...Smear true bin content by calorimeter resolution.
+ IF(MSTU(53).GE.1) THEN
+ DO 130 IC=N+1,NC
+ PEI=P(IC,5)
+ IF(MSTU(53).EQ.2) PEI=P(IC,5)*COSH(P(IC,1))
+ 120 PEF=PEI+PARU(55)*SQRT(-2.*LOG(MAX(1E-10,RLY(0)))*PEI)*
+ & COS(PARU(2)*RLY(0))
+ IF(PEF.LT.0..OR.PEF.GT.PARU(56)*PEI) GOTO 120
+ P(IC,5)=PEF
+ IF(MSTU(53).EQ.2) P(IC,5)=PEF/COSH(P(IC,1))
+ 130 CONTINUE
+ ENDIF
+
+C...Remove cells below threshold.
+ IF(PARU(58).GT.0.) THEN
+ NCC=NC
+ NC=N
+ DO 140 IC=N+1,NCC
+ IF(P(IC,5).GT.PARU(58)) THEN
+ NC=NC+1
+ K(NC,3)=K(IC,3)
+ K(NC,4)=K(IC,4)
+ K(NC,5)=K(IC,5)
+ P(NC,1)=P(IC,1)
+ P(NC,2)=P(IC,2)
+ P(NC,5)=P(IC,5)
+ ENDIF
+ 140 CONTINUE
+ ENDIF
+
+C...Find initiator cell: the one with highest pT of not yet used ones.
+ NJ=NC
+ 150 ETMAX=0.
+ DO 160 IC=N+1,NC
+ IF(K(IC,5).NE.2) GOTO 160
+ IF(P(IC,5).LE.ETMAX) GOTO 160
+ ICMAX=IC
+ ETA=P(IC,1)
+ PHI=P(IC,2)
+ ETMAX=P(IC,5)
+ 160 CONTINUE
+ IF(ETMAX.LT.PARU(52)) GOTO 220
+ IF(NJ.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYCELL:) no more memory left in LUJETS')
+ NJET=-2
+ RETURN
+ ENDIF
+ K(ICMAX,5)=1
+ NJ=NJ+1
+ K(NJ,4)=0
+ K(NJ,5)=1
+ P(NJ,1)=ETA
+ P(NJ,2)=PHI
+ P(NJ,3)=0.
+ P(NJ,4)=0.
+ P(NJ,5)=0.
+
+C...Sum up unused cells within required distance of initiator.
+ DO 170 IC=N+1,NC
+ IF(K(IC,5).EQ.0) GOTO 170
+ IF(ABS(P(IC,1)-ETA).GT.PARU(54)) GOTO 170
+ DPHIA=ABS(P(IC,2)-PHI)
+ IF(DPHIA.GT.PARU(54).AND.DPHIA.LT.PARU(2)-PARU(54)) GOTO 170
+ PHIC=P(IC,2)
+ IF(DPHIA.GT.PARU(1)) PHIC=PHIC+SIGN(PARU(2),PHI)
+ IF((P(IC,1)-ETA)**2+(PHIC-PHI)**2.GT.PARU(54)**2) GOTO 170
+ K(IC,5)=-K(IC,5)
+ K(NJ,4)=K(NJ,4)+K(IC,4)
+ P(NJ,3)=P(NJ,3)+P(IC,5)*P(IC,1)
+ P(NJ,4)=P(NJ,4)+P(IC,5)*PHIC
+ P(NJ,5)=P(NJ,5)+P(IC,5)
+ 170 CONTINUE
+
+C...Reject cluster below minimum ET, else accept.
+ IF(P(NJ,5).LT.PARU(53)) THEN
+ NJ=NJ-1
+ DO 180 IC=N+1,NC
+ IF(K(IC,5).LT.0) K(IC,5)=-K(IC,5)
+ 180 CONTINUE
+ ELSEIF(MSTU(54).LE.2) THEN
+ P(NJ,3)=P(NJ,3)/P(NJ,5)
+ P(NJ,4)=P(NJ,4)/P(NJ,5)
+ IF(ABS(P(NJ,4)).GT.PARU(1)) P(NJ,4)=P(NJ,4)-SIGN(PARU(2),
+ & P(NJ,4))
+ DO 190 IC=N+1,NC
+ IF(K(IC,5).LT.0) K(IC,5)=0
+ 190 CONTINUE
+ ELSE
+ DO 200 J=1,4
+ P(NJ,J)=0.
+ 200 CONTINUE
+ DO 210 IC=N+1,NC
+ IF(K(IC,5).GE.0) GOTO 210
+ P(NJ,1)=P(NJ,1)+P(IC,5)*COS(P(IC,2))
+ P(NJ,2)=P(NJ,2)+P(IC,5)*SIN(P(IC,2))
+ P(NJ,3)=P(NJ,3)+P(IC,5)*SINH(P(IC,1))
+ P(NJ,4)=P(NJ,4)+P(IC,5)*COSH(P(IC,1))
+ K(IC,5)=0
+ 210 CONTINUE
+ ENDIF
+ GOTO 150
+
+C...Arrange clusters in falling ET sequence.
+ 220 DO 250 I=1,NJ-NC
+ ETMAX=0.
+ DO 230 IJ=NC+1,NJ
+ IF(K(IJ,5).EQ.0) GOTO 230
+ IF(P(IJ,5).LT.ETMAX) GOTO 230
+ IJMAX=IJ
+ ETMAX=P(IJ,5)
+ 230 CONTINUE
+ K(IJMAX,5)=0
+ K(N+I,1)=31
+ K(N+I,2)=98
+ K(N+I,3)=I
+ K(N+I,4)=K(IJMAX,4)
+ K(N+I,5)=0
+ DO 240 J=1,5
+ P(N+I,J)=P(IJMAX,J)
+ V(N+I,J)=0.
+ 240 CONTINUE
+ 250 CONTINUE
+ NJET=NJ-NC
+
+C...Convert to massless or massive four-vectors.
+ IF(MSTU(54).EQ.2) THEN
+ DO 260 I=N+1,N+NJET
+ ETA=P(I,3)
+ P(I,1)=P(I,5)*COS(P(I,4))
+ P(I,2)=P(I,5)*SIN(P(I,4))
+ P(I,3)=P(I,5)*SINH(ETA)
+ P(I,4)=P(I,5)*COSH(ETA)
+ P(I,5)=0.
+ 260 CONTINUE
+ ELSEIF(MSTU(54).GE.3) THEN
+ DO 270 I=N+1,N+NJET
+ P(I,5)=SQRT(MAX(0.,P(I,4)**2-P(I,1)**2-P(I,2)**2-P(I,3)**2))
+ 270 CONTINUE
+ ENDIF
+
+C...Information about storage.
+ MSTU(61)=N+1
+ MSTU(62)=NP
+ MSTU(63)=NC-N
+ IF(MSTU(43).LE.1) MSTU(3)=NJET
+ IF(MSTU(43).GE.2) N=N+NJET
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYJMAS(PMH,PML)
+
+C...Purpose: to determine, approximately, the two jet masses that
+C...minimize the sum m_H^2 + m_L^2, a la Clavelli and Wyler.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+ DIMENSION SM(3,3),SAX(3),PS(3,5)
+
+C...Reset.
+ NP=0
+ DO 120 J1=1,3
+ DO 100 J2=J1,3
+ SM(J1,J2)=0.
+ 100 CONTINUE
+ DO 110 J2=1,4
+ PS(J1,J2)=0.
+ 110 CONTINUE
+ 120 CONTINUE
+ PSS=0.
+
+C...Take copy of particles that are to be considered in mass analysis.
+ DO 170 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 170
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 170
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 170
+ ENDIF
+ IF(N+NP+1.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYJMAS:) no more memory left in LUJETS')
+ PMH=-2.
+ PML=-2.
+ RETURN
+ ENDIF
+ NP=NP+1
+ DO 130 J=1,5
+ P(N+NP,J)=P(I,J)
+ 130 CONTINUE
+ IF(MSTU(42).EQ.0) P(N+NP,5)=0.
+ IF(MSTU(42).EQ.1.AND.K(I,2).NE.22) P(N+NP,5)=PMAS(101,1)
+ P(N+NP,4)=SQRT(P(N+NP,5)**2+P(I,1)**2+P(I,2)**2+P(I,3)**2)
+
+C...Fill information in sphericity tensor and total momentum vector.
+ DO 150 J1=1,3
+ DO 140 J2=J1,3
+ SM(J1,J2)=SM(J1,J2)+P(I,J1)*P(I,J2)
+ 140 CONTINUE
+ 150 CONTINUE
+ PSS=PSS+(P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ DO 160 J=1,4
+ PS(3,J)=PS(3,J)+P(N+NP,J)
+ 160 CONTINUE
+ 170 CONTINUE
+
+C...Very low multiplicities (0 or 1) not considered.
+ IF(NP.LE.1) THEN
+ CALL LYERRM(8,'(LYJMAS:) too few particles for analysis')
+ PMH=-1.
+ PML=-1.
+ RETURN
+ ENDIF
+ PARU(61)=SQRT(MAX(0.,PS(3,4)**2-PS(3,1)**2-PS(3,2)**2-PS(3,3)**2))
+
+C...Find largest eigenvalue to matrix (third degree equation).
+ DO 190 J1=1,3
+ DO 180 J2=J1,3
+ SM(J1,J2)=SM(J1,J2)/PSS
+ 180 CONTINUE
+ 190 CONTINUE
+ SQ=(SM(1,1)*SM(2,2)+SM(1,1)*SM(3,3)+SM(2,2)*SM(3,3)-SM(1,2)**2-
+ &SM(1,3)**2-SM(2,3)**2)/3.-1./9.
+ SR=-0.5*(SQ+1./9.+SM(1,1)*SM(2,3)**2+SM(2,2)*SM(1,3)**2+SM(3,3)*
+ &SM(1,2)**2-SM(1,1)*SM(2,2)*SM(3,3))+SM(1,2)*SM(1,3)*SM(2,3)+1./27.
+ SP=COS(ACOS(MAX(MIN(SR/SQRT(-SQ**3),1.),-1.))/3.)
+ SMA=1./3.+SQRT(-SQ)*MAX(2.*SP,SQRT(3.*(1.-SP**2))-SP)
+
+C...Find largest eigenvector by solving equation system.
+ DO 210 J1=1,3
+ SM(J1,J1)=SM(J1,J1)-SMA
+ DO 200 J2=J1+1,3
+ SM(J2,J1)=SM(J1,J2)
+ 200 CONTINUE
+ 210 CONTINUE
+ SMAX=0.
+ DO 230 J1=1,3
+ DO 220 J2=1,3
+ IF(ABS(SM(J1,J2)).LE.SMAX) GOTO 220
+ JA=J1
+ JB=J2
+ SMAX=ABS(SM(J1,J2))
+ 220 CONTINUE
+ 230 CONTINUE
+ SMAX=0.
+ DO 250 J3=JA+1,JA+2
+ J1=J3-3*((J3-1)/3)
+ RL=SM(J1,JB)/SM(JA,JB)
+ DO 240 J2=1,3
+ SM(J1,J2)=SM(J1,J2)-RL*SM(JA,J2)
+ IF(ABS(SM(J1,J2)).LE.SMAX) GOTO 240
+ JC=J1
+ SMAX=ABS(SM(J1,J2))
+ 240 CONTINUE
+ 250 CONTINUE
+ JB1=JB+1-3*(JB/3)
+ JB2=JB+2-3*((JB+1)/3)
+ SAX(JB1)=-SM(JC,JB2)
+ SAX(JB2)=SM(JC,JB1)
+ SAX(JB)=-(SM(JA,JB1)*SAX(JB1)+SM(JA,JB2)*SAX(JB2))/SM(JA,JB)
+
+C...Divide particles into two initial clusters by hemisphere.
+ DO 270 I=N+1,N+NP
+ PSAX=P(I,1)*SAX(1)+P(I,2)*SAX(2)+P(I,3)*SAX(3)
+ IS=1
+ IF(PSAX.LT.0.) IS=2
+ K(I,3)=IS
+ DO 260 J=1,4
+ PS(IS,J)=PS(IS,J)+P(I,J)
+ 260 CONTINUE
+ 270 CONTINUE
+ PMS=MAX(1E-10,PS(1,4)**2-PS(1,1)**2-PS(1,2)**2-PS(1,3)**2)+
+ &MAX(1E-10,PS(2,4)**2-PS(2,1)**2-PS(2,2)**2-PS(2,3)**2)
+
+C...Reassign one particle at a time; find maximum decrease of m^2 sum.
+ 280 PMD=0.
+ IM=0
+ DO 290 J=1,4
+ PS(3,J)=PS(1,J)-PS(2,J)
+ 290 CONTINUE
+ DO 300 I=N+1,N+NP
+ PPS=P(I,4)*PS(3,4)-P(I,1)*PS(3,1)-P(I,2)*PS(3,2)-P(I,3)*PS(3,3)
+ IF(K(I,3).EQ.1) PMDI=2.*(P(I,5)**2-PPS)
+ IF(K(I,3).EQ.2) PMDI=2.*(P(I,5)**2+PPS)
+ IF(PMDI.LT.PMD) THEN
+ PMD=PMDI
+ IM=I
+ ENDIF
+ 300 CONTINUE
+
+C...Loop back if significant reduction in sum of m^2.
+ IF(PMD.LT.-PARU(48)*PMS) THEN
+ PMS=PMS+PMD
+ IS=K(IM,3)
+ DO 310 J=1,4
+ PS(IS,J)=PS(IS,J)-P(IM,J)
+ PS(3-IS,J)=PS(3-IS,J)+P(IM,J)
+ 310 CONTINUE
+ K(IM,3)=3-IS
+ GOTO 280
+ ENDIF
+
+C...Final masses and output.
+ MSTU(61)=N+1
+ MSTU(62)=NP
+ PS(1,5)=SQRT(MAX(0.,PS(1,4)**2-PS(1,1)**2-PS(1,2)**2-PS(1,3)**2))
+ PS(2,5)=SQRT(MAX(0.,PS(2,4)**2-PS(2,1)**2-PS(2,2)**2-PS(2,3)**2))
+ PMH=MAX(PS(1,5),PS(2,5))
+ PML=MIN(PS(1,5),PS(2,5))
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYFOWO(H10,H20,H30,H40)
+
+C...Purpose: to calculate the first few Fox-Wolfram moments.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Copy momenta for particles and calculate H0.
+ NP=0
+ H0=0.
+ HD=0.
+ DO 110 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 110
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 110
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 110
+ ENDIF
+ IF(N+NP.GE.MSTU(4)-MSTU(32)-5) THEN
+ CALL LYERRM(11,'(LYFOWO:) no more memory left in LUJETS')
+ H10=-1.
+ H20=-1.
+ H30=-1.
+ H40=-1.
+ RETURN
+ ENDIF
+ NP=NP+1
+ DO 100 J=1,3
+ P(N+NP,J)=P(I,J)
+ 100 CONTINUE
+ P(N+NP,4)=SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ H0=H0+P(N+NP,4)
+ HD=HD+P(N+NP,4)**2
+ 110 CONTINUE
+ H0=H0**2
+
+C...Very low multiplicities (0 or 1) not considered.
+ IF(NP.LE.1) THEN
+ CALL LYERRM(8,'(LYFOWO:) too few particles for analysis')
+ H10=-1.
+ H20=-1.
+ H30=-1.
+ H40=-1.
+ RETURN
+ ENDIF
+
+C...Calculate H1 - H4.
+ H10=0.
+ H20=0.
+ H30=0.
+ H40=0.
+ DO 130 I1=N+1,N+NP
+ DO 120 I2=I1+1,N+NP
+ CTHE=(P(I1,1)*P(I2,1)+P(I1,2)*P(I2,2)+P(I1,3)*P(I2,3))/
+ &(P(I1,4)*P(I2,4))
+ H10=H10+P(I1,4)*P(I2,4)*CTHE
+ H20=H20+P(I1,4)*P(I2,4)*(1.5*CTHE**2-0.5)
+ H30=H30+P(I1,4)*P(I2,4)*(2.5*CTHE**3-1.5*CTHE)
+ H40=H40+P(I1,4)*P(I2,4)*(4.375*CTHE**4-3.75*CTHE**2+0.375)
+ 120 CONTINUE
+ 130 CONTINUE
+
+C...Calculate H1/H0 - H4/H0. Output.
+ MSTU(61)=N+1
+ MSTU(62)=NP
+ H10=(HD+2.*H10)/H0
+ H20=(HD+2.*H20)/H0
+ H30=(HD+2.*H30)/H0
+ H40=(HD+2.*H40)/H0
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYTABU(MTABU)
+
+C...Purpose: to evaluate various properties of an event, with
+C...statistics accumulated during the course of the run and
+C...printed at the end.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/,/LYDAT3/
+ DIMENSION KFIS(100,2),NPIS(100,0:10),KFFS(400),NPFS(400,4),
+ &FEVFM(10,4),FM1FM(3,10,4),FM2FM(3,10,4),FMOMA(4),FMOMS(4),
+ &FEVEE(50),FE1EC(50),FE2EC(50),FE1EA(25),FE2EA(25),
+ &KFDM(8),KFDC(200,0:8),NPDC(200)
+ SAVE NEVIS,NKFIS,KFIS,NPIS,NEVFS,NPRFS,NFIFS,NCHFS,NKFFS,
+ &KFFS,NPFS,NEVFM,NMUFM,FM1FM,FM2FM,NEVEE,FE1EC,FE2EC,FE1EA,
+ &FE2EA,NEVDC,NKFDC,NREDC,KFDC,NPDC
+ CHARACTER CHAU*16,CHIS(2)*12,CHDC(8)*12
+ DATA NEVIS/0/,NKFIS/0/,NEVFS/0/,NPRFS/0/,NFIFS/0/,NCHFS/0/,
+ &NKFFS/0/,NEVFM/0/,NMUFM/0/,FM1FM/120*0./,FM2FM/120*0./,
+ &NEVEE/0/,FE1EC/50*0./,FE2EC/50*0./,FE1EA/25*0./,FE2EA/25*0./,
+ &NEVDC/0/,NKFDC/0/,NREDC/0/
+
+C...Reset statistics on initial parton state.
+ IF(MTABU.EQ.10) THEN
+ NEVIS=0
+ NKFIS=0
+
+C...Identify and order flavour content of initial state.
+ ELSEIF(MTABU.EQ.11) THEN
+ NEVIS=NEVIS+1
+ KFM1=2*IABS(MSTU(161))
+ IF(MSTU(161).GT.0) KFM1=KFM1-1
+ KFM2=2*IABS(MSTU(162))
+ IF(MSTU(162).GT.0) KFM2=KFM2-1
+ KFMN=MIN(KFM1,KFM2)
+ KFMX=MAX(KFM1,KFM2)
+ DO 100 I=1,NKFIS
+ IF(KFMN.EQ.KFIS(I,1).AND.KFMX.EQ.KFIS(I,2)) THEN
+ IKFIS=-I
+ GOTO 110
+ ELSEIF(KFMN.LT.KFIS(I,1).OR.(KFMN.EQ.KFIS(I,1).AND.
+ & KFMX.LT.KFIS(I,2))) THEN
+ IKFIS=I
+ GOTO 110
+ ENDIF
+ 100 CONTINUE
+ IKFIS=NKFIS+1
+ 110 IF(IKFIS.LT.0) THEN
+ IKFIS=-IKFIS
+ ELSE
+ IF(NKFIS.GE.100) RETURN
+ DO 130 I=NKFIS,IKFIS,-1
+ KFIS(I+1,1)=KFIS(I,1)
+ KFIS(I+1,2)=KFIS(I,2)
+ DO 120 J=0,10
+ NPIS(I+1,J)=NPIS(I,J)
+ 120 CONTINUE
+ 130 CONTINUE
+ NKFIS=NKFIS+1
+ KFIS(IKFIS,1)=KFMN
+ KFIS(IKFIS,2)=KFMX
+ DO 140 J=0,10
+ NPIS(IKFIS,J)=0
+ 140 CONTINUE
+ ENDIF
+ NPIS(IKFIS,0)=NPIS(IKFIS,0)+1
+
+C...Count number of partons in initial state.
+ NP=0
+ DO 160 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.12) THEN
+ ELSEIF(IABS(K(I,2)).GT.80.AND.IABS(K(I,2)).LE.100) THEN
+ ELSEIF(IABS(K(I,2)).GT.100.AND.MOD(IABS(K(I,2))/10,10).NE.0)
+ & THEN
+ ELSE
+ IM=I
+ 150 IM=K(IM,3)
+ IF(IM.LE.0.OR.IM.GT.N) THEN
+ NP=NP+1
+ ELSEIF(K(IM,1).LE.0.OR.K(IM,1).GT.20) THEN
+ NP=NP+1
+ ELSEIF(IABS(K(IM,2)).GT.80.AND.IABS(K(IM,2)).LE.100) THEN
+ ELSEIF(IABS(K(IM,2)).GT.100.AND.MOD(IABS(K(IM,2))/10,10).NE.0)
+ & THEN
+ ELSE
+ GOTO 150
+ ENDIF
+ ENDIF
+ 160 CONTINUE
+ NPCO=MAX(NP,1)
+ IF(NP.GE.6) NPCO=6
+ IF(NP.GE.8) NPCO=7
+ IF(NP.GE.11) NPCO=8
+ IF(NP.GE.16) NPCO=9
+ IF(NP.GE.26) NPCO=10
+ NPIS(IKFIS,NPCO)=NPIS(IKFIS,NPCO)+1
+ MSTU(62)=NP
+
+C...Write statistics on initial parton state.
+ ELSEIF(MTABU.EQ.12) THEN
+ FAC=1./MAX(1,NEVIS)
+ WRITE(MSTU(11),5000) NEVIS
+ DO 170 I=1,NKFIS
+ KFMN=KFIS(I,1)
+ IF(KFMN.EQ.0) KFMN=KFIS(I,2)
+ KFM1=(KFMN+1)/2
+ IF(2*KFM1.EQ.KFMN) KFM1=-KFM1
+ CALL LYNAME(KFM1,CHAU)
+ CHIS(1)=CHAU(1:12)
+ IF(CHAU(13:13).NE.' ') CHIS(1)(12:12)='?'
+ KFMX=KFIS(I,2)
+ IF(KFIS(I,1).EQ.0) KFMX=0
+ KFM2=(KFMX+1)/2
+ IF(2*KFM2.EQ.KFMX) KFM2=-KFM2
+ CALL LYNAME(KFM2,CHAU)
+ CHIS(2)=CHAU(1:12)
+ IF(CHAU(13:13).NE.' ') CHIS(2)(12:12)='?'
+ WRITE(MSTU(11),5100) CHIS(1),CHIS(2),FAC*NPIS(I,0),
+ & (NPIS(I,J)/FLOAT(NPIS(I,0)),J=1,10)
+ 170 CONTINUE
+
+C...Copy statistics on initial parton state into /LYJETS/.
+ ELSEIF(MTABU.EQ.13) THEN
+ FAC=1./MAX(1,NEVIS)
+ DO 190 I=1,NKFIS
+ KFMN=KFIS(I,1)
+ IF(KFMN.EQ.0) KFMN=KFIS(I,2)
+ KFM1=(KFMN+1)/2
+ IF(2*KFM1.EQ.KFMN) KFM1=-KFM1
+ KFMX=KFIS(I,2)
+ IF(KFIS(I,1).EQ.0) KFMX=0
+ KFM2=(KFMX+1)/2
+ IF(2*KFM2.EQ.KFMX) KFM2=-KFM2
+ K(I,1)=32
+ K(I,2)=99
+ K(I,3)=KFM1
+ K(I,4)=KFM2
+ K(I,5)=NPIS(I,0)
+ DO 180 J=1,5
+ P(I,J)=FAC*NPIS(I,J)
+ V(I,J)=FAC*NPIS(I,J+5)
+ 180 CONTINUE
+ 190 CONTINUE
+ N=NKFIS
+ DO 200 J=1,5
+ K(N+1,J)=0
+ P(N+1,J)=0.
+ V(N+1,J)=0.
+ 200 CONTINUE
+ K(N+1,1)=32
+ K(N+1,2)=99
+ K(N+1,5)=NEVIS
+ MSTU(3)=1
+
+C...Reset statistics on number of particles/partons.
+ ELSEIF(MTABU.EQ.20) THEN
+ NEVFS=0
+ NPRFS=0
+ NFIFS=0
+ NCHFS=0
+ NKFFS=0
+
+C...Identify whether particle/parton is primary or not.
+ ELSEIF(MTABU.EQ.21) THEN
+ NEVFS=NEVFS+1
+ MSTU(62)=0
+ DO 260 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.20.OR.K(I,1).EQ.13) GOTO 260
+ MSTU(62)=MSTU(62)+1
+ KC=LYCOMP(K(I,2))
+ MPRI=0
+ IF(K(I,3).LE.0.OR.K(I,3).GT.N) THEN
+ MPRI=1
+ ELSEIF(K(K(I,3),1).LE.0.OR.K(K(I,3),1).GT.20) THEN
+ MPRI=1
+ ELSEIF(K(K(I,3),2).GE.91.AND.K(K(I,3),2).LE.93) THEN
+ MPRI=1
+ ELSEIF(KC.EQ.0) THEN
+ ELSEIF(K(K(I,3),1).EQ.13) THEN
+ IM=K(K(I,3),3)
+ IF(IM.LE.0.OR.IM.GT.N) THEN
+ MPRI=1
+ ELSEIF(K(IM,1).LE.0.OR.K(IM,1).GT.20) THEN
+ MPRI=1
+ ENDIF
+ ELSEIF(KCHG(KC,2).EQ.0) THEN
+ KCM=LYCOMP(K(K(I,3),2))
+ IF(KCM.NE.0) THEN
+ IF(KCHG(KCM,2).NE.0) MPRI=1
+ ENDIF
+ ENDIF
+ IF(KC.NE.0.AND.MPRI.EQ.1) THEN
+ IF(KCHG(KC,2).EQ.0) NPRFS=NPRFS+1
+ ENDIF
+ IF(K(I,1).LE.10) THEN
+ NFIFS=NFIFS+1
+ IF(LYCHGE(K(I,2)).NE.0) NCHFS=NCHFS+1
+ ENDIF
+
+C...Fill statistics on number of particles/partons in event.
+ KFA=IABS(K(I,2))
+ KFS=3-ISIGN(1,K(I,2))-MPRI
+ DO 210 IP=1,NKFFS
+ IF(KFA.EQ.KFFS(IP)) THEN
+ IKFFS=-IP
+ GOTO 220
+ ELSEIF(KFA.LT.KFFS(IP)) THEN
+ IKFFS=IP
+ GOTO 220
+ ENDIF
+ 210 CONTINUE
+ IKFFS=NKFFS+1
+ 220 IF(IKFFS.LT.0) THEN
+ IKFFS=-IKFFS
+ ELSE
+ IF(NKFFS.GE.400) RETURN
+ DO 240 IP=NKFFS,IKFFS,-1
+ KFFS(IP+1)=KFFS(IP)
+ DO 230 J=1,4
+ NPFS(IP+1,J)=NPFS(IP,J)
+ 230 CONTINUE
+ 240 CONTINUE
+ NKFFS=NKFFS+1
+ KFFS(IKFFS)=KFA
+ DO 250 J=1,4
+ NPFS(IKFFS,J)=0
+ 250 CONTINUE
+ ENDIF
+ NPFS(IKFFS,KFS)=NPFS(IKFFS,KFS)+1
+ 260 CONTINUE
+
+C...Write statistics on particle/parton composition of events.
+ ELSEIF(MTABU.EQ.22) THEN
+ FAC=1./MAX(1,NEVFS)
+ WRITE(MSTU(11),5200) NEVFS,FAC*NPRFS,FAC*NFIFS,FAC*NCHFS
+ DO 270 I=1,NKFFS
+ CALL LYNAME(KFFS(I),CHAU)
+ KC=LYCOMP(KFFS(I))
+ MDCYF=0
+ IF(KC.NE.0) MDCYF=MDCY(KC,1)
+ WRITE(MSTU(11),5300) KFFS(I),CHAU,MDCYF,(FAC*NPFS(I,J),J=1,4),
+ & FAC*(NPFS(I,1)+NPFS(I,2)+NPFS(I,3)+NPFS(I,4))
+ 270 CONTINUE
+
+C...Copy particle/parton composition information into /LYJETS/.
+ ELSEIF(MTABU.EQ.23) THEN
+ FAC=1./MAX(1,NEVFS)
+ DO 290 I=1,NKFFS
+ K(I,1)=32
+ K(I,2)=99
+ K(I,3)=KFFS(I)
+ K(I,4)=0
+ K(I,5)=NPFS(I,1)+NPFS(I,2)+NPFS(I,3)+NPFS(I,4)
+ DO 280 J=1,4
+ P(I,J)=FAC*NPFS(I,J)
+ V(I,J)=0.
+ 280 CONTINUE
+ P(I,5)=FAC*K(I,5)
+ V(I,5)=0.
+ 290 CONTINUE
+ N=NKFFS
+ DO 300 J=1,5
+ K(N+1,J)=0
+ P(N+1,J)=0.
+ V(N+1,J)=0.
+ 300 CONTINUE
+ K(N+1,1)=32
+ K(N+1,2)=99
+ K(N+1,5)=NEVFS
+ P(N+1,1)=FAC*NPRFS
+ P(N+1,2)=FAC*NFIFS
+ P(N+1,3)=FAC*NCHFS
+ MSTU(3)=1
+
+C...Reset factorial moments statistics.
+ ELSEIF(MTABU.EQ.30) THEN
+ NEVFM=0
+ NMUFM=0
+ DO 330 IM=1,3
+ DO 320 IB=1,10
+ DO 310 IP=1,4
+ FM1FM(IM,IB,IP)=0.
+ FM2FM(IM,IB,IP)=0.
+ 310 CONTINUE
+ 320 CONTINUE
+ 330 CONTINUE
+
+C...Find particles to include, with (pion,pseudo)rapidity and azimuth.
+ ELSEIF(MTABU.EQ.31) THEN
+ NEVFM=NEVFM+1
+ NLOW=N+MSTU(3)
+ NUPP=NLOW
+ DO 410 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 410
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 410
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 410
+ ENDIF
+ PMR=0.
+ IF(MSTU(42).EQ.1.AND.K(I,2).NE.22) PMR=UYMASS(211)
+ IF(MSTU(42).GE.2) PMR=P(I,5)
+ PR=MAX(1E-20,PMR**2+P(I,1)**2+P(I,2)**2)
+ YETA=SIGN(LOG(MIN((SQRT(PR+P(I,3)**2)+ABS(P(I,3)))/SQRT(PR),
+ & 1E20)),P(I,3))
+ IF(ABS(YETA).GT.PARU(57)) GOTO 410
+ PHI=UYANGL(P(I,1),P(I,2))
+ IYETA=512.*(YETA+PARU(57))/(2.*PARU(57))
+ IYETA=MAX(0,MIN(511,IYETA))
+ IPHI=512.*(PHI+PARU(1))/PARU(2)
+ IPHI=MAX(0,MIN(511,IPHI))
+ IYEP=0
+ DO 340 IB=0,9
+ IYEP=IYEP+4**IB*(2*MOD(IYETA/2**IB,2)+MOD(IPHI/2**IB,2))
+ 340 CONTINUE
+
+C...Order particles in (pseudo)rapidity and/or azimuth.
+ IF(NUPP.GT.MSTU(4)-5-MSTU(32)) THEN
+ CALL LYERRM(11,'(LYTABU:) no more memory left in LUJETS')
+ RETURN
+ ENDIF
+ NUPP=NUPP+1
+ IF(NUPP.EQ.NLOW+1) THEN
+ K(NUPP,1)=IYETA
+ K(NUPP,2)=IPHI
+ K(NUPP,3)=IYEP
+ ELSE
+ DO 350 I1=NUPP-1,NLOW+1,-1
+ IF(IYETA.GE.K(I1,1)) GOTO 360
+ K(I1+1,1)=K(I1,1)
+ 350 CONTINUE
+ 360 K(I1+1,1)=IYETA
+ DO 370 I1=NUPP-1,NLOW+1,-1
+ IF(IPHI.GE.K(I1,2)) GOTO 380
+ K(I1+1,2)=K(I1,2)
+ 370 CONTINUE
+ 380 K(I1+1,2)=IPHI
+ DO 390 I1=NUPP-1,NLOW+1,-1
+ IF(IYEP.GE.K(I1,3)) GOTO 400
+ K(I1+1,3)=K(I1,3)
+ 390 CONTINUE
+ 400 K(I1+1,3)=IYEP
+ ENDIF
+ 410 CONTINUE
+ K(NUPP+1,1)=2**10
+ K(NUPP+1,2)=2**10
+ K(NUPP+1,3)=4**10
+
+C...Calculate sum of factorial moments in event.
+ DO 480 IM=1,3
+ DO 430 IB=1,10
+ DO 420 IP=1,4
+ FEVFM(IB,IP)=0.
+ 420 CONTINUE
+ 430 CONTINUE
+ DO 450 IB=1,10
+ IF(IM.LE.2) IBIN=2**(10-IB)
+ IF(IM.EQ.3) IBIN=4**(10-IB)
+ IAGR=K(NLOW+1,IM)/IBIN
+ NAGR=1
+ DO 440 I=NLOW+2,NUPP+1
+ ICUT=K(I,IM)/IBIN
+ IF(ICUT.EQ.IAGR) THEN
+ NAGR=NAGR+1
+ ELSE
+ IF(NAGR.EQ.1) THEN
+ ELSEIF(NAGR.EQ.2) THEN
+ FEVFM(IB,1)=FEVFM(IB,1)+2.
+ ELSEIF(NAGR.EQ.3) THEN
+ FEVFM(IB,1)=FEVFM(IB,1)+6.
+ FEVFM(IB,2)=FEVFM(IB,2)+6.
+ ELSEIF(NAGR.EQ.4) THEN
+ FEVFM(IB,1)=FEVFM(IB,1)+12.
+ FEVFM(IB,2)=FEVFM(IB,2)+24.
+ FEVFM(IB,3)=FEVFM(IB,3)+24.
+ ELSE
+ FEVFM(IB,1)=FEVFM(IB,1)+NAGR*(NAGR-1.)
+ FEVFM(IB,2)=FEVFM(IB,2)+NAGR*(NAGR-1.)*(NAGR-2.)
+ FEVFM(IB,3)=FEVFM(IB,3)+NAGR*(NAGR-1.)*(NAGR-2.)*(NAGR-3.)
+ FEVFM(IB,4)=FEVFM(IB,4)+NAGR*(NAGR-1.)*(NAGR-2.)*(NAGR-3.)*
+ & (NAGR-4.)
+ ENDIF
+ IAGR=ICUT
+ NAGR=1
+ ENDIF
+ 440 CONTINUE
+ 450 CONTINUE
+
+C...Add results to total statistics.
+ DO 470 IB=10,1,-1
+ DO 460 IP=1,4
+ IF(FEVFM(1,IP).LT.0.5) THEN
+ FEVFM(IB,IP)=0.
+ ELSEIF(IM.LE.2) THEN
+ FEVFM(IB,IP)=2.**((IB-1)*IP)*FEVFM(IB,IP)/FEVFM(1,IP)
+ ELSE
+ FEVFM(IB,IP)=4.**((IB-1)*IP)*FEVFM(IB,IP)/FEVFM(1,IP)
+ ENDIF
+ FM1FM(IM,IB,IP)=FM1FM(IM,IB,IP)+FEVFM(IB,IP)
+ FM2FM(IM,IB,IP)=FM2FM(IM,IB,IP)+FEVFM(IB,IP)**2
+ 460 CONTINUE
+ 470 CONTINUE
+ 480 CONTINUE
+ NMUFM=NMUFM+(NUPP-NLOW)
+ MSTU(62)=NUPP-NLOW
+
+C...Write accumulated statistics on factorial moments.
+ ELSEIF(MTABU.EQ.32) THEN
+ FAC=1./MAX(1,NEVFM)
+ IF(MSTU(42).LE.0) WRITE(MSTU(11),5400) NEVFM,'eta'
+ IF(MSTU(42).EQ.1) WRITE(MSTU(11),5400) NEVFM,'ypi'
+ IF(MSTU(42).GE.2) WRITE(MSTU(11),5400) NEVFM,'y '
+ DO 510 IM=1,3
+ WRITE(MSTU(11),5500)
+ DO 500 IB=1,10
+ BYETA=2.*PARU(57)
+ IF(IM.NE.2) BYETA=BYETA/2**(IB-1)
+ BPHI=PARU(2)
+ IF(IM.NE.1) BPHI=BPHI/2**(IB-1)
+ IF(IM.LE.2) BNAVE=FAC*NMUFM/FLOAT(2**(IB-1))
+ IF(IM.EQ.3) BNAVE=FAC*NMUFM/FLOAT(4**(IB-1))
+ DO 490 IP=1,4
+ FMOMA(IP)=FAC*FM1FM(IM,IB,IP)
+ FMOMS(IP)=SQRT(MAX(0.,FAC*(FAC*FM2FM(IM,IB,IP)-FMOMA(IP)**2)))
+ 490 CONTINUE
+ WRITE(MSTU(11),5600) BYETA,BPHI,BNAVE,(FMOMA(IP),FMOMS(IP),
+ & IP=1,4)
+ 500 CONTINUE
+ 510 CONTINUE
+
+C...Copy statistics on factorial moments into /LYJETS/.
+ ELSEIF(MTABU.EQ.33) THEN
+ FAC=1./MAX(1,NEVFM)
+ DO 540 IM=1,3
+ DO 530 IB=1,10
+ I=10*(IM-1)+IB
+ K(I,1)=32
+ K(I,2)=99
+ K(I,3)=1
+ IF(IM.NE.2) K(I,3)=2**(IB-1)
+ K(I,4)=1
+ IF(IM.NE.1) K(I,4)=2**(IB-1)
+ K(I,5)=0
+ P(I,1)=2.*PARU(57)/K(I,3)
+ V(I,1)=PARU(2)/K(I,4)
+ DO 520 IP=1,4
+ P(I,IP+1)=FAC*FM1FM(IM,IB,IP)
+ V(I,IP+1)=SQRT(MAX(0.,FAC*(FAC*FM2FM(IM,IB,IP)-P(I,IP+1)**2)))
+ 520 CONTINUE
+ 530 CONTINUE
+ 540 CONTINUE
+ N=30
+ DO 550 J=1,5
+ K(N+1,J)=0
+ P(N+1,J)=0.
+ V(N+1,J)=0.
+ 550 CONTINUE
+ K(N+1,1)=32
+ K(N+1,2)=99
+ K(N+1,5)=NEVFM
+ MSTU(3)=1
+
+C...Reset statistics on Energy-Energy Correlation.
+ ELSEIF(MTABU.EQ.40) THEN
+ NEVEE=0
+ DO 560 J=1,25
+ FE1EC(J)=0.
+ FE2EC(J)=0.
+ FE1EC(51-J)=0.
+ FE2EC(51-J)=0.
+ FE1EA(J)=0.
+ FE2EA(J)=0.
+ 560 CONTINUE
+
+C...Find particles to include, with proper assumed mass.
+ ELSEIF(MTABU.EQ.41) THEN
+ NEVEE=NEVEE+1
+ NLOW=N+MSTU(3)
+ NUPP=NLOW
+ ECM=0.
+ DO 570 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GT.10) GOTO 570
+ IF(MSTU(41).GE.2) THEN
+ KC=LYCOMP(K(I,2))
+ IF(KC.EQ.0.OR.KC.EQ.12.OR.KC.EQ.14.OR.KC.EQ.16.OR.
+ & KC.EQ.18) GOTO 570
+ IF(MSTU(41).GE.3.AND.KCHG(KC,2).EQ.0.AND.LYCHGE(K(I,2)).EQ.0)
+ & GOTO 570
+ ENDIF
+ PMR=0.
+ IF(MSTU(42).EQ.1.AND.K(I,2).NE.22) PMR=UYMASS(211)
+ IF(MSTU(42).GE.2) PMR=P(I,5)
+ IF(NUPP.GT.MSTU(4)-5-MSTU(32)) THEN
+ CALL LYERRM(11,'(LYTABU:) no more memory left in LUJETS')
+ RETURN
+ ENDIF
+ NUPP=NUPP+1
+ P(NUPP,1)=P(I,1)
+ P(NUPP,2)=P(I,2)
+ P(NUPP,3)=P(I,3)
+ P(NUPP,4)=SQRT(PMR**2+P(I,1)**2+P(I,2)**2+P(I,3)**2)
+ P(NUPP,5)=MAX(1E-10,SQRT(P(I,1)**2+P(I,2)**2+P(I,3)**2))
+ ECM=ECM+P(NUPP,4)
+ 570 CONTINUE
+ IF(NUPP.EQ.NLOW) RETURN
+
+C...Analyze Energy-Energy Correlation in event.
+ FAC=(2./ECM**2)*50./PARU(1)
+ DO 580 J=1,50
+ FEVEE(J)=0.
+ 580 CONTINUE
+ DO 600 I1=NLOW+2,NUPP
+ DO 590 I2=NLOW+1,I1-1
+ CTHE=(P(I1,1)*P(I2,1)+P(I1,2)*P(I2,2)+P(I1,3)*P(I2,3))/
+ & (P(I1,5)*P(I2,5))
+ THE=ACOS(MAX(-1.,MIN(1.,CTHE)))
+ ITHE=MAX(1,MIN(50,1+INT(50.*THE/PARU(1))))
+ FEVEE(ITHE)=FEVEE(ITHE)+FAC*P(I1,4)*P(I2,4)
+ 590 CONTINUE
+ 600 CONTINUE
+ DO 610 J=1,25
+ FE1EC(J)=FE1EC(J)+FEVEE(J)
+ FE2EC(J)=FE2EC(J)+FEVEE(J)**2
+ FE1EC(51-J)=FE1EC(51-J)+FEVEE(51-J)
+ FE2EC(51-J)=FE2EC(51-J)+FEVEE(51-J)**2
+ FE1EA(J)=FE1EA(J)+(FEVEE(51-J)-FEVEE(J))
+ FE2EA(J)=FE2EA(J)+(FEVEE(51-J)-FEVEE(J))**2
+ 610 CONTINUE
+ MSTU(62)=NUPP-NLOW
+
+C...Write statistics on Energy-Energy Correlation.
+ ELSEIF(MTABU.EQ.42) THEN
+ FAC=1./MAX(1,NEVEE)
+ WRITE(MSTU(11),5700) NEVEE
+ DO 620 J=1,25
+ FEEC1=FAC*FE1EC(J)
+ FEES1=SQRT(MAX(0.,FAC*(FAC*FE2EC(J)-FEEC1**2)))
+ FEEC2=FAC*FE1EC(51-J)
+ FEES2=SQRT(MAX(0.,FAC*(FAC*FE2EC(51-J)-FEEC2**2)))
+ FEECA=FAC*FE1EA(J)
+ FEESA=SQRT(MAX(0.,FAC*(FAC*FE2EA(J)-FEECA**2)))
+ WRITE(MSTU(11),5800) 3.6*(J-1),3.6*J,FEEC1,FEES1,FEEC2,FEES2,
+ & FEECA,FEESA
+ 620 CONTINUE
+
+C...Copy statistics on Energy-Energy Correlation into /LYJETS/.
+ ELSEIF(MTABU.EQ.43) THEN
+ FAC=1./MAX(1,NEVEE)
+ DO 630 I=1,25
+ K(I,1)=32
+ K(I,2)=99
+ K(I,3)=0
+ K(I,4)=0
+ K(I,5)=0
+ P(I,1)=FAC*FE1EC(I)
+ V(I,1)=SQRT(MAX(0.,FAC*(FAC*FE2EC(I)-P(I,1)**2)))
+ P(I,2)=FAC*FE1EC(51-I)
+ V(I,2)=SQRT(MAX(0.,FAC*(FAC*FE2EC(51-I)-P(I,2)**2)))
+ P(I,3)=FAC*FE1EA(I)
+ V(I,3)=SQRT(MAX(0.,FAC*(FAC*FE2EA(I)-P(I,3)**2)))
+ P(I,4)=PARU(1)*(I-1)/50.
+ P(I,5)=PARU(1)*I/50.
+ V(I,4)=3.6*(I-1)
+ V(I,5)=3.6*I
+ 630 CONTINUE
+ N=25
+ DO 640 J=1,5
+ K(N+1,J)=0
+ P(N+1,J)=0.
+ V(N+1,J)=0.
+ 640 CONTINUE
+ K(N+1,1)=32
+ K(N+1,2)=99
+ K(N+1,5)=NEVEE
+ MSTU(3)=1
+
+C...Reset statistics on decay channels.
+ ELSEIF(MTABU.EQ.50) THEN
+ NEVDC=0
+ NKFDC=0
+ NREDC=0
+
+C...Identify and order flavour content of final state.
+ ELSEIF(MTABU.EQ.51) THEN
+ NEVDC=NEVDC+1
+ NDS=0
+ DO 670 I=1,N
+ IF(K(I,1).LE.0.OR.K(I,1).GE.6) GOTO 670
+ NDS=NDS+1
+ IF(NDS.GT.8) THEN
+ NREDC=NREDC+1
+ RETURN
+ ENDIF
+ KFM=2*IABS(K(I,2))
+ IF(K(I,2).LT.0) KFM=KFM-1
+ DO 650 IDS=NDS-1,1,-1
+ IIN=IDS+1
+ IF(KFM.LT.KFDM(IDS)) GOTO 660
+ KFDM(IDS+1)=KFDM(IDS)
+ 650 CONTINUE
+ IIN=1
+ 660 KFDM(IIN)=KFM
+ 670 CONTINUE
+
+C...Find whether old or new final state.
+ DO 690 IDC=1,NKFDC
+ IF(NDS.LT.KFDC(IDC,0)) THEN
+ IKFDC=IDC
+ GOTO 700
+ ELSEIF(NDS.EQ.KFDC(IDC,0)) THEN
+ DO 680 I=1,NDS
+ IF(KFDM(I).LT.KFDC(IDC,I)) THEN
+ IKFDC=IDC
+ GOTO 700
+ ELSEIF(KFDM(I).GT.KFDC(IDC,I)) THEN
+ GOTO 690
+ ENDIF
+ 680 CONTINUE
+ IKFDC=-IDC
+ GOTO 700
+ ENDIF
+ 690 CONTINUE
+ IKFDC=NKFDC+1
+ 700 IF(IKFDC.LT.0) THEN
+ IKFDC=-IKFDC
+ ELSEIF(NKFDC.GE.200) THEN
+ NREDC=NREDC+1
+ RETURN
+ ELSE
+ DO 720 IDC=NKFDC,IKFDC,-1
+ NPDC(IDC+1)=NPDC(IDC)
+ DO 710 I=0,8
+ KFDC(IDC+1,I)=KFDC(IDC,I)
+ 710 CONTINUE
+ 720 CONTINUE
+ NKFDC=NKFDC+1
+ KFDC(IKFDC,0)=NDS
+ DO 730 I=1,NDS
+ KFDC(IKFDC,I)=KFDM(I)
+ 730 CONTINUE
+ NPDC(IKFDC)=0
+ ENDIF
+ NPDC(IKFDC)=NPDC(IKFDC)+1
+
+C...Write statistics on decay channels.
+ ELSEIF(MTABU.EQ.52) THEN
+ FAC=1./MAX(1,NEVDC)
+ WRITE(MSTU(11),5900) NEVDC
+ DO 750 IDC=1,NKFDC
+ DO 740 I=1,KFDC(IDC,0)
+ KFM=KFDC(IDC,I)
+ KF=(KFM+1)/2
+ IF(2*KF.NE.KFM) KF=-KF
+ CALL LYNAME(KF,CHAU)
+ CHDC(I)=CHAU(1:12)
+ IF(CHAU(13:13).NE.' ') CHDC(I)(12:12)='?'
+ 740 CONTINUE
+ WRITE(MSTU(11),6000) FAC*NPDC(IDC),(CHDC(I),I=1,KFDC(IDC,0))
+ 750 CONTINUE
+ IF(NREDC.NE.0) WRITE(MSTU(11),6100) FAC*NREDC
+
+C...Copy statistics on decay channels into /LYJETS/.
+ ELSEIF(MTABU.EQ.53) THEN
+ FAC=1./MAX(1,NEVDC)
+ DO 780 IDC=1,NKFDC
+ K(IDC,1)=32
+ K(IDC,2)=99
+ K(IDC,3)=0
+ K(IDC,4)=0
+ K(IDC,5)=KFDC(IDC,0)
+ DO 760 J=1,5
+ P(IDC,J)=0.
+ V(IDC,J)=0.
+ 760 CONTINUE
+ DO 770 I=1,KFDC(IDC,0)
+ KFM=KFDC(IDC,I)
+ KF=(KFM+1)/2
+ IF(2*KF.NE.KFM) KF=-KF
+ IF(I.LE.5) P(IDC,I)=KF
+ IF(I.GE.6) V(IDC,I-5)=KF
+ 770 CONTINUE
+ V(IDC,5)=FAC*NPDC(IDC)
+ 780 CONTINUE
+ N=NKFDC
+ DO 790 J=1,5
+ K(N+1,J)=0
+ P(N+1,J)=0.
+ V(N+1,J)=0.
+ 790 CONTINUE
+ K(N+1,1)=32
+ K(N+1,2)=99
+ K(N+1,5)=NEVDC
+ V(N+1,5)=FAC*NREDC
+ MSTU(3)=1
+ ENDIF
+
+C...Format statements for output on unit MSTU(11) (default 6).
+ 5000 FORMAT(///20X,'Event statistics - initial state'/
+ &20X,'based on an analysis of ',I6,' events'//
+ &3X,'Main flavours after',8X,'Fraction',4X,'Subfractions ',
+ &'according to fragmenting system multiplicity'/
+ &4X,'hard interaction',24X,'1',7X,'2',7X,'3',7X,'4',7X,'5',
+ &6X,'6-7',5X,'8-10',3X,'11-15',3X,'16-25',4X,'>25'/)
+ 5100 FORMAT(3X,A12,1X,A12,F10.5,1X,10F8.4)
+ 5200 FORMAT(///20X,'Event statistics - final state'/
+ &20X,'based on an analysis of ',I7,' events'//
+ &5X,'Mean primary multiplicity =',F10.4/
+ &5X,'Mean final multiplicity =',F10.4/
+ &5X,'Mean charged multiplicity =',F10.4//
+ &5X,'Number of particles produced per event (directly and via ',
+ &'decays/branchings)'/
+ &5X,'KF Particle/jet MDCY',10X,'Particles',13X,'Antiparticles',
+ &8X,'Total'/35X,'prim seco prim seco'/)
+ 5300 FORMAT(1X,I6,4X,A16,I2,5(1X,F11.6))
+ 5400 FORMAT(///20X,'Factorial moments analysis of multiplicity'/
+ &20X,'based on an analysis of ',I6,' events'//
+ &3X,'delta-',A3,' delta-phi <n>/bin',10X,'<F2>',18X,'<F3>',
+ &18X,'<F4>',18X,'<F5>'/35X,4(' value error '))
+ 5500 FORMAT(10X)
+ 5600 FORMAT(2X,2F10.4,F12.4,4(F12.4,F10.4))
+ 5700 FORMAT(///20X,'Energy-Energy Correlation and Asymmetry'/
+ &20X,'based on an analysis of ',I6,' events'//
+ &2X,'theta range',8X,'EEC(theta)',8X,'EEC(180-theta)',7X,
+ &'EECA(theta)'/2X,'in degrees ',3(' value error')/)
+ 5800 FORMAT(2X,F4.1,' - ',F4.1,3(F11.4,F9.4))
+ 5900 FORMAT(///20X,'Decay channel analysis - final state'/
+ &20X,'based on an analysis of ',I6,' events'//
+ &2X,'Probability',10X,'Complete final state'/)
+ 6000 FORMAT(2X,F9.5,5X,8(A12,1X))
+ 6100 FORMAT(2X,F9.5,5X,'into other channels (more than 8 particles ',
+ &'or table overflow)')
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYEEVT(KFL,ECM)
+
+C...Purpose: to handle the generation of an e+e- annihilation jet event.
+ IMPLICIT DOUBLE PRECISION(D)
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Check input parameters.
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ IF(KFL.LT.0.OR.KFL.GT.8) THEN
+ CALL LYERRM(16,'(LYEEVT:) called with unknown flavour code')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IF(KFL.LE.5) ECMMIN=PARJ(127)+2.02*PARF(100+MAX(1,KFL))
+ IF(KFL.GE.6) ECMMIN=PARJ(127)+2.02*PMAS(KFL,1)
+ IF(ECM.LT.ECMMIN) THEN
+ CALL LYERRM(16,'(LYEEVT:) called with too small CM energy')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Check consistency of MSTJ options set.
+ IF(MSTJ(109).EQ.2.AND.MSTJ(110).NE.1) THEN
+ CALL LYERRM(6,
+ & '(LYEEVT:) MSTJ(109) value requires MSTJ(110) = 1')
+ MSTJ(110)=1
+ ENDIF
+ IF(MSTJ(109).EQ.2.AND.MSTJ(111).NE.0) THEN
+ CALL LYERRM(6,
+ & '(LYEEVT:) MSTJ(109) value requires MSTJ(111) = 0')
+ MSTJ(111)=0
+ ENDIF
+
+C...Initialize alpha_strong and total cross-section.
+ MSTU(111)=MSTJ(108)
+ IF(MSTJ(108).EQ.2.AND.(MSTJ(101).EQ.0.OR.MSTJ(101).EQ.1))
+ &MSTU(111)=1
+ PARU(112)=PARJ(121)
+ IF(MSTU(111).EQ.2) PARU(112)=PARJ(122)
+ IF(MSTJ(116).GT.0.AND.(MSTJ(116).GE.2.OR.ABS(ECM-PARJ(151)).GE.
+ &PARJ(139).OR.10*MSTJ(102)+KFL.NE.MSTJ(119))) CALL LYXTOT(KFL,ECM,
+ &XTOT)
+ IF(MSTJ(116).GE.3) MSTJ(116)=1
+ PARJ(171)=0.
+
+C...Add initial e+e- to event record (documentation only).
+ NTRY=0
+ 100 NTRY=NTRY+1
+ IF(NTRY.GT.100) THEN
+ CALL LYERRM(14,'(LYEEVT:) caught in an infinite loop')
+ RETURN
+ ENDIF
+ MSTU(24)=0
+ NC=0
+ IF(MSTJ(115).GE.2) THEN
+ NC=NC+2
+ CALL LY1ENT(NC-1,11,0.5*ECM,0.,0.)
+ K(NC-1,1)=21
+ CALL LY1ENT(NC,-11,0.5*ECM,PARU(1),0.)
+ K(NC,1)=21
+ ENDIF
+
+C...Radiative photon (in initial state).
+ MK=0
+ ECMC=ECM
+ IF(MSTJ(107).GE.1.AND.MSTJ(116).GE.1) CALL LYRADK(ECM,MK,PAK,
+ &THEK,PHIK,ALPK)
+ IF(MK.EQ.1) ECMC=SQRT(ECM*(ECM-2.*PAK))
+ IF(MSTJ(115).GE.1.AND.MK.EQ.1) THEN
+ NC=NC+1
+ CALL LY1ENT(NC,22,PAK,THEK,PHIK)
+ K(NC,3)=MIN(MSTJ(115)/2,1)
+ ENDIF
+
+C...Virtual exchange boson (gamma or Z0).
+ IF(MSTJ(115).GE.3) THEN
+ NC=NC+1
+ KF=22
+ IF(MSTJ(102).EQ.2) KF=23
+ MSTU10=MSTU(10)
+ MSTU(10)=1
+ P(NC,5)=ECMC
+ CALL LY1ENT(NC,KF,ECMC,0.,0.)
+ K(NC,1)=21
+ K(NC,3)=1
+ MSTU(10)=MSTU10
+ ENDIF
+
+C...Choice of flavour and jet configuration.
+ CALL LYXKFL(KFL,ECM,ECMC,KFLC)
+ IF(KFLC.EQ.0) GOTO 100
+ CALL LYXJET(ECMC,NJET,CUT)
+ KFLN=21
+ IF(NJET.EQ.4) CALL LYX4JT(NJET,CUT,KFLC,ECMC,KFLN,X1,X2,X4,
+ &X12,X14)
+ IF(NJET.EQ.3) CALL LYX3JT(NJET,CUT,KFLC,ECMC,X1,X3)
+ IF(NJET.EQ.2) MSTJ(120)=1
+
+C...Fill jet configuration and origin.
+ IF(NJET.EQ.2.AND.MSTJ(101).NE.5) CALL LY2ENT(NC+1,KFLC,-KFLC,ECMC)
+ IF(NJET.EQ.2.AND.MSTJ(101).EQ.5) CALL LY2ENT(-(NC+1),KFLC,-KFLC,
+ &ECMC)
+ IF(NJET.EQ.3) CALL LY3ENT(NC+1,KFLC,21,-KFLC,ECMC,X1,X3)
+ IF(NJET.EQ.4.AND.KFLN.EQ.21) CALL LY4ENT(NC+1,KFLC,KFLN,KFLN,
+ &-KFLC,ECMC,X1,X2,X4,X12,X14)
+ IF(NJET.EQ.4.AND.KFLN.NE.21) CALL LY4ENT(NC+1,KFLC,-KFLN,KFLN,
+ &-KFLC,ECMC,X1,X2,X4,X12,X14)
+ IF(MSTU(24).NE.0) GOTO 100
+ DO 110 IP=NC+1,N
+ K(IP,3)=K(IP,3)+MIN(MSTJ(115)/2,1)+(MSTJ(115)/3)*(NC-1)
+ 110 CONTINUE
+
+C...Angular orientation according to matrix element.
+ IF(MSTJ(106).EQ.1) THEN
+ CALL LYXDIF(NC,NJET,KFLC,ECMC,CHI,THE,PHI)
+ CALL LUDBRB(NC+1,N,0.,CHI,0D0,0D0,0D0)
+ CALL LUDBRB(NC+1,N,THE,PHI,0D0,0D0,0D0)
+ ENDIF
+
+C...Rotation and boost from radiative photon.
+ IF(MK.EQ.1) THEN
+ DBEK=-PAK/(ECM-PAK)
+ NMIN=NC+1-MSTJ(115)/3
+ CALL LUDBRB(NMIN,N,0.,-PHIK,0D0,0D0,0D0)
+ CALL LUDBRB(NMIN,N,ALPK,0.,DBEK*SIN(THEK),0D0,DBEK*COS(THEK))
+ CALL LUDBRB(NMIN,N,0.,PHIK,0D0,0D0,0D0)
+ ENDIF
+
+C...Generate parton shower. Rearrange along strings and check.
+ IF(MSTJ(101).EQ.5) THEN
+ CALL LYSHOW(N-1,N,ECMC)
+ MSTJ14=MSTJ(14)
+ IF(MSTJ(105).EQ.-1) MSTJ(14)=-1
+ IF(MSTJ(105).GE.0) MSTU(28)=0
+ CALL LYPREP(0)
+ MSTJ(14)=MSTJ14
+ IF(MSTJ(105).GE.0.AND.MSTU(28).NE.0) GOTO 100
+ ENDIF
+
+C...Fragmentation/decay generation. Information for LYTABU.
+ IF(MSTJ(105).EQ.1) CALL LYEXEC
+ MSTU(161)=KFLC
+ MSTU(162)=-KFLC
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYXTOT(KFL,ECM,XTOT)
+
+C...Purpose: to calculate total cross-section, including initial
+C...state radiation effects.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT1/,/LYDAT2/
+
+C...Status, (optimized) Q^2 scale, alpha_strong.
+ PARJ(151)=ECM
+ MSTJ(119)=10*MSTJ(102)+KFL
+ IF(MSTJ(111).EQ.0) THEN
+ Q2R=ECM**2
+ ELSEIF(MSTU(111).EQ.0) THEN
+ PARJ(168)=MIN(1.,MAX(PARJ(128),EXP(-12.*PARU(1)/
+ & ((33.-2.*MSTU(112))*PARU(111)))))
+ Q2R=PARJ(168)*ECM**2
+ ELSE
+ PARJ(168)=MIN(1.,MAX(PARJ(128),PARU(112)/ECM,
+ & (2.*PARU(112)/ECM)**2))
+ Q2R=PARJ(168)*ECM**2
+ ENDIF
+ ALSPI=UYALPS(Q2R)/PARU(1)
+
+C...QCD corrections factor in R.
+ IF(MSTJ(101).EQ.0.OR.MSTJ(109).EQ.1) THEN
+ RQCD=1.
+ ELSEIF(IABS(MSTJ(101)).EQ.1.AND.MSTJ(109).EQ.0) THEN
+ RQCD=1.+ALSPI
+ ELSEIF(MSTJ(109).EQ.0) THEN
+ RQCD=1.+ALSPI+(1.986-0.115*MSTU(118))*ALSPI**2
+ IF(MSTJ(111).EQ.1) RQCD=MAX(1.,RQCD+(33.-2.*MSTU(112))/12.*
+ & LOG(PARJ(168))*ALSPI**2)
+ ELSEIF(IABS(MSTJ(101)).EQ.1) THEN
+ RQCD=1.+(3./4.)*ALSPI
+ ELSE
+ RQCD=1.+(3./4.)*ALSPI-(3./32.+0.519*MSTU(118))*ALSPI**2
+ ENDIF
+
+C...Calculate Z0 width if default value not acceptable.
+ IF(MSTJ(102).GE.3) THEN
+ RVA=3.*(3.+(4.*PARU(102)-1.)**2)+6.*RQCD*(2.+(1.-8.*PARU(102)/
+ & 3.)**2+(4.*PARU(102)/3.-1.)**2)
+ DO 100 KFLC=5,6
+ VQ=1.
+ IF(MOD(MSTJ(103),2).EQ.1) VQ=SQRT(MAX(0.,1.-(2.*UYMASS(KFLC)/
+ & ECM)**2))
+ IF(KFLC.EQ.5) VF=4.*PARU(102)/3.-1.
+ IF(KFLC.EQ.6) VF=1.-8.*PARU(102)/3.
+ RVA=RVA+3.*RQCD*(0.5*VQ*(3.-VQ**2)*VF**2+VQ**3)
+ 100 CONTINUE
+ PARJ(124)=PARU(101)*PARJ(123)*RVA/(48.*PARU(102)*(1.-PARU(102)))
+ ENDIF
+
+C...Calculate propagator and related constants for QFD case.
+ POLL=1.-PARJ(131)*PARJ(132)
+ IF(MSTJ(102).GE.2) THEN
+ SFF=1./(16.*PARU(102)*(1.-PARU(102)))
+ SFW=ECM**4/((ECM**2-PARJ(123)**2)**2+(PARJ(123)*PARJ(124))**2)
+ SFI=SFW*(1.-(PARJ(123)/ECM)**2)
+ VE=4.*PARU(102)-1.
+ SF1I=SFF*(VE*POLL+PARJ(132)-PARJ(131))
+ SF1W=SFF**2*((VE**2+1.)*POLL+2.*VE*(PARJ(132)-PARJ(131)))
+ HF1I=SFI*SF1I
+ HF1W=SFW*SF1W
+ ENDIF
+
+C...Loop over different flavours: charge, velocity.
+ RTOT=0.
+ RQQ=0.
+ RQV=0.
+ RVA=0.
+ DO 110 KFLC=1,MAX(MSTJ(104),KFL)
+ IF(KFL.GT.0.AND.KFLC.NE.KFL) GOTO 110
+ MSTJ(93)=1
+ PMQ=UYMASS(KFLC)
+ IF(ECM.LT.2.*PMQ+PARJ(127)) GOTO 110
+ QF=KCHG(KFLC,1)/3.
+ VQ=1.
+ IF(MOD(MSTJ(103),2).EQ.1) VQ=SQRT(1.-(2.*PMQ/ECM)**2)
+
+C...Calculate R and sum of charges for QED or QFD case.
+ RQQ=RQQ+3.*QF**2*POLL
+ IF(MSTJ(102).LE.1) THEN
+ RTOT=RTOT+3.*0.5*VQ*(3.-VQ**2)*QF**2*POLL
+ ELSE
+ VF=SIGN(1.,QF)-4.*QF*PARU(102)
+ RQV=RQV-6.*QF*VF*SF1I
+ RVA=RVA+3.*(VF**2+1.)*SF1W
+ RTOT=RTOT+3.*(0.5*VQ*(3.-VQ**2)*(QF**2*POLL-2.*QF*VF*HF1I+
+ & VF**2*HF1W)+VQ**3*HF1W)
+ ENDIF
+ 110 CONTINUE
+ RSUM=RQQ
+ IF(MSTJ(102).GE.2) RSUM=RQQ+SFI*RQV+SFW*RVA
+
+C...Calculate cross-section, including QCD corrections.
+ PARJ(141)=RQQ
+ PARJ(142)=RTOT
+ PARJ(143)=RTOT*RQCD
+ PARJ(144)=PARJ(143)
+ PARJ(145)=PARJ(141)*86.8/ECM**2
+ PARJ(146)=PARJ(142)*86.8/ECM**2
+ PARJ(147)=PARJ(143)*86.8/ECM**2
+ PARJ(148)=PARJ(147)
+ PARJ(157)=RSUM*RQCD
+ PARJ(158)=0.
+ PARJ(159)=0.
+ XTOT=PARJ(147)
+ IF(MSTJ(107).LE.0) RETURN
+
+C...Virtual cross-section.
+ XKL=PARJ(135)
+ XKU=MIN(PARJ(136),1.-(2.*PARJ(127)/ECM)**2)
+ ALE=2.*LOG(ECM/UYMASS(11))-1.
+ SIGV=ALE/3.+2.*LOG(ECM**2/(UYMASS(13)*UYMASS(15)))/3.-4./3.+
+ &1.526*LOG(ECM**2/0.932)
+
+C...Soft and hard radiative cross-section in QED case.
+ IF(MSTJ(102).LE.1) THEN
+ SIGV=1.5*ALE-0.5+PARU(1)**2/3.+2.*SIGV
+ SIGS=ALE*(2.*LOG(XKL)-LOG(1.-XKL)-XKL)
+ SIGH=ALE*(2.*LOG(XKU/XKL)-LOG((1.-XKU)/(1.-XKL))-(XKU-XKL))
+
+C...Soft and hard radiative cross-section in QFD case.
+ ELSE
+ SZM=1.-(PARJ(123)/ECM)**2
+ SZW=PARJ(123)*PARJ(124)/ECM**2
+ PARJ(161)=-RQQ/RSUM
+ PARJ(162)=-(RQQ+RQV+RVA)/RSUM
+ PARJ(163)=(RQV*(1.-0.5*SZM-SFI)+RVA*(1.5-SZM-SFW))/RSUM
+ PARJ(164)=(RQV*SZW**2*(1.-2.*SFW)+RVA*(2.*SFI+SZW**2-4.+3.*SZM-
+ & SZM**2))/(SZW*RSUM)
+ SIGV=1.5*ALE-0.5+PARU(1)**2/3.+((2.*RQQ+SFI*RQV)/RSUM)*SIGV+
+ & (SZW*SFW*RQV/RSUM)*PARU(1)*20./9.
+ SIGS=ALE*(2.*LOG(XKL)+PARJ(161)*LOG(1.-XKL)+PARJ(162)*XKL+
+ & PARJ(163)*LOG(((XKL-SZM)**2+SZW**2)/(SZM**2+SZW**2))+
+ & PARJ(164)*(ATAN((XKL-SZM)/SZW)-ATAN(-SZM/SZW)))
+ SIGH=ALE*(2.*LOG(XKU/XKL)+PARJ(161)*LOG((1.-XKU)/(1.-XKL))+
+ & PARJ(162)*(XKU-XKL)+PARJ(163)*LOG(((XKU-SZM)**2+SZW**2)/
+ & ((XKL-SZM)**2+SZW**2))+PARJ(164)*(ATAN((XKU-SZM)/SZW)-
+ & ATAN((XKL-SZM)/SZW)))
+ ENDIF
+
+C...Total cross-section and fraction of hard photon events.
+ PARJ(160)=SIGH/(PARU(1)/PARU(101)+SIGV+SIGS+SIGH)
+ PARJ(157)=RSUM*(1.+(PARU(101)/PARU(1))*(SIGV+SIGS+SIGH))*RQCD
+ PARJ(144)=PARJ(157)
+ PARJ(148)=PARJ(144)*86.8/ECM**2
+ XTOT=PARJ(148)
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYRADK(ECM,MK,PAK,THEK,PHIK,ALPK)
+
+C...Purpose: to generate initial state photon radiation.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+
+C...Function: cumulative hard photon spectrum in QFD case.
+ FXK(XX)=2.*LOG(XX)+PARJ(161)*LOG(1.-XX)+PARJ(162)*XX+
+ &PARJ(163)*LOG((XX-SZM)**2+SZW**2)+PARJ(164)*ATAN((XX-SZM)/SZW)
+
+C...Determine whether radiative photon or not.
+ MK=0
+ PAK=0.
+ IF(PARJ(160).LT.RLY(0)) RETURN
+ MK=1
+
+C...Photon energy range. Find photon momentum in QED case.
+ XKL=PARJ(135)
+ XKU=MIN(PARJ(136),1.-(2.*PARJ(127)/ECM)**2)
+ IF(MSTJ(102).LE.1) THEN
+ 100 XK=1./(1.+(1./XKL-1.)*((1./XKU-1.)/(1./XKL-1.))**RLY(0))
+ IF(1.+(1.-XK)**2.LT.2.*RLY(0)) GOTO 100
+
+C...Ditto in QFD case, by numerical inversion of integrated spectrum.
+ ELSE
+ SZM=1.-(PARJ(123)/ECM)**2
+ SZW=PARJ(123)*PARJ(124)/ECM**2
+ FXKL=FXK(XKL)
+ FXKU=FXK(XKU)
+ FXKD=1E-4*(FXKU-FXKL)
+ FXKR=FXKL+RLY(0)*(FXKU-FXKL)
+ NXK=0
+ 110 NXK=NXK+1
+ XK=0.5*(XKL+XKU)
+ FXKV=FXK(XK)
+ IF(FXKV.GT.FXKR) THEN
+ XKU=XK
+ FXKU=FXKV
+ ELSE
+ XKL=XK
+ FXKL=FXKV
+ ENDIF
+ IF(NXK.LT.15.AND.FXKU-FXKL.GT.FXKD) GOTO 110
+ XK=XKL+(XKU-XKL)*(FXKR-FXKL)/(FXKU-FXKL)
+ ENDIF
+ PAK=0.5*ECM*XK
+
+C...Photon polar and azimuthal angle.
+ PME=2.*(UYMASS(11)/ECM)**2
+ 120 CTHM=PME*(2./PME)**RLY(0)
+ IF(1.-(XK**2*CTHM*(1.-0.5*CTHM)+2.*(1.-XK)*PME/MAX(PME,
+ &CTHM*(1.-0.5*CTHM)))/(1.+(1.-XK)**2).LT.RLY(0)) GOTO 120
+ CTHE=1.-CTHM
+ IF(RLY(0).GT.0.5) CTHE=-CTHE
+ STHE=SQRT(MAX(0.,(CTHM-PME)*(2.-CTHM)))
+ THEK=UYANGL(CTHE,STHE)
+ PHIK=PARU(2)*RLY(0)
+
+C...Rotation angle for hadronic system.
+ SGN=1.
+ IF(0.5*(2.-XK*(1.-CTHE))**2/((2.-XK)**2+(XK*CTHE)**2).GT.
+ &RLY(0)) SGN=-1.
+ ALPK=ASIN(SGN*STHE*(XK-SGN*(2.*SQRT(1.-XK)-2.+XK)*CTHE)/
+ &(2.-XK*(1.-SGN*CTHE)))
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYXKFL(KFL,ECM,ECMC,KFLC)
+
+C...Purpose: to select flavour for produced qqbar pair.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYDAT1/,/LYDAT2/
+
+C...Calculate maximum weight in QED or QFD case.
+ IF(MSTJ(102).LE.1) THEN
+ RFMAX=4./9.
+ ELSE
+ POLL=1.-PARJ(131)*PARJ(132)
+ SFF=1./(16.*PARU(102)*(1.-PARU(102)))
+ SFW=ECMC**4/((ECMC**2-PARJ(123)**2)**2+(PARJ(123)*PARJ(124))**2)
+ SFI=SFW*(1.-(PARJ(123)/ECMC)**2)
+ VE=4.*PARU(102)-1.
+ HF1I=SFI*SFF*(VE*POLL+PARJ(132)-PARJ(131))
+ HF1W=SFW*SFF**2*((VE**2+1.)*POLL+2.*VE*(PARJ(132)-PARJ(131)))
+ RFMAX=MAX(4./9.*POLL-4./3.*(1.-8.*PARU(102)/3.)*HF1I+
+ & ((1.-8.*PARU(102)/3.)**2+1.)*HF1W,1./9.*POLL+2./3.*
+ & (-1.+4.*PARU(102)/3.)*HF1I+((-1.+4.*PARU(102)/3.)**2+1.)*HF1W)
+ ENDIF
+
+C...Choose flavour. Gives charge and velocity.
+ NTRY=0
+ 100 NTRY=NTRY+1
+ IF(NTRY.GT.100) THEN
+ CALL LYERRM(14,'(LYXKFL:) caught in an infinite loop')
+ KFLC=0
+ RETURN
+ ENDIF
+ KFLC=KFL
+ IF(KFL.LE.0) KFLC=1+INT(MSTJ(104)*RLY(0))
+ MSTJ(93)=1
+ PMQ=UYMASS(KFLC)
+ IF(ECM.LT.2.*PMQ+PARJ(127)) GOTO 100
+ QF=KCHG(KFLC,1)/3.
+ VQ=1.
+ IF(MOD(MSTJ(103),2).EQ.1) VQ=SQRT(MAX(0.,1.-(2.*PMQ/ECMC)**2))
+
+C...Calculate weight in QED or QFD case.
+ IF(MSTJ(102).LE.1) THEN
+ RF=QF**2
+ RFV=0.5*VQ*(3.-VQ**2)*QF**2
+ ELSE
+ VF=SIGN(1.,QF)-4.*QF*PARU(102)
+ RF=QF**2*POLL-2.*QF*VF*HF1I+(VF**2+1.)*HF1W
+ RFV=0.5*VQ*(3.-VQ**2)*(QF**2*POLL-2.*QF*VF*HF1I+VF**2*HF1W)+
+ & VQ**3*HF1W
+ IF(RFV.GT.0.) PARJ(171)=MIN(1.,VQ**3*HF1W/RFV)
+ ENDIF
+
+C...Weighting or new event (radiative photon). Cross-section update.
+ IF(KFL.LE.0.AND.RF.LT.RLY(0)*RFMAX) GOTO 100
+ PARJ(158)=PARJ(158)+1.
+ IF(ECMC.LT.2.*PMQ+PARJ(127).OR.RFV.LT.RLY(0)*RF) KFLC=0
+ IF(MSTJ(107).LE.0.AND.KFLC.EQ.0) GOTO 100
+ IF(KFLC.NE.0) PARJ(159)=PARJ(159)+1.
+ PARJ(144)=PARJ(157)*PARJ(159)/PARJ(158)
+ PARJ(148)=PARJ(144)*86.8/ECM**2
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYXJET(ECM,NJET,CUT)
+
+C...Purpose: to select number of jets in matrix element approach.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+ DIMENSION ZHUT(5)
+
+C...Relative three-jet rate in Zhu second order parametrization.
+ DATA ZHUT/3.0922, 6.2291, 7.4782, 7.8440, 8.2560/
+
+C...Trivial result for two-jets only, including parton shower.
+ IF(MSTJ(101).EQ.0.OR.MSTJ(101).EQ.5) THEN
+ CUT=0.
+
+C...QCD and Abelian vector gluon theory: Q^2 for jet rate and R.
+ ELSEIF(MSTJ(109).EQ.0.OR.MSTJ(109).EQ.2) THEN
+ CF=4./3.
+ IF(MSTJ(109).EQ.2) CF=1.
+ IF(MSTJ(111).EQ.0) THEN
+ Q2=ECM**2
+ Q2R=ECM**2
+ ELSEIF(MSTU(111).EQ.0) THEN
+ PARJ(169)=MIN(1.,PARJ(129))
+ Q2=PARJ(169)*ECM**2
+ PARJ(168)=MIN(1.,MAX(PARJ(128),EXP(-12.*PARU(1)/
+ & ((33.-2.*MSTU(112))*PARU(111)))))
+ Q2R=PARJ(168)*ECM**2
+ ELSE
+ PARJ(169)=MIN(1.,MAX(PARJ(129),(2.*PARU(112)/ECM)**2))
+ Q2=PARJ(169)*ECM**2
+ PARJ(168)=MIN(1.,MAX(PARJ(128),PARU(112)/ECM,
+ & (2.*PARU(112)/ECM)**2))
+ Q2R=PARJ(168)*ECM**2
+ ENDIF
+
+C...alpha_strong for R and R itself.
+ ALSPI=(3./4.)*CF*UYALPS(Q2R)/PARU(1)
+ IF(IABS(MSTJ(101)).EQ.1) THEN
+ RQCD=1.+ALSPI
+ ELSEIF(MSTJ(109).EQ.0) THEN
+ RQCD=1.+ALSPI+(1.986-0.115*MSTU(118))*ALSPI**2
+ IF(MSTJ(111).EQ.1) RQCD=MAX(1.,RQCD+(33.-2.*MSTU(112))/12.*
+ & LOG(PARJ(168))*ALSPI**2)
+ ELSE
+ RQCD=1.+ALSPI-(3./32.+0.519*MSTU(118))*(4.*ALSPI/3.)**2
+ ENDIF
+
+C...alpha_strong for jet rate. Initial value for y cut.
+ ALSPI=(3./4.)*CF*UYALPS(Q2)/PARU(1)
+ CUT=MAX(0.001,PARJ(125),(PARJ(126)/ECM)**2)
+ IF(IABS(MSTJ(101)).LE.1.OR.(MSTJ(109).EQ.0.AND.MSTJ(111).EQ.0))
+ & CUT=MAX(CUT,EXP(-SQRT(0.75/ALSPI))/2.)
+ IF(MSTJ(110).EQ.2) CUT=MAX(0.01,MIN(0.05,CUT))
+
+C...Parametrization of first order three-jet cross-section.
+ 100 IF(MSTJ(101).EQ.0.OR.CUT.GE.0.25) THEN
+ PARJ(152)=0.
+ ELSE
+ PARJ(152)=(2.*ALSPI/3.)*((3.-6.*CUT+2.*LOG(CUT))*
+ & LOG(CUT/(1.-2.*CUT))+(2.5+1.5*CUT-6.571)*(1.-3.*CUT)+
+ & 5.833*(1.-3.*CUT)**2-3.894*(1.-3.*CUT)**3+
+ & 1.342*(1.-3.*CUT)**4)/RQCD
+ IF(MSTJ(109).EQ.2.AND.(MSTJ(101).EQ.2.OR.MSTJ(101).LE.-2))
+ & PARJ(152)=0.
+ ENDIF
+
+C...Parametrization of second order three-jet cross-section.
+ IF(IABS(MSTJ(101)).LE.1.OR.MSTJ(101).EQ.3.OR.MSTJ(109).EQ.2.OR.
+ & CUT.GE.0.25) THEN
+ PARJ(153)=0.
+ ELSEIF(MSTJ(110).LE.1) THEN
+ CT=LOG(1./CUT-2.)
+ PARJ(153)=ALSPI**2*CT**2*(2.419+0.5989*CT+0.6782*CT**2-
+ & 0.2661*CT**3+0.01159*CT**4)/RQCD
+
+C...Interpolation in second/first order ratio for Zhu parametrization.
+ ELSEIF(MSTJ(110).EQ.2) THEN
+ IZA=0
+ DO 110 IY=1,5
+ IF(ABS(CUT-0.01*IY).LT.0.0001) IZA=IY
+ 110 CONTINUE
+ IF(IZA.NE.0) THEN
+ ZHURAT=ZHUT(IZA)
+ ELSE
+ IZ=100.*CUT
+ ZHURAT=ZHUT(IZ)+(100.*CUT-IZ)*(ZHUT(IZ+1)-ZHUT(IZ))
+ ENDIF
+ PARJ(153)=ALSPI*PARJ(152)*ZHURAT
+ ENDIF
+
+C...Shift in second order three-jet cross-section with optimized Q^2.
+ IF(MSTJ(111).EQ.1.AND.IABS(MSTJ(101)).GE.2.AND.MSTJ(101).NE.3.
+ & AND.CUT.LT.0.25) PARJ(153)=PARJ(153)+(33.-2.*MSTU(112))/12.*
+ & LOG(PARJ(169))*ALSPI*PARJ(152)
+
+C...Parametrization of second order four-jet cross-section.
+ IF(IABS(MSTJ(101)).LE.1.OR.CUT.GE.0.125) THEN
+ PARJ(154)=0.
+ ELSE
+ CT=LOG(1./CUT-5.)
+ IF(CUT.LE.0.018) THEN
+ XQQGG=6.349-4.330*CT+0.8304*CT**2
+ IF(MSTJ(109).EQ.2) XQQGG=(4./3.)**2*(3.035-2.091*CT+
+ & 0.4059*CT**2)
+ XQQQQ=1.25*(-0.1080+0.01486*CT+0.009364*CT**2)
+ IF(MSTJ(109).EQ.2) XQQQQ=8.*XQQQQ
+ ELSE
+ XQQGG=-0.09773+0.2959*CT-0.2764*CT**2+0.08832*CT**3
+ IF(MSTJ(109).EQ.2) XQQGG=(4./3.)**2*(-0.04079+0.1340*CT-
+ & 0.1326*CT**2+0.04365*CT**3)
+ XQQQQ=1.25*(0.003661-0.004888*CT-0.001081*CT**2+0.002093*
+ & CT**3)
+ IF(MSTJ(109).EQ.2) XQQQQ=8.*XQQQQ
+ ENDIF
+ PARJ(154)=ALSPI**2*CT**2*(XQQGG+XQQQQ)/RQCD
+ PARJ(155)=XQQQQ/(XQQGG+XQQQQ)
+ ENDIF
+
+C...If negative three-jet rate, change y' optimization parameter.
+ IF(MSTJ(111).EQ.1.AND.PARJ(152)+PARJ(153).LT.0..AND.
+ & PARJ(169).LT.0.99) THEN
+ PARJ(169)=MIN(1.,1.2*PARJ(169))
+ Q2=PARJ(169)*ECM**2
+ ALSPI=(3./4.)*CF*UYALPS(Q2)/PARU(1)
+ GOTO 100
+ ENDIF
+
+C...If too high cross-section, use harder cuts, or fail.
+ IF(PARJ(152)+PARJ(153)+PARJ(154).GE.1) THEN
+ IF(MSTJ(110).EQ.2.AND.CUT.GT.0.0499.AND.MSTJ(111).EQ.1.AND.
+ & PARJ(169).LT.0.99) THEN
+ PARJ(169)=MIN(1.,1.2*PARJ(169))
+ Q2=PARJ(169)*ECM**2
+ ALSPI=(3./4.)*CF*UYALPS(Q2)/PARU(1)
+ GOTO 100
+ ELSEIF(MSTJ(110).EQ.2.AND.CUT.GT.0.0499) THEN
+ CALL LYERRM(26,
+ & '(LYXJET:) no allowed y cut value for Zhu parametrization')
+ ENDIF
+ CUT=0.26*(4.*CUT)**(PARJ(152)+PARJ(153)+PARJ(154))**(-1./3.)
+ IF(MSTJ(110).EQ.2) CUT=MAX(0.01,MIN(0.05,CUT))
+ GOTO 100
+ ENDIF
+
+C...Scalar gluon (first order only).
+ ELSE
+ ALSPI=UYALPS(ECM**2)/PARU(1)
+ CUT=MAX(0.001,PARJ(125),(PARJ(126)/ECM)**2,EXP(-3./ALSPI))
+ PARJ(152)=0.
+ IF(CUT.LT.0.25) PARJ(152)=(ALSPI/3.)*((1.-2.*CUT)*
+ & LOG((1.-2.*CUT)/CUT)+0.5*(9.*CUT**2-1.))
+ PARJ(153)=0.
+ PARJ(154)=0.
+ ENDIF
+
+C...Select number of jets.
+ PARJ(150)=CUT
+ IF(MSTJ(101).EQ.0.OR.MSTJ(101).EQ.5) THEN
+ NJET=2
+ ELSEIF(MSTJ(101).LE.0) THEN
+ NJET=MIN(4,2-MSTJ(101))
+ ELSE
+ RNJ=RLY(0)
+ NJET=2
+ IF(PARJ(152)+PARJ(153)+PARJ(154).GT.RNJ) NJET=3
+ IF(PARJ(154).GT.RNJ) NJET=4
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYX3JT(NJET,CUT,KFL,ECM,X1,X2)
+
+C...Purpose: to select the kinematical variables of three-jet events.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+ DIMENSION ZHUP(5,12)
+
+C...Coefficients of Zhu second order parametrization.
+ DATA ((ZHUP(IC1,IC2),IC2=1,12),IC1=1,5)/
+ & 18.29, 89.56, 4.541, -52.09, -109.8, 24.90,
+ & 11.63, 3.683, 17.50, 0.002440, -1.362, -0.3537,
+ & 11.42, 6.299, -22.55, -8.915, 59.25, -5.855,
+ & -32.85, -1.054, -16.90, 0.006489, -0.8156, 0.01095,
+ & 7.847, -3.964, -35.83, 1.178, 29.39, 0.2806,
+ & 47.82, -12.36, -56.72, 0.04054, -0.4365, 0.6062,
+ & 5.441, -56.89, -50.27, 15.13, 114.3, -18.19,
+ & 97.05, -1.890, -139.9, 0.08153, -0.4984, 0.9439,
+ & -17.65, 51.44, -58.32, 70.95, -255.7, -78.99,
+ & 476.9, 29.65, -239.3, 0.4745, -1.174, 6.081/
+
+C...Dilogarithm of x for x<0.5 (x>0.5 obtained by analytic trick).
+ DILOG(X)=X+X**2/4.+X**3/9.+X**4/16.+X**5/25.+X**6/36.+X**7/49.
+
+C...Event type. Mass effect factors and other common constants.
+ MSTJ(120)=2
+ MSTJ(121)=0
+ PMQ=UYMASS(KFL)
+ QME=(2.*PMQ/ECM)**2
+ IF(MSTJ(109).NE.1) THEN
+ CUTL=LOG(CUT)
+ CUTD=LOG(1./CUT-2.)
+ IF(MSTJ(109).EQ.0) THEN
+ CF=4./3.
+ CN=3.
+ TR=2.
+ WTMX=MIN(20.,37.-6.*CUTD)
+ IF(MSTJ(110).EQ.2) WTMX=2.*(7.5+80.*CUT)
+ ELSE
+ CF=1.
+ CN=0.
+ TR=12.
+ WTMX=0.
+ ENDIF
+
+C...Alpha_strong and effects of optimized Q^2 scale. Maximum weight.
+ ALS2PI=PARU(118)/PARU(2)
+ WTOPT=0.
+ IF(MSTJ(111).EQ.1) WTOPT=(33.-2.*MSTU(112))/6.*LOG(PARJ(169))*
+ & ALS2PI
+ WTMAX=MAX(0.,1.+WTOPT+ALS2PI*WTMX)
+
+C...Choose three-jet events in allowed region.
+ 100 NJET=3
+ 110 Y13L=CUTL+CUTD*RLY(0)
+ Y23L=CUTL+CUTD*RLY(0)
+ Y13=EXP(Y13L)
+ Y23=EXP(Y23L)
+ Y12=1.-Y13-Y23
+ IF(Y12.LE.CUT) GOTO 110
+ IF(Y13**2+Y23**2+2.*Y12.LE.2.*RLY(0)) GOTO 110
+
+C...Second order corrections.
+ IF(MSTJ(101).EQ.2.AND.MSTJ(110).LE.1) THEN
+ Y12L=LOG(Y12)
+ Y13M=LOG(1.-Y13)
+ Y23M=LOG(1.-Y23)
+ Y12M=LOG(1.-Y12)
+ IF(Y13.LE.0.5) Y13I=DILOG(Y13)
+ IF(Y13.GE.0.5) Y13I=1.644934-Y13L*Y13M-DILOG(1.-Y13)
+ IF(Y23.LE.0.5) Y23I=DILOG(Y23)
+ IF(Y23.GE.0.5) Y23I=1.644934-Y23L*Y23M-DILOG(1.-Y23)
+ IF(Y12.LE.0.5) Y12I=DILOG(Y12)
+ IF(Y12.GE.0.5) Y12I=1.644934-Y12L*Y12M-DILOG(1.-Y12)
+ WT1=(Y13**2+Y23**2+2.*Y12)/(Y13*Y23)
+ WT2=CF*(-2.*(CUTL-Y12L)**2-3.*CUTL-1.+3.289868+
+ & 2.*(2.*CUTL-Y12L)*CUT/Y12)+
+ & CN*((CUTL-Y12L)**2-(CUTL-Y13L)**2-(CUTL-Y23L)**2-11.*CUTL/6.+
+ & 67./18.+1.644934-(2.*CUTL-Y12L)*CUT/Y12+(2.*CUTL-Y13L)*
+ & CUT/Y13+(2.*CUTL-Y23L)*CUT/Y23)+
+ & TR*(2.*CUTL/3.-10./9.)+
+ & CF*(Y12/(Y12+Y13)+Y12/(Y12+Y23)+(Y12+Y23)/Y13+(Y12+Y13)/Y23+
+ & Y13L*(4.*Y12**2+2.*Y12*Y13+4.*Y12*Y23+Y13*Y23)/(Y12+Y23)**2+
+ & Y23L*(4.*Y12**2+2.*Y12*Y23+4.*Y12*Y13+Y13*Y23)/(Y12+Y13)**2)/
+ & WT1+
+ & CN*(Y13L*Y13/(Y12+Y23)+Y23L*Y23/(Y12+Y13))/WT1+
+ & (CN-2.*CF)*((Y12**2+(Y12+Y13)**2)*(Y12L*Y23L-Y12L*Y12M-Y23L*
+ & Y23M+1.644934-Y12I-Y23I)/(Y13*Y23)+(Y12**2+(Y12+Y23)**2)*
+ & (Y12L*Y13L-Y12L*Y12M-Y13L*Y13M+1.644934-Y12I-Y13I)/
+ & (Y13*Y23)+(Y13**2+Y23**2)/(Y13*Y23*(Y13+Y23))-
+ & 2.*Y12L*Y12**2/(Y13+Y23)**2-4.*Y12L*Y12/(Y13+Y23))/WT1-
+ & CN*(Y13L*Y23L-Y13L*Y13M-Y23L*Y23M+1.644934-Y13I-Y23I)
+ IF(1.+WTOPT+ALS2PI*WT2.LE.0.) MSTJ(121)=1
+ IF(1.+WTOPT+ALS2PI*WT2.LE.WTMAX*RLY(0)) GOTO 110
+ PARJ(156)=(WTOPT+ALS2PI*WT2)/(1.+WTOPT+ALS2PI*WT2)
+
+ ELSEIF(MSTJ(101).EQ.2.AND.MSTJ(110).EQ.2) THEN
+C...Second order corrections; Zhu parametrization of ERT.
+ ZX=(Y23-Y13)**2
+ ZY=1.-Y12
+ IZA=0
+ DO 120 IY=1,5
+ IF(ABS(CUT-0.01*IY).LT.0.0001) IZA=IY
+ 120 CONTINUE
+ IF(IZA.NE.0) THEN
+ IZ=IZA
+ WT2=ZHUP(IZ,1)+ZHUP(IZ,2)*ZX+ZHUP(IZ,3)*ZX**2+(ZHUP(IZ,4)+
+ & ZHUP(IZ,5)*ZX)*ZY+(ZHUP(IZ,6)+ZHUP(IZ,7)*ZX)*ZY**2+
+ & (ZHUP(IZ,8)+ZHUP(IZ,9)*ZX)*ZY**3+ZHUP(IZ,10)/(ZX-ZY**2)+
+ & ZHUP(IZ,11)/(1.-ZY)+ZHUP(IZ,12)/ZY
+ ELSE
+ IZ=100.*CUT
+ WTL=ZHUP(IZ,1)+ZHUP(IZ,2)*ZX+ZHUP(IZ,3)*ZX**2+(ZHUP(IZ,4)+
+ & ZHUP(IZ,5)*ZX)*ZY+(ZHUP(IZ,6)+ZHUP(IZ,7)*ZX)*ZY**2+
+ & (ZHUP(IZ,8)+ZHUP(IZ,9)*ZX)*ZY**3+ZHUP(IZ,10)/(ZX-ZY**2)+
+ & ZHUP(IZ,11)/(1.-ZY)+ZHUP(IZ,12)/ZY
+ IZ=IZ+1
+ WTU=ZHUP(IZ,1)+ZHUP(IZ,2)*ZX+ZHUP(IZ,3)*ZX**2+(ZHUP(IZ,4)+
+ & ZHUP(IZ,5)*ZX)*ZY+(ZHUP(IZ,6)+ZHUP(IZ,7)*ZX)*ZY**2+
+ & (ZHUP(IZ,8)+ZHUP(IZ,9)*ZX)*ZY**3+ZHUP(IZ,10)/(ZX-ZY**2)+
+ & ZHUP(IZ,11)/(1.-ZY)+ZHUP(IZ,12)/ZY
+ WT2=WTL+(WTU-WTL)*(100.*CUT+1.-IZ)
+ ENDIF
+ IF(1.+WTOPT+2.*ALS2PI*WT2.LE.0.) MSTJ(121)=1
+ IF(1.+WTOPT+2.*ALS2PI*WT2.LE.WTMAX*RLY(0)) GOTO 110
+ PARJ(156)=(WTOPT+2.*ALS2PI*WT2)/(1.+WTOPT+2.*ALS2PI*WT2)
+ ENDIF
+
+C...Impose mass cuts (gives two jets). For fixed jet number new try.
+ X1=1.-Y23
+ X2=1.-Y13
+ X3=1.-Y12
+ IF(4.*Y23*Y13*Y12/X3**2.LE.QME) NJET=2
+ IF(MOD(MSTJ(103),4).GE.2.AND.IABS(MSTJ(101)).LE.1.AND.QME*X3+
+ & 0.5*QME**2+(0.5*QME+0.25*QME**2)*((1.-X2)/(1.-X1)+
+ & (1.-X1)/(1.-X2)).GT.(X1**2+X2**2)*RLY(0)) NJET=2
+ IF(MSTJ(101).EQ.-1.AND.NJET.EQ.2) GOTO 100
+
+C...Scalar gluon model (first order only, no mass effects).
+ ELSE
+ 130 NJET=3
+ 140 X3=SQRT(4.*CUT**2+RLY(0)*((1.-CUT)**2-4.*CUT**2))
+ IF(LOG((X3-CUT)/CUT).LE.RLY(0)*LOG((1.-2.*CUT)/CUT)) GOTO 140
+ YD=SIGN(2.*CUT*((X3-CUT)/CUT)**RLY(0)-X3,RLY(0)-0.5)
+ X1=1.-0.5*(X3+YD)
+ X2=1.-0.5*(X3-YD)
+ IF(4.*(1.-X1)*(1.-X2)*(1.-X3)/X3**2.LE.QME) NJET=2
+ IF(MSTJ(102).GE.2) THEN
+ IF(X3**2-2.*(1.+X3)*(1.-X1)*(1.-X2)*PARJ(171).LT.
+ & X3**2*RLY(0)) NJET=2
+ ENDIF
+ IF(MSTJ(101).EQ.-1.AND.NJET.EQ.2) GOTO 130
+ ENDIF
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYX4JT(NJET,CUT,KFL,ECM,KFLN,X1,X2,X4,X12,X14)
+
+C...Purpose: to select the kinematical variables of four-jet events.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+ DIMENSION WTA(4),WTB(4),WTC(4),WTD(4),WTE(4)
+
+C...Common constants. Colour factors for QCD and Abelian gluon theory.
+ PMQ=UYMASS(KFL)
+ QME=(2.*PMQ/ECM)**2
+ CT=LOG(1./CUT-5.)
+ IF(MSTJ(109).EQ.0) THEN
+ CF=4./3.
+ CN=3.
+ TR=2.5
+ ELSE
+ CF=1.
+ CN=0.
+ TR=15.
+ ENDIF
+
+C...Choice of process (qqbargg or qqbarqqbar).
+ 100 NJET=4
+ IT=1
+ IF(PARJ(155).GT.RLY(0)) IT=2
+ IF(MSTJ(101).LE.-3) IT=-MSTJ(101)-2
+ IF(IT.EQ.1) WTMX=0.7/CUT**2
+ IF(IT.EQ.1.AND.MSTJ(109).EQ.2) WTMX=0.6/CUT**2
+ IF(IT.EQ.2) WTMX=0.1125*CF*TR/CUT**2
+ ID=1
+
+C...Sample the five kinematical variables (for qqgg preweighted in y34).
+ 110 Y134=3.*CUT+(1.-6.*CUT)*RLY(0)
+ Y234=3.*CUT+(1.-6.*CUT)*RLY(0)
+ IF(IT.EQ.1) Y34=(1.-5.*CUT)*EXP(-CT*RLY(0))
+ IF(IT.EQ.2) Y34=CUT+(1.-6.*CUT)*RLY(0)
+ IF(Y34.LE.Y134+Y234-1..OR.Y34.GE.Y134*Y234) GOTO 110
+ VT=RLY(0)
+ CP=COS(PARU(1)*RLY(0))
+ Y14=(Y134-Y34)*VT
+ Y13=Y134-Y14-Y34
+ VB=Y34*(1.-Y134-Y234+Y34)/((Y134-Y34)*(Y234-Y34))
+ Y24=0.5*(Y234-Y34)*(1.-4.*SQRT(MAX(0.,VT*(1.-VT)*VB*(1.-VB)))*
+ &CP-(1.-2.*VT)*(1.-2.*VB))
+ Y23=Y234-Y34-Y24
+ Y12=1.-Y134-Y23-Y24
+ IF(MIN(Y12,Y13,Y14,Y23,Y24).LE.CUT) GOTO 110
+ Y123=Y12+Y13+Y23
+ Y124=Y12+Y14+Y24
+
+C...Calculate matrix elements for qqgg or qqqq process.
+ IC=0
+ WTTOT=0.
+ 120 IC=IC+1
+ IF(IT.EQ.1) THEN
+ WTA(IC)=(Y12*Y34**2-Y13*Y24*Y34+Y14*Y23*Y34+3.*Y12*Y23*Y34+
+ & 3.*Y12*Y14*Y34+4.*Y12**2*Y34-Y13*Y23*Y24+2.*Y12*Y23*Y24-
+ & Y13*Y14*Y24-2.*Y12*Y13*Y24+2.*Y12**2*Y24+Y14*Y23**2+2.*Y12*
+ & Y23**2+Y14**2*Y23+4.*Y12*Y14*Y23+4.*Y12**2*Y23+2.*Y12*Y14**2+
+ & 2.*Y12*Y13*Y14+4.*Y12**2*Y14+2.*Y12**2*Y13+2.*Y12**3)/(2.*Y13*
+ & Y134*Y234*Y24)+(Y24*Y34+Y12*Y34+Y13*Y24-Y14*Y23+Y12*Y13)/(Y13*
+ & Y134**2)+2.*Y23*(1.-Y13)/(Y13*Y134*Y24)+Y34/(2.*Y13*Y24)
+ WTB(IC)=(Y12*Y24*Y34+Y12*Y14*Y34-Y13*Y24**2+Y13*Y14*Y24+2.*Y12*
+ & Y14*Y24)/(Y13*Y134*Y23*Y14)+Y12*(1.+Y34)*Y124/(Y134*Y234*Y14*
+ & Y24)-(2.*Y13*Y24+Y14**2+Y13*Y23+2.*Y12*Y13)/(Y13*Y134*Y14)+
+ & Y12*Y123*Y124/(2.*Y13*Y14*Y23*Y24)
+ WTC(IC)=-(5.*Y12*Y34**2+2.*Y12*Y24*Y34+2.*Y12*Y23*Y34+2.*Y12*
+ & Y14*Y34+2.*Y12*Y13*Y34+4.*Y12**2*Y34-Y13*Y24**2+Y14*Y23*Y24+
+ & Y13*Y23*Y24+Y13*Y14*Y24-Y12*Y14*Y24-Y13**2*Y24-3.*Y12*Y13*Y24-
+ & Y14*Y23**2-Y14**2*Y23+Y13*Y14*Y23-3.*Y12*Y14*Y23-Y12*Y13*Y23)/
+ & (4.*Y134*Y234*Y34**2)+(3.*Y12*Y34**2-3.*Y13*Y24*Y34+3.*Y12*Y24*
+ & Y34+3.*Y14*Y23*Y34-Y13*Y24**2-Y12*Y23*Y34+6.*Y12*Y14*Y34+2.*Y12*
+ & Y13*Y34-2.*Y12**2*Y34+Y14*Y23*Y24-3.*Y13*Y23*Y24-2.*Y13*Y14*
+ & Y24+4.*Y12*Y14*Y24+2.*Y12*Y13*Y24+3.*Y14*Y23**2+2.*Y14**2*Y23+
+ & 2.*Y14**2*Y12+2.*Y12**2*Y14+6.*Y12*Y14*Y23-2.*Y12*Y13**2-
+ & 2.*Y12**2*Y13)/(4.*Y13*Y134*Y234*Y34)
+ WTC(IC)=WTC(IC)+(2.*Y12*Y34**2-2.*Y13*Y24*Y34+Y12*Y24*Y34+
+ & 4.*Y13*Y23*Y34+4.*Y12*Y14*Y34+2.*Y12*Y13*Y34+2.*Y12**2*Y34-
+ & Y13*Y24**2+3.*Y14*Y23*Y24+4.*Y13*Y23*Y24-2.*Y13*Y14*Y24+
+ & 4.*Y12*Y14*Y24+2.*Y12*Y13*Y24+2.*Y14*Y23**2+4.*Y13*Y23**2+
+ & 2.*Y13*Y14*Y23+2.*Y12*Y14*Y23+4.*Y12*Y13*Y23+2.*Y12*Y14**2+4.*
+ & Y12**2*Y13+4.*Y12*Y13*Y14+2.*Y12**2*Y14)/(4.*Y13*Y134*Y24*Y34)-
+ & (Y12*Y34**2-2.*Y14*Y24*Y34-2.*Y13*Y24*Y34-Y14*Y23*Y34+Y13*Y23*
+ & Y34+Y12*Y14*Y34+2.*Y12*Y13*Y34-2.*Y14**2*Y24-4.*Y13*Y14*Y24-
+ & 4.*Y13**2*Y24-Y14**2*Y23-Y13**2*Y23+Y12*Y13*Y14-Y12*Y13**2)/
+ & (2.*Y13*Y34*Y134**2)+(Y12*Y34**2-4.*Y14*Y24*Y34-2.*Y13*Y24*Y34-
+ & 2.*Y14*Y23*Y34-4.*Y13*Y23*Y34-4.*Y12*Y14*Y34-4.*Y12*Y13*Y34-
+ & 2.*Y13*Y14*Y24+2.*Y13**2*Y24+2.*Y14**2*Y23-2.*Y13*Y14*Y23-
+ & Y12*Y14**2-6.*Y12*Y13*Y14-Y12*Y13**2)/(4.*Y34**2*Y134**2)
+ WTTOT=WTTOT+Y34*CF*(CF*WTA(IC)+(CF-0.5*CN)*WTB(IC)+CN*WTC(IC))/
+ & 8.
+ ELSE
+ WTD(IC)=(Y13*Y23*Y34+Y12*Y23*Y34-Y12**2*Y34+Y13*Y23*Y24+2.*Y12*
+ & Y23*Y24-Y14*Y23**2+Y12*Y13*Y24+Y12*Y14*Y23+Y12*Y13*Y14)/(Y13**2*
+ & Y123**2)-(Y12*Y34**2-Y13*Y24*Y34+Y12*Y24*Y34-Y14*Y23*Y34-Y12*
+ & Y23*Y34-Y13*Y24**2+Y14*Y23*Y24-Y13*Y23*Y24-Y13**2*Y24+Y14*
+ & Y23**2)/(Y13**2*Y123*Y134)+(Y13*Y14*Y12+Y34*Y14*Y12-Y34**2*Y12+
+ & Y13*Y14*Y24+2.*Y34*Y14*Y24-Y23*Y14**2+Y34*Y13*Y24+Y34*Y23*Y14+
+ & Y34*Y13*Y23)/(Y13**2*Y134**2)-(Y34*Y12**2-Y13*Y24*Y12+Y34*Y24*
+ & Y12-Y23*Y14*Y12-Y34*Y14*Y12-Y13*Y24**2+Y23*Y14*Y24-Y13*Y14*Y24-
+ & Y13**2*Y24+Y23*Y14**2)/(Y13**2*Y134*Y123)
+ WTE(IC)=(Y12*Y34*(Y23-Y24+Y14+Y13)+Y13*Y24**2-Y14*Y23*Y24+Y13*
+ & Y23*Y24+Y13*Y14*Y24+Y13**2*Y24-Y14*Y23*(Y14+Y23+Y13))/(Y13*Y23*
+ & Y123*Y134)-Y12*(Y12*Y34-Y23*Y24-Y13*Y24-Y14*Y23-Y14*Y13)/(Y13*
+ & Y23*Y123**2)-(Y14+Y13)*(Y24+Y23)*Y34/(Y13*Y23*Y134*Y234)+
+ & (Y12*Y34*(Y14-Y24+Y23+Y13)+Y13*Y24**2-Y23*Y14*Y24+Y13*Y14*Y24+
+ & Y13*Y23*Y24+Y13**2*Y24-Y23*Y14*(Y14+Y23+Y13))/(Y13*Y14*Y134*
+ & Y123)-Y34*(Y34*Y12-Y14*Y24-Y13*Y24-Y23*Y14-Y23*Y13)/(Y13*Y14*
+ & Y134**2)-(Y23+Y13)*(Y24+Y14)*Y12/(Y13*Y14*Y123*Y124)
+ WTTOT=WTTOT+CF*(TR*WTD(IC)+(CF-0.5*CN)*WTE(IC))/16.
+ ENDIF
+
+C...Permutations of momenta in matrix element. Weighting.
+ 130 IF(IC.EQ.1.OR.IC.EQ.3.OR.ID.EQ.2.OR.ID.EQ.3) THEN
+ YSAV=Y13
+ Y13=Y14
+ Y14=YSAV
+ YSAV=Y23
+ Y23=Y24
+ Y24=YSAV
+ YSAV=Y123
+ Y123=Y124
+ Y124=YSAV
+ ENDIF
+ IF(IC.EQ.2.OR.IC.EQ.4.OR.ID.EQ.3.OR.ID.EQ.4) THEN
+ YSAV=Y13
+ Y13=Y23
+ Y23=YSAV
+ YSAV=Y14
+ Y14=Y24
+ Y24=YSAV
+ YSAV=Y134
+ Y134=Y234
+ Y234=YSAV
+ ENDIF
+ IF(IC.LE.3) GOTO 120
+ IF(ID.EQ.1.AND.WTTOT.LT.RLY(0)*WTMX) GOTO 110
+ IC=5
+
+C...qqgg events: string configuration and event type.
+ IF(IT.EQ.1) THEN
+ IF(MSTJ(109).EQ.0.AND.ID.EQ.1) THEN
+ PARJ(156)=Y34*(2.*(WTA(1)+WTA(2)+WTA(3)+WTA(4))+4.*(WTC(1)+
+ & WTC(2)+WTC(3)+WTC(4)))/(9.*WTTOT)
+ IF(WTA(2)+WTA(4)+2.*(WTC(2)+WTC(4)).GT.RLY(0)*(WTA(1)+WTA(2)+
+ & WTA(3)+WTA(4)+2.*(WTC(1)+WTC(2)+WTC(3)+WTC(4)))) ID=2
+ IF(ID.EQ.2) GOTO 130
+ ELSEIF(MSTJ(109).EQ.2.AND.ID.EQ.1) THEN
+ PARJ(156)=Y34*(WTA(1)+WTA(2)+WTA(3)+WTA(4))/(8.*WTTOT)
+ IF(WTA(2)+WTA(4).GT.RLY(0)*(WTA(1)+WTA(2)+WTA(3)+WTA(4))) ID=2
+ IF(ID.EQ.2) GOTO 130
+ ENDIF
+ MSTJ(120)=3
+ IF(MSTJ(109).EQ.0.AND.0.5*Y34*(WTC(1)+WTC(2)+WTC(3)+WTC(4)).GT.
+ & RLY(0)*WTTOT) MSTJ(120)=4
+ KFLN=21
+
+C...Mass cuts. Kinematical variables out.
+ IF(Y12.LE.CUT+QME) NJET=2
+ IF(NJET.EQ.2) GOTO 150
+ Q12=0.5*(1.-SQRT(1.-QME/Y12))
+ X1=1.-(1.-Q12)*Y234-Q12*Y134
+ X4=1.-(1.-Q12)*Y134-Q12*Y234
+ X2=1.-Y124
+ X12=(1.-Q12)*Y13+Q12*Y23
+ X14=Y12-0.5*QME
+ IF(Y134*Y234/((1.-X1)*(1.-X4)).LE.RLY(0)) NJET=2
+
+C...qqbarqqbar events: string configuration, choose new flavour.
+ ELSE
+ IF(ID.EQ.1) THEN
+ WTR=RLY(0)*(WTD(1)+WTD(2)+WTD(3)+WTD(4))
+ IF(WTR.LT.WTD(2)+WTD(3)+WTD(4)) ID=2
+ IF(WTR.LT.WTD(3)+WTD(4)) ID=3
+ IF(WTR.LT.WTD(4)) ID=4
+ IF(ID.GE.2) GOTO 130
+ ENDIF
+ MSTJ(120)=5
+ PARJ(156)=CF*TR*(WTD(1)+WTD(2)+WTD(3)+WTD(4))/(16.*WTTOT)
+ 140 KFLN=1+INT(5.*RLY(0))
+ IF(KFLN.NE.KFL.AND.0.2*PARJ(156).LE.RLY(0)) GOTO 140
+ IF(KFLN.EQ.KFL.AND.1.-0.8*PARJ(156).LE.RLY(0)) GOTO 140
+ IF(KFLN.GT.MSTJ(104)) NJET=2
+ PMQN=UYMASS(KFLN)
+ QMEN=(2.*PMQN/ECM)**2
+
+C...Mass cuts. Kinematical variables out.
+ IF(Y24.LE.CUT+QME.OR.Y13.LE.1.1*QMEN) NJET=2
+ IF(NJET.EQ.2) GOTO 150
+ Q24=0.5*(1.-SQRT(1.-QME/Y24))
+ Q13=0.5*(1.-SQRT(1.-QMEN/Y13))
+ X1=1.-(1.-Q24)*Y123-Q24*Y134
+ X4=1.-(1.-Q24)*Y134-Q24*Y123
+ X2=1.-(1.-Q13)*Y234-Q13*Y124
+ X12=(1.-Q24)*((1.-Q13)*Y14+Q13*Y34)+Q24*((1.-Q13)*Y12+Q13*Y23)
+ X14=Y24-0.5*QME
+ X34=(1.-Q24)*((1.-Q13)*Y23+Q13*Y12)+Q24*((1.-Q13)*Y34+Q13*Y14)
+ IF(PMQ**2+PMQN**2+MIN(X12,X34)*ECM**2.LE.
+ & (PARJ(127)+PMQ+PMQN)**2) NJET=2
+ IF(Y123*Y134/((1.-X1)*(1.-X4)).LE.RLY(0)) NJET=2
+ ENDIF
+ 150 IF(MSTJ(101).LE.-2.AND.NJET.EQ.2) GOTO 100
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYXDIF(NC,NJET,KFL,ECM,CHI,THE,PHI)
+
+C...Purpose: to give the angular orientation of events.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Charge. Factors depending on polarization for QED case.
+ QF=KCHG(KFL,1)/3.
+ POLL=1.-PARJ(131)*PARJ(132)
+ POLD=PARJ(132)-PARJ(131)
+ IF(MSTJ(102).LE.1.OR.MSTJ(109).EQ.1) THEN
+ HF1=POLL
+ HF2=0.
+ HF3=PARJ(133)**2
+ HF4=0.
+
+C...Factors depending on flavour, energy and polarization for QFD case.
+ ELSE
+ SFF=1./(16.*PARU(102)*(1.-PARU(102)))
+ SFW=ECM**4/((ECM**2-PARJ(123)**2)**2+(PARJ(123)*PARJ(124))**2)
+ SFI=SFW*(1.-(PARJ(123)/ECM)**2)
+ AE=-1.
+ VE=4.*PARU(102)-1.
+ AF=SIGN(1.,QF)
+ VF=AF-4.*QF*PARU(102)
+ HF1=QF**2*POLL-2.*QF*VF*SFI*SFF*(VE*POLL-AE*POLD)+
+ & (VF**2+AF**2)*SFW*SFF**2*((VE**2+AE**2)*POLL-2.*VE*AE*POLD)
+ HF2=-2.*QF*AF*SFI*SFF*(AE*POLL-VE*POLD)+2.*VF*AF*SFW*SFF**2*
+ & (2.*VE*AE*POLL-(VE**2+AE**2)*POLD)
+ HF3=PARJ(133)**2*(QF**2-2.*QF*VF*SFI*SFF*VE+(VF**2+AF**2)*
+ & SFW*SFF**2*(VE**2-AE**2))
+ HF4=-PARJ(133)**2*2.*QF*VF*SFW*(PARJ(123)*PARJ(124)/ECM**2)*
+ & SFF*AE
+ ENDIF
+
+C...Mass factor. Differential cross-sections for two-jet events.
+ SQ2=SQRT(2.)
+ QME=0.
+ IF(MSTJ(103).GE.4.AND.IABS(MSTJ(101)).LE.1.AND.MSTJ(102).LE.1.AND.
+ &MSTJ(109).NE.1) QME=(2.*UYMASS(KFL)/ECM)**2
+ IF(NJET.EQ.2) THEN
+ SIGU=4.*SQRT(1.-QME)
+ SIGL=2.*QME*SQRT(1.-QME)
+ SIGT=0.
+ SIGI=0.
+ SIGA=0.
+ SIGP=4.
+
+C...Kinematical variables. Reduce four-jet event to three-jet one.
+ ELSE
+ IF(NJET.EQ.3) THEN
+ X1=2.*P(NC+1,4)/ECM
+ X2=2.*P(NC+3,4)/ECM
+ ELSE
+ ECMR=P(NC+1,4)+P(NC+4,4)+SQRT((P(NC+2,1)+P(NC+3,1))**2+
+ & (P(NC+2,2)+P(NC+3,2))**2+(P(NC+2,3)+P(NC+3,3))**2)
+ X1=2.*P(NC+1,4)/ECMR
+ X2=2.*P(NC+4,4)/ECMR
+ ENDIF
+
+C...Differential cross-sections for three-jet (or reduced four-jet).
+ XQ=(1.-X1)/(1.-X2)
+ CT12=(X1*X2-2.*X1-2.*X2+2.+QME)/SQRT((X1**2-QME)*(X2**2-QME))
+ ST12=SQRT(1.-CT12**2)
+ IF(MSTJ(109).NE.1) THEN
+ SIGU=2.*X1**2+X2**2*(1.+CT12**2)-QME*(3.+CT12**2-X1-X2)-
+ & QME*X1/XQ+0.5*QME*((X2**2-QME)*ST12**2-2.*X2)*XQ
+ SIGL=(X2*ST12)**2-QME*(3.-CT12**2-2.5*(X1+X2)+X1*X2+QME)+
+ & 0.5*QME*(X1**2-X1-QME)/XQ+0.5*QME*((X2**2-QME)*CT12**2-X2)*XQ
+ SIGT=0.5*(X2**2-QME-0.5*QME*(X2**2-QME)/XQ)*ST12**2
+ SIGI=((1.-0.5*QME*XQ)*(X2**2-QME)*ST12*CT12+QME*(1.-X1-X2+
+ & 0.5*X1*X2+0.5*QME)*ST12/CT12)/SQ2
+ SIGA=X2**2*ST12/SQ2
+ SIGP=2.*(X1**2-X2**2*CT12)
+
+C...Differential cross-sect for scalar gluons (no mass effects).
+ ELSE
+ X3=2.-X1-X2
+ XT=X2*ST12
+ CT13=SQRT(MAX(0.,1.-(XT/X3)**2))
+ SIGU=(1.-PARJ(171))*(X3**2-0.5*XT**2)+
+ & PARJ(171)*(X3**2-0.5*XT**2-4.*(1.-X1)*(1.-X2)**2/X1)
+ SIGL=(1.-PARJ(171))*0.5*XT**2+
+ & PARJ(171)*0.5*(1.-X1)**2*XT**2
+ SIGT=(1.-PARJ(171))*0.25*XT**2+
+ & PARJ(171)*0.25*XT**2*(1.-2.*X1)
+ SIGI=-(0.5/SQ2)*((1.-PARJ(171))*XT*X3*CT13+
+ & PARJ(171)*XT*((1.-2.*X1)*X3*CT13-X1*(X1-X2)))
+ SIGA=(0.25/SQ2)*XT*(2.*(1.-X1)-X1*X3)
+ SIGP=X3**2-2.*(1.-X1)*(1.-X2)/X1
+ ENDIF
+ ENDIF
+
+C...Upper bounds for differential cross-section.
+ HF1A=ABS(HF1)
+ HF2A=ABS(HF2)
+ HF3A=ABS(HF3)
+ HF4A=ABS(HF4)
+ SIGMAX=(2.*HF1A+HF3A+HF4A)*ABS(SIGU)+2.*(HF1A+HF3A+HF4A)*
+ &ABS(SIGL)+2.*(HF1A+2.*HF3A+2.*HF4A)*ABS(SIGT)+2.*SQ2*
+ &(HF1A+2.*HF3A+2.*HF4A)*ABS(SIGI)+4.*SQ2*HF2A*ABS(SIGA)+
+ &2.*HF2A*ABS(SIGP)
+
+C...Generate angular orientation according to differential cross-sect.
+ 100 CHI=PARU(2)*RLY(0)
+ CTHE=2.*RLY(0)-1.
+ PHI=PARU(2)*RLY(0)
+ CCHI=COS(CHI)
+ SCHI=SIN(CHI)
+ C2CHI=COS(2.*CHI)
+ S2CHI=SIN(2.*CHI)
+ THE=ACOS(CTHE)
+ STHE=SIN(THE)
+ C2PHI=COS(2.*(PHI-PARJ(134)))
+ S2PHI=SIN(2.*(PHI-PARJ(134)))
+ SIG=((1.+CTHE**2)*HF1+STHE**2*(C2PHI*HF3-S2PHI*HF4))*SIGU+
+ &2.*(STHE**2*HF1-STHE**2*(C2PHI*HF3-S2PHI*HF4))*SIGL+
+ &2.*(STHE**2*C2CHI*HF1+((1.+CTHE**2)*C2CHI*C2PHI-2.*CTHE*S2CHI*
+ &S2PHI)*HF3-((1.+CTHE**2)*C2CHI*S2PHI+2.*CTHE*S2CHI*C2PHI)*HF4)*
+ &SIGT-2.*SQ2*(2.*STHE*CTHE*CCHI*HF1-2.*STHE*(CTHE*CCHI*C2PHI-
+ &SCHI*S2PHI)*HF3+2.*STHE*(CTHE*CCHI*S2PHI+SCHI*C2PHI)*HF4)*SIGI+
+ &4.*SQ2*STHE*CCHI*HF2*SIGA+2.*CTHE*HF2*SIGP
+ IF(SIG.LT.SIGMAX*RLY(0)) GOTO 100
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYONIA(KFL,ECM)
+
+C...Purpose: to generate Upsilon and toponium decays into three
+C...gluons or two gluons and a photon.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Printout. Check input parameters.
+ IF(MSTU(12).GE.1) CALL LYLIST(0)
+ IF(KFL.LT.0.OR.KFL.GT.8) THEN
+ CALL LYERRM(16,'(LYONIA:) called with unknown flavour code')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+ IF(ECM.LT.PARJ(127)+2.02*PARF(101)) THEN
+ CALL LYERRM(16,'(LYONIA:) called with too small CM energy')
+ IF(MSTU(21).GE.1) RETURN
+ ENDIF
+
+C...Initial e+e- and onium state (optional).
+ NC=0
+ IF(MSTJ(115).GE.2) THEN
+ NC=NC+2
+ CALL LY1ENT(NC-1,11,0.5*ECM,0.,0.)
+ K(NC-1,1)=21
+ CALL LY1ENT(NC,-11,0.5*ECM,PARU(1),0.)
+ K(NC,1)=21
+ ENDIF
+ KFLC=IABS(KFL)
+ IF(MSTJ(115).GE.3.AND.KFLC.GE.5) THEN
+ NC=NC+1
+ KF=110*KFLC+3
+ MSTU10=MSTU(10)
+ MSTU(10)=1
+ P(NC,5)=ECM
+ CALL LY1ENT(NC,KF,ECM,0.,0.)
+ K(NC,1)=21
+ K(NC,3)=1
+ MSTU(10)=MSTU10
+ ENDIF
+
+C...Choose x1 and x2 according to matrix element.
+ NTRY=0
+ 100 X1=RLY(0)
+ X2=RLY(0)
+ X3=2.-X1-X2
+ IF(X3.GE.1..OR.((1.-X1)/(X2*X3))**2+((1.-X2)/(X1*X3))**2+
+ &((1.-X3)/(X1*X2))**2.LE.2.*RLY(0)) GOTO 100
+ NTRY=NTRY+1
+ NJET=3
+ IF(MSTJ(101).LE.4) CALL LY3ENT(NC+1,21,21,21,ECM,X1,X3)
+ IF(MSTJ(101).GE.5) CALL LY3ENT(-(NC+1),21,21,21,ECM,X1,X3)
+
+C...Photon-gluon-gluon events. Small system modifications. Jet origin.
+ MSTU(111)=MSTJ(108)
+ IF(MSTJ(108).EQ.2.AND.(MSTJ(101).EQ.0.OR.MSTJ(101).EQ.1))
+ &MSTU(111)=1
+ PARU(112)=PARJ(121)
+ IF(MSTU(111).EQ.2) PARU(112)=PARJ(122)
+ QF=0.
+ IF(KFLC.NE.0) QF=KCHG(KFLC,1)/3.
+ RGAM=7.2*QF**2*PARU(101)/UYALPS(ECM**2)
+ MK=0
+ ECMC=ECM
+ IF(RLY(0).GT.RGAM/(1.+RGAM)) THEN
+ IF(1.-MAX(X1,X2,X3).LE.MAX((PARJ(126)/ECM)**2,PARJ(125)))
+ & NJET=2
+ IF(NJET.EQ.2.AND.MSTJ(101).LE.4) CALL LY2ENT(NC+1,21,21,ECM)
+ IF(NJET.EQ.2.AND.MSTJ(101).GE.5) CALL LY2ENT(-(NC+1),21,21,ECM)
+ ELSE
+ MK=1
+ ECMC=SQRT(1.-X1)*ECM
+ IF(ECMC.LT.2.*PARJ(127)) GOTO 100
+ K(NC+1,1)=1
+ K(NC+1,2)=22
+ K(NC+1,4)=0
+ K(NC+1,5)=0
+ IF(MSTJ(101).GE.5) K(NC+2,4)=MSTU(5)*(NC+3)
+ IF(MSTJ(101).GE.5) K(NC+2,5)=MSTU(5)*(NC+3)
+ IF(MSTJ(101).GE.5) K(NC+3,4)=MSTU(5)*(NC+2)
+ IF(MSTJ(101).GE.5) K(NC+3,5)=MSTU(5)*(NC+2)
+ NJET=2
+ IF(ECMC.LT.4.*PARJ(127)) THEN
+ MSTU10=MSTU(10)
+ MSTU(10)=1
+ P(NC+2,5)=ECMC
+ CALL LY1ENT(NC+2,83,0.5*(X2+X3)*ECM,PARU(1),0.)
+ MSTU(10)=MSTU10
+ NJET=0
+ ENDIF
+ ENDIF
+ DO 110 IP=NC+1,N
+ K(IP,3)=K(IP,3)+(MSTJ(115)/2)+(KFLC/5)*(MSTJ(115)/3)*(NC-1)
+ 110 CONTINUE
+
+C...Differential cross-sections. Upper limit for cross-section.
+ IF(MSTJ(106).EQ.1) THEN
+ SQ2=SQRT(2.)
+ HF1=1.-PARJ(131)*PARJ(132)
+ HF3=PARJ(133)**2
+ CT13=(X1*X3-2.*X1-2.*X3+2.)/(X1*X3)
+ ST13=SQRT(1.-CT13**2)
+ SIGL=0.5*X3**2*((1.-X2)**2+(1.-X3)**2)*ST13**2
+ SIGU=(X1*(1.-X1))**2+(X2*(1.-X2))**2+(X3*(1.-X3))**2-SIGL
+ SIGT=0.5*SIGL
+ SIGI=(SIGL*CT13/ST13+0.5*X1*X3*(1.-X2)**2*ST13)/SQ2
+ SIGMAX=(2.*HF1+HF3)*ABS(SIGU)+2.*(HF1+HF3)*ABS(SIGL)+2.*(HF1+
+ & 2.*HF3)*ABS(SIGT)+2.*SQ2*(HF1+2.*HF3)*ABS(SIGI)
+
+C...Angular orientation of event.
+ 120 CHI=PARU(2)*RLY(0)
+ CTHE=2.*RLY(0)-1.
+ PHI=PARU(2)*RLY(0)
+ CCHI=COS(CHI)
+ SCHI=SIN(CHI)
+ C2CHI=COS(2.*CHI)
+ S2CHI=SIN(2.*CHI)
+ THE=ACOS(CTHE)
+ STHE=SIN(THE)
+ C2PHI=COS(2.*(PHI-PARJ(134)))
+ S2PHI=SIN(2.*(PHI-PARJ(134)))
+ SIG=((1.+CTHE**2)*HF1+STHE**2*C2PHI*HF3)*SIGU+2.*(STHE**2*HF1-
+ & STHE**2*C2PHI*HF3)*SIGL+2.*(STHE**2*C2CHI*HF1+((1.+CTHE**2)*
+ & C2CHI*C2PHI-2.*CTHE*S2CHI*S2PHI)*HF3)*SIGT-2.*SQ2*(2.*STHE*CTHE*
+ & CCHI*HF1-2.*STHE*(CTHE*CCHI*C2PHI-SCHI*S2PHI)*HF3)*SIGI
+ IF(SIG.LT.SIGMAX*RLY(0)) GOTO 120
+ CALL LUDBRB(NC+1,N,0.,CHI,0D0,0D0,0D0)
+ CALL LUDBRB(NC+1,N,THE,PHI,0D0,0D0,0D0)
+ ENDIF
+
+C...Generate parton shower. Rearrange along strings and check.
+ IF(MSTJ(101).GE.5.AND.NJET.GE.2) THEN
+ CALL LYSHOW(NC+MK+1,-NJET,ECMC)
+ MSTJ14=MSTJ(14)
+ IF(MSTJ(105).EQ.-1) MSTJ(14)=-1
+ IF(MSTJ(105).GE.0) MSTU(28)=0
+ CALL LYPREP(0)
+ MSTJ(14)=MSTJ14
+ IF(MSTJ(105).GE.0.AND.MSTU(28).NE.0) GOTO 100
+ ENDIF
+
+C...Generate fragmentation. Information for LYTABU:
+ IF(MSTJ(105).EQ.1) CALL LYEXEC
+ MSTU(161)=110*KFLC+3
+ MSTU(162)=0
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYHEPC(MCONV)
+
+C...Purpose: to convert JETSET event record contents to or from
+C...the standard event record commonblock.
+C...Note that HEPEVT is in double precision according to LEP 2 standard.
+C...W. H. Bell --- Changed HEPEVT common block to match EvtGen.
+ PARAMETER (NMXHEP=4000)
+ COMMON/XHEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ REAL*8 PHEP,VHEP
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ SAVE /XHEPEVT/
+ SAVE /LYJETS/,/LYDAT1/,/LYDAT2/
+
+C...Conversion from JETSET to standard, the easy part.
+ IF(MCONV.EQ.1) THEN
+ NEVHEP=0
+ IF(N.GT.NMXHEP) CALL LYERRM(8,
+ & '(LYHEPC:) no more space in /HEPEVT/')
+ NHEP=MIN(N,NMXHEP)
+ DO 140 I=1,NHEP
+ ISTHEP(I)=0
+ IF(K(I,1).GE.1.AND.K(I,1).LE.10) ISTHEP(I)=1
+ IF(K(I,1).GE.11.AND.K(I,1).LE.20) ISTHEP(I)=2
+ IF(K(I,1).GE.21.AND.K(I,1).LE.30) ISTHEP(I)=3
+ IF(K(I,1).GE.31.AND.K(I,1).LE.100) ISTHEP(I)=K(I,1)
+ IDHEP(I)=K(I,2)
+ JMOHEP(1,I)=K(I,3)
+ JMOHEP(2,I)=0
+ IF(K(I,1).NE.3.AND.K(I,1).NE.13.AND.K(I,1).NE.14) THEN
+ JDAHEP(1,I)=K(I,4)
+ JDAHEP(2,I)=K(I,5)
+ ELSE
+ JDAHEP(1,I)=0
+ JDAHEP(2,I)=0
+ ENDIF
+ DO 100 J=1,5
+ PHEP(J,I)=P(I,J)
+ 100 CONTINUE
+ DO 110 J=1,4
+ VHEP(J,I)=V(I,J)
+ 110 CONTINUE
+
+C...Check if new event (from pileup).
+ IF(I.EQ.1) THEN
+ INEW=1
+ ELSE
+ IF(K(I,1).EQ.21.AND.K(I-1,1).NE.21) INEW=I
+ ENDIF
+
+C...Fill in missing mother information.
+ IF(I.GE.INEW+2.AND.K(I,1).EQ.21.AND.K(I,3).EQ.0) THEN
+ IMO1=I-2
+ IF(I.GE.INEW+3.AND.K(I-1,1).EQ.21.AND.K(I-1,3).EQ.0)
+ & IMO1=IMO1-1
+ JMOHEP(1,I)=IMO1
+ JMOHEP(2,I)=IMO1+1
+ ELSEIF(K(I,2).GE.91.AND.K(I,2).LE.93) THEN
+ I1=K(I,3)-1
+ 120 I1=I1+1
+ IF(I1.GE.I) CALL LYERRM(8,
+ & '(LYHEPC:) translation of inconsistent event history')
+ IF(I1.LT.I.AND.K(I1,1).NE.1.AND.K(I1,1).NE.11) GOTO 120
+ KC=LYCOMP(K(I1,2))
+ IF(I1.LT.I.AND.KC.EQ.0) GOTO 120
+ IF(I1.LT.I.AND.KCHG(KC,2).EQ.0) GOTO 120
+ JMOHEP(2,I)=I1
+ ELSEIF(K(I,2).EQ.94) THEN
+ NJET=2
+ IF(NHEP.GE.I+3.AND.K(I+3,3).LE.I) NJET=3
+ IF(NHEP.GE.I+4.AND.K(I+4,3).LE.I) NJET=4
+ JMOHEP(2,I)=MOD(K(I+NJET,4)/MSTU(5),MSTU(5))
+ IF(JMOHEP(2,I).EQ.JMOHEP(1,I)) JMOHEP(2,I)=
+ & MOD(K(I+1,4)/MSTU(5),MSTU(5))
+ ENDIF
+
+C...Fill in missing daughter information.
+ IF(K(I,2).EQ.94.AND.MSTU(16).NE.2) THEN
+ DO 130 I1=JDAHEP(1,I),JDAHEP(2,I)
+ I2=MOD(K(I1,4)/MSTU(5),MSTU(5))
+ JDAHEP(1,I2)=I
+ 130 CONTINUE
+ ENDIF
+ IF(K(I,2).GE.91.AND.K(I,2).LE.94) GOTO 140
+ I1=JMOHEP(1,I)
+ IF(I1.LE.0.OR.I1.GT.NHEP) GOTO 140
+ IF(K(I1,1).NE.13.AND.K(I1,1).NE.14) GOTO 140
+ IF(JDAHEP(1,I1).EQ.0) THEN
+ JDAHEP(1,I1)=I
+ ELSE
+ JDAHEP(2,I1)=I
+ ENDIF
+ 140 CONTINUE
+ DO 150 I=1,NHEP
+ IF(K(I,1).NE.13.AND.K(I,1).NE.14) GOTO 150
+ IF(JDAHEP(2,I).EQ.0) JDAHEP(2,I)=JDAHEP(1,I)
+ 150 CONTINUE
+
+C...Conversion from standard to JETSET, the easy part.
+ ELSE
+ IF(NHEP.GT.MSTU(4)) CALL LYERRM(8,
+ & '(LYHEPC:) no more space in /LYJETS/')
+ N=MIN(NHEP,MSTU(4))
+ NKQ=0
+ KQSUM=0
+ DO 180 I=1,N
+ K(I,1)=0
+ IF(ISTHEP(I).EQ.1) K(I,1)=1
+ IF(ISTHEP(I).EQ.2) K(I,1)=11
+ IF(ISTHEP(I).EQ.3) K(I,1)=21
+ K(I,2)=IDHEP(I)
+ K(I,3)=JMOHEP(1,I)
+ K(I,4)=JDAHEP(1,I)
+ K(I,5)=JDAHEP(2,I)
+ DO 160 J=1,5
+ P(I,J)=PHEP(J,I)
+ 160 CONTINUE
+ DO 170 J=1,4
+ V(I,J)=VHEP(J,I)
+ 170 CONTINUE
+ V(I,5)=0.
+ IF(ISTHEP(I).EQ.2.AND.PHEP(4,I).GT.PHEP(5,I)) THEN
+ I1=JDAHEP(1,I)
+ IF(I1.GT.0.AND.I1.LE.NHEP) V(I,5)=(VHEP(4,I1)-VHEP(4,I))*
+ & PHEP(5,I)/PHEP(4,I)
+ ENDIF
+
+C...Fill in missing information on colour connection in jet systems.
+ IF(ISTHEP(I).EQ.1) THEN
+ KC=LYCOMP(K(I,2))
+ KQ=0
+ IF(KC.NE.0) KQ=KCHG(KC,2)*ISIGN(1,K(I,2))
+ IF(KQ.NE.0) NKQ=NKQ+1
+ IF(KQ.NE.2) KQSUM=KQSUM+KQ
+ IF(KQ.NE.0.AND.KQSUM.NE.0) THEN
+ K(I,1)=2
+ ELSEIF(KQ.EQ.2.AND.I.LT.N) THEN
+ IF(K(I+1,2).EQ.21) K(I,1)=2
+ ENDIF
+ ENDIF
+ 180 CONTINUE
+ IF(NKQ.EQ.1.OR.KQSUM.NE.0) CALL LYERRM(8,
+ & '(LYHEPC:) input parton configuration not colour singlet')
+ ENDIF
+
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYTEST(MTEST)
+
+C...Purpose: to provide a simple program (disguised as subroutine) to
+C...run at installation as a check that the program works as intended.
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYJETS/,/LYDAT1/
+ DIMENSION PSUM(5),PINI(6),PFIN(6)
+
+C...Loop over events to be generated.
+ IF(MTEST.GE.1) CALL LYTABU(20)
+ NERR=0
+ DO 180 IEV=1,600
+
+C...Reset parameter values. Switch on some nonstandard features.
+ MSTJ(1)=1
+ MSTJ(3)=0
+ MSTJ(11)=1
+ MSTJ(42)=2
+ MSTJ(43)=4
+ MSTJ(44)=2
+ PARJ(17)=0.1
+ PARJ(22)=1.5
+ PARJ(43)=1.
+ PARJ(54)=-0.05
+ MSTJ(101)=5
+ MSTJ(104)=5
+ MSTJ(105)=0
+ MSTJ(107)=1
+ IF(IEV.EQ.301.OR.IEV.EQ.351.OR.IEV.EQ.401) MSTJ(116)=3
+
+C...Ten events each for some single jets configurations.
+ IF(IEV.LE.50) THEN
+ ITY=(IEV+9)/10
+ MSTJ(3)=-1
+ IF(ITY.EQ.3.OR.ITY.EQ.4) MSTJ(11)=2
+ IF(ITY.EQ.1) CALL LY1ENT(1,1,15.,0.,0.)
+ IF(ITY.EQ.2) CALL LY1ENT(1,3101,15.,0.,0.)
+ IF(ITY.EQ.3) CALL LY1ENT(1,-2203,15.,0.,0.)
+ IF(ITY.EQ.4) CALL LY1ENT(1,-4,30.,0.,0.)
+ IF(ITY.EQ.5) CALL LY1ENT(1,21,15.,0.,0.)
+
+C...Ten events each for some simple jet systems; string fragmentation.
+ ELSEIF(IEV.LE.130) THEN
+ ITY=(IEV-41)/10
+ IF(ITY.EQ.1) CALL LY2ENT(1,1,-1,40.)
+ IF(ITY.EQ.2) CALL LY2ENT(1,4,-4,30.)
+ IF(ITY.EQ.3) CALL LY2ENT(1,2,2103,100.)
+ IF(ITY.EQ.4) CALL LY2ENT(1,21,21,40.)
+ IF(ITY.EQ.5) CALL LY3ENT(1,2101,21,-3203,30.,0.6,0.8)
+ IF(ITY.EQ.6) CALL LY3ENT(1,5,21,-5,40.,0.9,0.8)
+ IF(ITY.EQ.7) CALL LY3ENT(1,21,21,21,60.,0.7,0.5)
+ IF(ITY.EQ.8) CALL LY4ENT(1,2,21,21,-2,40.,0.4,0.64,0.6,0.12,0.2)
+
+C...Seventy events with independent fragmentation and momentum cons.
+ ELSEIF(IEV.LE.200) THEN
+ ITY=1+(IEV-131)/16
+ MSTJ(2)=1+MOD(IEV-131,4)
+ MSTJ(3)=1+MOD((IEV-131)/4,4)
+ IF(ITY.EQ.1) CALL LY2ENT(1,4,-5,40.)
+ IF(ITY.EQ.2) CALL LY3ENT(1,3,21,-3,40.,0.9,0.4)
+ IF(ITY.EQ.3) CALL LY4ENT(1,2,21,21,-2,40.,0.4,0.64,0.6,0.12,0.2)
+ IF(ITY.GE.4) CALL LY4ENT(1,2,-3,3,-2,40.,0.4,0.64,0.6,0.12,0.2)
+
+C...A hundred events with random jets (check invariant mass).
+ ELSEIF(IEV.LE.300) THEN
+ 100 DO 110 J=1,5
+ PSUM(J)=0.
+ 110 CONTINUE
+ NJET=2.+6.*RLY(0)
+ DO 130 I=1,NJET
+ KFL=21
+ IF(I.EQ.1) KFL=INT(1.+4.*RLY(0))
+ IF(I.EQ.NJET) KFL=-INT(1.+4.*RLY(0))
+ EJET=5.+20.*RLY(0)
+ THETA=ACOS(2.*RLY(0)-1.)
+ PHI=6.2832*RLY(0)
+ IF(I.LT.NJET) CALL LY1ENT(-I,KFL,EJET,THETA,PHI)
+ IF(I.EQ.NJET) CALL LY1ENT(I,KFL,EJET,THETA,PHI)
+ IF(I.EQ.1.OR.I.EQ.NJET) MSTJ(93)=1
+ IF(I.EQ.1.OR.I.EQ.NJET) PSUM(5)=PSUM(5)+UYMASS(KFL)
+ DO 120 J=1,4
+ PSUM(J)=PSUM(J)+P(I,J)
+ 120 CONTINUE
+ 130 CONTINUE
+ IF(PSUM(4)**2-PSUM(1)**2-PSUM(2)**2-PSUM(3)**2.LT.
+ & (PSUM(5)+PARJ(32))**2) GOTO 100
+
+C...Fifty e+e- continuum events with matrix elements.
+ ELSEIF(IEV.LE.350) THEN
+ MSTJ(101)=2
+ CALL LYEEVT(0,40.)
+
+C...Fifty e+e- continuum event with varying shower options.
+ ELSEIF(IEV.LE.400) THEN
+ MSTJ(42)=1+MOD(IEV,2)
+ MSTJ(43)=1+MOD(IEV/2,4)
+ MSTJ(44)=MOD(IEV/8,3)
+ CALL LYEEVT(0,90.)
+
+C...Fifty e+e- continuum events with coherent shower, including top.
+ ELSEIF(IEV.LE.450) THEN
+ MSTJ(104)=6
+ CALL LYEEVT(0,500.)
+
+C...Fifty Upsilon decays to ggg or gammagg with coherent shower.
+ ELSEIF(IEV.LE.500) THEN
+ CALL LYONIA(5,9.46)
+
+C...One decay each for some heavy mesons.
+ ELSEIF(IEV.LE.560) THEN
+ ITY=IEV-501
+ KFLS=2*(ITY/20)+1
+ KFLB=8-MOD(ITY/5,4)
+ KFLC=KFLB-MOD(ITY,5)
+ CALL LY1ENT(1,100*KFLB+10*KFLC+KFLS,0.,0.,0.)
+
+C...One decay each for some heavy baryons.
+ ELSEIF(IEV.LE.600) THEN
+ ITY=IEV-561
+ KFLS=2*(ITY/20)+2
+ KFLA=8-MOD(ITY/5,4)
+ KFLB=KFLA-MOD(ITY,5)
+ KFLC=MAX(1,KFLB-1)
+ CALL LY1ENT(1,1000*KFLA+100*KFLB+10*KFLC+KFLS,0.,0.,0.)
+ ENDIF
+
+C...Generate event. Find total momentum, energy and charge.
+ DO 140 J=1,4
+ PINI(J)=PLY(0,J)
+ 140 CONTINUE
+ PINI(6)=PLY(0,6)
+ CALL LYEXEC
+ DO 150 J=1,4
+ PFIN(J)=PLY(0,J)
+ 150 CONTINUE
+ PFIN(6)=PLY(0,6)
+
+C...Check conservation of energy, momentum and charge;
+C...usually exact, but only approximate for single jets.
+ MERR=0
+ IF(IEV.LE.50) THEN
+ IF((PFIN(1)-PINI(1))**2+(PFIN(2)-PINI(2))**2.GE.4.) MERR=MERR+1
+ EPZREM=PINI(4)+PINI(3)-PFIN(4)-PFIN(3)
+ IF(EPZREM.LT.0..OR.EPZREM.GT.2.*PARJ(31)) MERR=MERR+1
+ IF(ABS(PFIN(6)-PINI(6)).GT.2.1) MERR=MERR+1
+ ELSE
+ DO 160 J=1,4
+ IF(ABS(PFIN(J)-PINI(J)).GT.0.0001*PINI(4)) MERR=MERR+1
+ 160 CONTINUE
+ IF(ABS(PFIN(6)-PINI(6)).GT.0.1) MERR=MERR+1
+ ENDIF
+ IF(MERR.NE.0) WRITE(MSTU(11),5000) (PINI(J),J=1,4),PINI(6),
+ &(PFIN(J),J=1,4),PFIN(6)
+
+C...Check that all KF codes are known ones, and that partons/particles
+C...satisfy energy-momentum-mass relation. Store particle statistics.
+ DO 170 I=1,N
+ IF(K(I,1).GT.20) GOTO 170
+ IF(LYCOMP(K(I,2)).EQ.0) THEN
+ WRITE(MSTU(11),5100) I
+ MERR=MERR+1
+ ENDIF
+ PD=P(I,4)**2-P(I,1)**2-P(I,2)**2-P(I,3)**2-P(I,5)**2
+ IF(ABS(PD).GT.MAX(0.1,0.001*P(I,4)**2).OR.P(I,4).LT.0.) THEN
+ WRITE(MSTU(11),5200) I
+ MERR=MERR+1
+ ENDIF
+ 170 CONTINUE
+ IF(MTEST.GE.1) CALL LYTABU(21)
+
+C...List all erroneous events and some normal ones.
+ IF(MERR.NE.0.OR.MSTU(24).NE.0.OR.MSTU(28).NE.0) THEN
+ CALL LYLIST(2)
+ ELSEIF(MTEST.GE.1.AND.MOD(IEV-5,100).EQ.0) THEN
+ CALL LYLIST(1)
+ ENDIF
+
+C...Stop execution if too many errors.
+ IF(MERR.NE.0) NERR=NERR+1
+ IF(NERR.GE.10) THEN
+ WRITE(MSTU(11),5300) IEV
+ STOP
+ ENDIF
+ 180 CONTINUE
+
+C...Summarize result of run.
+ IF(MTEST.GE.1) CALL LYTABU(22)
+ IF(NERR.EQ.0) WRITE(MSTU(11),5400)
+ IF(NERR.GT.0) WRITE(MSTU(11),5500) NERR
+
+C...Reset commonblock variables changed during run.
+ MSTJ(2)=3
+ PARJ(17)=0.
+ PARJ(22)=1.
+ PARJ(43)=0.5
+ PARJ(54)=0.
+ MSTJ(105)=1
+ MSTJ(107)=0
+
+C...Format statements for output.
+ 5000 FORMAT(/' Momentum, energy and/or charge were not conserved ',
+ &'in following event'/' sum of',9X,'px',11X,'py',11X,'pz',11X,
+ &'E',8X,'charge'/' before',2X,4(1X,F12.5),1X,F8.2/' after',3X,
+ &4(1X,F12.5),1X,F8.2)
+ 5100 FORMAT(/5X,'Entry no.',I4,' in following event not known code')
+ 5200 FORMAT(/5X,'Entry no.',I4,' in following event has faulty ',
+ &'kinematics')
+ 5300 FORMAT(/5X,'Ten errors experienced by event ',I3/
+ &5X,'Something is seriously wrong! Execution stopped now!')
+ 5400 FORMAT(//5X,'End result of LYTEST: no errors detected.')
+ 5500 FORMAT(//5X,'End result of LYTEST:',I2,' errors detected.'/
+ &5X,'This should not have happened!')
+
+ RETURN
+ END
+
+C*********************************************************************
+
+ BLOCK DATA LYDATA
+
+C...Purpose: to give default values to parameters and particle and
+C...decay data.
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/LYDAT2/KCHG(500,3),PMAS(500,4),PARF(2000),VCKM(4,4)
+ COMMON/LYDAT3/MDCY(500,3),MDME(2000,2),BRAT(2000),KFDP(2000,5)
+ COMMON/LYDAT4/CHAF(500)
+ CHARACTER CHAF*8
+ COMMON/LYDATR/MRLU(6),RRLU(100)
+ SAVE /LYDAT1/,/LYDAT2/,/LYDAT3/,/LYDAT4/,/LYDATR/
+
+C...LUDAT1, containing status codes and most parameters.
+ DATA MSTU/
+ & 0, 0, 0, 4000,10000, 500, 2000, 0, 0, 2,
+ 1 6, 1, 1, 0, 1, 1, 0, 0, 0, 0,
+ 2 2, 10, 0, 0, 1, 10, 0, 0, 0, 0,
+ 3 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 4 2, 2, 1, 4, 2, 1, 1, 0, 0, 0,
+ 5 25, 24, 0, 1, 0, 0, 0, 0, 0, 0,
+ 6 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 7 30*0,
+ & 1, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 1 1, 5, 3, 5, 0, 0, 0, 0, 0, 0,
+ 2 60*0,
+ 8 7, 410, 1997, 01, 20, 700, 0, 0, 0, 0,
+ 9 0, 0, 0, 0, 0, 0, 0, 0, 0, 0/
+ DATA PARU/
+ & 3.1415927, 6.2831854, 0.1973, 5.068, 0.3894, 2.568, 4*0.,
+ 1 0.001, 0.09, 0.01, 0., 0., 0., 0., 0., 0., 0.,
+ 2 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
+ 3 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
+ 4 2.0, 1.0, 0.25, 2.5, 0.05, 0., 0., 0.0001, 0., 0.,
+ 5 2.5, 1.5, 7.0, 1.0, 0.5, 2.0, 3.2, 0., 0., 0.,
+ 6 40*0.,
+ & 0.00729735, 0.232, 0.007764, 1.0, 1.16639E-5, 0., 0., 0.,
+ & 0., 0.,
+ 1 0.20, 0.25, 1.0, 4.0, 10., 0., 0., 0., 0., 0.,
+ 2 -0.693, -1.0, 0.387, 1.0, -0.08, -1.0, 1.0, 1.0, 1.0, 0.,
+ 3 1.0, -1.0, 1.0, -1.0, 1.0, 0., 0., 0., 0., 0.,
+ 4 5.0, 1.0, 1.0, 0., 1.0, 1.0, 0., 0., 0., 0.,
+ 5 1.0, 0., 0., 0., 1000., 1.0, 1.0, 1.0, 1.0, 0.,
+ 6 1.0, 1.0, 1.0, 1.0, 1.0, 0., 0., 0., 0., 0.,
+ 7 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 0., 0., 0.,
+ 8 1.0, 1.0, 1.0, 0.0, 0.0, 1.0, 1.0, 0.0, 0.0, 0.,
+ 9 0., 0., 0., 0., 1.0, 0., 0., 0., 0., 0./
+ DATA MSTJ/
+ & 1, 3, 0, 0, 0, 0, 0, 0, 0, 0,
+ 1 4, 2, 0, 1, 0, 0, 0, 0, 0, 0,
+ 2 2, 1, 1, 2, 1, 2, 2, 0, 0, 0,
+ 3 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
+ 4 2, 2, 4, 2, 5, 3, 3, 0, 0, 3,
+ 5 0, 3, 0, 0, 0, 0, 0, 0, 0, 0,
+ 6 40*0,
+ & 5, 2, 7, 5, 1, 1, 0, 2, 0, 2,
+ 1 0, 0, 0, 0, 1, 1, 0, 0, 0, 0,
+ 2 80*0/
+ DATA PARJ/
+ & 0.10, 0.30, 0.40, 0.05, 0.50, 0.50, 0.50, 0., 0., 0.,
+ 1 0.50, 0.60, 0.75, 0., 0., 0., 0., 1.0, 1.0, 0.,
+ 2 0.36, 1.0, 0.01, 2.0, 1.0, 0.4, 0., 0., 0., 0.,
+ 3 0.10, 1.0, 0.8, 1.5, 0., 2.0, 0.2, 2.5, 0.6, 0.,
+ 4 0.3, 0.58, 0.5, 0.9, 0.5, 1.0, 1.0, 1.0, 0., 0.,
+ 5 0.77,0.77,0.77,-0.05,-0.005,-0.00001,-0.00001,-0.00001,1.0,0.,
+ 6 4.5, 0.7, 0., 0.003, 0.5, 0.5, 0., 0., 0., 0.,
+ 7 10., 1000., 100., 1000., 0., 0.7, 10., 0., 0., 0.,
+ 8 0.29, 1.0, 1.0, 0., 10., 10., 0., 0., 0., 0.,
+ 9 0.02, 1.0, 0.2, 0., 0., 0., 0., 0., 0., 0.,
+ & 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
+ 1 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
+ 2 1.0, 0.25,91.187,2.489, 0.01, 2.0, 1.0, 0.25,0.002, 0.,
+ 3 0., 0., 0., 0., 0.01, 0.99, 0., 0., 0.2, 0.,
+ 4 60*0./
+
+C...LUDAT2, with particle data and flavour treatment parameters.
+ DATA (KCHG(I,1),I= 1, 500)/-1,2,-1,2,-1,2,-1,2,2*0,-3,0,-3,0,
+ &-3,0,-3,6*0,3,9*0,3,2*0,3,0,-1,44*0,2,-1,2,-1,2,3,11*0,3,0,2*3,0,
+ &3,0,3,0,3,10*0,3,0,2*3,0,3,0,3,0,3,10*0,3,0,2*3,0,3,0,3,0,3,10*0,
+ &3,0,2*3,0,3,0,3,0,3,10*0,3,0,2*3,0,3,0,3,0,3,10*0,3,0,2*3,0,3,0,
+ &3,0,3,70*0,3,0,3,28*0,3,2*0,3,8*0,-3,8*0,3,0,-3,0,3,-3,3*0,3,6,0,
+ &3,5*0,-3,0,3,-3,0,-3,4*0,-3,0,3,6,-3,0,3,-3,0,-3,0,3,6,0,3,5*0,
+ &-3,0,3,-3,0,-3,114*0/
+ DATA (KCHG(I,2),I= 1, 500)/8*1,12*0,2,16*0,2,1,50*0,-1,410*0/
+ DATA (KCHG(I,3),I= 1, 500)/8*1,2*0,8*1,5*0,1,9*0,1,2*0,1,0,2*1,
+ &41*0,1,0,7*1,10*0,10*1,10*0,10*1,10*0,10*1,10*0,10*1,10*0,10*1,
+ &10*0,10*1,70*0,3*1,22*0,1,5*0,1,0,2*1,6*0,1,0,2*1,6*0,2*1,0,5*1,
+ &0,6*1,4*0,6*1,4*0,16*1,4*0,6*1,114*0/
+ DATA (PMAS(I,1),I= 1, 500)/0.0099,0.0056,0.199,1.35,5.,160.,
+ &2*250.,2*0.,0.00051,0.,0.1057,0.,1.777,0.,250.,5*0.,91.187,80.25,
+ &80.,6*0.,500.,900.,500.,3*300.,350.,200.,5000.,60*0.,0.1396,
+ &0.4977,0.4936,1.8693,1.8645,1.9688,5.2787,5.2786,5.47972,6.594,
+ &0.135,0.5475,0.9578,2.9788,9.4,320.,2*500.,2*0.,0.7669,0.8961,
+ &0.8916,2.0101,2.0071,2.11,2*5.325,5.5068,6.602,0.7683,0.782,
+ &1.0194,3.0969,9.4603,320.,2*500.,2*0.,1.232,2*1.29,2*2.424,2.536,
+ &2*5.73,5.97,7.3,1.232,1.17,1.4,3.46,9.875,320.,2*500.,2*0.,0.983,
+ &2*1.429,2*2.272,2.5,2*5.68,5.92,7.25,0.9827,1.,1.4,3.4151,9.8598,
+ &320.,2*500.,2*0.,1.26,2*1.402,2*2.372,2.56,2*5.78,6.02,7.3,1.26,
+ &1.282,1.42,3.5106,9.8919,320.,2*500.,2*0.,1.318,1.432,1.425,
+ &2*2.46,2.61,2*5.83,6.07,7.35,1.318,1.275,1.525,3.5562,9.9132,
+ &320.,2*500.,2*0.,2*0.4977,8*0.,3.686,3*0.,10.0233,70*0.,1.1156,
+ &5*0.,2.2849,0.,2.473,2.466,6*0.,5.641,0.,2*5.84,6*0.,0.9396,
+ &0.9383,0.,1.1974,1.1926,1.1894,1.3213,1.3149,0.,2.4525,2.4529,
+ &2.4527,2*2.55,2.73,4*0.,3*5.8,2*5.96,6.12,4*0.,1.234,1.233,1.232,
+ &1.231,1.3872,1.3837,1.3828,1.535,1.5318,1.6724,3*2.5,2*2.63,2.8,
+ &4*0.,3*5.81,2*5.97,6.13,114*0./
+ DATA (PMAS(I,2),I= 1, 500)/22*0.,2.489,2.066,88*0.,0.0002,
+ &0.001,6*0.,0.149,0.0505,0.0498,7*0.,0.151,0.00843,0.0044,7*0.,
+ &0.155,2*0.09,2*0.02,0.,4*0.05,0.155,0.36,0.08,2*0.01,5*0.,0.057,
+ &2*0.287,7*0.05,0.057,0.,0.25,0.014,6*0.,0.4,2*0.174,7*0.05,0.4,
+ &0.024,0.06,0.0009,6*0.,0.11,0.109,0.098,2*0.019,5*0.02,0.11,
+ &0.185,0.076,0.002,146*0.,4*0.12,0.0394,0.036,0.0358,0.0099,
+ &0.0091,131*0./
+ DATA (PMAS(I,3),I= 1, 500)/22*0.,2*20.,88*0.,0.002,0.005,6*0.,
+ &0.4,2*0.2,7*0.,0.4,0.1,0.015,7*0.,0.25,0.005,0.01,2*0.08,0.,
+ &4*0.1,0.25,0.2,0.001,2*0.02,5*0.,0.05,2*0.4,6*0.1,2*0.05,0.,0.35,
+ &0.05,6*0.,3*0.3,2*0.1,0.03,4*0.1,0.3,0.05,0.02,0.001,6*0.,0.25,
+ &4*0.12,5*0.05,0.25,0.17,0.2,0.01,146*0.,4*0.14,0.04,2*0.035,
+ &2*0.05,131*0./
+ DATA (PMAS(I,4),I= 1, 500)/12*0.,658650.,0.,0.0914,68*0.,0.1,
+ &0.387,15*0.,7804.,0.,3709.,0.32,0.1259,0.135,3*0.387,0.15,110*0.,
+ &15500.,26.75,83*0.,78.88,5*0.,0.057,0.,0.025,0.09,6*0.,0.387,0.,
+ &2*0.387,9*0.,44.3,0.,23.95,49.1,86.9,6*0.,0.13,9*0.,0.387,13*0.,
+ &24.60001,130*0./
+ DATA PARF/
+ & 0.5, 0.25, 0.5, 0.25, 1., 0.5, 0., 0., 0., 0.,
+ 1 0.5, 0., 0.5, 0., 1., 1., 0., 0., 0., 0.,
+ 2 0.5, 0., 0.5, 0., 1., 1., 0., 0., 0., 0.,
+ 3 0.5, 0., 0.5, 0., 1., 1., 0., 0., 0., 0.,
+ 4 0.5, 0., 0.5, 0., 1., 1., 0., 0., 0., 0.,
+ 5 0.5, 0., 0.5, 0., 1., 1., 0., 0., 0., 0.,
+ 6 0.75, 0.5, 0., 0.1667, 0.0833, 0.1667, 0., 0., 0., 0.,
+ 7 0., 0., 1., 0.3333, 0.6667, 0.3333, 0., 0., 0., 0.,
+ 8 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
+ 9 0., 0., 0., 0., 0., 0., 0., 0., 0., 0.,
+ & 0.325, 0.325, 0.5, 1.6, 5.0, 0., 0., 0., 0., 0.,
+ 1 0., 0.11, 0.16, 0.048, 0.50, 0.45, 0.55, 0.60, 0., 0.,
+ 2 0.2, 0.1, 0., 0., 0., 0., 0., 0., 0., 0.,
+ 3 1870*0./
+ DATA ((VCKM(I,J),J=1,4),I=1,4)/
+ 1 0.95113, 0.04884, 0.00003, 0.00000,
+ 2 0.04884, 0.94940, 0.00176, 0.00000,
+ 3 0.00003, 0.00176, 0.99821, 0.00000,
+ 4 0.00000, 0.00000, 0.00000, 1.00000/
+
+C...LUDAT3, with particle decay parameters and data.
+ DATA (MDCY(I,1),I= 1, 500)/5*0,3*1,6*0,1,0,1,5*0,3*1,6*0,1,0,1,
+ &2*0,4*1,42*0,7*1,12*0,1,0,15*1,2*0,18*1,2*0,18*1,2*0,18*1,2*0,
+ &18*1,2*0,18*1,3*0,1,8*0,1,3*0,1,70*0,1,5*0,1,0,2*1,6*0,1,0,2*1,
+ &9*0,5*1,0,6*1,4*0,6*1,4*0,16*1,4*0,6*1,114*0/
+ DATA (MDCY(I,2),I= 1, 500)/1,9,17,25,33,41,50,60,2*0,70,74,76,
+ &81,83,124,126,132,2*0,135,144,156,172,192,6*0,209,0,231,254,274,
+ &292,301,304,305,42*0,314,315,319,328,331,336,338,11*0,358,359,
+ &361,367,430,491,524,560,596,635,666,668,675,681,682,683,684,685,
+ &2*0,686,688,691,694,697,699,700,701,702,703,704,708,713,721,724,
+ &733,734,735,2*0,736,737,742,747,749,751,753,755,757,759,761,762,
+ &765,769,770,771,772,773,2*0,774,775,777,779,781,783,785,787,789,
+ &791,793,794,799,804,806,808,809,810,2*0,811,813,815,817,819,821,
+ &823,825,827,829,831,833,846,850,852,854,855,856,2*0,857,863,873,
+ &884,892,900,904,912,920,924,928,936,945,951,953,955,956,957,2*0,
+ &958,966,8*0,968,3*0,979,70*0,993,5*0,997,0,1073,1074,6*0,1075,0,
+ &1092,1093,9*0,1094,1096,1097,1100,1101,0,1103,1104,1105,1106,
+ &1107,1108,4*0,1109,1110,1111,1112,1113,1114,4*0,1115,1116,1119,
+ &1122,1123,1126,1129,1132,1134,1136,1140,1141,1142,1143,1145,1147,
+ &4*0,1148,1149,1150,1151,1152,1153,114*0/
+ DATA (MDCY(I,3),I= 1, 500)/5*8,9,2*10,2*0,4,2,5,2,41,2,6,3,2*0,
+ &9,12,16,20,17,6*0,22,0,23,20,18,9,3,1,9,42*0,1,4,9,3,5,2,20,11*0,
+ &1,2,6,63,61,33,2*36,39,31,2,7,6,5*1,2*0,2,3*3,2,5*1,4,5,8,3,9,
+ &3*1,2*0,1,2*5,7*2,1,3,4,5*1,2*0,1,9*2,1,2*5,2*2,3*1,2*0,11*2,13,
+ &4,2*2,3*1,2*0,6,10,11,2*8,4,2*8,2*4,8,9,6,2*2,3*1,2*0,8,2,8*0,11,
+ &3*0,14,70*0,4,5*0,76,0,2*1,6*0,17,0,2*1,9*0,2,1,3,1,2,0,6*1,4*0,
+ &6*1,4*0,1,2*3,1,3*3,2*2,4,3*1,2*2,1,4*0,6*1,114*0/
+ DATA (MDME(I,1),I= 1,2000)/6*1,-1,7*1,-1,7*1,-1,7*1,-1,7*1,-1,
+ &7*1,-1,1,-1,8*1,2*-1,8*1,2*-1,61*1,-1,2*1,-1,6*1,2*-1,7*1,2*-1,
+ &3*1,-1,6*1,2*-1,6*1,2*-1,3*1,-1,3*1,-1,3*1,5*-1,3*1,-1,6*1,2*-1,
+ &3*1,-1,11*1,2*-1,6*1,8*-1,3*1,-1,3*1,-1,3*1,5*-1,3*1,4*-1,6*1,
+ &2*-1,3*1,-1,5*1,-1,8*1,2*-1,3*1,-1,9*1,-1,3*1,-1,9*1,2*-1,2*1,-1,
+ &16*1,-1,2*1,3*-1,1665*1/
+ DATA (MDME(I,2),I= 1,2000)/75*102,42,6*102,2*42,2*0,7*41,2*0,
+ &24*41,6*102,45,29*102,8*32,8*0,16*32,4*0,8*32,4*0,32,4*0,8*32,
+ &14*0,16*32,7*0,8*32,4*0,32,7*0,8*32,4*0,32,5*0,4*32,5*0,3*32,0,
+ &6*32,3*0,12,2*42,2*11,9*42,2*45,31,2*45,2*33,31,2*45,20*46,7*0,
+ &24*42,41*0,16*42,46*0,10*42,20*0,2*13,14*42,16*0,48,3*13,16*42,
+ &16*0,48,3*13,16*42,19*0,48,3*13,2*42,0,2*11,28*42,0,2,4*0,2,8*0,
+ &12,32,86,87,88,3,0,2*3,0,2*3,0,2*3,0,3,6*0,3,3*0,1,0,3,2*0,2*3,
+ &3*0,1,4*0,12,3*0,4*32,2*4,86,87,88,33*0,12,32,86,87,88,31*0,12,0,
+ &32,86,87,88,40*0,12,0,32,86,87,88,95*0,12,0,32,86,87,88,2*0,4*42,
+ &6*0,12,11*0,4*32,2*4,9*0,14*42,52*0,10*13,2*84,3*42,8*0,48,3*13,
+ &2*42,2*85,14*0,84,5*0,85,886*0/
+ DATA (BRAT(I) ,I= 1, 439)/75*0.,1.,6*0.,0.179,0.178,0.116,
+ &0.235,0.005,0.056,0.018,0.023,0.011,2*0.004,0.0067,0.014,2*0.002,
+ &2*0.001,0.0022,0.054,0.002,0.016,0.005,0.011,0.0101,5*0.006,
+ &0.002,2*0.001,5*0.002,6*0.,1.,29*0.,0.15394,0.11936,0.15394,
+ &0.11926,0.15254,3*0.,0.03368,0.06664,0.03368,0.06664,0.03368,
+ &0.06664,2*0.,0.3214,0.0165,2*0.,0.0165,0.3207,2*0.,0.00001,
+ &0.00059,6*0.,3*0.1081,3*0.,0.0003,0.048,0.8705,4*0.,0.0002,
+ &0.0603,0.,0.0199,0.0008,3*0.,0.143,0.111,0.143,0.111,0.143,0.085,
+ &2*0.,0.03,0.058,0.03,0.058,0.03,0.058,8*0.,0.25,0.01,2*0.,0.01,
+ &0.25,4*0.,0.24,5*0.,3*0.08,6*0.,0.01,0.08,0.82,5*0.,0.09,11*0.,
+ &0.01,0.08,0.82,5*0.,0.09,9*0.,1.,6*0.,0.01,0.98,0.01,1.,4*0.215,
+ &2*0.,2*0.07,0.,1.,2*0.08,0.76,0.08,2*0.105,0.04,0.5,0.08,0.14,
+ &0.01,0.015,0.005,1.,3*0.,1.,4*0.,1.,0.25,0.01,2*0.,0.01,0.25,
+ &4*0.,0.24,5*0.,3*0.08,0.,1.,2*0.5,0.635,0.212,0.056,0.017,0.048,
+ &0.032,0.07,0.065,2*0.005,2*0.011,5*0.001,0.07,0.065,2*0.005,
+ &2*0.011,5*0.001,0.026,0.019,0.066,0.041,0.045,0.076,0.0073,
+ &2*0.0047,0.026,0.001,0.0006,0.0066,0.005,2*0.003,2*0.0006,
+ &2*0.001,0.006,0.005,0.012,0.0057,0.067,0.008,0.0022,0.027,0.004,
+ &0.019,0.012,0.002,0.009,0.0218,0.001,0.022,0.087,0.001,0.0019,
+ &0.0015,0.0028,0.034,0.027,2*0.002,2*0.004,2*0.002,0.034,0.027/
+ DATA (BRAT(I) ,I= 440, 655)/2*0.002,2*0.004,2*0.002,0.0365,
+ &0.045,0.073,0.062,3*0.021,0.0061,0.015,0.025,0.0088,0.074,0.0109,
+ &0.0041,0.002,0.0035,0.0011,0.001,0.0027,2*0.0016,0.0018,0.011,
+ &0.0063,0.0052,0.018,0.016,0.0034,0.0036,0.0009,0.0006,0.015,
+ &0.0923,0.018,0.022,0.0077,0.009,0.0075,0.024,0.0085,0.067,0.0511,
+ &0.017,0.0004,0.0028,0.01,2*0.02,0.03,2*0.005,2*0.02,0.03,2*0.005,
+ &0.015,0.037,0.028,0.079,0.095,0.052,0.0078,4*0.001,0.028,0.033,
+ &0.026,0.05,0.01,4*0.005,0.25,0.0952,0.02,0.055,2*0.005,0.008,
+ &0.012,0.02,0.055,2*0.005,0.008,0.012,0.01,0.03,0.0035,0.011,
+ &0.0055,0.0042,0.009,0.018,0.015,0.0185,0.0135,0.025,0.0004,
+ &0.0007,0.0008,0.0014,0.0019,0.0025,0.4291,0.08,0.07,0.02,0.015,
+ &0.005,0.02,0.055,2*0.005,0.008,0.012,0.02,0.055,2*0.005,0.008,
+ &0.012,0.01,0.03,0.0035,0.011,0.0055,0.0042,0.009,0.018,0.015,
+ &0.0185,0.0135,0.025,0.0004,0.0007,0.0008,0.0014,0.0019,0.0025,
+ &0.4291,0.08,0.07,0.02,0.015,0.005,0.02,0.055,2*0.005,0.008,0.012,
+ &0.02,0.055,2*0.005,0.008,0.012,0.01,0.03,0.0035,0.011,0.0055,
+ &0.0042,0.009,0.018,0.015,0.0185,0.0135,0.025,2*0.0002,0.0007,
+ &2*0.0004,0.0014,0.001,0.0009,0.0025,0.4291,0.08,0.07,0.02,0.015,
+ &0.005,0.047,0.122,0.006,0.012,0.035,0.012,0.035,0.003,0.007,0.15,
+ &0.037,0.008,0.002,0.05,0.015,0.003,0.001,0.014,0.042,0.014,0.042/
+ DATA (BRAT(I) ,I= 656, 931)/0.24,0.065,0.012,0.003,0.001,0.002,
+ &0.001,0.002,0.014,0.003,0.988,0.012,0.389,0.319,0.2367,0.049,
+ &0.005,0.001,0.0003,0.441,0.206,0.3,0.03,0.022,0.001,5*1.,0.99955,
+ &0.00045,0.665,0.333,0.002,0.666,0.333,0.001,0.65,0.3,0.05,0.56,
+ &0.44,5*1.,0.99912,0.00079,0.00005,0.00004,0.888,0.085,0.021,
+ &2*0.003,0.49,0.344,3*0.043,0.023,0.013,0.001,0.0627,0.0597,
+ &0.8776,3*0.027,0.015,0.045,0.015,0.045,0.77,0.029,4*1.,0.28,0.14,
+ &0.313,0.157,0.11,0.28,0.14,0.313,0.157,0.11,0.667,0.333,0.667,
+ &0.333,2*0.5,0.667,0.333,0.667,0.333,4*0.5,1.,0.333,0.334,0.333,
+ &4*0.25,6*1.,0.667,0.333,0.667,0.333,0.667,0.333,0.667,0.333,
+ &2*0.5,0.667,0.333,0.667,0.333,4*0.5,1.,0.52,0.26,0.11,2*0.055,
+ &0.62,0.31,0.035,2*0.0175,0.007,0.993,0.02,0.98,3*1.,2*0.5,0.667,
+ &0.333,0.667,0.333,0.667,0.333,0.667,0.333,2*0.5,0.667,0.333,
+ &0.667,0.333,6*0.5,3*0.12,0.097,0.043,4*0.095,4*0.03,4*0.25,0.273,
+ &0.727,0.35,0.65,3*1.,2*0.35,0.144,0.105,0.048,0.003,0.333,0.166,
+ &0.168,0.084,0.087,0.043,0.059,2*0.029,0.002,0.332,0.166,0.168,
+ &0.084,0.086,0.043,0.059,2*0.029,2*0.002,0.3,0.15,0.16,0.08,0.13,
+ &0.06,0.08,0.04,0.3,0.15,0.16,0.08,0.13,0.06,0.08,0.04,2*0.3,
+ &2*0.2,0.3,0.15,0.16,0.08,0.13,0.06,0.08,0.04,0.3,0.15,0.16,0.08,
+ &0.13,0.06,0.08,0.04,2*0.3,2*0.2,2*0.3,2*0.2,2*0.35,0.144,0.105/
+ DATA (BRAT(I) ,I= 932,2000)/0.024,2*0.012,0.003,0.566,0.283,
+ &0.069,0.028,0.023,2*0.0115,0.005,0.003,0.356,2*0.178,0.28,
+ &2*0.004,0.135,0.865,0.22,0.78,3*1.,0.217,0.124,2*0.193,2*0.135,
+ &0.002,0.001,0.686,0.314,2*0.0083,0.1866,0.324,0.184,0.027,0.001,
+ &0.093,0.087,0.078,0.0028,3*0.014,0.008,0.024,0.008,0.024,0.425,
+ &0.02,0.185,0.088,0.043,0.067,0.066,0.641,0.357,2*0.001,0.018,
+ &2*0.005,0.003,0.002,2*0.006,0.018,2*0.005,0.003,0.002,2*0.006,
+ &0.0066,0.025,0.016,0.0088,2*0.005,0.0058,0.005,0.0055,4*0.004,
+ &2*0.002,2*0.004,0.003,0.002,2*0.003,3*0.002,2*0.001,0.002,
+ &2*0.001,2*0.002,0.0013,0.0018,5*0.001,4*0.003,2*0.005,2*0.002,
+ &2*0.001,2*0.002,2*0.001,0.2432,0.057,2*0.035,0.15,2*0.075,0.03,
+ &2*0.015,2*1.,2*0.105,0.04,0.0077,0.02,0.0235,0.0285,0.0435,
+ &0.0011,0.0022,0.0044,0.4291,0.08,0.07,0.02,0.015,0.005,2*1.,
+ &0.999,0.001,1.,0.516,0.483,0.001,1.,0.995,0.005,13*1.,0.331,
+ &0.663,0.006,0.663,0.331,0.006,1.,0.88,2*0.06,0.88,2*0.06,0.88,
+ &2*0.06,0.667,2*0.333,0.667,0.676,0.234,0.085,0.005,3*1.,4*0.5,
+ &7*1.,847*0./
+ DATA (KFDP(I,1),I= 1, 507)/21,22,23,4*-24,25,21,22,23,4*24,25,
+ &21,22,23,4*-24,25,21,22,23,4*24,25,21,22,23,4*-24,25,21,22,23,
+ &4*24,25,37,21,22,23,4*-24,25,2*-37,21,22,23,4*24,25,2*37,22,23,
+ &-24,25,23,24,-12,22,23,-24,25,23,24,-12,-14,35*16,22,23,-24,25,
+ &23,24,-89,22,23,-24,25,-37,23,24,37,1,2,3,4,5,6,7,8,21,1,2,3,4,5,
+ &6,7,8,11,13,15,17,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,4*-1,
+ &4*-3,4*-5,4*-7,-11,-13,-15,-17,1,2,3,4,5,6,7,8,11,13,15,17,21,
+ &2*22,23,24,1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,24,37,2*23,25,
+ &35,4*-1,4*-3,4*-5,4*-7,-11,-13,-15,-17,3*24,1,2,3,4,5,6,7,8,11,
+ &13,15,17,21,2*22,23,24,23,25,36,1,2,3,4,5,6,7,8,11,13,15,17,21,
+ &2*22,23,24,23,-1,-3,-5,-7,-11,-13,-15,-17,24,5,6,21,2,1,2,3,4,5,
+ &6,11,13,15,82,-11,-13,2*2,-12,-14,-16,2*-2,2*-4,-2,-4,2*89,37,
+ &2*-89,2*5,-37,2*89,4*-1,4*-3,4*-5,4*-7,-11,-13,-15,-17,-13,130,
+ &310,-13,3*211,12,14,11*-11,11*-13,-311,-313,-311,-313,-20313,
+ &2*-311,-313,-311,-313,2*111,2*221,2*331,2*113,2*223,2*333,-311,
+ &-313,2*-321,211,-311,-321,333,-311,-313,-321,211,2*-321,2*-311,
+ &-321,211,113,8*-11,8*-13,-321,-323,-321,-323,-311,2*-313,-311,
+ &-313,2*-311,-321,-10323,-321,-323,-321,-311,2*-313,211,111,333,
+ &3*-321,-311,-313,-321,-313,310,333,211,2*-321,-311,-313,-311,211,
+ &-321,3*-311,211,113,321,-15,5*-11,5*-13,221,331,333,221,331,333/
+ DATA (KFDP(I,1),I= 508, 924)/10221,211,213,211,213,321,323,321,
+ &323,2212,221,331,333,221,2*2,6*12,6*14,2*16,3*-411,3*-413,2*-411,
+ &2*-413,2*441,2*443,2*20443,2*2,2*4,2,4,6*12,6*14,2*16,3*-421,
+ &3*-423,2*-421,2*-423,2*441,2*443,2*20443,2*2,2*4,2,4,6*12,6*14,
+ &2*16,3*-431,3*-433,2*-431,2*-433,3*441,3*443,3*20443,2*2,2*4,2,4,
+ &16,2*4,2*12,2*14,2*16,4*2,4*4,2*-11,2*-13,2*-1,2*-3,2*-11,2*-13,
+ &2*-1,3*22,111,211,2*22,211,22,211,111,3*22,111,82,21,3*0,2*211,
+ &321,3*311,2*321,421,2*411,2*421,431,511,521,531,541,211,111,13,
+ &11,211,22,211,2*111,321,130,-213,113,213,211,22,111,11,13,82,11,
+ &13,15,1,2,3,4,21,22,3*0,223,321,311,323,313,2*311,321,313,323,
+ &321,423,2*413,2*423,413,523,2*513,2*523,2*513,523,223,213,113,
+ &-213,313,-313,323,-323,82,21,3*0,221,321,2*311,321,421,2*411,421,
+ &411,421,521,2*511,2*521,2*511,521,221,211,111,321,130,310,211,
+ &111,321,130,310,443,82,553,21,3*0,113,213,323,2*313,323,423,
+ &2*413,2*423,413,523,2*513,2*523,2*513,523,213,-213,10211,10111,
+ &-10211,2*221,213,2*113,-213,2*321,2*311,313,-313,323,-323,443,82,
+ &553,21,3*0,213,113,221,223,321,211,321,311,323,313,323,313,321,
+ &4*311,321,313,323,313,323,311,4*321,421,411,423,413,423,413,421,
+ &2*411,421,413,423,413,423,411,2*421,411,423,413,521,511,523,513,
+ &523,513,521,2*511,521,513,523,513,523,511,2*521,511,523,513,511/
+ DATA (KFDP(I,1),I= 925,2000)/521,513,523,213,-213,221,223,321,
+ &130,310,111,211,111,2*211,321,130,310,221,111,321,130,310,221,
+ &211,111,443,82,553,21,3*0,111,211,-12,12,-14,14,211,111,211,111,
+ &11,13,82,4*443,10441,20443,445,441,11,13,15,1,2,3,4,21,22,2*553,
+ &10551,20553,555,2212,2*2112,-12,7*-11,7*-13,2*2224,2*2212,2*2214,
+ &2*3122,2*3212,2*3214,5*3222,4*3224,2*3322,3324,2*2224,7*2212,
+ &5*2214,2*2112,2*2114,2*3122,2*3212,2*3214,2*3222,2*3224,4*2,3,
+ &2*2,1,2*2,2*0,-12,-14,-16,5*4122,441,443,20443,2*-2,2*-4,-2,-4,
+ &2*0,2112,-12,3122,2212,2112,2212,3*3122,3*4122,4132,4232,0,
+ &3*5122,5132,5232,0,2112,2212,2*2112,2212,2112,2*2212,3122,3212,
+ &3112,3122,3222,3112,3122,3222,3212,3322,3312,3322,3312,3122,3322,
+ &3312,-12,3*4122,2*4132,2*4232,4332,3*5122,5132,5232,5332,847*0/
+ DATA (KFDP(I,2),I= 1, 476)/3*1,2,4,6,8,1,3*2,1,3,5,7,2,3*3,2,4,
+ &6,8,3,3*4,1,3,5,7,4,3*5,2,4,6,8,5,3*6,1,3,5,7,6,5,3*7,2,4,6,8,7,
+ &4,6,3*8,1,3,5,7,8,5,7,2*11,12,11,12,2*11,2*13,14,13,14,13,11,13,
+ &-211,-213,-211,-213,-211,-213,3*-211,-321,-323,-321,-323,3*-321,
+ &4*-211,-213,-211,-213,-211,-213,-211,-213,-211,-213,6*-211,2*15,
+ &16,15,16,15,18,2*17,18,17,2*18,2*17,-1,-2,-3,-4,-5,-6,-7,-8,21,
+ &-1,-2,-3,-4,-5,-6,-7,-8,-11,-13,-15,-17,-1,-2,-3,-4,-5,-6,-7,-8,
+ &-11,-12,-13,-14,-15,-16,-17,-18,2,4,6,8,2,4,6,8,2,4,6,8,2,4,6,8,
+ &12,14,16,18,-1,-2,-3,-4,-5,-6,-7,-8,-11,-13,-15,-17,21,22,2*23,
+ &-24,-1,-2,-3,-4,-5,-6,-7,-8,-11,-12,-13,-14,-15,-16,-17,-18,-24,
+ &-37,22,25,2*36,2,4,6,8,2,4,6,8,2,4,6,8,2,4,6,8,12,14,16,18,23,22,
+ &25,-1,-2,-3,-4,-5,-6,-7,-8,-11,-13,-15,-17,21,22,2*23,-24,2*25,
+ &36,-1,-2,-3,-4,-5,-6,-7,-8,-11,-13,-15,-17,21,22,2*23,-24,25,2,4,
+ &6,8,12,14,16,18,25,-5,-6,21,11,-3,-4,-5,-6,-7,-8,-13,-15,-17,-82,
+ &12,14,-1,-3,11,13,15,1,4,3,4,1,3,5,3,5,6,4,21,22,4,7,5,2,4,6,8,2,
+ &4,6,8,2,4,6,8,2,4,6,8,12,14,16,18,14,2*0,14,111,211,111,-11,-13,
+ &11*12,11*14,2*211,2*213,211,20213,2*321,2*323,211,213,211,213,
+ &211,213,211,213,211,213,211,213,3*211,213,211,2*321,8*211,2*113,
+ &2*211,8*12,8*14,2*211,2*213,2*111,221,2*113,223,333,20213,211,
+ &2*321,323,2*311,313,-211,111,113,2*211,321,2*211,311,321,310,211/
+ DATA (KFDP(I,2),I= 477, 857)/-211,4*211,321,4*211,113,2*211,-321,
+ &16,5*12,5*14,3*211,3*213,211,2*111,2*113,2*-311,2*-313,-2112,
+ &3*321,323,2*-1,6*-11,6*-13,2*-15,211,213,20213,211,213,20213,431,
+ &433,431,433,311,313,311,313,311,313,-1,-4,-3,-4,-1,-3,6*-11,
+ &6*-13,2*-15,211,213,20213,211,213,20213,431,433,431,433,321,323,
+ &321,323,321,323,-1,-4,-3,-4,-1,-3,6*-11,6*-13,2*-15,211,213,
+ &20213,211,213,20213,431,433,431,433,221,331,333,221,331,333,221,
+ &331,333,-1,-4,-3,-4,-1,-3,-15,-3,-1,2*-11,2*-13,2*-15,-1,-4,-3,
+ &-4,-3,-4,-1,-4,2*12,2*14,2,3,2,3,2*12,2*14,2,1,22,11,22,111,-211,
+ &211,11,-211,13,-211,111,113,223,22,111,-82,21,3*0,111,22,-211,
+ &111,22,211,111,22,211,111,22,111,6*22,-211,22,-13,-11,-211,111,
+ &-211,2*111,-321,310,211,111,2*-211,221,22,-11,-13,-82,-11,-13,
+ &-15,-1,-2,-3,-4,2*21,3*0,211,-213,113,-211,111,223,213,113,211,
+ &111,223,211,111,-211,111,321,311,-211,111,211,111,-321,-311,411,
+ &421,111,-211,111,211,-311,311,-321,321,-82,21,3*0,211,-211,111,
+ &211,111,211,111,-211,111,311,321,-211,111,211,111,-321,-311,411,
+ &421,111,-211,111,-321,130,310,-211,111,-321,130,310,22,-82,22,21,
+ &3*0,211,111,-211,111,211,111,211,111,-211,111,321,311,-211,111,
+ &211,111,-321,-311,411,421,-211,211,-211,111,2*211,111,-211,211,
+ &111,211,-321,2*-311,-321,-311,311,-321,321,22,-82,22,21,3*0,111/
+ DATA (KFDP(I,2),I= 858,2000)/3*211,-311,22,-211,111,-211,111,
+ &-211,211,-213,113,223,221,211,111,211,111,2*211,213,113,223,221,
+ &22,211,111,211,111,4*211,-211,111,-211,111,-211,211,-211,211,321,
+ &311,321,311,-211,111,-211,111,-211,211,-211,2*211,111,211,111,
+ &4*211,-321,-311,-321,-311,411,421,411,421,-211,211,111,211,-321,
+ &130,310,22,-211,111,2*-211,-321,130,310,221,111,-321,130,310,221,
+ &-211,111,22,-82,22,21,3*0,111,-211,11,-11,13,-13,-211,111,-211,
+ &111,-11,-13,-82,211,111,221,111,4*22,-11,-13,-15,-1,-2,-3,-4,
+ &2*21,211,111,3*22,-211,111,22,11,7*12,7*14,-321,-323,-311,-313,
+ &-311,-313,211,213,211,213,211,213,111,221,331,113,223,111,221,
+ &113,223,321,323,321,-211,-213,111,221,331,113,223,333,10221,111,
+ &221,331,113,223,211,213,211,213,321,323,321,323,321,323,311,313,
+ &311,313,2*-1,-3,-1,2203,3201,3203,2203,2101,2103,2*0,11,13,15,
+ &-211,-213,-20213,-431,-433,3*3122,1,4,3,4,1,3,2*0,-211,11,22,111,
+ &211,22,-211,111,22,-211,111,211,2*22,0,-211,111,211,2*22,0,
+ &2*-211,111,22,111,211,22,211,2*-211,2*111,-211,2*211,111,211,
+ &-211,2*111,211,-321,-211,111,11,-211,111,211,111,22,111,2*22,
+ &-211,111,211,3*22,847*0/
+ DATA (KFDP(I,3),I= 1, 944)/75*0,14,6*0,2*16,2*0,5*111,310,130,
+ &2*0,2*111,310,130,321,113,211,223,221,2*113,2*211,2*223,2*221,
+ &2*113,221,113,2*213,-213,195*0,4*3,4*4,1,4,3,2*2,10*81,25*0,-211,
+ &3*111,-311,-313,-311,-321,-313,-323,111,221,331,113,223,-311,
+ &-313,-311,-321,-313,-323,111,221,331,113,223,22*0,111,113,2*211,
+ &-211,-311,211,111,3*211,-211,7*211,-321,-323,-311,-321,-313,-323,
+ &-211,-213,-321,-323,-311,-321,-313,-323,-211,-213,22*0,111,113,
+ &-311,2*-211,211,-211,310,-211,2*111,211,2*-211,-321,-211,2*211,
+ &-211,111,-211,2*211,0,221,331,333,321,311,221,331,333,321,311,
+ &20*0,3,0,-411,-413,-10413,-10411,-20413,-415,-411,-413,-10413,
+ &-10411,-20413,-415,-411,-413,16*0,-4,-1,-4,-3,2*-2,-421,-423,
+ &-10423,-10421,-20423,-425,-421,-423,-10423,-10421,-20423,-425,
+ &-421,-423,16*0,-4,-1,-4,-3,2*-2,-431,-433,-10433,-10431,-20433,
+ &-435,-431,-433,-10433,-10431,-20433,-435,-431,-433,19*0,-4,-1,-4,
+ &-3,2*-2,3*0,441,443,441,443,441,443,-4,-1,-4,-3,-4,-3,-4,-1,531,
+ &533,531,533,3,2,3,2,511,513,511,513,1,2,0,-11,0,2*111,-211,-11,
+ &11,-13,2*221,3*0,111,27*0,111,2*0,22,111,5*0,111,12*0,2*21,103*0,
+ &-211,2*111,-211,3*111,-211,111,211,14*0,111,6*0,111,-211,8*0,111,
+ &-211,9*0,111,-211,111,-211,4*0,111,-211,111,-211,8*0,111,-211,
+ &111,-211,4*0,111,-211,111,-211,11*0,-211,6*0,111,211,4*0,111/
+ DATA (KFDP(I,3),I= 945,2000)/13*0,2*111,211,-211,211,-211,7*0,
+ &-211,111,13*0,2*21,-211,111,6*0,2212,3122,3212,3214,2112,2114,
+ &2212,2112,3122,3212,3214,2112,2114,2212,2112,52*0,3*3,1,8*0,
+ &3*4122,8*0,4,1,4,3,2*2,3*0,2112,43*0,3322,861*0/
+ DATA (KFDP(I,4),I= 1,2000)/88*0,3*111,8*0,-211,0,-211,3*0,111,
+ &2*-211,0,111,0,2*111,113,221,111,-213,-211,211,195*0,13*81,41*0,
+ &111,211,111,211,7*0,111,211,111,211,35*0,2*-211,2*111,211,111,
+ &-211,2*211,2*-211,2*0,-211,111,-211,111,4*0,-211,111,-211,111,
+ &34*0,111,-211,3*111,3*-211,2*111,3*-211,4*0,-321,-311,3*0,-321,
+ &-311,20*0,-3,31*0,6*1,30*0,6*2,33*0,6*3,9*0,8*4,4*0,4*-5,4*0,
+ &2*-5,7*0,-11,264*0,111,-211,4*0,111,57*0,-211,111,5*0,-211,111,
+ &52*0,2101,2103,2*2101,19*0,6*2101,909*0/
+ DATA (KFDP(I,5),I= 1,2000)/90*0,111,16*0,111,7*0,111,0,2*111,
+ &303*0,-211,2*111,-211,111,-211,111,54*0,111,-211,3*111,-211,111,
+ &1510*0/
+
+C...LUDAT4, with character strings.
+ DATA (CHAF(I) ,I= 1, 281)/'d','u','s','c','b','t','l','h',
+ &2*' ','e','nu_e','mu','nu_mu','tau','nu_tau','chi','nu_chi',
+ &2*' ','g','gamma','Z','W','H',2*' ','reggeon','pomeron',2*' ',
+ &'Z''','Z"','W''','H''','A','H','eta_tech','LQ_ue','R',40*' ',
+ &'specflav','rndmflav','phasespa','c-hadron','b-hadron',
+ &'t-hadron','l-hadron','h-hadron','Wvirt','diquark','cluster',
+ &'string','indep.','CMshower','SPHEaxis','THRUaxis','CLUSjet',
+ &'CELLjet','table',' ','pi',2*'K',2*'D','D_s',2*'B','B_s','B_c',
+ &'pi','eta','eta''','eta_c','eta_b','eta_t','eta_l','eta_h',2*' ',
+ &'rho',2*'K*',2*'D*','D*_s',2*'B*','B*_s','B*_c','rho','omega',
+ &'phi','J/psi','Upsilon','Theta','Theta_l','Theta_h',2*' ','b_1',
+ &2*'K_1',2*'D_1','D_1s',2*'B_1','B_1s','B_1c','b_1','h_1','h''_1',
+ &'h_1c','h_1b','h_1t','h_1l','h_1h',2*' ','a_0',2*'K*_0',2*'D*_0',
+ &'D*_0s',2*'B*_0','B*_0s','B*_0c','a_0','f_0','f''_0','chi_0c',
+ &'chi_0b','chi_0t','chi_0l','chi_0h',2*' ','a_1',2*'K*_1',
+ &2*'D*_1','D*_1s',2*'B*_1','B*_1s','B*_1c','a_1','f_1','f''_1',
+ &'chi_1c','chi_1b','chi_1t','chi_1l','chi_1h',2*' ','a_2',
+ &2*'K*_2',2*'D*_2','D*_2s',2*'B*_2','B*_2s','B*_2c','a_2','f_2',
+ &'f''_2','chi_2c','chi_2b','chi_2t','chi_2l','chi_2h',2*' ','K_L',
+ &'K_S',8*' ','psi''',3*' ','Upsilon''',45*' ','pi_diffr'/
+ DATA (CHAF(I) ,I= 282, 500)/'n_diffr','p_diffr','rho_diff',
+ &'omega_di','phi_diff','J/psi_di',18*' ','Lambda',5*' ',
+ &'Lambda_c',' ',2*'Xi_c',6*' ','Lambda_b',' ',2*'Xi_b',6*' ','n',
+ &'p',' ',3*'Sigma',2*'Xi',' ',3*'Sigma_c',2*'Xi''_c','Omega_c',
+ &4*' ',3*'Sigma_b',2*'Xi''_b','Omega_b',4*' ',4*'Delta',
+ &3*'Sigma*',2*'Xi*','Omega',3*'Sigma*_c',2*'Xi*_c','Omega*_c',
+ &4*' ',3*'Sigma*_b',2*'Xi*_b','Omega*_b',114*' '/
+
+C...LUDATR, with initial values for the random number generator.
+ DATA MRLU/19780503,0,0,97,33,0/
+
+ END
+
+C*********************************************************************
+
+ SUBROUTINE LYTAUD(ITAU,IORIG,KFORIG,NDECAY)
+
+C...Dummy routine, to be replaced by user, to handle the decay of a
+C...polarized tau lepton.
+C...Input:
+C...ITAU is the position where the decaying tau is stored in /LYJETS/.
+C...IORIG is the position where the mother of the tau is stored;
+C... is 0 when the mother is not stored.
+C...KFORIG is the flavour of the mother of the tau;
+C... is 0 when the mother is not known.
+C...Note that IORIG=0 does not necessarily imply KFORIG=0;
+C... e.g. in B hadron semileptonic decays the W propagator
+C... is not explicitly stored but the W code is still unambiguous.
+C...Output:
+C...NDECAY is the number of decay products in the current tau decay.
+C...These decay products should be added to the /LYJETS/ common block,
+C...in positions N+1 through N+NDECAY. For each product I you must
+C...give the flavour codes K(I,2) and the five-momenta P(I,1), P(I,2),
+C...P(I,3), P(I,4) and P(I,5). The rest will be stored automatically.
+
+ COMMON/LYJETS/N,K(4000,5),P(4000,5),V(4000,5)
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYJETS/,/LYDAT1/
+
+C...Stop program if this routine is ever called.
+C...You should not copy these lines to your own routine.
+ NDECAY=ITAU+IORIG+KFORIG
+ WRITE(MSTU(11),5000)
+ IF(RLY(0).LT.10.) STOP
+
+C...Format for error printout.
+ 5000 FORMAT(1X,'Error: you did not link your LYTAUD routine ',
+ &'correctly.'/1X,'Dummy routine in JETSET file called instead.'/
+ &1X,'Execution stopped!')
+
+
+ RETURN
+ END
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: jetset1.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine jetsetcdf(ip,m,ndaug,kf,km,px,py,pz,e)
+
+C
+C interface to JETSET 7.4 to have one particle decayed
+C including possibly fragmentation, if the decay products include
+C partons.
+C
+
+ implicit none
+
+ INTEGER MSTU,MSTJ
+ REAL PARU,PARJ
+ COMMON/LYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ SAVE /LYDAT1/
+
+ common/lyjets/n,k(4000,5),p(4000,5),v(4000,5)
+
+ integer n,k
+ real p,v
+
+ integer ndmax
+ parameter (ndmax=100)
+
+ integer lycomp
+ external lycomp
+
+ integer ip,kf(ndmax),i,ndaug,km(ndmax)
+ integer kp,kid,ipart1,ipart
+ real*8 m,px(ndmax),py(ndmax),pz(ndmax),e(ndmax)
+
+ integer ip1
+ real qmax
+
+c used to use ly1ent both since it does not set the mass
+c of the daughter we have to manipulate the common blocks our
+c self. ryd April 25-1999
+
+c call ly1ent(1,ip,0.0,0.0,0.0)
+
+ K(1,1)=1
+ K(1,2)=ip
+ P(1,5)=m
+ P(1,4)=m
+ P(1,1)=0.0
+ P(1,2)=0.0
+ P(1,3)=0.0
+ n=1
+
+
+c now we can decay this particle
+ call lydecy(1)
+
+C code copied from LUEXEC to avoid error with shower
+C switched on
+C...Decay products may develop a shower.
+ IF(MSTJ(92).GT.0) THEN
+ IP1=MSTJ(92)
+ QMAX=SQRT(MAX(0.,(P(IP1,4)+P(IP1+1,4))**2-(P(IP1,1)+P(IP1+1,
+ & 1))**2-(P(IP1,2)+P(IP1+1,2))**2-(P(IP1,3)+P(IP1+1,3))**2))
+ CALL LYSHOW(IP1,IP1+1,QMAX)
+ CALL LYPREP(IP1)
+ MSTJ(92)=0
+ ELSEIF(MSTJ(92).LT.0) THEN
+ IP1=-MSTJ(92)
+ CALL LYSHOW(IP1,-3,P(IP1,5))
+ CALL LYPREP(IP1)
+ MSTJ(92)=0
+ ENDIF
+
+c
+c for debugging:
+c call lylist(1)
+c
+ mstj(21)=0
+ call lyexec
+ mstj(21)=2
+
+c find partons, delete secondary partons, set mother pointers
+
+ ndaug = 0
+ ipart1 = 1
+ ipart = 1
+
+ do 10 i=2,n
+ kp = k(i,3)
+ kid = k(i,2)
+ if (abs(kid) .ge. 1 .and. abs(kid) .le. 8
+ 1 .or. kid .eq. 21
+ 2 .or. kid .ge. 91 .and. kid .le. 94) then
+ if (ipart1 .eq. 1) ipart1 = i
+ ipart = i
+ if (kp .ne. 1) goto 10
+ kp = 0
+ else
+ if (kp .gt. ipart) then
+ goto 10
+ elseif (kp .ge. ipart1) then
+ kp = ipart1-1
+ else
+ kp = 0
+ endif
+ endif
+ ndaug = ndaug + 1
+ km(ndaug)=kp
+ kf(ndaug)=kid
+ px(ndaug)=p(i,1)
+ py(ndaug)=p(i,2)
+ pz(ndaug)=p(i,3)
+ e(ndaug)=p(i,4)
+c
+c for debugging:
+c print '( 2I5,I12,4F12.4 )',ndaug,km(ndaug),kf(ndaug),
+c 1 px(ndaug),py(ndaug),pz(ndaug),e(ndaug)
+c
+ 10 continue
+
+ end
+
+
--- /dev/null
+C--------------------------------------------------------------------------
+C
+C Environment:
+C This software is part of the EvtGen package developed jointly
+C for the BaBar and CLEO collaborations. If you use all or part
+C of it, please give an appropriate acknowledgement.
+C
+C Copyright Information: See EvtGen/COPYRIGHT
+C Copyright (C) 1998 Caltech, UCSB
+C
+C Module: jetsetcont.F
+C
+C Description:
+C
+C Modification history:
+C
+C DJL/RYD August 11, 1998 Module created
+C
+C------------------------------------------------------------------------
+ subroutine jetsetcont(energy,flavor,ndaug,kf,px,py,pz,e)
+
+
+
+ implicit none
+
+ common/lujets/n,k(4000,5),p(4000,5),v(4000,5)
+
+ integer n,k
+ real p,v
+
+ real*8 energy
+
+ real senergy
+
+ integer lucomp
+ external lucomp
+
+ integer flavor,kf(100),i,ndaug
+ real*8 px(100),py(100),pz(100),e(100)
+
+ senergy=energy
+
+
+ call lu2ent(0,flavor,-flavor,senergy)
+
+
+ ndaug=0
+
+ do 10,i=4,n
+
+c only wants the particles that are created from the
+c fragmentation, not the secondary daugthers.
+
+ if (k(i,3).eq.3) then
+ kf(i-3)=k(i,2)
+ px(i-3)=p(i,1)
+ py(i-3)=p(i,2)
+ pz(i-3)=p(i,3)
+ e(i-3)=p(i,4)
+ ndaug=ndaug+1
+ endif
+
+10 continue
+
+
+ end
+
+
+
--- /dev/null
+
+C*********************************************************************
+
+C...PYKCUT
+C...Dummy routine, which the user can replace in order to make cuts on
+C...the kinematics on the parton level before the matrix elements are
+C...evaluated and the event is generated. The cross-section estimates
+C...will automatically take these cuts into account, so the given
+C...values are for the allowed phase space region only. MCUT=0 means
+C...that the event has passed the cuts, MCUT=1 that it has failed.
+
+ SUBROUTINE PYKCUT(MCUT)
+
+C...Double precision and integer declarations.
+ IMPLICIT DOUBLE PRECISION(A-H, O-Z)
+ IMPLICIT INTEGER(I-N)
+ INTEGER PYK,PYCHGE,PYCOMP
+C...Commonblocks.
+ COMMON/PYDAT1/MSTU(200),PARU(200),MSTJ(200),PARJ(200)
+ COMMON/PYINT1/MINT(400),VINT(400)
+ COMMON/PYINT2/ISET(500),KFPR(500,2),COEF(500,20),ICOL(40,4,2)
+ COMMON/PYPARS/MSTP(200),PARP(200),MSTI(200),PARI(200)
+ SAVE /PYDAT1/,/PYINT1/,/PYINT2/,/PYPARS/
+
+C...Set default value (accepting event) for MCUT.
+ MCUT=0
+
+C...Read out subprocess number.
+ ISUB=MINT(1)
+ ISTSB=ISET(ISUB)
+
+C...Read out tau, y*, cos(theta), tau' (where defined, else =0).
+ TAU=VINT(21)
+ YST=VINT(22)
+ CTH=0D0
+ IF(ISTSB.EQ.2.OR.ISTSB.EQ.4) CTH=VINT(23)
+ TAUP=0D0
+ IF(ISTSB.GE.3.AND.ISTSB.LE.5) TAUP=VINT(26)
+
+C...Calculate x_1, x_2, x_F.
+ IF(ISTSB.LE.2.OR.ISTSB.GE.5) THEN
+ X1=SQRT(TAU)*EXP(YST)
+ X2=SQRT(TAU)*EXP(-YST)
+ ELSE
+ X1=SQRT(TAUP)*EXP(YST)
+ X2=SQRT(TAUP)*EXP(-YST)
+ ENDIF
+ XF=X1-X2
+
+C...Calculate shat, that, uhat, p_T^2.
+ SHAT=TAU*VINT(2)
+ SQM3=VINT(63)
+ SQM4=VINT(64)
+ RM3=SQM3/SHAT
+ RM4=SQM4/SHAT
+ BE34=SQRT(MAX(0D0,(1D0-RM3-RM4)**2-4D0*RM3*RM4))
+ RPTS=4D0*VINT(71)**2/SHAT
+ BE34L=SQRT(MAX(0D0,(1D0-RM3-RM4)**2-4D0*RM3*RM4-RPTS))
+ RM34=2D0*RM3*RM4
+ RSQM=1D0+RM34
+ RTHM=(4D0*RM3*RM4+RPTS)/(1D0-RM3-RM4+BE34L)
+ THAT=-0.5D0*SHAT*MAX(RTHM,1D0-RM3-RM4-BE34*CTH)
+ UHAT=-0.5D0*SHAT*MAX(RTHM,1D0-RM3-RM4+BE34*CTH)
+ PT2=MAX(VINT(71)**2,0.25D0*SHAT*BE34**2*(1D0-CTH**2))
+
+C...Decisions by user to be put here.
+C WRITE (*,*) "PYKCUT : ",SQRT(SHAT)
+ IF(SHAT.LE.PARP(2)*PARP(2)) MCUT=1
+C...Stop program if this routine is ever called.
+C...You should not copy these lines to your own routine.
+C WRITE(MSTU(11),5000)
+C IF(PYR(0).LT.10D0) STOP
+
+C...Format for error printout.
+ 5000 FORMAT(1X,'Error: you did not link your PYKCUT routine ',
+ &'correctly.'/1X,'Dummy routine in PYTHIA file called instead.'/
+ &1X,'Execution stopped!')
+
+ RETURN
+ END
--- /dev/null
+
+C*********************************************************************
+
+C...PYTIME
+C...Finds current date and time.
+C...Since this task is not standardized in Fortran 77, the routine
+C...is dummy, to be replaced by the user. Examples are given for
+C...the Fortran 90 routine DEC Fortran 77, GNU Linux g77, and what to
+C...do if you do not have access to suitable routines.
+
+ SUBROUTINE PYTIME(IDATI)
+
+C...Double precision and integer declarations.
+ IMPLICIT DOUBLE PRECISION(A-H, O-Z)
+ IMPLICIT INTEGER(I-N)
+C INTEGER PYK,PYCHGE,PYCOMP
+C CHARACTER*8 ATIME
+C...Local array.
+ INTEGER IDATI(6),IDTEMP(3)
+
+C...Example 0: if you do not have suitable routines.
+ DO 100 J=1,6
+ IDATI(J)=0
+ 100 CONTINUE
+
+C...Example 1: Fortran 90 routine.
+C INTEGER IVAL(8)
+C CALL DATE_AND_TIME(VALUES=IVAL)
+C IDATI(1)=IVAL(1)
+C IDATI(2)=IVAL(2)
+C IDATI(3)=IVAL(3)
+C IDATI(4)=IVAL(5)
+C IDATI(5)=IVAL(6)
+C IDATI(6)=IVAL(7)
+
+C...Example 2: DEC Fortran 77. AIX.
+C CALL IDATE(IMON,IDAY,IYEAR)
+C IDATI(1)=IYEAR
+C IDATI(2)=IMON
+C IDATI(3)=IDAY
+C CALL ITIME(IHOUR,IMIN,ISEC)
+C IDATI(4)=IHOUR
+C IDATI(5)=IMIN
+C IDATI(6)=ISEC
+
+C...Example 3: DEC Fortran, IRIX, IRIX64.
+C CALL IDATE(IMON,IDAY,IYEAR)
+C IDATI(1)=IYEAR
+C IDATI(2)=IMON
+C IDATI(3)=IDAY
+C CALL TIME(ATIME)
+C IHOUR=0
+C IMIN=0
+C ISEC=0
+C READ(ATIME(1:2),'(I2)') IHOUR
+C READ(ATIME(4:5),'(I2)') IMIN
+C READ(ATIME(7:8),'(I2)') ISEC
+C IDATI(4)=IHOUR
+C IDATI(5)=IMIN
+C IDATI(6)=ISEC
+
+C...Example 4: GNU LINUX libU77, SunOS.
+ CALL IDATE(IDTEMP)
+ IDATI(1)=IDTEMP(3)
+ IDATI(2)=IDTEMP(2)
+ IDATI(3)=IDTEMP(1)
+ CALL ITIME(IDTEMP)
+ IDATI(4)=IDTEMP(1)
+ IDATI(5)=IDTEMP(2)
+ IDATI(6)=IDTEMP(3)
+
+C...Common code to ensure right century.
+ IDATI(1)=2000+MOD(IDATI(1),100)
+
+ RETURN
+ END
--- /dev/null
+// $Id: rly.cc,v 1.1 2009/02/18 03:34:11 ryd Exp $
+//
+// Define random number generators used by JETSET
+
+#include "EvtGenBase/EvtRandom.hh"
+
+extern "C" {
+ extern float rly_();
+}
+
+float rly_(){
+ return EvtRandom::Flat();
+}
--- /dev/null
+C*******************************************************
+C ---------------------------------------------------------------------
+C The stdhep event common
+C ---------------------------------------------------------------------
+C This is the "official" event common of the HEP community for MC events.
+C NEVHEP = event number
+C NHEP = number of particles ("lines")
+C ISTHEP(N) = stability code; 0 if stable, 1 if decays.
+C IDHEP(I) = particle ID code; see PDG '92, III.73
+C JMOHEP(1,I) = line number of mother particle
+C JMOHEP(2,I) = line number of last mother particle, if formed by string
+C JDAHEP(1,I) = line number of 1st daughter particle
+C JDAHEP(2,I) = line number of last daughter particle - MUST BE CONSECUTIVE!
+C PHEP(5,I) = px,py,pz,E,m of particle
+C VHEP(4,I) = x,y,z,L of production vertex
+
+ INTEGER nmxhep ! maximum number of particles
+ PARAMETER ( nmxhep=4000)
+ REAL*8 phep, vhep ! to be real*4 or *8 depending on host
+ INTEGER nevhep,nhep,isthep,idhep,jmohep,
+ $ jdahep
+ COMMON /hepevt/
+ $ nevhep, ! serial number
+ $ nhep, ! number of particles
+ $ isthep(nmxhep), ! status code
+ $ idhep(nmxhep), ! particle ident KF
+ $ jmohep(2,nmxhep), ! parent particles
+ $ jdahep(2,nmxhep), ! childreen particles
+ $ phep(5,nmxhep), ! four-momentum, mass [GeV]
+ $ vhep(4,nmxhep) ! vertex [mm]
+
+
+
+c$$$ INTEGER NMXHEP,NEVHEP,NHEP,ISTHEP,IDHEP,JMOHEP,JDAHEP
+c$$$ REAL PHEP,VHEP
+c$$$ PARAMETER (NMXHEP=2000)
+c$$$ COMMON/STDHEP/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+c$$$ *JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+c$$$ SAVE /STDHEP/
--- /dev/null
+# -*- mode: cmake -*-
+# Create a library called "lib<name>" which includes the source files given in
+# the array .
+# The extension is already found. Any number of sources could be listed here.
+
+set(INCLUDE_DIRECTORIES
+${CMAKE_SOURCE_DIR}/PHOTOS
+#${CMAKE_SOURCE_DIR}/MICROCERN/kerngen
+${ROOT_INCLUDE_DIR}
+)
+
+include_directories( ${INCLUDE_DIRECTORIES})
+
+set(LINK_DIRECTORIES
+${ROOT_LIBRARY_DIR}
+)
+
+link_directories( ${LINK_DIRECTORIES})
+
+ADD_DEFINITIONS( ${CLIBDEFS} )
+
+SetModule()
+
+include(CMake_libPHOTOS.txt)
+
--- /dev/null
+# -*- mode: cmake -*-
+
+Set(SRCS)
+
+set(CSRCS
+#geteni.c
+#fchput.c
+#fchtak.c
+#dummies.c
+)
+
+set(FSRCS
+phcork.F
+phint.F
+phint1.F
+phlupa.F
+phoan1.F
+phoan2.F
+phobo3.F
+phobos.F
+phocha.F
+phochk.F
+phocin.F
+phocor.F
+phodo.F
+phoene.F
+phoerr.F
+phofac.F
+phoin.F
+phoinf.F
+phoini.F
+phomak.F
+phooma.F
+phoout.F
+phopre.F
+phoran.F
+phorep.F
+phorin.F
+phoro2.F
+phoro3.F
+phospi.F
+photos.F
+photos_get.F
+photos_make.F
+photos_set.F
+photri.F
+photwo.F
+phtype.F
+)
+
+
+# fill list of header files from list of source files
+# by exchanging the file extension
+String(REPLACE ".cxx" ".h" HDRS "${SRCS}")
+
+Set(SRCS ${SRCS} ${FSRCS} ${CSRCS})
+
+AddLibrary(photos "${SRCS}" "${HDRS}")
+
--- /dev/null
+#**************************************************************************
+#**** This file is automatically generated from the mkmodules script *****
+#**** DO NOT EDIT!! *****
+#**************************************************************************
+#-*- Mode: Makefile -*-
+
+#********** This part is for package photos ***********
+
+#Determine if it's a library or a executable
+TYPE=lib
+
+# Package head directory, source and include directories
+MODDIR:=PHOTOS
+MODDIRS:=$(MODDIR)
+MODDIRI:=$(MODDIR)
+MODDIRO:=$(MODDIR)/tgt_$(ALICE_TARGET)
+MODDIRC:=$(MODDIR)/check
+MODDIRZ:=$(MODDIR)/smell
+PHOTOSDIRO:=PHOTOS/tgt_$(ALICE_TARGET)
+
+# Reseting variables before importing pkg-file
+SRCS:=
+HDRS:=
+FSRCS:=
+DHDR:=
+CSRCS:=
+CHDRS:=
+EINCLUDE:=
+EDEFINE:=
+ELIBS:=
+ELIBSDIR:=
+PACKFFLAGS:=
+PACKCXXFLAGS:=
+PACKCFLAGS:=
+PACKDYFLAGS:=
+PACKSOFLAGS:=
+PACKLDFLAGS:=
+PACKBLIBS:=
+EXPORT:=
+EHDRS:=
+CINTHDRS:=
+CINTAUTOLINK:=
+ARLIBS:=
+SHLIBS:=
+
+#-*- Mode: Makefile -*-
+
+FSRCS= phcork.F phint.F phint1.F phlupa.F phoan1.F phoan2.F phobo3.F \
+phobos.F phocha.F phochk.F phocin.F phocor.F phodo.F phoene.F phoerr.F \
+phofac.F phoin.F phoinf.F phoini.F phomak.F phooma.F phoout.F phopre.F \
+phoran.F phorep.F phorin.F phoro2.F phoro3.F phospi.F photos.F photos_get.F \
+photos_make.F photos_set.F photri.F photwo.F phtype.F
+
+#CSRCS= geteni.c fchput.c fchtak.c dummies.c
+
+#ifneq (,$(findstring macosx,$(ALICE_TARGET)))
+#CSRCS+=lnblnk.c
+#endif
+
+EINCLUDE:=
+
+#PACKFFLAGS := $(FFLAGS) -IMICROCERN/kerngen
+PACKFFLAGS := $(FFLAGS) -IPYTHIA6 -L$(ALICE_ROOT)/lib/tgt_$(ALICE_TARGET) -lpythia6
+
+
+#-*- Mode: Makefile -*-
+
+
+ifndef PACKFFLAGS
+photosFFLAGS:=$(FFLAGS)
+else
+photosFFLAGS:=$(PACKFFLAGS)
+endif
+
+ifndef PACKCFLAGS
+photosCFLAGS:=$(CFLAGS)
+else
+photosCFLAGS:=$(PACKCFLAGS)
+endif
+
+ifndef PACKCXXFLAGS
+photosCXXFLAGS:=$(CXXFLAGS)
+else
+photosCXXFLAGS:=$(PACKCXXFLAGS)
+endif
+
+ifndef PACKSOFLAGS
+photosSOFLAGS:=$(SOFLAGS)
+else
+photosSOFLAGS:=$(PACKSOFLAGS)
+endif
+
+ifdef DYEXT
+ifndef PACKDYFLAGS
+photosDYFLAGS:=$(DYFLAGS)
+else
+photosDYFLAGS:=$(PACKDYFLAGS)
+endif
+endif
+
+ifndef PACKLDFLAGS
+photosLDFLAGS:=$(LDFLAGS)
+else
+photosLDFLAGS:=$(PACKLDFLAGS)
+endif
+
+ifndef PACKDCXXFLAGS
+photosDCXXFLAGS:=$(CXXFLAGSNO)
+else
+photosDCXXFLAGS:=$(PACKDCXXFLAGS)
+endif
+
+ifndef PACKBLIBS
+photosBLIBS:=$(LIBS)
+else
+photosBLIBS:=$(PACKBLIBS)
+endif
+
+WITHDICT=
+ifneq ($(DHDR),)
+WITHDICT=YES
+else
+ifneq ($(CINTAUTOLINK),)
+WITHDICT=YES
+endif
+endif
+
+# Headerfiles exported to common place:
+photosEXPORT:=$(EXPORT)
+photosEXPORTDEST:=$(patsubst %,$(EXPORTDIR)/%,$(EXPORT))
+
+
+#Extra include,libs, defines etc.
+
+photosDEFINE:=$(EDEFINE) -D_MODULE_=\"PHOTOS\"
+
+photosINC:=$(patsubst %,-I%,$(EINCLUDE)) -IPHOTOS
+
+photosELIBS:=$(patsubst %,-l%,$(ELIBS))
+photosELIBSDEP:=$(patsubst %,lib/tgt_$(ALICE_TARGET)/lib%.$(SOEXT),$(ELIBS))
+photosELIBSDIR:=$(patsubst %,-L%,$(ELIBSDIR))
+
+#c sources and headers
+
+photosCS:=$(patsubst %,$(MODDIR)/%,$(CSRCS))
+photosCH:=$(patsubst %,$(MODDIR)/%,$(CHDRS))
+
+#Fortran sources
+photosFS:=$(patsubst %,$(MODDIR)/%,$(FSRCS))
+
+#c++ sources and header
+photosS:=$(patsubst %,$(MODDIR)/%,$(SRCS))
+photosH:=$(patsubst %,$(MODDIR)/%,$(HDRS)) $(EHDRS)
+
+#############################################################################
+#
+# If special rootcint headerfiles is specified use them
+# else use all headers
+
+ifndef CINTHDRS
+photosCINTHDRS:=$(photosH)
+else
+photosCINTHDRS:=$(CINTHDRS:%=PHOTOS/%)
+#photosCINTHDRS:=$(pathsubst %,PHOTOS/%,$(CINTHDRS))
+endif
+photosCINTCLASSES:=$(patsubst %.h,%,$(notdir $(photosCINTHDRS)))
+#############################################################################
+
+# Package Dictionary
+ifneq ($(DHDR),)
+photosDH:=$(MODDIR)/$(DHDR)
+else
+photosDH:=
+endif
+ifneq ($(CINTAUTOLINK),)
+photosDAL:=$(MODDIRO)/G__photosAutoLinkDef.h
+photosDH+=$(photosDAL)
+endif
+
+#All objects
+photosCXXO:=$(patsubst %,$(MODDIRO)/%, $(SRCS:.cxx=.o))
+photosCO:=$(patsubst %,$(MODDIRO)/%, $(CSRCS:.c=.o))
+photosSMALLFO:=$(patsubst %.f,$(MODDIRO)/%.o, $(filter %.f, $(FSRCS)))
+photosCAPITFO:=$(patsubst %.F,$(MODDIRO)/%.o, $(filter %.F, $(FSRCS)))
+photosFO:=$(photosSMALLFO) $(photosCAPITFO)
+photosO:= $(photosCXXO) $(photosFO) $(photosCO)
+photosCHV:=$(patsubst %,$(MODDIRC)/%, $(SRCS:.cxx=.viol))
+photosSML:=$(sort $(patsubst %,$(MODDIRZ)/%, $(filter $(SRCS:.cxx=.smell),$(HDRS:.h=.smell))))
+
+
+ifdef WITHDICT
+ photosDS:=$(MODDIRO)/G__photos.cxx
+ photosDO:=$(MODDIRO)/G__photos.o
+ photosDDEP:=$(photosDO:.o=.d)
+ photosDEP:=$(photosO:.o=.d) $(photosDDEP)
+else
+ photosDS:=
+ photosDO:=
+ photosDDEP:=
+ photosDEP:=$(photosO:.o=.d)
+endif
+
+
+#The actual library file
+
+photosLIB:=$(LIBPATH)/libphotos.$(SOEXT)
+
+ifneq ($(DYEXT),)
+photosDLIB:=$(LIBPATH)/libphotos.$(DYEXT)
+endif
+
+photosALIB:=$(LIBPATH)/libphotos.$(AEXT)
+
+#Add this to the modules libs
+ifeq ($(TYPE),lib)
+PHOTOSLIBS += $(photosLIB)
+PHOTOSALIBS += $(photosALIB)
+ifneq ($(DYEXT),)
+PHOTOSDLIBS += $(photosDLIB)
+endif
+endif
+
+#The actual binary file
+
+photosBIN:=$(BINPATH)/photos
+
+#Add to modules list of binaries
+PHOTOSBINS += $(photosBIN)
+
+# Use in the main Makefile
+
+ifeq ($(TYPE),lib)
+ALLLIBS += $(photosLIB)
+ALLALIBS += $(photosALIB)
+ifneq ($(DYEXT),)
+ALLLIBS += $(photosDLIB)
+endif
+BINLIBS += -lphotos
+else
+ALLEXECS += $(photosBIN)
+endif
+
+ifeq ($(DYEXT),)
+photosLIB := $(photosLIB)
+else
+photosLIB := $(photosLIB)
+endif
+
+# include all dependence files
+INCLUDEFILES +=$(photosDEP)
+
+EXPORTFILES += $(photosEXPORTDEST)
+
+#local rules
+
+#The exportfiles only include if any!!
+
+ifdef photosEXPORT
+#$(photosEXPORTDEST): $(patsubst %,PHOTOS/%,$(photosEXPORT))
+
+$(photosEXPORTDEST): $(EXPORTDIR)/%.h: PHOTOS/%.h
+ifndef ALIQUIET
+ @echo "***** Copying file $^ to $@ *****"
+endif
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ @cp $^ $@
+endif
+
+#------------------------------------------------------------------------
+
+ifneq (,$(findstring macosx,$(ALICE_TARGET)))
+$(photosLIB): $(photosDLIB) $(photosO) $(photosDO) PHOTOS/module.mk
+ifndef ALIQUIET
+ @echo "***** Linking library $@ *****"
+endif
+ $(MUTE)rm -f $@; cd $(dir $@); ln -s $(notdir $(photosDLIB)) $(notdir $@)
+else
+$(photosLIB):$(photosO) $(photosDO) PHOTOS/module.mk
+ifndef ALIQUIET
+ @echo "***** Linking library $@ *****"
+endif
+ \rm -f "$(CURDIR)"/$@ ;\
+ cd $(PHOTOSDIRO) ;\
+ $(SHLD) $(photosSOFLAGS) -o "$(CURDIR)"/$@ $(patsubst $(PHOTOSDIRO)/%,%,$(photosO) $(photosDO)) $(photosELIBSDIR) $(photosELIBS) $(SHLIB);\
+ chmod a-w "$(CURDIR)"/$@ ;\
+ cd $(ALICE_ROOT)
+endif
+
+ifneq ($(DYEXT),)
+$(photosDLIB):$(photosO) $(photosDO) PHOTOS/module.mk
+ifndef ALIQUIET
+ @echo "***** Linking library $@ *****"
+endif
+ \rm -f "$(CURDIR)"/$@ ;\
+ cd $(PHOTOSDIRO) ;\
+ $(DYLD) $(photosDYFLAGS) -o "$(CURDIR)"/$@ $(patsubst $(PHOTOSDIRO)/%,%,$(photosO) $(photosDO)) $(photosELIBSDIR) $(photosELIBS) $(DYLIB);\
+ chmod a-w "$(CURDIR)"/$@ ;\
+ cd $(ALICE_ROOT)
+endif
+
+#------------------------------------------------------------------------
+
+$(photosALIB):$(photosO) $(photosDO) PHOTOS/module.mk
+ifndef ALIQUIET
+ @echo "***** Linking static library $@ *****"
+endif
+ \rm -f "$(CURDIR)"/$@ ;\
+ cd $(PHOTOSDIRO) ;\
+ $(ALLD) $(ALFLAGS) "$(CURDIR)"/$@ $(patsubst $(PHOTOSDIRO)/%,%,$(photosO) $(photosDO)) $(photosELIBSDIR) $(photosELIBS) $(ALLIB);\
+ cd $(ALICE_ROOT)
+
+
+$(photosBIN):$(photosO) $(photosDO) PHOTOS/module.mk
+ifndef ALIQUIET
+ @echo "***** Making executable $@ *****"
+endif
+ifeq ($(ALIPROFILE),YES)
+ $(MUTE)$(LD) $(photosLDFLAGS) $(photosO) $(ARLIBS) $(SHLIBS) $(photosBLIBS) $(EXEFLAGS) -o $@
+else
+ $(MUTE)$(LD) $(photosLDFLAGS) $(photosO) $(photosDO) $(BINLIBDIRS) $(photosELIBSDIR) $(photosELIBS) $(photosBLIBS) $(EXEFLAGS) -o $@
+endif
+
+$(photosDAL): $(photosCINTHDRS) PHOTOS/module.mk
+ifndef ALIQUIET
+ @echo "***** Creating $@ *****";
+endif
+ $(MUTE)echo '//automatically generated ROOT DICT definition' > $@
+ $(MUTE)echo '//!!! DO NOT EDIT THIS FILE !!!' >> $@
+ $(MUTE)echo '#ifdef __CINT__' >> $@
+ $(MUTE)echo '#pragma link off all globals;' >> $@
+ $(MUTE)echo '#pragma link off all classes;' >> $@
+ $(MUTE)echo '#pragma link off all functions;' >> $@
+ $(MUTE)$(foreach i, $(photosCINTCLASSES), \
+ echo "#pragma link C++ class $(i)+;" >> $@ ;)
+ $(MUTE)echo '#endif' >> $@
+
+$(photosDS): $(photosCINTHDRS) $(photosDH) PHOTOS/module.mk
+ifndef ALIQUIET
+ @echo "***** Creating $@ *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ @\rm -f $(patsubst %.cxx,%.d, $@)
+ $(MUTE)rootcint -f $@ -c $(photosDEFINE) $(CINTFLAGS) $(photosINC) $(photosCINTHDRS) $(photosDH)
+
+$(photosDO): $(photosDS)
+ifndef ALIQUIET
+ @echo "***** Compiling $< *****";
+endif
+ $(MUTE)$(CXX) $(photosDEFINE) -c $(photosINC) -I$(ALICE_ROOT) $< -o $@ $(photosDCXXFLAGS)
+
+
+#Different targets for the module
+
+ifeq ($(TYPE),lib)
+all-PHOTOS: $(photosLIB)
+ifneq ($(DYEXT),)
+all-PHOTOS: $(photosDLIB)
+endif
+else
+all-PHOTOS: $(photosBIN)
+endif
+
+
+depend-photos: $(photosDEP)
+
+# determination of object files
+$(photosCXXO): $(MODDIRO)/%.o: $(MODDIR)/%.cxx $(MODDIRO)/%.d
+ifndef ALIQUIET
+ @echo "***** Compiling $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ $(MUTE)$(CXX) $(photosDEFINE) -c $(photosINC) $< -o $@ $(photosCXXFLAGS)
+
+$(photosCAPITFO): $(MODDIRO)/%.o: $(MODDIR)/%.F $(MODDIRO)/%.d
+ifndef ALIQUIET
+ @echo "***** Compiling $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ $(MUTE)$(F77) -c $(photosINC) $< -o $@ $(photosFFLAGS)
+
+$(photosSMALLFO): $(MODDIRO)/%.o: $(MODDIR)/%.f $(MODDIRO)/%.d
+ifndef ALIQUIET
+ @echo "***** Compiling $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ $(MUTE)$(F77) -c $(photosINC) $< -o $@ $(photosFFLAGS)
+
+$(photosCO): $(MODDIRO)/%.o: $(MODDIR)/%.c $(MODDIRO)/%.d
+ifndef ALIQUIET
+ @echo "***** Compiling $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ $(MUTE)$(CC) $(photosDEFINE) -c $(photosINC) $< -o $@ $(photosCFLAGS)
+
+$(photosDDEP): $(photosDS)
+ifndef ALIQUIET
+ @echo "***** Making dependences for $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ @share/alibtool depend "$(photosELIBSDIR) $(photosINC) $(DEPINC) $<" > $@
+
+$(photosCXXO:.o=.d): $(MODDIRO)/%.d: $(MODDIRS)/%.cxx
+ifndef ALIQUIET
+ @echo "***** Making dependences for $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ @share/alibtool depend "$(photosDEFINE) $(photosELIBSDIR) $(photosINC) $(DEPINC) $<" > $@
+
+$(photosSMALLFO:.o=.d): $(MODDIRO)/%.d: $(MODDIRS)/%.f
+ifndef ALIQUIET
+ @echo "***** Making dependences for $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ @share/alibtool dependF "$(photosELIBSDIR) $(photosINC) $(DEPINC) $<" > $@
+
+$(photosCAPITFO:.o=.d): $(MODDIRO)/%.d: $(MODDIRS)/%.F
+ifndef ALIQUIET
+ @echo "***** Making dependences for $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ $(MUTE)share/alibtool dependF "$(photosELIBSDIR) $(photosINC) $(DEPINC) $<" > $@
+
+$(photosCO:.o=.d): $(MODDIRO)/%.d: $(MODDIRS)/%.c
+ifndef ALIQUIET
+ @echo "***** Making dependences for $< *****";
+endif
+ @(if [ ! -d '$(dir $@)' ]; then echo "***** Making directory $(dir $@) *****"; mkdir -p $(dir $@); fi;)
+ @share/alibtool depend "$(photosDEFINE) $(photosELIBSDIR) $(photosINC) $(DEPINC) $<" > $@
+
+.PRECIOUS: $(patsubst %.cxx,$(MODDIRO)/%.d,$(SRCS))
+.PRECIOUS: $(patsubst %.c,$(MODDIRO)/%.d,$(CSRCS))
+.PRECIOUS: $(patsubst %.F,$(MODDIRO)/%.d,$(patsubst %.f,$(MODDIRO)/%.d,$(FSRCS)))
+
+check-PHOTOS: $(photosCHV)
+
+# IRST coding rule check
+$(photosCHV:.viol=.i): $(MODDIRC)/%.i: $(MODDIR)/%.cxx $(MODDIRO)/%.d
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ $(MUTE)$(CXX) -E $(photosDEFINE) $(photosINC) -I. $< > $@ $(photosCXXFLAGS)
+ @cd $(dir $@) ; $(IRST_INSTALLDIR)/patch/patch4alice.prl $(notdir $@)
+
+# IRST coding rule check
+$(photosCHV): $(MODDIRC)/%.viol: $(MODDIRC)/%.i
+ $(MUTE)echo $@ ; $(CODE_CHECK) $< $(shell echo $(dir $<) | sed -e 's:/check::') > $@
+
+.SECONDARY: $(photosCHV:.viol=.i) $(photosCHI:.viol=.ii)
+
+PACKREVENG += $(photosCHV:.viol=.ii)
+
+# IRST code smell checker
+
+smell-PHOTOS: $(photosSML)
+
+$(photosSML:.smell=_cxx.ml) : $(MODDIRZ)/%_cxx.ml : $(MODDIR)/%.cxx
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ $(MUTE)src2srcml $< $@
+
+$(photosSML:.smell=_h.ml) : $(MODDIRZ)/%_h.ml : $(MODDIR)/%.h
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ $(MUTE)src2srcml $< $@
+
+$(photosSML) : $(MODDIRZ)/%.smell : $(MODDIRZ)/%_cxx.ml $(MODDIRZ)/%_h.ml
+ $(MUTE)echo smelling $@
+ $(MUTE)java -classpath $(SMELL_DETECTOR_DIR):$(SMELL_DETECTOR_DIR)/xom-1.1.jar -Xmx500m SmellDetector $^ > $@
+ $(MUTE)[ -s $@ ] || touch $@
+
+.SECONDARY: $(photosSML:.smell=_cxx.ml) $(photosSML:.smell=_h.ml)
+
+# targets to create .par archives (jgrosseo)
+photos.par: $(patsubst %,PHOTOS/photos/%,$(filter-out dict.%, $(HDRS) $(SRCS) $(DHDR) $(PKGFILE) $(FSRCS) Makefile Makefile.arch libphotos.pkg PROOF-INF))
+ @echo "Creating archive" $@ ...
+ @cd PHOTOS; (tar cfzh ../$@ photos 2> /dev/null && echo "package" $@ "created in" $(PWD)/$@) || (tar cfzh /tmp/$@ photos 2> /dev/null && echo "package" $@ "created in /tmp/"$@)
+ @rm -rf PHOTOS/photos
+
+PHOTOS/photos/Makefile: PHOTOS/Makefile
+ @echo Copying $< to $@ with transformations
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ @sed 's/include \$$(ROOTSYS)\/test\/Makefile.arch/include Makefile.arch/; s/PACKAGE = .*/PACKAGE = photos/' < $^ > $@
+
+PHOTOS/photos/Makefile.arch: $(ROOTSYS)/test/Makefile.arch
+ @echo Copying $< to $@
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ @cp -pR $^ $@
+
+PHOTOS/photos/PROOF-INF: PHOTOS/PROOF-INF.photos
+ @echo Copying $< to $@
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ @cp -pR $^ $@
+
+PHOTOS/photos/%: PHOTOS/%
+ @echo Copying $< to $@
+ @[ -d $(dir $@) ] || mkdir -p $(dir $@)
+ @cp -pR $< $@
+
+test-photos.par: photos.par
+ @echo "INFO: The file $< is now tested, in case of an error check in par-tmp/photos."
+ @mkdir -p par-tmp
+ @cd par-tmp; tar xfz ../$<; cd $(subst .par,,$<); PROOF-INF/BUILD.sh
+ @rm -rf par-tmp/photos
+ @echo "INFO: Testing succeeded (already cleaned up)"
+#-*- Mode: Makefile -*-
+
+
+reveng-PHOTOS: PHOTOS/check/classDiagram.dot
+
+PHOTOS/check/classDiagram.dot: $(PACKREVENG)
+ @$(REV_ENG) $^
+ @-mv classDiagram.dot $@
+
+revdisp-PHOTOS: reveng-PHOTOS
+ @echo revdisp for PHOTOS
+ @cd PHOTOS/check ; \
+ $(IRST_INSTALLDIR)/webreveng/create-class-diagram-pages.sh
+ @sed -e "s/STEER/PHOTOS/g" < $(IRST_INSTALLDIR)/webreveng/WWW/STEER/HomePage.html > PHOTOS/check/HomePage.html
+
+PACKREVENG =
+
+# Clean option for the whole module
+clean-PHOTOS:
+ifndef ALIQUIET
+ @echo "***** Cleaning PHOTOS *****"
+endif
+ $(MUTE)rm PHOTOS/module.mk
+ $(MUTE)rm -rf PHOTOS/tgt_$(ALICE_TARGET)
+ $(MUTE)rm -f $(PHOTOSLIBS)
+ $(MUTE)rm -f $(PHOTOSBINS)
+
+clean-check-PHOTOS:
+ifndef ALIQUIET
+ @echo "***** Cleaning code check for PHOTOS *****"
+endif
+ $(MUTE)rm -f `find PHOTOS/check -name '*.i'` `find PHOTOS/check -name '*.ii'` `find PHOTOS/check -name '*.viol'`
+
+clean-smell-PHOTOS:
+ifndef ALIQUIET
+ @echo "***** Cleaning code smell for PHOTOS *****"
+endif
+ $(MUTE)rm -f `find PHOTOS/check -name '*.ml'` `find PHOTOS/check -name '*.smell'`
+
+clean-reveng-PHOTOS:
+ifndef ALIQUIET
+ @echo "***** Cleaning reverse engineering files for PHOTOS *****"
+endif
+ $(MUTE)rm -f `find PHOTOS/check -name '*.dot'`
+
--- /dev/null
+
+
+
+ SUBROUTINE PHCORK(MODCOR)
+ implicit none
+C.----------------------------------------------------------------------
+C.
+C. PHCORK: corrects kinmatics of subbranch needed if host program
+C. produces events with the shaky momentum conservation
+C
+C. Input Parameters: Common /PHOEVT/, MODCOR
+C. MODCOR >0 type of action
+C. =1 no action
+C. =2 corrects energy from mass
+C. =3 corrects mass from energy
+C. =4 corrects energy from mass for
+C. particles up to .4 GeV mass,
+C. for heavier ones corrects mass,
+C. =0 execution mode
+C.
+C. Output Parameters: corrected /PHOEVT/
+C.
+C. Author(s): P.Golonka, Z. Was Created at: 01/02/99
+C. Modified : 08/02/99
+C.----------------------------------------------------------------------
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+
+ REAL*8 M,P2,PX,PY,PZ,E,EN,MCUT
+ INTEGER MODCOR,MODOP,I,IEV,IPRINT
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+
+ INTEGER PHLUN
+ COMMON/PHOLUN/PHLUN
+
+ COMMON /PHNUM/ IEV
+ SAVE MODOP
+ DATA MODOP /0/
+ SAVE IPRINT
+ DATA IPRINT /0/
+ SAVE MCUT
+ IF (MODCOR.NE.0) THEN
+C INITIALIZATION
+ MODOP=MODCOR
+
+ WRITE(PHLUN,*) 'Message from PHCORK(MODCOR):: initialization'
+ IF (MODOP.EQ.1) THEN
+ WRITE(PHLUN,*) 'MODOP=1 -- no corrections on event: DEFAULT'
+ ELSEIF (MODOP.EQ.2) THEN
+ WRITE(PHLUN,*) 'MODOP=2 -- corrects Energy from mass'
+ ELSEIF (MODOP.EQ.3) THEN
+ WRITE(PHLUN,*) 'MODOP=3 -- corrects mass from Energy'
+ ELSEIF (MODOP.EQ.4) THEN
+ WRITE(PHLUN,*) 'MODOP=4 -- corrects Energy from mass to Mcut'
+ WRITE(PHLUN,*) ' and mass from energy above Mcut '
+ MCUT=0.4
+ WRITE(PHLUN,*) 'Mcut=',MCUT,'GeV'
+ ELSE
+ WRITE(PHLUN,*) 'PHCORK wrong MODCOR=',MODCOR
+ STOP
+ ENDIF
+ RETURN
+ ENDIF
+
+ IF (MODOP.EQ.0.AND.MODCOR.EQ.0) THEN
+ WRITE(PHLUN,*) 'PHCORK lack of initialization'
+ STOP
+ ENDIF
+
+C execution mode
+C ==============
+C ==============
+
+
+ PX=0
+ PY=0
+ PZ=0
+ E =0
+
+ IF (MODOP.EQ.1) THEN
+C -----------------------
+C In this case we do nothing
+ RETURN
+ ELSEIF(MODOP.EQ.2) THEN
+C -----------------------
+CC lets loop thru all daughters and correct their energies
+CC according to E^2=p^2+m^2
+
+ DO I=3,NPHO
+
+ PX=PX+PPHO(1,I)
+ PY=PY+PPHO(2,I)
+ PZ=PZ+PPHO(3,I)
+
+ P2=PPHO(1,I)**2+PPHO(2,I)**2+PPHO(3,I)**2
+
+ EN=SQRT( PPHO(5,I)**2 + P2)
+
+ IF (IPRINT.EQ.1)
+ & WRITE(PHLUN,*) 'CORRECTING ENERGY OF ',I,':',
+ & PPHO(4,I),'=>',EN
+
+ PPHO(4,I)=EN
+ E = E+PPHO(4,I)
+
+ ENDDO
+
+ ELSEIF(MODOP.EQ.3) THEN
+C -----------------------
+
+CC lets loop thru all daughters and correct their masses
+CC according to E^2=p^2+m^2
+
+ DO I=3,NPHO
+
+ PX=PX+PPHO(1,I)
+ PY=PY+PPHO(2,I)
+ PZ=PZ+PPHO(3,I)
+ E = E+PPHO(4,I)
+
+ P2=PPHO(1,I)**2+PPHO(2,I)**2+PPHO(3,I)**2
+
+ M=SQRT(ABS( PPHO(4,I)**2 - P2))
+
+ IF (IPRINT.EQ.1)
+ & WRITE(PHLUN,*) 'CORRECTING MASS OF ',I,':',
+ & PPHO(5,I),'=>',M
+
+ PPHO(5,I)=M
+
+ ENDDO
+
+
+ ELSEIF(MODOP.EQ.4) THEN
+C -----------------------
+
+CC lets loop thru all daughters and correct their masses
+CC or energies according to E^2=p^2+m^2
+
+ DO I=3,NPHO
+
+ PX=PX+PPHO(1,I)
+ PY=PY+PPHO(2,I)
+ PZ=PZ+PPHO(3,I)
+
+ P2=PPHO(1,I)**2+PPHO(2,I)**2+PPHO(3,I)**2
+
+ M=SQRT(ABS( PPHO(4,I)**2 - P2))
+
+ IF (M.GT.MCUT) THEN
+ IF (IPRINT.EQ.1)
+ & WRITE(PHLUN,*) 'CORRECTING MASS OF ',I,':',
+ & PPHO(5,I),'=>',M
+ PPHO(5,I)=M
+ E = E+PPHO(4,I)
+ ELSE
+
+ EN=SQRT( PPHO(5,I)**2 + P2)
+
+ IF (IPRINT.EQ.1)
+ & WRITE(PHLUN,*) 'CORRECTING ENERGY OF ',I,':',
+ & PPHO(4,I),'=>',EN
+
+ PPHO(4,I)=EN
+ E = E+PPHO(4,I)
+ ENDIF
+
+ ENDDO
+ ENDIF
+C -----
+
+ IF (IPRINT.EQ.1) THEN
+ WRITE(PHLUN,*) 'CORRECTING MOTHER'
+ WRITE(PHLUN,*) 'PX:',PPHO(1,1),'=>',PX-PPHO(1,2)
+ WRITE(PHLUN,*) 'PY:',PPHO(2,1),'=>',PY-PPHO(2,2)
+ WRITE(PHLUN,*) 'PZ:',PPHO(3,1),'=>',PZ-PPHO(3,2)
+ WRITE(PHLUN,*) ' E:',PPHO(4,1),'=>',E-PPHO(4,2)
+ ENDIF
+
+ PPHO(1,1)=PX-PPHO(1,2)
+ PPHO(2,1)=PY-PPHO(2,2)
+ PPHO(3,1)=PZ-PPHO(3,2)
+ PPHO(4,1)=E -PPHO(4,2)
+
+ P2=PPHO(1,1)**2+PPHO(2,1)**2+PPHO(3,1)**2
+
+ IF (PPHO(4,1)**2.GT.P2) THEN
+ M=SQRT( PPHO(4,1)**2 - P2 )
+ IF (IPRINT.EQ.1)
+ & WRITE(PHLUN,*) ' M:',PPHO(5,1),'=>',M
+ PPHO(5,1)=M
+ ENDIF
+
+ CALL PHLUPA(25)
+
+ END
--- /dev/null
+
+ FUNCTION PHINT(IDUM)
+C.----------------------------------------------------------------------
+C.
+C. PHINT: PHotos INTerference
+C.
+C. Purpose: Calculates interference between emission of photons from
+C. different possible chaged daughters stored in
+C. the HEP common /PHOEVT/.
+C.
+C. Input Parameter: commons /PHOEVT/ /PHOMOM/ /PHOPHS/
+C.
+C.
+C. Output Parameters:
+C.
+C.
+C. Author(s): Z. Was, Created at: 10/08/93
+C. Last Update:
+C.
+C.----------------------------------------------------------------------
+
+ IMPLICIT NONE
+ REAL*8 PHINT,phint1
+ REAL*8 PHOCHA
+ INTEGER IDUM
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ DOUBLE PRECISION MCHSQR,MNESQR
+ REAL*8 PNEUTR
+ COMMON/PHOMOM/MCHSQR,MNESQR,PNEUTR(5)
+ DOUBLE PRECISION COSTHG,SINTHG
+ REAL*8 XPHMAX,XPHOTO
+ COMMON/PHOPHS/XPHMAX,XPHOTO,COSTHG,SINTHG
+ REAL*8 MPASQR,XX,BETA,PQ1(4),PQ2(4),PPHOT(4)
+ REAL*8 SS,PP2,PP,E1,E2,Q1,Q2,COSTHE
+ LOGICAL IFINT
+ INTEGER K,IDENT
+C
+ DO K=JDAPHO(2,1),JDAPHO(1,1),-1
+ IF(IDPHO(K).NE.22) THEN
+ IDENT=K
+ GOTO 20
+ ENDIF
+ ENDDO
+ 20 CONTINUE
+C check if there is a photon
+ IFINT= NPHO.GT.IDENT
+C check if it is two body + gammas reaction
+ IFINT= IFINT.AND.(IDENT-JDAPHO(1,1)).EQ.1
+C check if two body was particle antiparticle (we improve on it !
+C IFINT= IFINT.AND.IDPHO(JDAPHO(1,1)).EQ.-IDPHO(IDENT)
+C check if particles were charged
+ IFINT= IFINT.AND.abs(PHOCHA(IDPHO(IDENT))).GT.0.01D0
+C check if they have both charge
+ IFINT= IFINT.AND.
+ $ abs(PHOCHA(IDPHO(JDAPHO(1,1)))).gt.0.01D0
+C calculates interference weight contribution
+ IF(IFINT) THEN
+ MPASQR = PPHO(5,1)**2
+ XX=4.D0*MCHSQR/MPASQR*(1.-XPHOTO)/(1.-XPHOTO+(MCHSQR-MNESQR)/
+ & MPASQR)**2
+ BETA=SQRT(1.D0-XX)
+ PHINT = 2D0/(1D0+COSTHG**2*BETA**2)
+ SS =MPASQR*(1.D0-XPHOTO)
+ PP2=((SS-MCHSQR-MNESQR)**2-4*MCHSQR*MNESQR)/SS/4
+ PP =SQRT(PP2)
+ E1 =SQRT(PP2+MCHSQR)
+ E2 =SQRT(PP2+MNESQR)
+ PHINT= (E1+E2)**2/((E2+COSTHG*PP)**2+(E1-COSTHG*PP)**2)
+C
+ q1=PHOCHA(IDPHO(JDAPHO(1,1)))
+ q2=PHOCHA(IDPHO(IDENT))
+ do k=1,4
+ pq1(k)=ppho(k,JDAPHO(1,1))
+ pq2(k)=ppho(k,JDAPHO(1,1)+1)
+ pphot(k)=ppho(k,npho)
+ enddo
+ costhe=(pphot(1)*pq1(1)+pphot(2)*pq1(2)+pphot(3)*pq1(3))
+ costhe=costhe/sqrt(pq1(1)**2+pq1(2)**2+pq1(3)**2)
+ costhe=costhe/sqrt(pphot(1)**2+pphot(2)**2+pphot(3)**2)
+C
+! --- this IF checks whether JDAPHO(1,1) was MCH or MNE.
+! --- COSTHG angle (and in-generation variables) may be better choice
+! --- than costhe. note that in the formulae below amplitudes were
+! --- multiplied by (E2+COSTHG*PP)*(E1-COSTHG*PP).
+ IF (costhg*costhe.GT.0) then
+
+ PHINT= (q1*(E2+COSTHG*PP)-q2*(E1-COSTHG*PP))**2
+ & /(q1**2*(E2+COSTHG*PP)**2+q2**2*(E1-COSTHG*PP)**2)
+ ELSE
+
+ PHINT= (q1*(E1-COSTHG*PP)-q2*(E2+COSTHG*PP))**2
+ & /(q1**2*(E1-COSTHG*PP)**2+q2**2*(E2+COSTHG*PP)**2)
+ ENDIF
+ ELSE
+ PHINT = 1D0
+ ENDIF
+ phint1=1
+ END
--- /dev/null
+ FUNCTION PHINT1(IDUM)
+C.----------------------------------------------------------------------
+C.
+C. PHINT: PHotos INTerference (Old version kept for tests only.
+C.
+C. Purpose: Calculates interference between emission of photons from
+C. different possible chaged daughters stored in
+C. the HEP common /PHOEVT/.
+C.
+C. Input Parameter: commons /PHOEVT/ /PHOMOM/ /PHOPHS/
+C.
+C.
+C. Output Parameters:
+C.
+C.
+C. Author(s): Z. Was, Created at: 10/08/93
+C. Last Update: 15/03/99
+C.
+C.----------------------------------------------------------------------
+
+ IMPLICIT NONE
+ REAL*8 PHINT,phint1
+ REAL*8 PHOCHA
+ INTEGER IDUM
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ DOUBLE PRECISION MCHSQR,MNESQR
+ REAL*8 PNEUTR
+ COMMON/PHOMOM/MCHSQR,MNESQR,PNEUTR(5)
+ DOUBLE PRECISION COSTHG,SINTHG
+ REAL*8 XPHMAX,XPHOTO
+ COMMON/PHOPHS/XPHMAX,XPHOTO,COSTHG,SINTHG
+ REAL*8 MPASQR,XX,BETA
+ LOGICAL IFINT
+ INTEGER K,IDENT
+C
+ DO K=JDAPHO(2,1),JDAPHO(1,1),-1
+ IF(IDPHO(K).NE.22) THEN
+ IDENT=K
+ GOTO 20
+ ENDIF
+ ENDDO
+ 20 CONTINUE
+C check if there is a photon
+ IFINT= NPHO.GT.IDENT
+C check if it is two body + gammas reaction
+ IFINT= IFINT.AND.(IDENT-JDAPHO(1,1)).EQ.1
+C check if two body was particle antiparticle
+ IFINT= IFINT.AND.IDPHO(JDAPHO(1,1)).EQ.-IDPHO(IDENT)
+C check if particles were charged
+ IFINT= IFINT.AND.PHOCHA(IDPHO(IDENT)).NE.0
+C calculates interference weight contribution
+ IF(IFINT) THEN
+ MPASQR = PPHO(5,1)**2
+ XX=4.D0*MCHSQR/MPASQR*(1.D0-XPHOTO)/(1.D0-XPHOTO+(MCHSQR-MNESQR)
+ & /MPASQR)**2
+ BETA=SQRT(1.D0-XX)
+ PHINT = 2D0/(1D0+COSTHG**2*BETA**2)
+ ELSE
+ PHINT = 1D0
+ ENDIF
+ phint1=1
+ END
--- /dev/null
+ SUBROUTINE PHLUPA(IPOINT)
+C.----------------------------------------------------------------------
+C.
+C. PHLUPA: debugging tool
+C.
+C. Purpose: NONE, eventually may printout content of the
+C. /PHOEVT/ common
+C.
+C. Input Parameters: Common /PHOEVT/ and /PHNUM/
+C. latter may have number of the event.
+C.
+C. Output Parameters: None
+C.
+C. Author(s): Z. Was Created at: 30/05/93
+C. Last Update: 10/08/93
+C.
+C.----------------------------------------------------------------------
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ COMMON /PHNUM/ IEV
+ INTEGER PHLUN
+ COMMON/PHOLUN/PHLUN
+ DIMENSION SUM(5)
+ IF (IPOINT.LT.3000) RETURN
+ IOUT=56
+ IF (IEV.LT.1000) THEN
+ DO I=1,5
+ SUM(I)=0.0D0
+ ENDDO
+ WRITE(PHLUN,*) 'EVENT NR=',IEV,
+ $ 'WE ARE TESTING /PHOEVT/ at IPOINT=',IPOINT
+ WRITE(PHLUN,10)
+ I=1
+ WRITE(PHLUN,20) IDPHO(I),PPHO(1,I),PPHO(2,I),PPHO(3,I),
+ $ PPHO(4,I),PPHO(5,I),JDAPHO(1,I),JDAPHO(2,I)
+ I=2
+ WRITE(PHLUN,20) IDPHO(I),PPHO(1,I),PPHO(2,I),PPHO(3,I),
+ $ PPHO(4,I),PPHO(5,I),JDAPHO(1,I),JDAPHO(2,I)
+ WRITE(PHLUN,*) ' '
+ DO I=3,NPHO
+ WRITE(PHLUN,20) IDPHO(I),PPHO(1,I),PPHO(2,I),PPHO(3,I),
+ $ PPHO(4,I),PPHO(5,I),JMOPHO(1,I),JMOPHO(2,I)
+ DO J=1,4
+ SUM(J)=SUM(J)+PPHO(J,I)
+ ENDDO
+ ENDDO
+ SUM(5)=SQRT(ABS(SUM(4)**2-SUM(1)**2-SUM(2)**2-SUM(3)**2))
+ WRITE(PHLUN,30) SUM
+ 10 FORMAT(1X,' ID ','p_x ','p_y ','p_z ',
+ $ 'E ','m ',
+ $ 'ID-MO_DA1','ID-MO DA2' )
+ 20 FORMAT(1X,I4,5(F9.3),2I9)
+ 30 FORMAT(1X,' SUM',5(F9.3))
+ ENDIF
+ END
--- /dev/null
+ FUNCTION PHOAN1(X,Y)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays calculation of ANgle '1'
+C.
+C. Purpose: Calculate angle from X and Y
+C.
+C. Input Parameters: X, Y
+C.
+C. Output Parameter: Function value
+C.
+C. Author(s): S. Jadach Created at: 01/01/89
+C. B. van Eijk Last Update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION PHOAN1
+ REAL*8 X,Y
+ REAL*8 PI,TWOPI
+ COMMON/PHPICO/PI,TWOPI
+ IF (ABS(Y).LT.ABS(X)) THEN
+ PHOAN1=ATAN(ABS(Y/X))
+ IF (X.LE.0.D0) PHOAN1=PI-PHOAN1
+ ELSE
+ PHOAN1=ACOS(X/SQRT(X**2+Y**2))
+ ENDIF
+ IF (Y.LT.0.D0) PHOAN1=TWOPI-PHOAN1
+ RETURN
+ END
--- /dev/null
+ FUNCTION PHOAN2(X,Y)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays calculation of ANgle '2'
+C.
+C. Purpose: Calculate angle from X and Y
+C.
+C. Input Parameters: X, Y
+C.
+C. Output Parameter: Function value
+C.
+C. Author(s): S. Jadach Created at: 01/01/89
+C. B. van Eijk Last Update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION PHOAN2
+ REAL*8 X,Y
+ REAL*8 PI,TWOPI
+ COMMON/PHPICO/PI,TWOPI
+ IF (ABS(Y).LT.ABS(X)) THEN
+ PHOAN2=ATAN(ABS(Y/X))
+ IF (X.LE.0.D0) PHOAN2=PI-PHOAN2
+ ELSE
+ PHOAN2=ACOS(X/SQRT(X**2+Y**2))
+ ENDIF
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOBO3(ANGLE,PVEC)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays BOost routine '3'
+C.
+C. Purpose: Boost vector PVEC along z-axis where ANGLE = EXP(ETA),
+C. ETA is the hyperbolic velocity.
+C.
+C. Input Parameters: ANGLE, PVEC
+C.
+C. Output Parameter: PVEC
+C.
+C. Author(s): S. Jadach Created at: 01/01/89
+C. B. van Eijk Last Update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION QPL,QMI,ANGLE
+ REAL*8 PVEC(4)
+ QPL=(PVEC(4)+PVEC(3))*ANGLE
+ QMI=(PVEC(4)-PVEC(3))/ANGLE
+ PVEC(3)=(QPL-QMI)/2.D0
+ PVEC(4)=(QPL+QMI)/2.D0
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOBOS(IP,PBOOS1,PBOOS2,FIRST,LAST)
+C.----------------------------------------------------------------------
+C.
+C. PHOBOS: PHOton radiation in decays BOoSt routine
+C.
+C. Purpose: Boost particles in cascade decay to parent rest frame
+C. and boost back with modified boost vector.
+C.
+C. Input Parameters: IP: pointer of particle starting chain
+C. to be boosted
+C. PBOOS1: Boost vector to rest frame,
+C. PBOOS2: Boost vector to modified frame,
+C. FIRST: Pointer to first particle to be boos-
+C. ted (/PH_HEPEVT/),
+C. LAST: Pointer to last particle to be boos-
+C. ted (/PH_HEPEVT/).
+C.
+C. Output Parameters: Common /PH_HEPEVT/.
+C.
+C. Author(s): B. van Eijk Created at: 13/02/90
+C. Z. Was Last Update: 16/11/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION BET1(3),BET2(3),GAM1,GAM2,PB,DATA
+ INTEGER I,J,FIRST,LAST,MAXSTA,NSTACK,IP
+ PARAMETER (MAXSTA=10000)
+ INTEGER STACK(MAXSTA)
+ REAL*8 PBOOS1(5),PBOOS2(5)
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ IF ((LAST.EQ.0).OR.(LAST.LT.FIRST)) RETURN
+ NSTACK=0
+ DO 10 J=1,3
+ BET1(J)=-PBOOS1(J)/PBOOS1(5)
+ 10 BET2(J)=PBOOS2(J)/PBOOS2(5)
+ GAM1=PBOOS1(4)/PBOOS1(5)
+ GAM2=PBOOS2(4)/PBOOS2(5)
+C--
+C-- Boost vector to parent rest frame...
+ 20 DO 50 I=FIRST,LAST
+ PB=BET1(1)*PHEP(1,I)+BET1(2)*PHEP(2,I)+BET1(3)*PHEP(3,I)
+ IF (JMOHEP(1,I).EQ.IP) THEN
+ DO 30 J=1,3
+ 30 PHEP(J,I)=PHEP(J,I)+BET1(J)*(PHEP(4,I)+PB/(GAM1+1.D0))
+ PHEP(4,I)=GAM1*PHEP(4,I)+PB
+C--
+C-- ...and boost back to modified parent frame.
+ PB=BET2(1)*PHEP(1,I)+BET2(2)*PHEP(2,I)+BET2(3)*PHEP(3,I)
+ DO 40 J=1,3
+ 40 PHEP(J,I)=PHEP(J,I)+BET2(J)*(PHEP(4,I)+PB/(GAM2+1.D0))
+ PHEP(4,I)=GAM2*PHEP(4,I)+PB
+ IF (JDAHEP(1,I).NE.0) THEN
+ NSTACK=NSTACK+1
+C--
+C-- Check on stack length...
+ IF (NSTACK.GT.MAXSTA) THEN
+ DATA=NSTACK
+ CALL PHOERR(7,'PHOBOS',DATA)
+ ENDIF
+ STACK(NSTACK)=I
+ ENDIF
+ ENDIF
+ 50 CONTINUE
+ IF (NSTACK.NE.0) THEN
+C--
+C-- Now go one step further in the decay tree...
+ FIRST=JDAHEP(1,STACK(NSTACK))
+ LAST=JDAHEP(2,STACK(NSTACK))
+ IP=STACK(NSTACK)
+ NSTACK=NSTACK-1
+ GOTO 20
+ ENDIF
+ RETURN
+ END
--- /dev/null
+ FUNCTION PHOCHA(IDHEP)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays CHArge determination
+C.
+C. Purpose: Calculate the charge of particle with code IDHEP. The
+C. code of the particle is defined by the Particle Data
+C. Group in Phys. Lett. B204 (1988) 1.
+C.
+C. Input Parameter: IDHEP
+C.
+C. Output Parameter: Funtion value = charge of particle with code
+C. IDHEP
+C.
+C. Author(s): E. Barberio and B. van Eijk Created at: 29/11/89
+C. Last update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ REAL*8 PHOCHA
+ INTEGER IDHEP,IDABS,Q1,Q2,Q3
+C--
+C-- Array 'CHARGE' contains the charge of the first 101 particles ac-
+C-- cording to the PDG particle code... (0 is added for convenience)
+ REAL*8 CHARGE(0:100)
+ DATA CHARGE/ 0.D0,
+ &-0.3333333333D0, 0.6666666667D0, -0.3333333333D0, 0.6666666667D0,
+ &-0.3333333333D0, 0.6666666667D0, -0.3333333333D0, 0.6666666667D0,
+ & 2*0.D0, -1.D0, 0.D0, -1.D0, 0.D0, -1.D0, 0.D0, -1.D0, 6*0.D0,
+ & 1.D0, 12*0.D0, 1.D0, 63*0.D0/
+ IDABS=ABS(IDHEP)
+ IF (IDABS.LE.100) THEN
+C--
+C-- Charge of quark, lepton, boson etc....
+ PHOCHA = CHARGE(IDABS)
+ ELSE
+C--
+C-- Check on particle build out of quarks, unpack its code...
+ Q3=MOD(IDABS/1000,10)
+ Q2=MOD(IDABS/100,10)
+ Q1=MOD(IDABS/10,10)
+ IF (Q3.EQ.0) THEN
+C--
+C-- ...meson...
+ IF(MOD(Q2,2).EQ.0) THEN
+ PHOCHA=CHARGE(Q2)-CHARGE(Q1)
+ ELSE
+ PHOCHA=CHARGE(Q1)-CHARGE(Q2)
+ ENDIF
+ ELSE
+C--
+C-- ...diquarks or baryon.
+ PHOCHA=CHARGE(Q1)+CHARGE(Q2)+CHARGE(Q3)
+ ENDIF
+ ENDIF
+C--
+C-- Find the sign of the charge...
+ IF (IDHEP.LT.0.D0) PHOCHA=-PHOCHA
+ IF (PHOCHA**2.lt.1d-6) PHOCHA=0.D0
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOCHK(JFIRST)
+C.----------------------------------------------------------------------
+C.
+C. PHOCHK: checking branch.
+C.
+C. Purpose: checks whether particles in the common block /PHOEVT/
+C. can be served by PHOMAK.
+C. JFIRST is the position in /PH_HEPEVT/ (!) of the first
+C. daughter of sub-branch under action.
+C.
+C.
+C. Author(s): Z. Was Created at: 22/10/92
+C. Last Update: 16/10/93
+C.
+C.----------------------------------------------------------------------
+C ********************
+ IMPLICIT NONE
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ LOGICAL CHKIF
+ COMMON/PHOIF/CHKIF(NMXPHO)
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ LOGICAL QEDRAD
+ COMMON/PHOQED/QEDRAD(NMXHEP)
+ INTEGER JFIRST
+ LOGICAL F
+ INTEGER IDABS,NLAST,I,IPPAR
+ LOGICAL INTERF,ISEC,IFTOP
+ REAL*8 FINT,FSEC
+ COMMON /PHOKEY/ FSEC,FINT,INTERF,ISEC,IFTOP
+ LOGICAL IFRAD
+ INTEGER IDENT,K
+C these are OK .... if you do not like somebody else, add here.
+ F(IDABS)=
+ & ( ((IDABS.GT.9).AND.(IDABS.LE.40)) .OR. (IDABS.GT.100) )
+ & .AND.(IDABS.NE.21)
+ $ .AND.(IDABS.NE.2101).AND.(IDABS.NE.3101).AND.(IDABS.NE.3201)
+ & .AND.(IDABS.NE.1103).AND.(IDABS.NE.2103).AND.(IDABS.NE.2203)
+ & .AND.(IDABS.NE.3103).AND.(IDABS.NE.3203).AND.(IDABS.NE.3303)
+C
+ NLAST = NPHO
+C
+ IPPAR=1
+C checking for good particles
+ DO 10 I=IPPAR,NLAST
+ IDABS = ABS(IDPHO(I))
+C possibly call on PHZODE is a dead (to be omitted) code.
+ CHKIF(I)= F(IDABS) .AND.F(ABS(IDPHO(1)))
+ & .AND. (IDPHO(2).EQ.0)
+ IF(I.GT.2) CHKIF(I)=CHKIF(I).AND.QEDRAD(JFIRST+I-IPPAR-2)
+ 10 CONTINUE
+C--
+C now we go to special cases, where CHKIF(I) will be overwritten
+C--
+ IF(IFTOP) THEN
+C special case of top pair production
+ DO K=JDAPHO(2,1),JDAPHO(1,1),-1
+ IF(IDPHO(K).NE.22) THEN
+ IDENT=K
+ GOTO 15
+ ENDIF
+ ENDDO
+ 15 CONTINUE
+ IFRAD=((IDPHO(1).EQ.21).AND.(IDPHO(2).EQ.21))
+ & .OR. ((ABS(IDPHO(1)).LE.6).AND.((IDPHO(2)).EQ.(-IDPHO(1))))
+ IFRAD=IFRAD
+ & .AND.(ABS(IDPHO(3)).EQ.6).AND.((IDPHO(4)).EQ.(-IDPHO(3)))
+ & .AND.(IDENT.EQ.4)
+ IF(IFRAD) THEN
+ DO 20 I=IPPAR,NLAST
+ CHKIF(I)= .TRUE.
+ IF(I.GT.2) CHKIF(I)=CHKIF(I).AND.QEDRAD(JFIRST+I-IPPAR-2)
+ 20 CONTINUE
+ ENDIF
+ ENDIF
+C--
+C--
+ IF(IFTOP) THEN
+C special case of top decay
+ DO K=JDAPHO(2,1),JDAPHO(1,1),-1
+ IF(IDPHO(K).NE.22) THEN
+ IDENT=K
+ GOTO 25
+ ENDIF
+ ENDDO
+ 25 CONTINUE
+ IFRAD=((ABS(IDPHO(1)).EQ.6).AND.(IDPHO(2).EQ.0))
+ IFRAD=IFRAD
+ & .AND.((ABS(IDPHO(3)).EQ.24).AND.(ABS(IDPHO(4)).EQ.5)
+ & .OR.(ABS(IDPHO(3)).EQ.5).AND.(ABS(IDPHO(4)).EQ.24))
+ & .AND.(IDENT.EQ.4)
+ IF(IFRAD) THEN
+ DO 30 I=IPPAR,NLAST
+ CHKIF(I)= .TRUE.
+ IF(I.GT.2) CHKIF(I)=CHKIF(I).AND.QEDRAD(JFIRST+I-IPPAR-2)
+ 30 CONTINUE
+ ENDIF
+ ENDIF
+C--
+C--
+ END
--- /dev/null
+ SUBROUTINE PHOCIN
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton Common INitialisation
+C.
+C. Purpose: Initialisation of parameters in common blocks.
+C.
+C. Input Parameters: None
+C.
+C. Output Parameters: Commons /PHOLUN/, /PHOPHO/, /PHOCOP/, /PHPICO/
+C. and /PHSEED/.
+C.
+C. Author(s): B. van Eijk Created at: 26/11/89
+C. Z. Was Last Update: 10/08/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ LOGICAL QEDRAD
+ COMMON/PHOQED/QEDRAD(NMXHEP)
+ INTEGER PHLUN
+ COMMON/PHOLUN/PHLUN
+ REAL*8 ALPHA,XPHCUT
+ COMMON/PHOCOP/ALPHA,XPHCUT
+ REAL*8 PI,TWOPI
+ COMMON/PHPICO/PI,TWOPI
+ INTEGER ISEED,I97,J97
+ REAL*8 URAN,CRAN,CDRAN,CMRAN
+ COMMON/PHSEED/ISEED(2),I97,J97,URAN(97),CRAN,CDRAN,CMRAN
+ INTEGER PHOMES
+ PARAMETER (PHOMES=10)
+ INTEGER STATUS
+ COMMON/PHOSTA/STATUS(PHOMES)
+ LOGICAL INTERF,ISEC,IFTOP
+ REAL*8 FINT,FSEC
+ COMMON /PHOKEY/ FSEC,FINT,INTERF,ISEC,IFTOP
+ INTEGER INIT,I
+ SAVE INIT
+ DATA INIT/ 0/
+C--
+C-- Return if already initialized...
+ IF (INIT.NE.0) RETURN
+ INIT=1
+C--
+C-- Preset switch for photon emission to 'TRUE' for each particle in
+C-- /PH_HEPEVT/, this interface is needed for KORALB and KORALZ...
+ DO 10 I=1,NMXHEP
+ 10 QEDRAD(I)=.TRUE.
+C--
+C-- Logical output unit for printing of PHOTOS error messages
+ PHLUN=6
+C--
+C-- Set cut parameter for photon radiation
+ XPHCUT=0.01D0
+C--
+C-- Define some constants
+ ALPHA=0.00729735039D0
+ PI=3.14159265358979324D0
+ TWOPI=6.28318530717958648D0
+C--
+C-- Default seeds Marsaglia and Zaman random number generator
+ ISEED(1)=1802
+ ISEED(2)=9373
+C--
+C-- Iitialization for extra options
+C-- (1)
+C-- Interference weight for two body symmetric channels only.
+ INTERF=.TRUE.
+C-- (2)
+C-- Second order - double photon switch
+ ISEC=.TRUE.
+C-- (3)
+C-- Emision in the hard process g g (q qbar) --> t tbar
+C-- t --> W b
+ IFTOP=.TRUE.
+C--
+C-- further initialization done automatically
+ IF (INTERF) THEN
+C-- best choice is if FINT=2**N where N+1 is maximal number
+C-- of charged daughters
+C-- see report on overweihted events
+ FINT=2.0D0
+ ELSE
+ FINT=1.0D0
+ ENDIF
+C-- Initialise status counter for warning messages
+ DO 20 I=1,PHOMES
+ 20 STATUS(I)=0
+ RETURN
+ END
--- /dev/null
+ FUNCTION PHOCOR(MPASQR,MCHREN,ME)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays CORrection weight from
+C. matrix elements
+C.
+C. Purpose: Calculate photon angle. The reshaping functions will
+C. have to depend on the spin S of the charged particle.
+C. We define: ME = 2 * S + 1 !
+C.
+C. Input Parameters: MPASQR: Parent mass squared,
+C. MCHREN: Renormalised mass of charged system,
+C. ME: 2 * spin + 1 determines matrix element
+C.
+C. Output Parameter: Function value.
+C.
+C. Author(s): Z. Was, B. van Eijk Created at: 26/11/89
+C. Last Update: 21/03/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION MPASQR,MCHREN,BETA,XX,YY,DATA
+ INTEGER ME
+ REAL*8 PHOCOR,PHOFAC,WT1,WT2,WT3
+ DOUBLE PRECISION MCHSQR,MNESQR
+ REAL*8 PNEUTR
+ COMMON/PHOMOM/MCHSQR,MNESQR,PNEUTR(5)
+ DOUBLE PRECISION COSTHG,SINTHG
+ REAL*8 XPHMAX,XPHOTO
+ COMMON/PHOPHS/XPHMAX,XPHOTO,COSTHG,SINTHG
+ INTEGER IREP
+ REAL*8 PROBH,CORWT,XF
+ COMMON/PHOPRO/PROBH,CORWT,XF,IREP
+C--
+C-- Shaping (modified by ZW)...
+ XX=4.D0*MCHSQR/MPASQR*(1.D0-XPHOTO)/(1.D0-XPHOTO+(MCHSQR-MNESQR)/
+ &MPASQR)**2
+ IF (ME.EQ.1) THEN
+ YY=1.D0
+ WT3=(1.D0-XPHOTO/XPHMAX)/((1.D0+(1.D0-XPHOTO/XPHMAX)**2)/2.D0)
+ ELSEIF (ME.EQ.2) THEN
+ YY=0.5D0*(1.D0-XPHOTO/XPHMAX+1.D0/(1.D0-XPHOTO/XPHMAX))
+ WT3=1.D0
+ ELSEIF ((ME.EQ.3).OR.(ME.EQ.4).OR.(ME.EQ.5)) THEN
+ YY=1.D0
+ WT3=(1.D0+(1.D0-XPHOTO/XPHMAX)**2-(XPHOTO/XPHMAX)**3)/
+ & (1.D0+(1.D0-XPHOTO/XPHMAX)** 2)
+ ELSE
+ DATA=(ME-1.D0)/2.D0
+ CALL PHOERR(6,'PHOCOR',DATA)
+ YY=1.D0
+ WT3=1.D0
+ ENDIF
+ BETA=SQRT(1.D0-XX)
+ WT1=(1.D0-COSTHG*SQRT(1.D0-MCHREN))/(1.D0-COSTHG*BETA)
+ WT2=(1.D0-XX/YY/(1.D0-BETA**2*COSTHG**2))*(1.D0+COSTHG*BETA)/2.D0
+ WT2=WT2*PHOFAC(1)
+ PHOCOR=WT1*WT2*WT3
+ CORWT=PHOCOR
+ IF (PHOCOR.GT.1.D0) THEN
+ DATA=PHOCOR
+ CALL PHOERR(3,'PHOCOR',DATA)
+ ENDIF
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHODO(IP,NCHARB,NEUDAU)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays DOing of KINematics
+C.
+C. Purpose: Starting from the charged particle energy/momentum,
+C. PNEUTR, photon energy fraction and photon angle with
+C. respect to the axis formed by charged particle energy/
+C. momentum vector and PNEUTR, scale the energy/momentum,
+C. keeping the original direction of the neutral system in
+C. the lab. frame untouched.
+C.
+C. Input Parameters: IP: Pointer to decaying particle in
+C. /PHOEVT/ and the common itself
+C. NCHARB: pointer to the charged radiating
+C. daughter in /PHOEVT/.
+C. NEUDAU: pointer to the first neutral daughter
+C. Output Parameters: Common /PHOEVT/, with photon added.
+C.
+C. Author(s): Z. Was, B. van Eijk Created at: 26/11/89
+C. Last Update: 27/05/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION PHOAN1,PHOAN2,ANGLE,FI1,FI3,FI4,FI5,TH1,TH3,TH4
+ DOUBLE PRECISION PARNE,QNEW,QOLD,DATA
+ INTEGER IP,FI3DUM,I,J,NEUDAU,FIRST,LAST
+ INTEGER NCHARB
+ REAL*8 EPHOTO,PMAVIR,PHOTRI
+ REAL*8 GNEUT,PHORAN,CCOSTH,SSINTH,PVEC(4)
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ DOUBLE PRECISION MCHSQR,MNESQR
+ REAL*8 PNEUTR
+ COMMON/PHOMOM/MCHSQR,MNESQR,PNEUTR(5)
+ DOUBLE PRECISION COSTHG,SINTHG
+ REAL*8 XPHMAX,XPHOTO
+ COMMON/PHOPHS/XPHMAX,XPHOTO,COSTHG,SINTHG
+ REAL*8 PI,TWOPI
+ COMMON/PHPICO/PI,TWOPI
+C--
+ EPHOTO=XPHOTO*PPHO(5,IP)/2.D0
+ PMAVIR=SQRT(PPHO(5,IP)*(PPHO(5,IP)-2.D0*EPHOTO))
+C--
+C-- Reconstruct kinematics of charged particle and neutral system
+ FI1=PHOAN1(PNEUTR(1),PNEUTR(2))
+C--
+C-- Choose axis along z of PNEUTR, calculate angle between x and y
+C-- components and z and x-y plane and perform Lorentz transform...
+ TH1=PHOAN2(PNEUTR(3),SQRT(PNEUTR(1)**2+PNEUTR(2)**2))
+ CALL PHORO3(-FI1,PNEUTR(1))
+ CALL PHORO2(-TH1,PNEUTR(1))
+C--
+C-- Take away photon energy from charged particle and PNEUTR ! Thus
+C-- the onshell charged particle decays into virtual charged particle
+C-- and photon. The virtual charged particle mass becomes:
+C-- SQRT(PPHO(5,IP)*(PPHO(5,IP)-2*EPHOTO)). Construct new PNEUTR mo-
+C-- mentum in the rest frame of the parent:
+C-- 1) Scaling parameters...
+ QNEW=PHOTRI(PMAVIR,PNEUTR(5),PPHO(5,NCHARB))
+ QOLD=PNEUTR(3)
+ GNEUT=(QNEW**2+QOLD**2+MNESQR)/(QNEW*QOLD+SQRT((QNEW**2+MNESQR)*
+ &(QOLD**2+MNESQR)))
+ IF (GNEUT.LT.1.D0) THEN
+ DATA=0.D0
+ CALL PHOERR(4,'PHOKIN',DATA)
+ ENDIF
+ PARNE=GNEUT-SQRT(MAX(GNEUT**2-1.0D0,0.D0))
+C--
+C-- 2) ...reductive boost...
+ CALL PHOBO3(PARNE,PNEUTR)
+C--
+C-- ...calculate photon energy in the reduced system...
+ NPHO=NPHO+1
+ ISTPHO(NPHO)=1
+ IDPHO(NPHO) =22
+C-- Photon mother and daughter pointers !
+ JMOPHO(1,NPHO)=IP
+ JMOPHO(2,NPHO)=0
+ JDAPHO(1,NPHO)=0
+ JDAPHO(2,NPHO)=0
+ PPHO(4,NPHO)=EPHOTO*PPHO(5,IP)/PMAVIR
+C--
+C-- ...and photon momenta
+ CCOSTH=-COSTHG
+ SSINTH=SINTHG
+ TH3=PHOAN2(CCOSTH,SSINTH)
+ FI3=TWOPI*PHORAN(FI3DUM)
+ PPHO(1,NPHO)=PPHO(4,NPHO)*SINTHG*COS(FI3)
+ PPHO(2,NPHO)=PPHO(4,NPHO)*SINTHG*SIN(FI3)
+C--
+C-- Minus sign because axis opposite direction of charged particle !
+ PPHO(3,NPHO)=-PPHO(4,NPHO)*COSTHG
+ PPHO(5,NPHO)=0.D0
+C--
+C-- Rotate in order to get photon along z-axis
+ CALL PHORO3(-FI3,PNEUTR(1))
+ CALL PHORO3(-FI3,PPHO(1,NPHO))
+ CALL PHORO2(-TH3,PNEUTR(1))
+ CALL PHORO2(-TH3,PPHO(1,NPHO))
+ ANGLE=EPHOTO/PPHO(4,NPHO)
+C--
+C-- Boost to the rest frame of decaying particle
+ CALL PHOBO3(ANGLE,PNEUTR(1))
+ CALL PHOBO3(ANGLE,PPHO(1,NPHO))
+C--
+C-- Back in the parent rest frame but PNEUTR not yet oriented !
+ FI4=PHOAN1(PNEUTR(1),PNEUTR(2))
+ TH4=PHOAN2(PNEUTR(3),SQRT(PNEUTR(1)**2+PNEUTR(2)**2))
+ CALL PHORO3(FI4,PNEUTR(1))
+ CALL PHORO3(FI4,PPHO(1,NPHO))
+C--
+ DO 60 I=2,4
+ 60 PVEC(I)=0.D0
+ PVEC(1)=1.D0
+ CALL PHORO3(-FI3,PVEC)
+ CALL PHORO2(-TH3,PVEC)
+ CALL PHOBO3(ANGLE,PVEC)
+ CALL PHORO3(FI4,PVEC)
+ CALL PHORO2(-TH4,PNEUTR)
+ CALL PHORO2(-TH4,PPHO(1,NPHO))
+ CALL PHORO2(-TH4,PVEC)
+ FI5=PHOAN1(PVEC(1),PVEC(2))
+C--
+C-- Charged particle restores original direction
+ CALL PHORO3(-FI5,PNEUTR)
+ CALL PHORO3(-FI5,PPHO(1,NPHO))
+ CALL PHORO2(TH1,PNEUTR(1))
+ CALL PHORO2(TH1,PPHO(1,NPHO))
+ CALL PHORO3(FI1,PNEUTR)
+ CALL PHORO3(FI1,PPHO(1,NPHO))
+C-- See whether neutral system has multiplicity larger than 1...
+ IF ((JDAPHO(2,IP)-JDAPHO(1,IP)).GT.1) THEN
+C-- Find pointers to components of 'neutral' system
+C--
+ FIRST=NEUDAU
+ LAST=JDAPHO(2,IP)
+ DO 70 I=FIRST,LAST
+ IF (I.NE.NCHARB.AND.(JMOPHO(1,I).EQ.IP)) THEN
+C--
+C-- Reconstruct kinematics...
+ CALL PHORO3(-FI1,PPHO(1,I))
+ CALL PHORO2(-TH1,PPHO(1,I))
+C--
+C-- ...reductive boost
+ CALL PHOBO3(PARNE,PPHO(1,I))
+C--
+C-- Rotate in order to get photon along z-axis
+ CALL PHORO3(-FI3,PPHO(1,I))
+ CALL PHORO2(-TH3,PPHO(1,I))
+C--
+C-- Boost to the rest frame of decaying particle
+ CALL PHOBO3(ANGLE,PPHO(1,I))
+C--
+C-- Back in the parent rest-frame but PNEUTR not yet oriented.
+ CALL PHORO3(FI4,PPHO(1,I))
+ CALL PHORO2(-TH4,PPHO(1,I))
+C--
+C-- Charged particle restores original direction
+ CALL PHORO3(-FI5,PPHO(1,I))
+ CALL PHORO2(TH1,PPHO(1,I))
+ CALL PHORO3(FI1,PPHO(1,I))
+ ENDIF
+ 70 CONTINUE
+ ELSE
+C--
+C-- ...only one 'neutral' particle in addition to photon!
+ DO 80 J=1,4
+ 80 PPHO(J,NEUDAU)=PNEUTR(J)
+ ENDIF
+C--
+C-- All 'neutrals' treated, fill /PHOEVT/ for charged particle...
+ DO 90 J=1,3
+ 90 PPHO(J,NCHARB)=-(PPHO(J,NPHO)+PNEUTR(J))
+ PPHO(4,NCHARB)=PPHO(5,IP)-(PPHO(4,NPHO)+PNEUTR(4))
+C--
+ END
--- /dev/null
+ SUBROUTINE PHOENE(MPASQR,MCHREN,BETA,IDENT)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays calculation of photon ENErgy
+C. fraction
+C.
+C. Purpose: Subroutine returns photon energy fraction (in (parent
+C. mass)/2 units) for the decay bremsstrahlung.
+C.
+C. Input Parameters: MPASQR: Mass of decaying system squared,
+C. XPHCUT: Minimum energy fraction of photon,
+C. XPHMAX: Maximum energy fraction of photon.
+C.
+C. Output Parameter: MCHREN: Renormalised mass squared,
+C. BETA: Beta factor due to renormalisation,
+C. XPHOTO: Photon energy fraction,
+C. XF: Correction factor for PHOFAC.
+C.
+C. Author(s): S. Jadach, Z. Was Created at: 01/01/89
+C. B. van Eijk Last Update: 26/03/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION MPASQR,MCHREN,BIGLOG,BETA,DATA
+ INTEGER IWT1,IRN,IWT2
+ REAL*8 PRSOFT,PRHARD,PHORAN,PHOFAC
+ DOUBLE PRECISION MCHSQR,MNESQR
+ REAL*8 PNEUTR
+ INTEGER IDENT
+ REAL*8 PHOCHA
+ COMMON/PHOMOM/MCHSQR,MNESQR,PNEUTR(5)
+ DOUBLE PRECISION COSTHG,SINTHG
+ REAL*8 XPHMAX,XPHOTO
+ COMMON/PHOPHS/XPHMAX,XPHOTO,COSTHG,SINTHG
+ REAL*8 ALPHA,XPHCUT
+ COMMON/PHOCOP/ALPHA,XPHCUT
+ REAL*8 PI,TWOPI
+ COMMON/PHPICO/PI,TWOPI
+ INTEGER IREP
+ REAL*8 PROBH,CORWT,XF
+ COMMON/PHOPRO/PROBH,CORWT,XF,IREP
+ LOGICAL INTERF,ISEC,IFTOP
+ REAL*8 FINT,FSEC
+ COMMON /PHOKEY/ FSEC,FINT,INTERF,ISEC,IFTOP
+C--
+ IF (XPHMAX.LE.XPHCUT) THEN
+ XPHOTO=0.0D0
+ RETURN
+ ENDIF
+C-- Probabilities for hard and soft bremstrahlung...
+ MCHREN=4.D0*MCHSQR/MPASQR/(1.D0+MCHSQR/MPASQR)**2
+ BETA=SQRT(1.D0-MCHREN)
+ BIGLOG=LOG(MPASQR/MCHSQR*(1.D0+BETA)**2/4.D0*
+ & (1.D0+MCHSQR/MPASQR)**2)
+ PRHARD=ALPHA/PI/BETA*BIGLOG*(LOG(XPHMAX/XPHCUT)-.75D0+XPHCUT/
+ &XPHMAX-.25D0*XPHCUT**2/XPHMAX**2)
+ PRHARD=PRHARD*PHOCHA(IDENT)**2*FINT*FSEC
+ IF (IREP.EQ.0) PROBH=0.D0
+ PRHARD=PRHARD*PHOFAC(0)
+ PROBH=PRHARD
+ PRSOFT=1.D0-PRHARD
+C--
+C-- Check on kinematical bounds
+ IF (PRSOFT.LT.0.1D0) THEN
+ DATA=PRSOFT
+ CALL PHOERR(2,'PHOENE',DATA)
+ ENDIF
+ IF (PHORAN(IWT1).LT.PRSOFT) THEN
+C--
+C-- No photon... (ie. photon too soft)
+ XPHOTO=0.D0
+ ELSE
+C--
+C-- Hard photon... (ie. photon hard enough).
+C-- Calculate Altarelli-Parisi Kernel
+ 10 XPHOTO=EXP(PHORAN(IRN)*LOG(XPHCUT/XPHMAX))
+ XPHOTO=XPHOTO*XPHMAX
+ IF (PHORAN(IWT2).GT.((1.D0+(1.D0-XPHOTO/XPHMAX)**2)/2.D0))
+ & GOTO 10
+ ENDIF
+C--
+C-- Calculate parameter for PHOFAC function
+ XF=4.D0*MCHSQR*MPASQR/(MPASQR+MCHSQR-MNESQR)**2
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOERR(IMES,TEXT,DATA)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays ERRror handling
+C.
+C. Purpose: Inform user about (fatal) errors and warnings generated
+C. by either the user or the program.
+C.
+C. Input Parameters: IMES, TEXT, DATA
+C.
+C. Output Parameters: None
+C.
+C. Author(s): B. van Eijk Created at: 29/11/89
+C. Last Update: 10/01/92
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION DATA
+ INTEGER IMES,IERROR
+ REAL*8 SDATA
+ INTEGER PHLUN
+ COMMON/PHOLUN/PHLUN
+ INTEGER PHOMES
+ PARAMETER (PHOMES=10)
+ INTEGER STATUS
+ COMMON/PHOSTA/STATUS(PHOMES)
+ CHARACTER TEXT*(*)
+ SAVE IERROR
+C-- security STOP switch
+ LOGICAL ISEC
+ SAVE ISEC
+ DATA ISEC /.TRUE./
+ DATA IERROR/ 0/
+ IF (IMES.LE.PHOMES) STATUS(IMES)=STATUS(IMES)+1
+C--
+C-- Count number of non-fatal errors...
+ IF ((IMES.EQ. 6).AND.(STATUS(IMES).GE.2)) RETURN
+ IF ((IMES.EQ.10).AND.(STATUS(IMES).GE.2)) RETURN
+ SDATA=DATA
+ WRITE(PHLUN,9000)
+ WRITE(PHLUN,9120)
+ GOTO (10,20,30,40,50,60,70,80,90,100),IMES
+ WRITE(PHLUN,9130) IMES
+ GOTO 120
+ 10 WRITE(PHLUN,9010) TEXT,INT(SDATA)
+ GOTO 110
+ 20 WRITE(PHLUN,9020) TEXT,SDATA
+ GOTO 110
+ 30 WRITE(PHLUN,9030) TEXT,SDATA
+ GOTO 110
+ 40 WRITE(PHLUN,9040) TEXT
+ GOTO 110
+ 50 WRITE(PHLUN,9050) TEXT,INT(SDATA)
+ GOTO 110
+ 60 WRITE(PHLUN,9060) TEXT,SDATA
+ GOTO 130
+ 70 WRITE(PHLUN,9070) TEXT,INT(SDATA)
+ GOTO 110
+ 80 WRITE(PHLUN,9080) TEXT,INT(SDATA)
+ GOTO 110
+ 90 WRITE(PHLUN,9090) TEXT,INT(SDATA)
+ GOTO 110
+ 100 WRITE(PHLUN,9100) TEXT,SDATA
+ GOTO 130
+ 110 CONTINUE
+ WRITE(PHLUN,9140)
+ WRITE(PHLUN,9120)
+ WRITE(PHLUN,9000)
+ IF (ISEC) THEN
+ STOP
+ ELSE
+ GOTO 130
+ ENDIF
+ 120 IERROR=IERROR+1
+ IF (IERROR.GE.10) THEN
+ WRITE(PHLUN,9150)
+ WRITE(PHLUN,9120)
+ WRITE(PHLUN,9000)
+ IF (ISEC) THEN
+ STOP
+ ELSE
+ GOTO 130
+ ENDIF
+ ENDIF
+ 130 WRITE(PHLUN,9120)
+ WRITE(PHLUN,9000)
+ RETURN
+ 9000 FORMAT(1H ,80('*'))
+ 9010 FORMAT(1H ,'* ',A,': Too many charged Particles, NCHARG =',I6,T81,
+ &'*')
+ 9020 FORMAT(1H ,'* ',A,': Too much Bremsstrahlung required, PRSOFT = ',
+ &F15.6,T81,'*')
+ 9030 FORMAT(1H ,'* ',A,': Combined Weight is exceeding 1., Weight = ',
+ &F15.6,T81,'*')
+ 9040 FORMAT(1H ,'* ',A,
+ &': Error in Rescaling charged and neutral Vectors',T81,'*')
+ 9050 FORMAT(1H ,'* ',A,
+ &': Non matching charged Particle Pointer, NCHARG = ',I5,T81,'*')
+ 9060 FORMAT(1H ,'* ',A,
+ &': Do you really work with a Particle of Spin: ',F4.1,' ?',T81,
+ &'*')
+ 9070 FORMAT(1H ,'* ',A, ': Stack Length exceeded, NSTACK = ',I5 ,T81,
+ &'*')
+ 9080 FORMAT(1H ,'* ',A,
+ &': Random Number Generator Seed(1) out of Range: ',I8,T81,'*')
+ 9090 FORMAT(1H ,'* ',A,
+ &': Random Number Generator Seed(2) out of Range: ',I8,T81,'*')
+ 9100 FORMAT(1H ,'* ',A,
+ &': Available Phase Space below Cut-off: ',F15.6,' GeV/c^2',T81,
+ &'*')
+ 9120 FORMAT(1H ,'*',T81,'*')
+ 9130 FORMAT(1H ,'* Funny Error Message: ',I4,' ! What to do ?',T81,'*')
+ 9140 FORMAT(1H ,'* Fatal Error Message, I stop this Run !',T81,'*')
+ 9150 FORMAT(1H ,'* 10 Error Messages generated, I stop this Run !',T81,
+ &'*')
+ END
--- /dev/null
+ FUNCTION PHOFAC(MODE)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays control FACtor
+C.
+C. Purpose: This is the control function for the photon spectrum and
+C. final weighting. It is called from PHOENE for genera-
+C. ting the raw photon energy spectrum (MODE=0) and in PHO-
+C. COR to scale the final weight (MODE=1). The factor con-
+C. sists of 3 terms. Addition of the factor FF which mul-
+C. tiplies PHOFAC for MODE=0 and divides PHOFAC for MODE=1,
+C. does not affect the results for the MC generation. An
+C. appropriate choice for FF can speed up the calculation.
+C. Note that a too small value of FF may cause weight over-
+C. flow in PHOCOR and will generate a warning, halting the
+C. execution. PRX should be included for repeated calls
+C. for the same event, allowing more particles to radiate
+C. photons. At the first call IREP=0, for more than 1
+C. charged decay products, IREP >= 1. Thus, PRSOFT (no
+C. photon radiation probability in the previous calls)
+C. appropriately scales the strength of the bremsstrahlung.
+C.
+C. Input Parameters: MODE, PROBH, XF
+C.
+C. Output Parameter: Function value
+C.
+C. Author(s): S. Jadach, Z. Was Created at: 01/01/89
+C. B. van Eijk Last Update: 13/02/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ REAL*8 PHOFAC,FF,PRX
+ INTEGER MODE
+ INTEGER IREP
+ REAL*8 PROBH,CORWT,XF
+ COMMON/PHOPRO/PROBH,CORWT,XF,IREP
+ SAVE PRX,FF
+ DATA PRX,FF/ 0.D0, 0.D0/
+ IF (MODE.EQ.0) THEN
+ IF (IREP.EQ.0) PRX=1.D0
+ PRX=PRX/(1.D0-PROBH)
+ FF=1.D0
+C--
+C-- Following options are not considered for the time being...
+C-- (1) Good choice, but does not save very much time:
+C-- FF=(1.0D0-SQRT(XF)/2.0D0)/(1.0+SQRT(XF)/2.0D0)
+C-- (2) Taken from the blue, but works without weight overflows...
+C-- FF=(1.D0-XF/(1-(1-SQRT(XF))**2))*(1+(1-SQRT(XF))/SQRT(1-XF))/2
+ PHOFAC=FF*PRX
+ ELSE
+ PHOFAC=1.D0/FF
+ ENDIF
+ END
--- /dev/null
+ SUBROUTINE PHOIN(IP,BOOST,NHEP0)
+C.----------------------------------------------------------------------
+C.
+C. PHOIN: PHOtos INput
+C.
+C. Purpose: copies IP branch of the common /PH_HEPEVT/ into /PHOEVT/
+C. moves branch into its CMS system.
+C.
+C. Input Parameters: IP: pointer of particle starting branch
+C. to be copied
+C. BOOST: Flag whether boost to CMS was or was
+C . not performed.
+C.
+C. Output Parameters: Commons: /PHOEVT/, /PHOCMS/
+C.
+C. Author(s): Z. Was Created at: 24/05/93
+C. Last Update: 16/11/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ INTEGER IP,IP2,I,FIRST,LAST,LL,NA
+ LOGICAL BOOST
+ INTEGER J,NHEP0
+ DOUBLE PRECISION BET(3),GAM,PB
+ COMMON /PHOCMS/ BET,GAM
+ LOGICAL INTERF,ISEC,IFTOP
+ REAL*8 FINT,FSEC
+ COMMON /PHOKEY/ FSEC,FINT,INTERF,ISEC,IFTOP
+C--
+C let's calculate size of the little common entry
+ FIRST=JDAHEP(1,IP)
+ LAST =JDAHEP(2,IP)
+ NPHO=3+LAST-FIRST+NHEP-NHEP0
+ NEVPHO=NPHO
+C let's take in decaying particle
+ IDPHO(1)=IDHEP(IP)
+ JDAPHO(1,1)=3
+ JDAPHO(2,1)=3+LAST-FIRST
+ DO I=1,5
+ PPHO(I,1)=PHEP(I,IP)
+ ENDDO
+C let's take in eventual second mother
+ IP2=JMOHEP(2,JDAHEP(1,IP))
+ IF((IP2.NE.0).AND.(IP2.NE.IP)) THEN
+ IDPHO(2)=IDHEP(IP2)
+ JDAPHO(1,2)=3
+ JDAPHO(2,2)=3+LAST-FIRST
+ DO I=1,5
+ PPHO(I,2)=PHEP(I,IP2)
+ ENDDO
+ ELSE
+ IDPHO(2)=0
+ DO I=1,5
+ PPHO(I,2)=0.0D0
+ ENDDO
+ ENDIF
+C let's take in daughters
+ DO LL=0,LAST-FIRST
+ IDPHO(3+LL)=IDHEP(FIRST+LL)
+ JMOPHO(1,3+LL)=JMOHEP(1,FIRST+LL)
+ IF (JMOHEP(1,FIRST+LL).EQ.IP) JMOPHO(1,3+LL)=1
+ DO I=1,5
+ PPHO(I,3+LL)=PHEP(I,FIRST+LL)
+ ENDDO
+ ENDDO
+ IF (NHEP.GT.NHEP0) THEN
+C let's take in illegitimate daughters
+ NA=3+LAST-FIRST
+ DO LL=1,NHEP-NHEP0
+ IDPHO(NA+LL)=IDHEP(NHEP0+LL)
+ JMOPHO(1,NA+LL)=JMOHEP(1,NHEP0+LL)
+ IF (JMOHEP(1,NHEP0+LL).EQ.IP) JMOPHO(1,NA+LL)=1
+ DO I=1,5
+ PPHO(I,NA+LL)=PHEP(I,NHEP0+LL)
+ ENDDO
+ ENDDO
+C-- there is NHEP-NHEP0 daugters more.
+ JDAPHO(2,1)=3+LAST-FIRST+NHEP-NHEP0
+ ENDIF
+ CALL PHLUPA(1)
+ CALL PHCORK(0)
+C special case of t tbar production process
+ IF(IFTOP) CALL PHOTWO(0)
+ BOOST=.FALSE.
+C-- Check whether parent is in its rest frame...
+ IF ( (ABS(PPHO(4,1)-PPHO(5,1)).GT.PPHO(5,1)*1.D-8)
+ $ .AND.(PPHO(5,1).NE.0)) THEN
+ BOOST=.TRUE.
+C--
+C-- Boost daughter particles to rest frame of parent...
+C-- Resultant neutral system already calculated in rest frame !
+ DO 10 J=1,3
+ 10 BET(J)=-PPHO(J,1)/PPHO(5,1)
+ GAM=PPHO(4,1)/PPHO(5,1)
+ DO 30 I=JDAPHO(1,1),JDAPHO(2,1)
+ PB=BET(1)*PPHO(1,I)+BET(2)*PPHO(2,I)+BET(3)*PPHO(3,I)
+ DO 20 J=1,3
+ 20 PPHO(J,I)=PPHO(J,I)+BET(J)*(PPHO(4,I)+PB/(GAM+1.D0))
+ 30 PPHO(4,I)=GAM*PPHO(4,I)+PB
+C-- Finally boost mother as well
+ I=1
+ PB=BET(1)*PPHO(1,I)+BET(2)*PPHO(2,I)+BET(3)*PPHO(3,I)
+ DO J=1,3
+ PPHO(J,I)=PPHO(J,I)+BET(J)*(PPHO(4,I)+PB/(GAM+1.D0))
+ ENDDO
+ PPHO(4,I)=GAM*PPHO(4,I)+PB
+ ENDIF
+C special case of t tbar production process
+ IF(IFTOP) CALL PHOTWO(1)
+ CALL PHLUPA(2)
+ END
--- /dev/null
+ SUBROUTINE PHOINF
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays general INFo
+C.
+C. Purpose: Print PHOTOS info
+C.
+C. Input Parameters: PHOLUN
+C.
+C. Output Parameters: PHOVN1, PHOVN2
+C.
+C. Author(s): B. van Eijk Created at: 12/04/90
+C. Last Update: 02/10/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER IV1,IV2,IV3
+ INTEGER PHOVN1,PHOVN2
+ COMMON/PHOVER/PHOVN1,PHOVN2
+ INTEGER PHLUN
+ COMMON/PHOLUN/PHLUN
+ LOGICAL INTERF,ISEC,IFTOP
+ REAL*8 FINT,FSEC
+ COMMON /PHOKEY/ FSEC,FINT,INTERF,ISEC,IFTOP
+ REAL*8 ALPHA,XPHCUT
+ COMMON/PHOCOP/ALPHA,XPHCUT
+C--
+C-- PHOTOS version number and release date
+ PHOVN1=202
+ PHOVN2=150399
+C--
+C-- Print info
+ WRITE(PHLUN,9000)
+ WRITE(PHLUN,9020)
+ WRITE(PHLUN,9010)
+ WRITE(PHLUN,9030)
+ IV1=PHOVN1/100
+ IV2=PHOVN1-IV1*100
+ WRITE(PHLUN,9040) IV1,IV2
+ IV1=PHOVN2/10000
+ IV2=(PHOVN2-IV1*10000)/100
+ IV3=PHOVN2-IV1*10000-IV2*100
+ WRITE(PHLUN,9050) IV1,IV2,IV3
+ WRITE(PHLUN,9030)
+ WRITE(PHLUN,9010)
+ WRITE(PHLUN,9060)
+ WRITE(PHLUN,9010)
+ WRITE(PHLUN,9070)
+ WRITE(PHLUN,9010)
+ WRITE(PHLUN,9020)
+ WRITE(PHLUN,9010)
+ WRITE(PHLUN,9064) INTERF,ISEC,IFTOP,ALPHA,XPHCUT
+ WRITE(PHLUN,9010)
+ IF (INTERF) WRITE(PHLUN,9061)
+ IF (ISEC) WRITE(PHLUN,9062)
+ IF (IFTOP) WRITE(PHLUN,9063)
+ WRITE(PHLUN,9080)
+ WRITE(PHLUN,9010)
+ WRITE(PHLUN,9020)
+ RETURN
+ 9000 FORMAT(1H1)
+ 9010 FORMAT(1H ,'*',T81,'*')
+ 9020 FORMAT(1H ,80('*'))
+ 9030 FORMAT(1H ,'*',26X,26('='),T81,'*')
+ 9040 FORMAT(1H ,'*',28X,'PHOTOS, Version: ',I2,'.',I2,T81,'*')
+ 9050 FORMAT(1H ,'*',28X,'Released at: ',I2,'/',I2,'/',I2,T81,'*')
+ 9060 FORMAT(1H ,'*',18X,'PHOTOS QED Corrections in Particle Decays',
+ &T81,'*')
+ 9061 FORMAT(1H ,'*',18X,'option with interference is active ',
+ &T81,'*')
+ 9062 FORMAT(1H ,'*',18X,'option with double photons is active ',
+ &T81,'*')
+ 9063 FORMAT(1H ,'*',18X,'emision in t tbar production is active ',
+ &T81,'*')
+ 9064 FORMAT(1H ,'*',18X,'Internal input parameters:',T81,'*'
+ &,/, 1H ,'*',T81,'*'
+ &,/, 1H ,'*',18X,'INTERF=',L2,' ISEC=',L2,' IFTOP=',L2,T81,'*'
+ &,/, 1H ,'*',18X,'ALPHA_QED=',F8.5,' XPHCUT=',F8.5,T81,'*')
+ 9070 FORMAT(1H ,'*',9X,'Monte Carlo Program - by E. Barberio, B. van Ei
+ &jk and Z. Was',T81,'*',/,
+ & 1H ,'*',9X,'From version 2.0 on - by E.B. and Z.W.',T81,'*')
+ 9080 FORMAT( 1H ,'*',9X,' ',T81,'*',/,
+ & 1H ,'*',9X,
+ & ' WARNING (1): /HEPEVT/ is not anymore the standard common block'
+ & ,T81,'*',/,
+ & 1H ,'*',9X,' ',T81,'*',/,
+ & 1H ,'*',9X,
+ & ' PHOTOS expects /HEPEVT/ to have REAL*4 variables. To change to'
+ & ,T81,'*',/, 1H ,'*',9X,
+ & ' REAL*8 modify its declaration in subr. PHOTOS_GET PHOTOS_SET:'
+ & ,T81,'*',/, 1H ,'*',9X,
+ & ' REAL*8 d_h_phep, d_h_vhep'
+ & ,T81,'*',/, 1H ,'*',9X,
+ & ' WARNING (2): check dims. of /hepevt/ /phoqed/ /ph_hepevt/.'
+ & ,T81,'*',/, 1H ,'*',9X,
+ & ' HERE: d_h_nmxhep=4000 and NMXHEP=10000'
+ & ,T81,'*')
+ END
--- /dev/null
+*/////////////////////////////////////////////////////////////////////////////////////
+*// //
+*// !!!!!!! WARNING!!!!! This source may be agressive !!!! //
+*// //
+*// Due to short common block names it may owerwrite variables in other parts //
+*// of the code. //
+*// //
+*// One should add suffix c_Photos_ to names of all commons as soon as possible!! //
+*// //
+*/////////////////////////////////////////////////////////////////////////////////////
+
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOtos CDE's
+C.
+C. Purpose: Keep definitions for PHOTOS QED correction Monte Carlo.
+C.
+C. Input Parameters: None
+C.
+C. Output Parameters: None
+C.
+C. Author(s): Z. Was, B. van Eijk Created at: 29/11/89
+C. Last Update: 10/08/93
+C.
+C. =========================================================
+C. General Structure Information: =
+C. =========================================================
+C: ROUTINES:
+C. 1) INITIALIZATION:
+C. PHOCDE
+C. PHOINI
+C. PHOCIN
+C. PHOINF
+C. 2) GENERAL INTERFACE:
+C. PHOTOS
+C. PHOTOS_GET
+C. PHOTOS_SET
+C. PHOTOS_MAKE
+C. PHOBOS
+C. PHOIN
+C. PHOTWO (specific interface
+C. PHOOUT
+C. PHOCHK
+C. PHTYPE (specific interface
+C. PHOMAK (specific interface
+C. 3) QED PHOTON GENERATION:
+C. PHINT
+C. PHOPRE
+C. PHOOMA
+C. PHOENE
+C. PHOCOR
+C. PHOFAC
+C. PHODO
+C. 4) UTILITIES:
+C. PHOTRI
+C. PHOAN1
+C. PHOAN2
+C. PHOBO3
+C. PHORO2
+C. PHORO3
+C. PHORIN
+C. PHORAN
+C. PHOCHA
+C. PHOSPI
+C. PHOERR
+C. PHOREP
+C. PHLUPA
+C. PHCORK
+C. COMMONS:
+C. NAME USED IN SECT. # OF OCC. Comment
+C. PHOQED 1) 2) 3 Flags whether emisson to be gen.
+C. PHOLUN 1) 4) 6 Output device number
+C. PHOCOP 1) 3) 4 photon coupling & min energy
+C. PHPICO 1) 3) 4) 5 PI & 2*PI
+C. PHSEED 1) 4) 3 RN seed
+C. PHOSTA 1) 4) 3 Status information
+C. PHOKEY 1) 2) 3) 7 Keys for nonstandard application
+C. PHOVER 1) 1 Version info for outside
+C. HEPEVT 2) 2 PDG common
+C. PH_HEPEVT2) 8 PDG common internal
+C. PHOEVT 2) 3) 10 PDG branch
+C. PHOIF 2) 3) 2 emission flags for PDG branch
+C. PHOMOM 3) 5 param of char-neutr system
+C. PHOPHS 3) 5 photon momentum parameters
+C. PHOPRO 3) 4 var. for photon rep. (in branch)
+C. PHOCMS 2) 3 parameters of boost to branch CMS
+C. PHNUM 4) 1 event number from outside
+C.----------------------------------------------------------------------
+ SUBROUTINE PHOINI
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays INItialisation
+C.
+C. Purpose: Initialisation routine for the PHOTOS QED radiation
+C. package. Should be called at least once before a call
+C. to the steering program 'PHOTOS' is made.
+C.
+C. Input Parameters: None
+C.
+C. Output Parameters: None
+C.
+C. Author(s): Z. Was, B. van Eijk Created at: 26/11/89
+C. Last Update: 12/04/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER INIT
+ SAVE INIT
+ DATA INIT/ 0/
+C--
+C-- Return if already initialized...
+ IF (INIT.NE.0) RETURN
+ INIT=1
+C--
+C-- Preset parameters in PHOTOS commons
+ CALL PHOCIN
+C--
+C-- Print info
+ CALL PHOINF
+C--
+C-- Initialization of kinematic correction against rounding errors.
+C-- Default parameter is 1 (no correction) optionally 2, 3, 4
+ CALL PHCORK(1)
+C--
+C-- Initialize Marsaglia and Zaman random number generator
+ CALL PHORIN
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOMAK(IPPAR,NHEP0)
+C.----------------------------------------------------------------------
+C.
+C. PHOMAK: PHOtos MAKe
+C.
+C. Purpose: Single or double bremstrahlung radiative corrections
+C. are generated in the decay of the IPPAR-th particle in
+C. the HEP common /PH_HEPEVT/. Example of the use of
+C. general tools.
+C.
+C. Input Parameter: IPPAR: Pointer to decaying particle in
+C. /PH_HEPEVT/ and the common itself
+C.
+C. Output Parameters: Common /PH_HEPEVT/, either with or without
+C. particles added.
+C.
+C. Author(s): Z. Was, Created at: 26/05/93
+C. Last Update:
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION DATA
+ REAL*8 PHORAN
+ INTEGER IP,IPPAR,NCHARG
+ INTEGER WTDUM,IDUM,NHEP0
+ INTEGER NCHARB,NEUDAU
+ REAL*8 RN,WT,PHINT
+ LOGICAL BOOST
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ LOGICAL INTERF,ISEC,IFTOP
+ REAL*8 FINT,FSEC
+ COMMON /PHOKEY/ FSEC,FINT,INTERF,ISEC,IFTOP
+C--
+ IP=IPPAR
+ IDUM=1
+ NCHARG=0
+C--
+ CALL PHOIN(IP,BOOST,NHEP0)
+ CALL PHOCHK(JDAHEP(1,IP))
+ WT=0.0D0
+ CALL PHOPRE(1,WT,NEUDAU,NCHARB)
+ IF (WT.EQ.0.0D0) RETURN
+ RN=PHORAN(WTDUM)
+C PHODO is caling PHORAN, thus change of series if it is moved before if
+ CALL PHODO(1,NCHARB,NEUDAU)
+ IF (INTERF) WT=WT*PHINT(IDUM)/FINT
+ DATA=WT
+ IF (WT.GT.1.0D0) CALL PHOERR(3,'WT_INT',DATA)
+ IF (RN.LE.WT) THEN
+ CALL PHOOUT(IP,BOOST,NHEP0)
+ ENDIF
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOOMA(IFIRST,ILAST,POINTR)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays Order MAss vector
+C.
+C. Purpose: Order the contents of array 'POINTR' according to the
+C. decreasing value in the array 'MASS'.
+C.
+C. Input Parameters: IFIRST, ILAST: Pointers to the vector loca-
+C. tion be sorted,
+C. POINTR: Unsorted array with pointers to
+C. /PHOEVT/.
+C.
+C. Output Parameter: POINTR: Sorted arrays with respect to
+C. particle mass 'PPHO(5,*)'.
+C.
+C. Author(s): B. van Eijk Created at: 28/11/89
+C. Last Update: 27/05/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ INTEGER IFIRST,ILAST,I,J,BUFPOI,POINTR(NMXPHO)
+ REAL*8 BUFMAS,MASS(NMXPHO)
+ IF (IFIRST.EQ.ILAST) RETURN
+C--
+C-- Copy particle masses
+ DO 10 I=IFIRST,ILAST
+ 10 MASS(I)=PPHO(5,POINTR(I))
+C--
+C-- Order the masses in a decreasing series
+ DO 30 I=IFIRST,ILAST-1
+ DO 20 J=I+1,ILAST
+ IF (MASS(J).LE.MASS(I)) GOTO 20
+ BUFPOI=POINTR(J)
+ POINTR(J)=POINTR(I)
+ POINTR(I)=BUFPOI
+ BUFMAS=MASS(J)
+ MASS(J)=MASS(I)
+ MASS(I)=BUFMAS
+ 20 CONTINUE
+ 30 CONTINUE
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOOUT(IP,BOOST,NHEP0)
+C.----------------------------------------------------------------------
+C.
+C. PHOOUT: PHOtos OUTput
+C.
+C. Purpose: copies back IP branch of the common /PH_HEPEVT/ from
+C. /PHOEVT/ moves branch back from its CMS system.
+C.
+C. Input Parameters: IP: pointer of particle starting branch
+C. to be given back.
+C. BOOST: Flag whether boost to CMS was or was
+C . not performed.
+C.
+C. Output Parameters: Common /PHOEVT/,
+C.
+C. Author(s): Z. Was Created at: 24/05/93
+C. Last Update:
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ INTEGER IP,LL,FIRST,LAST,I
+ LOGICAL BOOST
+ INTEGER NN,J,K,NHEP0,NA
+ DOUBLE PRECISION BET(3),GAM,PB
+ COMMON /PHOCMS/ BET,GAM
+ IF(NPHO.EQ.NEVPHO) RETURN
+C-- When parent was not in its rest-frame, boost back...
+ CALL PHLUPA(10)
+ IF (BOOST) THEN
+ DO 110 J=JDAPHO(1,1),JDAPHO(2,1)
+ PB=-BET(1)*PPHO(1,J)-BET(2)*PPHO(2,J)-BET(3)*PPHO(3,J)
+ DO 100 K=1,3
+ 100 PPHO(K,J)=PPHO(K,J)-BET(K)*(PPHO(4,J)+PB/(GAM+1.D0))
+ 110 PPHO(4,J)=GAM*PPHO(4,J)+PB
+C-- ...boost photon, or whatever else has shown up
+ DO NN=NEVPHO+1,NPHO
+ PB=-BET(1)*PPHO(1,NN)-BET(2)*PPHO(2,NN)-BET(3)*PPHO(3,NN)
+ DO 120 K=1,3
+ 120 PPHO(K,NN)=PPHO(K,NN)-BET(K)*(PPHO(4,NN)+PB/(GAM+1.D0))
+ PPHO(4,NN)=GAM*PPHO(4,NN)+PB
+ ENDDO
+ ENDIF
+ FIRST=JDAHEP(1,IP)
+ LAST =JDAHEP(2,IP)
+C let's take in original daughters
+ DO LL=0,LAST-FIRST
+ IDHEP(FIRST+LL) = IDPHO(3+LL)
+ DO I=1,5
+ PHEP(I,FIRST+LL) = PPHO(I,3+LL)
+ ENDDO
+ ENDDO
+C let's take newcomers to the end of HEPEVT.
+ NA=3+LAST-FIRST
+ DO LL=1,NPHO-NA
+ IDHEP(NHEP0+LL) = IDPHO(NA+LL)
+ ISTHEP(NHEP0+LL)=ISTPHO(NA+LL)
+ JMOHEP(1,NHEP0+LL)=IP
+ JMOHEP(2,NHEP0+LL)=JMOHEP(2,JDAHEP(1,IP))
+ JDAHEP(1,NHEP0+LL)=0
+ JDAHEP(2,NHEP0+LL)=0
+ DO I=1,5
+ PHEP(I,NHEP0+LL) = PPHO(I,NA+LL)
+ ENDDO
+ ENDDO
+ NHEP=NHEP+NPHO-NEVPHO
+ CALL PHLUPA(20)
+ END
--- /dev/null
+
+
+ SUBROUTINE PHOPRE(IPARR,WT,NEUDAU,NCHARB)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: Photon radiation in decays
+C.
+C. Purpose: Order (alpha) radiative corrections are generated in
+C. the decay of the IPPAR-th particle in the HEP-like
+C. common /PHOEVT/. Photon radiation takes place from one
+C. of the charged daughters of the decaying particle IPPAR
+C. WT is calculated, eventual rejection will be performed
+C. later after inclusion of interference weight.
+C.
+C. Input Parameter: IPPAR: Pointer to decaying particle in
+C. /PHOEVT/ and the common itself,
+C.
+C. Output Parameters: Common /PHOEVT/, either with or without a
+C. photon(s) added.
+C. WT weight of the configuration
+C.
+C. Author(s): Z. Was, B. van Eijk Created at: 26/11/89
+C. Last Update: 26/05/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION MINMAS,MPASQR,MCHREN
+ DOUBLE PRECISION BETA,EPS,DEL1,DEL2,DATA
+ REAL*8 PHOCHA,PHOSPI,PHORAN,PHOCOR,MASSUM
+ INTEGER IP,IPARR,IPPAR,I,J,ME,NCHARG,NEUPOI,NLAST,THEDUM
+ INTEGER IDABS,IDUM
+ INTEGER NCHARB,NEUDAU
+ REAL*8 WT
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ LOGICAL CHKIF
+ COMMON/PHOIF/CHKIF(NMXPHO)
+ INTEGER CHAPOI(NMXPHO)
+ DOUBLE PRECISION MCHSQR,MNESQR
+ REAL*8 PNEUTR
+ COMMON/PHOMOM/MCHSQR,MNESQR,PNEUTR(5)
+ DOUBLE PRECISION COSTHG,SINTHG
+ REAL*8 XPHMAX,XPHOTO
+ COMMON/PHOPHS/XPHMAX,XPHOTO,COSTHG,SINTHG
+ REAL*8 ALPHA,XPHCUT
+ COMMON/PHOCOP/ALPHA,XPHCUT
+ INTEGER IREP
+ REAL*8 PROBH,CORWT,XF
+ COMMON/PHOPRO/PROBH,CORWT,XF,IREP
+C--
+ IPPAR=IPARR
+C-- Store pointers for cascade treatement...
+ IP=IPPAR
+ NLAST=NPHO
+ IDUM=1
+C--
+C-- Check decay multiplicity..
+ IF (JDAPHO(1,IP).EQ.0) RETURN
+C--
+C-- Loop over daughters, determine charge multiplicity
+ 10 NCHARG=0
+ IREP=0
+ MINMAS=0.D0
+ MASSUM=0.D0
+ DO 20 I=JDAPHO(1,IP),JDAPHO(2,IP)
+C--
+C--
+C-- Exclude marked particles, quarks and gluons etc...
+ IDABS=ABS(IDPHO(I))
+ IF (CHKIF(I-JDAPHO(1,IP)+3)) THEN
+ IF (PHOCHA(IDPHO(I)).NE.0) THEN
+ NCHARG=NCHARG+1
+ IF (NCHARG.GT.NMXPHO) THEN
+ DATA=NCHARG
+ CALL PHOERR(1,'PHOTOS',DATA)
+ ENDIF
+ CHAPOI(NCHARG)=I
+ ENDIF
+ MINMAS=MINMAS+PPHO(5,I)**2
+ ENDIF
+ MASSUM=MASSUM+PPHO(5,I)
+ 20 CONTINUE
+ IF (NCHARG.NE.0) THEN
+C--
+C-- Check that sum of daughter masses does not exceed parent mass
+ IF ((PPHO(5,IP)-MASSUM)/PPHO(5,IP).GT.2.D0*XPHCUT) THEN
+C--
+C-- Order charged particles according to decreasing mass, this to
+C-- increase efficiency (smallest mass is treated first).
+ IF (NCHARG.GT.1) CALL PHOOMA(1,NCHARG,CHAPOI)
+C--
+ 30 CONTINUE
+ DO 70 J=1,3
+ 70 PNEUTR(J)=-PPHO(J,CHAPOI(NCHARG))
+ PNEUTR(4)=PPHO(5,IP)-PPHO(4,CHAPOI(NCHARG))
+C--
+C-- Calculate invariant mass of 'neutral' etc. systems
+ MPASQR=PPHO(5,IP)**2
+ MCHSQR=PPHO(5,CHAPOI(NCHARG))**2
+ IF ((JDAPHO(2,IP)-JDAPHO(1,IP)).EQ.1) THEN
+ NEUPOI=JDAPHO(1,IP)
+ IF (NEUPOI.EQ.CHAPOI(NCHARG)) NEUPOI=JDAPHO(2,IP)
+ MNESQR=PPHO(5,NEUPOI)**2
+ PNEUTR(5)=PPHO(5,NEUPOI)
+ ELSE
+ MNESQR=PNEUTR(4)**2-PNEUTR(1)**2-PNEUTR(2)**2-PNEUTR(3)**2
+ MNESQR=MAX(MNESQR,MINMAS-MCHSQR)
+ PNEUTR(5)=SQRT(MNESQR)
+ ENDIF
+C--
+C-- Determine kinematical limit...
+ XPHMAX=(MPASQR-(PNEUTR(5)+PPHO(5,CHAPOI(NCHARG)))**2)/MPASQR
+C--
+C-- Photon energy fraction...
+ CALL PHOENE(MPASQR,MCHREN,BETA,IDPHO(CHAPOI(NCHARG)))
+C--
+C-- Energy fraction not too large (very seldom) ? Define angle.
+ IF ((XPHOTO.LT.XPHCUT).OR.(XPHOTO.GT.XPHMAX)) THEN
+C--
+C-- No radiation was accepted, check for more daughters that may ra-
+C-- diate and correct radiation probability...
+ NCHARG=NCHARG-1
+ IF (NCHARG.GT.0) THEN
+ IREP=IREP+1
+ GOTO 30
+ ENDIF
+ ELSE
+C--
+C-- Angle is generated in the frame defined by charged vector and
+C-- PNEUTR, distribution is taken in the infrared limit...
+ EPS=MCHREN/(1.D0+BETA)
+C--
+C-- Calculate sin(theta) and cos(theta) from interval variables
+ DEL1=(2.D0-EPS)*(EPS/(2.D0-EPS))**PHORAN(THEDUM)
+ DEL2=2.D0-DEL1
+ COSTHG=(1.D0-DEL1)/BETA
+ SINTHG=SQRT(DEL1*DEL2-MCHREN)/BETA
+C--
+C-- Determine spin of particle and construct code for matrix element
+ ME=2.D0*PHOSPI(IDPHO(CHAPOI(NCHARG)))+1.D0
+C--
+C-- Weighting procedure with 'exact' matrix element, reconstruct kine-
+C-- matics for photon, neutral and charged system and update /PHOEVT/.
+C-- Find pointer to the first component of 'neutral' system
+ DO I=JDAPHO(1,IP),JDAPHO(2,IP)
+ IF (I.NE.CHAPOI(NCHARG)) THEN
+ NEUDAU=I
+ GOTO 51
+ ENDIF
+ ENDDO
+C--
+C-- Pointer not found...
+ DATA=NCHARG
+ CALL PHOERR(5,'PHOKIN',DATA)
+ 51 CONTINUE
+ NCHARB=CHAPOI(NCHARG)
+ NCHARB=NCHARB-JDAPHO(1,IP)+3
+ NEUDAU=NEUDAU-JDAPHO(1,IP)+3
+ WT=PHOCOR(MPASQR,MCHREN,ME)
+
+ ENDIF
+ ELSE
+ DATA=PPHO(5,IP)-MASSUM
+ CALL PHOERR(10,'PHOTOS',DATA)
+ ENDIF
+ ENDIF
+C--
+ RETURN
+ END
--- /dev/null
+ FUNCTION PHORAN(IDUM)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays RANdom number generator based
+C. on Marsaglia Algorithm
+C.
+C. Purpose: Generate uniformly distributed random numbers between
+C. 0 and 1. Super long period: 2**144. See also:
+C. G. Marsaglia and A. Zaman, FSU-SCR-87-50, for seed mo-
+C. difications to this version see: F. James DD-Report,
+C. November 1988. The generator has to be initialized by
+C. a call to PHORIN.
+C.
+C. Input Parameters: IDUM (integer dummy)
+C.
+C. Output Parameters: Function value
+C.
+C. Author(s): B. van Eijk, G. Marsaglia and Created at: 27/09/89
+C. A. Zaman Last Update: 27/09/89
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ REAL*8 PHORAN
+ INTEGER IDUM
+ INTEGER ISEED,I97,J97
+ REAL*8 URAN,CRAN,CDRAN,CMRAN
+ COMMON/PHSEED/ISEED(2),I97,J97,URAN(97),CRAN,CDRAN,CMRAN
+ 10 PHORAN=URAN(I97)-URAN(J97)
+ IF (PHORAN.LT.0.D0) PHORAN=PHORAN+1.D0
+ URAN(I97)=PHORAN
+ I97=I97-1
+ IF (I97.EQ.0) I97=97
+ J97=J97-1
+ IF (J97.EQ.0) J97=97
+ CRAN=CRAN-CDRAN
+ IF (CRAN.LT.0.D0) CRAN=CRAN+CMRAN
+ PHORAN=PHORAN-CRAN
+ IF (PHORAN.LT.0.D0) PHORAN=PHORAN+1.D0
+ IF (PHORAN.LE.0.D0) GOTO 10
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOREP
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays run summary REPort
+C.
+C. Purpose: Inform user about success and/or restrictions of PHOTOS
+C. encountered during execution.
+C.
+C. Input Parameters: Common /PHOSTA/
+C.
+C. Output Parameters: None
+C.
+C. Author(s): B. van Eijk Created at: 10/01/92
+C. Last Update: 10/01/92
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER PHLUN
+ COMMON/PHOLUN/PHLUN
+ INTEGER PHOMES
+ PARAMETER (PHOMES=10)
+ INTEGER STATUS
+ COMMON/PHOSTA/STATUS(PHOMES)
+ INTEGER I
+ LOGICAL ERROR
+ ERROR=.FALSE.
+ WRITE(PHLUN,9000)
+ WRITE(PHLUN,9010)
+ WRITE(PHLUN,9020)
+ WRITE(PHLUN,9030)
+ WRITE(PHLUN,9040)
+ WRITE(PHLUN,9030)
+ WRITE(PHLUN,9020)
+ DO 10 I=1,PHOMES
+ IF (STATUS(I).EQ.0) GOTO 10
+ IF ((I.EQ.6).OR.(I.EQ.10)) THEN
+ WRITE(PHLUN,9050) I,STATUS(I)
+ ELSE
+ ERROR=.TRUE.
+ WRITE(PHLUN,9060) I,STATUS(I)
+ ENDIF
+ 10 CONTINUE
+ IF (.NOT.ERROR) WRITE(PHLUN,9070)
+ WRITE(PHLUN,9020)
+ WRITE(PHLUN,9010)
+ RETURN
+ 9000 FORMAT(1H1)
+ 9010 FORMAT(1H ,80('*'))
+ 9020 FORMAT(1H ,'*',T81,'*')
+ 9030 FORMAT(1H ,'*',26X,25('='),T81,'*')
+ 9040 FORMAT(1H ,'*',30X,'PHOTOS Run Summary',T81,'*')
+ 9050 FORMAT(1H ,'*',22X,'Warning #',I2,' occured',I6,' times',T81,'*')
+ 9060 FORMAT(1H ,'*',23X,'Error #',I2,' occured',I6,' times',T81,'*')
+ 9070 FORMAT(1H ,'*',16X,'PHOTOS Execution has successfully terminated',
+ &T81,'*')
+ END
--- /dev/null
+ SUBROUTINE PHORIN
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays RANdom number generator init
+C.
+C. Purpose: Initialse PHORAN with the user specified seeds in the
+C. array ISEED. For details see also: F. James CERN DD-
+C. Report November 1988.
+C.
+C. Input Parameters: ISEED(*)
+C.
+C. Output Parameters: URAN, CRAN, CDRAN, CMRAN, I97, J97
+C.
+C. Author(s): B. van Eijk and F. James Created at: 27/09/89
+C. Last Update: 22/02/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION DATA
+ REAL*8 S,T
+ INTEGER I,IS1,IS2,IS3,IS4,IS5,J
+ INTEGER ISEED,I97,J97
+ REAL*8 URAN,CRAN,CDRAN,CMRAN
+ COMMON/PHSEED/ISEED(2),I97,J97,URAN(97),CRAN,CDRAN,CMRAN
+C--
+C-- Check value range of seeds
+ IF ((ISEED(1).LT.0).OR.(ISEED(1).GE.31328)) THEN
+ DATA=ISEED(1)
+ CALL PHOERR(8,'PHORIN',DATA)
+ ENDIF
+ IF ((ISEED(2).LT.0).OR.(ISEED(2).GE.30081)) THEN
+ DATA=ISEED(2)
+ CALL PHOERR(9,'PHORIN',DATA)
+ ENDIF
+C--
+C-- Calculate Marsaglia and Zaman seeds (by F. James)
+ IS1=MOD(ISEED(1)/177,177)+2
+ IS2=MOD(ISEED(1),177)+2
+ IS3=MOD(ISEED(2)/169,178)+1
+ IS4=MOD(ISEED(2),169)
+ DO 20 I=1,97
+ S=0.D0
+ T=0.5D0
+ DO 10 J=1,24
+ IS5=MOD (MOD(IS1*IS2,179)*IS3,179)
+ IS1=IS2
+ IS2=IS3
+ IS3=IS5
+ IS4=MOD(53*IS4+1,169)
+ IF (MOD(IS4*IS5,64).GE.32) S=S+T
+ 10 T=0.5D0*T
+ 20 URAN(I)=S
+ CRAN=362436.D0/16777216.D0
+ CDRAN=7654321.D0/16777216.D0
+ CMRAN=16777213.D0/16777216.D0
+ I97=97
+ J97=33
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHORO2(ANGLE,PVEC)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays ROtation routine '2'
+C.
+C. Purpose: Rotate x and z components of vector PVEC around angle
+C. 'ANGLE'.
+C.
+C. Input Parameters: ANGLE, PVEC
+C.
+C. Output Parameter: PVEC
+C.
+C. Author(s): S. Jadach Created at: 01/01/89
+C. B. van Eijk Last Update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION CS,SN,ANGLE
+ REAL*8 PVEC(4)
+ CS=COS(ANGLE)*PVEC(1)+SIN(ANGLE)*PVEC(3)
+ SN=-SIN(ANGLE)*PVEC(1)+COS(ANGLE)*PVEC(3)
+ PVEC(1)=CS
+ PVEC(3)=SN
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHORO3(ANGLE,PVEC)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays ROtation routine '3'
+C.
+C. Purpose: Rotate x and y components of vector PVEC around angle
+C. 'ANGLE'.
+C.
+C. Input Parameters: ANGLE, PVEC
+C.
+C. Output Parameter: PVEC
+C.
+C. Author(s): S. Jadach Created at: 01/01/89
+C. B. van Eijk Last Update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION CS,SN,ANGLE
+ REAL*8 PVEC(4)
+ CS=COS(ANGLE)*PVEC(1)-SIN(ANGLE)*PVEC(2)
+ SN=SIN(ANGLE)*PVEC(1)+COS(ANGLE)*PVEC(2)
+ PVEC(1)=CS
+ PVEC(2)=SN
+ RETURN
+ END
--- /dev/null
+ FUNCTION PHOSPI(IDHEP)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays function for SPIn determina-
+C. tion
+C.
+C. Purpose: Calculate the spin of particle with code IDHEP. The
+C. code of the particle is defined by the Particle Data
+C. Group in Phys. Lett. B204 (1988) 1.
+C.
+C. Input Parameter: IDHEP
+C.
+C. Output Parameter: Funtion value = spin of particle with code
+C. IDHEP
+C.
+C. Author(s): E. Barberio and B. van Eijk Created at: 29/11/89
+C. Last update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ REAL*8 PHOSPI
+ INTEGER IDHEP,IDABS
+C--
+C-- Array 'SPIN' contains the spin of the first 100 particles accor-
+C-- ding to the PDG particle code...
+ REAL*8 SPIN(100)
+ DATA SPIN/ 8*.5D0, 1.D0, 0.D0, 8*.5D0, 2*0.D0, 4*1.D0, 76*0.D0/
+ IDABS=ABS(IDHEP)
+C--
+C-- Spin of quark, lepton, boson etc....
+ IF (IDABS.LE.100) THEN
+ PHOSPI=SPIN(IDABS)
+ ELSE
+C--
+C-- ...other particles, however...
+ PHOSPI=(MOD(IDABS,10)-1.D0)/2.D0
+C--
+C-- ...K_short and K_long are special !!
+ PHOSPI=MAX(PHOSPI,0.D0)
+ ENDIF
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOTOS(ID)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: General search routine + _GET + _SET
+C.
+C. Purpose: /HEPEVT/ is not anymore a standard at least
+C. REAL*8 REAL*4 are in use. PHOTOS_GET and PHOTOS_SET
+C. were to be introduced.
+C.
+C.
+C. Input Parameters: ID see routine PPHOTOS_MAKE
+C.
+C. Output Parameters: None
+C.
+C. Author(s): Z. Was Created at: 21/07/98
+C. Last Update: 21/07/98
+C.
+C.----------------------------------------------------------------------
+ CALL PHOTOS_GET
+ CALL PHOTOS_MAKE(ID)
+ CALL PHOTOS_SET
+ END
--- /dev/null
+
+ SUBROUTINE PHOTOS_GET
+C.----------------------------------------------------------------------
+C.
+C. Getter for PHOTOS:
+C.
+C. Purpose: Copies /HEPEVT/ into /PH_HEPEVT/
+C.
+C.
+C. Input Parameters: None
+C.
+C. Output Parameters: None
+C.
+C. Author(s): Z. Was Created at: 21/07/98
+C. Last Update: 21/07/98
+C.
+C.----------------------------------------------------------------------
+
+ IMPLICIT NONE
+ INTEGER d_h_nmxhep ! maximum number of particles
+ PARAMETER ( d_h_nmxhep=4000)
+ REAL*8 d_h_phep, d_h_vhep ! to be real*4 or *8 depending on host
+ INTEGER d_h_nevhep,d_h_nhep,d_h_isthep,d_h_idhep,d_h_jmohep,
+ $ d_h_jdahep
+ COMMON /hepevt/
+ $ d_h_nevhep, ! serial number
+ $ d_h_nhep, ! number of particles
+ $ d_h_isthep(d_h_nmxhep), ! status code
+ $ d_h_idhep(d_h_nmxhep), ! particle ident KF
+ $ d_h_jmohep(2,d_h_nmxhep), ! parent particles
+ $ d_h_jdahep(2,d_h_nmxhep), ! childreen particles
+ $ d_h_phep(5,d_h_nmxhep), ! four-momentum, mass [GeV]
+ $ d_h_vhep(4,d_h_nmxhep) ! vertex [mm]
+* ----------------------------------------------------------------------
+! LOGICAL d_h_qedrad
+! COMMON /phoqed/
+! $ d_h_qedrad(d_h_nmxhep) ! Photos flag
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ LOGICAL QEDRAD
+ COMMON/PHOQED/QEDRAD(NMXHEP)
+ integer k,l
+ nevhep= d_h_nevhep ! serial number
+ nhep = d_h_nhep ! number of particles
+ DO K=1,nhep
+ isthep(k) =d_h_isthep(k) ! status code
+ idhep(k) =d_h_idhep(k) ! particle ident KF
+ jmohep(1,k) =d_h_jmohep(1,k) ! parent particles
+ jdahep(1,k) =d_h_jdahep(1,k) ! childreen particles
+ jmohep(2,k) =d_h_jmohep(2,k) ! parent particles
+ jdahep(2,k) =d_h_jdahep(2,k) ! childreen particles
+ DO l=1,4
+ phep(l,k) =d_h_phep(l,k) ! four-momentum, mass [GeV]
+ vhep(l,k) =d_h_vhep(l,k) ! vertex [mm]
+ ENDDO
+ phep(5,k) =d_h_phep(5,k) ! four-momentum, mass [GeV]
+ ENDDO
+ END
--- /dev/null
+ SUBROUTINE PHOTOS_MAKE(IPARR)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS_MAKE: General search routine
+C.
+C. Purpose: Search through the /PH_HEPEVT/ standard HEP common, sta-
+C. rting from the IPPAR-th particle. Whenevr branching
+C. point is found routine PHTYPE(IP) is called.
+C. Finally if calls on PHTYPE(IP) modified entries, common
+C /PH_HEPEVT/ is ordered.
+C.
+C. Input Parameter: IPPAR: Pointer to decaying particle in
+C. /PH_HEPEVT/ and the common itself,
+C.
+C. Output Parameters: Common /PH_HEPEVT/, either with or without
+C. new particles added.
+C.
+C. Author(s): Z. Was, B. van Eijk Created at: 26/11/89
+C. Last Update: 30/08/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ REAL*8 PHOTON(5)
+ INTEGER IP,IPARR,IPPAR,I,J,K,L,NLAST
+ DOUBLE PRECISION DATA
+ INTEGER MOTHER,POSPHO
+ LOGICAL CASCAD
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ LOGICAL QEDRAD
+ COMMON/PHOQED/QEDRAD(NMXHEP)
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER ISTACK(0:NMXPHO),NUMIT,NTRY,KK,LL,II,NA,FIRST,LAST
+ INTEGER FIRSTA,LASTA,IPP,IDA1,IDA2,MOTHER2,IDPHO,ISPHO
+ REAL*8 PORIG(5,NMXPHO)
+C--
+ IPPAR=ABS(IPARR)
+C-- Store pointers for cascade treatement...
+ IP=IPPAR
+ NLAST=NHEP
+ CASCAD=.FALSE.
+C--
+C-- Check decay multiplicity and minimum of correctness..
+ IF ((JDAHEP(1,IP).EQ.0).OR.(JMOHEP(1,JDAHEP(1,IP)).NE.IP)) RETURN
+C--
+C-- single branch mode
+C-- we start looking for the decay points in the cascade
+C-- IPPAR is original position where the program was called
+ ISTACK(0)=IPPAR
+C-- NUMIT denotes number of secondary decay branches
+ NUMIT=0
+C-- NTRY denotes number of secondary branches already checked for
+C-- for existence of further branches
+ NTRY=0
+C-- let's search if IPARR does not prevent searching.
+ IF (IPARR.GT.0) THEN
+ 30 CONTINUE
+ DO I=JDAHEP(1,IP),JDAHEP(2,IP)
+ IF (JDAHEP(1,I).NE.0.AND.JMOHEP(1,JDAHEP(1,I)).EQ.I) THEN
+ NUMIT=NUMIT+1
+ IF (NUMIT.GT.NMXPHO) THEN
+ DATA=NUMIT
+ CALL PHOERR(7,'PHOTOS',DATA)
+ ENDIF
+ ISTACK(NUMIT)=I
+ ENDIF
+ ENDDO
+ IF(NUMIT.GT.NTRY) THEN
+ NTRY=NTRY+1
+ IP=ISTACK(NTRY)
+ GOTO 30
+ ENDIF
+ ENDIF
+C-- let's do generation
+ DO 25 KK=0,NUMIT
+ NA=NHEP
+ FIRST=JDAHEP(1,ISTACK(KK))
+ LAST=JDAHEP(2,ISTACK(KK))
+ DO II=1,LAST-FIRST+1
+ DO LL=1,5
+ PORIG(LL,II)=PHEP(LL,FIRST+II-1)
+ ENDDO
+ ENDDO
+C--
+ CALL PHTYPE(ISTACK(KK))
+C--
+C-- Correct energy/momentum of cascade daughters
+ IF(NHEP.GT.NA) THEN
+ DO II=1,LAST-FIRST+1
+ IPP=FIRST+II-1
+ FIRSTA=JDAHEP(1,IPP)
+ LASTA=JDAHEP(2,IPP)
+ IF(JMOHEP(1,IPP).EQ.ISTACK(KK))
+ $ CALL PHOBOS(IPP,PORIG(1,II),PHEP(1,IPP),FIRSTA,LASTA)
+ ENDDO
+ ENDIF
+ 25 CONTINUE
+C--
+C-- rearrange /PH_HEPEVT/ to get correct order..
+ IF (NHEP.GT.NLAST) THEN
+ DO 160 I=NLAST+1,NHEP
+C--
+C-- Photon mother and position...
+ MOTHER=JMOHEP(1,I)
+ POSPHO=JDAHEP(2,MOTHER)+1
+C-- Intermediate save of photon energy/momentum and pointers
+ DO 90 J=1,5
+ 90 PHOTON(J)=PHEP(J,I)
+ ISPHO =ISTHEP(I)
+ IDPHO =IDHEP(I)
+ MOTHER2 =JMOHEP(2,I)
+ IDA1 =JDAHEP(1,I)
+ IDA2 =JDAHEP(2,I)
+C--
+C-- Exclude photon in sequence !
+ IF (POSPHO.NE.NHEP) THEN
+C--
+C--
+C-- Order /PH_HEPEVT/
+ DO 120 K=I,POSPHO+1,-1
+ ISTHEP(K)=ISTHEP(K-1)
+ QEDRAD(K)=QEDRAD(K-1)
+ IDHEP(K)=IDHEP(K-1)
+ DO 100 L=1,2
+ JMOHEP(L,K)=JMOHEP(L,K-1)
+ 100 JDAHEP(L,K)=JDAHEP(L,K-1)
+ DO 110 L=1,5
+ 110 PHEP(L,K)=PHEP(L,K-1)
+ DO 120 L=1,4
+ 120 VHEP(L,K)=VHEP(L,K-1)
+C--
+C-- Correct pointers assuming most dirty /PH_HEPEVT/...
+ DO 130 K=1,NHEP
+ DO 130 L=1,2
+ IF ((JMOHEP(L,K).NE.0).AND.(JMOHEP(L,K).GE.
+ & POSPHO)) JMOHEP(L,K)=JMOHEP(L,K)+1
+ IF ((JDAHEP(L,K).NE.0).AND.(JDAHEP(L,K).GE.
+ & POSPHO)) JDAHEP(L,K)=JDAHEP(L,K)+1
+ 130 CONTINUE
+C--
+C-- Store photon energy/momentum
+ DO 140 J=1,5
+ 140 PHEP(J,POSPHO)=PHOTON(J)
+ ENDIF
+C--
+C-- Store pointers for the photon...
+ JDAHEP(2,MOTHER)=POSPHO
+ ISTHEP(POSPHO)=ISPHO
+ IDHEP(POSPHO)=IDPHO
+ JMOHEP(1,POSPHO)=MOTHER
+ JMOHEP(2,POSPHO)=MOTHER2
+ JDAHEP(1,POSPHO)=IDA1
+ JDAHEP(2,POSPHO)=IDA2
+C--
+C-- Get photon production vertex position
+ DO 150 J=1,4
+ 150 VHEP(J,POSPHO)=VHEP(J,POSPHO-1)
+ 160 CONTINUE
+ ENDIF
+ RETURN
+ END
--- /dev/null
+
+
+ SUBROUTINE PHOTOS_SET
+C.----------------------------------------------------------------------
+C.
+C. Setter for PHOTOS:
+C.
+C. Purpose: Copies /PH_HEPEVT/ into /HEPEVT/
+C.
+C.
+C. Input Parameters: None
+C.
+C. Output Parameters: None
+C.
+C. Author(s): Z. Was Created at: 21/07/98
+C. Last Update: 21/07/98
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER d_h_nmxhep ! maximum number of particles
+ PARAMETER ( d_h_nmxhep=4000)
+ REAL*8 d_h_phep, d_h_vhep ! to be real*4 or *8 depending on host
+ INTEGER d_h_nevhep,d_h_nhep,d_h_isthep,d_h_idhep,d_h_jmohep,
+ $ d_h_jdahep
+ COMMON /hepevt/
+ $ d_h_nevhep, ! serial number
+ $ d_h_nhep, ! number of particles
+ $ d_h_isthep(d_h_nmxhep), ! status code
+ $ d_h_idhep(d_h_nmxhep), ! particle ident KF
+ $ d_h_jmohep(2,d_h_nmxhep), ! parent particles
+ $ d_h_jdahep(2,d_h_nmxhep), ! childreen particles
+ $ d_h_phep(5,d_h_nmxhep), ! four-momentum, mass [GeV]
+ $ d_h_vhep(4,d_h_nmxhep) ! vertex [mm]
+* ----------------------------------------------------------------------
+! LOGICAL d_h_qedrad
+! COMMON /phoqed/
+! $ d_h_qedrad(d_h_nmxhep) ! Photos flag
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ LOGICAL QEDRAD
+ COMMON/PHOQED/QEDRAD(NMXHEP)
+ INTEGER K,L
+
+ d_h_nevhep= nevhep ! serial number
+ d_h_nhep = nhep ! number of particles
+ DO K=1,nhep
+ d_h_isthep(k) =isthep(k) ! status code
+ d_h_idhep(k) =idhep(k) ! particle ident KF
+ d_h_jmohep(1,k) =jmohep(1,k) ! parent particles
+ d_h_jdahep(1,k) =jdahep(1,k) ! childreen particles
+ d_h_jmohep(2,k) =jmohep(2,k) ! parent particles
+ d_h_jdahep(2,k) =jdahep(2,k) ! childreen particles
+ DO l=1,4
+ d_h_phep(l,k) =phep(l,k) ! four-momentum, mass [GeV]
+ d_h_vhep(l,k) =vhep(l,k) ! vertex [mm]
+ ENDDO
+ d_h_phep(5,k) =phep(5,k) ! four-momentum, mass [GeV]
+ ENDDO
+ END
--- /dev/null
+ FUNCTION PHOTRI(A,B,C)
+C.----------------------------------------------------------------------
+C.
+C. PHOTOS: PHOton radiation in decays calculation of TRIangle fie
+C.
+C. Purpose: Calculation of triangle function for phase space.
+C.
+C. Input Parameters: A, B, C (Virtual) particle masses.
+C.
+C. Output Parameter: Function value =
+C. SQRT(LAMBDA(A**2,B**2,C**2))/(2*A)
+C.
+C. Author(s): B. van Eijk Created at: 15/11/89
+C. Last Update: 02/01/90
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ DOUBLE PRECISION DA,DB,DC,DAPB,DAMB,DTRIAN
+ REAL*8 A,B,C,PHOTRI
+ DA=A
+ DB=B
+ DC=C
+ DAPB=DA+DB
+ DAMB=DA-DB
+ DTRIAN=SQRT((DAMB-DC)*(DAPB+DC)*(DAMB+DC)*(DAPB-DC))
+ PHOTRI=DTRIAN/(DA+DA)
+ RETURN
+ END
--- /dev/null
+ SUBROUTINE PHOTWO(MODE)
+C.----------------------------------------------------------------------
+C.
+C. PHOTWO: PHOtos but TWO mothers allowed
+C.
+C. Purpose: Combines two mothers into one in /PHOEVT/
+C. necessary eg in case of g g (q qbar) --> t tbar
+C.
+C. Input Parameters: Common /PHOEVT/ (/PHOCMS/)
+C.
+C. Output Parameters: Common /PHOEVT/, (stored mothers)
+C.
+C. Author(s): Z. Was Created at: 5/08/93
+C. Last Update:10/08/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER NMXPHO
+ PARAMETER (NMXPHO=10000)
+ INTEGER IDPHO,ISTPHO,JDAPHO,JMOPHO,NEVPHO,NPHO
+ REAL*8 PPHO,VPHO
+ COMMON/PHOEVT/NEVPHO,NPHO,ISTPHO(NMXPHO),IDPHO(NMXPHO),
+ &JMOPHO(2,NMXPHO),JDAPHO(2,NMXPHO),PPHO(5,NMXPHO),VPHO(4,NMXPHO)
+ DOUBLE PRECISION BET(3),GAM
+ COMMON /PHOCMS/ BET,GAM
+ INTEGER I,MODE
+ REAL*8 MPASQR
+ LOGICAL IFRAD
+C logical IFRAD is used to tag cases when two mothers may be
+C merged to the sole one.
+C So far used in case:
+C 1) of t tbar production
+C
+C t tbar case
+ IF(MODE.EQ.0) THEN
+ IFRAD=(IDPHO(1).EQ.21).AND.(IDPHO(2).EQ.21)
+ IFRAD=IFRAD.OR.(IDPHO(1).EQ.-IDPHO(2).AND.ABS(IDPHO(1)).LE.6)
+ IFRAD=IFRAD
+ & .AND.(ABS(IDPHO(3)).EQ.6).AND.(ABS(IDPHO(4)).EQ.6)
+ MPASQR= (PPHO(4,1)+PPHO(4,2))**2-(PPHO(3,1)+PPHO(3,2))**2
+ & -(PPHO(2,1)+PPHO(2,2))**2-(PPHO(1,1)+PPHO(1,2))**2
+ IFRAD=IFRAD.AND.(MPASQR.GT.0.0D0)
+ IF(IFRAD) THEN
+c.....combining first and second mother
+ DO I=1,4
+ PPHO(I,1)=PPHO(I,1)+PPHO(I,2)
+ ENDDO
+ PPHO(5,1)=SQRT(MPASQR)
+c.....removing second mother,
+ DO I=1,5
+ PPHO(I,2)=0.0D0
+ ENDDO
+ ENDIF
+ ELSE
+C boosting of the mothers to the reaction frame not implemented yet.
+C to do it in mode 0 original mothers have to be stored in new comon (?)
+C and in mode 1 boosted to cms.
+ ENDIF
+ END
--- /dev/null
+ SUBROUTINE PHTYPE(ID)
+C.----------------------------------------------------------------------
+C.
+C. PHTYPE: Central manadgement routine.
+C.
+C. Purpose: defines what kind of the
+C. actions will be performed at point ID.
+C.
+C. Input Parameters: ID: pointer of particle starting branch
+C. in /PH_HEPEVT/ to be treated.
+C.
+C. Output Parameters: Common /PH_HEPEVT/.
+C.
+C. Author(s): Z. Was Created at: 24/05/93
+C. Last Update: 01/10/93
+C.
+C.----------------------------------------------------------------------
+ IMPLICIT NONE
+ INTEGER NMXHEP
+ PARAMETER (NMXHEP=10000)
+ INTEGER IDHEP,ISTHEP,JDAHEP,JMOHEP,NEVHEP,NHEP
+ REAL*8 PHEP,VHEP
+ COMMON/PH_HEPEVT/NEVHEP,NHEP,ISTHEP(NMXHEP),IDHEP(NMXHEP),
+ &JMOHEP(2,NMXHEP),JDAHEP(2,NMXHEP),PHEP(5,NMXHEP),VHEP(4,NMXHEP)
+ LOGICAL INTERF,ISEC,IFTOP
+ REAL*8 FINT,FSEC
+ COMMON /PHOKEY/ FSEC,FINT,INTERF,ISEC,IFTOP
+ INTEGER ID,NHEP0
+ LOGICAL IPAIR
+ REAL*8 RN,PHORAN
+ INTEGER WTDUM
+C--
+ IPAIR=.TRUE.
+C-- Check decay multiplicity..
+ IF (JDAHEP(1,ID).EQ.0) RETURN
+C IF (JDAHEP(1,ID).EQ.JDAHEP(2,ID)) RETURN
+C--
+ NHEP0=NHEP
+C--
+ IF(ISEC) THEN
+C-- double photon emission
+ FSEC=1.0D0
+ RN=PHORAN(WTDUM)
+ IF (RN.GE.0.5D0) THEN
+ CALL PHOMAK(ID,NHEP0)
+ CALL PHOMAK(ID,NHEP0)
+ ENDIF
+ ELSE
+C-- single photon emission
+ FSEC=1.0D0
+ CALL PHOMAK(ID,NHEP0)
+ ENDIF
+C--
+C-- electron positron pair (coomented out for a while
+C IF (IPAIR) CALL PHOPAR(ID,NHEP0)
+ END
--- /dev/null
+//------------------------------------------------------------------------------//
+ EvtGen is a particle decay simulator specifically designed for the needs of
+ B-physics studies. Complete manual of EvtGen is available at address:
+ http://robbep.home.cern.ch/robbep/EvtGen/GuideEvtGen.pdf
+//------------------------------------------------------------------------------//
+
+[14/12/2009]
+ 1)This module contains:
+
+ - EvtGen original code organized in three directories:
+ EvtGenBase-EvtGenModels-EvtGen. EvtGenModels directory contains all models
+ avilable in EvtGen to decay particles.
+
+ - The interface classes AliGenEvtGen and AliDecayerEvtGen for AliRoot users:
+ the methods to decay particles are in AliDecayerEvtGen which represents
+ the implementation of AliDecayer using EvtGen package
+
+ 2)EvtGen required libphotos.so to generate Final State Radiation. Photos code is
+ located in PHOTOS directory.
+
+ 3)The implemented cases to force beauty hadrons interest those channels:
+ B->J/psi+X - B->J/psi+X,J/psi->e-e+ - B->J/psi+X,J/psi->mu-mu+ - B->e+X.
+ Those are decayed by exclusive models of EvtGen, and all parameters and
+ models used to decay them are not modified with respect to the official
+ EvtGen release. Some of particles produced in the decay chain (i.e. Lamda_c
+ from Lambda_b, Xi_c0 from Xi_b-, etc...) are decayed by Pythia with the
+ configuration setting in the AliDecayerPythia.
+
+ 4)Polarization is still to be implemented in the interface classes.
+ It would be done soon.
+
+ 5)To use EvtGen to decay beauty particles adjust those lines in the Config.C:
+
+ //----- load libraries (after loading libpythia6.so)
+ gSystem->Load("libphotos.so");
+ gSystem->Load("libEvtGenBase");
+ gSystem->Load("libEvtGenModels");
+ gSystem->Load("libEvtGen");
+ gSystem->Load("libTEvtGen");
+
+ //----- declare an AliGenCocktail
+ AliGenCocktail *generCock=new AliGenCocktail();
+ generCock->UsePerEventRates();
+
+ //----- declare Pythia configuration: switch-off beauty decays in Pythia
+ AliGenPythia *pythia= .....
+ ....
+ pythia->SetForceDecay(kNoDecayBeauty);
+
+ //----- declare EvtGen configuration and put the two generators in the cocktail
+ AliGenEvtGen *gene = new AliGenEvtGen();
+ gene->SetForceDecay(kBJpsiDiElectron);
+ gene->SetParticleSwitchedOff(AliGenEvtGen::kBeautyPart);
+ generCock->AddGenerator(pythia, "Pythia", 1.);
+ generCock->AddGenerator(gene,"gene",1.);
--- /dev/null
+#ifdef __CINT__
+
+#pragma link off all globals;
+#pragma link off all classes;
+#pragma link off all functions;
+
+#pragma link C++ class AliDecayerEvtGen+;
+#pragma link C++ class AliGenEvtGen+;
+
+#endif
+
--- /dev/null
+#-*- Mode: Makefile -*-
+
+SRCS:= EvtGen/EvtGen.cxx EvtGen/EvtCheckDecays.cxx
+
+HDRS:= $(SRCS:.cxx=.hh)
+
+DHDR:=EvtGen/EvtGenLinkDef.h
+
+EXPORT:=
+
+CSRCS:=
+
+
+FSRCS:=
+
+
+ifeq (win32gcc,$(ALICE_TARGET))
+PACKSOFLAGS:= $(SOFLAGS) -L$(ALICE_ROOT)/lib/tgt_$(ALICE_TARGET) \
+ -lEvtGenBase -lEvtGenModels
+endif
--- /dev/null
+#-*- Mode: Makefile -*-
+SRCS:= EvtGenBase/Evt3Rank3C.cxx \
+EvtGenBase/EvtAbsLineShape.cxx \
+EvtGenBase/EvtAmp.cxx \
+EvtGenBase/EvtAmpIndex.cxx \
+EvtGenBase/EvtAmpSubIndex.cxx \
+EvtGenBase/EvtBlattWeisskopf.cxx \
+EvtGenBase/EvtBreitWignerPdf.cxx \
+EvtGenBase/EvtCGCoefSingle.cxx \
+EvtGenBase/EvtCPUtil.cxx \
+EvtGenBase/EvtComplex.cxx \
+EvtGenBase/EvtConst.cxx \
+EvtGenBase/EvtCyclic3.cxx \
+EvtGenBase/EvtDalitzCoord.cxx \
+EvtGenBase/EvtDalitzFlatPdf.cxx \
+EvtGenBase/EvtDalitzPlot.cxx \
+EvtGenBase/EvtDalitzPoint.cxx \
+EvtGenBase/EvtDalitzResPdf.cxx \
+EvtGenBase/EvtDalitzReso.cxx \
+EvtGenBase/EvtDecayAmp.cxx \
+EvtGenBase/EvtDecayBase.cxx \
+EvtGenBase/EvtDecayIncoherent.cxx \
+EvtGenBase/EvtDecayMode.cxx \
+EvtGenBase/EvtDecayParm.cxx \
+EvtGenBase/EvtDecayProb.cxx \
+EvtGenBase/EvtDecayTable.cxx \
+EvtGenBase/EvtDiLog.cxx \
+EvtGenBase/EvtDiracParticle.cxx \
+EvtGenBase/EvtDiracSpinor.cxx \
+EvtGenBase/EvtEvalHelAmp.cxx \
+EvtGenBase/EvtFlatLineShape.cxx \
+EvtGenBase/EvtFlatte.cxx \
+EvtGenBase/EvtGammaMatrix.cxx \
+EvtGenBase/EvtGenKine.cxx \
+EvtGenBase/EvtHighSpinParticle.cxx \
+EvtGenBase/EvtId.cxx \
+EvtGenBase/EvtIdSet.cxx \
+EvtGenBase/EvtIntegPdf1D.cxx \
+EvtGenBase/EvtIntervalFlatPdf.cxx \
+EvtGenBase/EvtKine.cxx \
+EvtGenBase/EvtLASSAmp.cxx \
+EvtGenBase/EvtMBreitWigner.cxx \
+EvtGenBase/EvtMHelAmp.cxx \
+EvtGenBase/EvtMNode.cxx \
+EvtGenBase/EvtMParticle.cxx \
+EvtGenBase/EvtMRes.cxx \
+EvtGenBase/EvtMTree.cxx \
+EvtGenBase/EvtMTrivialLS.cxx \
+EvtGenBase/EvtManyDeltaFuncLineShape.cxx \
+EvtGenBase/EvtMassAmp.cxx \
+EvtGenBase/EvtModel.cxx \
+EvtGenBase/EvtModelAlias.cxx \
+EvtGenBase/EvtMultiChannelParser.cxx \
+EvtGenBase/EvtNeutrinoParticle.cxx \
+EvtGenBase/EvtNonresonantAmp.cxx \
+EvtGenBase/EvtOrthogVector.cxx \
+EvtGenBase/EvtPDL.cxx \
+EvtGenBase/EvtParser.cxx \
+EvtGenBase/EvtPartProp.cxx \
+EvtGenBase/EvtParticle.cxx \
+EvtGenBase/EvtParticleDecay.cxx \
+EvtGenBase/EvtParticleDecayList.cxx \
+EvtGenBase/EvtParticleFactory.cxx \
+EvtGenBase/EvtPhotonParticle.cxx \
+EvtGenBase/EvtPoint1D.cxx \
+EvtGenBase/EvtPropBreitWigner.cxx \
+EvtGenBase/EvtPropBreitWignerRel.cxx \
+EvtGenBase/EvtPropFlatte.cxx \
+EvtGenBase/EvtPropGounarisSakurai.cxx \
+EvtGenBase/EvtPto3PAmp.cxx \
+EvtGenBase/EvtPto3PAmpFactory.cxx \
+EvtGenBase/EvtPto3PAmpSmpResolution.cxx \
+EvtGenBase/EvtRadCorr.cxx \
+EvtGenBase/EvtRanFor.cxx \
+EvtGenBase/EvtRandom.cxx \
+EvtGenBase/EvtRanf.cxx \
+EvtGenBase/EvtRaritaSchwinger.cxx \
+EvtGenBase/EvtRaritaSchwingerParticle.cxx \
+EvtGenBase/EvtRelBreitWignerBarrierFact.cxx \
+EvtGenBase/EvtReport.cxx \
+EvtGenBase/EvtResonance.cxx \
+EvtGenBase/EvtResonance2.cxx \
+EvtGenBase/EvtScalarParticle.cxx \
+EvtGenBase/EvtSecondary.cxx \
+EvtGenBase/EvtSemiLeptonicAmp.cxx \
+EvtGenBase/EvtSemiLeptonicBaryonAmp.cxx \
+EvtGenBase/EvtSemiLeptonicScalarAmp.cxx \
+EvtGenBase/EvtSemiLeptonicTensorAmp.cxx \
+EvtGenBase/EvtSemiLeptonicVectorAmp.cxx \
+EvtGenBase/EvtSimpleRandomEngine.cxx \
+EvtGenBase/EvtSpinAmp.cxx \
+EvtGenBase/EvtSpinDensity.cxx \
+EvtGenBase/EvtSpinType.cxx \
+EvtGenBase/EvtStdHep.cxx \
+EvtGenBase/EvtStringParticle.cxx \
+EvtGenBase/EvtSymTable.cxx \
+EvtGenBase/EvtTensor3C.cxx \
+EvtGenBase/EvtTensor4C.cxx \
+EvtGenBase/EvtTensorParticle.cxx \
+EvtGenBase/EvtTwoBodyKine.cxx \
+EvtGenBase/EvtTwoBodyVertex.cxx \
+EvtGenBase/EvtValError.cxx \
+EvtGenBase/EvtVector3C.cxx \
+EvtGenBase/EvtVector3R.cxx \
+EvtGenBase/EvtVector4C.cxx \
+EvtGenBase/EvtVector4R.cxx \
+EvtGenBase/EvtVectorParticle.cxx \
+EvtGenBase/EvtdFunction.cxx \
+EvtGenBase/EvtdFunctionSingle.cxx
+
+HDRS:= EvtGenBase/Evt3Rank3C.hh \
+EvtGenBase/EvtAbsBinning.hh \
+EvtGenBase/EvtAbsLineShape.hh \
+EvtGenBase/EvtAbsRadCorr.hh \
+EvtGenBase/EvtAmpAmpPdf.hh \
+EvtGenBase/EvtAmpFactory.hh \
+EvtGenBase/EvtAmp.hh \
+EvtGenBase/EvtAmpIndex.hh \
+EvtGenBase/EvtAmplitude.hh \
+EvtGenBase/EvtAmplitudeSum.hh \
+EvtGenBase/EvtAmpPdf.hh \
+EvtGenBase/EvtAmpSubIndex.hh \
+EvtGenBase/EvtBlattWeisskopf.hh \
+EvtGenBase/EvtBreitWignerPdf.hh \
+EvtGenBase/EvtCGCoefSingle.hh \
+EvtGenBase/EvtComplex.hh \
+EvtGenBase/EvtConst.hh \
+EvtGenBase/EvtCPUtil.hh \
+EvtGenBase/EvtCyclic3.hh \
+EvtGenBase/EvtDalitzCoord.hh \
+EvtGenBase/EvtDalitzFlatPdf.hh \
+EvtGenBase/EvtDalitzPlot.hh \
+EvtGenBase/EvtDalitzPoint.hh \
+EvtGenBase/EvtDalitzReso.hh \
+EvtGenBase/EvtDalitzResPdf.hh \
+EvtGenBase/EvtDecayAmp.hh \
+EvtGenBase/EvtDecayBase.hh \
+EvtGenBase/EvtDecayIncoherent.hh \
+EvtGenBase/EvtDecayMode.hh \
+EvtGenBase/EvtDecayParm.hh \
+EvtGenBase/EvtDecayProb.hh \
+EvtGenBase/EvtDecayTable.hh \
+EvtGenBase/EvtdFunction.hh \
+EvtGenBase/EvtdFunctionSingle.hh \
+EvtGenBase/EvtDiLog.hh \
+EvtGenBase/EvtDiracParticle.hh \
+EvtGenBase/EvtDiracSpinor.hh \
+EvtGenBase/EvtEvalHelAmp.hh \
+EvtGenBase/EvtFlatAmp.hh \
+EvtGenBase/EvtFlatLineShape.hh \
+EvtGenBase/EvtFlatte.hh \
+EvtGenBase/EvtGammaMatrix.hh \
+EvtGenBase/EvtGenKine.hh \
+EvtGenBase/EvtHighSpinParticle.hh \
+EvtGenBase/EvtId.hh \
+EvtGenBase/EvtIdSet.hh \
+EvtGenBase/EvtIntegPdf1D.hh \
+EvtGenBase/EvtIntervalFlatPdf.hh \
+EvtGenBase/EvtKine.hh \
+EvtGenBase/EvtLASSAmp.hh \
+EvtGenBase/EvtMacros.hh \
+EvtGenBase/EvtManyDeltaFuncLineShape.hh \
+EvtGenBase/EvtMassAmp.hh \
+EvtGenBase/EvtMatrix.hh \
+EvtGenBase/EvtMBreitWigner.hh \
+EvtGenBase/EvtMHelAmp.hh \
+EvtGenBase/EvtMNode.hh \
+EvtGenBase/EvtModelAlias.hh \
+EvtGenBase/EvtModel.hh \
+EvtGenBase/EvtMParticle.hh \
+EvtGenBase/EvtMRes.hh \
+EvtGenBase/EvtMTree.hh \
+EvtGenBase/EvtMTrivialLS.hh \
+EvtGenBase/EvtMultiChannelParser.hh \
+EvtGenBase/EvtNeutrinoParticle.hh \
+EvtGenBase/EvtNonresonantAmp.hh \
+EvtGenBase/EvtOrthogVector.hh \
+EvtGenBase/EvtParser.hh \
+EvtGenBase/EvtParticleDecay.hh \
+EvtGenBase/EvtParticleDecayList.hh \
+EvtGenBase/EvtParticleFactory.hh \
+EvtGenBase/EvtParticle.hh \
+EvtGenBase/EvtPartProp.hh \
+EvtGenBase/EvtPatches.hh \
+EvtGenBase/EvtPdf.hh \
+EvtGenBase/EvtPdfMax.hh \
+EvtGenBase/EvtPdfSum.hh \
+EvtGenBase/EvtPDL.hh \
+EvtGenBase/EvtPhotonParticle.hh \
+EvtGenBase/EvtPoint1D.hh \
+EvtGenBase/EvtPointPred.hh \
+EvtGenBase/EvtPredGen.hh \
+EvtGenBase/EvtPropagator.hh \
+EvtGenBase/EvtPropBreitWigner.hh \
+EvtGenBase/EvtPropBreitWignerRel.hh \
+EvtGenBase/EvtPropFlatte.hh \
+EvtGenBase/EvtPropGounarisSakurai.hh \
+EvtGenBase/EvtPto3PAmpFactory.hh \
+EvtGenBase/EvtPto3PAmp.hh \
+EvtGenBase/EvtPto3PAmpSmpResolution.hh \
+EvtGenBase/EvtRadCorr.hh \
+EvtGenBase/EvtRandomEngine.hh \
+EvtGenBase/EvtRandom.hh \
+EvtGenBase/EvtRaritaSchwinger.hh \
+EvtGenBase/EvtRaritaSchwingerParticle.hh \
+EvtGenBase/EvtRelBreitWignerBarrierFact.hh \
+EvtGenBase/EvtReport.hh \
+EvtGenBase/EvtResonance2.hh \
+EvtGenBase/EvtResonance.hh \
+EvtGenBase/EvtScalarParticle.hh \
+EvtGenBase/EvtSecondary.hh \
+EvtGenBase/EvtSemiLeptonicAmp.hh \
+EvtGenBase/EvtSemiLeptonicBaryonAmp.hh \
+EvtGenBase/EvtSemiLeptonicFF.hh \
+EvtGenBase/EvtSemiLeptonicScalarAmp.hh \
+EvtGenBase/EvtSemiLeptonicTensorAmp.hh \
+EvtGenBase/EvtSemiLeptonicVectorAmp.hh \
+EvtGenBase/EvtSimpleRandomEngine.hh \
+EvtGenBase/EvtSpinAmp.hh EvtGenBase/EvtSpinDensity.hh \
+EvtGenBase/EvtSpinType.hh \
+EvtGenBase/EvtStatus.hh \
+EvtGenBase/EvtStdHep.hh \
+EvtGenBase/EvtStdlibRandomEngine.hh \
+EvtGenBase/EvtStreamAdapter.hh \
+EvtGenBase/EvtStreamInputIterator.hh \
+EvtGenBase/EvtStringHash.hh \
+EvtGenBase/EvtStringParticle.hh \
+EvtGenBase/EvtSymTable.hh \
+EvtGenBase/EvtTensor3C.hh \
+EvtGenBase/EvtTensor4C.hh \
+EvtGenBase/EvtTensorParticle.hh \
+EvtGenBase/EvtTwoBodyKine.hh \
+EvtGenBase/EvtTwoBodyVertex.hh \
+EvtGenBase/EvtValError.hh \
+EvtGenBase/EvtVector3C.hh \
+EvtGenBase/EvtVector3R.hh \
+EvtGenBase/EvtVector4C.hh \
+EvtGenBase/EvtVector4R.hh \
+EvtGenBase/EvtVectorParticle.hh
+
+EINCLUDE:= TEvtGen TEvtGen/EvtGenBase
+
+DHDR:=EvtGenBase/EvtGenBaseLinkDef.h
+
+EXPORT:=
+
+CSRCS:=
+
+
+FSRCS:=
+
+ifeq (win32gcc,$(ALICE_TARGET))
+PACKSOFLAGS:= $(SOFLAGS) -L$(ALICE_ROOT)/lib/tgt_$(ALICE_TARGET) \
+ -L$(shell root-config --libdir)\include
+
+endif
--- /dev/null
+#-*- Mode: Makefile -*-
+#include $(ROOTSYS)/etc/vmc/Makefile.linux
+
+SRCS:= EvtGenModels/EvtBBScalar.cxx EvtGenModels/EvtBHadronic.cxx \
+EvtGenModels/EvtBTo3piCP.cxx \
+EvtGenModels/EvtBTo4piCP.cxx \
+EvtGenModels/EvtBToKpipiCP.cxx \
+EvtGenModels/EvtBToPlnuBK.cxx \
+EvtGenModels/EvtBToPlnuBKFF.cxx \
+EvtGenModels/EvtBToVlnuBall.cxx \
+EvtGenModels/EvtBToVlnuBallFF.cxx \
+EvtGenModels/EvtBsquark.cxx \
+EvtGenModels/EvtBto2piCPiso.cxx \
+EvtGenModels/EvtBtoKD3P.cxx \
+EvtGenModels/EvtBtoKpiCPiso.cxx \
+EvtGenModels/EvtBtoXsEtap.cxx \
+EvtGenModels/EvtBtoXsgamma.cxx \
+EvtGenModels/EvtBtoXsgammaAbsModel.cxx \
+EvtGenModels/EvtBtoXsgammaAliGreub.cxx \
+EvtGenModels/EvtBtoXsgammaFermiUtil.cxx \
+EvtGenModels/EvtBtoXsgammaFixedMass.cxx \
+EvtGenModels/EvtBtoXsgammaFlatEnergy.cxx \
+EvtGenModels/EvtBtoXsgammaKagan.cxx \
+EvtGenModels/EvtBtoXsgammaRootFinder.cxx \
+EvtGenModels/EvtBtoXsll.cxx \
+EvtGenModels/EvtBtoXsllUtil.cxx \
+EvtGenModels/EvtCBTo3piMPP.cxx \
+EvtGenModels/EvtCBTo3piP00.cxx \
+EvtGenModels/EvtD0mixDalitz.cxx \
+EvtGenModels/EvtDDalitz.cxx \
+EvtGenModels/EvtDMix.cxx \
+EvtGenModels/EvtEtaDalitz.cxx \
+EvtGenModels/EvtFlatQ2.cxx \
+EvtGenModels/EvtGoityRoberts.cxx \
+EvtGenModels/EvtHQET.cxx \
+EvtGenModels/EvtHQET2.cxx \
+EvtGenModels/EvtHQET2FF.cxx \
+EvtGenModels/EvtHQETFF.cxx \
+EvtGenModels/EvtHelAmp.cxx \
+EvtGenModels/EvtHypNonLepton.cxx \
+EvtGenModels/EvtISGW.cxx \
+EvtGenModels/EvtISGW2.cxx \
+EvtGenModels/EvtISGW2FF.cxx \
+EvtGenModels/EvtISGWFF.cxx \
+EvtGenModels/EvtItgAbsFunction.cxx \
+EvtGenModels/EvtItgAbsIntegrator.cxx \
+EvtGenModels/EvtItgFourCoeffFcn.cxx \
+EvtGenModels/EvtItgFunction.cxx \
+EvtGenModels/EvtItgPtrFunction.cxx \
+EvtGenModels/EvtItgSimpsonIntegrator.cxx \
+EvtGenModels/EvtItgThreeCoeffFcn.cxx \
+EvtGenModels/EvtItgTwoCoeffFcn.cxx \
+EvtGenModels/EvtKKLambdaC.cxx \
+EvtGenModels/EvtKKLambdaCFF.cxx \
+EvtGenModels/EvtKstarnunu.cxx \
+EvtGenModels/EvtKstarstargamma.cxx \
+EvtGenModels/EvtLNuGamma.cxx \
+EvtGenModels/EvtLambdaP_BarGamma.cxx \
+EvtGenModels/EvtLb2Lll.cxx \
+EvtGenModels/EvtMelikhov.cxx \
+EvtGenModels/EvtMelikhovFF.cxx \
+EvtGenModels/EvtModelReg.cxx \
+EvtGenModels/EvtMultibody.cxx \
+EvtGenModels/EvtOmegaDalitz.cxx \
+EvtGenModels/EvtPFermi.cxx \
+EvtGenModels/EvtPHOTOS.cxx \
+EvtGenModels/EvtPartWave.cxx \
+EvtGenModels/EvtPhiDalitz.cxx \
+EvtGenModels/EvtPhsp.cxx \
+EvtGenModels/EvtPi0Dalitz.cxx \
+EvtGenModels/EvtPropSLPole.cxx \
+EvtGenModels/EvtPto3P.cxx EvtGenModels/EvtSLBKPole.cxx \
+EvtGenModels/EvtSLBKPoleFF.cxx \
+EvtGenModels/EvtSLN.cxx \
+EvtGenModels/EvtSLPole.cxx \
+EvtGenModels/EvtSLPoleFF.cxx \
+EvtGenModels/EvtSSDCP.cxx \
+EvtGenModels/EvtSSSCP.cxx \
+EvtGenModels/EvtSSSCPT.cxx \
+EvtGenModels/EvtSSSCPpng.cxx \
+EvtGenModels/EvtSTS.cxx \
+EvtGenModels/EvtSTSCP.cxx \
+EvtGenModels/EvtSVPCP.cxx \
+EvtGenModels/EvtSVPHelAmp.cxx \
+EvtGenModels/EvtSVS.cxx \
+EvtGenModels/EvtSVSCP.cxx \
+EvtGenModels/EvtSVSCPLH.cxx \
+EvtGenModels/EvtSVSCPiso.cxx \
+EvtGenModels/EvtSVSNONCPEIGEN.cxx \
+EvtGenModels/EvtSVVCP.cxx \
+EvtGenModels/EvtSVVCPLH.cxx \
+EvtGenModels/EvtSVVHelAmp.cxx \
+EvtGenModels/EvtSVVHelCPMix.cxx \
+EvtGenModels/EvtSVVNONCPEIGEN.cxx \
+EvtGenModels/EvtSingleParticle.cxx \
+EvtGenModels/EvtSll.cxx \
+EvtGenModels/EvtTSS.cxx \
+EvtGenModels/EvtTVSPwave.cxx \
+EvtGenModels/EvtTauHadnu.cxx \
+EvtGenModels/EvtTauScalarnu.cxx \
+EvtGenModels/EvtTauVectornu.cxx \
+EvtGenModels/EvtTaulnunu.cxx \
+EvtGenModels/EvtVPHOtoV.cxx \
+EvtGenModels/EvtVPHOtoVISR.cxx \
+EvtGenModels/EvtVPHOtoVISRHi.cxx \
+EvtGenModels/EvtVSPPwave.cxx \
+EvtGenModels/EvtVSS.cxx \
+EvtGenModels/EvtVSSBMixCPT.cxx \
+EvtGenModels/EvtVSSMix.cxx \
+EvtGenModels/EvtVVP.cxx \
+EvtGenModels/EvtVVPIPI_WEIGHTED.cxx \
+EvtGenModels/EvtVVSPwave.cxx \
+EvtGenModels/EvtVVpipi.cxx \
+EvtGenModels/EvtVectorIsr.cxx \
+EvtGenModels/EvtVll.cxx \
+EvtGenModels/EvtVtoSll.cxx \
+EvtGenModels/EvtVub.cxx \
+EvtGenModels/EvtVubAC.cxx \
+EvtGenModels/EvtVubBLNP.cxx \
+EvtGenModels/EvtVubBLNPHybrid.cxx \
+EvtGenModels/EvtVubHybrid.cxx \
+EvtGenModels/EvtVubNLO.cxx \
+EvtGenModels/EvtVubdGamma.cxx \
+EvtGenModels/EvtWilsonCoeficients.cxx \
+EvtGenModels/EvtY3SToY1SpipiMoxhay.cxx \
+EvtGenModels/EvtYmSToYnSpipiCLEO.cxx \
+EvtGenModels/EvtbTosllAli.cxx \
+EvtGenModels/EvtbTosllAliFF.cxx \
+EvtGenModels/EvtbTosllAmp.cxx \
+EvtGenModels/EvtbTosllBall.cxx \
+EvtGenModels/EvtbTosllBallFF.cxx \
+EvtGenModels/EvtbTosllScalarAmp.cxx \
+EvtGenModels/EvtbTosllVectorAmp.cxx \
+EvtGenModels/rly.cxx \
+EvtGenModels/EvtPycont.cxx \
+EvtGenModels/EvtPyGaGa.cxx \
+EvtGenModels/EvtPythia.cxx
+
+
+HDRS:= EvtGenModels/EvtBBScalar.hh \
+EvtGenModels/EvtBHadronic.hh \
+EvtGenModels/EvtBsquark.hh \
+EvtGenModels/EvtBto2piCPiso.hh \
+EvtGenModels/EvtBTo3piCP.hh \
+EvtGenModels/EvtBTo4piCP.hh \
+EvtGenModels/EvtBtoKD3P.hh \
+EvtGenModels/EvtBtoKpiCPiso.hh \
+EvtGenModels/EvtBToKpipiCP.hh \
+EvtGenModels/EvtBToPlnuBKFF.hh \
+EvtGenModels/EvtBToPlnuBK.hh \
+EvtGenModels/EvtbTosllAliFF.hh \
+EvtGenModels/EvtbTosllAli.hh \
+EvtGenModels/EvtbTosllAmp.hh \
+EvtGenModels/EvtbTosllBallFF.hh \
+EvtGenModels/EvtbTosllBall.hh \
+EvtGenModels/EvtbTosllFF.hh \
+EvtGenModels/EvtbTosllScalarAmp.hh \
+EvtGenModels/EvtbTosllVectorAmp.hh \
+EvtGenModels/EvtBToVlnuBallFF.hh \
+EvtGenModels/EvtBToVlnuBall.hh \
+EvtGenModels/EvtBtoXsEtap.hh \
+EvtGenModels/EvtBtoXsgammaAbsModel.hh \
+EvtGenModels/EvtBtoXsgammaAliGreub.hh \
+EvtGenModels/EvtBtoXsgammaFermiUtil.hh \
+EvtGenModels/EvtBtoXsgammaFixedMass.hh \
+EvtGenModels/EvtBtoXsgammaFlatEnergy.hh \
+EvtGenModels/EvtBtoXsgamma.hh \
+EvtGenModels/EvtBtoXsgammaKagan.hh \
+EvtGenModels/EvtBtoXsgammaRootFinder.hh \
+EvtGenModels/EvtBtoXsll.hh \
+EvtGenModels/EvtBtoXsllUtil.hh \
+EvtGenModels/EvtCBTo3piMPP.hh \
+EvtGenModels/EvtCBTo3piP00.hh \
+EvtGenModels/EvtD0mixDalitz.hh \
+EvtGenModels/EvtDDalitz.hh \
+EvtGenModels/EvtDMix.hh \
+EvtGenModels/EvtEtaDalitz.hh \
+EvtGenModels/EvtFlatQ2.hh \
+EvtGenModels/EvtGoityRoberts.hh \
+EvtGenModels/EvtHelAmp.hh \
+EvtGenModels/EvtHQET2FF.hh \
+EvtGenModels/EvtHQET2.hh \
+EvtGenModels/EvtHQETFF.hh \
+EvtGenModels/EvtHQET.hh \
+EvtGenModels/EvtHypNonLepton.hh \
+EvtGenModels/EvtIntervalDecayAmp.hh \
+EvtGenModels/EvtISGW2FF.hh \
+EvtGenModels/EvtISGW2.hh \
+EvtGenModels/EvtISGWFF.hh \
+EvtGenModels/EvtISGW.hh \
+EvtGenModels/EvtItgAbsFunction.hh \
+EvtGenModels/EvtItgAbsIntegrator.hh \
+EvtGenModels/EvtItgFourCoeffFcn.hh \
+EvtGenModels/EvtItgFunction.hh \
+EvtGenModels/EvtItgPtrFunction.hh \
+EvtGenModels/EvtItgSimpsonIntegrator.hh \
+EvtGenModels/EvtItgThreeCoeffFcn.hh \
+EvtGenModels/EvtItgTwoCoeffFcn.hh \
+EvtGenModels/EvtKKLambdaCFF.hh \
+EvtGenModels/EvtKKLambdaC.hh \
+EvtGenModels/EvtKstarnunu.hh \
+EvtGenModels/EvtKstarstargamma.hh \
+EvtGenModels/EvtLambdaP_BarGamma.hh \
+EvtGenModels/EvtLb2Lll.hh \
+EvtGenModels/EvtLNuGamma.hh \
+EvtGenModels/EvtMelikhovFF.hh \
+EvtGenModels/EvtMelikhov.hh \
+EvtGenModels/EvtModelReg.hh \
+EvtGenModels/EvtMultibody.hh \
+EvtGenModels/EvtOmegaDalitz.hh \
+EvtGenModels/EvtPartWave.hh \
+EvtGenModels/EvtPFermi.hh \
+EvtGenModels/EvtPhiDalitz.hh \
+EvtGenModels/EvtPHOTOS.hh \
+EvtGenModels/EvtPhsp.hh \
+EvtGenModels/EvtPi0Dalitz.hh \
+EvtGenModels/EvtPropSLPole.hh \
+EvtGenModels/EvtPto3P.hh \
+EvtGenModels/EvtSingleParticle.hh \
+EvtGenModels/EvtSLBKPoleFF.hh \
+EvtGenModels/EvtSLBKPole.hh \
+EvtGenModels/EvtSll.hh \
+EvtGenModels/EvtSLN.hh \
+EvtGenModels/EvtSLPoleFF.hh \
+EvtGenModels/EvtSLPole.hh \
+EvtGenModels/EvtSSDCP.hh \
+EvtGenModels/EvtSSSCP.hh \
+EvtGenModels/EvtSSSCPpng.hh \
+EvtGenModels/EvtSSSCPT.hh \
+EvtGenModels/EvtSTSCP.hh \
+EvtGenModels/EvtSTS.hh \
+EvtGenModels/EvtSVPCP.hh \
+EvtGenModels/EvtSVPHelAmp.hh \
+EvtGenModels/EvtSVSCP.hh \
+EvtGenModels/EvtSVSCPiso.hh \
+EvtGenModels/EvtSVSCPLH.hh \
+EvtGenModels/EvtSVS.hh \
+EvtGenModels/EvtSVSNONCPEIGEN.hh \
+EvtGenModels/EvtSVVCP.hh \
+EvtGenModels/EvtSVVCPLH.hh \
+EvtGenModels/EvtSVVHelAmp.hh \
+EvtGenModels/EvtSVVHelCPMix.hh \
+EvtGenModels/EvtSVVNONCPEIGEN.hh \
+EvtGenModels/EvtTauHadnu.hh \
+EvtGenModels/EvtTaulnunu.hh \
+EvtGenModels/EvtTauScalarnu.hh \
+EvtGenModels/EvtTauVectornu.hh \
+EvtGenModels/EvtTSS.hh \
+EvtGenModels/EvtTVSPwave.hh \
+EvtGenModels/EvtVectorIsr.hh \
+EvtGenModels/EvtVll.hh \
+EvtGenModels/EvtVPHOtoV.hh \
+EvtGenModels/EvtVPHOtoVISR.hh \
+EvtGenModels/EvtVPHOtoVISRHi.hh \
+EvtGenModels/EvtVSPPwave.hh \
+EvtGenModels/EvtVSSBMixCPT.hh \
+EvtGenModels/EvtVSS.hh \
+EvtGenModels/EvtVSSMix.hh \
+EvtGenModels/EvtVtoSll.hh \
+EvtGenModels/EvtVubAC.hh EvtGenModels/EvtVubBLNP.hh EvtGenModels/EvtVubBLNPHybrid.hh \
+EvtGenModels/EvtVubdGamma.hh \
+EvtGenModels/EvtVub.hh EvtGenModels/EvtVubHybrid.hh \
+EvtGenModels/EvtVubNLO.hh EvtGenModels/EvtVVP.hh \
+EvtGenModels/EvtVVpipi.hh \
+EvtGenModels/EvtVVPIPI_WEIGHTED.hh \
+EvtGenModels/EvtVVSPwave.hh \
+EvtGenModels/EvtWilsonCoeficients.hh \
+EvtGenModels/EvtY3SToY1SpipiMoxhay.hh \
+EvtGenModels/EvtYmSToYnSpipiCLEO.hh \
+EvtGenModels/EvtPycont.hh \
+EvtGenModels/EvtPyGaGa.hh \
+EvtGenModels/EvtPythia.hh
+
+
+DHDR:=EvtGenModels/EvtGenModelsLinkDef.h
+
+EXPORT:=
+
+CSRCS:=
+
+EINCLUDE:= TEvtGen TEvtGen/EvtGenModels
+#EINCLUDE:=FASTSIM
+
+FSRCS:= \
+EvtGenModels/EvtBTo3pi.F \
+EvtGenModels/EvtBTo3piMPP.F \
+EvtGenModels/EvtBTo3piP00.F \
+EvtGenModels/EvtBToKpipi.F \
+EvtGenModels/EvtLi2Spence.F \
+EvtGenModels/begevtgenget.F \
+EvtGenModels/begevtgengetx.F \
+EvtGenModels/begevtgenstore.F \
+EvtGenModels/begevtgenstorex.F \
+EvtGenModels/pykcut.F \
+EvtGenModels/pytime.F \
+EvtGenModels/Pythia.F
+
+
+
+
+
+
+ifeq (win32gcc,$(ALICE_TARGET))
+PACKSOFLAGS:= $(SOFLAGS) -L$(ALICE_ROOT)/lib/tgt_$(ALICE_TARGET) -lphotos -lEvtGenBase -llhapdf -lpythia6
+
+endif
--- /dev/null
+#-*- Mode: Makefile -*-
+
+SRCS = AliDecayerEvtGen.cxx AliGenEvtGen.cxx
+
+HDRS:= $(SRCS:.cxx=.h)
+
+DHDR:= TEvtGenLinkDef.h
+
+EINCLUDE:=TEvtGen EVGEN
+
+ifeq (win32gcc,$(ALICE_TARGET))
+PACKSOFLAGS:= $(SOFLAGS) -L$(ALICE_ROOT)/lib/tgt_$(ALICE_TARGET) -lSTEERBase -lSTEER -lFASTSIM\
+ -lESD -lAOD -lANALYSIS -lANALYSISalice -lEVGEN -llhapdf\
+ -L$(shell root-config --libdir) -lEG -lVMC\
+ -L$(ALICE_ROOT)/TEvtGen/EvtGen -lEvtGen -lEvtGenBase -lEvtGenModels
+endif
--- /dev/null
+#-*- Mode: Makefile -*-
+
+FSRCS= \
+PHOTOS/phcork.F \
+PHOTOS/phint.F \
+PHOTOS/phint1.F \
+PHOTOS/phlupa.F \
+PHOTOS/phoan1.F \
+PHOTOS/phoan2.F \
+PHOTOS/phobo3.F \
+PHOTOS/phobos.F \
+PHOTOS/phocha.F \
+PHOTOS/phochk.F \
+PHOTOS/phocin.F \
+PHOTOS/phocor.F \
+PHOTOS/phodo.F \
+PHOTOS/phoene.F \
+PHOTOS/phoerr.F \
+PHOTOS/phofac.F \
+PHOTOS/phoin.F \
+PHOTOS/phoinf.F \
+PHOTOS/phoini.F \
+PHOTOS/phomak.F \
+PHOTOS/phooma.F \
+PHOTOS/phoout.F \
+PHOTOS/phopre.F \
+PHOTOS/phoran.F \
+PHOTOS/phorep.F \
+PHOTOS/phorin.F \
+PHOTOS/phoro2.F \
+PHOTOS/phoro3.F \
+PHOTOS/phospi.F \
+PHOTOS/photos.F \
+PHOTOS/photos_get.F \
+PHOTOS/photos_make.F \
+PHOTOS/photos_set.F \
+PHOTOS/photri.F \
+PHOTOS/photwo.F \
+PHOTOS/phtype.F
+
+#CSRCS= geteni.c fchput.c fchtak.c dummies.c
+
+#ifneq (,$(findstring macosx,$(ALICE_TARGET)))
+#CSRCS+=lnblnk.c
+#endif
+
+EINCLUDE:=
+
+#PACKFFLAGS := $(FFLAGS) -IMICROCERN/kerngen
+PACKFFLAGS := $(FFLAGS) -IPYTHIA6 -L$(ALICE_ROOT)/lib/tgt_$(ALICE_TARGET)
+
git://git.uio.no / u / mrichter / AliRoot.git / commitdiff